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709.2835 | Coronae in the Coronet: A very deep X-ray look into a stellar nursery | In order to study the X-ray properties of young stellar objects (YSOs), we
analyze an exceptionally sensitive Chandra dataset of the Coronet cluster in
the CrA star-forming region, achieving a limiting luminosity of LXmin=5E26
erg/sec for lightly absorbed sources. This dataset represents one of the most
sensitive X-ray observations ever obtained of a star-forming region. The X-ray
data are used to investigate the membership status of tentative members of the
region, to derive plasma temperatures and X-ray luminosities of the YSOs, and
to investigate variability on the timescale of several years. 46 of the 92
X-ray sources in the merged Chandra image can be identified with optical or
near/mid-infrared counterparts. X-ray emission is detected from all of the
previously known optically visible late-type (spectral types G to M) stellar
cluster members, from five of the eight brown dwarf candidates, and from nine
embedded objects ("protostars") with class 0, class I, or flat-spectrum SEDs in
the field of view. While the Herbig Ae/Be stars TY CrA and R CrA, a close
companion of the B9e star HD 176386, and the F0e star T CrA are detected, no
X-ray emission is found from any of the Herbig-Haro (HH) objects or the
protostellar cores without infrared source. We find indications for diffuse
X-ray emission near R CrA / IRS 7. The observed X-ray properties of the Coronet
YSOs are consistent with coronal activity; no soft spectral components hinting
towards X-ray emission from accretion shocks were found. The X-ray emission of
the AeBe stars TY CrA and HD 176386 originates probably from close late-type
companions. The Ae star R Cra shows a peculiar X-ray spectrum and an extremely
hot plasma temperature. Finally, we discuss the differences of the X-ray
properties of YSOs in different evolutionary stages.
| astro-ph | in order to study the xray properties of young stellar objects ysos we analyze an exceptionally sensitive chandra dataset of the coronet cluster in the cra starforming region achieving a limiting luminosity of lxmin5e26 ergsec for lightly absorbed sources this dataset represents one of the most sensitive xray observations ever obtained of a starforming region the xray data are used to investigate the membership status of tentative members of the region to derive plasma temperatures and xray luminosities of the ysos and to investigate variability on the timescale of several years 46 of the 92 xray sources in the merged chandra image can be identified with optical or nearmidinfrared counterparts xray emission is detected from all of the previously known optically visible latetype spectral types g to m stellar cluster members from five of the eight brown dwarf candidates and from nine embedded objects protostars with class 0 class i or flatspectrum seds in the field of view while the herbig aebe stars ty cra and r cra a close companion of the b9e star hd 176386 and the f0e star t cra are detected no xray emission is found from any of the herbigharo hh objects or the protostellar cores without infrared source we find indications for diffuse xray emission near r cra irs 7 the observed xray properties of the coronet ysos are consistent with coronal activity no soft spectral components hinting towards xray emission from accretion shocks were found the xray emission of the aebe stars ty cra and hd 176386 originates probably from close latetype companions the ae star r cra shows a peculiar xray spectrum and an extremely hot plasma temperature finally we discuss the differences of the xray properties of ysos in different evolutionary stages | [['in', 'order', 'to', 'study', 'the', 'xray', 'properties', 'of', 'young', 'stellar', 'objects', 'ysos', 'we', 'analyze', 'an', 'exceptionally', 'sensitive', 'chandra', 'dataset', 'of', 'the', 'coronet', 'cluster', 'in', 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709.2836 | Hamiltonians on discrete structures: Jumps of the integrated density of
states and uniform convergence | We study equivariant families of discrete Hamiltonians on amenable geometries
and their integrated density of states (IDS). We prove that the eigenspace of a
fixed energy is spanned by eigenfunctions with compact support. The size of a
jump of the IDS is consequently given by the equivariant dimension of the
subspace spanned by such eigenfunctions. From this we deduce uniform
convergence (w.r.t. the spectral parameter) of the finite volume approximants
of the IDS. Our framework includes quasiperiodic operators on Delone sets,
periodic and random operators on quasi-transitive graphs, and operators on
percolation graphs.
| math.MG math-ph math.MP math.SP | we study equivariant families of discrete hamiltonians on amenable geometries and their integrated density of states ids we prove that the eigenspace of a fixed energy is spanned by eigenfunctions with compact support the size of a jump of the ids is consequently given by the equivariant dimension of the subspace spanned by such eigenfunctions from this we deduce uniform convergence wrt the spectral parameter of the finite volume approximants of the ids our framework includes quasiperiodic operators on delone sets periodic and random operators on quasitransitive graphs and operators on percolation graphs | [['we', 'study', 'equivariant', 'families', 'of', 'discrete', 'hamiltonians', 'on', 'amenable', 'geometries', 'and', 'their', 'integrated', 'density', 'of', 'states', 'ids', 'we', 'prove', 'that', 'the', 'eigenspace', 'of', 'a', 'fixed', 'energy', 'is', 'spanned', 'by', 'eigenfunctions', 'with', 'compact', 'support', 'the', 'size', 'of', 'a', 'jump', 'of', 'the', 'ids', 'is', 'consequently', 'given', 'by', 'the', 'equivariant', 'dimension', 'of', 'the', 'subspace', 'spanned', 'by', 'such', 'eigenfunctions', 'from', 'this', 'we', 'deduce', 'uniform', 'convergence', 'wrt', 'the', 'spectral', 'parameter', 'of', 'the', 'finite', 'volume', 'approximants', 'of', 'the', 'ids', 'our', 'framework', 'includes', 'quasiperiodic', 'operators', 'on', 'delone', 'sets', 'periodic', 'and', 'random', 'operators', 'on', 'quasitransitive', 'graphs', 'and', 'operators', 'on', 'percolation', 'graphs']] | [-0.16063157837557537, 0.11423351115957704, -0.048490798997101923, 0.061363909870476255, -0.029729536308916987, -0.06921953748991733, 0.06628109563031905, 0.36104132687693, -0.24694650990748276, -0.17970562607841065, 0.14899797253410824, -0.29600370520605673, -0.11861399106020408, 0.18119935283777855, -0.08275318179299594, 0.10473276455436022, 0.07608845680751787, 0.08995999046351, -0.08352553400821904, -0.2267324378862927, 0.44425809967972496, -0.0181634616487289, 0.22981510915222667, 0.03167568773572003, 0.10830726012476764, 0.01797217715741886, -0.05631096004157938, 0.016734172104387192, -0.14613755822711516, 0.1783972642583502, 0.22591225640668022, 0.1008345425048823, 0.22846010872112807, -0.36568830623942356, -0.17200447896855972, 0.16266563224358363, 0.12484629716603987, 0.03775717669557179, 0.019269898900279015, -0.34112890659811435, 0.08467707341356624, -0.13891281197548552, -0.18049205122615702, -0.10607734838280306, 0.05015409829956229, 0.09714911204902955, -0.26201556485036126, 0.032146830507303756, 0.11328260352214177, 0.09221966300279863, -0.09179061541574136, -0.08973188681517957, -0.07060548251304495, 0.06958278943409002, -0.048858610617737934, -0.030752630402354063, 0.10756047018453159, -0.0174542117478346, -0.15660433832215526, 0.3210454941827363, -0.037476186690631734, -0.2399774939022077, 0.15958477830093715, -0.14865763623127212, -0.13897492184293686, 0.10796864300725921, 0.17331261399091893, 0.13336962674273758, -0.056355250919217705, 0.20668512607626718, -0.08147605877214421, 0.12309656037838869, 0.06969515133589026, 0.048371499199019646, 0.12775899768276242, 0.12341680298609439, 0.16843692244340977, 0.1551050773304787, -0.025658708011921775, -0.07957524457265452, -0.3113746433368614, -0.1087674754922108, -0.2629373604331606, 0.08493142605068223, -0.1868798061549696, -0.2642510191647596, 0.47877448012111007, 0.08250741348651949, 0.22820623134893755, 0.10538782294519165, 0.1936693859226521, 0.16345241369794733, 0.07090345791400841, 0.13089718067798242, 0.11926721347125388, 0.18165220097408338, 0.004627512961936493, -0.18781472358762497, -0.003933196845439373, 0.20141435014234194] |
709.2837 | Resolution Studies of GEM/Timepix Detector with 5 GeV electrons | This contribution investigates a prototype of a TPC readout with a highly
pixelated CMOS ASIC, which is an option for charged particles tracking of the
ILC. A triple GEM stack was joined with a TimePix and MediPix2 chip (pixel size
of 55$\times$55 $\mu m^2$) and its readout properties were investigated with 5
GeV electrons. The spatial resolution of the cluster center reconstruction was
determined as a function of drift distance using different cluster alhoritms
and compared with Monte Carlo predictions.
| physics.ins-det | this contribution investigates a prototype of a tpc readout with a highly pixelated cmos asic which is an option for charged particles tracking of the ilc a triple gem stack was joined with a timepix and medipix2 chip pixel size of 55times55 mu m2 and its readout properties were investigated with 5 gev electrons the spatial resolution of the cluster center reconstruction was determined as a function of drift distance using different cluster alhoritms and compared with monte carlo predictions | [['this', 'contribution', 'investigates', 'a', 'prototype', 'of', 'a', 'tpc', 'readout', 'with', 'a', 'highly', 'pixelated', 'cmos', 'asic', 'which', 'is', 'an', 'option', 'for', 'charged', 'particles', 'tracking', 'of', 'the', 'ilc', 'a', 'triple', 'gem', 'stack', 'was', 'joined', 'with', 'a', 'timepix', 'and', 'medipix2', 'chip', 'pixel', 'size', 'of', '55times55', 'mu', 'm2', 'and', 'its', 'readout', 'properties', 'were', 'investigated', 'with', '5', 'gev', 'electrons', 'the', 'spatial', 'resolution', 'of', 'the', 'cluster', 'center', 'reconstruction', 'was', 'determined', 'as', 'a', 'function', 'of', 'drift', 'distance', 'using', 'different', 'cluster', 'alhoritms', 'and', 'compared', 'with', 'monte', 'carlo', 'predictions']] | [-0.06722671745781185, 0.10817864418926477, -0.038654387398045276, -0.024423292519736895, 0.02712298409801118, -0.20687131082662677, -0.04578003521324902, 0.4370136157715622, -0.20869854179835773, -0.3646515190035482, 0.08040552938804973, -0.3368919757725317, 0.02170734175869936, 0.1796310612684281, -0.02181742234226269, 0.08769935150512884, 0.10078147085843302, -0.02250551622761767, -0.10959074436834294, -0.19458876819573814, 0.17409043182335981, 0.1967786372509561, 0.23750734330697246, -0.014500964733571568, 0.22681299528059892, 0.010273074303883353, -0.04364336070993656, -0.01616117639372809, -0.11267197514954908, 0.08959771831124974, 0.19578745259455393, 0.022168630693561717, 0.1768834904083817, -0.36032373979216137, -0.11003499751604057, 0.034612909961444664, 0.10778663721807961, -0.00902608292961281, -0.12392186514349489, -0.2968544895801976, 0.13635958281133465, -0.23349021280868143, -0.13796808749519854, 0.0707947033563558, -0.004279534426765351, 0.06667693031220874, -0.2609242986934849, -0.015156260609060904, -0.023735754910997952, 0.032135064573663795, -0.011864050275268906, -0.1444985786116906, -0.006750353965672511, 0.0510672231947508, -0.06633264868950495, 0.08011110537225687, 0.2300000243136494, -0.1076120694103073, -0.13843287767023085, 0.29092835804706885, -0.015012903445506398, -0.1984993752657253, 0.1815796966570182, -0.18189690572127135, -0.06133522119821061, 0.1750104505085398, 0.1452371805340429, 0.09403484902945877, -0.23946886010986718, 0.10195112188090276, 0.03650309065286117, 0.2487277130071734, 0.0795868681979519, 0.021245489550512756, 0.2173157906560581, 0.33043505693491126, 0.05684019987105946, 0.1696452002521439, -0.25891222657423607, -0.021345394846240553, -0.2869805896866925, -0.18836505225965683, -0.15346314982935502, 0.038094146666411734, -0.0690698952326047, -0.15941475937142968, 0.38126069632700726, 0.08260943841990791, 0.17759311957214075, 0.006092366881821823, 0.30726380990464475, 0.06900575930102362, 0.1439860020646283, -0.0009648924239592839, 0.21110718834060657, 0.16003345538378705, 0.1372159600753007, -0.18682040484574966, 0.00462428211010521, 0.03774157571724227] |
709.2838 | On the p-adic Leopoldt Transform of a power series | In this paper we give a bound for the Iwasawa lambda invariant of an abelian
number field attached to the cyclotomic Z_p-extension of that field. We also
give some properties of Iwaswa power series attached to p-adic L-functions.
| math.NT | in this paper we give a bound for the iwasawa lambda invariant of an abelian number field attached to the cyclotomic z_pextension of that field we also give some properties of iwaswa power series attached to padic lfunctions | [['in', 'this', 'paper', 'we', 'give', 'a', 'bound', 'for', 'the', 'iwasawa', 'lambda', 'invariant', 'of', 'an', 'abelian', 'number', 'field', 'attached', 'to', 'the', 'cyclotomic', 'z_pextension', 'of', 'that', 'field', 'we', 'also', 'give', 'some', 'properties', 'of', 'iwaswa', 'power', 'series', 'attached', 'to', 'padic', 'lfunctions']] | [-0.2644982725079801, 0.06847457994582648, -0.18780604836757522, 0.03546834828621532, -0.15214762982685823, -0.10068428182873775, -0.04657453069199078, 0.2572870721688142, -0.3084035006326598, -0.242851325033887, 0.030923498778704653, -0.18315252701978427, -0.12269721884985228, 0.26437320056799296, -0.13422923718855992, -0.022311358737784462, -0.05243002697573723, 0.2137319009650398, -8.689503915406562e-05, -0.38425078086957737, 0.4037057039000698, 0.011367410975130828, 0.16756235105866515, 0.04523394410372586, 0.03204234908460765, 0.0016479361298921947, 0.08548465262897112, -0.08609588685873393, -0.21286858143257387, 0.19510155889941883, 0.33542316094846336, 0.003742728810253981, 0.2288547960688939, -0.4204726623925003, -0.042226550823732, 0.22267454155292865, 0.13515580594036225, -0.020656878783090693, -0.060375751524760914, -0.22878427305132956, 0.11096718154746939, -0.21911282344041644, -0.18687916068813284, -0.10228036404461474, 0.05242011075008761, 0.053098651127436676, -0.2952235348119929, -0.025499536411213764, 0.06503308264891038, 0.21775617586398446, -0.09232294292667427, -0.16157823667634982, 0.08870366644869382, 0.05893767913300041, 0.1032263817441826, 0.0428314730273308, 0.08651232510503079, -0.1478134327177965, -0.07635548880726502, 0.31299695533675115, -0.1255131646160137, -0.17390871171310945, 0.08004785721769204, -0.18450819459315893, -0.23808083320791656, 0.12357058934867382, 0.12789055745343905, 0.1203980910012851, -0.0036297116831347748, 0.181926636352531, -0.17706105779113904, 0.06988440532035925, 0.10872424663220709, 0.004708773897004289, 0.1715837886959717, -0.027047345767150056, 0.04023845148952426, 0.23956306487623905, -0.034565009831174, 0.01600143499672413, -0.39706020840015765, -0.2458296331051561, -0.1295743805507349, 0.15199771896004677, -0.056913088201671035, -0.23329167531148806, 0.45726352889795563, 0.18592662190565387, 0.18663554296300217, 0.1729895230382681, 0.1940384188012497, 0.12407247012330068, 0.04975854292058864, 0.015074046051784142, 0.07841993771836388, 0.29796266515512726, -0.036727132527409376, -0.16664784300971675, -0.136896506140663, 0.16634484931725907] |
709.2839 | The Hottest Horizontal-Branch Stars in omega Centauri - Late Hot Flasher
vs. Helium Enrichment | UV observations of some massive globular clusters uncovered a significant
population of very hot stars below the hot end of the horizontal branch (HB),
the so-called blue hook stars. This feature might be explained either as
results of the late hot flasher scenario where stars experience the helium
flash while on the white dwarf cooling curve or by the progeny of the
helium-enriched sub-population recently postulated to exist in some clusters.
Moderately high resolution spectra of stars at the hot end of the blue HB in
omega Cen were analysed for atmospheric parameters and abundances using LTE and
Non-LTE model atmospheres. In the temperature range 30,000K to 50,000K we find
that 35% of our stars are helium-poor (log(n_He/n_H) < -2), 51% have solar
helium abundance within a factor of 3 (-1.5 <= log(n_He/n_H) <= -0.5) and 14%
are helium-rich (log(n_He/n_H)> -0.4). We also find carbon enrichment in step
with helium enrichment, with a maximum carbon enrichment of 3% by mass. At
least 14% of the hottest HB stars in omega Cen show helium abundances well
above the highest predictions from the helium enrichment scenario (Y = 0.42
corresponding to log(n_He/n_H) ~ -0.74). In addition, the most helium-rich
stars show strong carbon enrichment as predicted by the late hot flasher
scenario. We conclude that the helium-rich HB stars in omega Cen cannot be
explained solely by the helium-enrichment scenario invoked to explain the blue
main sequence. (Abridged)
| astro-ph | uv observations of some massive globular clusters uncovered a significant population of very hot stars below the hot end of the horizontal branch hb the socalled blue hook stars this feature might be explained either as results of the late hot flasher scenario where stars experience the helium flash while on the white dwarf cooling curve or by the progeny of the heliumenriched subpopulation recently postulated to exist in some clusters moderately high resolution spectra of stars at the hot end of the blue hb in omega cen were analysed for atmospheric parameters and abundances using lte and nonlte model atmospheres in the temperature range 30000k to 50000k we find that 35 of our stars are heliumpoor logn_hen_h 2 51 have solar helium abundance within a factor of 3 15 logn_hen_h 05 and 14 are heliumrich logn_hen_h 04 we also find carbon enrichment in step with helium enrichment with a maximum carbon enrichment of 3 by mass at least 14 of the hottest hb stars in omega cen show helium abundances well above the highest predictions from the helium enrichment scenario y 042 corresponding to logn_hen_h 074 in addition the most heliumrich stars show strong carbon enrichment as predicted by the late hot flasher scenario we conclude that the heliumrich hb stars in omega cen cannot be explained solely by the heliumenrichment scenario invoked to explain the blue main sequence abridged | [['uv', 'observations', 'of', 'some', 'massive', 'globular', 'clusters', 'uncovered', 'a', 'significant', 'population', 'of', 'very', 'hot', 'stars', 'below', 'the', 'hot', 'end', 'of', 'the', 'horizontal', 'branch', 'hb', 'the', 'socalled', 'blue', 'hook', 'stars', 'this', 'feature', 'might', 'be', 'explained', 'either', 'as', 'results', 'of', 'the', 'late', 'hot', 'flasher', 'scenario', 'where', 'stars', 'experience', 'the', 'helium', 'flash', 'while', 'on', 'the', 'white', 'dwarf', 'cooling', 'curve', 'or', 'by', 'the', 'progeny', 'of', 'the', 'heliumenriched', 'subpopulation', 'recently', 'postulated', 'to', 'exist', 'in', 'some', 'clusters', 'moderately', 'high', 'resolution', 'spectra', 'of', 'stars', 'at', 'the', 'hot', 'end', 'of', 'the', 'blue', 'hb', 'in', 'omega', 'cen', 'were', 'analysed', 'for', 'atmospheric', 'parameters', 'and', 'abundances', 'using', 'lte', 'and', 'nonlte', 'model', 'atmospheres', 'in', 'the', 'temperature', 'range', '30000k', 'to', '50000k', 'we', 'find', 'that', '35', 'of', 'our', 'stars', 'are', 'heliumpoor', 'logn_hen_h', '2', '51', 'have', 'solar', 'helium', 'abundance', 'within', 'a', 'factor', 'of', '3', '15', 'logn_hen_h', '05', 'and', '14', 'are', 'heliumrich', 'logn_hen_h', '04', 'we', 'also', 'find', 'carbon', 'enrichment', 'in', 'step', 'with', 'helium', 'enrichment', 'with', 'a', 'maximum', 'carbon', 'enrichment', 'of', '3', 'by', 'mass', 'at', 'least', '14', 'of', 'the', 'hottest', 'hb', 'stars', 'in', 'omega', 'cen', 'show', 'helium', 'abundances', 'well', 'above', 'the', 'highest', 'predictions', 'from', 'the', 'helium', 'enrichment', 'scenario', 'y', '042', 'corresponding', 'to', 'logn_hen_h', '074', 'in', 'addition', 'the', 'most', 'heliumrich', 'stars', 'show', 'strong', 'carbon', 'enrichment', 'as', 'predicted', 'by', 'the', 'late', 'hot', 'flasher', 'scenario', 'we', 'conclude', 'that', 'the', 'heliumrich', 'hb', 'stars', 'in', 'omega', 'cen', 'can', 'not', 'be', 'explained', 'solely', 'by', 'the', 'heliumenrichment', 'scenario', 'invoked', 'to', 'explain', 'the', 'blue', 'main', 'sequence', 'abridged']] | [-0.02403535010044238, 0.20807387709270375, -0.04331211285195956, 0.08789895218345417, -0.053235416489769705, -0.08714614691341231, 0.141386715611463, 0.40540165036659814, -0.13244978973068947, -0.3735289275284921, 0.01313590828644449, -0.3072603367517927, 0.007623089688171729, 0.1441847130664773, -0.1071654951484906, -0.10338880381183618, 0.12729796554927378, -0.024151296266766088, -0.0005559678955188278, -0.27051437249435273, 0.28528632003044235, 0.012973458700861525, 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709.284 | Suppression of Supergravity Anomalies in Conformal Sequestering | We show that the anomaly-mediated supersymmetry breaking via the Kahler and
sigma-model anomalies is suppressed by conformal dynamics in the supersymmetry
breaking sector.
| hep-ph hep-th | we show that the anomalymediated supersymmetry breaking via the kahler and sigmamodel anomalies is suppressed by conformal dynamics in the supersymmetry breaking sector | [['we', 'show', 'that', 'the', 'anomalymediated', 'supersymmetry', 'breaking', 'via', 'the', 'kahler', 'and', 'sigmamodel', 'anomalies', 'is', 'suppressed', 'by', 'conformal', 'dynamics', 'in', 'the', 'supersymmetry', 'breaking', 'sector']] | [-0.21980723001710747, 0.30030461210433557, 0.0026893072721102963, 0.19277787356860127, -0.158986733092562, -0.14400973073814227, -0.06194940253930247, 0.31598702056900313, -0.20491475004540838, -0.23043261517001234, 0.15787221677095184, -0.26986829150954017, -0.25613575039998343, -0.052264814062610916, 0.004327917066605195, 0.03852545324227084, -0.0661698259089304, -0.05878613630066747, -0.09157704249145868, -0.2517600519501645, 0.362655422285847, 0.007694328284781912, 0.2560161403177873, 0.11075461591067522, 0.10616462839686353, -0.040698451658143946, 0.0902586348719247, -0.13500963961300644, -0.07884274310914485, 0.04679020895096271, 0.18353351853463962, 0.00479683055765117, -0.05160800092246221, -0.4371146427710419, -0.2459664759023682, 0.16711732436416912, 0.17016959119507152, 0.17342307584603195, -0.09120953495047339, -0.4170679227327523, 0.08295682477562324, -0.11025997299862944, -0.16688981876992012, -0.16793841901032822, -0.08541785828445268, -0.2925359519279521, -0.2583491104938414, 0.16463829269227775, -0.02616571626909401, 0.059626181670667036, 0.03212319776091887, 0.0397819085046649, -0.23510229644244132, -0.09410019518564576, 0.2855402348137906, 0.03067724975635824, 0.22798308910316098, -0.25474047838993696, -0.17260386586270254, 0.4425501428220583, -0.14861216428487198, -0.21335390550286873, 0.0460679122125325, -0.1250144924927989, -0.3093125139079664, 0.1263186297095988, 0.061082451968737274, 0.11771151326272798, -0.11412798908903547, 0.3454948087885935, -0.0036561391518815703, 0.11851970900012099, 0.06369967888230862, -0.007036357773872821, 0.25703535115589266, 0.17820978865189396, 0.08181529168201529, 0.11757838134856327, 0.09341556805631389, -0.13466654393983923, -0.5473986230790615, -0.054071499925592674, -0.07265854383940282, 0.09268848338346604, -0.1274287382579844, 0.006051350384950638, 0.3984987163592292, 0.08412363297880486, 0.1993576515789913, 0.08326823203622, 0.14898409747073185, 0.06757368333637714, 0.2032840742689112, 0.023963039882643068, 0.33263167350188544, 0.08524790326254847, 0.0881948763170563, -0.3800642602753056, -0.19578507004062767, 0.17407037459475838] |
709.2841 | Trapping and cooling of rf-dressed atoms in a quadrupole magnetic field | We observe the spontaneous evaporation of atoms confined in a bubble-like
rf-dressed trap (Zobay and Garraway, 2001). The atoms are confined in a
quadrupole magnetic trap and are dressed by a linearly polarized rf field. The
evaporation is related to the presence of holes in the trap, at the positions
where the rf coupling vanishes, due to its vectorial character. The final
temperature results from a competition between residual heating and evaporation
efficiency, which is controlled via the height of the holes with respect to the
bottom of the trap. The experimental data are modeled by a Monte-Carlo
simulation predicting a small increase in phase space density limited by the
heating rate. This increase was within the phase space density determination
uncertainty of the experiment.
| physics.atom-ph | we observe the spontaneous evaporation of atoms confined in a bubblelike rfdressed trap zobay and garraway 2001 the atoms are confined in a quadrupole magnetic trap and are dressed by a linearly polarized rf field the evaporation is related to the presence of holes in the trap at the positions where the rf coupling vanishes due to its vectorial character the final temperature results from a competition between residual heating and evaporation efficiency which is controlled via the height of the holes with respect to the bottom of the trap the experimental data are modeled by a montecarlo simulation predicting a small increase in phase space density limited by the heating rate this increase was within the phase space density determination uncertainty of the experiment | [['we', 'observe', 'the', 'spontaneous', 'evaporation', 'of', 'atoms', 'confined', 'in', 'a', 'bubblelike', 'rfdressed', 'trap', 'zobay', 'and', 'garraway', '2001', 'the', 'atoms', 'are', 'confined', 'in', 'a', 'quadrupole', 'magnetic', 'trap', 'and', 'are', 'dressed', 'by', 'a', 'linearly', 'polarized', 'rf', 'field', 'the', 'evaporation', 'is', 'related', 'to', 'the', 'presence', 'of', 'holes', 'in', 'the', 'trap', 'at', 'the', 'positions', 'where', 'the', 'rf', 'coupling', 'vanishes', 'due', 'to', 'its', 'vectorial', 'character', 'the', 'final', 'temperature', 'results', 'from', 'a', 'competition', 'between', 'residual', 'heating', 'and', 'evaporation', 'efficiency', 'which', 'is', 'controlled', 'via', 'the', 'height', 'of', 'the', 'holes', 'with', 'respect', 'to', 'the', 'bottom', 'of', 'the', 'trap', 'the', 'experimental', 'data', 'are', 'modeled', 'by', 'a', 'montecarlo', 'simulation', 'predicting', 'a', 'small', 'increase', 'in', 'phase', 'space', 'density', 'limited', 'by', 'the', 'heating', 'rate', 'this', 'increase', 'was', 'within', 'the', 'phase', 'space', 'density', 'determination', 'uncertainty', 'of', 'the', 'experiment']] | [-0.11040894957935257, 0.24373704721144732, -0.006351951528490792, 0.017781697901814515, 0.028308010359685266, -0.09413011078797881, 0.060481268107034865, 0.36465899817525377, -0.2376837331103161, -0.32389588224665905, 0.0560882746527392, -0.2872691211485935, -0.03469506557279777, 0.1502021925163365, 0.0006563458047176321, 0.006069322688891853, 0.017707423030984618, 0.017861306194155928, -0.05745788847073732, -0.2016519146197806, 0.29028602892855904, 0.12622803683212447, 0.29245724149551544, 0.08951279196527696, 0.05999102763129368, -0.023122138539028746, 0.03063575780740188, 0.012033962878875525, -0.11325398323336436, 0.10107780762782861, 0.1773945871710537, 0.007676385035137495, 0.23422175562459854, -0.43473859483586447, -0.20477547231055196, 0.07334878505958665, 0.10957377183724255, 0.1535582550709331, -0.08527868504883841, -0.2859563485929562, -0.006085740469936882, -0.15412349039463386, -0.13440727873990732, -0.02993719863344825, 0.02753691629961043, 0.06116156600746176, -0.2825970674204009, 0.10537824150730646, 0.04445695116244737, 0.04050207625503742, -0.10038719228900699, -0.026796660085833975, -0.05372089886992809, 0.08044277223938655, 0.03368782132278166, 0.07413980240615332, 0.21549846747920157, -0.11315362194868465, -0.05625579606426219, 0.3543038875852231, -0.09992036134785702, -0.13636058040954654, 0.1662721950523255, -0.19998983126659428, -0.01839684905679596, 0.21281685386671714, 0.17404271459775872, 0.09653865343200103, -0.09430989121357279, 0.07333989303057728, 0.0019611174432230334, 0.1631472077588701, 0.10236308018999896, -0.013663536968505792, 0.27119879939052605, 0.17213276223910431, 0.005580604797409427, 0.19595015178351932, -0.13698074981127115, -0.10345570257894936, -0.27888165886003163, -0.12222829958867101, -0.2122037341600404, -0.006512439277890559, -0.04526653291712489, -0.13057268594556878, 0.3750360787155167, 0.10544202679809514, 0.22933938113161392, -0.04552715817455112, 0.3170533405587893, 0.12141083678861539, 0.06790530559561786, 0.03809081702192704, 0.29437211478568404, 0.18798687683621182, 0.10556845354937738, -0.3232987141180333, 0.03870868607754669, 0.017814327940164555] |
709.2842 | Trapping Horizons as inner boundary conditions for black hole spacetimes | We present a set of inner boundary conditions for the numerical construction
of dynamical black hole space-times, when employing a 3+1 constrained evolution
scheme and an excision technique. These inner boundary conditions are
heuristically motivated by the dynamical trapping horizon framework and are
enforced in an elliptic subsystem of the full Einstein equation. In the
stationary limit they reduce to existing isolated horizon boundary conditions.
A characteristic analysis completes the discussion of inner boundary conditions
for the radiative modes.
| gr-qc | we present a set of inner boundary conditions for the numerical construction of dynamical black hole spacetimes when employing a 31 constrained evolution scheme and an excision technique these inner boundary conditions are heuristically motivated by the dynamical trapping horizon framework and are enforced in an elliptic subsystem of the full einstein equation in the stationary limit they reduce to existing isolated horizon boundary conditions a characteristic analysis completes the discussion of inner boundary conditions for the radiative modes | [['we', 'present', 'a', 'set', 'of', 'inner', 'boundary', 'conditions', 'for', 'the', 'numerical', 'construction', 'of', 'dynamical', 'black', 'hole', 'spacetimes', 'when', 'employing', 'a', '31', 'constrained', 'evolution', 'scheme', 'and', 'an', 'excision', 'technique', 'these', 'inner', 'boundary', 'conditions', 'are', 'heuristically', 'motivated', 'by', 'the', 'dynamical', 'trapping', 'horizon', 'framework', 'and', 'are', 'enforced', 'in', 'an', 'elliptic', 'subsystem', 'of', 'the', 'full', 'einstein', 'equation', 'in', 'the', 'stationary', 'limit', 'they', 'reduce', 'to', 'existing', 'isolated', 'horizon', 'boundary', 'conditions', 'a', 'characteristic', 'analysis', 'completes', 'the', 'discussion', 'of', 'inner', 'boundary', 'conditions', 'for', 'the', 'radiative', 'modes']] | [-0.1959232169120938, 0.06979304760483777, -0.11875438025291962, 0.08150413203277165, -0.07609260467152242, -0.125536509149979, -0.019117415272571808, 0.3035060524987646, -0.21869178493566152, -0.27173107353192344, 0.2069552391030696, -0.2156002768845875, -0.07397535339563707, 0.205030124669871, -0.07357739196807335, 0.13097935207659686, 0.08694662052336373, 0.006522554320672267, -0.14250128032032494, -0.21210966909988016, 0.41005309209038937, 0.06250582196855847, 0.21704273957381898, 0.027489400763489023, 0.06542581973797819, -0.00495718630278318, -0.01132319929944705, 0.04585205785977312, -0.1978543763552922, 0.04574606840828834, 0.2193988075927843, 0.09488646605912643, 0.23978679801655722, -0.4582784565849395, -0.23869440043485088, 0.05108928676883254, 0.13083100439155404, 0.1334362097225989, -0.030090602550985692, -0.28825973827816265, 0.0764739903020142, -0.16320043838217477, -0.22738134714810154, -0.004436392793903434, -0.002595291319715826, -0.06535812743196759, -0.29023340642688017, 0.09743651873844711, 0.08280323177820685, 0.03554597834148739, -0.1707374727636387, -0.02593685082996948, -0.03980161642502475, 0.09837801314638397, 0.03730203254336986, -0.05392562027407598, 0.16090876027305104, -0.07829071081809322, -0.06297555501437216, 0.2980789876059641, -0.031324868788942695, -0.23528884997284866, 0.18876906425420997, -0.15248180960623336, -0.08381857594498728, 0.16169714251580306, 0.1379946141114718, 0.19839071158814844, -0.1883997835222222, 0.12845473590784387, -0.019641297274045174, 0.10391975208362446, 0.1066087413862159, 0.017551622500855336, 0.25613683334528176, 0.1259149189278059, 0.0953430541661344, 0.1444951466555837, -0.025978552472270742, -0.1269993137330984, -0.39519097028842454, -0.1236034776706726, -0.1151166546005237, 0.04468780835719095, -0.1279752760402758, -0.18364951365827759, 0.3094878192812619, 0.09017332738760529, 0.16613950930488638, 0.02415948192577196, 0.2591828697514308, 0.1244260021590383, 0.009581404089739051, 0.14088496324146474, 0.24316934189653094, 0.13744033131854538, 0.093914093980212, -0.29922372931496627, -0.05987352586669635, 0.1336971344131552] |
709.2843 | Thermal denaturation of fluctuating finite DNA chains: the role of
bending rigidity in bubble nucleation | Statistical DNA models available in the literature are often effective models
where the base-pair state only (unbroken or broken) is considered. Because of a
decrease by a factor of 30 of the effective bending rigidity of a sequence of
broken bonds, or bubble, compared to the double stranded state, the inclusion
of the molecular conformational degrees of freedom in a more general mesoscopic
model is needed. In this paper we do so by presenting a 1D Ising model, which
describes the internal base pair states, coupled to a discrete worm like chain
model describing the chain configurations [J. Palmeri, M. Manghi, and N.
Destainville, Phys. Rev. Lett. 99, 088103 (2007)]. This coupled model is
exactly solved using a transfer matrix technique that presents an analogy with
the path integral treatment of a quantum two-state diatomic molecule. When the
chain fluctuations are integrated out, the denaturation transition temperature
and width emerge naturally as an explicit function of the model parameters of a
well defined Hamiltonian, revealing that the transition is driven by the
difference in bending (entropy dominated) free energy between bubble and
double-stranded segments. The calculated melting curve (fraction of open base
pairs) is in good agreement with the experimental melting profile of
polydA-polydT. The predicted variation of the mean-square-radius as a function
of temperature leads to a coherent novel explanation for the experimentally
observed thermal viscosity transition. Finally, the influence of the DNA strand
length is studied in detail, underlining the importance of finite size effects,
even for DNA made of several thousand base pairs.
| cond-mat.soft cond-mat.stat-mech | statistical dna models available in the literature are often effective models where the basepair state only unbroken or broken is considered because of a decrease by a factor of 30 of the effective bending rigidity of a sequence of broken bonds or bubble compared to the double stranded state the inclusion of the molecular conformational degrees of freedom in a more general mesoscopic model is needed in this paper we do so by presenting a 1d ising model which describes the internal base pair states coupled to a discrete worm like chain model describing the chain configurations j palmeri m manghi and n destainville phys rev lett 99 088103 2007 this coupled model is exactly solved using a transfer matrix technique that presents an analogy with the path integral treatment of a quantum twostate diatomic molecule when the chain fluctuations are integrated out the denaturation transition temperature and width emerge naturally as an explicit function of the model parameters of a well defined hamiltonian revealing that the transition is driven by the difference in bending entropy dominated free energy between bubble and doublestranded segments the calculated melting curve fraction of open base pairs is in good agreement with the experimental melting profile of polydapolydt the predicted variation of the meansquareradius as a function of temperature leads to a coherent novel explanation for the experimentally observed thermal viscosity transition finally the influence of the dna strand length is studied in detail underlining the importance of finite size effects even for dna made of several thousand base pairs | [['statistical', 'dna', 'models', 'available', 'in', 'the', 'literature', 'are', 'often', 'effective', 'models', 'where', 'the', 'basepair', 'state', 'only', 'unbroken', 'or', 'broken', 'is', 'considered', 'because', 'of', 'a', 'decrease', 'by', 'a', 'factor', 'of', '30', 'of', 'the', 'effective', 'bending', 'rigidity', 'of', 'a', 'sequence', 'of', 'broken', 'bonds', 'or', 'bubble', 'compared', 'to', 'the', 'double', 'stranded', 'state', 'the', 'inclusion', 'of', 'the', 'molecular', 'conformational', 'degrees', 'of', 'freedom', 'in', 'a', 'more', 'general', 'mesoscopic', 'model', 'is', 'needed', 'in', 'this', 'paper', 'we', 'do', 'so', 'by', 'presenting', 'a', '1d', 'ising', 'model', 'which', 'describes', 'the', 'internal', 'base', 'pair', 'states', 'coupled', 'to', 'a', 'discrete', 'worm', 'like', 'chain', 'model', 'describing', 'the', 'chain', 'configurations', 'j', 'palmeri', 'm', 'manghi', 'and', 'n', 'destainville', 'phys', 'rev', 'lett', '99', '088103', '2007', 'this', 'coupled', 'model', 'is', 'exactly', 'solved', 'using', 'a', 'transfer', 'matrix', 'technique', 'that', 'presents', 'an', 'analogy', 'with', 'the', 'path', 'integral', 'treatment', 'of', 'a', 'quantum', 'twostate', 'diatomic', 'molecule', 'when', 'the', 'chain', 'fluctuations', 'are', 'integrated', 'out', 'the', 'denaturation', 'transition', 'temperature', 'and', 'width', 'emerge', 'naturally', 'as', 'an', 'explicit', 'function', 'of', 'the', 'model', 'parameters', 'of', 'a', 'well', 'defined', 'hamiltonian', 'revealing', 'that', 'the', 'transition', 'is', 'driven', 'by', 'the', 'difference', 'in', 'bending', 'entropy', 'dominated', 'free', 'energy', 'between', 'bubble', 'and', 'doublestranded', 'segments', 'the', 'calculated', 'melting', 'curve', 'fraction', 'of', 'open', 'base', 'pairs', 'is', 'in', 'good', 'agreement', 'with', 'the', 'experimental', 'melting', 'profile', 'of', 'polydapolydt', 'the', 'predicted', 'variation', 'of', 'the', 'meansquareradius', 'as', 'a', 'function', 'of', 'temperature', 'leads', 'to', 'a', 'coherent', 'novel', 'explanation', 'for', 'the', 'experimentally', 'observed', 'thermal', 'viscosity', 'transition', 'finally', 'the', 'influence', 'of', 'the', 'dna', 'strand', 'length', 'is', 'studied', 'in', 'detail', 'underlining', 'the', 'importance', 'of', 'finite', 'size', 'effects', 'even', 'for', 'dna', 'made', 'of', 'several', 'thousand', 'base', 'pairs']] | [-0.1496794620812064, 0.18222004794582128, -0.04325753171638563, 0.04287170838540801, -0.016396613206758393, -0.1553059280959992, 0.07199951480133605, 0.3492351483606814, -0.25536716425531053, -0.2923153946121172, 0.014946482645707044, -0.2771868344825348, -0.1168171633337441, 0.13469659163127104, 0.00327420282415041, 0.03014969453444763, 0.055760321750463256, 0.02954698383155477, -0.030721139649064904, -0.1780414517270401, 0.23234057009144957, 0.0837964957527721, 0.2828817159817673, 0.05636776231575801, 0.08764617730254733, 0.008111188119789768, 0.03463544527538062, 0.031412563351804285, -0.1736416745490113, 0.10158243714845519, 0.20893642719960281, 0.029226307925863528, 0.21087171586494394, -0.42429379583886406, -0.24469830838992723, 0.09419357573785855, 0.13840187492784511, 0.14249522012418253, -0.002827865353237295, -0.23597123401008516, 0.02565058514266825, -0.19153084783534352, -0.14617781995751666, 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0.022936847515121893, 0.23299815739490326, 0.0833870061699807, 0.04367384033673626, 0.037555656361477965, 0.19527248342294157, 0.15190610521991818, 0.04706168535860314, -0.2544130148232262, 0.05948638050142294, 0.04309014360031744] |
709.2844 | Two loop finiteness of Higgs mass and potential in the gauge-Higgs
unification | The zero mode of an extra-dimensional component of gauge potentials serves as
a 4D Higgs field in the gauge-Higgs unification. We examine QED on $M^4 \times
S^1$ and determine the mass and potential of a 4D Higgs field (the $A_5$
component) at the two loop level with gauge invariant reguralization. It is
seen that the mass is free from divergences and independent of the
renormalization scheme.
| hep-ph | the zero mode of an extradimensional component of gauge potentials serves as a 4d higgs field in the gaugehiggs unification we examine qed on m4 times s1 and determine the mass and potential of a 4d higgs field the a_5 component at the two loop level with gauge invariant reguralization it is seen that the mass is free from divergences and independent of the renormalization scheme | [['the', 'zero', 'mode', 'of', 'an', 'extradimensional', 'component', 'of', 'gauge', 'potentials', 'serves', 'as', 'a', '4d', 'higgs', 'field', 'in', 'the', 'gaugehiggs', 'unification', 'we', 'examine', 'qed', 'on', 'm4', 'times', 's1', 'and', 'determine', 'the', 'mass', 'and', 'potential', 'of', 'a', '4d', 'higgs', 'field', 'the', 'a_5', 'component', 'at', 'the', 'two', 'loop', 'level', 'with', 'gauge', 'invariant', 'reguralization', 'it', 'is', 'seen', 'that', 'the', 'mass', 'is', 'free', 'from', 'divergences', 'and', 'independent', 'of', 'the', 'renormalization', 'scheme']] | [-0.15571975498818436, 0.22930946532265248, -0.06663124018277113, 0.11458968848634798, -0.03285335600376129, -0.16132937055081129, -0.031843021512031555, 0.347133906930685, -0.15489759541188294, -0.2590765291001075, 0.055240495579961975, -0.23439571072275822, -0.07949090915230604, 0.09947848947575459, -0.0048714180620243915, -0.004287390525524432, -0.03962016191620093, 0.10022931969366394, -0.06384247118392243, -0.2471111779889235, 0.3689610727704488, 0.0065017723209726125, 0.23600001031389603, 0.07627750372227568, 0.13238752098180928, 0.002061697095632553, 0.004820734377090748, -0.06829975950889862, -0.08154448188467471, 0.0743582410684142, 0.14204315282404423, 0.0439226849764684, 0.1453339695930481, -0.3185700195769851, -0.18132850289201508, 0.0773393718382487, 0.17866181415290786, 0.10495103699728274, -0.033582106843375814, -0.2748244444768016, 0.0502726879185782, -0.19343657235686595, -0.1671572072323985, -0.023000698035153058, -0.040335029689595105, -0.16820202830892342, -0.30773711309123497, 0.07143558997732516, -0.05627812920854642, 0.08172842593720327, -0.032167689052696985, -0.10052377997109523, -0.0812708757029703, 0.07513719163835049, 0.2145065654284106, 0.11185086129743678, 0.17138662797470505, -0.1915484374603973, -0.13829089504881548, 0.4467781927006749, -0.15579867383035328, -0.1745766542207163, 0.16192968307206265, -0.11413547494269621, -0.13973188432506645, 0.10079745929688215, 0.12717779721491612, 0.08564908932894469, -0.10429868473169895, 0.2375160488488081, -0.01665285943219295, 0.17663735621250592, 0.01841555885397471, 0.019059395281454693, 0.2494901775310819, 0.10739790059697743, 0.07659272100203313, 0.06597111526017006, -0.07442682712482145, -0.09581040257158188, -0.4485268577754211, -0.16754780175307624, -0.10487847661447282, 0.09883181858951083, -0.1452976450245702, -0.1710035764827178, 0.4178463882392232, 0.10533643361682501, 0.23172808650594492, 0.015008552057238726, 0.24809392885519907, 0.13530021146333848, 0.14651721791865735, 0.03161577665461944, 0.27790584692444936, 0.18977871351660444, 0.03587198099121451, -0.2798771446176733, -0.16539298007981135, 0.1490834401992078] |
709.2845 | Manifestation of Defects in Raman Effect of Light Spectra of Organic
Molecular Crystals (COMPUTER Modeling) | Calculations of frequency spectra for organic molecular crystals taking
various defects in their structure into account are carried out. It is shown
how the presence of the vacancies, orientation disorder, and surface presence
affects spectra. It was found, that each defect has the characteristic set of
lines in the spectra.
| cond-mat.soft cond-mat.dis-nn cond-mat.other | calculations of frequency spectra for organic molecular crystals taking various defects in their structure into account are carried out it is shown how the presence of the vacancies orientation disorder and surface presence affects spectra it was found that each defect has the characteristic set of lines in the spectra | [['calculations', 'of', 'frequency', 'spectra', 'for', 'organic', 'molecular', 'crystals', 'taking', 'various', 'defects', 'in', 'their', 'structure', 'into', 'account', 'are', 'carried', 'out', 'it', 'is', 'shown', 'how', 'the', 'presence', 'of', 'the', 'vacancies', 'orientation', 'disorder', 'and', 'surface', 'presence', 'affects', 'spectra', 'it', 'was', 'found', 'that', 'each', 'defect', 'has', 'the', 'characteristic', 'set', 'of', 'lines', 'in', 'the', 'spectra']] | [-0.13758214507019148, 0.12242048992775381, -0.07695963954553008, 0.027902475141454487, 0.0344082660600543, -0.09339389787055552, 0.015577146392315626, 0.45961779803037645, -0.22507460206747054, -0.2774221560359001, 0.014349022177048027, -0.31424314007163046, -0.1320626111701131, 0.15276537617202848, 0.06165512219071388, -0.043855406902730466, 0.01774416694417596, -0.044701377013698224, -0.020177908767946066, -0.24625671617221087, 0.2841044382378459, 0.09611402874812484, 0.33323547840118406, 0.09932605082169176, -0.002049143807962537, -0.007483373265713454, -0.002439348422922194, 0.07285956287756562, -0.10677497137876343, 0.062370581272989514, 0.22870674815028905, 0.0029009731858968737, 0.18178696752060206, -0.44339065622538326, -0.2701886476017535, 0.06071127025410533, 0.15576805357588455, 0.13355095326900482, -0.036560490261763334, -0.25920821607112887, 0.11838233900256455, -0.07761600848287344, -0.12450816822238267, -0.08177443380933255, 0.021700262427330017, 0.024953560950234533, -0.16215754771255889, 0.03155754566192627, 0.03129038244485855, 0.1002334715273173, -0.144911802476272, -0.13139819531701505, -0.16150171687593684, 0.15784368833526968, 0.05146851526107639, -0.06201765285804868, 0.21759968066122382, -0.0895889082737267, -0.050179637763649226, 0.4454141660034657, -0.02657916549127549, -0.14731215958483518, 0.156439879857935, -0.19126938438042998, -0.13992752044461668, 0.2430554930958897, 0.08962784046307207, 0.09834345579147338, -0.11985126745770686, 0.10055415095645003, -0.018835146240890027, 0.1953140278160572, 0.06736064006574452, 0.07991350293625146, 0.2804679120704532, 0.12014353719074279, -0.02776440143585205, 0.14931275547132827, -0.1818477393873036, -0.04415002914145589, -0.21267023719847203, -0.15819736957550048, -0.17718776023946703, 0.03759841505438089, -0.038728330465673935, -0.15810838077391964, 0.4090480377711356, 0.09656527578830719, 0.17449815317988396, -0.11039451999589801, 0.1913282383978367, 0.11953948417474748, 0.10670304180588573, -0.01938097015954554, 0.21927754780743272, 0.18238259583711625, 0.0729656258225441, -0.2830528996977955, 0.10178976713679731, -0.005732494490221143] |
709.2846 | Calculation of Spectra of the Lattice and Surface Vibrations of Organic
Nano-Crystals | Calculations of frequencies of the lattice and surface oscillations of
organic nano-crystals are carried out. As the sample the para-dichlorobenzol
has been chosen. Change of spectra of oscillations from the sizes of
nano-particles is found. It is shown that with the reduction of the sizes of
nano-particles a spectrum of the surface oscillations prevailing. Calculations
have shown that for the correct interpretation of the observational spectra it
is necessary to consider orientation disorder of the surface molecules and
presence of vacancies in nano-particle volume.
| cond-mat.soft cond-mat.dis-nn cond-mat.other | calculations of frequencies of the lattice and surface oscillations of organic nanocrystals are carried out as the sample the paradichlorobenzol has been chosen change of spectra of oscillations from the sizes of nanoparticles is found it is shown that with the reduction of the sizes of nanoparticles a spectrum of the surface oscillations prevailing calculations have shown that for the correct interpretation of the observational spectra it is necessary to consider orientation disorder of the surface molecules and presence of vacancies in nanoparticle volume | [['calculations', 'of', 'frequencies', 'of', 'the', 'lattice', 'and', 'surface', 'oscillations', 'of', 'organic', 'nanocrystals', 'are', 'carried', 'out', 'as', 'the', 'sample', 'the', 'paradichlorobenzol', 'has', 'been', 'chosen', 'change', 'of', 'spectra', 'of', 'oscillations', 'from', 'the', 'sizes', 'of', 'nanoparticles', 'is', 'found', 'it', 'is', 'shown', 'that', 'with', 'the', 'reduction', 'of', 'the', 'sizes', 'of', 'nanoparticles', 'a', 'spectrum', 'of', 'the', 'surface', 'oscillations', 'prevailing', 'calculations', 'have', 'shown', 'that', 'for', 'the', 'correct', 'interpretation', 'of', 'the', 'observational', 'spectra', 'it', 'is', 'necessary', 'to', 'consider', 'orientation', 'disorder', 'of', 'the', 'surface', 'molecules', 'and', 'presence', 'of', 'vacancies', 'in', 'nanoparticle', 'volume']] | [-0.12130838812957237, 0.15711178601416478, -0.09262317199125347, 0.019905539351537913, 0.021940657330385173, -0.07082991857440715, 0.04051683289531888, 0.38713896786233026, -0.18911882690771156, -0.3212282876427992, 0.062677750401816, -0.30324204508439606, -0.11487908867827382, 0.17678605625405908, -0.0025067493566368, 0.025208719961165665, 0.049897124306354894, -0.008590346493993897, -0.04025040933839887, -0.21832222745372318, 0.2734952036470893, 0.10402561885203762, 0.30288234369405714, 0.08297512018267648, 0.03377960705344217, -0.057013446308044065, 0.013380367825009737, 0.0639955047966845, -0.12139699897162212, 0.10053025684263332, 0.21227857334741268, 0.01495649722539427, 0.19660605831318592, -0.43946889566819686, -0.26309184072516767, 0.056002176636044516, 0.1375244250170415, 0.14934691389551363, -0.0609287395428148, -0.22506994011262096, 0.09165758642659758, -0.07771083715944047, -0.15132938139701643, -0.05196507923664099, 0.0636869299966079, 0.0538034335631563, -0.22783760982285062, 0.07772388657083712, 0.05018102038786354, 0.08525562720041559, -0.10265597495171859, -0.14201368516625232, -0.11092806366238608, 0.12814236324033643, 0.09701674776320088, -0.04065706438934767, 0.18636958285358296, -0.07732057812657342, -0.06503141724156687, 0.42828016954821996, -0.04022415483886578, -0.12226694500275764, 0.17427032572464143, -0.2120974285932011, -0.07193809908152704, 0.21600295046164866, 0.12658322534063854, 0.1202665562124317, -0.133589295653559, 0.08120767206531466, -0.03640804004417845, 0.21250291463795556, 0.06908510334183832, 0.053377578809229005, 0.2368720390396305, 0.18535550274179283, 0.02274522236099534, 0.13623938549531578, -0.16144185384219312, -0.0181010176079819, -0.23109682328460446, -0.15728765213301024, -0.24049507625715202, 0.03777935516358499, -0.05042569693255081, -0.22943827096044636, 0.3838846735229873, 0.1041938456235431, 0.1795700384775199, -0.026768212066402276, 0.2001748545072883, 0.08564881914076451, 0.12116328779473362, -0.028169988968735, 0.2677437202718827, 0.19461657924869333, 0.056495634502316094, -0.3056009421489729, 0.07101770870791502, -0.03182555100016565] |
709.2847 | Temperature Changes of Spectra of the Lattice and Surface Oscillations
of Organic Molecular Nano-Crystals (COMPUTER Modeling) | Dependence of frequency spectra of the lattice oscillations of organic
nano-crystals on temperature is studied at presence of vacancies in structure.
In a frequency spectrum a number of additional lines monotonously changing with
temperature is observed. Also, the spectrum of the surface oscillations is
calculated at temperature change. At the same time, the low-frequency line has
non-linear behavior with temperature change.
| cond-mat.soft cond-mat.dis-nn cond-mat.other | dependence of frequency spectra of the lattice oscillations of organic nanocrystals on temperature is studied at presence of vacancies in structure in a frequency spectrum a number of additional lines monotonously changing with temperature is observed also the spectrum of the surface oscillations is calculated at temperature change at the same time the lowfrequency line has nonlinear behavior with temperature change | [['dependence', 'of', 'frequency', 'spectra', 'of', 'the', 'lattice', 'oscillations', 'of', 'organic', 'nanocrystals', 'on', 'temperature', 'is', 'studied', 'at', 'presence', 'of', 'vacancies', 'in', 'structure', 'in', 'a', 'frequency', 'spectrum', 'a', 'number', 'of', 'additional', 'lines', 'monotonously', 'changing', 'with', 'temperature', 'is', 'observed', 'also', 'the', 'spectrum', 'of', 'the', 'surface', 'oscillations', 'is', 'calculated', 'at', 'temperature', 'change', 'at', 'the', 'same', 'time', 'the', 'lowfrequency', 'line', 'has', 'nonlinear', 'behavior', 'with', 'temperature', 'change']] | [-0.174935490427325, 0.21753322025455657, -0.04008237690069392, -0.034346943994083244, -0.012627570996763276, -0.09825038668684295, 0.07042024072190961, 0.40312457982389654, -0.23310395278280877, -0.3120523571174164, 0.04758647271645729, -0.32486941250132734, -0.04022482034490734, 0.1791499445489684, 0.052827123460955305, -0.02995650401552681, -0.04438842948312398, 0.05548682968422282, -0.08371190551943222, -0.14912746663083185, 0.2752472964405525, 0.1281370444177482, 0.3289503442947982, 0.09435973359180279, 0.012628623085920929, -0.04077516635879874, 0.06242728815795701, 0.053827219596896014, -0.09323176906155957, -0.016020356494261593, 0.21763672998755193, -0.04438774468621514, 0.18440652800891855, -0.363358115349881, -0.2853263521902874, 0.07555319016158092, 0.12261315712086918, 0.11105576264442968, -0.04342341418454393, -0.1797590666740644, 0.029004050357664218, -0.05189061705328402, -0.19862029446311844, 0.011091367051493927, 0.05388954171880347, 0.01823671401447815, -0.22452358365322264, 0.14634919563092705, 0.0048396662946362965, 0.14992140736011025, -0.09253788769977991, -0.12195118567066603, -0.11281777709936265, 0.07572742804243672, 0.07232531157444369, -0.01891801209326406, 0.206398419196122, -0.06907302293865407, -0.047943527764472804, 0.351245841744249, -0.15992484351650613, -0.05010061231670809, 0.1494301514486309, -0.2582213444154343, -0.10063513997392576, 0.25187959923164643, 0.15393371427370633, 0.06942293186839975, -0.07966461006387854, 0.11176767212063929, 0.012721197733075404, 0.2387110816398788, 0.11067368651999802, 0.09373290990631966, 0.2607164570420492, 0.19485961578664232, 0.021282327590418645, 0.1248526096880268, -0.13107375842977131, -0.009087118671321478, -0.23389806757207776, -0.08580810875921953, -0.22585426186990054, 0.026145241540078013, -0.06923747570330246, -0.2130430746731944, 0.476577780896523, 0.07323145873264456, 0.2421500965586451, -0.01743148214214283, 0.25606793769803204, 0.18835526208591755, 0.0790008717735649, 0.024175839445202567, 0.21892528260340455, 0.14711896449205328, 0.181900367285812, -0.35706907384799885, 0.07356075934882535, -0.026555453381333194] |
709.2848 | The interaction of planetary nebulae and their AGB progenitors with the
interstellar medium | Interaction with the Interstellar Medium (ISM) cannot be ignored in
understanding planetary nebula (PN) evolution and shaping. In an effort to
understand the range of shapes observed in the outer envelopes of PNe, we have
run a comprehensive set of three-dimensional hydrodynamic simulations, from the
beginning of the asymptotic giant branch (AGB) superwind phase until the end of
the post--AGB/PN phase. A 'triple-wind' model is used, including a slow AGB
wind, fast post--AGB wind and third wind reflecting the linear movement through
the ISM. A wide range of stellar velocities, mass-loss rates and ISM densities
have been considered. We find ISM interaction strongly affects outer PN
structures, with the dominant shaping occuring during the AGB phase. The
simulations predict four stages of PN--ISM interaction whereby the PN is
initially unaffected (1), then limb-brightened in the direction of motion (2),
then distorted with the star moving away from the geometric centre (3) and
finally so distorted that the object is no longer recognisable as a PN and may
not be classed as such (4). Parsec-size shells around PN are predicted to be
common. The structure and brightness of ancient PNe is largely determined by
the ISM interaction, caused by rebrightening during the second stage; this
effect may address the current discrepancies in Galactic PN abundance. The
majority of PNe will have tail structures. Evidence for strong interaction is
found for all known planetary nebulae in globular clusters.
| astro-ph | interaction with the interstellar medium ism cannot be ignored in understanding planetary nebula pn evolution and shaping in an effort to understand the range of shapes observed in the outer envelopes of pne we have run a comprehensive set of threedimensional hydrodynamic simulations from the beginning of the asymptotic giant branch agb superwind phase until the end of the postagbpn phase a triplewind model is used including a slow agb wind fast postagb wind and third wind reflecting the linear movement through the ism a wide range of stellar velocities massloss rates and ism densities have been considered we find ism interaction strongly affects outer pn structures with the dominant shaping occuring during the agb phase the simulations predict four stages of pnism interaction whereby the pn is initially unaffected 1 then limbbrightened in the direction of motion 2 then distorted with the star moving away from the geometric centre 3 and finally so distorted that the object is no longer recognisable as a pn and may not be classed as such 4 parsecsize shells around pn are predicted to be common the structure and brightness of ancient pne is largely determined by the ism interaction caused by rebrightening during the second stage this effect may address the current discrepancies in galactic pn abundance the majority of pne will have tail structures evidence for strong interaction is found for all known planetary nebulae in globular clusters | [['interaction', 'with', 'the', 'interstellar', 'medium', 'ism', 'can', 'not', 'be', 'ignored', 'in', 'understanding', 'planetary', 'nebula', 'pn', 'evolution', 'and', 'shaping', 'in', 'an', 'effort', 'to', 'understand', 'the', 'range', 'of', 'shapes', 'observed', 'in', 'the', 'outer', 'envelopes', 'of', 'pne', 'we', 'have', 'run', 'a', 'comprehensive', 'set', 'of', 'threedimensional', 'hydrodynamic', 'simulations', 'from', 'the', 'beginning', 'of', 'the', 'asymptotic', 'giant', 'branch', 'agb', 'superwind', 'phase', 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709.2849 | Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates | We study the dynamics of Rydberg ions trapped in a linear Paul trap, and
discuss the properties of ionic Rydberg states in the presence of the static
and time-dependent electric fields constituting the trap. The interactions in a
system of many ions are investigated and coupled equations of the internal
electronic states and the external oscillator modes of a linear ion chain are
derived. We show that strong dipole-dipole interactions among the ions can be
achieved by microwave dressing fields. Using low-angular momentum states with
large quantum defect the internal dynamics can be mapped onto an effective spin
model of a pair of dressed Rydberg states that describes the dynamics of
Rydberg excitations in the ion crystal. We demonstrate that excitation transfer
through the ion chain can be achieved on a nanosecond timescale and discuss the
implementation of a fast two-qubit gate in the ion chain.
| quant-ph physics.atom-ph | we study the dynamics of rydberg ions trapped in a linear paul trap and discuss the properties of ionic rydberg states in the presence of the static and timedependent electric fields constituting the trap the interactions in a system of many ions are investigated and coupled equations of the internal electronic states and the external oscillator modes of a linear ion chain are derived we show that strong dipoledipole interactions among the ions can be achieved by microwave dressing fields using lowangular momentum states with large quantum defect the internal dynamics can be mapped onto an effective spin model of a pair of dressed rydberg states that describes the dynamics of rydberg excitations in the ion crystal we demonstrate that excitation transfer through the ion chain can be achieved on a nanosecond timescale and discuss the implementation of a fast twoqubit gate in the ion chain | [['we', 'study', 'the', 'dynamics', 'of', 'rydberg', 'ions', 'trapped', 'in', 'a', 'linear', 'paul', 'trap', 'and', 'discuss', 'the', 'properties', 'of', 'ionic', 'rydberg', 'states', 'in', 'the', 'presence', 'of', 'the', 'static', 'and', 'timedependent', 'electric', 'fields', 'constituting', 'the', 'trap', 'the', 'interactions', 'in', 'a', 'system', 'of', 'many', 'ions', 'are', 'investigated', 'and', 'coupled', 'equations', 'of', 'the', 'internal', 'electronic', 'states', 'and', 'the', 'external', 'oscillator', 'modes', 'of', 'a', 'linear', 'ion', 'chain', 'are', 'derived', 'we', 'show', 'that', 'strong', 'dipoledipole', 'interactions', 'among', 'the', 'ions', 'can', 'be', 'achieved', 'by', 'microwave', 'dressing', 'fields', 'using', 'lowangular', 'momentum', 'states', 'with', 'large', 'quantum', 'defect', 'the', 'internal', 'dynamics', 'can', 'be', 'mapped', 'onto', 'an', 'effective', 'spin', 'model', 'of', 'a', 'pair', 'of', 'dressed', 'rydberg', 'states', 'that', 'describes', 'the', 'dynamics', 'of', 'rydberg', 'excitations', 'in', 'the', 'ion', 'crystal', 'we', 'demonstrate', 'that', 'excitation', 'transfer', 'through', 'the', 'ion', 'chain', 'can', 'be', 'achieved', 'on', 'a', 'nanosecond', 'timescale', 'and', 'discuss', 'the', 'implementation', 'of', 'a', 'fast', 'twoqubit', 'gate', 'in', 'the', 'ion', 'chain']] | [-0.17754394522619318, 0.2700162779210711, -0.002502941887679012, 0.02052481926511973, 0.07715575615652161, -0.16015233308051344, 0.019404751612256244, 0.3969986869519806, -0.24827994593125705, -0.25671670759377413, -0.01309409029606398, -0.2776877835093143, -0.033280122486160024, 0.17719941688159302, 0.08389132132686751, 0.020718892328185985, 0.08434951180043591, -0.005304445099557609, -0.0216527429540093, -0.16205856456319254, 0.2719665770674099, 0.06661572393702904, 0.2607882581651211, 0.09350251732553572, 0.14299617227396533, 0.010529808270404504, 0.11523639304206183, 0.0009637682392478806, -0.07268800940088511, 0.13202119363337908, 0.21564076797979284, 0.018310488370719226, 0.22759081227449726, -0.5263825720303679, -0.1971483159370159, 0.022375723213110477, 0.16496001068209235, 0.25586658960992903, -0.07380009332611162, -0.324599919553642, -0.054366656904402254, -0.18674830716320198, -0.14609514660048872, -0.13435911699453343, -0.0031359479252300033, 0.10719169025175426, -0.25642594658093504, 0.05656785192665778, 0.07023546876774922, 0.07550495034657827, -0.09353229430606207, -0.03511010353494921, -0.04147361051163649, 0.04816170973218467, -0.04049504982317122, -0.0003804577664433889, 0.23470157827888552, -0.12653297540565875, -0.12782656769140635, 0.3567452966554524, -0.12822181302001573, -0.17583161534435332, 0.18745701310499124, -0.16209255978911605, -0.05672985650933896, 0.11851905223958144, 0.1688182499907171, 0.11168947470795414, -0.1506416837761357, 0.10096114429075921, -0.014203344886382557, 0.19501877096467668, 0.07985389212860841, 0.08367955780345691, 0.23726968912484303, 0.1224687664071098, 0.017029362516589337, 0.2075662102708944, -0.08402111506159736, -0.11800247093675377, -0.23767595685865373, -0.16301474044073935, -0.21526553570803203, 0.04892656114590291, -0.028162410849053892, -0.12921211675881114, 0.4510908270803318, 0.09356543397367728, 0.16513046983642224, -0.09901855385237157, 0.24017907470171276, 0.13816664019625072, 0.04551577333947771, 0.0426727165723194, 0.2657086431361378, 0.2006035778712966, 0.04568121122349411, -0.37721956605474427, 0.005146590313453176, 0.029349495573862367] |
709.285 | Magnetism and superconductivity in the $t{-}t^\prime{-}J$ model | We present a systematic study of the phase diagram of the $t{-}t^\prime{-}J$
model by using the Green's function Monte Carlo (GFMC) technique, implemented
within the fixed-node (FN) approximation and a wave function that contains both
antiferromagnetic and d-wave pairing. This enables us to study the interplay
between these two kinds of order and compare the GFMC results with the ones
obtained by the simple variational approach. By using a generalization of the
forward-walking technique, we are able to calculate true FN ground-state
expectation values of the pair-pair correlation functions. In the case of
$t^\prime=0$, there is a large region with a coexistence of superconductivity
and antiferromagnetism, that survives up to $\delta_c \sim 0.10$ for $J/t=0.2$
and $\delta_c \sim 0.13$ for $J/t=0.4$. The presence of a finite $t^\prime/t<0$
induces a strong suppression of both magnetic (with $\delta_c \lesssim 0.03$,
for $J/t=0.2$ and $t^\prime/t=-0.2$) and pairing correlations. In particular,
the latter ones are depressed both in the low-doping regime and around $\delta
\sim 0.25$, where strong size effects are present.
| cond-mat.str-el cond-mat.supr-con | we present a systematic study of the phase diagram of the ttprimej model by using the greens function monte carlo gfmc technique implemented within the fixednode fn approximation and a wave function that contains both antiferromagnetic and dwave pairing this enables us to study the interplay between these two kinds of order and compare the gfmc results with the ones obtained by the simple variational approach by using a generalization of the forwardwalking technique we are able to calculate true fn groundstate expectation values of the pairpair correlation functions in the case of tprime0 there is a large region with a coexistence of superconductivity and antiferromagnetism that survives up to delta_c sim 010 for jt02 and delta_c sim 013 for jt04 the presence of a finite tprimet0 induces a strong suppression of both magnetic with delta_c lesssim 003 for jt02 and tprimet02 and pairing correlations in particular the latter ones are depressed both in the lowdoping regime and around delta sim 025 where strong size effects are present | [['we', 'present', 'a', 'systematic', 'study', 'of', 'the', 'phase', 'diagram', 'of', 'the', 'ttprimej', 'model', 'by', 'using', 'the', 'greens', 'function', 'monte', 'carlo', 'gfmc', 'technique', 'implemented', 'within', 'the', 'fixednode', 'fn', 'approximation', 'and', 'a', 'wave', 'function', 'that', 'contains', 'both', 'antiferromagnetic', 'and', 'dwave', 'pairing', 'this', 'enables', 'us', 'to', 'study', 'the', 'interplay', 'between', 'these', 'two', 'kinds', 'of', 'order', 'and', 'compare', 'the', 'gfmc', 'results', 'with', 'the', 'ones', 'obtained', 'by', 'the', 'simple', 'variational', 'approach', 'by', 'using', 'a', 'generalization', 'of', 'the', 'forwardwalking', 'technique', 'we', 'are', 'able', 'to', 'calculate', 'true', 'fn', 'groundstate', 'expectation', 'values', 'of', 'the', 'pairpair', 'correlation', 'functions', 'in', 'the', 'case', 'of', 'tprime0', 'there', 'is', 'a', 'large', 'region', 'with', 'a', 'coexistence', 'of', 'superconductivity', 'and', 'antiferromagnetism', 'that', 'survives', 'up', 'to', 'delta_c', 'sim', '010', 'for', 'jt02', 'and', 'delta_c', 'sim', '013', 'for', 'jt04', 'the', 'presence', 'of', 'a', 'finite', 'tprimet0', 'induces', 'a', 'strong', 'suppression', 'of', 'both', 'magnetic', 'with', 'delta_c', 'lesssim', '003', 'for', 'jt02', 'and', 'tprimet02', 'and', 'pairing', 'correlations', 'in', 'particular', 'the', 'latter', 'ones', 'are', 'depressed', 'both', 'in', 'the', 'lowdoping', 'regime', 'and', 'around', 'delta', 'sim', '025', 'where', 'strong', 'size', 'effects', 'are', 'present']] | [-0.14494887060306458, 0.16594990416717723, -0.06194218315808855, 0.09681969891470041, 0.0049359845604909506, -0.09646069170814586, 0.09675671954737594, 0.35014190780496374, -0.2209804177418733, -0.30686571453669054, 0.013128213964038245, -0.33254623931387195, -0.10985262302959466, 0.17987719247759731, 0.08034810650589737, -0.004734545995923112, -0.010852294349562093, -0.02734047265850609, -0.14952387713906007, -0.18135400634455662, 0.30759768858436287, -0.001619722214035736, 0.25184202703259745, 0.08613749986271495, 0.04272846833611867, 0.021720915705960544, 0.07035633847146347, 0.030472760283972444, -0.18577839398472093, 0.055180528357347346, 0.21553067834353687, 0.004752402601659483, 0.26082157208266094, -0.36948313524726756, -0.1651078947466908, 0.09233499754521048, 0.14203982728805323, 0.11291758607355704, -0.044026211337967316, -0.2708804636083034, 0.11325452586358285, -0.19070308875315678, -0.13846068358177505, -0.09577846183493641, -0.020885578990098297, 0.016972241495151696, -0.29910410837102563, 0.16003524703523203, 0.01967614108800703, 0.04151638784138153, -0.036793797569037036, -0.12292734806292824, -0.014498625100324196, 0.0697489526695485, 0.046031294023236316, 0.11123741702473092, 0.05756961235990574, -0.12599327644569688, -0.052627226074229094, 0.3608630019882173, -0.07695187453935444, -0.12592687557295243, 0.14740693926093926, -0.18823548615187036, -0.08752271995709064, 0.13641121231528544, 0.1146084425191074, 0.10678708479994249, -0.11722828140366615, 0.08722558318816634, 0.015221683915956843, 0.18245606078702656, -0.003968133713315409, 0.029948962915989554, 0.1730672457423177, 0.1577731718161716, 0.028634326966329022, 0.14489784471326225, -0.15774503901820652, -0.11613455840230266, -0.2965522558885331, -0.12319744873780364, -0.16652669661869265, 0.01191965787935791, -0.12417145873642647, -0.16715753958734064, 0.37240732295195694, 0.18188095049388844, 0.2260491822423957, 0.05795791438601402, 0.24397128233281168, 0.12858382593666823, 0.06900102344648161, 0.06267013259070076, 0.23147022551191704, 0.16958577234026115, 0.04816488130018115, -0.2599586695642355, 0.06998607104424365, 0.04431697260877638] |
709.2851 | Joint power control and user scheduling in multicell wireless networks:
Capacity scaling laws | We address the optimization of the sum rate performance in multicell
interference-limited singlehop networks where access points are allowed to
cooperate in terms of joint resource allocation. The resource allocation
policies considered here combine power control and user scheduling. Although
very promising from a conceptual point of view, the optimization of the sum of
per-link rates hinges, in principle, on tough issues such as computational
complexity and the requirement for heavy receiver-to-transmitter channel
information feedback across all network cells. In this paper, we show that, in
fact, distributed algorithms are actually obtainable in the asymptotic regime
where the numbers of users per cell is allowed to grow large. Additionally,
using extreme value theory, we provide scaling laws for upper and lower bounds
for the network capacity (sum of single user rates over all cells),
corresponding to zero-interference and worst-case interference scenarios. We
show that the scaling is either dominated by path loss statistics or by
small-scale fading, depending on the regime and user location scenario. We show
that upper and lower rate bounds behave in fact identically, asymptotically.
This remarkable result suggests not only that distributed resource allocation
is practically possible but also that the impact of multicell interference on
the capacity (in terms of scaling) actually vanishes asymptotically.
| cs.IT math.IT | we address the optimization of the sum rate performance in multicell interferencelimited singlehop networks where access points are allowed to cooperate in terms of joint resource allocation the resource allocation policies considered here combine power control and user scheduling although very promising from a conceptual point of view the optimization of the sum of perlink rates hinges in principle on tough issues such as computational complexity and the requirement for heavy receivertotransmitter channel information feedback across all network cells in this paper we show that in fact distributed algorithms are actually obtainable in the asymptotic regime where the numbers of users per cell is allowed to grow large additionally using extreme value theory we provide scaling laws for upper and lower bounds for the network capacity sum of single user rates over all cells corresponding to zerointerference and worstcase interference scenarios we show that the scaling is either dominated by path loss statistics or by smallscale fading depending on the regime and user location scenario we show that upper and lower rate bounds behave in fact identically asymptotically this remarkable result suggests not only that distributed resource allocation is practically possible but also that the impact of multicell interference on the capacity in terms of scaling actually vanishes asymptotically | [['we', 'address', 'the', 'optimization', 'of', 'the', 'sum', 'rate', 'performance', 'in', 'multicell', 'interferencelimited', 'singlehop', 'networks', 'where', 'access', 'points', 'are', 'allowed', 'to', 'cooperate', 'in', 'terms', 'of', 'joint', 'resource', 'allocation', 'the', 'resource', 'allocation', 'policies', 'considered', 'here', 'combine', 'power', 'control', 'and', 'user', 'scheduling', 'although', 'very', 'promising', 'from', 'a', 'conceptual', 'point', 'of', 'view', 'the', 'optimization', 'of', 'the', 'sum', 'of', 'perlink', 'rates', 'hinges', 'in', 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709.2852 | Regulator constants and the parity conjecture | The p-parity conjecture for twists of elliptic curves relates multiplicities
of Artin representations in p-infinity Selmer groups to root numbers. In this
paper we prove this conjecture for a class of such twists. For example, if E/Q
is semistable at 2 and 3, K/Q is abelian and K^\infty is its maximal pro-p
extension, then the p-parity conjecture holds for twists of E by all orthogonal
Artin representations of Gal(K^\infty/Q). We also give analogous results when
K/Q is non-abelian, the base field is not Q and E is replaced by an abelian
variety. The heart of the paper is a study of relations between permutation
representations of finite groups, their "regulator constants", and
compatibility between local root numbers and local Tamagawa numbers of abelian
varieties in such relations.
| math.NT math.GR | the pparity conjecture for twists of elliptic curves relates multiplicities of artin representations in pinfinity selmer groups to root numbers in this paper we prove this conjecture for a class of such twists for example if eq is semistable at 2 and 3 kq is abelian and kinfty is its maximal prop extension then the pparity conjecture holds for twists of e by all orthogonal artin representations of galkinftyq we also give analogous results when kq is nonabelian the base field is not q and e is replaced by an abelian variety the heart of the paper is a study of relations between permutation representations of finite groups their regulator constants and compatibility between local root numbers and local tamagawa numbers of abelian varieties in such relations | [['the', 'pparity', 'conjecture', 'for', 'twists', 'of', 'elliptic', 'curves', 'relates', 'multiplicities', 'of', 'artin', 'representations', 'in', 'pinfinity', 'selmer', 'groups', 'to', 'root', 'numbers', 'in', 'this', 'paper', 'we', 'prove', 'this', 'conjecture', 'for', 'a', 'class', 'of', 'such', 'twists', 'for', 'example', 'if', 'eq', 'is', 'semistable', 'at', '2', 'and', '3', 'kq', 'is', 'abelian', 'and', 'kinfty', 'is', 'its', 'maximal', 'prop', 'extension', 'then', 'the', 'pparity', 'conjecture', 'holds', 'for', 'twists', 'of', 'e', 'by', 'all', 'orthogonal', 'artin', 'representations', 'of', 'galkinftyq', 'we', 'also', 'give', 'analogous', 'results', 'when', 'kq', 'is', 'nonabelian', 'the', 'base', 'field', 'is', 'not', 'q', 'and', 'e', 'is', 'replaced', 'by', 'an', 'abelian', 'variety', 'the', 'heart', 'of', 'the', 'paper', 'is', 'a', 'study', 'of', 'relations', 'between', 'permutation', 'representations', 'of', 'finite', 'groups', 'their', 'regulator', 'constants', 'and', 'compatibility', 'between', 'local', 'root', 'numbers', 'and', 'local', 'tamagawa', 'numbers', 'of', 'abelian', 'varieties', 'in', 'such', 'relations']] | [-0.23457577054403603, 0.1419074243935433, -0.13047295132104958, 0.0940730697780271, -0.09727195032044417, -0.13310244481360156, -0.022645413369265576, 0.29789826599141905, -0.3327319531568459, -0.2577997617763541, 0.06897275041445114, -0.23125798275346854, -0.13148710788005874, 0.2501895015381114, -0.1482882027362754, -0.03335963248040542, -0.005514756898351368, 0.13130924167362826, -0.05322192374446858, -0.3438526363895526, 0.39317092474638704, -0.08313602914974566, 0.24424436608780295, 0.08105150497119341, 0.07194715492900401, 0.0614912028180524, -0.011556479059869335, -0.04624846064677787, -0.12308520342903359, 0.13499523401639188, 0.32697541349463993, 0.043911036837565164, 0.178111318966359, -0.33597383119668517, -0.08756109366437331, 0.2579298514784092, 0.11061166278234431, 0.01719552121080813, -0.006473318457470408, -0.18860043183575192, 0.183605518350969, -0.20688013134465094, -0.1982315261256955, -0.06200153793629613, 0.13024498921142713, 0.036665012433548416, -0.2798699194580198, 0.04685620132566703, 0.1109202334690573, 0.2158163839744197, -0.07740258932619962, -0.09606765850727993, -0.040795558697677085, 0.06880214815476118, 0.04450891660489437, 0.005151302426210826, 0.05247123825127289, -0.1794991029189929, -0.1506372890102544, 0.3857733530273277, -0.023210785603002895, -0.1991624599655292, 0.0951243275554762, -0.17005051312495081, -0.16141576923814321, 0.08822623023482425, 0.07580405413099224, 0.1185613248667251, 0.02824760931449303, 0.20355930967239796, -0.1697920068155139, 0.05218992500175816, 0.1193175132419648, -0.0471170874245997, 0.12752829416699352, 0.03398297957166852, 0.049459455106111744, 0.13433200198813297, 0.014475166309802305, 0.03809767216074443, -0.3914541452236119, -0.23455212087165342, -0.10334794366979853, 0.13783163255986494, -0.10256782482091305, -0.11045269183869962, 0.392275071710289, 0.064662655763742, 0.15610387287146987, 0.1642124373391862, 0.17837766538529345, 0.06304446258951747, 0.062573513172942, 0.057783210298992575, 0.09121408465776652, 0.2703228518108113, -0.08867215194059389, -0.1509747379976842, -0.026609811240748044, 0.2259539893443977] |
709.2853 | Andreev bound states at a cuprate grain boundary junction: A lower bound
for the upper critical field | We investigate in-plane quasiparticle tunneling across thin film grain
boundary junctions (GBJs) of the electron-doped cuprate
La$_{2-x}$Ce$_{x}$CuO$_4$ in magnetic fields up to $B=16 $T, perpendicular to
the CuO$_2$ layers. The differential conductance in the superconducting state
shows a zero bias conductance peak (ZBCP) due to zero energy surface Andreev
bound states. With increasing temperature $T$, the ZBCP vanishes at the
critical temperature $T_c\approx29 $K if B=0, and at $T=12 $K for B=16 T. As
the ZBCP is related to the macroscopic phase coherence of the superconducting
state, we argue that the disappearance of the ZBCP at a field $B_{ZBCP}(T)$
must occur below the upper critical field $B_{c2}(T)$ of the superconductor. We
find $B_{ZBCP}(0) \approx 25 $T which is at least a factor of 2.5 higher than
previous estimates of $B_{c2}(0)$.
| cond-mat.supr-con | we investigate inplane quasiparticle tunneling across thin film grain boundary junctions gbjs of the electrondoped cuprate la_2xce_xcuo_4 in magnetic fields up to b16 t perpendicular to the cuo_2 layers the differential conductance in the superconducting state shows a zero bias conductance peak zbcp due to zero energy surface andreev bound states with increasing temperature t the zbcp vanishes at the critical temperature t_capprox29 k if b0 and at t12 k for b16 t as the zbcp is related to the macroscopic phase coherence of the superconducting state we argue that the disappearance of the zbcp at a field b_zbcpt must occur below the upper critical field b_c2t of the superconductor we find b_zbcp0 approx 25 t which is at least a factor of 25 higher than previous estimates of b_c20 | [['we', 'investigate', 'inplane', 'quasiparticle', 'tunneling', 'across', 'thin', 'film', 'grain', 'boundary', 'junctions', 'gbjs', 'of', 'the', 'electrondoped', 'cuprate', 'la_2xce_xcuo_4', 'in', 'magnetic', 'fields', 'up', 'to', 'b16', 't', 'perpendicular', 'to', 'the', 'cuo_2', 'layers', 'the', 'differential', 'conductance', 'in', 'the', 'superconducting', 'state', 'shows', 'a', 'zero', 'bias', 'conductance', 'peak', 'zbcp', 'due', 'to', 'zero', 'energy', 'surface', 'andreev', 'bound', 'states', 'with', 'increasing', 'temperature', 't', 'the', 'zbcp', 'vanishes', 'at', 'the', 'critical', 'temperature', 't_capprox29', 'k', 'if', 'b0', 'and', 'at', 't12', 'k', 'for', 'b16', 't', 'as', 'the', 'zbcp', 'is', 'related', 'to', 'the', 'macroscopic', 'phase', 'coherence', 'of', 'the', 'superconducting', 'state', 'we', 'argue', 'that', 'the', 'disappearance', 'of', 'the', 'zbcp', 'at', 'a', 'field', 'b_zbcpt', 'must', 'occur', 'below', 'the', 'upper', 'critical', 'field', 'b_c2t', 'of', 'the', 'superconductor', 'we', 'find', 'b_zbcp0', 'approx', '25', 't', 'which', 'is', 'at', 'least', 'a', 'factor', 'of', '25', 'higher', 'than', 'previous', 'estimates', 'of', 'b_c20']] | [-0.23412089638309333, 0.2580163196443331, -0.03255892136889532, 0.01647238381111657, -0.007829122743972643, -0.18116648463664328, 0.14050925245112555, 0.32100655859350924, -0.24685332050371006, -0.31815376291491504, -0.032298068008128934, -0.3598436558120481, -0.014905917381237107, 0.18176300272961535, 0.02590427489393926, 0.003212699666619301, -0.0866815234373111, 0.058335223975848026, -0.12894119528547573, -0.22990757047279378, 0.29180685564596937, 0.001438666252404686, 0.3319188550657292, 0.11885871033470227, 0.009717983229445133, -0.0732219594688426, 0.1692837525184787, 0.03232254951781645, -0.20496239607236358, -0.06965567536081928, 0.29027668663161244, -0.14179345017929715, 0.19317932134332855, -0.3924945122232353, -0.16725061573711494, 0.032232942899293085, 0.1536893968389729, 0.10801542882796553, 0.03988698993142196, -0.23002331352638683, 0.11115878466223403, -0.07553606796423047, -0.13105795948260177, 0.0007612216543024919, 0.01733096516471151, -0.08469504073232882, -0.2303692273869854, 0.1633965021162477, 0.06356573690968294, 0.1174394673973553, -0.06154129969865436, -0.18044873525747868, -0.09223754305069841, -0.0032407393950352986, 0.05447484715291717, 0.1403684353448568, 0.1873591856033666, -0.13559954443682484, -0.054904786290556895, 0.22501786434509624, -0.10870954807076372, 0.019868874053404793, 0.11931427565630613, -0.259723026774765, -0.0365849420809605, 0.1890439266910938, 0.0649593448501051, 0.09196829092578859, -0.09750186134217761, 0.08498326218989495, 0.009277343326504893, 0.16761108672642333, 0.10258220838690836, 0.05555637579917262, 0.23397034019833124, 0.183075502675254, 0.11541203134528208, 0.1319536867787086, -0.1787494447533276, 0.00290711561775231, -0.28316291590316556, -0.17026166603066334, -0.16903414739493838, 0.11998500974709535, -0.08285780102149748, -0.20145130033538802, 0.3477648712225317, 0.16875096376046655, 0.24843581706490808, -0.013439190410138071, 0.22913307953977913, 0.17118529802257942, 0.11125126467398037, 0.10366074717970286, 0.20404411671961856, 0.23423541676781073, 0.16744030859354814, -0.33071521764958467, 0.07117097997143278, -0.03282569441944361] |
709.2854 | Anomaly Mediation, Fayet-Iliopoulos D-terms and the Renormalisation
Group | We address renormalisation group evolution issues that arise in the Anomaly
Mediated Supersymmetry Breaking scenario when the tachyonic slepton problem is
resolved by Fayet-Iliopoulos term contributions. We present typical sparticle
spectra both for the original formulation of this idea and an alternative using
Fayet-Iliopoulos terms for a U(1) compatible with a straightforward GUT
embedding.
| hep-ph | we address renormalisation group evolution issues that arise in the anomaly mediated supersymmetry breaking scenario when the tachyonic slepton problem is resolved by fayetiliopoulos term contributions we present typical sparticle spectra both for the original formulation of this idea and an alternative using fayetiliopoulos terms for a u1 compatible with a straightforward gut embedding | [['we', 'address', 'renormalisation', 'group', 'evolution', 'issues', 'that', 'arise', 'in', 'the', 'anomaly', 'mediated', 'supersymmetry', 'breaking', 'scenario', 'when', 'the', 'tachyonic', 'slepton', 'problem', 'is', 'resolved', 'by', 'fayetiliopoulos', 'term', 'contributions', 'we', 'present', 'typical', 'sparticle', 'spectra', 'both', 'for', 'the', 'original', 'formulation', 'of', 'this', 'idea', 'and', 'an', 'alternative', 'using', 'fayetiliopoulos', 'terms', 'for', 'a', 'u1', 'compatible', 'with', 'a', 'straightforward', 'gut', 'embedding']] | [-0.18041117067009005, 0.18985682714076205, -0.027213163008801295, 0.19142451782331424, -0.14654990589177166, -0.18769568110022833, 0.008569371830499559, 0.342153521599593, -0.25339984955887, -0.310196402689649, 0.11217483568341574, -0.23072440741169783, -0.1606683541710178, 0.0581622671786506, -0.08924338368362644, 0.004464440358181794, 0.029266321272761735, -0.06651218846026394, -0.09816609589917655, -0.21692778615074026, 0.3698469289897562, -0.009364467131456843, 0.2139499506878632, 0.07093157672702714, 0.09877301513700297, -0.026890754531551566, -0.013224291839395408, -0.0611056313522298, -0.09304704371458718, 0.1045727145025955, 0.22758622181653562, 0.06182266840780223, 0.14552464529320044, -0.39544619326652203, -0.2261943990468151, 0.1137717892933223, 0.1918039141498782, 0.11893017935842552, -0.11028742923021868, -0.2821836468798143, 0.06187669381378563, -0.24484239553135853, -0.11945196516225459, -0.08340076323926311, -0.08167976030596981, -0.25430665427335986, -0.3120694381305603, 0.15246954570627874, -0.054150904735757246, 0.02850790263188106, -0.06732403969875088, -0.057954015020557026, -0.024987101313416606, 0.02097876585375397, 0.23777775591911954, 0.0026970410685020463, 0.12074799109595241, -0.19594986665631747, -0.14965708796538552, 0.4183793579124742, -0.11040844148266371, -0.21483182676860857, 0.09064114309795615, -0.007560242748931395, -0.22522171643666095, 0.09284026338718832, 0.08166455299834963, 0.13755785329407513, -0.1676916007733477, 0.2213660360182446, -0.01853839200231488, 0.16290011322470727, 0.043432878166506136, 0.032904710698251925, 0.2580120097155924, 0.17567593385185185, 0.059173207385120566, 0.07942875771334877, 0.010154247163208547, -0.09333257268493374, -0.44578713965084815, -0.06950539445366573, -0.0751187016290647, 0.06787267399744855, -0.09887028984802007, -0.11143991397693753, 0.4002189985303967, 0.14318472410862645, 0.2399322713414828, 0.06634706100104032, 0.2768361459882861, 0.10972740126911688, 0.10748632995873103, -0.011336745094956347, 0.20712925112564806, 0.08150693546997866, 0.09174365315724302, -0.30988997584036376, -0.07466970997672805, 0.15514476681818012] |
709.2855 | A Novel Solution to the Frenet-Serret Equations | A set of equations is developed to describe a curve in space given the
curvature $\kappa$ and the angle of rotation $\theta$ of the osculating plane.
The set of equations has a solution (in terms of $\kappa$ and $\theta$) that
indirectly solves the Frenet-Serret equations, with a unique value of $\theta$
for each specified value of $\tau$. Explicit solutions can be generated for
constant $\theta$. The equations break down when the tangent vector aligns to
one of the unit coordinate vectors, requiring a reorientation of the local
coordinate system.
| math.DG | a set of equations is developed to describe a curve in space given the curvature kappa and the angle of rotation theta of the osculating plane the set of equations has a solution in terms of kappa and theta that indirectly solves the frenetserret equations with a unique value of theta for each specified value of tau explicit solutions can be generated for constant theta the equations break down when the tangent vector aligns to one of the unit coordinate vectors requiring a reorientation of the local coordinate system | [['a', 'set', 'of', 'equations', 'is', 'developed', 'to', 'describe', 'a', 'curve', 'in', 'space', 'given', 'the', 'curvature', 'kappa', 'and', 'the', 'angle', 'of', 'rotation', 'theta', 'of', 'the', 'osculating', 'plane', 'the', 'set', 'of', 'equations', 'has', 'a', 'solution', 'in', 'terms', 'of', 'kappa', 'and', 'theta', 'that', 'indirectly', 'solves', 'the', 'frenetserret', 'equations', 'with', 'a', 'unique', 'value', 'of', 'theta', 'for', 'each', 'specified', 'value', 'of', 'tau', 'explicit', 'solutions', 'can', 'be', 'generated', 'for', 'constant', 'theta', 'the', 'equations', 'break', 'down', 'when', 'the', 'tangent', 'vector', 'aligns', 'to', 'one', 'of', 'the', 'unit', 'coordinate', 'vectors', 'requiring', 'a', 'reorientation', 'of', 'the', 'local', 'coordinate', 'system']] | [-0.22815596873170874, 0.0922092784109808, -0.07111704683328947, -0.024299555794294044, -0.12358711445390173, -0.12705032633201566, 0.017589660685802443, 0.2943700947537181, -0.3452780567360728, -0.23093826603994633, 0.09542249221278856, -0.2604443217271918, -0.07734225622346896, 0.1803794875741005, -0.003863465679244379, 0.06330859952009796, 0.0027969453661713037, 0.09778241552360188, -0.13881690336359936, -0.20552681684703306, 0.3361608800425958, -0.015629670948962147, 0.20200115395186657, -0.039840674938194535, 0.2220909908267387, -0.00466930350613142, 0.03071105345727855, 0.0455022225561264, -0.14026444806402427, 0.10273965999609634, 0.1902527970790319, 0.11806580041315448, 0.21664608214861514, -0.34702736848776927, -0.15389639589140255, 0.10343009497175056, 0.11706885486171487, 0.06171245113266318, 0.028010355988831333, -0.24261033832189743, 0.07810834756518682, -0.08262997625521228, -0.2384409827253457, -0.06474821206726385, 0.06624144640112861, 0.0406733304706894, -0.31181476451456547, 0.05196795904527554, 0.055766816185578036, 0.07001307753197263, -0.09767581126914265, -0.09630890266075103, -0.07112277408517646, 0.09881383834538846, 0.09745700693731144, 0.13075201248415233, 0.09036557065595067, -0.13877862327721682, -0.054938269611657334, 0.41088285937570457, -0.08065803966804125, -0.32122378987050876, 0.06654174846670266, -0.17762290067928896, -0.07152260130982888, 0.14838271290901, 0.15658685445963416, 0.17267350653667798, -0.10701309067927683, 0.14346913473054065, -0.0626784267866712, 0.16094511139384482, 0.11054038551238397, -0.0626748352431891, 0.2003133434886008, 0.06756993444646929, 0.0891007239239688, 0.10337925603315025, -0.0708357588364481, -0.11220827402044715, -0.35643160007135377, -0.20074305382002605, -0.14786532212943468, 0.08913622452260068, -0.14853273700429598, -0.1539562042970001, 0.41303298475346373, 0.08067356451320347, 0.24201913789082108, 0.05677845529960782, 0.24055962744849116, 0.15835392789089833, 0.06300526789415384, 0.06507401267757242, 0.2149513101812159, 0.12524278222562304, 0.05678338368077961, -0.2139924372378946, 0.07133080092980788, 0.12716869690738034] |
709.2856 | Half BPS states in AdS_5 x Y^{p,q} | We study a class of solutions of IIB Supergravity which are asymptotically
AdS_5 x Y^{p,q}. They have an R x SO(4) x SU(2) x U(1) isometry and preserve
half of the 8 supercharges of the background geometry. They are described by a
set of second order differential equations that we have found and analysed in a
previous paper, where we studied 1/8 BPS states in the maximally supersymmetric
AdS_5 x S^5 background. These geometries correspond to certain chiral primary
operators of the N=1 superconformal quiver theories, dual to IIB theory on
AdS_5 x Y^{p,q}.
We also show how to recover the AdS_5 x Y^{p,q} backgrounds by suitably
doubling the number of preserved supersymmetries. We then solve the
differential equations perturbatively in a large AdS_5 radius expansion,
imposing asymptotic AdS_5 x Y^{p,q} boundary conditions. We compute the global
baryonic and mesonic charges, including the R-charge. As for the computation of
the mass, i.e. the conformal dimension D of the dual field theory operators,
which is notoriously subtle in asymptotically AdS backgrounds, we adopt the
general formalism due to Wald and collaborators, which gives a finite result,
and verify the relation D=3 R / 2, demanded by the N=1 superconformal algebra.
| hep-th | we study a class of solutions of iib supergravity which are asymptotically ads_5 x ypq they have an r x so4 x su2 x u1 isometry and preserve half of the 8 supercharges of the background geometry they are described by a set of second order differential equations that we have found and analysed in a previous paper where we studied 18 bps states in the maximally supersymmetric ads_5 x s5 background these geometries correspond to certain chiral primary operators of the n1 superconformal quiver theories dual to iib theory on ads_5 x ypq we also show how to recover the ads_5 x ypq backgrounds by suitably doubling the number of preserved supersymmetries we then solve the differential equations perturbatively in a large ads_5 radius expansion imposing asymptotic ads_5 x ypq boundary conditions we compute the global baryonic and mesonic charges including the rcharge as for the computation of the mass ie the conformal dimension d of the dual field theory operators which is notoriously subtle in asymptotically ads backgrounds we adopt the general formalism due to wald and collaborators which gives a finite result and verify the relation d3 r 2 demanded by the n1 superconformal algebra | [['we', 'study', 'a', 'class', 'of', 'solutions', 'of', 'iib', 'supergravity', 'which', 'are', 'asymptotically', 'ads_5', 'x', 'ypq', 'they', 'have', 'an', 'r', 'x', 'so4', 'x', 'su2', 'x', 'u1', 'isometry', 'and', 'preserve', 'half', 'of', 'the', '8', 'supercharges', 'of', 'the', 'background', 'geometry', 'they', 'are', 'described', 'by', 'a', 'set', 'of', 'second', 'order', 'differential', 'equations', 'that', 'we', 'have', 'found', 'and', 'analysed', 'in', 'a', 'previous', 'paper', 'where', 'we', 'studied', '18', 'bps', 'states', 'in', 'the', 'maximally', 'supersymmetric', 'ads_5', 'x', 's5', 'background', 'these', 'geometries', 'correspond', 'to', 'certain', 'chiral', 'primary', 'operators', 'of', 'the', 'n1', 'superconformal', 'quiver', 'theories', 'dual', 'to', 'iib', 'theory', 'on', 'ads_5', 'x', 'ypq', 'we', 'also', 'show', 'how', 'to', 'recover', 'the', 'ads_5', 'x', 'ypq', 'backgrounds', 'by', 'suitably', 'doubling', 'the', 'number', 'of', 'preserved', 'supersymmetries', 'we', 'then', 'solve', 'the', 'differential', 'equations', 'perturbatively', 'in', 'a', 'large', 'ads_5', 'radius', 'expansion', 'imposing', 'asymptotic', 'ads_5', 'x', 'ypq', 'boundary', 'conditions', 'we', 'compute', 'the', 'global', 'baryonic', 'and', 'mesonic', 'charges', 'including', 'the', 'rcharge', 'as', 'for', 'the', 'computation', 'of', 'the', 'mass', 'ie', 'the', 'conformal', 'dimension', 'd', 'of', 'the', 'dual', 'field', 'theory', 'operators', 'which', 'is', 'notoriously', 'subtle', 'in', 'asymptotically', 'ads', 'backgrounds', 'we', 'adopt', 'the', 'general', 'formalism', 'due', 'to', 'wald', 'and', 'collaborators', 'which', 'gives', 'a', 'finite', 'result', 'and', 'verify', 'the', 'relation', 'd3', 'r', '2', 'demanded', 'by', 'the', 'n1', 'superconformal', 'algebra']] | 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709.2857 | Chern numbers and diffeomorphism types of projective varieties | In 1954 Hirzebruch asked which linear combinations of Chern numbers are
topological invariants of smooth complex projective varieties. We give a
complete answer to this question in small dimensions, and also prove partial
results without restrictions on the dimension.
| math.GT math.AG | in 1954 hirzebruch asked which linear combinations of chern numbers are topological invariants of smooth complex projective varieties we give a complete answer to this question in small dimensions and also prove partial results without restrictions on the dimension | [['in', '1954', 'hirzebruch', 'asked', 'which', 'linear', 'combinations', 'of', 'chern', 'numbers', 'are', 'topological', 'invariants', 'of', 'smooth', 'complex', 'projective', 'varieties', 'we', 'give', 'a', 'complete', 'answer', 'to', 'this', 'question', 'in', 'small', 'dimensions', 'and', 'also', 'prove', 'partial', 'results', 'without', 'restrictions', 'on', 'the', 'dimension']] | [-0.1983079082595232, 0.09374613294568963, -0.026007997445189036, 0.09687861220803685, -0.13812415907159448, -0.19756903579363075, 0.022710733581334352, 0.2683162372559309, -0.2735881340236236, -0.2642141536164742, 0.05939233600973892, -0.24216259686419597, -0.20499709332123017, 0.20589754233757654, -0.179110855413362, 0.056704906722865045, 0.011927330299304465, 0.029307300941302225, -0.10649094018989648, -0.43970915795160603, 0.45532103264943147, -0.14470332181558776, 0.19149902787728187, 0.15530145421433142, 0.10186003361088343, -0.02010510180097742, -0.017739288938733246, 0.03252812725706743, -0.19569273453014782, 0.11916388886479232, 0.37971408798908574, 0.06374436095118141, 0.15395750052844867, -0.41024006664370877, -0.1427814799408691, 0.14617596462201804, 0.03990768172587149, 0.09177753423304799, 0.04427599303054217, -0.28670092810613984, 0.11106924113268271, -0.0736211563150088, -0.17976940504442424, -0.14380634408921766, 0.09986128548207955, -0.013209256749504652, -0.22951101115307745, -0.009420003581535405, 0.1257359182032255, 0.19820222908702606, -0.041552516572081886, -0.069936444505285, -0.07190440119936681, 0.05512122946898811, -0.009113932320034133, -0.010013281761740263, 0.0028313930767277875, -0.1074822832030268, -0.172127615302228, 0.3315950274730149, -0.02089231824263548, -0.30368688263190097, 0.1530669512322698, -0.18169073347384349, -0.18583198150213903, 0.12322851709830455, 0.1582221354190738, 0.19610529942199206, 0.056509452423480794, 0.15645618695998564, -0.1705332090958762, 0.11903582045581573, 0.17955574306110159, 0.02101380379201892, 0.12728920612388697, 0.011229032053588292, 0.08672004971557702, 0.12823292040504897, 0.05157970267539032, -0.015337918502971148, -0.32601570359502846, -0.24258932956040669, -0.12204230512277438, 0.21627001617199335, -0.0801484880775649, -0.17066904806937927, 0.42273518541015875, 0.0605452019148148, 0.2469996853898733, 0.12249220290686935, 0.23557282759784123, 0.054552350838023886, -0.018568540756136943, 0.01780581768029011, 0.11284692738300715, 0.18513994191128474, 0.008051134419078246, -0.10091193627494459, -0.013533982054258768, 0.21764745673116964] |
709.2858 | Millimeter-Scale, Highly Ordered Single Crystalline Graphene Grown on Ru
(0001) Surface | We demonstrate a method for synthesizing large scale single layer graphene by
thermal annealing of ruthenium single crystal containing carbon. Low energy
electron diffraction indicates the graphene grows to as large as millimeter
dimensions with good long-range order, and scanning tunneling microscope shows
perfect crystallinity. Analysis of Moire pattern augmented with
first-principles calculations shows the graphene layer is incommensurate with
the underlying Ru(0001) surface forming a N by N superlattice with an average
lattice strain of ~ +0.81%. Our findings offer an effective method for
producing high quality single crystalline graphene for fundamental research and
large-scale graphene wafer for device fabrication and integration.
| cond-mat.mtrl-sci | we demonstrate a method for synthesizing large scale single layer graphene by thermal annealing of ruthenium single crystal containing carbon low energy electron diffraction indicates the graphene grows to as large as millimeter dimensions with good longrange order and scanning tunneling microscope shows perfect crystallinity analysis of moire pattern augmented with firstprinciples calculations shows the graphene layer is incommensurate with the underlying ru0001 surface forming a n by n superlattice with an average lattice strain of 081 our findings offer an effective method for producing high quality single crystalline graphene for fundamental research and largescale graphene wafer for device fabrication and integration | [['we', 'demonstrate', 'a', 'method', 'for', 'synthesizing', 'large', 'scale', 'single', 'layer', 'graphene', 'by', 'thermal', 'annealing', 'of', 'ruthenium', 'single', 'crystal', 'containing', 'carbon', 'low', 'energy', 'electron', 'diffraction', 'indicates', 'the', 'graphene', 'grows', 'to', 'as', 'large', 'as', 'millimeter', 'dimensions', 'with', 'good', 'longrange', 'order', 'and', 'scanning', 'tunneling', 'microscope', 'shows', 'perfect', 'crystallinity', 'analysis', 'of', 'moire', 'pattern', 'augmented', 'with', 'firstprinciples', 'calculations', 'shows', 'the', 'graphene', 'layer', 'is', 'incommensurate', 'with', 'the', 'underlying', 'ru0001', 'surface', 'forming', 'a', 'n', 'by', 'n', 'superlattice', 'with', 'an', 'average', 'lattice', 'strain', 'of', '081', 'our', 'findings', 'offer', 'an', 'effective', 'method', 'for', 'producing', 'high', 'quality', 'single', 'crystalline', 'graphene', 'for', 'fundamental', 'research', 'and', 'largescale', 'graphene', 'wafer', 'for', 'device', 'fabrication', 'and', 'integration']] | [-0.14522943335274854, 0.15433094663546632, -0.01995595475640513, -0.07377135969456468, 0.012447813512100017, -0.19737980761976145, 0.08548935516920014, 0.4689696722609155, -0.2611456773992555, -0.3703891488120836, -0.0447251858993196, -0.31685340241243715, -0.14736507930473297, 0.1812358979825113, 0.03785942591653735, 0.08911070339929532, 0.052691489859831096, -0.13627592364654822, -0.06228877541092087, -0.2340568784788689, 0.22376310927382506, 0.10911490679170717, 0.39797457132269354, 0.10373825467575122, 0.06903504290362346, 0.04687529899791686, 0.10839374294942793, 0.005502433867613767, -0.13709322446226782, 0.1216924037948689, 0.23147380129233294, -0.14096211453936264, 0.20896327612446805, -0.5208035188307073, -0.2376325919438957, -0.0868888378015482, 0.14063389776000643, 0.16409238007869206, -0.13260127729553656, -0.21821938279797048, 0.1237976869988237, -0.10110796366558027, -0.14287606971429698, -0.09209272816010258, -0.04793051855784713, -0.018331703485112965, -0.2588670463209935, 0.08001654086418807, -0.038401739680956976, 0.14600137925606083, -0.09771861082317271, -0.12704848651272044, -0.0886710894946922, 0.034096693884873505, -0.01804428674764566, 0.0731001590862505, 0.21997499222611533, -0.08895043136698066, -0.10993786523684713, 0.3879163635931179, -0.0792281425377701, -0.08655373776769813, 0.15047537424035518, -0.17387888995090536, -0.058824483907836324, 0.19025025804362752, 0.07269239536196669, 0.08876480324668627, -0.11496231268507008, 0.04502013198861295, -0.021967651572719894, 0.24807019265227057, 0.1309364314702358, 0.08604863129884881, 0.2507459478014532, 0.3242006571780817, 0.05686623503581858, 0.13939064878093846, -0.168754004363305, 0.025901779247100885, -0.17263822604253815, -0.20783752718639067, -0.22545050106960915, 0.09299454852760605, -0.15593139789316587, -0.26221337535089867, 0.3493249133758831, 0.0803779130481987, 0.16066008770162715, -0.034439623209775665, 0.2870445051550062, 0.07013003224525236, 0.10963944972072746, -0.03874145270617423, 0.1707227072568939, 0.11941503528414257, 0.09981123637408018, -0.22718657043479457, 0.04270917934584705, -0.03516204031806339] |
709.2859 | Simulation Studies and Detector Scenarios for an ILC Polarimeter | High energy longitudinal electron polarimetry will be based on Compton
scattering for the International Linear Collider. An unobtrusive measurement
has to include a magnet chicane setup serving as a spectrometer. Current
proposals make use of Cerenkov detectors for electron detection. A fast
simulation has been developed to study the basic properties of scenarios for
the polarimeter setup.
| physics.ins-det | high energy longitudinal electron polarimetry will be based on compton scattering for the international linear collider an unobtrusive measurement has to include a magnet chicane setup serving as a spectrometer current proposals make use of cerenkov detectors for electron detection a fast simulation has been developed to study the basic properties of scenarios for the polarimeter setup | [['high', 'energy', 'longitudinal', 'electron', 'polarimetry', 'will', 'be', 'based', 'on', 'compton', 'scattering', 'for', 'the', 'international', 'linear', 'collider', 'an', 'unobtrusive', 'measurement', 'has', 'to', 'include', 'a', 'magnet', 'chicane', 'setup', 'serving', 'as', 'a', 'spectrometer', 'current', 'proposals', 'make', 'use', 'of', 'cerenkov', 'detectors', 'for', 'electron', 'detection', 'a', 'fast', 'simulation', 'has', 'been', 'developed', 'to', 'study', 'the', 'basic', 'properties', 'of', 'scenarios', 'for', 'the', 'polarimeter', 'setup']] | [-0.09041763198349559, 0.13771851283417436, -0.1007171376739024, 0.04226466652267335, -0.10364696082838795, -0.2093330175909949, -0.05550833157541459, 0.40642171032857477, -0.16802182853254571, -0.30036646738779127, 0.11876072430689084, -0.32050289092748835, 0.0016556610925155773, 0.3057193325407672, 0.03042643522157481, 0.1196827788820915, 0.09339050415968686, -0.052424786808459384, -0.03358435429011782, -0.13077194607212095, 0.2110746979566389, 0.26053316208223504, 0.33962185826283275, 0.08534688136556692, 0.19060109045944715, 0.08180340484454575, -0.039673830660288796, -0.027081881649792194, -0.05693582819546001, 0.03999811358619155, 0.30827266219676586, 0.13087683588086643, 0.2066688350352802, -0.46800632010165016, -0.21367264068440386, 0.040757514340312856, 0.08565009300384605, 0.051980068532876636, -0.10789276665411562, -0.26579348716819495, -0.006268213266147333, -0.23654468275306403, -0.16358910396433712, -0.06782047256925389, -0.008510479907782977, 0.014626126666961793, -0.2991284397675803, -0.07853457119250506, -0.05765615627904864, 0.045160562061426934, -0.049414376140032946, -0.0763481094526421, 0.12266332496022969, 0.04278326304139275, 0.01752450266493517, 0.02627315397145586, 0.16856271921444618, -0.11630619293601628, -0.1773695856202067, 0.3395831031365353, -0.04112189183044329, -0.133175013096709, 0.16975627438034535, -0.18338750038916865, -0.09856873816451091, 0.1360560749624774, 0.2532384121104291, 0.08867263906684361, -0.19558611941899648, 0.07242875039708196, -0.028075653340732844, 0.17010866482170267, 0.04736230874090994, 0.062089525449106044, 0.2677820839902811, 0.2853704341605567, 0.07408679784847456, 0.12738333619199693, -0.24445461313517994, 0.05388675966675867, -0.2951073267337817, -0.1660339407982272, -0.14951296640854134, 0.03481315992968647, 0.06697881758507145, -0.12758625377165644, 0.3852594711638072, 0.1443991559541533, 0.12145195378954604, -0.06551123630631257, 0.40490361747511644, 0.07961857199399291, 0.1253557479598257, -0.03658283184401961, 0.31276420793463394, 0.15241989254820765, 0.1763147287348514, -0.2116872877078621, 0.02651680181244094, 0.031382598105425895] |
709.286 | Gromov-Witten invariants of target curves via Symplectic Field Theory | We compute the Gromov-Witten potential at all genera of target smooth Riemann
surfaces using Symplectic Field Theory techniques and establish differential
equations for the full descendant potential. This amounts to impose (and
possibly solve) different kinds of Schroedinger equations related to some
quantization of the dispersionless KdV hierarchy. In particular we find very
explicit formulas for the Gromov-Witten invariants of low degree of P1 with
descendants of the Kaehler class.
| math.SG math-ph math.MP | we compute the gromovwitten potential at all genera of target smooth riemann surfaces using symplectic field theory techniques and establish differential equations for the full descendant potential this amounts to impose and possibly solve different kinds of schroedinger equations related to some quantization of the dispersionless kdv hierarchy in particular we find very explicit formulas for the gromovwitten invariants of low degree of p1 with descendants of the kaehler class | [['we', 'compute', 'the', 'gromovwitten', 'potential', 'at', 'all', 'genera', 'of', 'target', 'smooth', 'riemann', 'surfaces', 'using', 'symplectic', 'field', 'theory', 'techniques', 'and', 'establish', 'differential', 'equations', 'for', 'the', 'full', 'descendant', 'potential', 'this', 'amounts', 'to', 'impose', 'and', 'possibly', 'solve', 'different', 'kinds', 'of', 'schroedinger', 'equations', 'related', 'to', 'some', 'quantization', 'of', 'the', 'dispersionless', 'kdv', 'hierarchy', 'in', 'particular', 'we', 'find', 'very', 'explicit', 'formulas', 'for', 'the', 'gromovwitten', 'invariants', 'of', 'low', 'degree', 'of', 'p1', 'with', 'descendants', 'of', 'the', 'kaehler', 'class']] | [-0.1771781807964934, 0.016942416331065552, -0.051630695929218616, 0.13512221647127132, -0.09278292759388153, -0.16702978927642106, -0.023022148872925235, 0.2566559233569673, -0.300149283967247, -0.2975823537313512, 0.0580388419612843, -0.2557128660181271, -0.1798763815978808, 0.17888042331407114, -0.10667147575773665, 0.07879005576417382, 0.03823145469484319, 0.036639432915087256, -0.19261723994942648, -0.32388988565653565, 0.4566560701666666, -0.08491845762224069, 0.19670239768456668, 0.08823838480083006, 0.14871106006737267, -0.03762910259621484, -0.00020909088530710764, -0.07273306200014694, -0.1521870587819389, 0.12925790286889033, 0.3207741473235988, 0.04196096733212471, 0.1324339272387858, -0.46949880442449027, -0.18326888189767487, 0.14519093882159462, 0.11091388942939895, 0.13921182320586273, -0.022996439784765243, -0.24812591790354677, 0.09456442464143038, -0.11302581471245503, -0.27127319453284143, -0.1341438902142857, 0.025459358626643995, 0.06468347256471003, -0.1654880856296846, 0.05595471622156245, -0.010747357451223901, 0.04964756590447256, -0.11215938277808683, -0.133674255825047, -0.09944884543573218, 0.07556234984658658, 0.051397223976839865, 0.03501746238076261, 0.020667025081015058, -0.18342700706728335, -0.08692809253199292, 0.35049058220216206, -0.08466472780398493, -0.2900937891432217, 0.13230428806106959, -0.1315726774012936, -0.2156405640599717, 0.14826966122657592, 0.14261468348226378, 0.18791755830336895, -0.08705826196819544, 0.17541375708575027, 0.015730149944179823, 0.06075286245572248, 0.1505360093499933, 0.014695205220154354, 0.18333389995220517, 0.038457164081877895, 0.0699602951561766, 0.10318454235925206, -0.03772891964763403, -0.12704724890978208, -0.3488689495516675, -0.19017796720644192, -0.08187737749789709, 0.14372550940274129, -0.12598624482177131, -0.19337869287867632, 0.4248772156291774, 0.08100260806136898, 0.1503472759321864, 0.18839744424414157, 0.20297100224665232, 0.1640652662143111, 0.05951772733741174, 0.04061915925038712, 0.12002082350372803, 0.23452237074130347, 0.06417295741183417, -0.21390477985842155, -0.07882062442866819, 0.18675657412303345] |
709.2861 | Supermassive black holes from OASIS and SAURON integral-field kinematics | Supermassive black holes are a key element in our understanding of how
galaxies form. Most of the progress in this very active field of research is
based on just ~30 determinations of black hole mass, accumulated over the past
decade. We illustrate how integral-field spectroscopy, and in particular our
OASIS modeling effort, can help improve the current situation.
| astro-ph | supermassive black holes are a key element in our understanding of how galaxies form most of the progress in this very active field of research is based on just 30 determinations of black hole mass accumulated over the past decade we illustrate how integralfield spectroscopy and in particular our oasis modeling effort can help improve the current situation | [['supermassive', 'black', 'holes', 'are', 'a', 'key', 'element', 'in', 'our', 'understanding', 'of', 'how', 'galaxies', 'form', 'most', 'of', 'the', 'progress', 'in', 'this', 'very', 'active', 'field', 'of', 'research', 'is', 'based', 'on', 'just', '30', 'determinations', 'of', 'black', 'hole', 'mass', 'accumulated', 'over', 'the', 'past', 'decade', 'we', 'illustrate', 'how', 'integralfield', 'spectroscopy', 'and', 'in', 'particular', 'our', 'oasis', 'modeling', 'effort', 'can', 'help', 'improve', 'the', 'current', 'situation']] | [-0.06478279002075052, 0.052019302620841514, -0.06551144219099961, 0.05597106176267924, -0.12310306878423254, -0.05605208272403427, 0.04276806443672756, 0.38608633283654165, -0.13657583054837547, -0.353550159019129, 0.12942678960851103, -0.3137974377384345, -0.11516878069860154, 0.2780505057809682, -0.07646898330381975, 0.009859292601347613, 0.07709790677522663, -0.01806865610053827, -0.08475937850869678, -0.3102322536006827, 0.3423028502147645, 0.10851253308195236, 0.24018276010736309, 0.027181099554331137, 0.03388205163807062, -0.024549996054827654, -0.08205980476762714, 0.0010371266980655491, -0.14033126373422042, 0.1617404054689767, 0.29773198183754396, 0.17688968930050233, 0.3363425133043322, -0.457383939450414, -0.2281040283209034, 0.04602025091198498, 0.21911565001636488, 0.10070196613027103, -0.1875485233452717, -0.22511532486833888, 0.044266746716638064, -0.23053301986435365, -0.131315964755827, -0.02378015522042225, 0.02579071171429201, -0.0006629122934978584, -0.1626703884324123, 0.05341483930382749, 0.021449154853050052, 0.022395458441741508, -0.07896249275253123, -0.08473024136740072, 0.0016840318426618289, 0.1624541304812863, 0.08885979139775937, 0.10146676675930362, 0.20610151360421602, -0.14770857955666322, -0.10481041316585295, 0.32794459347195665, -0.05241675469382056, -0.08733983911525715, 0.18655773271918938, -0.28091792675570165, -0.14965283330369356, 0.06011321024712304, 0.23216933451978297, 0.18435139717245153, -0.1556331010631703, 0.09035286454560139, -0.03640065018633573, 0.2100978254115787, 0.01646757921493002, 0.06365388162947934, 0.36851508276344375, 0.23040146617909316, -0.013351261447151673, 0.04914945934032058, -0.11880857521138186, -0.09780756775932066, -0.23827489830176185, -0.15680316235099373, -0.13687864434102487, 0.0857832753059358, -0.1027719689899923, -0.07472442258309958, 0.3805683061986327, 0.19589145654001563, 0.20683404729412547, -0.03488735493336772, 0.30037112992011256, 0.009985366230027685, 0.08920806909686532, 0.05124250471046002, 0.3300029651486668, 0.14184358502449146, 0.13406677993118826, -0.22999137576573112, 0.042958885495518816, 0.03860917454585433] |
709.2862 | Electromagnetic cloaking in the visible frequency range | Electromagnetic metamaterials provide unprecedented freedom and flexibility
to introduce new devices, which control electromagnetic wave propagation in
very unusual ways. Very recently theoretical design of an "invisibility cloak"
has been suggested, which has been realized at microwave frequencies in a
two-dimensional cylindrical geometry. In this communication we report on the
experimental realization of the dielectric permittivity distribution required
for non-magnetic cloaking in the visible frequency range.
| physics.optics | electromagnetic metamaterials provide unprecedented freedom and flexibility to introduce new devices which control electromagnetic wave propagation in very unusual ways very recently theoretical design of an invisibility cloak has been suggested which has been realized at microwave frequencies in a twodimensional cylindrical geometry in this communication we report on the experimental realization of the dielectric permittivity distribution required for nonmagnetic cloaking in the visible frequency range | [['electromagnetic', 'metamaterials', 'provide', 'unprecedented', 'freedom', 'and', 'flexibility', 'to', 'introduce', 'new', 'devices', 'which', 'control', 'electromagnetic', 'wave', 'propagation', 'in', 'very', 'unusual', 'ways', 'very', 'recently', 'theoretical', 'design', 'of', 'an', 'invisibility', 'cloak', 'has', 'been', 'suggested', 'which', 'has', 'been', 'realized', 'at', 'microwave', 'frequencies', 'in', 'a', 'twodimensional', 'cylindrical', 'geometry', 'in', 'this', 'communication', 'we', 'report', 'on', 'the', 'experimental', 'realization', 'of', 'the', 'dielectric', 'permittivity', 'distribution', 'required', 'for', 'nonmagnetic', 'cloaking', 'in', 'the', 'visible', 'frequency', 'range']] | [-0.20490762184261146, 0.12257123036706065, -0.05038831963655398, -0.08178632571820565, -0.18156120522568622, -0.14445822137746622, -0.013406699911380807, 0.48928576843305066, -0.1781334161730201, -0.31501844344717084, 0.03065447816025522, -0.2233370076794403, -0.18963274284915038, 0.22205947085537694, -0.03359237097373063, 0.13815054091427362, -0.06348123841665008, -0.047117684215966925, -0.011842819604542896, -0.12151089853212012, 0.22056107765599858, 0.10639867659263087, 0.35906407530560636, 0.07161732305857268, 0.10162390620098449, -0.019066262235300557, 0.06808227155301155, -0.020349609496241265, -0.1121064403983341, 0.09858989069294749, 0.3055125325635979, -0.0036531358773848324, 0.22858543139459056, -0.4669128695897984, -0.3152042586553955, 0.015714862228681643, 0.17124916639559987, 0.12667452860764708, -0.17064395978884545, -0.29495217635606724, 0.012482987013010477, -0.16513334378374345, -0.18894886558458288, -0.08945017099154717, 0.03740752395948, -0.025593302889981052, -0.2129353808069771, -0.039339840207531146, 0.00839418333701112, 0.0837957161817361, -0.057850574318956315, -0.09063743276408676, 0.08024938123046675, 0.04972880341423055, -0.0005597100579038714, -0.042463860806134165, 0.0767706716574277, -0.130425409791342, -0.1129050323683204, 0.38320770566210605, 0.010133666988236435, -0.1784083234767119, 0.1674696187361736, -0.1693398413600252, -0.02617470675966505, 0.18436244621195577, 0.24233569707157035, 0.07198437277199418, -0.18262826139636507, 0.10184074881765286, -0.026368345366570407, 0.17225213288893979, 0.14026783932720058, 0.1576437838446123, 0.256180575625463, 0.21968942105939443, 0.020115470471368593, 0.164866612335159, -0.09000788852713551, 0.03280196079250538, -0.26191935981764936, -0.1343802223546487, -0.23910066423316798, 0.06205110438234194, -0.0667585303231273, -0.19998433195393195, 0.41801241819154134, 0.1831474616033533, 0.12046073725672835, -0.04793511131058701, 0.32374041719418584, 0.08111426000003562, 0.11307303157324593, 0.03128829241067058, 0.3989966641829321, 0.16272837206523752, 0.18362324115481565, -0.19362432750957934, 0.01938585176972221, -0.06837537751363759] |
709.2863 | Dynamics of the Distorted Diamond Chain | We present results on the dynamics of the distorted diamond chain, S=1/2
dimers alternating with single spins 1/2 and exchange couplings $J_1$ and $J_3$
in between. The dynamics in the spin fluid (SF) and tetramer-dimer (TD) phases
is investigated numerically by exact diagonalisation for up to 24 spins.
Representative excitation spectra are presented, both for zero magnetic field
and in the 1/3 plateau phase and the relevant parameters are determined across
the phase diagram. The behavior across the SF-TD phase transition line is
discussed for the specific heat and for excitation spectra. The relevance of
the distorted diamond chain model for the material Cu$_3$(CO$_3$)$_2$(OH)$_2$
(azurite) is discussed with particular emphasis on inelastic neutron scattering
experiments, a recent suggestion of one possibly ferromagnetic coupling
constant is not confirmed.
| cond-mat.str-el | we present results on the dynamics of the distorted diamond chain s12 dimers alternating with single spins 12 and exchange couplings j_1 and j_3 in between the dynamics in the spin fluid sf and tetramerdimer td phases is investigated numerically by exact diagonalisation for up to 24 spins representative excitation spectra are presented both for zero magnetic field and in the 13 plateau phase and the relevant parameters are determined across the phase diagram the behavior across the sftd phase transition line is discussed for the specific heat and for excitation spectra the relevance of the distorted diamond chain model for the material cu_3co_3_2oh_2 azurite is discussed with particular emphasis on inelastic neutron scattering experiments a recent suggestion of one possibly ferromagnetic coupling constant is not confirmed | [['we', 'present', 'results', 'on', 'the', 'dynamics', 'of', 'the', 'distorted', 'diamond', 'chain', 's12', 'dimers', 'alternating', 'with', 'single', 'spins', '12', 'and', 'exchange', 'couplings', 'j_1', 'and', 'j_3', 'in', 'between', 'the', 'dynamics', 'in', 'the', 'spin', 'fluid', 'sf', 'and', 'tetramerdimer', 'td', 'phases', 'is', 'investigated', 'numerically', 'by', 'exact', 'diagonalisation', 'for', 'up', 'to', '24', 'spins', 'representative', 'excitation', 'spectra', 'are', 'presented', 'both', 'for', 'zero', 'magnetic', 'field', 'and', 'in', 'the', '13', 'plateau', 'phase', 'and', 'the', 'relevant', 'parameters', 'are', 'determined', 'across', 'the', 'phase', 'diagram', 'the', 'behavior', 'across', 'the', 'sftd', 'phase', 'transition', 'line', 'is', 'discussed', 'for', 'the', 'specific', 'heat', 'and', 'for', 'excitation', 'spectra', 'the', 'relevance', 'of', 'the', 'distorted', 'diamond', 'chain', 'model', 'for', 'the', 'material', 'cu_3co_3_2oh_2', 'azurite', 'is', 'discussed', 'with', 'particular', 'emphasis', 'on', 'inelastic', 'neutron', 'scattering', 'experiments', 'a', 'recent', 'suggestion', 'of', 'one', 'possibly', 'ferromagnetic', 'coupling', 'constant', 'is', 'not', 'confirmed']] | [-0.15732505652196113, 0.21417796969901592, 0.02602989154882611, 0.04940368370929112, -0.016527776488117756, -0.1461433625432648, 0.04851070435769442, 0.441128926854285, -0.2308697238017524, -0.2682794351574211, 0.08649688253885075, -0.3377910851840935, -0.0641344611547769, 0.17413607772831466, 0.1339398679450073, -0.012493391969381639, 0.010826859628737327, 0.03915819568219521, -0.09607786633118633, -0.20056803655415212, 0.2855032775400942, 0.01975788617698801, 0.2768881222573183, 0.06912291828646427, 0.05550338302384175, 0.04419379700196996, 0.07894186850356323, -0.01437670351671321, -0.18694099917682627, 0.04161519776763661, 0.21988795009175582, -0.06475356373462886, 0.10719768938031934, -0.3977773882271278, -0.1845740302066718, 0.03582439910955838, 0.12756096610858564, 0.12418526431013431, -0.08025465696673131, -0.28602993919233244, 0.011116373685321637, -0.14476281584846595, -0.11062456458984386, -0.09424365134835834, -0.004945402191619256, 0.0367116410680677, -0.2497270118245589, 0.11359893574678738, 0.058474904735616985, 0.0852167074603679, -0.0961426790131049, -0.13427546739371288, -0.06276127488337575, 0.0778919830290039, 0.032812096658051904, 0.04799641044958243, 0.114350448259049, -0.1141017251056693, -0.11678530983183355, 0.3509017437075575, -0.06544664032786848, -0.12504869014729694, 0.16369918729769922, -0.17971096867716238, -0.12515330988182022, 0.16271519659471417, 0.07163387223605126, 0.13002385888322596, -0.13793041059629074, 0.08179192194652316, 0.030581639883744103, 0.16473187213497503, -0.007885791100783362, -0.0022302081592247953, 0.23207072154544886, 0.19569250332590724, -0.01978902981084372, 0.1763976522821135, -0.13081475875399534, -0.17484389533776612, -0.23304651925591605, -0.11417900663449444, -0.21246586962499553, 0.01994149999091095, -0.10790311728741804, -0.12948278723181122, 0.380085682422514, 0.10135530972254653, 0.1885475009081087, -0.0492526468269283, 0.22006255002795821, 0.09288449239148389, 0.024861861480444315, 0.028458415157353832, 0.2779724243584843, 0.2156924559339319, 0.10507204796793679, -0.3015856719649737, 0.036269726240009605, 0.03467767823871876] |
709.2864 | A Complete Scheme for a Muon Collider | A complete scheme for production, cooling, acceleration, and ring for a 1.5
TeV center of mass muon collider is presented, together with parameters for two
higher energy machines. The schemes starts with the front end of a proposed
neutrino factory that yields bunch trains of both muon signs. Six dimensional
cooling in long-period helical lattices reduces the longitudinal emittance
until it becomes possible to merge the trains into single bunches, one of each
sign. Further cooling in all dimensions is applied to the single bunches in
further helical lattices. Final transverse cooling to the required parameters
is achieved in 50 T solenoids.
| physics.acc-ph | a complete scheme for production cooling acceleration and ring for a 15 tev center of mass muon collider is presented together with parameters for two higher energy machines the schemes starts with the front end of a proposed neutrino factory that yields bunch trains of both muon signs six dimensional cooling in longperiod helical lattices reduces the longitudinal emittance until it becomes possible to merge the trains into single bunches one of each sign further cooling in all dimensions is applied to the single bunches in further helical lattices final transverse cooling to the required parameters is achieved in 50 t solenoids | [['a', 'complete', 'scheme', 'for', 'production', 'cooling', 'acceleration', 'and', 'ring', 'for', 'a', '15', 'tev', 'center', 'of', 'mass', 'muon', 'collider', 'is', 'presented', 'together', 'with', 'parameters', 'for', 'two', 'higher', 'energy', 'machines', 'the', 'schemes', 'starts', 'with', 'the', 'front', 'end', 'of', 'a', 'proposed', 'neutrino', 'factory', 'that', 'yields', 'bunch', 'trains', 'of', 'both', 'muon', 'signs', 'six', 'dimensional', 'cooling', 'in', 'longperiod', 'helical', 'lattices', 'reduces', 'the', 'longitudinal', 'emittance', 'until', 'it', 'becomes', 'possible', 'to', 'merge', 'the', 'trains', 'into', 'single', 'bunches', 'one', 'of', 'each', 'sign', 'further', 'cooling', 'in', 'all', 'dimensions', 'is', 'applied', 'to', 'the', 'single', 'bunches', 'in', 'further', 'helical', 'lattices', 'final', 'transverse', 'cooling', 'to', 'the', 'required', 'parameters', 'is', 'achieved', 'in', '50', 't', 'solenoids']] | [-0.1370956395026844, 0.26769872678115086, -0.02996509561004738, 0.06610678985838175, -0.04705920012430379, -0.18127991517037884, 0.01358028507663631, 0.4125163630746743, -0.22986133874270737, -0.26342088088174076, 0.02909513419452945, -0.2605597062182485, 0.0844834693205342, 0.25605061372705534, 0.02612120503851888, 0.05793080811260962, 0.10101538348952126, 0.027811620754244572, -0.06221905984863292, -0.2970487505937105, 0.24252956731281444, 0.10156695440630703, 0.2782731871006499, 0.03802780964521363, 0.14332172815578387, 0.0033890507252448622, 0.03188804316382362, -0.027415492946245505, -0.07960913261187813, 0.01425912812598707, 0.20031366415102692, 0.05656113023595775, 0.21946489547981934, -0.41943515871888865, -0.16936969416051664, 0.08150988084939766, 0.17318414452978792, 0.1216923888937077, -0.0706675545399205, -0.1823479963703921, 0.07805803860081177, -0.19895404241248674, -0.17079408195636728, -0.0185333496397909, 0.01481667211206228, 0.016454223424707558, -0.30869108026701153, 0.044220258997680215, 0.04025690562511776, 0.007355206337866976, -0.06210610714932794, -0.09731370797746029, -0.0270234255266248, 0.03145335080083825, 0.05475468073250251, 0.08237848857271612, 0.1434849683839061, -0.1266218006446662, -0.1837947327168841, 0.36379046288008493, -0.029092948253759566, -0.12351410437886622, 0.17425163044575967, -0.19049647588775875, -0.07727799593817954, 0.23206172072712114, 0.1905423047194513, 0.045525377146059684, -0.1304775786987853, -0.002870843426767262, 0.019479063978674365, 0.17184316506381056, 0.11715012969330464, -0.007459668378692632, 0.21753843855934546, 0.2511243350055142, 0.09783800974900277, 0.12970097929093183, -0.16455764667240574, -0.02551988469420786, -0.3168084143350522, -0.12963601574758252, -0.09771841084790032, 0.03445808529196417, -0.03717101396357654, -0.08756951905111325, 0.4398878916046812, 0.10224806402580797, 0.22921162534176426, -0.022398312516766144, 0.34287498582738873, 0.0696067144984708, 0.12164165324665031, 0.09305338424390214, 0.24499066458905444, 0.15149722874675894, 0.1311208281675171, -0.2464194128189382, -0.05257790942457231, 0.07713253782404696] |
709.2865 | Renormalisation in Quantum Mechanics | This lecture provides an introduction to the renormalisation group as applied
to scattering of two nonrelativistic particles. As well as forming a framework
for constructing effective theories of few-nucleon systems, these ideas also
provide a simple example which illustrates general features of the
renormalisation group.
| hep-ph nucl-th quant-ph | this lecture provides an introduction to the renormalisation group as applied to scattering of two nonrelativistic particles as well as forming a framework for constructing effective theories of fewnucleon systems these ideas also provide a simple example which illustrates general features of the renormalisation group | [['this', 'lecture', 'provides', 'an', 'introduction', 'to', 'the', 'renormalisation', 'group', 'as', 'applied', 'to', 'scattering', 'of', 'two', 'nonrelativistic', 'particles', 'as', 'well', 'as', 'forming', 'a', 'framework', 'for', 'constructing', 'effective', 'theories', 'of', 'fewnucleon', 'systems', 'these', 'ideas', 'also', 'provide', 'a', 'simple', 'example', 'which', 'illustrates', 'general', 'features', 'of', 'the', 'renormalisation', 'group']] | [-0.09023482878175047, 0.1418850961170392, -0.17711636469595962, 0.11238350113595111, -0.08431724865092999, -0.14847700293693278, -0.010621127134395971, 0.3072340327832434, -0.24648382330520285, -0.3233781359675858, 0.08753323767127262, -0.21349547182520232, -0.18551691894729933, 0.18867567707267072, -0.005286544726954566, -0.007180861466460757, -0.003847058510614766, 0.020290677576041263, -0.12319262540485296, -0.22310181413259772, 0.32889493769034744, 0.07412528477402197, 0.23309273061652977, 0.09287888465656174, 0.09217595046179163, 0.07297996909668049, -0.043773152358416056, 0.025701609160751104, -0.09586682750119103, 0.15513890501525668, 0.33096850839340025, 0.04605569187551737, 0.2409266497111983, -0.428120893239975, -0.2365848189426793, -0.006721312945915593, 0.19312839481151767, 0.170792563039706, -0.12873557679769065, -0.30975793509019744, 0.0043671557679772375, -0.23125052058862317, -0.2051319465869003, -0.14284223795144094, 0.002245256749706136, -0.04276230882646309, -0.23394664706041415, 0.015505668661919318, 0.020525642031700247, 0.0835084445360634, -0.02508553260122426, -0.10268821459418784, 0.06494593021666838, 0.13719670066816939, 0.0694740360395776, 0.005477158125076029, 0.16446830867272283, -0.12712413977521161, -0.1311814132353498, 0.47047671791579987, -0.06697552775343259, -0.18210452844699224, 0.221396850877338, -0.01837509446260002, -0.19174075353787176, 0.0355547859850857, 0.19906121918724642, 0.135411945813232, -0.19390582214627, 0.07172126022891866, -0.06836954549265405, 0.07882705245994859, -0.012596930749714375, 0.04005887508004283, 0.18704709563818242, 0.18120400187455946, 0.02763586981842915, 0.09418973740604189, 0.01963555992891391, -0.11669779577189021, -0.41195892352196906, -0.15914828918046423, -0.09501729861108793, 0.08205168028362095, -0.08006884553987119, -0.18808879925765926, 0.38636440676119593, 0.14348519047101338, 0.1890265819720096, 0.06121052422612491, 0.2547835000687175, 0.12101612406938027, 0.061667052794817004, 0.004501298846056064, 0.17738437795908088, 0.17995377328350312, 0.03625638342152039, -0.16100299652251931, -0.06773405987251964, 0.16005004683716428] |
709.2866 | Bose-Einstein condensates with attractive 1/r interaction: The case of
self-trapping | Amplifying on a proposal by O'Dell et al. for the realization of
Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction,
we point out that the instance of self-trapping of the condensate, without
external trap potential, is physically best understood by introducing
appropriate "atomic" units. This reveals a remarkable scaling property: the
physics of the condensate depends only on the two parameters $N^2 a/a_u$ and
$\gamma/N^2$, where $N$ is the particle number, $a$ the scattering length,
$a_u$ the "Bohr" radius and $\gamma$ the trap frequency in atomic units. We
calculate accurate numerical results for self-trapping wave functions and
potentials, for energies, sizes and peak densities, and compare with previous
variational results. As a novel feature we point out the existence of a second
solution of the extended Gross-Pitaevskii equation for negative scattering
lengths, with and without trapping potential, which is born together with the
ground state in a tangent bifurcation. This indicates the existence of an
unstable collectively excited state of the condensate for negative scattering
lengths.
| quant-ph | amplifying on a proposal by odell et al for the realization of boseeinstein condensates of neutral atoms with attractive 1r interaction we point out that the instance of selftrapping of the condensate without external trap potential is physically best understood by introducing appropriate atomic units this reveals a remarkable scaling property the physics of the condensate depends only on the two parameters n2 aa_u and gamman2 where n is the particle number a the scattering length a_u the bohr radius and gamma the trap frequency in atomic units we calculate accurate numerical results for selftrapping wave functions and potentials for energies sizes and peak densities and compare with previous variational results as a novel feature we point out the existence of a second solution of the extended grosspitaevskii equation for negative scattering lengths with and without trapping potential which is born together with the ground state in a tangent bifurcation this indicates the existence of an unstable collectively excited state of the condensate for negative scattering lengths | [['amplifying', 'on', 'a', 'proposal', 'by', 'odell', 'et', 'al', 'for', 'the', 'realization', 'of', 'boseeinstein', 'condensates', 'of', 'neutral', 'atoms', 'with', 'attractive', '1r', 'interaction', 'we', 'point', 'out', 'that', 'the', 'instance', 'of', 'selftrapping', 'of', 'the', 'condensate', 'without', 'external', 'trap', 'potential', 'is', 'physically', 'best', 'understood', 'by', 'introducing', 'appropriate', 'atomic', 'units', 'this', 'reveals', 'a', 'remarkable', 'scaling', 'property', 'the', 'physics', 'of', 'the', 'condensate', 'depends', 'only', 'on', 'the', 'two', 'parameters', 'n2', 'aa_u', 'and', 'gamman2', 'where', 'n', 'is', 'the', 'particle', 'number', 'a', 'the', 'scattering', 'length', 'a_u', 'the', 'bohr', 'radius', 'and', 'gamma', 'the', 'trap', 'frequency', 'in', 'atomic', 'units', 'we', 'calculate', 'accurate', 'numerical', 'results', 'for', 'selftrapping', 'wave', 'functions', 'and', 'potentials', 'for', 'energies', 'sizes', 'and', 'peak', 'densities', 'and', 'compare', 'with', 'previous', 'variational', 'results', 'as', 'a', 'novel', 'feature', 'we', 'point', 'out', 'the', 'existence', 'of', 'a', 'second', 'solution', 'of', 'the', 'extended', 'grosspitaevskii', 'equation', 'for', 'negative', 'scattering', 'lengths', 'with', 'and', 'without', 'trapping', 'potential', 'which', 'is', 'born', 'together', 'with', 'the', 'ground', 'state', 'in', 'a', 'tangent', 'bifurcation', 'this', 'indicates', 'the', 'existence', 'of', 'an', 'unstable', 'collectively', 'excited', 'state', 'of', 'the', 'condensate', 'for', 'negative', 'scattering', 'lengths']] | [-0.14668998214641982, 0.18441136435677905, -0.05505259859968315, 0.0495156470636809, -0.018689048834935284, -0.14452676191982447, 0.0688976745657397, 0.34830120099200446, -0.20964358719065784, -0.25075164372383646, 0.01697602079701469, -0.2862617107080013, -0.09434236281438534, 0.15930244646380853, 0.05338242043825713, 0.05674797697274974, 0.02843558680209698, 0.03485955427767652, -0.038437935002994805, -0.19642005695707418, 0.34775454433860653, 0.05356036338560057, 0.247569867607319, 0.0863659013175603, 0.07968113319383878, 0.022521554970775137, 0.049353537440412876, -0.00962224660554167, -0.1470444416463689, 0.08753797314694207, 0.18061624514185964, 0.0182326057072108, 0.25246033701537685, -0.4228282018818639, -0.21269968077046514, 0.08545493320138617, 0.15555003756572577, 0.16849016932643612, -0.054155268063804024, -0.3187196735744223, -0.008358009752224792, -0.12943733649497682, -0.22100688200302873, -0.07427403693348451, 0.08222884829014991, 0.06795281669915174, -0.29782726354332584, 0.09757137618620287, 0.05761431865006064, 0.03224428543365899, -0.11600323425267231, -0.10674687887570172, -0.002266905152690456, 0.040741139814031845, 0.009164552812492757, 0.02541935093644442, 0.1206737056346328, -0.14391879233898539, -0.06946732053942414, 0.3591370880095796, -0.09267808509510801, -0.16519733886093352, 0.16509141939494645, -0.12311965785356183, -0.05270443365090724, 0.15125741765580394, 0.10520922775577866, 0.09591604562081171, -0.0983406634514474, 0.07819281466037148, -0.05957959382150985, 0.17866649564644888, 0.1175780973199642, 0.03499947105901259, 0.22664103590403542, 0.1744691952555017, 0.04530170430626833, 0.13479832523982183, -0.09989666021287893, -0.12411133363511356, -0.3131871632808311, -0.13236260436127795, -0.21148554623747864, 0.059730020329395, -0.0860078421528945, -0.15320513552111206, 0.364092735106577, 0.12315626884669517, 0.24265000467950648, 0.01395143975687185, 0.27091489600469215, 0.1336447919803587, 0.0580308891638803, 0.03906698144520774, 0.26034703855826097, 0.1317327192638803, 0.06648788207746817, -0.27523521195945444, -0.01606079242686092, 0.083976570089263] |
709.2867 | Observation of opto-mechanical multistability in a high Q torsion
balance oscillator | We observe the opto-mechanical multistability of a macroscopic torsion
balance oscillator. The torsion oscillator forms the moving mirror of a
hemi-spherical laser light cavity. When a laser beam is coupled into this
cavity, the radiation pressure force of the intra-cavity beam adds to the
torsion wire's restoring force, forming an opto-mechanical potential. In the
absence of optical damping, up to 23 stable trapping regions were observed due
to local light potential minima over a range of 4 micrometer oscillator
displacement. Each of these trapping positions exhibits optical spring
properties. Hysteresis behavior between neighboring trapping positions is also
observed. We discuss the prospect of observing opto-mechanical stochastic
resonance, aiming at enhancing the signal-to-noise ratio (SNR) in gravity
experiments.
| physics.optics | we observe the optomechanical multistability of a macroscopic torsion balance oscillator the torsion oscillator forms the moving mirror of a hemispherical laser light cavity when a laser beam is coupled into this cavity the radiation pressure force of the intracavity beam adds to the torsion wires restoring force forming an optomechanical potential in the absence of optical damping up to 23 stable trapping regions were observed due to local light potential minima over a range of 4 micrometer oscillator displacement each of these trapping positions exhibits optical spring properties hysteresis behavior between neighboring trapping positions is also observed we discuss the prospect of observing optomechanical stochastic resonance aiming at enhancing the signaltonoise ratio snr in gravity experiments | [['we', 'observe', 'the', 'optomechanical', 'multistability', 'of', 'a', 'macroscopic', 'torsion', 'balance', 'oscillator', 'the', 'torsion', 'oscillator', 'forms', 'the', 'moving', 'mirror', 'of', 'a', 'hemispherical', 'laser', 'light', 'cavity', 'when', 'a', 'laser', 'beam', 'is', 'coupled', 'into', 'this', 'cavity', 'the', 'radiation', 'pressure', 'force', 'of', 'the', 'intracavity', 'beam', 'adds', 'to', 'the', 'torsion', 'wires', 'restoring', 'force', 'forming', 'an', 'optomechanical', 'potential', 'in', 'the', 'absence', 'of', 'optical', 'damping', 'up', 'to', '23', 'stable', 'trapping', 'regions', 'were', 'observed', 'due', 'to', 'local', 'light', 'potential', 'minima', 'over', 'a', 'range', 'of', '4', 'micrometer', 'oscillator', 'displacement', 'each', 'of', 'these', 'trapping', 'positions', 'exhibits', 'optical', 'spring', 'properties', 'hysteresis', 'behavior', 'between', 'neighboring', 'trapping', 'positions', 'is', 'also', 'observed', 'we', 'discuss', 'the', 'prospect', 'of', 'observing', 'optomechanical', 'stochastic', 'resonance', 'aiming', 'at', 'enhancing', 'the', 'signaltonoise', 'ratio', 'snr', 'in', 'gravity', 'experiments']] | [-0.2237101879894224, 0.22024704166998962, -0.05153350916125963, -0.032438831581957005, -0.030822388660640288, -0.22436723973140374, 0.027466896305240802, 0.41247685719281435, -0.25588544137560976, -0.303496521523493, -0.03243260576666341, -0.2760493438939651, -0.09762801438108341, 0.1977819273662236, -0.013846412110023009, 0.022739689415081952, 0.005929896803015572, -0.01380412864825155, 0.02565579327285035, -0.1687630664439808, 0.22813984602450943, 0.10776899812313226, 0.27349949140463853, 0.02877116998514304, 0.13943977607812127, -0.044240085654852226, 0.08425458363042428, -0.03265436909073948, -0.12007504506792842, 0.06054932900513403, 0.17403035378083587, -0.03625482159197076, 0.25918453928624463, -0.42431038595003706, -0.20742015450651574, 0.1285469284456255, 0.12477806911770947, 0.1644169580207294, -0.0644003410373902, -0.27793676224656594, -0.06448241791281945, -0.09408886088098152, -0.20206924400523177, -0.02583191742022068, 0.009680354800552893, 0.066668173765891, -0.23228021912499625, 0.04324492748252626, 0.01265846361987229, 0.11835295231376067, -0.12013729668867129, -0.01645669847158178, -0.015943699046714693, 0.04102527460358981, -0.0023398812279168866, -0.008609638067806123, 0.25894462308472294, -0.13589080986984742, -0.047520026837228835, 0.3756099714953293, -0.10445282394544055, -0.09949012393028372, 0.15083355403258505, -0.20465850102482364, 0.010999885232498249, 0.20070162113819623, 0.16250809273706415, 0.031283391213729084, -0.11401632810909496, 0.013639944780649792, 0.0460653957297914, 0.19268199400657898, 0.21100789634908876, 0.08218343953928377, 0.26633098169078684, 0.19111878455727974, 0.05798303316403021, 0.21668624691565672, -0.17814736150336477, -0.07434088534587978, -0.3129217220931991, -0.09618138346192227, -0.1288665065722954, 0.05611272004998138, -0.12072282263603157, -0.12889404766038698, 0.38627329147142225, 0.10247371812364978, 0.12444655598801935, -0.014586128859629488, 0.32913188973807883, 0.10236043775549684, 0.08876184454490231, -0.03308684920541879, 0.4027772235771657, 0.2012686859856113, 0.1242838724462602, -0.36806172596362347, -0.055126284903838724, -0.008266183891946562] |
709.2868 | On Galois Groups of Prime Degree Polynomials with Complex Roots | Let $f$ be an irreducible polynomial of prime degree $p\geq 5$ over $\QQ$,
with precisely $k$ pairs of complex roots. Using a result of Jens H\"{o}chsmann
(1999), we show that if $p\geq 4k+1$ then $\Gal(f/\QQ)$ is isomorphic to
$A_{p}$ or $S_{p}$. This improves the algorithm for computing the Galois group
of an irreducible polynomial of prime degree, introduced by A. Bialostocki and
T.Shaska.
If such a polynomial $f$ is solvable by radicals then its Galois group is a
Frobenius group of degree p. Conversely, any Frobenius group of degree p and of
even order, can be realized as the Galois group of an irreducible polynomial of
degree $p$ over $\QQ$ having complex roots.
| math.NT math.GR | let f be an irreducible polynomial of prime degree pgeq 5 over qq with precisely k pairs of complex roots using a result of jens hochsmann 1999 we show that if pgeq 4k1 then galfqq is isomorphic to a_p or s_p this improves the algorithm for computing the galois group of an irreducible polynomial of prime degree introduced by a bialostocki and tshaska if such a polynomial f is solvable by radicals then its galois group is a frobenius group of degree p conversely any frobenius group of degree p and of even order can be realized as the galois group of an irreducible polynomial of degree p over qq having complex roots | [['let', 'f', 'be', 'an', 'irreducible', 'polynomial', 'of', 'prime', 'degree', 'pgeq', '5', 'over', 'qq', 'with', 'precisely', 'k', 'pairs', 'of', 'complex', 'roots', 'using', 'a', 'result', 'of', 'jens', 'hochsmann', '1999', 'we', 'show', 'that', 'if', 'pgeq', '4k1', 'then', 'galfqq', 'is', 'isomorphic', 'to', 'a_p', 'or', 's_p', 'this', 'improves', 'the', 'algorithm', 'for', 'computing', 'the', 'galois', 'group', 'of', 'an', 'irreducible', 'polynomial', 'of', 'prime', 'degree', 'introduced', 'by', 'a', 'bialostocki', 'and', 'tshaska', 'if', 'such', 'a', 'polynomial', 'f', 'is', 'solvable', 'by', 'radicals', 'then', 'its', 'galois', 'group', 'is', 'a', 'frobenius', 'group', 'of', 'degree', 'p', 'conversely', 'any', 'frobenius', 'group', 'of', 'degree', 'p', 'and', 'of', 'even', 'order', 'can', 'be', 'realized', 'as', 'the', 'galois', 'group', 'of', 'an', 'irreducible', 'polynomial', 'of', 'degree', 'p', 'over', 'qq', 'having', 'complex', 'roots']] | [-0.23114697557281363, 0.11207893570310923, -0.12595424459061838, -0.022700583104531026, -0.0809494583952156, -0.16062623096037318, -0.05239147471306337, 0.3210915693166581, -0.38937848101962697, -0.23228877896273678, 0.014842635998502374, -0.22177776051685213, -0.1318989758464423, 0.19129472754430027, -0.08835547019050202, -0.04461640651729381, 0.01883052365685051, 0.21760556819764051, -0.06631716151129116, -0.3951678472486409, 0.34974090236831795, -0.04366119637746702, 0.0851849138842557, 0.03502724192274565, 0.128376830635931, 0.04230359945954247, 0.04992611015173183, -0.03776078801813789, -0.12191001603370585, 0.07835765065286647, 0.35593589436559175, 0.09187466124580665, 0.2507531565201299, -0.3126729582351717, -0.08335135599428957, 0.3535855576776984, 0.1745012429458174, -0.05207460908515548, 0.0265048006020317, -0.23947400261901997, 0.19587482026862826, -0.1760578751560057, -0.18616609033197165, -0.0677467727694999, 0.1327446079812944, 0.024277663112364033, -0.32376415604217484, 0.0028641639785333115, 0.12367691307921301, 0.23965709715170802, 0.03159810641293668, -0.1822963681537658, -0.036585252956402574, 0.029843633001754907, -0.0691695371558043, 0.10372723140753806, 0.03282388166778467, -0.10582085360815241, -0.13218499435196546, 0.38809114885939794, -0.046477214176080785, -0.17439189463515173, 0.0826973046599464, -0.18763231465338984, -0.12070153005929156, 0.1773064829239791, 0.10391125980849293, 0.14014656928960573, 0.036365714212032885, 0.2460443371980959, -0.16189462289383466, 0.1429895921313966, 0.1141033950177106, -0.07872389881363646, 0.05752687808126211, 0.021907954032278874, 0.0997886814261702, 0.0854365074350922, 0.03733140617524358, 0.089587513031438, -0.31994340938346627, -0.19188921353779734, -0.1894441860135306, 0.14761377266100184, -0.16171410241645803, -0.09377345971932466, 0.4126159884712913, 0.013426694379780781, 0.14608390082351186, 0.13219537464901804, 0.17948700495445255, 0.0967968101433309, 0.06346701370044187, 0.10083167620290293, 0.03775373401056806, 0.225064234981652, -0.14927874041763559, -0.1746258667500859, 0.029112395051528107, 0.15398240674033084] |
709.2869 | Excitation of K-shell electrons by electron impact | The universal scaling behavior for the electron-impact excitation cross
sections of the $2s$ states of hydrogen- and helium-like multicharged ions is
deduced. The study is performed within the framework of non-relativistic
perturbation theory, taking into account the one-photon exchange diagrams.
Special emphasis is laid on the near-threshold energy domain. The parametrical
relationship between the cross sections for excitation of multicharged ions
with different number of electrons is established.
| physics.atom-ph | the universal scaling behavior for the electronimpact excitation cross sections of the 2s states of hydrogen and heliumlike multicharged ions is deduced the study is performed within the framework of nonrelativistic perturbation theory taking into account the onephoton exchange diagrams special emphasis is laid on the nearthreshold energy domain the parametrical relationship between the cross sections for excitation of multicharged ions with different number of electrons is established | [['the', 'universal', 'scaling', 'behavior', 'for', 'the', 'electronimpact', 'excitation', 'cross', 'sections', 'of', 'the', '2s', 'states', 'of', 'hydrogen', 'and', 'heliumlike', 'multicharged', 'ions', 'is', 'deduced', 'the', 'study', 'is', 'performed', 'within', 'the', 'framework', 'of', 'nonrelativistic', 'perturbation', 'theory', 'taking', 'into', 'account', 'the', 'onephoton', 'exchange', 'diagrams', 'special', 'emphasis', 'is', 'laid', 'on', 'the', 'nearthreshold', 'energy', 'domain', 'the', 'parametrical', 'relationship', 'between', 'the', 'cross', 'sections', 'for', 'excitation', 'of', 'multicharged', 'ions', 'with', 'different', 'number', 'of', 'electrons', 'is', 'established']] | [-0.10786690119215671, 0.17578099004116238, -0.0185048633515287, 0.13563555638607153, 0.062101590940180945, -0.12112422213506173, 0.04230028774883762, 0.3472694821847493, -0.17154039133011417, -0.2533463054774877, -0.0828329005607349, -0.33197349411613475, 0.05056391075691756, 0.14897370015216224, 0.13645066754714422, 0.040286418338141894, 0.038050627513952995, 0.012430446181336747, -0.011437728062874693, -0.13644367469789678, 0.35548121246906433, 0.07288403958356117, 0.288652211016811, 0.16540343126775148, 0.040486969957676006, 0.06758314063977998, 0.0047401160837205894, -0.042695177095832634, -0.13621985483640695, 0.11107729197572232, 0.24873582483098075, 0.04029438663821887, 0.1675345485427362, -0.45981013884439187, -0.16770923129104845, 0.03806980651365045, 0.14984106723054805, 0.13881257233922095, -0.03221685713095426, -0.3110398591687793, -0.023951610406477225, -0.1660336123998551, -0.119333376053392, -0.057756245718337595, 0.04201294268097948, 0.04908152400372166, -0.2488971132072894, 0.0394382196759312, 0.010403867728789063, 0.04782076959279092, -0.1112862026784569, -0.15999954108915784, -0.08748370261095903, 0.09030351720010753, 0.06984324775197927, -0.04026214059729896, 0.18739268332651324, -0.0997575301786556, -0.08745113154873252, 0.3956464001607588, -0.02982749296900104, -0.14510679313474717, 0.09293197089915767, -0.1730354088358581, -0.1155141091268674, 0.2245547785783214, 0.14082282024558962, 0.12452896643320427, -0.12604452476508038, 0.1377019093171625, -0.00565049156327458, 0.1581092304413152, 0.0974833188640118, 0.056742274366757446, 0.1363095128634835, 0.17784640505594915, -0.07062199011938099, 0.1140278755714569, -0.10393299219568315, -0.1751591152895023, -0.35590571899186163, -0.14242715958286734, -0.11131225483190707, 0.03901063271469491, -0.028696731150429353, -0.13411737374468324, 0.3571791379055118, -0.00026221697985687675, 0.21437069670398212, -0.05440880536266109, 0.29147829800186786, 0.19983932444387498, 0.0032690881429623593, -0.01249473835067714, 0.3039073900264852, 0.2608647777370232, 0.06557615282808375, -0.2927070271826404, 0.04090147659607122, 0.11771094541558448] |
709.287 | On the nature of the z=0 X-ray absorbers: I. Clues from an external
group | Absorption lines of OVII at redshift zero are observed in high quality
Chandra spectra of extragalactic sightlines. The location of the absorber
producing these lines, whether from the corona of the Galaxy or from the Local
Group or even larger scale structure, has been a matter of debate. Here we
study another poor group like our Local Group to understand the distribution of
column density from galaxy to group scales. We show that we cannot yet rule out
the group origin of z=0 systems. We further argue that the debate over Galactic
vs. extragalactic origin of z=0 systems is premature as they likely contain
both components and predict that future higher resolution observations will
resolve the z=0 systems into multiple components.
| astro-ph | absorption lines of ovii at redshift zero are observed in high quality chandra spectra of extragalactic sightlines the location of the absorber producing these lines whether from the corona of the galaxy or from the local group or even larger scale structure has been a matter of debate here we study another poor group like our local group to understand the distribution of column density from galaxy to group scales we show that we cannot yet rule out the group origin of z0 systems we further argue that the debate over galactic vs extragalactic origin of z0 systems is premature as they likely contain both components and predict that future higher resolution observations will resolve the z0 systems into multiple components | [['absorption', 'lines', 'of', 'ovii', 'at', 'redshift', 'zero', 'are', 'observed', 'in', 'high', 'quality', 'chandra', 'spectra', 'of', 'extragalactic', 'sightlines', 'the', 'location', 'of', 'the', 'absorber', 'producing', 'these', 'lines', 'whether', 'from', 'the', 'corona', 'of', 'the', 'galaxy', 'or', 'from', 'the', 'local', 'group', 'or', 'even', 'larger', 'scale', 'structure', 'has', 'been', 'a', 'matter', 'of', 'debate', 'here', 'we', 'study', 'another', 'poor', 'group', 'like', 'our', 'local', 'group', 'to', 'understand', 'the', 'distribution', 'of', 'column', 'density', 'from', 'galaxy', 'to', 'group', 'scales', 'we', 'show', 'that', 'we', 'can', 'not', 'yet', 'rule', 'out', 'the', 'group', 'origin', 'of', 'z0', 'systems', 'we', 'further', 'argue', 'that', 'the', 'debate', 'over', 'galactic', 'vs', 'extragalactic', 'origin', 'of', 'z0', 'systems', 'is', 'premature', 'as', 'they', 'likely', 'contain', 'both', 'components', 'and', 'predict', 'that', 'future', 'higher', 'resolution', 'observations', 'will', 'resolve', 'the', 'z0', 'systems', 'into', 'multiple', 'components']] | [-0.10280073676487339, 0.08335079230200194, -0.12389128740312012, 0.0961839078866388, -0.1102871704755015, -0.06354882961452069, 0.0481825970861389, 0.4609409388704378, -0.22632803932046058, -0.30854101919141586, 0.07482704501045624, -0.31833585901338546, -0.0403457558141319, 0.15455092414526544, 0.012316297552716291, -0.04869605180211976, -0.004014275547739149, -0.03494916681093393, -0.04618369949755896, -0.2701202639069439, 0.31688378797080674, 0.09041618563418018, 0.23084349244390232, 0.005779415193456607, 0.07277261973232256, -0.09292267939671263, -0.07888336849139362, 0.018341007047012203, -0.08134181475996557, 0.0456893176420546, 0.2578955823841856, 0.14183887316211752, 0.25130392368844723, -0.39803263727483934, -0.2470982377875413, 0.1187485965869588, 0.2224241371045164, 0.05889886651249206, -0.051515893235833186, -0.25893991292439034, 0.1049855409021161, -0.14750037652337314, -0.16516393966606405, 0.01692442052432748, -0.009684071347468579, 0.01138250365067029, -0.14321858649853939, 0.12475896931012909, 0.018654147651596148, 0.08680870951168605, -0.07966513846252786, -0.10503067334323786, -0.052108120117870874, 0.12314882239357369, 0.04197532410130332, 0.02964101870903043, 0.18310432594849682, -0.18028178698856567, -0.056596568339031005, 0.44723608539455006, -0.05473748802924987, -0.02482188234227847, 0.23687609350957647, -0.2606550183330403, -0.20091042327923608, 0.1386691047962694, 0.18196892917259275, 0.07086324514095961, -0.11808431150866902, 0.026753730613444396, -0.06018547928743217, 0.2306162231347951, 0.006244599448944457, 0.05709589433452672, 0.31960765862089324, 0.06560848032689241, 0.07252928498857102, 0.04566478563308502, -0.1615115144694621, 0.003683703462974947, -0.24693929291087904, -0.12350742633027009, -0.11619196511942466, 0.10754832671012932, -0.06414773693052025, -0.12088416141198306, 0.34961339289353033, 0.17397952803074704, 0.2523159905352065, 0.027415496787651764, 0.27953452247454497, 0.06764438245674503, 0.10028201895078918, 0.07533613965678655, 0.25535538896048043, 0.13365419181235533, 0.027118132059408932, -0.2007522578885565, 0.07513158544745357, -0.013488065210919156] |
709.2871 | Photometric Redshift Requirements for Self-Calibration of Cluster Dark
Energy Studies | The ability to constrain dark energy from the evolution of galaxy cluster
counts is limited by the imperfect knowledge of cluster redshifts. Ongoing and
upcoming surveys will mostly rely on redshifts estimated from broad-band
photometry (photo-z's). For a Gaussian distribution for the cluster photo-z
errors and a high cluster yield cosmology defined by the WMAP 1 year results,
the photo-z bias and scatter needs to be known better than 0.003 and 0.03,
respectively, in order not to degrade dark energy constrains by more than 10%
for a survey with specifications similar to the South Pole Telescope. Smaller
surveys and cosmologies with lower cluster yields produce weaker photo-z
requirements, though relative to worse baseline constraints. Comparable photo-z
requirements are necessary in order to employ self-calibration techniques when
solving for dark energy and observable-mass parameters simultaneously. On the
other hand, self-calibration in combination with external mass inferences helps
reduce photo-z requirements and provides important consistency checks for
future cluster surveys. In our fiducial model, training sets with spectroscopic
redshifts for ~5%-15% of the detected clusters are required in order to keep
degradations in the dark energy equation of state lower than 20%.
| astro-ph | the ability to constrain dark energy from the evolution of galaxy cluster counts is limited by the imperfect knowledge of cluster redshifts ongoing and upcoming surveys will mostly rely on redshifts estimated from broadband photometry photozs for a gaussian distribution for the cluster photoz errors and a high cluster yield cosmology defined by the wmap 1 year results the photoz bias and scatter needs to be known better than 0003 and 003 respectively in order not to degrade dark energy constrains by more than 10 for a survey with specifications similar to the south pole telescope smaller surveys and cosmologies with lower cluster yields produce weaker photoz requirements though relative to worse baseline constraints comparable photoz requirements are necessary in order to employ selfcalibration techniques when solving for dark energy and observablemass parameters simultaneously on the other hand selfcalibration in combination with external mass inferences helps reduce photoz requirements and provides important consistency checks for future cluster surveys in our fiducial model training sets with spectroscopic redshifts for 515 of the detected clusters are required in order to keep degradations in the dark energy equation of state lower than 20 | [['the', 'ability', 'to', 'constrain', 'dark', 'energy', 'from', 'the', 'evolution', 'of', 'galaxy', 'cluster', 'counts', 'is', 'limited', 'by', 'the', 'imperfect', 'knowledge', 'of', 'cluster', 'redshifts', 'ongoing', 'and', 'upcoming', 'surveys', 'will', 'mostly', 'rely', 'on', 'redshifts', 'estimated', 'from', 'broadband', 'photometry', 'photozs', 'for', 'a', 'gaussian', 'distribution', 'for', 'the', 'cluster', 'photoz', 'errors', 'and', 'a', 'high', 'cluster', 'yield', 'cosmology', 'defined', 'by', 'the', 'wmap', '1', 'year', 'results', 'the', 'photoz', 'bias', 'and', 'scatter', 'needs', 'to', 'be', 'known', 'better', 'than', '0003', 'and', '003', 'respectively', 'in', 'order', 'not', 'to', 'degrade', 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709.2872 | A Macroscopic Description of Coherent Geo-Magnetic Radiation from Cosmic
Ray Air Showers | We have developed a macroscopic description of coherent electro-magnetic
radiation from air showers initiated by ultra-high energy cosmic rays due to
the presence of the geo-magnetic field. This description offers a simple and
direct insight in the relation between the properties of the air shower and the
time-structure of the radio pulse.
| astro-ph | we have developed a macroscopic description of coherent electromagnetic radiation from air showers initiated by ultrahigh energy cosmic rays due to the presence of the geomagnetic field this description offers a simple and direct insight in the relation between the properties of the air shower and the timestructure of the radio pulse | [['we', 'have', 'developed', 'a', 'macroscopic', 'description', 'of', 'coherent', 'electromagnetic', 'radiation', 'from', 'air', 'showers', 'initiated', 'by', 'ultrahigh', 'energy', 'cosmic', 'rays', 'due', 'to', 'the', 'presence', 'of', 'the', 'geomagnetic', 'field', 'this', 'description', 'offers', 'a', 'simple', 'and', 'direct', 'insight', 'in', 'the', 'relation', 'between', 'the', 'properties', 'of', 'the', 'air', 'shower', 'and', 'the', 'timestructure', 'of', 'the', 'radio', 'pulse']] | [-0.11241183542789748, 0.24360228080947238, -0.12796976984156153, 0.09429874357794268, -0.058581765579919405, 0.07655856512988415, -0.016051030431229334, 0.3991006686208913, -0.22085251168419534, -0.37826891315097994, -0.025126158172497526, -0.2536377744937244, -0.08851975676281235, 0.20943950852737403, 0.039863722246641725, 0.009034321876242757, 0.07293533200684649, -0.041984387458517, -0.0031701572543869796, -0.08081652022575816, 0.24074487610218617, 0.22028977753451237, 0.3161852441083353, 0.1435011899134574, 0.1589687210865892, 0.0366250850000562, -0.10403761686757207, -0.018718322183793552, -0.1007437047127706, 0.13532847143226087, 0.20763326357476986, 0.1213893591059157, 0.18096487329771313, -0.5056507669102687, -0.2611007311811241, 0.0975868241646542, 0.0538619002735896, 0.06707570067821787, -0.07542520886860214, -0.3084304012501469, 0.07424187361119458, -0.2075211121342503, -0.15625115401613024, 0.060569806185622625, -0.08350497134737313, 0.041815875187659494, -0.1856351295987574, 0.02135286901074533, 0.027410535011977818, 0.08587215142324567, -0.06035722742000452, -0.01605067101235573, 0.03562417591008572, 0.13055633993532795, 0.12884265627676192, 0.02595325916683158, 0.14321866401363736, -0.16486631136369675, -0.09383678374489626, 0.4181782300225817, -0.05901144394794336, -0.07685547793964641, 0.20183883188740134, -0.17748780230669162, -0.051281899043645426, 0.25172812891944957, 0.16456480518144628, 0.03656029122738311, -0.19332341545333082, 0.07320307800322413, 0.014225185974142872, 0.10739294142247392, 0.10630985489115119, 0.056517839503402896, 0.2659097065289433, 0.15616284006346876, 0.05644427249297643, 0.1507981861101983, -0.11991803656117274, 0.03699466718647342, -0.2809197729668365, -0.13715065661101386, -0.1595546268643095, 0.13502362914956534, -0.06891930721058788, -0.1851254531289809, 0.474949526708, 0.10629953355349314, 0.11252589511702983, -0.03252305523850597, 0.3457160794104521, 0.053674862057400435, -0.04052430458474331, 0.05786174528587323, 0.32212897354307085, 0.21851801543156257, 0.13106146943755448, -0.25274577274327525, 0.041704054053228065, 0.03651178132097881] |
709.2873 | Excitation and photoionization processes involving the bound $ns$
electrons | We have considered the processes of excitation and ionization of light
multicharged ions by impact of high-energy particles, which proceed with
participation of the $ns$ electrons. The screening corrections to the energy
levels and photoionization cross sections are evaluated analytically within the
framework of the non-relativistic perturbation theory with respect to the
electron-electron interaction. The universal scalings for the excitation and
ionization cross sections are studied for arbitrary principal quantum numbers
$n$.
| physics.atom-ph | we have considered the processes of excitation and ionization of light multicharged ions by impact of highenergy particles which proceed with participation of the ns electrons the screening corrections to the energy levels and photoionization cross sections are evaluated analytically within the framework of the nonrelativistic perturbation theory with respect to the electronelectron interaction the universal scalings for the excitation and ionization cross sections are studied for arbitrary principal quantum numbers n | [['we', 'have', 'considered', 'the', 'processes', 'of', 'excitation', 'and', 'ionization', 'of', 'light', 'multicharged', 'ions', 'by', 'impact', 'of', 'highenergy', 'particles', 'which', 'proceed', 'with', 'participation', 'of', 'the', 'ns', 'electrons', 'the', 'screening', 'corrections', 'to', 'the', 'energy', 'levels', 'and', 'photoionization', 'cross', 'sections', 'are', 'evaluated', 'analytically', 'within', 'the', 'framework', 'of', 'the', 'nonrelativistic', 'perturbation', 'theory', 'with', 'respect', 'to', 'the', 'electronelectron', 'interaction', 'the', 'universal', 'scalings', 'for', 'the', 'excitation', 'and', 'ionization', 'cross', 'sections', 'are', 'studied', 'for', 'arbitrary', 'principal', 'quantum', 'numbers', 'n']] | [-0.08449273430030896, 0.20833477085559732, -0.04709686734390238, 0.13256346698229513, 0.08968984048503141, -0.11087064331190453, -0.002792569328448735, 0.3471768289907939, -0.19980426634558374, -0.3132348964613306, -0.07216975998987134, -0.3290738421540785, 0.015581788472546678, 0.14491614888215232, 0.12431334714185344, 0.06756811416966634, 0.015143245801381353, 0.010205178676793972, -0.016243169459307358, -0.2233881330014103, 0.3508558098433746, 0.11024970467325249, 0.21626779990684655, 0.16241357212937954, 0.044049178871015705, 0.040466418072658904, 0.0040237232072589295, -0.009150315742267089, -0.12988337556210658, 0.11736525138258003, 0.2463619086459706, 0.01261531603975325, 0.17990941680424535, -0.4566085324105289, -0.1829655264951321, 0.03092766069393191, 0.1629274064907804, 0.1133631036613628, -0.02734751954105579, -0.2720030178186587, 0.0002184362448234525, -0.2116283745918837, -0.13706078915210027, -0.05959899369109836, 0.04837893772249421, 0.07725938259116244, -0.29040630296286607, 0.05922840647528776, -0.013064249392805828, 0.007625071694039636, -0.08470079138512826, -0.10660153442424619, -0.052809777566128306, 0.0732735232450068, 0.08512810887234284, -0.061719903411156136, 0.22571562826892155, -0.12390536905473305, -0.13945641616980234, 0.4010333378488819, -0.043793606552450605, -0.1730423363753491, 0.14010506810154766, -0.18468189902422535, -0.08293731973390095, 0.22880486815443468, 0.17850933731986313, 0.1348430490793867, -0.10516288467786378, 0.12089907342791169, 0.04597147291577938, 0.09960885119572696, 0.08730341647040202, 0.06357177669027199, 0.1627539601500353, 0.11870009915502225, -0.06112107015926287, 0.04795338689453072, -0.12501248978595766, -0.11721197750173612, -0.3489914699586936, -0.12790816771383914, -0.10390323071947528, 0.059310865957134716, -0.05062582149083836, -0.15437425344458056, 0.35728696284220657, 0.10026812674995098, 0.19541460106201056, 0.009058967505956793, 0.3139162983538376, 0.2011867164271987, 0.019931387052767806, 0.044137491831659444, 0.3063624176300234, 0.2246963755622144, 0.0440227395350424, -0.2909656589973666, 0.04050749035215833, 0.057173262337326176] |
709.2874 | New Insights into Traffic Dynamics: A Weighted Probabilistic Cellular
Automaton Model | From the macroscopic viewpoint for describing the acceleration behavior of
drivers, this letter presents a weighted probabilistic cellular automaton model
(the WP model, for short) by introducing a kind of random acceleration
probabilistic distribution function. The fundamental diagrams, the
spatio-temporal pattern are analyzed in detail. It is shown that the presented
model leads to the results consistent with the empirical data rather well,
nonlinear velocity-density relationship exists in lower density region, and a
new kind of traffic phenomenon called neo-synchronized flow is resulted.
Furthermore, we give the criterion for distinguishing the high-speed and
low-speed neo-synchronized flows and clarify the mechanism of this kind of
traffic phenomena. In addition, the result that the time evolution of
distribution of headways is displayed as a normal distribution further
validates the reasonability of the neo-synchronized flow. These findings
suggest that the diversity and randomicity of drivers and vehicles has indeed
remarkable effect on traffic dynamics.
| physics.soc-ph physics.data-an | from the macroscopic viewpoint for describing the acceleration behavior of drivers this letter presents a weighted probabilistic cellular automaton model the wp model for short by introducing a kind of random acceleration probabilistic distribution function the fundamental diagrams the spatiotemporal pattern are analyzed in detail it is shown that the presented model leads to the results consistent with the empirical data rather well nonlinear velocitydensity relationship exists in lower density region and a new kind of traffic phenomenon called neosynchronized flow is resulted furthermore we give the criterion for distinguishing the highspeed and lowspeed neosynchronized flows and clarify the mechanism of this kind of traffic phenomena in addition the result that the time evolution of distribution of headways is displayed as a normal distribution further validates the reasonability of the neosynchronized flow these findings suggest that the diversity and randomicity of drivers and vehicles has indeed remarkable effect on traffic dynamics | [['from', 'the', 'macroscopic', 'viewpoint', 'for', 'describing', 'the', 'acceleration', 'behavior', 'of', 'drivers', 'this', 'letter', 'presents', 'a', 'weighted', 'probabilistic', 'cellular', 'automaton', 'model', 'the', 'wp', 'model', 'for', 'short', 'by', 'introducing', 'a', 'kind', 'of', 'random', 'acceleration', 'probabilistic', 'distribution', 'function', 'the', 'fundamental', 'diagrams', 'the', 'spatiotemporal', 'pattern', 'are', 'analyzed', 'in', 'detail', 'it', 'is', 'shown', 'that', 'the', 'presented', 'model', 'leads', 'to', 'the', 'results', 'consistent', 'with', 'the', 'empirical', 'data', 'rather', 'well', 'nonlinear', 'velocitydensity', 'relationship', 'exists', 'in', 'lower', 'density', 'region', 'and', 'a', 'new', 'kind', 'of', 'traffic', 'phenomenon', 'called', 'neosynchronized', 'flow', 'is', 'resulted', 'furthermore', 'we', 'give', 'the', 'criterion', 'for', 'distinguishing', 'the', 'highspeed', 'and', 'lowspeed', 'neosynchronized', 'flows', 'and', 'clarify', 'the', 'mechanism', 'of', 'this', 'kind', 'of', 'traffic', 'phenomena', 'in', 'addition', 'the', 'result', 'that', 'the', 'time', 'evolution', 'of', 'distribution', 'of', 'headways', 'is', 'displayed', 'as', 'a', 'normal', 'distribution', 'further', 'validates', 'the', 'reasonability', 'of', 'the', 'neosynchronized', 'flow', 'these', 'findings', 'suggest', 'that', 'the', 'diversity', 'and', 'randomicity', 'of', 'drivers', 'and', 'vehicles', 'has', 'indeed', 'remarkable', 'effect', 'on', 'traffic', 'dynamics']] | [-0.14778772317314834, 0.1200204719403845, -0.1316845500965091, 0.09802801107034852, -0.05988712442903132, -0.0917871602015286, 0.059898447426535585, 0.33962494892296413, -0.2762732462316061, -0.28715454847459365, 0.058869694064321944, -0.24121047208542065, -0.20917071202547838, 0.20436962322171603, -0.0851755348168736, 0.0424582921616141, 0.04709736051790367, 0.022230087717785344, -0.0019785807952161457, -0.17604026622570657, 0.30696620610203373, 0.056284289872805766, 0.33529379814616495, 0.0574739013385299, 0.11046941265758144, -0.024816328234082422, -0.055343584650942426, 0.03390146782683418, -0.13450153062149184, 0.10265876768489941, 0.1935676938749307, 0.1480873383187291, 0.24442190464758715, -0.409325856629093, -0.2746230932415173, 0.07879238696892234, 0.13482969342453394, 0.07615706874119328, -0.07256575314627207, -0.2545860703134083, 0.08151232321486063, -0.1717528212593486, -0.15997381871627853, -0.03364226118575116, 0.028070781025295425, 0.057894459742102895, -0.25801055880867885, 0.09160708327968882, 0.09244988690090322, 0.07051773614073573, -0.043477598676420995, -0.04910028671278365, -0.011569005548213886, 0.12697581969361926, 0.07382654918539677, 0.0018431770627615072, 0.07454953273347369, -0.14479668093968603, -0.10671888379571305, 0.3910520893478433, -0.04132338096726908, -0.16293376952743957, 0.1805042224652473, -0.12863033518367847, -0.11016046308252393, 0.10758409356784741, 0.16841074372549228, 0.0615891056745899, -0.1653615871987102, 0.006404748388075744, -0.07397669743953136, 0.1288463217661167, 0.02558045523759249, 0.02250134585261814, 0.17758307218650318, 0.21748718345115295, 0.054941912687426764, 0.13396955929297202, -0.09752156711121811, -0.1406898552625878, -0.3089726778820453, -0.14467799554375427, -0.14064575165251134, 0.0100570262320315, -0.09635219959546396, -0.13142904029316455, 0.415043576972078, 0.15621482717283441, 0.20399523561643837, 0.06940078391810718, 0.27568272173956704, 0.13637315405961373, 0.012323332916550486, 0.05269823565351351, 0.20276322207931702, 0.10847800067126356, 0.1548111995894906, -0.21555955506111835, 0.14283069439343368, 0.07198315523780685] |
709.2875 | Theoretical coarse-graining approach to bridge length scales in diblock
copolymer liquids | A microscopic theory for coarse graining diblock copolymers into dumbbells of
interacting soft colloidal particles has been developed, based on the solution
of liquid-state integral equations. The Ornstein-Zernike equation is solved to
provide a mesoscopic description of the diblock copolymer system at the level
of block centers of mass, and at the level of polymer centers of mass.
Analytical forms of the total correlation functions for block-block,
block-monomer, and center-of-mass pairs are obtained for a liquid of
structurally symmetric diblock copolymers as a function of temperature,
density, chain length, and chain composition. The theory correctly predicts
thermodynamically-driven segregation of diblocks into microdomains as a
function of temperature ($chi$ parameter). The coarse-grained description
contains contributions from density and concentration fluctuations, with the
latter becoming dominant as temperature decreases. Numerical calculations for
the block coarse-grained total correlation functions, as a function of the
proximity of the system to its phase transition, are presented. Comparison with
united atom molecular dynamics simulations are carried out in the athermal
regime, where simulations and theory quantitatively agree with no need of
adjustable parameters.
| cond-mat.soft cond-mat.stat-mech | a microscopic theory for coarse graining diblock copolymers into dumbbells of interacting soft colloidal particles has been developed based on the solution of liquidstate integral equations the ornsteinzernike equation is solved to provide a mesoscopic description of the diblock copolymer system at the level of block centers of mass and at the level of polymer centers of mass analytical forms of the total correlation functions for blockblock blockmonomer and centerofmass pairs are obtained for a liquid of structurally symmetric diblock copolymers as a function of temperature density chain length and chain composition the theory correctly predicts thermodynamicallydriven segregation of diblocks into microdomains as a function of temperature chi parameter the coarsegrained description contains contributions from density and concentration fluctuations with the latter becoming dominant as temperature decreases numerical calculations for the block coarsegrained total correlation functions as a function of the proximity of the system to its phase transition are presented comparison with united atom molecular dynamics simulations are carried out in the athermal regime where simulations and theory quantitatively agree with no need of adjustable parameters | [['a', 'microscopic', 'theory', 'for', 'coarse', 'graining', 'diblock', 'copolymers', 'into', 'dumbbells', 'of', 'interacting', 'soft', 'colloidal', 'particles', 'has', 'been', 'developed', 'based', 'on', 'the', 'solution', 'of', 'liquidstate', 'integral', 'equations', 'the', 'ornsteinzernike', 'equation', 'is', 'solved', 'to', 'provide', 'a', 'mesoscopic', 'description', 'of', 'the', 'diblock', 'copolymer', 'system', 'at', 'the', 'level', 'of', 'block', 'centers', 'of', 'mass', 'and', 'at', 'the', 'level', 'of', 'polymer', 'centers', 'of', 'mass', 'analytical', 'forms', 'of', 'the', 'total', 'correlation', 'functions', 'for', 'blockblock', 'blockmonomer', 'and', 'centerofmass', 'pairs', 'are', 'obtained', 'for', 'a', 'liquid', 'of', 'structurally', 'symmetric', 'diblock', 'copolymers', 'as', 'a', 'function', 'of', 'temperature', 'density', 'chain', 'length', 'and', 'chain', 'composition', 'the', 'theory', 'correctly', 'predicts', 'thermodynamicallydriven', 'segregation', 'of', 'diblocks', 'into', 'microdomains', 'as', 'a', 'function', 'of', 'temperature', 'chi', 'parameter', 'the', 'coarsegrained', 'description', 'contains', 'contributions', 'from', 'density', 'and', 'concentration', 'fluctuations', 'with', 'the', 'latter', 'becoming', 'dominant', 'as', 'temperature', 'decreases', 'numerical', 'calculations', 'for', 'the', 'block', 'coarsegrained', 'total', 'correlation', 'functions', 'as', 'a', 'function', 'of', 'the', 'proximity', 'of', 'the', 'system', 'to', 'its', 'phase', 'transition', 'are', 'presented', 'comparison', 'with', 'united', 'atom', 'molecular', 'dynamics', 'simulations', 'are', 'carried', 'out', 'in', 'the', 'athermal', 'regime', 'where', 'simulations', 'and', 'theory', 'quantitatively', 'agree', 'with', 'no', 'need', 'of', 'adjustable', 'parameters']] | [-0.12187890390998551, 0.17418892017000223, -0.1202079242461228, 0.02425523888652346, 0.05055725483356842, -0.131479556403522, 0.0005399913347459265, 0.3339882122831685, -0.23940452502242157, -0.28768754498767, 0.026444724848094795, -0.311654865188258, -0.10910247559260045, 0.11446180718684835, 0.09285215816327504, 0.06550783196697012, 0.021491174677919063, 0.009688729331329731, -0.098071487303158, -0.14872485662145274, 0.2650680711517842, 0.07617310545141144, 0.26218369767735045, 0.05227858062301363, 0.12484609069302678, 0.041828280539983616, 0.04489351913465985, 0.05288606871983835, -0.19432455290907197, 0.059286173534180434, 0.24704120331576893, 0.003324571471395237, 0.21268973291718535, -0.4569788065872022, -0.230341176318803, 0.0349780914945794, 0.1487462683341333, 0.11233185219977583, -0.04817753759678453, -0.23903597374047553, 0.04428755505143532, 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709.2876 | The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak
coupling | We compute the static potential associated to the locally 1/2 BPS Wilson loop
in ${\cal N}$=4 supersymmetric Yang-Mills theory with ${\cal O}(\lambda^2/r)$
accuracy. We also resum the leading logarithms, of ${\cal
O}(\lambda^{n+1}\ln^n\lambda/r)$, and show the structure of the renormalization
group equation at next-to-leading order in the multipole expansion. In order to
obtain these results it is crucial the use of an effective theory for the
ultrasoft degrees of freedom. We develop this theory up to next-to-leading
order in the multipole expansion. Using the same formalism we also compute the
leading logarithms, of ${\cal O}(\lambda^{n+3}\ln^n\lambda/r)$, of the static
potential associated to an ordinary Wilson loop in the same theory.
| hep-th hep-ph | we compute the static potential associated to the locally 12 bps wilson loop in cal n4 supersymmetric yangmills theory with cal olambda2r accuracy we also resum the leading logarithms of cal olambdan1lnnlambdar and show the structure of the renormalization group equation at nexttoleading order in the multipole expansion in order to obtain these results it is crucial the use of an effective theory for the ultrasoft degrees of freedom we develop this theory up to nexttoleading order in the multipole expansion using the same formalism we also compute the leading logarithms of cal olambdan3lnnlambdar of the static potential associated to an ordinary wilson loop in the same theory | [['we', 'compute', 'the', 'static', 'potential', 'associated', 'to', 'the', 'locally', '12', 'bps', 'wilson', 'loop', 'in', 'cal', 'n4', 'supersymmetric', 'yangmills', 'theory', 'with', 'cal', 'olambda2r', 'accuracy', 'we', 'also', 'resum', 'the', 'leading', 'logarithms', 'of', 'cal', 'olambdan1lnnlambdar', 'and', 'show', 'the', 'structure', 'of', 'the', 'renormalization', 'group', 'equation', 'at', 'nexttoleading', 'order', 'in', 'the', 'multipole', 'expansion', 'in', 'order', 'to', 'obtain', 'these', 'results', 'it', 'is', 'crucial', 'the', 'use', 'of', 'an', 'effective', 'theory', 'for', 'the', 'ultrasoft', 'degrees', 'of', 'freedom', 'we', 'develop', 'this', 'theory', 'up', 'to', 'nexttoleading', 'order', 'in', 'the', 'multipole', 'expansion', 'using', 'the', 'same', 'formalism', 'we', 'also', 'compute', 'the', 'leading', 'logarithms', 'of', 'cal', 'olambdan3lnnlambdar', 'of', 'the', 'static', 'potential', 'associated', 'to', 'an', 'ordinary', 'wilson', 'loop', 'in', 'the', 'same', 'theory']] | [-0.12275448167208759, 0.12854848655544976, -0.09200187592013251, 0.0728261471326862, -0.03223857860125247, -0.026553575987262386, -0.02434623280673155, 0.3145212377465907, -0.19261788487256992, -0.2655731370229097, 0.04716589781788311, -0.3186631916889123, -0.13687247079575346, 0.0567474701220081, 0.01442627144001779, 0.07983718555243242, -0.044400275942115555, 0.1169611196122354, -0.12389565981214955, -0.25671645082433575, 0.2912180668718758, 0.03981137110718659, 0.19350288038452465, 0.10741940478217743, 0.06935894007439769, 0.005546308778935955, -0.02914737109094858, 0.010765867001776184, -0.11311261267623021, 0.1684826763768104, 0.23668768767577905, -0.008019733978878884, 0.1604364602538269, -0.423354477076126, -0.13158208072362912, 0.04207416297424407, 0.1838367553782605, 0.13684597258411701, 0.05497568354365372, -0.20875853673510608, 0.11158464920840093, -0.27408449955816777, -0.234356259403839, -0.1794164422278603, -0.006729333271228132, -0.09493381096316235, -0.297046366563466, 0.06343142069416076, -0.039107775413209485, -0.005465257611303102, 0.00775004696278345, -0.06757154005047467, -0.017978932770589987, 0.11939086739772133, 0.07684796653643605, 0.07373058974210706, 0.06152010075747967, -0.20780577638097816, -0.1610460702950756, 0.40582416838123686, -0.08604305272012772, -0.1638014218991711, 0.09172740244262276, -0.2151506516905058, -0.18176911997919282, 0.13005776805179525, 0.18522014307035578, 0.2090006657155408, -0.10829601788150502, 0.212281240220736, 0.032679471302600134, 0.15036156443612916, 0.09065970452058883, 0.02499160972379503, 0.13125910063584645, 0.06607412606300343, 0.02315051920623297, 0.14528295940364755, -0.03283547407038333, -0.1450979358472285, -0.43732267236780553, -0.1142885620703358, -0.06866155016413401, 0.0623106148360031, -0.1878331335747914, -0.2191434129318666, 0.3881558648842786, 0.19019273676399495, 0.1738302555068263, 0.06405484768606368, 0.2371291875484444, 0.1915487312756124, 0.10527513087505386, 0.10153075622039892, 0.260854751528019, 0.1843139226947512, 0.0523456919051352, -0.3204899729406905, -0.12211427134239958, 0.19636101561066296] |
709.2877 | A dispersive approach to Sudakov resummation | We present a general all-order formulation of Sudakov resummation in QCD in
terms of dispersion integrals. We show that the Sudakov exponent can be written
as a dispersion integral over spectral density functions, weighted by
characteristic functions that encode information on power corrections. The
characteristic functions are defined and computed analytically in the
large-beta_0 limit. The spectral density functions encapsulate the non-Abelian
nature of the interaction. They are defined by the time-like discontinuity of
specific effective charges (couplings) that are directly related to the
familiar Sudakov anomalous dimensions and can be computed order-by-order in
perturbation theory. The dispersive approach provides a realization of Dressed
Gluon Exponentiation, where Sudakov resummation is enhanced by an internal
resummation of running-coupling corrections. We establish all-order relations
between the scheme-invariant Borel formulation and the dispersive one, and
address the difference in the treatment of power corrections. We find that in
the context of Sudakov resummation the infrared-finite-coupling hypothesis is
of special interest because the relevant coupling can be uniquely identified to
any order, and may have an infrared fixed point already at the perturbative
level. We prove that this infrared limit is universal: it is determined by the
cusp anomalous dimension. To illustrate the formalism we discuss a few examples
including B-meson decay spectra, deep inelastic structure functions and
Drell-Yan or Higgs production.
| hep-ph | we present a general allorder formulation of sudakov resummation in qcd in terms of dispersion integrals we show that the sudakov exponent can be written as a dispersion integral over spectral density functions weighted by characteristic functions that encode information on power corrections the characteristic functions are defined and computed analytically in the largebeta_0 limit the spectral density functions encapsulate the nonabelian nature of the interaction they are defined by the timelike discontinuity of specific effective charges couplings that are directly related to the familiar sudakov anomalous dimensions and can be computed orderbyorder in perturbation theory the dispersive approach provides a realization of dressed gluon exponentiation where sudakov resummation is enhanced by an internal resummation of runningcoupling corrections we establish allorder relations between the schemeinvariant borel formulation and the dispersive one and address the difference in the treatment of power corrections we find that in the context of sudakov resummation the infraredfinitecoupling hypothesis is of special interest because the relevant coupling can be uniquely identified to any order and may have an infrared fixed point already at the perturbative level we prove that this infrared limit is universal it is determined by the cusp anomalous dimension to illustrate the formalism we discuss a few examples including bmeson decay spectra deep inelastic structure functions and drellyan or higgs production | [['we', 'present', 'a', 'general', 'allorder', 'formulation', 'of', 'sudakov', 'resummation', 'in', 'qcd', 'in', 'terms', 'of', 'dispersion', 'integrals', 'we', 'show', 'that', 'the', 'sudakov', 'exponent', 'can', 'be', 'written', 'as', 'a', 'dispersion', 'integral', 'over', 'spectral', 'density', 'functions', 'weighted', 'by', 'characteristic', 'functions', 'that', 'encode', 'information', 'on', 'power', 'corrections', 'the', 'characteristic', 'functions', 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709.2878 | Singular limits for the bi-laplacian operator with exponential
nonlinearity in $\R^4$ | Let $\Omega$ be a bounded smooth domain in $\mathbb{R}^{4}$ such that for
some integer $d\geq1$ its $d$-th singular cohomology group with coefficients in
some field is not zero, then problem
{\Delta^{2}u-\rho^{4}k(x)e^{u}=0 & \hbox{in}\Omega,
u=\Delta u=0 & \hbox{on}\partial\Omega,
has a solution blowing-up, as $\rho\to0$, at $m$ points of $\Omega$, for any
given number $m$.
| math.AP | let omega be a bounded smooth domain in mathbbr4 such that for some integer dgeq1 its dth singular cohomology group with coefficients in some field is not zero then problem delta2urho4kxeu0 hboxinomega udelta u0 hboxonpartialomega has a solution blowingup as rhoto0 at m points of omega for any given number m | [['let', 'omega', 'be', 'a', 'bounded', 'smooth', 'domain', 'in', 'mathbbr4', 'such', 'that', 'for', 'some', 'integer', 'dgeq1', 'its', 'dth', 'singular', 'cohomology', 'group', 'with', 'coefficients', 'in', 'some', 'field', 'is', 'not', 'zero', 'then', 'problem', 'delta2urho4kxeu0', 'hboxinomega', 'udelta', 'u0', 'hboxonpartialomega', 'has', 'a', 'solution', 'blowingup', 'as', 'rhoto0', 'at', 'm', 'points', 'of', 'omega', 'for', 'any', 'given', 'number', 'm']] | [-0.2732355713996352, 0.06267609175446691, -0.05244876298939391, -0.0500524410745129, -0.15385514531968808, -0.23022047632696982, -0.025813815564069212, 0.2889204406160481, -0.3354372821216072, -0.14710028444853973, 0.1732733802613327, -0.34801852231731223, -0.08956273704558154, 0.16783219270351135, -0.1195154725573957, 0.03266779847362326, 0.008967581262089769, 0.1560194041266353, -0.05956453276437004, -0.23859322416995252, 0.378587755165538, -0.20301423677984548, 0.10041990563064357, 0.06912613268561509, 0.1223332769194694, -0.04737408712924439, 0.13754213895002493, 0.0286812928020574, -0.20121818625119312, -0.022688731914671252, 0.32552226663244016, 0.04799532618525685, 0.3216608739933189, -0.3720895491768511, -0.18487058836510595, 0.2724787981002306, 0.17403731449526183, -0.07036405919613886, -0.0015370863874689961, -0.28797056387197606, 0.2072935433944269, -0.07726991157598641, -0.19435315558268706, -0.04072881210595369, 0.14843571378269746, 0.03204958657829129, -0.3388840799904143, 0.012894246366103085, 0.05752284148213815, 0.08930194123210955, -0.08974924814003539, -0.1992628301246738, -0.06947186719436123, 0.029131616940911934, -0.018330662021869604, 0.21334020109200963, 0.02073125936547104, -0.08975890024128008, -0.04148760190879812, 0.36394346764368213, -0.12317951517749806, -0.3493802926826234, 0.04699098883310751, -0.23709838232975833, -0.12312145920812476, 0.12074790184138989, 0.08210194497654329, 0.17638326717578634, -0.0085041202908876, 0.3054891303181648, -0.12129008912538387, 0.12094458264811915, 0.15781142268025752, -0.026519814154551347, 0.09103965386748314, 0.07175515440045571, 0.1701686931857174, 0.04520119504043262, 0.022443323462669338, 0.06145918148816848, -0.3936511916963726, -0.11958876843279113, -0.22857210346098458, 0.18939910341102906, -0.14241194105422011, -0.1799615917689338, 0.27386811645986625, -0.0021263388346652594, 0.22371046819096926, 0.10833137404477718, 0.20682301307667275, 0.13317492735995057, -0.021113509321775362, 0.12058043818236613, -0.0019776252922792063, 0.13521933182598833, 0.05978645738784452, -0.17792467901730263, -0.0333699499523001, 0.16623502411987698] |
709.2879 | Design Considerations for a Ground-based Transit Search for Habitable
Planets Orbiting M dwarfs | By targeting nearby M dwarfs, a transit search using modest equipment is
capable of discovering planets as small as 2 Earth radii in the habitable zones
of their host stars. The MEarth Project, a future transit search, aims to
employ a network of ground-based robotic telescopes to monitor M dwarfs in the
northern hemisphere with sufficient precision and cadence to detect such
planets. Here we investigate the design requirements for the MEarth Project. We
evaluate the optimal bandpass, and the necessary field of view, telescope
aperture, and telescope time allocation on a star-by-star basis, as is possible
for the well-characterized nearby M dwarfs. Through these considerations, 1,976
late M dwarfs (R < 0.33 Rsun) emerge as favorable targets for transit
monitoring. Based on an observational cadence and on total telescope time
allocation tailored to recover 90% of transit signals from planets in habitable
zone orbits, we find that a network of ten 30 cm telescopes could survey these
1,976 M dwarfs in less than 3 years. A null result from this survey would set
an upper limit (at 99% confidence) of 17% for the rate of occurrence of planets
larger than 2 Earth radii in the habitable zones of late M dwarfs, and even
stronger constraints for planets lying closer than the habitable zone. If the
true occurrence rate of habitable planets is 10%, the expected yield would be
2.6 planets.
| astro-ph | by targeting nearby m dwarfs a transit search using modest equipment is capable of discovering planets as small as 2 earth radii in the habitable zones of their host stars the mearth project a future transit search aims to employ a network of groundbased robotic telescopes to monitor m dwarfs in the northern hemisphere with sufficient precision and cadence to detect such planets here we investigate the design requirements for the mearth project we evaluate the optimal bandpass and the necessary field of view telescope aperture and telescope time allocation on a starbystar basis as is possible for the wellcharacterized nearby m dwarfs through these considerations 1976 late m dwarfs r 033 rsun emerge as favorable targets for transit monitoring based on an observational cadence and on total telescope time allocation tailored to recover 90 of transit signals from planets in habitable zone orbits we find that a network of ten 30 cm telescopes could survey these 1976 m dwarfs in less than 3 years a null result from this survey would set an upper limit at 99 confidence of 17 for the rate of occurrence of planets larger than 2 earth radii in the habitable zones of late m dwarfs and even stronger constraints for planets lying closer than the habitable zone if the true occurrence rate of habitable planets is 10 the expected yield would be 26 planets | [['by', 'targeting', 'nearby', 'm', 'dwarfs', 'a', 'transit', 'search', 'using', 'modest', 'equipment', 'is', 'capable', 'of', 'discovering', 'planets', 'as', 'small', 'as', '2', 'earth', 'radii', 'in', 'the', 'habitable', 'zones', 'of', 'their', 'host', 'stars', 'the', 'mearth', 'project', 'a', 'future', 'transit', 'search', 'aims', 'to', 'employ', 'a', 'network', 'of', 'groundbased', 'robotic', 'telescopes', 'to', 'monitor', 'm', 'dwarfs', 'in', 'the', 'northern', 'hemisphere', 'with', 'sufficient', 'precision', 'and', 'cadence', 'to', 'detect', 'such', 'planets', 'here', 'we', 'investigate', 'the', 'design', 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709.288 | Freshly Formed Dust in the Cassiopeia A Supernova Remnant as Revealed by
the Spitzer Space Telescope | We performed Spitzer Infrared Spectrograph mapping observations covering
nearly the entire extent of the Cassiopeia A supernova remnant (SNR), producing
mid-infrared (5.5-35 micron) spectra every 5-10". Gas lines of Ar, Ne, O, Si, S
and Fe, and dust continua were strong for most positions. We identify three
distinct ejecta dust populations based on their continuum shapes. The dominant
dust continuum shape exhibits a strong peak at 21 micron. A line-free map of 21
micron-peak dust made from the 19-23 micron range closely resembles the [Ar
II], [O IV], and [Ne II] ejecta-line maps implying that dust is freshly formed
in the ejecta. Spectral fitting implies the presence of SiO2, Mg
protosilicates, and FeO grains in these regions. The second dust type exhibits
a rising continuum up to 21 micron and then flattens thereafter. This ``weak 21
micron'' dust is likely composed of Al2O3 and C grains. The third dust
continuum shape is featureless with a gently rising spectrum and is likely
composed of MgSiO3 and either Al2O3 or Fe grains. Using the least massive
composition for each of the three dust classes yields a total mass of 0.02
Msun. Using the most-massive composition yields a total mass of 0.054 Msun. The
primary uncertainty in the total dust mass stems from the selection of the dust
composition necessary for fitting the featureless dust as well as 70 micron
flux. The freshly formed dust mass derived from Cas A is sufficient from SNe to
explain the lower limit on the dust masses in high redshift galaxies.
| astro-ph | we performed spitzer infrared spectrograph mapping observations covering nearly the entire extent of the cassiopeia a supernova remnant snr producing midinfrared 5535 micron spectra every 510 gas lines of ar ne o si s and fe and dust continua were strong for most positions we identify three distinct ejecta dust populations based on their continuum shapes the dominant dust continuum shape exhibits a strong peak at 21 micron a linefree map of 21 micronpeak dust made from the 1923 micron range closely resembles the ar ii o iv and ne ii ejectaline maps implying that dust is freshly formed in the ejecta spectral fitting implies the presence of sio2 mg protosilicates and feo grains in these regions the second dust type exhibits a rising continuum up to 21 micron and then flattens thereafter this weak 21 micron dust is likely composed of al2o3 and c grains the third dust continuum shape is featureless with a gently rising spectrum and is likely composed of mgsio3 and either al2o3 or fe grains using the least massive composition for each of the three dust classes yields a total mass of 002 msun using the mostmassive composition yields a total mass of 0054 msun the primary uncertainty in the total dust mass stems from the selection of the dust composition necessary for fitting the featureless dust as well as 70 micron flux the freshly formed dust mass derived from cas a is sufficient from sne to explain the lower limit on the dust masses in high redshift galaxies | [['we', 'performed', 'spitzer', 'infrared', 'spectrograph', 'mapping', 'observations', 'covering', 'nearly', 'the', 'entire', 'extent', 'of', 'the', 'cassiopeia', 'a', 'supernova', 'remnant', 'snr', 'producing', 'midinfrared', '5535', 'micron', 'spectra', 'every', '510', 'gas', 'lines', 'of', 'ar', 'ne', 'o', 'si', 's', 'and', 'fe', 'and', 'dust', 'continua', 'were', 'strong', 'for', 'most', 'positions', 'we', 'identify', 'three', 'distinct', 'ejecta', 'dust', 'populations', 'based', 'on', 'their', 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709.2881 | Automating dipole subtraction for QCD NLO calculations | In this publication the construction of an automatic algorithm to subtract
infrared divergences in real QCD corrections through the Catani-Seymour dipole
subtraction method [arXiv:hep-ph/9605323] is reported. The resulting computer
code has been implemented in the matrix element generator AMEGIC++
[arXiv:hep-ph/0109036]. This will allow for the automatic generation of dipole
subtraction terms and their integrals over the one-parton emission phase space
for any given process. If the virtual matrix element is provided as well, this
then directly leads to an NLO QCD parton level event generator.
| hep-ph | in this publication the construction of an automatic algorithm to subtract infrared divergences in real qcd corrections through the cataniseymour dipole subtraction method arxivhepph9605323 is reported the resulting computer code has been implemented in the matrix element generator amegic arxivhepph0109036 this will allow for the automatic generation of dipole subtraction terms and their integrals over the oneparton emission phase space for any given process if the virtual matrix element is provided as well this then directly leads to an nlo qcd parton level event generator | [['in', 'this', 'publication', 'the', 'construction', 'of', 'an', 'automatic', 'algorithm', 'to', 'subtract', 'infrared', 'divergences', 'in', 'real', 'qcd', 'corrections', 'through', 'the', 'cataniseymour', 'dipole', 'subtraction', 'method', 'arxivhepph9605323', 'is', 'reported', 'the', 'resulting', 'computer', 'code', 'has', 'been', 'implemented', 'in', 'the', 'matrix', 'element', 'generator', 'amegic', 'arxivhepph0109036', 'this', 'will', 'allow', 'for', 'the', 'automatic', 'generation', 'of', 'dipole', 'subtraction', 'terms', 'and', 'their', 'integrals', 'over', 'the', 'oneparton', 'emission', 'phase', 'space', 'for', 'any', 'given', 'process', 'if', 'the', 'virtual', 'matrix', 'element', 'is', 'provided', 'as', 'well', 'this', 'then', 'directly', 'leads', 'to', 'an', 'nlo', 'qcd', 'parton', 'level', 'event', 'generator']] | [-0.03663171590419441, 0.0931234568525702, -0.11829291053525195, 0.07212731220256612, -0.06778290038701237, -0.02773622023623164, -0.006946624295002349, 0.43528948669753426, -0.2196976463991876, -0.23318609970099316, 0.07961503547054102, -0.27927103451248714, -0.10323412832804024, 0.1540957247446541, -0.04044307723482389, 0.09768009332729867, 0.10167957660628528, 0.01973524145361763, -0.06639220474022384, -0.23839782215314123, 0.30070079635919594, 0.09636914601305319, 0.23454219675282154, 0.10187489503324486, 0.12645892321881724, 0.04674902641805025, -0.12108374639164383, -0.08117978344139042, -0.03646950864959962, 0.07805780256621359, 0.2696983928496881, 0.1232182950139182, 0.1707394922296971, -0.3654115179371906, -0.15212648815621632, 0.12355935253293776, 0.16007567645709325, 0.15106450694594703, -0.05040793781872929, -0.2623471337166138, 0.09707159524011176, -0.2538089497162529, -0.12577340190821304, -0.11136515980881707, -0.016039657565515217, -0.0553419221967754, -0.33806289064629774, -0.03283298570980749, -0.023446103097961808, 0.04069152592664312, 0.047286994414540325, -0.12873763586508064, 0.004607719068256457, 0.13367721735408938, 0.02797140738119019, 0.11031606633439035, 0.1414633435417228, -0.10591879123878642, -0.1965225445867584, 0.4032078038946521, -0.05149263756707447, -0.20005942978782626, 0.06953111362484533, -0.14633020829045917, -0.13103110302330517, 0.2040689622574463, 0.15888336925517496, 0.11387916134170643, -0.18314804867046272, 0.14280903691968244, 0.055783522071135114, 0.18898108694986326, 0.043412352134132894, 0.007726374760883429, 0.15671866343969978, 0.12476891065981784, -0.012580959188820021, 0.11440886346276895, -0.08292178930033271, -0.07454827021262268, -0.37782188795688676, -0.1428728269717639, -0.18422013014645838, 0.006277633884853524, -0.11274632411173448, -0.2470494543355549, 0.37909436803424684, 0.16590444048264677, 0.11990864165751945, 0.009816434373511228, 0.3865648067170164, 0.16794739018347704, 0.1309907251043336, 0.054028320972376115, 0.2283547452321594, 0.10749021850003884, 0.10984118918110276, -0.24349513282522378, 0.04682420068079742, 0.17000645146387197] |
709.2882 | A Generalization of a Result of Hardy and Littlewood | In this note we study the growth of \sum_{m=1}^M\frac1{\|m\alpha\|} as a
function of M for different classes of \alpha\in[0,1). Hardy and Littlewood
showed that for numbers of bounded type, the sum is \simeq M\log M. We give a
very simple proof for it. Further we show the following for generic \alpha. For
a non-decreasing function \phi tending to infinity,
\limsup_{M\to\infty}\frac1{\phi(\log M)}\bigg[\frac1{M\log
M}\sum_{m=1}^M\frac1{\|m\alpha\|}\bigg] is zero or infinity according as
\sum\frac1{k\phi(k)} converges or diverges.
| math.NT | in this note we study the growth of sum_m1mfrac1malpha as a function of m for different classes of alphain01 hardy and littlewood showed that for numbers of bounded type the sum is simeq mlog m we give a very simple proof for it further we show the following for generic alpha for a nondecreasing function phi tending to infinity limsup_mtoinftyfrac1philog mbiggfrac1mlog msum_m1mfrac1malphabigg is zero or infinity according as sumfrac1kphik converges or diverges | [['in', 'this', 'note', 'we', 'study', 'the', 'growth', 'of', 'sum_m1mfrac1malpha', 'as', 'a', 'function', 'of', 'm', 'for', 'different', 'classes', 'of', 'alphain01', 'hardy', 'and', 'littlewood', 'showed', 'that', 'for', 'numbers', 'of', 'bounded', 'type', 'the', 'sum', 'is', 'simeq', 'mlog', 'm', 'we', 'give', 'a', 'very', 'simple', 'proof', 'for', 'it', 'further', 'we', 'show', 'the', 'following', 'for', 'generic', 'alpha', 'for', 'a', 'nondecreasing', 'function', 'phi', 'tending', 'to', 'infinity', 'limsup_mtoinftyfrac1philog', 'mbiggfrac1mlog', 'msum_m1mfrac1malphabigg', 'is', 'zero', 'or', 'infinity', 'according', 'as', 'sumfrac1kphik', 'converges', 'or', 'diverges']] | [-0.1385058376993706, 0.15148722673696813, -0.09081025035190049, 0.057749960691417884, -0.050370061339171074, -0.1849706154942179, 0.046240158142772186, 0.30228436149573373, -0.27964584045668145, -0.20468725125069048, 0.09135994819555876, -0.30094144899231284, -0.1460913575476786, 0.19193311979465966, -0.061797853990166046, 0.010335605452532199, 0.007182508102381852, 0.09615705020503322, -0.06701609725480093, -0.25029271511611206, 0.34476087250705084, -0.04167204921536926, 0.186847244917568, 0.06990134351150092, 0.07647669706111357, 0.0013091416201778381, 0.013136242912498429, -0.0020884770332920753, -0.22207141202344965, 0.02294641066995908, 0.19998108388494645, 0.14363971087080774, 0.3370392382311732, -0.31986186852150444, -0.12923919047409696, 0.1962617865777505, 0.191167476524446, -0.011812978417181702, -0.01287079628195558, -0.1754170025962947, 0.17168663184283606, -0.14206316363789254, -0.20388214274851688, -0.05036435873636892, 0.10011123819971707, 0.08231405683171088, -0.35525701582821, 0.05679696619010238, 0.11714275867970132, 0.03328094971296725, -0.06515029039053219, -0.1624206553783212, 0.03801464072581547, 0.0961168875653686, 0.09025884196579234, 0.1051028536584006, 0.05456633968000759, -0.07012306761566493, -0.05303040235094837, 0.32972523489438776, -0.11351029100869574, -0.23005964921147964, 0.16337133552045074, -0.17246957170540717, -0.14194385212526392, 0.05454547947912074, 0.12144189837055086, 0.18977080218827547, -0.012968928775569396, 0.14832653455460557, -0.08681091138008815, 0.13726392129797543, 0.14591915477345238, -0.0013411127155952488, 0.11103437085455256, 0.11601716580230799, 0.16757962942460497, 0.19160401342964883, -0.0050965478057788905, -0.009176235228999336, -0.385191749280958, -0.25259418196197764, -0.2410403602103244, 0.17364056364619243, -0.11701730701272244, -0.1825324548408389, 0.3284287429345188, 0.060387464601602124, 0.2624198429637463, 0.21850779122992683, 0.19171004346224355, 0.15508649143418157, -0.003802283799081151, 0.05836541917341859, 0.12785246436233952, 0.11657600472472719, 0.08119465819379287, -0.15457800768816204, 0.028955681902815156, 0.10176510657874499] |
709.2883 | Hyperbolicity of general deformations | We present two methods of constructing low degree Kobayashi hyperbolic
hypersurfaces in the projective space: the projection method and the
deformation method. The talk is based on joint works of the speaker with B.
Shiffman and C. Ciliberto.
| math.AG math.CV | we present two methods of constructing low degree kobayashi hyperbolic hypersurfaces in the projective space the projection method and the deformation method the talk is based on joint works of the speaker with b shiffman and c ciliberto | [['we', 'present', 'two', 'methods', 'of', 'constructing', 'low', 'degree', 'kobayashi', 'hyperbolic', 'hypersurfaces', 'in', 'the', 'projective', 'space', 'the', 'projection', 'method', 'and', 'the', 'deformation', 'method', 'the', 'talk', 'is', 'based', 'on', 'joint', 'works', 'of', 'the', 'speaker', 'with', 'b', 'shiffman', 'and', 'c', 'ciliberto']] | [-0.15060856698178932, 0.019221388367249778, -0.10045318080014304, -0.02101984530331959, -0.0734697476727888, -0.172872209308767, -0.004864277275230147, 0.36499967298617486, -0.20637913293352253, -0.23944210810096642, 0.07749194783881601, -0.22834668283987986, -0.16943461141598068, 0.18971562093908065, -0.1606384562083373, 0.06908735428250541, 0.03762190369276428, 0.010872719368260158, -0.13576105423271656, -0.32566990534235774, 0.4042916942976023, 0.0032281696453298394, 0.2903491031672609, 0.06047685566897455, 0.15503366404262028, 0.04654140619708127, -0.08322141304808228, -0.018598125580434787, -0.15230849875431313, 0.2001676733581055, 0.23601640829522358, 0.16565958629852454, 0.19451650768199838, -0.3081246473042196, -0.15059913533102526, 0.11752267015215598, 0.08570908411945168, 0.08967359829694033, 0.0012967364194704906, -0.33095238455816317, 0.04168153002760128, -0.11229231998693553, -0.11570292574010398, -0.07359605069321237, 0.007029924174084475, 0.01680237307262264, -0.19358298662853868, 0.05104585717383184, 0.12597285600771246, 0.14505945854379157, -0.03352191617810413, -0.1512095605660426, -0.00332192207784637, 0.030994305816037876, 0.00370904060056139, 0.1125375046272223, 0.07126668832068772, -0.005639512606553342, -0.1042770583819794, 0.337329853816252, -0.09074246123629182, -0.26438901808701065, 0.16420446975328223, -0.14716176323494629, -0.16115202100359297, 0.08144194694039852, 0.18303034493797704, 0.22374302768883736, -0.04910438797608214, 0.16327171713055577, -0.05256115855330503, 0.06941179781662006, 0.09005664788970821, -0.06702692144991536, 0.08025519904607024, 0.1612540292308519, 0.04872389176958486, 0.05489128694477442, -0.13701856971448778, -0.018157833059759515, -0.3252621915583548, -0.18713231882276504, -0.18305705678894332, 0.017732543013009586, -0.09805942559538189, -0.11773748034121174, 0.4076919619508676, 0.04982331985803811, 0.2281948959601945, 0.0764006795606723, 0.28843943333547367, 0.0005892693435797762, -0.031705616925855315, 0.11085204386740531, 0.18210910944464176, 0.15559174385117858, 0.0796662166249007, -0.19349699154937347, 0.020175333759796462, 0.21183384638769845] |
709.2884 | Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma | We evaluate heavy-quark (HQ) transport properties in a Quark-Gluon Plasma
(QGP) employing interaction potentials extracted from thermal lattice QCD.
Within a Brueckner many-body scheme we calculate in-medium T-matrices for
charm- and bottom-quark scattering off light quarks in the QGP. The
interactions are dominated by attractive meson and diquark channels which
support bound and resonance states up to temperatures of ~1.5 T_c. We apply
pertinent drag and diffusion coefficients (supplemented by perturbative
scattering off gluons) in Langevin simulations in an expanding fireball to
compute HQ spectra and elliptic flow in \sqrt{s_{NN}}=200 GeV Au-Au collisions.
We find good agreement with semileptonic electron-decay spectra which supports
our nonperturbative computation of the HQ diffusion coefficient, suggestive for
a strongly coupled QGP.
| hep-ph nucl-ex nucl-th | we evaluate heavyquark hq transport properties in a quarkgluon plasma qgp employing interaction potentials extracted from thermal lattice qcd within a brueckner manybody scheme we calculate inmedium tmatrices for charm and bottomquark scattering off light quarks in the qgp the interactions are dominated by attractive meson and diquark channels which support bound and resonance states up to temperatures of 15 t_c we apply pertinent drag and diffusion coefficients supplemented by perturbative scattering off gluons in langevin simulations in an expanding fireball to compute hq spectra and elliptic flow in sqrts_nn200 gev auau collisions we find good agreement with semileptonic electrondecay spectra which supports our nonperturbative computation of the hq diffusion coefficient suggestive for a strongly coupled qgp | [['we', 'evaluate', 'heavyquark', 'hq', 'transport', 'properties', 'in', 'a', 'quarkgluon', 'plasma', 'qgp', 'employing', 'interaction', 'potentials', 'extracted', 'from', 'thermal', 'lattice', 'qcd', 'within', 'a', 'brueckner', 'manybody', 'scheme', 'we', 'calculate', 'inmedium', 'tmatrices', 'for', 'charm', 'and', 'bottomquark', 'scattering', 'off', 'light', 'quarks', 'in', 'the', 'qgp', 'the', 'interactions', 'are', 'dominated', 'by', 'attractive', 'meson', 'and', 'diquark', 'channels', 'which', 'support', 'bound', 'and', 'resonance', 'states', 'up', 'to', 'temperatures', 'of', '15', 't_c', 'we', 'apply', 'pertinent', 'drag', 'and', 'diffusion', 'coefficients', 'supplemented', 'by', 'perturbative', 'scattering', 'off', 'gluons', 'in', 'langevin', 'simulations', 'in', 'an', 'expanding', 'fireball', 'to', 'compute', 'hq', 'spectra', 'and', 'elliptic', 'flow', 'in', 'sqrts_nn200', 'gev', 'auau', 'collisions', 'we', 'find', 'good', 'agreement', 'with', 'semileptonic', 'electrondecay', 'spectra', 'which', 'supports', 'our', 'nonperturbative', 'computation', 'of', 'the', 'hq', 'diffusion', 'coefficient', 'suggestive', 'for', 'a', 'strongly', 'coupled', 'qgp']] | [-0.07045572971852881, 0.30607473775295335, -0.20060626945131185, 0.1285146290500616, -0.013878941744694421, -0.1266141400455722, 0.010492767656928506, 0.3765625681744182, -0.19486774629431552, -0.16421403713797317, -0.11102906081540478, -0.39028944652367, 0.046710800178798625, 0.11634584290681985, 0.13319836188622566, 0.13283797829303537, 0.13110211697720184, -0.031780982075423674, -0.03983829539469423, -0.19485828789866305, 0.3120080749825414, 0.003889719750892756, 0.17681524161137, 0.2759167482787422, 0.02219240194796745, 0.07026561300153844, -0.029848435949855322, -0.03893349580225888, -0.15711924177130326, 0.022472040468559936, 0.23254516931172411, -0.08352821145873067, 0.08274364746015134, -0.39139229921495605, -0.2149292260954349, 0.02124638863887381, 0.20682465978336104, 0.11551072115667169, -0.045085331240411974, -0.2698005619559212, 0.04837637445247122, -0.2628495962005751, -0.1649589595015578, -0.15961947248132644, -0.021422056184182393, -0.021872898652057708, -0.3667748615964605, 0.1820008578100081, -0.09321338871638452, 0.03384873042975006, -0.03230772606209563, -0.18057019271534577, -0.03119206994145723, -0.015762245458157347, 0.06499609239961437, 0.10690282432137635, 0.21667531248310518, -0.2341154537685913, -0.11819784498596884, 0.43180287091446845, -0.08918243599051995, -0.10246080355839161, 0.17285311555265095, -0.16463640272007163, -0.07509633104702265, 0.18815523857282923, 0.23601591836155295, 0.08490166781422008, -0.23268442899229583, 0.06639078620305397, -0.025537946867628086, 0.15741575570929603, 0.10082084617521293, 0.06402059867600499, 0.16663501624435442, 0.16028249996377092, -0.11790033597258273, 0.09414206158996014, 0.0008495884028199161, -0.13178700069768418, -0.35704528792472234, -0.03800650675839279, -0.13638070155866444, 0.06877630127890935, -0.137465174795015, -0.10503576409998992, 0.34749566761139905, 0.134176858427838, 0.24311472887398097, -0.03936470873806433, 0.28160311004692884, 0.10693417287708645, 0.016769507002679568, 0.1976717468591985, 0.273469980902456, 0.2562067155075934, 0.1854653570255072, -0.38211945049938395, -0.05693168301488562, 0.1432853582202746] |
709.2885 | Lattice effects and current reversal in superconducting ratchets | Competition between the vortex lattice and a lattice of asymmetric artificial
defects is shown to play a crucial role in ratchet experiments in
superconducting films. We present a novel and collective mechanism for current
reversal based on a reconfiguration of the vortex lattice. In contrast to
previous models of vortex current reversal, the mechanism is based on the
global response of the vortex lattice to external forces.
| cond-mat.supr-con cond-mat.stat-mech | competition between the vortex lattice and a lattice of asymmetric artificial defects is shown to play a crucial role in ratchet experiments in superconducting films we present a novel and collective mechanism for current reversal based on a reconfiguration of the vortex lattice in contrast to previous models of vortex current reversal the mechanism is based on the global response of the vortex lattice to external forces | [['competition', 'between', 'the', 'vortex', 'lattice', 'and', 'a', 'lattice', 'of', 'asymmetric', 'artificial', 'defects', 'is', 'shown', 'to', 'play', 'a', 'crucial', 'role', 'in', 'ratchet', 'experiments', 'in', 'superconducting', 'films', 'we', 'present', 'a', 'novel', 'and', 'collective', 'mechanism', 'for', 'current', 'reversal', 'based', 'on', 'a', 'reconfiguration', 'of', 'the', 'vortex', 'lattice', 'in', 'contrast', 'to', 'previous', 'models', 'of', 'vortex', 'current', 'reversal', 'the', 'mechanism', 'is', 'based', 'on', 'the', 'global', 'response', 'of', 'the', 'vortex', 'lattice', 'to', 'external', 'forces']] | [-0.2084564521001763, 0.18365374302018933, -0.07222977947832933, 0.005352283192020076, -0.08830357201175014, -0.09103362167726702, 0.0833288405278225, 0.41134081947714535, -0.2521282069857663, -0.24946384231990842, 0.04733948172382844, -0.21824012516038632, -0.1774426556206239, 0.17113325439059912, 0.016907040641379, 0.052557532995272035, -0.029358405536457674, -0.008582869072013827, -0.011848773501479804, -0.21064679977942757, 0.30693341180014966, 0.06779004007911504, 0.414200693049204, 0.11180239162449516, 0.0762318863686341, -0.004395072160761303, 0.02815530355672227, 0.018258604429551024, -0.12489355689109262, 0.10084286112505109, 0.13500559902924797, -0.08415095125839336, 0.1922549874480091, -0.5577448787195469, -0.20784108257338182, 0.07739873010831982, 0.14040979813895563, 0.19673876264202061, -0.08779992270561408, -0.23469028210462028, 0.047211172781995873, -0.1250572066559498, -0.08373383933038854, -0.07208848213637943, 0.05739468637742658, 0.057044512895457165, -0.2909791732646539, 0.0605371936759564, 0.1255928391604615, 0.11636697131195176, -0.09071629383225939, -0.05492646722540037, -0.03917265758474371, 0.051528654499118455, 0.016452845568254368, 0.09500226853137363, 0.15835253694859236, -0.1964658140413352, -0.2125466588550984, 0.4190575397615112, -0.041585367145155795, -0.17139009742149666, 0.15755488651929728, -0.09303976837267626, -0.07583895014293159, 0.0996477008699926, 0.17528173110600728, 0.0760551831865711, -0.09371013525150605, -0.0019244478073721723, -0.06218135548727726, 0.14204161546762978, -0.0020880867247539225, 0.016767527657880713, 0.29844176488469787, 0.28068453807439375, 0.08844776586420945, 0.18143257003194138, -0.11124387826273607, -0.16511783982390787, -0.27653180671605604, -0.10591197188999225, -0.186541290196187, 0.012008875438599471, 0.0005656856658639136, -0.17868595295229495, 0.40544742637021997, 0.18618933294913662, 0.1985380491988956, -0.092636527861955, 0.2387571343735083, 0.06651486557866655, 0.1065999749464108, 0.0018050408810933135, 0.2400554371580704, 0.10754134820134782, 0.15159508414955727, -0.3640306525404996, 0.04321030274367155, 0.08470581361759844] |
709.2886 | Magnetic processes in a collapsing dense core. I Accretion and Ejection | Abridged. It is important for the star formation process to understand the
collapse of a prestellar dense core. We investigate the effect of the magnetic
field during the first collapse up to the formation of the firstcore, focusing
particularly on the magnetic braking and the launching of outflows. We perform
3D AMR high resolution numerical simulations of a magnetically supercritical
collapsing dense core using the RAMSES MHD code and develop semi-analytical
models that we compare with the numerical results. We study in detail the
various profiles within the envelope of the collapsing core for various
magnetic field strengths. Even modest values of magnetic field strength modify
the collapse significantly. This is largely due to the amplification of the
radial and toroidal components of the magnetic field by the differential
motions within the collapsing core. For a weak magnetic intensity corresponding
to an initial mass-to-flux over critical mass-to-flux ratio, $\mu$ equals to
20, a centrifugally supported disk forms. The strong differential rotation
triggers the growth of a slowly expanding magnetic tower. For a higher magnetic
field strengths corresponding to $\mu=2$, the collapse occurs primarily along
the field lines, therefore delivering weaker angular momentum in the inner part
whereas at the same time, strong magnetic braking occurs. As a consequence no
centrifugally supported disk forms. An outflow is launched from the central
thermally supported core. Detailed comparisons with existing analytical
predictions indicate that it is magneto-centrifugally driven. For cores having
a mass-to-flux over critical mass-to-flux radio $\mu < 5$, the magnetic field
appears to have a significant impact.....
| astro-ph | abridged it is important for the star formation process to understand the collapse of a prestellar dense core we investigate the effect of the magnetic field during the first collapse up to the formation of the firstcore focusing particularly on the magnetic braking and the launching of outflows we perform 3d amr high resolution numerical simulations of a magnetically supercritical collapsing dense core using the ramses mhd code and develop semianalytical models that we compare with the numerical results we study in detail the various profiles within the envelope of the collapsing core for various magnetic field strengths even modest values of magnetic field strength modify the collapse significantly this is largely due to the amplification of the radial and toroidal components of the magnetic field by the differential motions within the collapsing core for a weak magnetic intensity corresponding to an initial masstoflux over critical masstoflux ratio mu equals to 20 a centrifugally supported disk forms the strong differential rotation triggers the growth of a slowly expanding magnetic tower for a higher magnetic field strengths corresponding to mu2 the collapse occurs primarily along the field lines therefore delivering weaker angular momentum in the inner part whereas at the same time strong magnetic braking occurs as a consequence no centrifugally supported disk forms an outflow is launched from the central thermally supported core detailed comparisons with existing analytical predictions indicate that it is magnetocentrifugally driven for cores having a masstoflux over critical masstoflux radio mu 5 the magnetic field appears to have a significant impact | [['abridged', 'it', 'is', 'important', 'for', 'the', 'star', 'formation', 'process', 'to', 'understand', 'the', 'collapse', 'of', 'a', 'prestellar', 'dense', 'core', 'we', 'investigate', 'the', 'effect', 'of', 'the', 'magnetic', 'field', 'during', 'the', 'first', 'collapse', 'up', 'to', 'the', 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709.2887 | Magnetic processes in a collapsing dense core. II Fragmentation. Is
there a fragmentation crisis ? | Abridged. A large fraction of stars are found in binary systems. It is
therefore important for our understanding of the star formation process, to
investigate the fragmentation of dense molecular cores. We study the influence
of the magnetic field, ideally coupled to the gas, on the fragmentation in
multiple systems of collapsing cores. We present high resolution numerical
simulations performed with the RAMSES MHD code starting with a uniform sphere
in solid body rotation and a uniform magnetic field parallel to the rotation
axis. We pay particular attention to the strength of the magnetic field and
interpret the results using the analysis presented in a companion paper. The
results depend much on the amplitude, $A$, of the perturbations seeded
initially. For a low amplitude, $A=0.1$, we find that for values of the
mass-to-flux over critical mass-to-flux ratio, $\mu$, as high as $\mu = 20$,
the centrifugally supported disk which fragments in the hydrodynamical case, is
stabilized and remains axisymmetric. Detailed investigations reveals that this
is due to the rapid growth of the toroidal magnetic field induced by the
differential motions within the disk. For values of $\mu$ smaller $\simeq 5$,
corresponding to larger magnetic intensities, there is no centrifugally
supported disk because of magnetic braking. When the amplitude of the
perturbation is equal to $A=0.5$, each initial peak develops independently and
the core fragments for a large range of $\mu$. Only for values of $\mu$ close
to 1 is the magnetic field able to prevent the fragmentation. Since a large
fraction of stars are binaries, the results of low magnetic intensities
preventing the fragmentation in case of weak perturbations, is problematic. We
discuss three possible mechanisms...
| astro-ph | abridged a large fraction of stars are found in binary systems it is therefore important for our understanding of the star formation process to investigate the fragmentation of dense molecular cores we study the influence of the magnetic field ideally coupled to the gas on the fragmentation in multiple systems of collapsing cores we present high resolution numerical simulations performed with the ramses mhd code starting with a uniform sphere in solid body rotation and a uniform magnetic field parallel to the rotation axis we pay particular attention to the strength of the magnetic field and interpret the results using the analysis presented in a companion paper the results depend much on the amplitude a of the perturbations seeded initially for a low amplitude a01 we find that for values of the masstoflux over critical masstoflux ratio mu as high as mu 20 the centrifugally supported disk which fragments in the hydrodynamical case is stabilized and remains axisymmetric detailed investigations reveals that this is due to the rapid growth of the toroidal magnetic field induced by the differential motions within the disk for values of mu smaller simeq 5 corresponding to larger magnetic intensities there is no centrifugally supported disk because of magnetic braking when the amplitude of the perturbation is equal to a05 each initial peak develops independently and the core fragments for a large range of mu only for values of mu close to 1 is the magnetic field able to prevent the fragmentation since a large fraction of stars are binaries the results of low magnetic intensities preventing the fragmentation in case of weak perturbations is problematic we discuss three possible mechanisms | [['abridged', 'a', 'large', 'fraction', 'of', 'stars', 'are', 'found', 'in', 'binary', 'systems', 'it', 'is', 'therefore', 'important', 'for', 'our', 'understanding', 'of', 'the', 'star', 'formation', 'process', 'to', 'investigate', 'the', 'fragmentation', 'of', 'dense', 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709.2888 | Fluctuations around the Tachyon Vacuum in Open String Field Theory | We consider quadratic fluctuations around the tachyon vacuum numerically in
open string field theory. We work on a space ${\cal H}_N^{{\rm vac}}$ spanned
by basis string states used in the Schnabl's vacuum solution. We show that the
truncated form of the Schnabl's vacuum solution on ${\cal H}_N^{{\rm vac}}$ is
well-behaved in numerical work. The orthogonal basis for the new BRST operator
$\tilde Q$ on ${\cal H}_N^{{\rm vac}}$ and the quadratic forms of potentials
for independent fields around the vacuum are obtained. Our numerical results
support that the Schnabl's vacuum solution represents the minimum energy
solution for arbitrary fluctuations also in open string field theory.
| hep-th | we consider quadratic fluctuations around the tachyon vacuum numerically in open string field theory we work on a space cal h_nrm vac spanned by basis string states used in the schnabls vacuum solution we show that the truncated form of the schnabls vacuum solution on cal h_nrm vac is wellbehaved in numerical work the orthogonal basis for the new brst operator tilde q on cal h_nrm vac and the quadratic forms of potentials for independent fields around the vacuum are obtained our numerical results support that the schnabls vacuum solution represents the minimum energy solution for arbitrary fluctuations also in open string field theory | [['we', 'consider', 'quadratic', 'fluctuations', 'around', 'the', 'tachyon', 'vacuum', 'numerically', 'in', 'open', 'string', 'field', 'theory', 'we', 'work', 'on', 'a', 'space', 'cal', 'h_nrm', 'vac', 'spanned', 'by', 'basis', 'string', 'states', 'used', 'in', 'the', 'schnabls', 'vacuum', 'solution', 'we', 'show', 'that', 'the', 'truncated', 'form', 'of', 'the', 'schnabls', 'vacuum', 'solution', 'on', 'cal', 'h_nrm', 'vac', 'is', 'wellbehaved', 'in', 'numerical', 'work', 'the', 'orthogonal', 'basis', 'for', 'the', 'new', 'brst', 'operator', 'tilde', 'q', 'on', 'cal', 'h_nrm', 'vac', 'and', 'the', 'quadratic', 'forms', 'of', 'potentials', 'for', 'independent', 'fields', 'around', 'the', 'vacuum', 'are', 'obtained', 'our', 'numerical', 'results', 'support', 'that', 'the', 'schnabls', 'vacuum', 'solution', 'represents', 'the', 'minimum', 'energy', 'solution', 'for', 'arbitrary', 'fluctuations', 'also', 'in', 'open', 'string', 'field', 'theory']] | [-0.18669442279944912, 0.14984572694363754, -0.06941717679057127, 0.0697448593799401, -0.022198752786677618, -0.0802087540147253, 0.003876511354554588, 0.29997931822659807, -0.19320741929830268, -0.20948232666481859, 0.08611902875306371, -0.25439442528519207, -0.11832689636727221, 0.161323231483738, -0.024537180532486394, 0.08533984599097703, 0.028971205465495586, 0.06140393248418919, -0.06559210500115743, -0.23193774137941475, 0.35548550865720385, 0.032530317540826775, 0.2665476899934359, 0.03798724564974411, 0.09349112559665138, -0.02153709314790411, 0.042928663458531864, 0.010884599961382965, -0.1767416094445742, 0.0949274916711147, 0.21249737393988583, 0.12270553783750635, 0.19038974730154642, -0.429365319981186, -0.13542708933863862, 0.08463835451178826, 0.1470480345753738, 0.13336550784655488, -0.05168730572936161, -0.2553065983274092, 0.07073690201818514, -0.1307306525995955, -0.1983439472992009, -0.11618310642930177, 0.040921791651411556, -0.08639300618625174, -0.3007616700532918, 0.0677784268020612, -0.03441295258212799, 0.004874114994890988, -0.1450014848333712, -0.12471529976643908, -0.021665913892390493, -0.007019028947419988, 0.0635350499438713, 0.12047102637678528, 0.10433983627724676, -0.1411234721622, -0.09950955747626722, 0.31543929873105997, -0.14169713704905007, -0.24079536841824078, 0.05969662511219772, -0.14553718937363905, -0.10499039160248895, 0.10304375091240778, 0.10302611939886656, 0.16246462126190847, -0.0787344786266868, 0.288351770024187, -0.04944420574667255, 0.11931895168023542, 0.12651694032739705, 0.0399908417703745, 0.18910377639202544, 0.0529107024586455, 0.0422638270806951, 0.1425042788457806, 0.040830212217630245, -0.1675225681347701, -0.4173735639868447, -0.13803497943668985, -0.16901321678485076, 0.08040558739538448, -0.1279714588497602, -0.21270078050796515, 0.37931928665672715, 0.1185637563355088, 0.14681028085760772, 0.04444075632804575, 0.19292468493893886, 0.15001634679972015, 0.02730200455362837, 0.11285512295748609, 0.23981208424083889, 0.13786361557476295, 0.06956848038064961, -0.2826666423352435, -0.11255531025548968, 0.12422011885344265] |
709.2889 | The complete lowest order chiral Lagrangian from a little box | We recently performed a pilot study determining the parameters of the leading
order chiral Lagrangian from distributions of the eigenvalues of a quenched
Dirac operator coupled to an imaginary isospin chemical potential. We
complement a quick survey of our recent preprint arXiv:0708.1731 [hep-lat] by
addressing some points raised during discussions at the conference.
| hep-lat | we recently performed a pilot study determining the parameters of the leading order chiral lagrangian from distributions of the eigenvalues of a quenched dirac operator coupled to an imaginary isospin chemical potential we complement a quick survey of our recent preprint arxiv07081731 heplat by addressing some points raised during discussions at the conference | [['we', 'recently', 'performed', 'a', 'pilot', 'study', 'determining', 'the', 'parameters', 'of', 'the', 'leading', 'order', 'chiral', 'lagrangian', 'from', 'distributions', 'of', 'the', 'eigenvalues', 'of', 'a', 'quenched', 'dirac', 'operator', 'coupled', 'to', 'an', 'imaginary', 'isospin', 'chemical', 'potential', 'we', 'complement', 'a', 'quick', 'survey', 'of', 'our', 'recent', 'preprint', 'arxiv07081731', 'heplat', 'by', 'addressing', 'some', 'points', 'raised', 'during', 'discussions', 'at', 'the', 'conference']] | [-0.16631937354731446, 0.10677994275717467, -0.11162595964001062, -0.014508139162969131, -0.09090481433444299, -0.06026639005778214, 0.095026477598227, 0.2726281969270741, -0.18223564745858312, -0.28060402638780385, 0.06323526128051946, -0.3246590197802736, -0.15292847455622485, 0.10353039319698627, -0.017233379364300232, 0.08667837233784106, 0.054073419688812956, 0.00971589688784801, -0.0870107744480125, -0.28824727154838353, 0.3477096395665565, 0.0986126173610011, 0.19755836692190945, 0.12968204965671667, 0.033878816336464994, 0.009007360795154594, -0.12015934793565136, -0.03894605414153865, -0.15041539578949317, 0.07318130816118075, 0.23867175727187154, 0.030221735449651115, 0.2743756851235118, -0.4291283003985882, -0.18395156889724043, 0.11960717644363356, 0.12795783939341512, 0.1297685866100857, -0.11534388990213092, -0.33186417669416046, 0.05193330103961321, -0.1650024680599857, -0.23217710544570133, -0.051272448438864485, 0.005303818222063665, -0.008818474860163406, -0.23389003440164602, 0.04610711109573738, 0.02493083711641912, 0.13842173028164184, -0.04397014321651883, -0.19339108012186793, -0.010528434215722462, 0.1054840672832842, 0.060904279769881844, 0.05281157024168911, 0.09146207397302183, -0.11459142872795033, -0.11930183359296419, 0.373438542529654, -0.03242664969785927, -0.11067069764249027, 0.13275198018751466, -0.1150489777389269, -0.17563664303340304, 0.07656597136743724, 0.19133525902333742, 0.1295884814854407, -0.17959593802403945, 0.13183034859740964, -0.016900012233796027, 0.12709983643099593, 0.06816222382566103, -0.03617252003795539, 0.20770028681727126, 0.1178393059795221, 0.037054446346771255, 0.10432026900511679, -0.010893678570237871, -0.12797066691564396, -0.32388851046562195, -0.11112199215075144, -0.1936064551656063, 0.07069915812462568, -0.0358271375656701, -0.11843129726520811, 0.47283151955343783, 0.1461138924306187, 0.24223831410143667, -0.02651701717135998, 0.24849975818338302, 0.11352385779621098, 0.039622804906684905, 0.014746578508773102, 0.19415741633509662, 0.19953962141880766, 0.15214897704740557, -0.25303917293562195, -0.05149822599532154, 0.09962017690010655] |
709.289 | Using invariants for phylogenetic tree construction | Phylogenetic invariants are certain polynomials in the joint probability
distribution of a Markov model on a phylogenetic tree. Such polynomials are of
theoretical interest in the field of algebraic statistics and they are also of
practical interest--they can be used to construct phylogenetic trees. This
paper is a self-contained introduction to the algebraic, statistical, and
computational challenges involved in the practical use of phylogenetic
invariants. We survey the relevant literature and provide some partial answers
and many open problems.
| q-bio.PE | phylogenetic invariants are certain polynomials in the joint probability distribution of a markov model on a phylogenetic tree such polynomials are of theoretical interest in the field of algebraic statistics and they are also of practical interestthey can be used to construct phylogenetic trees this paper is a selfcontained introduction to the algebraic statistical and computational challenges involved in the practical use of phylogenetic invariants we survey the relevant literature and provide some partial answers and many open problems | [['phylogenetic', 'invariants', 'are', 'certain', 'polynomials', 'in', 'the', 'joint', 'probability', 'distribution', 'of', 'a', 'markov', 'model', 'on', 'a', 'phylogenetic', 'tree', 'such', 'polynomials', 'are', 'of', 'theoretical', 'interest', 'in', 'the', 'field', 'of', 'algebraic', 'statistics', 'and', 'they', 'are', 'also', 'of', 'practical', 'interestthey', 'can', 'be', 'used', 'to', 'construct', 'phylogenetic', 'trees', 'this', 'paper', 'is', 'a', 'selfcontained', 'introduction', 'to', 'the', 'algebraic', 'statistical', 'and', 'computational', 'challenges', 'involved', 'in', 'the', 'practical', 'use', 'of', 'phylogenetic', 'invariants', 'we', 'survey', 'the', 'relevant', 'literature', 'and', 'provide', 'some', 'partial', 'answers', 'and', 'many', 'open', 'problems']] | [-0.12697480497165367, 0.08799071427291402, -0.07973860679433131, 0.1542952840264218, -0.14727586378844884, -0.11855955316255298, 0.040800298732788995, 0.34470834628416175, -0.33261732460978705, -0.2860974950405459, 0.1330347721157476, -0.25328471640554756, -0.19048967285272786, 0.20922273554755613, -0.15381123973892477, 0.10473648822890261, 0.10372800555510017, 0.03397434347836026, -0.039927643755128465, -0.31680027446828973, 0.3303907079240068, 0.03383122305743969, 0.22588807927110258, 0.05634240150594941, 0.09651290625333786, -0.04617566931156967, -0.08710688380643916, 0.027746110397856683, -0.176251519137086, 0.17133646978748937, 0.39844654600780743, 0.24725368470311737, 0.23699278441759256, -0.3962139322971686, -0.1800058186890032, 0.1352348450350408, 0.17251455408329955, 0.1612774302633718, -0.008260646633481463, -0.24819131965677327, 0.07421249360180436, -0.14759557097792053, -0.0737810598877378, -0.09830943158326241, -0.026565099243247785, 0.06463967786672023, -0.21412217263609934, 0.024694976094999734, 0.04257515532513841, 0.12756271319141468, 0.02775066877373506, -0.17340627080128074, 0.017195114406207815, 0.12701417911702242, 0.02806755767400878, 0.028604280985653017, 0.06590636753333876, -0.10017407512089285, -0.1520172848772162, 0.34429539224276173, 0.04857484022310624, -0.27088658158213663, 0.17397371823421848, -0.0873571234002996, -0.2787328093530586, 0.09305074165175216, 0.1859593933973557, 0.1160958490979213, -0.17381819382083052, 0.13030612320364574, -0.05229384415687468, 0.065313144284002, 0.04759062869020571, 0.027557637261895414, 0.20762434716408068, 0.12096437233953904, 0.045333813111005254, 0.13207578123994887, -0.003763309408289691, -0.11094736666657412, -0.27365927474621016, -0.15921789458475244, -0.1442707048681302, 0.04918271350937012, -0.14013726139875451, -0.2267960383413503, 0.430362609680742, 0.18716637073204112, 0.1645328849583912, 0.12701070508083853, 0.2565445013057727, 0.07894433692742425, -0.03835921246597233, 0.027737691870126396, 0.0946353995618082, 0.21298354425921273, 0.0465235569072553, -0.08781330430736908, 0.11821986145029466, 0.0660576541812565] |
709.2891 | The group reduction for bounded cosine functions on UMD spaces | It is shown that if A generates a bounded cosine operator function on a UMD
space X, then i(-A)^{1/2} generates a bounded C_0-group. The proof uses a
transference principle for cosine functions.
| math.FA | it is shown that if a generates a bounded cosine operator function on a umd space x then ia12 generates a bounded c_0group the proof uses a transference principle for cosine functions | [['it', 'is', 'shown', 'that', 'if', 'a', 'generates', 'a', 'bounded', 'cosine', 'operator', 'function', 'on', 'a', 'umd', 'space', 'x', 'then', 'ia12', 'generates', 'a', 'bounded', 'c_0group', 'the', 'proof', 'uses', 'a', 'transference', 'principle', 'for', 'cosine', 'functions']] | [-0.12265875802991251, 0.13870965923753478, -0.18017515894626418, 0.13178445181373746, -0.1474468045297169, -0.13649756537990704, 0.047467822809853864, 0.3542335086291836, -0.368210740988293, -0.08796572802408088, 0.0768010440252481, -0.29080429706241817, -0.17850865844276645, 0.2650303353345202, -0.09131289990017971, 0.03461059118290582, 0.07156422445850988, 0.05993846731801187, -0.13517542075996677, -0.17508372790630786, 0.32775803967829675, -0.10244051973906255, 0.2415713727354042, 0.08961877564809495, 0.3170407312291284, 0.05079698460477014, 0.014904080003860497, -0.03553325651427581, -0.10183656261600141, 0.1271967996332434, 0.13533252970345558, 0.1454764921668797, 0.3564719621452593, -0.2680283043413393, -0.1797283789323222, 0.18159681174062914, 0.07439270723731287, -0.05814350480514188, -0.0975781800112717, -0.2806728524906981, 0.08630916136767595, -0.1215551741301052, -0.12540705781430006, -0.07326555819881539, 0.09748548871627258, 0.03813141004572953, -0.4398354034750692, -0.010680732827994132, 0.14601059900897165, -0.016257935083441196, -0.07905948104997797, -0.07335673317673706, -0.04849682076864185, -0.014729674740303908, -0.05467247209631868, 0.21447515821144467, 0.06573199180345382, 0.04610553041340843, -0.056606345764932134, 0.3539968830863795, -0.10415342411086444, -0.3681407724657366, 0.07693872141141084, -0.1628588490007866, -0.07139516225264918, 0.018294717635839217, 0.094200526289041, 0.14922900768297334, -0.08925519772474805, 0.22683370278607454, -0.16041762676210172, 0.25339293239578126, 0.11088072370377279, -0.0006606485544433517, 0.06758436861057435, 0.09532286966550013, 0.2341836603178132, 0.15146939816974825, 0.015838744757216302, -0.06405390576729851, -0.3934014444389651, -0.1485414661226734, -0.31774157647704404, 0.07020290940999985, -0.09133701613773743, -0.2411382578401601, 0.3902578992438653, 0.0007431473763238999, 0.2070557737362481, 0.15574945198492177, 0.22969084341199167, 0.1870099037975794, 0.09524426891678764, 0.05754539125689095, 0.10769443862861203, 0.13789164633189718, 0.10585340648709286, -0.06338855047379771, 0.08603604547979851, 0.26323019500142114] |
709.2892 | The Orbital Period of the Wolf-Rayet Binary IC 10 X-1; Dynamic Evidence
that the Compact Object is a Black Hole | IC 10 X-1 is a bright (Lx=10^38 ergs/s) variable X-ray source in the local
group starburst galaxy IC 10. The most plausible optical counterpart is a
luminous Wolf-Rayet star, making IC 10 X-1 a rare example of a Wolf-Rayet X-ray
binary. In this paper, we report on the detection of an X-ray orbital period
for IC 10 X-1of 34.4 hours. This result, combined with a re-examination of
optical spectra, allow us to determine a mass function for the system f(m)=7.8
Msun and a probable mass for the compact object of 24-36 Msun. If this analysis
is correct, the compact object is the most massive known stellar black black
hole. We further show that the observed period is inconsistent with Roche lobe
overflow, suggesting that the binary is detached and the black hole is
accreting the wind of the Wolf-Rayet star. The observed mass loss rate of
[MAC92] 17-A is sufficient to power the X-ray luminosity of IC 10 X-1.
| astro-ph | ic 10 x1 is a bright lx1038 ergss variable xray source in the local group starburst galaxy ic 10 the most plausible optical counterpart is a luminous wolfrayet star making ic 10 x1 a rare example of a wolfrayet xray binary in this paper we report on the detection of an xray orbital period for ic 10 x1of 344 hours this result combined with a reexamination of optical spectra allow us to determine a mass function for the system fm78 msun and a probable mass for the compact object of 2436 msun if this analysis is correct the compact object is the most massive known stellar black black hole we further show that the observed period is inconsistent with roche lobe overflow suggesting that the binary is detached and the black hole is accreting the wind of the wolfrayet star the observed mass loss rate of mac92 17a is sufficient to power the xray luminosity of ic 10 x1 | [['ic', '10', 'x1', 'is', 'a', 'bright', 'lx1038', 'ergss', 'variable', 'xray', 'source', 'in', 'the', 'local', 'group', 'starburst', 'galaxy', 'ic', '10', 'the', 'most', 'plausible', 'optical', 'counterpart', 'is', 'a', 'luminous', 'wolfrayet', 'star', 'making', 'ic', '10', 'x1', 'a', 'rare', 'example', 'of', 'a', 'wolfrayet', 'xray', 'binary', 'in', 'this', 'paper', 'we', 'report', 'on', 'the', 'detection', 'of', 'an', 'xray', 'orbital', 'period', 'for', 'ic', '10', 'x1of', '344', 'hours', 'this', 'result', 'combined', 'with', 'a', 'reexamination', 'of', 'optical', 'spectra', 'allow', 'us', 'to', 'determine', 'a', 'mass', 'function', 'for', 'the', 'system', 'fm78', 'msun', 'and', 'a', 'probable', 'mass', 'for', 'the', 'compact', 'object', 'of', '2436', 'msun', 'if', 'this', 'analysis', 'is', 'correct', 'the', 'compact', 'object', 'is', 'the', 'most', 'massive', 'known', 'stellar', 'black', 'black', 'hole', 'we', 'further', 'show', 'that', 'the', 'observed', 'period', 'is', 'inconsistent', 'with', 'roche', 'lobe', 'overflow', 'suggesting', 'that', 'the', 'binary', 'is', 'detached', 'and', 'the', 'black', 'hole', 'is', 'accreting', 'the', 'wind', 'of', 'the', 'wolfrayet', 'star', 'the', 'observed', 'mass', 'loss', 'rate', 'of', 'mac92', '17a', 'is', 'sufficient', 'to', 'power', 'the', 'xray', 'luminosity', 'of', 'ic', '10', 'x1']] | [-0.10808854698233547, 0.054158837227394896, -0.036472851182183914, 0.1459097017045884, -0.1447913633118714, -0.1191181302040575, 0.08898356452419032, 0.4300614598177133, -0.131028053625637, -0.304829250696686, 0.11252624906389223, -0.31310025097862365, -0.020085790119464358, 0.24264742648733625, -0.07823009007580338, -0.05319434422849407, 0.1086717278306042, 0.0004448658306031458, -0.08321071532780244, -0.26962622562122923, 0.3210135757923126, 0.07834153534664262, 0.10858274579889352, -0.05019356424830133, 0.0862097286709374, -0.04861068106556852, -0.007682172785468039, -0.12820958612306463, -0.10120370359236991, 0.029043878653206893, 0.21214173629489397, 0.14887580621326643, 0.18459962366088745, -0.278208244779718, -0.21332361008371076, 0.04871468117175203, 0.17693272676439054, -0.003872166390741064, -0.07808728593536803, -0.205855207290921, 0.1255681689317909, -0.29694634777523815, -0.19695838584354328, 0.12924663109945195, 0.09804387833667738, -0.0013953456925528665, -0.23696977098382288, 0.1573227081417797, 0.06139450169679138, 0.022654438283174268, -0.18821809199308195, -0.041098925067983086, -0.03898029729663845, 0.021033223357892806, 0.02997359543918602, 0.12233368657048671, 0.15936662329496035, -0.11852923676281446, -0.04091216994810008, 0.37717096202315825, -0.004029985973160834, 0.06044864065554594, 0.224953374690226, -0.2295665780803369, -0.17758124041100665, 0.18835495059047977, 0.10845407005699892, 0.16691874289704908, -0.18737003667460334, -0.03363887068229698, -0.0326485296320771, 0.2865266641541835, 0.02539093748576218, 0.07605170008375295, 0.3622975421588748, 0.16788962512847877, -0.01918698147825536, 0.14506517247927767, -0.27902211453615416, 0.01186797839679545, -0.20395905932471636, -0.10259631951959172, -0.12870643386437047, 0.17623878232458787, -0.1702898824375288, -0.13248897579783994, 0.30172457204410624, 0.05666712332637079, 0.20658173125627782, -0.007669902385603036, 0.29102979632875614, 0.11902565564922687, 0.06267420808698292, 0.15446926055536156, 0.32734822383931567, 0.1791770592902697, 0.09299033497189803, -0.2565475302237657, 0.04933610936521643, 0.01581912263326587] |
709.2893 | Selection principles and countable dimension | We characterize countable dimensionality and strong countable dimensionality
by means of an infinite game.
| math.GN | we characterize countable dimensionality and strong countable dimensionality by means of an infinite game | [['we', 'characterize', 'countable', 'dimensionality', 'and', 'strong', 'countable', 'dimensionality', 'by', 'means', 'of', 'an', 'infinite', 'game']] | [-0.11072676847730431, 0.20988501200190512, -0.008260934347552913, 0.12875979061105422, -0.14881056813257082, -0.10801878598119531, 0.13950390262263163, 0.38051541468926836, -0.3530305560146059, -0.15120973105409316, 0.10830342234112322, -0.29397228360176086, -0.07600565760263375, 0.06526159569122163, -0.16146882956049272, 0.0694136389398149, 0.019069080107978413, 0.088382706977427, 0.04432272744764175, -0.27363028342369944, 0.43690521941919414, -0.052102566829749515, 0.30184128268488813, 0.018792479964239255, 0.20130052510648966, 0.0838467937095889, -0.048531267259802134, 0.21695403116089956, -0.21739695354231767, 0.050397293509117196, 0.3550339358792241, 0.17041802379701818, 0.43001838347741533, -0.38539113104343414, -0.2070383817356612, 0.20857848892254488, 0.1272334914122309, 0.06290759172822748, 0.01137488488374012, -0.4134664929338864, 0.030798079445958138, -0.251071518819247, -0.15501837794935064, -0.244254200852343, 0.036753143050840924, -0.0410843883374972, -0.25613514047914315, -0.08814206147300345, 0.22234583592840604, 0.22821122075298003, -0.03405667295945542, 0.022966565830366954, -0.020521533342876604, 0.05717169839356627, 0.006982944905757904, -0.11009547087763037, -0.030742958820025836, -0.030533463810570538, -0.20517357355648919, 0.3336695738668953, -0.1315801669843495, -0.16611445232826685, 0.2645850729729448, -0.10226975225045212, -0.2056589593578662, 0.18095318973064423, 0.1451386282486575, 0.08558765732284103, -0.013715326453426055, 0.26090382424964836, -0.09519326440723878, 0.24813679978251457, 0.09617750020697713, 0.0792945524278496, 0.06642263050058059, 0.21725052342350995, 0.16434938819812878, 0.25886344044868437, 0.07048831055206912, -0.03161957859992981, -0.24077554665771977, -0.11997205125434059, -0.2627270729946239, 0.10982500788356576, -0.27123283560649725, -0.20733720383473805, 0.23257548305472092, 0.06819676993680852, 0.1009716298431158, 0.07073435859222497, 0.20114307464765652, 0.1315425176705633, -0.06647847895510495, 0.08364811240296278, 0.03952455214623894, 0.21999590978625097, -0.14781222146536624, -0.23043426851342833, 0.03783100221439132, 0.19012173464787857] |
709.2894 | Baryonic branches and resolutions of Ricci-flat Kahler cones | We consider deformations of N=1 superconformal field theories that are
AdS/CFT dual to Type IIB string theory on Sasaki-Einstein manifolds,
characterised by non-zero vacuum expectation values for certain baryonic
operators. Such baryonic branches are constructed from (partially) resolved,
asymptotically conical Ricci-flat Kahler manifolds, together with a choice of
point where the stack of D3-branes is placed. The complete solution then
describes a renormalisation group flow between two AdS fixed points. We discuss
the use of probe Euclidean D3-branes in these backgrounds as a means to compute
expectation values of baryonic operators. The Y^{p,q} theories are used as
illustrative examples throughout the paper. In particular, we present
supergravity solutions describing flows from the Y^{p,q} theories to various
different orbifold field theories in the infra-red, and successfully match this
to an explicit field theory analysis.
| hep-th | we consider deformations of n1 superconformal field theories that are adscft dual to type iib string theory on sasakieinstein manifolds characterised by nonzero vacuum expectation values for certain baryonic operators such baryonic branches are constructed from partially resolved asymptotically conical ricciflat kahler manifolds together with a choice of point where the stack of d3branes is placed the complete solution then describes a renormalisation group flow between two ads fixed points we discuss the use of probe euclidean d3branes in these backgrounds as a means to compute expectation values of baryonic operators the ypq theories are used as illustrative examples throughout the paper in particular we present supergravity solutions describing flows from the ypq theories to various different orbifold field theories in the infrared and successfully match this to an explicit field theory analysis | [['we', 'consider', 'deformations', 'of', 'n1', 'superconformal', 'field', 'theories', 'that', 'are', 'adscft', 'dual', 'to', 'type', 'iib', 'string', 'theory', 'on', 'sasakieinstein', 'manifolds', 'characterised', 'by', 'nonzero', 'vacuum', 'expectation', 'values', 'for', 'certain', 'baryonic', 'operators', 'such', 'baryonic', 'branches', 'are', 'constructed', 'from', 'partially', 'resolved', 'asymptotically', 'conical', 'ricciflat', 'kahler', 'manifolds', 'together', 'with', 'a', 'choice', 'of', 'point', 'where', 'the', 'stack', 'of', 'd3branes', 'is', 'placed', 'the', 'complete', 'solution', 'then', 'describes', 'a', 'renormalisation', 'group', 'flow', 'between', 'two', 'ads', 'fixed', 'points', 'we', 'discuss', 'the', 'use', 'of', 'probe', 'euclidean', 'd3branes', 'in', 'these', 'backgrounds', 'as', 'a', 'means', 'to', 'compute', 'expectation', 'values', 'of', 'baryonic', 'operators', 'the', 'ypq', 'theories', 'are', 'used', 'as', 'illustrative', 'examples', 'throughout', 'the', 'paper', 'in', 'particular', 'we', 'present', 'supergravity', 'solutions', 'describing', 'flows', 'from', 'the', 'ypq', 'theories', 'to', 'various', 'different', 'orbifold', 'field', 'theories', 'in', 'the', 'infrared', 'and', 'successfully', 'match', 'this', 'to', 'an', 'explicit', 'field', 'theory', 'analysis']] | [-0.14986690479664208, 0.12584517421159294, -0.0634257186351246, 0.1259645122992701, -0.09549238981812128, -0.15484546808021746, -0.03391906115159925, 0.33782361202376116, -0.16562915943682024, -0.24631246243064342, 0.13236187859630927, -0.2905577860625559, -0.1716664192245755, 0.1219441779137281, -0.10741540292782106, 0.02572217737031309, -0.014485572002604044, 0.028417025535206374, -0.11962936519563314, -0.27149335095217747, 0.4322481657434395, -0.019598491671950297, 0.2726745689847976, 0.013040479906323486, 0.1247196809451719, -0.03422439008026867, -0.01742037899330034, 0.060754232204438686, -0.17301837521731236, 0.09776867922094364, 0.2944852693629612, 0.07742788782168208, 0.10478844191385363, -0.4769713809307581, -0.21864469370391584, 0.12963111872637742, 0.17849032346096197, 0.15339212655965098, -0.024294692206308525, -0.27030615062501867, 0.062106139606032944, -0.13939826120447396, -0.21006227976509503, -0.09763189330276914, -0.01448636884097346, -0.04804392232160483, -0.21293291101526274, -0.0014773214733074034, -0.07696665533209093, 0.055654602780670304, -0.08877765546951975, -0.06380449420237683, -0.0838498730252714, 0.08766701657682154, 0.13619564083331315, 0.05172628329110969, 0.1391520184338709, -0.16643786426682614, -0.1432392728143841, 0.32718366119814546, -0.08743164814392426, -0.23776348599029662, 0.12305904074424975, -0.12622924738290503, -0.15342183191595332, 0.07693433349503946, 0.1242623382521079, 0.212837117500043, -0.11115971768688046, 0.22305686466170027, -0.03906331210584499, 0.07640068534752038, 0.11490704665744775, 0.04678652809120547, 0.2651064107999822, 0.08529745902747084, 0.05373189600203816, 0.12502101413149358, 0.021150142841979414, -0.13701651252358032, -0.4539265218470946, -0.10372583283097449, -0.09046969770040728, 0.1560114295636759, -0.19078426128785086, -0.19913583054186257, 0.3531586289181745, 0.07145101597350567, 0.2149876982911973, 0.06253332010981508, 0.19524109321191235, 0.06162851595641919, 0.043091005134515296, 0.07159487754316594, 0.238683884186124, 0.17454418003615133, 0.07130135622057587, -0.18235357107526334, -0.18157808753290683, 0.21845267249509356] |
709.2895 | Products and selection principles | The product of a Sierpinski set and a Lusin set has Menger's property. The
product of a gamma set and a Lusin set has Rothberger's property.
| math.GN | the product of a sierpinski set and a lusin set has mengers property the product of a gamma set and a lusin set has rothbergers property | [['the', 'product', 'of', 'a', 'sierpinski', 'set', 'and', 'a', 'lusin', 'set', 'has', 'mengers', 'property', 'the', 'product', 'of', 'a', 'gamma', 'set', 'and', 'a', 'lusin', 'set', 'has', 'rothbergers', 'property']] | [-0.1660345865126986, 0.03028217566987643, -0.10398378552725682, 0.011047218281489152, -0.0612313926506501, -0.009528348007454323, 0.09518035959738952, 0.32192433740083987, -0.3314831531964816, -0.1514168608790407, 0.14375929706371748, -0.3983119324995921, -0.04973448676845202, 0.2237390918800464, -0.07642792595120576, 0.12198029107485826, 0.055346633307635784, 0.14036107817306542, -0.027507442551163528, -0.18177998237884962, 0.3849281072616577, -0.07635423361968535, 0.2698391755469717, 0.07385410669331367, 0.16691963460582954, -0.0034998743794858456, 0.01784048551836839, 0.1111161639340795, -0.142092361043279, 0.1466910679323169, 0.0990471071921862, 0.22352447188817537, 0.3702844868485744, -0.2544299398477261, -0.13903025731157798, 0.25337970142181104, 0.025555761960836556, -0.14597041303148636, -0.00569811355895721, -0.299099855698072, 0.03665129840373993, -0.2264776247052046, -0.13650391974414772, -0.042917588009284094, 0.11074893849973495, 0.017744078211343058, -0.2745666162898907, -0.08869587812715998, 0.1305133537031137, 0.07662629880584203, -0.020059762415117942, -0.11924129036756662, -0.05822821086845719, 0.08738734207760829, -0.09102028579666065, 0.09362804420435658, 0.07950427909739889, -0.02042714107889109, -0.13548286356784117, 0.39163852110505104, 0.008080369470497737, -0.24772938914023912, 0.14581437269225717, -0.19748279867837062, -0.17137953438437903, 0.11989767541392492, 0.07534680479707626, 0.07139073985700424, -0.15439245756715536, 0.2797601847649695, -0.24647578940941736, 0.07619204365003568, 0.14537031919910356, 0.07687484465826017, 0.0883229999946287, 0.1721011228286303, 0.14198359424391618, 0.21567196406137484, -0.03194638828818615, 0.025226507909022845, -0.3118629325181246, -0.23863540073999992, -0.24515165187991583, 0.18192616277016127, -0.14062717997428711, -0.33159516665797967, 0.38477848656475544, -0.08095121448143171, 0.13259677144770438, 0.10317008047758673, 0.1353725831095989, 0.06892300646331233, 0.08963906994232765, 0.04155639043221107, 0.08115923268577227, 0.20063024916901037, -0.04115512788009185, -0.05206618300424172, 0.07425830387868561, 0.23785460768983915] |
709.2896 | Effect of the acrylic acid content on the permeability and water uptake
of latex films | Acrylic acid (AA) is a monomer commonly employed in emulsion polymerization
to provide electrostatic colloidal stability and improve specific film
performance. The addition of AA not only modifies the kinetics of the
polymerization, but also it takes part in the interaction between colloidal
particles, which has a strong influence on their packing and consequent latex
film properties. In this contribution a theoretical modeling of the latex film
formation is presented and compared to experimental results: water vapor
permeability and latex film capacitance are studied as a function of AA
content. It has been shown that water uptake is mainly affected by film
morphology which in turn is defined by intercolloidal interaction and drying
rate.
| cond-mat.stat-mech cond-mat.mtrl-sci physics.chem-ph | acrylic acid aa is a monomer commonly employed in emulsion polymerization to provide electrostatic colloidal stability and improve specific film performance the addition of aa not only modifies the kinetics of the polymerization but also it takes part in the interaction between colloidal particles which has a strong influence on their packing and consequent latex film properties in this contribution a theoretical modeling of the latex film formation is presented and compared to experimental results water vapor permeability and latex film capacitance are studied as a function of aa content it has been shown that water uptake is mainly affected by film morphology which in turn is defined by intercolloidal interaction and drying rate | [['acrylic', 'acid', 'aa', 'is', 'a', 'monomer', 'commonly', 'employed', 'in', 'emulsion', 'polymerization', 'to', 'provide', 'electrostatic', 'colloidal', 'stability', 'and', 'improve', 'specific', 'film', 'performance', 'the', 'addition', 'of', 'aa', 'not', 'only', 'modifies', 'the', 'kinetics', 'of', 'the', 'polymerization', 'but', 'also', 'it', 'takes', 'part', 'in', 'the', 'interaction', 'between', 'colloidal', 'particles', 'which', 'has', 'a', 'strong', 'influence', 'on', 'their', 'packing', 'and', 'consequent', 'latex', 'film', 'properties', 'in', 'this', 'contribution', 'a', 'theoretical', 'modeling', 'of', 'the', 'latex', 'film', 'formation', 'is', 'presented', 'and', 'compared', 'to', 'experimental', 'results', 'water', 'vapor', 'permeability', 'and', 'latex', 'film', 'capacitance', 'are', 'studied', 'as', 'a', 'function', 'of', 'aa', 'content', 'it', 'has', 'been', 'shown', 'that', 'water', 'uptake', 'is', 'mainly', 'affected', 'by', 'film', 'morphology', 'which', 'in', 'turn', 'is', 'defined', 'by', 'intercolloidal', 'interaction', 'and', 'drying', 'rate']] | [-0.05625282253233502, 0.15790093441666886, -0.08320114801975742, -0.013661075672917727, -0.003253352756208155, -0.12779848434162877, 0.0014931638807519874, 0.43413934856653214, -0.24177619105254392, -0.31401931988981974, 0.031214972706594034, -0.2917512264370556, -0.1257577320000371, 0.11820906198344532, -0.02477884903319378, 0.04815248132526743, 0.04084917187558866, -0.05369743506142878, 0.03374377828590011, -0.22336363702789938, 0.19774006925671633, 0.09636089538710307, 0.32213355528718207, 0.19999576220700963, 0.05881348626473836, -0.01595671374795843, 0.032814246874335595, 0.0551963114134341, -0.20555825003009934, 0.06968796849085958, 0.22539087327349666, -0.006880996751895719, 0.20350178180311898, -0.45700227775800545, -0.241128246835639, -0.002544179874002538, 0.14474146654499712, 0.08744437748409675, -0.09763510789479071, -0.22685224257937048, 0.06061499391937942, -0.13641847725504333, -0.055015772478078054, -0.013530856806092558, 0.04617705984469668, 0.07605721938333153, -0.22353213791842613, 0.08675250701737112, 0.0651630194923651, 0.0919393279416635, -0.07573784137993589, -0.11317062607875704, -0.11170799458251063, 0.10706103999019329, 0.07410640101591372, 0.03300941686467391, 0.30824364272597354, -0.12981477861737717, 0.014154451557196083, 0.420519074276749, -0.05512961432074023, -0.19937707747505828, 0.2329173856785735, -0.11817995256505313, -0.03840044926258579, 0.23179414868766887, 0.1469761152974272, 0.10348989801951149, -0.18843432048549957, 0.038897119311562256, -0.015072474931984875, 0.2696936492668053, 0.15986973991353823, -0.030423372027884543, 0.18659162784481537, 0.2550549997399645, -0.02651710077230118, 0.1999363281446781, -0.06084471886804476, -0.06967926369897559, -0.18627932164982886, -0.21513081534839837, -0.1776591410481297, 0.003689011338551166, -0.07812932287319667, -0.20055273885553315, 0.3533268085911672, 0.09095550153986036, 0.14094984317115977, -0.018988041353486147, 0.24335348619296487, 0.011950155454832006, 0.07683022798912649, -0.05238833500121811, 0.28782891683214534, 0.15167413703660457, 0.1861871236964104, -0.23600599578936146, 0.1821320501642417, 0.056487334875670155] |
709.2897 | Local and Nonlocal Dispersive Turbulence | We consider the evolution of a family of 2D dispersive turbulence models. The
members of this family involve the nonlinear advection of a dynamically active
scalar field, the locality of the streamfunction-scalar relation is denoted by
$\alpha$, with smaller $\alpha$ implying increased locality. The dispersive
nature arises via a linear term whose strength is characterized by a parameter
$\epsilon$. Setting $0 < \epsilon \le 1$, we investigate the interplay of
advection and dispersion for differing degrees of locality. Specifically, we
study the forward (inverse) transfer of enstrophy (energy) under large-scale
(small-scale) random forcing. Straightforward arguments suggest that for small
$\alpha$ the scalar field should consist of progressively larger eddies, while
for large $\alpha$ the scalar field is expected to have a filamentary structure
resulting from a stretch and fold mechanism. Confirming this, we proceed to
forced/dissipative dispersive numerical experiments under weakly non-local to
local conditions. For $\epsilon \sim 1$, there is quantitative agreement
between non-dispersive estimates and observed slopes in the inverse energy
transfer regime. On the other hand, forward enstrophy transfer regime always
yields slopes that are significantly steeper than the corresponding
non-dispersive estimate. Additional simulations show the scaling in the inverse
regime to be sensitive to the strength of the dispersive term : specifically,
as $\epsilon$ decreases, the inertial-range shortens and we also observe that
the slope of the power-law decreases. On the other hand, for the same range of
$\epsilon$ values, the forward regime scaling is fairly universal.
| physics.flu-dyn physics.ao-ph | we consider the evolution of a family of 2d dispersive turbulence models the members of this family involve the nonlinear advection of a dynamically active scalar field the locality of the streamfunctionscalar relation is denoted by alpha with smaller alpha implying increased locality the dispersive nature arises via a linear term whose strength is characterized by a parameter epsilon setting 0 epsilon le 1 we investigate the interplay of advection and dispersion for differing degrees of locality specifically we study the forward inverse transfer of enstrophy energy under largescale smallscale random forcing straightforward arguments suggest that for small alpha the scalar field should consist of progressively larger eddies while for large alpha the scalar field is expected to have a filamentary structure resulting from a stretch and fold mechanism confirming this we proceed to forceddissipative dispersive numerical experiments under weakly nonlocal to local conditions for epsilon sim 1 there is quantitative agreement between nondispersive estimates and observed slopes in the inverse energy transfer regime on the other hand forward enstrophy transfer regime always yields slopes that are significantly steeper than the corresponding nondispersive estimate additional simulations show the scaling in the inverse regime to be sensitive to the strength of the dispersive term specifically as epsilon decreases the inertialrange shortens and we also observe that the slope of the powerlaw decreases on the other hand for the same range of epsilon values the forward regime scaling is fairly universal | [['we', 'consider', 'the', 'evolution', 'of', 'a', 'family', 'of', '2d', 'dispersive', 'turbulence', 'models', 'the', 'members', 'of', 'this', 'family', 'involve', 'the', 'nonlinear', 'advection', 'of', 'a', 'dynamically', 'active', 'scalar', 'field', 'the', 'locality', 'of', 'the', 'streamfunctionscalar', 'relation', 'is', 'denoted', 'by', 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709.2898 | Allowed charge transfers between coherent conductors driven by a
time-dependent scatterer | We derive constraints on the statistics of the charge transfer between two
conductors in the model of arbitrary time-dependent instant scattering of
non-interacting fermions at zero temperature. The constraints are formulated in
terms of analytic properties of the generating function: its zeroes must lie on
the negative real axis. This result generalizes existing studies for scattering
by a time-independent scatterer under time-dependent bias voltage.
| cond-mat.mes-hall | we derive constraints on the statistics of the charge transfer between two conductors in the model of arbitrary timedependent instant scattering of noninteracting fermions at zero temperature the constraints are formulated in terms of analytic properties of the generating function its zeroes must lie on the negative real axis this result generalizes existing studies for scattering by a timeindependent scatterer under timedependent bias voltage | [['we', 'derive', 'constraints', 'on', 'the', 'statistics', 'of', 'the', 'charge', 'transfer', 'between', 'two', 'conductors', 'in', 'the', 'model', 'of', 'arbitrary', 'timedependent', 'instant', 'scattering', 'of', 'noninteracting', 'fermions', 'at', 'zero', 'temperature', 'the', 'constraints', 'are', 'formulated', 'in', 'terms', 'of', 'analytic', 'properties', 'of', 'the', 'generating', 'function', 'its', 'zeroes', 'must', 'lie', 'on', 'the', 'negative', 'real', 'axis', 'this', 'result', 'generalizes', 'existing', 'studies', 'for', 'scattering', 'by', 'a', 'timeindependent', 'scatterer', 'under', 'timedependent', 'bias', 'voltage']] | [-0.20016730456336518, 0.1141921476519201, -0.06540526802564273, 0.052579355497073266, -0.043473917728988454, -0.12636547914371477, 0.034878216159995645, 0.3426262932480313, -0.22595786730016698, -0.2810350059735356, 0.034890784769231686, -0.2813914915313944, -0.10489178712305147, 0.20294045557966456, 0.02322792289487552, 0.06110203139451187, -0.01245822588680312, 0.04328015379724093, -0.1386332267720718, -0.22352066953317262, 0.35278842676780187, 0.0008867384167388082, 0.2829199546649761, 0.10388385368696618, 0.08557282738911454, 0.0868880070047453, -0.0026437917549628764, -0.017297215801590937, -0.11003179037879818, 0.057773860680754296, 0.22476977431870182, 0.016113568577566184, 0.2042909727388178, -0.4596735963714309, -0.20337508810916916, 0.08845483465120196, 0.1107894631131785, 0.10400814094464295, -0.04723340618147631, -0.2573428183241049, 0.02527085154724773, -0.1330005880954559, -0.17348554783529835, -0.022950489990762435, 0.020386312040500343, 0.056115748404408805, -0.29157170015969314, 0.12919797586800996, 0.03615536769211758, 0.06153155771607999, -0.11019782689800195, -0.11297405862569576, -0.015511585435888264, 0.10749862165585, 0.05824115749965131, -0.022059427239582874, 0.16913215939166548, -0.1307118544827972, -0.08638254063407658, 0.3342654166481225, -0.092650355421938, -0.27410505077568814, 0.1472592079662718, -0.17108387928601587, -0.08650667226902442, 0.11002718302916037, 0.14439037317060865, 0.11179198805621127, -0.16834648366784677, 0.1558672902701801, -0.06215537297248375, 0.05505428745527752, 0.07205160248122411, 0.003263391110522207, 0.24554477297351696, 0.09095608688221546, 0.052091792080318555, 0.1430108572312747, -0.04099317907093791, -0.07950322308897739, -0.3292836600157898, -0.09120690062991343, -0.24207262002164498, 0.08361666990094818, -0.10701276837062323, -0.1946148716378957, 0.42646217631408945, 0.15891818865202367, 0.21589710471744183, 0.07490757713094354, 0.3267760172020644, 0.2173823380144313, 0.04185618385236012, 0.010194768641667906, 0.1928921793405607, 0.17887987411086215, 0.08626660946356424, -0.2697969352011569, 0.04574110444809776, 0.04494557454017922] |
709.2899 | De Sitter Space and Eternity | This paper explores infrared quantum effects in the de Sitter space. The
notion of "eternal manifolds" is introduced and it is shown that in most cases
the de Sitter space doesn't belong to this class. It is unstable under small
perturbations which may cause a breakdown of the de Sitter symmetry. The de
Sitter string sigma model is discussed. It is argued that the gauge theory at
the complex coupling is dual to the matrix elements of vertex operators in the
de Sitter space, taken between the Bunch - Davies vacuum and the "out" state
without particles.The described infrared effects are likely to screen away the
cosmological constant.
| hep-th | this paper explores infrared quantum effects in the de sitter space the notion of eternal manifolds is introduced and it is shown that in most cases the de sitter space doesnt belong to this class it is unstable under small perturbations which may cause a breakdown of the de sitter symmetry the de sitter string sigma model is discussed it is argued that the gauge theory at the complex coupling is dual to the matrix elements of vertex operators in the de sitter space taken between the bunch davies vacuum and the out state without particlesthe described infrared effects are likely to screen away the cosmological constant | [['this', 'paper', 'explores', 'infrared', 'quantum', 'effects', 'in', 'the', 'de', 'sitter', 'space', 'the', 'notion', 'of', 'eternal', 'manifolds', 'is', 'introduced', 'and', 'it', 'is', 'shown', 'that', 'in', 'most', 'cases', 'the', 'de', 'sitter', 'space', 'doesnt', 'belong', 'to', 'this', 'class', 'it', 'is', 'unstable', 'under', 'small', 'perturbations', 'which', 'may', 'cause', 'a', 'breakdown', 'of', 'the', 'de', 'sitter', 'symmetry', 'the', 'de', 'sitter', 'string', 'sigma', 'model', 'is', 'discussed', 'it', 'is', 'argued', 'that', 'the', 'gauge', 'theory', 'at', 'the', 'complex', 'coupling', 'is', 'dual', 'to', 'the', 'matrix', 'elements', 'of', 'vertex', 'operators', 'in', 'the', 'de', 'sitter', 'space', 'taken', 'between', 'the', 'bunch', 'davies', 'vacuum', 'and', 'the', 'out', 'state', 'without', 'particlesthe', 'described', 'infrared', 'effects', 'are', 'likely', 'to', 'screen', 'away', 'the', 'cosmological', 'constant']] | [-0.15556669787603875, 0.2070831985291198, -0.1387180363689767, 0.13272853026375453, -0.10095301335111748, -0.1142457536787282, -0.06529651565921153, 0.28932183683266705, -0.19435420627357594, -0.22252073886621498, 0.07855677726421784, -0.2558171985253135, -0.14963328229071937, 0.11804365218077377, -0.105677691357924, 0.01008712469108368, -0.03173317519782511, 0.039103811197679174, -0.03733407700799893, -0.2655020413123872, 0.38246588667454284, 0.11985036017368852, 0.30354486466777103, -0.035345872979998486, 0.11589881806486399, -0.001312445953627613, -0.00739077108729387, 0.012303359883088182, -0.14991313009808455, 0.021479225819756354, 0.2617828878795752, 0.10536828510045448, 0.2339530522156089, -0.3701868298176293, -0.2205391346833834, 0.15577922528174437, 0.12699842134220787, 0.16936962949177337, -0.015364569099674385, -0.34213732271433467, 0.07204203368121079, -0.12594271493884168, -0.18322272476561752, -0.03433265013263395, 0.01766352443390082, -0.1478513601653835, -0.20435564829663277, 0.04103598246246437, 0.026017091234832583, -0.045020031438113374, -0.06943727388464471, -0.043679132021824336, -0.07753692618701781, 0.05202326659443919, 0.09865436523991733, 0.06914536171880002, 0.1346445425041455, -0.07210652769116738, -0.07588216739436873, 0.3689654485853476, -0.073224500491867, -0.211839212644323, 0.15578264404723646, -0.17733203293320454, -0.1277861688634224, 0.11476061124546087, 0.05683156243899715, 0.13719649477992382, -0.08037737060651601, 0.2683336254869284, 0.04098199173877729, 0.12679665056100795, 0.14523926605775117, 0.05306290439765239, 0.2366431742628044, 0.06600021636635761, 0.06810945167454291, 0.0936750947872055, -0.008251389140419872, -0.15761397813803682, -0.3847043669094967, -0.15506282050127737, -0.15491348339209907, 0.07154074386980767, -0.11503352121222617, -0.23741343159672737, 0.3018382654142366, 0.0892247930620623, 0.15492375942260445, -0.024636140878738784, 0.20100466268372105, 0.06402728676134459, 0.05528613399479225, 0.09017170977231471, 0.2907374823535575, 0.09287318256553088, 0.15343225182460568, -0.26209308909443774, -0.04272036307935263, 0.13396442446761947] |
709.29 | Compactifying normal algebraic spaces | The author wrote this note after being asked about the existence of
compactifications of algebraic spaces. Subsequent to posting the article to the
math arXiv, the author learned from Yutakaa Matsuura that the results of this
paper had been proved by Raoult in 1971, using the same techniques. Since
Raoult's article may be unknown to those working in the field, the author is
keeping this preprint on the arXiv server. However, he makes no claim of
originality.
| math.AG | the author wrote this note after being asked about the existence of compactifications of algebraic spaces subsequent to posting the article to the math arxiv the author learned from yutakaa matsuura that the results of this paper had been proved by raoult in 1971 using the same techniques since raoults article may be unknown to those working in the field the author is keeping this preprint on the arxiv server however he makes no claim of originality | [['the', 'author', 'wrote', 'this', 'note', 'after', 'being', 'asked', 'about', 'the', 'existence', 'of', 'compactifications', 'of', 'algebraic', 'spaces', 'subsequent', 'to', 'posting', 'the', 'article', 'to', 'the', 'math', 'arxiv', 'the', 'author', 'learned', 'from', 'yutakaa', 'matsuura', 'that', 'the', 'results', 'of', 'this', 'paper', 'had', 'been', 'proved', 'by', 'raoult', 'in', '1971', 'using', 'the', 'same', 'techniques', 'since', 'raoults', 'article', 'may', 'be', 'unknown', 'to', 'those', 'working', 'in', 'the', 'field', 'the', 'author', 'is', 'keeping', 'this', 'preprint', 'on', 'the', 'arxiv', 'server', 'however', 'he', 'makes', 'no', 'claim', 'of', 'originality']] | [-0.07368416527874376, 0.040525141172111034, -0.11357584187001186, 0.02933213392603456, -0.15580900245971097, -0.09950276672546017, 0.05566063891073052, 0.31431476546353415, -0.20530128804966807, -0.34133533123684556, 0.12357506565719009, -0.2924718790362883, -0.1344455665124482, 0.1555804802460204, -0.21885123336687684, -0.003356835100260612, 0.04953312523675298, 0.03255090220390182, -0.045986444569854554, -0.4211178052386171, 0.3538207257668929, 0.1089398249352694, 0.24033960588521472, 0.0770973800957252, 0.04584730983907847, 0.012481005084210713, -0.13661737822832565, -0.05256736424972156, -0.1424798321896608, 0.13099209101576553, 0.2861131043632907, 0.11844341658778783, 0.3051912782615737, -0.39210775443107676, -0.14566697888566474, 0.09893727204517315, 0.09848361488088574, 0.13627004030307657, 0.010156806697762621, -0.32642493798936667, 0.09400424202000354, -0.16151375048119868, -0.12034624658132854, 0.008727607112584673, 0.07502199348681116, -0.0121112319803184, -0.14872394085671803, -0.0021431514576665664, 0.15634914955300797, 0.12601712875460325, -0.019813295355752894, -0.10628989158584246, 0.005948578264858378, 0.11012280158894627, 0.13354203937955103, 0.08846173217630406, 0.045921210089306295, -0.05906463202738546, -0.10477768298924754, 0.33112955652177334, -0.018983432765756, -0.10246706006153927, 0.152550773780891, -0.09019117819537457, -0.20128844457212836, 0.08556397774832715, 0.1012088518136328, 0.09415159620785792, -0.17186093206347372, 0.15090692010217985, -0.11996925267464432, 0.13119123229836605, 0.19816631023575992, -0.05520686158132249, 0.10093133141727824, 0.06630690248781129, -0.019701543925820214, 0.0955620643416248, 0.05014159834612847, -0.0658099898160129, -0.291780186768033, -0.2030320943909158, -0.2223198255156412, 0.08831470922910069, 0.0852735195872619, -0.10193396652558524, 0.38615386513993144, 0.17371892241154505, 0.13241728593742377, 0.02438223203774358, 0.19815147798018237, 0.05979310034614939, 0.0022438542280150088, 0.1213522183105325, 0.2471393185413418, 0.12377740738386485, 0.23744941903523317, -0.08553014328170225, 0.10514037649294264, 0.13566299176033536] |
709.2901 | On the structure of quasi-stationary competing particle systems | We study point processes on the real line whose configurations $X$ are
locally finite, have a maximum and evolve through increments which are
functions of correlated Gaussian variables. The correlations are intrinsic to
the points and quantified by a matrix $Q=\{q_{ij}\}_{i,j\in\mathbb{N}}$. A
probability measure on the pair $(X,Q)$ is said to be quasi-stationary if the
joint law of the gaps of $X$ and of $Q$ is invariant under the evolution. A
known class of universally quasi-stationary processes is given by the Ruelle
Probability Cascades (RPC), which are based on hierarchically nested
Poisson--Dirichlet processes. It was conjectured that up to some natural
superpositions these processes exhausted the class of laws which are robustly
quasi-stationary. The main result of this work is a proof of this conjecture
for the case where $q_{ij}$ assume only a finite number of values. The result
is of relevance for mean-field spin glass models, where the evolution
corresponds to the cavity dynamics, and where the hierarchical organization of
the Gibbs measure was first proposed as an ansatz.
| math.PR cond-mat.dis-nn math-ph math.MP | we study point processes on the real line whose configurations x are locally finite have a maximum and evolve through increments which are functions of correlated gaussian variables the correlations are intrinsic to the points and quantified by a matrix qq_ij_ijinmathbbn a probability measure on the pair xq is said to be quasistationary if the joint law of the gaps of x and of q is invariant under the evolution a known class of universally quasistationary processes is given by the ruelle probability cascades rpc which are based on hierarchically nested poissondirichlet processes it was conjectured that up to some natural superpositions these processes exhausted the class of laws which are robustly quasistationary the main result of this work is a proof of this conjecture for the case where q_ij assume only a finite number of values the result is of relevance for meanfield spin glass models where the evolution corresponds to the cavity dynamics and where the hierarchical organization of the gibbs measure was first proposed as an ansatz | [['we', 'study', 'point', 'processes', 'on', 'the', 'real', 'line', 'whose', 'configurations', 'x', 'are', 'locally', 'finite', 'have', 'a', 'maximum', 'and', 'evolve', 'through', 'increments', 'which', 'are', 'functions', 'of', 'correlated', 'gaussian', 'variables', 'the', 'correlations', 'are', 'intrinsic', 'to', 'the', 'points', 'and', 'quantified', 'by', 'a', 'matrix', 'qq_ij_ijinmathbbn', 'a', 'probability', 'measure', 'on', 'the', 'pair', 'xq', 'is', 'said', 'to', 'be', 'quasistationary', 'if', 'the', 'joint', 'law', 'of', 'the', 'gaps', 'of', 'x', 'and', 'of', 'q', 'is', 'invariant', 'under', 'the', 'evolution', 'a', 'known', 'class', 'of', 'universally', 'quasistationary', 'processes', 'is', 'given', 'by', 'the', 'ruelle', 'probability', 'cascades', 'rpc', 'which', 'are', 'based', 'on', 'hierarchically', 'nested', 'poissondirichlet', 'processes', 'it', 'was', 'conjectured', 'that', 'up', 'to', 'some', 'natural', 'superpositions', 'these', 'processes', 'exhausted', 'the', 'class', 'of', 'laws', 'which', 'are', 'robustly', 'quasistationary', 'the', 'main', 'result', 'of', 'this', 'work', 'is', 'a', 'proof', 'of', 'this', 'conjecture', 'for', 'the', 'case', 'where', 'q_ij', 'assume', 'only', 'a', 'finite', 'number', 'of', 'values', 'the', 'result', 'is', 'of', 'relevance', 'for', 'meanfield', 'spin', 'glass', 'models', 'where', 'the', 'evolution', 'corresponds', 'to', 'the', 'cavity', 'dynamics', 'and', 'where', 'the', 'hierarchical', 'organization', 'of', 'the', 'gibbs', 'measure', 'was', 'first', 'proposed', 'as', 'an', 'ansatz']] | [-0.1059565782524954, 0.18539120023045483, -0.11143375616162442, 0.0738126890996978, -0.010466906797284117, -0.09667533424754556, 0.0394788825940947, 0.33744745837116735, -0.28071783480548557, -0.23878181824383474, 0.09225713674904856, -0.255046295976134, -0.1311405183824562, 0.15652588090567282, -0.022240607112028896, 0.07671378839138644, 0.017105371027237037, 0.055520493818237586, -0.035781889882478754, -0.2350852855718171, 0.38253104578725683, 0.028392927321610896, 0.2758820966084504, 0.026002028175511192, 0.12033855619484879, -0.025229393835207062, -0.005912082052111802, -0.001935951747881943, -0.11899003052703255, 0.07544752615283536, 0.22095708371672285, 0.11857769822084605, 0.2628003808465847, -0.34960984018735985, -0.21538591588373412, 0.142788849928769, 0.11658605578570412, 0.05490764165944668, 0.0104566804993038, -0.2736816017973904, 0.1159491167905239, -0.16493443632222846, -0.14210724358904292, -0.04028619229710887, 0.06572641578596636, 0.07931010200388554, -0.3085364770563044, 0.053285532724663354, 0.12362902535720778, 0.018646009941619805, -0.029185914964905593, -0.08904277580134438, -0.03133979326213253, 0.10025618751891531, 0.03372436365492906, 0.023528209734520703, 0.11694402458179279, -0.08003662547824034, -0.11860083892787172, 0.3493221926133661, -0.024255714070647073, -0.22929598745537272, 0.17885837056839388, -0.17661393790357036, -0.1345814410955287, 0.13889009724288473, 0.14721325928477583, 0.1474768081137903, -0.16335471909625468, 0.10156852319098171, -0.08501264964335063, 0.13678294156775148, 0.04523276653658797, 0.0142181950439451, 0.20034080219989608, 0.14311854772479135, 0.06920040902935144, 0.139078025617251, -0.056964088855421494, -0.1542260582784753, -0.32855096465450595, -0.15318943505153368, -0.2236516939781981, 0.0981292922239883, -0.0705874131957328, -0.18306656090333265, 0.3695835576533235, 0.08875478429515907, 0.22842119866706564, 0.07880066731357782, 0.21468538085560826, 0.16559329297677366, 0.026324075716960976, 0.06510259747710465, 0.1659307179336378, 0.16936324576788014, 0.016841494514105413, -0.17333901736929397, 0.10429630687283958, 0.0722910512415086] |
709.2902 | Problems of the Sensitivity Parameter and Its Relation to the
Time-varying Fundamental Couplings Problems | The sensitivity parameter is widely used for quantifying fine tuning.
However, examples show it fails to give correct results under certain
circumstances. We argue that these problems only occur when calculating the
sensitivity of a dimensionful mass parameter at one energy scale to the
variation of a dimensionless coupling constant at another energy scale. Thus,
by mechanisms such as dynamical symmetry breaking etc, the high sensitivity of
the energy scale parameter (\Lambda) to the dimensionless coupling constant can
affect the reliability of the sensitivity parameter through the renormalization
invariant factor of the dimensionful parameter. Theoretically, These phenomena
are similar to the problems associated with the time-varying coupling constant
discovered recently. We argue that, the reliability of the sensitivity
parameter can be improved if it is used properly.
| hep-ph | the sensitivity parameter is widely used for quantifying fine tuning however examples show it fails to give correct results under certain circumstances we argue that these problems only occur when calculating the sensitivity of a dimensionful mass parameter at one energy scale to the variation of a dimensionless coupling constant at another energy scale thus by mechanisms such as dynamical symmetry breaking etc the high sensitivity of the energy scale parameter lambda to the dimensionless coupling constant can affect the reliability of the sensitivity parameter through the renormalization invariant factor of the dimensionful parameter theoretically these phenomena are similar to the problems associated with the timevarying coupling constant discovered recently we argue that the reliability of the sensitivity parameter can be improved if it is used properly | [['the', 'sensitivity', 'parameter', 'is', 'widely', 'used', 'for', 'quantifying', 'fine', 'tuning', 'however', 'examples', 'show', 'it', 'fails', 'to', 'give', 'correct', 'results', 'under', 'certain', 'circumstances', 'we', 'argue', 'that', 'these', 'problems', 'only', 'occur', 'when', 'calculating', 'the', 'sensitivity', 'of', 'a', 'dimensionful', 'mass', 'parameter', 'at', 'one', 'energy', 'scale', 'to', 'the', 'variation', 'of', 'a', 'dimensionless', 'coupling', 'constant', 'at', 'another', 'energy', 'scale', 'thus', 'by', 'mechanisms', 'such', 'as', 'dynamical', 'symmetry', 'breaking', 'etc', 'the', 'high', 'sensitivity', 'of', 'the', 'energy', 'scale', 'parameter', 'lambda', 'to', 'the', 'dimensionless', 'coupling', 'constant', 'can', 'affect', 'the', 'reliability', 'of', 'the', 'sensitivity', 'parameter', 'through', 'the', 'renormalization', 'invariant', 'factor', 'of', 'the', 'dimensionful', 'parameter', 'theoretically', 'these', 'phenomena', 'are', 'similar', 'to', 'the', 'problems', 'associated', 'with', 'the', 'timevarying', 'coupling', 'constant', 'discovered', 'recently', 'we', 'argue', 'that', 'the', 'reliability', 'of', 'the', 'sensitivity', 'parameter', 'can', 'be', 'improved', 'if', 'it', 'is', 'used', 'properly']] | [-0.1409469323056772, 0.2008746584114714, -0.026578006283270093, 0.10756078349081725, -0.09865568891739634, -0.13890648895680288, 0.04330394414114201, 0.32921680105542106, -0.312194813629539, -0.37252279296224045, 0.10621379143521777, -0.20808761886607005, -0.11377901344112759, 0.19196962229320852, 0.0021532475911667497, 0.09230367022412499, 0.017726769751509813, 0.05108705077203005, -0.0668118875657069, -0.21387624803666525, 0.3344879538172812, 0.11180720713693561, 0.2685928683889311, 0.12627672329022527, 0.11680860757849759, -0.05195879255876121, 0.029755867759176477, 0.05666362063401914, -0.1895029473886871, 0.02584755321731791, 0.22167301303377068, 0.0546238318041671, 0.2646749699268285, -0.33782441798216245, -0.24444658839781805, 0.13637099804826022, 0.12500591246103207, 0.07444420893214584, -0.004004688911491961, -0.23125577234025077, 0.06802262778679921, -0.13978971115416136, -0.16832590810441245, -0.11999425493679412, 0.005161561698865468, -0.006207391455600874, -0.3003542986221788, 0.12039305710629743, -0.008425140677535114, -0.00327476643495203, -0.014090344130142233, -0.07651307685007377, -0.032875680166670654, 0.11387472581709589, 0.1186310166280394, 0.0013507934741851851, 0.16711263831679188, -0.14747942166446937, -0.05675568769311928, 0.38726385719487516, -0.08166393157237715, -0.23784754796349628, 0.15693802011426627, -0.10526118119701919, -0.1741839175398542, 0.11658177665603442, 0.13509252839758407, 0.09646212389439666, -0.0953583695407174, 0.12866378450531543, 0.025478938025217064, 0.22195365167530914, 0.05348287082431236, 0.07196170089429053, 0.16814731228656657, 0.1487746285732953, 0.06672232922195918, 0.06948158285107581, -0.08263952395095908, -0.0829509931422154, -0.3165241606665526, -0.09853332483862329, -0.15492399179882657, 0.038314215868242144, -0.16797955167355147, -0.10849655596319381, 0.40212322560351665, 0.20076474617785356, 0.23337524351260558, 0.00205839566857092, 0.25425285888894456, 0.17137339084104847, 0.12042916976978753, 0.009368820539418989, 0.3483209183336947, 0.06520151517969945, 0.03251496552467698, -0.26632281570644006, 0.0854865764927735, 0.02706544192537196] |
709.2903 | Hadrons in Nuclei: Experiments and Perspectives | The question of the origin of hadron masses is one major issue in the
understanding of the strong interaction. The challenge is addressed by
searching for indications of in-medium modifications of hadron properties and
studying hadrons in nuclei. The quest driving in-medium studies is to
understand the origin of hadron masses in the context of spontaneous chiral
symmetry breaking.
The experimental status of the modification of hadron properties in the
nuclear medium is discussed including experiments using hadron, heavy-ion, and
photon beams. Particular emphasis is put on the production of light mesons from
nuclei.
A number of experimental programs is underway to provide a detailed
comparison of properties of free hadrons and hadrons embedded in nuclei. The
existing experimental efforts are discussed and possibilities are introduced
for the new WASA-at-COSY facility, initially focussed on investigations of
symmetries and symmetry breaking, to contribute to the field.
| nucl-ex | the question of the origin of hadron masses is one major issue in the understanding of the strong interaction the challenge is addressed by searching for indications of inmedium modifications of hadron properties and studying hadrons in nuclei the quest driving inmedium studies is to understand the origin of hadron masses in the context of spontaneous chiral symmetry breaking the experimental status of the modification of hadron properties in the nuclear medium is discussed including experiments using hadron heavyion and photon beams particular emphasis is put on the production of light mesons from nuclei a number of experimental programs is underway to provide a detailed comparison of properties of free hadrons and hadrons embedded in nuclei the existing experimental efforts are discussed and possibilities are introduced for the new wasaatcosy facility initially focussed on investigations of symmetries and symmetry breaking to contribute to the field | [['the', 'question', 'of', 'the', 'origin', 'of', 'hadron', 'masses', 'is', 'one', 'major', 'issue', 'in', 'the', 'understanding', 'of', 'the', 'strong', 'interaction', 'the', 'challenge', 'is', 'addressed', 'by', 'searching', 'for', 'indications', 'of', 'inmedium', 'modifications', 'of', 'hadron', 'properties', 'and', 'studying', 'hadrons', 'in', 'nuclei', 'the', 'quest', 'driving', 'inmedium', 'studies', 'is', 'to', 'understand', 'the', 'origin', 'of', 'hadron', 'masses', 'in', 'the', 'context', 'of', 'spontaneous', 'chiral', 'symmetry', 'breaking', 'the', 'experimental', 'status', 'of', 'the', 'modification', 'of', 'hadron', 'properties', 'in', 'the', 'nuclear', 'medium', 'is', 'discussed', 'including', 'experiments', 'using', 'hadron', 'heavyion', 'and', 'photon', 'beams', 'particular', 'emphasis', 'is', 'put', 'on', 'the', 'production', 'of', 'light', 'mesons', 'from', 'nuclei', 'a', 'number', 'of', 'experimental', 'programs', 'is', 'underway', 'to', 'provide', 'a', 'detailed', 'comparison', 'of', 'properties', 'of', 'free', 'hadrons', 'and', 'hadrons', 'embedded', 'in', 'nuclei', 'the', 'existing', 'experimental', 'efforts', 'are', 'discussed', 'and', 'possibilities', 'are', 'introduced', 'for', 'the', 'new', 'wasaatcosy', 'facility', 'initially', 'focussed', 'on', 'investigations', 'of', 'symmetries', 'and', 'symmetry', 'breaking', 'to', 'contribute', 'to', 'the', 'field']] | [-0.09020086546300043, 0.2164821701381227, -0.11729876984167716, 0.12326321841281807, -0.0706923007130109, -0.07845855952593787, 0.00167633226334021, 0.3528948447891864, -0.16678397825052, -0.26651886885279213, 0.041010639117227805, -0.3203269571804538, -0.0003237293583565745, 0.16344872162324087, 0.05648575987795303, 0.10234425418592732, 0.05254961518763468, -0.012658637631804972, -0.03330430286968576, -0.18382949143054028, 0.35156415973565186, 0.1067944324768052, 0.24981517638240394, 0.18810631036116132, 0.042815234117081456, 0.01679887624762567, -0.07042194749188513, -0.036745078013888724, -0.09999403437792227, 0.11359738038939621, 0.24130986106044067, 0.09637570909449253, 0.18344661140621737, -0.4306948262042013, -0.18287092868624064, 0.09974309029218195, 0.12415817670427777, 0.1290575959254056, -0.15936015262589628, -0.2963663537681488, 0.06478549775262042, -0.16276497248688648, -0.21076642244347724, -0.0804210876532156, -0.00472480059232049, 0.016783016598944007, -0.22140494617633522, 0.01597798057582936, 0.002232878374192735, 0.0867486442262628, -0.05120732639916241, -0.16988482520883452, 0.003046365621788748, 0.06578026148651181, 0.1397744925275188, 0.05111028555587962, 0.16703996923270412, -0.2190220312215388, -0.16169133268232488, 0.48202471985353224, 0.03483332027520599, -0.1079504133619625, 0.17416172140631184, -0.17670097438746998, -0.18237685519752317, 0.11242417295238581, 0.23561187858596958, 0.07842806305350929, -0.17815895295091744, 0.09223550903763429, -0.0267469583593052, 0.15265926064618318, 0.030485871442240374, 0.110230050027242, 0.23515231686419455, 0.2671472346329869, -0.052956782620207504, 0.0979123546195955, -0.05969003114369116, -0.11101487619995043, -0.3505874161865434, -0.11201591129767997, -0.11842759262834643, 0.01706187173419086, 0.00906362004371376, -0.04994758226716056, 0.4293807744819286, 0.10425453017754802, 0.2196022102801964, -0.08864195741038641, 0.28105780641741024, 0.016043636511112083, 0.06008247372790657, 0.007395159626572297, 0.315408445345559, 0.20159351083064644, 0.10902224109861358, -0.3031728034550003, 0.041730062525462484, 0.06124011506165924] |
709.2904 | Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model | In a 4D chiral Thirring model we analyse the possibility that radiative
corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By
studying the effective potential, we verified that the chiral current
$\bar\psi\gamma^{\mu} \gamma_5 \psi$ may assume a nonzero vacuum expectation
value which triggers the Lorentz and CPT violations. Furthermore, by making
fluctuations on the minimum of the potential we dynamically induce a bumblebee
like model containing a Chern-Simons term.
| hep-th | in a 4d chiral thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of lorentz and cpt symmetry by studying the effective potential we verified that the chiral current barpsigammamu gamma_5 psi may assume a nonzero vacuum expectation value which triggers the lorentz and cpt violations furthermore by making fluctuations on the minimum of the potential we dynamically induce a bumblebee like model containing a chernsimons term | [['in', 'a', '4d', 'chiral', 'thirring', 'model', 'we', 'analyse', 'the', 'possibility', 'that', 'radiative', 'corrections', 'may', 'produce', 'spontaneous', 'breaking', 'of', 'lorentz', 'and', 'cpt', 'symmetry', 'by', 'studying', 'the', 'effective', 'potential', 'we', 'verified', 'that', 'the', 'chiral', 'current', 'barpsigammamu', 'gamma_5', 'psi', 'may', 'assume', 'a', 'nonzero', 'vacuum', 'expectation', 'value', 'which', 'triggers', 'the', 'lorentz', 'and', 'cpt', 'violations', 'furthermore', 'by', 'making', 'fluctuations', 'on', 'the', 'minimum', 'of', 'the', 'potential', 'we', 'dynamically', 'induce', 'a', 'bumblebee', 'like', 'model', 'containing', 'a', 'chernsimons', 'term']] | [-0.17590616270899773, 0.2527692425863019, -0.049704378810045975, 0.11245637096331589, -0.0996588079292061, -0.13729047056819713, 0.056150720960327555, 0.29588749707742995, -0.19598030911126574, -0.261285426028605, 0.061611420692809456, -0.2605744001056467, -0.1563357263803482, 0.06497001681875969, 0.030448563223970788, 0.03403981948005302, -0.05454988157642739, 0.04760973175455417, -0.10800503061119733, -0.14511293999052474, 0.3072866110729852, 0.03792241314492587, 0.28594053112236517, 0.08948440927612994, 0.09240874006812061, -0.031026986367734415, 0.03448135798264827, 0.003045577449457986, -0.07788320836781558, 0.039438786783388684, 0.0853652050452573, 0.03893089123469378, 0.17323424315545707, -0.45204015459333147, -0.24222226209406342, 0.1476032953709364, 0.07842958067942943, 0.20063967811708738, -0.1063551757035644, -0.33540748107646196, 0.050537098651485785, -0.20639015796727367, -0.18576004457926112, -0.1509732990658709, 7.129962822156293e-05, -0.13013533646506922, -0.35327183782189553, 0.10472091844297081, 0.01862963672195162, 0.01575192967429757, -0.051240062257940214, -0.05139107923688633, -0.07249742399435491, 0.024951402460491018, 0.12409956454898098, 0.0426150607469026, 0.16189732869721152, -0.20280841583652157, -0.1418529649930341, 0.45204160373125757, -0.13310145204886795, -0.2043192711924868, 0.10156274863651821, -0.14585913659871688, -0.125702769761639, 0.08301826199250562, 0.1179586914767112, 0.07424498010493283, -0.1479481151726629, 0.1461528020761242, -0.014220673936818327, 0.1284343990863168, 0.058366821839341096, 0.023183638782107403, 0.2726356523377555, 0.06261742310598492, 0.029147968334811074, 0.11357061476114073, -0.04828380540212882, -0.10996816294666911, -0.42190648321328417, -0.12462848117242434, -0.13611307105581674, 0.12877430256235778, -0.08211889527696517, -0.10651663284349655, 0.4022936182761831, 0.1628442896746232, 0.1650801509219621, 0.013442881762291239, 0.23425709411634932, 0.11691847917224679, 0.1372064575353371, 0.028942743502557277, 0.2941089385114278, 0.09947555532812008, 0.06209539458421724, -0.3485318675570722, -0.024910214529622214, 0.09184688928404025] |
709.2905 | In Search of Quantum de Sitter Space: Generalizing the Kodama State | The Kodama state is unique in being an exact solution to all the constraints
of quantum gravity that also has a well defined semi-classical interpretation
as the quantum version of a classical spacetime, namely de Sitter or anti-de
sitter space. Despite this, the state fails to pass some of the key tests of a
physically realistic quantum state. In an attempt to resolve this problem, we
track down the root of the problem to a choice for a particular parameter: the
Immirzi parameter. The Kodama state takes this parameter to be complex, whereas
modern formulations of canonical quantum gravity require that the parameter is
real. We generalize the Kodama state to real values of the Immirzi parameter,
and find that the generalization opens up a large Hilbert space of states, one
of which can be directly interpreted as particular slicing of de Sitter space.
We then show that these states resolve, or are expected to resolve many of the
problems associated with the original version of the Kodama state. In order to
resolve the interpretation of the multitude of states, we develop a new model
of covariant classical and quantum gravity where the full Lorentz group is
retained as a local symmetry group, and the canonical evolution generated by
the constraints has a close relation to a larger group: the de Sitter group.
This formalism gives strong evidence that the multitude of generalized Kodama
states can be unified into a single quantum state that is quantum de Sitter
space.
| gr-qc hep-th | the kodama state is unique in being an exact solution to all the constraints of quantum gravity that also has a well defined semiclassical interpretation as the quantum version of a classical spacetime namely de sitter or antide sitter space despite this the state fails to pass some of the key tests of a physically realistic quantum state in an attempt to resolve this problem we track down the root of the problem to a choice for a particular parameter the immirzi parameter the kodama state takes this parameter to be complex whereas modern formulations of canonical quantum gravity require that the parameter is real we generalize the kodama state to real values of the immirzi parameter and find that the generalization opens up a large hilbert space of states one of which can be directly interpreted as particular slicing of de sitter space we then show that these states resolve or are expected to resolve many of the problems associated with the original version of the kodama state in order to resolve the interpretation of the multitude of states we develop a new model of covariant classical and quantum gravity where the full lorentz group is retained as a local symmetry group and the canonical evolution generated by the constraints has a close relation to a larger group the de sitter group this formalism gives strong evidence that the multitude of generalized kodama states can be unified into a single quantum state that is quantum de sitter space | [['the', 'kodama', 'state', 'is', 'unique', 'in', 'being', 'an', 'exact', 'solution', 'to', 'all', 'the', 'constraints', 'of', 'quantum', 'gravity', 'that', 'also', 'has', 'a', 'well', 'defined', 'semiclassical', 'interpretation', 'as', 'the', 'quantum', 'version', 'of', 'a', 'classical', 'spacetime', 'namely', 'de', 'sitter', 'or', 'antide', 'sitter', 'space', 'despite', 'this', 'the', 'state', 'fails', 'to', 'pass', 'some', 'of', 'the', 'key', 'tests', 'of', 'a', 'physically', 'realistic', 'quantum', 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709.2906 | Uniform estimates for some paraproducts | We establish $L^p\times L^q$ to $L^r$ estimates for some paraproducts, which
arise in the study of the bilinear Hilbert transform along curves.
| math.CA | we establish lptimes lq to lr estimates for some paraproducts which arise in the study of the bilinear hilbert transform along curves | [['we', 'establish', 'lptimes', 'lq', 'to', 'lr', 'estimates', 'for', 'some', 'paraproducts', 'which', 'arise', 'in', 'the', 'study', 'of', 'the', 'bilinear', 'hilbert', 'transform', 'along', 'curves']] | [-0.11649560699747367, 0.027660458674125202, -0.0908927997066216, 0.19019123369997198, -0.10367527985098687, -0.14398544789715248, 0.010654551400379702, 0.33827316405420954, -0.4039186646484516, -0.11676020170985298, 0.19909334571672266, -0.2560707303610715, -0.13644765884700147, 0.25386016070842743, -0.13784216200424868, 0.03908053325721994, 0.023240638050166042, -0.008198629260401834, -0.1763809999789704, -0.2327778048559346, 0.37681054222312843, -0.12295588228682225, 0.16238650205460461, -0.024639948017217896, 0.04133771867914633, 0.06860094775699756, -0.061392851639539, -0.17172122340310703, -0.18636558272621848, 0.2026331718503074, 0.2283082413063808, 0.06050530482422222, 0.21456354610960593, -0.4030667082829909, -0.16517581346190788, 0.23182605355131355, 0.11072511954063718, -0.04533848503541032, -0.056782388467003, -0.3016384941610423, 0.06258438849313692, -0.034017828039147636, -0.1507963253481483, -0.11735695887314664, -0.05803441734645854, 0.09132591460365802, -0.3790400529449636, 0.08255113822154024, 0.12002858731218359, 0.07647222094237804, -0.14617765343494035, -0.129843526519835, 0.033065631350671705, 0.010434977011755109, 0.07181212399154902, 0.046728058072569016, 0.016920690721070223, -0.0924600310284983, -0.06926807359030301, 0.2912179997021502, -0.11462523828165351, -0.2299163807183504, 0.1120273403992707, -0.20137288760055194, -0.1570072534748099, 0.03676433353261514, 0.22975505388934503, 0.08118213828526098, -0.12604054700667885, 0.15673713161694733, -0.10033066473393278, 0.04207607341760939, 0.06405451821840623, 0.13340529714795676, 0.02524846301689236, 0.007961052046580748, 0.09981715230440552, 0.1625648552012122, -0.08287145777351478, -0.12371146433394063, -0.35719082301313226, -0.22723729121075434, -0.10682339195839384, 0.012280937114899809, -0.10215652058832347, -0.15906194771047344, 0.3919158384881236, 0.07750135033645413, 0.27208742973479355, 0.12473532913612541, 0.1507570528509942, 0.18528757986760783, 0.06215405912900513, 0.0029207890091294594, 0.21217904788764744, 0.18538589805195277, 0.06381767128848216, -0.1974216653880748, -0.05877654637548734, 0.26201450888236816] |
709.2907 | A bilinear oscillatory integral along parabolas | We establish an $L^\infty\times L^2 \to L^2$ norm estimate for a bilinear
oscillatory integral along parabolas incorporating oscillatory factors
$e^{i|t|^{-\beta}}$.
| math.CA | we establish an linftytimes l2 to l2 norm estimate for a bilinear oscillatory integral along parabolas incorporating oscillatory factors eitbeta | [['we', 'establish', 'an', 'linftytimes', 'l2', 'to', 'l2', 'norm', 'estimate', 'for', 'a', 'bilinear', 'oscillatory', 'integral', 'along', 'parabolas', 'incorporating', 'oscillatory', 'factors', 'eitbeta']] | [-0.23557309288945463, 0.038430271910328884, -0.0910270650913137, 0.20019321060842937, -0.13642176165659395, -0.0690161671437737, -0.024169157466126814, 0.38499345175094074, -0.3842256690065066, -0.09100088777227534, 0.15124404438150427, -0.2709469182623757, -0.174219427982785, 0.21536396257579327, -0.09835212796719538, 0.08743234082228607, 0.1165425037809958, 0.07635470205504033, -0.18607514434390598, -0.12460342762319164, 0.3484220014264186, -0.05546637583110067, 0.13166869969831574, -0.0465519003984001, 0.13068700747357476, 0.0021008371065060296, -0.03845654505615433, -0.14617811308966744, -0.21087009268295434, 0.21453507327371174, 0.21592888008389208, -0.06058088472733895, 0.2861854230157203, -0.46235911672314006, -0.15879322526355585, 0.19017391305209863, 0.23052767678422648, -0.03543963573045201, 0.0005248699130283461, -0.319902496619357, 0.01707990596898728, -0.06590478194670545, -0.2701501680745019, -0.22643262499736416, 0.042846450271705784, 0.07596083471758498, -0.5096740432911449, 0.1634988852052225, 0.09420437852127685, 0.08199296700250772, -0.22345581999979913, -0.14314582229902348, 0.09973166427678531, 0.08566843094821605, 0.09999499294079012, 0.09621724693311585, 0.06923987305102249, -0.08396595530211926, -0.030108176068299346, 0.13434755636586082, -0.17624910010231865, -0.2422922266026338, 0.0635753338639107, -0.06445113859242863, -0.07193553613291846, 0.09168313164263964, 0.1982440707894663, 0.039027211256325245, -0.1468631274636007, 0.049856106026305094, -0.02133834444814258, 0.1269398969080713, 0.14212227291944954, 0.044369830646448664, 0.013298686910679357, 0.0639034565538168, 0.24566677088538805, 0.16472264731095898, -0.08459202514819077, -0.09350334273444282, -0.3765021181768841, -0.19069943979330775, -0.15465194235245386, 0.09215639973990619, -0.17873977147974074, -0.21909699113004738, 0.3509563437352578, -0.07317594811320305, 0.24013837261332405, 0.07403024291205737, 0.24910656859477362, 0.21364469329516092, 0.07215474142382543, 0.11404374060738418, 0.23436752499805558, 0.16944830802579722, 0.08505702034259836, -0.2350431297802263, -0.017993369191471074, 0.2505755204086502] |
709.2908 | Three lectures on elliptic surfaces and curves of high rank | Over the past two years we have improved several of the (Mordell-Weil) rank
records for elliptic curves over Q and nonconstant elliptic curves over Q(t).
For example, we found the first example of a curve E/Q with 28 independent
points P_i in E(Q) (the previous record was 24, by R.Martin and W.McMillen
2000), and the first example of a curve over Q with Mordell-Weil group
isomorphic with (Z/2Z) x Z^18 (the previous rank record for a curve with a
2-torsion point was 15, by Dujella 2002). In these lectures we give some of the
background, theory, and computational tools that led to these new records and
related applications.
I Context and overview: the theorems of Mordell(-Weil) and Mazur; the rank
problem; the approaches of Neron--Shioda and Mestre; elliptic surfaces and
Neron specialization; fields other than Q.
II Elliptic surfaces and K3 surfaces: the Mordell-Weil and Neron-Severi
groups; K3 surfaces of high Neron-Severi rank and their moduli; an elliptic K3
surface over Q of Mordell-Weil rank 17. Some other applications of K3 surfaces
of high rank and their moduli.
III Computational issues, techniques, and results: slices of Niemeier
lattices; finding and transforming models of K3 surfaces of high rank;
searching for good specializations. Summary of new rank records for elliptic
curves.
| math.NT math.AG | over the past two years we have improved several of the mordellweil rank records for elliptic curves over q and nonconstant elliptic curves over qt for example we found the first example of a curve eq with 28 independent points p_i in eq the previous record was 24 by rmartin and wmcmillen 2000 and the first example of a curve over q with mordellweil group isomorphic with z2z x z18 the previous rank record for a curve with a 2torsion point was 15 by dujella 2002 in these lectures we give some of the background theory and computational tools that led to these new records and related applications i context and overview the theorems of mordellweil and mazur the rank problem the approaches of neronshioda and mestre elliptic surfaces and neron specialization fields other than q ii elliptic surfaces and k3 surfaces the mordellweil and neronseveri groups k3 surfaces of high neronseveri rank and their moduli an elliptic k3 surface over q of mordellweil rank 17 some other applications of k3 surfaces of high rank and their moduli iii computational issues techniques and results slices of niemeier lattices finding and transforming models of k3 surfaces of high rank searching for good specializations summary of new rank records for elliptic curves | [['over', 'the', 'past', 'two', 'years', 'we', 'have', 'improved', 'several', 'of', 'the', 'mordellweil', 'rank', 'records', 'for', 'elliptic', 'curves', 'over', 'q', 'and', 'nonconstant', 'elliptic', 'curves', 'over', 'qt', 'for', 'example', 'we', 'found', 'the', 'first', 'example', 'of', 'a', 'curve', 'eq', 'with', '28', 'independent', 'points', 'p_i', 'in', 'eq', 'the', 'previous', 'record', 'was', '24', 'by', 'rmartin', 'and', 'wmcmillen', '2000', 'and', 'the', 'first', 'example', 'of', 'a', 'curve', 'over', 'q', 'with', 'mordellweil', 'group', 'isomorphic', 'with', 'z2z', 'x', 'z18', 'the', 'previous', 'rank', 'record', 'for', 'a', 'curve', 'with', 'a', '2torsion', 'point', 'was', '15', 'by', 'dujella', 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709.2909 | A Quantum Cosmology: No Dark Matter, Dark Energy nor Accelerating
Universe | We show that modelling the universe as a pre-geometric system with emergent
quantum modes, and then constructing the classical limit, we obtain a new
account of space and gravity that goes beyond Newtonian gravity even in the
non-relativistic limit. This account does not require dark matter to explain
the spiral galaxy rotation curves, and explains as well the observed
systematics of black hole masses in spherical star systems, the bore hole $g$
anomalies, gravitational lensing and so on. As well the dynamics has a Hubble
expanding universe solution that gives an excellent parameter-free account of
the supernovae and gamma-ray-burst red-shift data, without dark energy or dark
matter. The Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) metric is derived
from this dynamics, but is shown not satisfy the General Relativity based
Friedmann equations. It is noted that General Relativity dynamics only permits
an expanding flat 3-space solution if the energy density in the pressure-less
dust approximation is non-zero. As a consequence dark energy and dark matter
are required in this cosmological model, and as well the prediction of a future
exponential accelerating Hubble expansion. The FLRW $\Lambda$CDM model
data-based parameter values, $\Omega_\Lambda=0.73$, $\Omega_{DM}=0.27$, are
derived within the quantum cosmology model, but are shown to be merely
artifacts of using the Friedmann equations in fitting the red-shift data.
| physics.gen-ph | we show that modelling the universe as a pregeometric system with emergent quantum modes and then constructing the classical limit we obtain a new account of space and gravity that goes beyond newtonian gravity even in the nonrelativistic limit this account does not require dark matter to explain the spiral galaxy rotation curves and explains as well the observed systematics of black hole masses in spherical star systems the bore hole g anomalies gravitational lensing and so on as well the dynamics has a hubble expanding universe solution that gives an excellent parameterfree account of the supernovae and gammarayburst redshift data without dark energy or dark matter the friedmannlemaitrerobertsonwalker flrw metric is derived from this dynamics but is shown not satisfy the general relativity based friedmann equations it is noted that general relativity dynamics only permits an expanding flat 3space solution if the energy density in the pressureless dust approximation is nonzero as a consequence dark energy and dark matter are required in this cosmological model and as well the prediction of a future exponential accelerating hubble expansion the flrw lambdacdm model databased parameter values omega_lambda073 omega_dm027 are derived within the quantum cosmology model but are shown to be merely artifacts of using the friedmann equations in fitting the redshift data | [['we', 'show', 'that', 'modelling', 'the', 'universe', 'as', 'a', 'pregeometric', 'system', 'with', 'emergent', 'quantum', 'modes', 'and', 'then', 'constructing', 'the', 'classical', 'limit', 'we', 'obtain', 'a', 'new', 'account', 'of', 'space', 'and', 'gravity', 'that', 'goes', 'beyond', 'newtonian', 'gravity', 'even', 'in', 'the', 'nonrelativistic', 'limit', 'this', 'account', 'does', 'not', 'require', 'dark', 'matter', 'to', 'explain', 'the', 'spiral', 'galaxy', 'rotation', 'curves', 'and', 'explains', 'as', 'well', 'the', 'observed', 'systematics', 'of', 'black', 'hole', 'masses', 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709.291 | Entanglement, weak values, and the precise inference of joint
measurement outcomes for non-commuting observable pairs | The problem of inferring the outcome of a simultaneous measurement of two
non-commuting observables is addressed. We show that for certain pairs with
dense spectra, precise inferences of the measurement outcomes are possible in
pre-and post-selected ensembles, and if the selections involve entangled states
with some other system. We show that the problem is related to the problem of
assigning weak values to a continuous family of operators, and give explicit
examples where this problem is solvable. Some foundational implications are
briefly discussed.
| quant-ph | the problem of inferring the outcome of a simultaneous measurement of two noncommuting observables is addressed we show that for certain pairs with dense spectra precise inferences of the measurement outcomes are possible in preand postselected ensembles and if the selections involve entangled states with some other system we show that the problem is related to the problem of assigning weak values to a continuous family of operators and give explicit examples where this problem is solvable some foundational implications are briefly discussed | [['the', 'problem', 'of', 'inferring', 'the', 'outcome', 'of', 'a', 'simultaneous', 'measurement', 'of', 'two', 'noncommuting', 'observables', 'is', 'addressed', 'we', 'show', 'that', 'for', 'certain', 'pairs', 'with', 'dense', 'spectra', 'precise', 'inferences', 'of', 'the', 'measurement', 'outcomes', 'are', 'possible', 'in', 'preand', 'postselected', 'ensembles', 'and', 'if', 'the', 'selections', 'involve', 'entangled', 'states', 'with', 'some', 'other', 'system', 'we', 'show', 'that', 'the', 'problem', 'is', 'related', 'to', 'the', 'problem', 'of', 'assigning', 'weak', 'values', 'to', 'a', 'continuous', 'family', 'of', 'operators', 'and', 'give', 'explicit', 'examples', 'where', 'this', 'problem', 'is', 'solvable', 'some', 'foundational', 'implications', 'are', 'briefly', 'discussed']] | [-0.1460323560511671, 0.1546053104775857, -0.03562736268301146, 0.07653441198495586, -0.05257581739619105, -0.1656250939199544, 0.028273555307076818, 0.38461093909769173, -0.2773557607567005, -0.2713244111355708, 0.11019570702905711, -0.27834592220452, -0.11259374159377024, 0.21175101561000548, -0.059168049998312114, 0.09329510120978629, 0.13957727185579533, 0.05504287898551718, -0.0957328792870415, -0.24968091629625086, 0.3886164776217866, -0.01208880925775472, 0.22441965314638185, 0.053966862402003574, 0.10227296553013554, 0.03701662075851696, -0.04304224699286811, 0.0326141191040536, -0.11109826522574238, 0.1208879758613689, 0.27465565733475533, 0.1968899023079549, 0.2664085355845381, -0.3646457954029362, -0.18004908168643532, 0.17262292887835975, 0.07157509299892797, 0.135946461543755, -0.032685252708798074, -0.28441050491598713, 0.05770434248429465, -0.1330305703786617, -0.10520155602401257, -0.0803079115989876, 0.022377215146300304, 0.024008084930120462, -0.30383300727390383, 0.08647910405107471, 0.043167222498464455, 0.02232829743731698, -0.05476422810293061, -0.10837006500321833, 0.04061890751437609, 0.12562333770006537, 0.03294133150624672, -0.03865559767168689, 0.09225997760757265, -0.11420306173736701, -0.16461316790117556, 0.3804187937373161, 0.021068191697192658, -0.23486563941205751, 0.16004809676052398, -0.14378403210788068, -0.20699503665638483, 0.03397567391799516, 0.10716342674680503, 0.1534205409754292, -0.11918045224689217, 0.0509755619147972, -0.0928887496702373, 0.11715937892805381, 0.03323012302315469, 0.0998182260622102, 0.18234972054340753, 0.09911744767822415, 0.06669562479413776, 0.1452491917171942, -0.0007503685339477407, -0.09677162115723006, -0.35227979692709016, -0.1285175221399909, -0.1506932545986296, 0.059446263643183624, -0.046904106739086536, -0.14642989670251866, 0.38699389123413935, 0.17289581461753473, 0.25398756455944244, 0.03649169193434877, 0.24751663953065872, 0.12325772437749498, -0.034164936764233086, 0.012433279086891786, 0.2431410946188977, 0.15522357300821557, 0.009005593898964215, -0.19679619437532433, 0.07570219175688114, 0.03699132341173399] |
709.2911 | Radio Jets in Galaxies with Actively Accreting Black Holes: new insights
from the SDSS | The majority of nearby radio-loud AGN are found in massive, old elliptical
galaxies with weak emission lines. At high redshifts,however, most known radio
AGN have strong emission lines. In this paper, we examine a subset of radio AGN
with emission lines selected from the Sloan Digital Sky Survey. The probability
for a nearby radio AGN to have emission lines is a strongly decreasing function
of galaxy mass and an increasing function of radio luminosity above 10^25 W/Hz.
Emission line and radio luminosities are correlated, but with large dispersion.
At a given radio power, AGN with small black holes have higher [OIII]
luminosities (which we interpret as higher accretion rates) than AGN with big
black holes. However, if we scale both radio and emission line luminosities by
the black hole mass, we find a correlation between normalized radio power and
accretion rate in Eddington units that is independent of black hole mass. There
is also a clear correlation between normalized radio power and the age of the
stellar population in the galaxy. Present-day AGN with the highest normalized
radio powers are confined to galaxies with small black holes. High-redshift,
high radio-luminosity AGN could be explained if big black holes were similarly
active at earlier cosmic epochs. To investigate why only a small fraction of
emission line AGN become radio loud, we create matched samples of radio-loud
and radio-quiet AGN and compare their host galaxy properties and environments.
The main difference lies in their environments; our local density estimates are
a factor 2 larger around the radio-loud AGN. We propose a scenario in which
radio-loud AGN with emission lines are located in galaxies where accretion of
both cold and hot gas can occur simultaneously. (Abridged)
| astro-ph | the majority of nearby radioloud agn are found in massive old elliptical galaxies with weak emission lines at high redshiftshowever most known radio agn have strong emission lines in this paper we examine a subset of radio agn with emission lines selected from the sloan digital sky survey the probability for a nearby radio agn to have emission lines is a strongly decreasing function of galaxy mass and an increasing function of radio luminosity above 1025 whz emission line and radio luminosities are correlated but with large dispersion at a given radio power agn with small black holes have higher oiii luminosities which we interpret as higher accretion rates than agn with big black holes however if we scale both radio and emission line luminosities by the black hole mass we find a correlation between normalized radio power and accretion rate in eddington units that is independent of black hole mass there is also a clear correlation between normalized radio power and the age of the stellar population in the galaxy presentday agn with the highest normalized radio powers are confined to galaxies with small black holes highredshift high radioluminosity agn could be explained if big black holes were similarly active at earlier cosmic epochs to investigate why only a small fraction of emission line agn become radio loud we create matched samples of radioloud and radioquiet agn and compare their host galaxy properties and environments the main difference lies in their environments our local density estimates are a factor 2 larger around the radioloud agn we propose a scenario in which radioloud agn with emission lines are located in galaxies where accretion of both cold and hot gas can occur simultaneously abridged | [['the', 'majority', 'of', 'nearby', 'radioloud', 'agn', 'are', 'found', 'in', 'massive', 'old', 'elliptical', 'galaxies', 'with', 'weak', 'emission', 'lines', 'at', 'high', 'redshiftshowever', 'most', 'known', 'radio', 'agn', 'have', 'strong', 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709.2912 | Cosmological Constraints on Dissipative Models of Inflation | (Abridged) We study dissipative inflation in the regime where the dissipative
term takes a specific form, \Gamma=\Gamma(\phi), analyzing two models in the
weak and strong dissipative regimes with a SUSY breaking potential. After
developing intuition about the predictions from these models through analytic
approximations, we compute the predicted cosmological observables through full
numerical evolution of the equations of motion, relating the mass scale and
scale of dissipation to the characteristic amplitude and shape of the
primordial power spectrum. We then use Markov Chain Monte Carlo techniques to
constrain a subset of the models with cosmological data from the cosmic
microwave background (WMAP three-year data) and large scale structure (SDSS
Luminous Red Galaxy power spectrum). We find that the posterior distributions
of the dissipative parameters are highly non-Gaussian and their allowed ranges
agree well with the expectations obtained using analytic approximations. In the
weak regime, only the mass scale is tightly constrained; conversely, in the
strong regime, only the dissipative coefficient is tightly constrained. A lower
limit is seen on the inflation scale: a sub-Planckian inflaton is disfavoured
by the data. In both weak and strong regimes, we reconstruct the limits on the
primordial power spectrum and show that these models prefer a {\it red}
spectrum, with no significant running of the index. We calculate the reheat
temperature and show that the gravitino problem can be overcome with large
dissipation, which in turn leads to large levels of non-Gaussianity: if
dissipative inflation is to evade the gravitino problem, the predicted level of
non-Gaussianity might be seen by the Planck satellite.
| astro-ph hep-ph hep-th | abridged we study dissipative inflation in the regime where the dissipative term takes a specific form gammagammaphi analyzing two models in the weak and strong dissipative regimes with a susy breaking potential after developing intuition about the predictions from these models through analytic approximations we compute the predicted cosmological observables through full numerical evolution of the equations of motion relating the mass scale and scale of dissipation to the characteristic amplitude and shape of the primordial power spectrum we then use markov chain monte carlo techniques to constrain a subset of the models with cosmological data from the cosmic microwave background wmap threeyear data and large scale structure sdss luminous red galaxy power spectrum we find that the posterior distributions of the dissipative parameters are highly nongaussian and their allowed ranges agree well with the expectations obtained using analytic approximations in the weak regime only the mass scale is tightly constrained conversely in the strong regime only the dissipative coefficient is tightly constrained a lower limit is seen on the inflation scale a subplanckian inflaton is disfavoured by the data in both weak and strong regimes we reconstruct the limits on the primordial power spectrum and show that these models prefer a it red spectrum with no significant running of the index we calculate the reheat temperature and show that the gravitino problem can be overcome with large dissipation which in turn leads to large levels of nongaussianity if dissipative inflation is to evade the gravitino problem the predicted level of nongaussianity might be seen by the planck satellite | [['abridged', 'we', 'study', 'dissipative', 'inflation', 'in', 'the', 'regime', 'where', 'the', 'dissipative', 'term', 'takes', 'a', 'specific', 'form', 'gammagammaphi', 'analyzing', 'two', 'models', 'in', 'the', 'weak', 'and', 'strong', 'dissipative', 'regimes', 'with', 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709.2913 | Fermion family number and the Z-Z$^{\prime}$ mixing in the 3-3-1 model
with right-handed neutrinos | Theoretical consistency of the 3-3-1 model with right-handed neutrinos
demands that the number of family of fermions be exactly equal to three. In
this brief report we show that such theoretical requirement results in a clean
and severe bound on the Z-Z$^{\prime}$ mixing angle: $-3,979\times
10^{-3}<\phi<1,309\times 10^{-4} {with 90% CL}$.
| hep-ph | theoretical consistency of the 331 model with righthanded neutrinos demands that the number of family of fermions be exactly equal to three in this brief report we show that such theoretical requirement results in a clean and severe bound on the zzprime mixing angle 3979times 103phi1309times 104 with 90 cl | [['theoretical', 'consistency', 'of', 'the', '331', 'model', 'with', 'righthanded', 'neutrinos', 'demands', 'that', 'the', 'number', 'of', 'family', 'of', 'fermions', 'be', 'exactly', 'equal', 'to', 'three', 'in', 'this', 'brief', 'report', 'we', 'show', 'that', 'such', 'theoretical', 'requirement', 'results', 'in', 'a', 'clean', 'and', 'severe', 'bound', 'on', 'the', 'zzprime', 'mixing', 'angle', '3979times', '103phi1309times', '104', 'with', '90', 'cl']] | [-0.13569370463180044, 0.23459471311070956, 0.020504341596582282, 0.06117461403240062, -0.04279549097797523, -0.15446841680871634, 0.11965027121671785, 0.31141133753893274, -0.17054363534164926, -0.37618382174211246, 0.05807938997653158, -0.3000316034789042, -0.07173209977918305, 0.1668302272397947, -0.02672851161090269, 0.039244070319303624, 0.09090827954544996, 0.010052049105676511, -0.0651847289482248, -0.2851584725237141, 0.2353709241336522, 0.02457221830263734, 0.28840304748155177, 0.10749875113833696, 0.05720772065493899, -0.05752128889434971, 0.017812019050931365, -0.04624400606068472, -0.12585954489532014, 0.06661594777445619, 0.1341809372922095, 0.09615183488737482, 0.15076950782289109, -0.43459022634973127, -0.13724452507449314, 0.10090867380495183, 0.10590369458077475, 0.059146520836899676, -0.08665683040696119, -0.2643582891711655, 0.09127054874746439, -0.21795560681979018, -0.11464040935970843, -0.019395919943538804, -0.03803862357744947, -0.08753626378408323, -0.2890415286528878, 0.09740485392588501, 0.028023025874669354, 0.04389251176811134, -0.0037095289590070024, -0.19191601106043285, -0.020466047125713278, -0.016799480828922242, 0.12070438661370038, -5.497761109533409e-05, 0.041167845260739945, -0.13846462935422701, -0.10261147907779862, 0.4143324639335333, -0.13015977463995418, -0.20790238567860797, 0.16930028488908042, -0.19791298040703018, -0.2090972013732729, 0.11501196531268458, 0.14315620384877548, 0.05137124264729209, -0.15392727670647824, 0.08721977745760039, -0.13610599054178843, 0.15704239685631668, 0.011743733351371096, 0.08450483119425674, 0.227232616317148, 0.20533344440627843, 0.07233280659420416, 0.0536276895266686, -0.07819739218393806, -0.035632238762142755, -0.35423315851949155, -0.13391483009642494, -0.12180414673639461, 0.07986653357511386, -0.09330819242283421, -0.10614723042817786, 0.428794633752356, 0.21180995993684823, 0.22777656376517066, 0.0820533616351895, 0.2862723731280615, 0.06643352896207944, -0.0053875761247278815, 0.0442716886755079, 0.30935693125744973, 0.10984770486053701, -0.011663710785796866, -0.17701670500294617, 0.00803442172279271, 0.021289676971112687] |
709.2914 | Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory | We present the potential energy due to flux and gaugino condensation in
heterotic M-theory compactifications with anti-branes in the vacuum. For
reasons which we explain in detail, the contributions to the potential due to
flux are not modified from those in supersymmetric contexts. The discussion of
gaugino condensation is, however, changed by the presence of anti-branes. We
show how a careful microscopic analysis of the system allows us to use standard
results in supersymmetric gauge theory in describing such effects - despite the
explicit supersymmetry breaking which is present. Not surprisingly, the
significant effect of anti-branes on the threshold corrections to the gauge
kinetic functions greatly alters the potential energy terms arising from
gaugino condensation.
| hep-th | we present the potential energy due to flux and gaugino condensation in heterotic mtheory compactifications with antibranes in the vacuum for reasons which we explain in detail the contributions to the potential due to flux are not modified from those in supersymmetric contexts the discussion of gaugino condensation is however changed by the presence of antibranes we show how a careful microscopic analysis of the system allows us to use standard results in supersymmetric gauge theory in describing such effects despite the explicit supersymmetry breaking which is present not surprisingly the significant effect of antibranes on the threshold corrections to the gauge kinetic functions greatly alters the potential energy terms arising from gaugino condensation | [['we', 'present', 'the', 'potential', 'energy', 'due', 'to', 'flux', 'and', 'gaugino', 'condensation', 'in', 'heterotic', 'mtheory', 'compactifications', 'with', 'antibranes', 'in', 'the', 'vacuum', 'for', 'reasons', 'which', 'we', 'explain', 'in', 'detail', 'the', 'contributions', 'to', 'the', 'potential', 'due', 'to', 'flux', 'are', 'not', 'modified', 'from', 'those', 'in', 'supersymmetric', 'contexts', 'the', 'discussion', 'of', 'gaugino', 'condensation', 'is', 'however', 'changed', 'by', 'the', 'presence', 'of', 'antibranes', 'we', 'show', 'how', 'a', 'careful', 'microscopic', 'analysis', 'of', 'the', 'system', 'allows', 'us', 'to', 'use', 'standard', 'results', 'in', 'supersymmetric', 'gauge', 'theory', 'in', 'describing', 'such', 'effects', 'despite', 'the', 'explicit', 'supersymmetry', 'breaking', 'which', 'is', 'present', 'not', 'surprisingly', 'the', 'significant', 'effect', 'of', 'antibranes', 'on', 'the', 'threshold', 'corrections', 'to', 'the', 'gauge', 'kinetic', 'functions', 'greatly', 'alters', 'the', 'potential', 'energy', 'terms', 'arising', 'from', 'gaugino', 'condensation']] | [-0.0838118827035814, 0.1656230213896682, -0.045956458585957684, 0.15718272162740232, -0.08487063647950427, -0.1042224907259081, 0.042690529903650215, 0.30537072242760477, -0.17067999654988708, -0.3204458452712156, 0.05254201148432402, -0.26450194728679716, -0.15003854353307633, 0.1215812057269974, -0.10723722644820156, 0.009221096743682497, -0.0026833524870310435, -0.017748842005650595, -0.08391463581325584, -0.2358374179406255, 0.3711247681619665, 0.05406061115494946, 0.2756929392926395, 0.16815246978627615, 0.04267650259364592, -0.04914226682178611, -0.009712169502387968, -0.03558146148070432, -0.1316054519735636, 0.08853853253745719, 0.20444493529615565, 0.035209587350356994, 0.12980661670946192, -0.45909216771261735, -0.22761062348849678, 0.15988277404144274, 0.17515671421904444, 0.1968147538994488, -0.046260700525364656, -0.2708379004166968, 0.02651689428501158, -0.17751408629160242, -0.13521500423411725, -0.08586522159187057, -0.03249714023172202, -0.06842810063921079, -0.237953412117796, 0.08581421268172562, -0.0003014612787713607, 0.009810386677711728, -0.050279394274663276, -0.0768513002242942, -0.0844957395089104, 0.051923262310753525, 0.20776136320394775, 0.0020138014581773363, 0.1795904991633602, -0.22648678309071743, -0.10501314192324092, 0.4085315950623338, -0.07653408123204779, -0.20653316230725563, 0.16615462884829754, -0.1326709274496687, -0.14850468528273172, 0.16507911265484596, 0.13278412904943698, 0.08831135434644366, -0.1267861978461345, 0.17970316368512596, 0.027130481876890388, 0.14949500021573744, 0.06133509270454708, 0.05681899179328691, 0.2876371934748532, 0.13833113140916745, 0.014687026579243442, 0.14439288834150749, -0.019560816385293084, -0.1495405997868562, -0.42177355282923634, -0.08466460120306644, -0.09112111247030266, 0.09319608520104737, -0.06911994541753716, -0.15380229308318935, 0.39484691352730517, 0.19267611510300062, 0.20020661922171712, 0.023405933272698076, 0.23404857539980298, 0.10654166118617643, 0.12572824968874716, -0.011826321685874606, 0.2936313119226773, 0.1054502768552323, 0.14240425561244288, -0.2835231743418007, -0.07607680481548111, 0.1096561330517656] |
709.2915 | A Connection between Star Formation in Nuclear Rings and their Host
Galaxies | We present results from a photometric H-alpha survey of 22 nuclear rings,
aiming to provide insight into their star formation properties, including age
distribution, dynamical timescales, star formation rates, and galactic bar
influence. We find a clear relationship between the position angles and
ellipticities of the rings and those of their host galaxies, which indicates
the rings are in the same plane as the disk and circular. We use population
synthesis models to estimate ages of each H-alpha emitting HII region, which
range from 1 Myr to 10 Myrs throughout the rings. We find that approximately
half of the rings contain azimuthal age gradients that encompass at least 25%
of the ring, although there is no apparent relationship between the presence or
absence of age gradients and the morphology of the rings or their host
galaxies. NGC1343, NGC1530, and NGC4321 show clear bipolar age gradients, where
the youngest HII regions are located near the two contact points of the bar and
ring. We speculate in these cases that the gradients are related to an
increased mass inflow rate and/or an overall higher gas density in the ring,
which would allow for massive star formation to occur on short timescales,
after which the galactic rotation would transport the HII regions around the
ring as they age. Two-thirds of the barred galaxies show correlation between
the locations of the youngest HII region(s) in the ring and the location of the
contact points, which is consistent with predictions from numerical modeling.
| astro-ph | we present results from a photometric halpha survey of 22 nuclear rings aiming to provide insight into their star formation properties including age distribution dynamical timescales star formation rates and galactic bar influence we find a clear relationship between the position angles and ellipticities of the rings and those of their host galaxies which indicates the rings are in the same plane as the disk and circular we use population synthesis models to estimate ages of each halpha emitting hii region which range from 1 myr to 10 myrs throughout the rings we find that approximately half of the rings contain azimuthal age gradients that encompass at least 25 of the ring although there is no apparent relationship between the presence or absence of age gradients and the morphology of the rings or their host galaxies ngc1343 ngc1530 and ngc4321 show clear bipolar age gradients where the youngest hii regions are located near the two contact points of the bar and ring we speculate in these cases that the gradients are related to an increased mass inflow rate andor an overall higher gas density in the ring which would allow for massive star formation to occur on short timescales after which the galactic rotation would transport the hii regions around the ring as they age twothirds of the barred galaxies show correlation between the locations of the youngest hii regions in the ring and the location of the contact points which is consistent with predictions from numerical modeling | [['we', 'present', 'results', 'from', 'a', 'photometric', 'halpha', 'survey', 'of', '22', 'nuclear', 'rings', 'aiming', 'to', 'provide', 'insight', 'into', 'their', 'star', 'formation', 'properties', 'including', 'age', 'distribution', 'dynamical', 'timescales', 'star', 'formation', 'rates', 'and', 'galactic', 'bar', 'influence', 'we', 'find', 'a', 'clear', 'relationship', 'between', 'the', 'position', 'angles', 'and', 'ellipticities', 'of', 'the', 'rings', 'and', 'those', 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709.2916 | Values of characters sums for finite unitary groups | A known result for the finite general linear group $\GL(n,\FF_q)$ and for the
finite unitary group $\U(n,\FF_{q^2})$ posits that the sum of the irreducible
character degrees is equal to the number of symmetric matrices in the group.
Fulman and Guralnick extended this result by considering sums of irreducible
characters evaluated at an arbitrary conjugacy class of $\GL(n,\FF_q)$. We
develop an explicit formula for the value of the permutation character of
$\U(2n,\FF_{q^2})$ over $\Sp(2n,\FF_q)$ evaluated an an arbitrary conjugacy
class and use results concerning Gelfand-Graev characters to obtain an
analogous formula for $\U(n,\FF_{q^2})$ in the case where $q$ is an odd prime.
These results are also given as probabilistic statements.
| math.RT math.CO | a known result for the finite general linear group glnff_q and for the finite unitary group unff_q2 posits that the sum of the irreducible character degrees is equal to the number of symmetric matrices in the group fulman and guralnick extended this result by considering sums of irreducible characters evaluated at an arbitrary conjugacy class of glnff_q we develop an explicit formula for the value of the permutation character of u2nff_q2 over sp2nff_q evaluated an an arbitrary conjugacy class and use results concerning gelfandgraev characters to obtain an analogous formula for unff_q2 in the case where q is an odd prime these results are also given as probabilistic statements | [['a', 'known', 'result', 'for', 'the', 'finite', 'general', 'linear', 'group', 'glnff_q', 'and', 'for', 'the', 'finite', 'unitary', 'group', 'unff_q2', 'posits', 'that', 'the', 'sum', 'of', 'the', 'irreducible', 'character', 'degrees', 'is', 'equal', 'to', 'the', 'number', 'of', 'symmetric', 'matrices', 'in', 'the', 'group', 'fulman', 'and', 'guralnick', 'extended', 'this', 'result', 'by', 'considering', 'sums', 'of', 'irreducible', 'characters', 'evaluated', 'at', 'an', 'arbitrary', 'conjugacy', 'class', 'of', 'glnff_q', 'we', 'develop', 'an', 'explicit', 'formula', 'for', 'the', 'value', 'of', 'the', 'permutation', 'character', 'of', 'u2nff_q2', 'over', 'sp2nff_q', 'evaluated', 'an', 'an', 'arbitrary', 'conjugacy', 'class', 'and', 'use', 'results', 'concerning', 'gelfandgraev', 'characters', 'to', 'obtain', 'an', 'analogous', 'formula', 'for', 'unff_q2', 'in', 'the', 'case', 'where', 'q', 'is', 'an', 'odd', 'prime', 'these', 'results', 'are', 'also', 'given', 'as', 'probabilistic', 'statements']] | [-0.15166934566047874, 0.1077218596112589, -0.07536161981649625, 0.035254889810955134, -0.06671634699371688, -0.09600119888149564, 0.010584979232183649, 0.3036721307711983, -0.28513836012520255, -0.23606231156284513, 0.08753216865888426, -0.23685716398657092, -0.12464196765704931, 0.2347813376849427, -0.08258132594954042, 6.847432814538479e-05, 0.006214637639344606, 0.13845795355918047, -0.105320656018838, -0.2909789237021966, 0.364537146096163, -0.021403366455681694, 0.2399027523250111, 0.04411400938677846, 0.11226546839422104, 0.07930896822272719, -0.02888944030748409, -0.04415538317514855, -0.0986213117538532, 0.1187502931785381, 0.3199870501762455, 0.06702195033227609, 0.2050926322840805, -0.35987512338725686, -0.11401034028097554, 0.17896495642958807, 0.12450060527319613, 0.07410875057747353, -0.03064240042789324, -0.27853629759567095, 0.13925094176445482, -0.24928226895761468, -0.1828127001882395, -0.059587777709787335, 0.09940584045970469, -0.022880128715910667, -0.30247922578048936, 0.00998271179122136, 0.13080297386074818, 0.12488451828836526, -0.07087420255569651, -0.1640179603014738, 0.053179744829975284, 0.14636533151751438, 0.04358254260501092, -0.0010721646430133615, 0.01432797363371525, -0.11837266330173221, -0.138222154067124, 0.3759744247982224, -0.055992298747087346, -0.24681871066105018, 0.1165463721280176, -0.12570210620851338, -0.15135728565804227, 0.1251535865668099, 0.1214573643468682, 0.16319303129555532, -0.05197518347825819, 0.13198612833641993, -0.1704935869382857, 0.09881619989162184, 0.06868525479187809, -0.024249951899372655, 0.11892745390905121, 0.016119328634903847, 0.048323839789853225, 0.1911709290043026, 0.033689274882120125, -0.025578095867000158, -0.3558832981162569, -0.19450089967814138, -0.19835329689628, 0.0855055642359465, -0.14160296065437278, -0.17550230223359992, 0.39849815120721616, 0.06309309104475581, 0.16622246803209476, 0.16772921681765793, 0.1845931801176404, 0.15422969121481428, 0.04438688479888352, 0.060205943241050844, 0.088562114255218, 0.2111010535018862, -0.0956023789148832, -0.1912812331456293, 0.02350170666225327, 0.17325711354287793] |
709.2917 | Measurement of the p\bar{p}\to WZ + X cross section at \sqrt{s}=1.96 TeV
and limits on WWZ trilinear gauge couplings | We present measurements of the process $p\bar{p} \to WZ+X \to \ell^{\prime}
\nu_{\ell^{\prime}} \ell \bar{\ell}$ at $\sqrt{s}=1.96$ TeV, where $\ell$ and
$\ell^{\prime}$ are electrons or muons. Using 1 fb$^{-1}$ of data from the D0
experiment, we observe 13 candidates with an expected background of $4.5\pm0.6$
events and measure a cross section $\sigma(WZ)=2.7^{+1.7}_{-1.3}$ pb. From the
number of observed events and the $Z$ boson transverse momentum distribution,
we limit the trilinear $WWZ$ gauge couplings to $-0.17 \le \lambda_Z \le 0.21$
$(\Delta \kappa_Z = 0)$ at the 95% C.L. for a form factor scale $\Lambda=2$
TeV. Further, assuming that $\Delta g^Z_1 = \Delta\kappa_Z$, we find $-0.12 \le
\Delta\kappa_Z \le 0.29$ $(\lambda_Z=0)$ at the 95% C.L. These are the most
restrictive limits on the $WWZ$ couplings available to date.
| hep-ex | we present measurements of the process pbarp to wzx to ellprime nu_ellprime ell barell at sqrts196 tev where ell and ellprime are electrons or muons using 1 fb1 of data from the d0 experiment we observe 13 candidates with an expected background of 45pm06 events and measure a cross section sigmawz2717_13 pb from the number of observed events and the z boson transverse momentum distribution we limit the trilinear wwz gauge couplings to 017 le lambda_z le 021 delta kappa_z 0 at the 95 cl for a form factor scale lambda2 tev further assuming that delta gz_1 deltakappa_z we find 012 le deltakappa_z le 029 lambda_z0 at the 95 cl these are the most restrictive limits on the wwz couplings available to date | [['we', 'present', 'measurements', 'of', 'the', 'process', 'pbarp', 'to', 'wzx', 'to', 'ellprime', 'nu_ellprime', 'ell', 'barell', 'at', 'sqrts196', 'tev', 'where', 'ell', 'and', 'ellprime', 'are', 'electrons', 'or', 'muons', 'using', '1', 'fb1', 'of', 'data', 'from', 'the', 'd0', 'experiment', 'we', 'observe', '13', 'candidates', 'with', 'an', 'expected', 'background', 'of', '45pm06', 'events', 'and', 'measure', 'a', 'cross', 'section', 'sigmawz2717_13', 'pb', 'from', 'the', 'number', 'of', 'observed', 'events', 'and', 'the', 'z', 'boson', 'transverse', 'momentum', 'distribution', 'we', 'limit', 'the', 'trilinear', 'wwz', 'gauge', 'couplings', 'to', '017', 'le', 'lambda_z', 'le', '021', 'delta', 'kappa_z', '0', 'at', 'the', '95', 'cl', 'for', 'a', 'form', 'factor', 'scale', 'lambda2', 'tev', 'further', 'assuming', 'that', 'delta', 'gz_1', 'deltakappa_z', 'we', 'find', '012', 'le', 'deltakappa_z', 'le', '029', 'lambda_z0', 'at', 'the', '95', 'cl', 'these', 'are', 'the', 'most', 'restrictive', 'limits', 'on', 'the', 'wwz', 'couplings', 'available', 'to', 'date']] | [-0.1161252722347609, 0.2324987481938364, -0.006591541774790077, 0.12517153809124718, -0.020321930813438752, -0.14028892140765087, 0.08984162442057449, 0.31247499934201983, -0.17914926626782143, -0.3454096939399087, -0.018546926468109882, -0.4481112173750621, 0.0977987507377759, 0.1480441432536243, 0.1250603862944208, 0.04087468293131556, 0.057877276654300445, -0.00016768898584042528, -0.022684697093082077, -0.2095863204214628, 0.20219830602031796, 0.06837265759586902, 0.19622496000545867, 0.08001210698231805, 0.08129614018032938, 0.0006386205248785119, 0.013854589563708346, -0.13673611034584396, -0.25212868782643966, 0.007061258506248979, 0.20593743838620285, 0.04931008568064881, 0.09671555395519846, -0.254370131083772, -0.0025094610584132813, 0.17520268286476617, 0.16275664496806866, -0.020189331218349833, 0.01953225233689921, -0.3335477453636929, 0.17774068579437727, -0.1623122939573867, -0.07424142179881543, 0.04774540020622501, 0.03720549642335342, -0.09376374107175076, -0.3727682864903903, 0.16954426276849724, -0.03323818394374259, 0.07765245761628412, 0.031710270798115545, -0.28170791680791546, -0.09763332760008443, -0.06293780000747315, 0.05959169886700081, 0.11388464473156619, 0.14002123240287564, -0.10025660416792233, -0.1323449310823148, 0.3225649811734422, -0.1075368695775, -0.1317097131757676, 0.15185824083946958, -0.25085393589052585, -0.1957055126892074, 0.16295476374412035, 0.2237230237307293, 0.08540414447090079, -0.17471987567842007, 0.192879771295751, 0.026801204254083773, 0.24276179287332197, 0.1040107554466534, 0.05145868320925897, 0.1623278781752094, 0.1548071556026116, 0.012930238007043465, -0.039777107536792755, -0.2125448125371506, 0.06392639055222023, -0.42464608648212765, -0.07389575705527007, -0.07013758336694739, 0.1392304796780295, -0.1264464428494029, 0.007107617437473631, 0.26675669937159774, 0.13026426241443562, 0.3213919304358233, 0.06805830101185173, 0.17813097826447807, 0.11227716620475398, 0.03141321665744352, 0.08182345954466518, 0.3204990945318166, 0.12046512314157576, 0.08533101032308045, -0.14260218972966326, -0.0441164523162566, 0.014818119429083182] |
709.2918 | Interplay of ferromagnetism and triplet superconductivity in a Josephson
junction | In this paper we extend our earlier analysis of the novel Josephson effect in
triplet superconductor--ferromagnet--triplet superconductor (TFT) junctions [B.
Kastening \emph{et al.}, Phys. Rev. Lett. {\bf{96}}, 047009 (2006)]. In our
more general formulation of the TFT junction we allow for potential scattering
at the barrier and an arbitrary orientation of the ferromagnetic moment.
Several new effects are found upon the inclusion of these extra terms: for
example, we find that a Josephson current can flow even when there is vanishing
phase difference between the superconducting condensates on either side of the
barrier. The critical current for a barrier with magnetization parallel to the
interface is calculated as a function of the junction parameters, and is found
to display strong non-analyticities. Furthermore, the Josephson current
switches first identified in our previous work are found to be robust features
of the junction, while the unconventional temperature-dependence of the current
is very sensitive to the extra terms in the barrier Hamiltonian.
| cond-mat.supr-con | in this paper we extend our earlier analysis of the novel josephson effect in triplet superconductorferromagnettriplet superconductor tft junctions b kastening emphet al phys rev lett bf96 047009 2006 in our more general formulation of the tft junction we allow for potential scattering at the barrier and an arbitrary orientation of the ferromagnetic moment several new effects are found upon the inclusion of these extra terms for example we find that a josephson current can flow even when there is vanishing phase difference between the superconducting condensates on either side of the barrier the critical current for a barrier with magnetization parallel to the interface is calculated as a function of the junction parameters and is found to display strong nonanalyticities furthermore the josephson current switches first identified in our previous work are found to be robust features of the junction while the unconventional temperaturedependence of the current is very sensitive to the extra terms in the barrier hamiltonian | [['in', 'this', 'paper', 'we', 'extend', 'our', 'earlier', 'analysis', 'of', 'the', 'novel', 'josephson', 'effect', 'in', 'triplet', 'superconductorferromagnettriplet', 'superconductor', 'tft', 'junctions', 'b', 'kastening', 'emphet', 'al', 'phys', 'rev', 'lett', 'bf96', '047009', '2006', 'in', 'our', 'more', 'general', 'formulation', 'of', 'the', 'tft', 'junction', 'we', 'allow', 'for', 'potential', 'scattering', 'at', 'the', 'barrier', 'and', 'an', 'arbitrary', 'orientation', 'of', 'the', 'ferromagnetic', 'moment', 'several', 'new', 'effects', 'are', 'found', 'upon', 'the', 'inclusion', 'of', 'these', 'extra', 'terms', 'for', 'example', 'we', 'find', 'that', 'a', 'josephson', 'current', 'can', 'flow', 'even', 'when', 'there', 'is', 'vanishing', 'phase', 'difference', 'between', 'the', 'superconducting', 'condensates', 'on', 'either', 'side', 'of', 'the', 'barrier', 'the', 'critical', 'current', 'for', 'a', 'barrier', 'with', 'magnetization', 'parallel', 'to', 'the', 'interface', 'is', 'calculated', 'as', 'a', 'function', 'of', 'the', 'junction', 'parameters', 'and', 'is', 'found', 'to', 'display', 'strong', 'nonanalyticities', 'furthermore', 'the', 'josephson', 'current', 'switches', 'first', 'identified', 'in', 'our', 'previous', 'work', 'are', 'found', 'to', 'be', 'robust', 'features', 'of', 'the', 'junction', 'while', 'the', 'unconventional', 'temperaturedependence', 'of', 'the', 'current', 'is', 'very', 'sensitive', 'to', 'the', 'extra', 'terms', 'in', 'the', 'barrier', 'hamiltonian']] | [-0.1809231893146102, 0.10928715999576687, -0.03938618695932874, 0.0053839894340842204, -0.064519285137252, -0.14847481906192322, 0.07301216142565001, 0.34941152831432737, -0.20454532728540847, -0.3117562992154223, -0.003625545780482898, -0.2788134938799984, -0.14131825530877823, 0.20596819283784765, -0.03459959137069942, 0.014896978248225133, -0.010518545855821413, -0.0179936019599936, -0.07255595253044918, -0.2222831529805401, 0.29244083094048745, 0.022614833172173446, 0.31761554386585383, 0.12561919421823636, 0.02367358925532858, -0.027289734015858193, 0.07421249759852126, 0.037578004361931115, -0.1451665551350604, 0.054483683987455386, 0.21803047260340708, -0.05400111998140717, 0.1773337429674093, -0.47287607531709847, -0.20890079132966388, 0.06729666203568885, 0.1333696384006625, 0.17065349108373426, -0.01777753981164357, -0.29782527758722094, 0.0728799184965219, -0.16288319736671675, -0.09109899610174214, -0.07199045015309172, 0.05042050937843171, 0.016037260852146087, -0.2817856764234009, 0.0913914958204908, 0.07069081901854414, 0.044935422143483665, -0.008005692531609801, -0.1114081622136217, -0.0357261766015202, 0.03371228088990334, 0.03340169057772038, 0.07063222174669147, 0.11890832271581148, -0.1184503523674408, -0.09922501469730952, 0.284137768398045, -0.06124889815617709, -0.14250493366538197, 0.1765924421536505, -0.13206847440036143, -0.07750456591557925, 0.08272968332289131, 0.08864345279919683, 0.11413134727089452, -0.16413077964956477, 0.09465884966523665, -0.027436358800786695, 0.14122488877475026, 0.06912297454431274, 0.02864636529042759, 0.21522329815894745, 0.17257722650927484, 0.06290470516890477, 0.14556935140017752, -0.11807213357062477, -0.10229757646948491, -0.3222880905470366, -0.1760455162092379, -0.1762749593034624, 0.048321300523598815, -0.03745093705873361, -0.18852859785021014, 0.40874331342768233, 0.2036833110751857, 0.20835624979719947, -0.011085822307400904, 0.2664568532958247, 0.16551636473370632, 0.05885062880397353, 0.053860420856482474, 0.26645620589613156, 0.13214071129395324, 0.1330930453170518, -0.2848424319960889, 0.08131823925728536, -0.0011903389956161475] |
709.2919 | Hyperbolic geometry of multiply twisted knots | We investigate the geometry of hyperbolic knots and links whose diagrams have
a high amount of twisting of multiple strands. We find information on volume
and certain isotopy classes of geodesics for the complements of these links,
based only on a diagram. The results are obtained by finding geometric
information on generalized augmentations of these links.
| math.GT | we investigate the geometry of hyperbolic knots and links whose diagrams have a high amount of twisting of multiple strands we find information on volume and certain isotopy classes of geodesics for the complements of these links based only on a diagram the results are obtained by finding geometric information on generalized augmentations of these links | [['we', 'investigate', 'the', 'geometry', 'of', 'hyperbolic', 'knots', 'and', 'links', 'whose', 'diagrams', 'have', 'a', 'high', 'amount', 'of', 'twisting', 'of', 'multiple', 'strands', 'we', 'find', 'information', 'on', 'volume', 'and', 'certain', 'isotopy', 'classes', 'of', 'geodesics', 'for', 'the', 'complements', 'of', 'these', 'links', 'based', 'only', 'on', 'a', 'diagram', 'the', 'results', 'are', 'obtained', 'by', 'finding', 'geometric', 'information', 'on', 'generalized', 'augmentations', 'of', 'these', 'links']] | [-0.2654152844500329, 0.09821743992922295, -0.0633294559915417, 0.07496638552817915, -0.094936433032022, -0.09590256736347717, 0.08810742070740421, 0.38069491194827215, -0.2515219496563077, -0.3371173324329512, 0.10880659274075047, -0.2712295629316941, -0.17939692115344638, 0.24376593127713672, -0.099388129061221, -0.007332754404550152, 0.09562189695757947, 0.06995914588748876, -0.087357988813892, -0.24330940979000712, 0.41502543997817803, -0.03819117395115817, 0.24766525173825876, 0.07601825317708842, 0.13837719612222696, 0.008055070672915983, -0.11766944057308137, 0.08087894955159365, -0.2407551798636892, 0.19727328296617738, 0.18092103502047913, 0.06729802240650835, 0.11732319081784226, -0.39890154258215, -0.2088298821722024, 0.09185941020924863, 0.13981213398177975, 0.04624832022402968, 0.003729586092439214, -0.28317438199051786, 0.0753622642618471, -0.11259768006857485, -0.07647866097977385, -0.06791805369513375, -0.04132230420197759, 0.11136112371709064, -0.13665531417687557, -0.022646472489993488, 0.05734864446068449, 0.11932195274026267, 0.008185327344108373, -0.06957138619951106, -0.0375639322945582, 0.18089667646979382, 0.014212800256375755, -0.03450041679648815, 0.093985013647138, -0.17008892131603456, -0.13348734282356287, 0.3406179893229689, 0.01175819304938029, -0.24531955779197492, 0.1783615489964307, -0.11223220280537914, -0.188972092075606, 0.20096531879555965, 0.13554988151216613, 0.097436397502731, -0.10412537363091749, 0.0455841053023635, -0.09693283028900623, 0.0984696951595002, 0.10647204710403457, 0.027248708198645284, 0.20662142013731813, 0.06143659659262214, 0.056633958946414556, 0.18766202933433565, -0.07412185726570897, -0.09430656228713426, -0.29618689530200626, -0.22305602350804424, -0.1433428795675614, 0.05935736288250025, -0.14845554170512645, -0.19177514780312777, 0.399056576192379, 0.021477311084579145, 0.220276598287975, 0.10763880857848562, 0.24391662475786038, 0.0151907411189833, 0.08518310922331043, 0.07493154402722471, 0.19695650026135678, 0.14421301678105788, -0.000888231850694865, -0.14918667389844945, 0.029320676557420353, 0.150172427679146] |
709.292 | From Littlewood-Richardson sequences to subgroup embeddings and back | Let $\alpha$, $\beta$, and $\gamma$ be partitions describing the isomorphism
types of the finite abelian $p$-groups $A$, $B$, and $C$. From theorems by
Green and Klein it is well-known that there is a short exact sequence $0\to
A\to B\to C\to 0$ of abelian groups if and only if there is a
Littlewood-Richardson sequence of type $(\alpha,\beta,\gamma)$. Starting from
the observation that a sequence of partitions has the LR property if and only
if every subsequence of length 2 does, we demonstrate how LR-sequences of
length two correspond to embeddings of a $p^2$-bounded subgroup in a finite
abelian $p$-group. Using the known classification of all such embeddings we
derive short proofs of the theorems by Green and Klein.
| math.GR math.RT | let alpha beta and gamma be partitions describing the isomorphism types of the finite abelian pgroups a b and c from theorems by green and klein it is wellknown that there is a short exact sequence 0to ato bto cto 0 of abelian groups if and only if there is a littlewoodrichardson sequence of type alphabetagamma starting from the observation that a sequence of partitions has the lr property if and only if every subsequence of length 2 does we demonstrate how lrsequences of length two correspond to embeddings of a p2bounded subgroup in a finite abelian pgroup using the known classification of all such embeddings we derive short proofs of the theorems by green and klein | [['let', 'alpha', 'beta', 'and', 'gamma', 'be', 'partitions', 'describing', 'the', 'isomorphism', 'types', 'of', 'the', 'finite', 'abelian', 'pgroups', 'a', 'b', 'and', 'c', 'from', 'theorems', 'by', 'green', 'and', 'klein', 'it', 'is', 'wellknown', 'that', 'there', 'is', 'a', 'short', 'exact', 'sequence', '0to', 'ato', 'bto', 'cto', '0', 'of', 'abelian', 'groups', 'if', 'and', 'only', 'if', 'there', 'is', 'a', 'littlewoodrichardson', 'sequence', 'of', 'type', 'alphabetagamma', 'starting', 'from', 'the', 'observation', 'that', 'a', 'sequence', 'of', 'partitions', 'has', 'the', 'lr', 'property', 'if', 'and', 'only', 'if', 'every', 'subsequence', 'of', 'length', '2', 'does', 'we', 'demonstrate', 'how', 'lrsequences', 'of', 'length', 'two', 'correspond', 'to', 'embeddings', 'of', 'a', 'p2bounded', 'subgroup', 'in', 'a', 'finite', 'abelian', 'pgroup', 'using', 'the', 'known', 'classification', 'of', 'all', 'such', 'embeddings', 'we', 'derive', 'short', 'proofs', 'of', 'the', 'theorems', 'by', 'green', 'and', 'klein']] | [-0.1405290779591862, 0.1617947498012496, -0.08985212986236034, 0.0772850786285151, -0.07654392347549614, -0.17664402452014064, 0.06939407944497045, 0.36238066741953723, -0.3241188793544374, -0.1839704415720442, 0.09284388924564195, -0.2857046741506328, -0.11855281258568816, 0.20323391589336098, -0.06134646626786612, -0.06075760083543213, 0.042131395038703216, 0.10876660918331017, -0.05435806646254723, -0.24158150580428217, 0.32643270121543144, -0.12152975434842317, 0.20653408486396074, 0.05063042189197048, 0.0883786419811456, 0.04849902801620572, -0.022588707656478104, -0.011433154630029332, -0.16675034949376308, 0.03850011953314685, 0.2721334508559464, 0.12665372730495975, 0.22432738022635812, -0.31634419500782235, -0.11886706442430453, 0.23160146803331927, 0.14999018157224941, 0.023744374521724555, -0.0436596627306679, -0.2437012343141048, 0.1957222830099256, -0.1507134641551048, -0.0926231116866288, -0.035379177906914895, 0.15028643190617794, 0.055915870436507725, -0.27221372139680644, -0.00023592648136874905, 0.15081349885820047, 0.06188790199584732, -0.01735327821224928, -0.1203518233059541, -0.04353653269455485, 0.11396554870449978, 0.04572996858547887, 0.06598818424846167, 0.034984397705462154, -0.09575321248368077, -0.1443090692618052, 0.3885264996925126, -0.06747921764162247, -0.18766910530545788, 0.14622626057623522, -0.17303186510892019, -0.15701560591671454, 0.14083492636032727, 0.025390236184972784, 0.14610476050039997, -0.04921250382195348, 0.22050853356739264, -0.13155699464613976, 0.15904882421069172, 0.12247915027015235, -0.016478778705324815, 0.1387286473956445, 0.1002117889771319, 0.032633711438140145, 0.11857839288979606, -0.015595528815427553, 0.045948800282633824, -0.364008096373721, -0.15833495514943144, -0.16535407526762752, 0.17564421595357682, -0.1059408540343967, -0.19144904926297782, 0.3776719336276469, 0.04792808645769306, 0.17245005062254876, 0.127642635565818, 0.20099599198640689, 0.06456407966983059, 0.07513480362148307, 0.07773486507408645, 0.0906681573504339, 0.19365170996271722, -0.06315762806359841, -0.15751557422266596, -0.0012433818136544331, 0.21678537089053704] |
709.2921 | A possible scenario for the mechanism of high-Tc superconductivity based
on experimental data | The issue of the mechanism of high-Tc superconductivity remains open. In this
contribution, we propose a new scenario for the mechanism of superconductivity
in cuprates based on analysis of experimental data, mainly tunneling, neutron
scattering and muon-spin-relaxation data, made earlier (see e.g. Mod. Phys.
Lett. B 19 (2005) 743). A specific feature of this scenario is the mechanism of
the establishment of long-range phase coherence among Cooper pairs, based on
recent experimental data obtained in nonsuperconducting materials.
| cond-mat.str-el cond-mat.supr-con | the issue of the mechanism of hightc superconductivity remains open in this contribution we propose a new scenario for the mechanism of superconductivity in cuprates based on analysis of experimental data mainly tunneling neutron scattering and muonspinrelaxation data made earlier see eg mod phys lett b 19 2005 743 a specific feature of this scenario is the mechanism of the establishment of longrange phase coherence among cooper pairs based on recent experimental data obtained in nonsuperconducting materials | [['the', 'issue', 'of', 'the', 'mechanism', 'of', 'hightc', 'superconductivity', 'remains', 'open', 'in', 'this', 'contribution', 'we', 'propose', 'a', 'new', 'scenario', 'for', 'the', 'mechanism', 'of', 'superconductivity', 'in', 'cuprates', 'based', 'on', 'analysis', 'of', 'experimental', 'data', 'mainly', 'tunneling', 'neutron', 'scattering', 'and', 'muonspinrelaxation', 'data', 'made', 'earlier', 'see', 'eg', 'mod', 'phys', 'lett', 'b', '19', '2005', '743', 'a', 'specific', 'feature', 'of', 'this', 'scenario', 'is', 'the', 'mechanism', 'of', 'the', 'establishment', 'of', 'longrange', 'phase', 'coherence', 'among', 'cooper', 'pairs', 'based', 'on', 'recent', 'experimental', 'data', 'obtained', 'in', 'nonsuperconducting', 'materials']] | [-0.20292087630429245, 0.1328831793885533, -0.06228868635492278, 0.017962612518617374, -0.07835236167559376, -0.13461859705676507, 0.18371469938111576, 0.3232880853201178, -0.1956418091310309, -0.29667218780604665, -0.02583917488446822, -0.3285973614154311, -0.13530263396633135, 0.19184204632440557, -0.044467990709976715, 0.04312710439810505, 0.011842235632531055, -0.0471991373032525, -0.06136708855387065, -0.2732274939575196, 0.32745924213441546, 0.06705245252112048, 0.37988586434731625, 0.11793479524770534, 0.019577392653634697, 0.038173330567517115, -0.011483329916735749, -0.10126589401927474, -0.1466874239675991, 0.09056498250597483, 0.28522072594564457, 0.033560345372693104, 0.18727316096570198, -0.43255977084642494, -0.25159421673213894, 0.04032883324430554, 0.09497134271739262, 0.13044325763649947, -0.09854846195221044, -0.31023587475155856, 0.041014298264469416, -0.17190642647033968, -0.0591615792726735, -0.07190888299449504, 0.06561324854272527, -0.059681808805794684, -0.25736747790496894, 0.16421096604589566, 0.08613960594906435, 0.09639245805076578, -0.08574173072135294, -0.1054676254461338, 0.033331256831524436, -0.03899614526224988, 0.050188996677903774, 0.09025470413533705, 0.07515721644166035, -0.09121080922785324, -0.15668741747579695, 0.31246667780441706, 0.014368497863315143, -0.027416694316674362, 0.16663225028397782, -0.12182645307998959, -0.14870823968153496, 0.08411212596897182, 0.1217177455833593, 0.12272895551770442, -0.20059923847000322, 0.0625010470235297, -0.08588537400627702, 0.16511061068400498, 0.009613914052387337, 0.07737207649783655, 0.2182756909592585, 0.26845025192124483, -0.07172078897196849, 0.09192664234282134, -0.1417670456177401, -0.0444986361453866, -0.26585442463371467, -0.14860871150581675, -0.19696713521979847, 0.03602135358166627, 0.02448680558466419, -0.13687571746526989, 0.3706767721125832, 0.21493469643449659, 0.26070544349827934, -0.11679278866859613, 0.20955613221634517, -0.0020218521678614636, 0.051984640362206846, 0.03902287324043838, 0.27249746332428865, 0.12579615871337327, 0.16272743672809817, -0.2671102646121441, 0.07313178911012924, 0.027158581367512414] |
709.2922 | PSR B1257+12: a quark star with planets? | A recent observation has shown that PSR B1257+12 could have quite small X-ray
emitting area, only about 2000 m$^2$, which is more than three orders smaller
than the canonical polar cap size. We suggest here that PSR B1257+12 could be a
low-mass quark star with radius of $R \simeq 0.6$ km and mass of $M \simeq
3\times10^{-4}\msun$. Such a low-mass quark star system may form in an
accretion induced collapse process or a collision process of two quark stars.
| astro-ph | a recent observation has shown that psr b125712 could have quite small xray emitting area only about 2000 m2 which is more than three orders smaller than the canonical polar cap size we suggest here that psr b125712 could be a lowmass quark star with radius of r simeq 06 km and mass of m simeq 3times104msun such a lowmass quark star system may form in an accretion induced collapse process or a collision process of two quark stars | [['a', 'recent', 'observation', 'has', 'shown', 'that', 'psr', 'b125712', 'could', 'have', 'quite', 'small', 'xray', 'emitting', 'area', 'only', 'about', '2000', 'm2', 'which', 'is', 'more', 'than', 'three', 'orders', 'smaller', 'than', 'the', 'canonical', 'polar', 'cap', 'size', 'we', 'suggest', 'here', 'that', 'psr', 'b125712', 'could', 'be', 'a', 'lowmass', 'quark', 'star', 'with', 'radius', 'of', 'r', 'simeq', '06', 'km', 'and', 'mass', 'of', 'm', 'simeq', '3times104msun', 'such', 'a', 'lowmass', 'quark', 'star', 'system', 'may', 'form', 'in', 'an', 'accretion', 'induced', 'collapse', 'process', 'or', 'a', 'collision', 'process', 'of', 'two', 'quark', 'stars']] | [-0.13145042869011656, 0.2510106428602833, -0.08008791751061113, 0.07348442270790073, -0.1317746203440504, -0.10533189686397329, 0.03807503280516427, 0.37471599805240446, -0.1256131436675787, -0.3241830052903447, 0.07009812526685448, -0.2984694836374659, 0.006383732483626749, 0.24486789578356996, -0.045326923832106285, -0.042673966847360134, 0.1066609233056601, 0.014131561127634576, -0.10278370202136919, -0.20997885721198356, 0.265210909943562, 0.03139617934058874, 0.08068634481885685, 0.024549448689541373, 0.04928100841621367, -0.11462564299850223, 0.038649427507502526, -0.03606971015389531, -0.15304802757637867, -0.0052541992627084255, 0.18234908931891625, 0.10178728331065474, 0.1939927670830049, -0.3244487394530995, -0.207617022361284, 0.07086198517861657, 0.20944022299805418, -0.030572563262047388, -0.058837387458016824, -0.2429546004262729, 0.12972379855133254, -0.32051879308449155, -0.15930660035556707, 0.03789378130115951, 0.12328742917937537, -0.0345601476669216, -0.281315438162822, 0.08852665385870168, 0.08572434884113952, 0.005334433012952407, -0.03773892125210319, -0.1689844788574518, -0.028060318478263725, -0.03500830383004191, 0.05974783943831706, 0.1442266539969028, 0.1935883900270057, -0.112145712133497, -0.043763906038246855, 0.3991100895934953, -0.04847090467340492, -0.01891826656766427, 0.19951206817028996, -0.25863613717210215, -0.15604397061113745, 0.15705236426005378, 0.12060029226808976, 0.16742634368487275, -0.1725829012859135, -0.026795305157205664, -0.07953544712822455, 0.2714604241773486, 0.13522189336184126, 0.04447075366400755, 0.3593953781020947, 0.21289014730465192, 0.03973994715413891, 0.05185586340480651, -0.22513335151597857, -0.057665722023767345, -0.19982977946981406, -0.08219218441921, -0.12790464491058046, 0.17531701505112535, -0.17493774588439967, -0.07510732885753103, 0.27979681897872627, 0.06767640233738348, 0.2270805968855245, -0.011060009613477936, 0.24847847748046312, 0.1036170754963771, 0.11649310622268762, 0.1761825906787402, 0.29165232238861233, 0.19112408665032724, 0.07472348781541371, -0.20341885319122902, 0.06317869036082321, -0.01339392396263205] |
709.2923 | Generation of 10-GHz clock sequential time-bin entanglement | This letter reports telecom-band sequential time-bin entangled photon-pair
generation at a repetition rate of 10 GHz in periodically-poled
reverse-proton-exchange lithium niobate waveguides based on mode
demultiplexing. With up-conversion single-photon detectors, we observed a
two-photon-interference-fringe visibility of 85.32% without subtraction of
accidental noise contributions, which can find broad application in quantum
information and quantum entanglement research.
| quant-ph | this letter reports telecomband sequential timebin entangled photonpair generation at a repetition rate of 10 ghz in periodicallypoled reverseprotonexchange lithium niobate waveguides based on mode demultiplexing with upconversion singlephoton detectors we observed a twophotoninterferencefringe visibility of 8532 without subtraction of accidental noise contributions which can find broad application in quantum information and quantum entanglement research | [['this', 'letter', 'reports', 'telecomband', 'sequential', 'timebin', 'entangled', 'photonpair', 'generation', 'at', 'a', 'repetition', 'rate', 'of', '10', 'ghz', 'in', 'periodicallypoled', 'reverseprotonexchange', 'lithium', 'niobate', 'waveguides', 'based', 'on', 'mode', 'demultiplexing', 'with', 'upconversion', 'singlephoton', 'detectors', 'we', 'observed', 'a', 'twophotoninterferencefringe', 'visibility', 'of', '8532', 'without', 'subtraction', 'of', 'accidental', 'noise', 'contributions', 'which', 'can', 'find', 'broad', 'application', 'in', 'quantum', 'information', 'and', 'quantum', 'entanglement', 'research']] | [-0.14872369864287804, 0.219922904856503, -0.014885020152366948, -0.05470568752838826, 0.004967534901433677, -0.2568028742834082, 0.0896779802838727, 0.5214195495365925, -0.16899337487752145, -0.296784298046369, 0.03477596084341266, -0.301586168993897, -0.051956215091401116, 0.23116145774124647, -0.06123643125987278, 0.1450431401235104, 0.07328567242706721, -0.07792222139618869, 0.018779589118049392, -0.17570519850167604, 0.22160084055350074, 0.07250087836071989, 0.44651363635400554, 0.05910997373877831, 0.16102854485781687, -0.01763335851741568, -0.028590378474514438, -0.19201560589080713, -0.05986235085391563, 0.12639851753055206, 0.32002205935851585, 0.08271477027919213, 0.24892000263591982, -0.35560710798456985, -0.20943682321856888, 0.0783818677542204, 0.12130511843792673, 0.20697046975157102, -0.11933740719335752, -0.31663089222714025, 0.003645429449191071, -0.17748375663990681, -0.020471679029177944, 0.024617718233955355, -0.0581647011996159, -0.05927038356169777, -0.255751547596927, 0.06035775323354481, 0.034153196310519045, 0.060585008970382714, 0.0917519174937932, 0.012238016685927814, 0.02192925137274389, -0.033961049008692776, -0.15180462032978265, -0.030212725163437426, 0.1833702183124293, -0.11997170201151298, -0.2983351765762804, 0.29121923517822373, -0.16735902305182843, -0.07423632572633478, 0.06438725280470022, -0.14827178509242586, -0.08546518754073472, 0.16052780774826148, 0.1679119885951843, 0.1243842911806599, -0.12384601203584165, -0.04478493545595381, 0.08098617132823423, 0.341523192787789, 0.25192267205214725, 0.27741495716684267, 0.2293114764571963, 0.1605246505142137, -0.00025394499161333407, 0.21827033980758334, -0.18483991430246466, -0.03399297022172865, -0.29881788340379606, -0.16978255327228667, -0.2077035296127367, 0.11104776675566891, -0.05457606489022201, -0.11161288494279362, 0.41117879930215906, 0.1073138299222403, 0.052534580959956036, -0.046891964868782963, 0.3472640650030577, 0.09596481695244054, 0.08932435740980338, 0.00430667194766256, 0.3041547589566348, 0.13111457574831428, 0.10422778819283506, -0.26055599865064305, -0.017019908293150365, -0.08233830410951995] |
709.2924 | Feshbach resonances in ultracold ^{6,7}Li + ^{23}Na atomic mixtures | We report a theoretical study of Feshbach resonances in $^{6}$Li + $^{23}$Na
and $^{7}$Li + $^{23}$Na mixtures at ultracold temperatures using new accurate
interaction potentials in a full quantum coupled-channel calculation. Feshbach
resonances for $l=0$ in the initial collisional open channel $^6$Li$(f=1/2,
m_f=1/2) + ^{23}$Na$(f=1, m_f=1)$ are found to agree with previous
measurements, leading to precise values of the singlet and triplet scattering
lengths for the $^{6,7}$Li$+^{23}$Na pairs. We also predict additional Feshbach
resonances within experimentally attainable magnetic fields for other collision
channels.
| physics.atom-ph | we report a theoretical study of feshbach resonances in 6li 23na and 7li 23na mixtures at ultracold temperatures using new accurate interaction potentials in a full quantum coupledchannel calculation feshbach resonances for l0 in the initial collisional open channel 6lif12 m_f12 23naf1 m_f1 are found to agree with previous measurements leading to precise values of the singlet and triplet scattering lengths for the 67li23na pairs we also predict additional feshbach resonances within experimentally attainable magnetic fields for other collision channels | [['we', 'report', 'a', 'theoretical', 'study', 'of', 'feshbach', 'resonances', 'in', '6li', '23na', 'and', '7li', '23na', 'mixtures', 'at', 'ultracold', 'temperatures', 'using', 'new', 'accurate', 'interaction', 'potentials', 'in', 'a', 'full', 'quantum', 'coupledchannel', 'calculation', 'feshbach', 'resonances', 'for', 'l0', 'in', 'the', 'initial', 'collisional', 'open', 'channel', '6lif12', 'm_f12', '23naf1', 'm_f1', 'are', 'found', 'to', 'agree', 'with', 'previous', 'measurements', 'leading', 'to', 'precise', 'values', 'of', 'the', 'singlet', 'and', 'triplet', 'scattering', 'lengths', 'for', 'the', '67li23na', 'pairs', 'we', 'also', 'predict', 'additional', 'feshbach', 'resonances', 'within', 'experimentally', 'attainable', 'magnetic', 'fields', 'for', 'other', 'collision', 'channels']] | [-0.12663343382467115, 0.24185056229690452, -0.038588646744898, 0.08986794268228597, 0.015524219763888554, -0.19619843548816907, 0.07361831327041539, 0.41681557729259716, -0.16815337405673095, -0.25292909655768375, -0.08884083538757662, -0.29184047722971285, 0.02319819847871731, 0.1607641637833281, 0.12335090013523284, 0.12192465441604598, 0.14550881626011877, 0.03691720608364815, -0.0561192628576771, -0.20867868179044166, 0.3201131375095287, 0.015700454217405964, 0.16243063429878515, 0.1587994344193827, -0.021549381415492723, 0.02321111871679495, 0.12138686896386472, -0.1565177477714787, -0.205912034650176, 0.09925014870362235, 0.2925675553636317, -0.03877148602472304, 0.11670905256692271, -0.4144592948451445, -0.21051186731980218, 0.05683395663252125, 0.2427706752250624, 0.2526038507507606, -0.05219301015936902, -0.35157698694035994, -0.047416554630867074, -0.138033687100782, -0.15204732515546796, -0.16969956043357778, 0.05591922417863623, -0.0015432435517235624, -0.38347029637593727, 0.12510498517227672, -0.04283071163430955, 0.1672455356758717, -0.15047866058257686, -0.23522269482839273, 0.09111920963706714, 0.00665468532688819, -0.04983375589484228, -0.00026589787758693294, 0.1660830673773761, -0.1499559958767775, -0.11125278254886242, 0.3087344965957976, -0.14994924197384676, -0.0830695759323607, 0.21502151648142048, -0.16658507652169505, -0.06034545557476677, 0.20047252307125887, 0.17544448073022068, 0.09718016616005282, -0.1671926351868874, 0.05151583292890437, -0.046914826709680356, 0.1592591933077564, 0.10980877838726458, 0.09212426166957269, 0.20062095529170004, 0.14517583577083304, -0.06461524171149963, 0.08360879646399506, -0.1540730620020783, -0.12906767730298754, -0.25158418487612305, -0.09558646919567881, -0.14084226359891427, -0.03194773734801195, 0.03585016490421379, -0.09924367625060697, 0.3308393302216352, 0.1449914559141382, 0.28135986160486937, -0.06268819361356656, 0.29749761372744166, 0.07869384142527865, 0.057873197020841885, 0.01860690955677396, 0.31871197653281225, 0.24549757172776895, 0.03604001204737208, -0.3501468212525179, -0.017249562547771963, -0.05055575940588659] |
709.2925 | A new approach to the study of quasi-normal modes of rotating stars | We propose a new method to study the quasi-normal modes of rotating
relativistic stars. Oscillations are treated as perturbations in the frequency
domain of the stationary, axisymmetric background describing a rotating star.
The perturbed quantities are expanded in circular harmonics, and the resulting
2D-equations they satisfy are integrated using spectral methods in the
(r,theta)-plane. The asymptotic conditions at infinity, needed to find the mode
frequencies, are implemented by generalizing the standing wave boundary
condition commonly used in the non rotating case. As a test, the method is
applied to find the quasi-normal mode frequencies of a slowly rotating star.
| gr-qc astro-ph | we propose a new method to study the quasinormal modes of rotating relativistic stars oscillations are treated as perturbations in the frequency domain of the stationary axisymmetric background describing a rotating star the perturbed quantities are expanded in circular harmonics and the resulting 2dequations they satisfy are integrated using spectral methods in the rthetaplane the asymptotic conditions at infinity needed to find the mode frequencies are implemented by generalizing the standing wave boundary condition commonly used in the non rotating case as a test the method is applied to find the quasinormal mode frequencies of a slowly rotating star | [['we', 'propose', 'a', 'new', 'method', 'to', 'study', 'the', 'quasinormal', 'modes', 'of', 'rotating', 'relativistic', 'stars', 'oscillations', 'are', 'treated', 'as', 'perturbations', 'in', 'the', 'frequency', 'domain', 'of', 'the', 'stationary', 'axisymmetric', 'background', 'describing', 'a', 'rotating', 'star', 'the', 'perturbed', 'quantities', 'are', 'expanded', 'in', 'circular', 'harmonics', 'and', 'the', 'resulting', '2dequations', 'they', 'satisfy', 'are', 'integrated', 'using', 'spectral', 'methods', 'in', 'the', 'rthetaplane', 'the', 'asymptotic', 'conditions', 'at', 'infinity', 'needed', 'to', 'find', 'the', 'mode', 'frequencies', 'are', 'implemented', 'by', 'generalizing', 'the', 'standing', 'wave', 'boundary', 'condition', 'commonly', 'used', 'in', 'the', 'non', 'rotating', 'case', 'as', 'a', 'test', 'the', 'method', 'is', 'applied', 'to', 'find', 'the', 'quasinormal', 'mode', 'frequencies', 'of', 'a', 'slowly', 'rotating', 'star']] | [-0.1532617610754426, 0.15428107938268365, -0.10023462633631125, 0.08929269064395429, -0.09335644071508852, -0.0869816808430862, -0.026492115201370924, 0.3336000466123991, -0.16983791803653092, -0.23067283094620583, 0.10626413747092191, -0.24019321551565656, -0.0678377197071257, 0.2121371266710543, -0.013348115243248105, 0.08016232458740166, 0.05570879055801587, 0.06423392183790655, -0.05211697655673542, -0.13115942531947009, 0.32039727774669524, 0.043148440143847167, 0.273401910016678, -0.09614350875244312, 0.026999287905541163, -0.07406205307577074, -0.014945641523659153, 0.019177641157905774, -0.13563272967762385, 0.016939997236177173, 0.2505518677912967, 0.10562297417638228, 0.2504634780367625, -0.4397995813951357, -0.2027005332224455, 0.04504231648212395, 0.19466602647456235, 0.1662301921103265, -0.041074251574848196, -0.25886296106684836, 0.05429362661214834, -0.1349482989543569, -0.2410418046686376, -0.06750509681266531, 0.005240406101742356, 0.047941741655993554, -0.3037956241787094, 0.1175315480249617, 0.07533164705466672, 0.014733399848691332, -0.10082359462568402, -0.05079813147943044, -0.0377641439284246, 0.09026131927775047, 0.10176497824806913, 0.016912874022796367, 0.13572456277234807, -0.06673558413521531, -0.05772650369548613, 0.3883236378968991, -0.1328115540643021, -0.2622346313209417, 0.17806180761935017, -0.20945000717147572, -0.07397655610801633, 0.11176683296708717, 0.1986875922236707, 0.21595557097383997, -0.14061664624293288, 0.04590529081898924, 0.02087029950232989, 0.11797848505150411, 0.1765754467030008, 0.019223733710907593, 0.2957023280413495, 0.11474951740219883, -0.014339302368846136, 0.1983126722391426, -0.11899075097615648, -0.040632087643709534, -0.289350663839849, -0.061986494641367, -0.1550407978584846, -0.0014248415055149474, -0.05908119494378082, -0.19968969954811422, 0.4150368247718848, 0.08392039019873693, 0.1481071482556536, 0.03322706386907814, 0.2847753421009816, 0.16725834595164304, 0.05830005874146813, 0.15127906971851113, 0.3274910894352175, 0.19498884683887752, 0.1315139311980264, -0.2722138511929085, -0.06911931297569007, 0.056922906803293635] |
709.2926 | Shape and local growth for multidimensional branching random walks in
random environment | We study branching random walks in random environment on the $d$-dimensional
square lattice, $d \geq 1$. In this model, the environment has finite range
dependence, and the population size cannot decrease. We prove limit theorems
(laws of large numbers) for the set of lattice sites which are visited up to a
large time as well as for the local size of the population. The limiting shape
of this set is compact and convex, though the local size is given by a concave
growth exponent. Also, we obtain the law of large numbers for the logarithm of
the total number of particles in the process.
| math.PR | we study branching random walks in random environment on the ddimensional square lattice d geq 1 in this model the environment has finite range dependence and the population size cannot decrease we prove limit theorems laws of large numbers for the set of lattice sites which are visited up to a large time as well as for the local size of the population the limiting shape of this set is compact and convex though the local size is given by a concave growth exponent also we obtain the law of large numbers for the logarithm of the total number of particles in the process | [['we', 'study', 'branching', 'random', 'walks', 'in', 'random', 'environment', 'on', 'the', 'ddimensional', 'square', 'lattice', 'd', 'geq', '1', 'in', 'this', 'model', 'the', 'environment', 'has', 'finite', 'range', 'dependence', 'and', 'the', 'population', 'size', 'can', 'not', 'decrease', 'we', 'prove', 'limit', 'theorems', 'laws', 'of', 'large', 'numbers', 'for', 'the', 'set', 'of', 'lattice', 'sites', 'which', 'are', 'visited', 'up', 'to', 'a', 'large', 'time', 'as', 'well', 'as', 'for', 'the', 'local', 'size', 'of', 'the', 'population', 'the', 'limiting', 'shape', 'of', 'this', 'set', 'is', 'compact', 'and', 'convex', 'though', 'the', 'local', 'size', 'is', 'given', 'by', 'a', 'concave', 'growth', 'exponent', 'also', 'we', 'obtain', 'the', 'law', 'of', 'large', 'numbers', 'for', 'the', 'logarithm', 'of', 'the', 'total', 'number', 'of', 'particles', 'in', 'the', 'process']] | [-0.11253511069087489, 0.18536489465761752, -0.045693402967992285, 0.03980741353680926, -0.008491486473385955, -0.07385656122517373, 0.0792633503054579, 0.3278128949304422, -0.2809733191150285, -0.3012553810186329, 0.12461741780973085, -0.2741436201369479, -0.0764194273522922, 0.17207566371764102, -0.0416975679363878, 0.05786460509878539, -0.010438433112133117, 0.05019245830674966, -0.0024232203673039162, -0.27395466524398043, 0.29067836445312767, 0.01433772010107835, 0.24122217935066492, 0.057671104897079724, 0.08861411632083002, 0.030789963617211296, -0.0013021184863256556, 0.06260845905968121, -0.1425682445544572, 0.0720994801891114, 0.15845562669315508, 0.09727947229430789, 0.27339231281408244, -0.37726181951307114, -0.1637459154107741, 0.17751776289549612, 0.13948384770968308, 0.10666192176951361, -0.01085474989931321, -0.2181025338736141, 0.11694355635859427, -0.14094337154002418, -0.1998356608352402, -0.015785355422468412, 0.11399942083018166, 0.09180110221163236, -0.2853937949320035, 0.07973138670231925, 0.07862724601623736, 0.05961266820806833, -0.0258025351512645, -0.12634398597514346, -0.0014955440491792702, 0.14929706548739757, 0.03199756305437491, 0.005731957514459888, 0.13532887397422677, -0.11865785580039734, -0.09163094135001301, 0.3776765074580908, -0.052306271903216836, -0.20859045300721413, 0.17362261969330056, -0.24108981064831217, -0.14190335121626654, 0.14093041709579882, 0.23411828354001046, 0.13116894254074266, -0.11585077748944363, 0.13843680813442916, -0.10220257807523012, 0.15927378668316772, 0.0327666929922998, 0.04776750588346095, 0.15165524607790368, 0.1854022559842893, 0.1105114154029815, 0.1809167027872588, -0.08256301099567541, -0.11269629770623786, -0.3243694398086518, -0.13588185570247116, -0.2707498847107802, 0.10928672200880966, -0.18921004998957783, -0.1940387998485849, 0.3385819146675723, 0.07838551588356495, 0.24300877217735564, 0.15155905553561058, 0.19560964288456098, 0.14620391017164192, 0.0694389527308799, 0.07003917789884977, 0.14049500573781273, 0.1120640954645794, 0.0555454550798805, -0.19626246574556544, 0.06719680682622961, 0.08221377313491844] |
709.2927 | Developing A Chemical Evolutionary Sequence for Low-mass Starless Cores | I review the basic processes that may be used to develop a chemical
evolutionary sequence for low-mass starless cores. I highlight observational
results from the Arizona Radio Observatory-Green Bank Survey. Observations were
performed with the SMT 10-m, ARO 12-m, and GBT 100-m toward a sample of 25
nearby (D < 400 pc) low-mass starless cores which have radiative transfer
models of the 850 $\mu$m emission and observed SED (160 - 1300 um). The cores
were observed in the lines of NH3 (1,1) and (2,2), o-NH2D 1_{11} - 1_{01}, C2S
1_2 - 2_1, C3S 4 - 3, HCN 1 - 0, HC5N 9 - 8, HC7N 21 - 20, C18O and C17O 2 - 1,
and p-H2CO 1_{01} - 0_{00}.
| astro-ph | i review the basic processes that may be used to develop a chemical evolutionary sequence for lowmass starless cores i highlight observational results from the arizona radio observatorygreen bank survey observations were performed with the smt 10m aro 12m and gbt 100m toward a sample of 25 nearby d 400 pc lowmass starless cores which have radiative transfer models of the 850 mum emission and observed sed 160 1300 um the cores were observed in the lines of nh3 11 and 22 onh2d 1_11 1_01 c2s 1_2 2_1 c3s 4 3 hcn 1 0 hc5n 9 8 hc7n 21 20 c18o and c17o 2 1 and ph2co 1_01 0_00 | [['i', 'review', 'the', 'basic', 'processes', 'that', 'may', 'be', 'used', 'to', 'develop', 'a', 'chemical', 'evolutionary', 'sequence', 'for', 'lowmass', 'starless', 'cores', 'i', 'highlight', 'observational', 'results', 'from', 'the', 'arizona', 'radio', 'observatorygreen', 'bank', 'survey', 'observations', 'were', 'performed', 'with', 'the', 'smt', '10m', 'aro', '12m', 'and', 'gbt', '100m', 'toward', 'a', 'sample', 'of', '25', 'nearby', 'd', '400', 'pc', 'lowmass', 'starless', 'cores', 'which', 'have', 'radiative', 'transfer', 'models', 'of', 'the', '850', 'mum', 'emission', 'and', 'observed', 'sed', '160', '1300', 'um', 'the', 'cores', 'were', 'observed', 'in', 'the', 'lines', 'of', 'nh3', '11', 'and', '22', 'onh2d', '1_11', '1_01', 'c2s', '1_2', '2_1', 'c3s', '4', '3', 'hcn', '1', '0', 'hc5n', '9', '8', 'hc7n', '21', '20', 'c18o', 'and', 'c17o', '2', '1', 'and', 'ph2co', '1_01', '0_00']] | [-0.025540484115481377, 0.10371335762526805, 0.043779972501133926, 0.05845029990267113, -0.024288954091406315, -0.12495874484705034, 0.07168849340474634, 0.45834288396219786, -0.0723199001948619, -0.40189427824986873, 0.11885659373474142, -0.3066785765080669, 0.019064610959988123, 0.06727115666737483, 0.08210249264097869, -0.026198393429159493, 0.07022746203676145, -0.2343396114590186, 0.021302539409164375, -0.19005794597737422, 0.22376615504046607, 0.04625806323618184, 0.1356000370453721, -0.007359542449347122, 0.023217009553994774, -0.2612643062727848, -0.10603072318013444, -0.14313436640757266, -0.1600261456314741, 0.029508665337871377, 0.29673778753288804, 0.1589736980799516, 0.17828502040791594, -0.3298966662310772, -0.1464631473819647, 0.03986721978931923, 0.1518918966926704, -0.025233456766217615, 0.05978398216522743, -0.32858592646945023, 0.11877538544064928, -0.17091342257923298, -0.15547183814032056, 0.12165713020400187, 0.0999206784137777, 0.05033736007079204, -0.17965955168409187, 0.06150196493542361, -0.037395273192750864, 0.19406317400737344, -0.1471077708840788, -0.3264944953843951, -0.06503242250775622, 0.059005424197519495, -0.13367514460234442, 0.14022527355265535, 0.23060097048825054, -0.048479689685540776, -0.08018998106153874, 0.357625168060588, -0.14681076795835413, 0.09135585859696442, 0.24057263006221188, -0.20294394020739698, -0.29798520205403184, 0.2655635000104259, 0.05746198793281322, 0.1292124906224068, -0.12792615936285703, -0.024053565955995015, -0.028340005437695534, 0.28616731380608595, 0.1278519979895693, 0.021424537761763573, 0.2544917124475866, 0.0539240015183236, -0.03707425398360416, 0.10914629629419281, -0.37789928211578144, -0.04257581558483261, -0.1838832930661738, -0.13997867641639766, -0.06729634675397494, 0.179703204677153, -0.11447715165600002, 0.01598630363456731, 0.2577105964159715, 0.07434456600159163, 0.17161852381818832, 0.09571018389526267, 0.23523038559567147, -0.01942204361972965, 0.12143908602232603, 0.1285361759886842, 0.2651918654582489, 0.19035356473580228, 0.21642567115948996, -0.17782137709861257, -0.057635919108255725, -0.07675914588236363] |
709.2928 | Age and metallicity of the bulges in lenticular galaxies | Panoramic spectroscopic data of the sample of 80 nearby lenticular galaxies
obtained with the Multi-Pupil Fiber Spectrograph of the 6-m telescope are
presented. The SSP-equivalent ages, [Z/H], and [Mg/Fe] are determined through
the Lick indices H-beta, Mgb, and <Fe> separately for the nuclei and for the
bulges. About a half of the sample contain chemically distinct nuclei, more
metal-rich and younger than the bulges. The correlations of the stellar
population properties for the nearby S0s are discussed.
| astro-ph | panoramic spectroscopic data of the sample of 80 nearby lenticular galaxies obtained with the multipupil fiber spectrograph of the 6m telescope are presented the sspequivalent ages zh and mgfe are determined through the lick indices hbeta mgb and fe separately for the nuclei and for the bulges about a half of the sample contain chemically distinct nuclei more metalrich and younger than the bulges the correlations of the stellar population properties for the nearby s0s are discussed | [['panoramic', 'spectroscopic', 'data', 'of', 'the', 'sample', 'of', '80', 'nearby', 'lenticular', 'galaxies', 'obtained', 'with', 'the', 'multipupil', 'fiber', 'spectrograph', 'of', 'the', '6m', 'telescope', 'are', 'presented', 'the', 'sspequivalent', 'ages', 'zh', 'and', 'mgfe', 'are', 'determined', 'through', 'the', 'lick', 'indices', 'hbeta', 'mgb', 'and', 'fe', 'separately', 'for', 'the', 'nuclei', 'and', 'for', 'the', 'bulges', 'about', 'a', 'half', 'of', 'the', 'sample', 'contain', 'chemically', 'distinct', 'nuclei', 'more', 'metalrich', 'and', 'younger', 'than', 'the', 'bulges', 'the', 'correlations', 'of', 'the', 'stellar', 'population', 'properties', 'for', 'the', 'nearby', 's0s', 'are', 'discussed']] | [-0.01200490426976773, 0.10624618755383908, -0.07840723217170882, 0.15354599824518358, -0.07555306135480733, -0.10103505498754155, 0.010687741208178187, 0.4842398535264166, -0.06018951929198872, -0.3547236474328919, 0.013618144329245152, -0.36117312291293946, 0.025111322707839702, 0.25749549276339456, -0.017966153406489053, -0.079027139937113, 0.06699993901297842, -0.14667433769270583, -0.02117187773661786, -0.34351179591919245, 0.31812180462293327, 0.02255436312407255, 0.15018417965620756, -0.1937848755256518, 0.007944544118608496, -0.11035894867228835, -0.12894875346682966, -0.02380397832817643, -0.16658527223932507, 0.07325613437416523, 0.25786656278528663, 0.1255208110485814, 0.23837080960603138, -0.30188354092560504, -0.09880977707201198, 0.06225969157860259, 0.23669640923923763, -0.0058604735072310035, -0.12999958145883284, -0.320159465013268, 0.09261573004340262, -0.10272527078019553, -0.19356609018225418, 0.1403587360278164, 0.039556895623191896, 0.07294965280514014, -0.18038146271321334, 0.1556325934553139, -0.026057998147351963, 0.254647500494397, -0.16822091586226107, -0.2079582802865556, -0.1645318766470729, 0.11434923915658146, -0.016521905524362075, -0.029316926191217806, 0.2221599422934416, -0.1100767640715563, 0.033958736059599016, 0.4015605749415332, -0.01421941222878032, 0.055377392985591495, 0.19515108310550108, -0.2237950851282987, -0.14490452116526858, 0.11435977577256333, 0.1680052940745985, 0.1464759332470988, -0.17939963403439738, 0.0016485426274716463, -0.01818182208501783, 0.23553701636295668, -0.0007511578120389267, 0.11820525336569469, 0.26344520923387454, 0.05623720919615344, -0.019860902494799933, 0.03845458118992515, -0.26891013312055484, -0.028122982372511422, -0.18275116228400484, -0.16250955353883145, -0.0649088042861733, 0.054588224959412686, -0.21325299287701982, -0.09479150884343605, 0.368013146210854, 0.003476988438418821, 0.21473193243391028, 0.09799032269266288, 0.28101238779307, 0.02608187970901398, 0.16502481735752603, 0.09290154535617483, 0.3435981015025295, 0.25248197154877217, 0.08908078867917586, -0.26045043479749247, 0.0865616534015556, -0.008264409427187945] |
709.2929 | Z boson decay to photon plus Kaluza-Klein graviton: large extra
dimensional bounds | We consider the phenomenology of the decay of a Z boson into a photon and a
Kaluza-Klein excitation of the graviton in the ADD model. Using LEP data, we
obtain an upper bound on the branching ratio corresponding to this process of
~10^-11. We also investigate energy profiles of the process.
| hep-ph hep-ex | we consider the phenomenology of the decay of a z boson into a photon and a kaluzaklein excitation of the graviton in the add model using lep data we obtain an upper bound on the branching ratio corresponding to this process of 1011 we also investigate energy profiles of the process | [['we', 'consider', 'the', 'phenomenology', 'of', 'the', 'decay', 'of', 'a', 'z', 'boson', 'into', 'a', 'photon', 'and', 'a', 'kaluzaklein', 'excitation', 'of', 'the', 'graviton', 'in', 'the', 'add', 'model', 'using', 'lep', 'data', 'we', 'obtain', 'an', 'upper', 'bound', 'on', 'the', 'branching', 'ratio', 'corresponding', 'to', 'this', 'process', 'of', '1011', 'we', 'also', 'investigate', 'energy', 'profiles', 'of', 'the', 'process']] | [-0.09681115819565843, 0.1728135442692791, -0.09875297997439024, 0.13028952954190054, -0.027013779152184725, -0.07959158051138122, 0.14158454088165479, 0.29892309541430545, -0.1968763899423328, -0.29096568803138595, 0.03978019854391688, -0.2761699083608155, -0.009802371254373415, 0.15977890968012312, 0.05373480636626482, 0.025879603116681762, 0.04381689403260894, 0.05560631914904304, -0.011311125494174514, -0.21816457394857472, 0.3297021049166135, 0.06554272730706953, 0.22929231986841736, 0.0815623351053207, 0.10556362633474682, 0.014218436211676282, -0.018301425793883847, -0.1270271823924108, -0.22440352158474863, 0.12631319202117475, 0.1102081726935199, 0.12671346605444947, 0.163157609638338, -0.3579587121220196, -0.11058724428727931, 0.13570245691374236, 0.1807565565093183, 0.1141478689570053, -0.05130456989932367, -0.2890273464076659, 0.07522399833553708, -0.20688164416773647, -0.0914847883669769, 0.0111669917618308, -0.022144640631535473, -0.055324540163079895, -0.3048777191662321, 0.09791768745316065, 0.02684613156552408, -0.019111764604139013, -0.07753510754920688, -0.11852775278555996, -0.049641757473057394, 0.022486579440095845, 0.11344936583533555, -0.01717200317401804, 0.13983776010390297, -0.19225595155091701, -0.16076048547584637, 0.3458249224897693, -0.16754368643331177, -0.1921179933729125, 0.14924788308859455, -0.17960171288281096, -0.15170650197165636, 0.15777202376036667, 0.2824924588751267, 0.10755805894002027, -0.15411240938028284, 0.16628993264120986, -0.04218854287675783, 0.1847970827354812, 0.04107402173765734, 0.06739593828644823, 0.19800660872430192, 0.20194237631763898, 0.019622842813202857, 0.19054982084415706, -0.1236475240758748, -0.01163459150120616, -0.37243659889288977, -0.19247264411031068, -0.09065908976766628, 0.09776582303183044, -0.08494803921847978, -0.1261306523765419, 0.38600771684272617, 0.13908039449768908, 0.3299573349090768, 0.0762059601644675, 0.282569009080237, 0.20730684367099814, 0.03442275515921852, 0.029270614196053323, 0.3111060145402364, 0.15136433317892106, 0.08263965280653507, -0.21052966496961958, -0.0509080835800691, 0.046152316079493244] |
709.293 | Asymptotic estimates for phi functions for subsets of {m+1, m+2,...,n} | Let f(m,n) denote the number of relatively prime subsets of {m+1,m+2,...,n},
and let Phi(m,n) denote the number of subsets A of {m+1,m+2,...,n} such that
gcd(A) is relatively prime to n. Let f_k(m,n) and Phi_k(m,n) be the analogous
counting functions restricted to sets of cardinality k. Simple explicit
formulas and asymptotic estimates are obtained for these four functions.
| math.NT math.CO | let fmn denote the number of relatively prime subsets of m1m2n and let phimn denote the number of subsets a of m1m2n such that gcda is relatively prime to n let f_kmn and phi_kmn be the analogous counting functions restricted to sets of cardinality k simple explicit formulas and asymptotic estimates are obtained for these four functions | [['let', 'fmn', 'denote', 'the', 'number', 'of', 'relatively', 'prime', 'subsets', 'of', 'm1m2n', 'and', 'let', 'phimn', 'denote', 'the', 'number', 'of', 'subsets', 'a', 'of', 'm1m2n', 'such', 'that', 'gcda', 'is', 'relatively', 'prime', 'to', 'n', 'let', 'f_kmn', 'and', 'phi_kmn', 'be', 'the', 'analogous', 'counting', 'functions', 'restricted', 'to', 'sets', 'of', 'cardinality', 'k', 'simple', 'explicit', 'formulas', 'and', 'asymptotic', 'estimates', 'are', 'obtained', 'for', 'these', 'four', 'functions']] | [-0.21314212518199435, 0.16255145080668745, -0.0519149406233205, 0.02204808755558125, -0.07460468376652812, -0.1549456883836889, 0.056995706984175824, 0.25520048936266665, -0.26288868616914973, -0.2874125999855405, 0.04455273832141791, -0.3245150983632314, -0.024791512732780626, 0.2620917486975778, -0.07448069202875113, -0.033038149333014244, -0.003176352782350666, 0.12460260785553816, -0.029891078109975974, -0.28014725204205737, 0.29890284725939326, -0.08900574923334818, 0.13801019568488282, 0.017783376968131877, 0.0642549971926887, 0.014886223157551491, 0.014817291659847746, 0.0720982735862358, -0.17323194826002572, 0.15459277143455902, 0.3038553361130773, 0.16686564887750824, 0.289110772100822, -0.38225287666438884, -0.10463548134485225, 0.3326179670380815, 0.22503058043888435, -0.11319460581004057, 0.0506928427988347, -0.20278749920708952, 0.24005847577146203, -0.12023648781315335, -0.1483375247708469, -0.11172983449233591, 0.11794186167348668, 0.09360437156667686, -0.3779100628815732, -0.08040127040431747, 0.010138798680789065, 0.12116859997359086, -0.029977403089122952, -0.24185231484402464, -0.024394679471920682, 0.0841403373095365, -0.02004994527999101, 0.06583770435690037, -0.011090313317254186, -0.046875121326730496, -0.07974832965377367, 0.3471575924458931, -0.003526586046407245, -0.2256733716096518, 0.10456629083404001, -0.23386517762786374, -0.1095453926608107, 0.10157229881382214, 0.13619095459580421, 0.17054690989964413, -0.01794895158975192, 0.18647327347557535, -0.14967242457007743, 0.08140053231058256, 0.11018990167363915, 0.0640356056128611, 0.13556474091085377, 0.044619852466122156, 0.041520034349611344, 0.19178146743962435, -0.004567179565300357, 0.07159005233771959, -0.36353020538698955, -0.08383094470174808, -0.208825871199018, 0.1738939118518863, -0.17940494671100443, -0.20088956905704625, 0.33343824466584987, 0.029766287426200678, 0.19989216123830597, 0.20762957506022364, 0.2117658519660527, 0.09114231738560605, 0.021144645358875114, 0.0941431685877999, -0.027739190145061828, 0.23262681056446624, -0.162758968911081, -0.16189947303489977, 0.056228980764676376, 0.17975423323377124] |
709.2931 | Taming the Yukawa potential singularity: improved evaluation of bound
states and resonance energies | Using the tools of the J-matrix method, we absorb the 1/r singularity of the
Yukawa potential in the reference Hamiltonian, which is handled analytically.
The remaining part, which is bound and regular everywhere, is treated by an
efficient numerical scheme in a suitable basis using Gauss quadrature
approximation. Analysis of resonance energies and bound states spectrum is
performed using the complex scaling method, where we show their trajectories in
the complex energy plane and demonstrate the remarkable fact that bound states
cross over into resonance states by varying the potential parameters.
| physics.atom-ph physics.chem-ph | using the tools of the jmatrix method we absorb the 1r singularity of the yukawa potential in the reference hamiltonian which is handled analytically the remaining part which is bound and regular everywhere is treated by an efficient numerical scheme in a suitable basis using gauss quadrature approximation analysis of resonance energies and bound states spectrum is performed using the complex scaling method where we show their trajectories in the complex energy plane and demonstrate the remarkable fact that bound states cross over into resonance states by varying the potential parameters | [['using', 'the', 'tools', 'of', 'the', 'jmatrix', 'method', 'we', 'absorb', 'the', '1r', 'singularity', 'of', 'the', 'yukawa', 'potential', 'in', 'the', 'reference', 'hamiltonian', 'which', 'is', 'handled', 'analytically', 'the', 'remaining', 'part', 'which', 'is', 'bound', 'and', 'regular', 'everywhere', 'is', 'treated', 'by', 'an', 'efficient', 'numerical', 'scheme', 'in', 'a', 'suitable', 'basis', 'using', 'gauss', 'quadrature', 'approximation', 'analysis', 'of', 'resonance', 'energies', 'and', 'bound', 'states', 'spectrum', 'is', 'performed', 'using', 'the', 'complex', 'scaling', 'method', 'where', 'we', 'show', 'their', 'trajectories', 'in', 'the', 'complex', 'energy', 'plane', 'and', 'demonstrate', 'the', 'remarkable', 'fact', 'that', 'bound', 'states', 'cross', 'over', 'into', 'resonance', 'states', 'by', 'varying', 'the', 'potential', 'parameters']] | [-0.12099535793966644, 0.09282702975794493, -0.10982637757762939, 0.07189766003924249, -0.002735186357992691, -0.12191233629933916, 0.05068354999933105, 0.35123620460649113, -0.24727887186927947, -0.28541675742183414, 0.03966427533145339, -0.2599769563217146, -0.15753619727975393, 0.20867443539632055, 0.04255919522800288, 0.09159746060946158, 0.08969061817605417, 0.0520114328323321, -0.038409788343175266, -0.20922855318493241, 0.3276153701935782, 0.05403666192113043, 0.2503261259900263, 0.09337053753967796, 0.06996250566054177, 0.03173668496566569, 0.02981943448821267, -0.011822622142742378, -0.10580471554903152, 0.12391733085278647, 0.20301788804955412, 0.08244058631033033, 0.2290264942151095, -0.40477025246882176, -0.1916965504514647, 0.08567577403980298, 0.17401147308723572, 0.0982253239822707, -0.027989313559054017, -0.308781462245631, 0.05548187816044786, -0.15849358622230345, -0.190995002370123, -0.1351086431704871, -0.01629150632236685, 0.020446774025273683, -0.28476280416617844, 0.0951012623864789, 0.03693040857439513, 0.02984934389958373, -0.07306736879623853, -0.10195118048136215, -0.025976570008404472, 0.08189273963856337, 0.006168457839481602, 0.009432833460108429, 0.10897375950282746, -0.09281540492672351, -0.06208101604747903, 0.3536372862162662, -0.08050573439398719, -0.24490416568836995, 0.11796172196557234, -0.1337436144905431, -0.05748672000449765, 0.16868894539036594, 0.145389129868248, 0.16595839308370108, -0.13896303605492955, 0.16345047638406157, 0.008736085187602828, 0.15990765574951094, 0.08225130370644095, -0.00423450539257009, 0.14639953764380662, 0.1120602920201126, 0.0570295482137046, 0.1311420361501175, -0.08014992515525811, -0.13119865447323728, -0.3105935835699131, -0.11897932903285927, -0.24406596921143828, 0.0121171873044939, -0.06986619819132842, -0.14977478856159435, 0.4076851515323202, 0.08828078259606488, 0.2107555096723385, 0.0046139167708723425, 0.3335425138657728, 0.18561157105224474, 0.08365761756303382, 0.0903155802349959, 0.2666977712331892, 0.13124007797687426, 0.025517878136699916, -0.20557795289985753, -0.016078872560103843, 0.07682636937965731] |
709.2932 | Stabilizing the Runaway Quiver in Supergravity | We study stabilizations of the supersymmetry breaking runaway quiver in
string embeddings. Calculations are performed in four dimensional effective
supergravity. Constraints on closed string fields in a type IIA construction
are given. The particular case of stabilization by stringy instanton effects in
a type IIB model is considered.
| hep-th | we study stabilizations of the supersymmetry breaking runaway quiver in string embeddings calculations are performed in four dimensional effective supergravity constraints on closed string fields in a type iia construction are given the particular case of stabilization by stringy instanton effects in a type iib model is considered | [['we', 'study', 'stabilizations', 'of', 'the', 'supersymmetry', 'breaking', 'runaway', 'quiver', 'in', 'string', 'embeddings', 'calculations', 'are', 'performed', 'in', 'four', 'dimensional', 'effective', 'supergravity', 'constraints', 'on', 'closed', 'string', 'fields', 'in', 'a', 'type', 'iia', 'construction', 'are', 'given', 'the', 'particular', 'case', 'of', 'stabilization', 'by', 'stringy', 'instanton', 'effects', 'in', 'a', 'type', 'iib', 'model', 'is', 'considered']] | [-0.19974696052183086, 0.15801844553789124, -0.0049774165187651915, 0.19060389574588044, -0.10423989105038345, -0.18023560588092855, 0.000521033420227468, 0.29875883455194224, -0.1410908174390594, -0.23354500947364917, 0.11620121284310396, -0.2333124351571314, -0.15997751393782286, 0.11000648122474861, -0.12095795905527969, -0.04169613745762035, 0.033361142384819686, 0.05856805668251278, -0.09532567610343297, -0.34262728799755376, 0.3845282215770567, -0.04799638040397743, 0.2850110645134312, -0.007841796381399035, 0.06019865574004749, -0.04016368203641226, -0.0039477454459605115, 0.02385678212158382, -0.1594056079428204, 0.12734461964767738, 0.2232213254707555, 0.06352607511992876, 0.05945890837271387, -0.48702080140355974, -0.2586542224689765, 0.10843206590895231, 0.19953594292746857, 0.21846939714547867, -0.06045700607016139, -0.24015827395002512, 0.06581597341573797, -0.1743882288962292, -0.14390912978948714, -0.06716936471639201, 0.029765336395939812, -0.07039069078261188, -0.25829001570430893, 0.031284689453968895, -0.027676322766637895, 0.04691292258560983, -0.10695577680598944, -0.052101825337255527, -0.07501127745490521, 0.014253100535521904, 0.13228643845892898, 0.050693173596907094, 0.11169647360414577, -0.20353466033899772, -0.20601011102553457, 0.36391187509677064, -0.0659649781009648, -0.2405525638605468, 0.11620352617076908, -0.0709064069960732, -0.23998503029967347, 0.13492946101663014, 0.10305279111101602, 0.19265029144783816, -0.11649499665751743, 0.28466847744615126, 0.006402273587203429, 0.0696040301118046, 0.12335464670710887, 0.05679692539464062, 0.2533223162948464, 0.19098787082960675, -0.036905142887311136, 0.1450247350924959, -0.0187387966774016, -0.12754245308072618, -0.47601114029142383, -0.059822712448294624, -0.054197544765581064, 0.1661683793499833, -0.1529529920371715, -0.19007473694121776, 0.32703976387468475, 0.019644823132694, 0.13890720694325864, 0.014733020895315955, 0.1530268887775795, 0.04334485109817857, 0.07678803405239402, -0.009754869960791742, 0.23309528934381282, 0.14885232737772944, 0.03525344477384351, -0.2468300028364562, -0.16425236879149452, 0.28550850827014074] |
709.2933 | On the realization of double occurrence words | Let S be a double occurrence word, and let M_S be the word's interlacement
matrix, regarded as a matrix over GF(2). Gauss addressed the question of which
double occurrence words are realizable by generic closed curves in the plane.
We reformulate answers given by Rosenstiehl and by de Fraysseix and Ossona de
Mendez to give new graph-theoretic and algebraic characterizations of
realizable words. Our algebraic characterization is especially pleasing: S is
realizable if and only if there exists a diagonal matrix D_S such that M_S+D_S
is idempotent over GF(2).
| math.CO | let s be a double occurrence word and let m_s be the words interlacement matrix regarded as a matrix over gf2 gauss addressed the question of which double occurrence words are realizable by generic closed curves in the plane we reformulate answers given by rosenstiehl and by de fraysseix and ossona de mendez to give new graphtheoretic and algebraic characterizations of realizable words our algebraic characterization is especially pleasing s is realizable if and only if there exists a diagonal matrix d_s such that m_sd_s is idempotent over gf2 | [['let', 's', 'be', 'a', 'double', 'occurrence', 'word', 'and', 'let', 'm_s', 'be', 'the', 'words', 'interlacement', 'matrix', 'regarded', 'as', 'a', 'matrix', 'over', 'gf2', 'gauss', 'addressed', 'the', 'question', 'of', 'which', 'double', 'occurrence', 'words', 'are', 'realizable', 'by', 'generic', 'closed', 'curves', 'in', 'the', 'plane', 'we', 'reformulate', 'answers', 'given', 'by', 'rosenstiehl', 'and', 'by', 'de', 'fraysseix', 'and', 'ossona', 'de', 'mendez', 'to', 'give', 'new', 'graphtheoretic', 'and', 'algebraic', 'characterizations', 'of', 'realizable', 'words', 'our', 'algebraic', 'characterization', 'is', 'especially', 'pleasing', 's', 'is', 'realizable', 'if', 'and', 'only', 'if', 'there', 'exists', 'a', 'diagonal', 'matrix', 'd_s', 'such', 'that', 'm_sd_s', 'is', 'idempotent', 'over', 'gf2']] | [-0.16939957668496805, 0.16396079494205135, -0.042760494207455355, 0.08816220424937042, -0.1069798286057035, -0.20710897008062934, 0.05391830445097929, 0.30727883758795954, -0.32539427803236654, -0.2221493290324526, 0.08159445105411578, -0.2701224093960429, -0.16856022210347213, 0.21126201973410472, -0.13306300495010379, -0.011176400600974872, 0.041480332644740964, 0.09041164653502744, -0.08916152984866957, -0.29879390695978975, 0.30995676676023076, -0.03828973465980115, 0.16541625440798022, 0.0372140508023387, 0.11971674985993146, 0.045431220464789396, 0.0029566630414179103, 0.024161135814872316, -0.1621724047559341, 0.08700744854881619, 0.38314427621662617, 0.18400655170923777, 0.18700563964772632, -0.33257865863428876, -0.16366739094320853, 0.18392087882702154, 0.15767186453475998, 0.008454051370129244, -0.01103346324949102, -0.2911506273402748, 0.15969550466186114, -0.1397022338748105, -0.09041495533264507, -0.08925237732844173, 0.09806251418988475, 0.0007280277892608534, -0.2656608456983866, -0.0017417410907166247, 0.12564047109547324, 0.10026896631726148, 0.04116825970016758, -0.13518109245342202, 0.023098541775570167, 0.03898195786380463, -0.0540080505809535, 0.09702258288796822, 0.038559325568547305, -0.010977777546610345, -0.1323760794899003, 0.36682687333615666, -0.07125108388506553, -0.21712267483499917, 0.07091649467309419, -0.12461741896748374, -0.0889799624181416, 0.11524299268653108, 0.04746100973253223, 0.1099536247890104, -0.060805782120124524, 0.20780106624641287, -0.1588350294729356, 0.13277152592623184, 0.18744961198271168, -0.0015375494946387005, 0.1970555155262859, 0.07722497962161222, 0.0415256724385968, 0.0827323438755808, 0.044047218853269114, -0.002798796948892149, -0.28712987330403517, -0.16138059132605453, -0.18054801497253886, 0.1335518708431416, -0.09545516983036412, -0.21699258799410678, 0.3846173918467354, 0.04716607462879355, 0.20830476223702796, 0.07265055941719435, 0.19791679353511427, 0.08462100196100603, 0.009206003276631236, 0.10109275810166517, 0.0658162148161368, 0.22297667201597837, -0.029139971162129023, -0.133856142077341, 0.077196673812895, 0.1841610463029197] |
709.2934 | Quantum Hall Transition near a Fermion Feshbach Resonance in a Rotating
Trap | We consider two-species of fermions in a rotating trap that interact via an
s-wave Feshbach resonance, at total Landau level filling factor two (or one for
each species). We show that the system undergoes a quantum phase transition
from a fermion integer quantum Hall state to a boson fractional quantum Hall
state as the pairing interaction strength increases, with the transition
occurring near the resonance. The effective field theory for the transition is
shown to be that of a (emergent) massless relativistic bosonic field coupled to
a Chern-Simons gauge field, with the coupling giving rise to semionic
statistics to the emergent particles.
| cond-mat.mes-hall cond-mat.str-el | we consider twospecies of fermions in a rotating trap that interact via an swave feshbach resonance at total landau level filling factor two or one for each species we show that the system undergoes a quantum phase transition from a fermion integer quantum hall state to a boson fractional quantum hall state as the pairing interaction strength increases with the transition occurring near the resonance the effective field theory for the transition is shown to be that of a emergent massless relativistic bosonic field coupled to a chernsimons gauge field with the coupling giving rise to semionic statistics to the emergent particles | [['we', 'consider', 'twospecies', 'of', 'fermions', 'in', 'a', 'rotating', 'trap', 'that', 'interact', 'via', 'an', 'swave', 'feshbach', 'resonance', 'at', 'total', 'landau', 'level', 'filling', 'factor', 'two', 'or', 'one', 'for', 'each', 'species', 'we', 'show', 'that', 'the', 'system', 'undergoes', 'a', 'quantum', 'phase', 'transition', 'from', 'a', 'fermion', 'integer', 'quantum', 'hall', 'state', 'to', 'a', 'boson', 'fractional', 'quantum', 'hall', 'state', 'as', 'the', 'pairing', 'interaction', 'strength', 'increases', 'with', 'the', 'transition', 'occurring', 'near', 'the', 'resonance', 'the', 'effective', 'field', 'theory', 'for', 'the', 'transition', 'is', 'shown', 'to', 'be', 'that', 'of', 'a', 'emergent', 'massless', 'relativistic', 'bosonic', 'field', 'coupled', 'to', 'a', 'chernsimons', 'gauge', 'field', 'with', 'the', 'coupling', 'giving', 'rise', 'to', 'semionic', 'statistics', 'to', 'the', 'emergent', 'particles']] | [-0.20036828118335345, 0.3260004488061075, -0.06783148602984261, 0.05092647645791408, -0.042526566806961506, -0.22350862846417607, 0.039128873187948165, 0.29089478353111475, -0.2201528023932969, -0.27140438185968235, -0.046259092880349025, -0.30153998517084357, -0.12872921344687177, 0.0900800178699451, 0.08026507516921151, 0.005327231122874746, -0.02076244536632051, 0.10137126917777327, -0.07196931531150624, -0.2028122238801135, 0.3499943554017912, -0.005394511841301459, 0.24299692941427814, 0.053295361923565175, 0.09544308985784358, 0.006299199576032526, 0.17305610200627616, 0.003199088050499924, -0.12120717979261969, 0.030252182646198014, 0.23275044713883808, -0.07084385627040676, 0.18841183671326028, -0.40131294046181676, -0.19875612445677832, 0.040954258393350186, 0.17144942944686786, 0.19986923412858126, -0.057737478287890553, -0.3481229684479973, -0.034056259266685186, -0.20875692016424557, -0.15245664106595203, -0.06444447348122577, -0.009483850680921665, -0.09939745180400125, -0.30989970659207117, 0.08880955102144714, 0.02769924269751737, 0.070440263195219, -0.06281591206789017, -0.07486129399987083, -0.022186427135203107, 0.06969058487390843, 0.036235892169369274, 0.0802626794985354, 0.16921137735777186, -0.23025281538766826, -0.16130166577960492, 0.386504914611578, -0.13903438752772762, -0.15850371628196216, 0.20562608620407535, -0.16923669950269601, -0.07363255530756707, 0.19238516428124378, 0.1464443175469105, 0.04160996347519697, -0.08602147816004706, 0.10251951433247979, -0.037659362469818075, 0.17087594405108808, 0.025422671077060786, 0.05384433427003815, 0.3096291376825641, 0.12280221838577121, 0.053877710456065105, 0.17062448618782902, -0.0897951737986695, -0.17015756686747657, -0.2922997587890017, -0.20005222054782743, -0.19893448895263469, 0.09987913137393109, -0.013639107692356715, -0.19875682504732373, 0.3890094575928707, 0.15112475278004364, 0.1956119496100441, -0.032925012704058024, 0.22085660343359717, 0.2146890412219435, 0.06508579885806232, 0.02702931284575778, 0.2515497414855168, 0.19765010068887004, 0.07058101594813314, -0.3347866163776238, -0.1000493399470168, 0.08459132182521417] |
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