id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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707.203 | On the definition of the \Delta mass and width | In the framework of effective field theory we show that, at two-loop order,
the mass and width of the \Delta resonance defined via the (relativistic)
Breit-Wigner parametrization both depend on the choice of field variables. In
contrast, the complex-valued position of the pole of the propagator is
independent of this choice.
| hep-ph | in the framework of effective field theory we show that at twoloop order the mass and width of the delta resonance defined via the relativistic breitwigner parametrization both depend on the choice of field variables in contrast the complexvalued position of the pole of the propagator is independent of this choice | [['in', 'the', 'framework', 'of', 'effective', 'field', 'theory', 'we', 'show', 'that', 'at', 'twoloop', 'order', 'the', 'mass', 'and', 'width', 'of', 'the', 'delta', 'resonance', 'defined', 'via', 'the', 'relativistic', 'breitwigner', 'parametrization', 'both', 'depend', 'on', 'the', 'choice', 'of', 'field', 'variables', 'in', 'contrast', 'the', 'complexvalued', 'position', 'of', 'the', 'pole', 'of', 'the', 'propagator', 'is', 'independent', 'of', 'this', 'choice']] | [-0.14506521885849388, 0.13144892375624062, -0.10650223810408338, 0.055498780828772805, -0.07439166227099943, -0.048749445079296246, 0.022899152498747057, 0.3429239936099917, -0.20886752402008163, -0.2830503361628336, 0.01942118165521499, -0.21450406995912394, -0.12925932286124603, 0.15014475293676643, 0.023422691642361528, 0.02213363239870352, 0.01559085052862179, 0.12642615113188238, -0.07634259551745273, -0.1939676618386133, 0.39891763225964766, 0.019087651525350177, 0.22079429503384174, 0.08593984525285515, 0.10048519084960514, 0.10510153599156469, -0.04546841457668765, -0.012333811169453696, -0.12177890395433483, 0.0801253170961989, 0.1479757741531905, 0.06333333960213292, 0.20069245566778324, -0.33141015428027104, -0.15136184063100933, 0.05326816521804122, 0.15716627724103482, 0.08314734484598625, 0.02152011120536675, -0.2538530556667669, 0.0157492152579567, -0.14213972074874476, -0.190051694838878, -0.036474200659522824, -0.025389941532493514, 0.0030217988818299537, -0.3149905511561562, 0.09262538167782694, -0.011778942811503714, 0.025544170418060293, -0.048305422213732026, -0.1720375843601776, -0.015178645257929377, 0.0754018533500094, 0.07906179323189837, 0.09046716637471143, 0.15021215788246814, -0.18288044952422233, -0.06407730686752235, 0.37178800788288024, -0.11975683975170422, -0.23190223369016952, 0.08633718250648063, -0.21814479624085567, -0.09855885219340231, 0.13619710968843862, 0.14892173346643353, 0.13766902426769043, -0.14029364589163484, 0.18342849891518662, -0.029283481611249346, 0.16124248457159482, 0.0942361220790475, 0.04008165987062396, 0.1705261070609969, 0.11963030569912757, 0.01427943940849646, 0.04191248173661092, -0.09366891651377812, -0.12525559413958998, -0.4042507902372117, -0.10111304870167491, -0.1802105621580838, -0.008254094195424342, -0.13641933096982492, -0.20474786980661983, 0.4461566811317907, 0.17146849902529343, 0.22054920844076312, 0.01793340438356002, 0.27835924470541523, 0.21993102297853387, 0.08126142759825669, 0.03419778677726201, 0.2785778306059393, 0.17970139805373608, 0.05343497319000901, -0.31346442303894195, -0.0006035546333912541, 0.05048270014059894] |
707.2031 | Ultrathin oxides: bulk-oxide-like model surfaces or unique films? | To better understand the electronic and chemical properties of wide-gap oxide
surfaces at the atomic scale, experimental work has focused on epitaxial films
on metal substrates. Recent findings show that these films are considerably
thinner than previously thought. This raises doubts about the transferability
of the results to surface properties of thicker films and bulk crystals. By
means of density-functional theory and approximate GW corrections for the
electronic spectra we demonstrate for three characteristic wide-gap oxides
(silica, alumina, and hafnia) the influence of the substrate and highlight
critical differences between the ultrathin films and surfaces of bulk
materials. Our results imply that monolayer-thin oxide films have rather unique
properties.
| cond-mat.mtrl-sci | to better understand the electronic and chemical properties of widegap oxide surfaces at the atomic scale experimental work has focused on epitaxial films on metal substrates recent findings show that these films are considerably thinner than previously thought this raises doubts about the transferability of the results to surface properties of thicker films and bulk crystals by means of densityfunctional theory and approximate gw corrections for the electronic spectra we demonstrate for three characteristic widegap oxides silica alumina and hafnia the influence of the substrate and highlight critical differences between the ultrathin films and surfaces of bulk materials our results imply that monolayerthin oxide films have rather unique properties | [['to', 'better', 'understand', 'the', 'electronic', 'and', 'chemical', 'properties', 'of', 'widegap', 'oxide', 'surfaces', 'at', 'the', 'atomic', 'scale', 'experimental', 'work', 'has', 'focused', 'on', 'epitaxial', 'films', 'on', 'metal', 'substrates', 'recent', 'findings', 'show', 'that', 'these', 'films', 'are', 'considerably', 'thinner', 'than', 'previously', 'thought', 'this', 'raises', 'doubts', 'about', 'the', 'transferability', 'of', 'the', 'results', 'to', 'surface', 'properties', 'of', 'thicker', 'films', 'and', 'bulk', 'crystals', 'by', 'means', 'of', 'densityfunctional', 'theory', 'and', 'approximate', 'gw', 'corrections', 'for', 'the', 'electronic', 'spectra', 'we', 'demonstrate', 'for', 'three', 'characteristic', 'widegap', 'oxides', 'silica', 'alumina', 'and', 'hafnia', 'the', 'influence', 'of', 'the', 'substrate', 'and', 'highlight', 'critical', 'differences', 'between', 'the', 'ultrathin', 'films', 'and', 'surfaces', 'of', 'bulk', 'materials', 'our', 'results', 'imply', 'that', 'monolayerthin', 'oxide', 'films', 'have', 'rather', 'unique', 'properties']] | [-0.06412076996132056, 0.1411586777614686, -0.0639978940854994, -0.0034550552976257893, -0.01192023635386925, -0.11111801860367007, 0.09099810649405891, 0.47346651251641436, -0.21840346434127983, -0.31938406592662183, 0.016608925159794168, -0.3516149453887152, -0.16623961565366716, 0.26047218413254536, 0.015426329436387286, 0.07035207016384998, -0.03600418921389164, -0.18779641047222626, -0.14173535213147828, -0.23692820486057242, 0.3089589073168917, 0.05724474379297243, 0.3533126951938649, 0.15698826669740978, -0.016951146720344663, -0.10552234632398831, 0.12230931267723305, 0.00661038172884135, -0.2265178654947662, 0.14369594269867883, 0.24297214378314436, -0.14887007875282557, 0.18644134093657, -0.567034479640766, -0.2860162104949902, -0.05692010622262237, 0.08799988878549102, 0.11528853123682901, -0.1163315944001933, -0.25194386334730945, 0.11769013017962832, -0.059020272002196575, -0.10824583984757645, -0.10100535389651126, -0.024022987637606904, 0.005874716159310876, -0.15481968796940163, 0.036899654759901014, 0.08288198125916063, 0.1277986285490317, -0.134531943691433, -0.20884448433414513, -0.13079802716073982, 0.029870291129438155, 0.08866878821933215, -0.004162311722703893, 0.26754727107344556, -0.12789494532946533, -0.08966815821535953, 0.37396859309268654, -0.023484484829385595, -0.0758847320119107, 0.21775910623986786, -0.19164401329968364, -0.05251734476075123, 0.14768930880455386, 0.11383770352844662, 0.14333904582426088, -0.13198081401834658, 0.06700933458595408, -0.006605810912992429, 0.25089512892289584, 0.10663315533754339, 0.13312771695307157, 0.22172646135638613, 0.23168798209458522, -0.03561936685208812, 0.11390066705216918, -0.058739755007891206, 0.01361074054041245, -0.13539505698675408, -0.25523817557158, -0.1835540173780344, 0.0700232614549475, -0.11609629058698832, -0.22873667799312314, 0.36798288483480246, 0.15588333908844432, 0.12302207885472395, -0.04763147570919075, 0.18164297024112777, -0.028730370184415183, 0.06711205105305812, -0.03241222280872251, 0.30257536373485666, 0.1642389096759704, 0.08969075405337942, -0.211910286935371, 0.1729878625723559, -0.008299811115197906] |
707.2032 | The nature of the hard state of Cygnus X-3 | The X-ray binary Cygnus X-3 is a highly variable X-ray source that displays a
wide range of observed spectral states. One of the main states is significantly
harder than the others, peaking at ~ 20 keV, with only a weak low-energy
component. Due to the enigmatic nature of this object, hidden inside the strong
stellar wind of its Wolf-Rayet companion, it has remained unclear whether this
state represents an intrinsic hard state, with truncation of the inner disc, or
whether it is just a result of increased local absorption. We study the X-ray
light curves from RXTE/ASM and CGRO/BATSE in terms of distributions and
correlations of flux and hardness and find several signs of a bimodal behaviour
of the accretion flow that are not likely to be the result of increased
absorption in a surrounding medium. Using INTEGRAL observations, we model the
broad-band spectrum of Cyg X-3 in its apparent hard state. We find that it can
be well described by a model of a hard state with a truncated disc, despite the
low cut-off energy, if the accreted power is supplied to the electrons in the
inner flow in the form of acceleration rather than thermal heating, resulting
in a hybrid electron distribution and a spectrum with a significant
contribution from non-thermal Comptonization, usually observed only in soft
states. The high luminosity of this non-thermal hard state implies that either
the transition takes place at significantly higher L/Ledd than in the usual
advection models, or the mass of the compact object is > 20 Msun, possibly
making it the most massive black hole observed in an X-ray binary in our Galaxy
so far. We find that an absorption model as well as a model of almost pure
Compton reflection also fit the data well, but both have difficulties
explaining other results, in particular the radio/X-ray correlation.
| astro-ph | the xray binary cygnus x3 is a highly variable xray source that displays a wide range of observed spectral states one of the main states is significantly harder than the others peaking at 20 kev with only a weak lowenergy component due to the enigmatic nature of this object hidden inside the strong stellar wind of its wolfrayet companion it has remained unclear whether this state represents an intrinsic hard state with truncation of the inner disc or whether it is just a result of increased local absorption we study the xray light curves from rxteasm and cgrobatse in terms of distributions and correlations of flux and hardness and find several signs of a bimodal behaviour of the accretion flow that are not likely to be the result of increased absorption in a surrounding medium using integral observations we model the broadband spectrum of cyg x3 in its apparent hard state we find that it can be well described by a model of a hard state with a truncated disc despite the low cutoff energy if the accreted power is supplied to the electrons in the inner flow in the form of acceleration rather than thermal heating resulting in a hybrid electron distribution and a spectrum with a significant contribution from nonthermal comptonization usually observed only in soft states the high luminosity of this nonthermal hard state implies that either the transition takes place at significantly higher lledd than in the usual advection models or the mass of the compact object is 20 msun possibly making it the most massive black hole observed in an xray binary in our galaxy so far we find that an absorption model as well as a model of almost pure compton reflection also fit the data well but both have difficulties explaining other results in particular the radioxray correlation | [['the', 'xray', 'binary', 'cygnus', 'x3', 'is', 'a', 'highly', 'variable', 'xray', 'source', 'that', 'displays', 'a', 'wide', 'range', 'of', 'observed', 'spectral', 'states', 'one', 'of', 'the', 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707.2033 | A microscopic modeling of phonon dynamics and charge response in NdCuO | A description of phonon dynamics and charge response of the $n$-doped
high-temperature superconductor (HTSC) NdCuO is presented based upon a
microscopic modeling of the electronic density response. This is accomplished
starting from the insulating state via the underdoped strange metallic to the
more conventional metallic state by consecutive orbital selective
incompressibility-compressibility transitions in terms of strict sum rules for
the charge response. The approach proposed in this work for the $n$-doped
HTSC's modifies the modeling recently applied to the $p$-doped compounds and
expresses an electron-hole asymmetry introduced by doping. A qualitative
physical picture consistent with our modeling of the electronic state in the
cuprates is given in which a sufficiently broad set of orbital degrees of
freedom, i.e. Cu3d/$4s$ and O$2p$ is essential. Within the framework of linear
response theory we calculate full phonon dispersion curves in the different
phases. In particular, the strongly doping dependent anomalous high-frequency
oxygen bond-stretching modes (OBSM) found experimentally in the $p$-doped
HTSC's and also recently for $n$-doped Nd$_{1.85}$Ce$_{0.15}$CuO$_{4}$ are
investigated and compared with experimental results from inelastic neutron
scattering and inelastic x-ray scattering, respectively. We calculate an
anticrossing scenario for the OBSM in $n$-doped NdCuO which is absent in the
case of $p$-doped LaCuO and relate it to the different crystal structure.
Phonon-induced electronic charge redistributions of the anomalous OBSM due to
nonlocal electron-phonon interaction effects of charge-fluctuation type giving
reason to dynamic stripes are also studied.
| cond-mat.supr-con cond-mat.mtrl-sci | a description of phonon dynamics and charge response of the ndoped hightemperature superconductor htsc ndcuo is presented based upon a microscopic modeling of the electronic density response this is accomplished starting from the insulating state via the underdoped strange metallic to the more conventional metallic state by consecutive orbital selective incompressibilitycompressibility transitions in terms of strict sum rules for the charge response the approach proposed in this work for the ndoped htscs modifies the modeling recently applied to the pdoped compounds and expresses an electronhole asymmetry introduced by doping a qualitative physical picture consistent with our modeling of the electronic state in the cuprates is given in which a sufficiently broad set of orbital degrees of freedom ie cu3d4s and o2p is essential within the framework of linear response theory we calculate full phonon dispersion curves in the different phases in particular the strongly doping dependent anomalous highfrequency oxygen bondstretching modes obsm found experimentally in the pdoped htscs and also recently for ndoped nd_185ce_015cuo_4 are investigated and compared with experimental results from inelastic neutron scattering and inelastic xray scattering respectively we calculate an anticrossing scenario for the obsm in ndoped ndcuo which is absent in the case of pdoped lacuo and relate it to the different crystal structure phononinduced electronic charge redistributions of the anomalous obsm due to nonlocal electronphonon interaction effects of chargefluctuation type giving reason to dynamic stripes are also studied | [['a', 'description', 'of', 'phonon', 'dynamics', 'and', 'charge', 'response', 'of', 'the', 'ndoped', 'hightemperature', 'superconductor', 'htsc', 'ndcuo', 'is', 'presented', 'based', 'upon', 'a', 'microscopic', 'modeling', 'of', 'the', 'electronic', 'density', 'response', 'this', 'is', 'accomplished', 'starting', 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707.2034 | Conception Isotropique D'Une Morphologie Parall\`Ele : Application \`a
L'Usinage | The aim of this paper is the isotropic design of a hybrid morphology
dedicated to 3-axis machining applications. It is necessary to ensure the
feasibility of continuous, singularity-free trajectories, as well as a good
manipulability in position and velocity. We want to propose an alternative
design to conventional serial machine-tools. We compare a serial PPP
machine-tool (three prismatic orthogonal axes) with a hybrid architecture which
we optimize only the first two axes. The critrerion used for the optimization
is the conditioning of the Jacobian matrices. The optimum, namely isotropy, can
be obtained which provides our architecture with excellent manipulability
properties.
| cs.RO | the aim of this paper is the isotropic design of a hybrid morphology dedicated to 3axis machining applications it is necessary to ensure the feasibility of continuous singularityfree trajectories as well as a good manipulability in position and velocity we want to propose an alternative design to conventional serial machinetools we compare a serial ppp machinetool three prismatic orthogonal axes with a hybrid architecture which we optimize only the first two axes the critrerion used for the optimization is the conditioning of the jacobian matrices the optimum namely isotropy can be obtained which provides our architecture with excellent manipulability properties | [['the', 'aim', 'of', 'this', 'paper', 'is', 'the', 'isotropic', 'design', 'of', 'a', 'hybrid', 'morphology', 'dedicated', 'to', '3axis', 'machining', 'applications', 'it', 'is', 'necessary', 'to', 'ensure', 'the', 'feasibility', 'of', 'continuous', 'singularityfree', 'trajectories', 'as', 'well', 'as', 'a', 'good', 'manipulability', 'in', 'position', 'and', 'velocity', 'we', 'want', 'to', 'propose', 'an', 'alternative', 'design', 'to', 'conventional', 'serial', 'machinetools', 'we', 'compare', 'a', 'serial', 'ppp', 'machinetool', 'three', 'prismatic', 'orthogonal', 'axes', 'with', 'a', 'hybrid', 'architecture', 'which', 'we', 'optimize', 'only', 'the', 'first', 'two', 'axes', 'the', 'critrerion', 'used', 'for', 'the', 'optimization', 'is', 'the', 'conditioning', 'of', 'the', 'jacobian', 'matrices', 'the', 'optimum', 'namely', 'isotropy', 'can', 'be', 'obtained', 'which', 'provides', 'our', 'architecture', 'with', 'excellent', 'manipulability', 'properties']] | [-0.14746500106471383, 0.0058675601911239265, -0.09843707359776054, 0.013871713675088155, -0.11748710925671824, -0.14195833013069872, -0.00948823275156224, 0.4601685925557905, -0.27346772886812687, -0.25929742375369735, 0.09789192405581588, -0.18654866034773235, -0.154977840732555, 0.16465751651902588, -0.08875737741247428, 0.10883214402075486, 0.04530456255912325, 0.009135531095255698, -0.10277504175877655, -0.22058985144736207, 0.24625853708130307, 0.09460730501925763, 0.3311506955295193, -0.018949055792383696, 0.1289665030306015, 0.023242965782517378, 0.04619132376713108, 0.014903968124061215, -0.11425332266039082, 0.14469139601403316, 0.2437069593947761, 0.13368911951381182, 0.2543640866571543, -0.3938962710565146, -0.12672371490459358, 0.09538268774975928, 0.1277788999034282, 0.0605625935654365, -0.03299164127235358, -0.20996037271938153, 0.1072248567503934, -0.15734459046863628, -0.15210235622778004, -0.06798886433623884, -0.05555871024499742, 0.056056418936053405, -0.3055798271480872, 0.00822119945090036, 0.03992072423582668, 0.02121657114095834, -0.03843636994668263, -0.10300587030241684, -0.006798798703037354, 0.14911659635907534, 0.0014283646857936162, 0.01480138140768573, 0.1167017654848418, -0.030309340643354367, -0.13795292647365404, 0.43348807389182703, -0.02678987502633613, -0.2468870171174711, 0.1959830141740338, -0.05083167474070678, -0.11191739602850712, 0.08572603245645914, 0.18501315625118359, 0.10172700638673743, -0.18184580532263736, 0.023415803694883743, 0.00030539101654929776, 0.1646323907284104, 0.02747396169122242, -0.005245351365634373, 0.19784279165989055, 0.22268388706392475, 0.08311065400437433, 0.1807724228021879, -0.10845127884222537, -0.07592259342212002, -0.29750005141546837, -0.2147468018383548, -0.16389875414268096, 0.014297721247017687, -0.09004944051144886, -0.15483600581635018, 0.4176110581171756, 0.1732379390468479, 0.20172580043614216, 0.05337964229485286, 0.37454896856441483, 0.0353440101845285, 0.05624123554372666, 0.056676043045459965, 0.23845617839952513, 0.11053980559213693, 0.10338230303260593, -0.21000694378032064, 0.07406118930298455, 0.01758288872447245] |
707.2035 | Effect of Minimal lengths on Electron Magnetism | We study the magnetic properties of electron in a constant magnetic field and
confined by a isotropic two dimensional harmonic oscillator on a space where
the coordinates and momenta operators obey generalized commutation relations
leading to the appearance of a minimal length. Using the momentum space
representation we determine exactly the energy eigenvalues and eigenfunctions.
We prove that the usual degeneracy of Landau levels is removed by the presence
of the minimal length in the limits of weak and strong magnetic field.The
thermodynamical properties of the system, at high temperature, are also
investigated showing a new magnetic behavior in terms of the minimal length.
| quant-ph | we study the magnetic properties of electron in a constant magnetic field and confined by a isotropic two dimensional harmonic oscillator on a space where the coordinates and momenta operators obey generalized commutation relations leading to the appearance of a minimal length using the momentum space representation we determine exactly the energy eigenvalues and eigenfunctions we prove that the usual degeneracy of landau levels is removed by the presence of the minimal length in the limits of weak and strong magnetic fieldthe thermodynamical properties of the system at high temperature are also investigated showing a new magnetic behavior in terms of the minimal length | [['we', 'study', 'the', 'magnetic', 'properties', 'of', 'electron', 'in', 'a', 'constant', 'magnetic', 'field', 'and', 'confined', 'by', 'a', 'isotropic', 'two', 'dimensional', 'harmonic', 'oscillator', 'on', 'a', 'space', 'where', 'the', 'coordinates', 'and', 'momenta', 'operators', 'obey', 'generalized', 'commutation', 'relations', 'leading', 'to', 'the', 'appearance', 'of', 'a', 'minimal', 'length', 'using', 'the', 'momentum', 'space', 'representation', 'we', 'determine', 'exactly', 'the', 'energy', 'eigenvalues', 'and', 'eigenfunctions', 'we', 'prove', 'that', 'the', 'usual', 'degeneracy', 'of', 'landau', 'levels', 'is', 'removed', 'by', 'the', 'presence', 'of', 'the', 'minimal', 'length', 'in', 'the', 'limits', 'of', 'weak', 'and', 'strong', 'magnetic', 'fieldthe', 'thermodynamical', 'properties', 'of', 'the', 'system', 'at', 'high', 'temperature', 'are', 'also', 'investigated', 'showing', 'a', 'new', 'magnetic', 'behavior', 'in', 'terms', 'of', 'the', 'minimal', 'length']] | [-0.19034116711610785, 0.2110721308630533, -0.01777602370710313, 0.09319267825496634, -0.0312154711506222, -0.06790589119862908, 0.020486077181815814, 0.320220148007278, -0.2612083095770616, -0.2751422585794129, 0.02976374277652492, -0.2703895767738756, -0.10053103773791988, 0.16689476664088523, 0.015461714732317397, 0.019508132482699763, 0.007936383855009738, 0.09394312123185955, -0.12618462061016963, -0.1773428168537346, 0.36276175608285344, 0.05075575133154276, 0.2747743885332826, 0.05622092662200045, 0.13648600621336998, 0.014014805720832486, 0.055662416781370454, 0.06283410942090156, -0.1664145332563119, 0.08303981562718175, 0.1453184838375399, -0.01275044849661264, 0.2128139633367447, -0.4124842857261403, -0.1882788738092551, 0.10283497229325943, 0.12469848019267935, 0.07467622352011788, 3.9694357278326956e-05, -0.24548088132332152, 0.04763537142067575, -0.10350627077815051, -0.19923420816373366, -0.09704857484365885, 0.002993229343421542, 0.03378110740315886, -0.24644713250633615, 0.1017181703240427, 0.09513758938723746, 0.0946497728157108, -0.10945670455783749, -0.06295821702895829, -0.058536695992538273, 0.08767305500357626, 0.057069152539882526, -0.008602357923966618, 0.09532858310894181, -0.1410926898906837, -0.08711919904901431, 0.3590117056424228, -0.08400474291500779, -0.23361323926096353, 0.1509287040635872, -0.20425507582974836, -0.10933162258543934, 0.11886386294813397, 0.13310290946929643, 0.08708347721739511, -0.13427561675556576, 0.16369047387315033, -0.030483842549773935, 0.1391573934457623, 0.09336125826051173, 0.09279304923256859, 0.21297684773946038, 0.09266885871497485, 0.03732355984483057, 0.16700310283788264, -0.08272606616866632, -0.07564642069225486, -0.3215836921814256, -0.17045621258708146, -0.1944828866577994, 0.05663095913881149, -0.11341861319725957, -0.1843381467803668, 0.424300853006291, 0.11003385505878563, 0.22590752183336568, 0.007858024238465497, 0.2671063176732367, 0.17958149089155576, 0.06453279944700906, 0.08309026200395937, 0.24441022369921064, 0.17942093583517887, 0.060676650068042084, -0.280407950886561, -0.038767934089544445, 0.12960678822128102] |
707.2036 | The Optical Spectrum of the Vela Pulsar | Our knowledge of the optical spectra of Isolated Neutron Stars (INSs) is
limited by their intrinsic faintness. Among the fourteen optically identified
INSs, medium resolution spectra have been obtained only for a handful of
objects. No spectrum has been published yet for the Vela pulsar (PSR B0833-45),
the third brightest (V=23.6) INS with an optical counterpart. Optical
multi-band photometry underlines a flat continuum.In this work we present the
first optical spectroscopy observations of the Vela pulsar, performed in the
4000-11000 A spectral range.Our observations have been performed at the ESO VLT
using the FORS2 instrument. The spectrum of the Vela pulsar is characterized by
a flat power-law (alpha = -0.04 +/- 0.04), which compares well with the values
obtained from broad-band photometry. This confirms, once more, that the optical
emission of Vela is entirely of magnetospheric origin. The comparison between
the optical spectral indeces of rotation-powered INSs does not show evidence
for a spectral evolution suggesting that, as in the X-rays, the INS aging does
not affect the spectral properties of the magnetospheric emission. At the same
time, the optical spectral indeces are found to be nearly always flatter then
the X-rays ones, clearly suggesting a general spectral turnover at lower
energies.
| astro-ph | our knowledge of the optical spectra of isolated neutron stars inss is limited by their intrinsic faintness among the fourteen optically identified inss medium resolution spectra have been obtained only for a handful of objects no spectrum has been published yet for the vela pulsar psr b083345 the third brightest v236 ins with an optical counterpart optical multiband photometry underlines a flat continuumin this work we present the first optical spectroscopy observations of the vela pulsar performed in the 400011000 a spectral rangeour observations have been performed at the eso vlt using the fors2 instrument the spectrum of the vela pulsar is characterized by a flat powerlaw alpha 004 004 which compares well with the values obtained from broadband photometry this confirms once more that the optical emission of vela is entirely of magnetospheric origin the comparison between the optical spectral indeces of rotationpowered inss does not show evidence for a spectral evolution suggesting that as in the xrays the ins aging does not affect the spectral properties of the magnetospheric emission at the same time the optical spectral indeces are found to be nearly always flatter then the xrays ones clearly suggesting a general spectral turnover at lower energies | [['our', 'knowledge', 'of', 'the', 'optical', 'spectra', 'of', 'isolated', 'neutron', 'stars', 'inss', 'is', 'limited', 'by', 'their', 'intrinsic', 'faintness', 'among', 'the', 'fourteen', 'optically', 'identified', 'inss', 'medium', 'resolution', 'spectra', 'have', 'been', 'obtained', 'only', 'for', 'a', 'handful', 'of', 'objects', 'no', 'spectrum', 'has', 'been', 'published', 'yet', 'for', 'the', 'vela', 'pulsar', 'psr', 'b083345', 'the', 'third', 'brightest', 'v236', 'ins', 'with', 'an', 'optical', 'counterpart', 'optical', 'multiband', 'photometry', 'underlines', 'a', 'flat', 'continuumin', 'this', 'work', 'we', 'present', 'the', 'first', 'optical', 'spectroscopy', 'observations', 'of', 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'found', 'to', 'be', 'nearly', 'always', 'flatter', 'then', 'the', 'xrays', 'ones', 'clearly', 'suggesting', 'a', 'general', 'spectral', 'turnover', 'at', 'lower', 'energies']] | [-0.06649463520592022, 0.09185212463972323, -0.11503347713198532, 0.08817668392962054, -0.13570696055029083, -0.1011678634962181, 0.03980726396370375, 0.4746612547421638, -0.17336545008880905, -0.3267423101517904, 0.08241508004602463, -0.3120639467973034, -0.022408386326528022, 0.25431312012904306, -0.018582243325036704, -0.018561001309257225, 0.09457709934628968, -0.054495506957933613, -0.04520141305752355, -0.18163833232474458, 0.25616781932553656, 0.08970406255090838, 0.18934842923713124, -0.005821105993200778, 0.05811761917631921, -0.06537860700811915, -0.05244509144496096, -0.038783793318636565, -0.08519019113833676, 0.05568163461355986, 0.23367958103320846, 0.0620856570799797, 0.178218678837376, -0.34183686244662626, -0.26314234732868796, 0.09008804717272216, 0.17977975224078233, -0.006837885758521187, 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707.2037 | Single photon absorption by a single quantum emitter | We show that a three-level lambda quantum emitter with equal spontaneous
emission rates on both optically active transitions can absorb an incident
light field with a probability approaching unity, provided that the focused
light profile matches that of the emitter dipole emission pattern. Even with
realistic focusing geometries, our results could find applications in
long-distance entanglement of spin qubits.
| quant-ph | we show that a threelevel lambda quantum emitter with equal spontaneous emission rates on both optically active transitions can absorb an incident light field with a probability approaching unity provided that the focused light profile matches that of the emitter dipole emission pattern even with realistic focusing geometries our results could find applications in longdistance entanglement of spin qubits | [['we', 'show', 'that', 'a', 'threelevel', 'lambda', 'quantum', 'emitter', 'with', 'equal', 'spontaneous', 'emission', 'rates', 'on', 'both', 'optically', 'active', 'transitions', 'can', 'absorb', 'an', 'incident', 'light', 'field', 'with', 'a', 'probability', 'approaching', 'unity', 'provided', 'that', 'the', 'focused', 'light', 'profile', 'matches', 'that', 'of', 'the', 'emitter', 'dipole', 'emission', 'pattern', 'even', 'with', 'realistic', 'focusing', 'geometries', 'our', 'results', 'could', 'find', 'applications', 'in', 'longdistance', 'entanglement', 'of', 'spin', 'qubits']] | [-0.13244777436415522, 0.22225713321245552, -0.01586368032020785, 0.033956706871168085, -0.01045498993816012, -0.23299337419191912, 0.022937405361178314, 0.47317969173950664, -0.14072336370156982, -0.2767820254252371, -0.0028959144621108802, -0.3253824750150917, -0.071296681413206, 0.23911602321570202, 0.029316643063547247, 0.0047276636301460916, 0.03384997326115115, -0.0006832823283591513, -0.014016461982865328, -0.12923460448223908, 0.28463788673881507, 0.04406168231922123, 0.3305818605220924, 0.07161179780012976, 0.07619046256877482, -0.014001721776706182, 0.09151589396899029, -0.04243252142253569, -0.0778254129097874, 0.09370182326825147, 0.21280790909619654, 0.08846474948765362, 0.1600076031744859, -0.44040331831675467, -0.2441056149111966, 0.10584308035766422, 0.1971471276197393, 0.1811530332444078, -0.11279433950095169, -0.2890614225426531, -0.03871647489525504, -0.1253450477685211, -0.17886890559378316, -0.0047162750585920225, 0.03108784461875399, 0.029143574679175676, -0.27819617342803693, 0.002924847511290494, 0.05005249918943618, 0.02438909033218683, 0.01252681986523508, -0.04926295100585005, -0.025469051401714904, 0.06641529942468061, -0.005524462783488177, 0.019676652689606458, 0.24989162199988457, -0.1651919357541759, -0.16868993295830184, 0.3615730597432387, -0.11422667506553422, -0.11507804073014502, 0.13669596430135228, -0.22625411166099169, -0.043101943303215304, 0.21050277500713277, 0.1266982449471193, 0.1408658612803635, -0.052603214474047644, 0.025576337382702503, -0.018626853359973657, 0.2749946066888712, 0.05012267505181795, 0.12771598165223408, 0.28351748330613313, 0.1120994678556414, 0.01758104085259266, 0.18086960067641053, -0.13321323198329468, -0.0917602710709986, -0.27165356386547623, -0.08670083896683181, -0.1934934869740095, 0.12480140743003684, -0.11383185264165119, -0.1091919635201536, 0.3536065664631709, 0.12911508519052511, 0.1594954913608351, 0.021710286437833713, 0.3076000836504213, 0.1377411016156518, 0.04947612425154549, 0.08062928306507104, 0.34097791993516985, 0.13276247250831733, 0.024163655344775672, -0.28930408283436704, 0.0020077014578727343, -0.0818788881208432] |
707.2038 | Self-cooling of a movable mirror to the ground state using radiation
pressure | We show that one can cool a micro-mechanical oscillator to its quantum ground
state using radiation pressure in an appropriately detuned cavity
(self-cooling). From a simple theory based on Heisenberg-Langevin equations we
find that optimal self-cooling occurs in the good cavity regime, when the
cavity bandwidth is smaller than the mechanical frequency, but still larger
than the effective mechanical damping. In this case the intracavity field and
the vibrational mechanical mode coherently exchange their fluctuations. We also
present dynamical calculations which show how to access the mirror final
temperature from the fluctuations of the field reflected by the cavity.
| quant-ph | we show that one can cool a micromechanical oscillator to its quantum ground state using radiation pressure in an appropriately detuned cavity selfcooling from a simple theory based on heisenberglangevin equations we find that optimal selfcooling occurs in the good cavity regime when the cavity bandwidth is smaller than the mechanical frequency but still larger than the effective mechanical damping in this case the intracavity field and the vibrational mechanical mode coherently exchange their fluctuations we also present dynamical calculations which show how to access the mirror final temperature from the fluctuations of the field reflected by the cavity | [['we', 'show', 'that', 'one', 'can', 'cool', 'a', 'micromechanical', 'oscillator', 'to', 'its', 'quantum', 'ground', 'state', 'using', 'radiation', 'pressure', 'in', 'an', 'appropriately', 'detuned', 'cavity', 'selfcooling', 'from', 'a', 'simple', 'theory', 'based', 'on', 'heisenberglangevin', 'equations', 'we', 'find', 'that', 'optimal', 'selfcooling', 'occurs', 'in', 'the', 'good', 'cavity', 'regime', 'when', 'the', 'cavity', 'bandwidth', 'is', 'smaller', 'than', 'the', 'mechanical', 'frequency', 'but', 'still', 'larger', 'than', 'the', 'effective', 'mechanical', 'damping', 'in', 'this', 'case', 'the', 'intracavity', 'field', 'and', 'the', 'vibrational', 'mechanical', 'mode', 'coherently', 'exchange', 'their', 'fluctuations', 'we', 'also', 'present', 'dynamical', 'calculations', 'which', 'show', 'how', 'to', 'access', 'the', 'mirror', 'final', 'temperature', 'from', 'the', 'fluctuations', 'of', 'the', 'field', 'reflected', 'by', 'the', 'cavity']] | [-0.13974100337457854, 0.22994217359960065, -0.09505725636927768, 0.014865610358126537, -0.04403570835299865, -0.14821692443372814, 0.06731136950706555, 0.38115555493894854, -0.2581258357474298, -0.26266055168452285, 0.03185220263049364, -0.25824104859070346, -0.11521157695714271, 0.2307478616818447, -0.022642757103900717, 0.017172175393124683, 0.044622515099513524, 0.039269517970769996, 0.00264262286899141, -0.142133958468383, 0.28772477138166624, 0.08471311023341248, 0.3022879197878406, 0.0018354557605102808, 0.09665016616421818, -0.025277913477497572, 0.120066538575397, -0.004705257779645799, -0.13685548295472122, 0.06691194196158756, 0.1997609785852032, -0.005310730383063507, 0.29249361386955386, -0.45956641919158325, -0.19714048150056654, 0.06418086643650601, 0.16512106280689212, 0.21476341519067346, -0.0291121462983258, -0.25990751656383804, -0.0034861448362018123, -0.15779437802054666, -0.1300432948216871, -0.0686622028794102, -0.03362705698472006, -0.011256090468830533, -0.23866876700159276, 0.06728229418248785, 0.03360347545351786, 0.054703521750902054, -0.07012080568044136, -0.05702546677749717, -0.04317789472112752, 0.06236228187282739, -0.002491219848808315, 0.011259408371353691, 0.2396056063736629, -0.13996101985215162, -0.04982265529947148, 0.3755122197773119, -0.11559859758761543, -0.1503722427713901, 0.1530049289176899, -0.19676287015523725, -0.014207657022081842, 0.1617159220211283, 0.13239812097897885, 0.07023590551030756, -0.11975313318764551, 0.01560525369837485, 0.014566596870244754, 0.2611717634147616, 0.0723708937170379, 0.09294641949295189, 0.1977305095266513, 0.12970396405735024, 0.03251366147940809, 0.2157254196530575, -0.04692808237524158, -0.10701852976673781, -0.26440798064148185, -0.08413394893322027, -0.1944397985991067, 0.07556420803596878, -0.08979513577754125, -0.14334825949856278, 0.38308974650554417, 0.1783229555567783, 0.12327639747298125, 0.0022599606626582417, 0.3502097161430301, 0.17835603446012946, 0.05540254360507007, 0.08353448241850304, 0.37160285079682415, 0.17147594878233668, 0.08815708470935321, -0.35360350107510735, -0.06252244286558996, -0.024245048990717742] |
707.2039 | Proper actions of lamplighter groups associated with free groups | Given a finite group $H$ and a free group $F_n$, we prove that the wreath
product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert
space.
| math.GR | given a finite group h and a free group f_n we prove that the wreath product hwr f_n admits a metrically proper isometric action on a hilbert space | [['given', 'a', 'finite', 'group', 'h', 'and', 'a', 'free', 'group', 'f_n', 'we', 'prove', 'that', 'the', 'wreath', 'product', 'hwr', 'f_n', 'admits', 'a', 'metrically', 'proper', 'isometric', 'action', 'on', 'a', 'hilbert', 'space']] | [-0.2218504384426134, 0.22319710231386125, -0.1378222954891888, 0.00885656289756298, -0.16065396834164858, -0.07049209391698241, 0.03981077072343656, 0.46973821041839464, -0.3284731980945383, -0.07736093530963574, 0.1301093489829717, -0.27049145963974297, -0.06649758601296137, 0.1439895187847599, -0.16515161702409387, -0.057932518023465364, 0.1675580100023321, 0.2503261589445174, -0.12457993659024526, -0.2140656982415489, 0.38624616818768637, -0.14049662305374763, 0.24338084449326353, -0.0503816299439807, 0.2232030544962202, 0.027272436144163033, -0.030977514905056784, -0.00021196640799254446, -0.2256103261869222, 0.06053658774388688, 0.25012189489124076, 0.032876074655048014, 0.3249514866620302, -0.26204416821045534, -0.15312926923590048, 0.2960526570677757, 0.14036401311334754, -0.1348436865622976, -0.08941072428050185, -0.3152643102221191, 0.03673145880124399, -0.2541354541733329, -0.09539011732808181, -0.08183495687054736, 0.0777980836241373, -0.11497836174177271, -0.28682273666241337, -0.06359868863364682, 0.10907856451480516, 0.09130825933867268, -0.04913028356220041, -0.03923640070882227, -0.10630333253980748, 0.1311217712105385, -0.09341230053853776, 0.11489209541053112, 0.15527031246373163, 0.009977425847734724, -0.08461056406044268, 0.5077208844678742, -0.17641325770403324, -0.29660809685343076, 0.0728362202311733, -0.2250161564110645, -0.21129685187978403, 0.14569899503008596, 0.023530080781451294, 0.20122019021904894, 0.03257707596224334, 0.29430728019672514, -0.2203231538047216, 0.09962563733902893, 0.09089047089219093, -0.05870648711321077, -0.03676595201250166, 0.04952263587620109, 0.20416092568276717, 0.15136424585112504, 0.15499488019018567, 0.0743407556521041, -0.39570305177143644, -0.23354615603706666, -0.14285550748796336, 0.20130326452531985, -0.1739964013015976, -0.2573142015774335, 0.3510625700166981, -0.07129070043031659, 0.09414749963408602, 0.15851874962182982, 0.13277866977400013, 0.016058804101443717, 0.047623187103973966, 0.11566603569579977, -0.03323448436068637, 0.22859515141629214, -0.24805244921507047, -0.17143644179616654, -0.13484436360054783, 0.32697531507749644] |
707.204 | Direct photons at LHC | The DGLAP improved color dipole approach provides a good description of data
for inclusive direct photon spectra at the energies of RHIC and Tevatron.
Within the same framework we predict the transverse momentum distribution of
direct photons at the CERN LHC energies.
| hep-ph | the dglap improved color dipole approach provides a good description of data for inclusive direct photon spectra at the energies of rhic and tevatron within the same framework we predict the transverse momentum distribution of direct photons at the cern lhc energies | [['the', 'dglap', 'improved', 'color', 'dipole', 'approach', 'provides', 'a', 'good', 'description', 'of', 'data', 'for', 'inclusive', 'direct', 'photon', 'spectra', 'at', 'the', 'energies', 'of', 'rhic', 'and', 'tevatron', 'within', 'the', 'same', 'framework', 'we', 'predict', 'the', 'transverse', 'momentum', 'distribution', 'of', 'direct', 'photons', 'at', 'the', 'cern', 'lhc', 'energies']] | [0.005469105472522122, 0.1709478156020244, -0.21028788398862594, 0.17807092591898427, -0.02421355653288109, -0.0806959549829896, -0.005960303580477124, 0.3971107541805222, -0.15128188876302115, -0.31542121596811784, -0.14884053850324735, -0.33410713803910075, 0.1794345353596977, 0.1809334225420441, 0.12444432221153486, 0.13205956011300996, 0.1855771194234313, -0.03671175090684777, -0.06289261672091448, -0.1687891996643018, 0.2487724363260592, 0.14510682635452776, 0.32766803207674194, 0.20776293298140877, 0.14836035281076052, 0.12325173149639297, -0.026957923757089747, -0.06143640729022168, -0.11287601116955989, 0.09351416539755605, 0.29097574004637344, 0.06052324568320598, 0.11863559590918678, -0.39308089204132557, -0.06234651081086624, 0.08598455501764658, 0.09741145596351652, 0.15659037999631392, -0.05331887719443157, -0.24233406587016015, 0.0855750778268668, -0.25223966204516945, -0.1710188335162543, -0.043327629167054384, -0.05519236930246864, -0.03809661804033177, -0.338493254911598, 0.11376490226636331, -0.0821713155046815, 0.06614883157557674, -0.025947811403533534, -0.21827177024014027, -0.10695152459222645, 0.0037153277080506086, 0.05231633540686397, 0.08218650565305281, 0.14542110196669542, -0.2023866883301664, -0.20378814903753145, 0.34830882630887483, -0.020398848379651707, -0.0550083282536694, 0.13493918656327186, -0.26740031361225103, -0.12271819463265794, 0.2036103206143404, 0.25948104198046384, 0.08890188498688596, -0.19692715645457307, 0.0914386396193766, -0.00661306952436765, 0.13864021233859516, 0.0676061988508861, 0.10028465089964725, 0.21577831220236562, 0.22610570082352274, -0.015192492476974925, 0.027105095818461405, -0.1381115135071533, -0.05306725412429798, -0.4598470996355727, -0.09197220740662444, -0.15121578226708585, 0.005180703941732645, -0.06877962587826741, -0.02373565893088068, 0.44042574303845566, 0.08971215492957049, 0.2841753510846978, 0.04554351012311166, 0.3844147768049013, 0.1008456393610686, 0.07306165237068421, 0.049111132886970325, 0.33970744136188713, 0.12182544783822127, 0.23816405782209976, -0.2571461306264003, -0.019926824329775713, 0.06989315156603143] |
707.2041 | Localization in a quasiperiodic model on quantum graphs | We show the presence of a dense pure point spectrum on quantum graphs with
Maryland-type quasiperiodic Kirchhoff coupling constants at the vertices.
| math-ph math.MP | we show the presence of a dense pure point spectrum on quantum graphs with marylandtype quasiperiodic kirchhoff coupling constants at the vertices | [['we', 'show', 'the', 'presence', 'of', 'a', 'dense', 'pure', 'point', 'spectrum', 'on', 'quantum', 'graphs', 'with', 'marylandtype', 'quasiperiodic', 'kirchhoff', 'coupling', 'constants', 'at', 'the', 'vertices']] | [-0.21127185438360488, 0.1654652665324864, 0.02234785729974863, -0.03604448631051041, -0.03402231163567021, -0.12998837984300085, 0.06518309158716529, 0.3970497151215871, -0.27565596093024525, -0.21730406901666097, 0.07732771831520256, -0.35699517989442464, -0.1385247286941324, 0.08735551835880392, 0.01907704287164268, 0.04146681699369635, 0.13790827652528173, 0.08760562916064546, -0.014175161187137877, -0.14335695370322182, 0.3465914073444548, -0.031558155287278906, 0.22086381983189357, 0.10520845633887109, 0.047331640541198705, 0.005272808484733105, 0.07991463469252699, 0.032359122343006586, -0.16533327178053914, 0.0513126440346241, 0.17941913128431355, -0.03713283716656622, 0.15147394935290018, -0.4129257638539587, -0.23090506495819205, 0.1333903537264892, 0.03086935169994831, 0.11212894072135289, -0.01900405679008968, -0.26360077617157784, 0.09656196730654865, -0.056074997321480795, -0.18088516486542566, -0.015694713530441124, 0.021044078149965832, 0.0020111892372369766, -0.2805295332911469, 0.0727648272932995, 0.04029748127574012, 0.05144513048054207, 0.012378438730679807, -0.07858688541732374, -0.0058406733331226165, 0.10447362169534677, -0.050219570486141105, -0.024464961717880908, 0.09120840279917632, -0.15608821756073407, -0.18587971418829902, 0.398131814740953, -0.14538946268813951, -0.15841119955959065, 0.21498179417990504, -0.14380480632895515, -0.212816391361966, 0.11979905817480314, 0.14240517083644158, 0.12996929910566127, -0.0465502254221411, 0.17540079976121584, -0.04777218929181496, 0.18603391289694368, 0.1540290643682792, 0.07196496302882831, 0.22539222471061207, 0.0830511429480144, 0.09819128679200298, 0.1943540299045188, -0.03734744684992447, -0.097657698428347, -0.32734499570159686, -0.03288048270735003, -0.24233507789627073, 0.15045482416947684, -0.22129422718925135, -0.250588782264718, 0.4245407416352204, 0.04456260979973844, 0.2075003363812963, 0.04280204809315148, 0.19279770198322477, 0.14650168159000931, 0.019010052262317566, 0.16943285640861308, 0.25058986459459576, 0.1694435602320092, 0.06493250424751923, -0.2585531814644734, -0.05076502549595067, 0.1253077780960926] |
707.2042 | A distributed Approach for Access and Visibility Task under Ergonomic
Constraints with a Manikin in a Virtual Reality Environment | This paper presents a new method, based on a multi-agent system and on
digital mock-up technology, to assess an efficient path planner for a manikin
for access and visibility task under ergonomic constraints. In order to solve
this problem, the human operator is integrated in the process optimization to
contribute to a global perception of the environment. This operator cooperates,
in real-time, with several automatic local elementary agents. The result of
this work validates solutions brought by digital mock-up and that can be
applied to simulate maintenance task.
| cs.RO | this paper presents a new method based on a multiagent system and on digital mockup technology to assess an efficient path planner for a manikin for access and visibility task under ergonomic constraints in order to solve this problem the human operator is integrated in the process optimization to contribute to a global perception of the environment this operator cooperates in realtime with several automatic local elementary agents the result of this work validates solutions brought by digital mockup and that can be applied to simulate maintenance task | [['this', 'paper', 'presents', 'a', 'new', 'method', 'based', 'on', 'a', 'multiagent', 'system', 'and', 'on', 'digital', 'mockup', 'technology', 'to', 'assess', 'an', 'efficient', 'path', 'planner', 'for', 'a', 'manikin', 'for', 'access', 'and', 'visibility', 'task', 'under', 'ergonomic', 'constraints', 'in', 'order', 'to', 'solve', 'this', 'problem', 'the', 'human', 'operator', 'is', 'integrated', 'in', 'the', 'process', 'optimization', 'to', 'contribute', 'to', 'a', 'global', 'perception', 'of', 'the', 'environment', 'this', 'operator', 'cooperates', 'in', 'realtime', 'with', 'several', 'automatic', 'local', 'elementary', 'agents', 'the', 'result', 'of', 'this', 'work', 'validates', 'solutions', 'brought', 'by', 'digital', 'mockup', 'and', 'that', 'can', 'be', 'applied', 'to', 'simulate', 'maintenance', 'task']] | [-0.10082676822573623, -0.022227271371196945, -0.10368818405549973, 0.022961563577010482, -0.1368011622266336, -0.1182472629853609, 0.07108950647869444, 0.4120073435478844, -0.2847370795260014, -0.3181033768818121, 0.11985637582124169, -0.21745570545846765, -0.17128039560801964, 0.20702788724288854, -0.16374537924473936, 0.07911700384416194, 0.08822579351677136, 0.0227886782403485, 0.006553916617783464, -0.23171258210839535, 0.2811508009802889, 0.047053703339770436, 0.2982959331817586, 0.05224538278773914, 0.13379093700892886, 0.036484897435663945, -0.02817801267585971, -0.004133182784161446, -0.06642241833180212, 0.1783790945760715, 0.3066950195511295, 0.18707345077894966, 0.33902685620441014, -0.4666576156159863, -0.1547638441491224, 0.09952322108438239, 0.15324689825700427, 0.08446368021594192, -0.04258481180824509, -0.33048024121671915, 0.12521529973309953, -0.19963992698202757, -0.09168372432891787, -0.06946158914466981, -0.021829169897087428, -0.0337242908902805, -0.3155205650149252, -0.0031389912817923523, 0.03128227198877456, 0.07186628725189208, -0.07791294152742591, -0.0038081569139401176, 0.06452445228007325, 0.17751928983489051, -0.012063555776959138, 0.0818984251170398, 0.14293217258951205, -0.1391091531682336, -0.17112007142383268, 0.3919094727713276, 0.007494685648866421, -0.233000787352053, 0.1699525213890328, -0.025040463062892246, -0.12684940692799335, 0.08766418297521093, 0.2623532237643799, 0.10020753756080839, -0.2577408690492369, 0.04898739795912248, 0.005434752113863148, 0.18973290411734275, -0.006334605341015214, -0.016406376745594156, 0.16281461147355003, 0.24772401236590336, 0.14201284797904504, 0.1486525569701123, 0.010966057724462271, -0.11321395363087174, -0.21155862107910003, -0.17320818594254722, -0.14316729056868513, -0.0011349265087946233, -0.016609192814774524, -0.14496696075763216, 0.39212602137757296, 0.25207731896609237, 0.1348744562340223, 0.06603664868320762, 0.37307903898710554, 0.10878544917795807, 0.06686874194168592, 0.04300310901784211, 0.1796801664115099, 0.016198888476620512, 0.1990706049096347, -0.23970374019964683, 0.07858933822717518, 0.06893025563807566] |
707.2043 | Coulomb potential in one dimension with minimal length: A path integral
approach | We solve the path integral in momentum space for a particle in the field of
the Coulomb potential in one dimension in the framework of quantum mechanics
with the minimal length given by
$(\Delta X)_{0}=\hbar \sqrt{\beta}$, where $\beta$ is a small positive
parameter. From the spectral decomposition of the fixed energy transition
amplitude we obtain the exact energy eigenvalues and momentum space
eigenfunctions.
| quant-ph | we solve the path integral in momentum space for a particle in the field of the coulomb potential in one dimension in the framework of quantum mechanics with the minimal length given by delta x_0hbar sqrtbeta where beta is a small positive parameter from the spectral decomposition of the fixed energy transition amplitude we obtain the exact energy eigenvalues and momentum space eigenfunctions | [['we', 'solve', 'the', 'path', 'integral', 'in', 'momentum', 'space', 'for', 'a', 'particle', 'in', 'the', 'field', 'of', 'the', 'coulomb', 'potential', 'in', 'one', 'dimension', 'in', 'the', 'framework', 'of', 'quantum', 'mechanics', 'with', 'the', 'minimal', 'length', 'given', 'by', 'delta', 'x_0hbar', 'sqrtbeta', 'where', 'beta', 'is', 'a', 'small', 'positive', 'parameter', 'from', 'the', 'spectral', 'decomposition', 'of', 'the', 'fixed', 'energy', 'transition', 'amplitude', 'we', 'obtain', 'the', 'exact', 'energy', 'eigenvalues', 'and', 'momentum', 'space', 'eigenfunctions']] | [-0.13949927591508435, 0.1856893701478839, -0.07357891507807278, 0.07374181566316815, -0.02892530836059802, -0.09801453975359758, 0.025017276860683436, 0.30618192478563755, -0.2745923586490174, -0.2701811965314611, 0.027902787438623847, -0.2655114751429327, -0.09794936572847467, 0.1494998861829029, 0.0022889756928047827, 0.07428441576719765, 0.05606004329127891, 0.1185012990909238, -0.0822339148576101, -0.1421996463660992, 0.36875502753161615, 0.035705190127520194, 0.18899346844127943, 0.06189754476860886, 0.12053980582934473, 0.06070127275081411, 0.014277546523859905, 0.019057680746623045, -0.2107436691200541, 0.09007146284585038, 0.22052518254326237, 0.04692497294801738, 0.256165680385405, -0.3598214639951625, -0.19238936172557936, 0.15535061151134752, 0.13528577764443453, 0.0712484112910686, -0.020270005754765966, -0.23501129679742358, 0.0290929913565877, -0.12325135777674374, -0.19202979249248822, -0.039264238965246945, 0.055939123043865564, 0.010242281541708977, -0.2843492989458384, 0.10872861986318903, 0.016675521664681933, 0.015852641659758745, -0.09441954414210012, -0.11860269443282197, -0.005776846255626409, 0.08163506071826804, 0.04048977730300037, 0.04781761754026276, 0.06389643794165985, -0.14174454007297754, -0.07290034316810629, 0.3515295295360228, -0.05599340774689711, -0.2635307541838096, 0.07267954258338338, -0.19188904092316666, -0.07747577329827172, 0.1768310615312188, 0.12626906120849232, 0.11296808100005071, -0.07930911110053139, 0.22855479258108855, 0.0073523843630908, 0.14107541959252087, 0.06965142898561974, 0.045669673175941554, 0.15628862300957647, 0.11999537723679696, 0.10663825768466678, 0.11080164410504362, -0.12019127164967358, -0.1462889434244003, -0.3439273069943151, -0.2068194149629093, -0.262141932147525, 0.07060409927620523, -0.16806640564590775, -0.177689177014174, 0.4263942997302717, 0.08237104099844733, 0.24033223701295472, 0.03880380724947299, 0.27518246580486094, 0.20710835641910952, 0.05717585472889515, 0.0920984067638675, 0.2154230616701346, 0.13514590183565875, 0.0934512805073492, -0.27293382683062867, -0.0790322725886419, 0.13607394322752953] |
707.2044 | Dielectric relaxation and polar phonon softening in relaxor
ferroelectric PbMg_(1/3)Ta_(2/3)O_3 | Relaxor ferroelectric PbMg_1/3Ta_2/3O_3 ceramics and thin films were
investigated by means of broad-band dielectric, time-domain terahertz (THz) and
Fourier-transform infrared (IR) spectroscopy in the frequency range 100 Hz - 90
THz at temperatures 100 - 490 K, the THz and IR spectra were studied from 20 to
900K. Diffused and strongly temperature dependent peak in the complex
permittivity is caused by a dielectric relaxation due to the dynamics of polar
clusters. The relaxation appears below Burns temperature T_d in the THz range,
slows down on cooling through the microwave and MHz range and anomalously
broadens. The shortest and longest relaxation times of the distribution of
relaxation times follow Arrhenius and Vogel-Fulcher law, respectively. The
degree of B-site order has only a small influence on the parameters of the
dielectric relaxation and almost no influence on the phonon parameters. Below
T_m ~ 180K, the distribution of relaxation frequencies becomes broader than our
experimental spectral range and frequency independent dielectric losses develop
below 100 GHz in the spectra. Although the macroscopic crystal structure is
cubic, IR spectra give evidence about the lower local symmetry which can be
assigned to the presence of polar clusters below T_d. Infrared spectra above
T_d still reveal more modes than predicted by selection rules in the
paraelectric phase of the Fm-3m space group so that we suggest selection rules
which take into account chemical inhomogeneity in the beta''-perovskite
sublattice.
| cond-mat.mtrl-sci | relaxor ferroelectric pbmg_13ta_23o_3 ceramics and thin films were investigated by means of broadband dielectric timedomain terahertz thz and fouriertransform infrared ir spectroscopy in the frequency range 100 hz 90 thz at temperatures 100 490 k the thz and ir spectra were studied from 20 to 900k diffused and strongly temperature dependent peak in the complex permittivity is caused by a dielectric relaxation due to the dynamics of polar clusters the relaxation appears below burns temperature t_d in the thz range slows down on cooling through the microwave and mhz range and anomalously broadens the shortest and longest relaxation times of the distribution of relaxation times follow arrhenius and vogelfulcher law respectively the degree of bsite order has only a small influence on the parameters of the dielectric relaxation and almost no influence on the phonon parameters below t_m 180k the distribution of relaxation frequencies becomes broader than our experimental spectral range and frequency independent dielectric losses develop below 100 ghz in the spectra although the macroscopic crystal structure is cubic ir spectra give evidence about the lower local symmetry which can be assigned to the presence of polar clusters below t_d infrared spectra above t_d still reveal more modes than predicted by selection rules in the paraelectric phase of the fm3m space group so that we suggest selection rules which take into account chemical inhomogeneity in the betaperovskite sublattice | [['relaxor', 'ferroelectric', 'pbmg_13ta_23o_3', 'ceramics', 'and', 'thin', 'films', 'were', 'investigated', 'by', 'means', 'of', 'broadband', 'dielectric', 'timedomain', 'terahertz', 'thz', 'and', 'fouriertransform', 'infrared', 'ir', 'spectroscopy', 'in', 'the', 'frequency', 'range', '100', 'hz', '90', 'thz', 'at', 'temperatures', '100', '490', 'k', 'the', 'thz', 'and', 'ir', 'spectra', 'were', 'studied', 'from', '20', 'to', '900k', 'diffused', 'and', 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707.2045 | Neutrino mixings and magnetic moments due to Planck scale effects | In this paper, we consider the effect of Planck scale operators on neutrino
magnetic moments. We assume that the main part of neutrino masses and mixings
arise through GUT scale operators. We further assume that additional discrete
symmetries make the neutrino mixing bi-maximal. Quantum gravitational (Planck
scale) effects lead to an effective $SU(2)_{L}\times U(1)$ invariant
dimension-5 Lagrangian involving neutrino and Higgs fields, which gives rise to
additional terms in neutrino mass matrix. These additional terms can be
considered to be perturbation of the GUT scale bi-maximal neutrino mass matrix.
We assume that the gravitational interaction is flavour blind and we study the
neutrino mixings and magnetic moments due to the physics above the GUT scale.
| hep-ph | in this paper we consider the effect of planck scale operators on neutrino magnetic moments we assume that the main part of neutrino masses and mixings arise through gut scale operators we further assume that additional discrete symmetries make the neutrino mixing bimaximal quantum gravitational planck scale effects lead to an effective su2_ltimes u1 invariant dimension5 lagrangian involving neutrino and higgs fields which gives rise to additional terms in neutrino mass matrix these additional terms can be considered to be perturbation of the gut scale bimaximal neutrino mass matrix we assume that the gravitational interaction is flavour blind and we study the neutrino mixings and magnetic moments due to the physics above the gut scale | [['in', 'this', 'paper', 'we', 'consider', 'the', 'effect', 'of', 'planck', 'scale', 'operators', 'on', 'neutrino', 'magnetic', 'moments', 'we', 'assume', 'that', 'the', 'main', 'part', 'of', 'neutrino', 'masses', 'and', 'mixings', 'arise', 'through', 'gut', 'scale', 'operators', 'we', 'further', 'assume', 'that', 'additional', 'discrete', 'symmetries', 'make', 'the', 'neutrino', 'mixing', 'bimaximal', 'quantum', 'gravitational', 'planck', 'scale', 'effects', 'lead', 'to', 'an', 'effective', 'su2_ltimes', 'u1', 'invariant', 'dimension5', 'lagrangian', 'involving', 'neutrino', 'and', 'higgs', 'fields', 'which', 'gives', 'rise', 'to', 'additional', 'terms', 'in', 'neutrino', 'mass', 'matrix', 'these', 'additional', 'terms', 'can', 'be', 'considered', 'to', 'be', 'perturbation', 'of', 'the', 'gut', 'scale', 'bimaximal', 'neutrino', 'mass', 'matrix', 'we', 'assume', 'that', 'the', 'gravitational', 'interaction', 'is', 'flavour', 'blind', 'and', 'we', 'study', 'the', 'neutrino', 'mixings', 'and', 'magnetic', 'moments', 'due', 'to', 'the', 'physics', 'above', 'the', 'gut', 'scale']] | [-0.12875687183063153, 0.33652598399215927, 0.013595287185972152, 0.24283385074333005, -0.13023084877058863, -0.09875649652929734, -0.009795189751109675, 0.3092905764832445, -0.2528413439210018, -0.31499491094247156, 0.07104784501514033, -0.23878528388298076, -0.1055591651511824, 0.08341223722242791, 0.025613568601724895, 0.021496891222246316, -0.00923863260642342, -0.011773072166935258, -0.11057730489815383, -0.2183297947919725, 0.37300857556578904, 0.06166673007360457, 0.19068389857673776, 0.10115340719728366, 0.1029046223093958, -0.09469694393565474, -0.04745428970326548, -0.10867358737665674, -0.060344540270022624, 0.0445859198215539, 0.16357304847485427, 0.07029423620956747, 0.0760363850256671, -0.4413289105317191, -0.16836382434096026, 0.19905155576036676, 0.14616709471396777, 0.1283555641395809, -0.08280378248562793, -0.3329462202184874, 0.04643348473043221, -0.22748437443667133, -0.11927756137498047, -0.10064391651514755, -0.10342361846047898, -0.11796000409749863, -0.37599468003634523, 0.1276616057348134, -0.04790235520441733, 0.015678319100128568, -0.007008625890897668, -0.17395598612239827, 0.003407858255440774, 0.04302345572606377, 0.24185209950614397, -0.016895329326634175, 0.1617042478558648, -0.13610220152540536, -0.08678782626824534, 0.45946842678215194, -0.09990366713305854, -0.19467446212656797, 0.09304110986059126, -0.17222398737212644, -0.17937117265132457, 0.06231241886220548, 0.20544855631887912, 0.002885550286863809, -0.1787030495095836, 0.2142200392448222, -0.08315131821791115, 0.1792327657443188, 0.05993833498138448, 0.053730123785688824, 0.28811156326985876, 0.146567706004514, 0.153412544524864, -0.06021066955695658, -0.06617767758687715, -0.04790067807973727, -0.4128808332364196, -0.05449418731479217, -0.1019814849709687, 0.13260541337177806, -0.0955862148497861, -0.1383303248606946, 0.4295889017941511, 0.21301260498635796, 0.21004014595857132, 0.031124856356409904, 0.24180687384113023, 0.09271082432090265, 0.14061728280199612, 0.0070228679834500604, 0.28848500165116525, 0.16142840727191904, 0.10823763352616325, -0.2905844166490209, -0.06630583955784855, 0.15359341004944366] |
707.2046 | Evading 1/m_b-suppressed IR divergencies in QCDF: Bs-->KK Decays and
B_{d,s} mixing | We analyze the deviations of the mixing induced CP asymmetry in B-->phi Ks
from sin(2beta), as well as the deviations of the asymmetries in Bs-->K*K*,
Bs-->phi K* and Bs-->phi phi from sin(2beta_s), that arise in SM due to penguin
pollution. We use a theoretical input which is short-distance dominated in
QCD-factorization and thus free of IR-divergencies. We also provide alternative
ways to extract angles of the unitarity triangle from penguin-mediated decays,
and give predictions for Bs-->K*K* observables.
| hep-ph | we analyze the deviations of the mixing induced cp asymmetry in bphi ks from sin2beta as well as the deviations of the asymmetries in bskk bsphi k and bsphi phi from sin2beta_s that arise in sm due to penguin pollution we use a theoretical input which is shortdistance dominated in qcdfactorization and thus free of irdivergencies we also provide alternative ways to extract angles of the unitarity triangle from penguinmediated decays and give predictions for bskk observables | [['we', 'analyze', 'the', 'deviations', 'of', 'the', 'mixing', 'induced', 'cp', 'asymmetry', 'in', 'bphi', 'ks', 'from', 'sin2beta', 'as', 'well', 'as', 'the', 'deviations', 'of', 'the', 'asymmetries', 'in', 'bskk', 'bsphi', 'k', 'and', 'bsphi', 'phi', 'from', 'sin2beta_s', 'that', 'arise', 'in', 'sm', 'due', 'to', 'penguin', 'pollution', 'we', 'use', 'a', 'theoretical', 'input', 'which', 'is', 'shortdistance', 'dominated', 'in', 'qcdfactorization', 'and', 'thus', 'free', 'of', 'irdivergencies', 'we', 'also', 'provide', 'alternative', 'ways', 'to', 'extract', 'angles', 'of', 'the', 'unitarity', 'triangle', 'from', 'penguinmediated', 'decays', 'and', 'give', 'predictions', 'for', 'bskk', 'observables']] | [-0.056808716524392365, 0.1830176230147481, -0.10724852024887999, 0.13106210238145044, -0.06165298812091351, -0.12799383724108337, 0.10896201033921292, 0.27054499338070553, -0.2931019154191017, -0.26002205128471056, 0.019308596240977447, -0.3295184166294833, -0.07633584541579087, 0.16411192611480752, 0.013353850822895766, 0.027594260380913813, 0.028758605966965358, -0.021798651370142277, -0.07915740787362059, -0.11875803764288624, 0.25337381242153545, -0.010492107175911466, 0.15610371549924215, 0.09335089462498823, -0.01103060708536456, -0.0095669019035995, -0.06621960793932279, 0.0040766667574644085, -0.16215870144670286, 0.06741103424380222, 0.20370814902087053, 0.13710052796717112, 0.05574259669830402, -0.36509923932453, -0.08800717196737727, 0.14306721889724333, 0.12211048485711216, 0.0978753247189646, -0.04587193865949909, -0.31100702106952666, 0.07448109082256754, -0.1484365691213558, -0.08359716814942658, -0.105056134906287, 0.016415141724670925, -0.07267236271252235, -0.36062150198966264, 0.13944836907981273, -0.013847573931949833, 0.04746946359053254, 0.05959830752263467, -0.19836184527724982, -0.01072100327971081, 0.1105951495297874, 0.14329017313507697, 0.0335555984886984, 0.1127013306071361, -0.15520945784325402, -0.11840804183234771, 0.44522214551766714, -0.11286638149681191, -0.1443685262153546, 0.11835884943604469, -0.17332046901186307, -0.1392729719276152, 0.09489234650197129, 0.18524913099904855, 0.04574432744178921, -0.1326618330180645, 0.14339603340641285, -0.028250364155198136, 0.11441637177020311, 0.10440900241335233, 0.08829451650381089, 0.17569947405407826, 0.09705583127836387, 0.040162537725797545, 0.11202343471348286, -0.10112256617595752, -0.07805370287038386, -0.39643326175709565, -0.10349010782937208, -0.06748349209626515, 0.10350886444250743, -0.06603007778467145, -0.11970307982274486, 0.35752880841493606, 0.14941858857870102, 0.26262960535784563, 0.03373023372298727, 0.2968614751410981, 0.05999477197416127, 0.07220877196639776, 0.02839795498798291, 0.30166032252212366, 0.1757058499464377, 0.09961847548683485, -0.24673972960251073, 0.06645168544103702, 0.013058198442061741] |
707.2047 | Structural plasticity of single chromatin fibers revealed by torsional
manipulation | Magnetic tweezers are used to study the mechanical response under torsion of
single nucleosome arrays reconstituted on tandem repeats of 5S positioning
sequences. Regular arrays are extremely resilient and can reversibly
accommodate a large amount of supercoiling without much change in length. This
behavior is quantitatively described by a molecular model of the chromatin 3-D
architecture. In this model, we assume the existence of a dynamic equilibrium
between three conformations of the nucleosome, which are determined by the
crossing status of the entry/exit DNAs (positive, null or negative). Torsional
strain, in displacing that equilibrium, extensively reorganizes the fiber
architecture. The model explains a number of long-standing topological
questions regarding DNA in chromatin, and may provide the ground to better
understand the dynamic binding of most chromatin-associated proteins.
| q-bio.BM physics.bio-ph q-bio.SC | magnetic tweezers are used to study the mechanical response under torsion of single nucleosome arrays reconstituted on tandem repeats of 5s positioning sequences regular arrays are extremely resilient and can reversibly accommodate a large amount of supercoiling without much change in length this behavior is quantitatively described by a molecular model of the chromatin 3d architecture in this model we assume the existence of a dynamic equilibrium between three conformations of the nucleosome which are determined by the crossing status of the entryexit dnas positive null or negative torsional strain in displacing that equilibrium extensively reorganizes the fiber architecture the model explains a number of longstanding topological questions regarding dna in chromatin and may provide the ground to better understand the dynamic binding of most chromatinassociated proteins | [['magnetic', 'tweezers', 'are', 'used', 'to', 'study', 'the', 'mechanical', 'response', 'under', 'torsion', 'of', 'single', 'nucleosome', 'arrays', 'reconstituted', 'on', 'tandem', 'repeats', 'of', '5s', 'positioning', 'sequences', 'regular', 'arrays', 'are', 'extremely', 'resilient', 'and', 'can', 'reversibly', 'accommodate', 'a', 'large', 'amount', 'of', 'supercoiling', 'without', 'much', 'change', 'in', 'length', 'this', 'behavior', 'is', 'quantitatively', 'described', 'by', 'a', 'molecular', 'model', 'of', 'the', 'chromatin', '3d', 'architecture', 'in', 'this', 'model', 'we', 'assume', 'the', 'existence', 'of', 'a', 'dynamic', 'equilibrium', 'between', 'three', 'conformations', 'of', 'the', 'nucleosome', 'which', 'are', 'determined', 'by', 'the', 'crossing', 'status', 'of', 'the', 'entryexit', 'dnas', 'positive', 'null', 'or', 'negative', 'torsional', 'strain', 'in', 'displacing', 'that', 'equilibrium', 'extensively', 'reorganizes', 'the', 'fiber', 'architecture', 'the', 'model', 'explains', 'a', 'number', 'of', 'longstanding', 'topological', 'questions', 'regarding', 'dna', 'in', 'chromatin', 'and', 'may', 'provide', 'the', 'ground', 'to', 'better', 'understand', 'the', 'dynamic', 'binding', 'of', 'most', 'chromatinassociated', 'proteins']] | [-0.17996418720301915, 0.17428898115048375, -0.028448967923094908, 0.06895934196608874, -0.020901427230262382, -0.1787811094037015, 0.029944940767155624, 0.3940876614830391, -0.28724054010735284, -0.29098554231995516, 0.011636611620536235, -0.23442014706445727, -0.190523124770188, 0.15670866671744293, -0.0633001791562621, 0.02295505000997012, 0.07551830868038722, 0.0432948620614548, 0.026581729279636722, -0.16424718556566326, 0.22592148026378137, 0.08949676399874523, 0.298056219433119, 0.03902355497327127, 0.06266289118193383, -0.023069562238424983, 0.0537345636009026, 0.03931855183006741, -0.16916514672738853, 0.18843559831138848, 0.23067898184838376, 0.08232368832439418, 0.24458699847945548, -0.49790443713212107, -0.2232639764428256, 0.1034522219506041, 0.14555786745201094, 0.1499603306388805, -0.00866768190244902, -0.2596977885196528, 0.09756173809447627, -0.11972461533402716, -0.13374101831101057, -0.07095737546117697, -0.006757086663558258, 0.0885375891555482, -0.1858571290265857, 0.07210554308477994, 0.028104982617509176, 0.08661891570622761, -0.10023214149758161, -0.06827807618217088, -0.049277450398021325, 0.15532718711591317, 0.05148556723175057, 0.014101623089096736, 0.21405610836690336, -0.11963556571240265, -0.12288560791630444, 0.35721600089427524, -0.0009967026678390624, -0.20698575260861057, 0.16443187376762938, -0.1380138940665519, -0.1251002548035146, 0.1554763161276621, 0.12436639320647974, 0.07623362043637812, -0.1575662397713525, 0.027201378060833416, -0.01847975994790281, 0.22260051487585691, 0.12286994110162217, 0.0033259391161341834, 0.2648826413751235, 0.22976166342099116, 0.019668673366806874, 0.16541665759832253, -0.08981687662294355, -0.10665402125464532, -0.2129938776538832, -0.13335208934328452, -0.15656809189345863, 0.057767394174799674, -0.05993990345989119, -0.20576771677244365, 0.40151797337310874, 0.08357718554609565, 0.20198226665828642, 0.0396397384039427, 0.23999065901776115, -0.03673735227963821, 0.08571714737478232, -0.0252407291458597, 0.20408354235783688, 0.09684149105208156, 0.07540808310438915, -0.29072473269674604, 0.11843762038950259, 0.029630909490080067] |
707.2048 | Generalised Fourier transform for the Camassa-Holm hierarchy | The squared eigenfunctions of the spectral problem associated to the
Camassa-Holm equation represent a complete basis of functions, which helps to
describe the Inverse Scattering Transform for the Camassa-Holm hierarchy as a
Generalised Fourier transform. The main result of this work is the derivation
of the completeness relation for the squared solutions of the Camassa-Holm
spectral problem. We show that all the fundamental properties of the
Camassa-Holm equation such as the integrals of motion, the description of the
equations of the whole hierarchy and their Hamiltonian structures can be
naturally expressed making use of the completeness relation and the recursion
operator, whose eigenfunctions are the squared solutions.
| nlin.SI | the squared eigenfunctions of the spectral problem associated to the camassaholm equation represent a complete basis of functions which helps to describe the inverse scattering transform for the camassaholm hierarchy as a generalised fourier transform the main result of this work is the derivation of the completeness relation for the squared solutions of the camassaholm spectral problem we show that all the fundamental properties of the camassaholm equation such as the integrals of motion the description of the equations of the whole hierarchy and their hamiltonian structures can be naturally expressed making use of the completeness relation and the recursion operator whose eigenfunctions are the squared solutions | [['the', 'squared', 'eigenfunctions', 'of', 'the', 'spectral', 'problem', 'associated', 'to', 'the', 'camassaholm', 'equation', 'represent', 'a', 'complete', 'basis', 'of', 'functions', 'which', 'helps', 'to', 'describe', 'the', 'inverse', 'scattering', 'transform', 'for', 'the', 'camassaholm', 'hierarchy', 'as', 'a', 'generalised', 'fourier', 'transform', 'the', 'main', 'result', 'of', 'this', 'work', 'is', 'the', 'derivation', 'of', 'the', 'completeness', 'relation', 'for', 'the', 'squared', 'solutions', 'of', 'the', 'camassaholm', 'spectral', 'problem', 'we', 'show', 'that', 'all', 'the', 'fundamental', 'properties', 'of', 'the', 'camassaholm', 'equation', 'such', 'as', 'the', 'integrals', 'of', 'motion', 'the', 'description', 'of', 'the', 'equations', 'of', 'the', 'whole', 'hierarchy', 'and', 'their', 'hamiltonian', 'structures', 'can', 'be', 'naturally', 'expressed', 'making', 'use', 'of', 'the', 'completeness', 'relation', 'and', 'the', 'recursion', 'operator', 'whose', 'eigenfunctions', 'are', 'the', 'squared', 'solutions']] | [-0.12481492586003042, 0.036604620725194985, -0.10210116813612109, 0.13859583929215916, -0.12081414210026926, -0.031655770047593894, -0.035369607741796524, 0.26391471188872284, -0.3597897718721461, -0.26185861494496604, 0.12434092642756824, -0.28951592633726997, -0.17850088912593287, 0.1642429232075114, -0.0058250829325031455, 0.10994769684169615, 0.08524612160660675, 0.03615880056467151, -0.12559589794314702, -0.18366831130234995, 0.36839089462551, 0.0016301569058864472, 0.2461882900342206, 0.030731539842542087, 0.12979456032060574, 0.0031422280584609955, -0.024906344137319895, -0.07082152965469896, -0.13277951465022292, 0.1468591183591547, 0.21687953478752453, 0.14421196356763907, 0.2126828509809397, -0.3594780765021237, -0.16848137039064526, 0.09867846782136465, 0.1911179344082756, 0.06434013494660329, 0.04860336502369876, -0.28625368605863966, 0.018730035943858254, -0.12662906229287108, -0.22603088475450456, -0.07134555031275638, 0.011519980525476075, 0.10137613468464012, -0.20968941233129562, 0.13867142637669344, 0.1357789123256769, -0.026167853187038518, -0.14874257407560249, -0.1011854265598911, -0.044252048886302756, 0.07938093252514845, 0.038205306668043414, -0.03167721911585916, 0.00043920750477325135, -0.1444894229170701, -0.06927470113455414, 0.43241563475055395, -0.06611845585643793, -0.29475679269460875, 0.11221009037657598, -0.11937061388254444, -0.08600578589852308, 0.09882344130130712, 0.1378898638448565, 0.135335578047888, -0.1813346895206476, 0.1344593652365207, -0.07067933530659876, 0.13665303034777534, 0.09811409905979357, 0.06233274807422378, 0.13705033278876097, 0.1208673060314608, 0.07170724726464843, 0.1423520069105864, -0.01860173076236725, -0.11692764272338876, -0.35982525921383196, -0.21317503287100067, -0.16954245056987471, 0.05367970815642136, -0.12677831858996014, -0.21992934805071243, 0.44417711420454714, 0.11608150448632713, 0.18283840394187195, 0.11424931692433865, 0.23084979212764545, 0.27851452135968363, 0.07007111151371952, 0.023596086600255743, 0.19083155776922392, 0.21137596461399694, 0.10755939604540433, -0.2731776654537523, -0.024686390742938095, 0.18091001411221017] |
707.2049 | Bridging the gap between stellar-mass black holes and ultraluminous
X-ray sources | The X-ray spectral and timing properties of ultraluminous X-ray sources
(ULXs) have many similarities with the very high state of stellar-mass black
holes (power-law dominated, at accretion rates greater than the Eddington
rate). On the other hand, their cool disk components, large characteristic
inner-disk radii and low characteristic timescales have been interpreted as
evidence of black hole masses ~ 1000 Msun (intermediate-mass black holes). Here
we re-examine the physical interpretation of the cool disk model, in the
context of accretion states of stellar-mass black holes. In particular, XTE
J1550-564 can be considered the missing link between ULXs and stellar-mass
black holes, because it exhibits a high-accretion-rate, low-disk-temperature
state (ultraluminous branch). On the ultraluminous branch, the accretion rate
is positively correlated with the disk truncation radius and the bolometric
disk luminosity, while it is anti-correlated with the peak temperature and the
frequency of quasi-periodic-oscillations. Two prototypical ULXs (NGC1313 X-1
and X-2) also seem to move along that branch. We use a phenomenological model
to show how the different range of spectral and timing parameters found in the
two classes of accreting black holes depends on both their masses and accretion
rates. We suggest that ULXs are consistent with black hole masses ~ 50-100
Msun, moderately inefficiently accreting at ~20 times Eddington.
| astro-ph | the xray spectral and timing properties of ultraluminous xray sources ulxs have many similarities with the very high state of stellarmass black holes powerlaw dominated at accretion rates greater than the eddington rate on the other hand their cool disk components large characteristic innerdisk radii and low characteristic timescales have been interpreted as evidence of black hole masses 1000 msun intermediatemass black holes here we reexamine the physical interpretation of the cool disk model in the context of accretion states of stellarmass black holes in particular xte j1550564 can be considered the missing link between ulxs and stellarmass black holes because it exhibits a highaccretionrate lowdisktemperature state ultraluminous branch on the ultraluminous branch the accretion rate is positively correlated with the disk truncation radius and the bolometric disk luminosity while it is anticorrelated with the peak temperature and the frequency of quasiperiodicoscillations two prototypical ulxs ngc1313 x1 and x2 also seem to move along that branch we use a phenomenological model to show how the different range of spectral and timing parameters found in the two classes of accreting black holes depends on both their masses and accretion rates we suggest that ulxs are consistent with black hole masses 50100 msun moderately inefficiently accreting at 20 times eddington | [['the', 'xray', 'spectral', 'and', 'timing', 'properties', 'of', 'ultraluminous', 'xray', 'sources', 'ulxs', 'have', 'many', 'similarities', 'with', 'the', 'very', 'high', 'state', 'of', 'stellarmass', 'black', 'holes', 'powerlaw', 'dominated', 'at', 'accretion', 'rates', 'greater', 'than', 'the', 'eddington', 'rate', 'on', 'the', 'other', 'hand', 'their', 'cool', 'disk', 'components', 'large', 'characteristic', 'innerdisk', 'radii', 'and', 'low', 'characteristic', 'timescales', 'have', 'been', 'interpreted', 'as', 'evidence', 'of', 'black', 'hole', 'masses', 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707.205 | A GIT Construction of Moduli Spaces of Stable Maps in Positive
Characteristic | In a previous paper, the author and David Swinarski constructed the moduli
spaces of stable maps, \bar M_g,n(P^r,d), via geometric invariant theory (GIT).
That paper required the base field to be the complex numbers, a restriction
which this paper removes: here the coarse moduli spaces of stable maps are
constructed via GIT over a more general base.
| math.AG | in a previous paper the author and david swinarski constructed the moduli spaces of stable maps bar m_gnprd via geometric invariant theory git that paper required the base field to be the complex numbers a restriction which this paper removes here the coarse moduli spaces of stable maps are constructed via git over a more general base | [['in', 'a', 'previous', 'paper', 'the', 'author', 'and', 'david', 'swinarski', 'constructed', 'the', 'moduli', 'spaces', 'of', 'stable', 'maps', 'bar', 'm_gnprd', 'via', 'geometric', 'invariant', 'theory', 'git', 'that', 'paper', 'required', 'the', 'base', 'field', 'to', 'be', 'the', 'complex', 'numbers', 'a', 'restriction', 'which', 'this', 'paper', 'removes', 'here', 'the', 'coarse', 'moduli', 'spaces', 'of', 'stable', 'maps', 'are', 'constructed', 'via', 'git', 'over', 'a', 'more', 'general', 'base']] | [-0.15602786266702293, 0.11934229425553765, -0.1475043045689485, 0.08162946735267594, -0.09504397270003599, -0.05853310244856402, 0.03462733152472148, 0.2919146749523601, -0.36069522398923126, -0.19150966738483735, 0.12257266306966942, -0.15123939593987806, -0.22079101164958306, 0.1870007156394422, -0.182125100075999, 0.009150266364615942, 0.04555740054430706, -0.011600579367950559, -0.09929154431613695, -0.31641443391812835, 0.5038449247783449, 0.03581718395331076, 0.24705136021033727, -0.016243499714099534, 0.10407564629401479, 0.0020869135124874966, -0.06356685177888721, 0.033886152652225325, -0.1620510123951005, 0.22919375126782274, 0.293648938349049, 0.06515741704164871, 0.18575947232810514, -0.36571631394326687, -0.1967108700191602, 0.18591956899035722, 0.09856864804169163, 0.07244744727878631, 0.00936479583236048, -0.2762312477321497, 0.13760534318862483, -0.1536101056928081, -0.12433307280298322, -0.1159571456456823, 0.026092674443914023, 0.0030261124900010017, -0.24127879313060216, -0.07665300221248929, 0.05514714357975338, 0.1365714658833375, -0.07878630374658055, -0.05458197278494481, -0.11130659007799945, 0.08154884658454518, 0.016934953330616866, 0.13382478333577247, 0.10758689522377349, -0.05722604809644898, -0.07317755938441094, 0.35786010258431944, -0.07332829617163432, -0.22837447872318858, 0.1453195368937616, -0.07163824407117707, -0.15355857231354872, 0.14398277131840587, 0.11803646919517112, 0.20174183949295962, -0.05637285011887018, 0.1691094023397974, -0.12157646207404989, 0.12948025796296342, 0.1734895253736925, -0.0061061979286023416, 0.14001168549137738, 0.10323361362264093, 0.08884925355336495, 0.11139222240931954, -0.011131597765987473, -0.10543777742714155, -0.34049971381734523, -0.18317026758034313, -0.09298111194844491, 0.07501287522193577, -0.06767417107117321, -0.15877337364612945, 0.3941179751085916, 0.06452966288530401, 0.22604881319473083, 0.09854582963868909, 0.2907103103186403, 0.006482236952121768, 0.017258980743853108, 0.03178523391086076, 0.16861861096861372, 0.17424401411387538, 0.07461607110911116, -0.07818247057106678, -0.04311530050888125, 0.17427468830386975] |
707.2051 | Quantum Auctions using Adiabatic Evolution: The Corrupt Auctioneer and
Circuit Implementations | We examine a proposed auction using quantum states to represent bids and
distributed adiabatic search to find the winner. When the auctioneer follows
the protocol, the final measurement giving the outcome of the auction also
destroys the bid states, thereby preserving privacy of losing bidders. We
describe how a dishonest auctioneer could alter the protocol to violate this
privacy guarantee, and present methods by which bidders can counter such
attacks. We also suggest possible quantum circuit implementations of the
auctions protocol, and quantum circuits to perpetrate and to counter attacks by
a dishonest auctioneer.
| quant-ph | we examine a proposed auction using quantum states to represent bids and distributed adiabatic search to find the winner when the auctioneer follows the protocol the final measurement giving the outcome of the auction also destroys the bid states thereby preserving privacy of losing bidders we describe how a dishonest auctioneer could alter the protocol to violate this privacy guarantee and present methods by which bidders can counter such attacks we also suggest possible quantum circuit implementations of the auctions protocol and quantum circuits to perpetrate and to counter attacks by a dishonest auctioneer | [['we', 'examine', 'a', 'proposed', 'auction', 'using', 'quantum', 'states', 'to', 'represent', 'bids', 'and', 'distributed', 'adiabatic', 'search', 'to', 'find', 'the', 'winner', 'when', 'the', 'auctioneer', 'follows', 'the', 'protocol', 'the', 'final', 'measurement', 'giving', 'the', 'outcome', 'of', 'the', 'auction', 'also', 'destroys', 'the', 'bid', 'states', 'thereby', 'preserving', 'privacy', 'of', 'losing', 'bidders', 'we', 'describe', 'how', 'a', 'dishonest', 'auctioneer', 'could', 'alter', 'the', 'protocol', 'to', 'violate', 'this', 'privacy', 'guarantee', 'and', 'present', 'methods', 'by', 'which', 'bidders', 'can', 'counter', 'such', 'attacks', 'we', 'also', 'suggest', 'possible', 'quantum', 'circuit', 'implementations', 'of', 'the', 'auctions', 'protocol', 'and', 'quantum', 'circuits', 'to', 'perpetrate', 'and', 'to', 'counter', 'attacks', 'by', 'a', 'dishonest', 'auctioneer']] | [-0.16059626494237084, 0.04222672216673481, -0.10073175861876696, 0.09941499916455174, -0.09468013274067259, -0.3108022105236082, 0.24548163504755877, 0.36600938359116936, -0.29330784086375794, -0.3255400982824095, 0.03655429636722708, -0.297966446450099, -0.10425466939588969, 0.11794252742943849, -0.18041726834378502, 0.0943794300125793, 0.017840407807330424, 0.0007101032446990621, 0.07771060207519344, -0.3640868797492077, 0.31386410711615526, 0.08813511620974168, 0.27216686998949724, 0.047721210391597546, 0.0822564550635821, 0.02370278901380903, 0.04482028294017816, -0.04068120646580281, -0.11600409615091345, 0.05133429677299957, 0.31125032138624326, 0.22424323243544775, 0.300885210289283, -0.44719218113459647, -0.0690177121655421, 0.13943006214438045, 0.0707162501528225, 0.1586261916387965, -0.05319962076882415, -0.2990467195953936, 0.08277726345485018, -0.26045516076277286, -0.04345729945108612, -0.14234594444922627, -0.0881530855970576, -0.018707556184381247, -0.3047273908580772, -0.03366795092625444, 0.07080395544626493, -0.03226557330902111, -0.012904131004804784, -0.026088621259290488, -0.015371449722690469, 0.15320214084900688, 0.03209038671264623, -0.0856570012513251, 0.2143660411114824, -0.15033129118927854, -0.2937625415643003, 0.3952281290784161, 0.01114811931558429, -0.13837225238812415, 0.0626016242969583, -0.05246684909550513, -0.1098892775592097, 0.05303563324219369, 0.18042674482344312, 0.06382134968930102, -0.10370048988400588, 0.020482330228836138, -0.08481331163908336, 0.21315282622867443, 0.0698822606478798, 0.08768011061623296, 0.13716198035337507, 0.07625062228118545, 0.17165089961379132, 0.14766805767616692, 0.024836354175622157, -0.1587072094670804, -0.25916995611933474, -0.19075974070050933, -0.1739236819037692, 0.1167044221656397, -0.03528386321936813, -0.12911860476386675, 0.3889538741650734, 0.20925962102123874, 0.13499338237802186, 0.059233092416840744, 0.38955365813911913, 0.058049314962501854, 0.043618057180750874, 0.16156795040327818, 0.24979538092033027, 0.012492539767334436, 0.11810093421607892, -0.21464434256182707, 0.23662985393163213, -0.029900511756460083] |
707.2052 | The Mukai pairing, I: a categorical approach | We study the Hochschild homology of smooth spaces, emphasizing the importance
of a pairing which generalizes Mukai's pairing on the cohomology of K3
surfaces. We show that integral transforms between derived categories of spaces
induce, functorially, linear maps on homology. Adjoint functors induce adjoint
linear maps with respect to the Mukai pairing. We define a Chern character with
values in Hochschild homology, and we discuss analogues of the
Hirzebruch-Riemann-Roch theorem and the Cardy Condition from physics. This is
done in the context of a 2-category which has spaces as its objects and
integral kernels as its 1-morphisms.
| math.AG math.AT math.CT math.KT | we study the hochschild homology of smooth spaces emphasizing the importance of a pairing which generalizes mukais pairing on the cohomology of k3 surfaces we show that integral transforms between derived categories of spaces induce functorially linear maps on homology adjoint functors induce adjoint linear maps with respect to the mukai pairing we define a chern character with values in hochschild homology and we discuss analogues of the hirzebruchriemannroch theorem and the cardy condition from physics this is done in the context of a 2category which has spaces as its objects and integral kernels as its 1morphisms | [['we', 'study', 'the', 'hochschild', 'homology', 'of', 'smooth', 'spaces', 'emphasizing', 'the', 'importance', 'of', 'a', 'pairing', 'which', 'generalizes', 'mukais', 'pairing', 'on', 'the', 'cohomology', 'of', 'k3', 'surfaces', 'we', 'show', 'that', 'integral', 'transforms', 'between', 'derived', 'categories', 'of', 'spaces', 'induce', 'functorially', 'linear', 'maps', 'on', 'homology', 'adjoint', 'functors', 'induce', 'adjoint', 'linear', 'maps', 'with', 'respect', 'to', 'the', 'mukai', 'pairing', 'we', 'define', 'a', 'chern', 'character', 'with', 'values', 'in', 'hochschild', 'homology', 'and', 'we', 'discuss', 'analogues', 'of', 'the', 'hirzebruchriemannroch', 'theorem', 'and', 'the', 'cardy', 'condition', 'from', 'physics', 'this', 'is', 'done', 'in', 'the', 'context', 'of', 'a', '2category', 'which', 'has', 'spaces', 'as', 'its', 'objects', 'and', 'integral', 'kernels', 'as', 'its', '1morphisms']] | [-0.19993473072272255, 0.04429758422691183, -0.14581773372501441, 0.15184560554946974, -0.09172779024031359, -0.11932953377494339, -0.02605091651767185, 0.3524194659338784, -0.38214578221734496, -0.1811286273500018, 0.07510713858232286, -0.20606372650405488, -0.19502428242187833, 0.1812018376334628, -0.18771642468600852, -0.0502375961188647, 0.04434780069127602, 0.06632105443511427, -0.1612611337848123, -0.2620575305424899, 0.48339673369815667, -0.03746084482757106, 0.2161717972353331, 0.06603733610515435, 0.11731842253357172, 0.016193381755507177, -0.016221761031402757, -0.04971490170057748, -0.16798990050166637, 0.16690867825005606, 0.334708123957527, -0.0337151774954166, 0.13948561490234948, -0.36415985677890556, -0.12797518895420523, 0.17042431344767822, 0.04305442801878317, 0.011976195156055781, 0.012928119265311157, -0.33860963936319055, 0.08145253922905504, -0.21662075139735779, -0.09234226060090299, -0.13989819815267146, 0.04268708979691734, 0.037048028467568696, -0.21507497890324323, -0.018920842032476338, 0.11036516203708255, 0.14507987761159533, -0.1440115946647471, -0.0810347453969502, -0.12242557393559783, 0.09687847699777982, 0.018586649600243598, 0.04630403043270188, 0.11957223337268476, -0.1342696582816887, -0.15406500326335124, 0.37676847503357325, -0.07935312719830821, -0.22330333814793027, 0.12505936905616874, -0.13239550121013344, -0.18271748150804454, 0.09611656656488776, 0.012754043996257266, 0.1512927888345319, 0.049524478105463315, 0.20648417246261536, -0.1012527008166479, 0.05958896616147351, 0.09334019252780787, 0.04497954999720774, 0.16818516369256162, 0.08209331073442992, 0.07421987959827037, 0.1777951598993128, -0.03728719349691318, -0.08214606041839999, -0.3392537830915955, -0.252038356953675, -0.12471047911754589, 0.09980453392844792, -0.07917603128304652, -0.17827970914773106, 0.39861877469019485, 0.10073947609094999, 0.20620558487693058, 0.16595698524621727, 0.21789889044089952, 0.05889408443766387, 0.08887745255661994, -0.023524625366073602, 0.11749623230533655, 0.30032006132694866, 0.03831780572258627, -0.13571419126651796, -0.0361052764262812, 0.3110473696910536] |
707.2053 | Variable X-ray Absorption toward Gravitationally-Lensed Blazar
PKS1830-211 | We present X-ray spectral analysis of five Chandra and XMM-Newton
observations of the gravitationally-lensed blazar PKS1830-211 from 2000 to
2004. We show that the X-ray absorption toward PKS1830-211 is variable, and the
variable absorption is most likely to be intrinsic with amplitudes of about
2-30e22 cm^-2 depending on whether or not the absorber is partially covering
the X-ray source. Our results confirm the variable absorption observed
previously, although interpreted differently, in a sequence of ASCA
observations. This large variation in the absorption column density can be
interpreted as outflows from the central engine in the polar direction,
consistent with recent numerical models of inflow/outflows in AGNs. In
addition, it could possibly be caused by the interaction between the blazar jet
and its environment, or the variation from the geometric configuration of the
jet. While the spectra can also be fitted with a variable absorption at the
lens redshift, we show that this model is unlikely. We also rule out the simple
microlensing interpretation of variability which was previously suggested.
| astro-ph | we present xray spectral analysis of five chandra and xmmnewton observations of the gravitationallylensed blazar pks1830211 from 2000 to 2004 we show that the xray absorption toward pks1830211 is variable and the variable absorption is most likely to be intrinsic with amplitudes of about 230e22 cm2 depending on whether or not the absorber is partially covering the xray source our results confirm the variable absorption observed previously although interpreted differently in a sequence of asca observations this large variation in the absorption column density can be interpreted as outflows from the central engine in the polar direction consistent with recent numerical models of inflowoutflows in agns in addition it could possibly be caused by the interaction between the blazar jet and its environment or the variation from the geometric configuration of the jet while the spectra can also be fitted with a variable absorption at the lens redshift we show that this model is unlikely we also rule out the simple microlensing interpretation of variability which was previously suggested | [['we', 'present', 'xray', 'spectral', 'analysis', 'of', 'five', 'chandra', 'and', 'xmmnewton', 'observations', 'of', 'the', 'gravitationallylensed', 'blazar', 'pks1830211', 'from', '2000', 'to', '2004', 'we', 'show', 'that', 'the', 'xray', 'absorption', 'toward', 'pks1830211', 'is', 'variable', 'and', 'the', 'variable', 'absorption', 'is', 'most', 'likely', 'to', 'be', 'intrinsic', 'with', 'amplitudes', 'of', 'about', '230e22', 'cm2', 'depending', 'on', 'whether', 'or', 'not', 'the', 'absorber', 'is', 'partially', 'covering', 'the', 'xray', 'source', 'our', 'results', 'confirm', 'the', 'variable', 'absorption', 'observed', 'previously', 'although', 'interpreted', 'differently', 'in', 'a', 'sequence', 'of', 'asca', 'observations', 'this', 'large', 'variation', 'in', 'the', 'absorption', 'column', 'density', 'can', 'be', 'interpreted', 'as', 'outflows', 'from', 'the', 'central', 'engine', 'in', 'the', 'polar', 'direction', 'consistent', 'with', 'recent', 'numerical', 'models', 'of', 'inflowoutflows', 'in', 'agns', 'in', 'addition', 'it', 'could', 'possibly', 'be', 'caused', 'by', 'the', 'interaction', 'between', 'the', 'blazar', 'jet', 'and', 'its', 'environment', 'or', 'the', 'variation', 'from', 'the', 'geometric', 'configuration', 'of', 'the', 'jet', 'while', 'the', 'spectra', 'can', 'also', 'be', 'fitted', 'with', 'a', 'variable', 'absorption', 'at', 'the', 'lens', 'redshift', 'we', 'show', 'that', 'this', 'model', 'is', 'unlikely', 'we', 'also', 'rule', 'out', 'the', 'simple', 'microlensing', 'interpretation', 'of', 'variability', 'which', 'was', 'previously', 'suggested']] | [-0.04571028480105504, 0.07839966859824643, -0.0940568328299699, 0.07133820800258482, -0.1131855866392171, -0.08072892889313533, 0.05526985408819119, 0.4792754761428533, -0.2176425845597865, -0.34657912071191976, 0.10626588862397691, -0.29272533916383087, -0.07549927320643635, 0.19492685593926756, -0.04673110831997352, -0.02012859702055917, 0.02558243449172284, -0.07353607695661261, -0.004279144023859477, -0.21648071293682863, 0.29020812147726377, 0.09919202236966146, 0.17288082904282756, 0.018830713401213957, 0.07029692365224668, -0.03534453491886665, -0.09179887560915626, 0.05099592309913593, -0.05205516447217279, 0.07672566835054692, 0.2352156728229384, 0.10774579835765644, 0.17722929725534992, -0.3109725882650582, -0.2650693091368693, 0.03600987717565037, 0.15531590323850603, 0.05101712244426174, -0.01050580131562014, -0.2766290738409062, 0.03597256833475507, -0.17244431572411387, -0.1501584223270818, 0.03580737641516203, 0.023888117393958356, 0.05248227326476857, -0.21388589666353283, 0.11418268537047058, 0.023872112883547666, 0.04141599674357804, -0.12862428331337758, -0.07517136913629438, -0.04816846147006723, 0.04458162198847015, 0.0705798757541367, 0.06815590246017286, 0.12611501448380644, -0.11623932019957972, -0.11245286940390657, 0.3796807993077924, -0.07790283872090659, -0.03815844039360206, 0.20028735747599896, -0.20859142435536146, -0.2173997100364573, 0.19758164260430475, 0.12561414055637793, 0.11775174985282837, -0.13331483155600504, -0.004942567133369806, -0.08567233241238481, 0.2611155446596488, 0.03518601418277639, 0.04205266462672435, 0.2837845246101211, 0.09747521332562706, 0.010713533827376937, 0.1438810362126455, -0.22030685868108657, -0.006625548759363815, -0.2878642841437441, -0.09300717052273051, -0.15374400651272008, 0.09906870438823613, -0.11145072058095906, -0.11427004811142064, 0.36803931834086956, 0.12744444190081164, 0.2510164302556279, -0.012603105581226107, 0.28865941504607656, 0.14482818791241256, 0.06920211898542182, 0.09298057623854476, 0.34231042295895114, 0.12885126300033428, 0.08617275779157832, -0.2116350176323116, 0.12602759284053755, -0.0054542504538207534] |
707.2054 | The structure of surfaces mapping to the moduli stack of canonically
polarized varieties | Generalizing the well-known Shafarevich hyperbolicity conjecture, it has been
conjectured by Viehweg that a quasi-projective manifold that admits a
generically finite morphism to the moduli stack of canonically polarized
varieties is necessarily of log general type. Given a quasi-projective surface
that maps to the moduli stack, we employ extension properties of logarithmic
pluri-forms to establish a strong relationship between the moduli map and the
minimal model program of the surface. As a result, we can describe the
fibration induced by the moduli map quite explicitly. A refined affirmative
answer to Viehweg's conjecture for families over surfaces follows as a
corollary.
| math.AG | generalizing the wellknown shafarevich hyperbolicity conjecture it has been conjectured by viehweg that a quasiprojective manifold that admits a generically finite morphism to the moduli stack of canonically polarized varieties is necessarily of log general type given a quasiprojective surface that maps to the moduli stack we employ extension properties of logarithmic pluriforms to establish a strong relationship between the moduli map and the minimal model program of the surface as a result we can describe the fibration induced by the moduli map quite explicitly a refined affirmative answer to viehwegs conjecture for families over surfaces follows as a corollary | [['generalizing', 'the', 'wellknown', 'shafarevich', 'hyperbolicity', 'conjecture', 'it', 'has', 'been', 'conjectured', 'by', 'viehweg', 'that', 'a', 'quasiprojective', 'manifold', 'that', 'admits', 'a', 'generically', 'finite', 'morphism', 'to', 'the', 'moduli', 'stack', 'of', 'canonically', 'polarized', 'varieties', 'is', 'necessarily', 'of', 'log', 'general', 'type', 'given', 'a', 'quasiprojective', 'surface', 'that', 'maps', 'to', 'the', 'moduli', 'stack', 'we', 'employ', 'extension', 'properties', 'of', 'logarithmic', 'pluriforms', 'to', 'establish', 'a', 'strong', 'relationship', 'between', 'the', 'moduli', 'map', 'and', 'the', 'minimal', 'model', 'program', 'of', 'the', 'surface', 'as', 'a', 'result', 'we', 'can', 'describe', 'the', 'fibration', 'induced', 'by', 'the', 'moduli', 'map', 'quite', 'explicitly', 'a', 'refined', 'affirmative', 'answer', 'to', 'viehwegs', 'conjecture', 'for', 'families', 'over', 'surfaces', 'follows', 'as', 'a', 'corollary']] | [-0.18759838625788688, 0.029835904201027007, -0.17574296817183493, 0.13079324086778799, -0.11325176550075412, -0.17529483439866453, 0.024648237621004227, 0.30413954639341684, -0.360082971714437, -0.23467405579518527, 0.05640618906822056, -0.21308567247819155, -0.1936750381300226, 0.21750300214393065, -0.18297101349337028, -0.027721333424560724, 0.012790331149008126, -0.022816080823540686, -0.09949554768274538, -0.3426132062834222, 0.44575509856455026, -0.0287426943378523, 0.2566426877793856, 0.12387995741795749, 0.1466577893216163, 0.005392947579966858, 0.0364515518117696, 0.016672768662683666, -0.16851250720552344, 0.11788917637546546, 0.31431395852938293, 0.07206948868231848, 0.14727804644033313, -0.3447018536180258, -0.2153594657033682, 0.2129401976475492, 0.09634242920670659, 0.06038929960224777, 0.0017507968901190906, -0.2184472390729934, 0.12670972684863954, -0.13730405938578769, -0.2171013671043329, -0.10168306183069944, 0.07810836438089609, -0.02354091479021008, -0.18321648083627223, -0.049034950053319336, 0.13557531784288585, 0.09523522108793259, -0.05245968569768593, -0.01774903728044592, -0.13510583985596894, 0.04238382630981505, 0.016517114438238424, 0.1458819396980107, 0.055954286456108095, -0.1052887531556189, -0.08075688006414566, 0.33629949257709085, -0.14632972651161252, -0.20477387572638692, 0.11026182786095888, -0.08746829631738365, -0.12986406131647527, 0.14303704897407443, 0.07258138949982822, 0.19565923938527705, -0.009420505678281187, 0.19874434346274938, -0.18933923356235027, 0.10928702981676906, 0.12817625949857755, -0.04478214400354773, 0.1469601487996988, 0.0844041000213474, 0.09838402334600688, 0.14657315900549292, 0.0053541604988276955, -0.04161902742926031, -0.3562971324974205, -0.1943228781595826, -0.0765405566780828, 0.20080991894006728, -0.08530892729744664, -0.18012851160019636, 0.37086251496803013, 0.019856665947590956, 0.23653711304068564, 0.14598517715465278, 0.2104829604574479, 0.022989474970963784, 0.03307327497750521, 0.0336791700986214, 0.15046932113124056, 0.2501590312691405, -0.03594877216615714, -0.10644895101897418, 0.016358488508849404, 0.2382692101970315] |
707.2055 | Confirmation of the 62 Day X-Ray Periodicity from M82 | Using 400 days of new X-ray monitoring of M82, we confirm the 62 day
periodicity previously reported. In the full data set spanning 1124 days, we
find a period of 62.0 +/- 0.3 days and a coherence, Q = 22.3, that is
consistent with a strictly periodic signal. We estimate that the probability of
chance occurrence of our observed signal is 6E-7. The light curve folded at
this period is roughly sinusoidal and has a peak to peak amplitude of (0.99 +/-
0.10) x 10^-11 erg cm^-2 s^-1. Confirmation of the periodicity strengthens our
previous suggestion that the 62 day modulation is due to orbital motion within
an X-ray binary.
| astro-ph | using 400 days of new xray monitoring of m82 we confirm the 62 day periodicity previously reported in the full data set spanning 1124 days we find a period of 620 03 days and a coherence q 223 that is consistent with a strictly periodic signal we estimate that the probability of chance occurrence of our observed signal is 6e7 the light curve folded at this period is roughly sinusoidal and has a peak to peak amplitude of 099 010 x 1011 erg cm2 s1 confirmation of the periodicity strengthens our previous suggestion that the 62 day modulation is due to orbital motion within an xray binary | [['using', '400', 'days', 'of', 'new', 'xray', 'monitoring', 'of', 'm82', 'we', 'confirm', 'the', '62', 'day', 'periodicity', 'previously', 'reported', 'in', 'the', 'full', 'data', 'set', 'spanning', '1124', 'days', 'we', 'find', 'a', 'period', 'of', '620', '03', 'days', 'and', 'a', 'coherence', 'q', '223', 'that', 'is', 'consistent', 'with', 'a', 'strictly', 'periodic', 'signal', 'we', 'estimate', 'that', 'the', 'probability', 'of', 'chance', 'occurrence', 'of', 'our', 'observed', 'signal', 'is', '6e7', 'the', 'light', 'curve', 'folded', 'at', 'this', 'period', 'is', 'roughly', 'sinusoidal', 'and', 'has', 'a', 'peak', 'to', 'peak', 'amplitude', 'of', '099', '010', 'x', '1011', 'erg', 'cm2', 's1', 'confirmation', 'of', 'the', 'periodicity', 'strengthens', 'our', 'previous', 'suggestion', 'that', 'the', '62', 'day', 'modulation', 'is', 'due', 'to', 'orbital', 'motion', 'within', 'an', 'xray', 'binary']] | [-0.1741974290135264, 0.12962765184701705, -0.07383590859343421, 0.038763107985635904, -0.062232369811818844, -0.07653865266485878, 0.13205442748269733, 0.42955800349701123, -0.17509733330247537, -0.37067062004891066, 0.10055761956851403, -0.32590486957990333, -0.03892896419120865, 0.24293433398640943, -0.07582812727964923, 0.0031134271027766307, 0.08628529443953051, 0.020713672217614245, -0.08488250163796726, -0.2500053345366328, 0.15373804035403257, 0.03216975312108912, 0.21845155541416048, 0.009697265307998882, 0.0799890008221275, 0.014746443232310549, -0.004562016680313907, -0.11097002308815718, -0.12491085370973726, 0.03643832732659747, 0.18154229416801893, 0.08609862359381228, 0.19292352499851062, -0.2886232448618789, -0.19054532474794267, 0.07390001746122989, 0.1273526359335212, -0.0026316364770228007, 0.005247644667144654, -0.2324341016718327, 0.11229673754599578, -0.19121776134619173, -0.1816287122289035, 0.08599948054530991, 0.1738839801576621, -0.017370373906813702, -0.23346263564736494, 0.1896416947271956, 0.025489877575551562, 0.12675612826638347, -0.14828576753794584, -0.09293590670556955, -0.013102632824261233, -0.015194636145782358, 0.055514231895289895, 0.1785043518823343, 0.09879089827332997, 0.01253600796148673, -0.10832313188013427, 0.36520220096583283, -0.1137985372212979, 0.0591202699227856, 0.1504017104271729, -0.20424669915107344, -0.13442292423778265, 0.2733006111328613, 0.10448676014081838, 0.06273305588149254, -0.12815845900935666, -0.057926102437052596, -0.03541477157664046, 0.3328486196345316, 0.10040811816766367, 0.04659863444537206, 0.28144449986658004, 0.16110756372119178, 0.01886346704493505, 0.06206027857678117, -0.2617300359251083, -0.007748407197518731, -0.2444009521079935, -0.058240403091745836, -0.1281853501348897, 0.1264954834038673, -0.12336939039067936, -0.07029145618654647, 0.42419186091261374, 0.12498888412912218, 0.24746848539150548, 0.05279898451737849, 0.2225588577368982, 0.13740873003923795, 0.04928232099391951, 0.07557268138922188, 0.30907142352321587, 0.1388594516320154, 0.0886041006547803, -0.1788009690243821, 0.03435620883005267, -0.05370408674825053] |
707.2056 | Integral formulas for a class of curvature PDE's and applications to
isoperimetric inequalities and to symmetry problems | We prove integral formulas for closed hypersurfaces in C^{n+1}, which furnish
a relation between elementary symmetric functions in the eigenvalues of the
complex Hessian matrix of the defining function and the Levi curvatures of the
hypersurface. Then we follow the Reilly approach to prove an isoperimetric
inequality. As an application, we obtain the ``Soap Bubble Theorem'' for
star-shaped domains with positive and constant Levi curvatures bounding the
classical mean curvature from above.
| math.AP math.CV | we prove integral formulas for closed hypersurfaces in cn1 which furnish a relation between elementary symmetric functions in the eigenvalues of the complex hessian matrix of the defining function and the levi curvatures of the hypersurface then we follow the reilly approach to prove an isoperimetric inequality as an application we obtain the soap bubble theorem for starshaped domains with positive and constant levi curvatures bounding the classical mean curvature from above | [['we', 'prove', 'integral', 'formulas', 'for', 'closed', 'hypersurfaces', 'in', 'cn1', 'which', 'furnish', 'a', 'relation', 'between', 'elementary', 'symmetric', 'functions', 'in', 'the', 'eigenvalues', 'of', 'the', 'complex', 'hessian', 'matrix', 'of', 'the', 'defining', 'function', 'and', 'the', 'levi', 'curvatures', 'of', 'the', 'hypersurface', 'then', 'we', 'follow', 'the', 'reilly', 'approach', 'to', 'prove', 'an', 'isoperimetric', 'inequality', 'as', 'an', 'application', 'we', 'obtain', 'the', 'soap', 'bubble', 'theorem', 'for', 'starshaped', 'domains', 'with', 'positive', 'and', 'constant', 'levi', 'curvatures', 'bounding', 'the', 'classical', 'mean', 'curvature', 'from', 'above']] | [-0.1505929836097898, 0.030336546896352148, -0.10503430379968551, 0.08446236581463988, -0.10653997298019628, -0.1353439845649215, -0.03206014477958282, 0.3140532788173813, -0.2923578546033241, -0.21709942143772626, 0.08293913491555334, -0.2644321818887774, -0.17582779786526873, 0.17046145849033362, -0.10010181937084578, 0.04541084800924485, 0.006033484435950716, 0.0905703009209699, -0.11105110607200509, -0.20703656135851312, 0.4115873617637489, -0.10227945697907773, 0.2023909087066487, 0.15738045747437152, 0.10698532297909777, -0.006898305262438953, 0.02826738248242893, -0.017346826899382804, -0.24911076116323885, 0.17199297596299504, 0.2419799577360714, 0.10774933443301254, 0.2257634478284874, -0.41082912794728244, -0.1347095383098349, 0.18899676496706283, 0.12683023866783413, 0.014206971855148569, -0.00890633253665227, -0.3084481527718405, 0.07936118096889307, -0.07667850835585138, -0.2667916748776204, -0.047134124444306105, 0.02651391623981504, 0.024202980325854797, -0.25161215029139483, 0.13423410563781443, 0.1169277937280842, 0.10366509893436968, -0.14255956929021826, -0.12642550895947757, -0.01031360595435318, 0.05697247616869087, 0.04045651904824707, 0.012159489507515294, 0.0967327604173786, -0.07286631315946579, -0.07614857992545392, 0.2977909539800344, -0.08275067826293202, -0.2990055731497705, 0.03480506030609831, -0.16031639341316703, -0.09011747664771974, 0.0640844017939849, 0.14508975439497995, 0.15861740597109827, -0.06965442969360286, 0.17251637976247972, -0.07350479256516944, 0.03263840159989842, 0.1648667867605885, -0.06769265697544648, 0.09755416469286299, 0.01035367309426268, 0.1678109989863717, 0.18971993008421528, 0.010714739987937113, -0.08693102318405484, -0.40646157786250114, -0.2748317377926368, -0.2198773646960035, 0.1456159240204013, -0.2228596058877075, -0.2618237552879792, 0.34200804240794647, -0.02814647604585237, 0.21390511959584224, 0.19263313216732866, 0.22728508240025905, 0.0966473025020807, 0.045918790174053155, 0.13818310190820032, 0.18958600448159915, 0.23749204290086506, 0.039089698577299714, -0.11459400483161314, -0.012431592480020804, 0.18524173682089895] |
707.2057 | A waiting time problem arising from the study of multi-stage
carcinogenesis | We consider the population genetics problem: how long does it take before
some member of the population has $m$ specified mutations? The case $m=2$ is
relevant to onset of cancer due to the inactivation of both copies of a tumor
suppressor gene. Models for larger $m$ are needed for colon cancer and other
diseases where a sequence of mutations leads to cells with uncontrolled growth.
| math.PR q-bio.TO | we consider the population genetics problem how long does it take before some member of the population has m specified mutations the case m2 is relevant to onset of cancer due to the inactivation of both copies of a tumor suppressor gene models for larger m are needed for colon cancer and other diseases where a sequence of mutations leads to cells with uncontrolled growth | [['we', 'consider', 'the', 'population', 'genetics', 'problem', 'how', 'long', 'does', 'it', 'take', 'before', 'some', 'member', 'of', 'the', 'population', 'has', 'm', 'specified', 'mutations', 'the', 'case', 'm2', 'is', 'relevant', 'to', 'onset', 'of', 'cancer', 'due', 'to', 'the', 'inactivation', 'of', 'both', 'copies', 'of', 'a', 'tumor', 'suppressor', 'gene', 'models', 'for', 'larger', 'm', 'are', 'needed', 'for', 'colon', 'cancer', 'and', 'other', 'diseases', 'where', 'a', 'sequence', 'of', 'mutations', 'leads', 'to', 'cells', 'with', 'uncontrolled', 'growth']] | [-0.0582662902199305, 0.1437374714260491, 0.04567540504324895, 0.08569874495017127, -0.0372876117650706, -0.1846621880880915, 0.0697316779074474, 0.32648791000963406, -0.21649842180598242, -0.22241683272788157, 0.08616888263047888, -0.271887517759863, -0.2074644388917547, 0.1747128464281559, -0.17071577686673173, -0.023970648752023968, 0.097674917214765, 0.07037977332679125, 0.11268647940686116, -0.3056283706261848, 0.2713383422448085, -0.0002911006315396382, 0.23445281819798625, -0.04341249565522258, 0.10570375963579863, -0.03531079014333395, -0.0024917620449112013, -0.02746192877395795, -0.16247710234199006, 0.07354049589305829, 0.3158523897271572, 0.2289036821000851, 0.37487477167294575, -0.4529216921959932, -0.2245805071738477, 0.20296330268566426, 0.20568990579877908, 0.18216743025069054, -0.0017265157877073552, -0.19531514102664704, 0.09383828206202732, -0.13481711425567763, -0.09360017378169756, 0.013940379281456654, 0.08000433748731246, 0.03375479102295895, -0.3244668840072476, 0.13908168313344224, 0.03003886379301548, 0.06135507125694018, -0.06588055248587177, -0.14130344880888096, -0.07528365033033949, 0.23661968964510238, 0.12063081918033557, 0.052652502145904764, 0.17070422070100905, -0.13523206126231413, -0.09110768829973845, 0.34320632010125196, 0.03162163839890407, -0.19601697858709555, 0.21291465477731367, -0.19070644666655706, -0.11494798904571396, 0.15272680442207134, 0.141850714206409, 0.10602458190316191, -0.17425343046287217, 0.04491549139896121, 0.03036284956078117, 0.1481236589499391, 0.08967326978006615, -0.0334793937822374, 0.16074351460959477, 0.23937991903378414, 0.03577139883731993, 0.11125670715969485, -0.1197267532420273, -0.060196653409646105, -0.2172476264146658, -0.14946827058895276, -0.07518275908839245, 0.12045408015927443, -0.07770735543700329, -0.22387724780979065, 0.3850807975117977, 0.08643838924606545, 0.19088060209670893, 0.07123714262762895, 0.17274411810884396, 0.019599518491528356, 0.12870721811285385, -0.058350198873533654, 0.06313193563165931, 0.12069054995305263, 0.03654979237426932, -0.2910557900734532, 0.16862797790135328, 0.013212111176779636] |
707.2058 | Two path transport measurements on a triple quantum dot | We present an advanced lateral triple quantum dot made by local anodic
oxidation. Three dots are coupled in a starlike geometry with one lead attached
to each dot thus allowing for multiple path transport measurements with two
dots per path. In addition charge detection is implemented using a quantum
point contact. Both in charge measurements as well as in transport we observe
clear signatures of states from each dot. Resonances of two dots can be
established allowing for serial transport via the corresponding path. Quadruple
points with all three dots in resonance are prepared for different electron
numbers and analyzed concerning the interplay of the simultaneously measured
transport along both paths.
| cond-mat.mes-hall | we present an advanced lateral triple quantum dot made by local anodic oxidation three dots are coupled in a starlike geometry with one lead attached to each dot thus allowing for multiple path transport measurements with two dots per path in addition charge detection is implemented using a quantum point contact both in charge measurements as well as in transport we observe clear signatures of states from each dot resonances of two dots can be established allowing for serial transport via the corresponding path quadruple points with all three dots in resonance are prepared for different electron numbers and analyzed concerning the interplay of the simultaneously measured transport along both paths | [['we', 'present', 'an', 'advanced', 'lateral', 'triple', 'quantum', 'dot', 'made', 'by', 'local', 'anodic', 'oxidation', 'three', 'dots', 'are', 'coupled', 'in', 'a', 'starlike', 'geometry', 'with', 'one', 'lead', 'attached', 'to', 'each', 'dot', 'thus', 'allowing', 'for', 'multiple', 'path', 'transport', 'measurements', 'with', 'two', 'dots', 'per', 'path', 'in', 'addition', 'charge', 'detection', 'is', 'implemented', 'using', 'a', 'quantum', 'point', 'contact', 'both', 'in', 'charge', 'measurements', 'as', 'well', 'as', 'in', 'transport', 'we', 'observe', 'clear', 'signatures', 'of', 'states', 'from', 'each', 'dot', 'resonances', 'of', 'two', 'dots', 'can', 'be', 'established', 'allowing', 'for', 'serial', 'transport', 'via', 'the', 'corresponding', 'path', 'quadruple', 'points', 'with', 'all', 'three', 'dots', 'in', 'resonance', 'are', 'prepared', 'for', 'different', 'electron', 'numbers', 'and', 'analyzed', 'concerning', 'the', 'interplay', 'of', 'the', 'simultaneously', 'measured', 'transport', 'along', 'both', 'paths']] | [-0.16456869747993108, 0.16998254222103693, -0.017811256175575493, -0.020503114321613097, 0.05195828663134897, -0.2319556113735244, 0.007322041225527321, 0.41752127612529844, -0.2819283182147014, -0.3096763369635687, 0.030808426547787145, -0.3263571918648374, -0.09617278943056459, 0.23773328785004244, 0.020910658533810765, 0.06602448188943101, 0.07678986788802855, -0.003296748730815477, -0.04205297562424807, -0.15640686516994023, 0.29251897049264675, -0.027962753467412817, 0.23011894852157916, 0.06405825087347546, 0.08446049180955768, 0.06337056481405287, 0.04794881927470366, 0.0469232400426188, -0.14739547603813982, 0.08940803138948222, 0.24956557447266942, -0.02933423066729898, 0.20480522189104744, -0.4988826845042609, -0.15377866350919814, 0.025016260832581703, 0.17503582120680058, 0.09386915647684857, -0.07980999228259263, -0.25608286337071173, 0.05144149388883028, -0.10961206551632835, -0.07896949535839863, -0.02791195443772652, -0.04046344675274717, 0.06200190039502608, -0.26008788253776394, 0.04840829059783671, -0.022032748004799155, 0.04225926899963671, -0.0007677256960321117, -0.09020186139916715, -0.03487713604133476, 0.1706328393958576, -0.046158161616322024, 0.007389391147372153, 0.1873936605732049, -0.07489864385229544, -0.2229523506720324, 0.31998834796753284, -0.047757797790607355, -0.20178697066306062, 0.1852080295080537, -0.18946932481081635, -0.07584158094129986, 0.11878351061730771, 0.0924119382870157, 0.11830733496662196, -0.2048546602605498, 0.0350473283927443, 0.03031906697412466, 0.10858074858546601, 0.10225261674002484, 0.10031487438659947, 0.2586385615988449, 0.14170948632359337, 0.05208317552869384, 0.13190596135383523, -0.1549432089401258, -0.13545900921186282, -0.2587647539702966, -0.23066472273470984, -0.1802620877032504, 0.11962002256532779, -0.07079063573637705, -0.15236176896068426, 0.39975975833094873, 0.09372026204374863, 0.23688143594316333, -0.05353552525074364, 0.24772034028360435, 0.12029661459277745, 0.07350517894972015, 0.027771624388290686, 0.20656778057198133, 0.17390284854457252, 0.04023901956692875, -0.24190623155660793, 0.01603248660654031, -0.016351448439128766] |
707.2059 | Suppression of H_2 Cooling in the Ultraviolet Background | The first luminous objects in the concordance cosmology form by molecular
hydrogen cooling in dark matter dominated halos of masses ~10^6 M_sun. We use
Eulerian adaptive mesh refinement simulations to demonstrate that in the
presence of a large soft ultraviolet radiation background, molecular hydrogen
is the dominant coolant. Even for very large radiation backgrounds, the halo
masses that cool and collapse are up to two orders of magnitude smaller than
the halos that cool via atomic hydrogen line cooling. The abundance of cooling
halos and the cosmic mass fraction contained within them depends exponentially
on this critical mass scale. Consequently, the majority of current models of
cosmological reionization, chemical evolution, supermassive black hole
formation, and galaxy formation underestimate the number of star forming
progenitors of a given system by orders of magnitude. At the highest redshifts,
this disagreement is largest. We also show that even in the absence of residual
electrons, collisional ionization in central shocks create a sufficient amount
of electrons to form molecular hydrogen and cool the gas in halos of virial
temperatures far below the atomic cooling limit.
| astro-ph | the first luminous objects in the concordance cosmology form by molecular hydrogen cooling in dark matter dominated halos of masses 106 m_sun we use eulerian adaptive mesh refinement simulations to demonstrate that in the presence of a large soft ultraviolet radiation background molecular hydrogen is the dominant coolant even for very large radiation backgrounds the halo masses that cool and collapse are up to two orders of magnitude smaller than the halos that cool via atomic hydrogen line cooling the abundance of cooling halos and the cosmic mass fraction contained within them depends exponentially on this critical mass scale consequently the majority of current models of cosmological reionization chemical evolution supermassive black hole formation and galaxy formation underestimate the number of star forming progenitors of a given system by orders of magnitude at the highest redshifts this disagreement is largest we also show that even in the absence of residual electrons collisional ionization in central shocks create a sufficient amount of electrons to form molecular hydrogen and cool the gas in halos of virial temperatures far below the atomic cooling limit | [['the', 'first', 'luminous', 'objects', 'in', 'the', 'concordance', 'cosmology', 'form', 'by', 'molecular', 'hydrogen', 'cooling', 'in', 'dark', 'matter', 'dominated', 'halos', 'of', 'masses', '106', 'm_sun', 'we', 'use', 'eulerian', 'adaptive', 'mesh', 'refinement', 'simulations', 'to', 'demonstrate', 'that', 'in', 'the', 'presence', 'of', 'a', 'large', 'soft', 'ultraviolet', 'radiation', 'background', 'molecular', 'hydrogen', 'is', 'the', 'dominant', 'coolant', 'even', 'for', 'very', 'large', 'radiation', 'backgrounds', 'the', 'halo', 'masses', 'that', 'cool', 'and', 'collapse', 'are', 'up', 'to', 'two', 'orders', 'of', 'magnitude', 'smaller', 'than', 'the', 'halos', 'that', 'cool', 'via', 'atomic', 'hydrogen', 'line', 'cooling', 'the', 'abundance', 'of', 'cooling', 'halos', 'and', 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707.206 | Decoherence of a Single Qubit from Quantum Anomaly | We show via an explicit example that quantum anomalies can lead to
decoherence of a single quantum qubit through phase relaxation. The anomaly
causes the Hamiltonian to develop a non-self-adjoint piece due to the
non-invariance of the domain of the Hamiltonian under symmetry transformation.
The resulting decoherence originates completely from the dynamics of the system
itself and not, as usually considered, from interactions with the environment.
| quant-ph hep-th | we show via an explicit example that quantum anomalies can lead to decoherence of a single quantum qubit through phase relaxation the anomaly causes the hamiltonian to develop a nonselfadjoint piece due to the noninvariance of the domain of the hamiltonian under symmetry transformation the resulting decoherence originates completely from the dynamics of the system itself and not as usually considered from interactions with the environment | [['we', 'show', 'via', 'an', 'explicit', 'example', 'that', 'quantum', 'anomalies', 'can', 'lead', 'to', 'decoherence', 'of', 'a', 'single', 'quantum', 'qubit', 'through', 'phase', 'relaxation', 'the', 'anomaly', 'causes', 'the', 'hamiltonian', 'to', 'develop', 'a', 'nonselfadjoint', 'piece', 'due', 'to', 'the', 'noninvariance', 'of', 'the', 'domain', 'of', 'the', 'hamiltonian', 'under', 'symmetry', 'transformation', 'the', 'resulting', 'decoherence', 'originates', 'completely', 'from', 'the', 'dynamics', 'of', 'the', 'system', 'itself', 'and', 'not', 'as', 'usually', 'considered', 'from', 'interactions', 'with', 'the', 'environment']] | [-0.15272202553001768, 0.1645271798516853, -0.10718213156161999, 0.014563604690148637, -0.052618104075504976, -0.11471129276535728, 0.03212679396242355, 0.30166161489306076, -0.33120399843336956, -0.2662922905645136, 0.09143859541720965, -0.26608169223464123, -0.18945306003319495, 0.1547869233075868, -0.03508666136556051, 0.030409638431261887, 0.05983098392254871, 0.07942126602089654, -0.09336936705971532, -0.15769101157220025, 0.3367357212824352, 0.06234947063917802, 0.25000374964579486, 0.06408711206996955, 0.1146235140252181, 0.031062247436211415, 0.07717762811278756, -0.01931929506474372, -0.050807825096192326, 0.03454267613900205, 0.21716648097516913, 0.06988502990376826, 0.1930382401033333, -0.47742903684124804, -0.21365791351788424, 0.09352378488278412, 0.12481107055491795, 0.21373409962733136, -0.06198682482566007, -0.3438871118070727, -0.0018915252999938798, -0.16777025266183596, -0.10815554043052322, -0.09842831244917982, -0.03926068589542851, -0.09209014869041064, -0.2513471940377106, 0.11576411726364864, 0.11121570135494976, 0.02901948020426613, -0.028820101154093263, -0.006356705324089324, 0.003189882884422938, 0.13174409647895532, 0.06891512479915311, 0.0007033458960270791, 0.16666285807414996, -0.10122968072325668, -0.12388922446266268, 0.4444188678806478, -0.061531672779837565, -0.2213271480674545, 0.20116213775790212, -0.1043772537712798, -0.08404041837308217, 0.1331017536365173, 0.11738604327635557, 0.07302215607187738, -0.19190934980570368, 0.10562659706832192, 0.03822214413208492, 0.1688100342730512, -0.013675830094143748, 0.07414747662418945, 0.2009254866420771, 0.07430737391890337, 0.08871170734478669, 0.20742883679993224, -0.057039660373420425, -0.15421177661328606, -0.33976978797352675, -0.12365433241057237, -0.19289779897327675, 0.1417933205518762, -0.038296745967245166, -0.16242638107558544, 0.4141600260115934, 0.14983527199012425, 0.2074495225749684, -0.023149646931525433, 0.2547480360971707, 0.1529189194111633, 0.12156984602298701, 0.02657208223403855, 0.2329712565847193, 0.13941800681817712, 0.061849501047452744, -0.3524284664485039, 0.055219566520077715, 0.04709463062780825] |
707.2061 | AC Hopping Magnetotransport Across the Spin Flop Transition in Lightly
Doped La_2CuO_4 | The weak ferromagnetism present in insulating La_{2}CuO_4 at low doping leads
to a spin flop transition, and to transverse (interplane) hopping of holes in a
strong external magnetic field. This results in a dimensional crossover 2D
$\to$ 3D for the in-plane transport, which in turn leads to an increase of the
hole's localization length and increased conduction. We demonstrate
theoretically that as a consequence of this mechanism, a frequency-dependent
jump of the in-plane ac hopping conductivity occurs at the spin flop
transition. We predict the value and the frequency dependence of the jump.
Experimental studies of this effect would provide important confirmation of the
emerging understanding of lightly doped insulating La_{2-x}Sr_xCuO_4.
| cond-mat.str-el cond-mat.dis-nn | the weak ferromagnetism present in insulating la_2cuo_4 at low doping leads to a spin flop transition and to transverse interplane hopping of holes in a strong external magnetic field this results in a dimensional crossover 2d to 3d for the inplane transport which in turn leads to an increase of the holes localization length and increased conduction we demonstrate theoretically that as a consequence of this mechanism a frequencydependent jump of the inplane ac hopping conductivity occurs at the spin flop transition we predict the value and the frequency dependence of the jump experimental studies of this effect would provide important confirmation of the emerging understanding of lightly doped insulating la_2xsr_xcuo_4 | [['the', 'weak', 'ferromagnetism', 'present', 'in', 'insulating', 'la_2cuo_4', 'at', 'low', 'doping', 'leads', 'to', 'a', 'spin', 'flop', 'transition', 'and', 'to', 'transverse', 'interplane', 'hopping', 'of', 'holes', 'in', 'a', 'strong', 'external', 'magnetic', 'field', 'this', 'results', 'in', 'a', 'dimensional', 'crossover', '2d', 'to', '3d', 'for', 'the', 'inplane', 'transport', 'which', 'in', 'turn', 'leads', 'to', 'an', 'increase', 'of', 'the', 'holes', 'localization', 'length', 'and', 'increased', 'conduction', 'we', 'demonstrate', 'theoretically', 'that', 'as', 'a', 'consequence', 'of', 'this', 'mechanism', 'a', 'frequencydependent', 'jump', 'of', 'the', 'inplane', 'ac', 'hopping', 'conductivity', 'occurs', 'at', 'the', 'spin', 'flop', 'transition', 'we', 'predict', 'the', 'value', 'and', 'the', 'frequency', 'dependence', 'of', 'the', 'jump', 'experimental', 'studies', 'of', 'this', 'effect', 'would', 'provide', 'important', 'confirmation', 'of', 'the', 'emerging', 'understanding', 'of', 'lightly', 'doped', 'insulating', 'la_2xsr_xcuo_4']] | [-0.19950185972475656, 0.20882811427637116, -0.0013570591706681895, 0.030942262528959225, -0.04349742616476441, -0.14793729396570507, 0.11202966189431446, 0.3771557326990742, -0.26518096773138455, -0.25479046163895913, -0.006340646642251863, -0.29491988016367965, -0.13244032277096365, 0.17329012360088192, 0.02342275719720501, -0.031610925128129685, -0.04404761901897219, -0.03892205553396756, -0.13018138581458982, -0.1866905445648307, 0.2466587527311063, 0.03951684581031939, 0.3608429342223046, 0.1412334412437033, 0.058084426065990784, 0.018803816284514493, 0.14187953668134706, 0.04611786971758078, -0.15971501590415305, 0.04565828332996315, 0.27854991826723824, -0.14524192960412652, 0.20371663859030148, -0.4153680909626387, -0.21247006876410934, -0.007705170438868237, 0.16128548507595453, 0.2038527692485651, -0.09183495093728541, -0.24072137533745788, 0.03795906204126171, -0.15536143871754207, -0.12661606387071614, -0.09171260215828682, 0.018608521025099262, -0.041843105661305224, -0.2951802957870133, 0.1515729358621143, 0.12304152234725922, 0.09529598486853076, -0.11014842547828683, -0.07826579812817645, -0.06334634845958906, 0.08080301831082047, 0.112782677249597, 0.09125520735727372, 0.16717282219932558, -0.14296249452400753, -0.11639075432610405, 0.313175733494866, -0.06285918031626188, -0.07118744001228798, 0.1694722017189404, -0.24205053884426955, -0.0680020129777961, 0.1823838860769798, 0.13849944514767812, 0.09306486711946425, -0.08745929406985205, 0.045383178344497725, 0.00040047091373183704, 0.1592044626857649, 0.0052271473917875205, 0.08006907813670533, 0.27719095745333683, 0.22639547618785621, 0.05260302557668707, 0.18754446001614336, -0.1495673091545164, -0.020052883228673053, -0.22310515639984663, -0.17876829487179313, -0.19318162619245347, 0.13364940650996054, -0.10429425288774681, -0.22260146893493765, 0.39987811265798573, 0.2192136814690883, 0.22690100312602143, -0.04915850646353352, 0.23388454135485584, 0.14980659728160817, 0.04478355160671043, -0.0017506790406129381, 0.26327793877404015, 0.17014328991629285, 0.17091258803197928, -0.3415620865086345, 0.07894723622447199, 0.02557405211851588] |
707.2062 | A study of the neglected Galactic HII region NGC 2579 and its companion
ESO 370-9 | The Galactic HII region NGC 2579 has stayed undeservedly unexplored due to
identification problems which persisted until recently. Both NGC 2579 and its
companion ESO 370-9 have been misclassified as planetary or reflection nebula,
confused with each other and with other objects. Due to its high surface
brightness, high excitation, angular size of few arcminutes and relatively low
interstellar extinction, NGC 2579 is an ideal object for investigations in the
optical range. Located in the outer Galaxy, NGC 2579 is an excellent object for
studying the Galactic chemical abundance gradients. In this paper we present
the first comprehensive observational study on the nebular and stellar
properties of NGC 2579 and ESO 370-9, including the determination of electron
temperature, density structure, chemical composition, kinematics, distance, and
the identification and spectral classification of the ionizing stars, and
discuss the nature of ESO 370-9. Long slit spectrophotometric data in the
optical range were used to derive the nebular electron temperature, density and
chemical abundances and for the spectral classification of the ionizing star
candidates. Halpha and UBV CCD photometry was carried out to derive stellar
distances from spectroscopic parallax and to measure the ionizing photon flux.
| astro-ph | the galactic hii region ngc 2579 has stayed undeservedly unexplored due to identification problems which persisted until recently both ngc 2579 and its companion eso 3709 have been misclassified as planetary or reflection nebula confused with each other and with other objects due to its high surface brightness high excitation angular size of few arcminutes and relatively low interstellar extinction ngc 2579 is an ideal object for investigations in the optical range located in the outer galaxy ngc 2579 is an excellent object for studying the galactic chemical abundance gradients in this paper we present the first comprehensive observational study on the nebular and stellar properties of ngc 2579 and eso 3709 including the determination of electron temperature density structure chemical composition kinematics distance and the identification and spectral classification of the ionizing stars and discuss the nature of eso 3709 long slit spectrophotometric data in the optical range were used to derive the nebular electron temperature density and chemical abundances and for the spectral classification of the ionizing star candidates halpha and ubv ccd photometry was carried out to derive stellar distances from spectroscopic parallax and to measure the ionizing photon flux | [['the', 'galactic', 'hii', 'region', 'ngc', '2579', 'has', 'stayed', 'undeservedly', 'unexplored', 'due', 'to', 'identification', 'problems', 'which', 'persisted', 'until', 'recently', 'both', 'ngc', '2579', 'and', 'its', 'companion', 'eso', '3709', 'have', 'been', 'misclassified', 'as', 'planetary', 'or', 'reflection', 'nebula', 'confused', 'with', 'each', 'other', 'and', 'with', 'other', 'objects', 'due', 'to', 'its', 'high', 'surface', 'brightness', 'high', 'excitation', 'angular', 'size', 'of', 'few', 'arcminutes', 'and', 'relatively', 'low', 'interstellar', 'extinction', 'ngc', '2579', 'is', 'an', 'ideal', 'object', 'for', 'investigations', 'in', 'the', 'optical', 'range', 'located', 'in', 'the', 'outer', 'galaxy', 'ngc', '2579', 'is', 'an', 'excellent', 'object', 'for', 'studying', 'the', 'galactic', 'chemical', 'abundance', 'gradients', 'in', 'this', 'paper', 'we', 'present', 'the', 'first', 'comprehensive', 'observational', 'study', 'on', 'the', 'nebular', 'and', 'stellar', 'properties', 'of', 'ngc', '2579', 'and', 'eso', '3709', 'including', 'the', 'determination', 'of', 'electron', 'temperature', 'density', 'structure', 'chemical', 'composition', 'kinematics', 'distance', 'and', 'the', 'identification', 'and', 'spectral', 'classification', 'of', 'the', 'ionizing', 'stars', 'and', 'discuss', 'the', 'nature', 'of', 'eso', '3709', 'long', 'slit', 'spectrophotometric', 'data', 'in', 'the', 'optical', 'range', 'were', 'used', 'to', 'derive', 'the', 'nebular', 'electron', 'temperature', 'density', 'and', 'chemical', 'abundances', 'and', 'for', 'the', 'spectral', 'classification', 'of', 'the', 'ionizing', 'star', 'candidates', 'halpha', 'and', 'ubv', 'ccd', 'photometry', 'was', 'carried', 'out', 'to', 'derive', 'stellar', 'distances', 'from', 'spectroscopic', 'parallax', 'and', 'to', 'measure', 'the', 'ionizing', 'photon', 'flux']] | [-0.009929439226657616, 0.03149362276757614, -0.08651018932152907, 0.04363122291879854, -0.11279399170349666, -0.09389425239011819, 0.031010629980187922, 0.4732287872601976, -0.15749487670505216, -0.37829021788129846, 0.05163618461277162, -0.2762601176238199, 0.043958492160876106, 0.19570812011644886, -0.08162624755686684, -0.006715139544235996, 0.07842474474862382, -0.1088352291193342, -0.025506773125440595, -0.26098152130801194, 0.25419434990343, 0.11586533975184272, 0.13337246106166653, 0.023531916832377642, 0.08047471859358454, -0.0914510188894491, -0.10177576749397374, -0.0584241677548524, -0.17048387775689827, 0.04112052404546192, 0.2570116804198512, 0.09924168291820185, 0.1948258206115582, -0.30952096253197997, -0.22147469066561157, 0.045160866699572366, 0.21169631604685502, 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707.2063 | A Cavity Experiment to Search for Hidden Sector Photons | We propose a cavity experiment to search for low mass extra U(1) gauge bosons
with gauge-kinetic mixing with the ordinary photon, so-called paraphotons. The
setup consists of two microwave cavities shielded from each other. In one
cavity, paraphotons are produced via photon-paraphoton oscillations. The
second, resonant, cavity is then driven by the paraphotons that permeate the
shielding and reconvert into photons. This setup resembles the classic ``light
shining through a wall'' setup. However, the high quality factors achievable
for microwave cavities and the good sensitivity of microwave detectors allow
for a projected sensitivity for photon-paraphoton mixing of the order of
\chi~10^{-12} to 10^{-8}, for paraphotons with masses in the \mu eV to meV
range -- exceeding the current laboratory- and astrophysics-based limits by
several orders of magnitude. Therefore, this experiment bears significant
discovery potential for hidden sector physics.
| hep-ph hep-ex hep-th | we propose a cavity experiment to search for low mass extra u1 gauge bosons with gaugekinetic mixing with the ordinary photon socalled paraphotons the setup consists of two microwave cavities shielded from each other in one cavity paraphotons are produced via photonparaphoton oscillations the second resonant cavity is then driven by the paraphotons that permeate the shielding and reconvert into photons this setup resembles the classic light shining through a wall setup however the high quality factors achievable for microwave cavities and the good sensitivity of microwave detectors allow for a projected sensitivity for photonparaphoton mixing of the order of chi1012 to 108 for paraphotons with masses in the mu ev to mev range exceeding the current laboratory and astrophysicsbased limits by several orders of magnitude therefore this experiment bears significant discovery potential for hidden sector physics | [['we', 'propose', 'a', 'cavity', 'experiment', 'to', 'search', 'for', 'low', 'mass', 'extra', 'u1', 'gauge', 'bosons', 'with', 'gaugekinetic', 'mixing', 'with', 'the', 'ordinary', 'photon', 'socalled', 'paraphotons', 'the', 'setup', 'consists', 'of', 'two', 'microwave', 'cavities', 'shielded', 'from', 'each', 'other', 'in', 'one', 'cavity', 'paraphotons', 'are', 'produced', 'via', 'photonparaphoton', 'oscillations', 'the', 'second', 'resonant', 'cavity', 'is', 'then', 'driven', 'by', 'the', 'paraphotons', 'that', 'permeate', 'the', 'shielding', 'and', 'reconvert', 'into', 'photons', 'this', 'setup', 'resembles', 'the', 'classic', 'light', 'shining', 'through', 'a', 'wall', 'setup', 'however', 'the', 'high', 'quality', 'factors', 'achievable', 'for', 'microwave', 'cavities', 'and', 'the', 'good', 'sensitivity', 'of', 'microwave', 'detectors', 'allow', 'for', 'a', 'projected', 'sensitivity', 'for', 'photonparaphoton', 'mixing', 'of', 'the', 'order', 'of', 'chi1012', 'to', '108', 'for', 'paraphotons', 'with', 'masses', 'in', 'the', 'mu', 'ev', 'to', 'mev', 'range', 'exceeding', 'the', 'current', 'laboratory', 'and', 'astrophysicsbased', 'limits', 'by', 'several', 'orders', 'of', 'magnitude', 'therefore', 'this', 'experiment', 'bears', 'significant', 'discovery', 'potential', 'for', 'hidden', 'sector', 'physics']] | [-0.11766907097081895, 0.2506410270411935, 0.017426776313395412, 0.01752607797841645, -0.04909103549434803, -0.159801918240609, 0.07364413797148261, 0.3463237305689189, -0.18195216427805092, -0.37303101174119446, 0.04462031911610177, -0.30517903435975313, 0.003499142280607312, 0.2245664989248056, 0.044913935481950086, 0.042522454540314225, 0.024261492939183005, -0.014400484787162255, -0.0234701796176119, -0.1608382677892223, 0.2680010114830953, 0.08653974732453072, 0.2853328545060423, 0.04521873569012516, 0.13213860312890674, -0.045328434706769054, 0.006638564838579408, -0.06883071450585568, -0.0838701381636417, 0.0856334566375827, 0.1967463686303408, 0.054691120702773335, 0.1765775832037131, -0.4151518025194053, -0.19340521308283012, 0.13659293779896364, 0.14696184928804912, 0.07518979082987816, -0.10115447607305315, -0.3076388212714206, 0.01609498095974602, -0.16708690794529737, -0.13484975855400855, -0.020010894449013803, -0.06377629660483863, -0.04135840370716458, -0.2890434857845927, 0.0749888661696955, -0.027983095218358494, 0.00366800748915584, 0.0005080077641954025, -0.07611078710415987, 0.023056411732816032, 0.023789523738539882, 0.051607242746696876, 0.03264639813935867, 0.179295277585172, -0.16476252419373918, -0.12569410583280302, 0.3766252871611397, -0.14071451263519488, -0.12502851174730395, 0.1921413156790314, -0.19034270248505183, -0.06876455181864677, 0.16185827657442403, 0.16279379822727708, 0.04835913204415529, -0.16081831745665381, 0.05975803364460632, -0.008190133098374915, 0.19733485018196342, 0.10915322995365218, 0.08389447346778103, 0.2686879683147978, 0.20554932389684297, 0.0359980115460025, 0.13698192685799399, -0.11078972028464906, -0.04166784389634375, -0.31518722289690265, -0.12054805382396336, -0.1023923397961038, 0.04478368442764299, -0.07480119479511847, -0.08444029927874605, 0.3802953915256593, 0.15191617905748664, 0.17830693919418586, -0.03935530641357656, 0.3427313726257395, 0.07026669171949228, 0.10594475687377983, 1.8898683979555412e-05, 0.3662704162222023, 0.13703968670322664, 0.08123645923548826, -0.23512832361674454, -0.04542659809123035, -0.0032296918901718323] |
707.2064 | Star Formation via the Little Guy: A Bayesian Study of Ultracool Dwarf
Imaging Surveys for Companions | I have undertaken a comprehensive statistical investigation of the ultracool
dwarf companion distribution (spectral type M6 and later). Utilizing a Bayesian
algorithm, I tested models of the companion distribution against data from an
extensive set of space and ground-based imaging observations of nearby
ultracool dwarfs. My main conclusions are fivefold: 1) Confirm that the
concentration of high mass ratio ultracool binary systems is a fundamental
feature of the companion distribution, not an observational or selection bias;
2) Determine that the wide (>~20 AU) binary frequency can be no more the 1-2%;
3) Show that the decreasing binary frequency with later spectral types is a
real trend; 4) Demonstrate that a large population of currently undetected low
mass ratio systems are not consistent with the current data; 5) Find that the
population of spectroscopic binaries must be be at least 30% that of currently
known ultracool binaries. The best fit value for the overall M6 and later
binary frequency is ~20%-22%, of which only ~6% consists of currently
undetected companions with separations less than 1 AU. If this is correct, then
the upper limit of the ultracool binary population discovered to date is ~75%.
I find that the numerical simulation results of the ejection formation method
are inconsistent with the outcome of this analysis. However, dynamics do seem
to play an important role as simulations of small-N clusters and triple system
decays produce results similar to those of this work. The observational efforts
required to improve these constraints are shown to be primarily large
spectroscopic binary surveys and improved high-resolution imaging techniques.
| astro-ph | i have undertaken a comprehensive statistical investigation of the ultracool dwarf companion distribution spectral type m6 and later utilizing a bayesian algorithm i tested models of the companion distribution against data from an extensive set of space and groundbased imaging observations of nearby ultracool dwarfs my main conclusions are fivefold 1 confirm that the concentration of high mass ratio ultracool binary systems is a fundamental feature of the companion distribution not an observational or selection bias 2 determine that the wide 20 au binary frequency can be no more the 12 3 show that the decreasing binary frequency with later spectral types is a real trend 4 demonstrate that a large population of currently undetected low mass ratio systems are not consistent with the current data 5 find that the population of spectroscopic binaries must be be at least 30 that of currently known ultracool binaries the best fit value for the overall m6 and later binary frequency is 2022 of which only 6 consists of currently undetected companions with separations less than 1 au if this is correct then the upper limit of the ultracool binary population discovered to date is 75 i find that the numerical simulation results of the ejection formation method are inconsistent with the outcome of this analysis however dynamics do seem to play an important role as simulations of smalln clusters and triple system decays produce results similar to those of this work the observational efforts required to improve these constraints are shown to be primarily large spectroscopic binary surveys and improved highresolution imaging techniques | [['i', 'have', 'undertaken', 'a', 'comprehensive', 'statistical', 'investigation', 'of', 'the', 'ultracool', 'dwarf', 'companion', 'distribution', 'spectral', 'type', 'm6', 'and', 'later', 'utilizing', 'a', 'bayesian', 'algorithm', 'i', 'tested', 'models', 'of', 'the', 'companion', 'distribution', 'against', 'data', 'from', 'an', 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707.2065 | Dynamics of polarization buildup by spin filtering | There has been much recent research into polarizing an antiproton beam,
instigated by the recent proposal from the PAX (Polarized Antiproton
eXperiment) project at GSI Darmstadt. It plans to polarize an antiproton beam
by repeated interaction with a polarized internal target in a storage ring. The
method of polarization by spin filtering requires many of the beam particles to
remain within the ring after scattering off the polarized internal target via
electromagnetic and hadronic interactions. We present and solve sets of
differential equations which describe the buildup of polarization by spin
filtering in many different scenarios of interest to projects planning to
produce high intensity polarized beams. These scenarios are: 1) spin filtering
of a fully stored beam, 2) spin filtering while the beam is being accumulated,
i.e. unpolarized particles are continuously being fed into the beam, 3) the
particle input rate is equal to the rate at which particles are being lost due
to scattering beyond ring acceptance angle, the beam intensity remaining
constant, 4) increasing the initial polarization of a stored beam by spin
filtering, 5) the input of particles into the beam is stopped after a certain
amount of time, but spin filtering continues. The rate of depolarization of a
stored polarized beam on passing through an electron cooler is also shown to be
negligible.
| hep-ph | there has been much recent research into polarizing an antiproton beam instigated by the recent proposal from the pax polarized antiproton experiment project at gsi darmstadt it plans to polarize an antiproton beam by repeated interaction with a polarized internal target in a storage ring the method of polarization by spin filtering requires many of the beam particles to remain within the ring after scattering off the polarized internal target via electromagnetic and hadronic interactions we present and solve sets of differential equations which describe the buildup of polarization by spin filtering in many different scenarios of interest to projects planning to produce high intensity polarized beams these scenarios are 1 spin filtering of a fully stored beam 2 spin filtering while the beam is being accumulated ie unpolarized particles are continuously being fed into the beam 3 the particle input rate is equal to the rate at which particles are being lost due to scattering beyond ring acceptance angle the beam intensity remaining constant 4 increasing the initial polarization of a stored beam by spin filtering 5 the input of particles into the beam is stopped after a certain amount of time but spin filtering continues the rate of depolarization of a stored polarized beam on passing through an electron cooler is also shown to be negligible | [['there', 'has', 'been', 'much', 'recent', 'research', 'into', 'polarizing', 'an', 'antiproton', 'beam', 'instigated', 'by', 'the', 'recent', 'proposal', 'from', 'the', 'pax', 'polarized', 'antiproton', 'experiment', 'project', 'at', 'gsi', 'darmstadt', 'it', 'plans', 'to', 'polarize', 'an', 'antiproton', 'beam', 'by', 'repeated', 'interaction', 'with', 'a', 'polarized', 'internal', 'target', 'in', 'a', 'storage', 'ring', 'the', 'method', 'of', 'polarization', 'by', 'spin', 'filtering', 'requires', 'many', 'of', 'the', 'beam', 'particles', 'to', 'remain', 'within', 'the', 'ring', 'after', 'scattering', 'off', 'the', 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707.2066 | High p_T Top Quarks at the Large Hadron Collider | Many new physics models predict resonances with masses in the TeV range which
decay into a pair of top quarks. With its large cross section, t\bar t
production at the Large Hadron Collider (LHC) offers an excellent opportunity
to search for such particles. The identification of very energetic top quarks
is crucial in such an analysis. We consider in detail the t\bar t\to\ell^\pm\nu
b\bar bq\bar q' (\ell=e, \mu) final state for high p_T top quarks. In this
phase space region, two or more of the final state quarks can merge into a
single jet due to the large Lorentz boost of the parent top quark. As a result,
a large fraction of t\bar t\to\ell^\pm\nu b\bar bq\bar q' events with an
invariant mass in the TeV region contains less than four observable jets.
Requiring one or two tagged b-quarks, we calculate the W+jets, Wb+jets, Wb\bar
b+jets, Wbt, and single top plus jets backgrounds for these final states, and
identify cuts which help to suppress them. In particular, we discuss whether a
cut on the jet invariant mass may be useful in reducing the background in the
\ell\nu+2 jets channel. We also investigate how next-to-leading order QCD
corrections affect high p_T top quark production at the LHC. We find that the
\ell\nu+2 jets and \ell\nu+3 jets final states with one or two $b$-tags will
significantly improve the chances for discovering new heavy particles in the
t\bar t channel at the LHC.
| hep-ph | many new physics models predict resonances with masses in the tev range which decay into a pair of top quarks with its large cross section tbar t production at the large hadron collider lhc offers an excellent opportunity to search for such particles the identification of very energetic top quarks is crucial in such an analysis we consider in detail the tbar ttoellpmnu bbar bqbar q elle mu final state for high p_t top quarks in this phase space region two or more of the final state quarks can merge into a single jet due to the large lorentz boost of the parent top quark as a result a large fraction of tbar ttoellpmnu bbar bqbar q events with an invariant mass in the tev region contains less than four observable jets requiring one or two tagged bquarks we calculate the wjets wbjets wbbar bjets wbt and single top plus jets backgrounds for these final states and identify cuts which help to suppress them in particular we discuss whether a cut on the jet invariant mass may be useful in reducing the background in the ellnu2 jets channel we also investigate how nexttoleading order qcd corrections affect high p_t top quark production at the lhc we find that the ellnu2 jets and ellnu3 jets final states with one or two btags will significantly improve the chances for discovering new heavy particles in the tbar t channel at the lhc | [['many', 'new', 'physics', 'models', 'predict', 'resonances', 'with', 'masses', 'in', 'the', 'tev', 'range', 'which', 'decay', 'into', 'a', 'pair', 'of', 'top', 'quarks', 'with', 'its', 'large', 'cross', 'section', 'tbar', 't', 'production', 'at', 'the', 'large', 'hadron', 'collider', 'lhc', 'offers', 'an', 'excellent', 'opportunity', 'to', 'search', 'for', 'such', 'particles', 'the', 'identification', 'of', 'very', 'energetic', 'top', 'quarks', 'is', 'crucial', 'in', 'such', 'an', 'analysis', 'we', 'consider', 'in', 'detail', 'the', 'tbar', 'ttoellpmnu', 'bbar', 'bqbar', 'q', 'elle', 'mu', 'final', 'state', 'for', 'high', 'p_t', 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707.2067 | On the mass of the neutron star in V395 Car/2S 0921-630 | We report high-resolution optical spectroscopy of the low-mass X-ray binary
V395 Car/2S 0921-630 obtained with the MIKE echelle spectrograph on the
Magellan-Clay telescope. Our spectra are obtained near superior conjunction of
the mass donor star and we exploit the absorption lines originating from the
back-side of the K-type object to accurately derive its rotational velocity.
Using K0-K1 III templates, we find vsini=32.9 +/- 0.8 km/s. We show that the
choice of template star and the assumed limb darkening coefficient has little
impact on the derived rotational velocity. This value is a significant revision
downwards compared to previously published values. We derive new system
parameter constraints in the light of our much lower rotational velocity. We
find M_1=1.44 +/- 0.10 Msun, M_2=0.35 +/- 0.03 Msun, and q=0.24 +/- 0.02 where
the errors have been estimated through a Monte-Carlo simulation. A possible
remaining systematic effect is the fact that we may be over-estimating the
orbital velocity of the mass donor due to irradiation effects. However, any
correction for this effect will only reduce the compact object mass further,
down to a minimum mass of M_1=1.05 +/- 0.08 Msun. There is thus strong evidence
that the compact object in this binary is a neutron star of rather typical mass
and that the previously reported mass values of 2-4Msun were too high due to an
over-estimate of the rotational broadening.
| astro-ph | we report highresolution optical spectroscopy of the lowmass xray binary v395 car2s 0921630 obtained with the mike echelle spectrograph on the magellanclay telescope our spectra are obtained near superior conjunction of the mass donor star and we exploit the absorption lines originating from the backside of the ktype object to accurately derive its rotational velocity using k0k1 iii templates we find vsini329 08 kms we show that the choice of template star and the assumed limb darkening coefficient has little impact on the derived rotational velocity this value is a significant revision downwards compared to previously published values we derive new system parameter constraints in the light of our much lower rotational velocity we find m_1144 010 msun m_2035 003 msun and q024 002 where the errors have been estimated through a montecarlo simulation a possible remaining systematic effect is the fact that we may be overestimating the orbital velocity of the mass donor due to irradiation effects however any correction for this effect will only reduce the compact object mass further down to a minimum mass of m_1105 008 msun there is thus strong evidence that the compact object in this binary is a neutron star of rather typical mass and that the previously reported mass values of 24msun were too high due to an overestimate of the rotational broadening | [['we', 'report', 'highresolution', 'optical', 'spectroscopy', 'of', 'the', 'lowmass', 'xray', 'binary', 'v395', 'car2s', '0921630', 'obtained', 'with', 'the', 'mike', 'echelle', 'spectrograph', 'on', 'the', 'magellanclay', 'telescope', 'our', 'spectra', 'are', 'obtained', 'near', 'superior', 'conjunction', 'of', 'the', 'mass', 'donor', 'star', 'and', 'we', 'exploit', 'the', 'absorption', 'lines', 'originating', 'from', 'the', 'backside', 'of', 'the', 'ktype', 'object', 'to', 'accurately', 'derive', 'its', 'rotational', 'velocity', 'using', 'k0k1', 'iii', 'templates', 'we', 'find', 'vsini329', '08', 'kms', 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707.2068 | Effective potentials for heavy quarks above deconfinement | Using methods previously developed by Kelbg and others for creating effective
potentials for electron-ion plasmas, we investigate quarkonium potentials above
deconfinement. Using results for the internal energy of a static
quark-antiquark pair, a set of effective potentials are constructed that take
into account quantum effects and symmetry conditions. Bound state effects are
explicitly included in order to account for the strongly coupled nature of
plasmas. It is hoped that these effective potentials will be useful in
simulations of heavy quarks or plasma quasiparticles when the dynamics is
treated classically.
| nucl-th | using methods previously developed by kelbg and others for creating effective potentials for electronion plasmas we investigate quarkonium potentials above deconfinement using results for the internal energy of a static quarkantiquark pair a set of effective potentials are constructed that take into account quantum effects and symmetry conditions bound state effects are explicitly included in order to account for the strongly coupled nature of plasmas it is hoped that these effective potentials will be useful in simulations of heavy quarks or plasma quasiparticles when the dynamics is treated classically | [['using', 'methods', 'previously', 'developed', 'by', 'kelbg', 'and', 'others', 'for', 'creating', 'effective', 'potentials', 'for', 'electronion', 'plasmas', 'we', 'investigate', 'quarkonium', 'potentials', 'above', 'deconfinement', 'using', 'results', 'for', 'the', 'internal', 'energy', 'of', 'a', 'static', 'quarkantiquark', 'pair', 'a', 'set', 'of', 'effective', 'potentials', 'are', 'constructed', 'that', 'take', 'into', 'account', 'quantum', 'effects', 'and', 'symmetry', 'conditions', 'bound', 'state', 'effects', 'are', 'explicitly', 'included', 'in', 'order', 'to', 'account', 'for', 'the', 'strongly', 'coupled', 'nature', 'of', 'plasmas', 'it', 'is', 'hoped', 'that', 'these', 'effective', 'potentials', 'will', 'be', 'useful', 'in', 'simulations', 'of', 'heavy', 'quarks', 'or', 'plasma', 'quasiparticles', 'when', 'the', 'dynamics', 'is', 'treated', 'classically']] | [-0.0775766165276185, 0.25914261054607446, -0.10766027300004763, 0.16598523825946773, -0.011832772542468527, -0.16381574994672768, 0.0016531558384568516, 0.36986957102040335, -0.16918367892503738, -0.2602879286489703, 0.0017759150068741292, -0.26502272944675165, -0.07867351602710021, 0.16640251313748938, 0.0721050232373686, 0.056511240831406954, 0.06149076740257442, 0.003658349001356824, -0.012531861064913259, -0.25372496763752267, 0.34862834079699084, 0.04024407723045442, 0.22924571856856346, 0.15895939354562538, 0.043823670492698016, 0.018756370496703312, 0.021216782413169065, 0.0686217208382335, -0.09216903836270583, 0.040761038956010125, 0.24062427670948885, 0.03258228876405734, 0.21109003174669025, -0.48278179042972624, -0.2898236494617198, 0.06987822058991613, 0.15156228084842124, 0.16525841993015175, -0.05820267841177569, -0.2989273624156009, 0.06433437568326057, -0.1770194133807143, -0.15991341199895198, -0.1644149243207225, 0.0432452626992017, 0.015795531291091305, -0.32283117643303494, 0.07073111205119692, 0.03507693433030826, -0.002721769981276752, -0.09173380327940156, -0.12965676389814523, -0.014775494841160253, 0.08251951691272552, 0.009413678578725508, 0.0190311866463162, 0.157514298304291, -0.1592624505230395, -0.0921703256482777, 0.43019004542888567, -0.04731873511892362, -0.23795785382390022, 0.2008002299804833, -0.09330055339325388, -0.0931907903868705, 0.12167474200197664, 0.17534043168945407, 0.11352891323093156, -0.20511186395759234, 0.09844621165724345, 0.029773373971693218, 0.10514255172827026, 0.04342578988871537, 0.06136429150038483, 0.24625339185480366, 0.1222783496599401, -0.008475642362927001, 0.12207052009100815, 0.003644734377634119, -0.12335075748639858, -0.3239765986800194, -0.0926363367345237, -0.13498473927823149, 0.006409058252095499, -0.012145263777545717, -0.12626024588032372, 0.3807511091369882, 0.15417777099223298, 0.14302507586861876, -0.06086762332614109, 0.27224061807448213, 0.14804946099800212, 0.0540880823708986, 0.09669535864800723, 0.26802182841030037, 0.14819125645127232, 0.07572958299318668, -0.24802917471242836, -0.015150207338262011, 0.10715328209334984] |
707.2069 | Constant Mean Curvature Hypersurfaces in the (n+1)-Sphere by Gluing
Spherical Building Blocks | The techniques developed by Butscher in arXiv:math/0703469 for constructing
constant mean curvature (CMC) hypersurfaces in the (n+1)-sphere by gluing
together spherical building blocks are generalized to handle less symmetric
initial configurations. The outcome is that the approximately CMC hypersurface
obtained by gluing the initial configuration together can be perturbed into an
exactly CMC hypersurface only when certain global geometric conditions are met.
These `balancing conditions' are analogous to those that must be satisfied in
the `classical' context of gluing constructions of CMC hypersurfaces in
Euclidean space, although they are more restrictive in the (n+1)-sphere case.
An example of an initial configuration is given which demonstrates this fact;
and another example of an initial configuration is given which possesses no
symmetries at all.
| math.DG math.AP | the techniques developed by butscher in arxivmath0703469 for constructing constant mean curvature cmc hypersurfaces in the n1sphere by gluing together spherical building blocks are generalized to handle less symmetric initial configurations the outcome is that the approximately cmc hypersurface obtained by gluing the initial configuration together can be perturbed into an exactly cmc hypersurface only when certain global geometric conditions are met these balancing conditions are analogous to those that must be satisfied in the classical context of gluing constructions of cmc hypersurfaces in euclidean space although they are more restrictive in the n1sphere case an example of an initial configuration is given which demonstrates this fact and another example of an initial configuration is given which possesses no symmetries at all | [['the', 'techniques', 'developed', 'by', 'butscher', 'in', 'arxivmath0703469', 'for', 'constructing', 'constant', 'mean', 'curvature', 'cmc', 'hypersurfaces', 'in', 'the', 'n1sphere', 'by', 'gluing', 'together', 'spherical', 'building', 'blocks', 'are', 'generalized', 'to', 'handle', 'less', 'symmetric', 'initial', 'configurations', 'the', 'outcome', 'is', 'that', 'the', 'approximately', 'cmc', 'hypersurface', 'obtained', 'by', 'gluing', 'the', 'initial', 'configuration', 'together', 'can', 'be', 'perturbed', 'into', 'an', 'exactly', 'cmc', 'hypersurface', 'only', 'when', 'certain', 'global', 'geometric', 'conditions', 'are', 'met', 'these', 'balancing', 'conditions', 'are', 'analogous', 'to', 'those', 'that', 'must', 'be', 'satisfied', 'in', 'the', 'classical', 'context', 'of', 'gluing', 'constructions', 'of', 'cmc', 'hypersurfaces', 'in', 'euclidean', 'space', 'although', 'they', 'are', 'more', 'restrictive', 'in', 'the', 'n1sphere', 'case', 'an', 'example', 'of', 'an', 'initial', 'configuration', 'is', 'given', 'which', 'demonstrates', 'this', 'fact', 'and', 'another', 'example', 'of', 'an', 'initial', 'configuration', 'is', 'given', 'which', 'possesses', 'no', 'symmetries', 'at', 'all']] | [-0.17615119070882623, 0.12700683878752025, -0.08289135557460822, 0.08255511018724665, -0.05093217953608548, -0.1591757279397412, -0.08998502089742048, 0.3620401105173856, -0.22780351228011417, -0.2798813131968837, 0.15988875892684865, -0.21924654014162287, -0.11812238974789203, 0.18199674745883085, -0.15634043964659333, 0.030100087242678177, 0.09859100362855541, 0.062179189873859286, -0.08158713645082398, -0.3063648255332181, 0.3981762416853208, 0.031944064335889866, 0.21980494209988552, 0.0035021267061637455, 0.07964781077948115, 0.0006736896447221602, 0.043423580496441114, 0.07239774188814754, -0.16453936712564765, 0.0894437760945933, 0.22897676942285058, 0.11134309077650802, 0.20623464612982984, -0.433629827604683, -0.2054995412530362, 0.16220128339953904, 0.12536954064661068, 0.10737098365337087, -0.030069640882468152, -0.2878699599214914, 0.11020829932656416, -0.05862217464230277, -0.2167720632389003, -0.06917871801232657, -0.020622211839418765, -0.006239645136905111, -0.2433335751079577, 0.027125865548140993, 0.09339778957511337, 0.06103648200307873, -0.09731455221926132, -0.10093989575374102, -0.10746225614624083, 0.08663508030783178, 0.01486696208411566, 0.04656241423535076, 0.08137247542088683, -0.07399659885732411, -0.0474319791821532, 0.33879184056350514, -0.0024768511595373802, -0.299110642484243, 0.1387239581682096, -0.09170621581960561, -0.13661275349542007, 0.12140664061115793, 0.08995044052077472, 0.14579442519817717, -0.1549824972985522, 0.11847886960416616, -0.03999105658697749, 0.10512971330322479, 0.15491822498950583, -0.05054162538810999, 0.18915332511282903, 0.07454019170716282, 0.1351892245656326, 0.1366118793933814, 0.01601699140829165, -0.1542801474459654, -0.3665403131210853, -0.16678507073805476, -0.16962129376493856, 0.09099722760614039, -0.1549733832384958, -0.16512719360911401, 0.32199988743167157, 0.03522719909034839, 0.21456856476066033, 0.062212188608852054, 0.2482912443455093, 0.07186217725754154, 0.0837756536366064, 0.10291127402870338, 0.2168234559170486, 0.10816123357912417, 0.030189839245612957, -0.08640337485939356, 0.030806902784484724, 0.11004962513515772] |
707.207 | The cosmic 6Li and 7Li problems and BBN with long-lived charged massive
particles | Charged massive particles (CHAMPs), when present during the Big Bang
nucleosynthesis (BBN) era, may significantly alter the synthesis of light
elements when compared to a standard BBN scenario. This is due to the formation
of bound states with nuclei. This paper presents a detailed numerical and
analytical analysis of such CHAMP BBN. All reactions important for predicting
light-element yields are calculated within the Born approximation. Three
priorly neglected effects are treated in detail:(a) photodestruction of bound
states due to electromagnetic cascades induced by the CHAMP decay, (b)
late-time efficient destruction/production of H2, Li6, and Li7 due to reactions
on charge Z=1 nuclei bound to CHAMPs, and (c) CHAMP exchange between nuclei.
Each of these effects may induce orders-of-magnitude changes in the final
abundance yields. The study focusses on the impact of CHAMPs on a possible
simultaneous solution of the Li6 and Li7 problems. It is shown that a priorly
suggested simultaneous solution of the Li6 and Li7 problems for a relic
decaying at tau_x = 1000 sec is only very weakly dependent on the relic being
neutral or charged, unless its hadronic branching ratio is Bh << 10^-4 very
small. By use of a Monte-Carlo analysis it is shown that within CHAMP BBN the
existence of further parameter space for a simultaneous solution of the Li6 and
Li7 problem for long decay times tau_x > 10^6 sec seems possible but fairly
unlikely.
| astro-ph hep-ph | charged massive particles champs when present during the big bang nucleosynthesis bbn era may significantly alter the synthesis of light elements when compared to a standard bbn scenario this is due to the formation of bound states with nuclei this paper presents a detailed numerical and analytical analysis of such champ bbn all reactions important for predicting lightelement yields are calculated within the born approximation three priorly neglected effects are treated in detaila photodestruction of bound states due to electromagnetic cascades induced by the champ decay b latetime efficient destructionproduction of h2 li6 and li7 due to reactions on charge z1 nuclei bound to champs and c champ exchange between nuclei each of these effects may induce ordersofmagnitude changes in the final abundance yields the study focusses on the impact of champs on a possible simultaneous solution of the li6 and li7 problems it is shown that a priorly suggested simultaneous solution of the li6 and li7 problems for a relic decaying at tau_x 1000 sec is only very weakly dependent on the relic being neutral or charged unless its hadronic branching ratio is bh 104 very small by use of a montecarlo analysis it is shown that within champ bbn the existence of further parameter space for a simultaneous solution of the li6 and li7 problem for long decay times tau_x 106 sec seems possible but fairly unlikely | [['charged', 'massive', 'particles', 'champs', 'when', 'present', 'during', 'the', 'big', 'bang', 'nucleosynthesis', 'bbn', 'era', 'may', 'significantly', 'alter', 'the', 'synthesis', 'of', 'light', 'elements', 'when', 'compared', 'to', 'a', 'standard', 'bbn', 'scenario', 'this', 'is', 'due', 'to', 'the', 'formation', 'of', 'bound', 'states', 'with', 'nuclei', 'this', 'paper', 'presents', 'a', 'detailed', 'numerical', 'and', 'analytical', 'analysis', 'of', 'such', 'champ', 'bbn', 'all', 'reactions', 'important', 'for', 'predicting', 'lightelement', 'yields', 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707.2071 | Symmetric Informationally-Complete Quantum States as Analogues to
Orthonormal Bases and Minimum-Uncertainty States | Since Renes et al. [J. Math. Phys. 45, 2171 (2004)], there has been much
effort in the quantum information community to prove (or disprove) the
existence of symmetric informationally complete (SIC) sets of quantum states in
arbitrary finite dimension. This paper strengthens the urgency of this question
by showing that if SIC-sets exist: 1) by a natural measure of orthonormality,
they are as close to being an orthonormal basis for the space of density
operators as possible, and 2) in prime dimensions, the standard construction
for complete sets of mutually unbiased bases and Weyl-Heisenberg covariant
SIC-sets are intimately related: The latter represent minimum uncertainty
states for the former in the sense of Wootters and Sussman. Finally, we
contribute to the question of existence by conjecturing a quadratic redundancy
in the equations for Weyl-Heisenberg SIC-sets.
| quant-ph | since renes et al j math phys 45 2171 2004 there has been much effort in the quantum information community to prove or disprove the existence of symmetric informationally complete sic sets of quantum states in arbitrary finite dimension this paper strengthens the urgency of this question by showing that if sicsets exist 1 by a natural measure of orthonormality they are as close to being an orthonormal basis for the space of density operators as possible and 2 in prime dimensions the standard construction for complete sets of mutually unbiased bases and weylheisenberg covariant sicsets are intimately related the latter represent minimum uncertainty states for the former in the sense of wootters and sussman finally we contribute to the question of existence by conjecturing a quadratic redundancy in the equations for weylheisenberg sicsets | [['since', 'renes', 'et', 'al', 'j', 'math', 'phys', '45', '2171', '2004', 'there', 'has', 'been', 'much', 'effort', 'in', 'the', 'quantum', 'information', 'community', 'to', 'prove', 'or', 'disprove', 'the', 'existence', 'of', 'symmetric', 'informationally', 'complete', 'sic', 'sets', 'of', 'quantum', 'states', 'in', 'arbitrary', 'finite', 'dimension', 'this', 'paper', 'strengthens', 'the', 'urgency', 'of', 'this', 'question', 'by', 'showing', 'that', 'if', 'sicsets', 'exist', '1', 'by', 'a', 'natural', 'measure', 'of', 'orthonormality', 'they', 'are', 'as', 'close', 'to', 'being', 'an', 'orthonormal', 'basis', 'for', 'the', 'space', 'of', 'density', 'operators', 'as', 'possible', 'and', '2', 'in', 'prime', 'dimensions', 'the', 'standard', 'construction', 'for', 'complete', 'sets', 'of', 'mutually', 'unbiased', 'bases', 'and', 'weylheisenberg', 'covariant', 'sicsets', 'are', 'intimately', 'related', 'the', 'latter', 'represent', 'minimum', 'uncertainty', 'states', 'for', 'the', 'former', 'in', 'the', 'sense', 'of', 'wootters', 'and', 'sussman', 'finally', 'we', 'contribute', 'to', 'the', 'question', 'of', 'existence', 'by', 'conjecturing', 'a', 'quadratic', 'redundancy', 'in', 'the', 'equations', 'for', 'weylheisenberg', 'sicsets']] | [-0.10870406095550131, 0.12952355988796735, -0.03496786153096872, 0.049441586531796006, -0.04976124608882272, -0.1055676869999395, 0.039693710405497684, 0.31632665384720676, -0.2245460004378944, -0.267620864998438, 0.08165619957239938, -0.2618977626048918, -0.14358181887612081, 0.14975566799151224, -0.1252885023774857, 0.046989513090255654, 0.03431406145421927, 0.03396541284008035, -0.06372761881672222, -0.31066447428302535, 0.33895292734977467, 0.06565740573699516, 0.24616861714457627, 0.033952573533239425, 0.07848760459759731, 0.02550453158206682, -0.060412555858718735, -0.012940318650546928, -0.14137957999753156, 0.1342487031456653, 0.29789464300456664, 0.16286805556190492, 0.26675050167033254, -0.3599876949091011, -0.1692827723904273, 0.1492299541184651, 0.09381039527367797, 0.09514380513982319, 0.0014502473832316586, -0.2878040264051324, 0.08734245119493024, -0.155503243517214, -0.15247511194059765, -0.10607006858492186, 0.11169536502635691, -0.043628627566426104, -0.27211355191738856, 0.09847041008535272, 0.13147947893464076, 0.0837477534547198, -0.029523557510727376, -0.12057283740150117, -0.0338600997729644, 0.06734610780110972, -0.03099913808687437, 0.05664974175577761, 0.02189160488092396, -0.042707824228164645, -0.18763573444882797, 0.3444277819683914, -0.005955912367833445, -0.2210511210749843, 0.1749857524687897, -0.13097784266313678, -0.1356464892472905, 0.07529643589588153, 0.10649849467783985, 0.10346045123357604, -0.11801996718702921, 0.15069187344477594, -0.1152672984944865, 0.11130569558312643, 0.15068617020386146, 0.08248394633532126, 0.1669374001907435, 0.04952207030450453, 0.10083001448925752, 0.10969465706191624, 0.03244905370989564, -0.09706596090065649, -0.3059107108604608, -0.20155848239382568, -0.2013049991384371, 0.08931651425898882, -0.03576051101095908, -0.1565805083599442, 0.3482475612389007, 0.10438741534712043, 0.16669451618161393, 0.032139177517548426, 0.189929393902004, 0.07730031661070716, 0.028288347306904563, 0.12403181980628131, 0.23631340290294656, 0.1827538346423448, 0.017909603362812648, -0.1589417866767391, 0.023636574874312352, 0.08814081624880044] |
707.2072 | Evidence for gapped spin-wave excitations in the frustrated Gd2Sn2O7
pyrochlore antiferromagnet from low-temperature specific heat measurements | We have measured the low-temperature specific heat of the geometrically
frustrated pyrochlore Heisenberg antiferromagnet Gd2Sn2O7 in zero magnetic
field. The specific heat is found to drop exponentially below approximately 350
mK. This provides evidence for a gapped spin-wave spectrum due to an anisotropy
resulting from single ion effects and long-range dipolar interactions. The data
are well fitted by linear spin-wave theory, ruling out unconventional low
energy magnetic excitations in this system, and allowing a determination of the
pertinent exchange interactions in this material.
| cond-mat.stat-mech | we have measured the lowtemperature specific heat of the geometrically frustrated pyrochlore heisenberg antiferromagnet gd2sn2o7 in zero magnetic field the specific heat is found to drop exponentially below approximately 350 mk this provides evidence for a gapped spinwave spectrum due to an anisotropy resulting from single ion effects and longrange dipolar interactions the data are well fitted by linear spinwave theory ruling out unconventional low energy magnetic excitations in this system and allowing a determination of the pertinent exchange interactions in this material | [['we', 'have', 'measured', 'the', 'lowtemperature', 'specific', 'heat', 'of', 'the', 'geometrically', 'frustrated', 'pyrochlore', 'heisenberg', 'antiferromagnet', 'gd2sn2o7', 'in', 'zero', 'magnetic', 'field', 'the', 'specific', 'heat', 'is', 'found', 'to', 'drop', 'exponentially', 'below', 'approximately', '350', 'mk', 'this', 'provides', 'evidence', 'for', 'a', 'gapped', 'spinwave', 'spectrum', 'due', 'to', 'an', 'anisotropy', 'resulting', 'from', 'single', 'ion', 'effects', 'and', 'longrange', 'dipolar', 'interactions', 'the', 'data', 'are', 'well', 'fitted', 'by', 'linear', 'spinwave', 'theory', 'ruling', 'out', 'unconventional', 'low', 'energy', 'magnetic', 'excitations', 'in', 'this', 'system', 'and', 'allowing', 'a', 'determination', 'of', 'the', 'pertinent', 'exchange', 'interactions', 'in', 'this', 'material']] | [-0.1836550378174723, 0.2539348312646939, -0.027855425984710903, 0.07623638686477151, -0.0970504606080926, -0.15144201876393643, 0.0654019778973075, 0.35686591736613266, -0.2825582114129653, -0.3120430920901428, 0.021977460835162686, -0.36445234814681204, -0.026896831592129744, 0.18945829050492002, 0.11248464050915945, 0.007963630202484417, -0.036431959420666994, 0.023076006792014443, -0.07505320900972619, -0.1581114195679954, 0.23395380338496832, 0.08266481640768404, 0.2908879246293421, 0.11746459126090968, 0.04876050575361419, 0.017381644717989916, 0.11143291511820806, 0.01238932398832347, -0.18530996245926762, 0.03852903635342078, 0.26353416279945746, -0.14756745275065122, 0.15328923567950006, -0.4187666905078902, -0.2253863546598972, 0.037290238657494985, 0.17489812683022346, 0.16072559261313044, -0.03775909324793751, -0.25400126244064913, -0.020131914242428828, -0.18410430339176254, -0.12426664187090404, -0.1603440307305161, -0.056557112579593005, -0.01044520381164838, -0.23654414194983892, 0.1701865896739694, 0.10643634511612311, 0.16624213843914984, -0.11102158761953554, -0.10155503552670714, -0.05276685674024005, 0.04372213627155646, 0.07251432267331843, 0.06702385072495384, 0.1446086253679122, -0.10529773547987353, -0.09433414023481758, 0.3453241066266614, -0.08299869257137628, -0.09424639641340957, 0.1467609841359712, -0.19272485054771316, -0.07655293509891503, 0.19995647873056221, 0.10773351524762967, 0.051261229838906644, -0.18374633331816778, 0.08694446575161664, -0.005556775554341365, 0.19187980085697778, -0.026581256487687308, 0.05186509190643408, 0.3056883434484522, 0.17132371782005418, 0.00671099354400782, 0.1960271034932889, -0.11756555831599111, -0.07914322799251201, -0.23374165572136282, -0.10851456156191248, -0.2281102763477668, 0.08525807706706495, -0.09904529724840962, -0.18104181946984615, 0.3649518095091524, 0.14001879154133656, 0.17351104671707804, -0.07063541186776037, 0.24329757774024305, 0.10049120530890054, 0.08179913462891457, 0.09181165939241827, 0.26912253866174135, 0.21417292284902678, 0.15594045981675028, -0.302052262281236, 0.015881016839250743, -0.037703129460793884] |
707.2073 | Use of negative capacitance to provide a sub-threshold slope lower than
60 mV/decade | It is well known that conventional Field Effect Transistors (FET's) require a
change in the channel potential of at least 60 mV at 300K to effect a change in
the current by a factor of ten, and this minimum subthreshold slope S puts a
lower limit of fundamental nature on the operating voltage and hence the power
dissipation in standard FET based switches. Here we show that by replacing the
standard insulator with a ferroelectric insulator of the right thickness it
should be possible to implement a step-up voltage transformer that will amplify
the gate voltage thus leading to values of S lower than 60 mV/decade and
enabling low voltage/low power operation. The voltage transformer action can be
understood intuitively as the result of an effective negative capacitance
provided by the ferroelectric capacitor which arises from an internal positive
feedback that in principle could be obtained from other microscopic mechanisms
as well. Unlike other proposals to reduce S this involves no change in the
basic physics of the FET and thus does not affect its current drive or impose
other restrictions.
| cond-mat.mes-hall | it is well known that conventional field effect transistors fets require a change in the channel potential of at least 60 mv at 300k to effect a change in the current by a factor of ten and this minimum subthreshold slope s puts a lower limit of fundamental nature on the operating voltage and hence the power dissipation in standard fet based switches here we show that by replacing the standard insulator with a ferroelectric insulator of the right thickness it should be possible to implement a stepup voltage transformer that will amplify the gate voltage thus leading to values of s lower than 60 mvdecade and enabling low voltagelow power operation the voltage transformer action can be understood intuitively as the result of an effective negative capacitance provided by the ferroelectric capacitor which arises from an internal positive feedback that in principle could be obtained from other microscopic mechanisms as well unlike other proposals to reduce s this involves no change in the basic physics of the fet and thus does not affect its current drive or impose other restrictions | [['it', 'is', 'well', 'known', 'that', 'conventional', 'field', 'effect', 'transistors', 'fets', 'require', 'a', 'change', 'in', 'the', 'channel', 'potential', 'of', 'at', 'least', '60', 'mv', 'at', '300k', 'to', 'effect', 'a', 'change', 'in', 'the', 'current', 'by', 'a', 'factor', 'of', 'ten', 'and', 'this', 'minimum', 'subthreshold', 'slope', 's', 'puts', 'a', 'lower', 'limit', 'of', 'fundamental', 'nature', 'on', 'the', 'operating', 'voltage', 'and', 'hence', 'the', 'power', 'dissipation', 'in', 'standard', 'fet', 'based', 'switches', 'here', 'we', 'show', 'that', 'by', 'replacing', 'the', 'standard', 'insulator', 'with', 'a', 'ferroelectric', 'insulator', 'of', 'the', 'right', 'thickness', 'it', 'should', 'be', 'possible', 'to', 'implement', 'a', 'stepup', 'voltage', 'transformer', 'that', 'will', 'amplify', 'the', 'gate', 'voltage', 'thus', 'leading', 'to', 'values', 'of', 's', 'lower', 'than', '60', 'mvdecade', 'and', 'enabling', 'low', 'voltagelow', 'power', 'operation', 'the', 'voltage', 'transformer', 'action', 'can', 'be', 'understood', 'intuitively', 'as', 'the', 'result', 'of', 'an', 'effective', 'negative', 'capacitance', 'provided', 'by', 'the', 'ferroelectric', 'capacitor', 'which', 'arises', 'from', 'an', 'internal', 'positive', 'feedback', 'that', 'in', 'principle', 'could', 'be', 'obtained', 'from', 'other', 'microscopic', 'mechanisms', 'as', 'well', 'unlike', 'other', 'proposals', 'to', 'reduce', 's', 'this', 'involves', 'no', 'change', 'in', 'the', 'basic', 'physics', 'of', 'the', 'fet', 'and', 'thus', 'does', 'not', 'affect', 'its', 'current', 'drive', 'or', 'impose', 'other', 'restrictions']] | [-0.12605007101471224, 0.142980375297581, -0.04494542246684432, 0.005460710075244101, -0.09052432524945794, -0.21489871396269236, 0.11871439791025801, 0.3492143720944619, -0.27085233035290407, -0.33838254743669594, 0.0722032243172483, -0.24279314609658387, -0.11069924266064643, 0.25230369097650207, -0.0859108628394703, -0.01915207116229188, -0.03783817529329099, 0.03044462833010281, -0.0707526164753492, -0.1961289799073711, 0.23851205526023275, 0.07761778048524219, 0.31314172140814156, 0.09263628848905986, 0.08437395988860064, -0.05416750543194616, 0.06172492757646574, 0.05379840002149447, -0.06546118095769392, 0.03920695511365516, 0.2268919645394716, 0.026643882104609575, 0.2502007825946849, -0.4735171821485791, -0.21970859872073764, 0.052360263641458, 0.09553131186209309, 0.09746488893466045, -0.03153860969792327, -0.20890795143528118, 0.12396805503716071, -0.18176724389583493, -0.08570659408319949, -0.030413852665676838, 0.0191471894899021, 0.0003821642705285437, -0.2669560296279896, 0.05846431344511479, 0.0831139095806672, 0.029662465932779013, -0.025415189784770417, -0.14256361293114928, -0.04394648368025729, 0.10863272596810324, 0.029839682205864745, 0.06800922191792375, 0.2181261306292274, -0.14169892487568883, -0.13436167223327275, 0.3262361676703828, -0.07597379471707326, -0.15408164362630083, 0.15860024157607566, -0.16451386978021926, -0.026686694441984096, 0.11926171529727678, 0.10614086021151807, 0.06988483649798177, -0.13123284591565607, 0.06985068541139804, 0.036487386523125075, 0.19135966773416538, 0.08824967051494038, 0.06949791831882773, 0.23099416974000633, 0.18341949282783188, 0.09989475972640018, 0.11531936144359255, -0.07913241471008708, -0.016122843400484674, -0.28828568186403974, -0.12282829184550792, -0.1607453513580064, 0.12076506826835814, -0.06401917390079083, -0.1631380262448349, 0.4079968745665004, 0.17029186487456577, 0.18431517249749352, 0.013217561479218097, 0.3265615554422968, 0.16747503144175022, 0.14523175553056514, 0.03840237283018521, 0.2676354410023325, 0.11499041326783804, 0.12112529630410589, -0.24239039519905217, 0.10798883663697376, -0.026553364273503473] |
707.2074 | Top off the unparticle | The existence of an exactly scale invariant sector possessing a non-trivial
infrared fixed point at a higher energy scale and its possible communication
with the Standard Model particles through a heavy messenger sector has been
shown to lead to curious unparticle effects. We demonstrate that top physics at
the Tevatron can already constrain such theories. We also consider possible
improvements at the LHC and delineate some striking signatures.
| hep-ph | the existence of an exactly scale invariant sector possessing a nontrivial infrared fixed point at a higher energy scale and its possible communication with the standard model particles through a heavy messenger sector has been shown to lead to curious unparticle effects we demonstrate that top physics at the tevatron can already constrain such theories we also consider possible improvements at the lhc and delineate some striking signatures | [['the', 'existence', 'of', 'an', 'exactly', 'scale', 'invariant', 'sector', 'possessing', 'a', 'nontrivial', 'infrared', 'fixed', 'point', 'at', 'a', 'higher', 'energy', 'scale', 'and', 'its', 'possible', 'communication', 'with', 'the', 'standard', 'model', 'particles', 'through', 'a', 'heavy', 'messenger', 'sector', 'has', 'been', 'shown', 'to', 'lead', 'to', 'curious', 'unparticle', 'effects', 'we', 'demonstrate', 'that', 'top', 'physics', 'at', 'the', 'tevatron', 'can', 'already', 'constrain', 'such', 'theories', 'we', 'also', 'consider', 'possible', 'improvements', 'at', 'the', 'lhc', 'and', 'delineate', 'some', 'striking', 'signatures']] | [-0.09210723305894884, 0.19389417589670355, -0.11281732512939283, 0.15122579627067728, -0.0832515377585557, -0.17164399409803616, 0.004505740471786875, 0.30938381956451955, -0.26296366314294145, -0.32197792492532995, 0.06567275805590565, -0.30500800277599516, -0.11093796018565841, 0.14149089703363749, 0.030517037266262752, 0.06146309616451617, 0.019387132227968645, 0.05967756868887912, -0.0703449284312014, -0.22625081515391632, 0.28359824636101943, 0.08478138730039492, 0.22274941684308408, 0.15461104008478715, 0.1300196961965412, -0.05746767532614553, 0.008335951643804199, -0.02592539124409942, -0.12230092855840186, 0.035617907004266536, 0.19349771458655596, 0.05183649705566709, 0.18371350861750269, -0.3985112277681337, -0.20121752098202705, 0.17825415184009163, 0.13847980352447314, 0.12443652636755038, -0.10180281138266711, -0.28113698974416096, 0.10204266067996608, -0.20229453231920214, -0.19225940919782528, -0.07676365405238945, -0.023105749312569115, -0.11115397912148825, -0.2714460698154974, 0.022228886126386523, -0.04784954412538996, 0.05688494112452164, 0.026969022759551403, -0.12242009931052213, -0.07408738782054142, 0.06357434068751686, 0.13507390557445914, 0.005118032013449599, 0.13916184432695017, -0.19137679979972103, -0.1790901751476614, 0.3926374339224661, -0.10199704219806283, -0.1508049464181942, 0.2773889245958451, -0.17949951179873416, -0.19815753115450635, 0.11251410383128506, 0.18693502417847732, 0.04422023900620201, -0.14560957909698652, 0.18416760234429283, -0.056171226808253455, 0.1592852287871852, 0.09359580656404004, 0.1126602967201239, 0.2928942946018651, 0.17132987562731347, 0.07352168622481473, 0.0943239036920097, -0.08443189592114375, -0.0913667901271872, -0.3864932339090635, -0.10904158825766952, -0.09493615255718503, 0.019341553893515512, -0.07294482100876527, -0.08036391791906414, 0.40386113825747194, 0.1788834176806952, 0.22735203875858775, 0.004740484990179539, 0.24187653826768785, 0.08537499288863995, 0.12932629060164533, 0.07478609749609057, 0.3080019661150907, 0.0390814024653724, 0.11513476470923599, -0.20170803287285655, 0.011111711857237798, 0.02076249847681645] |
707.2075 | Fractalization drives crystalline states in a frustrated spin system | We measure a sequence of quantum Hall-like plateaux at 1/q: 9 >= q >= 2 and
p/q = 2/9 fractions in the magnetisation with increasing magnetic field in the
geometrically frustrated spin system SrCu2(BO3)2. We find that the entire
observed sequence of plateaux is reproduced by solving the Hofstadter problem
on the system lattice when short-range repulsive interactions are included,
thus providing a sterling demonstration of bosons confined by a magnetic and
lattice potential mimicking fermions in the extreme quantum limit.
| cond-mat.str-el | we measure a sequence of quantum halllike plateaux at 1q 9 q 2 and pq 29 fractions in the magnetisation with increasing magnetic field in the geometrically frustrated spin system srcu2bo32 we find that the entire observed sequence of plateaux is reproduced by solving the hofstadter problem on the system lattice when shortrange repulsive interactions are included thus providing a sterling demonstration of bosons confined by a magnetic and lattice potential mimicking fermions in the extreme quantum limit | [['we', 'measure', 'a', 'sequence', 'of', 'quantum', 'halllike', 'plateaux', 'at', '1q', '9', 'q', '2', 'and', 'pq', '29', 'fractions', 'in', 'the', 'magnetisation', 'with', 'increasing', 'magnetic', 'field', 'in', 'the', 'geometrically', 'frustrated', 'spin', 'system', 'srcu2bo32', 'we', 'find', 'that', 'the', 'entire', 'observed', 'sequence', 'of', 'plateaux', 'is', 'reproduced', 'by', 'solving', 'the', 'hofstadter', 'problem', 'on', 'the', 'system', 'lattice', 'when', 'shortrange', 'repulsive', 'interactions', 'are', 'included', 'thus', 'providing', 'a', 'sterling', 'demonstration', 'of', 'bosons', 'confined', 'by', 'a', 'magnetic', 'and', 'lattice', 'potential', 'mimicking', 'fermions', 'in', 'the', 'extreme', 'quantum', 'limit']] | [-0.20975369858579376, 0.26940992823204934, -0.006558428847571262, 0.08623836102495448, 0.015291097502295788, -0.16525887774948317, 0.050387735451714925, 0.34482770427488363, -0.24033996380435732, -0.3068503920848553, 0.037198304486735605, -0.3084724845173649, -0.10677261395381393, 0.16272617943393877, 0.06367115691029586, 0.013370216325617945, -0.006861495439154215, 0.005527230928866909, -0.02410927464743742, -0.2571180086218728, 0.26922266209163725, -0.042368128397263206, 0.1983979700419765, 0.06287405384883198, 0.06831706895564611, 0.0554030712079018, 0.11190807907125698, 0.0212888434344234, -0.1417141770769563, 0.022975818324201286, 0.17861023700485626, -0.07780205968839045, 0.18382075352546495, -0.3896722663910343, -0.16262869122557533, 0.06812552394321522, 0.1976536792338802, 0.12373169786177385, -0.05203290750087502, -0.2821095540689734, 0.030052379090100143, -0.14815706505965537, -0.1447199883345419, -0.08695801123618506, 0.008809792415913528, 0.006956150212014715, -0.28007706870826393, 0.13895751145453408, 0.08606998849278077, 0.15509585196223968, -0.09098609614496429, -0.10195398469640611, -0.03035395215743054, 0.06860582711875068, 0.007921277458827274, 0.10282511201997598, 0.13785793361230156, -0.17094379952789332, -0.1613276495705717, 0.38434911280488354, -0.04726588211428279, -0.1385435436685116, 0.13536832600426024, -0.2241979271848089, -0.1106701524844632, 0.1548017755819437, 0.11278640378553134, 0.046232659089116335, -0.08255607309808674, 0.12642013370984784, -0.04125490083765143, 0.16561118685282195, 0.0024165128214428057, 0.01851847577535619, 0.29758775644959545, 0.14003614671879078, 0.013995919806452898, 0.1946258386119436, -0.0968775799862133, -0.13846438688834986, -0.25237465273284426, -0.12056510574303758, -0.25213401880449593, 0.10549688175057945, -0.09881378224870274, -0.15934037288221028, 0.3624461582169319, 0.11442785075483605, 0.21430133758351588, -0.006592223473443226, 0.20965911615162325, 0.11474928062839004, 0.05098057434737805, 0.04948094343312849, 0.21517209013929972, 0.1593057595921728, 0.11875376609774928, -0.27677132018531364, -0.03885347688218388, 0.06368013916728206] |
707.2076 | Node similarity within subgraphs of protein interaction networks | We propose a biologically motivated quantity, twinness, to evaluate local
similarity between nodes in a network. The twinness of a pair of nodes is the
number of connected, labeled subgraphs of size n in which the two nodes possess
identical neighbours. The graph animal algorithm is used to estimate twinness
for each pair of nodes (for subgraph sizes n=4 to n=12) in four different
protein interaction networks (PINs). These include an Escherichia coli PIN and
three Saccharomyces cerevisiae PINs -- each obtained using state-of-the-art
high throughput methods. In almost all cases, the average twinness of node
pairs is vastly higher than expected from a null model obtained by switching
links. For all n, we observe a difference in the ratio of type A twins (which
are unlinked pairs) to type B twins (which are linked pairs) distinguishing the
prokaryote E. coli from the eukaryote S. cerevisiae. Interaction similarity is
expected due to gene duplication, and whole genome duplication paralogues in S.
cerevisiae have been reported to co-cluster into the same complexes. Indeed, we
find that these paralogous proteins are over-represented as twins compared to
pairs chosen at random. These results indicate that twinness can detect
ancestral relationships from currently available PIN data.
| q-bio.MN cond-mat.stat-mech | we propose a biologically motivated quantity twinness to evaluate local similarity between nodes in a network the twinness of a pair of nodes is the number of connected labeled subgraphs of size n in which the two nodes possess identical neighbours the graph animal algorithm is used to estimate twinness for each pair of nodes for subgraph sizes n4 to n12 in four different protein interaction networks pins these include an escherichia coli pin and three saccharomyces cerevisiae pins each obtained using stateoftheart high throughput methods in almost all cases the average twinness of node pairs is vastly higher than expected from a null model obtained by switching links for all n we observe a difference in the ratio of type a twins which are unlinked pairs to type b twins which are linked pairs distinguishing the prokaryote e coli from the eukaryote s cerevisiae interaction similarity is expected due to gene duplication and whole genome duplication paralogues in s cerevisiae have been reported to cocluster into the same complexes indeed we find that these paralogous proteins are overrepresented as twins compared to pairs chosen at random these results indicate that twinness can detect ancestral relationships from currently available pin data | [['we', 'propose', 'a', 'biologically', 'motivated', 'quantity', 'twinness', 'to', 'evaluate', 'local', 'similarity', 'between', 'nodes', 'in', 'a', 'network', 'the', 'twinness', 'of', 'a', 'pair', 'of', 'nodes', 'is', 'the', 'number', 'of', 'connected', 'labeled', 'subgraphs', 'of', 'size', 'n', 'in', 'which', 'the', 'two', 'nodes', 'possess', 'identical', 'neighbours', 'the', 'graph', 'animal', 'algorithm', 'is', 'used', 'to', 'estimate', 'twinness', 'for', 'each', 'pair', 'of', 'nodes', 'for', 'subgraph', 'sizes', 'n4', 'to', 'n12', 'in', 'four', 'different', 'protein', 'interaction', 'networks', 'pins', 'these', 'include', 'an', 'escherichia', 'coli', 'pin', 'and', 'three', 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'pairs', 'chosen', 'at', 'random', 'these', 'results', 'indicate', 'that', 'twinness', 'can', 'detect', 'ancestral', 'relationships', 'from', 'currently', 'available', 'pin', 'data']] | [-0.14474596350584762, 0.11998937817123079, 0.023971076823072507, 0.07713219624711201, -0.013315270101593342, -0.16529285985510797, 0.08428824909846298, 0.39222136218100784, -0.2451452983939089, -0.3111406934866682, -0.03047544611967169, -0.34951837913133205, -0.1574040515968227, 0.1397347048751544, -0.05252720130840317, -0.017501507662236692, 0.11404209781205282, 0.09128762998036109, 0.06406694601522758, -0.26468395083749785, 0.24624767001951114, -0.004932603648630902, 0.29262525411206297, -0.028455593977123498, 0.06557703296479303, -0.043395853803958745, -0.01892024272121489, 0.043556494495778676, -0.1303627210859122, 0.13446504223393277, 0.2863021838379791, 0.16136807662551292, 0.2194045984154218, -0.4096329125133343, -0.17376387265976517, 0.1765870297024958, 0.16710110993124544, 0.10691851383366156, 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707.2077 | Approximate zero-one laws and sharpness of the percolation transition in
a class of models including 2D Ising percolation | One of the most well-known classical results for site percolation on the
square lattice is the equation p_c + p_c^* = 1. In words, this equation means
that for all values different from p_c of the parameter p the following holds:
Either a.s. there is an infinite open cluster or a.s. there is an infinite
closed `star' cluster. This result is closely related to the percolation
transition being sharp: Below p_c the size of the open cluster of a given
vertex is not only (a.s.) finite, but has a distrubtion with an exponential
tail. The analog of this result has been proved by Higuchi in 1993 for
two-dimensional Ising percolation, with fixed inverse temparature beta <beta_c,
and as parameter the external field h.
Using sharp-threshold results (approximate zero-one laws) and a modification
of an RSW-like result by Bollobas and Riordan, we show that these results hold
for a large class of percolation models where the vertex values can be `nicely'
represented (in a sense which will be defined precisely) by i.i.d. random
variables. We point out that the ordinary percolation model belongs obviously
to this class, and we show that also the above mentionedIsing model belongs to
it.
We hope that our results improve insight in the Ising percolation model, and
will help to show that many other (not yet analyzed) weakly dependent
percolation models also belong to the abovementioned class.
| math.PR | one of the most wellknown classical results for site percolation on the square lattice is the equation p_c p_c 1 in words this equation means that for all values different from p_c of the parameter p the following holds either as there is an infinite open cluster or as there is an infinite closed star cluster this result is closely related to the percolation transition being sharp below p_c the size of the open cluster of a given vertex is not only as finite but has a distrubtion with an exponential tail the analog of this result has been proved by higuchi in 1993 for twodimensional ising percolation with fixed inverse temparature beta beta_c and as parameter the external field h using sharpthreshold results approximate zeroone laws and a modification of an rswlike result by bollobas and riordan we show that these results hold for a large class of percolation models where the vertex values can be nicely represented in a sense which will be defined precisely by iid random variables we point out that the ordinary percolation model belongs obviously to this class and we show that also the above mentionedising model belongs to it we hope that our results improve insight in the ising percolation model and will help to show that many other not yet analyzed weakly dependent percolation models also belong to the abovementioned class | [['one', 'of', 'the', 'most', 'wellknown', 'classical', 'results', 'for', 'site', 'percolation', 'on', 'the', 'square', 'lattice', 'is', 'the', 'equation', 'p_c', 'p_c', '1', 'in', 'words', 'this', 'equation', 'means', 'that', 'for', 'all', 'values', 'different', 'from', 'p_c', 'of', 'the', 'parameter', 'p', 'the', 'following', 'holds', 'either', 'as', 'there', 'is', 'an', 'infinite', 'open', 'cluster', 'or', 'as', 'there', 'is', 'an', 'infinite', 'closed', 'star', 'cluster', 'this', 'result', 'is', 'closely', 'related', 'to', 'the', 'percolation', 'transition', 'being', 'sharp', 'below', 'p_c', 'the', 'size', 'of', 'the', 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707.2078 | Quantum transport of Dirac electrons in graphene in the presence of a
spatially modulated magnetic field | We have investigated the electrical transport properties of Dirac electrons
in a monolayer graphene sheet in the presence of a perpendicular magnetic field
that is modulated weakly and periodically along one direction.We find that the
Landau levels broaden into bands and their width oscillates as a function of
the band index and the magnetic field.We determine the $\sigma_{yy}$ component
of the magnetoconductivity tensor for this system which is shown to exhibit
Weiss oscillations.We also determine analytically the asymptotic expressions
for $\sigma_{yy}$.We compare these results with recently obtained results for
electrically modulated graphene as well as those for magnetically modulated
conventional two-dimensional electron gas (2DEG) system.We find that in the
magnetically modulated graphene system cosidered in this work,Weiss
oscillations in $\sigma_{yy}$ have a reduced amplitude compared to the 2DEG but
are less damped by temperature while they have a higher amplitude than in the
electrically modulated graphene system. We also find that these oscillations
are out of phase by $\pi$ with those of the electrically modulated system while
they are in phase with those in the 2DEG system.
| cond-mat.mes-hall | we have investigated the electrical transport properties of dirac electrons in a monolayer graphene sheet in the presence of a perpendicular magnetic field that is modulated weakly and periodically along one directionwe find that the landau levels broaden into bands and their width oscillates as a function of the band index and the magnetic fieldwe determine the sigma_yy component of the magnetoconductivity tensor for this system which is shown to exhibit weiss oscillationswe also determine analytically the asymptotic expressions for sigma_yywe compare these results with recently obtained results for electrically modulated graphene as well as those for magnetically modulated conventional twodimensional electron gas 2deg systemwe find that in the magnetically modulated graphene system cosidered in this workweiss oscillations in sigma_yy have a reduced amplitude compared to the 2deg but are less damped by temperature while they have a higher amplitude than in the electrically modulated graphene system we also find that these oscillations are out of phase by pi with those of the electrically modulated system while they are in phase with those in the 2deg system | [['we', 'have', 'investigated', 'the', 'electrical', 'transport', 'properties', 'of', 'dirac', 'electrons', 'in', 'a', 'monolayer', 'graphene', 'sheet', 'in', 'the', 'presence', 'of', 'a', 'perpendicular', 'magnetic', 'field', 'that', 'is', 'modulated', 'weakly', 'and', 'periodically', 'along', 'one', 'directionwe', 'find', 'that', 'the', 'landau', 'levels', 'broaden', 'into', 'bands', 'and', 'their', 'width', 'oscillates', 'as', 'a', 'function', 'of', 'the', 'band', 'index', 'and', 'the', 'magnetic', 'fieldwe', 'determine', 'the', 'sigma_yy', 'component', 'of', 'the', 'magnetoconductivity', 'tensor', 'for', 'this', 'system', 'which', 'is', 'shown', 'to', 'exhibit', 'weiss', 'oscillationswe', 'also', 'determine', 'analytically', 'the', 'asymptotic', 'expressions', 'for', 'sigma_yywe', 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707.2079 | Nearly optimal embeddings of trees | In this paper we show how to find nearly optimal embeddings of large trees in
several natural classes of graphs. The size of the tree T can be as large as a
constant fraction of the size of the graph G, and the maximum degree of T can
be close to the minimum degree of G. For example, we prove that any graph of
minimum degree d without 4-cycles contains every tree of size \epsilon d^2 and
maximum degree at most (1-2\epsilon)d - 2. As there exist d-regular graphs
without 4-cycles of size O(d^2), this result is optimal up to constant factors.
We prove similar nearly tight results for graphs of given girth, graphs with no
complete bipartite subgraph K_{s,t}, random and certain pseudorandom graphs.
These results are obtained using a simple and very natural randomized embedding
algorithm, which can be viewed as a "self-avoiding tree-indexed random walk".
| math.CO math.PR | in this paper we show how to find nearly optimal embeddings of large trees in several natural classes of graphs the size of the tree t can be as large as a constant fraction of the size of the graph g and the maximum degree of t can be close to the minimum degree of g for example we prove that any graph of minimum degree d without 4cycles contains every tree of size epsilon d2 and maximum degree at most 12epsilond 2 as there exist dregular graphs without 4cycles of size od2 this result is optimal up to constant factors we prove similar nearly tight results for graphs of given girth graphs with no complete bipartite subgraph k_st random and certain pseudorandom graphs these results are obtained using a simple and very natural randomized embedding algorithm which can be viewed as a selfavoiding treeindexed random walk | [['in', 'this', 'paper', 'we', 'show', 'how', 'to', 'find', 'nearly', 'optimal', 'embeddings', 'of', 'large', 'trees', 'in', 'several', 'natural', 'classes', 'of', 'graphs', 'the', 'size', 'of', 'the', 'tree', 't', 'can', 'be', 'as', 'large', 'as', 'a', 'constant', 'fraction', 'of', 'the', 'size', 'of', 'the', 'graph', 'g', 'and', 'the', 'maximum', 'degree', 'of', 't', 'can', 'be', 'close', 'to', 'the', 'minimum', 'degree', 'of', 'g', 'for', 'example', 'we', 'prove', 'that', 'any', 'graph', 'of', 'minimum', 'degree', 'd', 'without', '4cycles', 'contains', 'every', 'tree', 'of', 'size', 'epsilon', 'd2', 'and', 'maximum', 'degree', 'at', 'most', '12epsilond', '2', 'as', 'there', 'exist', 'dregular', 'graphs', 'without', '4cycles', 'of', 'size', 'od2', 'this', 'result', 'is', 'optimal', 'up', 'to', 'constant', 'factors', 'we', 'prove', 'similar', 'nearly', 'tight', 'results', 'for', 'graphs', 'of', 'given', 'girth', 'graphs', 'with', 'no', 'complete', 'bipartite', 'subgraph', 'k_st', 'random', 'and', 'certain', 'pseudorandom', 'graphs', 'these', 'results', 'are', 'obtained', 'using', 'a', 'simple', 'and', 'very', 'natural', 'randomized', 'embedding', 'algorithm', 'which', 'can', 'be', 'viewed', 'as', 'a', 'selfavoiding', 'treeindexed', 'random', 'walk']] | [-0.1642020844395132, 0.16962523353310008, -0.0074277346354131015, 0.04684924403658417, -0.06844339961479481, -0.1549339369481608, 0.07779299067285499, 0.4071557323658864, -0.2749406004058235, -0.35279338245522485, 0.09553500170634473, -0.27099264187304534, -0.15897230892633535, 0.14286239178570576, -0.10004022033336533, 0.05468465915118816, 0.11810069044809533, 0.11899202748852437, 0.013567089726701889, -0.2996853322467658, 0.26521623142586687, 0.0005898460162140123, 0.16255622925173033, 0.08293308554957174, 0.09861147726809427, 0.013583759872931731, 0.03739165256999127, 0.11926700129518158, -0.17803910369403725, 0.05357380778439445, 0.2527618541761799, 0.16579936591793515, 0.22229939716396063, -0.3482633202282109, -0.15966587016926695, 0.2517957053759633, 0.11423935135826468, 0.12863957179368996, 0.01663243645253553, -0.18304879224718842, 0.16411887931522645, -0.08950352668483129, -0.11825322824928389, -0.02278051967413662, 0.06895125767037477, 0.018026115487597576, -0.2990149505219537, 0.00967192040335336, 0.13372652124205273, 0.05696289766299194, 0.09489597318126271, -0.17520102949124083, -0.04283044971398091, 0.14223143640165664, -0.05368289845989226, 0.09647731008470595, 0.03102353684187943, -0.11238719544143014, -0.20051721531310923, 0.36478587111126476, -0.08120244710183103, -0.14870881634343364, 0.1314279481231184, -0.14942606108435366, -0.20651893235730287, 0.11612093883681379, 0.1819797932195847, 0.16907757039386015, -0.090860125627879, 0.1181842725427362, -0.12168075609633265, 0.17002924805593178, 0.1651443399980103, 0.019212116762415236, 0.0969341327468163, 0.1331745464711973, 0.1765668267505371, 0.2064648336254073, 0.023104278313327734, 0.016959089718835606, -0.289161335407399, -0.10091571436480504, -0.2573636757554359, 0.10409901881660653, -0.29731112828259737, -0.21440747843685318, 0.37576667329755753, 0.08688919425125502, 0.24215745613974046, 0.1652998668213426, 0.1849964751657864, 0.056620665911221495, 0.06056261507551862, 0.2110235000456594, 0.12010762978932016, 0.13272187874129374, -0.04289900406649694, -0.12870651876437478, 0.08539177791362194, 0.11071660490834141] |
707.208 | UV Luminosity Functions at z~4, 5, and 6 from the HUDF and other Deep
HST ACS Fields: Evolution and Star Formation History | We use the ACS BViz data from the HUDF and all other deep HST ACS fields
(including the GOODS fields) to find large samples of star-forming galaxies at
z~4 and z~5 and to extend our previous z~6 sample. These samples contain 4671,
1416, and 627 B, V, and i dropouts, respectively, and reach to extremely low
luminosities (0.01-0.04 L* or M(UV)~-16 to -17), allowing us to determine the
rest-frame UV luminosity function (LF) and faint-end slope alpha at z~4-6 to
high accuracy. We find faint-end slopes alpha of -1.73+/-0.05 at z~4,
-1.66+/-0.09 at z~5, and -1.74+/-0.16 at z~6 -- suggesting that the faint-end
slope is very steep and shows little evolution with cosmic time. We find that
M*(UV) brightens considerably in the 0.7 Gyr from z~6 to z~4 (by ~0.7 mag from
M*=-20.24+/-0.19 to M*=-20.98+/-0.10). The observed increase in the
characteristic luminosity over this range is almost identical to that expected
for the halo mass function -- suggesting that the observed evolution is likely
due to the hierarchical coalescence and merging of galaxies. The evolution in
phi* is not significant. The UV luminosity density at z~6 is modestly lower
(0.45+/-0.09 times) than that at z~4 (integrated to -17.5 AB mag) though a
larger change is seen in the dust-corrected star-formation rate density. We
thoroughly examine published LF results and assess the reasons for their wide
dispersion. We argue that the results reported here are the most robust
available. The extremely steep faint-end slopes alpha found here suggest that
lower luminosity galaxies play a significant role in reionizing the universe.
Finally, we consider recent search results for galaxies at z~7-8 and use them
to extend our estimates of the evolution in M* from z~7-8 to z~4.
| astro-ph | we use the acs bviz data from the hudf and all other deep hst acs fields including the goods fields to find large samples of starforming galaxies at z4 and z5 and to extend our previous z6 sample these samples contain 4671 1416 and 627 b v and i dropouts respectively and reach to extremely low luminosities 001004 l or muv16 to 17 allowing us to determine the restframe uv luminosity function lf and faintend slope alpha at z46 to high accuracy we find faintend slopes alpha of 173005 at z4 166009 at z5 and 174016 at z6 suggesting that the faintend slope is very steep and shows little evolution with cosmic time we find that muv brightens considerably in the 07 gyr from z6 to z4 by 07 mag from m2024019 to m2098010 the observed increase in the characteristic luminosity over this range is almost identical to that expected for the halo mass function suggesting that the observed evolution is likely due to the hierarchical coalescence and merging of galaxies the evolution in phi is not significant the uv luminosity density at z6 is modestly lower 045009 times than that at z4 integrated to 175 ab mag though a larger change is seen in the dustcorrected starformation rate density we thoroughly examine published lf results and assess the reasons for their wide dispersion we argue that the results reported here are the most robust available the extremely steep faintend slopes alpha found here suggest that lower luminosity galaxies play a significant role in reionizing the universe finally we consider recent search results for galaxies at z78 and use them to extend our estimates of the evolution in m from z78 to z4 | [['we', 'use', 'the', 'acs', 'bviz', 'data', 'from', 'the', 'hudf', 'and', 'all', 'other', 'deep', 'hst', 'acs', 'fields', 'including', 'the', 'goods', 'fields', 'to', 'find', 'large', 'samples', 'of', 'starforming', 'galaxies', 'at', 'z4', 'and', 'z5', 'and', 'to', 'extend', 'our', 'previous', 'z6', 'sample', 'these', 'samples', 'contain', '4671', '1416', 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707.2081 | No-Bang Quantum State of the Cosmos | A quantum state of the entire cosmos (universe or multiverse) is proposed
which is the equal mixture of the Giddings-Marolf states that are
asymptotically single de Sitter spacetimes in both past and future and are
regular on the throat or neck of minimal three-volume. That is, states are
excluded that have a big bang or big crunch or which split into multiple
asymptotic de Sitter spacetimes. (For simplicity, transitions between different
values of the cosmological constant are assumed not to occur, though different
positive values are allowed.) The entropy of this mixed state appears to be of
the order of the three-fourths power of the Bekenstein-Hawking A/4 entropy of
de Sitter spacetime. Most of the component pure states do not have rapid
inflation, but when an inflaton is present and the states are weighted by the
volume at the end of inflation, a much smaller number of states may dominate
and give a large amount of inflation and hence may agree with observations.
| hep-th | a quantum state of the entire cosmos universe or multiverse is proposed which is the equal mixture of the giddingsmarolf states that are asymptotically single de sitter spacetimes in both past and future and are regular on the throat or neck of minimal threevolume that is states are excluded that have a big bang or big crunch or which split into multiple asymptotic de sitter spacetimes for simplicity transitions between different values of the cosmological constant are assumed not to occur though different positive values are allowed the entropy of this mixed state appears to be of the order of the threefourths power of the bekensteinhawking a4 entropy of de sitter spacetime most of the component pure states do not have rapid inflation but when an inflaton is present and the states are weighted by the volume at the end of inflation a much smaller number of states may dominate and give a large amount of inflation and hence may agree with observations | [['a', 'quantum', 'state', 'of', 'the', 'entire', 'cosmos', 'universe', 'or', 'multiverse', 'is', 'proposed', 'which', 'is', 'the', 'equal', 'mixture', 'of', 'the', 'giddingsmarolf', 'states', 'that', 'are', 'asymptotically', 'single', 'de', 'sitter', 'spacetimes', 'in', 'both', 'past', 'and', 'future', 'and', 'are', 'regular', 'on', 'the', 'throat', 'or', 'neck', 'of', 'minimal', 'threevolume', 'that', 'is', 'states', 'are', 'excluded', 'that', 'have', 'a', 'big', 'bang', 'or', 'big', 'crunch', 'or', 'which', 'split', 'into', 'multiple', 'asymptotic', 'de', 'sitter', 'spacetimes', 'for', 'simplicity', 'transitions', 'between', 'different', 'values', 'of', 'the', 'cosmological', 'constant', 'are', 'assumed', 'not', 'to', 'occur', 'though', 'different', 'positive', 'values', 'are', 'allowed', 'the', 'entropy', 'of', 'this', 'mixed', 'state', 'appears', 'to', 'be', 'of', 'the', 'order', 'of', 'the', 'threefourths', 'power', 'of', 'the', 'bekensteinhawking', 'a4', 'entropy', 'of', 'de', 'sitter', 'spacetime', 'most', 'of', 'the', 'component', 'pure', 'states', 'do', 'not', 'have', 'rapid', 'inflation', 'but', 'when', 'an', 'inflaton', 'is', 'present', 'and', 'the', 'states', 'are', 'weighted', 'by', 'the', 'volume', 'at', 'the', 'end', 'of', 'inflation', 'a', 'much', 'smaller', 'number', 'of', 'states', 'may', 'dominate', 'and', 'give', 'a', 'large', 'amount', 'of', 'inflation', 'and', 'hence', 'may', 'agree', 'with', 'observations']] | [-0.14094426788326445, 0.2243607068962718, -0.12038412791487106, 0.08607720739975641, -0.06966908075444309, -0.15542852780264285, -0.03553475732455191, 0.29396509941535093, -0.17280010587929598, -0.26890398037366936, 0.1368828102605659, -0.28515740859977623, -0.03406069308007711, 0.14683131406293537, -0.06098772749235785, 0.006973312146721672, 0.028106523410382646, 0.07048080999542165, -0.0309179644977076, -0.28580648791228913, 0.3652996868304736, 0.06634062385390639, 0.2648317586389129, 0.0014923164149585329, 0.0664525166567829, -0.08036804685432372, 0.02421381939806182, 0.02923716220970231, -0.12991311805182457, 0.07561897702571177, 0.2377574932071622, 0.16286020907487167, 0.2458532601422458, -0.4353747861114917, -0.23733111735890378, 0.18951176354851298, 0.1549482905064468, 0.1556794245046115, -0.009435607210221344, -0.2752165598514559, 0.10009986169767038, -0.16809014066835337, -0.09802351550293949, -0.0657969349518276, 0.013569756100575129, -0.06749908517209675, -0.21657794118674908, 0.11861425786520596, 0.01735854791879746, -0.01847736757064675, -0.07551916542945912, -0.09756153494832509, -0.07647247552112849, 0.09646163409073509, 0.08827657404464934, -0.0008318312926056944, 0.11540098828091114, -0.12287268787478729, -0.08418337964556283, 0.35448132925609377, -0.05624474477048756, -0.147615796794402, 0.16285843629229033, -0.18296180656869654, -0.0936274361986391, 0.12014170271706665, 0.09740740296942538, 0.1397652169847631, -0.06632967468505269, 0.1515553402207809, 0.03544629139273807, 0.15776897419781574, 0.12122489705992241, 0.04845840115111643, 0.2992752236084162, 0.06449076945945206, 0.06339191185040284, 0.0866422687422191, -0.03836247372803175, -0.1579390272295482, -0.3778280046697344, -0.17581388626655817, -0.1802633231215432, 0.07389156970092711, -0.13624784640669982, -0.22840995690497903, 0.3482666813458006, 0.04689878199887634, 0.2312046699312136, 0.04914481723019968, 0.23065233419154896, 0.07120718481019139, 0.041054538331845386, 0.07757848849014183, 0.2744931273455559, 0.06640363602617319, 0.10463470116223174, -0.19399072676552115, 0.038719946139112664, 0.019558119061575445] |
707.2082 | Factorized world-sheet scattering in near-flat AdS_5 x S^5 | We show the factorization of the three-particle world-sheet S-matrix of AdS_5
x S^5 superstring theory in the near-flat-space limit at one loop order. This
is done by computing various scattering amplitudes from Feynman diagrams in the
world-sheet theory. The knowledge of certain highest weight amplitudes allows
us to fix all the freedom in the three-particle S-matrix, which we argue to be
constrained up to four scalar functions due to the symmetries of the model. We
demonstrate that these amplitudes are given by corresponding products of the
known two-particle S-matrix elements, from which it follows that the scattering
of any three world-sheet excitations factorizes. This provides an explicit and
direct check of the quantum integrability of string theory in near-flat AdS_5 x
S^5 as it renders evidence for the existence of higher conserved charges. By
computing further amplitudes we also obtain an indirect confirmation of the
supersymmetries of the near-flat-space model.
| hep-th | we show the factorization of the threeparticle worldsheet smatrix of ads_5 x s5 superstring theory in the nearflatspace limit at one loop order this is done by computing various scattering amplitudes from feynman diagrams in the worldsheet theory the knowledge of certain highest weight amplitudes allows us to fix all the freedom in the threeparticle smatrix which we argue to be constrained up to four scalar functions due to the symmetries of the model we demonstrate that these amplitudes are given by corresponding products of the known twoparticle smatrix elements from which it follows that the scattering of any three worldsheet excitations factorizes this provides an explicit and direct check of the quantum integrability of string theory in nearflat ads_5 x s5 as it renders evidence for the existence of higher conserved charges by computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the nearflatspace model | [['we', 'show', 'the', 'factorization', 'of', 'the', 'threeparticle', 'worldsheet', 'smatrix', 'of', 'ads_5', 'x', 's5', 'superstring', 'theory', 'in', 'the', 'nearflatspace', 'limit', 'at', 'one', 'loop', 'order', 'this', 'is', 'done', 'by', 'computing', 'various', 'scattering', 'amplitudes', 'from', 'feynman', 'diagrams', 'in', 'the', 'worldsheet', 'theory', 'the', 'knowledge', 'of', 'certain', 'highest', 'weight', 'amplitudes', 'allows', 'us', 'to', 'fix', 'all', 'the', 'freedom', 'in', 'the', 'threeparticle', 'smatrix', 'which', 'we', 'argue', 'to', 'be', 'constrained', 'up', 'to', 'four', 'scalar', 'functions', 'due', 'to', 'the', 'symmetries', 'of', 'the', 'model', 'we', 'demonstrate', 'that', 'these', 'amplitudes', 'are', 'given', 'by', 'corresponding', 'products', 'of', 'the', 'known', 'twoparticle', 'smatrix', 'elements', 'from', 'which', 'it', 'follows', 'that', 'the', 'scattering', 'of', 'any', 'three', 'worldsheet', 'excitations', 'factorizes', 'this', 'provides', 'an', 'explicit', 'and', 'direct', 'check', 'of', 'the', 'quantum', 'integrability', 'of', 'string', 'theory', 'in', 'nearflat', 'ads_5', 'x', 's5', 'as', 'it', 'renders', 'evidence', 'for', 'the', 'existence', 'of', 'higher', 'conserved', 'charges', 'by', 'computing', 'further', 'amplitudes', 'we', 'also', 'obtain', 'an', 'indirect', 'confirmation', 'of', 'the', 'supersymmetries', 'of', 'the', 'nearflatspace', 'model']] | [-0.14628838798962535, 0.16829801538435277, -0.11199393380743762, 0.10508712634056186, -0.05382028723756472, -0.08529817872370282, 0.018867896678081402, 0.3174991073086858, -0.20602745073537032, -0.22896415551115448, 0.03582384347915649, -0.28389929169643435, -0.15460551471759876, 0.12750620666270454, -0.006470366806412737, 0.05303526347503066, 0.018851187593924502, 0.08226823000237346, -0.1246340624258543, -0.246251711929217, 0.32583765181712804, -0.010835777736113716, 0.2572266389926275, 0.084103311515258, 0.11446975281462074, 0.06830019827000797, -0.029190489957109093, -0.06017044325980048, -0.09622817966204214, 0.14873538682314877, 0.2500198502466083, 0.0949809034106632, 0.08497854539037993, -0.4581725335493684, -0.16155937895799677, 0.05400253768622254, 0.19081957262475044, 0.1658854431984946, 0.07257858608228465, -0.2670999033314486, 0.05820296465108792, -0.19736029324432214, -0.19480006364174188, -0.09931381773358831, 0.02635969174404939, -0.09507333423321446, -0.22235882117102543, 0.04842224246414844, 0.024291885395844776, -0.0029814763367176055, -0.04598417788006676, -0.09938954695127905, -0.06522765776220088, 0.11704806779200833, 0.1133604499604553, 0.06275039768156906, 0.07213302145401637, -0.1853775596804917, -0.1467033712224414, 0.3282729021242509, -0.0264708506106399, -0.21350792818081876, 0.1197140200001498, -0.17309731289433936, -0.1916742829264452, 0.15426627029664813, 0.0631167885401131, 0.13943247344451568, -0.1802174050360918, 0.19269002388503093, -0.02925043348533412, 0.13465946462626258, 0.1174543998297304, 0.08253122531498472, 0.22031330971357724, 0.07896939316143592, 0.016738516914192588, 0.15368065423564986, -0.0468087004031986, -0.10119246505200863, -0.43518792955825725, -0.12477452413799862, -0.12641378153891614, 0.12361301195186873, -0.1550717577141283, -0.17369463223343093, 0.3500154043485721, 0.14977320892658705, 0.1891070593961437, 0.06658976460341365, 0.22401944979093968, 0.1719765945454128, 0.09693784416497996, 0.054327103605804346, 0.23897543652526412, 0.1783168468484655, 0.02975690799454848, -0.25389191292226315, -0.08189657977685177, 0.14594849770267804] |
707.2083 | Filling the holes: Evolving excised binary black hole initial data with
puncture techniques | We follow the inspiral and merger of equal-mass black holes (BHs) by the
moving puncture technique and demonstrate that both the exterior solution and
the asymptotic gravitational waveforms are unchanged when the initial interior
solution is replaced by constraint-violating ``junk'' initial data. We apply
this result to evolve conformal thin-sandwich (CTS) binary BH initial data by
filling their excised interiors with arbitrary, but smooth, initial data and
evolving with standard puncture gauge choices. The waveforms generated for both
puncture and filled-CTS initial data are remarkably similar, and there are only
minor differences between irrotational and corotational CTS BH binaries. Even
the interior solutions appear to evolve to the same constraint-satisfying
solution at late times, independent of the initial data.
| gr-qc astro-ph | we follow the inspiral and merger of equalmass black holes bhs by the moving puncture technique and demonstrate that both the exterior solution and the asymptotic gravitational waveforms are unchanged when the initial interior solution is replaced by constraintviolating junk initial data we apply this result to evolve conformal thinsandwich cts binary bh initial data by filling their excised interiors with arbitrary but smooth initial data and evolving with standard puncture gauge choices the waveforms generated for both puncture and filledcts initial data are remarkably similar and there are only minor differences between irrotational and corotational cts bh binaries even the interior solutions appear to evolve to the same constraintsatisfying solution at late times independent of the initial data | [['we', 'follow', 'the', 'inspiral', 'and', 'merger', 'of', 'equalmass', 'black', 'holes', 'bhs', 'by', 'the', 'moving', 'puncture', 'technique', 'and', 'demonstrate', 'that', 'both', 'the', 'exterior', 'solution', 'and', 'the', 'asymptotic', 'gravitational', 'waveforms', 'are', 'unchanged', 'when', 'the', 'initial', 'interior', 'solution', 'is', 'replaced', 'by', 'constraintviolating', 'junk', 'initial', 'data', 'we', 'apply', 'this', 'result', 'to', 'evolve', 'conformal', 'thinsandwich', 'cts', 'binary', 'bh', 'initial', 'data', 'by', 'filling', 'their', 'excised', 'interiors', 'with', 'arbitrary', 'but', 'smooth', 'initial', 'data', 'and', 'evolving', 'with', 'standard', 'puncture', 'gauge', 'choices', 'the', 'waveforms', 'generated', 'for', 'both', 'puncture', 'and', 'filledcts', 'initial', 'data', 'are', 'remarkably', 'similar', 'and', 'there', 'are', 'only', 'minor', 'differences', 'between', 'irrotational', 'and', 'corotational', 'cts', 'bh', 'binaries', 'even', 'the', 'interior', 'solutions', 'appear', 'to', 'evolve', 'to', 'the', 'same', 'constraintsatisfying', 'solution', 'at', 'late', 'times', 'independent', 'of', 'the', 'initial', 'data']] | [-0.14614839389943912, 0.13609528313469837, -0.08615509438391586, 0.10346850598925504, -0.08879668176789784, -0.12893566982504928, -0.015775994304222277, 0.34441270977574384, -0.15819650388843678, -0.290682189951856, 0.17295064465971505, -0.2957195133183909, -0.04041010093228039, 0.1759563208186715, -0.05153974716283255, 0.07301935521191207, 0.17040039516464509, -0.00650788085945582, -0.1343370065550809, -0.2696143626472202, 0.3994620483796807, -0.0033223917234247013, 0.18004758742843138, -0.11213150334749687, 0.11032317557877278, -0.008811577700741462, -0.02480345004301329, -0.015821142041250683, -0.14712797476885636, 0.0033497955823727586, 0.25218772615298185, 0.1796970768200635, 0.1749601264379897, -0.43955694011144214, -0.18020851890777506, 0.05831290879760379, 0.14826480304759185, 0.175167987000797, -0.0987035158559901, -0.27143093633122145, 0.1263686808603579, -0.19697136203146745, -0.17187586205052527, -0.019185469327968056, 0.07172107420293457, 0.03948646371836884, -0.25625187965204654, 0.12229901779900794, 0.08355005431162604, -0.07725374285384255, -0.1746391289871407, -0.05496324926725257, -0.10472239298603923, 0.12083629262954257, 0.12630401511668718, 0.10805633155455402, 0.15654946913769058, -0.0811863770753824, -0.019588330180494714, 0.3368826425729035, -0.029564993444167204, -0.21663811474533404, 0.23008586400804126, -0.22462445362155342, -0.06996883236866255, 0.12800463702395495, 0.15574254697362372, 0.15619401188204224, -0.12098412908652158, 0.07026559588355329, 0.0597059015299083, 0.16108397624092335, 0.16517781998599107, -0.04610990686736748, 0.31659032691712097, 0.06506971416055714, 0.004329535683964269, 0.09043482288430145, -0.05208081789946152, -0.09625548063935238, -0.26797144781103577, -0.06316214548157512, -0.17063856088572135, 0.10569596184038763, -0.18178688380307365, -0.16992357977808026, 0.3218763695568067, 0.10828499001550973, 0.1983339465381104, 0.06187112511666413, 0.26858917402140664, 0.07660912017247214, 0.023672737613304566, 0.15303701674960302, 0.24972436596023834, 0.06954532639928541, 0.09403500562608716, -0.2305511268057024, -0.007169687134407113, 0.04670622187934942] |
707.2084 | A quantum topological phase transition at the microscopic level | We study a quantum phase transition between a phase which is topologically
ordered and one which is not. We focus on a spin model, an extension of the
toric code, for which we obtain the exact ground state for all values of the
coupling constant that takes the system across the phase transition. We compute
the entanglement and the topological entropy of the system as a function of
this coupling constant, and show that the topological entropy remains constant
all the way up to the critical point, and jumps to zero beyond it. Despite the
jump in the topological entropy, the transition is second order as detected via
any local observable.
| cond-mat.str-el quant-ph | we study a quantum phase transition between a phase which is topologically ordered and one which is not we focus on a spin model an extension of the toric code for which we obtain the exact ground state for all values of the coupling constant that takes the system across the phase transition we compute the entanglement and the topological entropy of the system as a function of this coupling constant and show that the topological entropy remains constant all the way up to the critical point and jumps to zero beyond it despite the jump in the topological entropy the transition is second order as detected via any local observable | [['we', 'study', 'a', 'quantum', 'phase', 'transition', 'between', 'a', 'phase', 'which', 'is', 'topologically', 'ordered', 'and', 'one', 'which', 'is', 'not', 'we', 'focus', 'on', 'a', 'spin', 'model', 'an', 'extension', 'of', 'the', 'toric', 'code', 'for', 'which', 'we', 'obtain', 'the', 'exact', 'ground', 'state', 'for', 'all', 'values', 'of', 'the', 'coupling', 'constant', 'that', 'takes', 'the', 'system', 'across', 'the', 'phase', 'transition', 'we', 'compute', 'the', 'entanglement', 'and', 'the', 'topological', 'entropy', 'of', 'the', 'system', 'as', 'a', 'function', 'of', 'this', 'coupling', 'constant', 'and', 'show', 'that', 'the', 'topological', 'entropy', 'remains', 'constant', 'all', 'the', 'way', 'up', 'to', 'the', 'critical', 'point', 'and', 'jumps', 'to', 'zero', 'beyond', 'it', 'despite', 'the', 'jump', 'in', 'the', 'topological', 'entropy', 'the', 'transition', 'is', 'second', 'order', 'as', 'detected', 'via', 'any', 'local', 'observable']] | [-0.17287579511904771, 0.1886396686776451, -0.07469952933758765, 0.03455804590647621, -0.014478958329303307, -0.1277444057065893, 0.09410122839675227, 0.31420654988939967, -0.2840737563322995, -0.25520854180695507, 0.11182914939729983, -0.2920851416147507, -0.13931813322611758, 0.14830541280769483, 0.04102230489648342, 0.04772419079014432, -0.03378455709615672, 0.09387149064810024, -0.11901440048120446, -0.20377844194504055, 0.3559027202679096, -0.012878355172647347, 0.27076916635741255, 0.0915067166987773, 0.1151870126324194, -0.03652880151193958, 0.09005657501250237, 0.0353162076852813, -0.16190234980368168, 0.06023197642607228, 0.2166221120042374, 0.059998844871884796, 0.2028338419827255, -0.34787033546111873, -0.21311218685864866, 0.12654937380245207, 0.08345996890519117, 0.1678714100869272, -0.026710231430820183, -0.2697346444820633, 0.08050342995321026, -0.17620063985924464, -0.09622723257655764, -0.09638917700362366, 0.01592429633344616, -0.0446166632432692, -0.24231880142663917, 0.05961937366707905, 0.09242865657391916, 0.027263733977871435, -0.05882713399189818, -0.023122733943416057, -0.05757373585659373, 0.17252874633649717, 0.030803659486664074, 0.08134145661978773, 0.09058569661584927, -0.13144693600416585, -0.10337939905002713, 0.37015771595677277, -0.10398478606854238, -0.1581501893065702, 0.17758485207099234, -0.1660650714157938, -0.11066071514191257, 0.12081844946537335, 0.11399236051701345, 0.12822697955175294, -0.0884972753271729, 0.09756392114460133, -0.0008654645769982724, 0.18165158147442256, -0.005129541836779665, 0.048463298821704345, 0.22491615895718872, 0.10980716153039588, 0.11811993318727357, 0.20153486048215413, -0.07780124717559833, -0.1620087770594133, -0.3472442718071712, -0.23886342905723984, -0.23222910907530636, 0.05616943331066674, -0.0911300042806705, -0.2268657109087652, 0.42588136395489845, 0.17191945951901846, 0.23662256947844415, 0.045774084839682504, 0.27560888781623394, 0.15836749702213784, 0.04529996447659492, 0.07409988506382482, 0.24808320841911408, 0.119831743081696, 0.06475365891012254, -0.24278217290453655, 0.08546005390366321, 0.08799235093164014] |
707.2085 | Lagrangian embeddings of the Klein bottle and combinatorial properties
of mapping class groups | A proof of non-existence of Lagrangian embeddings of the Klein bottle K in
\CP^2 is given. We exploit the existence of a special embedding of K in a
symplectic Lefschetz pencil on \CP^2 and study its monodromy. As the main
technical tool, we develop the theory of mapping class groups, considered as
quotients of special Artin braid groups, and obtain some new results about
combinatorial structure of such groups.
| math.SG math.GR math.GT | a proof of nonexistence of lagrangian embeddings of the klein bottle k in cp2 is given we exploit the existence of a special embedding of k in a symplectic lefschetz pencil on cp2 and study its monodromy as the main technical tool we develop the theory of mapping class groups considered as quotients of special artin braid groups and obtain some new results about combinatorial structure of such groups | [['a', 'proof', 'of', 'nonexistence', 'of', 'lagrangian', 'embeddings', 'of', 'the', 'klein', 'bottle', 'k', 'in', 'cp2', 'is', 'given', 'we', 'exploit', 'the', 'existence', 'of', 'a', 'special', 'embedding', 'of', 'k', 'in', 'a', 'symplectic', 'lefschetz', 'pencil', 'on', 'cp2', 'and', 'study', 'its', 'monodromy', 'as', 'the', 'main', 'technical', 'tool', 'we', 'develop', 'the', 'theory', 'of', 'mapping', 'class', 'groups', 'considered', 'as', 'quotients', 'of', 'special', 'artin', 'braid', 'groups', 'and', 'obtain', 'some', 'new', 'results', 'about', 'combinatorial', 'structure', 'of', 'such', 'groups']] | [-0.19702795781600085, 0.00473746384723463, -0.1137902530895519, 0.09522080781322945, -0.13791415265396886, -0.13430762016956788, 0.020965685047195766, 0.30728461377430655, -0.3054032940417528, -0.28023482967114105, 0.11035334981600012, -0.23809550147827552, -0.20054530832862508, 0.19109442503447982, -0.1439201950662486, -0.017858183554235966, 0.026441486194675814, 0.09606348244689297, -0.11386077613660482, -0.2624722878698368, 0.41925669381179026, -0.06480506449208959, 0.17015177187293876, 0.07383843192803687, 0.08338795240590538, 0.02584476704182832, -0.037511101633688246, -0.050452343228718506, -0.17190051672683246, 0.14074409206438324, 0.290948581436406, 0.08624887853806866, 0.17862097170217422, -0.3736509317127259, -0.1703583663329482, 0.15974761783887725, 0.12793889864469352, 0.04916053015630746, -0.09216954692206143, -0.2806817337978577, 0.09240623883417119, -0.12101132745274167, -0.17978125149249166, -0.1039610495655865, 0.00047289785267650217, 0.041952636534942016, -0.12226160644111561, -0.04836009309856572, 0.14605951347671772, 0.14780903920747232, -0.056857656770169844, -0.11964594553886117, -0.03861202140325221, 0.13401446437490158, 0.034416448470016105, 0.006499503681814109, 0.08280560043572947, -0.10874938287272834, -0.1287649507107942, 0.43865220583435416, -0.05745939463646947, -0.2005931616936257, 0.12809443207916574, -0.11579048663269782, -0.2492198010744608, 0.12682536835917205, 0.14209791950449563, 0.179414637548768, -0.020730259019267352, 0.17092114711092596, -0.18208687056017958, 0.07190422860203662, 0.13594071341651506, -0.016510658020126648, 0.11013277298838332, 0.14407551454285672, 0.09383154258914832, 0.1637900863956336, 0.017018327465874776, -0.007192921406332997, -0.38713743058505695, -0.23815120500174985, -0.11372956085572208, 0.18333415306794146, -0.11209867818346854, -0.19852932583392208, 0.43192459548405115, 0.023696036017297403, 0.16800565678842258, 0.09784407592446044, 0.2168813030930587, -0.011254073663925132, 0.041953651072538414, 0.004620262657872577, 0.09589081899595339, 0.27381539077538514, -0.042746607679873705, -0.13225530211111883, -0.07908370456172396, 0.24108618211028152] |
707.2086 | Cosmic Ray production of Beryllium and Boron at high redshift | Recently, new observations of Li6 in Pop II stars of the galactic halo have
shown a surprisingly high abundance of this isotope, about a thousand times
higher than its predicted primordial value. In previous papers, a cosmological
model for the cosmic ray-induced production of this isotope in the IGM has been
developed to explain the observed abundance at low metallicity. In this paper,
given this constraint on the Li6, we calculate the non-thermal evolution with
redshift of D, Be, and B in the IGM. In addition to cosmological cosmic ray
interactions in the IGM, we include additional processes driven by SN
explosions: neutrino spallation and a low energy component in the structures
ejected by outflows to the IGM. We take into account CNO CRs impinging on the
intergalactic gas. Although subdominant in the galactic disk, this process is
shown to produce the bulk of Be and B in the IGM, due to the differential metal
enrichment between structures (where CRs originate) and the IGM. We also
consider the resulting extragalactic gamma-ray background which we find to be
well below existing data. The computation is performed in the framework of
hierarchical structure formation considering several star formation histories
including Pop III stars. We find that D production is negligible and that a
potentially detectable Be and B plateau is produced by these processes at the
time of the formation of the Galaxy (z ~ 3).
| astro-ph | recently new observations of li6 in pop ii stars of the galactic halo have shown a surprisingly high abundance of this isotope about a thousand times higher than its predicted primordial value in previous papers a cosmological model for the cosmic rayinduced production of this isotope in the igm has been developed to explain the observed abundance at low metallicity in this paper given this constraint on the li6 we calculate the nonthermal evolution with redshift of d be and b in the igm in addition to cosmological cosmic ray interactions in the igm we include additional processes driven by sn explosions neutrino spallation and a low energy component in the structures ejected by outflows to the igm we take into account cno crs impinging on the intergalactic gas although subdominant in the galactic disk this process is shown to produce the bulk of be and b in the igm due to the differential metal enrichment between structures where crs originate and the igm we also consider the resulting extragalactic gammaray background which we find to be well below existing data the computation is performed in the framework of hierarchical structure formation considering several star formation histories including pop iii stars we find that d production is negligible and that a potentially detectable be and b plateau is produced by these processes at the time of the formation of the galaxy z 3 | [['recently', 'new', 'observations', 'of', 'li6', 'in', 'pop', 'ii', 'stars', 'of', 'the', 'galactic', 'halo', 'have', 'shown', 'a', 'surprisingly', 'high', 'abundance', 'of', 'this', 'isotope', 'about', 'a', 'thousand', 'times', 'higher', 'than', 'its', 'predicted', 'primordial', 'value', 'in', 'previous', 'papers', 'a', 'cosmological', 'model', 'for', 'the', 'cosmic', 'rayinduced', 'production', 'of', 'this', 'isotope', 'in', 'the', 'igm', 'has', 'been', 'developed', 'to', 'explain', 'the', 'observed', 'abundance', 'at', 'low', 'metallicity', 'in', 'this', 'paper', 'given', 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707.2087 | Dynamics of Free Surface Perturbations Along an Annular Viscous Film | It is known that an axisymmetric viscous film flowing down the outside of a
thin vertical fiber becomes unstable to interfacial perturbations. We present
an experimental study using fluids with different densities, surface tensions
and viscosities to investigate the growth and dynamics of these interfacial
perturbations and to test the assumptions made by previous authors. We find the
initial perturbation growth is exponential followed by a slower phase as the
amplitude and wavelength saturate in size. Measurements of the perturbation
growth for experiments conducted at low and moderate Reynolds numbers are
compared to theoretical predictions developed from linear stability theory.
Excellent agreement is found between predictions from a long-wave Stokes flow
model (Craster & Matar, J. Fluid Mech. 553, 85 (2006)) and data, while fair
agreement is found between predictions from a moderate Reynolds number model
(Sisoev et al., Chem. Eng. Sci. 61, 7279 (2006)) and data. Furthermore, we find
that a known transition in the longer-time perturbation dynamics from unsteady
to steady behavior at a critical flow rate, Qc, is correlated to a transition
in the rate at which perturbations naturally form along the fiber. For Q < Qc
(steady case), the rate of perturbation formation is constant. As a result the
position along the fiber where perturbations form is nearly fixed, and the
spacing between consecutive perturbations remains constant as they travel 2 m
down the fiber. For Q > Qc (unsteady case), the rate of perturbation formation
is modulated. As a result the position along the fiber where perturbations form
oscillates irregularly, and the initial speed and spacing between perturbations
varies resulting in the coalescence of neighboring perturbations further down
the fiber.
| physics.flu-dyn | it is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations we present an experimental study using fluids with different densities surface tensions and viscosities to investigate the growth and dynamics of these interfacial perturbations and to test the assumptions made by previous authors we find the initial perturbation growth is exponential followed by a slower phase as the amplitude and wavelength saturate in size measurements of the perturbation growth for experiments conducted at low and moderate reynolds numbers are compared to theoretical predictions developed from linear stability theory excellent agreement is found between predictions from a longwave stokes flow model craster matar j fluid mech 553 85 2006 and data while fair agreement is found between predictions from a moderate reynolds number model sisoev et al chem eng sci 61 7279 2006 and data furthermore we find that a known transition in the longertime perturbation dynamics from unsteady to steady behavior at a critical flow rate qc is correlated to a transition in the rate at which perturbations naturally form along the fiber for q qc steady case the rate of perturbation formation is constant as a result the position along the fiber where perturbations form is nearly fixed and the spacing between consecutive perturbations remains constant as they travel 2 m down the fiber for q qc unsteady case the rate of perturbation formation is modulated as a result the position along the fiber where perturbations form oscillates irregularly and the initial speed and spacing between perturbations varies resulting in the coalescence of neighboring perturbations further down the fiber | [['it', 'is', 'known', 'that', 'an', 'axisymmetric', 'viscous', 'film', 'flowing', 'down', 'the', 'outside', 'of', 'a', 'thin', 'vertical', 'fiber', 'becomes', 'unstable', 'to', 'interfacial', 'perturbations', 'we', 'present', 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707.2088 | Generalized gradient approximation for solids and their surfaces | Successful modern generalized gradient approximations (GGA) are biased toward
atomic energies. Restoration of the first-principles gradient expansion for the
exchange energy over a wide range of density gradients eliminates this bias. We
introduce PBEsol, a revised Perdew-Burke-Ernzerhof GGA that improves
equilibrium properties for many densely-packed solids and their surfaces.
| cond-mat.other cond-mat.mtrl-sci | successful modern generalized gradient approximations gga are biased toward atomic energies restoration of the firstprinciples gradient expansion for the exchange energy over a wide range of density gradients eliminates this bias we introduce pbesol a revised perdewburkeernzerhof gga that improves equilibrium properties for many denselypacked solids and their surfaces | [['successful', 'modern', 'generalized', 'gradient', 'approximations', 'gga', 'are', 'biased', 'toward', 'atomic', 'energies', 'restoration', 'of', 'the', 'firstprinciples', 'gradient', 'expansion', 'for', 'the', 'exchange', 'energy', 'over', 'a', 'wide', 'range', 'of', 'density', 'gradients', 'eliminates', 'this', 'bias', 'we', 'introduce', 'pbesol', 'a', 'revised', 'perdewburkeernzerhof', 'gga', 'that', 'improves', 'equilibrium', 'properties', 'for', 'many', 'denselypacked', 'solids', 'and', 'their', 'surfaces']] | [-0.1087762453897419, 0.07677208665254696, -0.11986834828608803, 0.11047578424842534, -0.013713041358456319, -0.0858794158248573, 0.07764109590908094, 0.4427479047860418, -0.29814761692220915, -0.30108742332276034, -0.04826183871803235, -0.263848450433995, -0.072743946016405, 0.13650616973030325, -0.0011548781957553358, 0.04222448896236566, 0.021515141716417, -0.12211866935296935, -0.20085963199618367, -0.22740459249697018, 0.18995764589279282, 0.09268749063140808, 0.29412374642620587, 0.11663960716782176, 0.05664853992746022, 0.02979615793031241, 0.0985671365538574, 0.09182082344682849, -0.15436837701106146, 0.18327633774250138, 0.2628861919653659, -0.043222920398931115, 0.3553389612281201, -0.44041148497133836, -0.32795671729028836, 0.050049319541395396, 0.07064413285947271, 0.19226027728172437, -0.0963787975416956, -0.16560142485386864, 0.05056891255840963, -0.2312510360260399, -0.1404927751591087, -0.20984115710063855, -0.0519194771744767, 0.14530763873944477, -0.22968299932093644, 0.21910757373315187, -0.014106995179032793, 0.07000178083473323, -0.1068101532814302, -0.30100503005087376, -0.035014730840161136, -0.0076528683646905175, -0.03494449898752631, 0.07766342618531186, 0.23977776252835684, -0.10921038658244117, -0.01844449685316305, 0.38557829593821447, -0.1036585629062385, -0.12393471294519853, 0.15454081867878533, -0.03566409046856724, -0.1790218058194281, 0.1261966658699117, 0.1278054199314543, 0.13292298403245453, -0.17372825996456098, 0.12147765975963438, 0.04855749048043175, 0.13389547298453292, 0.08476710565654295, 0.012712027212338788, 0.1504942661018244, 0.08900389242537167, 0.13134580255576353, 0.019192995180432895, -0.09458596362466258, -0.18138175341300666, -0.22832343138146158, -0.137459930792755, -0.17849920777489944, 0.0005054160648462724, -0.1261234845373927, -0.27298580501608705, 0.3883771618866191, 0.14608156034836964, 0.12568293903403135, 0.05801224250498475, 0.2866750871192436, 0.10718204409872391, 0.0630877086826201, 0.07705926572029688, 0.26579117353017234, 0.19058342737963005, 0.09645365320896844, -0.20196544535800207, 0.08188299593344635, 0.061401008956172336] |
707.2089 | Exact models with non-minimal interaction between dark matter and
(either phantom or quintessence) dark energy | A method for deriving Friedmann-Robertson-Walker (FRW) solutions developed in
Int. J. Mod. Phys. D{\bf 5}(1996)71-84, is generalized to account for models
with non-minimal coupling between the dark energy and the dark matter. New
quintessence and phantom (flat) FRW solutions are found. Their physical
significance is discussed. Additionally, the aforementioned method is modified
so that, "coincidence free" solutions can be readily derived. Besides, we
review some aspects of the phantom barrier crossing. In this regard we present
a model which is free from the coincidence problem and, at the same time, does
the crossing of the phantom barrier $\omega=-1$ at late time. Finally, we give
additional comments on the non predictive properties of scalar field
cosmological models with or without energy transfer.
| gr-qc | a method for deriving friedmannrobertsonwalker frw solutions developed in int j mod phys dbf 519967184 is generalized to account for models with nonminimal coupling between the dark energy and the dark matter new quintessence and phantom flat frw solutions are found their physical significance is discussed additionally the aforementioned method is modified so that coincidence free solutions can be readily derived besides we review some aspects of the phantom barrier crossing in this regard we present a model which is free from the coincidence problem and at the same time does the crossing of the phantom barrier omega1 at late time finally we give additional comments on the non predictive properties of scalar field cosmological models with or without energy transfer | [['a', 'method', 'for', 'deriving', 'friedmannrobertsonwalker', 'frw', 'solutions', 'developed', 'in', 'int', 'j', 'mod', 'phys', 'dbf', '519967184', 'is', 'generalized', 'to', 'account', 'for', 'models', 'with', 'nonminimal', 'coupling', 'between', 'the', 'dark', 'energy', 'and', 'the', 'dark', 'matter', 'new', 'quintessence', 'and', 'phantom', 'flat', 'frw', 'solutions', 'are', 'found', 'their', 'physical', 'significance', 'is', 'discussed', 'additionally', 'the', 'aforementioned', 'method', 'is', 'modified', 'so', 'that', 'coincidence', 'free', 'solutions', 'can', 'be', 'readily', 'derived', 'besides', 'we', 'review', 'some', 'aspects', 'of', 'the', 'phantom', 'barrier', 'crossing', 'in', 'this', 'regard', 'we', 'present', 'a', 'model', 'which', 'is', 'free', 'from', 'the', 'coincidence', 'problem', 'and', 'at', 'the', 'same', 'time', 'does', 'the', 'crossing', 'of', 'the', 'phantom', 'barrier', 'omega1', 'at', 'late', 'time', 'finally', 'we', 'give', 'additional', 'comments', 'on', 'the', 'non', 'predictive', 'properties', 'of', 'scalar', 'field', 'cosmological', 'models', 'with', 'or', 'without', 'energy', 'transfer']] | [-0.11914223153338147, 0.07920358154418257, -0.10302505663906535, 0.10140246423640444, -0.12002002350442732, -0.2048211430121834, -0.02760399081162177, 0.34301783360618476, -0.20731924525462092, -0.3492600186475708, 0.03310250393757694, -0.24340480392954003, -0.08741787499166094, 0.1453991658325928, -0.036399149916057166, 0.019940937605376043, 0.01803222396993078, 0.06429662859688202, -0.0532354332099203, -0.25282898800020726, 0.33278530575043985, 0.08863426290093533, 0.23892265137522675, 0.06464851814089342, 0.10747470790326284, -0.045110585548294085, -0.004877490185511609, 0.021547237418902417, -0.24545350501654564, 0.034394317246430245, 0.1916283330441729, 0.10641547308381026, 0.23304794989914324, -0.42672752446184553, -0.25835531870058426, 0.16615546299144626, 0.13906475850380956, 0.14226531213207635, -0.052027206368317515, -0.30823944085277616, 0.07354193632490932, -0.17611560038494645, -0.11039493576390669, -0.05259003259707242, -0.0034221732241955277, -0.00527417278305317, -0.20740551625688872, 0.1465310903634721, -0.009099197513811911, -0.024340980120662912, -0.14154237683784837, -0.08983998283705054, 0.003961135179270059, 0.013831757866622258, 0.09207043420659224, -0.015525605203583837, 0.08986736457833709, -0.16773870714532677, -0.07498134302926095, 0.37247024731089673, -0.09905833794667464, -0.222760309278965, 0.15190685116297875, -0.09793030091095715, -0.10796277076393987, 0.10869248074595816, 0.08124827692518011, 0.10100447790852438, -0.1541689971384282, 0.19312004392898718, 0.03596785147674382, 0.14805964483724285, 0.10006226229403789, -0.0369913129019551, 0.24972807608234385, 0.1068839250636908, -0.009144021515385247, 0.10122947169293184, -0.05679654606889623, -0.1177035270491615, -0.4043063185177743, -0.1943748036865145, -0.14030541243458478, 0.05495204276715716, -0.10585503099294631, -0.13552809523728987, 0.3930892714454482, 0.12315394202014432, 0.15549073783137526, 0.061848859672318214, 0.2642613099577526, 0.1208450750738848, -0.0056231165013741705, 0.0966571258381009, 0.26914762058804625, 0.0679947896162048, 0.14899556062494715, -0.21377377308090217, -0.04272384302457795, 0.028166796206884708] |
707.209 | A Training based Distributed Non-Coherent Space-Time Coding Strategy | Unitary space-time modulation is known to be an efficient means to
communicate over non-coherent Multiple Input Multiple Output (MIMO) channels.
In this letter, differential unitary space-time coding and non-coherent
space-time coding for the training based approach of Kim and Tarokh are
addressed. For this approach, necessary and sufficient conditions for
multi-group decodability are derived in a simple way assuming a Generalized
Likelihood Ratio Test receiver and a unitary codebook. Extending Kim and
Tarokh's approach for colocated MIMO systems, a novel training based approach
to distributed non-coherent space-time coding for wireless relay networks is
proposed. An explicit construction of two-group decodable distributed
non-coherent space-time codes achieving full cooperative diversity for all even
number of relays is provided.
| cs.IT math.IT | unitary spacetime modulation is known to be an efficient means to communicate over noncoherent multiple input multiple output mimo channels in this letter differential unitary spacetime coding and noncoherent spacetime coding for the training based approach of kim and tarokh are addressed for this approach necessary and sufficient conditions for multigroup decodability are derived in a simple way assuming a generalized likelihood ratio test receiver and a unitary codebook extending kim and tarokhs approach for colocated mimo systems a novel training based approach to distributed noncoherent spacetime coding for wireless relay networks is proposed an explicit construction of twogroup decodable distributed noncoherent spacetime codes achieving full cooperative diversity for all even number of relays is provided | [['unitary', 'spacetime', 'modulation', 'is', 'known', 'to', 'be', 'an', 'efficient', 'means', 'to', 'communicate', 'over', 'noncoherent', 'multiple', 'input', 'multiple', 'output', 'mimo', 'channels', 'in', 'this', 'letter', 'differential', 'unitary', 'spacetime', 'coding', 'and', 'noncoherent', 'spacetime', 'coding', 'for', 'the', 'training', 'based', 'approach', 'of', 'kim', 'and', 'tarokh', 'are', 'addressed', 'for', 'this', 'approach', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'multigroup', 'decodability', 'are', 'derived', 'in', 'a', 'simple', 'way', 'assuming', 'a', 'generalized', 'likelihood', 'ratio', 'test', 'receiver', 'and', 'a', 'unitary', 'codebook', 'extending', 'kim', 'and', 'tarokhs', 'approach', 'for', 'colocated', 'mimo', 'systems', 'a', 'novel', 'training', 'based', 'approach', 'to', 'distributed', 'noncoherent', 'spacetime', 'coding', 'for', 'wireless', 'relay', 'networks', 'is', 'proposed', 'an', 'explicit', 'construction', 'of', 'twogroup', 'decodable', 'distributed', 'noncoherent', 'spacetime', 'codes', 'achieving', 'full', 'cooperative', 'diversity', 'for', 'all', 'even', 'number', 'of', 'relays', 'is', 'provided']] | [-0.24929019472202407, 0.0337095191077147, -0.027361294631238865, 0.039070902721268, -0.08074964396048175, -0.33022342419008843, 0.06777007422086014, 0.39873225416826164, -0.24906227824571744, -0.2222350812557599, 0.05060312602385555, -0.15136933749865578, -0.21978790161159376, 0.16115523323659664, -0.16829800746687082, 0.09429038074677405, 0.028198304932321543, 0.019811309307165768, -0.060866073091797854, -0.3234123454145763, 0.30977744706501453, 0.17088927907929957, 0.3752396788772034, -0.07045365993500403, 0.14866927528510923, 0.02647927867896531, -0.07731035678728443, -0.09421592292416354, -0.06154991931980476, 0.07812662677758414, 0.3899380084572603, 0.21450983779504895, 0.19620025857635168, -0.36743641534627863, -0.3124012753020709, 0.06847049112978351, 0.18689669527761313, 0.16428212883031887, -0.06461624217260142, -0.3034040959794884, 0.15000025889552807, -0.25843241122429783, 0.00850459180124428, -0.01528054764089377, -0.05463020942862267, -0.01089313274613865, -0.41901638497315025, 0.017569921609095256, 0.04693120021535003, 0.05316824162297923, -0.05301761188868271, -0.09113930251611316, 0.10025769441348055, 0.1225435167753502, -0.07339405389705106, -0.00838818708434701, 0.037391556229989006, -0.012655302336560967, -0.12882040233108336, 0.30593598183730375, 0.018293181428199877, -0.27794574888261114, 0.11502027124692889, -0.022463241000862225, -0.11179776755768968, 0.18038514974810507, 0.25749764737227687, 0.1276026311856897, -0.21043372424623077, 0.0685979183333035, -0.03314166508776986, 0.1668970655730885, 0.13854544302853553, 0.11786746344650569, 0.15072421962699004, 0.17441580545298918, 0.10881199235015589, 0.11491324819685163, -0.08074964655983342, -0.130127027990175, -0.2619129247001737, -0.11628105959718359, -0.24485049625939648, 0.01651099652821279, -0.13868369148150794, -0.09997552331617993, 0.3074947406416354, 0.1115802649428825, 0.06473116421991068, 0.1533644846579789, 0.3693927270643737, 0.058827401889467855, 0.00790276316035053, 0.19621359516016168, 0.1621583807049319, 0.21390536215318287, 0.07454834144218299, -0.15503499999885326, -0.002970203558873871, 0.042587792707364194] |
707.2091 | Amine-Gold Linked Single-Molecule Junctions: Experiment and Theory | The measured conductance distribution for single molecule benzenediamine-gold
junctions, based on 59,000 individual conductance traces recorded while
breaking a gold point contact in solution, has a clear peak at 0.0064 G$_{0}$
with a width of $\pm$ 40%. Conductance calculations based on density functional
theory (DFT) for 15 distinct junction geometries show a similar spread.
Differences in local structure have a limited influence on conductance because
the amine-Au bonding motif is well-defined and flexible. The average calculated
conductance (0.046 G$_{0}$) is seven times larger than experiment, suggesting
the importance of many-electron corrections beyond DFT.
| cond-mat.mtrl-sci | the measured conductance distribution for single molecule benzenediaminegold junctions based on 59000 individual conductance traces recorded while breaking a gold point contact in solution has a clear peak at 00064 g_0 with a width of pm 40 conductance calculations based on density functional theory dft for 15 distinct junction geometries show a similar spread differences in local structure have a limited influence on conductance because the amineau bonding motif is welldefined and flexible the average calculated conductance 0046 g_0 is seven times larger than experiment suggesting the importance of manyelectron corrections beyond dft | [['the', 'measured', 'conductance', 'distribution', 'for', 'single', 'molecule', 'benzenediaminegold', 'junctions', 'based', 'on', '59000', 'individual', 'conductance', 'traces', 'recorded', 'while', 'breaking', 'a', 'gold', 'point', 'contact', 'in', 'solution', 'has', 'a', 'clear', 'peak', 'at', '00064', 'g_0', 'with', 'a', 'width', 'of', 'pm', '40', 'conductance', 'calculations', 'based', 'on', 'density', 'functional', 'theory', 'dft', 'for', '15', 'distinct', 'junction', 'geometries', 'show', 'a', 'similar', 'spread', 'differences', 'in', 'local', 'structure', 'have', 'a', 'limited', 'influence', 'on', 'conductance', 'because', 'the', 'amineau', 'bonding', 'motif', 'is', 'welldefined', 'and', 'flexible', 'the', 'average', 'calculated', 'conductance', '0046', 'g_0', 'is', 'seven', 'times', 'larger', 'than', 'experiment', 'suggesting', 'the', 'importance', 'of', 'manyelectron', 'corrections', 'beyond', 'dft']] | [-0.15867272540724472, 0.06992613665858263, -0.08989387675208728, 0.056080601524824844, 0.02721577130622514, -0.17818990815557417, 0.07558487912857621, 0.4085631957075194, -0.1776453088484983, -0.32780648120071576, -0.06255409668918456, -0.36877982195912173, -0.12285111264487647, 0.16827626974554732, 0.036590374793614384, 0.011560057416436788, 0.056135546332528895, 0.030402682531807248, -0.11299844578278008, -0.1408027498957539, 0.20324625463336302, 0.03943267430219313, 0.32111073788457917, 0.10010841516170489, 0.03456062890283014, -0.02604840999043992, 0.047285043325720595, 0.06634777349055461, -0.15623115888371578, 0.07691261295796088, 0.22533373409912558, -0.09292883116185018, 0.21403480725332527, -0.46058420622316393, -0.1892401477683882, -0.0004938479725514417, 0.12028542691436798, 0.08167493448633215, -0.01715189056662696, -0.25288716799822514, 0.08704290191551832, -0.12401923590526998, -0.07094670578068041, 0.012507193509246345, 0.07408534338110653, -0.03044830293093464, -0.19947987019322286, 0.1614951969569792, -0.07553612589254044, 0.12823772227128086, -0.014620056202503569, -0.19968189890483778, -0.06981548271141946, 0.04460576234344879, -0.041829632246568195, 0.04443256478027805, 0.27472776889234135, -0.07304333659830382, -0.06761505583468218, 0.3532537534104093, -0.09444183543271957, -0.09994244196644539, 0.11092858020034012, -0.1819548196356703, -0.12218535988105704, 0.2012154592970467, 0.054940986498284314, 0.100307773069843, -0.1523953830809383, 0.07107160742452834, 0.025511251138675067, 0.23291074363014955, 0.11601840135762873, 0.044775031151442345, 0.2248924978016673, 0.18888386051327435, 0.061968931515761855, 0.04359932041995268, -0.15825483457782588, -0.10420206557129226, -0.25371395997986523, -0.10444112909380751, -0.18026100757086408, 0.13670734116686103, -0.09483011190905413, -0.19199478322559077, 0.4003731387404158, 0.09968657528414675, 0.22411589934895543, 0.04986837071951215, 0.23795204225968083, 0.13465818597773171, 0.1258621079614386, 0.014304695823027389, 0.19166819714819608, 0.19038956250195674, 0.042985856206581484, -0.2656369192713021, 0.11339445784687996, -0.040136713064187104] |
707.2092 | Ellipses of minimal area and of minimal eccentricity circumscribed about
a convex quadrilateral | First, we fill in key gaps in Steiner's nice characterization of the most
nearly circular ellipse which passes through the vertices of a convex
quadrilateral, D. Steiner proved that there is only one pair of conjugate
directions, M1 and M2, that belong to all ellipses of circumscription. Then he
proves that if there is an ellipse, E, whose equal conjugate diameters possess
the directional constants M1 and M2, then E must be an ellipse of
circumscription which has minimal eccentricity. However, Steiner does not show
the existence or uniqueness of such an ellipse. We prove that there is a unique
ellipse of minimal eccentricity which passes through the vertices of D. We also
show that there exists an ellipse which passes through the vertices of D and
whose equal conjugate diameters possess the directional constants M1 and M2. We
also show that there exists a unique ellipse of minimal area which passes
through the vertices of D. Finally, we call a convex quadrilateral, D,
bielliptic if the unique inscribed and circumscribed ellipses of minimal
eccentricity have the same eccentricity. This generalizes the notion of
bicentric quadrilaterals. In particular we show the existence of a bielliptic
convex quadrilateral which is not bicentric.
| math.CA | first we fill in key gaps in steiners nice characterization of the most nearly circular ellipse which passes through the vertices of a convex quadrilateral d steiner proved that there is only one pair of conjugate directions m1 and m2 that belong to all ellipses of circumscription then he proves that if there is an ellipse e whose equal conjugate diameters possess the directional constants m1 and m2 then e must be an ellipse of circumscription which has minimal eccentricity however steiner does not show the existence or uniqueness of such an ellipse we prove that there is a unique ellipse of minimal eccentricity which passes through the vertices of d we also show that there exists an ellipse which passes through the vertices of d and whose equal conjugate diameters possess the directional constants m1 and m2 we also show that there exists a unique ellipse of minimal area which passes through the vertices of d finally we call a convex quadrilateral d bielliptic if the unique inscribed and circumscribed ellipses of minimal eccentricity have the same eccentricity this generalizes the notion of bicentric quadrilaterals in particular we show the existence of a bielliptic convex quadrilateral which is not bicentric | [['first', 'we', 'fill', 'in', 'key', 'gaps', 'in', 'steiners', 'nice', 'characterization', 'of', 'the', 'most', 'nearly', 'circular', 'ellipse', 'which', 'passes', 'through', 'the', 'vertices', 'of', 'a', 'convex', 'quadrilateral', 'd', 'steiner', 'proved', 'that', 'there', 'is', 'only', 'one', 'pair', 'of', 'conjugate', 'directions', 'm1', 'and', 'm2', 'that', 'belong', 'to', 'all', 'ellipses', 'of', 'circumscription', 'then', 'he', 'proves', 'that', 'if', 'there', 'is', 'an', 'ellipse', 'e', 'whose', 'equal', 'conjugate', 'diameters', 'possess', 'the', 'directional', 'constants', 'm1', 'and', 'm2', 'then', 'e', 'must', 'be', 'an', 'ellipse', 'of', 'circumscription', 'which', 'has', 'minimal', 'eccentricity', 'however', 'steiner', 'does', 'not', 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707.2093 | X-ray and Near-IR Variability of the Anomalous X-ray Pulsar 1E
1048.1-5937: From Quiescence Back to Activity | (Abridged) We report on new and archival X-ray and near-infrared observations
of the anomalous X-ray pulsar 1E 1048.1-5937 performed between 2001-2007 with
RXTE, CXO, Swift, HST, and VLT. During its ~2001-2004 active period, 1E
1048.-5937 exhibited two large, long-term X-ray pulsed-flux flares as well as
short bursts, and large (>10x) torque changes. Monitoring with RXTE revealed
that the source entered a phase of timing stability in 2004; at the same time,
a series of four simultaneous observations with CXO and HST in 2006 showed that
its X-ray flux and spectrum and near-IR flux, all variable prior to 2005,
stabilized. The near-IR flux, when detected by HST (H~22.7 mag) and VLT
(K_S~21.0 mag), was considerably fainter than previously measured. Recently, in
2007 March, this newfound quiescence was interrupted by a sudden flux
enhancement, X-ray spectral changes and a pulse morphology change, simultaneous
with a large spin-up glitch and near-IR enhancement. Our RXTE observations
revealed a sudden pulsed flux increase by a factor of ~3 in the 2-10 keV band.
In observations with CXO and Swift, we found that the total X-ray flux
increased much more than the pulsed flux, reaching a peak value of >7 times the
quiescent value (2-10 keV). With these recent data, we find a strong
anti-correlation between X-ray flux and pulsed fraction, and a correlation
between X-ray spectral hardness and flux. Simultaneously with the radiative and
timing changes, we observed a significant X-ray pulse morphology change such
that the profile went from nearly sinusoidal to having multiple peaks. We
compare these remarkable events with other AXP outbursts and discuss
implications in the context of the magnetar model and other models of AXP
emission.
| astro-ph | abridged we report on new and archival xray and nearinfrared observations of the anomalous xray pulsar 1e 104815937 performed between 20012007 with rxte cxo swift hst and vlt during its 20012004 active period 1e 10485937 exhibited two large longterm xray pulsedflux flares as well as short bursts and large 10x torque changes monitoring with rxte revealed that the source entered a phase of timing stability in 2004 at the same time a series of four simultaneous observations with cxo and hst in 2006 showed that its xray flux and spectrum and nearir flux all variable prior to 2005 stabilized the nearir flux when detected by hst h227 mag and vlt k_s210 mag was considerably fainter than previously measured recently in 2007 march this newfound quiescence was interrupted by a sudden flux enhancement xray spectral changes and a pulse morphology change simultaneous with a large spinup glitch and nearir enhancement our rxte observations revealed a sudden pulsed flux increase by a factor of 3 in the 210 kev band in observations with cxo and swift we found that the total xray flux increased much more than the pulsed flux reaching a peak value of 7 times the quiescent value 210 kev with these recent data we find a strong anticorrelation between xray flux and pulsed fraction and a correlation between xray spectral hardness and flux simultaneously with the radiative and timing changes we observed a significant xray pulse morphology change such that the profile went from nearly sinusoidal to having multiple peaks we compare these remarkable events with other axp outbursts and discuss implications in the context of the magnetar model and other models of axp emission | [['abridged', 'we', 'report', 'on', 'new', 'and', 'archival', 'xray', 'and', 'nearinfrared', 'observations', 'of', 'the', 'anomalous', 'xray', 'pulsar', '1e', '104815937', 'performed', 'between', '20012007', 'with', 'rxte', 'cxo', 'swift', 'hst', 'and', 'vlt', 'during', 'its', '20012004', 'active', 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707.2094 | Discovery of two new accreting pulsating white dwarf stars | We report the discovery of two new accreting pulsating white dwarf stars
amongst the cataclysmic variables of the Sloan Digital Sky Survey:
SDSSJ074531.91+453829.5 and SDSSJ091945.10+085710.0. We observe high amplitude
non-sinusoidal variations of 4.5-7% at a period close to 1230s in the optical
light curves of SDSSJ074531.91+453829.5 and a low amplitude variation of
0.7-1.6% near 260s in the light curves of SDSSJ091945.10+085710.0. We infer
that these optical variations are a consequence of nonradial g-mode pulsations
in the accreting primary white dwarfs of these cataclysmic variables. However
we cannot rule out the remote possibility that the 260s period could be the
spin period of the accreting white dwarf SDSSJ091945.10+085710.0. We also
uncovered a non-variable SDSSJ171145.08+301320.0 during our search; our two
observing runs exclude any pulsation related periodicities in the range of
85-1400s with an amplitude greater than or equal to 0.5%. This discovery paper
brings the total number of known accreting white dwarf pulsators to eleven.
| astro-ph | we report the discovery of two new accreting pulsating white dwarf stars amongst the cataclysmic variables of the sloan digital sky survey sdssj074531914538295 and sdssj091945100857100 we observe high amplitude nonsinusoidal variations of 457 at a period close to 1230s in the optical light curves of sdssj074531914538295 and a low amplitude variation of 0716 near 260s in the light curves of sdssj091945100857100 we infer that these optical variations are a consequence of nonradial gmode pulsations in the accreting primary white dwarfs of these cataclysmic variables however we cannot rule out the remote possibility that the 260s period could be the spin period of the accreting white dwarf sdssj091945100857100 we also uncovered a nonvariable sdssj171145083013200 during our search our two observing runs exclude any pulsation related periodicities in the range of 851400s with an amplitude greater than or equal to 05 this discovery paper brings the total number of known accreting white dwarf pulsators to eleven | [['we', 'report', 'the', 'discovery', 'of', 'two', 'new', 'accreting', 'pulsating', 'white', 'dwarf', 'stars', 'amongst', 'the', 'cataclysmic', 'variables', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdssj074531914538295', 'and', 'sdssj091945100857100', 'we', 'observe', 'high', 'amplitude', 'nonsinusoidal', 'variations', 'of', '457', 'at', 'a', 'period', 'close', 'to', '1230s', 'in', 'the', 'optical', 'light', 'curves', 'of', 'sdssj074531914538295', 'and', 'a', 'low', 'amplitude', 'variation', 'of', '0716', 'near', '260s', 'in', 'the', 'light', 'curves', 'of', 'sdssj091945100857100', 'we', 'infer', 'that', 'these', 'optical', 'variations', 'are', 'a', 'consequence', 'of', 'nonradial', 'gmode', 'pulsations', 'in', 'the', 'accreting', 'primary', 'white', 'dwarfs', 'of', 'these', 'cataclysmic', 'variables', 'however', 'we', 'can', 'not', 'rule', 'out', 'the', 'remote', 'possibility', 'that', 'the', '260s', 'period', 'could', 'be', 'the', 'spin', 'period', 'of', 'the', 'accreting', 'white', 'dwarf', 'sdssj091945100857100', 'we', 'also', 'uncovered', 'a', 'nonvariable', 'sdssj171145083013200', 'during', 'our', 'search', 'our', 'two', 'observing', 'runs', 'exclude', 'any', 'pulsation', 'related', 'periodicities', 'in', 'the', 'range', 'of', '851400s', 'with', 'an', 'amplitude', 'greater', 'than', 'or', 'equal', 'to', '05', 'this', 'discovery', 'paper', 'brings', 'the', 'total', 'number', 'of', 'known', 'accreting', 'white', 'dwarf', 'pulsators', 'to', 'eleven']] | [-0.14600577464327216, 0.19181348256543668, -0.08127229844530423, 0.07859739410613353, -0.1862987544713542, -0.07784123413264751, 0.16227495703768605, 0.349069621351858, -0.18285881536857534, -0.34834424790615837, 0.08989829515417416, -0.31927205784246326, -0.10956981178217878, 0.2738454297464341, -0.12116786078860363, -0.02823936174934109, 0.09365350416162982, -0.0347994148498401, -0.058612062425042195, -0.30934559462592004, 0.2594581447328286, -0.015895873736590148, 0.10592387385045489, -0.13200791739087436, 0.052302481616691994, -0.051239488987873, -0.09953551098684936, -0.11139429506535331, -0.12205684866494267, 0.006133292932063341, 0.24601279428849618, 0.08570360770410237, 0.1880723489758869, -0.31686147248372437, -0.22983342559775338, 0.12728093697456644, 0.19268121619087955, 0.028285603063801925, -0.03880551756476052, -0.22173134146258236, 0.10133455597485105, -0.17118333386878173, -0.17117097545415164, 0.015887016132473945, 0.10247047431766987, 0.06369843957557654, -0.1915603620527933, 0.10181148664307936, 0.08879161598781744, 0.10967473893115919, -0.15329894770868122, -0.12299894606073697, -0.03679296646888058, 0.0666911676634724, 0.07368179962349435, 0.05519803985953331, 0.08710919087442259, -0.09969078736762943, -0.05896182991409053, 0.3316785922413692, -0.13588272907354015, 0.013813112980375688, 0.1987380222650245, -0.21155815732354918, -0.1608836157526821, 0.12823444683492805, 0.1768475511483848, 0.14781530298292636, -0.16728612622867028, -0.047260841251312136, 0.005675079002976417, 0.23918459483422339, 0.08923173354628186, 0.10067351470390956, 0.3740486053749919, 0.1371293820099284, 0.00161795471329242, 0.10388490793062374, -0.3026058696272473, -0.026019390219201643, -0.24144188585768764, -0.08050667715879778, -0.11521955162286758, 0.09300151600356912, -0.08219155873773465, -0.15526694178581238, 0.40565265651792287, 0.10695182556752116, 0.17080016198723266, -0.01852623644595345, 0.2571597346772129, 0.10007388292656591, 0.07238332073116908, 0.11571235123090445, 0.3317242899040381, 0.1864421979842397, 0.12908005813757578, -0.25141247611803313, 0.032696386931153634, -0.04313095948038002] |
707.2095 | Universal nature of particle displacements close to glass and jamming
transitions | We examine the structure of the distribution of single particle displacements
(van-Hove function) in a broad class of materials close to glass and jamming
transitions. In a wide time window comprising structural relaxation, van-Hove
functions reflect the coexistence of slow and fast particles (dynamic
heterogeneity). The tails of the distributions exhibit exponential, rather than
Gaussian, decay. We argue that this behavior is universal in glassy materials
and should be considered the analog, in space, of the stretched exponential
decay of time correlation functions. We introduce a dynamical model that
describes quantitatively numerical and experimental data in supercooled
liquids, colloidal hard spheres and granular materials. The tails of the
distributions directly explain the decoupling between translational diffusion
and structural relaxation observed in glassy materials.
| cond-mat.stat-mech | we examine the structure of the distribution of single particle displacements vanhove function in a broad class of materials close to glass and jamming transitions in a wide time window comprising structural relaxation vanhove functions reflect the coexistence of slow and fast particles dynamic heterogeneity the tails of the distributions exhibit exponential rather than gaussian decay we argue that this behavior is universal in glassy materials and should be considered the analog in space of the stretched exponential decay of time correlation functions we introduce a dynamical model that describes quantitatively numerical and experimental data in supercooled liquids colloidal hard spheres and granular materials the tails of the distributions directly explain the decoupling between translational diffusion and structural relaxation observed in glassy materials | [['we', 'examine', 'the', 'structure', 'of', 'the', 'distribution', 'of', 'single', 'particle', 'displacements', 'vanhove', 'function', 'in', 'a', 'broad', 'class', 'of', 'materials', 'close', 'to', 'glass', 'and', 'jamming', 'transitions', 'in', 'a', 'wide', 'time', 'window', 'comprising', 'structural', 'relaxation', 'vanhove', 'functions', 'reflect', 'the', 'coexistence', 'of', 'slow', 'and', 'fast', 'particles', 'dynamic', 'heterogeneity', 'the', 'tails', 'of', 'the', 'distributions', 'exhibit', 'exponential', 'rather', 'than', 'gaussian', 'decay', 'we', 'argue', 'that', 'this', 'behavior', 'is', 'universal', 'in', 'glassy', 'materials', 'and', 'should', 'be', 'considered', 'the', 'analog', 'in', 'space', 'of', 'the', 'stretched', 'exponential', 'decay', 'of', 'time', 'correlation', 'functions', 'we', 'introduce', 'a', 'dynamical', 'model', 'that', 'describes', 'quantitatively', 'numerical', 'and', 'experimental', 'data', 'in', 'supercooled', 'liquids', 'colloidal', 'hard', 'spheres', 'and', 'granular', 'materials', 'the', 'tails', 'of', 'the', 'distributions', 'directly', 'explain', 'the', 'decoupling', 'between', 'translational', 'diffusion', 'and', 'structural', 'relaxation', 'observed', 'in', 'glassy', 'materials']] | [-0.12245885634083088, 0.23407996884297308, -0.16897836228363156, 0.10468320056939937, -0.005277795770122268, -0.14642883750999997, 0.020853891961155384, 0.38685828916221193, -0.3126423338776439, -0.24325715570248724, 0.026852879571024238, -0.27558267639753053, -0.17402636102112995, 0.09668815897955613, 0.030789613727540747, 0.10306222025850197, -0.03656358529275995, -0.07352800133100491, -0.09697085223066038, -0.1551212205066974, 0.25263967721276287, 0.021237610066991028, 0.30143218859273, 0.04911197890618407, 0.060926413815657846, 0.02283310635219805, 0.05273483356847087, 0.01829599022720486, -0.18778512740900033, 0.05215776890016547, 0.22186253034335568, 0.020099098207353335, 0.21304469142767896, -0.4335052546689181, -0.24917169745133175, 0.10305569841852033, 0.14235017090520966, 0.06507815995511061, -0.04143311742814333, -0.24375867341622348, 0.029406054524659383, -0.13614700706221344, -0.15488601224004797, -0.10056385889316236, 0.03482421116176539, 0.08273714822925234, -0.21325702541857974, 0.16438391704464378, 0.0750326014308891, 0.06279356478584733, -0.12413392970489899, -0.08027611981804778, 0.048131771633170575, 0.07221936836187554, 0.09194486355125087, -0.04006713040161696, 0.21094631050463494, -0.15388123514092852, -0.10072541739592873, 0.3764055310975669, -0.04872475141752606, -0.1454784406795795, 0.24470504793921502, -0.2276892207214624, -0.11575958720309948, 0.21709259776625692, 0.19173576718961016, 0.0870323234835897, -0.1511290806039933, 0.043411076681241695, -0.004474288185800963, 0.18768266930691596, 0.022015736207396278, 0.06146828992277142, 0.2140348171095962, 0.20981795508490225, -0.0025973013579481986, 0.20699286816653045, -0.09402174934530934, -0.1694830566856677, -0.2642172949948931, -0.1790508764741064, -0.23506902710996508, 0.025995294703549245, -0.12833538823273616, -0.2178648712995606, 0.3964433937439528, 0.07064262225209333, 0.23678244186974154, 0.07371185140540384, 0.184554304690971, 0.07085782622661048, 0.053898029975835385, 0.0369793862028462, 0.2401103472215979, 0.10810948919875896, 0.13723035568628855, -0.2457050518946707, 0.1289376028381833, -0.005903408007045102] |
707.2096 | Non-Markovian dynamics of a qubit coupled to an Ising spin bath | We study the analytically solvable Ising model of a single qubit system
coupled to a spin bath. The purpose of this study is to analyze and elucidate
the performance of Markovian and non-Markovian master equations describing the
dynamics of the system qubit, in comparison to the exact solution. We find that
the time-convolutionless master equation performs particularly well up to
fourth order in the system-bath coupling constant, in comparison to the
Nakajima-Zwanzig master equation. Markovian approaches fare poorly due to the
infinite bath correlation time in this model. A recently proposed
post-Markovian master equation performs comparably to the time-convolutionless
master equation for a properly chosen memory kernel, and outperforms all the
approximation methods considered here at long times. Our findings shed light on
the applicability of master equations to the description of reduced system
dynamics in the presence of spin-baths.
| quant-ph | we study the analytically solvable ising model of a single qubit system coupled to a spin bath the purpose of this study is to analyze and elucidate the performance of markovian and nonmarkovian master equations describing the dynamics of the system qubit in comparison to the exact solution we find that the timeconvolutionless master equation performs particularly well up to fourth order in the systembath coupling constant in comparison to the nakajimazwanzig master equation markovian approaches fare poorly due to the infinite bath correlation time in this model a recently proposed postmarkovian master equation performs comparably to the timeconvolutionless master equation for a properly chosen memory kernel and outperforms all the approximation methods considered here at long times our findings shed light on the applicability of master equations to the description of reduced system dynamics in the presence of spinbaths | [['we', 'study', 'the', 'analytically', 'solvable', 'ising', 'model', 'of', 'a', 'single', 'qubit', 'system', 'coupled', 'to', 'a', 'spin', 'bath', 'the', 'purpose', 'of', 'this', 'study', 'is', 'to', 'analyze', 'and', 'elucidate', 'the', 'performance', 'of', 'markovian', 'and', 'nonmarkovian', 'master', 'equations', 'describing', 'the', 'dynamics', 'of', 'the', 'system', 'qubit', 'in', 'comparison', 'to', 'the', 'exact', 'solution', 'we', 'find', 'that', 'the', 'timeconvolutionless', 'master', 'equation', 'performs', 'particularly', 'well', 'up', 'to', 'fourth', 'order', 'in', 'the', 'systembath', 'coupling', 'constant', 'in', 'comparison', 'to', 'the', 'nakajimazwanzig', 'master', 'equation', 'markovian', 'approaches', 'fare', 'poorly', 'due', 'to', 'the', 'infinite', 'bath', 'correlation', 'time', 'in', 'this', 'model', 'a', 'recently', 'proposed', 'postmarkovian', 'master', 'equation', 'performs', 'comparably', 'to', 'the', 'timeconvolutionless', 'master', 'equation', 'for', 'a', 'properly', 'chosen', 'memory', 'kernel', 'and', 'outperforms', 'all', 'the', 'approximation', 'methods', 'considered', 'here', 'at', 'long', 'times', 'our', 'findings', 'shed', 'light', 'on', 'the', 'applicability', 'of', 'master', 'equations', 'to', 'the', 'description', 'of', 'reduced', 'system', 'dynamics', 'in', 'the', 'presence', 'of', 'spinbaths']] | [-0.12091430791354339, 0.047397078756642126, -0.0825119806154232, 0.07328628176141397, -0.040108039832141784, -0.18744914100638457, 0.055973028556244184, 0.3303022686325546, -0.2456564247109262, -0.2663017544030611, 0.04563789090357854, -0.28676508696267516, -0.12870257272983768, 0.19086439601212207, 0.0038979335455223917, 0.0733847727732999, 0.08775184202074472, 0.03569528424081259, -0.0814001461540881, -0.2607603362861222, 0.26677055560451535, 0.026422397206936565, 0.26974466955954474, 0.003455541961427246, 0.16727611838307763, -0.013765116315335035, 0.040901258924610114, -0.04483637921512127, -0.11969995854747789, 0.016368595098278354, 0.23518758530262857, 0.019852452878175036, 0.27905397093854845, -0.43059568173651186, -0.215001376768175, 0.051739489300442594, 0.14892328327987342, 0.1967985449757959, 0.04931042704182411, -0.3070741753958698, -0.013575960604274379, -0.19202485273459127, -0.18002100189416004, -0.12021879032586834, -0.011254340869241528, 0.014887085538690111, -0.23190594901264247, 0.11430341295033161, 0.05024905469451499, -0.04483007102028621, -0.07274327864537813, -0.054553892643889414, 0.024522751167283526, 0.11877990382989602, -0.007526599914256492, 0.0043991908397791645, 0.10747137568624957, -0.12782809754301394, -0.09127904421807866, 0.3644300860219768, -0.15338410199370367, -0.25615588733926414, 0.17705033526955438, -0.13893376232756835, -0.12298722463061235, 0.09428115567924189, 0.16395643460564316, 0.13442430265713484, -0.2735535777573075, 0.11592163945024367, 0.02063310985852565, 0.16527380677871406, -0.006274827829162989, 0.02316273234318942, 0.06612223883026412, 0.21672089148445853, -0.015074822765641979, 0.16663768555237246, -0.0039366705027142805, -0.2360716740384565, -0.28276510455512577, -0.12187770771311729, -0.19969440159870178, 0.08839267294055649, -0.07899763765048452, -0.15188636240948525, 0.4223466935966696, 0.22635905177199414, 0.11295944611275835, 0.05891546435388071, 0.2912411623168737, 0.20537572134302795, 0.02158319338590705, 0.08803251390345394, 0.19661009056892778, 0.1865859658440708, 0.11555990856473468, -0.37776826794558604, 0.028963595058303326, 0.07479303248359688] |
707.2097 | Evolution of density perturbations in double exponential quintessence
models | In this work we investigate the evolution of matter density perturbations for
quintessence models with a self-interaction potential that is a combination of
exponentials. One of the models is based on the Einstein theory of gravity,
while the other is based on the Brans-Dicke scalar tensor theory. We constrain
the parameter space of the models using the determinations for the growth rate
of perturbations derived from data of the 2-degree Field Galaxy Redshift
Survey.
| astro-ph | in this work we investigate the evolution of matter density perturbations for quintessence models with a selfinteraction potential that is a combination of exponentials one of the models is based on the einstein theory of gravity while the other is based on the bransdicke scalar tensor theory we constrain the parameter space of the models using the determinations for the growth rate of perturbations derived from data of the 2degree field galaxy redshift survey | [['in', 'this', 'work', 'we', 'investigate', 'the', 'evolution', 'of', 'matter', 'density', 'perturbations', 'for', 'quintessence', 'models', 'with', 'a', 'selfinteraction', 'potential', 'that', 'is', 'a', 'combination', 'of', 'exponentials', 'one', 'of', 'the', 'models', 'is', 'based', 'on', 'the', 'einstein', 'theory', 'of', 'gravity', 'while', 'the', 'other', 'is', 'based', 'on', 'the', 'bransdicke', 'scalar', 'tensor', 'theory', 'we', 'constrain', 'the', 'parameter', 'space', 'of', 'the', 'models', 'using', 'the', 'determinations', 'for', 'the', 'growth', 'rate', 'of', 'perturbations', 'derived', 'from', 'data', 'of', 'the', '2degree', 'field', 'galaxy', 'redshift', 'survey']] | [-0.1227980715897551, 0.07334124402621307, -0.13022122381104007, 0.06818877287976746, -0.08037345355527627, -0.06845259371943571, -0.050695941748877836, 0.27105319140655165, -0.1871748543281511, -0.2855660373445701, 0.08786777581081952, -0.2731796016388044, -0.11495179856649122, 0.173406980277316, 0.024567849122340214, 0.022859511620088202, -0.008167580868167853, 0.05854792149133376, -0.08798436596623867, -0.28011725397428144, 0.42921204778139255, 0.08675014337751309, 0.22262404290204113, -0.023586256857458, 0.09847088613880899, -0.04072964528097293, -0.06260767182008035, 0.017849198334482248, -0.20039388800177146, 0.12589752865401474, 0.1431583743400355, 0.16616703405531086, 0.25540235245952736, -0.3906741134973394, -0.3011903234040113, 0.09951681266790507, 0.10410062165779842, 0.1430068074354298, -0.06444214321232426, -0.2793778550332865, 0.04324141627207487, -0.18323773795084372, -0.11495438390537291, -0.02401128178462386, -0.00629032718338626, 0.024881976590542174, -0.270092160315127, 0.14068645556973344, -0.03320293873548508, 0.015756597012482786, -0.16192866140045226, -0.0760977096144563, -0.021771493430777982, 0.035426582014691586, 0.09665192665242767, 0.051571605506831326, 0.14727670295365355, -0.21241285730895862, -0.057686657237354666, 0.41232790848290596, -0.1891880974777647, -0.1727548075865048, 0.1292032633209601, -0.1630472905392683, -0.1442351466598543, 0.025782553707186535, 0.17960541131528648, 0.13363180163542968, -0.13105700210340926, 0.19687586880565897, 0.01897849195252953, 0.19167573967117918, 0.016009044304892823, 0.013618307216667154, 0.2783814795013215, 0.14562724425608442, 0.03248802444117295, 0.07584868318706474, -0.09029101046129458, -0.08961621884608993, -0.3309695124374451, -0.12411396848541256, -0.18580479458654048, 0.02471538429224008, -0.16228625233713034, -0.18495800353687358, 0.412748320204382, 0.1517054287188158, 0.18078778320813324, 0.09467244752355523, 0.28383004783677895, 0.11213120984265933, 0.07974066215290411, 0.02271788234075585, 0.3279031400593954, 0.18696497556929653, 0.06559549944122901, -0.22544656193978782, -0.009321204103479112, 0.050834426477022875] |
707.2098 | Conjectures on Partitions of Integers as Summations of Primes | In this short note we present a class of conjectures on partitions of
integers as summations of primes, which are extensions of Goldbach conjecture.
| math.GM | in this short note we present a class of conjectures on partitions of integers as summations of primes which are extensions of goldbach conjecture | [['in', 'this', 'short', 'note', 'we', 'present', 'a', 'class', 'of', 'conjectures', 'on', 'partitions', 'of', 'integers', 'as', 'summations', 'of', 'primes', 'which', 'are', 'extensions', 'of', 'goldbach', 'conjecture']] | [-0.26771231469077367, 0.09334066894371063, -0.14205189157898226, 0.11312161841487978, -0.05298817654450735, -0.11712422763230279, 0.017086663933393236, 0.26685897276426357, -0.2758915175994237, -0.2825931247013311, 0.046695906149883136, -0.27116690652716596, -0.15565609101516506, 0.19544934450338283, -0.1354150812063987, 0.011068504420109093, 0.09539024465872596, -0.013406327149520317, -0.06363359528283279, -0.46812860124434036, 0.3832363127730787, -0.1082565428611512, 0.07300750305876136, 0.12107266980456188, 0.02441090946861853, 0.020784748524116974, 0.019207960770775873, -0.036179361399263144, -0.15612031049871197, 0.15735620625006655, 0.36084776076798636, 0.1314162082465676, 0.30563434089223546, -0.3936576498672366, -0.057094092917395756, 0.15783537466389438, 0.16229772204011775, 0.057922225304840445, -0.04202778046116388, -0.19574882190984985, 0.1500231510338684, -0.1651751782434682, -0.1614716138380269, -0.04577981331385672, 0.10868162505115227, 0.1422236415091902, -0.273148426009963, 0.06422717694658786, 0.15732062972771624, 0.1343213179303954, -0.016989507925851893, -0.19991024552534023, 0.16580641362816095, -0.012822965392842889, 0.11564472697985669, -0.06976497208233923, -0.07028310416111101, -0.06253067469030309, -0.23074424534570426, 0.3196155767266949, 0.01444130390882492, -0.16731000420016548, 0.0735990572720766, -0.1272588228651633, -0.2864156200666912, 0.06490545145546396, 0.10915614185311522, 0.20186888379976153, 0.009474493563175201, 0.1267961992173999, -0.28121012325088185, 0.10351298206175368, 0.23556441757439947, 0.06038931136329969, 0.23493499231214324, 0.03759333788184449, -0.0037442381338526807, 0.2263351303214828, -0.006681485751566167, -0.00010959353918830554, -0.38695704595496255, -0.21172395907342434, -0.19825945359965166, 0.1391926722911497, -0.04422453581355512, -0.2657287190668285, 0.4282644690635304, 0.1632111796255534, 0.16855771478731185, 0.25041025768829667, 0.18523597220579782, 0.03571413701380758, 0.05035994714125991, -0.027024602750316262, -0.022083047311753035, 0.19785896378258863, -0.06387825638133411, -0.03415882405048857, 0.01419096284856399, 0.21533398512595645] |
707.2099 | Optical Spectroscopy of the environment of a ULX in NGC 7331 | Optical photometric and spectroscopic data are presented that show an
association of an ultraluminous X-ray source in NGC 7331 with a young star
cluster of mass 1.1e5 solar masses and age 4.25 Myr. If the ULX is part of the
bright stellar cluster, then the mass of the progenitor of the compact accretor
must have been greater than about 40-50 solar masses in order to already have
evolved through the supernova stage to a compact object. The companion star is
also likely an evolved massive star. The emission line spectrum of the nebula
surrounding the cluster can be interpreted as a result of photoionization by
the cluster OB stars with an additional source of shock excitation producing
strong [SII], [OI] and NII lines. This additional source appears to be as much
as five times more powerful than the supernovae and stellar winds in the
cluster can provide. Additional mechanical energy input associated with the ULX
itself can help explain the residual shock excited line luminosities of the
emission region.
| astro-ph | optical photometric and spectroscopic data are presented that show an association of an ultraluminous xray source in ngc 7331 with a young star cluster of mass 11e5 solar masses and age 425 myr if the ulx is part of the bright stellar cluster then the mass of the progenitor of the compact accretor must have been greater than about 4050 solar masses in order to already have evolved through the supernova stage to a compact object the companion star is also likely an evolved massive star the emission line spectrum of the nebula surrounding the cluster can be interpreted as a result of photoionization by the cluster ob stars with an additional source of shock excitation producing strong sii oi and nii lines this additional source appears to be as much as five times more powerful than the supernovae and stellar winds in the cluster can provide additional mechanical energy input associated with the ulx itself can help explain the residual shock excited line luminosities of the emission region | [['optical', 'photometric', 'and', 'spectroscopic', 'data', 'are', 'presented', 'that', 'show', 'an', 'association', 'of', 'an', 'ultraluminous', 'xray', 'source', 'in', 'ngc', '7331', 'with', 'a', 'young', 'star', 'cluster', 'of', 'mass', '11e5', 'solar', 'masses', 'and', 'age', '425', 'myr', 'if', 'the', 'ulx', 'is', 'part', 'of', 'the', 'bright', 'stellar', 'cluster', 'then', 'the', 'mass', 'of', 'the', 'progenitor', 'of', 'the', 'compact', 'accretor', 'must', 'have', 'been', 'greater', 'than', 'about', '4050', 'solar', 'masses', 'in', 'order', 'to', 'already', 'have', 'evolved', 'through', 'the', 'supernova', 'stage', 'to', 'a', 'compact', 'object', 'the', 'companion', 'star', 'is', 'also', 'likely', 'an', 'evolved', 'massive', 'star', 'the', 'emission', 'line', 'spectrum', 'of', 'the', 'nebula', 'surrounding', 'the', 'cluster', 'can', 'be', 'interpreted', 'as', 'a', 'result', 'of', 'photoionization', 'by', 'the', 'cluster', 'ob', 'stars', 'with', 'an', 'additional', 'source', 'of', 'shock', 'excitation', 'producing', 'strong', 'sii', 'oi', 'and', 'nii', 'lines', 'this', 'additional', 'source', 'appears', 'to', 'be', 'as', 'much', 'as', 'five', 'times', 'more', 'powerful', 'than', 'the', 'supernovae', 'and', 'stellar', 'winds', 'in', 'the', 'cluster', 'can', 'provide', 'additional', 'mechanical', 'energy', 'input', 'associated', 'with', 'the', 'ulx', 'itself', 'can', 'help', 'explain', 'the', 'residual', 'shock', 'excited', 'line', 'luminosities', 'of', 'the', 'emission', 'region']] | [-0.039901100632944005, 0.10169491147348304, -0.04498849064387249, 0.1291450743808703, -0.1375495479469733, -0.06374461701712929, 0.02868316514064839, 0.47034292011218665, -0.1514323721281611, -0.3503446923968377, 0.0722664606698221, -0.27417663434112566, 0.04158796287505452, 0.2101647771843957, -0.043658438709245226, -0.07007701135896278, 0.1163651561171654, -0.003840845145564802, -0.018356398837406675, -0.2497876722781682, 0.3285829655098668, 0.09734287953070371, 0.07465447606959727, -0.0029559872339110405, 0.03877465255605332, -0.15838431508401574, -0.024913769984788663, -0.08605822128899528, -0.08450542632635916, 0.05971490118939143, 0.2177640018670733, 0.17136069887624084, 0.2136198025218834, -0.34602748339213213, -0.2445076431792516, 0.04654048010155823, 0.2586945653369529, 0.022590127897575585, -0.06006627480167766, -0.3033880493417658, 0.07457927945924141, -0.2350151631574714, -0.2032997539176016, 0.11875521037037025, 0.040228355403151915, 0.02842548905634845, -0.22421475870193108, 0.12206058967607124, 0.013763184197654826, 0.0853581352630553, -0.13190156489213894, -0.08680967203776777, -0.10347111141254034, 0.06665994464171797, 0.01593448396926448, 0.10835852002802156, 0.18079834979457352, -0.138796996803315, -0.02697445413362257, 0.4122842744036892, -0.04927804232344235, 0.03662971897634881, 0.247339183933063, -0.18650130043632884, -0.18068616991082878, 0.18728763380600416, 0.12562313705432013, 0.10744921508460091, -0.20269324330161131, -0.05120571366905306, -0.038102167947824006, 0.24973069970735717, 0.03790255782425889, 0.10299326361697918, 0.33956475102359196, 0.09692474704073224, 0.019224762375130367, 0.13586054990356017, -0.2599923617110764, -0.006891523857088484, -0.21448587239086186, -0.10447857951051032, -0.11217187728578522, 0.12619861465680396, -0.15612532655686448, -0.12610311394546336, 0.31296178772935324, 0.06104285270526741, 0.1887434364872373, -0.029686169704345202, 0.289250745720467, 0.13912356782707347, 0.12793069181567024, 0.14090399082044702, 0.3130490684429922, 0.2056869230613377, 0.07298205655960906, -0.2699493960096479, 0.06868227424386603, 0.00041301983695190685] |
707.21 | Relativistic Jets and Long-Duration Gamma-ray Bursts from the Birth of
Magnetars | We present time-dependent axisymmetric magnetohydrodynamic simulations of the
interaction of a relativistic magnetized wind produced by a proto-magnetar with
a surrounding stellar envelope, in the first $\sim 10$ seconds after core
collapse. We inject a super-magnetosonic wind with $\dot E = 10^{51}$ ergs
s$^{-1}$ into a cavity created by an outgoing supernova shock. A strong
toroidal magnetic field builds up in the bubble of plasma and magnetic field
that is at first inertially confined by the progenitor star. This drives a jet
out along the polar axis of the star, even though the star and the magnetar
wind are each spherically symmetric. The jet has the properties needed to
produce a long-duration gamma-ray burst (GRB). At $\sim 5$ s after core bounce,
the jet has escaped the host star and the Lorentz factor of the material in the
jet at large radii $\sim 10^{11}$ cm is similar to that in the magnetar wind
near the source. Most of the spindown power of the central magnetar escapes via
the relativistic jet. There are fluctuations in the Lorentz factor and energy
flux in the jet on $\sim 0.01-0.1$ second timescale. These may contribute to
variability in GRB emission (e.g., via internal shocks).
| astro-ph | we present timedependent axisymmetric magnetohydrodynamic simulations of the interaction of a relativistic magnetized wind produced by a protomagnetar with a surrounding stellar envelope in the first sim 10 seconds after core collapse we inject a supermagnetosonic wind with dot e 1051 ergs s1 into a cavity created by an outgoing supernova shock a strong toroidal magnetic field builds up in the bubble of plasma and magnetic field that is at first inertially confined by the progenitor star this drives a jet out along the polar axis of the star even though the star and the magnetar wind are each spherically symmetric the jet has the properties needed to produce a longduration gammaray burst grb at sim 5 s after core bounce the jet has escaped the host star and the lorentz factor of the material in the jet at large radii sim 1011 cm is similar to that in the magnetar wind near the source most of the spindown power of the central magnetar escapes via the relativistic jet there are fluctuations in the lorentz factor and energy flux in the jet on sim 00101 second timescale these may contribute to variability in grb emission eg via internal shocks | [['we', 'present', 'timedependent', 'axisymmetric', 'magnetohydrodynamic', 'simulations', 'of', 'the', 'interaction', 'of', 'a', 'relativistic', 'magnetized', 'wind', 'produced', 'by', 'a', 'protomagnetar', 'with', 'a', 'surrounding', 'stellar', 'envelope', 'in', 'the', 'first', 'sim', '10', 'seconds', 'after', 'core', 'collapse', 'we', 'inject', 'a', 'supermagnetosonic', 'wind', 'with', 'dot', 'e', '1051', 'ergs', 's1', 'into', 'a', 'cavity', 'created', 'by', 'an', 'outgoing', 'supernova', 'shock', 'a', 'strong', 'toroidal', 'magnetic', 'field', 'builds', 'up', 'in', 'the', 'bubble', 'of', 'plasma', 'and', 'magnetic', 'field', 'that', 'is', 'at', 'first', 'inertially', 'confined', 'by', 'the', 'progenitor', 'star', 'this', 'drives', 'a', 'jet', 'out', 'along', 'the', 'polar', 'axis', 'of', 'the', 'star', 'even', 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707.2101 | Quark Masses and Resummation in Precision QCD Theory | It is shown that amplitude-based, exact resummation tames the un-cancelled IR
divergences at O(alpha_s^2) in initial state radiation in QCD with massive
quarks. Implications for precision predictions for LHC physics are discussed.
| hep-ph | it is shown that amplitudebased exact resummation tames the uncancelled ir divergences at oalpha_s2 in initial state radiation in qcd with massive quarks implications for precision predictions for lhc physics are discussed | [['it', 'is', 'shown', 'that', 'amplitudebased', 'exact', 'resummation', 'tames', 'the', 'uncancelled', 'ir', 'divergences', 'at', 'oalpha_s2', 'in', 'initial', 'state', 'radiation', 'in', 'qcd', 'with', 'massive', 'quarks', 'implications', 'for', 'precision', 'predictions', 'for', 'lhc', 'physics', 'are', 'discussed']] | [-0.02869263226966723, 0.22244316509750206, -0.14081632676243316, 0.21769827175376122, -0.02543712896294892, -0.127922443440184, -0.03625368940993212, 0.37117833411321044, -0.10670965729514137, -0.20735081077873474, 0.048943768372737395, -0.3563590540725272, -0.012573444619192742, 0.12294082849984989, 0.032783400849439204, 0.1670060407195706, 0.12893679723492824, -0.008050127507885918, -0.06423210130742518, -0.26619369024410844, 0.2926002212334424, 0.09904927936804597, 0.2195981879485771, 0.1856386602303246, 0.04595356044592336, 0.03331940853240667, -0.0648303246271098, -0.06779588235076517, -0.08211075193798933, -0.03477023571031168, 0.32440944109112024, 0.04150752897839993, 0.14564272109419107, -0.33847676863661036, -0.16918393444211688, 0.03206243306340184, 0.17459385421534535, 0.15174962888704613, -0.10001999529777095, -0.21895374631276354, 0.10272076318506151, -0.2448544829385355, -0.19924583498504944, -0.14468246237083804, -0.005544066661968827, -0.1378761895466596, -0.37254084629239514, 0.07229077580177545, -0.12807807989156572, -0.02883787703467533, 0.021933706520940177, -0.23292122312705033, -0.03172912610170897, -0.01044284671661444, 0.14129159409640124, 0.11000015925674234, 0.1249714809237048, -0.31043619944830425, -0.18207965372130275, 0.37623646107385866, -0.007806885638274252, -0.14332178662880324, 0.15170957264490426, -0.23120594426291063, -0.219575707349577, 0.16000416973838583, 0.12892906134948134, 0.09216478074085899, -0.17030822922242805, 0.21749914536485448, 0.1158599170303205, 0.13805465371115133, 0.0825020821794169, 0.14782421973359305, 0.22202822036342695, 0.1411317855818197, -0.0429171244322788, 0.05664855183567852, 0.024527646113710944, -0.18050907691940665, -0.4568274081684649, -0.02997890421465854, -0.10929329105420038, 0.052217420234228484, -0.11099311424186453, -0.10028210384462, 0.2722760986944195, 0.21846289085806347, 0.15444323874544352, 0.06520529300905764, 0.3309026227798313, 0.14129716175375506, 0.05833215324673802, 0.11262141073530074, 0.3730784534709528, 0.1064862709317822, 0.13858312118100002, -0.3002422677964205, -0.04273432452464476, 0.15230048080411507] |
707.2102 | Search for one large extra dimension with the DELPHI detector at LEP2 | Single photons detected by the DELPHI experiment at LEP2 in the years
1997-2000 are used to investigate the existence of a single extra dimension in
a modifed ADD scenario with slightly warped large extra dimensions. The data
collected at centre-of-mass energies between 180 and 209 GeV for an integrated
luminosity of ~650 pb^-1 agree with the predictions of the Standard Model and
allow a limit to be set on graviton emission in one large extra dimension. The
limit obtained on the fundamental mass scale MD is 1.69 TeV at 95% CL, with an
expected limit of 1.71 TeV.
| hep-ex | single photons detected by the delphi experiment at lep2 in the years 19972000 are used to investigate the existence of a single extra dimension in a modifed add scenario with slightly warped large extra dimensions the data collected at centreofmass energies between 180 and 209 gev for an integrated luminosity of 650 pb1 agree with the predictions of the standard model and allow a limit to be set on graviton emission in one large extra dimension the limit obtained on the fundamental mass scale md is 169 tev at 95 cl with an expected limit of 171 tev | [['single', 'photons', 'detected', 'by', 'the', 'delphi', 'experiment', 'at', 'lep2', 'in', 'the', 'years', '19972000', 'are', 'used', 'to', 'investigate', 'the', 'existence', 'of', 'a', 'single', 'extra', 'dimension', 'in', 'a', 'modifed', 'add', 'scenario', 'with', 'slightly', 'warped', 'large', 'extra', 'dimensions', 'the', 'data', 'collected', 'at', 'centreofmass', 'energies', 'between', '180', 'and', '209', 'gev', 'for', 'an', 'integrated', 'luminosity', 'of', '650', 'pb1', 'agree', 'with', 'the', 'predictions', 'of', 'the', 'standard', 'model', 'and', 'allow', 'a', 'limit', 'to', 'be', 'set', 'on', 'graviton', 'emission', 'in', 'one', 'large', 'extra', 'dimension', 'the', 'limit', 'obtained', 'on', 'the', 'fundamental', 'mass', 'scale', 'md', 'is', '169', 'tev', 'at', '95', 'cl', 'with', 'an', 'expected', 'limit', 'of', '171', 'tev']] | [-0.05709169880601064, 0.17290810480201854, -0.012545079187661106, 0.11004912507915109, -0.01599033595994115, -0.14716141974810054, 0.034083703542318274, 0.3248472547310652, -0.15656602263868769, -0.41447340009011785, 0.07125214484106863, -0.3603733358144456, 0.10064376138473805, 0.18795963854538467, 0.05242036366170006, 0.04318549743097998, 0.10930328680278391, 0.035148536185353844, -0.013681421858230035, -0.23267248452508024, 0.2575415441462276, 0.12404675894816007, 0.24181516016405835, 0.06737636423869324, 0.1200171199125922, -0.010456025961558429, -0.014214079560978072, -0.07380863114043937, -0.12405274400715621, 0.11397541753890715, 0.2029395509435206, 0.054568325278672336, 0.16613294026453276, -0.3578736443489514, -0.13213786048510548, 0.10330018820003511, 0.13225793729688287, 0.029432011644679065, 0.013482410287275454, -0.3039280535767273, 0.1048071272908805, -0.19060420130892675, -0.16921402400891697, 0.05427074806683944, 0.016206448536594302, -0.13516898273623415, -0.27534068331397993, 0.10415243841137509, -0.07339819498497954, 0.10824461112141001, -0.053374751010073385, -0.1542905876127889, -0.06793670048129422, -0.005260483920099024, 0.045677388216397365, 0.07860843489797102, 0.12997609429175452, -0.08706663423978096, -0.1744312347549641, 0.34505590621134913, -0.1196600953223925, -0.11567859662155032, 0.23562220380907611, -0.1888937350809194, -0.13771638264214353, 0.19077845552356495, 0.21481852416348243, 0.046238786393624484, -0.20523093103868317, 0.1284176428904472, -0.027748498224596282, 0.24582781592307953, 0.11703988126174984, 0.05702380075746653, 0.2282432995158086, 0.21270527568769318, 0.014246666727929699, 0.09337849244926771, -0.17454636679981284, -0.03580992148086733, -0.3949795275432419, -0.058152282033210656, -0.12220834096779629, 0.10043499448659773, -0.14496246510041563, -0.017308351065849468, 0.32392992983020996, 0.13094589781320218, 0.3010751127208374, 0.0534738172415872, 0.24126219407332186, 0.12339946861293913, 0.11089175355107504, 0.09313031456110124, 0.34699776049285214, 0.07914722406029777, 0.13841243302544617, -0.14421580987032123, -0.06631463383115371, 0.01636005937102802] |
707.2103 | Absolute Calibration and Characterization of the Multiband Imaging
Photometer for Spitzer. III. An Asteroid-based Calibration of MIPS at 160
microns | We describe the absolute calibration of the Multiband Imaging Photometer for
Spitzer (MIPS) 160 micron channel. After the on-orbit discovery of a near-IR
ghost image that dominates the signal for sources hotter than about 2000 K, we
adopted a strategy utilizing asteroids to transfer the absolute calibrations of
the MIPS 24 and 70 micron channels to the 160 micron channel. Near-simultaneous
observations at all three wavelengths are taken, and photometry at the two
shorter wavelengths is fit using the Standard Thermal Model. The 160 micron
flux density is predicted from those fits and compared with the observed 160
micron signal to derive the conversion from instrumental units to surface
brightness. The calibration factor we derive is 41.7 MJy/sr/MIPS160 (MIPS160
being the instrumental units). The scatter in the individual measurements of
the calibration factor, as well as an assesment of the external uncertainties
inherent in the calibration, lead us to adopt an uncertainty of 5.0
MJy/sr/MIPS160 (12%) for the absolute uncertainty on the 160 micron flux
density of a particular source as determined from a single measurement. For
sources brighter than about 2 Jy, non-linearity in the response of the 160
micron detectors produces an under-estimate of the flux density: for objects as
bright as 4 Jy, measured flux densities are likely to be ~20% too low. This
calibration has been checked against that of ISO (using ULIRGS) and IRAS (using
IRAS-derived diameters), and is consistent with those at the 5% level.
| astro-ph | we describe the absolute calibration of the multiband imaging photometer for spitzer mips 160 micron channel after the onorbit discovery of a nearir ghost image that dominates the signal for sources hotter than about 2000 k we adopted a strategy utilizing asteroids to transfer the absolute calibrations of the mips 24 and 70 micron channels to the 160 micron channel nearsimultaneous observations at all three wavelengths are taken and photometry at the two shorter wavelengths is fit using the standard thermal model the 160 micron flux density is predicted from those fits and compared with the observed 160 micron signal to derive the conversion from instrumental units to surface brightness the calibration factor we derive is 417 mjysrmips160 mips160 being the instrumental units the scatter in the individual measurements of the calibration factor as well as an assesment of the external uncertainties inherent in the calibration lead us to adopt an uncertainty of 50 mjysrmips160 12 for the absolute uncertainty on the 160 micron flux density of a particular source as determined from a single measurement for sources brighter than about 2 jy nonlinearity in the response of the 160 micron detectors produces an underestimate of the flux density for objects as bright as 4 jy measured flux densities are likely to be 20 too low this calibration has been checked against that of iso using ulirgs and iras using irasderived diameters and is consistent with those at the 5 level | [['we', 'describe', 'the', 'absolute', 'calibration', 'of', 'the', 'multiband', 'imaging', 'photometer', 'for', 'spitzer', 'mips', '160', 'micron', 'channel', 'after', 'the', 'onorbit', 'discovery', 'of', 'a', 'nearir', 'ghost', 'image', 'that', 'dominates', 'the', 'signal', 'for', 'sources', 'hotter', 'than', 'about', '2000', 'k', 'we', 'adopted', 'a', 'strategy', 'utilizing', 'asteroids', 'to', 'transfer', 'the', 'absolute', 'calibrations', 'of', 'the', 'mips', '24', 'and', '70', 'micron', 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707.2104 | Spin-glass state of vortices in YBa2Cu3Oy and La2-xSrxCuO4 below the
metal-to-insulator crossover | Highly disordered magnetism confined to individual weakly interacting
vortices is detected by muon spin rotation in two different families of
high-transition-temperature superconductors, but only in samples on the
low-doping side of the low-temperature normal state metal-to-insulator
crossover (MIC). The results support an extended quantum phase transition (QPT)
theory of competing magnetic and superconducting orders that incorporates the
coupling between CuO2 planes. Contrary to what has been inferred from previous
experiments, the static magnetism that coexists with superconductivity near the
field-induced QPT is not ordered. Our findings unravel the mystery of the MIC
and establish that the normal state of high-temperature superconductors is
ubiquitously governed by a magnetic quantum critical point in the
superconducting phase.
| cond-mat.supr-con | highly disordered magnetism confined to individual weakly interacting vortices is detected by muon spin rotation in two different families of hightransitiontemperature superconductors but only in samples on the lowdoping side of the lowtemperature normal state metaltoinsulator crossover mic the results support an extended quantum phase transition qpt theory of competing magnetic and superconducting orders that incorporates the coupling between cuo2 planes contrary to what has been inferred from previous experiments the static magnetism that coexists with superconductivity near the fieldinduced qpt is not ordered our findings unravel the mystery of the mic and establish that the normal state of hightemperature superconductors is ubiquitously governed by a magnetic quantum critical point in the superconducting phase | [['highly', 'disordered', 'magnetism', 'confined', 'to', 'individual', 'weakly', 'interacting', 'vortices', 'is', 'detected', 'by', 'muon', 'spin', 'rotation', 'in', 'two', 'different', 'families', 'of', 'hightransitiontemperature', 'superconductors', 'but', 'only', 'in', 'samples', 'on', 'the', 'lowdoping', 'side', 'of', 'the', 'lowtemperature', 'normal', 'state', 'metaltoinsulator', 'crossover', 'mic', 'the', 'results', 'support', 'an', 'extended', 'quantum', 'phase', 'transition', 'qpt', 'theory', 'of', 'competing', 'magnetic', 'and', 'superconducting', 'orders', 'that', 'incorporates', 'the', 'coupling', 'between', 'cuo2', 'planes', 'contrary', 'to', 'what', 'has', 'been', 'inferred', 'from', 'previous', 'experiments', 'the', 'static', 'magnetism', 'that', 'coexists', 'with', 'superconductivity', 'near', 'the', 'fieldinduced', 'qpt', 'is', 'not', 'ordered', 'our', 'findings', 'unravel', 'the', 'mystery', 'of', 'the', 'mic', 'and', 'establish', 'that', 'the', 'normal', 'state', 'of', 'hightemperature', 'superconductors', 'is', 'ubiquitously', 'governed', 'by', 'a', 'magnetic', 'quantum', 'critical', 'point', 'in', 'the', 'superconducting', 'phase']] | [-0.19376041949522405, 0.2858606416951883, -0.026517700412098253, 0.029742657573558717, -0.04883574370883013, -0.18113563537777386, 0.1046810689976586, 0.3500447992660236, -0.2367976721858181, -0.23834607700343458, 0.0025645746908706138, -0.35694958191168935, -0.11906471197787476, 0.16264238780397072, 0.0668324156288515, -0.009056494303717556, -0.09889791372411869, -0.0013211685755665887, -0.13348222973045745, -0.22997322399986156, 0.33262318980230604, -0.027262146984994934, 0.3715899309568238, 0.041474572325680865, 0.02037006280417636, -0.05798101043655423, 0.15369568563376865, 0.02578658323016083, -0.1397161926213716, 0.009815678856204869, 0.30538920798387964, -0.06317359128795368, 0.16184493719208004, -0.4552090996549579, -0.24505704803098188, 0.03277142997333277, 0.1540398148354143, 0.11154902005045299, -0.07270022060746621, -0.31870546350419, 0.028003596818164448, -0.0891914984983343, -0.11565373802410536, -0.10053305572977192, -0.05225466487504411, -0.043456959006633905, -0.1987537924208466, 0.12024136079197521, 0.109582195893796, 0.12127783601253964, -0.07672543033116024, -0.07916521551005803, -0.04478382007749915, 0.04884988939994129, 0.03486857500147859, 0.10874371637443178, 0.13577473113923988, -0.12919195338914155, -0.1562578705182348, 0.3069452866503413, -0.0006040474563314204, -0.016274452378989702, 0.22446608222334793, -0.2123480356265709, -0.08857280713211942, 0.17918753715256522, 0.06038126709315468, 0.0763393262924071, -0.13605450071688546, 0.06462464301352668, -0.04304614278749285, 0.22310146542491693, -0.017325656909266848, 0.06267825942159745, 0.31069290410857975, 0.2217634126396948, 0.03016182421624922, 0.12951338777457477, -0.12505573440106227, -0.16628080211056953, -0.21648773269956573, -0.17054509728423958, -0.23687256658817396, 0.030759517730570098, -0.05754165212483872, -0.21002574029721713, 0.35470683174820516, 0.20536022898822762, 0.17316321681841815, -0.12286989930241059, 0.2237915088332732, 0.07091046700748337, 0.05552304825712845, 0.055432712871646674, 0.2938393598193662, 0.20439207004464902, 0.10712578346985474, -0.30060231934603826, 0.11372159069900303, 0.027787805571661967] |
707.2105 | A model for cyclotron resonance scattering features | (abbreviated version of the abstract) We study the physics of cyclotron line
formation in the high-energy spectra of accreting X-ray pulsars using Monte
Carlo methods, assuming that the line-forming region is a low-density electron
plasma in a sub-critical magnetic field. We investigate the dependence of the
shape of the fundamental line on angle, geometry, optical depth and
temperature. We also discuss variations of the line ratios for non-uniform
magnetic fields. These numerical predictions for the line profiles are linked
to results from observational data analysis using an XSPEC model based on the
Monte Carlo simulations. We apply this model to observational data from RXTE
and INTEGRAL. The predicted strong emission wings of the fundamental cyclotron
feature are not found in observational data, hinting at a bottom illuminated
slab geometry for line formation.
| astro-ph | abbreviated version of the abstract we study the physics of cyclotron line formation in the highenergy spectra of accreting xray pulsars using monte carlo methods assuming that the lineforming region is a lowdensity electron plasma in a subcritical magnetic field we investigate the dependence of the shape of the fundamental line on angle geometry optical depth and temperature we also discuss variations of the line ratios for nonuniform magnetic fields these numerical predictions for the line profiles are linked to results from observational data analysis using an xspec model based on the monte carlo simulations we apply this model to observational data from rxte and integral the predicted strong emission wings of the fundamental cyclotron feature are not found in observational data hinting at a bottom illuminated slab geometry for line formation | [['abbreviated', 'version', 'of', 'the', 'abstract', 'we', 'study', 'the', 'physics', 'of', 'cyclotron', 'line', 'formation', 'in', 'the', 'highenergy', 'spectra', 'of', 'accreting', 'xray', 'pulsars', 'using', 'monte', 'carlo', 'methods', 'assuming', 'that', 'the', 'lineforming', 'region', 'is', 'a', 'lowdensity', 'electron', 'plasma', 'in', 'a', 'subcritical', 'magnetic', 'field', 'we', 'investigate', 'the', 'dependence', 'of', 'the', 'shape', 'of', 'the', 'fundamental', 'line', 'on', 'angle', 'geometry', 'optical', 'depth', 'and', 'temperature', 'we', 'also', 'discuss', 'variations', 'of', 'the', 'line', 'ratios', 'for', 'nonuniform', 'magnetic', 'fields', 'these', 'numerical', 'predictions', 'for', 'the', 'line', 'profiles', 'are', 'linked', 'to', 'results', 'from', 'observational', 'data', 'analysis', 'using', 'an', 'xspec', 'model', 'based', 'on', 'the', 'monte', 'carlo', 'simulations', 'we', 'apply', 'this', 'model', 'to', 'observational', 'data', 'from', 'rxte', 'and', 'integral', 'the', 'predicted', 'strong', 'emission', 'wings', 'of', 'the', 'fundamental', 'cyclotron', 'feature', 'are', 'not', 'found', 'in', 'observational', 'data', 'hinting', 'at', 'a', 'bottom', 'illuminated', 'slab', 'geometry', 'for', 'line', 'formation']] | [-0.07269510547947985, 0.08635994678843417, -0.07115729526567245, 0.12560774204250652, -0.07948002048457663, -0.08144562267063354, 0.025678089477658046, 0.45399910482493316, -0.22209375303954762, -0.3090909155628954, 0.08830848480945198, -0.2854212630384912, -0.043539546934577324, 0.2560416575570619, 0.030076349455515756, 0.018276784516108983, 0.0573382190901391, -0.0685443314018123, -0.06874873056111744, -0.14698794933043025, 0.32178810811919073, 0.11413900269138993, 0.2503748147049037, 0.05617817162507863, 0.02180502488485989, -0.020097625759345563, -0.0653442238055339, 0.02990930260751735, -0.18332274446931313, 0.08680352945388718, 0.20207839029149688, 0.07829545587689306, 0.14808860728799395, -0.4172920414941583, -0.24433944104803781, 0.035034891962299516, 0.1457850934486046, 0.08805221823665003, -0.0775367466231921, -0.26201529982923105, 0.020379563363156085, -0.13643973766804926, -0.16744469538962498, 0.009998632066664428, -0.013267518416713838, 0.051533407986756756, -0.2357022350505841, 0.06702626243416242, 0.0073234686966646804, 0.1230999747375873, -0.1143051099991708, -0.08045065502819577, -0.02975801192929573, 0.04174897293154517, 0.044832545334374474, 0.010308296844110979, 0.17031278108444178, -0.13095394869610158, -0.10610014318036988, 0.3544640189572943, -0.07998720307086567, -0.07164409954919282, 0.17754177400087373, -0.2171502296026147, -0.16973981129315993, 0.18550210921305485, 0.173596122972385, 0.11113468106045868, -0.1002731620277645, 0.06535490196653303, -0.0748603371973855, 0.19922101435561976, 0.011488642818717794, -0.025578920292018942, 0.2916447289612596, 0.1372066075978871, -0.039257561481049794, 0.1450146493681876, -0.23431157778990877, -0.08996331216555765, -0.2840071464747642, -0.08755268572801442, -0.13976257625494548, 0.041598634070396656, -0.09173998808127538, -0.1854862036522139, 0.36823323144132947, 0.17474406843327664, 0.19574780539948156, -0.0032454584936865353, 0.31697840052727383, 0.13024968969297002, 0.03307012299950601, 0.09767254736895363, 0.26185780173082923, 0.19011412181355286, 0.12626967612992634, -0.2633104847989285, 0.04649727875155143, 0.04600005898144886] |
707.2106 | Coordinate Confusion in Conformal Cosmology | A straight-forward interpretation of standard
Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmologies is that objects move
apart due to the expansion of space, and that sufficiently distant galaxies
must be receding at velocities exceeding the speed of light. Recently, however,
it has been suggested that a simple transformation into conformal coordinates
can remove superluminal recession velocities, and hence the concept of the
expansion of space should be abandoned. This work demonstrates that such
conformal transformations do not eliminate superluminal recession velocities
for open or flat matter-only FRLW cosmologies, and all possess superluminal
expansion. Hence, the attack on the concept of the expansion of space based on
this is poorly founded. This work concludes by emphasizing that the expansion
of space is perfectly valid in the general relativistic framework, however,
asking the question of whether space really expands is a futile exercise.
| astro-ph | a straightforward interpretation of standard friedmannlemaitrerobertsonwalker flrw cosmologies is that objects move apart due to the expansion of space and that sufficiently distant galaxies must be receding at velocities exceeding the speed of light recently however it has been suggested that a simple transformation into conformal coordinates can remove superluminal recession velocities and hence the concept of the expansion of space should be abandoned this work demonstrates that such conformal transformations do not eliminate superluminal recession velocities for open or flat matteronly frlw cosmologies and all possess superluminal expansion hence the attack on the concept of the expansion of space based on this is poorly founded this work concludes by emphasizing that the expansion of space is perfectly valid in the general relativistic framework however asking the question of whether space really expands is a futile exercise | [['a', 'straightforward', 'interpretation', 'of', 'standard', 'friedmannlemaitrerobertsonwalker', 'flrw', 'cosmologies', 'is', 'that', 'objects', 'move', 'apart', 'due', 'to', 'the', 'expansion', 'of', 'space', 'and', 'that', 'sufficiently', 'distant', 'galaxies', 'must', 'be', 'receding', 'at', 'velocities', 'exceeding', 'the', 'speed', 'of', 'light', 'recently', 'however', 'it', 'has', 'been', 'suggested', 'that', 'a', 'simple', 'transformation', 'into', 'conformal', 'coordinates', 'can', 'remove', 'superluminal', 'recession', 'velocities', 'and', 'hence', 'the', 'concept', 'of', 'the', 'expansion', 'of', 'space', 'should', 'be', 'abandoned', 'this', 'work', 'demonstrates', 'that', 'such', 'conformal', 'transformations', 'do', 'not', 'eliminate', 'superluminal', 'recession', 'velocities', 'for', 'open', 'or', 'flat', 'matteronly', 'frlw', 'cosmologies', 'and', 'all', 'possess', 'superluminal', 'expansion', 'hence', 'the', 'attack', 'on', 'the', 'concept', 'of', 'the', 'expansion', 'of', 'space', 'based', 'on', 'this', 'is', 'poorly', 'founded', 'this', 'work', 'concludes', 'by', 'emphasizing', 'that', 'the', 'expansion', 'of', 'space', 'is', 'perfectly', 'valid', 'in', 'the', 'general', 'relativistic', 'framework', 'however', 'asking', 'the', 'question', 'of', 'whether', 'space', 'really', 'expands', 'is', 'a', 'futile', 'exercise']] | [-0.11343528167514579, 0.1662085802246728, -0.15345816370303722, 0.0643752539363846, -0.18748593054045617, -0.1362036832499515, 0.0011071814907639098, 0.3748951681012655, -0.2256671040655406, -0.2609283248137642, 0.09179140566457335, -0.21390409892200607, -0.10224527005874381, 0.186419962523811, -0.0903564603747732, -0.021894922466391194, 0.0476628692334613, 0.019630005481197452, -0.07642026283152836, -0.2772749885678781, 0.32733198788261764, 0.09648226820489894, 0.2624325801101751, -0.0016083463305865762, 0.1452307854133257, -0.0503100380437435, -0.05747497447827545, 0.07231660565105606, -0.09618297759508315, 0.08104975637130059, 0.20385083514707583, 0.17587033151580958, 0.2730954803635169, -0.37870829163567865, -0.27073571378922595, 0.10439432019462985, 0.20369936405837427, 0.1376163188680789, -0.019078484901233855, -0.2886504244983849, 0.02334839571883433, -0.1592193474367696, -0.2027144924207271, -0.06953059696850714, 0.04943936909922827, -0.0678906949176657, -0.16179667620318025, 0.10494102510278105, 0.05870626690070124, 0.013908355023089906, -0.04378573813842759, 0.002458920509445678, 0.004583570582751375, 0.07322602108440424, 0.07054239284140092, 0.04323529475878408, 0.11817977375548033, -0.09575191476844577, -0.07411102969607297, 0.45559919144224076, -0.05165011999979072, -0.17706840838829097, 0.1704372023283266, -0.17186775238994156, -0.13683415497959095, 0.11512326837660078, 0.12233332953165986, 0.09919867637723576, -0.13941913974398312, 0.1336241841114833, -0.039060763732604954, 0.11150222820532338, 0.13372960490901975, 0.007129569876561771, 0.26451218209440147, 0.07387449242256201, 0.04437932858318362, 0.03585284344009022, -0.021471074670145328, -0.08305779312580933, -0.35290314005619855, -0.1785187209364924, -0.17215543172413986, 0.05637278189097895, -0.0905403856280044, -0.18087845499606897, 0.3167661633563439, 0.1521986690084331, 0.17903696169845595, 0.038004441530083435, 0.3012127108790361, 0.05584656647712427, 0.07324297963403655, 0.13633026191488887, 0.3159467385415613, 0.07620262158490772, 0.07710628823146061, -0.19088011845456856, 0.07452482015343152, 0.06438104989836468] |
707.2107 | Multiphoton antiresonance in large-spin systems | We study nonlinear response of a spin $S>1/2$ with easy-axis anisotropy. The
response displays sharp dips or peaks when the modulation frequency is
adiabatically swept through multiphoton resonance. The effect is a consequence
of a special symmetry of the spin dynamics in a magnetic field for the
anisotropy energy $\propto S_z^2$. The occurrence of the dips or peaks is
determined by the spin state. Their shape strongly depends on the modulation
amplitude. Higher-order anisotropy breaks the symmetry, leading to sharp steps
in the response as function of frequency. The results bear on the dynamics of
molecular magnets in a static magnetic field.
| cond-mat.mes-hall | we study nonlinear response of a spin s12 with easyaxis anisotropy the response displays sharp dips or peaks when the modulation frequency is adiabatically swept through multiphoton resonance the effect is a consequence of a special symmetry of the spin dynamics in a magnetic field for the anisotropy energy propto s_z2 the occurrence of the dips or peaks is determined by the spin state their shape strongly depends on the modulation amplitude higherorder anisotropy breaks the symmetry leading to sharp steps in the response as function of frequency the results bear on the dynamics of molecular magnets in a static magnetic field | [['we', 'study', 'nonlinear', 'response', 'of', 'a', 'spin', 's12', 'with', 'easyaxis', 'anisotropy', 'the', 'response', 'displays', 'sharp', 'dips', 'or', 'peaks', 'when', 'the', 'modulation', 'frequency', 'is', 'adiabatically', 'swept', 'through', 'multiphoton', 'resonance', 'the', 'effect', 'is', 'a', 'consequence', 'of', 'a', 'special', 'symmetry', 'of', 'the', 'spin', 'dynamics', 'in', 'a', 'magnetic', 'field', 'for', 'the', 'anisotropy', 'energy', 'propto', 's_z2', 'the', 'occurrence', 'of', 'the', 'dips', 'or', 'peaks', 'is', 'determined', 'by', 'the', 'spin', 'state', 'their', 'shape', 'strongly', 'depends', 'on', 'the', 'modulation', 'amplitude', 'higherorder', 'anisotropy', 'breaks', 'the', 'symmetry', 'leading', 'to', 'sharp', 'steps', 'in', 'the', 'response', 'as', 'function', 'of', 'frequency', 'the', 'results', 'bear', 'on', 'the', 'dynamics', 'of', 'molecular', 'magnets', 'in', 'a', 'static', 'magnetic', 'field']] | [-0.23331005057541304, 0.20719260080155022, -0.06301855344306861, 0.036553719340325655, -0.08395627843207994, -0.08165413297546825, 0.0037068714673566348, 0.370434295404518, -0.2583397394507238, -0.2742170626170804, 0.04592179960345315, -0.2815522197195984, -0.13186708520429374, 0.18738529846385713, 0.07685236461774105, -0.016448742802264077, -0.04014639056628883, 0.04667111684909404, -0.07649385373541477, -0.1368205918386431, 0.28366623059062673, 0.04602150098042618, 0.3028377455354917, 0.06565899943176767, 0.053171507765234695, 0.04838025994313014, 0.11730825277921365, -0.011086297802405783, -0.12315189255641239, 0.0032848881437710607, 0.16616825771398178, -0.06330617548584348, 0.2047117786196125, -0.4342545952352852, -0.18639291423179283, 0.04135654182496047, 0.13182474028245353, 0.1368339480832219, -0.036317631208088876, -0.26806956681764066, -0.04499605720364811, -0.08838437555708212, -0.19535528573825364, -0.06306541543500037, 0.002311005093397038, 0.06004818974957239, -0.2765949362759838, 0.17666329487715618, 0.12189129167605228, 0.11090893819374908, -0.07722548661421579, -0.048744965630518916, -0.0682866586197057, 0.033246497839451813, 0.08746340666381218, 0.0592065512128912, 0.18149559681838617, -0.15788076395666836, -0.11625017628700722, 0.3430132235188295, -0.10460924603146418, -0.1367361244643545, 0.09994772956752689, -0.23119100259321898, -0.08738897084304602, 0.20259250712806895, 0.1378703154254668, 0.07143125132978018, -0.06394075049795694, 0.07241596994082453, 0.042950727142356704, 0.2038139906172447, 0.05762603971185071, 0.06433549387343597, 0.2651561182361133, 0.15789560461186314, 0.04998352608210085, 0.18108926154903626, -0.168725964269776, -0.06314900683441965, -0.24392206114855144, -0.08554525945409394, -0.2186418455094099, 0.07487598652628684, -0.07827715858618128, -0.18899556498347533, 0.4848522868394704, 0.08147270165125628, 0.22076512597925443, -0.05131005627186139, 0.28017575271648937, 0.18944170489091205, 0.0785914559198525, 0.03399100188294997, 0.27329307215491144, 0.19687590241031075, 0.11573432253599905, -0.33601380917381973, 0.06365331811922612, -0.0247407742098232] |
707.2108 | Supersonic flow onto a solid wedge | We consider the problem of 2D supersonic flow onto a solid wedge, or
equivalently in a concave corner formed by two solid walls. For mild corners,
there are two possible steady state solutions, one with a strong and one with a
weak shock emanating from the corner. The weak shock is observed in supersonic
flights. A long-standing natural conjecture is that the strong shock is
unstable in some sense.
We resolve this issue by showing that a sharp wedge will eventually produce
weak shocks at the tip when accelerated to a supersonic speed. More precisely
we prove that for upstream state as initial data in the entire domain, the
time-dependent solution is self-similar, with a weak shock at the tip of the
wedge. We construct analytic solutions for self-similar potential flow, both
isothermal and isentropic with arbitrary $\gamma\geq 1$.
In the process of constructing the self-similar solution, we develop a large
number of theoretical tools for these elliptic regions. These tools allow us to
establish large-data results rather than a small perturbation. We show that the
wave pattern persists as long as the weak shock is supersonic-supersonic; when
this is no longer true, numerics show a physical change of behaviour. In
addition we obtain rather detailed information about the elliptic region,
including analyticity as well as bounds for velocity components and shock
tangents.
| math-ph math.MP | we consider the problem of 2d supersonic flow onto a solid wedge or equivalently in a concave corner formed by two solid walls for mild corners there are two possible steady state solutions one with a strong and one with a weak shock emanating from the corner the weak shock is observed in supersonic flights a longstanding natural conjecture is that the strong shock is unstable in some sense we resolve this issue by showing that a sharp wedge will eventually produce weak shocks at the tip when accelerated to a supersonic speed more precisely we prove that for upstream state as initial data in the entire domain the timedependent solution is selfsimilar with a weak shock at the tip of the wedge we construct analytic solutions for selfsimilar potential flow both isothermal and isentropic with arbitrary gammageq 1 in the process of constructing the selfsimilar solution we develop a large number of theoretical tools for these elliptic regions these tools allow us to establish largedata results rather than a small perturbation we show that the wave pattern persists as long as the weak shock is supersonicsupersonic when this is no longer true numerics show a physical change of behaviour in addition we obtain rather detailed information about the elliptic region including analyticity as well as bounds for velocity components and shock tangents | [['we', 'consider', 'the', 'problem', 'of', '2d', 'supersonic', 'flow', 'onto', 'a', 'solid', 'wedge', 'or', 'equivalently', 'in', 'a', 'concave', 'corner', 'formed', 'by', 'two', 'solid', 'walls', 'for', 'mild', 'corners', 'there', 'are', 'two', 'possible', 'steady', 'state', 'solutions', 'one', 'with', 'a', 'strong', 'and', 'one', 'with', 'a', 'weak', 'shock', 'emanating', 'from', 'the', 'corner', 'the', 'weak', 'shock', 'is', 'observed', 'in', 'supersonic', 'flights', 'a', 'longstanding', 'natural', 'conjecture', 'is', 'that', 'the', 'strong', 'shock', 'is', 'unstable', 'in', 'some', 'sense', 'we', 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707.2109 | Bose-Einstein condensation in an optical lattice | In this paper we develop an analytic expression for the critical temperature
for a gas of ideal bosons in a combined harmonic lattice potential, relevant to
current experiments using optical lattices. We give corrections to the critical
temperature arising from effective mass modifications of the low energy
spectrum, finite size effects and excited band states. We compute the critical
temperature using numerical methods and compare to our analytic result. We
study condensation in an optical lattice over a wide parameter regime and
demonstrate that the critical temperature can be increased or reduced relative
to the purely harmonic case by adjusting the harmonic trap frequency. We show
that a simple numerical procedure based on a piecewise analytic density of
states provides an accurate prediction for the critical temperature.
| cond-mat.other | in this paper we develop an analytic expression for the critical temperature for a gas of ideal bosons in a combined harmonic lattice potential relevant to current experiments using optical lattices we give corrections to the critical temperature arising from effective mass modifications of the low energy spectrum finite size effects and excited band states we compute the critical temperature using numerical methods and compare to our analytic result we study condensation in an optical lattice over a wide parameter regime and demonstrate that the critical temperature can be increased or reduced relative to the purely harmonic case by adjusting the harmonic trap frequency we show that a simple numerical procedure based on a piecewise analytic density of states provides an accurate prediction for the critical temperature | [['in', 'this', 'paper', 'we', 'develop', 'an', 'analytic', 'expression', 'for', 'the', 'critical', 'temperature', 'for', 'a', 'gas', 'of', 'ideal', 'bosons', 'in', 'a', 'combined', 'harmonic', 'lattice', 'potential', 'relevant', 'to', 'current', 'experiments', 'using', 'optical', 'lattices', 'we', 'give', 'corrections', 'to', 'the', 'critical', 'temperature', 'arising', 'from', 'effective', 'mass', 'modifications', 'of', 'the', 'low', 'energy', 'spectrum', 'finite', 'size', 'effects', 'and', 'excited', 'band', 'states', 'we', 'compute', 'the', 'critical', 'temperature', 'using', 'numerical', 'methods', 'and', 'compare', 'to', 'our', 'analytic', 'result', 'we', 'study', 'condensation', 'in', 'an', 'optical', 'lattice', 'over', 'a', 'wide', 'parameter', 'regime', 'and', 'demonstrate', 'that', 'the', 'critical', 'temperature', 'can', 'be', 'increased', 'or', 'reduced', 'relative', 'to', 'the', 'purely', 'harmonic', 'case', 'by', 'adjusting', 'the', 'harmonic', 'trap', 'frequency', 'we', 'show', 'that', 'a', 'simple', 'numerical', 'procedure', 'based', 'on', 'a', 'piecewise', 'analytic', 'density', 'of', 'states', 'provides', 'an', 'accurate', 'prediction', 'for', 'the', 'critical', 'temperature']] | [-0.10079715138816414, 0.1462934789660077, -0.07380299122571417, 0.04000901301688419, -0.01427852379444136, -0.10272351421019811, 0.10165459681100644, 0.3782052256049603, -0.2278914560497863, -0.23187769678105988, 0.0770259748999484, -0.2578819583602778, -0.11965737195399509, 0.2507067718194783, 0.00544366489098532, 0.07272274132935315, 0.011063714390693922, 0.013793426866489133, -0.09942692399618956, -0.1908380880321222, 0.3259659130621232, 0.0826946755937176, 0.270523447257386, 0.14218538100501216, 0.06935210009362167, 0.0036582474021138404, 0.03599786845321848, 0.039109873899816, -0.20144244121063562, 0.09771038340606295, 0.23161573024965296, -0.0022361648312997163, 0.22131073553928432, -0.4003844607298768, -0.23001804616023588, 0.1048728457109372, 0.15025860605226082, 0.17946003781132927, -0.07403759887958987, -0.22836291230298345, 0.028227612788479146, -0.18360243709831256, -0.1765558356895867, -0.14466613206249757, 0.01327745471237682, 0.013240686399627506, -0.318265067464782, 0.09747245957718348, 0.005479840054206539, 0.10387314686654356, -0.10297316434155182, -0.10229775713624682, -0.01159719354106392, 0.09985587182161434, -0.016308379821537985, 0.037388323165483656, 0.1489606117655516, -0.12172313238215435, -0.07616385369649611, 0.3724676925894313, -0.1398884258269677, -0.15976981311948515, 0.19373460564447023, -0.14552116330243706, -0.07063277713279789, 0.1356838757142894, 0.1921115038310559, 0.08752067642301087, -0.08788290740757096, 0.07956238222325873, 0.009115410195920236, 0.18633631454032706, 0.028806986388068383, -0.0041744355992304055, 0.21889386606204697, 0.15355715713661722, 0.052481550495983575, 0.18206548687037608, -0.0708939001517825, -0.07149554612885016, -0.28875422430789377, -0.12279717459269583, -0.1978177752925127, 0.043477273483826656, -0.10615576856632582, -0.1819452775502944, 0.4189555768627585, 0.18628920821150338, 0.2256525305180451, 0.048024113792339417, 0.314326408282509, 0.19986779607308106, 0.02626533464227957, 0.05320265028427729, 0.23798788217167685, 0.12631264990598962, 0.060224153991517294, -0.2604821999648982, -0.05831468643576611, 0.06848336630280856] |
707.211 | Monodromy of the p-rank strata of the moduli space of curves | We compute the Z/\ell and \ell-adic monodromy of every irreducible component
of the moduli space M_g^f of curves of genus and and p-rank f. In particular,
we prove that the Z/\ell-monodromy of every component of M_g^f is the
symplectic group Sp_{2g}(Z/\ell) if g>=3 and \ell is a prime distinct from p.
We give applications to the generic behavior of automorphism groups, Jacobians,
class groups, and zeta functions of curves of given genus and p-rank.
| math.NT math.AG | we compute the zell and elladic monodromy of every irreducible component of the moduli space m_gf of curves of genus and and prank f in particular we prove that the zellmonodromy of every component of m_gf is the symplectic group sp_2gzell if g3 and ell is a prime distinct from p we give applications to the generic behavior of automorphism groups jacobians class groups and zeta functions of curves of given genus and prank | [['we', 'compute', 'the', 'zell', 'and', 'elladic', 'monodromy', 'of', 'every', 'irreducible', 'component', 'of', 'the', 'moduli', 'space', 'm_gf', 'of', 'curves', 'of', 'genus', 'and', 'and', 'prank', 'f', 'in', 'particular', 'we', 'prove', 'that', 'the', 'zellmonodromy', 'of', 'every', 'component', 'of', 'm_gf', 'is', 'the', 'symplectic', 'group', 'sp_2gzell', 'if', 'g3', 'and', 'ell', 'is', 'a', 'prime', 'distinct', 'from', 'p', 'we', 'give', 'applications', 'to', 'the', 'generic', 'behavior', 'of', 'automorphism', 'groups', 'jacobians', 'class', 'groups', 'and', 'zeta', 'functions', 'of', 'curves', 'of', 'given', 'genus', 'and', 'prank']] | [-0.2595328660016613, 0.09188072102011315, -0.18732262841824973, 0.030598953675611742, -0.08834331086171525, -0.12206657671901797, -0.007850284538497882, 0.3246336262540093, -0.3261505238711834, -0.21417141095069903, 0.05941844563390727, -0.268511503296239, -0.17495909407734872, 0.242235114824559, -0.12397523857653141, -0.02584523587554161, 0.02730790362028139, 0.1147388968483678, -0.09274754808616957, -0.34230314482535634, 0.4655670443815844, -0.14148226681697582, 0.14267579407564232, 0.058941817310239585, 0.1108708259915667, 0.031780650403483636, 0.01816056088012244, -0.0801784610845581, -0.14545193739353895, 0.13278716277730251, 0.3230870258595262, 0.06982447032351047, 0.13487055969557593, -0.31337978070452144, -0.15585491896074796, 0.3122993967628905, 0.12615740073711745, -0.05220854626968503, 0.0238808015727305, -0.18187761212299977, 0.1397326625351395, -0.12818989479648216, -0.207188855790134, -0.06839048084137696, 0.16061054174788297, 0.03580503142771444, -0.1926332606934011, -0.012960573458778006, 0.0638047939831657, 0.19620625715968865, -0.04126190379195448, -0.16129605555906892, -0.09012611793753292, 0.12009568471860672, 0.04841305399978799, 0.054613628178568824, 0.07092003576025101, -0.14861419965246958, -0.07605469270742365, 0.3827118221537343, -0.07790076123284442, -0.1223338359700782, 0.09104506028816103, -0.20018410821711377, -0.20800950377514318, 0.13741107125367438, 0.13015338129230908, 0.19544682574591465, 0.07338665777684322, 0.21588473002858727, -0.07990516911127737, 0.10781065254871335, 0.0804447654235576, -0.06413849907195461, 0.11435414553686445, 0.040315192478841966, 0.0500122809450009, 0.14530950703857734, -0.02701128079955067, 0.0903712515852281, -0.3999993003904819, -0.2410722070506641, -0.09093549675973399, 0.13077017170643168, -0.14118554679818252, -0.1769566957506218, 0.5015818427117276, 0.02489900320236172, 0.17684003484568425, 0.16906534634264453, 0.19568167747929693, 0.050119539802627906, 0.03612368774068143, 0.11024543082873736, 0.0767983052879572, 0.2300655612322901, -0.14684374485430973, -0.15227290462769036, -0.042226796803463786, 0.21162380543537437] |
707.2111 | Strong Electron-Hole Exchange in Coherently Coupled Quantum Dots | We have investigated few-body states in vertically stacked quantum dots. Due
to small inter-dot tunneling rate, the coupling in our system is in a
previously unexplored regime where electron-hole exchange is the dominant spin
interaction. By tuning the gate bias, we are able to turn this coupling off and
study a complementary regime where total electron spin is a good quantum
number. The use of differential transmission allows us to obtain unambiguous
signatures of the interplay between electron and hole spin interactions. Small
tunnel coupling also enables us to demonstrate all-optical charge sensing,
where conditional exciton energy shift in one dot identifies the charging state
of the coupled partner.
| cond-mat.mes-hall | we have investigated fewbody states in vertically stacked quantum dots due to small interdot tunneling rate the coupling in our system is in a previously unexplored regime where electronhole exchange is the dominant spin interaction by tuning the gate bias we are able to turn this coupling off and study a complementary regime where total electron spin is a good quantum number the use of differential transmission allows us to obtain unambiguous signatures of the interplay between electron and hole spin interactions small tunnel coupling also enables us to demonstrate alloptical charge sensing where conditional exciton energy shift in one dot identifies the charging state of the coupled partner | [['we', 'have', 'investigated', 'fewbody', 'states', 'in', 'vertically', 'stacked', 'quantum', 'dots', 'due', 'to', 'small', 'interdot', 'tunneling', 'rate', 'the', 'coupling', 'in', 'our', 'system', 'is', 'in', 'a', 'previously', 'unexplored', 'regime', 'where', 'electronhole', 'exchange', 'is', 'the', 'dominant', 'spin', 'interaction', 'by', 'tuning', 'the', 'gate', 'bias', 'we', 'are', 'able', 'to', 'turn', 'this', 'coupling', 'off', 'and', 'study', 'a', 'complementary', 'regime', 'where', 'total', 'electron', 'spin', 'is', 'a', 'good', 'quantum', 'number', 'the', 'use', 'of', 'differential', 'transmission', 'allows', 'us', 'to', 'obtain', 'unambiguous', 'signatures', 'of', 'the', 'interplay', 'between', 'electron', 'and', 'hole', 'spin', 'interactions', 'small', 'tunnel', 'coupling', 'also', 'enables', 'us', 'to', 'demonstrate', 'alloptical', 'charge', 'sensing', 'where', 'conditional', 'exciton', 'energy', 'shift', 'in', 'one', 'dot', 'identifies', 'the', 'charging', 'state', 'of', 'the', 'coupled', 'partner']] | [-0.19064063714697546, 0.19141379387519503, -0.02154322861642534, 0.06890636785575317, -0.0339913648006361, -0.2230575337638617, 0.08916986359437125, 0.36924812451449285, -0.27799115651244416, -0.31782074675920907, -0.04884890988127354, -0.29333671966341746, -0.0847088763268169, 0.19211604414345407, 0.031119567273748577, 0.007711245242608796, 0.006328605883327578, -0.028369478729698774, -0.014882638492971795, -0.16613802827740892, 0.2995926644653082, 0.050488623403815915, 0.298157049274636, 0.13100064835519692, 0.09563210976967981, 0.05995819002919651, 0.09732612815830823, -0.02734941753789509, -0.13567788130817338, 0.07694727955375362, 0.25814988548758466, -0.07846110815677894, 0.2418363120090729, -0.45042985142849457, -0.13357635533625106, 0.052673451067375684, 0.18823932782840838, 0.19703763063116972, -0.07552387188893632, -0.2725569491633513, -0.0023368127609885068, -0.21378405702326003, -0.056674950717683505, -0.09292486082301091, 0.003010750303916428, -0.005761340724030902, -0.3128642939936814, 0.08844791121466872, -0.0017047838004596463, -0.03404828462613012, -0.017314292232552972, -0.013133286584730456, -0.018994382289964536, 0.13995075001116467, 0.011448811635016164, 0.017332582018944786, 0.18743662090989155, -0.10511360315118976, -0.12310861639353797, 0.2846883119793113, -0.07225628356756898, -0.1646264398111663, 0.18186633983934555, -0.184928664433505, -0.04248885764663509, 0.1298943553376225, 0.1420940820698054, 0.103270481545649, -0.14763460563999867, 0.11738489321625253, 0.006773723725126971, 0.20520567500519507, 0.045102549830575496, 0.13023810385119752, 0.25357859629983887, 0.17671540384650777, 0.10016721472733679, 0.13873786869279425, -0.1503004454067746, -0.14669523659854308, -0.22220186821672075, -0.15389636093152498, -0.19171490892767906, 0.12668077043180756, -0.034570837743450045, -0.11552710028433609, 0.4297541993747064, 0.17686222454772219, 0.2025574095538655, -0.05589789575939878, 0.2795434267379754, 0.14970550975450442, 0.06636944271350673, -0.005435633426104937, 0.30168606698248157, 0.212710397824252, 0.05549245069674943, -0.3406088416904655, 0.02937353209703477, -0.02742539963326118] |
707.2112 | Carrier Multiplication in Nanocrystals via Photostimulated Generation of
Biexcitons from Vacuum | We propose a novel mechanism for photogeneration of multiexcitons by single
photons (carrier multiplication) in semiconductor nanocrystals. In this
mechanism, the Coulomb interaction between two valence-band electrons involving
their transfer to the conduction band creates a virtual biexciton from vacuum
that is then converted into a real biexciton by photon absorption on an
intraband optical transition. This mechanism is inactive in bulk semiconductors
as momentum conservation suppresses intraband absorption. However, it becomes
highly efficient in zero-dimensional nanocrystals and can provide a significant
contribution to carrier multiplication in these materials.
| cond-mat.mes-hall cond-mat.mtrl-sci cond-mat.other | we propose a novel mechanism for photogeneration of multiexcitons by single photons carrier multiplication in semiconductor nanocrystals in this mechanism the coulomb interaction between two valenceband electrons involving their transfer to the conduction band creates a virtual biexciton from vacuum that is then converted into a real biexciton by photon absorption on an intraband optical transition this mechanism is inactive in bulk semiconductors as momentum conservation suppresses intraband absorption however it becomes highly efficient in zerodimensional nanocrystals and can provide a significant contribution to carrier multiplication in these materials | [['we', 'propose', 'a', 'novel', 'mechanism', 'for', 'photogeneration', 'of', 'multiexcitons', 'by', 'single', 'photons', 'carrier', 'multiplication', 'in', 'semiconductor', 'nanocrystals', 'in', 'this', 'mechanism', 'the', 'coulomb', 'interaction', 'between', 'two', 'valenceband', 'electrons', 'involving', 'their', 'transfer', 'to', 'the', 'conduction', 'band', 'creates', 'a', 'virtual', 'biexciton', 'from', 'vacuum', 'that', 'is', 'then', 'converted', 'into', 'a', 'real', 'biexciton', 'by', 'photon', 'absorption', 'on', 'an', 'intraband', 'optical', 'transition', 'this', 'mechanism', 'is', 'inactive', 'in', 'bulk', 'semiconductors', 'as', 'momentum', 'conservation', 'suppresses', 'intraband', 'absorption', 'however', 'it', 'becomes', 'highly', 'efficient', 'in', 'zerodimensional', 'nanocrystals', 'and', 'can', 'provide', 'a', 'significant', 'contribution', 'to', 'carrier', 'multiplication', 'in', 'these', 'materials']] | [-0.12257210990110559, 0.24632644931294595, -0.006767554062136104, 0.07001680978102966, -0.00960020734562298, -0.18549544292010284, 0.10244445172347798, 0.47427175432611046, -0.2966623046969095, -0.27283191372211396, -0.10201766117596266, -0.308624820527032, -0.13418518856241043, 0.18511262620809707, 0.013764615552604532, -0.04368537893712395, -0.00013104620065247075, -0.15192974340190243, -0.02047343752765505, -0.10490585766795478, 0.31289391026026414, 0.03324997396825739, 0.31708748552822663, 0.15795901835780968, 0.04644433735461717, 0.02913212991225418, 0.08515068007733809, -0.09922628509131877, -0.02721583312879293, 0.12137182004582346, 0.28472737816824273, -0.06816790749454933, 0.2671171950197287, -0.45402080917291426, -0.2163115721509865, 0.024471110023369783, 0.21094855734178525, 0.14992895568564032, -0.16508308177149406, -0.22362607106399002, 0.022775442802525137, -0.16902133171561728, -0.013328030925202235, -0.07291706819401196, 0.006021586524092414, -0.06723615875221747, -0.26165979864138567, 0.094075966566236, 0.027776978271647115, -0.05597585258388034, -0.11999870520712955, -0.06023744678941001, -0.09034636075179396, 0.04672495593850532, 0.01076702509347475, -0.012885282315795174, 0.20977134296272912, -0.12034800155297591, -0.14593862378551217, 0.40951170814171267, -0.059098404388105645, -0.12726029450220339, 0.14186871997760922, -0.14712746378578498, 0.011200095458856125, 0.2786266936533404, 0.1451644761791306, 0.11828644630980542, -0.15594834764226434, 0.06765018124067947, -0.011894036225681559, 0.184260629577918, 0.02209548307896665, 0.15310972456537772, 0.23823608816444372, 0.1751506578888786, 0.028806258798733855, 0.14043137486082283, -0.10009757134006515, -0.03216316205648224, -0.20346112425826238, -0.21121893362979288, -0.24781117109016756, 0.14531953366515174, -0.04815487576150885, -0.20183354340954107, 0.4094184388794408, 0.10199553184629825, 0.1793178082914667, -0.06077512310755052, 0.3207551903572729, 0.16821321271414857, 0.08813665328243894, 0.012256289570686522, 0.2908292273687345, 0.13784322389035245, 0.1289700273113074, -0.2677239037427549, 0.044009324474511356, 0.03695808480273974] |
707.2113 | Exact Computation of Minimum Sample Size for Estimation of Binomial
Parameters | It is a common contention that it is an ``impossible mission'' to exactly
determine the minimum sample size for the estimation of a binomial parameter
with prescribed margin of error and confidence level. In this paper, we
investigate such a very old but also extremely important problem and
demonstrate that the difficulty for obtaining the exact solution is not
insurmountable. Unlike the classical approximate sample size method based on
the central limit theorem, we develop a new approach for computing the minimum
sample size that does not require any approximation. Moreover, our approach
overcomes the conservatism of existing rigorous sample size methods derived
from Bernoulli's theorem or Chernoff bounds.
Our computational machinery consists of two essential ingredients. First, we
prove that the minimum of coverage probability with respect to a binomial
parameter bounded in an interval is attained at a discrete set of finite many
values of the binomial parameter. This allows for reducing infinite many
evaluations of coverage probability to finite many evaluations. Second, a
recursive bounding technique is developed to further improve the efficiency of
computation.
| math.ST math.PR stat.ME stat.TH | it is a common contention that it is an impossible mission to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level in this paper we investigate such a very old but also extremely important problem and demonstrate that the difficulty for obtaining the exact solution is not insurmountable unlike the classical approximate sample size method based on the central limit theorem we develop a new approach for computing the minimum sample size that does not require any approximation moreover our approach overcomes the conservatism of existing rigorous sample size methods derived from bernoullis theorem or chernoff bounds our computational machinery consists of two essential ingredients first we prove that the minimum of coverage probability with respect to a binomial parameter bounded in an interval is attained at a discrete set of finite many values of the binomial parameter this allows for reducing infinite many evaluations of coverage probability to finite many evaluations second a recursive bounding technique is developed to further improve the efficiency of computation | [['it', 'is', 'a', 'common', 'contention', 'that', 'it', 'is', 'an', 'impossible', 'mission', 'to', 'exactly', 'determine', 'the', 'minimum', 'sample', 'size', 'for', 'the', 'estimation', 'of', 'a', 'binomial', 'parameter', 'with', 'prescribed', 'margin', 'of', 'error', 'and', 'confidence', 'level', 'in', 'this', 'paper', 'we', 'investigate', 'such', 'a', 'very', 'old', 'but', 'also', 'extremely', 'important', 'problem', 'and', 'demonstrate', 'that', 'the', 'difficulty', 'for', 'obtaining', 'the', 'exact', 'solution', 'is', 'not', 'insurmountable', 'unlike', 'the', 'classical', 'approximate', 'sample', 'size', 'method', 'based', 'on', 'the', 'central', 'limit', 'theorem', 'we', 'develop', 'a', 'new', 'approach', 'for', 'computing', 'the', 'minimum', 'sample', 'size', 'that', 'does', 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0.09902145656798914, 0.09315195853658102] |
707.2114 | Orbit equivalence of topological Markov shifts and Cuntz-Krieger
algebras | We will prove that one-sided topological Markov shifts $(X_A,\sigma_A)$ and
$(X_B,\sigma_B)$ for matrices $A$ and $B$ with entries in $\{0,1\}$ are
topologically orbit equivalent if and only if there exists an isomorphism
between the Cuntz-Krieger algebras ${\Cal O}_A$ and ${\Cal O}_B$ keeping their
commutative $C^*$-subalgerbas $C(X_A)$ and $C(X_B)$. It is also equivalent to
the condition that there exists a homeomorphism from $X_A$ to $X_B$
intertwining their topological full groups. We will also study structure of the
automorphisms of ${\Cal O}_A$ keeping the commutative $C^*$-algebra $C(X_A)$.
| math.OA math.DS | we will prove that onesided topological markov shifts x_asigma_a and x_bsigma_b for matrices a and b with entries in 01 are topologically orbit equivalent if and only if there exists an isomorphism between the cuntzkrieger algebras cal o_a and cal o_b keeping their commutative csubalgerbas cx_a and cx_b it is also equivalent to the condition that there exists a homeomorphism from x_a to x_b intertwining their topological full groups we will also study structure of the automorphisms of cal o_a keeping the commutative calgebra cx_a | [['we', 'will', 'prove', 'that', 'onesided', 'topological', 'markov', 'shifts', 'x_asigma_a', 'and', 'x_bsigma_b', 'for', 'matrices', 'a', 'and', 'b', 'with', 'entries', 'in', '01', 'are', 'topologically', 'orbit', 'equivalent', 'if', 'and', 'only', 'if', 'there', 'exists', 'an', 'isomorphism', 'between', 'the', 'cuntzkrieger', 'algebras', 'cal', 'o_a', 'and', 'cal', 'o_b', 'keeping', 'their', 'commutative', 'csubalgerbas', 'cx_a', 'and', 'cx_b', 'it', 'is', 'also', 'equivalent', 'to', 'the', 'condition', 'that', 'there', 'exists', 'a', 'homeomorphism', 'from', 'x_a', 'to', 'x_b', 'intertwining', 'their', 'topological', 'full', 'groups', 'we', 'will', 'also', 'study', 'structure', 'of', 'the', 'automorphisms', 'of', 'cal', 'o_a', 'keeping', 'the', 'commutative', 'calgebra', 'cx_a']] | [-0.18119660130960036, 0.1942276288322187, -0.033049002357096555, 0.06290658153958215, -0.07726620873772955, -0.18392969931599246, 0.026009790823761238, 0.4497477329639067, -0.3682875850473542, -0.14729061872552496, 0.11957725072251521, -0.30810476700405043, -0.11242926766652704, 0.10877677095851984, -0.14183823774422866, -0.020919987741094756, 0.06608451794025051, 0.12081659869192707, -0.16815572157389966, -0.21142519752113484, 0.359519474298121, -0.04513830459586917, 0.15051100248644825, 0.04935557856953826, 0.1060941466410835, -0.023678909644978232, 0.033393957006958234, 0.0034536261291029944, -0.18712690596679837, 0.045987440929579806, 0.29819017857402924, 0.11626846998851433, 0.16500194117438094, -0.309359380638743, -0.012028657842472375, 0.25805347389261046, 0.12364533795212138, -0.038769432713827455, -0.031746703819988904, -0.31213096695312537, 0.17158507675785256, -0.20529537003891296, -0.06301581066000803, -0.0922787946547909, 0.1543149910642799, -0.06942306506357727, -0.27665241000716606, -0.00668536821669192, 0.1342972572275763, 0.08913317843374, -0.02465143757703972, -0.045150246314076055, -0.16435597352234713, 0.12041731550167482, -0.01930385698137962, 0.05101919126506132, 0.09524055665740407, -0.030855364693575596, -0.12072870904770512, 0.3742549475955676, -0.01270749749817762, -0.22072136370712017, 0.14517956077828106, -0.21704545057187957, -0.19600292934800487, 0.11663639425939645, 0.018214991249926725, 0.1021548881453563, -0.021478125500823765, 0.25241901883392603, -0.14147356551993323, 0.13636600253093673, 0.049668390444109596, 0.05520603490477226, 0.123607614335705, 0.03218037035899708, 0.1426594499161983, 0.12504930004297968, 0.08585203210654926, -0.015472414331084275, -0.35269945266331176, -0.154085168457893, -0.06175289024789649, 0.15491858264992395, -0.08640672464441951, -0.18781645300641028, 0.34994819891605394, 0.11809462017705102, 0.17649313827684845, 0.11210547785375671, 0.16713491721493923, 0.07599854471543467, 0.06600890624833416, 0.1065977179692183, 0.1443788038948214, 0.2822873625477933, -0.03858930815056146, -0.1518437888512545, -0.03653503243014755, 0.18140747684267272] |
707.2115 | Exact Computation of Minimum Sample Size for Estimating Proportion of
Finite Population | In this paper, we develop an exact method for the determination of the
minimum sample size for estimating the proportion of a finite population with
prescribed margin of error and confidence level. By characterizing the behavior
of the coverage probability with respect to the proportion, we show that the
computational complexity can be significantly reduced and bounded regardless
population size.
| math.ST math.PR stat.ME stat.TH | in this paper we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level by characterizing the behavior of the coverage probability with respect to the proportion we show that the computational complexity can be significantly reduced and bounded regardless population size | [['in', 'this', 'paper', 'we', 'develop', 'an', 'exact', 'method', 'for', 'the', 'determination', 'of', 'the', 'minimum', 'sample', 'size', 'for', 'estimating', 'the', 'proportion', 'of', 'a', 'finite', 'population', 'with', 'prescribed', 'margin', 'of', 'error', 'and', 'confidence', 'level', 'by', 'characterizing', 'the', 'behavior', 'of', 'the', 'coverage', 'probability', 'with', 'respect', 'to', 'the', 'proportion', 'we', 'show', 'that', 'the', 'computational', 'complexity', 'can', 'be', 'significantly', 'reduced', 'and', 'bounded', 'regardless', 'population', 'size']] | [-0.0707810396173348, 0.10231612344335493, -0.02572209429151068, 0.03557496321348784, -0.005033784941770136, -0.06042156259839734, 0.14567229227977804, 0.322292736308494, -0.2549308007583022, -0.36838264171674384, 0.1008078692383909, -0.2507613320834935, -0.07880131477334847, 0.17005675045462945, -0.13322135854202014, 0.060612591169774535, 0.06827828727352123, 0.059556827244038386, -0.0627097002036559, -0.2775747512156765, 0.3086939909728244, 0.09735486398761471, 0.2786803816134731, 0.028755238372832538, 0.07567502342474958, 0.0006560351621980469, -0.006038550318529208, 0.10359151797990004, -0.1502768654886798, 0.1730056684774657, 0.23086362500519803, 0.16097591469685238, 0.3373966604160766, -0.34139659722507837, -0.1745341365225613, 0.16230323002285635, 0.16463951653180023, 0.12654909019668897, -0.03365820717687408, -0.2354047181472803, 0.14931858819909394, -0.17315493621863426, -0.1710384699438388, -0.013902540264340738, 0.012191073751697938, 0.0392593132914044, -0.28070374311258395, 0.07906769243224214, 0.03591901836916804, 0.07345332776506742, -0.06792839945604404, -0.15455368485612173, -0.0025564585501948994, 0.15365380607933427, 0.04912011167422558, -0.005036108247683539, 0.07251004249167939, -0.15270577310196434, -0.04429568881168962, 0.31547214654274286, -0.06891477747509876, -0.24356858838970463, 0.1524025998854389, -0.19834194873304417, -0.08917786061453323, 0.15745761692523957, 0.23185926862061024, 0.09266747036017478, -0.11658388843449453, 0.08012910123410014, -0.019002260034903885, 0.22845411938615143, 0.04243791011782984, 0.03528933597262949, 0.1359371532841275, 0.20096287718042732, 0.1342024329273651, 0.15344247872126288, -0.14159044108043115, -0.05589753566697861, -0.29724624858548243, -0.15408415161655284, -0.2103466983574132, 0.023659581683265665, -0.1461591362482674, -0.20420657865082223, 0.4186233411853512, 0.16388310657348484, 0.2141793414950371, 0.23810670588475963, 0.23954794853925704, 0.17368300785310567, -0.002260798495262861, 0.10190607525097826, 0.178431221183079, 0.06088170082269547, -0.051513553814341626, -0.29256064345439275, 0.1687110215580712, 0.03570408368711166] |
707.2116 | Exact Computation of Minimum Sample size for Estimation of Poisson
Parameters | In this paper, we develop an approach for the exact determination of the
minimum sample size for the estimation of a Poisson parameter with prescribed
margin of error and confidence level. The exact computation is made possible by
reducing infinite many evaluations of coverage probability to finite many
evaluations. Such reduction is based on our discovery that the minimum of
coverage probability with respect to a Poisson parameter bounded in an interval
is attained at a discrete set of finite many values.
| math.ST math.PR stat.ME stat.TH | in this paper we develop an approach for the exact determination of the minimum sample size for the estimation of a poisson parameter with prescribed margin of error and confidence level the exact computation is made possible by reducing infinite many evaluations of coverage probability to finite many evaluations such reduction is based on our discovery that the minimum of coverage probability with respect to a poisson parameter bounded in an interval is attained at a discrete set of finite many values | [['in', 'this', 'paper', 'we', 'develop', 'an', 'approach', 'for', 'the', 'exact', 'determination', 'of', 'the', 'minimum', 'sample', 'size', 'for', 'the', 'estimation', 'of', 'a', 'poisson', 'parameter', 'with', 'prescribed', 'margin', 'of', 'error', 'and', 'confidence', 'level', 'the', 'exact', 'computation', 'is', 'made', 'possible', 'by', 'reducing', 'infinite', 'many', 'evaluations', 'of', 'coverage', 'probability', 'to', 'finite', 'many', 'evaluations', 'such', 'reduction', 'is', 'based', 'on', 'our', 'discovery', 'that', 'the', 'minimum', 'of', 'coverage', 'probability', 'with', 'respect', 'to', 'a', 'poisson', 'parameter', 'bounded', 'in', 'an', 'interval', 'is', 'attained', 'at', 'a', 'discrete', 'set', 'of', 'finite', 'many', 'values']] | [-0.12503856825983015, 0.0719273468715894, -0.03884093962019173, 0.015056106070249637, -0.050828030650935524, -0.07552581905705355, 0.14031528741853858, 0.3430392652375215, -0.23310749498536673, -0.32572814092826574, 0.12531081064342997, -0.263855390023531, -0.0793648463469453, 0.21261892216734407, -0.10548800474178989, 0.1182829282949636, 0.074747877627066, 0.10105992135841672, -0.09732703842782052, -0.278882946819067, 0.2679162416258872, 0.0874693310910427, 0.2662683553630259, 0.05455707419073073, 0.14286971789012412, 0.019759001840678293, -0.042360054164352574, 0.050982341415563986, -0.1665157194214017, 0.15588830724903724, 0.2640215901078702, 0.1247338113295505, 0.3425888027995825, -0.32661666800564354, -0.19442001153521876, 0.15836468110678764, 0.13678297584467544, 0.09271134951197338, -0.01549555405423545, -0.24212040095987572, 0.14266143146357158, -0.17985526370111762, -0.12666504964709463, -0.02983672476782486, 0.029550471570251917, 0.01906477891635604, -0.32607141799270745, 0.03413881987287867, 0.03170836421592933, 0.08146529868472277, -0.048758966853933, -0.13905982389796254, 0.019591418708243023, 0.1148288593082348, 0.04275813755272638, 0.033717122385008604, 0.06093195955859634, -0.12493726245138975, -0.10087562436465083, 0.3293470507374079, -0.045714246109128, -0.26688480736097187, 0.1526985944649091, -0.13157604834087555, -0.13511868976283728, 0.1767818487998916, 0.168300762386402, 0.1048684204451558, -0.12315670800645177, 0.12088382499017071, -0.032722034707392864, 0.16298249323011899, 0.0698798302470184, 0.01434254334251419, 0.1411229340904733, 0.1958637511493956, 0.16025411309007123, 0.11967497623366553, -0.11774191444756736, -0.12083169148465414, -0.3528814641304496, -0.13646305234046516, -0.23624142863583275, 0.015584067589171776, -0.14922860484529804, -0.24983313018683254, 0.3794475215055594, 0.14653145244753943, 0.24405625999746164, 0.1557061171000142, 0.2759583747105264, 0.18521793000985692, -0.011002408357609699, 0.05609024518237608, 0.14768213686737708, 0.09207525333991592, -0.03963743695966536, -0.19144221697933972, 0.0925808684707324, 0.04373125334766483] |
707.2117 | Cycle lengths in sparse graphs | Let C(G) denote the set of lengths of cycles in a graph G. In the first part
of this paper, we study the minimum possible value of |C(G)| over all graphs G
of average degree d and girth g. Erdos conjectured that |C(G)|
=\Omega(d^{\lfloor (g-1)/2\rfloor}) for all such graphs, and we prove this
conjecture. In particular, the longest cycle in a graph of average degree d and
girth g has length \Omega(d^{\lfloor (g-1)/2\rfloor}). The study of this
problem was initiated by Ore in 1967 and our result improves all previously
known lower bounds on the length of the longest cycle. Moreover, our bound
cannot be improved in general, since known constructions of d-regular Moore
Graphs of girth g have roughly that many vertices. We also show that
\Omega(d^{\lfloor (g-1)/2\rfloor}) is a lower bound for the number of odd cycle
lengths in a graph of chromatic number d and girth g. Further results are
obtained for the number of cycle lengths in H-free graphs of average degree d.
In the second part of the paper, motivated by the conjecture of Erdos and
Gyarfas that every graph of minimum degree at least three contains a cycle of
length a power of two, we prove a general theorem which gives an upper bound on
the average degree of an n-vertex graph with no cycle of even length in a
prescribed infinite sequence of integers. For many sequences, including the
powers of two, our theorem gives the upper bound e^{O(\log^* n)} on the average
degree of graph of order n with no cycle of length in the sequence, where
\log^* n is the number of times the binary logarithm must be applied to n to
get a number which is at most
| math.CO | let cg denote the set of lengths of cycles in a graph g in the first part of this paper we study the minimum possible value of cg over all graphs g of average degree d and girth g erdos conjectured that cg omegadlfloor g12rfloor for all such graphs and we prove this conjecture in particular the longest cycle in a graph of average degree d and girth g has length omegadlfloor g12rfloor the study of this problem was initiated by ore in 1967 and our result improves all previously known lower bounds on the length of the longest cycle moreover our bound cannot be improved in general since known constructions of dregular moore graphs of girth g have roughly that many vertices we also show that omegadlfloor g12rfloor is a lower bound for the number of odd cycle lengths in a graph of chromatic number d and girth g further results are obtained for the number of cycle lengths in hfree graphs of average degree d in the second part of the paper motivated by the conjecture of erdos and gyarfas that every graph of minimum degree at least three contains a cycle of length a power of two we prove a general theorem which gives an upper bound on the average degree of an nvertex graph with no cycle of even length in a prescribed infinite sequence of integers for many sequences including the powers of two our theorem gives the upper bound eolog n on the average degree of graph of order n with no cycle of length in the sequence where log n is the number of times the binary logarithm must be applied to n to get a number which is at most | [['let', 'cg', 'denote', 'the', 'set', 'of', 'lengths', 'of', 'cycles', 'in', 'a', 'graph', 'g', 'in', 'the', 'first', 'part', 'of', 'this', 'paper', 'we', 'study', 'the', 'minimum', 'possible', 'value', 'of', 'cg', 'over', 'all', 'graphs', 'g', 'of', 'average', 'degree', 'd', 'and', 'girth', 'g', 'erdos', 'conjectured', 'that', 'cg', 'omegadlfloor', 'g12rfloor', 'for', 'all', 'such', 'graphs', 'and', 'we', 'prove', 'this', 'conjecture', 'in', 'particular', 'the', 'longest', 'cycle', 'in', 'a', 'graph', 'of', 'average', 'degree', 'd', 'and', 'girth', 'g', 'has', 'length', 'omegadlfloor', 'g12rfloor', 'the', 'study', 'of', 'this', 'problem', 'was', 'initiated', 'by', 'ore', 'in', '1967', 'and', 'our', 'result', 'improves', 'all', 'previously', 'known', 'lower', 'bounds', 'on', 'the', 'length', 'of', 'the', 'longest', 'cycle', 'moreover', 'our', 'bound', 'can', 'not', 'be', 'improved', 'in', 'general', 'since', 'known', 'constructions', 'of', 'dregular', 'moore', 'graphs', 'of', 'girth', 'g', 'have', 'roughly', 'that', 'many', 'vertices', 'we', 'also', 'show', 'that', 'omegadlfloor', 'g12rfloor', 'is', 'a', 'lower', 'bound', 'for', 'the', 'number', 'of', 'odd', 'cycle', 'lengths', 'in', 'a', 'graph', 'of', 'chromatic', 'number', 'd', 'and', 'girth', 'g', 'further', 'results', 'are', 'obtained', 'for', 'the', 'number', 'of', 'cycle', 'lengths', 'in', 'hfree', 'graphs', 'of', 'average', 'degree', 'd', 'in', 'the', 'second', 'part', 'of', 'the', 'paper', 'motivated', 'by', 'the', 'conjecture', 'of', 'erdos', 'and', 'gyarfas', 'that', 'every', 'graph', 'of', 'minimum', 'degree', 'at', 'least', 'three', 'contains', 'a', 'cycle', 'of', 'length', 'a', 'power', 'of', 'two', 'we', 'prove', 'a', 'general', 'theorem', 'which', 'gives', 'an', 'upper', 'bound', 'on', 'the', 'average', 'degree', 'of', 'an', 'nvertex', 'graph', 'with', 'no', 'cycle', 'of', 'even', 'length', 'in', 'a', 'prescribed', 'infinite', 'sequence', 'of', 'integers', 'for', 'many', 'sequences', 'including', 'the', 'powers', 'of', 'two', 'our', 'theorem', 'gives', 'the', 'upper', 'bound', 'eolog', 'n', 'on', 'the', 'average', 'degree', 'of', 'graph', 'of', 'order', 'n', 'with', 'no', 'cycle', 'of', 'length', 'in', 'the', 'sequence', 'where', 'log', 'n', 'is', 'the', 'number', 'of', 'times', 'the', 'binary', 'logarithm', 'must', 'be', 'applied', 'to', 'n', 'to', 'get', 'a', 'number', 'which', 'is', 'at', 'most']] | [-0.22835586564421342, 0.15252674119245865, -0.04669551058840524, -0.0038784713243431826, -0.014075494652691608, -0.10834745332977036, 0.04936666200471033, 0.3277027388378176, -0.23706257504858919, -0.35567254565992495, 0.08072302821488443, -0.27959946144417497, -0.1346699515351146, 0.18864125980695057, -0.09090049339283723, 0.0032379090080212336, 0.09977530406892281, 0.159987103292628, 0.03170071072296802, -0.32943693723730877, 0.2579665019746042, 0.005105617157015432, 0.1465071165690056, 0.09760762087211737, 0.05461852209898805, 0.028422408551301084, 0.008507413207553327, 0.055536919008267835, -0.1774565402395941, 0.1096775147481013, 0.22739407478366047, 0.1507414594396121, 0.247506684833853, -0.3686722159209239, -0.1750775141554186, 0.22183443596602753, 0.11714074400758061, 0.04945216714905756, 0.056953456445626216, -0.15259521007869303, 0.17070285929528634, -0.11191768680823265, -0.13874030650105043, 0.06640129522161765, 0.1450294541007477, 0.00940462586165975, -0.2621028156022981, 0.0188268346786976, 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0.13046515188761987, 0.19415069477407895, -0.05630816276768908, -0.19265266263967837, 0.058063510223291814, 0.18062201973387143] |
707.2118 | A formula for a quartic integral: a survey of old proofs and some new
ones | We discuss several existing proofs of the value of a quartic integral and
present a new proof that evolved from rational Landen transformations.
| math.CA | we discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational landen transformations | [['we', 'discuss', 'several', 'existing', 'proofs', 'of', 'the', 'value', 'of', 'a', 'quartic', 'integral', 'and', 'present', 'a', 'new', 'proof', 'that', 'evolved', 'from', 'rational', 'landen', 'transformations']] | [-0.1588683769628203, 0.006875127149016961, -0.17611015911983408, 0.07303128715442575, -0.16944728435381598, -0.15706916700076798, 0.06828169070143739, 0.28754213419945346, -0.276934874770434, -0.2419553266271301, 0.13977359938840178, -0.24742638105121645, -0.22366966501526211, 0.25516798055690265, -0.06068299678356751, 0.022522419205178387, 0.06276587801782982, 0.016524522119890087, -0.1569199836914144, -0.2714243527987729, 0.38212915995846625, -0.08853098017204067, 0.13324805142600898, 0.04890981834867726, 0.1733395990146243, 0.012442549953804068, -0.0689962450414896, -0.04891396799813146, -0.18747073162059835, 0.20546930619394002, 0.2379183503596679, 0.13075956256817217, 0.2451424574398476, -0.3818534661246383, -0.13717316961644785, 0.11327682285691085, 0.1308118964990844, 0.11614177011601302, -0.11299610968031314, -0.2646969719587461, 0.00301475756113296, -0.15529160805896897, -0.20263935969737562, -0.12487294039000636, 0.005706936687878941, 0.07836884405949841, -0.22398079745471478, -0.007787716230782477, 0.08542032734207484, 0.122478229155683, -0.032905476613213185, -0.1959967567463932, 0.025211036529230034, 0.022628147236031036, 0.05063400344680185, 0.01915058447048068, 0.09359599700521516, -0.12372932994090345, -0.1316188749168878, 0.32571881701764854, -0.07481071263875651, -0.14352581220800462, 0.16114632526169653, -0.06082683481761943, -0.21019818720853198, 0.12056491343790422, 0.10537740717763486, 0.16471780415462411, -0.15895273560739082, 0.1142026683006881, -0.07599074944205907, 0.12555463643461143, 0.07676293190730654, 0.0103822094793229, 0.14920215187189373, 0.05193463745324508, 0.037139207468894514, 0.17899763989059822, 0.03475723253644031, -0.12336448899915685, -0.408176790760911, -0.20676926353379435, -0.12229191127192715, 0.10471603452511456, -0.1125639222110571, -0.15860013558488825, 0.4217504518835441, 0.16095113487023374, 0.16328218158172525, 0.16639887264160358, 0.2536801279562971, 0.09576426859459151, 0.0955404791292613, 0.014792992126034655, 0.21852392865263898, 0.10686803605083538, 0.09362610291851603, -0.1488595686994655, -0.027796479184990345, 0.17351952035223012] |
707.2119 | The 2-adic valuation of a sequence arising from a rational integral | We analyze properties of the 2-adic valuations of an integer sequence that
originates from an explicit evaluation of a quartic integral. We also give a
combinatorial interpretation of the valuations of this sequence. Connections
with the orbits arising from the Collatz (3x+1) problem are discussed.
| math.NT math.CO | we analyze properties of the 2adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral we also give a combinatorial interpretation of the valuations of this sequence connections with the orbits arising from the collatz 3x1 problem are discussed | [['we', 'analyze', 'properties', 'of', 'the', '2adic', 'valuations', 'of', 'an', 'integer', 'sequence', 'that', 'originates', 'from', 'an', 'explicit', 'evaluation', 'of', 'a', 'quartic', 'integral', 'we', 'also', 'give', 'a', 'combinatorial', 'interpretation', 'of', 'the', 'valuations', 'of', 'this', 'sequence', 'connections', 'with', 'the', 'orbits', 'arising', 'from', 'the', 'collatz', '3x1', 'problem', 'are', 'discussed']] | [-0.21557355862524774, 0.01568006850947212, -0.1370008943395482, 0.10299347029326276, -0.0941404060046706, -0.05954165901574823, 0.03483379734162655, 0.322857787542873, -0.3728880747738812, -0.2407088227570057, 0.08497083108975656, -0.2674044135854476, -0.23338553313579824, 0.20668032828511462, -0.12919269733958774, -0.03527378431107435, 0.04107544291764498, 0.06454471003315929, -0.08546837593878283, -0.29372314363718033, 0.394137909842862, -0.010789498107300864, 0.12134745965401332, 0.03166538802890702, 0.11668449509888887, 0.025909875664446087, -0.016873261166943446, -0.02859831051900983, -0.17066873223084258, 0.189512860089437, 0.22931989431381225, 0.14214030222760307, 0.24549367956173632, -0.39441354266471335, -0.0781538207290901, 0.1748537077464991, 0.09470305655979448, 0.07307489833070172, -0.11209325297839112, -0.24292198322299455, 0.07380068791616294, -0.12561631485716337, -0.13825459911669086, -0.049417081164817016, 0.04926674810962545, 0.07235058798558182, -0.26866623506777815, 0.023772754948974278, 0.1253364766947925, 0.12898333507279555, -0.11675584197251333, -0.17668212310721476, 0.03129812731511063, 0.11473806606243468, 0.10668505750234342, 0.00950568061735895, 0.04173375099069542, -0.1288657300743378, -0.2110946042256223, 0.366144339988629, -0.012775183965762457, -0.16662527306212319, 0.13356029058082236, -0.09333261719180477, -0.17549727788815897, 0.17513028264252675, 0.11686612956432832, 0.16169447257286973, -0.10509232381979625, 0.1575319989066985, -0.1777647714647982, 0.13047096174624231, 0.08155808683691754, 0.04880681183810035, 0.20332963441809018, 0.06490261678894362, 0.044574961914784376, 0.2577275929351648, -0.015728776819176143, -0.10557990972366597, -0.34550424334075713, -0.14633380114618275, -0.17783970383720266, 0.13344220879177252, -0.1198397479744421, -0.2043944824486971, 0.39420674530168376, 0.10490596553103791, 0.22854756886760394, 0.15846386373870902, 0.2387039590213034, 0.15036280047562386, -0.02320302108095752, -0.004093571317692598, 0.12604028458396593, 0.12980070461829504, 0.020210694811410374, -0.20952276812038487, 0.01532266405928466, 0.13602625209734673] |
707.212 | Dineutron structure in $^{8}$He | The ground and excited states of $^{8}$He were investigated with a method of
antisymmetrized molecular dynamics(AMD). We adopted effective nuclear
interactions which systematically reproduce the binding energies of $^4$He,
$^6$He and $^8$He. The ground state of $^8$He has both the $j$-$j$ coupling
feature($p_{3/2}$ closure) and the $L$-$S$ coupling feature($^4$He$+2n+2n$)
with a slight tail of dineutron at the long distance region. The theoretical
results give an indication of the $0^+_2$ state with dineutron gas-like
structure. The dineutron structure, $^4$He+$2n$+$2n$, of this state is similar
to the $3\alpha$-cluster structure of the $^{12}$C($0^+_2$) state which has
been interpreted as an $\alpha$ condensate state. Since the $^8$He($0^+_2$)
state has a significant overlap with the dineutron condensate wave function
where two dineutrons are moving in $S$ wave around the $\alpha$ core with a
dilute density, we suggest that this theoretically predicted $0^+_2$ state is a
candidate of the dineutron condensate state.
| nucl-th | the ground and excited states of 8he were investigated with a method of antisymmetrized molecular dynamicsamd we adopted effective nuclear interactions which systematically reproduce the binding energies of 4he 6he and 8he the ground state of 8he has both the jj coupling featurep_32 closure and the ls coupling feature4he2n2n with a slight tail of dineutron at the long distance region the theoretical results give an indication of the 0_2 state with dineutron gaslike structure the dineutron structure 4he2n2n of this state is similar to the 3alphacluster structure of the 12c0_2 state which has been interpreted as an alpha condensate state since the 8he0_2 state has a significant overlap with the dineutron condensate wave function where two dineutrons are moving in s wave around the alpha core with a dilute density we suggest that this theoretically predicted 0_2 state is a candidate of the dineutron condensate state | [['the', 'ground', 'and', 'excited', 'states', 'of', '8he', 'were', 'investigated', 'with', 'a', 'method', 'of', 'antisymmetrized', 'molecular', 'dynamicsamd', 'we', 'adopted', 'effective', 'nuclear', 'interactions', 'which', 'systematically', 'reproduce', 'the', 'binding', 'energies', 'of', '4he', '6he', 'and', '8he', 'the', 'ground', 'state', 'of', '8he', 'has', 'both', 'the', 'jj', 'coupling', 'featurep_32', 'closure', 'and', 'the', 'ls', 'coupling', 'feature4he2n2n', 'with', 'a', 'slight', 'tail', 'of', 'dineutron', 'at', 'the', 'long', 'distance', 'region', 'the', 'theoretical', 'results', 'give', 'an', 'indication', 'of', 'the', '0_2', 'state', 'with', 'dineutron', 'gaslike', 'structure', 'the', 'dineutron', 'structure', '4he2n2n', 'of', 'this', 'state', 'is', 'similar', 'to', 'the', '3alphacluster', 'structure', 'of', 'the', '12c0_2', 'state', 'which', 'has', 'been', 'interpreted', 'as', 'an', 'alpha', 'condensate', 'state', 'since', 'the', '8he0_2', 'state', 'has', 'a', 'significant', 'overlap', 'with', 'the', 'dineutron', 'condensate', 'wave', 'function', 'where', 'two', 'dineutrons', 'are', 'moving', 'in', 's', 'wave', 'around', 'the', 'alpha', 'core', 'with', 'a', 'dilute', 'density', 'we', 'suggest', 'that', 'this', 'theoretically', 'predicted', '0_2', 'state', 'is', 'a', 'candidate', 'of', 'the', 'dineutron', 'condensate', 'state']] | [-0.10940185140238723, 0.19852676242447484, -0.12825123234562433, 0.10520586896349084, 0.03409894678409543, -0.08365758842222028, 0.03216464418679365, 0.3671358505693766, -0.1919733839519843, -0.25159031643379165, -0.04329598382020929, -0.2777292330104571, -0.029389408328157274, 0.039073009060213826, 0.15163646246387194, 0.046886652077945484, 0.05040480364504811, 0.0964685399476048, -0.07573692107709919, -0.14479087964774898, 0.3485155248871216, 0.0669204419530876, 0.25256861832279426, 0.10909505658034054, 0.0432082702425289, -0.038982929137594005, 0.1417216180149674, -0.053668303890609656, -0.14981073701708011, 0.07421167345735459, 0.2316084747313411, 0.039277694577194905, 0.19653884001512575, -0.39266690967435186, -0.17723439361287893, 0.07769447522094616, 0.16363634868896196, 0.16450510046874675, -0.04438260412560059, -0.3930869213324952, 0.002296284900675365, -0.27799492776784657, -0.17908751988014976, -0.07600349022182994, 0.06968202539947588, 0.03169028997466854, -0.22982894262531772, 0.12347506909688993, 0.014019392788983308, -0.008137134294566159, -0.13847331970708665, -0.2200832765327988, -0.06443444697407784, 0.058084137942902486, 0.03205346084571072, 0.11092355502020386, 0.11506329709989624, -0.14805940308582063, -0.054318440296537394, 0.34389423803667296, -0.06288962794135657, -0.10174178873950784, 0.16572307273289644, -0.14336902807609966, -0.10086197538262272, 0.18679677618836815, 0.07920619839854487, 0.08689119284598065, -0.092802654664843, 0.06298366217862593, -0.07302718247849514, 0.25112484986861267, 0.0520375138441739, 0.06950667386034412, 0.1740982223504021, 0.2201178952387267, 0.0055350645712309784, 0.14445697883033304, -0.17644279079928576, -0.1496667373222071, -0.2531363822819365, -0.12105806952935051, -0.19574888924240963, 0.03074194613125312, 0.000639241955792971, -0.15520895762699558, 0.3864939654363202, 0.002983642142865208, 0.20026633758879417, -0.03834578529703659, 0.23032810677403023, 0.09718666297881831, 0.015988619411950344, 0.06348589426590377, 0.3270680135428593, 0.2031841684373786, 0.0344822106596369, -0.3174055977301164, 0.11032133616777333, 0.015642017541270887] |
707.2121 | The integrals in Gradshteyn and Ryzhik. Part 6: the beta function | We present the evaluation of definite integrals in the classical table by I.
S. Gradshteyn and I. M. Ryzhik that can be reduced to the beta function.
| math.CA | we present the evaluation of definite integrals in the classical table by i s gradshteyn and i m ryzhik that can be reduced to the beta function | [['we', 'present', 'the', 'evaluation', 'of', 'definite', 'integrals', 'in', 'the', 'classical', 'table', 'by', 'i', 's', 'gradshteyn', 'and', 'i', 'm', 'ryzhik', 'that', 'can', 'be', 'reduced', 'to', 'the', 'beta', 'function']] | [-0.1372816833081069, 0.12316022355419894, -0.045826528773263646, 0.0338137972134131, -0.04643521081932165, -0.13903559309740862, 0.0814334573827822, 0.3604131612788748, -0.2792824070762705, -0.26373319107073323, 0.08430488771517519, -0.2955786442315137, -0.17037724067146578, 0.15896160987688712, -0.0652010324238627, 0.019553533789736254, 0.08910631857536457, -0.010614528217249446, -0.15174962317191618, -0.2928909424830366, 0.321194416463927, -0.0026232913757363954, 0.06820048726405259, 0.013893376828895675, 0.03186677030667111, 0.03025266353937763, -0.0793301633524674, 0.000575705603868873, -0.16500782498500216, 0.12121712699256561, 0.23457593043093328, 0.19535676384758618, 0.19982863852271326, -0.36754502976934117, -0.08330709490649126, 0.09217463199187208, 0.12556787992448168, -0.01836905876795451, 0.02910345044532463, -0.2700826870622458, 0.12364598338630188, -0.20399075927626756, -0.1354547045538547, -0.0904789647018468, 0.1627687724583127, 0.0875565798746215, -0.27093203158842194, 0.04462233868738016, 0.07493404802624826, 0.021389927715063095, -0.01920181926753786, -0.24260448012501, 0.04091439964422197, 0.08047595589111249, 0.010567599252142288, 0.07886385890068831, 0.0551601834077802, -0.06866028353019997, -0.0932141042969845, 0.32653066902248945, -0.155554455329871, -0.2419005767614753, 0.05823646296091654, -0.18112313528372734, -0.09545285806611732, 0.11230064969923761, 0.06828738031563936, 0.14429067020063047, -0.10693857567039905, 0.13380347728444678, -0.06744079447040956, 0.1227474438233508, 0.05156115618430906, -0.08951920310587243, 0.14005041995120268, 0.02338112876922996, -0.0039005946298992194, 0.08241448989051774, -0.07487320375663263, -0.04741664102335495, -0.41192338684642754, -0.25539343776526274, -0.19362854115940906, 0.10292290916873349, -0.06637579559605068, -0.15150659310596962, 0.37599739211576955, 0.11651889209557946, 0.16600489188675527, 0.01269248096893231, 0.1937734779936296, 0.1948618726045997, 0.07460517851911762, 0.07289061767773496, 0.12128838248274944, 0.06244524069889276, 0.08172507432323915, -0.2181422722146467, 0.026727286667597515, 0.1417264023243829] |
707.2122 | The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples | The classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik
contains some elementary integrals. We discuss their evaluations.
| math.CA | the classical table of integrals by i s gradshteyn and i m ryzhik contains some elementary integrals we discuss their evaluations | [['the', 'classical', 'table', 'of', 'integrals', 'by', 'i', 's', 'gradshteyn', 'and', 'i', 'm', 'ryzhik', 'contains', 'some', 'elementary', 'integrals', 'we', 'discuss', 'their', 'evaluations']] | [-0.2588969696135748, 0.11818269925979188, -0.013335913331026123, 0.09995915740728378, -0.08700878213026694, -0.14146495716912405, 0.11903185583651066, 0.3487520370455015, -0.2376630859715598, -0.23561749926635198, 0.10468909770272494, -0.39402732869521495, -0.17015843847600212, 0.1656239620476429, -0.11644606571644545, -0.022425888904503415, 0.12880562192627362, 0.03593489004387742, -0.11875459587290174, -0.3561299909793195, 0.2962581126858346, -0.11928852337102096, -0.023407809613716034, -0.008482698705934343, 0.07782354986383802, 0.08373265751149683, -0.21785931213803233, -0.09189096819179776, -0.2261710972303436, 0.15416108071804047, 0.21050011756874265, 0.20232557356801062, 0.2007788714642326, -0.4007396786695435, -0.024634659778149354, 0.026306738189998128, 0.0967027272452556, -0.010004630578415734, 0.040105177181734085, -0.25706961875160533, 0.0387416212331681, -0.19710608565115503, -0.17874252381512806, -0.1405037355919679, 0.20130227417463348, 0.16054521181753703, -0.1565333329850719, 0.0064497411783252445, 0.11234428165923982, 0.11070660705722514, -0.0057811203102270765, -0.30938399654059184, 0.05524158906856818, 0.029673751554496232, 0.029630484902078195, -0.011187862399743781, 0.07924697585847407, -0.08489431701240219, -0.1327747693728833, 0.3562313275677817, -0.07126942861248695, -0.2057580216566012, 0.07990495168737002, -0.1332752681337297, -0.11355081475561574, 0.10268967731722764, -0.016388508890356337, 0.16423388712462925, -0.11148114985830727, 0.20474943580449603, -0.07604209453399692, 0.016298447602561543, 0.11352066779952674, -0.005211801223811649, 0.10078207359072708, -0.025385864433788118, -0.07851235450999368, 0.08326688422156232, -0.05585718678221816, -0.0881829805938261, -0.4880023029233728, -0.2536324021362123, -0.17682663138423646, 0.11259487501922108, -0.07875052522355136, -0.1548368393310479, 0.39171063899993896, 0.11244502256435919, 0.15536617452190035, 0.012152420844705332, 0.1863613384554074, 0.1280026739197118, 0.03932819055348989, 0.10879442379588172, 0.018183132773542422, 0.11668031535200066, 0.08074076225360234, -0.14655575448913233, -0.03612008551135659, 0.22604018334476722] |
707.2123 | The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers,
exponentials and logarithms | We present the evaluation of some definite integrals in the classical table
by I. S. Gradshteyn and I. M. Ryzhik where the integrand is a combination of
powers, exponentials and logarithms.
| math.CA | we present the evaluation of some definite integrals in the classical table by i s gradshteyn and i m ryzhik where the integrand is a combination of powers exponentials and logarithms | [['we', 'present', 'the', 'evaluation', 'of', 'some', 'definite', 'integrals', 'in', 'the', 'classical', 'table', 'by', 'i', 's', 'gradshteyn', 'and', 'i', 'm', 'ryzhik', 'where', 'the', 'integrand', 'is', 'a', 'combination', 'of', 'powers', 'exponentials', 'and', 'logarithms']] | [-0.19767767781459336, 0.07865271715056751, -0.05048635031186765, 0.0394340728507227, -0.05627380523289884, -0.0944583386993937, 0.0741343523691138, 0.3297813865205934, -0.24816185284045436, -0.2010955286001967, 0.1305028351414348, -0.32063566340554145, -0.1669328712647961, 0.13044686402915226, -0.052243502510170785, 0.03917255012258407, 0.07902096199893183, -0.009126683516848472, -0.10293901985090587, -0.271854245254109, 0.3650908718907064, -0.042934980528849746, 0.06186417132736214, 0.008320486112948387, 0.09604774304335156, 0.0296423910335908, -0.13279807744848152, -0.049554393236194885, -0.09929412810672675, 0.14045164124259063, 0.2382598943527668, 0.13937168648736853, 0.24666469904684252, -0.3789447083122908, -0.04815143896567245, 0.07458389442293875, 0.11722790442347046, -0.05149144571154348, 0.027156193833140985, -0.2229130185179172, 0.05039319311148457, -0.20908612104493282, -0.11535200754541063, -0.12951719820980104, 0.14726688493523868, 0.07719078485763842, -0.2937719037215556, 0.029839679478637634, 0.09339521855356232, 0.06965975847936445, 0.001642515221911092, -0.23913179458149017, 0.0819716754204203, 0.016274403029632185, 0.03388607801659213, 0.03534685868409372, 0.039104138425881826, -0.11912408441064819, -0.1364966975224595, 0.3516566302747496, -0.10248383729823775, -0.2035037080847448, 0.04691741343647722, -0.21494404182979657, -0.11220706770977666, 0.1168150707718826, 0.04750282245297586, 0.1768722196199721, -0.09039968717843294, 0.19296197050566516, -0.058452624797580705, 0.09088275407350832, 0.12352849314770391, -0.02714316751207075, 0.11844046957670681, 0.0066243726760149, -0.029354160080753987, 0.08449900832267539, -0.059191732697429195, -0.07130292574724843, -0.481024824563534, -0.22182889090430352, -0.17505421525528353, 0.09940967549599948, -0.12337662423716768, -0.1676944389698967, 0.3798669985225124, 0.05575885131557082, 0.21129281674661943, 0.06388271885413316, 0.25282344222068787, 0.17489790357649326, 0.07267265260640171, 0.10217579804180611, 0.08378857150842857, 0.10614815706597461, 0.08207860416282088, -0.18703131487352714, 0.0001602667654233594, 0.18822704408798488] |
707.2124 | The integrals in Gradshteyn and Ryzhik. Part9: Combinations of
logarithms, rational and trigonometric functions | The classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik
contains many definite integrals where the integrand is the product of a
rational function times the logarithm of another rational function. We begin
the systematic evaluation of these integrals.
| math.CA | the classical table of integrals by i s gradshteyn and i m ryzhik contains many definite integrals where the integrand is the product of a rational function times the logarithm of another rational function we begin the systematic evaluation of these integrals | [['the', 'classical', 'table', 'of', 'integrals', 'by', 'i', 's', 'gradshteyn', 'and', 'i', 'm', 'ryzhik', 'contains', 'many', 'definite', 'integrals', 'where', 'the', 'integrand', 'is', 'the', 'product', 'of', 'a', 'rational', 'function', 'times', 'the', 'logarithm', 'of', 'another', 'rational', 'function', 'we', 'begin', 'the', 'systematic', 'evaluation', 'of', 'these', 'integrals']] | [-0.22445940660933653, 0.07722354424047462, -0.08391845594382003, 0.06567301842040338, -0.05421669742402931, -0.0755082065450205, 0.08286266995682603, 0.28916245370748495, -0.29579777643084526, -0.21045362434926487, 0.08448244522913315, -0.3425142636433953, -0.1852208568404118, 0.16297866327000693, -0.07093180128417555, 0.05073213009607224, 0.07037320888290803, 0.039692314652105175, -0.1477156737375827, -0.3252998795360327, 0.3516206235314409, -0.06917765714405548, 0.08789715703044619, 0.02435284841894394, 0.12979394884868747, 0.07015036344749942, -0.13244790086034863, -0.08705596443975255, -0.13980482977681927, 0.12719936877311694, 0.2326404095982157, 0.13670938893864376, 0.26320522890559267, -0.3815264886777316, -0.0532071988009626, 0.12323150819256193, 0.12068427844150435, -0.044664871568481125, 0.06798609264279505, -0.22494437015571056, 0.0004598352603525633, -0.1978622470605409, -0.1721993198817862, -0.0694242338871672, 0.15222232569275157, 0.07987481377841461, -0.2574824424726622, 0.03829658295338353, 0.04953615349673089, 0.0831830817319098, -0.01106218621134758, -0.22247069439895095, 0.025689922655666515, 0.09175105456129781, 0.047421714019340776, 0.10392358086703878, 0.07694097276821378, -0.10787149546931254, -0.10271986046185096, 0.32629207166887464, -0.06086339667117933, -0.2397011024877429, 0.05055170922007944, -0.18770132716079907, -0.12064992680790879, 0.16159311837206283, 0.03748962309743677, 0.1988994611560234, -0.10738873703493959, 0.17334826556561028, -0.06066991519626407, 0.07489229875084545, 0.08347797699804817, -0.06016901503538802, 0.1434609925906573, 0.01774462392287595, 0.013376615164036463, 0.1090679865862642, -0.017925949501139776, -0.12233177290874578, -0.448807699827566, -0.23986928546357722, -0.1788152949441047, 0.133751485918072, -0.14384011140369002, -0.23824565804430417, 0.4074647126808053, 0.03397637375469674, 0.1667325874524457, 0.06373464171996429, 0.24066141622495793, 0.21287839429541713, 0.09646086014496784, 0.02524644164146767, 0.07587653142400086, 0.09171164112852975, 0.026005143122304054, -0.15344807759503878, 0.024080395798331926, 0.1781345468369268] |
707.2125 | The bisymplectomorphism group of a bounded symmetric domain | An Hermitian bounded symmetric domain in a complex vector space, given in its
circled realization, is endowed with two natural symplectic forms: the flat
form and the hyperbolic form. In a similar way, the ambient vector space is
also endowed with two natural symplectic forms: the Fubini-Study form and the
flat form. It has been shown in arXiv:math.DG/0603141 that there exists a
diffeomorphism from the domain to the ambient vector space which puts in
correspondence the above pair of forms. This phenomenon is called symplectic
duality for Hermitian non compact symmetric spaces.
In this article, we first give a different and simpler proof of this fact.
Then, in order to measure the non uniqueness of this symplectic duality map, we
determine the group of bisymplectomorphisms of a bounded symmetric domain, that
is, the group of diffeomorphisms which preserve simultaneously the hyperbolic
and the flat symplectic form. This group is the direct product of the compact
Lie group of linear automorphisms with an infinite-dimensional Abelian group.
This result appears as a kind of Schwarz lemma.
| math.DG math.CV | an hermitian bounded symmetric domain in a complex vector space given in its circled realization is endowed with two natural symplectic forms the flat form and the hyperbolic form in a similar way the ambient vector space is also endowed with two natural symplectic forms the fubinistudy form and the flat form it has been shown in arxivmathdg0603141 that there exists a diffeomorphism from the domain to the ambient vector space which puts in correspondence the above pair of forms this phenomenon is called symplectic duality for hermitian non compact symmetric spaces in this article we first give a different and simpler proof of this fact then in order to measure the non uniqueness of this symplectic duality map we determine the group of bisymplectomorphisms of a bounded symmetric domain that is the group of diffeomorphisms which preserve simultaneously the hyperbolic and the flat symplectic form this group is the direct product of the compact lie group of linear automorphisms with an infinitedimensional abelian group this result appears as a kind of schwarz lemma | [['an', 'hermitian', 'bounded', 'symmetric', 'domain', 'in', 'a', 'complex', 'vector', 'space', 'given', 'in', 'its', 'circled', 'realization', 'is', 'endowed', 'with', 'two', 'natural', 'symplectic', 'forms', 'the', 'flat', 'form', 'and', 'the', 'hyperbolic', 'form', 'in', 'a', 'similar', 'way', 'the', 'ambient', 'vector', 'space', 'is', 'also', 'endowed', 'with', 'two', 'natural', 'symplectic', 'forms', 'the', 'fubinistudy', 'form', 'and', 'the', 'flat', 'form', 'it', 'has', 'been', 'shown', 'in', 'arxivmathdg0603141', 'that', 'there', 'exists', 'a', 'diffeomorphism', 'from', 'the', 'domain', 'to', 'the', 'ambient', 'vector', 'space', 'which', 'puts', 'in', 'correspondence', 'the', 'above', 'pair', 'of', 'forms', 'this', 'phenomenon', 'is', 'called', 'symplectic', 'duality', 'for', 'hermitian', 'non', 'compact', 'symmetric', 'spaces', 'in', 'this', 'article', 'we', 'first', 'give', 'a', 'different', 'and', 'simpler', 'proof', 'of', 'this', 'fact', 'then', 'in', 'order', 'to', 'measure', 'the', 'non', 'uniqueness', 'of', 'this', 'symplectic', 'duality', 'map', 'we', 'determine', 'the', 'group', 'of', 'bisymplectomorphisms', 'of', 'a', 'bounded', 'symmetric', 'domain', 'that', 'is', 'the', 'group', 'of', 'diffeomorphisms', 'which', 'preserve', 'simultaneously', 'the', 'hyperbolic', 'and', 'the', 'flat', 'symplectic', 'form', 'this', 'group', 'is', 'the', 'direct', 'product', 'of', 'the', 'compact', 'lie', 'group', 'of', 'linear', 'automorphisms', 'with', 'an', 'infinitedimensional', 'abelian', 'group', 'this', 'result', 'appears', 'as', 'a', 'kind', 'of', 'schwarz', 'lemma']] | [-0.189226462115225, 0.09788572654919293, -0.10116029733001407, 0.05537482316613869, -0.15528037722985974, -0.09112069080313018, -0.024652919872815527, 0.3632814752067937, -0.3069239037414623, -0.1856638388606709, 0.10457872222570247, -0.21237848247374344, -0.18927654242048278, 0.1576250754242633, -0.10407574606387941, -0.029102524501869866, 0.0004221934454277331, 0.1185998284409559, -0.15879322731526307, -0.21446198135137903, 0.455424094366906, -0.037725222386185586, 0.2534824857707569, 0.018432395925290536, 0.15528947690252734, -0.01876958015071618, -0.005880329728148184, -0.022637948524958162, -0.09842941769560173, 0.13304666173644364, 0.2697307891699724, 0.06159873773360105, 0.20596551040436553, -0.37178612946597644, -0.1760563032273853, 0.18902558815492274, 0.10027474171595735, 0.024773224970315, -0.08337305434965962, -0.3202392725594786, 0.09262511527996922, -0.15602375624354842, -0.18535431761966023, -0.06438472875920842, 0.035640922819025984, -0.04802396938307644, -0.21285824540482703, 0.003852336541417889, 0.14511309955797028, 0.06443258125584053, -0.0896241104367005, -0.03138179835852582, -0.04510390211091658, 0.087050708687626, 0.006962174721614479, 0.10778230951075594, 0.06362971624218706, -0.04039922494273416, -0.07641381656664402, 0.40608924964637777, -0.09359748607709852, -0.3086484010404261, 0.1671903149040719, -0.17021718935575336, -0.169879840314659, 0.11848126201847092, 0.13348618734270595, 0.12960170894498438, -0.07835595806529962, 0.19092829936308525, -0.14438050318790904, 0.07663043943669669, 0.08947182863106042, 0.01099598711237398, 0.13064652170206226, 0.11041387162837309, 0.1403055174173354, 0.14441475659733377, 0.033167946000778395, -0.11585423094592717, -0.34905326463888553, -0.22730226817318824, -0.14483837493381269, 0.11868128141518249, -0.10929029409081248, -0.19862144309428365, 0.37504485598359216, -0.012456927674573435, 0.2020305800197516, 0.07623702683621411, 0.23660669071521329, 0.09499645963592758, 0.06960207930032358, 0.07723313520478388, 0.16804629263229842, 0.21089947170599602, -0.0054583441206189085, -0.13076107538180687, -0.048425173674585556, 0.12373876547340039] |
707.2126 | On complexity of special maximum matchings constructing | For bipartite graphs the NP-completeness is proved for the problem of
existence of maximum matching which removal leads to a graph with given
lower(upper)bound for the cardinality of its maximum matching.
| cs.DM | for bipartite graphs the npcompleteness is proved for the problem of existence of maximum matching which removal leads to a graph with given lowerupperbound for the cardinality of its maximum matching | [['for', 'bipartite', 'graphs', 'the', 'npcompleteness', 'is', 'proved', 'for', 'the', 'problem', 'of', 'existence', 'of', 'maximum', 'matching', 'which', 'removal', 'leads', 'to', 'a', 'graph', 'with', 'given', 'lowerupperbound', 'for', 'the', 'cardinality', 'of', 'its', 'maximum', 'matching']] | [-0.1455443119009336, 0.04469448301630716, -0.04066369086503983, 0.02198941066938763, -0.12649970278143882, -0.10307727606656651, 0.083632966709168, 0.3053844128269702, -0.2753531185289224, -0.37249116549889244, 0.14739925468650958, -0.3040511610607306, -0.07929621568570534, 0.12472369000315667, -0.10826854587843021, 0.10825240164801168, 0.14630397396783035, 0.139749875664711, 0.002028894859055678, -0.26536617271776775, 0.32083964919050534, 0.0034591502199570337, 0.2301317288307473, 0.17156245354563, 0.0984959479731818, 0.10033562082486848, 0.03342069663728277, 0.08287508531163136, -0.15665797270679224, 0.15722886345271642, 0.2664512121739487, 0.25618621135751407, 0.22892144362752637, -0.3195175377652049, -0.18264916709934673, 0.22337677159036198, 0.044600363347368936, 0.10446374175371602, -0.013093574034670988, -0.18776765062163273, 0.19435006339723865, -0.05706713820497195, -0.06523483314861854, 0.049714225654800735, 0.107882301385204, -0.021212017784516018, -0.38036984006563823, 0.029453823467095692, 0.1217731585726142, 0.004869334834317366, 0.018715517001692206, -0.13535577959070602, -0.020956937146062653, 0.11743032662197947, -0.04772455140482634, 0.03608452290645801, -0.0558862638194114, -0.19172570947557688, -0.2023472711754342, 0.41100858996311823, -0.0003698095989724, -0.123675988552471, 0.12142353822709992, -0.043614079834272464, -0.16012224446361265, 0.1217506293207407, 0.12050951293980082, 0.15681119609313707, -0.09419014205535253, 0.058047168081005414, -0.13910517872621617, 0.10407504917432865, 0.18607413889840246, 0.017221415912111602, 0.13730199957887332, 0.19150495327388248, 0.2952197197669496, 0.2815951447933912, -0.003451536719997724, -0.009124427785476048, -0.25393345976869264, -0.06798068915183346, -0.2579708599795898, 0.0019149542165299257, -0.23294568109946948, -0.2815283312772711, 0.4606942479809125, 0.11426117510224382, 0.1627998429660996, 0.17301049316689993, 0.21083841683963936, 0.14741750359535216, -0.007472841208800674, 0.1657937022081266, 0.197504997625947, 0.231750426068902, -0.057233496010303496, -0.22914375987214347, 0.13392797758957992, 0.15899775065481664] |
707.2127 | Influence of oxygen vacancy on the electronic structure of HfO$_2$ film | We investigated the unoccupied part of the electronic structure of the
oxygen-deficient hafnium oxide (HfO$_{\sim1.8}$) using soft x-ray absorption
spectroscopy at O $K$ and Hf $N_3$ edges. Band-tail states beneath the
unoccupied Hf 5$d$ band are observed in the O $K$-edge spectra; combined with
ultraviolet photoemission spectrum, this indicates the non-negligible
occupation of Hf 5$d$ state. However, Hf $N_3$-edge magnetic circular dichroism
spectrum reveals the absence of a long-range ferromagnetic spin order in the
oxide. Thus the small amount of $d$ electron gained by the vacancy formation
does not show inter-site correlation, contrary to a recent report [M.
Venkatesan {\it et al.}, Nature {\bf 430}, 630 (2004)].
| cond-mat.mtrl-sci | we investigated the unoccupied part of the electronic structure of the oxygendeficient hafnium oxide hfo_sim18 using soft xray absorption spectroscopy at o k and hf n_3 edges bandtail states beneath the unoccupied hf 5d band are observed in the o kedge spectra combined with ultraviolet photoemission spectrum this indicates the nonnegligible occupation of hf 5d state however hf n_3edge magnetic circular dichroism spectrum reveals the absence of a longrange ferromagnetic spin order in the oxide thus the small amount of d electron gained by the vacancy formation does not show intersite correlation contrary to a recent report m venkatesan it et al nature bf 430 630 2004 | [['we', 'investigated', 'the', 'unoccupied', 'part', 'of', 'the', 'electronic', 'structure', 'of', 'the', 'oxygendeficient', 'hafnium', 'oxide', 'hfo_sim18', 'using', 'soft', 'xray', 'absorption', 'spectroscopy', 'at', 'o', 'k', 'and', 'hf', 'n_3', 'edges', 'bandtail', 'states', 'beneath', 'the', 'unoccupied', 'hf', '5d', 'band', 'are', 'observed', 'in', 'the', 'o', 'kedge', 'spectra', 'combined', 'with', 'ultraviolet', 'photoemission', 'spectrum', 'this', 'indicates', 'the', 'nonnegligible', 'occupation', 'of', 'hf', '5d', 'state', 'however', 'hf', 'n_3edge', 'magnetic', 'circular', 'dichroism', 'spectrum', 'reveals', 'the', 'absence', 'of', 'a', 'longrange', 'ferromagnetic', 'spin', 'order', 'in', 'the', 'oxide', 'thus', 'the', 'small', 'amount', 'of', 'd', 'electron', 'gained', 'by', 'the', 'vacancy', 'formation', 'does', 'not', 'show', 'intersite', 'correlation', 'contrary', 'to', 'a', 'recent', 'report', 'm', 'venkatesan', 'it', 'et', 'al', 'nature', 'bf', '430', '630', '2004']] | [-0.12952022184617817, 0.1547124012856959, 0.0402153019945567, 0.028915962212172765, -0.012802243410428323, -0.09945387083840054, 0.1070196432992816, 0.4329041871242225, -0.2278669126994478, -0.3394387038424611, -0.075780478156118, -0.39067956269718707, -0.08270481675276642, 0.05034881000756286, 0.07924143934192565, -0.019842720008455217, -0.0069714627394345235, -0.09671519381943373, -0.08258013748742926, -0.18085901224940942, 0.24599696543569174, 0.088887948784619, 0.26886121669443896, 0.0956527441538548, -0.04150713356928183, 0.05373287429728617, 0.08398782406360485, -0.031780833118738465, -0.11140216929981342, 0.09588627218321423, 0.26836244194866876, -0.06114231611494548, 0.19735627755513774, -0.45277849004532283, -0.22166979347821325, -0.029330376078947805, 0.11683785295127354, 0.10230609345643853, -0.06777912375624649, -0.2647584249946074, 0.02013820536936132, -0.1370486968998403, -0.1129463967294074, -0.0513886748544442, 0.04567865177523345, -0.05688909851932504, -0.24062127676678266, 0.11501690512075304, 0.039776387107289896, 0.09389257457895347, -0.11839150681715602, -0.1662534504251268, -0.1905797053477727, -0.012426334836233694, 0.008047696819770724, 0.04217010955135965, 0.13983956450773313, -0.03401048511239843, -0.09454520375304408, 0.34270265546197504, -0.0892526682929691, 0.03538397091548317, 0.1856772534397001, -0.26253793719493285, -0.1317358178561195, 0.2425237540872051, 0.039181101941861786, 0.15412253332145226, -0.0836476199603147, 0.18641635335594542, -0.039805797331679896, 0.2570831634713194, 0.0788988794800109, 0.12082199956505345, 0.23524551867292479, 0.09507931263942737, -0.012661701798116645, 0.06255669397516893, -0.20693996399901293, 0.042510555190137196, -0.17131818876637575, -0.14804450300737068, -0.24113841322161114, 0.0973567395011252, 0.010060188083046411, -0.19752798657953882, 0.37164309469965073, 0.07148667299099123, 0.20120092704130982, -0.12350909128256787, 0.1979963635900416, 0.0775977081133393, 0.019879479713451404, 0.0664734007575764, 0.27861463932248837, 0.1932406968531163, 0.14690878545829597, -0.34440421668561894, 0.07628810231667907, 0.031961962406057864] |
707.2128 | Entropy of the Schwarzschild black hole to all orders in the Planck
length | Considering corrections to all orders in the Planck length on the quantum
state density from a generalized uncertainty principle (GUP), we calculate the
statistical entropy of the scalar field on the background of the Schwarzschild
black hole without any cutoff. We obtain the entropy of the massive scalar
field proportional to the horizon area.
| gr-qc | considering corrections to all orders in the planck length on the quantum state density from a generalized uncertainty principle gup we calculate the statistical entropy of the scalar field on the background of the schwarzschild black hole without any cutoff we obtain the entropy of the massive scalar field proportional to the horizon area | [['considering', 'corrections', 'to', 'all', 'orders', 'in', 'the', 'planck', 'length', 'on', 'the', 'quantum', 'state', 'density', 'from', 'a', 'generalized', 'uncertainty', 'principle', 'gup', 'we', 'calculate', 'the', 'statistical', 'entropy', 'of', 'the', 'scalar', 'field', 'on', 'the', 'background', 'of', 'the', 'schwarzschild', 'black', 'hole', 'without', 'any', 'cutoff', 'we', 'obtain', 'the', 'entropy', 'of', 'the', 'massive', 'scalar', 'field', 'proportional', 'to', 'the', 'horizon', 'area']] | [-0.1568674555013853, 0.14311546401155215, -0.08919692863882692, 0.1499526184052229, -0.04906532095089831, -0.07319854868196503, 0.0206908579458724, 0.2188893073686847, -0.2020550482664947, -0.2941218234805597, 0.06548872071585653, -0.3462051196299769, -0.009433860476646159, 0.18409675932316868, -0.04723751936452808, 0.07174307563238674, -0.04679821187595802, 0.1534096758329758, -0.1055402435120885, -0.23659645048987674, 0.4053937058067984, 0.12282968701846483, 0.26538257199098114, 0.03750980497096424, 0.1204731555448638, 0.03768507388627364, -0.004040108760818839, 0.09519107929534382, -0.21963049071254553, 0.10119670400120041, 0.1372683377660535, 0.10916207163353209, 0.20106925604933942, -0.3713987862423959, -0.27721869897235324, 0.11370954528037044, 0.05813844103573097, 0.18124559564791895, -0.0033493601346250485, -0.27137144896443244, 0.0372247212799266, -0.2271726157999149, -0.12730581092613716, -0.01779128232953587, 0.00047531215629229945, -0.08920079447260057, -0.20721701787853683, 0.15956347799618487, 0.011275757367170795, -0.05922129238024354, -0.10077639724369403, -0.07949148387544686, -0.011470115877239517, 0.06039019593865507, 0.14856335293087694, 0.02654498339527183, 0.2088684205621205, -0.12193263791225574, -0.11175308173470613, 0.33024261608995775, -0.1253650129807216, -0.1984057087727167, 0.06605607010769071, -0.23889897917224853, -0.08346526208333671, 0.0973421380708546, 0.15777272599990722, 0.12813658246563542, -0.14043334547292302, 0.1824613720075124, 0.057519576527368, 0.22036238528650115, 0.11118819724975361, 0.07511390600767401, 0.31584849757038885, 0.047023872310226714, 0.06930047830704737, 0.1810496987050606, -0.11533353177623616, -0.14361067340467815, -0.39747473073226436, -0.16786829521448385, -0.19871956703503169, 0.1207835518375591, -0.232004152852352, -0.1770398472090838, 0.3375722982541279, 0.1567121740706541, 0.14441182712713876, 0.07247306513427584, 0.2786895478213275, 0.1687955896853021, 0.09477705716293443, 0.12404956275821422, 0.3265968889894861, 0.16713845239374442, 0.09349797630717081, -0.3001482933285405, -0.08652560803521839, 0.10245336954809588] |
707.2129 | Age Problem in the Holographic Dark Energy Model | In this note, we test the original holographic dark energy model with some
old high redshift objects. The main idea is very simple: the universe cannot be
younger than its constituents. We find that the original holographic dark
energy model can be ruled out, unless a lower Hubble constant is taken.
| astro-ph gr-qc hep-th | in this note we test the original holographic dark energy model with some old high redshift objects the main idea is very simple the universe cannot be younger than its constituents we find that the original holographic dark energy model can be ruled out unless a lower hubble constant is taken | [['in', 'this', 'note', 'we', 'test', 'the', 'original', 'holographic', 'dark', 'energy', 'model', 'with', 'some', 'old', 'high', 'redshift', 'objects', 'the', 'main', 'idea', 'is', 'very', 'simple', 'the', 'universe', 'can', 'not', 'be', 'younger', 'than', 'its', 'constituents', 'we', 'find', 'that', 'the', 'original', 'holographic', 'dark', 'energy', 'model', 'can', 'be', 'ruled', 'out', 'unless', 'a', 'lower', 'hubble', 'constant', 'is', 'taken']] | [-0.0844618992593426, 0.16237794736830088, -0.1986550054190537, 0.18236252917379786, -0.17163406355449787, -0.1632695552857163, -0.005082411055739682, 0.36567679391457486, -0.196485823020339, -0.343623580948378, 0.03332965421857527, -0.21077344536360426, -0.0416012262352384, 0.16700781014067337, -0.08595863308829184, -0.06064309040196419, 0.04701438044699339, 0.014066382293374492, -0.03991819587911148, -0.353664288798777, 0.291670442908071, 0.10979066545573565, 0.19400913748764792, 0.035817898165148035, 0.07535497502137262, -0.11626046363156863, -0.01915704358655673, 0.04550312756775664, -0.16709109090893784, 0.05496028377316319, 0.21867084165569395, 0.12445366454239075, 0.22736985960867828, -0.38618426189686245, -0.2291060510951166, 0.20994730714636928, 0.19095142411354643, 0.13766465893982407, -0.045582646826425426, -0.250334113675098, 0.08194868546874765, -0.17962208008751845, -0.148026358963062, -0.006700186802145953, -0.05565774820458431, -0.05427397329073686, -0.1567836135106448, 0.13991766199111366, -0.0006330938463529142, -0.05521971875658402, -0.11663610841228197, -0.11321452433744875, -0.027279578579159882, 0.013869336233116113, 0.059898491290648684, 0.06721543937993164, 0.134668063157453, -0.15318513833111724, 0.005540985372275687, 0.4106453424677826, -0.10137659245167295, -0.13793699686916974, 0.19101107273197088, -0.15313743522319084, -0.1352021460009452, 0.08938425321293135, 0.06849759456235915, 0.10081354138226463, -0.1714460177329154, 0.1037216151598841, -0.07392597782801694, 0.24879398655432922, 0.039429810005598344, 0.03444947933670706, 0.31391880252900034, 0.15486511693094285, 0.022973988348474868, 0.11662195896496996, -0.06721874716906594, -0.047574136370363146, -0.35533350913857037, -0.16400036754874656, -0.2116095255702161, 0.09752914858024898, -0.1519410980399698, -0.07625777654510994, 0.3409434467142161, 0.1272844292778665, 0.21166674656650195, 0.08482955865418682, 0.3204130076158505, 0.10895781584370595, 0.0850147102050519, 0.12482352591513728, 0.3135013093465554, 0.04792175642572916, 0.08422244920466955, -0.16614289619386768, 0.014317278436814936, 0.045989817599407755] |
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