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711.4108 | Tachyon-Free Non-Supersymmetric Strings on Orbifolds | We discuss tachyon-free examples of (Type IIB on) non-compact
non-supersymmetric orbifolds. Tachyons are projected out by discrete torsion
between orbifold twists, while supersymmetry is broken by a Scherk-Schwarz
phase (+1/-1 when acting on space-time bosons/fermions) accompanying some even
order twists. The absence of tachyons is encouraging for constructing
non-supersymmetric D3-brane gauge theories with stable infrared fixed points.
The D3-brane gauge theories in our orbifold backgrounds have chiral N = 1
supersymmetric spectra, but non-supersymmetric interactions.
| hep-th | we discuss tachyonfree examples of type iib on noncompact nonsupersymmetric orbifolds tachyons are projected out by discrete torsion between orbifold twists while supersymmetry is broken by a scherkschwarz phase 11 when acting on spacetime bosonsfermions accompanying some even order twists the absence of tachyons is encouraging for constructing nonsupersymmetric d3brane gauge theories with stable infrared fixed points the d3brane gauge theories in our orbifold backgrounds have chiral n 1 supersymmetric spectra but nonsupersymmetric interactions | [['we', 'discuss', 'tachyonfree', 'examples', 'of', 'type', 'iib', 'on', 'noncompact', 'nonsupersymmetric', 'orbifolds', 'tachyons', 'are', 'projected', 'out', 'by', 'discrete', 'torsion', 'between', 'orbifold', 'twists', 'while', 'supersymmetry', 'is', 'broken', 'by', 'a', 'scherkschwarz', 'phase', '11', 'when', 'acting', 'on', 'spacetime', 'bosonsfermions', 'accompanying', 'some', 'even', 'order', 'twists', 'the', 'absence', 'of', 'tachyons', 'is', 'encouraging', 'for', 'constructing', 'nonsupersymmetric', 'd3brane', 'gauge', 'theories', 'with', 'stable', 'infrared', 'fixed', 'points', 'the', 'd3brane', 'gauge', 'theories', 'in', 'our', 'orbifold', 'backgrounds', 'have', 'chiral', 'n', '1', 'supersymmetric', 'spectra', 'but', 'nonsupersymmetric', 'interactions']] | [-0.20502586988417582, 0.22561287961119936, -0.043580276146688426, 0.20299304351273523, -0.11633552821365663, -0.2693362642973158, -0.038449860517741054, 0.34975803744148565, -0.04271712081154456, -0.2536990573956958, 0.10249952812886771, -0.29002679411221194, -0.136700413457269, 0.06303521957739282, -0.1285222364161667, -0.010083844054591012, -0.052656148723955895, 0.007600888276372004, -0.14903062292865502, -0.3272203739380112, 0.37803765909897313, -0.047078893243058306, 0.2331153868471046, 0.018450567014263692, 0.07979701132658315, -0.047683668982810214, 0.02143451477073737, -0.05122557059685524, -0.08389656916463266, 0.050954814707684155, 0.25414565298706293, -0.027590659104061086, -0.0007837338867043523, -0.4554269768775919, -0.2430898270292862, 0.18999685376656014, 0.2042933040915208, 0.1570117078403741, -0.05864271621307912, -0.33932386752142496, 0.06939275650232024, -0.1522868126630783, -0.21261135891797273, -0.12437769006056762, 0.006474338597743897, -0.13084492399561773, -0.19231106353470603, 0.04215409023045386, -0.053017296512906965, 0.11862524340835374, -0.03577935344199776, -0.05868423125247244, -0.1714978462393471, -0.009450234423589741, 0.22911359301164141, 0.04518390518638331, 0.1590383945825837, -0.1997610031551606, -0.1878672341526662, 0.3555548607837409, -0.043293200135923214, -0.2329643410882233, 0.12003190110978745, -0.10566354898037389, -0.21487103029456292, 0.17227581188686797, 0.023453901672886836, 0.1987953113983511, -0.039884813643741815, 0.3213862166047801, -0.02435866292452792, 0.07837872921860449, 0.1527950867217638, 0.014282358111813664, 0.321862619710029, 0.06502874087026292, 0.0851524865563103, 0.11543129056981588, 0.01615380622113023, -0.12615765939699486, -0.5363772952350209, -0.06496391800307744, -0.04964587371560392, 0.19357462533799982, -0.18992518130815714, -0.15028714612629768, 0.3474215775526859, 0.03463386230774828, 0.1271245782892849, 0.08917859603172622, 0.14206785814383546, 0.0008423164615885833, 0.07661178213468678, 0.033455136935289544, 0.23042318268523337, 0.1211225950879649, 0.0348918307352358, -0.22803998289227084, -0.2829110950067941, 0.28605136445194884] |
711.4109 | Constraints on the correlation between QSO luminosity and host halo mass
from high-redshift quasar clustering | Recent measurements of high-redshift QSO clustering from the Sloan Digital
Sky Survey indicate that QSOs at z~4 have a bias b~14. We find that this
extremely high clustering amplitude, combined with the corresponding space
density, constrains the dispersion in the L-Mhalo relation to be less than 50%
at 99% confidence for the most conservative case of a 100% duty cycle. This
upper limit to the intrinsic dispersion provides as strong a constraint as
current upper limits to the intrinsic dispersion in the local M_BH-sigma
relation and the ratio of bolometric to Eddington luminosity of luminous QSOs.
| astro-ph | recent measurements of highredshift qso clustering from the sloan digital sky survey indicate that qsos at z4 have a bias b14 we find that this extremely high clustering amplitude combined with the corresponding space density constrains the dispersion in the lmhalo relation to be less than 50 at 99 confidence for the most conservative case of a 100 duty cycle this upper limit to the intrinsic dispersion provides as strong a constraint as current upper limits to the intrinsic dispersion in the local m_bhsigma relation and the ratio of bolometric to eddington luminosity of luminous qsos | [['recent', 'measurements', 'of', 'highredshift', 'qso', 'clustering', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'indicate', 'that', 'qsos', 'at', 'z4', 'have', 'a', 'bias', 'b14', 'we', 'find', 'that', 'this', 'extremely', 'high', 'clustering', 'amplitude', 'combined', 'with', 'the', 'corresponding', 'space', 'density', 'constrains', 'the', 'dispersion', 'in', 'the', 'lmhalo', 'relation', 'to', 'be', 'less', 'than', '50', 'at', '99', 'confidence', 'for', 'the', 'most', 'conservative', 'case', 'of', 'a', '100', 'duty', 'cycle', 'this', 'upper', 'limit', 'to', 'the', 'intrinsic', 'dispersion', 'provides', 'as', 'strong', 'a', 'constraint', 'as', 'current', 'upper', 'limits', 'to', 'the', 'intrinsic', 'dispersion', 'in', 'the', 'local', 'm_bhsigma', 'relation', 'and', 'the', 'ratio', 'of', 'bolometric', 'to', 'eddington', 'luminosity', 'of', 'luminous', 'qsos']] | [-0.0760020101540967, 0.06493177510381333, -0.04369842296858367, 0.1369476838306965, -0.12852993628598358, -0.05191173982365351, 0.12003950518801024, 0.3864476580172777, -0.12620647391426917, -0.37267747339057294, 0.07870953830792324, -0.34485520778321904, 0.00529366085109742, 0.24246750923366084, -0.017618001384758636, -0.018288971408956536, -0.024268868713835743, -0.08148518626235034, -0.07797694629989564, -0.27954699015489926, 0.252218183728033, 0.11684599943753136, 0.2959485081465621, -0.0482429136607894, 0.10293960579009237, -0.07087349384336879, -0.05839461424927178, 0.029653488324746784, -0.13562943525198773, 0.07222190527735572, 0.2669592110489152, 0.09800687742076422, 0.23156861756977282, -0.2705397566192244, -0.15289672025920528, 0.11200206112974373, 0.18970456765474458, 0.06019842607018195, -0.02122916091282509, -0.23185643350558455, 0.09866245581131232, -0.1816365795577631, -0.13061434116802717, 0.07060383888157575, 0.07659521154128016, 0.035908155300115284, -0.18637615428551246, 0.2027792852617016, 0.02836279203429034, 0.07036586768471782, -0.06316024915707347, -0.09987753003737644, -0.09879865838018687, 0.02803624437533711, 0.016481810916019114, 0.08802590147028432, 0.16063088269438594, -0.17356334853378175, -0.01377759300368397, 0.36941091247687213, -0.10657020007140665, -0.02377185622769359, 0.17047232314178376, -0.22982998411906394, -0.177024792374945, 0.13766552565839926, 0.19071156964882424, 0.05007672408889783, -0.1462260332840838, 0.024746409822623, -0.008594422156334316, 0.2535277940234856, 0.018649858099065327, 0.1115462837740779, 0.2972443952568268, 0.1230231208285611, 0.11749746567005978, 0.07175870617778089, -0.20303642246872186, 0.034112076593660993, -0.2612898432821231, -0.06375339550983258, -0.13152535259846207, 0.13385820271153198, -0.1955758390064339, -0.11438704774665989, 0.31601618582284763, 0.18600625029127849, 0.2684222537264424, 0.16806614884714546, 0.32649025209248067, 0.1823408643237168, 0.08069252666502603, 0.061082508449295636, 0.39696916455501, 0.1655470850142209, 0.06397550370740263, -0.21013821899449747, 0.03829396631029484, 0.027457716455683113] |
711.411 | Width of X-ray lines in cooling flows | The dissipation of turbulent gas motions is one of the likely mechanisms that
has been proposed to heat the intracluster medium (ICM) in the cores of
clusters and groups of galaxies. We consider the impact of gas motions on the
width of the most prominent X-ray emission lines. For heavy elements (like
iron) the expected linewidth is much larger than the width due to pure thermal
broadening and the contribution due to turbulent gas motions should be easily
detected with the new generation of X-ray micro-calorimeters, such as the
Spektr-RG calorimeter (SXC). For instance in the Perseus cluster the turbulent
velocity required to balance radiative cooling (as derived by Rebusco et al.
2006), would imply a width of the 6.7 keV Fe line of 10-20 eV, while the pure
thermal broadening is ~4 eV. The radial dependence of the linewidth is
sensitive to i) the radial dependence of the velocity amplitude and ii) the
"directionality" of the stochastic motions (e.g. isotropic turbulence or
predominantly radial gas motions). If the width of several lines,
characteristic for different gas temperatures, can be measured, then it should
be possible to probe both the "directionality" and the amplitude of the gas
motions. Moreover a measurement of the width would put a lower limit on the
amount of the kinetic energy available for dissipation, giving a constraint on
the ICM models.
| astro-ph | the dissipation of turbulent gas motions is one of the likely mechanisms that has been proposed to heat the intracluster medium icm in the cores of clusters and groups of galaxies we consider the impact of gas motions on the width of the most prominent xray emission lines for heavy elements like iron the expected linewidth is much larger than the width due to pure thermal broadening and the contribution due to turbulent gas motions should be easily detected with the new generation of xray microcalorimeters such as the spektrrg calorimeter sxc for instance in the perseus cluster the turbulent velocity required to balance radiative cooling as derived by rebusco et al 2006 would imply a width of the 67 kev fe line of 1020 ev while the pure thermal broadening is 4 ev the radial dependence of the linewidth is sensitive to i the radial dependence of the velocity amplitude and ii the directionality of the stochastic motions eg isotropic turbulence or predominantly radial gas motions if the width of several lines characteristic for different gas temperatures can be measured then it should be possible to probe both the directionality and the amplitude of the gas motions moreover a measurement of the width would put a lower limit on the amount of the kinetic energy available for dissipation giving a constraint on the icm models | [['the', 'dissipation', 'of', 'turbulent', 'gas', 'motions', 'is', 'one', 'of', 'the', 'likely', 'mechanisms', 'that', 'has', 'been', 'proposed', 'to', 'heat', 'the', 'intracluster', 'medium', 'icm', 'in', 'the', 'cores', 'of', 'clusters', 'and', 'groups', 'of', 'galaxies', 'we', 'consider', 'the', 'impact', 'of', 'gas', 'motions', 'on', 'the', 'width', 'of', 'the', 'most', 'prominent', 'xray', 'emission', 'lines', 'for', 'heavy', 'elements', 'like', 'iron', 'the', 'expected', 'linewidth', 'is', 'much', 'larger', 'than', 'the', 'width', 'due', 'to', 'pure', 'thermal', 'broadening', 'and', 'the', 'contribution', 'due', 'to', 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711.4111 | The Very Low Albedo of an Extrasolar Planet: MOST Spacebased Photometry
of HD 209458 | Measuring the albedo of an extrasolar planet provides insights into its
atmospheric composition and its global thermal properties, including heat
dissipation and weather patterns. Such a measurement requires very precise
photometry of a transiting system sampling fully many phases of the secondary
eclipse. Spacebased optical photometry of the transiting system HD 209458 from
the MOST (Microvariablity and Oscillations of STars) satellite, spanning 14 and
44 days in 2004 and 2005 respectively, allows us to set a sensitive limit on
the optical eclipse of the hot exosolar giant planet in this system. Our best
fit to the observations yields a flux ratio of the planet and star of 7 $\pm$ 9
ppm (parts per million), which corresponds to a geometric albedo through the
MOST bandpass (400-700 nm) of $A_g$ = 0.038 $\pm$ 0.045. This gives a 1$\sigma$
upper limit of 0.08 for the geometric albedo and a 3$\sigma$ upper limit of
0.17. HD 209458b is significantly less reflective than Jupiter (for which $A_g$
would be about 0.5). This low geometric albedo rules out the presence of bright
reflective clouds in this exoplanet's atmosphere. We determine refined
parameters for the star and exoplanet in the HD 209458 system based on a model
fit to the MOST light curve.
| astro-ph | measuring the albedo of an extrasolar planet provides insights into its atmospheric composition and its global thermal properties including heat dissipation and weather patterns such a measurement requires very precise photometry of a transiting system sampling fully many phases of the secondary eclipse spacebased optical photometry of the transiting system hd 209458 from the most microvariablity and oscillations of stars satellite spanning 14 and 44 days in 2004 and 2005 respectively allows us to set a sensitive limit on the optical eclipse of the hot exosolar giant planet in this system our best fit to the observations yields a flux ratio of the planet and star of 7 pm 9 ppm parts per million which corresponds to a geometric albedo through the most bandpass 400700 nm of a_g 0038 pm 0045 this gives a 1sigma upper limit of 008 for the geometric albedo and a 3sigma upper limit of 017 hd 209458b is significantly less reflective than jupiter for which a_g would be about 05 this low geometric albedo rules out the presence of bright reflective clouds in this exoplanets atmosphere we determine refined parameters for the star and exoplanet in the hd 209458 system based on a model fit to the most light curve | [['measuring', 'the', 'albedo', 'of', 'an', 'extrasolar', 'planet', 'provides', 'insights', 'into', 'its', 'atmospheric', 'composition', 'and', 'its', 'global', 'thermal', 'properties', 'including', 'heat', 'dissipation', 'and', 'weather', 'patterns', 'such', 'a', 'measurement', 'requires', 'very', 'precise', 'photometry', 'of', 'a', 'transiting', 'system', 'sampling', 'fully', 'many', 'phases', 'of', 'the', 'secondary', 'eclipse', 'spacebased', 'optical', 'photometry', 'of', 'the', 'transiting', 'system', 'hd', '209458', 'from', 'the', 'most', 'microvariablity', 'and', 'oscillations', 'of', 'stars', 'satellite', 'spanning', '14', 'and', '44', 'days', 'in', '2004', 'and', '2005', 'respectively', 'allows', 'us', 'to', 'set', 'a', 'sensitive', 'limit', 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711.4112 | The power of blazar jets | We estimate the power of relativistic, extragalactic jets by modelling the
spectral energy distribution of a large number of blazars. We adopt a simple
one-zone, homogeneous, leptonic synchrotron and inverse Compton model, taking
into account seed photons originating both locally in the jet and externally.
The blazars under study have an often dominant high energy component, which, if
interpreted as due to inverse Compton radiation, limits the value of the
magnetic field within the emission region. As a consequence, the corresponding
Poynting flux cannot be energetically dominant. Also the bulk kinetic power in
relativistic leptons is often smaller than the dissipated luminosity. This
suggests that the typical jet should comprise an energetically dominant proton
component. If there is one proton per relativistic electrons, jets radiate
around 2-10 per cent of their power in high power blazars and 3-30 per cent in
less powerful BL Lacs.
| astro-ph | we estimate the power of relativistic extragalactic jets by modelling the spectral energy distribution of a large number of blazars we adopt a simple onezone homogeneous leptonic synchrotron and inverse compton model taking into account seed photons originating both locally in the jet and externally the blazars under study have an often dominant high energy component which if interpreted as due to inverse compton radiation limits the value of the magnetic field within the emission region as a consequence the corresponding poynting flux cannot be energetically dominant also the bulk kinetic power in relativistic leptons is often smaller than the dissipated luminosity this suggests that the typical jet should comprise an energetically dominant proton component if there is one proton per relativistic electrons jets radiate around 210 per cent of their power in high power blazars and 330 per cent in less powerful bl lacs | [['we', 'estimate', 'the', 'power', 'of', 'relativistic', 'extragalactic', 'jets', 'by', 'modelling', 'the', 'spectral', 'energy', 'distribution', 'of', 'a', 'large', 'number', 'of', 'blazars', 'we', 'adopt', 'a', 'simple', 'onezone', 'homogeneous', 'leptonic', 'synchrotron', 'and', 'inverse', 'compton', 'model', 'taking', 'into', 'account', 'seed', 'photons', 'originating', 'both', 'locally', 'in', 'the', 'jet', 'and', 'externally', 'the', 'blazars', 'under', 'study', 'have', 'an', 'often', 'dominant', 'high', 'energy', 'component', 'which', 'if', 'interpreted', 'as', 'due', 'to', 'inverse', 'compton', 'radiation', 'limits', 'the', 'value', 'of', 'the', 'magnetic', 'field', 'within', 'the', 'emission', 'region', 'as', 'a', 'consequence', 'the', 'corresponding', 'poynting', 'flux', 'can', 'not', 'be', 'energetically', 'dominant', 'also', 'the', 'bulk', 'kinetic', 'power', 'in', 'relativistic', 'leptons', 'is', 'often', 'smaller', 'than', 'the', 'dissipated', 'luminosity', 'this', 'suggests', 'that', 'the', 'typical', 'jet', 'should', 'comprise', 'an', 'energetically', 'dominant', 'proton', 'component', 'if', 'there', 'is', 'one', 'proton', 'per', 'relativistic', 'electrons', 'jets', 'radiate', 'around', '210', 'per', 'cent', 'of', 'their', 'power', 'in', 'high', 'power', 'blazars', 'and', '330', 'per', 'cent', 'in', 'less', 'powerful', 'bl', 'lacs']] | [-0.047786215294713844, 0.2294672829290766, -0.007810911355055359, 0.20000876257058922, -0.09384035133782213, -0.08981937414740072, -0.0010816285463228618, 0.4080838184956818, -0.21851902195150416, -0.33626331913297713, -0.013639606187783489, -0.2805637755329172, 0.1000449769322486, 0.21837846822366883, 0.032652169532798016, -0.07023639272107449, 0.013072231162518058, -0.05795707530660989, 0.020998090459352792, -0.13420987470802684, 0.2983239059438546, 0.18280669246251657, 0.2474245705708785, 0.03511716492198191, 0.08187632294760838, -0.027101706471039006, -0.021868088260169016, -0.009788602632023904, -0.028893377298055845, 0.03824324909699698, 0.20440241409312576, 0.05039298620508754, 0.2509253981962963, -0.409342839943934, -0.22276616009025618, 0.13350040723939668, 0.18078721670293543, -0.004489058297771757, -0.014231183869849527, -0.164198799626519, 0.07235952777858211, -0.2384780137943206, -0.13384088435950242, 0.01833990515745564, 0.012373087271467515, -0.006189306816787855, -0.2284951889472822, 0.14242646335891276, 0.04311254640246984, 0.017167157201696034, -0.11904099667508615, -0.10467616813129758, -0.0822634771721412, 0.0009582678002802885, 0.1314479228554051, 0.06357243396533169, 0.2043776800106471, -0.1667320071001958, -0.10915319138997528, 0.4422756753421759, -0.013935476896047676, -0.11093789977595618, 0.14094057914239597, -0.2205552153627401, -0.14465651158498574, 0.2577504515328942, 0.19098205293515977, 0.10739477271252401, -0.15026274079469684, 0.008049645664843959, -0.04125048075515573, 0.19457936593752406, 0.0189974965951852, 0.05817899670234996, 0.2970002556398307, 0.11095661631696029, 0.009271284168241673, 0.1374816793736313, -0.1967325452013477, 0.002396802417933941, -0.34174332748588226, -0.07716871586258281, -0.17375999266817554, 0.17047971645411988, -0.12201758283670842, -0.11172072688270718, 0.3947338900681942, 0.06882949920741152, 0.18842715144233957, -0.013898205108564245, 0.3530847798675707, 0.1852091480132626, 0.08961790746192716, 0.21188200504219237, 0.35686865972661197, 0.145831095496486, 0.10278837696636377, -0.18676766074479442, 0.02203825578150939, -0.0036173318305422796] |
711.4113 | Detection of the Transverse Proximity Effect: Radiative Feedback from
Bright QSOs | Measuring the response of the intergalactic medium to a blast of ionizing
radiation allows one to infer the physical properties of the medium and, in
principle, the lifetime and isotropy of the radiating source. The most
sensitive such measurements can be made if the source of radiation is near the
line of sight to a bright background QSO. We present results based on deep
Keck/HIRES observations of the QSO triplet KP76, KP77 and KP78 at z ~2.5, with
separations of 2-3 arcmin on the plane of the sky. Using accurate systemic
redshifts of the QSOs from near-IR spectroscopy, we quantify the state of the
IGM gas in the proximity regions where the expected ionizing flux from the
foreground QSOs exceeds that of the metagalactic background by factors of
10-200, assuming constant and isotropic emission. Based on the unusual
ionization properties of the absorption systems with detected HI, CIV, and OVI,
we conclude that the gas has been significantly affected by the UV radiation
from the nearby QSOs. Aided by observations of the galaxy density near the
foreground QSOs, we discuss several effects that may explain why the transverse
proximity effect has eluded most previous attempts to detect it. Our
observations suggest that the luminosities of KP76 and KP77 have remained
comparable to current values over timescales of, respectively, Delta t > 25 Myr
and 16 Myr < Delta t < 33 Myr - consistent with typical QSO lifetimes estimated
from independent, less-direct methods. There is no evidence that the UV
radiation from either QSO was significantly anisotropic during these intervals.
| astro-ph | measuring the response of the intergalactic medium to a blast of ionizing radiation allows one to infer the physical properties of the medium and in principle the lifetime and isotropy of the radiating source the most sensitive such measurements can be made if the source of radiation is near the line of sight to a bright background qso we present results based on deep keckhires observations of the qso triplet kp76 kp77 and kp78 at z 25 with separations of 23 arcmin on the plane of the sky using accurate systemic redshifts of the qsos from nearir spectroscopy we quantify the state of the igm gas in the proximity regions where the expected ionizing flux from the foreground qsos exceeds that of the metagalactic background by factors of 10200 assuming constant and isotropic emission based on the unusual ionization properties of the absorption systems with detected hi civ and ovi we conclude that the gas has been significantly affected by the uv radiation from the nearby qsos aided by observations of the galaxy density near the foreground qsos we discuss several effects that may explain why the transverse proximity effect has eluded most previous attempts to detect it our observations suggest that the luminosities of kp76 and kp77 have remained comparable to current values over timescales of respectively delta t 25 myr and 16 myr delta t 33 myr consistent with typical qso lifetimes estimated from independent lessdirect methods there is no evidence that the uv radiation from either qso was significantly anisotropic during these intervals | [['measuring', 'the', 'response', 'of', 'the', 'intergalactic', 'medium', 'to', 'a', 'blast', 'of', 'ionizing', 'radiation', 'allows', 'one', 'to', 'infer', 'the', 'physical', 'properties', 'of', 'the', 'medium', 'and', 'in', 'principle', 'the', 'lifetime', 'and', 'isotropy', 'of', 'the', 'radiating', 'source', 'the', 'most', 'sensitive', 'such', 'measurements', 'can', 'be', 'made', 'if', 'the', 'source', 'of', 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711.4114 | Quantum weak coin flipping with arbitrarily small bias | "God does not play dice. He flips coins instead." And though for some reason
He has denied us quantum bit commitment. And though for some reason he has even
denied us strong coin flipping. He has, in His infinite mercy, granted us
quantum weak coin flipping so that we too may flip coins.
Instructions for the flipping of coins are contained herein. But be warned!
Only those who have mastered Kitaev's formalism relating coin flipping and
operator monotone functions may succeed. For those foolhardy enough to even
try, a complete tutorial is included.
| quant-ph | god does not play dice he flips coins instead and though for some reason he has denied us quantum bit commitment and though for some reason he has even denied us strong coin flipping he has in his infinite mercy granted us quantum weak coin flipping so that we too may flip coins instructions for the flipping of coins are contained herein but be warned only those who have mastered kitaevs formalism relating coin flipping and operator monotone functions may succeed for those foolhardy enough to even try a complete tutorial is included | [['god', 'does', 'not', 'play', 'dice', 'he', 'flips', 'coins', 'instead', 'and', 'though', 'for', 'some', 'reason', 'he', 'has', 'denied', 'us', 'quantum', 'bit', 'commitment', 'and', 'though', 'for', 'some', 'reason', 'he', 'has', 'even', 'denied', 'us', 'strong', 'coin', 'flipping', 'he', 'has', 'in', 'his', 'infinite', 'mercy', 'granted', 'us', 'quantum', 'weak', 'coin', 'flipping', 'so', 'that', 'we', 'too', 'may', 'flip', 'coins', 'instructions', 'for', 'the', 'flipping', 'of', 'coins', 'are', 'contained', 'herein', 'but', 'be', 'warned', 'only', 'those', 'who', 'have', 'mastered', 'kitaevs', 'formalism', 'relating', 'coin', 'flipping', 'and', 'operator', 'monotone', 'functions', 'may', 'succeed', 'for', 'those', 'foolhardy', 'enough', 'to', 'even', 'try', 'a', 'complete', 'tutorial', 'is', 'included']] | [-0.08648506547678667, 0.19775456255909218, -0.1253820922549652, 0.17463193607830402, -0.14814532767859814, -0.39690601624771144, 0.11510181249784933, 0.3974361521313372, -0.19101941024722613, -0.3015792009764877, 0.10344126989619563, -0.2938485541380942, -0.08301786488205519, 0.1314608871926675, -0.20762364199870956, -0.027202106116380055, 0.09712167627826009, 0.048182221363632656, 0.022844647328146613, -0.36379647860050446, 0.24474922574565583, 0.05156826286364104, 0.19034737018038236, 0.03710830573539209, 0.06936610766443545, 0.03166707883001831, 0.010917571692160614, -0.007942962852805225, -0.09299286461282463, 0.010131565904568719, 0.24298708293708446, 0.1543402499873596, 0.3321545808373586, -0.48188709583052475, -0.08764452038778235, 0.18231222987094003, 0.1693015217366021, 0.23727381049209964, -0.059673630845044616, -0.21759257520265554, 0.03161661646774282, -0.19673688278493026, -0.07159206214925254, -0.09761581414014749, 0.04880251698499626, -0.05951864996155643, -0.20240296410781372, -0.024515319397323765, 0.1537716388196239, 0.0544612611360524, 0.06005339433044276, -0.1019399024485408, 0.025048578092221007, 0.2287357497109991, -0.029126736297494852, 0.04857508085463095, 0.09626110562416927, -0.09627063900394284, -0.16203048875879333, 0.36714655467632995, 0.02829910615464146, -0.20306906266056973, 0.09372754245439706, -0.16296544376477276, -0.1632767009065466, 0.07700359945706821, 0.04469790094046165, 0.07831671614321353, -0.08839668192819733, 0.06370759430232599, -0.08067117015952649, 0.15965531900039184, 0.16505655804750227, 0.05275442315589474, 0.20414426313389256, -0.08010290104025246, 0.08434650867053753, 0.061704145297762414, -0.008852835562404083, -0.18607783882433307, -0.2626820581043949, -0.15762705005090538, -0.20143250165426213, 0.16609547488975374, 0.023413086740734085, -0.1358677714977049, 0.322587857584712, 0.15996507939669993, 0.11059780842017221, 0.006930223539593103, 0.2387254821015117, 0.08072244142101187, 0.10104047780876736, 0.07906792270343589, 0.1972323330454579, 0.11392763453414259, 0.14234376755421577, -0.13191941606245286, 0.25055442455366417, 0.06868093527610535] |
711.4115 | Path integral for half-binding potentials as quantum mechanical analog
for black hole partition functions | The semi-classical approximation to black hole partition functions is not
well-defined, because the classical action is unbounded and the first variation
of the uncorrected action does not vanish for all variations preserving the
boundary conditions. Both problems can be solved by adding a Hamilton-Jacobi
counterterm. I show that the same problem and solution arises in quantum
mechanics for half-binding potentials.
| quant-ph gr-qc hep-th | the semiclassical approximation to black hole partition functions is not welldefined because the classical action is unbounded and the first variation of the uncorrected action does not vanish for all variations preserving the boundary conditions both problems can be solved by adding a hamiltonjacobi counterterm i show that the same problem and solution arises in quantum mechanics for halfbinding potentials | [['the', 'semiclassical', 'approximation', 'to', 'black', 'hole', 'partition', 'functions', 'is', 'not', 'welldefined', 'because', 'the', 'classical', 'action', 'is', 'unbounded', 'and', 'the', 'first', 'variation', 'of', 'the', 'uncorrected', 'action', 'does', 'not', 'vanish', 'for', 'all', 'variations', 'preserving', 'the', 'boundary', 'conditions', 'both', 'problems', 'can', 'be', 'solved', 'by', 'adding', 'a', 'hamiltonjacobi', 'counterterm', 'i', 'show', 'that', 'the', 'same', 'problem', 'and', 'solution', 'arises', 'in', 'quantum', 'mechanics', 'for', 'halfbinding', 'potentials']] | [-0.12814073108326077, 0.09695277466059868, -0.1039545645116497, 0.11400736464676842, -0.09181354719340422, -0.16920611171556985, -0.019136602141878616, 0.3247744302754685, -0.29875273686849463, -0.2528816731173103, 0.1242452374327991, -0.2928329592381241, -0.14504213744016775, 0.1366679153199923, -0.14135159648386603, 0.07607286726519213, 0.08138286731190096, 0.022891399482170404, -0.1303168755099651, -0.23440425652000357, 0.31753988481931766, -0.026361436387760787, 0.23389784975956052, 0.10783440483955004, 0.12798583887170178, 0.01001846561429359, 0.04902778505110892, 0.09144763285846655, -0.06729150704027773, 0.038312276341889245, 0.22268662033444744, 0.11332883814476051, 0.253076132528989, -0.43186340733604917, -0.2596680804420168, 0.11093781528584028, 0.1589629788077989, 0.15271629704067768, -0.003120202444872614, -0.22961689665976723, 0.09192702724298431, -0.1161188547878321, -0.1528478621789333, -0.06602392419067732, 0.025775770905380278, -0.05302996785080029, -0.27253258476128517, 0.10037780630449622, 0.08604905283930948, -0.040362358535245314, -0.15828070700389602, -0.039045808221197735, -0.003598766125170356, 0.13925330831779767, 0.04975605401668256, 0.04707315509499572, 0.1291614564893357, -0.14386182049904966, -0.09015276210414151, 0.41462776644186955, -0.06869717398500544, -0.29964414724322447, 0.12817421378725666, -0.1663485569169082, -0.12252054224580021, 0.10110928629272443, 0.04698441265411359, 0.2032913111181835, -0.18751280978953433, 0.19548388015502527, 0.0095250278068075, 0.15853940184086057, 0.09930520686242035, 0.022997007744734066, 0.18341149044049493, 0.008284329357793776, 0.10956074857800188, 0.10963779244122047, 0.0030186888327727378, -0.15923943870179988, -0.3763317347078, -0.11073349593049389, -0.19963824442958744, 0.07105543941971688, -0.10926608475254675, -0.21582873317144685, 0.3304402453635456, 0.12495349320658025, 0.1731975579287036, 0.06127261734958264, 0.2484163469713876, 0.22736498089980775, 0.08378680836472471, 0.07926055067613469, 0.2613294530912476, 0.09115520182018311, 0.0637678130671887, -0.26905635215531465, 0.017574194566173068, 0.15667018270656718] |
711.4116 | Star Formation at Zero and Very Low Metallicities | We describe how star formation is expected to proceed in the early metal-free
Universe, focusing on the very first generations of stars. We then discuss how
the star formation process may change as the effects of metallicity, external
radiative feedback, and magnetic and turbulent support of the gas become more
important. The very first stars (Pop III.1) have relatively simple initial
conditions set by cosmology and the cooling properties of primordial gas. We
describe the evolution of these stars as they grow in mass by accretion from
their surrounding gas cores and how the accretion process is affected and
eventually terminated by radiative feedback processes, especially HII region
expansion and disk photoevaporation. The ability of the protostar and its disk
to generate dynamically important magnetic fields is reviewed and their effects
discussed. Pop III.1 star formation is likely to produce massive (~100-200Msun)
stars that then influence their surroundings via ionization, stellar winds, and
supernovae. These processes heat, ionize and metal-enrich the gas, thus
altering the initial conditions for the next generation of star formation.
Stars formed from gas that has been altered significantly by radiative and/or
mechanical feedback, but not by metal enrichment (Pop III.2) are expected to
have significantly smaller masses than Pop III.1 stars because of more
efficient cooling from enhanced HD production. Stars formed from gas that is
metal-enriched to levels that affect the dynamics of the collapse (the first
Pop II stars) are also expected to have relatively low masses. We briefly
compare the above star formation scenarios to what is known about present-day
star formation.
| astro-ph | we describe how star formation is expected to proceed in the early metalfree universe focusing on the very first generations of stars we then discuss how the star formation process may change as the effects of metallicity external radiative feedback and magnetic and turbulent support of the gas become more important the very first stars pop iii1 have relatively simple initial conditions set by cosmology and the cooling properties of primordial gas we describe the evolution of these stars as they grow in mass by accretion from their surrounding gas cores and how the accretion process is affected and eventually terminated by radiative feedback processes especially hii region expansion and disk photoevaporation the ability of the protostar and its disk to generate dynamically important magnetic fields is reviewed and their effects discussed pop iii1 star formation is likely to produce massive 100200msun stars that then influence their surroundings via ionization stellar winds and supernovae these processes heat ionize and metalenrich the gas thus altering the initial conditions for the next generation of star formation stars formed from gas that has been altered significantly by radiative andor mechanical feedback but not by metal enrichment pop iii2 are expected to have significantly smaller masses than pop iii1 stars because of more efficient cooling from enhanced hd production stars formed from gas that is metalenriched to levels that affect the dynamics of the collapse the first pop ii stars are also expected to have relatively low masses we briefly compare the above star formation scenarios to what is known about presentday star formation | [['we', 'describe', 'how', 'star', 'formation', 'is', 'expected', 'to', 'proceed', 'in', 'the', 'early', 'metalfree', 'universe', 'focusing', 'on', 'the', 'very', 'first', 'generations', 'of', 'stars', 'we', 'then', 'discuss', 'how', 'the', 'star', 'formation', 'process', 'may', 'change', 'as', 'the', 'effects', 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'produce', 'massive', '100200msun', 'stars', 'that', 'then', 'influence', 'their', 'surroundings', 'via', 'ionization', 'stellar', 'winds', 'and', 'supernovae', 'these', 'processes', 'heat', 'ionize', 'and', 'metalenrich', 'the', 'gas', 'thus', 'altering', 'the', 'initial', 'conditions', 'for', 'the', 'next', 'generation', 'of', 'star', 'formation', 'stars', 'formed', 'from', 'gas', 'that', 'has', 'been', 'altered', 'significantly', 'by', 'radiative', 'andor', 'mechanical', 'feedback', 'but', 'not', 'by', 'metal', 'enrichment', 'pop', 'iii2', 'are', 'expected', 'to', 'have', 'significantly', 'smaller', 'masses', 'than', 'pop', 'iii1', 'stars', 'because', 'of', 'more', 'efficient', 'cooling', 'from', 'enhanced', 'hd', 'production', 'stars', 'formed', 'from', 'gas', 'that', 'is', 'metalenriched', 'to', 'levels', 'that', 'affect', 'the', 'dynamics', 'of', 'the', 'collapse', 'the', 'first', 'pop', 'ii', 'stars', 'are', 'also', 'expected', 'to', 'have', 'relatively', 'low', 'masses', 'we', 'briefly', 'compare', 'the', 'above', 'star', 'formation', 'scenarios', 'to', 'what', 'is', 'known', 'about', 'presentday', 'star', 'formation']] | [-0.034310211721255424, 0.21056510650646665, -0.026493873492302013, 0.1585044963389813, -0.11114686757484957, -0.047592195577544065, 0.06633212244094805, 0.39261336839404104, -0.19281763499280052, -0.3288912807610211, 0.07859280399433084, -0.2328566087828588, -0.025698531998408047, 0.180383567826447, -0.0031941160127891013, -0.07780164763779929, 0.09009880779939163, -0.06633992970816416, -0.03587605670801104, -0.31481230576963043, 0.39983035060180017, 0.11140341726456617, 0.12678186916439368, 0.0010185228812313357, -0.0017258693417173255, -0.19104440528321867, -0.04203954970986626, -0.05845791488107972, -0.17354991543749726, 0.009834316053767075, 0.17985188972490096, 0.18412127250231541, 0.2439556069340008, -0.46254494178375993, -0.23657755684768583, 0.05855663771454115, 0.22869467335688168, 0.09892320632393103, -0.1453897133538393, 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711.4117 | A Simplified Calculation for the Fundamental Solution to the Heat
Equation on the Heisenberg Group | Let $L = -1/4 (\sum_{j=1}^n(X_j^2+Y_j^2)+i\gamma T)$ where $\gamma$ is a
complex number, $X_j$, $Y_j$, and $T$ are the left invariant vector fields of
the Heisenberg group structure for $R^n \times R^n \times R$. We explicitly
compute the Fourier transform (in the spatial variables) of the fundamental
solution of the Heat Equation $\partial_s\rho = -L\rho$. As a consequence, we
have a simplified computation of the Fourier transform of the fundamental
solution of the $\Box_b$-heat equation on the Heisenberg group and an explicit
kernel of the heat equation associated to the weighted dbar-operator in $C^n$
with weight $\exp(-\tau P(z_1,...,z_n))$ where $P(z_1,...,z_n) = 1/2(x_1^2 +
>... x_n^2)$, $z_j=x_j+iy_j$, and $\tau\in R$.
| math.AP | let l 14 sum_j1nx_j2y_j2igamma t where gamma is a complex number x_j y_j and t are the left invariant vector fields of the heisenberg group structure for rn times rn times r we explicitly compute the fourier transform in the spatial variables of the fundamental solution of the heat equation partial_srho lrho as a consequence we have a simplified computation of the fourier transform of the fundamental solution of the box_bheat equation on the heisenberg group and an explicit kernel of the heat equation associated to the weighted dbaroperator in cn with weight exptau pz_1z_n where pz_1z_n 12x_12 x_n2 z_jx_jiy_j and tauin r | [['let', 'l', '14', 'sum_j1nx_j2y_j2igamma', 't', 'where', 'gamma', 'is', 'a', 'complex', 'number', 'x_j', 'y_j', 'and', 't', 'are', 'the', 'left', 'invariant', 'vector', 'fields', 'of', 'the', 'heisenberg', 'group', 'structure', 'for', 'rn', 'times', 'rn', 'times', 'r', 'we', 'explicitly', 'compute', 'the', 'fourier', 'transform', 'in', 'the', 'spatial', 'variables', 'of', 'the', 'fundamental', 'solution', 'of', 'the', 'heat', 'equation', 'partial_srho', 'lrho', 'as', 'a', 'consequence', 'we', 'have', 'a', 'simplified', 'computation', 'of', 'the', 'fourier', 'transform', 'of', 'the', 'fundamental', 'solution', 'of', 'the', 'box_bheat', 'equation', 'on', 'the', 'heisenberg', 'group', 'and', 'an', 'explicit', 'kernel', 'of', 'the', 'heat', 'equation', 'associated', 'to', 'the', 'weighted', 'dbaroperator', 'in', 'cn', 'with', 'weight', 'exptau', 'pz_1z_n', 'where', 'pz_1z_n', '12x_12', 'x_n2', 'z_jx_jiy_j', 'and', 'tauin', 'r']] | [-0.17507771965153893, 0.10290786913126317, -0.057088381187482315, 0.010387070661627057, -0.07988363784276928, -0.1271721283867579, 0.011429573491573183, 0.3283525384548638, -0.327780623515748, -0.18244502826527964, 0.11482172000052576, -0.31562382816760376, -0.08927833193894287, 0.16531929983334107, -0.005361180171321118, 0.034152645773090885, -0.02743068654466458, 0.15060312340431142, -0.09802148653890448, -0.20951446493607806, 0.29695462051666144, -0.037138200435561666, 0.17688452350822362, -0.017314798875965855, 0.11407615487096888, 0.02151472279166972, -0.023094391205696143, -0.07047356287666569, -0.1783594624280478, 0.08966539543230237, 0.2090396276778645, 0.06385954545053531, 0.2219120183738532, -0.383708166880439, -0.15883827037083906, 0.1675439416854219, 0.15200161648387409, -0.07547412732747769, 0.017273937214419922, -0.26999397423457017, 0.07307816771884458, -0.11511167285568787, -0.11954387715274487, -0.058638231182056993, 0.11029272566248446, 0.04265871025960554, -0.3055279294688565, 0.12710568475339448, 0.08689338516448672, 0.03311993811288943, -0.0625723074801793, -0.16185085723327117, -0.026493869783036937, 0.07148486266684051, 0.014561445713325433, 0.11440182795202491, 0.053580033248337454, -0.10980407563461499, -0.049180542789705364, 0.36984445293894924, -0.09449532171805398, -0.2566719243698048, 0.08737429904967847, -0.19055078962272165, -0.12280578479979827, 0.07268952128637318, 0.13389733151034122, 0.14603232291310725, -0.10188328638505849, 0.24242290495859573, -0.08329827238739741, 0.12663239067552065, 0.06574919050785177, 0.012793409934436733, 0.06759615261766194, 0.06704116189755932, 0.07520966471944268, 0.09995457054953082, -0.0630234291129087, -0.0361466384916143, -0.34674181777871016, -0.21896400340277739, -0.21256097765037357, 0.1526228376908811, -0.1680697130994469, -0.13309179026294837, 0.3681461393005318, 0.036162664812773165, 0.21097722147106937, 0.05634051008911973, 0.19622863676737656, 0.17421099122006897, 0.035413425669751385, 0.11819044378764852, 0.04977134798184235, 0.21644002667186085, 0.05819087207606627, -0.23920080384164297, -0.043580694788199086, 0.15665217205844442] |
711.4118 | Holographic entanglement entropy for disconnected regions | We present a simple derivation of the entanglement entropy for a region made
up of a union of disjoint intervals in 1+1 dimensional quantum field theories
using holographic techniques. This generalizes the results for 1+1 dimensional
conformal field theories derived previously by exploiting the uniformization
map. We further comment on the generalization of our result to higher
dimensional field theories.
| hep-th cond-mat.stat-mech quant-ph | we present a simple derivation of the entanglement entropy for a region made up of a union of disjoint intervals in 11 dimensional quantum field theories using holographic techniques this generalizes the results for 11 dimensional conformal field theories derived previously by exploiting the uniformization map we further comment on the generalization of our result to higher dimensional field theories | [['we', 'present', 'a', 'simple', 'derivation', 'of', 'the', 'entanglement', 'entropy', 'for', 'a', 'region', 'made', 'up', 'of', 'a', 'union', 'of', 'disjoint', 'intervals', 'in', '11', 'dimensional', 'quantum', 'field', 'theories', 'using', 'holographic', 'techniques', 'this', 'generalizes', 'the', 'results', 'for', '11', 'dimensional', 'conformal', 'field', 'theories', 'derived', 'previously', 'by', 'exploiting', 'the', 'uniformization', 'map', 'we', 'further', 'comment', 'on', 'the', 'generalization', 'of', 'our', 'result', 'to', 'higher', 'dimensional', 'field', 'theories']] | [-0.11570846217994889, 0.07963163037008296, -0.07127353531153252, 0.02619195247340637, -0.02495404489648839, -0.1280600587915008, 0.05004214122697401, 0.284744944019864, -0.1750899954000488, -0.2364587540117403, 0.08108181156179246, -0.23011815507585803, -0.14238677027945718, 0.22666711987306673, -0.07916696145014915, 0.029878128971904516, 0.0007095053054702779, 0.04869828997179866, -0.12363969143480062, -0.30484376090268295, 0.375994770694524, 0.012421938829356804, 0.2833975818163405, 0.06212910792479912, 0.12071675245339672, 0.03618775420084906, -0.02742801985392968, 0.11942561122899255, -0.2091532038602357, 0.17856460694844525, 0.2305164604098536, 0.11210096493984262, 0.18251965247715513, -0.38508483953773975, -0.2977219075895846, 0.060973630465256674, 0.12283463620891173, 0.15112398241568978, -0.021016120807810998, -0.2990396316473683, 0.03384819943457842, -0.16666593267582358, -0.1550248697012042, -0.08957554878046116, -0.023631336262527232, -0.09967460207020243, -0.2336714406264946, 0.08228971431187043, 0.07825394865746299, 0.12832345645996004, -0.050833674559059246, -0.06727767346116403, 0.046555580156079183, 0.061463801415326695, 0.04001308085862547, 0.09312239184509963, 0.07390677284371729, -0.13283659764650413, -0.20687069393073518, 0.3035839268316825, -0.08705625783574457, -0.19104546705881756, 0.22249104926595464, -0.15639890348757035, -0.18917721361697962, 0.07822579622734338, 0.10817791128647514, 0.1548925417009741, -0.11712077258465191, 0.17194300893849382, -0.07174879068819186, 0.127124560251832, 0.10774871165243288, 0.022175824521885563, 0.21937017010059207, 0.10574994861187102, 0.04016194612098237, 0.20803098140362028, -0.03193831242388114, -0.10008956398038814, -0.37149619090681274, -0.21471697352826596, -0.16410824752723177, 0.10862096160417423, -0.1573515583605816, -0.1382671271606038, 0.38770189996187887, 0.14549922478593846, 0.1825019251089543, 0.10293748187832534, 0.2282736273482442, 0.13245069293964964, 0.08981274178562065, 0.06994909628604849, 0.21588498483761215, 0.20338683982457345, 0.04688042277897087, -0.1380274794685344, -0.14882456841878594, 0.2002203340739167] |
711.4119 | Testing Cosmology with Cosmic Sound Waves | WMAP observations have accurately determined the position of the first two
peaks and dips in the CMB temperature power spectrum. These encode information
on the ratio of the distance to the last scattering surface to the sound
horizon at decoupling. However pre-recombination processes can contaminate this
distance information. In order to assess the amplitude of these effects we use
the WMAP data and evaluate the relative differences of the CMB peaks and dips
multipoles. We find that the position of the first peak is largely displaced
with the respect to the expected position of the sound horizon scale at
decoupling. In contrast the relative spacings of the higher extrema are
statistically consistent with those expected from perfect harmonic
oscillations. This provides evidence for a scale dependent phase shift of the
CMB oscillations which is caused by gravitational driving forces affecting the
propagation of sound waves before recombination. By accounting for these
effects we have performed a MCMC likelihood analysis to constrain in
combination with recent BAO data a constant dark energy equation w. For a flat
universe we find at 95% upper limit w<-1.10, and including the HST prior
w<-1.14, which are only marginally consistent with limits derived from the
supernova SNLS sample. Larger limits are obtained for non-flat cosmologies.
From the full CMB likelihood analysis we also estimate the values of the
shift parameter R and the multipole l_a of the acoustic horizon at decoupling
for several cosmologies to test their dependence on model assumptions. Although
the analysis of the full CMB spectra should be always preferred, using the
position of the CMB peaks and dips provide a simple and consistent method for
combining CMB constraints with other datasets.
| astro-ph | wmap observations have accurately determined the position of the first two peaks and dips in the cmb temperature power spectrum these encode information on the ratio of the distance to the last scattering surface to the sound horizon at decoupling however prerecombination processes can contaminate this distance information in order to assess the amplitude of these effects we use the wmap data and evaluate the relative differences of the cmb peaks and dips multipoles we find that the position of the first peak is largely displaced with the respect to the expected position of the sound horizon scale at decoupling in contrast the relative spacings of the higher extrema are statistically consistent with those expected from perfect harmonic oscillations this provides evidence for a scale dependent phase shift of the cmb oscillations which is caused by gravitational driving forces affecting the propagation of sound waves before recombination by accounting for these effects we have performed a mcmc likelihood analysis to constrain in combination with recent bao data a constant dark energy equation w for a flat universe we find at 95 upper limit w110 and including the hst prior w114 which are only marginally consistent with limits derived from the supernova snls sample larger limits are obtained for nonflat cosmologies from the full cmb likelihood analysis we also estimate the values of the shift parameter r and the multipole l_a of the acoustic horizon at decoupling for several cosmologies to test their dependence on model assumptions although the analysis of the full cmb spectra should be always preferred using the position of the cmb peaks and dips provide a simple and consistent method for combining cmb constraints with other datasets | [['wmap', 'observations', 'have', 'accurately', 'determined', 'the', 'position', 'of', 'the', 'first', 'two', 'peaks', 'and', 'dips', 'in', 'the', 'cmb', 'temperature', 'power', 'spectrum', 'these', 'encode', 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'several', 'cosmologies', 'to', 'test', 'their', 'dependence', 'on', 'model', 'assumptions', 'although', 'the', 'analysis', 'of', 'the', 'full', 'cmb', 'spectra', 'should', 'be', 'always', 'preferred', 'using', 'the', 'position', 'of', 'the', 'cmb', 'peaks', 'and', 'dips', 'provide', 'a', 'simple', 'and', 'consistent', 'method', 'for', 'combining', 'cmb', 'constraints', 'with', 'other', 'datasets']] | [-0.10232962236349975, 0.11988469964042674, -0.09768109857755643, 0.0955804189138021, -0.09069143539281248, -0.08336981076339935, 0.03219471307551508, 0.3507896300211656, -0.240450700494631, -0.32272590537981954, 0.09354207943624226, -0.33655585803251753, -0.02960877933336662, 0.21476543456145752, 0.03321492122352711, 0.015496919255031483, 0.04478847789477997, 0.006683815294967657, -0.08199144506620036, -0.23000217776436369, 0.3099795175519335, 0.14436823385684186, 0.2847853112218094, 0.021539317988907403, 0.0855486800753942, -0.03670368909812449, -0.08526987677997505, 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711.412 | Examples of Coorbit Spaces for Dual Pairs | In this paper we summarize and give examples of a generalization of the
coorbit space theory initiated in the 1980's by H.G. Feichtinger and K.H.
Gr\"ochenig. Coorbit theory has been a powerful tool in characterizing Banach
spaces of distributions with the use of integrable representations of locally
compact groups. Examples are a wavelet characterization of the Besov spaces and
a characterization of some Bergman spaces by the discrete series representation
of $\mathrm{SL}_2(\mathbb{R})$. We present examples of Banach spaces which
could not be covered by the previous theory, and we also provide atomic
decompositions for an example related to a non-integrable representation.
| math.FA math.RT | in this paper we summarize and give examples of a generalization of the coorbit space theory initiated in the 1980s by hg feichtinger and kh grochenig coorbit theory has been a powerful tool in characterizing banach spaces of distributions with the use of integrable representations of locally compact groups examples are a wavelet characterization of the besov spaces and a characterization of some bergman spaces by the discrete series representation of mathrmsl_2mathbbr we present examples of banach spaces which could not be covered by the previous theory and we also provide atomic decompositions for an example related to a nonintegrable representation | [['in', 'this', 'paper', 'we', 'summarize', 'and', 'give', 'examples', 'of', 'a', 'generalization', 'of', 'the', 'coorbit', 'space', 'theory', 'initiated', 'in', 'the', '1980s', 'by', 'hg', 'feichtinger', 'and', 'kh', 'grochenig', 'coorbit', 'theory', 'has', 'been', 'a', 'powerful', 'tool', 'in', 'characterizing', 'banach', 'spaces', 'of', 'distributions', 'with', 'the', 'use', 'of', 'integrable', 'representations', 'of', 'locally', 'compact', 'groups', 'examples', 'are', 'a', 'wavelet', 'characterization', 'of', 'the', 'besov', 'spaces', 'and', 'a', 'characterization', 'of', 'some', 'bergman', 'spaces', 'by', 'the', 'discrete', 'series', 'representation', 'of', 'mathrmsl_2mathbbr', 'we', 'present', 'examples', 'of', 'banach', 'spaces', 'which', 'could', 'not', 'be', 'covered', 'by', 'the', 'previous', 'theory', 'and', 'we', 'also', 'provide', 'atomic', 'decompositions', 'for', 'an', 'example', 'related', 'to', 'a', 'nonintegrable', 'representation']] | [-0.0593083089466511, 0.12302526968227594, -0.12108448933404271, 0.12275907962864246, -0.07398686759026334, -0.038825227431768534, -0.028074958721304884, 0.3887644152313766, -0.27639522734513083, -0.18828340986798894, 0.15967366818251033, -0.21584338644556333, -0.20591990833198376, 0.24585112513476373, -0.1367923003335548, 0.018140078964873706, 0.0437341005539079, 0.028397840565579972, -0.12949139071573126, -0.28202929727198317, 0.4017176202885659, 0.01850061134278479, 0.1886382823035416, 0.015396243537600973, 0.06302029049568025, 0.009660441460696483, -0.09128534419480527, 0.006610258459055907, -0.19081018040173384, 0.20782546014847733, 0.3221312653928036, 0.10985672860498549, 0.3034154517543825, -0.3635375877786981, -0.24163420404777816, 0.13827738326301078, 0.10951474651067268, 0.022230160896352835, -0.06344447906433355, -0.34273281154951246, 0.04062245439479847, -0.17448730003273133, -0.12485389018173118, -0.17222113157668623, 0.03848111545574842, 0.030999340584944232, -0.2603546928217874, -0.0036328191765800746, 0.13513143780632036, 0.09880847868692282, -0.1252742606159853, -0.07178161050755494, 0.006020268642039287, 0.08109693786147798, -0.040642864725524835, 0.057432694551949895, 0.03984903674203866, -0.05319699234937751, -0.15615390002321783, 0.35060095235631605, -0.05786585277476634, -0.23549176785762949, 0.19914866389135027, -0.17001610613049994, -0.18016634004116797, 0.08367731399133359, 0.13850791390874598, 0.1573290828578543, -0.0790700124078753, 0.17690305260821512, -0.1147331817001842, 0.06011011272018757, 0.07267549015710702, 0.08097718133231496, 0.12632431648671627, 0.15757182257083974, 0.0627629199269283, 0.16075240577557262, 0.019739259350215, -0.04204308447234406, -0.33154491720592033, -0.1928132013832726, -0.16373865844193145, 0.04823117795193425, -0.06434345760758468, -0.1836565156849931, 0.40531397561570354, 0.057759922018532854, 0.1717543931364423, 0.06364129043972618, 0.1764926210894148, 0.06656524365408217, 0.018728417242960173, 0.027806546907908847, 0.16783956550482412, 0.24640437668087975, 0.053145645416830437, -0.07576398120035814, -0.033703333813475796, 0.2151563189794669] |
711.4121 | Kondo Resonance in the Presence of Spin-Polarized Currents | We propose an improved method of the equation of motion approach to study the
Kondo problem in spin-dependent non-equilibrium conditions. We find that the
previously introduced additional renormalization for non-equilibrium Kondo
effects is not required when we use a proper decoupling scheme. Our improved
formulation is then applied to address the spin-split Kondo peaks when a spin
current injects into a Kondo system.
| cond-mat.str-el cond-mat.mes-hall | we propose an improved method of the equation of motion approach to study the kondo problem in spindependent nonequilibrium conditions we find that the previously introduced additional renormalization for nonequilibrium kondo effects is not required when we use a proper decoupling scheme our improved formulation is then applied to address the spinsplit kondo peaks when a spin current injects into a kondo system | [['we', 'propose', 'an', 'improved', 'method', 'of', 'the', 'equation', 'of', 'motion', 'approach', 'to', 'study', 'the', 'kondo', 'problem', 'in', 'spindependent', 'nonequilibrium', 'conditions', 'we', 'find', 'that', 'the', 'previously', 'introduced', 'additional', 'renormalization', 'for', 'nonequilibrium', 'kondo', 'effects', 'is', 'not', 'required', 'when', 'we', 'use', 'a', 'proper', 'decoupling', 'scheme', 'our', 'improved', 'formulation', 'is', 'then', 'applied', 'to', 'address', 'the', 'spinsplit', 'kondo', 'peaks', 'when', 'a', 'spin', 'current', 'injects', 'into', 'a', 'kondo', 'system']] | [-0.13242624099883768, 0.1173940785767396, -0.15339274290535185, 0.101360784884217, -0.06163606236481832, -0.18143955565663794, 0.08230987894866201, 0.3470924826752808, -0.2894556633536778, -0.25871838879076736, -0.0089461785142443, -0.21912100645048277, -0.1522389743772764, 0.1797931915415185, -0.055039066747422254, 0.025107450820209962, 0.05550150570297052, -0.04271165283382057, -0.11232008939490669, -0.2718646107758913, 0.3084053939119691, -0.0286516097581221, 0.28689597984628074, 0.15717629043178427, 0.11904235714159551, 0.027628178844997096, 0.09370741033778777, 0.05312134177675323, -0.15128673797915412, 0.03756374922130139, 0.19183039671135327, -0.021175810076769382, 0.2842133186816696, -0.42564867714804316, -0.22642076234259303, 0.04251740396111494, 0.1638644442390946, 0.2251138645926461, -0.04396741939265104, -0.3088014203877676, 0.05040617672992604, -0.21630350991137445, -0.11123280726846248, -0.11395169764993683, -0.051086926507571385, -0.09948906477259857, -0.3299759152966241, 0.10534624753904248, 0.07062662983431466, 0.015978357458989772, -0.0842630026329841, -0.088345544883937, 0.0173185552564627, 0.06872268249225315, 0.022387709076856336, 0.024027699453105764, 0.13842571966557038, -0.10902948371533837, -0.11228591322691904, 0.3731628707388327, -0.07700055275511529, -0.18532480417735994, 0.14470375930180862, -0.10747830865402071, -0.14488978773015476, 0.1209377942991162, 0.1384298155409476, 0.10802468880715352, -0.20914784609201542, 0.08913349234572952, -0.03429420630905836, 0.13829447592179928, -0.0472289447835277, 0.04502954886161855, 0.18903656231446397, 0.19377854876663714, 0.13438674579891893, 0.17915732955323563, -0.1212578679597567, -0.07857091500172539, -0.24455693698236866, -0.1121642282971787, -0.20615435603059948, 0.0656148223097839, -0.013423116338099278, -0.14573947627038236, 0.4299875799520195, 0.2617250838213497, 0.17178700639614983, -0.0409836244385039, 0.3213897364783204, 0.2002413080476727, 0.040573904616019084, 0.05400506693810698, 0.1694646447542168, 0.13898677473503446, 0.0692792119280923, -0.37322145319795086, -0.0002482779146659942, 0.099767390328149] |
711.4122 | A simple and efficient model for mesoscale solidification simulation of
globular grain structures | A simple model for the solidification of globular grains in metallic alloys
is presented. Based on the Voronoi diagram of the nuclei centers, it accounts
for the curvature of the grains near triple junctions. The predictions of this
model are close to those of more refined approaches such as the phase field
method, but with a computation cost decreased by several orders of magnitude.
Therefore, this model is ideally suited for granular simulations linking the
behavior of individual grains to macroscopic properties of the material.
| cond-mat.mtrl-sci | a simple model for the solidification of globular grains in metallic alloys is presented based on the voronoi diagram of the nuclei centers it accounts for the curvature of the grains near triple junctions the predictions of this model are close to those of more refined approaches such as the phase field method but with a computation cost decreased by several orders of magnitude therefore this model is ideally suited for granular simulations linking the behavior of individual grains to macroscopic properties of the material | [['a', 'simple', 'model', 'for', 'the', 'solidification', 'of', 'globular', 'grains', 'in', 'metallic', 'alloys', 'is', 'presented', 'based', 'on', 'the', 'voronoi', 'diagram', 'of', 'the', 'nuclei', 'centers', 'it', 'accounts', 'for', 'the', 'curvature', 'of', 'the', 'grains', 'near', 'triple', 'junctions', 'the', 'predictions', 'of', 'this', 'model', 'are', 'close', 'to', 'those', 'of', 'more', 'refined', 'approaches', 'such', 'as', 'the', 'phase', 'field', 'method', 'but', 'with', 'a', 'computation', 'cost', 'decreased', 'by', 'several', 'orders', 'of', 'magnitude', 'therefore', 'this', 'model', 'is', 'ideally', 'suited', 'for', 'granular', 'simulations', 'linking', 'the', 'behavior', 'of', 'individual', 'grains', 'to', 'macroscopic', 'properties', 'of', 'the', 'material']] | [-0.0911116911276408, 0.1269446676268297, -0.08908096197992563, 0.04574308069970678, -0.0153608069234692, -0.10117300780599608, 0.07020957219030927, 0.3725897124804118, -0.24404526707880636, -0.32415620607926565, 0.04398520937709905, -0.29577233024379784, -0.12437277909039575, 0.20081894158056993, -0.015224347761763698, 0.049933122703548764, 0.020941206779988373, -0.007978363072170931, -0.06072438531212837, -0.23708272887503398, 0.28513674323638794, 0.06570524400483597, 0.26220974591286744, 0.015774334140587598, 0.040947535864132294, -0.03718136939603616, 0.030351135929060333, 0.06114218195571619, -0.1562906020649654, 0.11765052659765762, 0.20695417660343296, -0.0034073153948959182, 0.18415258772232954, -0.455414778695387, -0.23358449074713622, 0.07157655706738725, 0.1282499251941986, 0.10935076615937492, -0.0341253303890185, -0.2311895452111083, 0.08063244558870793, -0.13848268623080323, -0.17080059670021427, -0.05757438862860641, 0.03256714190219474, 0.04977273465243771, -0.23769926186650991, 0.08552954985267099, 0.062307371247066735, 0.05364581677542232, -0.0769601348814938, -0.12156312405131757, -0.02549231852240422, 0.09770047828034663, 0.030636438049430795, -0.0002718544839059605, 0.19477352170164094, -0.15373910950935063, -0.06632829656386201, 0.44823164159760753, 0.006590125159196118, -0.12145596400779836, 0.18673636960687445, -0.14715694700203397, -0.09449259140802657, 0.17596178939566015, 0.12819811736836154, 0.1551759995684466, -0.17149518698673039, 0.013719289163675378, -0.003245934734449667, 0.15221336439032765, -0.0012094036237720181, 0.017330529485993524, 0.25843584289883864, 0.26691004007178193, 0.011304642572341596, 0.14292728719917838, -0.1027864307137754, -0.11270765932824682, -0.24748354668126388, -0.1854033548713607, -0.1973408426541616, -0.011502576290684588, -0.16574911757317537, -0.21987217701971531, 0.3448626366279581, 0.14922285699491006, 0.1967031172449317, 0.0313292869092787, 0.3065184550250278, 0.05851329991128296, 0.1108757181202664, 0.037526831901906164, 0.24582372299559851, 0.14742348562542568, 0.1012754288940307, -0.21720159528503086, 0.11981474568464738, 0.06481919097988044] |
711.4123 | The Orbital Distribution of Satellite Galaxies | We measure the distribution of velocities for prograde and retrograde
satellite galaxies using a combination of published data and new observations
for 78 satellites of 63 extremely isolated disc galaxies (169 satellites
total). We find that the velocity distribution is non-Gaussian (>99.9%
confidence), but that it can be described as the sum of two Gaussians, one of
which is broad (sigma = 176 \pm 15 km/s), has a mean prograde velocity of 86
\pm 30 km/s, and contains ~55% of the satellites, while the other is slightly
retrograde with a mean velocity of -21 \pm 22 km/s and sigma = 74 \pm 18 km/s
and contains ~45% of the satellites. Both of these components are present over
all projected radii and found in the sample regardless of cuts on primary
inclination or satellite disc angle. The double-Gaussian shape, however,
becomes more pronounced among satellites of more luminous primaries. We remove
the potential dependence of satellite velocity on primary luminosity using the
Tully-Fisher relation and still find the velocity distribution to be asymmetric
and even more significantly non-Gaussian. The asymmetric velocity distribution
demonstrates a connection between the inner, visible disc galaxy and the
kinematics of the outer, dark halo. The reach of this connection, extending
even beyond the virial radii, suggests that it is imprinted by the satellite
infall pattern and large-scale effects, rather than by higher-level dynamical
processes in the formation of the central galaxy or late-term evolution of the
satellites.
| astro-ph | we measure the distribution of velocities for prograde and retrograde satellite galaxies using a combination of published data and new observations for 78 satellites of 63 extremely isolated disc galaxies 169 satellites total we find that the velocity distribution is nongaussian 999 confidence but that it can be described as the sum of two gaussians one of which is broad sigma 176 pm 15 kms has a mean prograde velocity of 86 pm 30 kms and contains 55 of the satellites while the other is slightly retrograde with a mean velocity of 21 pm 22 kms and sigma 74 pm 18 kms and contains 45 of the satellites both of these components are present over all projected radii and found in the sample regardless of cuts on primary inclination or satellite disc angle the doublegaussian shape however becomes more pronounced among satellites of more luminous primaries we remove the potential dependence of satellite velocity on primary luminosity using the tullyfisher relation and still find the velocity distribution to be asymmetric and even more significantly nongaussian the asymmetric velocity distribution demonstrates a connection between the inner visible disc galaxy and the kinematics of the outer dark halo the reach of this connection extending even beyond the virial radii suggests that it is imprinted by the satellite infall pattern and largescale effects rather than by higherlevel dynamical processes in the formation of the central galaxy or lateterm evolution of the satellites | [['we', 'measure', 'the', 'distribution', 'of', 'velocities', 'for', 'prograde', 'and', 'retrograde', 'satellite', 'galaxies', 'using', 'a', 'combination', 'of', 'published', 'data', 'and', 'new', 'observations', 'for', '78', 'satellites', 'of', '63', 'extremely', 'isolated', 'disc', 'galaxies', '169', 'satellites', 'total', 'we', 'find', 'that', 'the', 'velocity', 'distribution', 'is', 'nongaussian', '999', 'confidence', 'but', 'that', 'it', 'can', 'be', 'described', 'as', 'the', 'sum', 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711.4124 | Two universal extra dimensions and spinless photons at the ILC | We study the ILC phenomenology of (1,0) Kaluza-Klein (KK) modes along two
universal extra dimensions compactified on the chiral square. We compute
production cross sections of various (1,0) particles at the ILC with sqrt(s)=1
TeV, focusing on decays of KK-leptons and the KK partner of hypercharge gauge
boson down to the "spinless photon", which is the lightest KK particle. We
contrast this model to one universal extra dimension with KK-photon (spin-1)
and supersymmetry with neutralino (spin-1/2) or gravitino (spin-3/2) dark
matter. We also investigate the discovery potential for (1,1) KK bosons as
s-channel resonances.
| hep-ph | we study the ilc phenomenology of 10 kaluzaklein kk modes along two universal extra dimensions compactified on the chiral square we compute production cross sections of various 10 particles at the ilc with sqrts1 tev focusing on decays of kkleptons and the kk partner of hypercharge gauge boson down to the spinless photon which is the lightest kk particle we contrast this model to one universal extra dimension with kkphoton spin1 and supersymmetry with neutralino spin12 or gravitino spin32 dark matter we also investigate the discovery potential for 11 kk bosons as schannel resonances | [['we', 'study', 'the', 'ilc', 'phenomenology', 'of', '10', 'kaluzaklein', 'kk', 'modes', 'along', 'two', 'universal', 'extra', 'dimensions', 'compactified', 'on', 'the', 'chiral', 'square', 'we', 'compute', 'production', 'cross', 'sections', 'of', 'various', '10', 'particles', 'at', 'the', 'ilc', 'with', 'sqrts1', 'tev', 'focusing', 'on', 'decays', 'of', 'kkleptons', 'and', 'the', 'kk', 'partner', 'of', 'hypercharge', 'gauge', 'boson', 'down', 'to', 'the', 'spinless', 'photon', 'which', 'is', 'the', 'lightest', 'kk', 'particle', 'we', 'contrast', 'this', 'model', 'to', 'one', 'universal', 'extra', 'dimension', 'with', 'kkphoton', 'spin1', 'and', 'supersymmetry', 'with', 'neutralino', 'spin12', 'or', 'gravitino', 'spin32', 'dark', 'matter', 'we', 'also', 'investigate', 'the', 'discovery', 'potential', 'for', '11', 'kk', 'bosons', 'as', 'schannel', 'resonances']] | [-0.11803708173473307, 0.3391214195004803, -0.008803365013978265, 0.18190273973456722, -0.1045972247796252, -0.23388172486955497, -0.012679535713532265, 0.2823661100416583, -0.14637612278989337, -0.2919275482120785, -0.01477643776130169, -0.3439743687953562, 0.047714234218298596, 0.06473088914161905, 0.12924169304166386, 0.07000474745972439, 0.015823540702571182, 0.07192273167992368, -0.006972844296313347, -0.29420110579342285, 0.3018729455962262, 0.007397328562876011, 0.1576259803334053, 0.11700023790484572, 0.08833365603052873, 0.07527464202746373, 0.029231837943835343, -0.17836209172581105, -0.16358235309970506, 0.07788831890223825, 0.16012684651155104, -0.011069127150434763, 0.03916214631147128, -0.2968304863786622, -0.1067489214895412, 0.19513233887289275, 0.2496575083152609, 0.13063291222986548, -0.05143176711986753, -0.3319084648280702, 0.09022044894741253, -0.2522055773173479, -0.13549763209587756, -0.03958926608840479, -0.05807223057119235, -0.18633363891561378, -0.24852637855454962, 0.0885925154638863, -0.061910567962455545, 0.056608934651445994, -0.02208831588034221, -0.19718908453162046, -0.11635021540519604, -0.09992183924112667, 0.2092432510863217, -0.018363824683895455, 0.22435656850265853, -0.20005901916041732, -0.2254734762121943, 0.3806595189467152, -0.15084568726795508, -0.22375741877414762, 0.21264908404307478, -0.15937136467843455, -0.17075007145560564, 0.1350052744655454, 0.2293123314008513, 0.06830650553642277, -0.13083086165158633, 0.23640652285130853, -0.032345147417025995, 0.20237122727384632, 0.12313960693736976, 0.0965870364935712, 0.28752890773157175, 0.20782236709318896, 0.017286083363789194, 0.09849031314134915, -0.10568874852454409, -0.08154531579682643, -0.4564777077671061, -0.18308058122489998, -0.05050740622360497, 0.071400469253236, -0.07310190088793071, -0.0676291045197781, 0.37721330634853306, 0.06549632888128783, 0.23918691806574452, 0.015289761077741439, 0.2670375979555018, 0.06889759657156476, 0.08006487718406827, 0.02398792671118962, 0.315633584596613, 0.1795177868507961, 0.07869977417322709, -0.25582011823265, -0.21681423145724074, 0.09925289868198811] |
711.4125 | Chaotic Geodesics | When a shallow layer of inviscid fluid flows over a substrate, the fluid
particle trajectories are, to leading order in the layer thickness, geodesics
on the two-dimensional curved space of the substrate. Since the two-dimensional
geodesic equation is a two degree-of-freedom autonomous Hamiltonian system, it
can exhibit chaos, depending on the shape of the substrate. We find chaotic
behaviour for a range of substrates.
| nlin.CD | when a shallow layer of inviscid fluid flows over a substrate the fluid particle trajectories are to leading order in the layer thickness geodesics on the twodimensional curved space of the substrate since the twodimensional geodesic equation is a two degreeoffreedom autonomous hamiltonian system it can exhibit chaos depending on the shape of the substrate we find chaotic behaviour for a range of substrates | [['when', 'a', 'shallow', 'layer', 'of', 'inviscid', 'fluid', 'flows', 'over', 'a', 'substrate', 'the', 'fluid', 'particle', 'trajectories', 'are', 'to', 'leading', 'order', 'in', 'the', 'layer', 'thickness', 'geodesics', 'on', 'the', 'twodimensional', 'curved', 'space', 'of', 'the', 'substrate', 'since', 'the', 'twodimensional', 'geodesic', 'equation', 'is', 'a', 'two', 'degreeoffreedom', 'autonomous', 'hamiltonian', 'system', 'it', 'can', 'exhibit', 'chaos', 'depending', 'on', 'the', 'shape', 'of', 'the', 'substrate', 'we', 'find', 'chaotic', 'behaviour', 'for', 'a', 'range', 'of', 'substrates']] | [-0.20258173286856618, 0.15337047108914703, -0.11086143579450436, -0.03252565795810369, -0.03706386267731432, -0.14366358908591792, -0.029629739219672047, 0.36864819008042105, -0.29022995379636995, -0.26364107005065307, 0.06793471140372276, -0.28929695666010957, -0.15694856885966146, 0.21283844379104266, -0.014368172007380053, 0.10548993274278473, 0.051602795865619555, 0.007847397744626505, -0.04453525511780754, -0.19463795939736883, 0.33730558748357, 0.00310648078811937, 0.27456524873923627, 0.018819331169652287, 0.15098007515189238, -0.04492370861044037, 0.11167825376469409, 0.027163312748143653, -0.18443632137496024, 0.04174433756270446, 0.16879326268099248, -0.09702950203791261, 0.20171885057061445, -0.4784468963916879, -0.29409967263927683, 0.019413855123275425, 0.15841097698285012, 0.12389478377372143, -0.010616358242259594, -0.2709061026398558, 0.020852656387432944, -0.10707112876116298, -0.1323590187530499, -0.0157832610711921, 0.02876303317316342, 0.044096040932345204, -0.1991265829128679, 0.07309929974144325, 0.10769411321962252, 0.08002966573985759, -0.09434083929954795, -0.0071172086372826016, -0.11488429270684719, 0.09587852738923175, 0.050020529200992314, 0.0050069746175722685, 0.20946460299455794, -0.152261913921393, -0.022635399058344774, 0.4217930604936555, -0.06228985016969091, -0.29601556397392415, 0.2098408145684516, -0.14571993045683485, 0.015402988537971396, 0.1714375602787186, 0.23650528152938932, 0.1258547072275178, -0.12617539708776349, 0.11568539310974302, -0.056196306275523966, 0.1955730847257655, 0.09848878400953254, -0.04917391945491545, 0.21645174565492198, 0.23814862167273532, 0.11659367968968581, 0.1294931602315046, -0.1211702641521697, -0.15346013166708872, -0.25946874839428347, -0.21446401381399482, -0.17067734515148913, 0.05352818682149518, -0.144071106602496, -0.25106921457336284, 0.3973643064528005, 0.07131433558970457, 0.17563637580315117, 0.02910090732257231, 0.2232182306179311, 0.0833520027808845, 0.00683994684368372, 0.0842797327277367, 0.28135706728789955, 0.10717292384651955, 0.13297937057177478, -0.19831289990543155, 0.03209926269482821, 0.10623558876977768] |
711.4126 | Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures | The detection of primordial non-Gaussianity could provide a powerful means to
test various inflationary scenarios. Although scale-invariant non-Gaussianity
(often described by the $f_{NL}$ formalism) is currently best constrained by
the CMB, single-field models with changing sound speed can have strongly
scale-dependent non-Gaussianity. Such models could evade the CMB constraints
but still have important effects at scales responsible for the formation of
cosmological objects such as clusters and galaxies. We compute the effect of
scale-dependent primordial non-Gaussianity on cluster number counts as a
function of redshift, using a simple ansatz to model scale-dependent features.
We forecast constraints on these models achievable with forthcoming data sets.
We also examine consequences for the galaxy bispectrum. Our results are
relevant for the Dirac-Born-Infeld model of brane inflation, where the
scale-dependence of the non-Gaussianity is directly related to the geometry of
the extra dimensions.
| astro-ph | the detection of primordial nongaussianity could provide a powerful means to test various inflationary scenarios although scaleinvariant nongaussianity often described by the f_nl formalism is currently best constrained by the cmb singlefield models with changing sound speed can have strongly scaledependent nongaussianity such models could evade the cmb constraints but still have important effects at scales responsible for the formation of cosmological objects such as clusters and galaxies we compute the effect of scaledependent primordial nongaussianity on cluster number counts as a function of redshift using a simple ansatz to model scaledependent features we forecast constraints on these models achievable with forthcoming data sets we also examine consequences for the galaxy bispectrum our results are relevant for the diracborninfeld model of brane inflation where the scaledependence of the nongaussianity is directly related to the geometry of the extra dimensions | [['the', 'detection', 'of', 'primordial', 'nongaussianity', 'could', 'provide', 'a', 'powerful', 'means', 'to', 'test', 'various', 'inflationary', 'scenarios', 'although', 'scaleinvariant', 'nongaussianity', 'often', 'described', 'by', 'the', 'f_nl', 'formalism', 'is', 'currently', 'best', 'constrained', 'by', 'the', 'cmb', 'singlefield', 'models', 'with', 'changing', 'sound', 'speed', 'can', 'have', 'strongly', 'scaledependent', 'nongaussianity', 'such', 'models', 'could', 'evade', 'the', 'cmb', 'constraints', 'but', 'still', 'have', 'important', 'effects', 'at', 'scales', 'responsible', 'for', 'the', 'formation', 'of', 'cosmological', 'objects', 'such', 'as', 'clusters', 'and', 'galaxies', 'we', 'compute', 'the', 'effect', 'of', 'scaledependent', 'primordial', 'nongaussianity', 'on', 'cluster', 'number', 'counts', 'as', 'a', 'function', 'of', 'redshift', 'using', 'a', 'simple', 'ansatz', 'to', 'model', 'scaledependent', 'features', 'we', 'forecast', 'constraints', 'on', 'these', 'models', 'achievable', 'with', 'forthcoming', 'data', 'sets', 'we', 'also', 'examine', 'consequences', 'for', 'the', 'galaxy', 'bispectrum', 'our', 'results', 'are', 'relevant', 'for', 'the', 'diracborninfeld', 'model', 'of', 'brane', 'inflation', 'where', 'the', 'scaledependence', 'of', 'the', 'nongaussianity', 'is', 'directly', 'related', 'to', 'the', 'geometry', 'of', 'the', 'extra', 'dimensions']] | [-0.11372213043618391, 0.12353443518857198, -0.10362771165175297, 0.18617138927366933, -0.13254467581010176, -0.11551434933308431, -0.07528398949451906, 0.28101098685518655, -0.21245166663040252, -0.3475161242774493, 0.05319118745400564, -0.25098714374488207, -0.12713116475736067, 0.2255065612471495, 0.005335358155743895, 0.06345684086592372, 0.013545425824834395, -0.035661853181337265, 0.005942100469000376, -0.3300548297547394, 0.3523249783462731, 0.16378392577975345, 0.2283662782995392, 0.006816744908234842, 0.051598156196829066, -0.12246559607870072, -0.06620288909230342, 0.05252044228166878, -0.17533955024136566, 0.08159318147980936, 0.1950152819331477, 0.19680876123698818, 0.18739141767388948, -0.39191743653776834, -0.28237398182504253, 0.16571491186862156, 0.16120590974255164, 0.19158911983743845, -0.011115742529903223, -0.30932639012609026, 0.03826679239759771, -0.1851867745871649, -0.07413049553447276, -0.11883905188937624, -0.012053356807437732, -0.02095743249046529, -0.29269210150023156, 0.18293450367214031, -0.02662900097587769, -0.0028033400584253475, -0.012879697550691183, -0.08741402841950331, -0.0447421007607092, 0.03157678040803122, 0.07026412466326527, -0.0026532454891867348, 0.19691490038572776, -0.1969520351045477, -0.07995992005390631, 0.42179023892545014, -0.13950195058965856, -0.143935712762914, 0.11735376690534487, -0.15679320328527216, -0.23576641215761895, -0.00803822288691676, 0.17681153779916411, 0.07116844647115084, -0.12409635988003809, 0.13960311302573716, 0.05852472876942308, 0.19523581452064698, 0.07309844232626635, 0.062407952105302346, 0.3588233043392785, 0.12435241047420251, 0.08064730703267906, 0.10374064455244342, -0.10419426953902455, 0.0014145149306642067, -0.33843892452930163, 0.007763762445968581, -0.16550639993176133, 0.04444400221444399, -0.21128461143684912, -0.17536409515652993, 0.4279209914945548, 0.19057473550691342, 0.2027950184671007, 0.08895489781183734, 0.31794722825824784, 0.09491434138814296, 0.07477287593022953, 0.014355887189882694, 0.3028251892357743, 0.09336052593111778, 0.03656675403254281, -0.1923233866557586, 0.06359562814141885, -0.005131200625118967] |
711.4127 | An inequality for correlated measurable functions | A classical inequality, which is known for families of monotone functions, is
generalized to a larger class of families of measurable functions. Moreover we
characterize all the families of functions for which the equality holds. We
apply this result to a problem arising from probability theory.
| math.CA math.PR | a classical inequality which is known for families of monotone functions is generalized to a larger class of families of measurable functions moreover we characterize all the families of functions for which the equality holds we apply this result to a problem arising from probability theory | [['a', 'classical', 'inequality', 'which', 'is', 'known', 'for', 'families', 'of', 'monotone', 'functions', 'is', 'generalized', 'to', 'a', 'larger', 'class', 'of', 'families', 'of', 'measurable', 'functions', 'moreover', 'we', 'characterize', 'all', 'the', 'families', 'of', 'functions', 'for', 'which', 'the', 'equality', 'holds', 'we', 'apply', 'this', 'result', 'to', 'a', 'problem', 'arising', 'from', 'probability', 'theory']] | [-0.1072157668253488, 0.11120737566734137, -0.07347701020214868, 0.1390728284326463, -0.03679962490644792, -0.10965718269226668, 0.01918507036094999, 0.2778996274928036, -0.3357721652187731, -0.2366168513468912, 0.07881124624122016, -0.27010340506777814, -0.18578495927478955, 0.28981677653348964, -0.08520278713220487, 0.07526213700032752, -0.001352616869237112, 0.025640758321337078, -0.1436446933126401, -0.22785029552229072, 0.413027463167015, -0.09501798419818364, 0.2149928445401399, 0.07139689082522756, 0.10083622450980803, 0.03288351582444232, 0.028248564107343554, 0.04836203218640193, -0.19871505043651586, 0.17959457419625402, 0.2542019181672241, 0.19022505342676913, 0.27175524472477264, -0.2971654585360185, -0.21521884397320126, 0.2393217104532675, 0.048273311340776476, 0.11252268486271572, -0.004475824048985605, -0.19659197411459425, 0.10582064439886776, -0.16097069670365233, -0.2275140334892532, -0.044048770290354027, 0.010487170808989069, 0.07458228630054256, -0.3582174793776611, 0.09047782159936817, 0.12841434001355714, -0.015030079662961804, -0.06214471976272762, -0.10101962128006246, 0.02589611173607409, 0.09657593040079203, 0.01624911079061744, 0.027084237369506256, 0.02242258942240606, -0.06758175396522426, -0.12796767831415587, 0.3279283595190424, -0.025303295145378164, -0.24899852386189866, 0.1720446821950052, -0.15923595513500596, -0.20510929407875822, 0.05707481375935933, 0.1745688713601102, 0.20803855728034093, -0.1425831901496681, 0.11491670257047466, -0.14167128640996374, 0.11746610579607279, 0.09867960562848527, 0.07211389765143394, 0.10461194116784178, 0.04081608292282275, 0.14337525433739243, 0.24463937099537122, 0.019519245717674494, -0.12063908651876061, -0.34612942254170775, -0.1468713882824649, -0.15983417112147436, 0.09078767047891312, -0.06387068402103108, -0.22874856740236282, 0.4010862135125891, 0.060150661853739344, 0.15150536945008714, 0.17776415489472286, 0.19251162327987992, 0.1612970980046236, 0.08456215232043811, 0.01837659849906745, 0.1657981885921048, 0.1717464650232021, -0.022054028262019805, -0.08248510764425863, 0.05669760747696273, 0.1305912609981454] |
711.4128 | Mean field limit for bosons and infinite dimensional phase-space
analysis | This article proposes the construction of Wigner measures in the infinite
dimensional bosonic quantum field theory, with applications to the derivation
of the mean field dynamics. Once these asymptotic objects are well defined, it
is shown how they can be used to make connections between different kinds of
results or to prove new ones.
| math-ph math.AP math.MP | this article proposes the construction of wigner measures in the infinite dimensional bosonic quantum field theory with applications to the derivation of the mean field dynamics once these asymptotic objects are well defined it is shown how they can be used to make connections between different kinds of results or to prove new ones | [['this', 'article', 'proposes', 'the', 'construction', 'of', 'wigner', 'measures', 'in', 'the', 'infinite', 'dimensional', 'bosonic', 'quantum', 'field', 'theory', 'with', 'applications', 'to', 'the', 'derivation', 'of', 'the', 'mean', 'field', 'dynamics', 'once', 'these', 'asymptotic', 'objects', 'are', 'well', 'defined', 'it', 'is', 'shown', 'how', 'they', 'can', 'be', 'used', 'to', 'make', 'connections', 'between', 'different', 'kinds', 'of', 'results', 'or', 'to', 'prove', 'new', 'ones']] | [-0.10564985999587441, 0.1719200610855801, -0.13804993490878217, 0.08438404556363821, -0.061350107285694254, -0.12447547512473883, -0.022316402867781342, 0.36811489991291807, -0.28370434825343116, -0.29544883587018206, 0.07826136522365872, -0.24054109412072985, -0.22551645564898434, 0.19305305534335612, -0.09985142846212343, 0.04402793374740415, 0.013586817238117672, 0.08515476995078777, -0.08105280641164561, -0.30242082311047447, 0.31718420019131843, 0.014166475280136284, 0.2822150955218132, 0.0407040472274713, 0.08362744829651934, -0.005448962346202246, -0.041226389421219076, 0.05525976395303452, -0.15545617402703674, 0.1395208656149744, 0.2928397552696643, 0.1054312314329393, 0.2418865962643866, -0.4312958321706564, -0.20485029155248344, 0.1131251245668089, 0.1446377307400797, 0.1455915581814393, 0.010025632399548259, -0.3027537419736661, 0.07104533834865799, -0.15762861710283216, -0.17944688642186252, -0.12172679868699224, -0.020965377200843283, 0.04167121231417965, -0.21679341087238518, 0.03680569829453749, 0.0630963428260724, 0.04409074610858052, -0.029673382286327304, -0.08722112351959502, 0.02831896031016691, 0.14815179992001504, 0.08043337549100181, -0.006082075251335347, 0.08979830979498932, -0.11272032874276866, -0.1413716898403234, 0.35734969698306585, -0.04220818205633097, -0.2565978141156612, 0.2452668327562235, -0.13270172083543408, -0.10309850228777914, 0.04519799244762571, 0.14113600755593292, 0.1189921551073591, -0.15883105725946803, 0.0839288439946594, -0.011436022283440386, 0.1137003349830155, 0.059919388214540154, 0.08732134526319525, 0.22197420224202452, 0.0834697702968562, 0.052738437394577044, 0.16255210222960967, -0.02396749658510089, -0.1740880326661109, -0.32148752324455593, -0.17974319721677737, -0.15809425877200234, 0.09647534553099561, -0.047611741728528785, -0.20061915224640095, 0.363807059445039, 0.16878453081935058, 0.17382053984329104, 0.049243590587543115, 0.2504842787705086, 0.15599018559549693, 0.0677211465296784, 0.06009335292468744, 0.2081745013560134, 0.19799480804552635, 0.04872232972195855, -0.12787719554681745, -0.011823486165936899, 0.10780566126211649] |
711.4129 | The optical morphology of A3667 re-examined | The galaxy cluster A3667 was observed using the Two-degree Field (2dF)
multifibre spectroscopic system on the Anglo-Australian Telescope in a program
designed to examine the velocity structure in the region. Specifically, we
sought evidence from the optical data for the putative cluster merger believed
to be responsible for the observed radio and X-ray emission. We present 184 new
redshifts in the region, of which 143 correspond to member galaxies of A3667.
We find the cluster velocity distribution to be well modelled by a single
Gaussian in agreement with previous results. In addition, new redshift-selected
isodensity plots significantly reduce the prominence of the previously reported
subgroup to the north-west of the main cluster. Instead, we find the galaxy
distribution to be elongated and well mixed, with a high velocity dispersion
and no significant evidence for substructure. These results are consistent with
the axis of the proposed merger being close to the plane of the sky.
| astro-ph | the galaxy cluster a3667 was observed using the twodegree field 2df multifibre spectroscopic system on the angloaustralian telescope in a program designed to examine the velocity structure in the region specifically we sought evidence from the optical data for the putative cluster merger believed to be responsible for the observed radio and xray emission we present 184 new redshifts in the region of which 143 correspond to member galaxies of a3667 we find the cluster velocity distribution to be well modelled by a single gaussian in agreement with previous results in addition new redshiftselected isodensity plots significantly reduce the prominence of the previously reported subgroup to the northwest of the main cluster instead we find the galaxy distribution to be elongated and well mixed with a high velocity dispersion and no significant evidence for substructure these results are consistent with the axis of the proposed merger being close to the plane of the sky | [['the', 'galaxy', 'cluster', 'a3667', 'was', 'observed', 'using', 'the', 'twodegree', 'field', '2df', 'multifibre', 'spectroscopic', 'system', 'on', 'the', 'angloaustralian', 'telescope', 'in', 'a', 'program', 'designed', 'to', 'examine', 'the', 'velocity', 'structure', 'in', 'the', 'region', 'specifically', 'we', 'sought', 'evidence', 'from', 'the', 'optical', 'data', 'for', 'the', 'putative', 'cluster', 'merger', 'believed', 'to', 'be', 'responsible', 'for', 'the', 'observed', 'radio', 'and', 'xray', 'emission', 'we', 'present', '184', 'new', 'redshifts', 'in', 'the', 'region', 'of', 'which', '143', 'correspond', 'to', 'member', 'galaxies', 'of', 'a3667', 'we', 'find', 'the', 'cluster', 'velocity', 'distribution', 'to', 'be', 'well', 'modelled', 'by', 'a', 'single', 'gaussian', 'in', 'agreement', 'with', 'previous', 'results', 'in', 'addition', 'new', 'redshiftselected', 'isodensity', 'plots', 'significantly', 'reduce', 'the', 'prominence', 'of', 'the', 'previously', 'reported', 'subgroup', 'to', 'the', 'northwest', 'of', 'the', 'main', 'cluster', 'instead', 'we', 'find', 'the', 'galaxy', 'distribution', 'to', 'be', 'elongated', 'and', 'well', 'mixed', 'with', 'a', 'high', 'velocity', 'dispersion', 'and', 'no', 'significant', 'evidence', 'for', 'substructure', 'these', 'results', 'are', 'consistent', 'with', 'the', 'axis', 'of', 'the', 'proposed', 'merger', 'being', 'close', 'to', 'the', 'plane', 'of', 'the', 'sky']] | [-0.07208313747738525, 0.049952274635917955, -0.09016038699970617, 0.07145317290666174, -0.10357977428727529, -0.037944934359606504, 0.028869435413401912, 0.4291560366302245, -0.1778520023776823, -0.3472757801026493, 0.06743013865976631, -0.2808158723335084, -0.07005110771437599, 0.21957200628330376, 0.004229050023441941, 0.01557258487521828, 0.05883647398055567, -0.022371395937070347, -0.02987874588360647, -0.2430230029359726, 0.2958708374077672, 0.09207034888888964, 0.24863257385524257, -0.05153105191451002, 0.07352950340272955, -0.040500612646740465, -0.08189310246130585, 0.008318048874641975, -0.1451458948839746, 0.06768127557120056, 0.21464609419292008, 0.09638780188843511, 0.1943886437795016, -0.3218124438645681, -0.17345432108007341, 0.06848004323357788, 0.1959518577824891, 0.07804818951158918, -0.07379406489743306, -0.3291282897161973, 0.09109365456894815, -0.17605796668294124, -0.20343006227177557, 0.05614310335488869, -0.0033467861229565916, 0.04190046406750168, -0.19546614208919383, 0.14673256061293863, -0.021893483752161023, 0.07904621866205103, -0.1216842071448514, -0.12094001349155464, -0.06395986040240734, 0.09478128231856246, -0.004170913571286221, 0.10483859628801803, 0.12600218554861942, -0.1139489855895472, -0.05368930171017063, 0.38513498649291406, -0.06451566661511511, -0.028350539106343473, 0.19419091635129668, -0.23437118232129261, -0.19439209411646446, 0.1444905055989209, 0.16800571843534223, 0.05365843662097083, -0.14127176302196398, -0.009689450249992093, -0.0551909852573382, 0.2053289991968263, 0.02118563322144766, 0.012388924371620093, 0.27957644951287897, 0.088780607242748, 0.028762552355394953, 0.15778750199113983, -0.24801745242590398, -0.04501072121421238, -0.24625164530445615, -0.11806610417280153, -0.13903565751539856, -0.003236984267117238, -0.0910357189718702, -0.13199597517143355, 0.35839902012391234, 0.11430164950887685, 0.23086744126887968, 0.047620252328894594, 0.2633889013320788, 0.08204172347527143, 0.14624879003635474, 0.10884974046622391, 0.3186367829632643, 0.1683988038816356, 0.06383414239646842, -0.22991356824966172, 0.047044367326858946, -0.038789647879296694] |
711.413 | Swift BAT Survey of AGN | We present the results of the analysis of the first 9 months of data of the
Swift BAT survey of AGN in the 14-195 keV band. Using archival X-ray data or
follow-up Swift XRT observations, we have identified 129 (103 AGN) of 130
objects detected at |b|> 15 deg and with significance >4.8 sigma. One source
remains unidentified. These same X-ray data have allowed measurement of the
X-ray properties of the objects. We fit a power law to the log N - log S
distribution, and find the slope to be 1.42+/-0.14. Characterizing the
differential luminosity function data as a broken power law, we find a break
luminosity log L_*(erg/s) = 43.85+/-0.26, a low luminosity power law slope
a=0.84^{+0.16}_{-0.22}, and a high luminosity power law slope
b=2.55^{+0.43}_{-0.30}, similar to the values that have been reported based on
INTEGRAL data. We obtain a mean photon index 1.98 in the 14-195 keV band, with
an rms spread of 0.27. Integration of our luminosity function gives a local
volume density of AGN above 10^{41} erg/s of 2.4x10^{-3}/Mpc^3, which is about
10% of the total luminous local galaxy density above M_*=-19.75. We have
obtained X-ray spectra from the literature and from Swift XRT follow-up
observations. These show that the distribution of log n_H is essentially flat
from n_H=10^{20}/cm^{2} to 10^{24}/cm^2, with 50% of the objects having column
densities of less than 10^{22}/cm^{2}. BAT Seyfert galaxies have a median
redshift of 0.03, a maximum log luminosity of 45.1, and approximately half have
log n_H > 22.
| astro-ph | we present the results of the analysis of the first 9 months of data of the swift bat survey of agn in the 14195 kev band using archival xray data or followup swift xrt observations we have identified 129 103 agn of 130 objects detected at b 15 deg and with significance 48 sigma one source remains unidentified these same xray data have allowed measurement of the xray properties of the objects we fit a power law to the log n log s distribution and find the slope to be 142014 characterizing the differential luminosity function data as a broken power law we find a break luminosity log l_ergs 4385026 a low luminosity power law slope a084016_022 and a high luminosity power law slope b255043_030 similar to the values that have been reported based on integral data we obtain a mean photon index 198 in the 14195 kev band with an rms spread of 027 integration of our luminosity function gives a local volume density of agn above 1041 ergs of 24x103mpc3 which is about 10 of the total luminous local galaxy density above m_1975 we have obtained xray spectra from the literature and from swift xrt followup observations these show that the distribution of log n_h is essentially flat from n_h1020cm2 to 1024cm2 with 50 of the objects having column densities of less than 1022cm2 bat seyfert galaxies have a median redshift of 003 a maximum log luminosity of 451 and approximately half have log n_h 22 | [['we', 'present', 'the', 'results', 'of', 'the', 'analysis', 'of', 'the', 'first', '9', 'months', 'of', 'data', 'of', 'the', 'swift', 'bat', 'survey', 'of', 'agn', 'in', 'the', '14195', 'kev', 'band', 'using', 'archival', 'xray', 'data', 'or', 'followup', 'swift', 'xrt', 'observations', 'we', 'have', 'identified', '129', '103', 'agn', 'of', '130', 'objects', 'detected', 'at', 'b', '15', 'deg', 'and', 'with', 'significance', '48', 'sigma', 'one', 'source', 'remains', 'unidentified', 'these', 'same', 'xray', 'data', 'have', 'allowed', 'measurement', 'of', 'the', 'xray', 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711.4131 | Optical Counterpart of the Ultraluminous X-ray Source IC 342 X-1 | We present Chandra and HST observations of the ultraluminous X-ray source
(ULX) IC 342 X-1. The Chandra and HST images are aligned using two X-ray
emitting foreground stars. The astrometry corrected position for X-1 is R.A. =
03h45m55.61s, Decl. = +68d04m55.3s (J2000) with an error circle of 0.2". One
extended optical source is found in the error circle, which could be the
optical counterpart of X-1. The source shows an extended feature in HST images
at long wavelengths, which is likely to be a superposition of two point
sources, although it is possible that the dimmer one could be a jet. Both
sources are much redder than typical for ULX optical counterparts. The brighter
one has an absolute magnitude M_V = -5.2 +/- 0.2 and (B-V)_0 = 0.66 +/- 0.13
and the dimmer star is not detected in B and has (B-V)_0 > 2.1. Their colors
are consistent with an F8 to G0 Ib supergiant or a carbon star, respectively.
However, it is likely that part or most of the optical emission may be due to
X-rays reprocessed by the companion star or the accretion disk. The stellar
neighborhood of IC 342 X-1 lacks O stars and has a minimum age of ~10 Myr. This
excludes the possibility that the surrounding nebula is powered by an energetic
explosion of a single massive star that formed a black hole. We suggest that
the nebula is most likely powered by an outflow from the X-ray source.
| astro-ph | we present chandra and hst observations of the ultraluminous xray source ulx ic 342 x1 the chandra and hst images are aligned using two xray emitting foreground stars the astrometry corrected position for x1 is ra 03h45m5561s decl 68d04m553s j2000 with an error circle of 02 one extended optical source is found in the error circle which could be the optical counterpart of x1 the source shows an extended feature in hst images at long wavelengths which is likely to be a superposition of two point sources although it is possible that the dimmer one could be a jet both sources are much redder than typical for ulx optical counterparts the brighter one has an absolute magnitude m_v 52 02 and bv_0 066 013 and the dimmer star is not detected in b and has bv_0 21 their colors are consistent with an f8 to g0 ib supergiant or a carbon star respectively however it is likely that part or most of the optical emission may be due to xrays reprocessed by the companion star or the accretion disk the stellar neighborhood of ic 342 x1 lacks o stars and has a minimum age of 10 myr this excludes the possibility that the surrounding nebula is powered by an energetic explosion of a single massive star that formed a black hole we suggest that the nebula is most likely powered by an outflow from the xray source | [['we', 'present', 'chandra', 'and', 'hst', 'observations', 'of', 'the', 'ultraluminous', 'xray', 'source', 'ulx', 'ic', '342', 'x1', 'the', 'chandra', 'and', 'hst', 'images', 'are', 'aligned', 'using', 'two', 'xray', 'emitting', 'foreground', 'stars', 'the', 'astrometry', 'corrected', 'position', 'for', 'x1', 'is', 'ra', '03h45m5561s', 'decl', '68d04m553s', 'j2000', 'with', 'an', 'error', 'circle', 'of', '02', 'one', 'extended', 'optical', 'source', 'is', 'found', 'in', 'the', 'error', 'circle', 'which', 'could', 'be', 'the', 'optical', 'counterpart', 'of', 'x1', 'the', 'source', 'shows', 'an', 'extended', 'feature', 'in', 'hst', 'images', 'at', 'long', 'wavelengths', 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'excludes', 'the', 'possibility', 'that', 'the', 'surrounding', 'nebula', 'is', 'powered', 'by', 'an', 'energetic', 'explosion', 'of', 'a', 'single', 'massive', 'star', 'that', 'formed', 'a', 'black', 'hole', 'we', 'suggest', 'that', 'the', 'nebula', 'is', 'most', 'likely', 'powered', 'by', 'an', 'outflow', 'from', 'the', 'xray', 'source']] | [-0.0650353771804069, 0.08887119607422798, -0.0550789657682973, 0.09775204170406103, -0.12904465733135634, -0.12605730974452292, 0.046710227707282025, 0.4993068632322978, -0.1641397863695834, -0.3093803789466619, 0.11967211301943803, -0.35805835486092463, 0.009620151028750424, 0.22449513461856924, -0.0939126235650892, -0.09176735359917772, 0.07827783833589762, -0.0314633837009364, -0.03686108198933343, -0.24780641809660703, 0.25280512880058364, 0.06921541282827867, 0.1209088748578537, -0.05731594152550431, 0.0503075215757448, -0.10552465699642817, -0.020299269684015752, -0.06403781892731786, -0.0570172679231891, 0.05925841710153729, 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711.4132 | A Short Note on some open problems in the geometry of operator ideals | We list and discuss the background of some open problems, regarding the
principle of local reflexivity for maximal Banach ideals.
| math.FA math.RA | we list and discuss the background of some open problems regarding the principle of local reflexivity for maximal banach ideals | [['we', 'list', 'and', 'discuss', 'the', 'background', 'of', 'some', 'open', 'problems', 'regarding', 'the', 'principle', 'of', 'local', 'reflexivity', 'for', 'maximal', 'banach', 'ideals']] | [-0.15139347030781208, 0.03446937573316973, 0.02323909495025873, 0.16053940574638545, -0.10306392554193736, -0.09868957893922925, 0.05872043096460402, 0.34864983800798655, -0.40722460970282554, -0.1933528108522296, 0.22468355733435602, -0.2744861870538443, -0.056831795070320365, 0.21618213038891554, -0.17940023988485337, 0.06273199273273349, 0.060144512448459864, 0.07562331734225154, -0.10402210834436118, -0.3260780796408653, 0.4624115593731403, 0.020274697802960873, 0.17454958744347096, 0.16776037365198135, 0.12710090805776417, 0.03989254613406956, -0.12116983055602759, 0.05435799283441156, -0.21316413804888726, 0.18514706771820783, 0.2865859425626695, 0.2280692184343934, 0.30042834058403967, -0.39110715277493, -0.12844224924920128, 0.20702913503628223, 0.04031255883164704, 0.05039240811020136, -0.04138765718089417, -0.29003561586141585, 0.09196964763104916, -0.10304506570100784, -0.22521400060504676, -0.0915375073789619, 0.023604953847825526, 0.0469539653044194, -0.2471902471035719, 0.03308732956647873, 0.17366097467020153, 0.15439577959477901, -0.143269039131701, -0.12974110506474973, 0.02238212861120701, 0.03295460089575499, 0.007447438035160303, -0.037553421081975104, 0.0878790655406192, -0.12907862514257432, -0.20697649344801902, 0.3508155854418874, 0.05122903622686863, -0.16534123244928195, 0.1379703859332949, -0.15178649937734007, -0.20883809253573418, -0.016981574636884034, 0.07660266803577542, 0.051794521510601044, -0.11606280920095742, 0.20729778576351238, -0.15923637263476847, 0.02143084334093146, 0.10604230305179954, 0.19212652686983347, 0.17596338810399176, 0.08622615234926342, 0.17264191766735165, 0.16149674989283086, 0.06251456839963794, -0.02267585094086826, -0.4173826765269041, -0.1458763492293656, -0.04911633008159697, 0.06342975767329335, -0.1861205252345826, -0.17287317682057618, 0.4142505057156086, 0.1681331843137741, 0.11710241870023311, 0.047143101086840035, 0.12079902398400008, -0.0007803626358509064, -0.04699775968911126, 0.08461477612145245, 0.15970330609270605, 0.2551911181770265, 0.012262416537851095, -0.19947118628770114, -0.004809340974316001, 0.20278874672949315] |
711.4133 | BRST Operator for Quantum Lie Algebras: Relation to Bar Complex | Quantum Lie algebras (an important class of quadratic algebras arising in the
Woronowicz calculus on quantum groups) are generalizations of Lie (super)
algebras. Many notions from the theory of Lie (super)algebras admit ``quantum''
generalizations. In particular, there is a BRST operator Q (Q^2=0) which
generates the differential in the Woronowicz theory and gives information about
(co)homologies of quantum Lie algebras. In our previous papers a recurrence
relation for the operator Q for quantum Lie algebras was given and solved. Here
we consider the bar complex for q-Lie algebras and its subcomplex of
q-antisymmetric chains. We establish a chain map (which is an isomorphism) of
the standard complex for a q-Lie algebra to the subcomplex of the antisymmetric
chains. The construction requires a set of nontrivial identities in the group
algebra of the braid group. We discuss also a generalization of the standard
complex to the case when a q-Lie algebra is equipped with a grading operator.
| math.QA math-ph math.MP | quantum lie algebras an important class of quadratic algebras arising in the woronowicz calculus on quantum groups are generalizations of lie super algebras many notions from the theory of lie superalgebras admit quantum generalizations in particular there is a brst operator q q20 which generates the differential in the woronowicz theory and gives information about cohomologies of quantum lie algebras in our previous papers a recurrence relation for the operator q for quantum lie algebras was given and solved here we consider the bar complex for qlie algebras and its subcomplex of qantisymmetric chains we establish a chain map which is an isomorphism of the standard complex for a qlie algebra to the subcomplex of the antisymmetric chains the construction requires a set of nontrivial identities in the group algebra of the braid group we discuss also a generalization of the standard complex to the case when a qlie algebra is equipped with a grading operator | [['quantum', 'lie', 'algebras', 'an', 'important', 'class', 'of', 'quadratic', 'algebras', 'arising', 'in', 'the', 'woronowicz', 'calculus', 'on', 'quantum', 'groups', 'are', 'generalizations', 'of', 'lie', 'super', 'algebras', 'many', 'notions', 'from', 'the', 'theory', 'of', 'lie', 'superalgebras', 'admit', 'quantum', 'generalizations', 'in', 'particular', 'there', 'is', 'a', 'brst', 'operator', 'q', 'q20', 'which', 'generates', 'the', 'differential', 'in', 'the', 'woronowicz', 'theory', 'and', 'gives', 'information', 'about', 'cohomologies', 'of', 'quantum', 'lie', 'algebras', 'in', 'our', 'previous', 'papers', 'a', 'recurrence', 'relation', 'for', 'the', 'operator', 'q', 'for', 'quantum', 'lie', 'algebras', 'was', 'given', 'and', 'solved', 'here', 'we', 'consider', 'the', 'bar', 'complex', 'for', 'qlie', 'algebras', 'and', 'its', 'subcomplex', 'of', 'qantisymmetric', 'chains', 'we', 'establish', 'a', 'chain', 'map', 'which', 'is', 'an', 'isomorphism', 'of', 'the', 'standard', 'complex', 'for', 'a', 'qlie', 'algebra', 'to', 'the', 'subcomplex', 'of', 'the', 'antisymmetric', 'chains', 'the', 'construction', 'requires', 'a', 'set', 'of', 'nontrivial', 'identities', 'in', 'the', 'group', 'algebra', 'of', 'the', 'braid', 'group', 'we', 'discuss', 'also', 'a', 'generalization', 'of', 'the', 'standard', 'complex', 'to', 'the', 'case', 'when', 'a', 'qlie', 'algebra', 'is', 'equipped', 'with', 'a', 'grading', 'operator']] | [-0.18473425445056732, 0.07779295405602052, -0.06778888666341382, 0.07746267902679861, -0.14475633137288593, -0.14869055507944956, -0.03623118832587235, 0.32655943775729784, -0.35673026062788504, -0.19842449003049442, 0.12139626089859033, -0.26168560709563954, -0.17786666046107008, 0.19458088626664494, -0.1380530254209354, -0.049538240954655435, 0.051469079741547186, 0.16004344540978632, -0.13885835476760422, -0.22496471222520115, 0.414737896945688, -0.006348345636750662, 0.19340416199768024, -0.005875798188630612, 0.14059621324131807, 0.029421879891907015, -0.0009654589883622624, -0.03980036859190272, -0.13583358761764341, 0.13419692959155768, 0.32213534576998604, 0.04920155488014702, 0.191156670023291, -0.36847892413817107, -0.0945044761626876, 0.14934216944440717, 0.13947368527672463, 0.06598553356203822, -0.041661931007289356, -0.28868865954930023, 0.04881274255458266, -0.209834890356738, -0.12332365964989989, -0.05595137084263467, 0.060376353976466964, -0.0587725828251531, -0.23397966317021318, 0.03838827795210114, 0.09253212778318314, 0.14244275591833772, -0.07054746547383406, -0.08769304410163914, -0.03902270758464452, 0.07619439176257489, -0.09697963770463942, 0.02186210744548589, 0.12853976329788566, -0.10757427832952911, -0.22693507902684712, 0.38764210364390767, 0.024747325646721066, -0.24187327012900384, 0.12082049558540026, -0.17241518323820446, -0.22452972240205255, 0.04872669739753849, 0.043330849635024225, 0.12526612159525674, -0.05785029404242748, 0.2429635753423246, -0.10358086800382983, 0.023114554809346315, 0.06267361314967275, 0.007548518394750934, 0.13603627325369858, 0.10084932814202001, 0.06312422841269102, 0.12898008477904144, 0.08264837939021809, -0.10960207441070628, -0.3547319564848177, -0.22330195740514977, -0.06925384520042327, 0.13140634505093218, -0.12675644951589, -0.18975373996391653, 0.4078242247984294, 0.10926660762015085, 0.1558947063862316, 0.11287701018905688, 0.1697708809568036, 0.1301380585369301, 0.15855551048091823, 0.01858207558492018, 0.11186590541694914, 0.3282734560269502, 0.014767892968149916, -0.14876159184627355, -0.08660136334177466, 0.19452321514367096] |
711.4134 | A study of the breakdown of the quasi-static approximation at high
densities and its effect on the helium-like K ALPHA complex of nickel, iron,
and calcium | The General Spectral Modeling (GSM) code employs the quasi-static
approximation, a standard, low-density methodology that assumes the ionization
balance is separable from a determination of the excited-state populations that
give rise to the spectra. GSM also allows for some states to be treated only as
contributions to effective rates. While these two approximations are known to
be valid at low densities, this work investigates using such methods to model
high-density, non-LTE emission spectra and determines at what point the
approximations break down by comparing to spectra produced by the LANL code
ATOMIC which makes no such approximations. As both approximations are used by
other astrophysical and low-density modeling codes, the results should be of
broad interest. He-like K$\alpha$ emission spectra are presented for Ni, Fe,
and Ca, in order to gauge the effect of both approximations employed in GSM.
This work confirms that at and above the temperature of maximum abundance of
the He-like ionization stage, the range of validity for both approximations is
sufficient for modeling the low- and moderate-density regimes one typically
finds in astrophysical and magnetically confined fusion plasmas. However, a
breakdown does occur for high densities; we obtain quantitative limits that are
significantly higher than previous works. This work demonstrates that, while
the range of validity for both approximations is sufficient to predict the
density-dependent quenching of the z line, the approximations break down at
higher densities. Thus these approximations should be used with greater care
when modeling high-density plasmas such as those found in inertial confinement
fusion and electromagnetic pinch devices.
| physics.atom-ph astro-ph | the general spectral modeling gsm code employs the quasistatic approximation a standard lowdensity methodology that assumes the ionization balance is separable from a determination of the excitedstate populations that give rise to the spectra gsm also allows for some states to be treated only as contributions to effective rates while these two approximations are known to be valid at low densities this work investigates using such methods to model highdensity nonlte emission spectra and determines at what point the approximations break down by comparing to spectra produced by the lanl code atomic which makes no such approximations as both approximations are used by other astrophysical and lowdensity modeling codes the results should be of broad interest helike kalpha emission spectra are presented for ni fe and ca in order to gauge the effect of both approximations employed in gsm this work confirms that at and above the temperature of maximum abundance of the helike ionization stage the range of validity for both approximations is sufficient for modeling the low and moderatedensity regimes one typically finds in astrophysical and magnetically confined fusion plasmas however a breakdown does occur for high densities we obtain quantitative limits that are significantly higher than previous works this work demonstrates that while the range of validity for both approximations is sufficient to predict the densitydependent quenching of the z line the approximations break down at higher densities thus these approximations should be used with greater care when modeling highdensity plasmas such as those found in inertial confinement fusion and electromagnetic pinch devices | [['the', 'general', 'spectral', 'modeling', 'gsm', 'code', 'employs', 'the', 'quasistatic', 'approximation', 'a', 'standard', 'lowdensity', 'methodology', 'that', 'assumes', 'the', 'ionization', 'balance', 'is', 'separable', 'from', 'a', 'determination', 'of', 'the', 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711.4135 | External Periodic Driving of Large Systems of Globally Coupled Phase
Oscillators | Large systems of coupled oscillators subjected to a periodic external drive
occur in many situations in physics and biology. Here the simple, paradigmatic
case of equal-strength, all-to-all sine-coupling of phase oscillators subject
to a sinusoidal external drive is considered. The stationary states and their
stability are determined. Using the stability information and numerical
experiments, parameter space phase diagrams showing when different types of
system behavior apply are constructed, and the bifurcations marking transitions
between different types of behavior are delineated. The analysis is supported
by results of direct numerical simulation of an ensemble of oscillators.
| nlin.CD | large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology here the simple paradigmatic case of equalstrength alltoall sinecoupling of phase oscillators subject to a sinusoidal external drive is considered the stationary states and their stability are determined using the stability information and numerical experiments parameter space phase diagrams showing when different types of system behavior apply are constructed and the bifurcations marking transitions between different types of behavior are delineated the analysis is supported by results of direct numerical simulation of an ensemble of oscillators | [['large', 'systems', 'of', 'coupled', 'oscillators', 'subjected', 'to', 'a', 'periodic', 'external', 'drive', 'occur', 'in', 'many', 'situations', 'in', 'physics', 'and', 'biology', 'here', 'the', 'simple', 'paradigmatic', 'case', 'of', 'equalstrength', 'alltoall', 'sinecoupling', 'of', 'phase', 'oscillators', 'subject', 'to', 'a', 'sinusoidal', 'external', 'drive', 'is', 'considered', 'the', 'stationary', 'states', 'and', 'their', 'stability', 'are', 'determined', 'using', 'the', 'stability', 'information', 'and', 'numerical', 'experiments', 'parameter', 'space', 'phase', 'diagrams', 'showing', 'when', 'different', 'types', 'of', 'system', 'behavior', 'apply', 'are', 'constructed', 'and', 'the', 'bifurcations', 'marking', 'transitions', 'between', 'different', 'types', 'of', 'behavior', 'are', 'delineated', 'the', 'analysis', 'is', 'supported', 'by', 'results', 'of', 'direct', 'numerical', 'simulation', 'of', 'an', 'ensemble', 'of', 'oscillators']] | [-0.21072538632978785, 0.1903372378538405, -0.03875765420417202, 0.021480276155226092, 0.003197876206460468, -0.15546946181975146, 0.049400542161744485, 0.35320908842766857, -0.24202194126283236, -0.2869569016075594, 0.10262141376486088, -0.26883065262611244, -0.2064691843326263, 0.24459361257229714, 0.012100542474419195, 0.044955583180281075, 0.06570687189579327, -0.00329658782178972, -0.04358692975043557, -0.1901650768655174, 0.3080881001784446, -0.018332610050454102, 0.28693692665051745, -0.04222922325827815, 0.056275502719143604, -0.05073478873670498, -0.0063718938221659594, 0.04077669598274874, -0.13967725323968905, 0.010739161169151478, 0.2296169679587152, 0.052421706723683376, 0.2515683818925568, -0.44738805365372214, -0.2420424713277595, 0.12053190312655444, 0.13950919491199262, 0.12165069136956826, -0.04027175429732876, -0.3103818289831558, 0.021343752974644303, -0.147476749742364, -0.1616010311842361, -0.1289328882431096, 0.015029706615716853, 0.1073516735242323, -0.2711478339983745, 0.08236694350551338, 0.042857501759847746, 0.1302927167803802, -0.06865121050182968, -0.033533693542654446, -0.050874054174315425, 0.19159151431441832, 0.014935724392652195, -0.047851404889754236, 0.14650281070870289, -0.10261796053716953, -0.12911420776706903, 0.36769670654246783, -0.025256716963300046, -0.2187417029372808, 0.26429825642720817, -0.09093074758656006, -0.10782323482426558, 0.12066348148708014, 0.1621971122742175, 0.08561944114936, -0.13578440423852373, 0.03917728169038495, 0.04369212501741787, 0.15991141324109853, 0.06590408949488576, 0.015270959585905075, 0.1962993493739595, 0.19125336061598378, 0.01207094442314825, 0.20833193065172576, -0.007935379891894124, -0.2104181925706724, -0.2814558784655751, -0.05168906647830884, -0.16536960463495332, 0.004117408570427289, -0.06655034897979002, -0.1825873767461707, 0.40405846470867857, 0.1184402903432938, 0.17450238551115965, -0.048844861780649965, 0.26262181648548616, 0.12908225367464957, -0.029765523853711784, -0.008880495985454701, 0.2629407449759186, 0.16722150395644156, 0.09075701722201515, -0.23961073725714666, 0.00757579417265159, 0.013764602726602808] |
711.4136 | Monte Carlo simulations of muCF processes kinetics in deuterium gas | The muon-catalyzed-fusion processes in D$_2$ gas for various temperatures and
densities have been studied by means of Monte Carlo simulations. In particular,
the role of the resonant and nonresonant $dd\mu$ formation and differences
between the neutron time spectra from the ortho-D$_2$ and para-D$_2$ targets at
low temperatures have been investigated.
| physics.atom-ph | the muoncatalyzedfusion processes in d_2 gas for various temperatures and densities have been studied by means of monte carlo simulations in particular the role of the resonant and nonresonant ddmu formation and differences between the neutron time spectra from the orthod_2 and parad_2 targets at low temperatures have been investigated | [['the', 'muoncatalyzedfusion', 'processes', 'in', 'd_2', 'gas', 'for', 'various', 'temperatures', 'and', 'densities', 'have', 'been', 'studied', 'by', 'means', 'of', 'monte', 'carlo', 'simulations', 'in', 'particular', 'the', 'role', 'of', 'the', 'resonant', 'and', 'nonresonant', 'ddmu', 'formation', 'and', 'differences', 'between', 'the', 'neutron', 'time', 'spectra', 'from', 'the', 'orthod_2', 'and', 'parad_2', 'targets', 'at', 'low', 'temperatures', 'have', 'been', 'investigated']] | [-0.034757645984427654, 0.18586626845838813, -0.07781111001774359, 0.09367726110698034, 0.09854999304419228, -0.04124219141279658, 0.019474414594393846, 0.45444982840369147, -0.181949055287987, -0.3376892020460218, 0.06803416137214906, -0.29840553699371714, -0.016760153075059254, 0.2179389723072139, 0.12558444377888614, 0.0655228696220244, 0.005778386471016954, -0.050084192841798846, -0.07244443889552106, -0.17601017923880136, 0.30823475832585245, 0.12157761862423892, 0.23820427471461394, 0.10300858497309189, 0.07976600706024328, -0.03670967206320105, -0.015683101567750175, -0.02564632655897488, -0.20208518086292315, -0.011831769874940315, 0.26349757515708916, 0.0037222102109808475, 0.204272719216533, -0.47121306190577644, -0.26221957373976085, 0.0996131849521286, 0.14431491158999657, 0.09364669175314096, -0.11986279180079389, -0.22283651606024554, 0.05355807220136436, -0.16654524265565365, -0.09185972737031989, -0.07855027962553625, 0.058547502635822944, 0.08898596051343095, -0.22317983190684268, 0.08627430580478783, -0.021952753226893645, 0.1260938654789546, -0.036287367809563875, -0.17864262863683203, -0.05862877210165607, 0.12342829014960444, 0.04004321002624541, -0.03936279507858368, 0.11172265528875869, -0.10887330545422931, -0.1052354283456225, 0.34152706523551996, -0.06012058969160231, -0.0873260097966219, 0.2704088838460545, -0.22371758575900458, -0.15749016166470634, 0.22265623068475784, 0.1464882901054807, 0.18580643987903991, -0.1747960661111089, 0.09103065160707047, 0.036815773899434134, 0.08542842535340849, 0.11336611960238467, 0.06090573155476401, 0.23483178666113722, 0.16595129970907388, -0.11460532912557635, 0.1033507602987811, -0.17550449993965836, -0.11021014605648816, -0.16797476143498594, -0.11342488607624546, -0.13563571183476597, -0.011513732102078697, -0.030688182180407846, -0.042911122931400314, 0.28762772827758454, 0.10969038319308311, 0.1880587751220446, -0.038072335332193084, 0.28898074811634916, 0.1441361103206873, 0.04018509113423837, 0.043846638853816934, 0.271919808195283, 0.2174298101114497, 0.07092949647145967, -0.31259102129358024, 0.09589473444308776, -0.018476817233022302] |
711.4137 | Electric field control of magnetic phase transitions in Ni3V2O8 | We report on the electric field control of magnetic phase transition
temperatures in multiferroic Ni3V2O8 thin films. Using magnetization
measurements, we find that the phase transition temperature to the canted
antiferromagnetic state is suppressed by 0.2 K in an electric field of 30 MV/m,
as compared to the unbiased sample. Dielectric measurements show that the
transition temperature into the magnetic state associated with ferroelectric
order increases by 0.2 K when the sample is biased at 25 MV/m. This electric
field control of the magnetic transitions can be qualitatively understood using
a mean field model incorporating a tri-linear coupling between the magnetic
order parameters and spontaneous polarization.
| cond-mat.mtrl-sci cond-mat.str-el | we report on the electric field control of magnetic phase transition temperatures in multiferroic ni3v2o8 thin films using magnetization measurements we find that the phase transition temperature to the canted antiferromagnetic state is suppressed by 02 k in an electric field of 30 mvm as compared to the unbiased sample dielectric measurements show that the transition temperature into the magnetic state associated with ferroelectric order increases by 02 k when the sample is biased at 25 mvm this electric field control of the magnetic transitions can be qualitatively understood using a mean field model incorporating a trilinear coupling between the magnetic order parameters and spontaneous polarization | [['we', 'report', 'on', 'the', 'electric', 'field', 'control', 'of', 'magnetic', 'phase', 'transition', 'temperatures', 'in', 'multiferroic', 'ni3v2o8', 'thin', 'films', 'using', 'magnetization', 'measurements', 'we', 'find', 'that', 'the', 'phase', 'transition', 'temperature', 'to', 'the', 'canted', 'antiferromagnetic', 'state', 'is', 'suppressed', 'by', '02', 'k', 'in', 'an', 'electric', 'field', 'of', '30', 'mvm', 'as', 'compared', 'to', 'the', 'unbiased', 'sample', 'dielectric', 'measurements', 'show', 'that', 'the', 'transition', 'temperature', 'into', 'the', 'magnetic', 'state', 'associated', 'with', 'ferroelectric', 'order', 'increases', 'by', '02', 'k', 'when', 'the', 'sample', 'is', 'biased', 'at', '25', 'mvm', 'this', 'electric', 'field', 'control', 'of', 'the', 'magnetic', 'transitions', 'can', 'be', 'qualitatively', 'understood', 'using', 'a', 'mean', 'field', 'model', 'incorporating', 'a', 'trilinear', 'coupling', 'between', 'the', 'magnetic', 'order', 'parameters', 'and', 'spontaneous', 'polarization']] | [-0.1755278352977497, 0.2715722383583406, 0.007636551609051958, -0.04252624542799444, -0.036000652201385853, -0.09378129522808178, 0.09054427832927343, 0.4419162072381883, -0.24346959063748144, -0.37117116430879765, 0.02444083263596766, -0.2826311977773483, -0.04112196401780788, 0.14957472542465558, 0.07727322831995925, -0.038195699993696694, -0.10955112318745551, 0.00716787812306616, -0.09766130608875516, -0.16542586673683715, 0.250293365785114, -0.002736725703865852, 0.30056108365643697, 0.03427246627771243, 0.061676155595671175, -0.06062427131933564, 0.1695046447709484, 0.09361816826715784, -0.14020810746832174, -0.030746804286708247, 0.22617465967119163, -0.08896410608892592, 0.1821267378630714, -0.4103548580703473, -0.16932655645112665, 0.04212352968005569, 0.10931638017613089, 0.13135976808251076, -0.08661432197111009, -0.28768359713326647, 0.0435086259407536, -0.08876442221292066, -0.11844553664504585, -0.13340958992441027, -0.04752429650288145, -0.014932406064614935, -0.3377593494935251, 0.11908130313463088, 0.052467200786472774, 0.1437162823693932, -0.11632910647587676, -0.1385345617353143, -0.07026091163960409, 0.031156874441087053, 0.0657236725564185, 0.181548957383471, 0.21094638375424832, -0.12228545006628166, -0.1256301876131164, 0.28868541190014135, -0.11050814679024284, -0.041524965992583984, 0.08521661198179606, -0.24082789031507554, -0.031460583817602555, 0.22127005728488824, 0.15635728202584498, 0.12113585052484611, -0.13470607382129496, 0.0679191105975989, 0.0705134974845316, 0.22747435199342808, 0.0069428460567065005, 0.012703409743548002, 0.25506724035894535, 0.1887631304715848, 0.024747822429317067, 0.18429307786216256, -0.1353108899317515, -0.052344095550547795, -0.2389921085867275, -0.13149793766315956, -0.1936964079570728, 0.09561549089321832, -0.14584122633741056, -0.15917820322661186, 0.38769773217269554, 0.2208721274202514, 0.16757213282135297, -0.04136453896655508, 0.2816966256074045, 0.12049317201445722, 0.06287142499086429, 0.052898668018521146, 0.32900465082131186, 0.25303721173560983, 0.15936051724922848, -0.2792420470647795, 0.07155718392130199, -0.03484636322893905] |
711.4138 | Furnishing the Galaxy with Pulsars | The majority of pulsar population synthesis studies performed to date have
focused on isolated pulsar evolution. Those that have incorporated pulsar
evolution within binary systems have tended to either treat binary evolution
poorly of evolve the pulsar population in an ad-hoc manner. Here we present the
first model of the Galactic field pulsar population that includes a
comprehensive treatment of both binary and pulsar evolution. Synthetic
observational surveys mimicking a variety of radio telescopes are then
performed on this population. As such, a complete and direct comparison of
model data with observations of the pulsar population within the Galactic disk
is now possible. The tool used for completing this work is a code comprised of
three components: stellar/binary evolution, Galactic kinematics and survey
selection effects. Here we give a brief overview of the method and assumptions
involved with each component. Some preliminary results are also presented as
well as plans for future applications of the code.
| astro-ph | the majority of pulsar population synthesis studies performed to date have focused on isolated pulsar evolution those that have incorporated pulsar evolution within binary systems have tended to either treat binary evolution poorly of evolve the pulsar population in an adhoc manner here we present the first model of the galactic field pulsar population that includes a comprehensive treatment of both binary and pulsar evolution synthetic observational surveys mimicking a variety of radio telescopes are then performed on this population as such a complete and direct comparison of model data with observations of the pulsar population within the galactic disk is now possible the tool used for completing this work is a code comprised of three components stellarbinary evolution galactic kinematics and survey selection effects here we give a brief overview of the method and assumptions involved with each component some preliminary results are also presented as well as plans for future applications of the code | [['the', 'majority', 'of', 'pulsar', 'population', 'synthesis', 'studies', 'performed', 'to', 'date', 'have', 'focused', 'on', 'isolated', 'pulsar', 'evolution', 'those', 'that', 'have', 'incorporated', 'pulsar', 'evolution', 'within', 'binary', 'systems', 'have', 'tended', 'to', 'either', 'treat', 'binary', 'evolution', 'poorly', 'of', 'evolve', 'the', 'pulsar', 'population', 'in', 'an', 'adhoc', 'manner', 'here', 'we', 'present', 'the', 'first', 'model', 'of', 'the', 'galactic', 'field', 'pulsar', 'population', 'that', 'includes', 'a', 'comprehensive', 'treatment', 'of', 'both', 'binary', 'and', 'pulsar', 'evolution', 'synthetic', 'observational', 'surveys', 'mimicking', 'a', 'variety', 'of', 'radio', 'telescopes', 'are', 'then', 'performed', 'on', 'this', 'population', 'as', 'such', 'a', 'complete', 'and', 'direct', 'comparison', 'of', 'model', 'data', 'with', 'observations', 'of', 'the', 'pulsar', 'population', 'within', 'the', 'galactic', 'disk', 'is', 'now', 'possible', 'the', 'tool', 'used', 'for', 'completing', 'this', 'work', 'is', 'a', 'code', 'comprised', 'of', 'three', 'components', 'stellarbinary', 'evolution', 'galactic', 'kinematics', 'and', 'survey', 'selection', 'effects', 'here', 'we', 'give', 'a', 'brief', 'overview', 'of', 'the', 'method', 'and', 'assumptions', 'involved', 'with', 'each', 'component', 'some', 'preliminary', 'results', 'are', 'also', 'presented', 'as', 'well', 'as', 'plans', 'for', 'future', 'applications', 'of', 'the', 'code']] | [-0.07221740746918397, 0.06540595476736855, -0.0593316678072696, 0.08628500089085159, -0.14147212299016806, -0.07030026351686758, 0.03343218287232165, 0.4150135272349685, -0.19137841939197806, -0.34423751374169326, 0.1387054414502554, -0.2533362967780051, -0.0908136000791087, 0.25752926083245814, 0.016809831115190323, 0.016279786231163412, 0.13494976562632915, -0.05759496997612027, -0.013866803592790324, -0.2428008968142818, 0.3112730117968451, 0.10132985193139085, 0.1586637643217378, -0.05482964035577308, 0.07973539702615175, -0.0186051087411425, -0.08608166992650158, 0.002991536670985321, -0.11137999411258558, 0.060012902207792, 0.24397192755117056, 0.21067255850917158, 0.2254028674125528, -0.4386270070173897, -0.2463412485204828, 0.05209420372445423, 0.1824804148547208, 0.10304742646761812, -0.11170727567812906, -0.2334982814567271, 0.04186126565484581, -0.25294432533887745, -0.15937599685574427, 0.005988746726264556, 0.028242711860982057, 0.08379734640617151, -0.1894127332772582, 0.03787926175256218, 0.047225317142408296, 0.10844326039883666, -0.1293596870307691, -0.13982407333559166, 0.020213670125649046, 0.1359057650387956, 0.026168994266742792, 0.05129982080035962, 0.12162848664686465, -0.10407505475151806, -0.12628921744628593, 0.40463702799752355, -0.05347093919184632, -0.11348091140210342, 0.21322521243247394, -0.16571402587056255, -0.22172405548656407, 0.07355400867751226, 0.22058940437049246, 0.14058436207079256, -0.20954508831700644, 0.03453335064934949, -0.03448907083545167, 0.17993371352069795, -0.04324285615868389, 0.040119646776778005, 0.29900428486199904, 0.22117575292306868, 0.0032722407511942154, 0.13195305822255948, -0.16905466142074707, -0.0819287431245007, -0.2573338167156833, -0.07000089196476321, -0.11843121244321363, 0.08813959958915336, -0.04475398940046897, -0.15485520985049123, 0.4024358462088574, 0.14227155377515233, 0.1642245410490805, 0.046114262650147654, 0.31135363821298456, 0.04702446191013456, 0.042850279359696195, 0.07356713044170576, 0.2629450508223575, 0.13238932546944573, 0.0741338786842206, -0.21565008349418163, 0.10778207206823982, -0.04794105285933862] |
711.4139 | The Plateau problem for marginally outer trapped surfaces | We solve the Plateau problem for marginally outer trapped surfaces in general
Cauchy data sets. We employ the Perron method and tools from geometric measure
theory to force and control a blow-up of Jang's equation. Substantial new
geometric insights regarding the lower order properties of marginally outer
trapped surfaces are gained in the process. The techniques developed in this
paper are flexible and can be adapted to other non-variational existence
problems.
| math.DG | we solve the plateau problem for marginally outer trapped surfaces in general cauchy data sets we employ the perron method and tools from geometric measure theory to force and control a blowup of jangs equation substantial new geometric insights regarding the lower order properties of marginally outer trapped surfaces are gained in the process the techniques developed in this paper are flexible and can be adapted to other nonvariational existence problems | [['we', 'solve', 'the', 'plateau', 'problem', 'for', 'marginally', 'outer', 'trapped', 'surfaces', 'in', 'general', 'cauchy', 'data', 'sets', 'we', 'employ', 'the', 'perron', 'method', 'and', 'tools', 'from', 'geometric', 'measure', 'theory', 'to', 'force', 'and', 'control', 'a', 'blowup', 'of', 'jangs', 'equation', 'substantial', 'new', 'geometric', 'insights', 'regarding', 'the', 'lower', 'order', 'properties', 'of', 'marginally', 'outer', 'trapped', 'surfaces', 'are', 'gained', 'in', 'the', 'process', 'the', 'techniques', 'developed', 'in', 'this', 'paper', 'are', 'flexible', 'and', 'can', 'be', 'adapted', 'to', 'other', 'nonvariational', 'existence', 'problems']] | [-0.08479523364270866, 0.0658347376582908, -0.13107748993370735, 0.09822214437041675, -0.116247165436581, -0.16448573749118917, 0.00890625546961813, 0.32055129063591153, -0.33202466755633203, -0.2846135982364731, 0.13096906570225797, -0.2635138873601149, -0.13736626303190708, 0.24324538633489692, -0.14247249842385276, 0.1102814747965042, 0.06628980925372265, -0.03459083264313218, -0.09055514062400645, -0.2526566694871011, 0.3507742128059478, 0.01796751576934902, 0.24046808570413522, 0.08367341530220715, 0.05213639236048756, -0.042661972009432565, -0.0012036740425711786, 0.029870161353807215, -0.23730228265130918, 0.19825198034211522, 0.24909835308790207, 0.0932606752489654, 0.2571229486608169, -0.4852823997572274, -0.24263666130759767, 0.12406698460231574, 0.16323862937082287, 0.14002344437258343, -0.06584134278163103, -0.2791650253807155, 0.05508031913827003, -0.10282409807640902, -0.2232595262721076, -0.1029962412750637, -0.025468165894419376, 0.00232512625852521, -0.22385542580044607, 0.09525237149152328, 0.08753480736992623, 0.0490388263305518, -0.12809706001188342, -0.08281570612485717, 0.019993297231029456, 0.07939898939540899, 0.020895139287589903, -0.004290602740529977, 0.0880523029137665, -0.07472021605911285, -0.0956898247691947, 0.3209272951779651, -0.045880460306595434, -0.23790884137311033, 0.19438987942806013, -0.10760391244671347, -0.13424922628852892, 0.16362586431861134, 0.23031519581629356, 0.16926183551549911, -0.1701147498457994, 0.0959375849965973, -0.018316277775021508, 0.10974496455115437, 0.08504344238309373, -0.00728380483571886, 0.17832679894398634, 0.12408043734047194, 0.12531692521567916, 0.14025727763663795, -0.06787357904331785, -0.12625331419821775, -0.2746355250792604, -0.1490642659261193, -0.12541240744266502, -0.00636374576732149, -0.07910665713556432, -0.16162766227629824, 0.3351523516253686, 0.1132425619322072, 0.15658684694011446, 0.02584183492212438, 0.2767151148963562, 0.1224246947750659, 0.0105712231843811, 0.09837310439841428, 0.23439288143770323, 0.16434468286977688, 0.10121998299752742, -0.19564726927258652, 0.01922360264440395, 0.11320970641632735] |
711.414 | Review of overall parameters of giant radio pulses from the Crab pulsar
and B1937+21 | We present a review of observed parameters of giant radio pulses, based on
the observations conducted by our group during recent years. The observations
cover a broad frequency range of about 3 octaves, concentrating between 600 and
4850 MHz. Giant pulses of both the Crab pulsar and the millisecond pulsar
B1937+21 were studied with the 70-m Tidbinbilla, the 100-m GBT, 64-m Kalyazin
and Westerbork radio telescopes. We discuss pulse energy distribution,
dependence of peak flux density from the pulse width, peculiarities of radio
spectra, and polarization properties of giant radio pulses.
| astro-ph | we present a review of observed parameters of giant radio pulses based on the observations conducted by our group during recent years the observations cover a broad frequency range of about 3 octaves concentrating between 600 and 4850 mhz giant pulses of both the crab pulsar and the millisecond pulsar b193721 were studied with the 70m tidbinbilla the 100m gbt 64m kalyazin and westerbork radio telescopes we discuss pulse energy distribution dependence of peak flux density from the pulse width peculiarities of radio spectra and polarization properties of giant radio pulses | [['we', 'present', 'a', 'review', 'of', 'observed', 'parameters', 'of', 'giant', 'radio', 'pulses', 'based', 'on', 'the', 'observations', 'conducted', 'by', 'our', 'group', 'during', 'recent', 'years', 'the', 'observations', 'cover', 'a', 'broad', 'frequency', 'range', 'of', 'about', '3', 'octaves', 'concentrating', 'between', '600', 'and', '4850', 'mhz', 'giant', 'pulses', 'of', 'both', 'the', 'crab', 'pulsar', 'and', 'the', 'millisecond', 'pulsar', 'b193721', 'were', 'studied', 'with', 'the', '70m', 'tidbinbilla', 'the', '100m', 'gbt', '64m', 'kalyazin', 'and', 'westerbork', 'radio', 'telescopes', 'we', 'discuss', 'pulse', 'energy', 'distribution', 'dependence', 'of', 'peak', 'flux', 'density', 'from', 'the', 'pulse', 'width', 'peculiarities', 'of', 'radio', 'spectra', 'and', 'polarization', 'properties', 'of', 'giant', 'radio', 'pulses']] | [-0.14934741416024966, 0.12812300768852294, -0.029814160848548123, 0.03181263571605086, -0.14868454549175042, -0.050128094432363796, 0.07737989599591347, 0.5139206396313486, -0.10618009056977845, -0.3799060678089058, 0.11426837319651476, -0.2671516969196171, -0.038484396580555524, 0.274578941243977, 0.05550496461340687, -0.03183230312520659, 0.1148746168895901, -0.1506989482575311, -0.027014443952753976, -0.12044331088251496, 0.19421452282835822, 0.13496541138738394, 0.2526076632234585, -0.019984342464870148, 0.1394676445000856, -0.08864526023351393, -0.06349386994542738, -0.13357636391870922, -0.11899182955724197, 0.03176903628467859, 0.23747272382152604, 0.1357484479885098, 0.1504807611825047, -0.41693489647638, -0.21730953306189973, 0.03013570267952733, 0.08418449051012951, -0.04330478755470652, -0.004733974240710038, -0.3625894288358453, 0.0511870187794237, -0.22054377680255488, -0.1872665783183158, 0.16437106744186686, 0.053280674890809496, 0.17853096520507727, -0.12852988454543954, 0.050201169353305965, -0.07012643358045882, 0.12103904636351617, -0.09943396481941198, -0.1644549123779103, 0.04369043002856875, 0.06557562516920351, 0.02641381397024616, 0.023287350291406717, 0.1252279502370364, -0.08628346685801151, -0.10772853596443004, 0.31059927333678516, -0.11742730547704704, 0.1366911861472405, 0.12800058568213749, -0.30336752155754754, -0.2105634888777366, 0.19076376140711235, 0.1672412611104057, 0.09670841058327274, -0.14235556020099505, 0.012694341972327003, -0.013243279011746111, 0.28122324496507645, 0.13413180063918725, 0.10694283135439996, 0.29040533453635464, 0.14064236582067519, 0.007453735580074263, 0.15942318588085883, -0.3454976725049194, 0.03351226207994661, -0.18384750927337906, 0.02397811942437029, -0.16241238504689146, 0.12488499712096629, -0.06051422513901143, -0.05158160593115039, 0.5157356886909559, 0.07542120986285486, 0.13048229628539348, 0.06788486317772377, 0.3149458094612583, 0.09790146412906124, 0.0735538728883142, 0.1112090682273137, 0.3094517950705447, 0.23442237909658106, 0.1686046417075936, -0.2372235944878392, -0.02994561781671799, -0.10938614722505048] |
711.4141 | Numerical comparison of Riemann solvers for astrophysical hydrodynamics | The idea of this work is to compare a new positive and entropy stable
approximate Riemann solver by Francois Bouchut with a state-of the-art
algorithm for astrophysical fluid dynamics. We implemented the new Riemann
solver into an astrophysical PPM-code, the Prometheus code, and also made a
version with a different, more theoretically grounded higher order algorithm
than PPM. We present shock tube tests, two-dimensional instability tests and
forced turbulence simulations in three dimensions. We find subtle differences
between the codes in the shock tube tests, and in the statistics of the
turbulence simulations. The new Riemann solver increases the computational
speed without significant loss of accuracy.
| astro-ph | the idea of this work is to compare a new positive and entropy stable approximate riemann solver by francois bouchut with a stateof theart algorithm for astrophysical fluid dynamics we implemented the new riemann solver into an astrophysical ppmcode the prometheus code and also made a version with a different more theoretically grounded higher order algorithm than ppm we present shock tube tests twodimensional instability tests and forced turbulence simulations in three dimensions we find subtle differences between the codes in the shock tube tests and in the statistics of the turbulence simulations the new riemann solver increases the computational speed without significant loss of accuracy | [['the', 'idea', 'of', 'this', 'work', 'is', 'to', 'compare', 'a', 'new', 'positive', 'and', 'entropy', 'stable', 'approximate', 'riemann', 'solver', 'by', 'francois', 'bouchut', 'with', 'a', 'stateof', 'theart', 'algorithm', 'for', 'astrophysical', 'fluid', 'dynamics', 'we', 'implemented', 'the', 'new', 'riemann', 'solver', 'into', 'an', 'astrophysical', 'ppmcode', 'the', 'prometheus', 'code', 'and', 'also', 'made', 'a', 'version', 'with', 'a', 'different', 'more', 'theoretically', 'grounded', 'higher', 'order', 'algorithm', 'than', 'ppm', 'we', 'present', 'shock', 'tube', 'tests', 'twodimensional', 'instability', 'tests', 'and', 'forced', 'turbulence', 'simulations', 'in', 'three', 'dimensions', 'we', 'find', 'subtle', 'differences', 'between', 'the', 'codes', 'in', 'the', 'shock', 'tube', 'tests', 'and', 'in', 'the', 'statistics', 'of', 'the', 'turbulence', 'simulations', 'the', 'new', 'riemann', 'solver', 'increases', 'the', 'computational', 'speed', 'without', 'significant', 'loss', 'of', 'accuracy']] | [-0.118807756513845, 0.06462067113427024, -0.08785334283574706, 0.1110181576794102, -0.04359110676284347, -0.14669261267852216, -0.005136527318418736, 0.3278288070822046, -0.2306876695714891, -0.32366434576965514, 0.06731300047665302, -0.25457933895467294, -0.10954552423208952, 0.25530258202481837, -0.00912675563068617, 0.10858333302395684, 0.10976781078525596, -0.06283225300056594, -0.11455917520631503, -0.2509936049780143, 0.2685495409937132, 0.14509701490224827, 0.2564146918555101, 0.049244534086790824, 0.09831967956186938, -0.11511910061485, -0.030074012980219864, 0.050052230624437685, -0.16606915821764795, 0.07825846905332236, 0.17162154744423572, 0.11161016038663331, 0.2878813633251758, -0.47233836508045596, -0.2358520143975814, 0.021846169918509465, 0.11890244362446191, 0.10000883234842192, -0.05563429232002125, -0.26804747187222044, 0.0706334434981857, -0.18734596869353914, -0.10983124794438481, -0.04929624041542411, -0.020390075791094985, -0.014657127520158178, -0.23927711465706428, 0.07361709067259826, 0.04568437963191952, 0.07998737078160048, -0.05131219946557567, -0.10610339623831568, 0.013248646534269765, 0.03826182537179972, 0.07202979711860064, 0.05455787340955188, 0.08784939677321485, -0.11942230910173662, -0.11503088666081783, 0.3901183706309114, -0.09643524262424935, -0.25844330626229445, 0.2208771516081123, -0.10957069398968347, -0.09959950005958533, 0.15006853646731802, 0.2084491833113134, 0.12633523877177918, -0.06800378172525338, 0.027888384321704505, -0.05466020119908665, 0.1867691588211095, 0.06714903461259036, -0.09583201167572822, 0.18830131545574183, 0.19768878171397816, 0.015191612867194983, 0.15814380469244152, -0.11094082594361333, -0.09451178105193235, -0.28381200493978603, -0.1954113522455806, -0.1292326135172819, -0.0159121382804144, -0.13132158440171873, -0.18165434696489857, 0.38037311504816723, 0.21469085308324012, 0.06663542875044402, 0.07989946939494638, 0.3439782535036405, 0.07401982169775735, 0.022072446399501393, 0.15148790036328136, 0.2218605194595598, 0.14116104197954493, 0.0931277536742744, -0.23656453048987758, 0.02107425014089261, 0.10506815367289597] |
711.4142 | Content Reuse and Interest Sharing in Tagging Communities | Tagging communities represent a subclass of a broader class of user-generated
content-sharing online communities. In such communities users introduce and tag
content for later use. Although recent studies advocate and attempt to harness
social knowledge in this context by exploiting collaboration among users,
little research has been done to quantify the current level of user
collaboration in these communities. This paper introduces two metrics to
quantify the level of collaboration: content reuse and shared interest. Using
these two metrics, this paper shows that the current level of collaboration in
CiteULike and Connotea is consistently low, which significantly limits the
potential of harnessing the social knowledge in communities. This study also
discusses implications of these findings in the context of recommendation and
reputation systems.
| cs.DL cs.IR | tagging communities represent a subclass of a broader class of usergenerated contentsharing online communities in such communities users introduce and tag content for later use although recent studies advocate and attempt to harness social knowledge in this context by exploiting collaboration among users little research has been done to quantify the current level of user collaboration in these communities this paper introduces two metrics to quantify the level of collaboration content reuse and shared interest using these two metrics this paper shows that the current level of collaboration in citeulike and connotea is consistently low which significantly limits the potential of harnessing the social knowledge in communities this study also discusses implications of these findings in the context of recommendation and reputation systems | [['tagging', 'communities', 'represent', 'a', 'subclass', 'of', 'a', 'broader', 'class', 'of', 'usergenerated', 'contentsharing', 'online', 'communities', 'in', 'such', 'communities', 'users', 'introduce', 'and', 'tag', 'content', 'for', 'later', 'use', 'although', 'recent', 'studies', 'advocate', 'and', 'attempt', 'to', 'harness', 'social', 'knowledge', 'in', 'this', 'context', 'by', 'exploiting', 'collaboration', 'among', 'users', 'little', 'research', 'has', 'been', 'done', 'to', 'quantify', 'the', 'current', 'level', 'of', 'user', 'collaboration', 'in', 'these', 'communities', 'this', 'paper', 'introduces', 'two', 'metrics', 'to', 'quantify', 'the', 'level', 'of', 'collaboration', 'content', 'reuse', 'and', 'shared', 'interest', 'using', 'these', 'two', 'metrics', 'this', 'paper', 'shows', 'that', 'the', 'current', 'level', 'of', 'collaboration', 'in', 'citeulike', 'and', 'connotea', 'is', 'consistently', 'low', 'which', 'significantly', 'limits', 'the', 'potential', 'of', 'harnessing', 'the', 'social', 'knowledge', 'in', 'communities', 'this', 'study', 'also', 'discusses', 'implications', 'of', 'these', 'findings', 'in', 'the', 'context', 'of', 'recommendation', 'and', 'reputation', 'systems']] | [-0.1016728975905533, 0.05601477642833698, -0.03150241767804398, 0.07266597329261025, -0.14699602405899434, -0.09438643390663468, 0.10124244626619106, 0.3941331857235217, -0.21697732629101785, -0.3733136254805522, 0.036071089569662436, -0.3128615566911023, -0.21673260897123178, 0.11210146429375975, -0.07847739860308586, 0.009698378456542726, 0.08931715952873719, 0.04531040757161672, 0.007972292855885795, -0.2713018922482571, 0.39192985654732243, 0.10386138023869669, 0.35274825342854516, 0.13038973353772623, 0.02266669382921374, -0.022512958753380743, -0.17013316569071202, 0.029240157279628712, -0.10552884321346102, 0.21272280525614615, 0.38789260264325764, 0.25491370507096106, 0.35672294579782204, -0.38341369238762246, -0.21869795195582767, 0.11297711605572554, 0.15707360471400325, 0.08490460467635516, -0.09531681904126509, -0.34723042649384894, 0.10606860598457642, -0.26760344801195823, -0.053695405610134736, -0.06250110014387575, -0.015700666294967542, 0.02913572242889996, -0.1821490970944039, 0.006252167171743301, 0.03188836783720333, 0.09693853564743625, -0.00032307488794178994, -0.11777775866345915, 0.05359071280929397, 0.2131410356473605, 0.08894482185896181, -0.006126413158318562, 0.1193552235633776, -0.18176650647054898, -0.17961714442315527, 0.376944577840508, -0.021183978737576208, -0.17311099861733248, 0.21595253113115237, -0.11559411765793796, -0.2315486569117877, 0.01162815938291491, 0.27268000602050396, 0.032501657386539415, -0.2432736499677794, 0.04462617381688658, -0.021116300096704822, 0.18927066841116938, 0.08237029664737523, 0.05730868066798468, 0.1930506706817961, 0.22060860322261627, 0.05693989579153598, 0.08402417010826166, 0.012511491286950033, -0.09415938255575593, -0.1501606819334394, -0.153248753612403, -0.14854813195558905, -0.02218005962318695, -0.049020685308367645, -0.07692314250529247, 0.45002995023015335, 0.1955462984710199, 0.16294385697959815, 0.03281450849198202, 0.2709342076702685, 0.00331334776596212, 0.07999753752402718, 0.07963117739552113, 0.21936447314963844, 0.02636240771780798, 0.1897336691388952, -0.13831407529422174, 0.11818956903307928, -0.028953557959032535] |
711.4143 | Exponentially localized solutions of the Klein-Gordon equation | Exponentially localized solutions of the Klein-Gordon equation for two and
three space variables are presented. The solutions depend on four free
parameters. For some relations between the parameters, the solutions describe
wave packets filled with oscillations whose amplitudes decrease in the Gaussian
way with distance from a point running with group velocity along a straight
line. The solutions are constructed using exact complex solutions of the
eikonal equation and may be regarded as ray solutions with amplitudes involving
one term. It is also shown that the multidimensional nonlinear Klein-Gordon
equation can be reduced to an ordinary differential equation with respect to
the complex eikonal.
| hep-th math-ph math.MP nlin.SI | exponentially localized solutions of the kleingordon equation for two and three space variables are presented the solutions depend on four free parameters for some relations between the parameters the solutions describe wave packets filled with oscillations whose amplitudes decrease in the gaussian way with distance from a point running with group velocity along a straight line the solutions are constructed using exact complex solutions of the eikonal equation and may be regarded as ray solutions with amplitudes involving one term it is also shown that the multidimensional nonlinear kleingordon equation can be reduced to an ordinary differential equation with respect to the complex eikonal | [['exponentially', 'localized', 'solutions', 'of', 'the', 'kleingordon', 'equation', 'for', 'two', 'and', 'three', 'space', 'variables', 'are', 'presented', 'the', 'solutions', 'depend', 'on', 'four', 'free', 'parameters', 'for', 'some', 'relations', 'between', 'the', 'parameters', 'the', 'solutions', 'describe', 'wave', 'packets', 'filled', 'with', 'oscillations', 'whose', 'amplitudes', 'decrease', 'in', 'the', 'gaussian', 'way', 'with', 'distance', 'from', 'a', 'point', 'running', 'with', 'group', 'velocity', 'along', 'a', 'straight', 'line', 'the', 'solutions', 'are', 'constructed', 'using', 'exact', 'complex', 'solutions', 'of', 'the', 'eikonal', 'equation', 'and', 'may', 'be', 'regarded', 'as', 'ray', 'solutions', 'with', 'amplitudes', 'involving', 'one', 'term', 'it', 'is', 'also', 'shown', 'that', 'the', 'multidimensional', 'nonlinear', 'kleingordon', 'equation', 'can', 'be', 'reduced', 'to', 'an', 'ordinary', 'differential', 'equation', 'with', 'respect', 'to', 'the', 'complex', 'eikonal']] | [-0.15335708989900573, 0.13058530972375593, -0.08392478235943529, 0.07843562731264123, -0.11447943336903475, -0.15053054046494743, -0.04810728395442801, 0.31842864569849694, -0.28335927131299216, -0.26079458180790355, 0.1114019481185376, -0.3432281417861724, -0.1430122471333911, 0.21980784496722314, 0.04155305096019919, 0.08380666624109906, 0.0680755225296777, 0.0681144644208521, -0.08207049451616164, -0.20593945277281678, 0.36075740383687216, -0.02822780060187842, 0.21850100088900384, -0.05997279196386584, 0.11738506792328106, -0.020827980398630295, -0.016180323134624183, 0.034340416766029266, -0.11956231470846362, 0.0669923599394119, 0.233000109319199, 0.06801292518726908, 0.18634303358311838, -0.4532384018664463, -0.22776265520280084, 0.08544053939672616, 0.19528089255954212, 0.1132341519338437, -0.010856607385973733, -0.2980119483276772, 0.02986242338262785, -0.11816060989020535, -0.24625414804233095, -0.03835870287058732, 0.016491051172264494, 0.11806466731314476, -0.24117522632094243, 0.08731599849432733, -0.030932760519835237, -0.05001362726817696, -0.12581092282758058, -0.0825556547094423, -0.029287618504335675, 0.05295977147313981, 0.08450020714707744, 0.041651065761330895, 0.02616212284640194, -0.11109208311693063, -0.09278551432698105, 0.38684521614161965, -0.09372093129562788, -0.3463137765110542, 0.14687843456452426, -0.11473758483099608, -0.05931853034193269, 0.18534007226116955, 0.1437370956544048, 0.11241802750961281, -0.16030846452150188, 0.10855630699818274, 0.0016705564721632982, 0.1662226739138602, 0.1091218511999334, 0.021481248626234725, 0.14874909938169786, 0.08452388347807126, 0.06020434104609124, 0.08689484416390769, -0.017893838443202324, -0.15892381479632325, -0.3382950571652215, -0.131873748111852, -0.10635969210013102, 0.0593416110007708, -0.13974601106439458, -0.21411365222341444, 0.3781856162464604, 0.06919498788304806, 0.19430157461185724, 0.042214506037103444, 0.23540899717213157, 0.24875590792530253, 0.031729127486379675, 0.09049087039714393, 0.22677448398770558, 0.15722033120423126, 0.10472354651070558, -0.21713200305832567, 0.0045908822122818, 0.11351961636235221] |
711.4144 | On Haagerup's list of potential principal graphs of subfactors | We show that any graph, in the sequence given by Haagerup in 1991 as that of
candidates of principal graphs of subfactors, is not realized as a principal
graph except for the smallest two. This settles the remaining case of a
previous work of the first author.
| math.OA math.QA | we show that any graph in the sequence given by haagerup in 1991 as that of candidates of principal graphs of subfactors is not realized as a principal graph except for the smallest two this settles the remaining case of a previous work of the first author | [['we', 'show', 'that', 'any', 'graph', 'in', 'the', 'sequence', 'given', 'by', 'haagerup', 'in', '1991', 'as', 'that', 'of', 'candidates', 'of', 'principal', 'graphs', 'of', 'subfactors', 'is', 'not', 'realized', 'as', 'a', 'principal', 'graph', 'except', 'for', 'the', 'smallest', 'two', 'this', 'settles', 'the', 'remaining', 'case', 'of', 'a', 'previous', 'work', 'of', 'the', 'first', 'author']] | [-0.15212528408069084, 0.06947247224780632, -0.05032441483691652, -0.03260890965132003, -0.05834578689029242, -0.1026571595526122, 0.009758407495261983, 0.3526980721570076, -0.24579458496473888, -0.2853279944430006, 0.1337857417653295, -0.25153317944483555, -0.1556957186536586, 0.16934526355025617, -0.11562684154573907, 0.005544828719142428, 0.08652116752606123, 0.09225264215405951, -0.006804231960484956, -0.2837163825244445, 0.37044596006261543, -0.00020502250086753927, 0.14480863382762416, 0.04217035216378405, 0.055748778365631683, 0.011311791966015354, -0.03820757880965446, 0.03790620989859738, -0.09012565422125725, 0.0995782522900783, 0.2704460364865496, 0.11078816301565855, 0.27385653255190306, -0.32909772736317616, -0.18393972700342853, 0.19347901699787123, 0.1356268070757072, 0.08781326948566005, -0.007515398785471916, -0.24549113922910962, 0.14688296854109603, -0.18000214296006697, -0.08532430593201772, -0.007399140163622004, 0.08760589765424424, -0.013716906824327529, -0.21592001510942552, 0.04320180128784256, 0.20275197966777264, 0.03885213085549309, -0.039142089955350186, -0.15916336894510907, -0.03138091735556682, 0.17796504990930886, 0.025267401685383408, 0.03547705761454207, 0.019734112357601842, -0.12068297836354915, -0.2124719257525941, 0.37577994056838626, -0.06674813072969939, -0.10525599423241108, 0.09807853036104365, -0.15544275256824938, -0.2627140621634874, 0.05661656883882081, 0.058127191135699446, 0.14866930959706612, -0.09461478223191931, 0.12150444056680228, -0.16271403851978322, 0.11413805552342153, 0.10673464979342323, -0.054000538001035124, 0.11258016814021989, 0.13626661044644547, 0.09372654354120506, 0.2069085691560139, 0.0027664614484665243, 0.03120384432692477, -0.3436330150258034, -0.1932123674357191, -0.28873131647235417, 0.05150857489052021, -0.0957588345862608, -0.20050353844194335, 0.427468745711636, 0.10734172892865744, 0.23499544876370024, 0.07905946622424304, 0.24478458300074366, 0.043474661082306756, 0.05264169817909281, 0.13543456722486844, 0.22698333729652964, 0.19594290801522105, 0.003422215204448142, -0.10811699983326996, 0.0457703588887098, 0.1320288848290418] |
711.4145 | Measurement of photons via conversion pairs in Au+Au collisions at
sqrt(s_NN) = 200 GeV with the PHENIX experiment at RHIC | Thermal photons can provide information on the temperature of the new state
of matter created at RHIC. In the p_T region of 1--3 GeV/c thermal photons are
expected to be the dominant direct photon source. Therefore, a possible excess
compared to a pure decay photon signal due to a thermal photon contribution
should be seen in the double ratio
(gamma/gamma(pi^0))_{Measured}/(gamma/gamma(pi^0))_{Simulated}, if sufficient
accuracy can be reached. We present a method to reconstruct direct photons by
measuring e^+e^- pairs from external photon conversions.
| nucl-ex | thermal photons can provide information on the temperature of the new state of matter created at rhic in the p_t region of 13 gevc thermal photons are expected to be the dominant direct photon source therefore a possible excess compared to a pure decay photon signal due to a thermal photon contribution should be seen in the double ratio gammagammapi0_measuredgammagammapi0_simulated if sufficient accuracy can be reached we present a method to reconstruct direct photons by measuring ee pairs from external photon conversions | [['thermal', 'photons', 'can', 'provide', 'information', 'on', 'the', 'temperature', 'of', 'the', 'new', 'state', 'of', 'matter', 'created', 'at', 'rhic', 'in', 'the', 'p_t', 'region', 'of', '13', 'gevc', 'thermal', 'photons', 'are', 'expected', 'to', 'be', 'the', 'dominant', 'direct', 'photon', 'source', 'therefore', 'a', 'possible', 'excess', 'compared', 'to', 'a', 'pure', 'decay', 'photon', 'signal', 'due', 'to', 'a', 'thermal', 'photon', 'contribution', 'should', 'be', 'seen', 'in', 'the', 'double', 'ratio', 'gammagammapi0_measuredgammagammapi0_simulated', 'if', 'sufficient', 'accuracy', 'can', 'be', 'reached', 'we', 'present', 'a', 'method', 'to', 'reconstruct', 'direct', 'photons', 'by', 'measuring', 'ee', 'pairs', 'from', 'external', 'photon', 'conversions']] | [-0.05407700209912879, 0.23931244955064707, -0.13736326816020372, 0.10295813772137519, -0.030764654612191664, -0.11499393388720942, 0.06496372396114891, 0.37920202710378315, -0.2581706681507237, -0.3450645414169556, -0.006754875924714186, -0.3295999944302035, 0.0966387778164152, 0.21229341253638268, 0.018984211168616986, 0.013643464562195687, 0.09600524154756172, 0.0214471985204404, -0.011671728403508708, -0.17181732307222705, 0.2438103259730808, 0.13511055681486556, 0.2620098884734843, 0.14958050398638956, 0.09722059152238531, -0.005375827380950436, -0.050851367549096915, -0.009639822119088084, -0.0730772216482387, 0.016620686164206283, 0.26335138457332863, 0.0585860970981971, 0.13948897793199178, -0.3744090137037414, -0.1684423935496145, 0.19740416508535913, 0.1665087038087716, 0.1037865952519631, -0.0740069059588958, -0.25972237723109165, 0.07137807401150097, -0.2115071634819478, -0.0956750242901897, -0.03644703244675457, -0.04282375127594504, -0.051189579903205606, -0.30602942700325336, 0.1279256765006317, -0.017915878844458933, -0.03834246755520135, 0.021744277356997316, -0.08839444129693287, -0.05914055955607766, 0.05213488112663689, 0.017026964402585117, 0.07112348980103608, 0.21725976752853135, -0.1678852822608602, -0.1581392447107736, 0.36027323312045617, -0.09436336462960843, -0.13866883826752505, 0.15868824329457165, -0.1768322582644077, -0.056786103139596956, 0.2617177518521562, 0.20275831134001046, 0.08700069603452712, -0.17450791002929578, -0.008830972027355506, 0.02551735312114527, 0.2239835718445434, 0.07953092306392429, 0.12722017474610497, 0.28196808226682524, 0.1312819144424097, 0.0014915201858973798, 0.18518904799647215, -0.1385965550449597, 0.0027603632820781643, -0.3355571168710558, -0.1503324978697447, -0.1733815505436656, 0.10989306851313162, -0.054819649093307235, -0.04591563567059276, 0.3543130157480913, 0.1150669259318139, 0.20466006163760653, -0.040770931336108915, 0.3529833870721452, 0.16336510018991698, 0.04539086281632384, 0.05857719170550505, 0.36418699918107855, 0.1430507239103777, 0.13705701280505983, -0.20737370005578815, 0.03829911288540856, -0.03833573996836757] |
711.4146 | Comments on Spontaneous Spin-Statistics Violation by Fermion Condensates | Scalar condensation, the well-established Higgs phenomenon, is the standard
paradigm for building up renormalizable gauge-invariant theories of massive
gauge bosons. In this short note, we demonstrate the uniqueness of the Higgs
vacuum state under the possible presence of fermion condensates in a
renormalizable U(1) model. In the same context, we explain why spontaneous
spin-statistics violation is technically not admitted in conventional Quantum
Field Theory.
| hep-ph | scalar condensation the wellestablished higgs phenomenon is the standard paradigm for building up renormalizable gaugeinvariant theories of massive gauge bosons in this short note we demonstrate the uniqueness of the higgs vacuum state under the possible presence of fermion condensates in a renormalizable u1 model in the same context we explain why spontaneous spinstatistics violation is technically not admitted in conventional quantum field theory | [['scalar', 'condensation', 'the', 'wellestablished', 'higgs', 'phenomenon', 'is', 'the', 'standard', 'paradigm', 'for', 'building', 'up', 'renormalizable', 'gaugeinvariant', 'theories', 'of', 'massive', 'gauge', 'bosons', 'in', 'this', 'short', 'note', 'we', 'demonstrate', 'the', 'uniqueness', 'of', 'the', 'higgs', 'vacuum', 'state', 'under', 'the', 'possible', 'presence', 'of', 'fermion', 'condensates', 'in', 'a', 'renormalizable', 'u1', 'model', 'in', 'the', 'same', 'context', 'we', 'explain', 'why', 'spontaneous', 'spinstatistics', 'violation', 'is', 'technically', 'not', 'admitted', 'in', 'conventional', 'quantum', 'field', 'theory']] | [-0.1597603654008708, 0.2728526011342183, -0.053259648266248405, 0.19268145689602534, -0.08926300340681337, -0.19899888603686122, 0.00823839807890181, 0.28605126263573766, -0.17271698570402805, -0.22276790902833454, -0.012952788856637198, -0.20356437540613115, -0.15890238333668094, 0.07583858075304306, -0.036502425122307613, 0.05591041891602799, -0.046106910733215045, 0.0449128572945483, -0.05618148326266237, -0.30510438047349453, 0.31974025426461594, -0.02246985529518497, 0.30874391544784885, 0.09649502195225068, 0.10136702013551258, -0.007691231643548235, 0.047319375105871586, -0.07539461641135858, -0.07057666142463859, 0.05171097988750262, 0.16529317753884243, 0.07515075063565746, 0.18256224557990208, -0.4017661018879153, -0.2323696098756045, 0.1684862610854907, 0.15587438122020103, 0.19729157962137833, -0.08506587576994207, -0.3273957924102433, 0.05721875229937723, -0.21760672860546038, -0.18756193479748617, -0.10192014375934377, -0.07376887055397674, -0.1946792903181631, -0.273752968867484, 0.14182044835251872, 0.013125820103596197, 0.06451763064251281, -0.02484763608663343, -0.03035364691459108, 0.01211847021477297, -0.026907277358986903, 0.17993767344705702, 0.021716682247642893, 0.125232627717196, -0.23932764088749536, -0.19225292232476932, 0.437895720009692, -0.15728922048583627, -0.193738125563641, 0.17671283775416669, -0.14665826475811627, -0.17964155816298444, 0.07879516249158769, 0.08290285973544087, 0.12389346303007187, -0.18307840050692903, 0.24563219952688087, -0.09828174125141231, 0.12547969522711355, 0.06055582179396879, 0.09385554559412412, 0.319575574278133, 0.15658931659709197, 0.015467417673789896, 0.09362108427740168, 0.054809352644952014, -0.20044610460263357, -0.4674952108034631, -0.17061680636470555, -0.11509237151039997, 0.09626105085794734, -0.03667307433352107, -0.13677403068868443, 0.37056792524526827, 0.20855121494969353, 0.11064593550690915, 0.016783855826361105, 0.24670253996373503, 0.10182197819085559, 0.10497496664174832, -0.0007951609150040895, 0.3171149677145877, 0.17839987043407746, 0.12588848451559898, -0.2300356138002826, -0.10238419513189001, 0.12871961275232024] |
711.4147 | \phi K^{+}K^{-} production in electron-positron annihilation | In this work we study the e^{+}e^{-}\to\phi K^{+}K^{-} reaction. The leading
order electromagnetic contributions to this process involve the \gamma*\phi\
K^{+}K^{-} vertex function with a highly virtual photon. We calculate this
function at low energies using R\chi PT supplemented with the anomalous term
for the VV'P interactions. Tree level contributions involve the kaon form
factors and the K*K transition form factors. We improve this result, valid for
low photon virtualities, replacing the lowest order terms in the kaon form
factors and K*K transition form factors by the form factors as obtained in
U\chi PT in the former case and the ones extracted from recent data on
e^{+}e^{-}\to KK* in the latter case. We calculate rescattering effects which
involve meson-meson amplitudes. The corresponding result is improved using the
unitarized meson-meson amplitudes containing the scalar poles instead of the
lowest order terms. Using the BABAR value for BR(X\to \phi f_{0})\Gamma (X\to
e^{+} e^{-}), we calculate the contribution from intermediate X(2175). A good
description of data is obtained in the case of destructive interference between
this contribution and the previous ones, but more accurate data on the
isovector K*K transition form factor is required in order to exclude
contributions from an intermediate isovector resonance to e^{+}e^{-}\to \phi\
K^{+}K^{-} around 2.2 GeV.
| hep-ph | in this work we study the eetophi kk reaction the leading order electromagnetic contributions to this process involve the gammaphi kk vertex function with a highly virtual photon we calculate this function at low energies using rchi pt supplemented with the anomalous term for the vvp interactions tree level contributions involve the kaon form factors and the kk transition form factors we improve this result valid for low photon virtualities replacing the lowest order terms in the kaon form factors and kk transition form factors by the form factors as obtained in uchi pt in the former case and the ones extracted from recent data on eeto kk in the latter case we calculate rescattering effects which involve mesonmeson amplitudes the corresponding result is improved using the unitarized mesonmeson amplitudes containing the scalar poles instead of the lowest order terms using the babar value for brxto phi f_0gamma xto e e we calculate the contribution from intermediate x2175 a good description of data is obtained in the case of destructive interference between this contribution and the previous ones but more accurate data on the isovector kk transition form factor is required in order to exclude contributions from an intermediate isovector resonance to eeto phi kk around 22 gev | [['in', 'this', 'work', 'we', 'study', 'the', 'eetophi', 'kk', 'reaction', 'the', 'leading', 'order', 'electromagnetic', 'contributions', 'to', 'this', 'process', 'involve', 'the', 'gammaphi', 'kk', 'vertex', 'function', 'with', 'a', 'highly', 'virtual', 'photon', 'we', 'calculate', 'this', 'function', 'at', 'low', 'energies', 'using', 'rchi', 'pt', 'supplemented', 'with', 'the', 'anomalous', 'term', 'for', 'the', 'vvp', 'interactions', 'tree', 'level', 'contributions', 'involve', 'the', 'kaon', 'form', 'factors', 'and', 'the', 'kk', 'transition', 'form', 'factors', 'we', 'improve', 'this', 'result', 'valid', 'for', 'low', 'photon', 'virtualities', 'replacing', 'the', 'lowest', 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'on', 'the', 'isovector', 'kk', 'transition', 'form', 'factor', 'is', 'required', 'in', 'order', 'to', 'exclude', 'contributions', 'from', 'an', 'intermediate', 'isovector', 'resonance', 'to', 'eeto', 'phi', 'kk', 'around', '22', 'gev']] | [-0.10831127101747609, 0.1767128401151796, -0.07081696526777537, 0.11863744116050212, -0.0521883174078539, -0.061919100910370936, 0.07698442265606097, 0.2795365329705251, -0.18269488811086032, -0.27053040633140835, -0.05019661998371305, -0.34125432651489973, -0.08788339072133153, 0.12395076948281342, 0.08418994630885862, 0.03369762276542159, 0.05087961810635339, 0.0563292645428836, -0.043105089198345846, -0.17133403194896443, 0.34674504570192793, 0.007564331314445121, 0.20324789477259064, 0.10351704079793422, 0.02339091067127793, 0.04921856222931947, -0.02649719679493059, -0.09817136381526739, -0.14085342663394523, 0.08602448388509162, 0.26780224713673184, 0.02600852734278164, 0.12623869943278795, -0.35897125551297365, -0.10058269766441917, 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711.4148 | Sylow 0-unipotent subgroups in groups of finite Morley rank | One of the central tools in the classification of simple algebraic groups is
the distinction between semisimple subgroups and unipotent subgroups. It is not
a priori clear how to make this distinction for torsion-free subgroups of a
group of finite Morley rank. We exploit the ``graded'' notion of 0-unipotence
to develop a Sylow theory for torsion-free subgroups of a solvable group of
finite Morley rank. This Sylow theory provides a robust alternative to the
usual theory of Carter subgroups, and will be used in the analysis of
intersections of Borel subgroups in minimal simple groups.
| math.LO math.GR | one of the central tools in the classification of simple algebraic groups is the distinction between semisimple subgroups and unipotent subgroups it is not a priori clear how to make this distinction for torsionfree subgroups of a group of finite morley rank we exploit the graded notion of 0unipotence to develop a sylow theory for torsionfree subgroups of a solvable group of finite morley rank this sylow theory provides a robust alternative to the usual theory of carter subgroups and will be used in the analysis of intersections of borel subgroups in minimal simple groups | [['one', 'of', 'the', 'central', 'tools', 'in', 'the', 'classification', 'of', 'simple', 'algebraic', 'groups', 'is', 'the', 'distinction', 'between', 'semisimple', 'subgroups', 'and', 'unipotent', 'subgroups', 'it', 'is', 'not', 'a', 'priori', 'clear', 'how', 'to', 'make', 'this', 'distinction', 'for', 'torsionfree', 'subgroups', 'of', 'a', 'group', 'of', 'finite', 'morley', 'rank', 'we', 'exploit', 'the', 'graded', 'notion', 'of', '0unipotence', 'to', 'develop', 'a', 'sylow', 'theory', 'for', 'torsionfree', 'subgroups', 'of', 'a', 'solvable', 'group', 'of', 'finite', 'morley', 'rank', 'this', 'sylow', 'theory', 'provides', 'a', 'robust', 'alternative', 'to', 'the', 'usual', 'theory', 'of', 'carter', 'subgroups', 'and', 'will', 'be', 'used', 'in', 'the', 'analysis', 'of', 'intersections', 'of', 'borel', 'subgroups', 'in', 'minimal', 'simple', 'groups']] | [-0.1770768073534495, 0.07485678989048067, -0.18807995978154635, 0.11315795524339926, -0.1664241467749602, -0.1490316266046935, 0.06846920737236935, 0.3631533415743003, -0.32084318209457896, -0.2040479021735097, 0.09094758257882571, -0.23906917597510313, -0.08739917868454206, 0.17612065098395474, -0.20915355167694782, -0.06592739738499452, 0.015999059604578897, 0.14238033516234475, -0.09543355833984127, -0.2507167908951248, 0.3640215478126744, -0.0548754428758433, 0.2884778837722383, 0.026324430260023002, 0.06365871723545224, 0.016961946473211833, -0.060376590255059696, -0.007195929200143406, -0.08476526646041556, 0.14670971592790202, 0.38788063261461886, 0.056635736242720953, 0.2573729652776628, -0.36920895329431486, -0.1492237562215642, 0.2571984619098274, 0.13000235141892183, 0.01872466667065103, -0.07277104580088666, -0.2535591755135867, 0.13584687813724342, -0.271984471341497, -0.1851342105355702, -0.0883055167174653, 0.08921949338707093, -0.06868477736256624, -0.18924262854515722, 0.04440428745981894, 0.06697448043054656, 0.1887692966285134, -0.015091967009203998, -0.054266942330440014, 0.001082065806871182, 0.14414900694728683, 0.006992389707777061, -0.05921166689674321, 0.07317243083625248, -0.04333169482844441, -0.14109524680105479, 0.46376818402817377, -0.03538860697299242, -0.23405813249318222, 0.18348457335837579, -0.17154087451727767, -0.21484325815384325, 0.08906969451590588, 0.1031728382957609, 0.13958436908555757, -0.04070379838935639, 0.17860182280480666, -0.16178639937976474, 0.08943640362275274, 0.021613991221314983, -0.06580594187896503, 0.08562261381823766, 0.12812233579982268, 0.08198964614911299, 0.07502937061531395, 0.12533816452089108, 0.08930517340961255, -0.3624819581249827, -0.18524902039942773, -0.07467762456324539, 0.07757991032175549, -0.11037776315260041, -0.2399759873208639, 0.46352596566277116, 0.08950408051329616, 0.04391067236857979, 0.13297433519098711, 0.2123152288559236, -0.024848455592597785, 0.07287587159754415, 0.07907726394110605, 0.11784607124465861, 0.3320355190650413, -0.17307782982917208, -0.15299951505700224, -0.04412058319308256, 0.22687634447295416] |
711.4149 | Test of weak measurement on a two- or three-qubit computer | Current quantum computer technology is sufficient to realize weak
measurements and the corresponding concept of weak values. We demonstrate how
the weak value anomaly can be tested, along with consistency and simultaneity
of weak values, using only discrete degrees of freedom. All you need is a
quantum computer with two--or better, three--qubits. We also give an
interpretation of the weak value as an effective field strength in a
postselected spin measurement.
| quant-ph | current quantum computer technology is sufficient to realize weak measurements and the corresponding concept of weak values we demonstrate how the weak value anomaly can be tested along with consistency and simultaneity of weak values using only discrete degrees of freedom all you need is a quantum computer with twoor better threequbits we also give an interpretation of the weak value as an effective field strength in a postselected spin measurement | [['current', 'quantum', 'computer', 'technology', 'is', 'sufficient', 'to', 'realize', 'weak', 'measurements', 'and', 'the', 'corresponding', 'concept', 'of', 'weak', 'values', 'we', 'demonstrate', 'how', 'the', 'weak', 'value', 'anomaly', 'can', 'be', 'tested', 'along', 'with', 'consistency', 'and', 'simultaneity', 'of', 'weak', 'values', 'using', 'only', 'discrete', 'degrees', 'of', 'freedom', 'all', 'you', 'need', 'is', 'a', 'quantum', 'computer', 'with', 'twoor', 'better', 'threequbits', 'we', 'also', 'give', 'an', 'interpretation', 'of', 'the', 'weak', 'value', 'as', 'an', 'effective', 'field', 'strength', 'in', 'a', 'postselected', 'spin', 'measurement']] | [-0.15315756638135228, 0.14782824321259147, -0.06603804076273394, 0.048624161807154974, -0.11361604257087622, -0.17369339495365108, 0.016731956617773644, 0.36690030002168245, -0.2603613103340779, -0.3163101488857397, 0.08990811025058584, -0.20487586201301644, -0.09706115602914776, 0.21963002357764969, -0.04705618748973523, 0.04166057873891467, 0.07533299203829041, 0.07783935250980513, -0.10719700719762061, -0.24111234529076941, 0.26557533027870317, 0.07271123722395194, 0.29907876420766116, 0.08592627442308835, 0.11935561027910029, 0.0465310914109328, 0.0643519686169124, 0.08437220506769205, -0.12312592975130039, 0.08864310922633324, 0.22004520029295235, 0.11130958071776799, 0.2652918477409652, -0.4014998555582549, -0.14852545337884554, 0.1232703841424414, 0.06611488414263086, 0.17363921550235578, -0.025293621992958443, -0.32965533346203824, 0.09088225806398051, -0.15099000809048968, -0.14622103364339897, -0.1302409962900648, 0.007839702610259078, -0.00698318831522816, -0.29359438505821994, 0.08010323378340607, 0.02573459053944264, 0.11361916729781245, 0.005430362247196691, -0.06852264159492084, 0.03479786339615073, 0.15136135521877025, 0.009934439684730022, 0.03213519017611231, 0.12567370290468846, -0.17717556908194507, -0.1573680947933878, 0.3388157931946418, -0.10986173820814917, -0.2124416884167918, 0.16608127391664312, -0.1223672558686563, -0.09743215019282486, 0.06042248922479173, 0.09898008528564657, 0.08615216024752174, -0.13609581353541997, 0.07961161236245451, -0.03879234337114862, 0.21503993856853673, 0.012623409048787185, 0.1005672814058406, 0.2444185999621238, 0.08078377060592175, 0.09851860783195922, 0.10584749476817835, -0.07772211042133027, -0.09023139413745541, -0.3622997684254577, -0.1956045147430684, -0.18043375497717143, 0.10116747470040406, -0.08983461670535949, -0.11869803998353226, 0.3544776997129832, 0.2157773142730418, 0.19989987505333764, 0.0125960725891803, 0.28349107120718275, 0.16089125988655723, 0.06403905086585188, 0.015236834609614952, 0.3033022833189794, 0.17994338747646127, 0.09383053722392236, -0.19574435633341117, 0.05002274100801774, 0.044745747458988] |
711.415 | Nonequilibrium effective vector potential due to pseudospin exchange in
graphene | We show that exchange interactions in two-dimensional electron gases out of
equilibrium can generate a fictitious vector potential with intriguing
signatures in interference and Hall measurements. Detailed predictions are made
for graphene, where the effect is enhanced by pseudospin exchange.
| cond-mat.mes-hall | we show that exchange interactions in twodimensional electron gases out of equilibrium can generate a fictitious vector potential with intriguing signatures in interference and hall measurements detailed predictions are made for graphene where the effect is enhanced by pseudospin exchange | [['we', 'show', 'that', 'exchange', 'interactions', 'in', 'twodimensional', 'electron', 'gases', 'out', 'of', 'equilibrium', 'can', 'generate', 'a', 'fictitious', 'vector', 'potential', 'with', 'intriguing', 'signatures', 'in', 'interference', 'and', 'hall', 'measurements', 'detailed', 'predictions', 'are', 'made', 'for', 'graphene', 'where', 'the', 'effect', 'is', 'enhanced', 'by', 'pseudospin', 'exchange']] | [-0.20428960054414347, 0.23042653363663704, -0.06777109499817016, 0.06652706713939552, -0.024952329217921943, -0.21046749291708694, 0.035019061015918854, 0.3893420272041112, -0.27309820111840966, -0.30063790259882806, -0.03481063688523136, -0.36769032729789614, -0.1840188340167515, 0.15501107480376958, 0.08850550053175539, 0.004517661943100393, 0.03911296823062003, -0.07125743483193218, -0.04826915175071918, -0.19230169185902923, 0.2841690759640187, 0.05710397283546627, 0.28217730931937696, 0.13246167222969235, 0.04949835701845586, 0.06688042386667803, 0.029093303112313153, 0.04067097268998623, -0.09929429328276455, 0.01745974156074226, 0.218602947704494, -0.12462868597358465, 0.18438104134984315, -0.4732470156159252, -0.22296832015854307, 0.044126626150682566, 0.16535388402407988, 0.1799244291440118, -0.14350989845115691, -0.28274283385835586, -0.002060288249049336, -0.16574749895371496, -0.10575790939619764, -0.15838842683006077, 0.01414466490969062, -0.0009991801241994835, -0.3393039666581899, 0.08145896032219753, 0.005784385534934699, 0.097571778181009, -0.052770570863503966, -0.10514470196794719, -0.06919824373908341, 0.05852381446165964, 0.007869754376588389, 0.005325772648211569, 0.1619063318474218, -0.1525560939728166, -0.17201797416200862, 0.3845427497290075, -0.14552457882091402, -0.2072415034752339, 0.1786942579492461, -0.18504842221736909, -0.043277144932653756, 0.1085022964514792, 0.13738769846968352, 0.01488701943308115, -0.1673994201410096, 0.04842677363049006, -0.05945899605285376, 0.10685488196322694, -0.004561769962310791, 0.0737599502201192, 0.31818009638227523, 0.11823290856555105, 0.024597864714451134, 0.13569383858703077, -0.09568799760891125, -0.14402611376717686, -0.21678182478062807, -0.1565762420417741, -0.19069831541273743, 0.11335436042863875, -0.003966460213632672, -0.10789815639145672, 0.35773658999241886, 0.19949137043440715, 0.1764031623955816, -0.1299099334748462, 0.2922004857566208, 0.09253174862533342, 0.061780957784503696, -0.0025015186984091997, 0.30690047985408453, 0.1344774891214911, 0.05424898071214557, -0.2516244222060777, 0.05352335911011323, -0.020014517474919558] |
711.4151 | Grid graphs, Gorenstein polytopes, and domino stackings | We examine domino tilings of rectangular boards, which are in natural
bijection with perfect matchings of grid graphs. This leads to the study of
their associated perfect matching polytopes, and we present some of their
properties, in particular, when these polytopes are Gorenstein. We also
introduce the notion of domino stackings and present some results and several
open questions. Our techniques use results from graph theory, polyhedral
geometry, and enumerative combinatorics.
| math.CO | we examine domino tilings of rectangular boards which are in natural bijection with perfect matchings of grid graphs this leads to the study of their associated perfect matching polytopes and we present some of their properties in particular when these polytopes are gorenstein we also introduce the notion of domino stackings and present some results and several open questions our techniques use results from graph theory polyhedral geometry and enumerative combinatorics | [['we', 'examine', 'domino', 'tilings', 'of', 'rectangular', 'boards', 'which', 'are', 'in', 'natural', 'bijection', 'with', 'perfect', 'matchings', 'of', 'grid', 'graphs', 'this', 'leads', 'to', 'the', 'study', 'of', 'their', 'associated', 'perfect', 'matching', 'polytopes', 'and', 'we', 'present', 'some', 'of', 'their', 'properties', 'in', 'particular', 'when', 'these', 'polytopes', 'are', 'gorenstein', 'we', 'also', 'introduce', 'the', 'notion', 'of', 'domino', 'stackings', 'and', 'present', 'some', 'results', 'and', 'several', 'open', 'questions', 'our', 'techniques', 'use', 'results', 'from', 'graph', 'theory', 'polyhedral', 'geometry', 'and', 'enumerative', 'combinatorics']] | [-0.11648451903192195, 0.05755004142476639, -0.04427689766432618, 0.09660057640063878, -0.10609407427812546, -0.11138698338321082, 0.05234507456238211, 0.4324324371581766, -0.3487168444536994, -0.30557925568919786, 0.1491121363426021, -0.30942714487163114, -0.23034848699765936, 0.14254327475595038, -0.21413415489377272, 0.010507249837400208, 0.08057701399116973, -0.027223913628660456, -0.057412692437499344, -0.32162233516057415, 0.35459760329227, -0.023613737122168844, 0.2261474995782048, 0.10092731685915464, 0.05418679171281172, 0.009348879240348305, -0.04761919478925181, 0.07433390262549822, -0.2675860026903765, 0.1969598560449733, 0.28850538583314966, 0.14252238225808342, 0.15488880511674977, -0.46404669832595635, -0.05551653468455057, 0.1318105482299563, 0.10870505761827381, 0.12239914144304069, -0.08288948392679155, -0.2074750433020084, 0.09172478684184837, -0.09948242384887918, -0.12041145131241163, -0.06037936020563816, -0.016617320058211475, 0.08862051406783432, -0.1729409713691599, -0.028322145320281624, 0.12462646251832935, 0.11628459561550596, 0.00857400464576105, -0.15721045589258134, 0.00404098188884976, 0.09056522782021334, -0.0314418505614912, -0.05539480684994077, 0.02093497221686051, -0.11524050050205223, -0.25691355674357064, 0.3872525538121101, 0.09950207981189162, -0.2147068212359724, 0.17481125227477348, -0.1659663445250669, -0.1810092128170523, 0.07759285677539211, 0.1378625509079913, 0.16479924281167102, -0.07832306881929571, 0.12929481142331703, -0.20746371963940247, 0.053362454017165155, 0.17282884890659594, 0.050538668500810444, 0.1915967474940797, 0.10844465875079934, 0.09429600045189891, 0.27521001695143715, 0.006838347211080066, -0.10514573800102087, -0.24918711091011342, -0.09484347694514084, -0.11577364282918648, 0.03603132784983117, -0.18361448425665156, -0.2499314908882682, 0.4087959445330878, 0.15973625002874875, 0.1709169419875867, 0.10018203296193617, 0.21003589876205989, -0.01511950345388548, -0.005199426758876988, 0.0367791249324948, 0.10520317635259552, 0.22424295244240006, 0.021233496741509775, -0.119297396373594, -0.04251503864054004, 0.13626158318784035] |
711.4152 | The Bender method in groups of finite Morley rank | Jaligot's Lemma states that the Fitting subgroups of distinct Borel subgroups
do not intersect in a tame minimal simple groups of finite Morley. Such a
strong result appears hopeless without tameness. Here we use the 0-unipotence
theory to build a toolkit for the analysis of nonabelian intersections of Borel
subgroups. As a demonstration, we show that any connected nilpotent subgroup of
an intersection of Borel subgroups, in a nontame minimal simple group, must
actually be abelian.
| math.GR math.LO | jaligots lemma states that the fitting subgroups of distinct borel subgroups do not intersect in a tame minimal simple groups of finite morley such a strong result appears hopeless without tameness here we use the 0unipotence theory to build a toolkit for the analysis of nonabelian intersections of borel subgroups as a demonstration we show that any connected nilpotent subgroup of an intersection of borel subgroups in a nontame minimal simple group must actually be abelian | [['jaligots', 'lemma', 'states', 'that', 'the', 'fitting', 'subgroups', 'of', 'distinct', 'borel', 'subgroups', 'do', 'not', 'intersect', 'in', 'a', 'tame', 'minimal', 'simple', 'groups', 'of', 'finite', 'morley', 'such', 'a', 'strong', 'result', 'appears', 'hopeless', 'without', 'tameness', 'here', 'we', 'use', 'the', '0unipotence', 'theory', 'to', 'build', 'a', 'toolkit', 'for', 'the', 'analysis', 'of', 'nonabelian', 'intersections', 'of', 'borel', 'subgroups', 'as', 'a', 'demonstration', 'we', 'show', 'that', 'any', 'connected', 'nilpotent', 'subgroup', 'of', 'an', 'intersection', 'of', 'borel', 'subgroups', 'in', 'a', 'nontame', 'minimal', 'simple', 'group', 'must', 'actually', 'be', 'abelian']] | [-0.18540208905314406, 0.11180864050538124, -0.15655572774509588, 0.11418135123948256, -0.15347420987983545, -0.1370401844320198, 0.07565004533001532, 0.37940958893547455, -0.2806958182404439, -0.18676950485756, 0.09802999450204274, -0.24297588526892167, -0.07988716824601094, 0.1795957437173153, -0.19549903894464174, -0.05762535328666369, 0.07210497168203195, 0.09643511408319076, -0.05709062475400666, -0.23067618055890005, 0.3583975645961861, -0.12530130863189698, 0.2613263314279417, 0.06422405987977982, 0.0769561990785102, 0.0008862380683422089, -0.018861202610035738, 0.017859980274612705, -0.11490874461305793, 0.07882511261462545, 0.31858825735747814, 0.09000528226296108, 0.24806533262133598, -0.38311939790224037, -0.17171026732772587, 0.26919795020793874, 0.16280892932166655, 0.03625569048182418, -0.0686972517396013, -0.2518953199948495, 0.12148451001693805, -0.23548793621361255, -0.22480441550413768, -0.09705076043125398, 0.05667091743399699, -0.042409000247716905, -0.1997457224316895, -0.003449664202829202, 0.1366741666694482, 0.18325641348958016, 8.001234382390976e-05, -0.028991462547370853, -0.06459307520339887, 0.11779475935424367, -0.023107494165500005, -0.0018820865203936896, 0.08723965936650832, -0.056258227800329526, -0.18912798570469022, 0.41922089871640006, -0.08441624167064826, -0.20727472186709445, 0.17773052102575698, -0.18244840264320372, -0.24119928312798342, 0.09410576567053795, 0.08498598250250021, 0.14751327245496212, -0.04894776041309039, 0.18895946257592489, -0.1917849238961935, 0.1030064529987673, 0.05381760414689779, -0.0394202512394016, 0.11096125531941653, 0.0742319261468947, 0.08869585627379517, 0.08871962567810746, 0.1099743215739727, 0.08218244092538952, -0.42079812129338584, -0.1709637556473414, -0.11444624366859595, 0.1299926187643238, -0.09289855251399179, -0.26340782789203027, 0.41368106557056306, 0.07392223267505567, 0.10449479655673106, 0.13357317799081406, 0.21452176133791606, 0.0003117621767645081, 0.10740304955591758, 0.0963091259325544, 0.08566737381120523, 0.2034782698005438, -0.21833980582654477, -0.14266585419575373, -0.031805885607997575, 0.18314208823566636] |
711.4153 | Anomalous Single Production of the Fourth Generation Neutrino at Future
ep Colliders | Possible single productions of the fourth standard model generation neutrino
via anomalous interactions at the future ep colliders are studied. Signatures
of such anomalous processes and backgrounds are discussed in detail. Discovery
limits for neutrino mass and achievable values of anomalous coupling strength
are determined.
| hep-ph | possible single productions of the fourth standard model generation neutrino via anomalous interactions at the future ep colliders are studied signatures of such anomalous processes and backgrounds are discussed in detail discovery limits for neutrino mass and achievable values of anomalous coupling strength are determined | [['possible', 'single', 'productions', 'of', 'the', 'fourth', 'standard', 'model', 'generation', 'neutrino', 'via', 'anomalous', 'interactions', 'at', 'the', 'future', 'ep', 'colliders', 'are', 'studied', 'signatures', 'of', 'such', 'anomalous', 'processes', 'and', 'backgrounds', 'are', 'discussed', 'in', 'detail', 'discovery', 'limits', 'for', 'neutrino', 'mass', 'and', 'achievable', 'values', 'of', 'anomalous', 'coupling', 'strength', 'are', 'determined']] | [-0.15295668995628756, 0.2621138109929032, 0.08475565992476833, 0.20046667489740583, -0.05399199769728714, -0.15330958639581999, 0.0224390489100996, 0.3414475604891777, -0.2394880352334844, -0.28801719253468844, 0.07796949624963519, -0.349223417436911, -0.06085352128785518, 0.23418400073941384, 0.15843479361178148, 0.06896645376853283, 0.01905375766671366, 0.026755911722365352, -0.05336381857309284, -0.21306002920286524, 0.2865816568541858, 0.10810830742120743, 0.2712576097912259, 0.11723628187966016, 0.0940012025129464, -0.025963865054978264, -0.0856674015832444, -0.058890589885413645, -0.10841519267544047, 0.053490526953505146, 0.18665269613265992, 0.04414581056270334, 0.04103170838207006, -0.3526801568352514, -0.1743960288663705, 0.15131271874739063, 0.15971776499516435, 0.06575495946324533, -0.11351083972387843, -0.2927101984620094, 0.0262983504928545, -0.20762348249554635, -0.1623238907299108, -0.06842253737979465, 0.0037265122971600955, 0.0005229437516795265, -0.32377907306783726, 0.10865008512304888, -0.0505821224509014, 0.015636494010686876, -0.005208517476502392, -0.186041062263151, -0.03781967375220524, 0.07700776629563835, 0.13243839057524584, -0.08141445184333457, 0.16390969801771765, -0.21289215106517076, -0.25252967074306476, 0.383176123826868, -0.1230353724418415, -0.14339018264565515, 0.19418771407670446, -0.23979242427481545, -0.1572602251648075, 0.13145814629064667, 0.23870614079965485, 0.05856489084867968, -0.23842333054376974, 0.15759811632645626, 0.07108743699888388, 0.03261974687791533, 0.048900946881622075, 0.11987152708073458, 0.29622361607228714, 0.2752139901742339, -0.04860893872876962, -0.00853627250633306, -0.1356263942292167, -0.02725564703060728, -0.39259299263358116, -0.07783049811195168, -0.08075118644369973, -0.000254608690738678, -0.04213845737006826, -0.06293484348182878, 0.34839819018832513, 0.17667111361192334, 0.19671970622407065, -0.04117727492832475, 0.2698240783117298, 0.1579149342659447, 0.055661977630936436, -0.01865195749948422, 0.40696482374850246, 0.1412057948195272, 0.10091983473135366, -0.22854692273669772, 0.08126250802435808, 0.06121635067069696] |
711.4154 | Skyrmion versus vortex flux lattices in p-wave superconductors | p-wave superconductors allow for topological defects known as skyrmions, in
addition to the usual vortices that are possible in both s-wave and p-wave
materials. In strongly type-II superconductors in a magnetic field, a skyrmion
flux lattice yields a lower free energy than the Abrikosov flux lattice of
vortices, and should thus be realized in p-wave superconductors. We
analytically calculate the energy per skyrmion, which agrees very well with
numerical results. From this, we obtain the magnetic induction B as a function
of the external magnetic field H, and the elastic constants of the skyrmion
lattice, near the lower critical field H_c1. Together with the Lindemann
criterion, these results suffice to predict the melting curve of the skyrmion
lattice. We find a striking difference in the melting curves of vortex lattices
and skyrmion lattices: while the former is separated at all temperatures from
the Meissner phase by a vortex liquid phase, the skyrmion lattice phase shares
a direct boundary with the Meissner phase. That is, skyrmions lattices never
melt near Hc1, while vortex lattices always melt sufficiently close to Hc1.
This allows for a very simple test for the existence of a skyrmion lattice.
Possible muSR experiments to detect skyrmion lattices are also discussed.
| cond-mat.supr-con | pwave superconductors allow for topological defects known as skyrmions in addition to the usual vortices that are possible in both swave and pwave materials in strongly typeii superconductors in a magnetic field a skyrmion flux lattice yields a lower free energy than the abrikosov flux lattice of vortices and should thus be realized in pwave superconductors we analytically calculate the energy per skyrmion which agrees very well with numerical results from this we obtain the magnetic induction b as a function of the external magnetic field h and the elastic constants of the skyrmion lattice near the lower critical field h_c1 together with the lindemann criterion these results suffice to predict the melting curve of the skyrmion lattice we find a striking difference in the melting curves of vortex lattices and skyrmion lattices while the former is separated at all temperatures from the meissner phase by a vortex liquid phase the skyrmion lattice phase shares a direct boundary with the meissner phase that is skyrmions lattices never melt near hc1 while vortex lattices always melt sufficiently close to hc1 this allows for a very simple test for the existence of a skyrmion lattice possible musr experiments to detect skyrmion lattices are also discussed | [['pwave', 'superconductors', 'allow', 'for', 'topological', 'defects', 'known', 'as', 'skyrmions', 'in', 'addition', 'to', 'the', 'usual', 'vortices', 'that', 'are', 'possible', 'in', 'both', 'swave', 'and', 'pwave', 'materials', 'in', 'strongly', 'typeii', 'superconductors', 'in', 'a', 'magnetic', 'field', 'a', 'skyrmion', 'flux', 'lattice', 'yields', 'a', 'lower', 'free', 'energy', 'than', 'the', 'abrikosov', 'flux', 'lattice', 'of', 'vortices', 'and', 'should', 'thus', 'be', 'realized', 'in', 'pwave', 'superconductors', 'we', 'analytically', 'calculate', 'the', 'energy', 'per', 'skyrmion', 'which', 'agrees', 'very', 'well', 'with', 'numerical', 'results', 'from', 'this', 'we', 'obtain', 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'simple', 'test', 'for', 'the', 'existence', 'of', 'a', 'skyrmion', 'lattice', 'possible', 'musr', 'experiments', 'to', 'detect', 'skyrmion', 'lattices', 'are', 'also', 'discussed']] | [-0.1910735348234093, 0.26510007139249464, -0.08476442999201896, 0.0630873928518663, -0.09297104719154574, -0.14686444675403054, 0.12694625760511188, 0.38248878672462083, -0.22197260131389637, -0.2312314058860461, 0.05450804159618694, -0.27011323384225217, -0.0617202853673858, 0.19005048415609843, 0.045956595053006276, 0.054375512835115485, -0.03720363936492522, 0.05462378326756421, -0.09623970899081748, -0.2568707736530181, 0.2780058245757237, -0.038020772781461626, 0.32896771856349677, 0.1011805541083914, 0.00911793446284002, -0.05238872419714726, 0.14191141691324966, 0.06401182704013336, -0.22956075432649847, 0.03796394728697616, 0.21095985145275964, -0.12509188220694, 0.09104114711018545, -0.449754189952217, -0.21870891664067071, 0.06980660481990907, 0.1701093140044456, 0.2048405331812955, 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711.4155 | The Expressional Limits of Formal Languages in the Notion of Observation | In this article I deal with the notion of observation in the most fundamental
sense and its representation by means of formal languages serving as
expressional tools of formal-axiomatical theories. In doing so, I have taken
this notion in two diverse contexts. In the first as an epistemic notion that
refers to its interpretation in a formal mathematical environment and then to
its interpretation in a quantum mechanical environment. The second context in
which I tried to approach the notion of observation is that of a
phenomenological constitution basically as it is described in E. Husserl's
original works. Assuming that in phenomenological constitution mathematical
objects are special cases of perceptual objects including consequently objects
of a quantum mechanical measurement, the question is to inquire on the limits
of their description in the language of a formal-axiomatical theory. On one
hand, I derive an irreducibility on the level of observables as indecomposable
atoms without any further syntactical content in formal representation and on
the other a transcendence of a continuous substratum self-constituted as a kind
of impredicative synthetic unity on which to define an observational frame and
generate a predicative universe of discourse.
| quant-ph | in this article i deal with the notion of observation in the most fundamental sense and its representation by means of formal languages serving as expressional tools of formalaxiomatical theories in doing so i have taken this notion in two diverse contexts in the first as an epistemic notion that refers to its interpretation in a formal mathematical environment and then to its interpretation in a quantum mechanical environment the second context in which i tried to approach the notion of observation is that of a phenomenological constitution basically as it is described in e husserls original works assuming that in phenomenological constitution mathematical objects are special cases of perceptual objects including consequently objects of a quantum mechanical measurement the question is to inquire on the limits of their description in the language of a formalaxiomatical theory on one hand i derive an irreducibility on the level of observables as indecomposable atoms without any further syntactical content in formal representation and on the other a transcendence of a continuous substratum selfconstituted as a kind of impredicative synthetic unity on which to define an observational frame and generate a predicative universe of discourse | [['in', 'this', 'article', 'i', 'deal', 'with', 'the', 'notion', 'of', 'observation', 'in', 'the', 'most', 'fundamental', 'sense', 'and', 'its', 'representation', 'by', 'means', 'of', 'formal', 'languages', 'serving', 'as', 'expressional', 'tools', 'of', 'formalaxiomatical', 'theories', 'in', 'doing', 'so', 'i', 'have', 'taken', 'this', 'notion', 'in', 'two', 'diverse', 'contexts', 'in', 'the', 'first', 'as', 'an', 'epistemic', 'notion', 'that', 'refers', 'to', 'its', 'interpretation', 'in', 'a', 'formal', 'mathematical', 'environment', 'and', 'then', 'to', 'its', 'interpretation', 'in', 'a', 'quantum', 'mechanical', 'environment', 'the', 'second', 'context', 'in', 'which', 'i', 'tried', 'to', 'approach', 'the', 'notion', 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'an', 'observational', 'frame', 'and', 'generate', 'a', 'predicative', 'universe', 'of', 'discourse']] | [-0.08416255061379065, 0.062062606403336024, -0.12072857225560236, 0.06957832656917162, -0.11648145740098775, -0.10464266621745488, 0.05083944439637832, 0.3215326182692847, -0.2802835867085068, -0.28957010182413334, 0.058164641273485376, -0.2428846396939294, -0.14300238869571408, 0.17612509378058677, -0.1316446961706227, -0.011528624197222946, 0.01967745983200346, 0.10154732582258418, -0.03940810951864981, -0.21061569846302092, 0.3415587980094604, 0.03836775610367074, 0.2469929893853445, 0.011184461615444657, 0.1230831617319014, -0.010424763932725059, -0.055182460658351314, 0.026794080463419728, -0.1071622152855738, 0.1500024966687519, 0.27507776796243133, 0.2051285076552031, 0.28948238877421045, -0.4174188345006885, -0.19091160365930224, 0.07063346265002768, 0.10193478136925284, 0.10224283629151537, 0.0003689320930131176, -0.28557919000741094, 0.05963272508976862, 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711.4156 | Comparative Analysis of Transversities and Longitudinally Polarized
Distributions of the Nucleon | We carry out a comparative analysis of the transversities and the
longitudinally polarized parton distribution functions in light of the first
empirical extraction of the transversity distributions recently done by
Anselmino et al. It is shown that the precise determination of the isoscalar
tensor charge, which is defined as the 1st moment of the isoscalar combination
of the transversity distributions, is of fundamental importance for clarifying
the internal spin structure function of the nucleon.
| hep-ph hep-ex nucl-ex | we carry out a comparative analysis of the transversities and the longitudinally polarized parton distribution functions in light of the first empirical extraction of the transversity distributions recently done by anselmino et al it is shown that the precise determination of the isoscalar tensor charge which is defined as the 1st moment of the isoscalar combination of the transversity distributions is of fundamental importance for clarifying the internal spin structure function of the nucleon | [['we', 'carry', 'out', 'a', 'comparative', 'analysis', 'of', 'the', 'transversities', 'and', 'the', 'longitudinally', 'polarized', 'parton', 'distribution', 'functions', 'in', 'light', 'of', 'the', 'first', 'empirical', 'extraction', 'of', 'the', 'transversity', 'distributions', 'recently', 'done', 'by', 'anselmino', 'et', 'al', 'it', 'is', 'shown', 'that', 'the', 'precise', 'determination', 'of', 'the', 'isoscalar', 'tensor', 'charge', 'which', 'is', 'defined', 'as', 'the', '1st', 'moment', 'of', 'the', 'isoscalar', 'combination', 'of', 'the', 'transversity', 'distributions', 'is', 'of', 'fundamental', 'importance', 'for', 'clarifying', 'the', 'internal', 'spin', 'structure', 'function', 'of', 'the', 'nucleon']] | [-0.08611954380113103, 0.15597852890228703, -0.15184458594366507, 0.08784007369556364, -0.06449385353590588, 0.016282961722715077, 0.0356364671331264, 0.3433789657177152, -0.19081049750408008, -0.25755486853823467, -0.03875880694878917, -0.2728490605698647, -0.0933060543559534, 0.11665544081856874, 0.08332884514301613, 0.08840005863080355, 0.019714324587226117, -0.013306487603364763, -0.07829287430158237, -0.18807323783245944, 0.38898710609489195, 0.10056748426192112, 0.31375718089072285, 0.1355783418261421, 0.08598303681591878, 0.09995634216230011, -0.13244851930947923, -0.09169174365799974, -0.09233275015346432, 0.13660508166602184, 0.1962097604673299, 0.09434495668707264, 0.1513031337605286, -0.34954406781675845, -0.16492405773543223, 0.07107809324893546, 0.11998228326037123, 0.0877262824671217, 0.010072024136378959, -0.2865767156755602, 0.049570378725498764, -0.20756454115129402, -0.163212786661461, -0.14373151377799945, 0.057938070909585804, 0.06136144657392759, -0.2917271943525348, 0.08786708715598325, 0.06190790673969565, 0.05521941383847514, -0.027531415035293716, -0.26521824700191515, -0.08826755769424946, 0.11038632427241553, 0.09519613240027448, 0.10350464573885138, 0.10385429047400484, -0.14037429045483069, -0.10873575306598197, 0.34321826148929224, -0.009397423524107482, -0.21692087744186456, 0.0421359769817492, -0.1973618496322652, -0.1417354414793285, 0.06848937768891857, 0.15201460134640737, 0.13713352914547194, -0.1758663618466754, 0.07379960968407702, -0.07771983310404057, 0.15433375895372592, 0.09578457051837766, 0.0177884229672821, 0.2135442583192442, 0.18473822400728995, 0.0021575763821601868, 0.08954936824267025, -0.1285797149490414, -0.10355833527471593, -0.3258687939771728, -0.13560816388525307, -0.22359561782198129, 0.06143235201425095, -0.050598047667212875, -0.13647349226733707, 0.4318300574212461, 0.06652935537056544, 0.20219921202452323, -0.054236973911158844, 0.3013570189878747, 0.12184239916245428, 0.05537652659758523, 0.037774723683911805, 0.273063288249604, 0.25451777260624675, 0.11002075433026294, -0.25188024080282934, 0.08940285580182397, 0.051618939957807995] |
711.4157 | Selective Synthesis Combined with Chemical Separation of Single-Walled
Carbon Nanotubes for Chirality Selection | Single-walled carbon nanotubes (SWNTs) are potential materials for future
nanoelectronics. Since the electronic and optical properties of SWNTs strongly
depend on tube diameter and chirality, obtaining SWNTs with narrow (n,m)
chirality distribution by selective growth or chemical separation has been an
active area of research. Here, we demonstrate that a new, bimetallic FeRu
catalyst affords SWNT growth with narrow diameter and chirality distribution in
methane CVD. At 600C, methane CVD on FeRu catalyst produced predominantly (6,5)
SWNTs according to Uv-vis-NIR absorption and photoluminescence
excitation/emission (PLE) spectroscopic characterization. At 850C, the dominant
semiconducting species produced are (8,4), (7,6) and (7,5) SWNTs, with much
narrower distributions in diameter and chirality than materials grown by other
catalysts. Further, we show that narrow-diameter/chirality growth combined with
chemical separation by ion exchange chromatography (IEC) greatly facilitate
achieving single-(m,n) SWNT samples, as demonstrated by obtaining highly
enriched (8,4) SWNTs with near elimination of metallic SWNTs existing in the
as-grown material.
| cond-mat.mtrl-sci | singlewalled carbon nanotubes swnts are potential materials for future nanoelectronics since the electronic and optical properties of swnts strongly depend on tube diameter and chirality obtaining swnts with narrow nm chirality distribution by selective growth or chemical separation has been an active area of research here we demonstrate that a new bimetallic feru catalyst affords swnt growth with narrow diameter and chirality distribution in methane cvd at 600c methane cvd on feru catalyst produced predominantly 65 swnts according to uvvisnir absorption and photoluminescence excitationemission ple spectroscopic characterization at 850c the dominant semiconducting species produced are 84 76 and 75 swnts with much narrower distributions in diameter and chirality than materials grown by other catalysts further we show that narrowdiameterchirality growth combined with chemical separation by ion exchange chromatography iec greatly facilitate achieving singlemn swnt samples as demonstrated by obtaining highly enriched 84 swnts with near elimination of metallic swnts existing in the asgrown material | [['singlewalled', 'carbon', 'nanotubes', 'swnts', 'are', 'potential', 'materials', 'for', 'future', 'nanoelectronics', 'since', 'the', 'electronic', 'and', 'optical', 'properties', 'of', 'swnts', 'strongly', 'depend', 'on', 'tube', 'diameter', 'and', 'chirality', 'obtaining', 'swnts', 'with', 'narrow', 'nm', 'chirality', 'distribution', 'by', 'selective', 'growth', 'or', 'chemical', 'separation', 'has', 'been', 'an', 'active', 'area', 'of', 'research', 'here', 'we', 'demonstrate', 'that', 'a', 'new', 'bimetallic', 'feru', 'catalyst', 'affords', 'swnt', 'growth', 'with', 'narrow', 'diameter', 'and', 'chirality', 'distribution', 'in', 'methane', 'cvd', 'at', '600c', 'methane', 'cvd', 'on', 'feru', 'catalyst', 'produced', 'predominantly', '65', 'swnts', 'according', 'to', 'uvvisnir', 'absorption', 'and', 'photoluminescence', 'excitationemission', 'ple', 'spectroscopic', 'characterization', 'at', '850c', 'the', 'dominant', 'semiconducting', 'species', 'produced', 'are', '84', '76', 'and', '75', 'swnts', 'with', 'much', 'narrower', 'distributions', 'in', 'diameter', 'and', 'chirality', 'than', 'materials', 'grown', 'by', 'other', 'catalysts', 'further', 'we', 'show', 'that', 'narrowdiameterchirality', 'growth', 'combined', 'with', 'chemical', 'separation', 'by', 'ion', 'exchange', 'chromatography', 'iec', 'greatly', 'facilitate', 'achieving', 'singlemn', 'swnt', 'samples', 'as', 'demonstrated', 'by', 'obtaining', 'highly', 'enriched', '84', 'swnts', 'with', 'near', 'elimination', 'of', 'metallic', 'swnts', 'existing', 'in', 'the', 'asgrown', 'material']] | [-0.039691270598651546, 0.20033594538654143, 0.016411181257449482, -0.14029022935152935, 0.01523532165600428, -0.1985738951633194, 0.1001255261546344, 0.5416338086483607, -0.2146810197246898, -0.32114603987122936, 0.012767389092723055, -0.32324597661040333, -0.072669375657202, 0.16527551986234212, 0.010641321881465908, 0.016456024186529822, 0.07479220938349547, -0.15839134000462332, 0.025602073083925796, -0.18844324016428896, 0.16423788764912292, 0.06551665401907246, 0.3875499205130741, 0.1510445449752488, 0.03266038187767232, -0.01707140950633115, 0.05846705975464398, -0.0003585205555569509, -0.1678623020266777, 0.14455584106862693, 0.22635810669070403, -0.07146345338275607, 0.1949685730076836, -0.44159717984707403, -0.23195693058598982, 0.00912895652551302, 0.18299939038383614, 0.09824485729270811, -0.12100645451420478, -0.2355372605134586, 0.10479889745712219, -0.09018534707751028, -0.1235970368694612, -0.027511244272126964, 0.02909344545026359, 0.03640586853074829, -0.19072491084654375, 0.08398834376681694, -0.007638570964397667, 0.15141474989535422, -0.12014046928992397, -0.23120941249898783, -0.1350019458791633, 0.017207548131026623, 0.0017971519386935, -0.023040234275149965, 0.3374373212714808, -0.10467462820736871, -0.08402261890679304, 0.3499483381502183, -0.07972794699708174, -0.046425311807788125, 0.2105448712888909, -0.15617875613411583, -0.039823941036286815, 0.24366973623278013, 0.08196768265732221, 0.14906829703403146, -0.19384048493827177, -0.013423477364612106, 0.04420635823503529, 0.19717635135568917, 0.17319706077442357, 0.11590002325216406, 0.24212789754873434, 0.26759067901232475, 0.026340225081137186, 0.11801324213143073, -0.1167301673129642, 0.03200376484164735, -0.09091415389220377, -0.254188664288162, -0.18504169299022147, 0.1272575682791955, -0.09538392184894244, -0.192318353039139, 0.35547911830393497, 0.03109078034092243, 0.1472579302315257, -0.01622410929810844, 0.20377447800159357, -0.01573177882068864, 0.15819755336729271, -0.050580772583519944, 0.2838453086656763, 0.20124813454152135, 0.15024337338859609, -0.2321981262273192, 0.12375623986774467, -0.052353932310851586] |
711.4158 | Broad iron K-alpha emission lines as a diagnostic of black hole spin | We address the ability of broad iron emission lines from black hole accretion
disks to diagnose the spin of the black hole. Using a high-resolution
3-dimensional MHD simulation of a geometrically-thin accretion disk in a
Pseudo-Newtonian potential, we show that both the midplane density and the
vertical column density of the accretion flow drop dramatically over a narrow
range of radii close to the innermost stable circular orbit (ISCO). We argue
that this drop of density is accompanied by a sharp increase in the ionization
parameter of the X-ray photosphere, and that the resulting imprint of the ISCO
on the X-ray reflection spectrum can be used to constrain spin. Motivated by
this simulation, we construct a simplified toy-model of the accretion flow
within the ISCO of a Kerr black hole, and use this model to estimate the
systematic error on inferred black hole spin that may result from slight
bleeding of the iron line emission to the region inside of the ISCO. We find
that these systematic errors can be significant for slowly spinning black holes
but become appreciably smaller as one considers more rapidly rotating black
holes.
| astro-ph | we address the ability of broad iron emission lines from black hole accretion disks to diagnose the spin of the black hole using a highresolution 3dimensional mhd simulation of a geometricallythin accretion disk in a pseudonewtonian potential we show that both the midplane density and the vertical column density of the accretion flow drop dramatically over a narrow range of radii close to the innermost stable circular orbit isco we argue that this drop of density is accompanied by a sharp increase in the ionization parameter of the xray photosphere and that the resulting imprint of the isco on the xray reflection spectrum can be used to constrain spin motivated by this simulation we construct a simplified toymodel of the accretion flow within the isco of a kerr black hole and use this model to estimate the systematic error on inferred black hole spin that may result from slight bleeding of the iron line emission to the region inside of the isco we find that these systematic errors can be significant for slowly spinning black holes but become appreciably smaller as one considers more rapidly rotating black holes | [['we', 'address', 'the', 'ability', 'of', 'broad', 'iron', 'emission', 'lines', 'from', 'black', 'hole', 'accretion', 'disks', 'to', 'diagnose', 'the', 'spin', 'of', 'the', 'black', 'hole', 'using', 'a', 'highresolution', '3dimensional', 'mhd', 'simulation', 'of', 'a', 'geometricallythin', 'accretion', 'disk', 'in', 'a', 'pseudonewtonian', 'potential', 'we', 'show', 'that', 'both', 'the', 'midplane', 'density', 'and', 'the', 'vertical', 'column', 'density', 'of', 'the', 'accretion', 'flow', 'drop', 'dramatically', 'over', 'a', 'narrow', 'range', 'of', 'radii', 'close', 'to', 'the', 'innermost', 'stable', 'circular', 'orbit', 'isco', 'we', 'argue', 'that', 'this', 'drop', 'of', 'density', 'is', 'accompanied', 'by', 'a', 'sharp', 'increase', 'in', 'the', 'ionization', 'parameter', 'of', 'the', 'xray', 'photosphere', 'and', 'that', 'the', 'resulting', 'imprint', 'of', 'the', 'isco', 'on', 'the', 'xray', 'reflection', 'spectrum', 'can', 'be', 'used', 'to', 'constrain', 'spin', 'motivated', 'by', 'this', 'simulation', 'we', 'construct', 'a', 'simplified', 'toymodel', 'of', 'the', 'accretion', 'flow', 'within', 'the', 'isco', 'of', 'a', 'kerr', 'black', 'hole', 'and', 'use', 'this', 'model', 'to', 'estimate', 'the', 'systematic', 'error', 'on', 'inferred', 'black', 'hole', 'spin', 'that', 'may', 'result', 'from', 'slight', 'bleeding', 'of', 'the', 'iron', 'line', 'emission', 'to', 'the', 'region', 'inside', 'of', 'the', 'isco', 'we', 'find', 'that', 'these', 'systematic', 'errors', 'can', 'be', 'significant', 'for', 'slowly', 'spinning', 'black', 'holes', 'but', 'become', 'appreciably', 'smaller', 'as', 'one', 'considers', 'more', 'rapidly', 'rotating', 'black', 'holes']] | [-0.10285490000449576, 0.09724079467668297, -0.05547735658771497, 0.10130373179105091, -0.06517295343206918, -0.09747433117244075, 0.028725607186912538, 0.36779860200043374, -0.20604136258740216, -0.3079556288554313, 0.08403789237305086, -0.2826899472132395, -0.020885551003107624, 0.23044638224862554, -0.05553576930570342, 0.036079168141363784, 0.027732595035984638, -0.05141710575194435, -0.11872461185409153, -0.14695119927761124, 0.33576136003149315, 0.10864153632676189, 0.16045536012685996, 0.012214340418180886, 0.0322926018456433, -0.034534930519046304, 0.027500011814520397, 0.06717871691774022, -0.18037516271490064, 0.07330013919829767, 0.207202569352453, 0.0963493944529662, 0.19648493338931114, -0.4110350722120084, -0.2698548757712644, 0.03774117763927318, 0.1910730836355063, 0.1440620377679613, -0.09568480040205883, -0.2249809400911661, 0.07474431110607296, -0.29115658516975795, -0.17011050408844777, 0.0024827605050225603, 0.059841674752533436, -0.02321871928870678, -0.20459405111862308, 0.12745579040146116, 0.1051746122650505, -0.039180266637444255, -0.10594902634608282, -0.013322153679798655, -0.0970780016170775, 0.05663356236479384, 0.12636801171515316, 0.04071268518368634, 0.2706513131815108, -0.0845808125267506, -0.05151146603376664, 0.3531898562003799, -0.08623695971959448, -0.10253708066289967, 0.1683406732961575, -0.3014816511063242, -0.0792966321249433, 0.20461533386062117, 0.19421567757455435, 0.186263181011569, -0.075594560000451, 0.02590951681950754, -0.03987637931478527, 0.23854987207364212, 0.09762410610106755, -0.005217847422983973, 0.4279878166519066, 0.11358368157983777, 0.04328676265419183, 0.14701461944106145, -0.19408466749666062, -0.05398824295162798, -0.23260915083216227, -0.10473869072441805, -0.1272173063232603, 0.10263441247058082, -0.14334276270226914, -0.19421737015177992, 0.3540889311995496, 0.142877707973078, 0.23935959876039403, -0.0004336088326105729, 0.2939328194735278, 0.10436476820998111, 0.03864467386255398, 0.14386636414317452, 0.35484612853132547, 0.1451840362675052, 0.10994135201202725, -0.291899740993184, 0.014717705592394192, 0.038843587812462305] |
711.4159 | Control of superluminal transit through a heterogeneous medium | We consider pulse propagation through a two component composite medium (metal
inclusions in a dielectric host) with or without cavity mirrors. We show that a
very thin slab of such a medium, under conditions of localized plasmon
resonance, can lead to significant superluminality with detectable levels of
transmitted pulse. A cavity containing the heterogeneous medium is shown to
lead to subluminal-to-superluminal transmission depending on the volume
fraction of the metal inclusions. The predictions of phase time calculations
are verified by explicit calculations of the transmitted pulse shapes. We also
demonstrate the independence of the phase time on system width and the volume
fraction under specific conditions.
| physics.optics | we consider pulse propagation through a two component composite medium metal inclusions in a dielectric host with or without cavity mirrors we show that a very thin slab of such a medium under conditions of localized plasmon resonance can lead to significant superluminality with detectable levels of transmitted pulse a cavity containing the heterogeneous medium is shown to lead to subluminaltosuperluminal transmission depending on the volume fraction of the metal inclusions the predictions of phase time calculations are verified by explicit calculations of the transmitted pulse shapes we also demonstrate the independence of the phase time on system width and the volume fraction under specific conditions | [['we', 'consider', 'pulse', 'propagation', 'through', 'a', 'two', 'component', 'composite', 'medium', 'metal', 'inclusions', 'in', 'a', 'dielectric', 'host', 'with', 'or', 'without', 'cavity', 'mirrors', 'we', 'show', 'that', 'a', 'very', 'thin', 'slab', 'of', 'such', 'a', 'medium', 'under', 'conditions', 'of', 'localized', 'plasmon', 'resonance', 'can', 'lead', 'to', 'significant', 'superluminality', 'with', 'detectable', 'levels', 'of', 'transmitted', 'pulse', 'a', 'cavity', 'containing', 'the', 'heterogeneous', 'medium', 'is', 'shown', 'to', 'lead', 'to', 'subluminaltosuperluminal', 'transmission', 'depending', 'on', 'the', 'volume', 'fraction', 'of', 'the', 'metal', 'inclusions', 'the', 'predictions', 'of', 'phase', 'time', 'calculations', 'are', 'verified', 'by', 'explicit', 'calculations', 'of', 'the', 'transmitted', 'pulse', 'shapes', 'we', 'also', 'demonstrate', 'the', 'independence', 'of', 'the', 'phase', 'time', 'on', 'system', 'width', 'and', 'the', 'volume', 'fraction', 'under', 'specific', 'conditions']] | [-0.1847087621766453, 0.17210006518067703, -0.058563042256892434, -0.011919018842412957, -0.02044165544877095, -0.11424818638091286, 0.06584878553514413, 0.47646126818089257, -0.2202683589642956, -0.28982333247771574, 0.062026039385680284, -0.2713801384526527, -0.09960131747426376, 0.18345635366803478, -0.011091774271889811, 0.02910480791081985, 0.0521337738083232, -0.006493122403376869, -0.053608216888581715, -0.18248406168339507, 0.3061570127095495, 0.017011385393284617, 0.28080540754433186, 0.08072947002836459, 0.07953327159796442, -0.01805255455408423, 0.030784926567936226, 0.03885185350442216, -0.10640206998914004, 0.0410606909809368, 0.19618896599858998, 0.01862823964052257, 0.21947986196194377, -0.5081496934273413, -0.23857091649607312, 0.06278204021620609, 0.13323979638073416, 0.1309125057510322, -0.10042691967627478, -0.28209000045344945, 0.03753413913904556, -0.12419032491521821, -0.1632360191306188, 0.0014285724343998092, -0.04447424796720346, 0.03887786233708972, -0.26549995964492806, 0.07766467152978293, 0.012277118923763434, 0.011909550706539969, -0.056270653501685176, -0.055144001608936205, -0.03497068259332861, 0.04617271045267227, 0.029137285318713457, -0.06092062266100021, 0.18908575583870213, -0.12955746866230453, -0.0037832475045607205, 0.3970266065782025, -0.09710311545280828, -0.16740847320428917, 0.16945197883594249, -0.19823094608700126, 0.013912759246748119, 0.2238157075630235, 0.21206911722242477, 0.08593168661353134, -0.11145690478816894, 0.0013883987170023222, -0.03189767891807216, 0.2756631132947015, 0.11009737957002862, 0.074784034060403, 0.21202815453566257, 0.16535185655312878, 0.01133645386656835, 0.17916629208761845, -0.09224101762686457, -0.030254000454165396, -0.288330838013263, -0.14680164818779476, -0.15115589673320454, 0.03806089086546784, -0.10760025025908058, -0.20745485637952307, 0.3807841883972287, 0.08376017433959836, 0.17605944356127154, 0.0064136941606799764, 0.279954108631327, 0.12554518402820186, 0.06337676438547316, 0.02521295563229138, 0.26748452028703124, 0.16864644044433677, 0.0628806871851252, -0.2622520724621912, 0.08823942484866296, -0.017453995466764485] |
711.416 | Two Coefficients of the Dyson Product | In this paper, the closed-form expressions for the coefficients of
$\frac{x_r^2}{x_s^2}$ and $\frac{x_r^2}{x_sx_t}$ in the Dyson product are found
by applying an extension of Good's idea. As onsequences, we find several
interesting Dyson style constant term identities.
| math.CO math.AC | in this paper the closedform expressions for the coefficients of fracx_r2x_s2 and fracx_r2x_sx_t in the dyson product are found by applying an extension of goods idea as onsequences we find several interesting dyson style constant term identities | [['in', 'this', 'paper', 'the', 'closedform', 'expressions', 'for', 'the', 'coefficients', 'of', 'fracx_r2x_s2', 'and', 'fracx_r2x_sx_t', 'in', 'the', 'dyson', 'product', 'are', 'found', 'by', 'applying', 'an', 'extension', 'of', 'goods', 'idea', 'as', 'onsequences', 'we', 'find', 'several', 'interesting', 'dyson', 'style', 'constant', 'term', 'identities']] | [-0.09708983418257798, 0.04615791828537647, -0.0666433983372853, 0.07612269578213968, -0.08710792901761391, -0.10273928019930334, 0.023381426139488157, 0.33752413463833575, -0.2720293521004565, -0.28816024712560806, 0.09593918153276558, -0.26088746396057744, -0.2766297181301257, 0.19269478238899918, -0.0407947224277236, -0.011834760936086668, -0.0314417005626156, 0.024696773438550094, -0.05527478531824753, -0.2579672537634478, 0.3411465284469373, 0.01828379271661534, 0.24106976129662464, 0.06663680319016908, 0.14331399389159152, 0.030092975001453477, -0.10902001615613699, -0.03318326421739424, -0.15054901068181017, 0.11901099173187771, 0.22711012834299574, 0.07290845827254303, 0.28815230942221687, -0.39986838200403485, -0.0989019324838677, 0.036678871427498316, 0.19989884118823445, 0.08475147801287033, -0.07090633302269612, -0.2279908310293275, 0.014013561228399767, -0.26125104122740384, -0.16631723892436745, -0.11469359421993003, 0.048269679413779694, 0.03501614906332072, -0.31206240855595646, 0.08205249716582544, 0.06998712854350314, 0.0300329912946943, -0.09737377141273636, -0.15954598105129073, 0.08629023626118022, 0.1304298691889819, 0.1377615878248916, -0.028918940231532735, 0.03330820630414083, -0.18702047599671298, -0.13585381538552396, 0.37044599476982565, -0.12830307282616987, -0.25199532059623914, 0.07371396730270456, -0.07364682725849836, -0.1725849865607041, 0.0671232238631038, 0.09015479996143018, 0.13318016953930698, -0.24003566759090653, 0.11780576333780225, -0.11682356159914942, 0.06479163834934726, 0.14938514585168483, -0.002461936160483781, 0.16579287822413094, -0.012690452913589337, 0.026815723956507796, 0.22825889442773425, -6.177826948902187e-05, -0.12918944758198717, -0.2981426924028817, -0.18295486589126728, -0.16984287739786155, 0.05829208563355839, -0.160348963978108, -0.12242017160443698, 0.3662954422316569, 0.1161093437934623, 0.15801043003140128, 0.10673634357312146, 0.2544303415891002, 0.20652421275907032, 0.045451235224711985, 0.06297628325410187, 0.16436369426767616, 0.10763889623066301, 0.12287346180528402, -0.1419500276199816, 0.06454082378460203, 0.14724688303163824] |
711.4161 | Scaled Asymptotics For Some $q$-Series As $q$ Approaching Unit | In this work we investigate Plancherel-Rotach type asymptotics for some
$q$-series as $q\to1$. These $q$-series generalize Ramanujan function
$A_{q}(z)$; Jackson's $q$-Bessel function $J_{\nu}^{(2)}$(z;q), Ismail-Masson
orthogonal polynomials($q^{-1}$-Hermite polynomials) $h_{n}(x|q)$,
Stieltjes-Wigert orthogonal polynomials $S_{n}(x;q)$, $q$-Laguerre orthogonal
polynomials $L_{n}^{(\alpha)}(x;q)$ and confluent basic hypergeometric series.
| math.CA | in this work we investigate plancherelrotach type asymptotics for some qseries as qto1 these qseries generalize ramanujan function a_qz jacksons qbessel function j_nu2zq ismailmasson orthogonal polynomialsq1hermite polynomials h_nxq stieltjeswigert orthogonal polynomials s_nxq qlaguerre orthogonal polynomials l_nalphaxq and confluent basic hypergeometric series | [['in', 'this', 'work', 'we', 'investigate', 'plancherelrotach', 'type', 'asymptotics', 'for', 'some', 'qseries', 'as', 'qto1', 'these', 'qseries', 'generalize', 'ramanujan', 'function', 'a_qz', 'jacksons', 'qbessel', 'function', 'j_nu2zq', 'ismailmasson', 'orthogonal', 'polynomialsq1hermite', 'polynomials', 'h_nxq', 'stieltjeswigert', 'orthogonal', 'polynomials', 's_nxq', 'qlaguerre', 'orthogonal', 'polynomials', 'l_nalphaxq', 'and', 'confluent', 'basic', 'hypergeometric', 'series']] | [-0.24391135622404123, -0.0016317621584197408, -0.09187135246190194, 0.16086336876890672, -0.22308886325673052, -0.19898839240991756, -0.018402384912693186, 0.30387504401273635, -0.313741648263347, -0.02951297918824773, 0.053451838409895765, -0.2703648401228221, -0.3350522008381392, 0.19282428930072407, -0.11866524011680954, 0.1297883580708386, -0.054300692753474177, -0.04806157487052444, -0.16921294136217943, -0.3395262931620604, 0.31598534287982866, -0.046235753823757955, 0.17628216562106422, -0.08134479203727096, 0.04313627109666796, 0.041990642926018486, -0.039596465367235635, -0.2813173701104365, -0.1889518375851606, 0.037812215625308454, 0.3755779414388694, 0.15404686194501424, 0.24818992252020458, -0.2856823560340624, 0.01036504761462933, 0.15832392594433928, 0.29697422989595096, -0.12080203261192717, 0.06146438003174568, -0.23054211861208865, -0.12580236069563971, -0.22086599689761274, -0.30346336254948064, -0.15474267867638877, -0.031177218746099817, 0.29009071747331244, -0.2921010429333699, 0.10221905511264738, 0.060160479526721725, 0.14822707469820193, 0.0757634594154201, -0.38107422807891117, 0.17209249669931045, -0.022802275630008233, 0.015791904107716522, 0.03713236632756889, -0.06982561915279611, -0.07813017695259891, -0.1460738055113899, 0.22355830894881173, 0.012649732145578846, -0.3004508008690257, -0.05069310095553335, -0.22931529156324504, -0.35014656070913924, 0.004700780356008755, 0.09090781138327561, 0.16050059367951594, -0.0610130361011742, 0.09001023368756778, -0.16882164580257317, -0.05681688204334166, 0.435410286888088, 0.03780997866813682, 0.04320663284804476, -0.23381041279552797, -0.12577869162257566, 0.26901995165175513, 0.19569947178426542, -0.060214557464381584, -0.29839862549775525, -0.21246643531087198, -0.18973888886753948, 0.122731901803299, -0.22536154195480967, -0.24201974027643078, 0.43275683108521135, -0.006820898625607553, 0.049948936156732474, 0.2724233517962459, 0.11955924716925151, 0.1956473327024325, 0.03359304211641613, -0.04783822268884825, -0.058106365021606175, 0.3080278169976449, 0.11990538572794512, -0.09094781682736204, -0.017895898695937114, 0.3937518949326324] |
711.4162 | Electromagnetic couplings of elementary vector particles | On the basis of the three fundamental principles of (i) Poincar\'{e} symmetry
of space time, (ii) electromagnetic gauge symmetry, and (iii) unitarity, we
construct an universal Lagrangian for the electromagnetic interactions of
elementary vector particles, i.e., massive spin-1 particles transforming in the
/1/2,1/2) representation space of the Homogeneous Lorentz Group (HLG). We make
the point that the first two symmetries alone do not fix the electromagnetic
couplings uniquely but solely prescribe a general Lagrangian depending on two
free parameters, here denoted by \xi and g. The first one defines the
electric-dipole and the magnetic-quadrupole moments of the vector particle,
while the second determines its magnetic-dipole and electric-quadrupole
moments. In order to fix the parameters one needs an additional physical input
suited for the implementation of the third principle. As such, one chooses
Compton scattering off a vector target and requires the cross section to
respect the unitarity bounds in the high energy limit. In result, we obtain the
universal g=2, and \xi=0 values which completely characterize the
electromagnetic couplings of the considered elementary vector field at tree
level. The nature of this vector particle, Abelian versus non-Abelian, does not
affect this structure. Merely, a partition of the g=2 value into non-Abelian,
g_{na}, and Abelian, g_{a}=2-g_{na}, contributions occurs for non-Abelian
fields with the size of g_{na} being determined by the specific non-Abelian
group appearing in the theory of interest, be it the Standard Model or any
other theory.
| hep-ph | on the basis of the three fundamental principles of i poincare symmetry of space time ii electromagnetic gauge symmetry and iii unitarity we construct an universal lagrangian for the electromagnetic interactions of elementary vector particles ie massive spin1 particles transforming in the 1212 representation space of the homogeneous lorentz group hlg we make the point that the first two symmetries alone do not fix the electromagnetic couplings uniquely but solely prescribe a general lagrangian depending on two free parameters here denoted by xi and g the first one defines the electricdipole and the magneticquadrupole moments of the vector particle while the second determines its magneticdipole and electricquadrupole moments in order to fix the parameters one needs an additional physical input suited for the implementation of the third principle as such one chooses compton scattering off a vector target and requires the cross section to respect the unitarity bounds in the high energy limit in result we obtain the universal g2 and xi0 values which completely characterize the electromagnetic couplings of the considered elementary vector field at tree level the nature of this vector particle abelian versus nonabelian does not affect this structure merely a partition of the g2 value into nonabelian g_na and abelian g_a2g_na contributions occurs for nonabelian fields with the size of g_na being determined by the specific nonabelian group appearing in the theory of interest be it the standard model or any other theory | [['on', 'the', 'basis', 'of', 'the', 'three', 'fundamental', 'principles', 'of', 'i', 'poincare', 'symmetry', 'of', 'space', 'time', 'ii', 'electromagnetic', 'gauge', 'symmetry', 'and', 'iii', 'unitarity', 'we', 'construct', 'an', 'universal', 'lagrangian', 'for', 'the', 'electromagnetic', 'interactions', 'of', 'elementary', 'vector', 'particles', 'ie', 'massive', 'spin1', 'particles', 'transforming', 'in', 'the', '1212', 'representation', 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711.4163 | Neutrino telescopes as a probe of active and sterile neutrino mixings | If the ultrahigh-energy (UHE) neutrino fluxes produced from a distant
astrophysical source can be measured at a km^3-size neutrino telescope, they
will provide a promising way to help determine the flavor mixing pattern of
three active neutrinos. Considering the conventional UHE neutrino source with
the flavor ratio \phi_e : \phi_\mu : \phi_\tau = 1 : 2 : 0, I show that
\phi^D_e : \phi^D_\mu : \phi^D_\tau = (1 -2 \Delta) : (1 +\Delta) : (1 +\Delta)
holds at the detector of a neutrino telescope, where \Delta characterizes the
effect of \mu-\tau symmetry breaking (i.e., \theta_13 \neq 0 and \theta_23 \neq
\pi/4). Current experimental data yield -0.1 \leq \Delta \leq +0.1. It is also
possible to probe \Delta by detecting the \bar{\nu}_e flux of E_\bar{\nu}_e
\approx 6.3 PeV via the Glashow resonance channel \bar{\nu}_e e \to W^- \to
anything. Finally, I give some brief comments on the possibility to constrain
the mixing between active and sterile neutrinos by using the UHE neutrino
telescopes.
| astro-ph | if the ultrahighenergy uhe neutrino fluxes produced from a distant astrophysical source can be measured at a km3size neutrino telescope they will provide a promising way to help determine the flavor mixing pattern of three active neutrinos considering the conventional uhe neutrino source with the flavor ratio phi_e phi_mu phi_tau 1 2 0 i show that phid_e phid_mu phid_tau 1 2 delta 1 delta 1 delta holds at the detector of a neutrino telescope where delta characterizes the effect of mutau symmetry breaking ie theta_13 neq 0 and theta_23 neq pi4 current experimental data yield 01 leq delta leq 01 it is also possible to probe delta by detecting the barnu_e flux of e_barnu_e approx 63 pev via the glashow resonance channel barnu_e e to w to anything finally i give some brief comments on the possibility to constrain the mixing between active and sterile neutrinos by using the uhe neutrino telescopes | [['if', 'the', 'ultrahighenergy', 'uhe', 'neutrino', 'fluxes', 'produced', 'from', 'a', 'distant', 'astrophysical', 'source', 'can', 'be', 'measured', 'at', 'a', 'km3size', 'neutrino', 'telescope', 'they', 'will', 'provide', 'a', 'promising', 'way', 'to', 'help', 'determine', 'the', 'flavor', 'mixing', 'pattern', 'of', 'three', 'active', 'neutrinos', 'considering', 'the', 'conventional', 'uhe', 'neutrino', 'source', 'with', 'the', 'flavor', 'ratio', 'phi_e', 'phi_mu', 'phi_tau', '1', '2', '0', 'i', 'show', 'that', 'phid_e', 'phid_mu', 'phid_tau', '1', '2', 'delta', '1', 'delta', '1', 'delta', 'holds', 'at', 'the', 'detector', 'of', 'a', 'neutrino', 'telescope', 'where', 'delta', 'characterizes', 'the', 'effect', 'of', 'mutau', 'symmetry', 'breaking', 'ie', 'theta_13', 'neq', '0', 'and', 'theta_23', 'neq', 'pi4', 'current', 'experimental', 'data', 'yield', '01', 'leq', 'delta', 'leq', '01', 'it', 'is', 'also', 'possible', 'to', 'probe', 'delta', 'by', 'detecting', 'the', 'barnu_e', 'flux', 'of', 'e_barnu_e', 'approx', '63', 'pev', 'via', 'the', 'glashow', 'resonance', 'channel', 'barnu_e', 'e', 'to', 'w', 'to', 'anything', 'finally', 'i', 'give', 'some', 'brief', 'comments', 'on', 'the', 'possibility', 'to', 'constrain', 'the', 'mixing', 'between', 'active', 'and', 'sterile', 'neutrinos', 'by', 'using', 'the', 'uhe', 'neutrino', 'telescopes']] | [-0.11472325498900758, 0.32320334066343087, 0.042811017527226235, 0.18378803039464986, -0.0746695794096379, -0.21325508585424732, 0.08598130826069504, 0.3256324135992151, -0.24768291130011913, -0.34094977970141294, -0.0014755803991684177, -0.359346311314394, 0.017723459975724422, 0.16842377538505265, 0.06514536667437036, -0.03485336545354768, 0.061493883850115456, -0.033450745585047945, -0.07964801526083079, -0.15897939037906644, 0.2442083143247854, 0.11025852745948922, 0.1625882077012086, 0.08130807780360666, 0.09286630593768427, -0.09391361904243045, -0.038691373185673415, -0.1515817531953322, -0.151755791931226, -0.0369761933353042, 0.2091153012291722, 0.16468737876486508, 0.0824893317872896, -0.3331524620970224, -0.14192094326631835, 0.22324846952453556, 0.1577244199532703, -0.024614278128645663, -0.03933248113943951, -0.3493381239623831, 0.10921549631635058, -0.18149920780799234, -0.17283173567684204, 0.04527558409765163, 0.009833316643716105, -0.04142837219202779, -0.3426640797968979, 0.06761369235862841, -0.015627624463499367, -0.01118995571024371, 0.030016817497058253, -0.24076838484315213, 0.01595214879196512, 0.04340059476773311, 0.13375618888202728, 0.04606347135424414, 0.09510651699207948, -0.1233159270490701, -0.06518801783630312, 0.3973811756594469, -0.06157870778084214, -0.13617423571014914, 0.06448304780638596, -0.23471569280521382, -0.15325190275344971, 0.13894121752014296, 0.11277480125419433, 0.06275121256202809, -0.1383019111700506, 0.11961628087786895, -0.05907153004476482, 0.17488645285449222, 0.09078948241002208, -0.009179089859052993, 0.2554986400267222, 0.18135382790015322, 0.15121237012938965, -0.08741187970716531, -0.2362770052679858, 0.11179407027154699, -0.38406834392277084, -0.07959096944709652, -0.1108014224180733, 0.20529650107898043, -0.09040877982116954, -0.014404413349310799, 0.39012545889756023, 0.14301673183061384, 0.17480327827143388, 0.0032469406989621835, 0.2442298765644281, 0.025499281517211224, -0.021005669994679774, 0.04156096286652922, 0.316675454832265, 0.12487269847985082, 0.13058867713986527, -0.2542597773881792, -0.00591801334760033, 0.03309549840992229] |
711.4164 | Morphological Evolution of Outflows from YSOs | We present Spitzer IRAC images that indicate the presence of cavities cut
into the dense outer envelope surrounding very young pre-main sequence stars.
These young stellar objects (YSOs) characterized by an outflow represent the
earliest stages of star formation. Mid-infrared photons thermally created by
the central protostar/disk are scattered by dust particles within the outflow
cavity itself into the line of sight. We observed this scattered light from 27
nearby, cavity-resolved YSOs, and quantified the shape of the outflow cavities.
Using the grid models of Robitaille et al. (2006), we matched model spectral
energy distributions (SEDs) to the observed SEDs of the 27 cataloged YSOs using
photometry from IRAC, MIPS, and IRAS. This allows for the estimation of
geometric and physical properties such as inclination angle, cavity density,
and accretion rate. By using the relative parameter estimates determined by the
models, we are able to deduce an evolutionary picture for outflows. Our work
supports the concept that cavities widen with time, beginning as a thin
jet-like outflow that widens to reveal the central protostar and disk until the
protostellar envelope is completely dispersed by outflow and accretion.
| astro-ph | we present spitzer irac images that indicate the presence of cavities cut into the dense outer envelope surrounding very young premain sequence stars these young stellar objects ysos characterized by an outflow represent the earliest stages of star formation midinfrared photons thermally created by the central protostardisk are scattered by dust particles within the outflow cavity itself into the line of sight we observed this scattered light from 27 nearby cavityresolved ysos and quantified the shape of the outflow cavities using the grid models of robitaille et al 2006 we matched model spectral energy distributions seds to the observed seds of the 27 cataloged ysos using photometry from irac mips and iras this allows for the estimation of geometric and physical properties such as inclination angle cavity density and accretion rate by using the relative parameter estimates determined by the models we are able to deduce an evolutionary picture for outflows our work supports the concept that cavities widen with time beginning as a thin jetlike outflow that widens to reveal the central protostar and disk until the protostellar envelope is completely dispersed by outflow and accretion | [['we', 'present', 'spitzer', 'irac', 'images', 'that', 'indicate', 'the', 'presence', 'of', 'cavities', 'cut', 'into', 'the', 'dense', 'outer', 'envelope', 'surrounding', 'very', 'young', 'premain', 'sequence', 'stars', 'these', 'young', 'stellar', 'objects', 'ysos', 'characterized', 'by', 'an', 'outflow', 'represent', 'the', 'earliest', 'stages', 'of', 'star', 'formation', 'midinfrared', 'photons', 'thermally', 'created', 'by', 'the', 'central', 'protostardisk', 'are', 'scattered', 'by', 'dust', 'particles', 'within', 'the', 'outflow', 'cavity', 'itself', 'into', 'the', 'line', 'of', 'sight', 'we', 'observed', 'this', 'scattered', 'light', 'from', '27', 'nearby', 'cavityresolved', 'ysos', 'and', 'quantified', 'the', 'shape', 'of', 'the', 'outflow', 'cavities', 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711.4165 | Minimal connected simple groups of finite Morley rank with strongly
embedded subgroups | We show that a minimal nonalgebraic simple groups of finite Morley rank has
Prufer rank at most 2, and eliminates tameness from Cherlin and Jaligot's past
work on minimal simple groups. The argument given here begins with the strongly
embedded minimal simple configuration of Borovik, Burdges and Nesin. The
0-unipotence machinery of Burdges's thesis is used to analyze configurations
involving nonabelian intersections of Borel subgroups. The number theoretic
punchline of Cherlin and Jaligot has been replaced with a new genericity
argument.
| math.GR math.LO | we show that a minimal nonalgebraic simple groups of finite morley rank has prufer rank at most 2 and eliminates tameness from cherlin and jaligots past work on minimal simple groups the argument given here begins with the strongly embedded minimal simple configuration of borovik burdges and nesin the 0unipotence machinery of burdgess thesis is used to analyze configurations involving nonabelian intersections of borel subgroups the number theoretic punchline of cherlin and jaligot has been replaced with a new genericity argument | [['we', 'show', 'that', 'a', 'minimal', 'nonalgebraic', 'simple', 'groups', 'of', 'finite', 'morley', 'rank', 'has', 'prufer', 'rank', 'at', 'most', '2', 'and', 'eliminates', 'tameness', 'from', 'cherlin', 'and', 'jaligots', 'past', 'work', 'on', 'minimal', 'simple', 'groups', 'the', 'argument', 'given', 'here', 'begins', 'with', 'the', 'strongly', 'embedded', 'minimal', 'simple', 'configuration', 'of', 'borovik', 'burdges', 'and', 'nesin', 'the', '0unipotence', 'machinery', 'of', 'burdgess', 'thesis', 'is', 'used', 'to', 'analyze', 'configurations', 'involving', 'nonabelian', 'intersections', 'of', 'borel', 'subgroups', 'the', 'number', 'theoretic', 'punchline', 'of', 'cherlin', 'and', 'jaligot', 'has', 'been', 'replaced', 'with', 'a', 'new', 'genericity', 'argument']] | [-0.14461748834167207, 0.10232886252320045, -0.10894058415267084, 0.04919926888254991, -0.12380737631110014, -0.18101054827936672, 0.05033128739443499, 0.3338023774120231, -0.23211947949028683, -0.2318369084969163, 0.10765004239661934, -0.24768420357511126, -0.1233492039791127, 0.1717972350306809, -0.18347177678090218, -0.005071105210219401, 0.02680232027521381, 0.09871267497708852, -0.05648757702695181, -0.28478128596831886, 0.38852254791161067, -0.024223192995973537, 0.21776761644967385, 0.08137603365368658, 0.11141528360932679, 0.036816690830731545, -0.04408043971309414, 0.035723957707863546, -0.14450676042887808, 0.14525603877407706, 0.22104905621910637, 0.12558736579867635, 0.25907966985923614, -0.4091942450394491, -0.17764559817007536, 0.18776835093589186, 0.1045350788475631, 0.05104461546938915, -0.056465690061994284, -0.22325714041370076, 0.16033052632512598, -0.20186126333746043, -0.16828234954555701, -0.07987786718196684, 0.033858294674352585, -0.031216443195793923, -0.19193582300870837, -0.002727187280966477, 0.10307574944038476, 0.16433707393657465, -0.0028568541528294225, -0.1046516251714005, -0.027647811925498308, 0.0656473070274216, 0.020996174772040216, 0.006439449628452202, 0.06390339375833388, -0.0517158829546594, -0.13759850247992905, 0.35898236311101295, -0.01270329530121057, -0.18046321198586132, 0.23735082681841133, -0.11907830418317349, -0.18024071281195267, 0.08915786391922406, 0.08224076749877883, 0.15388033296020895, -0.05135971477085894, 0.19693381695814624, -0.12843210551307185, 0.11688301554962678, 0.12154310195428597, -0.030564610991481837, 0.10252963155870895, 0.13769096137907405, 0.06321873857530874, 0.12422807378389769, 0.03604081847898469, -0.01955398236244143, -0.3326835685542652, -0.13543007872445365, -0.13318999565218564, 0.09017495489558326, -0.08237047700510759, -0.18450179846667045, 0.42211426540531893, 0.054157246025158215, 0.11713308168502597, 0.12236540480335424, 0.22724383629785924, 0.021844102819631627, 0.05123226083331294, 0.056012413585437584, 0.10720621636318793, 0.20999157560578027, -0.06888197775470553, -0.13047356093408202, 0.007466577217224744, 0.19324467528925895] |
711.4166 | Involutions in groups of finite Morley rank of degenerate type | This article proves a version of the Feit-Thompson theorem for simple groups
of finite Morley rank: a connected groups of finite Morley rank with a finite
Sylow 2-subgroup has a trivial Sylow 2-subgroups.
| math.LO | this article proves a version of the feitthompson theorem for simple groups of finite morley rank a connected groups of finite morley rank with a finite sylow 2subgroup has a trivial sylow 2subgroups | [['this', 'article', 'proves', 'a', 'version', 'of', 'the', 'feitthompson', 'theorem', 'for', 'simple', 'groups', 'of', 'finite', 'morley', 'rank', 'a', 'connected', 'groups', 'of', 'finite', 'morley', 'rank', 'with', 'a', 'finite', 'sylow', '2subgroup', 'has', 'a', 'trivial', 'sylow', '2subgroups']] | [-0.23989832243233017, 0.13315871947755417, -0.17297427941141932, 0.05431653203612024, -0.13617609839209102, -0.1885538739575581, 0.07476564536266254, 0.3192088660417181, -0.24673135194814566, -0.11422219663632638, 0.12230146635380207, -0.2328803769566796, -0.05025081483252121, 0.15216604261800196, -0.21597696823829954, -0.09520774916040176, 0.023366970828536785, 0.2210013631336165, -0.10746552795171738, -0.3674895032450105, 0.3320264256361759, -0.12856741734977925, 0.26406276700171555, 0.04776085139901349, 0.13045701071281324, 0.05020542624829845, -0.028329927192041367, 0.04654121009463614, -0.0779485504961375, 0.06807446688639396, 0.4094138885142677, -0.046338960246154755, 0.30950133210739517, -0.2882300515969594, -0.13706526820632545, 0.31224177458859753, 0.0905576471634435, 0.012051102304019767, -0.13036425259302964, -0.23171388496165024, 0.25269528280830744, -0.41158605242768925, -0.23207551207054744, -0.03549412101732962, 0.08704053820110857, -0.05058385090281566, -0.19427297910618962, 0.005697912367230112, 0.1636473187386538, 0.24957739691616912, 0.010332942996738535, -0.14850129235084308, 0.05536561481880419, 0.05129188920060793, -0.07299315782658981, -0.0649363378937723, -0.0070412197347843285, 0.0359239214537383, -0.1453636557315335, 0.457799712859207, -0.038528151090510866, -0.1497736478393728, 0.15273660839055525, -0.12582077718142307, -0.25165496295261564, 0.12029747360131958, 0.06922019230709835, 0.20209167556392707, 0.02453144205113252, 0.2726602451875806, -0.2547024420152108, 0.13066864549887902, 0.08370509182074756, -0.14014501790657188, 0.00196115229504578, 0.10123856927296429, 0.1598418534761577, 0.09987287652311903, 0.15979431693752608, 0.1767939945513552, -0.33540921140405716, -0.1883843964191549, -0.18204418069570127, 0.08661760367227322, -0.10468282472963135, -0.29928633278574457, 0.4782515980980613, -0.037605756456314615, -0.020852358165112408, 0.20651841682918143, 0.20864508639682422, -0.024623657096967552, 0.039140602122202064, 0.09697274685921994, -0.03456264881022049, 0.421982275237414, -0.17327497718912183, -0.14122508102181283, -0.02207770398959066, 0.3823601155485393] |
711.4167 | Uniqueness cases in odd type groups of finite Morley rank | Here we analyze a proper 2-generated core in a minimal counter example to the
Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank.
We ultimately show that such a group is strongly embedded and the ambiant group
is minimal connected simple.
| math.GR math.LO | here we analyze a proper 2generated core in a minimal counter example to the cherlinzilber algebraicity conjecture for simple groups of finite morley rank we ultimately show that such a group is strongly embedded and the ambiant group is minimal connected simple | [['here', 'we', 'analyze', 'a', 'proper', '2generated', 'core', 'in', 'a', 'minimal', 'counter', 'example', 'to', 'the', 'cherlinzilber', 'algebraicity', 'conjecture', 'for', 'simple', 'groups', 'of', 'finite', 'morley', 'rank', 'we', 'ultimately', 'show', 'that', 'such', 'a', 'group', 'is', 'strongly', 'embedded', 'and', 'the', 'ambiant', 'group', 'is', 'minimal', 'connected', 'simple']] | [-0.19960039964921417, 0.12243314641749575, -0.09723992098034137, 0.08055019186299649, -0.13435776499543517, -0.14718947295512494, 0.054246367797965094, 0.40662541978859473, -0.27219794034248307, -0.1886359184004721, 0.14532869573893203, -0.2452132691174657, -0.1743201019818939, 0.19757784544933765, -0.16537175119100583, -0.06887677786428303, 0.029458868450352123, 0.1273275653144256, -0.04250008492575338, -0.2678067237582235, 0.3475534883993013, -0.06482592089811251, 0.21204387721428203, 0.07871191704734451, 0.11716270371384564, -0.019044451404451615, -0.018337756960785816, 0.08270999842456409, -0.11338023968415828, 0.10430671933240124, 0.2538233806068699, 0.07909101740057979, 0.23111655714455992, -0.3792198013425583, -0.17434222358168058, 0.20394336201605343, 0.09131324235793381, 0.06319544096255586, -0.11192861866826813, -0.18293376568527447, 0.18115781777582707, -0.2668940226846774, -0.2186636446886474, -0.06519545750537266, 0.07428301709227353, -0.033602615762945445, -0.2070288843076144, -0.011759884078942594, 0.08206209935070503, 0.0979447933468258, -0.02080581295082257, -0.0317689214467204, 0.0038630491721310784, 0.0944877028398748, -0.08291301691150736, -0.01303092073205681, 0.07624519732087806, -0.060424159070299494, -0.09110693294288856, 0.3925454384935576, -0.07870855568242925, -0.18756354183313392, 0.207202791236341, -0.14122089513000988, -0.21961687101672092, 0.07827359650816236, 0.10849790658713096, 0.14723690150241878, -0.04606132082907217, 0.13051563868759244, -0.1952233019595345, 0.1491710434091233, 0.028099637922076953, -0.07452435373506021, 0.09057717537507415, 0.16524291225886417, 0.1116827327004146, 0.13366519954676429, 0.05821817856104601, 0.029455226025588456, -0.3657167957474788, -0.23870295126523292, -0.1319185939307014, 0.09564622908475853, -0.09413980368844932, -0.22188232232084765, 0.3988410642902766, 0.03583785669789428, 0.1351602841612129, 0.12079372496477195, 0.2349345793149301, 0.03174444398887101, 0.0670212156449755, 0.09746692212121118, 0.10599434232738401, 0.19453203651521886, -0.15523519306000144, -0.1830995098599011, -0.03225339737365998, 0.16674725246793104] |
711.4168 | Role of Activity in Human Dynamics | The human society is a very complex system; still, there are several
non-trivial, general features. One type of them is the presence of power-law
distributed quantities in temporal statistics. In this Letter, we focus on the
origin of power-laws in rating of movies. We present a systematic empirical
exploration of the time between two consecutive ratings of movies (the
interevent time). At an aggregate level, we find a monotonous relation between
the activity of individuals and the power-law exponent of the interevent-time
distribution. At an individual level, we observe a heavy-tailed distribution
for each user, as well as a negative correlation between the activity and the
width of the distribution. We support these findings by a similar data set from
mobile phone text-message communication. Our results demonstrate a significant
role of the activity of individuals on the society-level patterns of human
behavior. We believe this is a common character in the interest-driven human
dynamics, corresponding to (but different from) the universality classes of
task-driven dynamics.
| physics.soc-ph physics.data-an | the human society is a very complex system still there are several nontrivial general features one type of them is the presence of powerlaw distributed quantities in temporal statistics in this letter we focus on the origin of powerlaws in rating of movies we present a systematic empirical exploration of the time between two consecutive ratings of movies the interevent time at an aggregate level we find a monotonous relation between the activity of individuals and the powerlaw exponent of the intereventtime distribution at an individual level we observe a heavytailed distribution for each user as well as a negative correlation between the activity and the width of the distribution we support these findings by a similar data set from mobile phone textmessage communication our results demonstrate a significant role of the activity of individuals on the societylevel patterns of human behavior we believe this is a common character in the interestdriven human dynamics corresponding to but different from the universality classes of taskdriven dynamics | [['the', 'human', 'society', 'is', 'a', 'very', 'complex', 'system', 'still', 'there', 'are', 'several', 'nontrivial', 'general', 'features', 'one', 'type', 'of', 'them', 'is', 'the', 'presence', 'of', 'powerlaw', 'distributed', 'quantities', 'in', 'temporal', 'statistics', 'in', 'this', 'letter', 'we', 'focus', 'on', 'the', 'origin', 'of', 'powerlaws', 'in', 'rating', 'of', 'movies', 'we', 'present', 'a', 'systematic', 'empirical', 'exploration', 'of', 'the', 'time', 'between', 'two', 'consecutive', 'ratings', 'of', 'movies', 'the', 'interevent', 'time', 'at', 'an', 'aggregate', 'level', 'we', 'find', 'a', 'monotonous', 'relation', 'between', 'the', 'activity', 'of', 'individuals', 'and', 'the', 'powerlaw', 'exponent', 'of', 'the', 'intereventtime', 'distribution', 'at', 'an', 'individual', 'level', 'we', 'observe', 'a', 'heavytailed', 'distribution', 'for', 'each', 'user', 'as', 'well', 'as', 'a', 'negative', 'correlation', 'between', 'the', 'activity', 'and', 'the', 'width', 'of', 'the', 'distribution', 'we', 'support', 'these', 'findings', 'by', 'a', 'similar', 'data', 'set', 'from', 'mobile', 'phone', 'textmessage', 'communication', 'our', 'results', 'demonstrate', 'a', 'significant', 'role', 'of', 'the', 'activity', 'of', 'individuals', 'on', 'the', 'societylevel', 'patterns', 'of', 'human', 'behavior', 'we', 'believe', 'this', 'is', 'a', 'common', 'character', 'in', 'the', 'interestdriven', 'human', 'dynamics', 'corresponding', 'to', 'but', 'different', 'from', 'the', 'universality', 'classes', 'of', 'taskdriven', 'dynamics']] | [-0.13646108245597066, 0.10243706621798869, -0.10807478962754659, 0.0977096392071743, -0.0256920815006247, -0.10679738413816764, 0.08230074008561077, 0.4073456691269494, -0.25938050915127153, -0.319947286577541, 0.028936780039278184, -0.3255523480132131, -0.19293794709120654, 0.1657144352879398, -0.05913492734972502, 0.019685087396628994, 0.041158906841562044, 0.07988627144689757, -0.015445027637518257, -0.21342075452139955, 0.3191844191512184, 0.03241417293602521, 0.30285078633942303, 0.038968266359318986, 0.05768298128965465, -0.02915022688049343, -0.04878781673475597, 0.004315955122287151, -0.08169844990365487, 0.12957550018798686, 0.23399535565997012, 0.14016774749851849, 0.32377539718512194, -0.4020507523641447, -0.18840747709140365, 0.09034513837823564, 0.1226412161750479, 0.06205384994062818, -0.03816079049645438, -0.2918786452968885, 0.05959131183714086, -0.16981800789859122, -0.0985378995552042, -0.017203863584465046, 0.05408864110662528, 0.05081206590595706, -0.2492312153049979, 0.11089651531145617, 0.05729258258647051, 0.13394446770712, -0.05146620298758652, -0.0691417024936527, 0.016128172765148836, 0.2370456933798097, 0.09426624316613595, -0.043345187431447024, 0.12162885053848928, -0.16654952289036654, -0.13029121245833206, 0.3577863625907825, -0.04513152596037949, -0.16275236951158684, 0.21344903062891923, -0.17356235938049577, -0.15284030199153747, 0.09004452170024231, 0.2145650891838538, 0.0802565194677813, -0.14879801572569035, -0.006904252525561838, -0.07780396908327389, 0.2143365377417417, 0.011919467280007487, 0.028865930586096267, 0.22172271299741567, 0.1884227211185748, 0.02617828388258449, 0.10729440643760645, -0.09254889225210863, -0.10153755898147455, -0.28965000573408567, -0.12820240769512448, -0.18614147986325383, 0.055057216222837935, -0.13308664355009217, -0.1571365236218996, 0.44880671270100253, 0.148499672561084, 0.2416469763173076, 0.10420007636896306, 0.24422607682873868, 0.09250655079675064, 0.04485636626147419, 0.05695724491589914, 0.1597122700450702, 0.0049372796059237575, 0.13540337619834517, -0.2175877297159993, 0.12730488712910815, -0.011237260321315173] |
711.4169 | A New Trichotomy Theorem | We show that a minimal counter example to the Cherlin-Zilber Algebraicity
Conjecture for simple groups of finite Morley rank has normal 2-rank at most
two, which is a tameness free version of Borovik's original trichotomy theorem.
This result serves as a bridge by showing that there are no groups found
strictly between the generic and quasithin cases, i.e. between groups of Lie
rank at least three, and groups of Lie rank one and two. Again this result
depends upon previous work for the uniqueness case analysis.
| math.GR math.LO | we show that a minimal counter example to the cherlinzilber algebraicity conjecture for simple groups of finite morley rank has normal 2rank at most two which is a tameness free version of boroviks original trichotomy theorem this result serves as a bridge by showing that there are no groups found strictly between the generic and quasithin cases ie between groups of lie rank at least three and groups of lie rank one and two again this result depends upon previous work for the uniqueness case analysis | [['we', 'show', 'that', 'a', 'minimal', 'counter', 'example', 'to', 'the', 'cherlinzilber', 'algebraicity', 'conjecture', 'for', 'simple', 'groups', 'of', 'finite', 'morley', 'rank', 'has', 'normal', '2rank', 'at', 'most', 'two', 'which', 'is', 'a', 'tameness', 'free', 'version', 'of', 'boroviks', 'original', 'trichotomy', 'theorem', 'this', 'result', 'serves', 'as', 'a', 'bridge', 'by', 'showing', 'that', 'there', 'are', 'no', 'groups', 'found', 'strictly', 'between', 'the', 'generic', 'and', 'quasithin', 'cases', 'ie', 'between', 'groups', 'of', 'lie', 'rank', 'at', 'least', 'three', 'and', 'groups', 'of', 'lie', 'rank', 'one', 'and', 'two', 'again', 'this', 'result', 'depends', 'upon', 'previous', 'work', 'for', 'the', 'uniqueness', 'case', 'analysis']] | [-0.15228177149067906, 0.07131274547427893, -0.09155416477142889, 0.07149223125786247, -0.05515689888749929, -0.19793355581624544, 0.040489986582713966, 0.3587200351881192, -0.23301423226674908, -0.2617390516378424, 0.12371671934447745, -0.25573005728587944, -0.15970355734667357, 0.2320312207311337, -0.09658486868172665, -0.08430735871524495, 0.023874104483162656, 0.11604882763589129, -0.07536844129071515, -0.3096244406174211, 0.3876906034427092, -0.05552739385679802, 0.2418236792087555, 0.06361735780887744, 0.08983810899560066, 0.023589911536477944, -0.026462747310014332, 0.013180327995638329, -0.10354208056078813, 0.09704638803377748, 0.2898718338295379, 0.07458534637356505, 0.2899630377836087, -0.32426780389950555, -0.1563339972813778, 0.19307939473758726, 0.0814930230324321, 0.062005171107183045, -0.0684447386466405, -0.19495260568390435, 0.14015185003552366, -0.17346894258140202, -0.17406346684540897, -0.01945323228069088, 0.04060020712341237, -0.03403684075045235, -0.2013756240663283, 0.07287608970175771, 0.15564259564065758, 0.10698176770854523, -0.05224218608345836, -0.11912071247968603, -0.0268209985073875, 0.09897745770457037, 0.05878009077106767, -0.00424894586972454, 0.05054524354396991, -0.05198022882070612, -0.1285148981219048, 0.35694573127171575, -0.028857037348344047, -0.1741073940168409, 0.25331312084899227, -0.14292118832030717, -0.21464033121900522, 0.08412669106003116, 0.050153537510949024, 0.1195348761164282, -0.05219118471312172, 0.09793452756164377, -0.17616198600324637, 0.13267759225495598, 0.1414721442003022, -0.04003001974813421, 0.09977079260656062, 0.12137034813914557, 0.1442434361574295, 0.12603784287896228, 0.04402699247002602, 0.0026113411082940943, -0.35446777917882977, -0.17397430141127723, -0.13471922479734263, 0.06572129320051959, -0.1002491462696686, -0.16434875297195772, 0.3809740292127518, 0.059208024224704676, 0.15875966609181727, 0.15556807764668895, 0.24271674468455945, 0.0449253562002388, 0.04240938381442581, 0.09425228446831597, 0.1665837981792934, 0.1997894224957289, -0.044202620185473385, -0.10670964992331232, 0.022749663221047205, 0.19408826007617308] |
711.417 | Nonequilibrium interacting electrons in a ferromagnet | Dynamics of the magnetization in ferromagnets is examined in the presence of
transport electrons allowing the latter to interact. It is found that the
existence of inhomogeneities such as domain wall (DW) structures, leads to
changes that affect the dynamical structure of the equations of motion for the
magnetization. Only in the limit of uniform magnetizations or sufficiently wide
DW's, the equations of motion maintain the form they have in the noninteracting
case. In this limit, results like the spin torques, the Gilbert parameter, and
the DW velocities become renormalized. However the length scale that defines
such a limit depends on the strength of the interaction. It is shown that if
large ferromagnetic fluctuations exist in the metallic band then the range for
which conformity with the noninteracting case holds extends to the limit of
arbitrarily narrow DW's.
| cond-mat.str-el | dynamics of the magnetization in ferromagnets is examined in the presence of transport electrons allowing the latter to interact it is found that the existence of inhomogeneities such as domain wall dw structures leads to changes that affect the dynamical structure of the equations of motion for the magnetization only in the limit of uniform magnetizations or sufficiently wide dws the equations of motion maintain the form they have in the noninteracting case in this limit results like the spin torques the gilbert parameter and the dw velocities become renormalized however the length scale that defines such a limit depends on the strength of the interaction it is shown that if large ferromagnetic fluctuations exist in the metallic band then the range for which conformity with the noninteracting case holds extends to the limit of arbitrarily narrow dws | [['dynamics', 'of', 'the', 'magnetization', 'in', 'ferromagnets', 'is', 'examined', 'in', 'the', 'presence', 'of', 'transport', 'electrons', 'allowing', 'the', 'latter', 'to', 'interact', 'it', 'is', 'found', 'that', 'the', 'existence', 'of', 'inhomogeneities', 'such', 'as', 'domain', 'wall', 'dw', 'structures', 'leads', 'to', 'changes', 'that', 'affect', 'the', 'dynamical', 'structure', 'of', 'the', 'equations', 'of', 'motion', 'for', 'the', 'magnetization', 'only', 'in', 'the', 'limit', 'of', 'uniform', 'magnetizations', 'or', 'sufficiently', 'wide', 'dws', 'the', 'equations', 'of', 'motion', 'maintain', 'the', 'form', 'they', 'have', 'in', 'the', 'noninteracting', 'case', 'in', 'this', 'limit', 'results', 'like', 'the', 'spin', 'torques', 'the', 'gilbert', 'parameter', 'and', 'the', 'dw', 'velocities', 'become', 'renormalized', 'however', 'the', 'length', 'scale', 'that', 'defines', 'such', 'a', 'limit', 'depends', 'on', 'the', 'strength', 'of', 'the', 'interaction', 'it', 'is', 'shown', 'that', 'if', 'large', 'ferromagnetic', 'fluctuations', 'exist', 'in', 'the', 'metallic', 'band', 'then', 'the', 'range', 'for', 'which', 'conformity', 'with', 'the', 'noninteracting', 'case', 'holds', 'extends', 'to', 'the', 'limit', 'of', 'arbitrarily', 'narrow', 'dws']] | [-0.18483021131132904, 0.18631327949275356, -0.056326653032253184, 0.02834876681563269, -0.06723067520584479, -0.07230525673282724, -0.0014565978072705152, 0.340283983009125, -0.28533929362353205, -0.2750112887664253, 0.05655161523010474, -0.2670699622873487, -0.08342630717316238, 0.19249052582544854, 0.04021518705944207, -0.018208624938647583, 0.02297791264499065, 0.033418504767578794, -0.03697016558177985, -0.1911097023403272, 0.29066738572673523, -0.03803083103528057, 0.29805332454650296, 0.07620397676415135, 0.08059941367516159, 0.019164067790911034, 0.10635521901312514, 0.06566743853002571, -0.13661189163816534, 0.04017866040969924, 0.1966270291912066, -0.06337435841492876, 0.2098142979413514, -0.437904114038616, -0.20645807009946177, 0.07384664872391285, 0.17966205265669935, 0.14230954402338955, 0.00107212590586826, -0.2698952092120991, 0.06312437704426871, -0.13325596920322572, -0.17025750607549064, -0.06550837662475913, 0.056299027379440224, 0.05673000831207584, -0.2501076553341683, 0.12315150851086862, 0.1328595059177673, 0.009502843973915215, -0.08754666949001451, -0.04686057122181291, -0.08121706789318958, 0.13026162710857403, 0.10461400044859266, 0.04078585485020059, 0.1576556744546616, -0.17825510876337974, -0.05451338028575739, 0.39268096522900503, -0.08103014871164266, -0.22609945799669492, 0.19599387080297279, -0.21784660083990867, -0.08001521912038974, 0.12944498021101605, 0.11179227232123198, 0.1144755345016745, -0.10136290367033023, 0.14339552457280713, -0.023725589696803818, 0.16311621833069628, 0.07299601047070346, 0.06054315197389519, 0.22453828133723658, 0.16676434731461864, 0.07834008558352977, 0.12186031371348308, -0.12169921678740639, -0.12572596382444212, -0.25562142364113877, -0.1272034890295101, -0.21781569332950682, 0.05742415501668617, -0.09816246783431279, -0.21469755712419958, 0.3702450659095674, 0.19871533768373015, 0.1839962849204523, 0.008369803189914133, 0.23244626663517262, 0.13300982096816238, 0.08503092184284891, 0.08562560821208509, 0.30054283040352975, 0.15329760709436666, 0.12777667363727654, -0.26690908880403225, 0.09042756969068685, -0.007232426826005289] |
711.4171 | Chandra observations of the pulsar PSR B1929+10 and its environment | We report on two Chandra observations of the 3-Myr pulsar B1929+10, which
reveal a faint compact (~9"x5") nebula elongated in the direction perpendicular
to the pulsar's proper motion, two patchy wings, and a possible short (~3") jet
emerging from the pulsar. In addition, we detect a tail extending up to at
least 4' in the direction opposite to the pulsar's proper motion, aligned with
the 15'-long tail detected in ROSAT and XMM-Newton observations. The overall
morphology of the nebula suggests that the shocked pulsar wind is confined by
the ram pressure due to the pulsar's supersonic speed. The shape of the compact
nebula in the immediate vicinity of the pulsar seems to be consistent with the
current MHD models. However, since these models do not account yet for the
change of the flow velocity at larger distances from the pulsar, they are not
able to constrain the extent of the long pulsar tail. The luminosity of the
whole nebula as seen by Chandra is ~10^30 ergs/s in the 0.3-8 keV band, for the
distance of 361 pc. Using the Chandra and XMM-Newton data, we found that the
pulsar spectrum is comprised of non-thermal (magnetospheric) and thermal
components. The non-thermal component can be described by a power-law model
with photon index ~1.7 and luminosity 1.7x10^30 ergs/s in the 0.3-10 keV band.
The blackbody fit for the thermal component, which presumably emerges from hot
polar caps, gives the temperature kT~0.3 keV and projected emitting area 3x10^3
m^2, corresponding to the bolometric luminosity ~(1-2)x10^30 ergs/s.
| astro-ph | we report on two chandra observations of the 3myr pulsar b192910 which reveal a faint compact 9x5 nebula elongated in the direction perpendicular to the pulsars proper motion two patchy wings and a possible short 3 jet emerging from the pulsar in addition we detect a tail extending up to at least 4 in the direction opposite to the pulsars proper motion aligned with the 15long tail detected in rosat and xmmnewton observations the overall morphology of the nebula suggests that the shocked pulsar wind is confined by the ram pressure due to the pulsars supersonic speed the shape of the compact nebula in the immediate vicinity of the pulsar seems to be consistent with the current mhd models however since these models do not account yet for the change of the flow velocity at larger distances from the pulsar they are not able to constrain the extent of the long pulsar tail the luminosity of the whole nebula as seen by chandra is 1030 ergss in the 038 kev band for the distance of 361 pc using the chandra and xmmnewton data we found that the pulsar spectrum is comprised of nonthermal magnetospheric and thermal components the nonthermal component can be described by a powerlaw model with photon index 17 and luminosity 17x1030 ergss in the 0310 kev band the blackbody fit for the thermal component which presumably emerges from hot polar caps gives the temperature kt03 kev and projected emitting area 3x103 m2 corresponding to the bolometric luminosity 12x1030 ergss | [['we', 'report', 'on', 'two', 'chandra', 'observations', 'of', 'the', '3myr', 'pulsar', 'b192910', 'which', 'reveal', 'a', 'faint', 'compact', '9x5', 'nebula', 'elongated', 'in', 'the', 'direction', 'perpendicular', 'to', 'the', 'pulsars', 'proper', 'motion', 'two', 'patchy', 'wings', 'and', 'a', 'possible', 'short', '3', 'jet', 'emerging', 'from', 'the', 'pulsar', 'in', 'addition', 'we', 'detect', 'a', 'tail', 'extending', 'up', 'to', 'at', 'least', '4', 'in', 'the', 'direction', 'opposite', 'to', 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711.4172 | Broadband optical delay with large dynamic range using atomic dispersion | We report on a tunable all-optical delay line for pulses with optical
frequency within the Rb $D_2$ absorption line. Using frequency tuning between
absorption components from different isotopes, pulses of 10 ns duration are
delayed in a 10 cm hot vapour cell by up to 40 ns while the transmission
remains above 10%. The use of two isotopes allows the delay to be increased or
decreased by optical pumping with a second laser, producing rapid tuning over a
range of more than 40% of the initial delay at 110$^{\circ}$C. We investigate
the frequency and intensity ranges in which this delay line can be realised.
Our observations are in good agreement with a numerical model of the system.
| physics.optics | we report on a tunable alloptical delay line for pulses with optical frequency within the rb d_2 absorption line using frequency tuning between absorption components from different isotopes pulses of 10 ns duration are delayed in a 10 cm hot vapour cell by up to 40 ns while the transmission remains above 10 the use of two isotopes allows the delay to be increased or decreased by optical pumping with a second laser producing rapid tuning over a range of more than 40 of the initial delay at 110circc we investigate the frequency and intensity ranges in which this delay line can be realised our observations are in good agreement with a numerical model of the system | [['we', 'report', 'on', 'a', 'tunable', 'alloptical', 'delay', 'line', 'for', 'pulses', 'with', 'optical', 'frequency', 'within', 'the', 'rb', 'd_2', 'absorption', 'line', 'using', 'frequency', 'tuning', 'between', 'absorption', 'components', 'from', 'different', 'isotopes', 'pulses', 'of', '10', 'ns', 'duration', 'are', 'delayed', 'in', 'a', '10', 'cm', 'hot', 'vapour', 'cell', 'by', 'up', 'to', '40', 'ns', 'while', 'the', 'transmission', 'remains', 'above', '10', 'the', 'use', 'of', 'two', 'isotopes', 'allows', 'the', 'delay', 'to', 'be', 'increased', 'or', 'decreased', 'by', 'optical', 'pumping', 'with', 'a', 'second', 'laser', 'producing', 'rapid', 'tuning', 'over', 'a', 'range', 'of', 'more', 'than', '40', 'of', 'the', 'initial', 'delay', 'at', '110circc', 'we', 'investigate', 'the', 'frequency', 'and', 'intensity', 'ranges', 'in', 'which', 'this', 'delay', 'line', 'can', 'be', 'realised', 'our', 'observations', 'are', 'in', 'good', 'agreement', 'with', 'a', 'numerical', 'model', 'of', 'the', 'system']] | [-0.1243573334519671, 0.17111105887733144, 0.032727185672887696, -0.041128010847324765, 0.015014393022283912, -0.16109023547273707, 0.12146749854055715, 0.5018675264597324, -0.21857458974459562, -0.34412787283032104, 0.07976645414801796, -0.24638422960147024, -0.007689084269604164, 0.27403830952444597, -0.002518863644017356, 0.009249919998872994, 0.04065201621390237, -0.0306596652672883, -0.07359279501894168, -0.16693492251817652, 0.2459203356571881, 0.06670612077517755, 0.23487654749850004, 0.032750410250847725, 0.0754620428799234, -0.05096018260368949, 0.007557873405387689, -0.04752101790127826, -0.07819188691290288, 0.08847458792673744, 0.2355686443564803, 0.04368778683871416, 0.23076154048361913, -0.40621624615621466, -0.27189549676078406, 0.0864497376726298, 0.14844997123823148, 0.12771963686300924, -0.028597072332496313, -0.2517481474366424, 0.07188538917950515, -0.16810218285436035, -0.1240137570601856, 0.024821594229032254, 0.04257155399255712, 0.08971125661377426, -0.26412251207913306, 0.05338433675130765, -0.03436609667099627, 0.1078573763771946, -0.061223548809407634, -0.06018572132372105, 0.006152698047587584, 0.050384303344140666, -0.027507662685820833, 0.020409391883857035, 0.15713184334715058, -0.08613151871270083, -0.06357950130316975, 0.37707218077387017, -0.1361640872367796, -0.05468430636643336, 0.15483308349864494, -0.17648137727519497, -0.02322277032914732, 0.24723333728515767, 0.12910393238216156, 0.10842060744120129, -0.09817617875624224, -0.04875014551186629, 0.02683800831738185, 0.29505339752107956, 0.1715886687301902, 0.06444069674053653, 0.21875309038521915, 0.20199603147419362, 0.03580901707096802, 0.10590509364405519, -0.16480230049386718, -0.049548556767243505, -0.24963411566769256, -0.1050952616035296, -0.1099037309779368, 0.07424165585062242, -0.09492371074345007, -0.05347103221745407, 0.4294640579228771, 0.12063203918635203, 0.21964016533256026, 0.030433377436691382, 0.29835533805930153, 0.1668006736867467, 0.05241558552270049, 0.020788665864905662, 0.2948866491366563, 0.14298618961013213, 0.13626624474498636, -0.2621264383761345, 0.030995855284533625, -0.06213248355900226] |
711.4173 | Non-thermal emission from old supernova remnants | We study the non-thermal emission from old shell-type supernova remnants
(SNRs) on the frame of a time-dependent model. In this model, the
time-dependent non-thermal spectra of both primary electrons and protons as
well as secondary electron/positron ($e^{\pm}$) pairs can be calculated
numerically by taking into account the evolution of the secondary $e^{\pm}$
pairs produced from proton-proton (p-p) interactions due to the accelerated
protons collide with the ambient matter in an SNR. The multi-wavelength photon
spectrum for a given SNR can be produced through leptonic processes such as
electron/positron synchrotron radiation, bremsstrahlung and inverse Compton
scattering as well as hadronic interaction. Our results indicate that the
non-thermal emission of the secondary $e^{\pm}$ pairs is becoming more and more
prominent when the SNR ages in the radiative phase because the source of the
primary electrons has been cut off and the electron synchrotron energy loss is
significant for a radiative SNR, whereas the secondary $e^{\pm}$ pairs can be
produced continuously for a long time in the phase due to the large energy loss
time for the p-p interaction. We apply the model to two old SNRs, G8.7$-$0.1
and G23.3$-$0.3, and the predicted results can explain the observed
multi-wavelength photon spectra for the two sources.
| astro-ph | we study the nonthermal emission from old shelltype supernova remnants snrs on the frame of a timedependent model in this model the timedependent nonthermal spectra of both primary electrons and protons as well as secondary electronpositron epm pairs can be calculated numerically by taking into account the evolution of the secondary epm pairs produced from protonproton pp interactions due to the accelerated protons collide with the ambient matter in an snr the multiwavelength photon spectrum for a given snr can be produced through leptonic processes such as electronpositron synchrotron radiation bremsstrahlung and inverse compton scattering as well as hadronic interaction our results indicate that the nonthermal emission of the secondary epm pairs is becoming more and more prominent when the snr ages in the radiative phase because the source of the primary electrons has been cut off and the electron synchrotron energy loss is significant for a radiative snr whereas the secondary epm pairs can be produced continuously for a long time in the phase due to the large energy loss time for the pp interaction we apply the model to two old snrs g8701 and g23303 and the predicted results can explain the observed multiwavelength photon spectra for the two sources | [['we', 'study', 'the', 'nonthermal', 'emission', 'from', 'old', 'shelltype', 'supernova', 'remnants', 'snrs', 'on', 'the', 'frame', 'of', 'a', 'timedependent', 'model', 'in', 'this', 'model', 'the', 'timedependent', 'nonthermal', 'spectra', 'of', 'both', 'primary', 'electrons', 'and', 'protons', 'as', 'well', 'as', 'secondary', 'electronpositron', 'epm', 'pairs', 'can', 'be', 'calculated', 'numerically', 'by', 'taking', 'into', 'account', 'the', 'evolution', 'of', 'the', 'secondary', 'epm', 'pairs', 'produced', 'from', 'protonproton', 'pp', 'interactions', 'due', 'to', 'the', 'accelerated', 'protons', 'collide', 'with', 'the', 'ambient', 'matter', 'in', 'an', 'snr', 'the', 'multiwavelength', 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711.4174 | High Field Performance of Nano-Diamond Doped MgB2 Superconductor | Polycrystalline MgB2-nDx (x= 0 to 0.1) samples are synthesized by solid-state
route with ingredients of Mg, B and n-Diamond. The results from
magneto-transport and magnetization of nano-diamond doped MgB2-nDx are
reported. Superconducting transition temperature (Tc) is not affected
significantly by x up to x = 0.05 and latter decreases slightly for higher x >
0.05. R(T) vs H measurements show higher Tc values under same applied magnetic
fields for the nano-diamond added samples, resulting in higher estimated Hc2
values. From the magnetization measurements it was found that irreversibility
field value Hirr for the pristine sample is 7.5 Tesla at 4 K and the same is
increased to 13.5 Tesla for 3-wt% nD added sample at the same temperature. The
Jc(H) plots at all temperatures show that Jc value is lowest at all applied
fields for pristine MgB2 and the sample doped with 3-wt% nD gives the best Jc
values at all fields. For the pure sample the value of Jc is of the order of
105 A/cm2 at lower fields but it decreases very fast as the magnetic field is
applied and becomes negligible above 7 Tesla. The Jc is 40 times higher than
pure MgB2 at 10 K at 6 Tesla field in case of 3%nD doped sample and its value
is still of the order of 103 A/cm2 at 10 Tesla for the same sample. On the
other hand at 20K the 5%nD sample shows the best performance at higher fields.
These results are discussed in terms of extrinsic pinning due to dispersed
n-Diamond in the host MgB2 matrix along with the intrinsic pinning due to
possible substitution of C at Boron site and increased inter-band scattering
for highly doped samples resulting in extraordinary performance of the doped
system.
| cond-mat.supr-con | polycrystalline mgb2ndx x 0 to 01 samples are synthesized by solidstate route with ingredients of mg b and ndiamond the results from magnetotransport and magnetization of nanodiamond doped mgb2ndx are reported superconducting transition temperature tc is not affected significantly by x up to x 005 and latter decreases slightly for higher x 005 rt vs h measurements show higher tc values under same applied magnetic fields for the nanodiamond added samples resulting in higher estimated hc2 values from the magnetization measurements it was found that irreversibility field value hirr for the pristine sample is 75 tesla at 4 k and the same is increased to 135 tesla for 3wt nd added sample at the same temperature the jch plots at all temperatures show that jc value is lowest at all applied fields for pristine mgb2 and the sample doped with 3wt nd gives the best jc values at all fields for the pure sample the value of jc is of the order of 105 acm2 at lower fields but it decreases very fast as the magnetic field is applied and becomes negligible above 7 tesla the jc is 40 times higher than pure mgb2 at 10 k at 6 tesla field in case of 3nd doped sample and its value is still of the order of 103 acm2 at 10 tesla for the same sample on the other hand at 20k the 5nd sample shows the best performance at higher fields these results are discussed in terms of extrinsic pinning due to dispersed ndiamond in the host mgb2 matrix along with the intrinsic pinning due to possible substitution of c at boron site and increased interband scattering for highly doped samples resulting in extraordinary performance of the doped system | [['polycrystalline', 'mgb2ndx', 'x', '0', 'to', '01', 'samples', 'are', 'synthesized', 'by', 'solidstate', 'route', 'with', 'ingredients', 'of', 'mg', 'b', 'and', 'ndiamond', 'the', 'results', 'from', 'magnetotransport', 'and', 'magnetization', 'of', 'nanodiamond', 'doped', 'mgb2ndx', 'are', 'reported', 'superconducting', 'transition', 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711.4175 | Graph Entropy, Network Coding and Guessing games | We introduce the (private) entropy of a directed graph (in a new network
coding sense) as well as a number of related concepts. We show that the entropy
of a directed graph is identical to its guessing number and can be bounded from
below with the number of vertices minus the size of the graph's shortest index
code. We show that the Network Coding solvability of each specific multiple
unicast network is completely determined by the entropy (as well as by the
shortest index code) of the directed graph that occur by identifying each
source node with each corresponding target node.
Shannon's information inequalities can be used to calculate upper bounds on a
graph's entropy as well as calculating the size of the minimal index code.
Recently, a number of new families of so-called non-shannon-type information
inequalities have been discovered. It has been shown that there exist
communication networks with a capacity strictly less than required for
solvability, but where this fact cannot be derived using Shannon's classical
information inequalities. Based on this result we show that there exist graphs
with an entropy that cannot be calculated using only Shannon's classical
information inequalities, and show that better estimate can be obtained by use
of certain non-shannon-type information inequalities.
| math.CO cs.IT math.IT | we introduce the private entropy of a directed graph in a new network coding sense as well as a number of related concepts we show that the entropy of a directed graph is identical to its guessing number and can be bounded from below with the number of vertices minus the size of the graphs shortest index code we show that the network coding solvability of each specific multiple unicast network is completely determined by the entropy as well as by the shortest index code of the directed graph that occur by identifying each source node with each corresponding target node shannons information inequalities can be used to calculate upper bounds on a graphs entropy as well as calculating the size of the minimal index code recently a number of new families of socalled nonshannontype information inequalities have been discovered it has been shown that there exist communication networks with a capacity strictly less than required for solvability but where this fact cannot be derived using shannons classical information inequalities based on this result we show that there exist graphs with an entropy that cannot be calculated using only shannons classical information inequalities and show that better estimate can be obtained by use of certain nonshannontype information inequalities | [['we', 'introduce', 'the', 'private', 'entropy', 'of', 'a', 'directed', 'graph', 'in', 'a', 'new', 'network', 'coding', 'sense', 'as', 'well', 'as', 'a', 'number', 'of', 'related', 'concepts', 'we', 'show', 'that', 'the', 'entropy', 'of', 'a', 'directed', 'graph', 'is', 'identical', 'to', 'its', 'guessing', 'number', 'and', 'can', 'be', 'bounded', 'from', 'below', 'with', 'the', 'number', 'of', 'vertices', 'minus', 'the', 'size', 'of', 'the', 'graphs', 'shortest', 'index', 'code', 'we', 'show', 'that', 'the', 'network', 'coding', 'solvability', 'of', 'each', 'specific', 'multiple', 'unicast', 'network', 'is', 'completely', 'determined', 'by', 'the', 'entropy', 'as', 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711.4176 | A unified approach to the derivation of work theorems for equilibrium
and steady-state, classical and quantum Hamiltonian systems | We present a unified and simple method for deriving work theorems for
classical and quantum Hamiltonian systems, both under equilibrium conditions
and in a steady state. Throughout the paper, we adopt the partitioning of the
total Hamiltonian into the system part, the bath part, and their coupling. We
rederive many equalities which are available in the literature and obtain a
number of new equalities for nonequilibrium classical and quantum systems. Our
results can be useful for determining partition functions and (generalized)
free energies through simulations and/or measurements performed on
nonequilibrium systems.
| cond-mat.stat-mech | we present a unified and simple method for deriving work theorems for classical and quantum hamiltonian systems both under equilibrium conditions and in a steady state throughout the paper we adopt the partitioning of the total hamiltonian into the system part the bath part and their coupling we rederive many equalities which are available in the literature and obtain a number of new equalities for nonequilibrium classical and quantum systems our results can be useful for determining partition functions and generalized free energies through simulations andor measurements performed on nonequilibrium systems | [['we', 'present', 'a', 'unified', 'and', 'simple', 'method', 'for', 'deriving', 'work', 'theorems', 'for', 'classical', 'and', 'quantum', 'hamiltonian', 'systems', 'both', 'under', 'equilibrium', 'conditions', 'and', 'in', 'a', 'steady', 'state', 'throughout', 'the', 'paper', 'we', 'adopt', 'the', 'partitioning', 'of', 'the', 'total', 'hamiltonian', 'into', 'the', 'system', 'part', 'the', 'bath', 'part', 'and', 'their', 'coupling', 'we', 'rederive', 'many', 'equalities', 'which', 'are', 'available', 'in', 'the', 'literature', 'and', 'obtain', 'a', 'number', 'of', 'new', 'equalities', 'for', 'nonequilibrium', 'classical', 'and', 'quantum', 'systems', 'our', 'results', 'can', 'be', 'useful', 'for', 'determining', 'partition', 'functions', 'and', 'generalized', 'free', 'energies', 'through', 'simulations', 'andor', 'measurements', 'performed', 'on', 'nonequilibrium', 'systems']] | [-0.12215493222350603, 0.11711397917255513, -0.12386040715500712, 0.06693653856496234, 0.007129776017781306, -0.12274164475684801, 0.07151921089753958, 0.30192274530674074, -0.2457776220801931, -0.2907290136502994, 0.09776574167023812, -0.24625943088392308, -0.12331264648218077, 0.24988827854394913, -0.0016334994982641477, 0.08816352340259723, 0.10568370052851106, -0.007167018430594068, -0.08215408098300571, -0.20377982953041382, 0.3266549243433094, 0.011381070130852634, 0.2373383816659123, 0.08187276510468039, 0.08691721693049748, 0.05175720447172912, 0.015349697853837694, 0.043805571989371225, -0.18382704468791958, 0.09979201325184696, 0.2447874697621216, 0.1066738429510004, 0.2422575520474341, -0.471509093439186, -0.2141370092426519, 0.0903071802273229, 0.1286265563813376, 0.15324518303412452, -0.033963433066274265, -0.2523574250760478, 0.02908213904311696, -0.18498277943581343, -0.119016995878665, -0.15033143916893954, -0.023066022323321674, 0.021227945233337008, -0.26325922131865886, 0.09737827721471479, 0.07145969107539833, 0.054589058415820964, -0.10185188303732283, -0.12533611441312542, 0.028940705390606117, 0.16024215991358057, -0.03618434828368353, -0.03205170992065917, 0.12722156080161476, -0.12297632138930507, -0.09667400268141876, 0.37585974819344153, -0.03474514038240598, -0.2207618669535105, 0.2199228908866644, -0.07438939406567223, -0.18719513351507075, 0.03825719871527546, 0.16767321457410908, 0.15791277135057108, -0.22573862150106783, 0.08517552911275793, -0.03026615369778413, 0.10963774260368894, -0.010079977895737021, 0.06255882799850551, 0.18987794035206457, 0.08687289363121266, 0.05135714385471726, 0.19588703215557182, -0.013861394755972119, -0.1884821111970878, -0.32075419776387265, -0.1753742186721046, -0.18406671373644373, 0.05013496324338101, -0.0612429418528496, -0.14361183121186363, 0.40809439714220197, 0.14915077384064937, 0.13691992490746818, 0.0808632579046189, 0.27568758893144, 0.1773909976511457, -0.0008244295834799062, 0.08342050271784211, 0.2168693739644528, 0.17461138013443286, 0.09390150878455612, -0.21076392800455074, 0.027772999563059963, 0.08710939432289656] |
711.4177 | Generation of polarization entanglement from spatially-correlated
photons in spontaneous parametric down-conversion | We propose a novel scheme to generate polarization entanglement from
spatially-correlated photon pairs. We experimentally realized a scheme by means
of a spatial correlation effect in a spontaneous parametric down-conversion and
a modified Michelson interferometer. The scheme we propose in this paper can be
interpreted as a conversion process from spatial correlation to polarization
entanglement.
| quant-ph | we propose a novel scheme to generate polarization entanglement from spatiallycorrelated photon pairs we experimentally realized a scheme by means of a spatial correlation effect in a spontaneous parametric downconversion and a modified michelson interferometer the scheme we propose in this paper can be interpreted as a conversion process from spatial correlation to polarization entanglement | [['we', 'propose', 'a', 'novel', 'scheme', 'to', 'generate', 'polarization', 'entanglement', 'from', 'spatiallycorrelated', 'photon', 'pairs', 'we', 'experimentally', 'realized', 'a', 'scheme', 'by', 'means', 'of', 'a', 'spatial', 'correlation', 'effect', 'in', 'a', 'spontaneous', 'parametric', 'downconversion', 'and', 'a', 'modified', 'michelson', 'interferometer', 'the', 'scheme', 'we', 'propose', 'in', 'this', 'paper', 'can', 'be', 'interpreted', 'as', 'a', 'conversion', 'process', 'from', 'spatial', 'correlation', 'to', 'polarization', 'entanglement']] | [-0.1387441799875391, 0.15848163940351118, -0.13759192467074502, 0.07503636162215446, -0.027762013470584695, -0.15129094438796695, 0.07581582164857537, 0.47807136709717185, -0.285786802389405, -0.26893718439069664, -0.009415126536888155, -0.1956345871090889, -0.1681516669690609, 0.1829386732456359, -0.0359209823676131, 0.07714855077634142, -0.01332897139205174, -0.0796315757647707, -0.03381003293801438, -0.11336323011835868, 0.3148837090893225, 0.06143520213663578, 0.38089286122809757, 0.018010492859916252, 0.2181514640592716, -0.023211522950706158, -0.006410412117838859, 0.019590563208542088, -0.04782742776653983, 0.10854906804266978, 0.20616940000009806, 0.11095323680730707, 0.23132570314813744, -0.3695688844404437, -0.23293786294419658, 0.11776402789083394, 0.155464469878511, 0.22575282573022626, -0.07133924097500065, -0.3203443081541495, -0.0366181976754557, -0.2523730920458382, -0.06817549200389873, -0.0868927961723371, -0.09177094691179015, -0.061658946180250494, -0.36731754053722726, 0.11315837907181545, 0.012831495295871388, 0.028972447985275224, 0.08910674705085429, 0.06413097286766226, 0.010601246627894315, 0.017241875370117753, -0.07286260813866234, 0.01669483549723571, 0.08292194803838025, -0.05885825679446994, -0.20475413198794493, 0.35380692273611203, -0.15863881480287423, -0.22090611874379895, 0.06936155865815553, -0.1426221027970314, -0.06605121842162176, 0.11442112231796438, 0.2270310331813314, 0.14723545091904022, -0.16240395967933266, -0.038289119558281855, -0.02117954341864044, 0.2329038868234916, 0.11802282734689387, 0.14517419097775763, 0.23518878011540933, 0.14334222545677966, 0.009808987616138024, 0.27165767027022825, -0.16426301232793114, -0.02429198453372175, -0.31507677124305206, -0.1530095114288005, -0.21263877797702496, 0.07447691804898733, -0.033004986162202175, -0.065677594486624, 0.4098806731514659, 0.1564451935193078, 0.19615030794997107, -0.01977557565339587, 0.32887234840203416, 0.15120628389572216, 0.08363082410598344, -0.010207128795710478, 0.2473893780599941, 0.10364651380699466, 0.09151286286386577, -0.2473188080994243, 0.027580748303708706, 0.03844738563692028] |
711.4178 | Computational modeling of beam-customization devices for
heavy-charged-particle radiotherapy | A model for beam customization with collimators and a range-compensating
filter based on the phase-space theory for beam transport is presented for dose
distribution calculation in treatment planning of radiotherapy with protons and
heavier ions. Independent handling of pencil beams in conventional pencil-beam
algorithms causes unphysical collimator-height dependence in the middle of
large fields, which is resolved by the framework comprised of generation,
transport, collimation, regeneration, range-compensation, and edge-sharpening
processes with a matrix of pencil beams. The model was verified to be
consistent with measurement and analytic estimation at a submillimeter level in
penumbra of individual collimators with a combinational-collimated carbon-ion
beam. The model computation is fast, accurate, and readily applicable to
pencil-beam algorithms in treatment planning with capability of combinational
collimation to make best use of the beam-customization devices.
| physics.med-ph | a model for beam customization with collimators and a rangecompensating filter based on the phasespace theory for beam transport is presented for dose distribution calculation in treatment planning of radiotherapy with protons and heavier ions independent handling of pencil beams in conventional pencilbeam algorithms causes unphysical collimatorheight dependence in the middle of large fields which is resolved by the framework comprised of generation transport collimation regeneration rangecompensation and edgesharpening processes with a matrix of pencil beams the model was verified to be consistent with measurement and analytic estimation at a submillimeter level in penumbra of individual collimators with a combinationalcollimated carbonion beam the model computation is fast accurate and readily applicable to pencilbeam algorithms in treatment planning with capability of combinational collimation to make best use of the beamcustomization devices | [['a', 'model', 'for', 'beam', 'customization', 'with', 'collimators', 'and', 'a', 'rangecompensating', 'filter', 'based', 'on', 'the', 'phasespace', 'theory', 'for', 'beam', 'transport', 'is', 'presented', 'for', 'dose', 'distribution', 'calculation', 'in', 'treatment', 'planning', 'of', 'radiotherapy', 'with', 'protons', 'and', 'heavier', 'ions', 'independent', 'handling', 'of', 'pencil', 'beams', 'in', 'conventional', 'pencilbeam', 'algorithms', 'causes', 'unphysical', 'collimatorheight', 'dependence', 'in', 'the', 'middle', 'of', 'large', 'fields', 'which', 'is', 'resolved', 'by', 'the', 'framework', 'comprised', 'of', 'generation', 'transport', 'collimation', 'regeneration', 'rangecompensation', 'and', 'edgesharpening', 'processes', 'with', 'a', 'matrix', 'of', 'pencil', 'beams', 'the', 'model', 'was', 'verified', 'to', 'be', 'consistent', 'with', 'measurement', 'and', 'analytic', 'estimation', 'at', 'a', 'submillimeter', 'level', 'in', 'penumbra', 'of', 'individual', 'collimators', 'with', 'a', 'combinationalcollimated', 'carbonion', 'beam', 'the', 'model', 'computation', 'is', 'fast', 'accurate', 'and', 'readily', 'applicable', 'to', 'pencilbeam', 'algorithms', 'in', 'treatment', 'planning', 'with', 'capability', 'of', 'combinational', 'collimation', 'to', 'make', 'best', 'use', 'of', 'the', 'beamcustomization', 'devices']] | [-0.03672603975545855, 0.11252622202699704, -0.06936099926655691, 0.03102992786349909, -0.042017404388095585, -0.17101100269299482, -0.003215132100458798, 0.4444503720339027, -0.18752346158538374, -0.3358629147011426, 0.05297186730275562, -0.25100615533489373, -0.020380709744659404, 0.21885142009376712, -0.043986348934507286, 0.10189151916382534, 0.11061881956899719, -0.061052955086192774, -0.037595936218314176, -0.16093788718083693, 0.24280631114097853, 0.15791723887706477, 0.2913158239849332, 0.04628867189580154, 0.12749580203765823, 0.06517082026543757, -0.026014636995481146, -0.012932576351769028, -0.05927569167913809, 0.132595211201753, 0.2613914690596322, 0.11503677791393609, 0.23664944979452318, -0.44058196401343713, -0.22435143157171325, 0.0324289336267318, 0.1478626432738477, 0.1001715010976524, -0.06611674228465304, -0.216034397573, 0.03881605686957858, -0.15642771302842565, -0.1583618479206991, -0.040390796683383204, -0.030425442977913567, 0.0465639844206312, -0.334360862203363, 0.03588029269444486, -0.01483950198106017, 0.08071893479040403, -0.04108916546348126, -0.1427448950219719, 0.024581462832077617, 0.05244933921963938, 0.015948105625049662, 0.03250861816195538, 0.1618400720138696, -0.14224230252852244, -0.11069451970979571, 0.4112956676361782, 0.001562355473006685, -0.20839369960031623, 0.12132830515826842, -0.17924796033184975, -0.07154298247018408, 0.2216847594526987, 0.21103048520425574, 0.13428944012998872, -0.16095868384394224, -0.004123089829884139, 0.03584696084726602, 0.15757924921795605, 0.06327932648315665, -0.01731963760610069, 0.19239688980498262, 0.22945542782244663, 0.05234286581136046, 0.1047640104896404, -0.13210358800208796, -0.06412383924414884, -0.2947397866406508, -0.15273357529065013, -0.11889465035675394, -0.004537978600109777, -0.02945910802337758, -0.16047268859561412, 0.38613358691650174, 0.14956104982599255, 0.13865127806521713, 0.00706953997066575, 0.3757733006871516, 0.07966605200612496, 0.10007092493751477, 0.05778546037242537, 0.21939054238910397, 0.15076225601144194, 0.10037201572765386, -0.22828889560262342, 0.07764171158534384, 0.013600665439415963] |
711.4179 | On Distributed Averaging Algorithms and Quantization Effects | We consider distributed iterative algorithms for the averaging problem over
time-varying topologies. Our focus is on the convergence time of such
algorithms when complete (unquantized) information is available, and on the
degradation of performance when only quantized information is available. We
study a large and natural class of averaging algorithms, which includes the
vast majority of algorithms proposed to date, and provide tight polynomial
bounds on their convergence time. We also describe an algorithm within this
class whose convergence time is the best among currently available averaging
algorithms for time-varying topologies. We then propose and analyze distributed
averaging algorithms under the additional constraint that agents can only store
and communicate quantized information, so that they can only converge to the
average of the initial values of the agents within some error. We establish
bounds on the error and tight bounds on the convergence time, as a function of
the number of quantization levels.
| math.OC | we consider distributed iterative algorithms for the averaging problem over timevarying topologies our focus is on the convergence time of such algorithms when complete unquantized information is available and on the degradation of performance when only quantized information is available we study a large and natural class of averaging algorithms which includes the vast majority of algorithms proposed to date and provide tight polynomial bounds on their convergence time we also describe an algorithm within this class whose convergence time is the best among currently available averaging algorithms for timevarying topologies we then propose and analyze distributed averaging algorithms under the additional constraint that agents can only store and communicate quantized information so that they can only converge to the average of the initial values of the agents within some error we establish bounds on the error and tight bounds on the convergence time as a function of the number of quantization levels | [['we', 'consider', 'distributed', 'iterative', 'algorithms', 'for', 'the', 'averaging', 'problem', 'over', 'timevarying', 'topologies', 'our', 'focus', 'is', 'on', 'the', 'convergence', 'time', 'of', 'such', 'algorithms', 'when', 'complete', 'unquantized', 'information', 'is', 'available', 'and', 'on', 'the', 'degradation', 'of', 'performance', 'when', 'only', 'quantized', 'information', 'is', 'available', 'we', 'study', 'a', 'large', 'and', 'natural', 'class', 'of', 'averaging', 'algorithms', 'which', 'includes', 'the', 'vast', 'majority', 'of', 'algorithms', 'proposed', 'to', 'date', 'and', 'provide', 'tight', 'polynomial', 'bounds', 'on', 'their', 'convergence', 'time', 'we', 'also', 'describe', 'an', 'algorithm', 'within', 'this', 'class', 'whose', 'convergence', 'time', 'is', 'the', 'best', 'among', 'currently', 'available', 'averaging', 'algorithms', 'for', 'timevarying', 'topologies', 'we', 'then', 'propose', 'and', 'analyze', 'distributed', 'averaging', 'algorithms', 'under', 'the', 'additional', 'constraint', 'that', 'agents', 'can', 'only', 'store', 'and', 'communicate', 'quantized', 'information', 'so', 'that', 'they', 'can', 'only', 'converge', 'to', 'the', 'average', 'of', 'the', 'initial', 'values', 'of', 'the', 'agents', 'within', 'some', 'error', 'we', 'establish', 'bounds', 'on', 'the', 'error', 'and', 'tight', 'bounds', 'on', 'the', 'convergence', 'time', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'quantization', 'levels']] | [-0.13869817001170684, 0.04533473557263409, -0.058599019633131286, 0.0755848020758005, -0.06576828227615823, -0.1374172598726171, 0.09950517095835405, 0.41471806277819223, -0.2768762101559273, -0.3182324357178622, 0.1513639734084018, -0.21602882374248472, -0.13332309005203735, 0.21142498962581158, -0.09921147331315415, 0.07790126902855145, 0.09391471394185537, 0.11650441329963536, -0.08104834274854511, -0.3528812898131197, 0.2652396103542213, 0.06105063604251816, 0.2775801112936213, 0.017027930829451827, 0.13866901412009705, 0.0009816242594978, -0.03189451711593208, 0.023159289988232593, -0.14951766353129833, 0.12151365086141049, 0.23292683358334637, 0.1776951101024215, 0.31476580917689145, -0.41541956534329194, -0.1550836251512949, 0.1529249594017279, 0.15898038642907064, 0.13017076661953325, -0.013291569926556857, -0.2642324303985981, 0.11751870931053132, -0.10490239567725974, 0.0019008513354373717, -0.1007050380865538, -0.01860861667109276, 0.09476135657772164, -0.3182916008179484, 0.03934750105600555, 0.05511214724114907, 0.028704545278029115, -0.07303720544354102, -0.11328197002800461, 0.05685940287623774, 0.15536515303815904, 0.03725887373092834, -0.02157086899482761, 0.10690061309454, -0.0829886204420035, -0.12467041952852038, 0.34597563304104445, -0.05477892234464925, -0.22412960647507965, 0.15637675981232105, -0.08511905591886222, -0.1587651466549027, 0.11942563712706461, 0.24532137081343558, 0.15178652465331302, -0.14139347235931637, 0.10635289359073842, -0.060893945067244416, 0.1678215425485879, 0.026175768554417625, 0.09915169215535903, 0.10163990847821183, 0.15684264414073304, 0.1632928725094626, 0.11612846206544954, -0.06269748884350597, -0.14665673123337816, -0.29704350991831985, -0.11316370575086158, -0.21385872449719778, 0.008782377428515188, -0.12622525041342372, -0.15757511632617416, 0.3902420120928558, 0.17974282983763545, 0.18093460233687284, 0.15112648526696623, 0.34637126138470337, 0.1006637703158643, 0.05186611419586233, 0.1688183995901175, 0.222475326579335, 0.08403277476439922, 0.0605594778084957, -0.19453166396010155, 0.1210006282062215, 0.04350993080442053] |
711.418 | Finsleroid-regular space developed. Berwald case | The Finsleroid--Finsler space becomes regular when the norm $||b||=c$ of the
input 1-form $b$ is taken to be an arbitrary positive scalar $c(x) < 1$. By
performing required direct evaluations, the respective spray coefficients have
been obtained in a simple and transparent form. The adequate continuation into
the regular pseudo-Finsleroid domain has been indicated. The Finsleroid-regular
Berwald space is found under the assumptions that the Finsleroid charge is a
constant and the 1-form $b$ is parallel.
Keywords: Finsler metrics, spray coefficients, curvature tensors.
| math.DG math-ph math.MP | the finsleroidfinsler space becomes regular when the norm bc of the input 1form b is taken to be an arbitrary positive scalar cx 1 by performing required direct evaluations the respective spray coefficients have been obtained in a simple and transparent form the adequate continuation into the regular pseudofinsleroid domain has been indicated the finsleroidregular berwald space is found under the assumptions that the finsleroid charge is a constant and the 1form b is parallel keywords finsler metrics spray coefficients curvature tensors | [['the', 'finsleroidfinsler', 'space', 'becomes', 'regular', 'when', 'the', 'norm', 'bc', 'of', 'the', 'input', '1form', 'b', 'is', 'taken', 'to', 'be', 'an', 'arbitrary', 'positive', 'scalar', 'cx', '1', 'by', 'performing', 'required', 'direct', 'evaluations', 'the', 'respective', 'spray', 'coefficients', 'have', 'been', 'obtained', 'in', 'a', 'simple', 'and', 'transparent', 'form', 'the', 'adequate', 'continuation', 'into', 'the', 'regular', 'pseudofinsleroid', 'domain', 'has', 'been', 'indicated', 'the', 'finsleroidregular', 'berwald', 'space', 'is', 'found', 'under', 'the', 'assumptions', 'that', 'the', 'finsleroid', 'charge', 'is', 'a', 'constant', 'and', 'the', '1form', 'b', 'is', 'parallel', 'keywords', 'finsler', 'metrics', 'spray', 'coefficients', 'curvature', 'tensors']] | [-0.18376042516674937, 0.10920532057562235, -0.0722100817539485, 0.05395548158643267, -0.155967490134261, -0.16174809888811645, -0.07340473206940948, 0.3935894645159928, -0.25312812987533284, -0.18175193942265538, 0.10685001381547986, -0.24979373197093968, -0.13093565453820658, 0.14863465246517302, -0.03207547331183422, 0.047773026497807444, 0.03067281747679794, 0.11771220987287873, -0.10944868040997989, -0.26489433893797604, 0.3529504454228095, 0.035509490322821385, 0.24417746412317928, 0.06323993709378467, 0.12694492527261014, -0.03486423632811483, -0.04683715865447572, 0.059370356887151636, -0.1665104569150483, 0.04340967869885811, 0.1990630977684859, 0.1143939606561439, 0.22774799825430553, -0.38906723726540804, -0.22004885697828197, 0.11697062524035573, 0.08849607235411318, -0.019626628170244215, -0.021681370362696215, -0.31483789922374233, 0.11094115361594027, -0.09359714297986613, -0.10235329694114625, -0.09139596949410965, 0.08017450059968524, -0.022105622673180045, -0.3087316875732163, 0.037458360604033236, 0.06560268182103045, 0.059326188036853945, -0.10028896357000965, -0.13653433410359955, -0.049741999053100984, 0.10928350602306437, 0.0655478571496177, 0.11629085245445689, 0.11424937951392722, -0.056464155030681, -0.0491884130964669, 0.3762368932820675, -0.07636066526742424, -0.34554749058286954, 0.09712499373865019, -0.14770662386492803, -0.05657252138366968, 0.15030324325908156, 0.06903147600341315, 0.13537950331640497, -0.11243515426279528, 0.20416962406910366, -0.04092313247596527, 0.12322331290896528, 0.10323270310352488, -0.030303986237679676, 0.13142550366408215, 0.07033248071660991, 0.06551128899871667, 0.11326063450897203, -0.008699714160728745, -0.06810005425430107, -0.3138671091462417, -0.2398971112689185, -0.1701720008831017, 0.09764796529510399, -0.1406953145683141, -0.15629905488387477, 0.33989610525540914, -0.028085755661311673, 0.1744627405480459, 0.030252473888827895, 0.28264639067758873, 0.12252026745231777, 0.061734148332417554, 0.07990116029750646, 0.22784990667672148, 0.18533727713213188, 0.12462711904379653, -0.1204457143775937, 0.06418262544178926, 0.09662373375329303] |
711.4181 | The Cosmic Horizon | The cosmological principle, promoting the view that the universe is
homogeneous and isotropic, is embodied within the mathematical structure of the
Robertson-Walker (RW) metric. The equations derived from an application of this
metric to the Einstein Field Equations describe the expansion of the universe
in terms of comoving coordinates, from which physical distances may be derived
using a time-dependent expansion factor. These coordinates, however, do not
explicitly reveal properties of the cosmic spacetime manifested in Birkhoff's
theorem and its corollary. In this paper, we compare two forms of the
metric--written in (the traditional) comoving coordinates, and a set of
observer-dependent coordinates--first for the well-known de Sitter universe
containing only dark energy, and then for a newly derived form of the RW
metric, for a universe with dark energy and matter. We show that Rindler's
event horizon--evident in the co-moving system--coincides with what one might
call the "curvature horizon" appearing in the observer-dependent frame. The
advantage of this dual prescription of the cosmic spacetime is that with the
latest WMAP results, we now have a much better determination of the universe's
mass-energy content, which permits us to calculate this curvature with
unprecedented accuracy. We use it here to demonstrate that our observations
have probed the limit beyond which the cosmic curvature prevents any signal
from having ever reached us. In the case of de Sitter, where the mass-energy
density is a constant, this limit is fixed for all time. For a universe with a
changing density, this horizon expands until de Sitter is reached
asymptotically, and then it too ceases to change.
| astro-ph gr-qc hep-ph hep-th math-ph math.MP | the cosmological principle promoting the view that the universe is homogeneous and isotropic is embodied within the mathematical structure of the robertsonwalker rw metric the equations derived from an application of this metric to the einstein field equations describe the expansion of the universe in terms of comoving coordinates from which physical distances may be derived using a timedependent expansion factor these coordinates however do not explicitly reveal properties of the cosmic spacetime manifested in birkhoffs theorem and its corollary in this paper we compare two forms of the metricwritten in the traditional comoving coordinates and a set of observerdependent coordinatesfirst for the wellknown de sitter universe containing only dark energy and then for a newly derived form of the rw metric for a universe with dark energy and matter we show that rindlers event horizonevident in the comoving systemcoincides with what one might call the curvature horizon appearing in the observerdependent frame the advantage of this dual prescription of the cosmic spacetime is that with the latest wmap results we now have a much better determination of the universes massenergy content which permits us to calculate this curvature with unprecedented accuracy we use it here to demonstrate that our observations have probed the limit beyond which the cosmic curvature prevents any signal from having ever reached us in the case of de sitter where the massenergy density is a constant this limit is fixed for all time for a universe with a changing density this horizon expands until de sitter is reached asymptotically and then it too ceases to change | [['the', 'cosmological', 'principle', 'promoting', 'the', 'view', 'that', 'the', 'universe', 'is', 'homogeneous', 'and', 'isotropic', 'is', 'embodied', 'within', 'the', 'mathematical', 'structure', 'of', 'the', 'robertsonwalker', 'rw', 'metric', 'the', 'equations', 'derived', 'from', 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711.4182 | Suzaku Observation of the Anomalous X-ray Pulsar CXOU J164710.2--455216 | Suzaku TOO observation of the anomalous X-ray pulsar CXOU J164710.2-455216
was performed on 2006 September 23--24 for a net exposure of 38.8 ks. During
the observation, the XIS was operated in 1/8 window option to achieve a time
resolution of 1 s. Pulsations are clearly detected in the XIS light curves with
a barycenter corrected pulse period of 10.61063(2) s. The XIS pulse profile
shows 3 peaks of different amplitudes with RMS fractional amplitude of ~11% in
0.2--6.0 keV energy band. Though the source was observed with the HXD of
Suzaku, the data is highly contaminated by the nearby bright X-ray source GX
340+0 which was in the HXD field of view. The 1-10 keV XIS spectra are well
fitted by two blackbody components. The temperatures of two blackbody
components are found to be 0.61+/-0.01 keV and 1.22+/-0.06 keV and the value of
the absorption column density is 1.73+/-0.03 x 10^{22} atoms cm^{-2}. The
observed source flux in 1-10 keV energy range is calculated to be 2.6 x
10^{-11} ergs cm^{-2} s^{-1} with significant contribution from the soft
blackbody component (kT = 0.61 keV). Pulse phase resolved spectroscopy of XIS
data shows that the flux of the soft blackbody component consists of three
narrow peaks, whereas the flux of the other component shows a single peak over
the pulse period of the AXP. The blackbody radii changes between 2.2-2.7 km and
0.28-0.38 km (assuming the source distance to be 5 kpc) over pulse phases for
the soft and hard components, respectively. The details of the results obtained
from the timing and spectral analysis is presented.
| astro-ph | suzaku too observation of the anomalous xray pulsar cxou j1647102455216 was performed on 2006 september 2324 for a net exposure of 388 ks during the observation the xis was operated in 18 window option to achieve a time resolution of 1 s pulsations are clearly detected in the xis light curves with a barycenter corrected pulse period of 10610632 s the xis pulse profile shows 3 peaks of different amplitudes with rms fractional amplitude of 11 in 0260 kev energy band though the source was observed with the hxd of suzaku the data is highly contaminated by the nearby bright xray source gx 3400 which was in the hxd field of view the 110 kev xis spectra are well fitted by two blackbody components the temperatures of two blackbody components are found to be 061001 kev and 122006 kev and the value of the absorption column density is 173003 x 1022 atoms cm2 the observed source flux in 110 kev energy range is calculated to be 26 x 1011 ergs cm2 s1 with significant contribution from the soft blackbody component kt 061 kev pulse phase resolved spectroscopy of xis data shows that the flux of the soft blackbody component consists of three narrow peaks whereas the flux of the other component shows a single peak over the pulse period of the axp the blackbody radii changes between 2227 km and 028038 km assuming the source distance to be 5 kpc over pulse phases for the soft and hard components respectively the details of the results obtained from the timing and spectral analysis is presented | [['suzaku', 'too', 'observation', 'of', 'the', 'anomalous', 'xray', 'pulsar', 'cxou', 'j1647102455216', 'was', 'performed', 'on', '2006', 'september', '2324', 'for', 'a', 'net', 'exposure', 'of', '388', 'ks', 'during', 'the', 'observation', 'the', 'xis', 'was', 'operated', 'in', '18', 'window', 'option', 'to', 'achieve', 'a', 'time', 'resolution', 'of', '1', 's', 'pulsations', 'are', 'clearly', 'detected', 'in', 'the', 'xis', 'light', 'curves', 'with', 'a', 'barycenter', 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711.4183 | Existence and Stability of Steady-State Solutions with Finite Energy for
the Navier-Stokes equation in the Whole Space | We consider the steady-state Navier-Stokes equation in the whole space
$\mathbb{R}^3$ driven by a forcing function $f$. The class of source functions
$f$ under consideration yield the existence of at least one solution with
finite Dirichlet integral ($\|\nabla U\|_2<\infty$). Under the additional
assumptions that $f$ is absent of low modes and the ratio of $f$ to viscosity
is sufficiently small in a natural norm we construct solutions which have
finite energy (finite $L^2$ norm). These solutions are unique among all
solutions with finite energy and finite Dirichlet integral. The constructed
solutions are also shown to be stable in the following sense: If $U$ is such a
solution then any viscous, incompressible flow in the whole space, driven by
$f$ and starting with finite energy, will return to $U$.
| math.AP | we consider the steadystate navierstokes equation in the whole space mathbbr3 driven by a forcing function f the class of source functions f under consideration yield the existence of at least one solution with finite dirichlet integral nabla u_2infty under the additional assumptions that f is absent of low modes and the ratio of f to viscosity is sufficiently small in a natural norm we construct solutions which have finite energy finite l2 norm these solutions are unique among all solutions with finite energy and finite dirichlet integral the constructed solutions are also shown to be stable in the following sense if u is such a solution then any viscous incompressible flow in the whole space driven by f and starting with finite energy will return to u | [['we', 'consider', 'the', 'steadystate', 'navierstokes', 'equation', 'in', 'the', 'whole', 'space', 'mathbbr3', 'driven', 'by', 'a', 'forcing', 'function', 'f', 'the', 'class', 'of', 'source', 'functions', 'f', 'under', 'consideration', 'yield', 'the', 'existence', 'of', 'at', 'least', 'one', 'solution', 'with', 'finite', 'dirichlet', 'integral', 'nabla', 'u_2infty', 'under', 'the', 'additional', 'assumptions', 'that', 'f', 'is', 'absent', 'of', 'low', 'modes', 'and', 'the', 'ratio', 'of', 'f', 'to', 'viscosity', 'is', 'sufficiently', 'small', 'in', 'a', 'natural', 'norm', 'we', 'construct', 'solutions', 'which', 'have', 'finite', 'energy', 'finite', 'l2', 'norm', 'these', 'solutions', 'are', 'unique', 'among', 'all', 'solutions', 'with', 'finite', 'energy', 'and', 'finite', 'dirichlet', 'integral', 'the', 'constructed', 'solutions', 'are', 'also', 'shown', 'to', 'be', 'stable', 'in', 'the', 'following', 'sense', 'if', 'u', 'is', 'such', 'a', 'solution', 'then', 'any', 'viscous', 'incompressible', 'flow', 'in', 'the', 'whole', 'space', 'driven', 'by', 'f', 'and', 'starting', 'with', 'finite', 'energy', 'will', 'return', 'to', 'u']] | [-0.17421160551708367, 0.13101331553766576, -0.08179776336838249, 0.03530317255915472, -0.06741611166549187, -0.1330137793524704, -0.028699387484560097, 0.3088121282772755, -0.34515958430436183, -0.20547617997563494, 0.1305698338088462, -0.2937978775271189, -0.055834998365667625, 0.1553989473590994, -0.03437374941784683, 0.07997882515045367, 0.07754375925654267, 0.06894999943438947, -0.07843899910748885, -0.23107684317675573, 0.36037201014912035, -0.058954231397021474, 0.2275777181434467, 0.029862077462149594, 0.13549100583800533, -0.06550761405195249, 0.04130248550882959, 0.04182640817997185, -0.20816304234222474, 0.049798473800114526, 0.2648925132532494, 0.045463032199172526, 0.33265173834139905, -0.4184970070688626, -0.22307867588343347, 0.18983462165425144, 0.10026679769356361, 0.014718941672279785, -0.03223248269027612, -0.225988530381546, 0.14686056994099728, -0.12264907366676828, -0.1761333188555372, -0.0760187291408207, 0.064389674348654, 0.10189911134093707, -0.33422835555484914, 0.08075338116398734, 0.07236747674856657, 0.01628226967066468, -0.1748836575897308, -0.09557397669826553, -0.05492024783294384, 0.05556919040363722, 0.07897101442868579, 0.08049593785572356, 0.030981935942032204, -0.11591043964571018, 0.02005598107701182, 0.3557927208314613, -0.14597949848920988, -0.3229615539019033, 0.18027624258346212, -0.17417645144943647, -0.07093612868045493, 0.15017807106010791, 0.10133318386891285, 0.14806070461443913, -0.12603601885915505, 0.19326016232880075, -0.06470894741671761, 0.13072001557122534, 0.08850527164071623, 0.0032688269692319116, 0.12975383092517281, 0.10118124070467324, 0.16131210236399485, 0.13149800521823923, -0.028313929771598405, -0.08105427791239826, -0.3745785729856942, -0.11644539922314483, -0.17635266161267096, 0.11202852907920564, -0.08369188305454817, -0.21132517394157838, 0.34081101010317044, 0.06004552396498327, 0.160439288852311, 0.044648417641086076, 0.22059885982981348, 0.19756818262816178, 0.025070039243767345, 0.14274849752550872, 0.17001890763640404, 0.10309975621140173, 0.07288795268881744, -0.20981844431055183, 0.016269420794262662, 0.1412174012145306] |
711.4184 | Superradiance and Instability of Black Holes | We discuss the relation between the superradiance phenomenon and the
instability of rotating black holes in higher dimensions. In particular, we
point out that the superradiant instability of a massless scalar field around a
simply rotating Kerr-adS black hole implies the gravitational instability of
that black hole for tensor-type perturbations.
| hep-th gr-qc | we discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions in particular we point out that the superradiant instability of a massless scalar field around a simply rotating kerrads black hole implies the gravitational instability of that black hole for tensortype perturbations | [['we', 'discuss', 'the', 'relation', 'between', 'the', 'superradiance', 'phenomenon', 'and', 'the', 'instability', 'of', 'rotating', 'black', 'holes', 'in', 'higher', 'dimensions', 'in', 'particular', 'we', 'point', 'out', 'that', 'the', 'superradiant', 'instability', 'of', 'a', 'massless', 'scalar', 'field', 'around', 'a', 'simply', 'rotating', 'kerrads', 'black', 'hole', 'implies', 'the', 'gravitational', 'instability', 'of', 'that', 'black', 'hole', 'for', 'tensortype', 'perturbations']] | [-0.25707663632929323, 0.17691421668976545, -0.05174847917631269, 0.19467969290912152, -0.06804380971938372, -0.1236785296164453, 0.022195150665938853, 0.2318067455291748, -0.1048800109885633, -0.20413582503795624, 0.06061587173026055, -0.31445843635126947, -0.16042989980429412, 0.1956261088559404, -0.0034707574918866157, 0.007583805806934834, -0.05257676564157009, 0.01526234908029437, -0.11573839113116265, -0.16930713571608066, 0.4737962131202221, 0.08374350602563936, 0.22987230315804483, -0.05190537235932425, 0.055167055018246175, -0.016796642197296024, 0.09864571537822485, 0.049676938839256765, -0.1786424197643646, -0.02564895249903202, 0.15870121403684606, 0.11660147339105606, 0.22095072716474534, -0.38943770691752433, -0.24150772532448173, 0.07063220271840692, 0.2159005612321198, 0.24589360193349422, -0.16286984418984501, -0.25569278315640986, 0.08294348784722388, -0.24459237752482296, -0.21968280892819167, 0.004892804883420468, 0.09226211122469977, -0.06031425513327122, -0.2105285856500268, 0.17216760963201522, 0.16734213393181563, -0.09561936561018229, -0.14102466944605113, 0.06800253242254257, -0.0958125723246485, 0.02208126418758184, 0.20473850735463203, 0.03723107748664915, 0.20239532296545804, -0.1344763408228755, -0.11295978989684954, 0.31949724463745954, -0.10018236346542836, -0.1811239091315656, 0.16844496343750506, -0.3609160861931741, -0.08029264293611049, 0.11765553095377981, 0.16866710582748057, 0.2200355707667768, -0.07721893051639199, 0.09463846323895268, 0.014925262774340808, 0.16037553505797406, 0.2257089059986174, 0.07194604890421033, 0.5138096254784614, 0.12310732662212104, -0.03444588621146977, 0.2247649431973696, -0.042879192754626275, -0.08301890900358558, -0.3123967256397009, -0.12692612208426, -0.11519935676828026, 0.10687679594382643, -0.1866513225619565, -0.20197201032191514, 0.3001937249302864, 0.1442459214106202, 0.12965039327740668, -0.04793727284297347, 0.20850552453113777, 0.07200823874445632, 0.018074711188673973, 0.14027121359482408, 0.4362107809633017, 0.15435403879731893, 0.1533669146243483, -0.3104664609208703, -0.19211811647750437, 0.11195696666836738] |
711.4185 | Kirillov--Schilling--Shimozono bijection as energy functions of crystals | The Kirillov--Schilling--Shimozono (KSS) bijection appearing in theory of the
Fermionic formula gives an one to one correspondence between the set of
elements of tensor products of the Kirillov--Reshetikhin crystals (called
paths) and the set of rigged configurations. It is a generalization of
Kerov--Kirillov--Reshetikhin bijection and plays inverse scattering formalism
for the box-ball systems. In this paper, we give an algebraic reformulation of
the KSS map from the paths to rigged configurations, using the combinatorial R
and energy functions of crystals. It gives a characterization of the KSS
bijection as an intrinsic property of tensor products of crystals.
| math.QA math-ph math.MP | the kirillovschillingshimozono kss bijection appearing in theory of the fermionic formula gives an one to one correspondence between the set of elements of tensor products of the kirillovreshetikhin crystals called paths and the set of rigged configurations it is a generalization of kerovkirillovreshetikhin bijection and plays inverse scattering formalism for the boxball systems in this paper we give an algebraic reformulation of the kss map from the paths to rigged configurations using the combinatorial r and energy functions of crystals it gives a characterization of the kss bijection as an intrinsic property of tensor products of crystals | [['the', 'kirillovschillingshimozono', 'kss', 'bijection', 'appearing', 'in', 'theory', 'of', 'the', 'fermionic', 'formula', 'gives', 'an', 'one', 'to', 'one', 'correspondence', 'between', 'the', 'set', 'of', 'elements', 'of', 'tensor', 'products', 'of', 'the', 'kirillovreshetikhin', 'crystals', 'called', 'paths', 'and', 'the', 'set', 'of', 'rigged', 'configurations', 'it', 'is', 'a', 'generalization', 'of', 'kerovkirillovreshetikhin', 'bijection', 'and', 'plays', 'inverse', 'scattering', 'formalism', 'for', 'the', 'boxball', 'systems', 'in', 'this', 'paper', 'we', 'give', 'an', 'algebraic', 'reformulation', 'of', 'the', 'kss', 'map', 'from', 'the', 'paths', 'to', 'rigged', 'configurations', 'using', 'the', 'combinatorial', 'r', 'and', 'energy', 'functions', 'of', 'crystals', 'it', 'gives', 'a', 'characterization', 'of', 'the', 'kss', 'bijection', 'as', 'an', 'intrinsic', 'property', 'of', 'tensor', 'products', 'of', 'crystals']] | [-0.16244671536494315, 0.12405824582449511, -0.09533473991875335, 0.040058518039811516, -0.07635283328055106, -0.06822307468824011, 0.0345598658133951, 0.28243368330349206, -0.3281281342749129, -0.2471921684066813, 0.014907864803333105, -0.29967057958398896, -0.16328275259392164, 0.170690769936947, -0.05991049479577959, 0.022790844878661877, 0.03815526754076871, 0.027314307043309678, -0.10879638589570267, -0.2064827617123416, 0.35532033870002067, 0.03269346105414875, 0.2894665627673115, 0.04785934371451281, 0.14791513640990422, 0.06763774224979438, 0.006736303127572401, -0.02170014561912448, -0.1822415871267236, 0.17246431359041905, 0.257740555559141, 0.14159493399879983, 0.1289495259016925, -0.3993881454345645, -0.0798938921460709, 0.1369563304175882, 0.11130101961976628, 0.08052586669524767, -0.010749163643754635, -0.21643428721455568, 0.0321285782919563, -0.17946011661407874, -0.1351596947144909, -0.09018607019475594, 0.03805437895767007, -0.020490257376708936, -0.27442109596329867, 0.014931623666720061, 0.10555224483064615, 0.05337590120145307, -0.09576554442983908, -0.11206898964418233, -0.013582300457181697, 0.0725851944484508, 0.014560893348408575, 0.032421351796899416, 0.05491289049002927, -0.1346917698116608, -0.1394255134749908, 0.3847936543818448, 0.017753649262961038, -0.21897491466580438, 0.1579682877858544, -0.09530486514042948, -0.14044525675456396, 0.1160540017731411, 0.06039205814721351, 0.14445382626439185, -0.10920573049614965, 0.1434613378489265, -0.1510600872798679, 0.07685515214449044, 0.11703996532164591, 0.06237420811289057, 0.17260291527227029, 0.10009649288408536, 0.08386004204523075, 0.22507632199732452, 0.0005459176885328957, -0.08420702080559178, -0.3294256168907297, -0.24314931164632614, -0.18510865748946354, 0.09098912113029317, -0.1413659754579169, -0.26653151425350574, 0.3718347950291234, 0.07017237378149918, 0.1863024704477548, 0.060968101387675465, 0.17943090208105206, 0.09886874522702989, 0.05625879061264322, -0.044757872906311884, 0.17100605059453508, 0.2674213766418013, 0.04677696671989775, -0.1732352868228978, -0.023779423115294927, 0.21072097773634896] |
711.4186 | Generating an entangled coherent state of two cavity modes in a
three-level \Lambda - type atomic system | In this paper, we present a scheme to generate an entangled coherent state by
considering a three-level \Lambda - type atom interacting with a two-mode
cavity driven by classical fields. The two-mode entangled coherent state can be
obtained under large detuning conditions. Considering the cavity decay, an
analytical solution is deduced.
| quant-ph | in this paper we present a scheme to generate an entangled coherent state by considering a threelevel lambda type atom interacting with a twomode cavity driven by classical fields the twomode entangled coherent state can be obtained under large detuning conditions considering the cavity decay an analytical solution is deduced | [['in', 'this', 'paper', 'we', 'present', 'a', 'scheme', 'to', 'generate', 'an', 'entangled', 'coherent', 'state', 'by', 'considering', 'a', 'threelevel', 'lambda', 'type', 'atom', 'interacting', 'with', 'a', 'twomode', 'cavity', 'driven', 'by', 'classical', 'fields', 'the', 'twomode', 'entangled', 'coherent', 'state', 'can', 'be', 'obtained', 'under', 'large', 'detuning', 'conditions', 'considering', 'the', 'cavity', 'decay', 'an', 'analytical', 'solution', 'is', 'deduced']] | [-0.17691092796623706, 0.2625159846205497, -0.060655625583603975, 0.00729634877294302, 0.022854471732862293, -0.2354116501007229, 0.040064438732806594, 0.3892529474943876, -0.2634197356924415, -0.19658599723130465, -0.00035876242909580467, -0.20351888939738275, -0.018494134033098818, 0.22888888493180276, -0.00471611593849957, 0.0382553480938077, 0.11554797878488898, -0.004174333959817886, 0.01903057307936251, -0.17853837637230754, 0.38411037757992744, 0.01604671902023256, 0.2948440528847277, -0.0576434261223767, 0.11949183937162161, -0.012483021914958954, 0.11055069107562304, -0.0034033755958080294, -0.12244279073551297, 0.0784827233676333, 0.24646090187132358, 0.09186419841833413, 0.2651608065143228, -0.4468569876626134, -0.20016991292592137, 0.12217893235385419, 0.14901330260676332, 0.258208295609802, -0.08128231386654079, -0.42415628254413607, -0.046721582133322954, -0.21927320473827422, -0.19874802233651281, -0.09700839472468942, -0.04166332497261464, -0.005941811903612688, -0.3539136704802513, 0.06177811105269939, 0.004210247418377548, 0.024106655698269606, -0.048160913791507484, 0.027794709242880345, 0.05615062193013728, 0.02413359807804227, -0.08634213312063366, -0.006474639037624002, 0.13928678975440562, -0.162124582946999, -0.12873084243386984, 0.33012457601726053, -0.15452399458736182, -0.2145253292657435, 0.11697396606206895, -0.05858105417340994, 0.014658450167626142, 0.14019916340708732, 0.07816057171672583, 0.10883478458970786, -0.16508670948445797, 0.04717317880131304, -0.08452163046458736, 0.25860591322183607, 0.10066556092351675, 0.12778274539858103, 0.16699082931503653, 0.13225976154208183, 0.02170939100906253, 0.2930718644778244, -0.02948289267718792, -0.14699759056791664, -0.32864500053226947, -0.09596985716372729, -0.21062843464314937, 0.14305017709732057, -0.04383419736288488, -0.09589163720607757, 0.3730376047806203, 0.049796967696165664, 0.11227892404422164, -0.05869770452845842, 0.28931147914379834, 0.223312764801085, -0.02474335636012256, 0.03484776610508561, 0.31789469487965105, 0.1741424198867753, 0.037387111000716684, -0.2879435116890818, -0.02189190074801445, 0.00023273964412510396] |
711.4187 | Floer trajectories with immersed nodes and scale-dependent gluing | We define an enhanced compactification of Floer trajectories under Morse
background using the adiabatic degeneration and the scale-dependent gluing
techniques. The compactification reflects the 1-jet datum of the smooth Floer
trajectories nearby the limiting nodal Floer trajectories arising from
adiabatic degeneration of the background Morse function. This paper studies the
gluing problem when the limiting gradient trajectories has length zero through
a renomalization process. The case with limiting gradient trajectories of
non-zero length will be treated elsewhere.
An immediate application of our result is a proof of the isomorphism property
of the PSS map : A proof of this isomorphism property was first outlined by
P\"unihikin-Salamon-Schwarz \cite{PSS} in a way somewhat different from the
current proof in its details. This kind of scale-dependent gluing techniques
was initiated in [FOOO07] in relation to the metamorphosis of holomorphic
polygons under Lagrangian surgery and is expected to appear in other gluing and
compactification problem of pseudo-holomorphic curves that involves `adiabatic'
parameters or rescales the targets.
| math.SG | we define an enhanced compactification of floer trajectories under morse background using the adiabatic degeneration and the scaledependent gluing techniques the compactification reflects the 1jet datum of the smooth floer trajectories nearby the limiting nodal floer trajectories arising from adiabatic degeneration of the background morse function this paper studies the gluing problem when the limiting gradient trajectories has length zero through a renomalization process the case with limiting gradient trajectories of nonzero length will be treated elsewhere an immediate application of our result is a proof of the isomorphism property of the pss map a proof of this isomorphism property was first outlined by punihikinsalamonschwarz citepss in a way somewhat different from the current proof in its details this kind of scaledependent gluing techniques was initiated in fooo07 in relation to the metamorphosis of holomorphic polygons under lagrangian surgery and is expected to appear in other gluing and compactification problem of pseudoholomorphic curves that involves adiabatic parameters or rescales the targets | [['we', 'define', 'an', 'enhanced', 'compactification', 'of', 'floer', 'trajectories', 'under', 'morse', 'background', 'using', 'the', 'adiabatic', 'degeneration', 'and', 'the', 'scaledependent', 'gluing', 'techniques', 'the', 'compactification', 'reflects', 'the', '1jet', 'datum', 'of', 'the', 'smooth', 'floer', 'trajectories', 'nearby', 'the', 'limiting', 'nodal', 'floer', 'trajectories', 'arising', 'from', 'adiabatic', 'degeneration', 'of', 'the', 'background', 'morse', 'function', 'this', 'paper', 'studies', 'the', 'gluing', 'problem', 'when', 'the', 'limiting', 'gradient', 'trajectories', 'has', 'length', 'zero', 'through', 'a', 'renomalization', 'process', 'the', 'case', 'with', 'limiting', 'gradient', 'trajectories', 'of', 'nonzero', 'length', 'will', 'be', 'treated', 'elsewhere', 'an', 'immediate', 'application', 'of', 'our', 'result', 'is', 'a', 'proof', 'of', 'the', 'isomorphism', 'property', 'of', 'the', 'pss', 'map', 'a', 'proof', 'of', 'this', 'isomorphism', 'property', 'was', 'first', 'outlined', 'by', 'punihikinsalamonschwarz', 'citepss', 'in', 'a', 'way', 'somewhat', 'different', 'from', 'the', 'current', 'proof', 'in', 'its', 'details', 'this', 'kind', 'of', 'scaledependent', 'gluing', 'techniques', 'was', 'initiated', 'in', 'fooo07', 'in', 'relation', 'to', 'the', 'metamorphosis', 'of', 'holomorphic', 'polygons', 'under', 'lagrangian', 'surgery', 'and', 'is', 'expected', 'to', 'appear', 'in', 'other', 'gluing', 'and', 'compactification', 'problem', 'of', 'pseudoholomorphic', 'curves', 'that', 'involves', 'adiabatic', 'parameters', 'or', 'rescales', 'the', 'targets']] | [-0.18132895067240457, 0.08542166916384807, -0.17699937844566954, 0.08797119323970941, -0.07827412482034767, -0.09863250994719507, 0.011028621463638104, 0.29277606470489864, -0.3231380500379692, -0.25528331726361886, 0.0752294011166577, -0.22538625441620466, -0.16270968889226, 0.181516828110629, -0.16709733065862045, 0.043003757018229845, 0.0776942090201631, 0.016737056043110318, -0.07602382836564672, -0.23237512579316613, 0.3944210868281951, 0.023889881202148612, 0.23431051256129248, 0.0663307395481077, 0.08744104282415044, 0.019079516231779406, -0.03356118814773717, -0.022545589303960965, -0.17708777753167101, 0.09787735317060549, 0.24648064661202893, 0.07323666736366427, 0.1922303218639887, -0.3832194560424149, -0.16900512682121693, 0.14355807397631729, 0.16477347984207127, 0.09578959144792466, -0.01683048041443686, -0.2776669782437033, 0.045767276371395764, -0.10270985939288102, -0.2213968745807666, -0.042786219499934955, 0.017893811207522387, 0.042891723154861665, -0.19170548054301795, 0.022359044730382145, 0.09515822807080904, 0.09353330667546522, -0.043793573618995364, -0.055107379932565696, -0.06778516636505348, 0.09692528225725323, 0.0955076090808088, 0.09186071927700215, 0.17804941734439642, -0.11001591346045055, -0.09547994242330908, 0.3451947468573099, -0.08389776834702622, -0.21994952166909879, 0.12703788162168092, -0.09172948822671981, -0.17964732916674242, 0.15640281454759575, 0.04753585014515703, 0.17013210700180545, -0.10472909180616224, 0.14963426545691388, -0.017376066608729323, 0.0811522554609128, 0.12601908624945385, -0.06404262821851943, 0.15453453100895592, 0.1253804751575204, 0.11913851244703123, 0.16018261435425565, -0.053116700960522366, -0.10093100619965098, -0.3545306622161993, -0.16280395845126994, -0.14364633844497632, 0.14851420886562727, -0.12732960989835318, -0.18422245411180346, 0.4024957120535696, 0.08193745387940661, 0.21796649167864765, 0.07538802952962523, 0.30520960613763043, 0.08218736505888566, 0.04308601807357755, 0.01752467362983328, 0.20303726694092694, 0.1659741307412561, 0.04725948251116107, -0.16361362172024171, -0.0065574763030100775, 0.2083356867151909] |
711.4188 | Emergent Universe in Brane World Scenario with Schwarzschild-de Sitter
Bulk | A model of an emergent universe is obtained in brane world. Here the bulk
energy is in the form of cosmological constant, while the brane consists of a
fluid satisfying an equation of state of the form $p_{b}={1/3} \rho_{b}$, which
is effectively a radiation equation of state at high energies. It is shown that
with the positive bulk cosmological constant, one of our models represents an
emergent universe.
| gr-qc | a model of an emergent universe is obtained in brane world here the bulk energy is in the form of cosmological constant while the brane consists of a fluid satisfying an equation of state of the form p_b13 rho_b which is effectively a radiation equation of state at high energies it is shown that with the positive bulk cosmological constant one of our models represents an emergent universe | [['a', 'model', 'of', 'an', 'emergent', 'universe', 'is', 'obtained', 'in', 'brane', 'world', 'here', 'the', 'bulk', 'energy', 'is', 'in', 'the', 'form', 'of', 'cosmological', 'constant', 'while', 'the', 'brane', 'consists', 'of', 'a', 'fluid', 'satisfying', 'an', 'equation', 'of', 'state', 'of', 'the', 'form', 'p_b13', 'rho_b', 'which', 'is', 'effectively', 'a', 'radiation', 'equation', 'of', 'state', 'at', 'high', 'energies', 'it', 'is', 'shown', 'that', 'with', 'the', 'positive', 'bulk', 'cosmological', 'constant', 'one', 'of', 'our', 'models', 'represents', 'an', 'emergent', 'universe']] | [-0.15504848203489752, 0.15567258538208284, -0.11166273707996553, 0.013684036397833877, -0.06353490866387068, -0.11260147273901906, -0.05997406869237103, 0.25778301609958065, -0.22663858270884227, -0.29686701831532947, 0.033900996044611754, -0.3025121904019989, -0.05792592102383722, 0.14446728951436705, 0.028785795730941775, -0.01973816979009269, -0.03260075922972008, 0.09610968591895566, -0.016931133647101807, -0.23213727283117763, 0.381083156009997, 0.09762476540323514, 0.26551720552118635, 0.03159546177250458, 0.18734656753185303, -0.12394575627673585, 0.047879387007734336, 0.04259180074641064, -0.14189077248684315, 0.06471592742504913, 0.1871874881654725, 0.09271466355326015, 0.2430839888306696, -0.41154926209085024, -0.2651824701521824, 0.09604910589448774, 0.13018649400892987, 0.17468559628164868, -0.05591022061990268, -0.24588721909963374, 0.0534340592045615, -0.1408955920765649, -0.16642085298784634, -0.017920485044370837, 0.020378043152280707, -0.0886198284683068, -0.24949900967194072, 0.1328574963358801, 0.006730699835261747, -0.05042430151031533, -0.16509951783844562, -0.07088255062143305, -0.07013958627566584, 0.057576477367764535, 0.08580983339621227, 0.07162767763895941, 0.1023257697598814, -0.21122578860941663, -0.06531482149582746, 0.4343029300668346, -0.11747470072908466, -0.1875457689166069, 0.1170556932798962, -0.13164619492617116, -0.09004741972451334, 0.13831965511650848, 0.07619928285034734, 0.13017049651426166, -0.14145711090749324, 0.18437497802912745, -0.04116091620760845, 0.1952893816268266, 0.02096293656739281, 0.0016542414356189878, 0.28237434585036625, 0.19409251496640603, 0.05975023550050917, 0.09955879532968376, 0.0003385919410346159, -0.10057690224624169, -0.36780714691241284, -0.2086313466833376, -0.2302496809679181, 0.11643496670051297, -0.17287844985223083, -0.21731625013739747, 0.36236513374762525, 0.08027783757659482, 0.19765192370624704, 0.00837304019334434, 0.2538422155958503, 0.1121406993957292, 0.0007308394467430328, 0.10016182601563077, 0.277079389986596, 0.09467599235141455, 0.1257882616899685, -0.2313979701764548, 0.02166875263453642, 0.026006470865278103] |
711.4189 | A variant transfer matrix method suitable for transport through
multi-probe systems | We have developed a variant transfer matrix method that is suitable for
transport through multi-probe systems. Using this method, we have numerically
studied the quantum spin Hall effect (QSHE) on 2D graphene with both intrinsic
(Vso) and Rashba (Vr) spin-orbit (SO) couplings. The integer QSHE arises in the
presence of intrinsic SO interaction and is gradually destroyed by the Rashba
SO interaction and disorder fluctuation. We have numerically determined the
phase boundaries separating integer QSHE and spin Hall liquid. We have found
that when Vso> 0.2t with t the hopping constant the energy gap needed for the
integer QSHE is the largest satisfying |E|<t. For smaller Vso the energy gap
decreases linearly. In the presence of Rashba SO interaction or disorders, the
energy gap diminishes. With Rashba SO interaction the integer QSHE is robust at
the largest energy within the energy gap while at the smallest energy within
the energy gap the integer QSHE is insensitive to the disorder.
| cond-mat.mes-hall | we have developed a variant transfer matrix method that is suitable for transport through multiprobe systems using this method we have numerically studied the quantum spin hall effect qshe on 2d graphene with both intrinsic vso and rashba vr spinorbit so couplings the integer qshe arises in the presence of intrinsic so interaction and is gradually destroyed by the rashba so interaction and disorder fluctuation we have numerically determined the phase boundaries separating integer qshe and spin hall liquid we have found that when vso 02t with t the hopping constant the energy gap needed for the integer qshe is the largest satisfying et for smaller vso the energy gap decreases linearly in the presence of rashba so interaction or disorders the energy gap diminishes with rashba so interaction the integer qshe is robust at the largest energy within the energy gap while at the smallest energy within the energy gap the integer qshe is insensitive to the disorder | [['we', 'have', 'developed', 'a', 'variant', 'transfer', 'matrix', 'method', 'that', 'is', 'suitable', 'for', 'transport', 'through', 'multiprobe', 'systems', 'using', 'this', 'method', 'we', 'have', 'numerically', 'studied', 'the', 'quantum', 'spin', 'hall', 'effect', 'qshe', 'on', '2d', 'graphene', 'with', 'both', 'intrinsic', 'vso', 'and', 'rashba', 'vr', 'spinorbit', 'so', 'couplings', 'the', 'integer', 'qshe', 'arises', 'in', 'the', 'presence', 'of', 'intrinsic', 'so', 'interaction', 'and', 'is', 'gradually', 'destroyed', 'by', 'the', 'rashba', 'so', 'interaction', 'and', 'disorder', 'fluctuation', 'we', 'have', 'numerically', 'determined', 'the', 'phase', 'boundaries', 'separating', 'integer', 'qshe', 'and', 'spin', 'hall', 'liquid', 'we', 'have', 'found', 'that', 'when', 'vso', '02t', 'with', 't', 'the', 'hopping', 'constant', 'the', 'energy', 'gap', 'needed', 'for', 'the', 'integer', 'qshe', 'is', 'the', 'largest', 'satisfying', 'et', 'for', 'smaller', 'vso', 'the', 'energy', 'gap', 'decreases', 'linearly', 'in', 'the', 'presence', 'of', 'rashba', 'so', 'interaction', 'or', 'disorders', 'the', 'energy', 'gap', 'diminishes', 'with', 'rashba', 'so', 'interaction', 'the', 'integer', 'qshe', 'is', 'robust', 'at', 'the', 'largest', 'energy', 'within', 'the', 'energy', 'gap', 'while', 'at', 'the', 'smallest', 'energy', 'within', 'the', 'energy', 'gap', 'the', 'integer', 'qshe', 'is', 'insensitive', 'to', 'the', 'disorder']] | [-0.21285928503914778, 0.2204984377918812, -0.017970736870694462, 0.05072872730487454, -0.03314574109460163, -0.1904300342946542, 0.029407405335479562, 0.38226519857749997, -0.30013420298086396, -0.329206792195474, 0.011292262856538096, -0.2924027831627513, -0.14670523397372626, 0.13092043392401212, 0.03880729247177453, 0.046130462273781085, -0.01690665714489589, -0.04532279661393859, -0.08556490393542925, -0.20230728235540898, 0.32189625491675156, 0.03670315439417466, 0.2725282486780025, 0.13495932710093428, 0.029967084418654255, 0.028307487781060004, 0.10990730300545692, 0.06223804003459477, -0.15339584786888966, 0.0196221103941518, 0.21612432574759582, -0.13495735803607312, 0.24530417800137083, -0.40925659336524567, -0.1665570660847175, 0.055399325603045196, 0.12633587528348156, 0.15944921115044294, -0.06174814084957723, -0.2693700169054967, 0.07278072168617128, -0.17249711834292555, -0.09569653240764665, -0.05191060508390502, 0.07395891170456724, -0.059887647769910304, -0.25253597103680175, 0.11017410654820642, 0.047533202786057153, 0.06384512792493703, -0.07497998469936773, -0.17165497787085907, -0.07857336330596569, 0.0862346179909644, 0.04769415498430015, 0.042789460840758006, 0.11154345774718519, -0.10469870450511083, -0.10093738095477552, 0.34877831159663275, -0.0679274286412921, -0.1848080314865333, 0.14245399103335943, -0.1456507733560302, -0.04419276648078044, 0.1564327985891756, 0.09629572366815319, 0.06137952177474896, -0.07761354298074949, 0.16117916126009194, -0.01688594500528379, 0.1566392270154056, -0.005929837515870543, 0.07894175644354813, 0.25978551660342225, 0.1597490059548649, 0.09663181648290944, 0.13471845235476423, -0.14547387753985236, -0.05473972598102483, -0.2087002436882295, -0.15490597240779103, -0.3151862124323775, 0.07669977719951186, -0.03768328858250986, -0.15645232958918284, 0.3817688877747025, 0.1787970866012217, 0.13202202963238618, 0.018123052389003663, 0.27164007876794666, 0.18020503111066496, 0.12699748929619273, 0.08600182843295003, 0.2859217443023135, 0.12528771130842561, 0.10366952692344492, -0.3484834334227321, 0.0848039580280629, 0.017188943313352717] |
711.419 | On dispersion for Klein Gordon equation with periodic potential in 1D | By exploiting estimates on Bloch functions obtained in a previous paper, we
prove decay estimates for Klein Gordon equations with a time independent
potential periodic in space in 1D and with generic mass
| math.AP | by exploiting estimates on bloch functions obtained in a previous paper we prove decay estimates for klein gordon equations with a time independent potential periodic in space in 1d and with generic mass | [['by', 'exploiting', 'estimates', 'on', 'bloch', 'functions', 'obtained', 'in', 'a', 'previous', 'paper', 'we', 'prove', 'decay', 'estimates', 'for', 'klein', 'gordon', 'equations', 'with', 'a', 'time', 'independent', 'potential', 'periodic', 'in', 'space', 'in', '1d', 'and', 'with', 'generic', 'mass']] | [-0.126883259720423, 0.10539645924599784, -0.037519038739529526, 0.040958641915384564, -0.05825746589989373, -0.11739953886717558, 0.039813540801829236, 0.32652106782365026, -0.1982578688272924, -0.2606228134510192, 0.10082905406174673, -0.254537498098657, -0.149766544162324, 0.2831190185564937, -0.0425631691221938, 0.11589944918176281, 0.09607733536342328, -0.013486389663409103, -0.15560794013524146, -0.24074968698462754, 0.38202425956048747, -0.04707262896452889, 0.17987500503659248, 0.023473646435322182, 0.06857037386207869, 0.09738552914650152, -0.07689301987093958, -0.027982740000659374, -0.23214247989270723, 0.0840713692772569, 0.14554157886992802, 0.0075734292426425254, 0.23396553861146624, -0.43883441253141925, -0.2543801204442526, 0.07885158792928312, 0.1852168876564864, 0.10896160795042913, -0.09290625710590658, -0.35273534578807425, 0.03134381991218437, -0.08859625836890755, -0.20284213539156498, -0.05690688820499362, 0.05852385498865536, 0.07692481103268536, -0.28710399630169076, 0.11296969460267009, 0.02736878448702169, 0.00943356535087029, -0.16611674224788492, -0.07597882533445954, 0.0017103493411206837, 0.026524874889715153, 0.031546303374467025, 0.039678749148592804, 0.0034043535265620008, -0.06505549573480632, -0.14169620272393027, 0.3063302494049298, -0.18460255353288216, -0.3180958975219365, 0.13865952758174954, -0.18646301247292396, -0.11776429002709461, 0.08776881938066447, 0.16186225405809554, 0.08650357633208235, -0.1454020386674639, 0.15459425775440072, -0.08703115513322479, 0.10029561524138306, 0.13004366714846005, 0.018313051511843998, 0.13295997634078516, 0.1306201144488472, 0.09114583104735974, 0.08399083990265023, -0.006393943736894113, -0.07249512808453856, -0.28381279026242817, -0.1656592541910482, -0.21383408084511757, 0.09531268452040174, -0.08133551867803997, -0.17531915404128307, 0.4239817553933597, 0.07168668886703072, 0.2138750527731397, 0.11340627850343783, 0.2556330204207563, 0.1936610746056293, 0.03956804385013653, 0.10895502327405142, 0.21234632498641132, 0.12719890836513403, 0.10524139357166308, -0.17283397203198436, -0.037248986406308235, 0.16589123154919821] |
711.4191 | Notes on the Hamiltonian formulation of 3D Yang-Mills theory | Three-dimensional Yang-Mills theory is investigated in the Hamiltonian
formalism based on the Karabali-Nair variable. A new algorithm is developed to
obtain the renormalized Hamiltonian by identifying local counterterms in
Lagrangian with the use of fictitious holomorphic symmetry existing in the
framework with the KN variable. Our algorithm is totally algebraic and enables
one to calculate the ground state wave functional recursively in gauge
potentials. In particular, the Gaussian part thus calculated is shown to
coincide with that obtained by Leigh et al. Higher-order corrections to the
Gaussian part are also discussed.
| hep-th | threedimensional yangmills theory is investigated in the hamiltonian formalism based on the karabalinair variable a new algorithm is developed to obtain the renormalized hamiltonian by identifying local counterterms in lagrangian with the use of fictitious holomorphic symmetry existing in the framework with the kn variable our algorithm is totally algebraic and enables one to calculate the ground state wave functional recursively in gauge potentials in particular the gaussian part thus calculated is shown to coincide with that obtained by leigh et al higherorder corrections to the gaussian part are also discussed | [['threedimensional', 'yangmills', 'theory', 'is', 'investigated', 'in', 'the', 'hamiltonian', 'formalism', 'based', 'on', 'the', 'karabalinair', 'variable', 'a', 'new', 'algorithm', 'is', 'developed', 'to', 'obtain', 'the', 'renormalized', 'hamiltonian', 'by', 'identifying', 'local', 'counterterms', 'in', 'lagrangian', 'with', 'the', 'use', 'of', 'fictitious', 'holomorphic', 'symmetry', 'existing', 'in', 'the', 'framework', 'with', 'the', 'kn', 'variable', 'our', 'algorithm', 'is', 'totally', 'algebraic', 'and', 'enables', 'one', 'to', 'calculate', 'the', 'ground', 'state', 'wave', 'functional', 'recursively', 'in', 'gauge', 'potentials', 'in', 'particular', 'the', 'gaussian', 'part', 'thus', 'calculated', 'is', 'shown', 'to', 'coincide', 'with', 'that', 'obtained', 'by', 'leigh', 'et', 'al', 'higherorder', 'corrections', 'to', 'the', 'gaussian', 'part', 'are', 'also', 'discussed']] | [-0.10128303809065578, 0.10803563056720628, -0.10627522009114425, 0.06916983552897969, -0.08482034125675758, -0.11524795322265062, -0.014640266811733858, 0.33842744601683483, -0.22085636026329464, -0.2701152904321336, 0.03180902403546497, -0.25107660812015337, -0.1908613197815915, 0.14246397275063727, -0.03423657763956322, 0.08524828824318118, 0.003262349683791399, 0.06268157046288252, -0.07341867396349294, -0.262720321792747, 0.34726255325497024, 0.03905219557798571, 0.23611951278936533, 0.032568404202659926, 0.08636822733096779, 0.054698062693286274, -0.05763709949226015, 0.0018871725019481446, -0.11725861422188852, 0.11948629613551828, 0.2394734479435202, 0.05900151193038457, 0.21159955476307207, -0.4156159736474769, -0.23257522575764192, 0.05063450928363535, 0.11212507707273794, 0.14358941316604615, 0.009772433735068059, -0.325917372542123, 0.06859783266360561, -0.15092475743602132, -0.18424941965301211, -0.14226158841823539, 0.003761699381801817, -0.014178977213386032, -0.2742805355642405, 0.05532606027004982, 0.025111014892657598, 0.004089883766654465, -0.06889397981641297, -0.10487056722114277, -0.053129688324406746, 0.030640605257617103, 0.026964196293718285, 0.08858534042826957, 0.08637592832997648, -0.07598281733484732, -0.10969420067138141, 0.36686214389693406, -0.09932252882620864, -0.2470560231168444, 0.11467425549247613, -0.09001518392211033, -0.16423523739083773, 0.1324140946380794, 0.10360243976012701, 0.14862919510859582, -0.18113459195527765, 0.18071007999630334, -0.026190884002426175, 0.09912456783931703, 0.02792009692121711, -0.007791266481702527, 0.11263786769575543, 0.06775345518512445, 0.04862095818130507, 0.14903129431315595, -0.03722719818146692, -0.16936203800206487, -0.3317979367346399, -0.1186791892884988, -0.213342314089338, 0.006145508794806018, -0.0668196978304574, -0.17685455396454522, 0.3875748408233954, 0.14548132703122166, 0.16382399326086872, 0.06290266345151596, 0.27156852608701837, 0.17010583258363315, 0.06925701123351852, 0.09540337138265992, 0.2553458287070195, 0.19331017066207196, 0.05569692933931947, -0.22728440188026677, -0.023003530103920235, 0.1759405479585338] |
711.4192 | A revision of "On asymptotic stability in energy space of ground states
of NLS in 1D" | We transpose work by T.Mizumachi to prove smoothing estimates for dispersive
solutions of the linearization at a ground state of a Nonlinear Schr\"odinger
equation (NLS) in 1D. As an application we extend to dimension 1D a result on
asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for
dimensions $\ge 3$
| math.AP | we transpose work by tmizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a nonlinear schrodinger equation nls in 1d as an application we extend to dimension 1d a result on asymptotic stability of ground states of nls proved by cuccagna mizumachi for dimensions ge 3 | [['we', 'transpose', 'work', 'by', 'tmizumachi', 'to', 'prove', 'smoothing', 'estimates', 'for', 'dispersive', 'solutions', 'of', 'the', 'linearization', 'at', 'a', 'ground', 'state', 'of', 'a', 'nonlinear', 'schrodinger', 'equation', 'nls', 'in', '1d', 'as', 'an', 'application', 'we', 'extend', 'to', 'dimension', '1d', 'a', 'result', 'on', 'asymptotic', 'stability', 'of', 'ground', 'states', 'of', 'nls', 'proved', 'by', 'cuccagna', 'mizumachi', 'for', 'dimensions', 'ge', '3']] | [-0.12005080169854829, 0.0263364232224166, -0.0460294608402854, 0.051006097691312716, -0.02452388197147789, -0.1774416855769232, -0.0008796946360514715, 0.27803020795377403, -0.21209057344374463, -0.20201361673669174, 0.1625956010874898, -0.3108984323648306, -0.13360912419963056, 0.17530296622918776, -0.003271905776972954, 0.1546269146582255, 0.06450850318651646, -0.0023101629384864983, -0.09146705436376998, -0.24738669922002232, 0.3820705937866408, -0.060654235914206274, 0.19901590110160983, 0.028090135427191854, 0.09259317784856719, 0.015984560658510488, 0.081675770226866, -0.0438715464148957, -0.20484785558297658, 0.07220177654548585, 0.22869057702617004, 0.0202917855215044, 0.2950989412716948, -0.40701475144865423, -0.26935626501933885, 0.042122334644843176, 0.19245991671833998, 0.17879853428054887, -0.009377267675098175, -0.3801055736839771, 0.07761355598743719, -0.11207069431503232, -0.28118303665737937, -0.10428743350964326, 0.037947537878958076, 0.018812342636430494, -0.3093012850731611, 0.11455951410775575, 0.14110233581427914, 0.03394050129617636, -0.1482501636760739, -0.08985921331735042, -0.06378320403074703, -0.001836780577342814, -0.03204487027743688, -0.04189163529708122, -0.049966533473567463, -0.1365791878868969, -0.11642513295205739, 0.2980247249092477, -0.12517523765563965, -0.24888660113971967, 0.14391384187799233, -0.08260468389982215, -0.11106094992003189, 0.09929643342128167, 0.1535841391977066, 0.11686711729719089, -0.06828301220845717, 0.14822808284169206, -0.042302419744933456, 0.19184083917822975, 0.12971302949321958, 0.016798303265554402, 0.01984636219164643, 0.15296627544403935, 0.18951150857341978, 0.14258359811412027, -0.010034900745197844, -0.05643212240941536, -0.28412414653799856, -0.19751957322184283, -0.23627756107956743, 0.15794673196684855, -0.06912163700550221, -0.15082461811387196, 0.4108857737424282, 0.10448752589022312, 0.14968966837757483, 0.07576133251691666, 0.21970252212710106, 0.18964284507763715, -0.0660624041651877, 0.08274759303402299, 0.21982296842795152, 0.2177184957634801, 0.1185623618792026, -0.20477779179166716, -0.06125763653276058, 0.21015478754774308] |
711.4193 | Object Picture of Quasinormal Modes for Stringy Black Holes | We study the quasinormal modes (QNMs) for stringy black holes. By using
numerical calculation, the relations between the QNMs and the parameters of
black holes are minutely shown. For (1+1)-dimensional stringy black hole, the
real part of the quasinormal frequency increases and the imaginary part of the
quasinormal frequency decreases as the mass of the black hole increases.
Furthermore, the dependence of the QNMs on the charge of the black hole and the
flatness parameter is also illustrated. For (1+3)-dimensional stringy black
hole, increasing either the event horizon or the multipole index, the real part
of the quasinormal frequency decreases. The imaginary part of the quasinormal
frequency increases no matter whether the event horizon is increased or the
multipole index is decreased.
| hep-th | we study the quasinormal modes qnms for stringy black holes by using numerical calculation the relations between the qnms and the parameters of black holes are minutely shown for 11dimensional stringy black hole the real part of the quasinormal frequency increases and the imaginary part of the quasinormal frequency decreases as the mass of the black hole increases furthermore the dependence of the qnms on the charge of the black hole and the flatness parameter is also illustrated for 13dimensional stringy black hole increasing either the event horizon or the multipole index the real part of the quasinormal frequency decreases the imaginary part of the quasinormal frequency increases no matter whether the event horizon is increased or the multipole index is decreased | [['we', 'study', 'the', 'quasinormal', 'modes', 'qnms', 'for', 'stringy', 'black', 'holes', 'by', 'using', 'numerical', 'calculation', 'the', 'relations', 'between', 'the', 'qnms', 'and', 'the', 'parameters', 'of', 'black', 'holes', 'are', 'minutely', 'shown', 'for', '11dimensional', 'stringy', 'black', 'hole', 'the', 'real', 'part', 'of', 'the', 'quasinormal', 'frequency', 'increases', 'and', 'the', 'imaginary', 'part', 'of', 'the', 'quasinormal', 'frequency', 'decreases', 'as', 'the', 'mass', 'of', 'the', 'black', 'hole', 'increases', 'furthermore', 'the', 'dependence', 'of', 'the', 'qnms', 'on', 'the', 'charge', 'of', 'the', 'black', 'hole', 'and', 'the', 'flatness', 'parameter', 'is', 'also', 'illustrated', 'for', '13dimensional', 'stringy', 'black', 'hole', 'increasing', 'either', 'the', 'event', 'horizon', 'or', 'the', 'multipole', 'index', 'the', 'real', 'part', 'of', 'the', 'quasinormal', 'frequency', 'decreases', 'the', 'imaginary', 'part', 'of', 'the', 'quasinormal', 'frequency', 'increases', 'no', 'matter', 'whether', 'the', 'event', 'horizon', 'is', 'increased', 'or', 'the', 'multipole', 'index', 'is', 'decreased']] | [-0.20534289599735991, 0.15935334071639132, -0.03542389058065219, 0.12554025836575197, -0.12872466791543316, -0.06704291463142535, 0.010881317107648145, 0.23724748181240235, -0.1361535300393818, -0.2477337122917725, 0.1034485729388343, -0.38350757406871827, -0.1084645713076423, 0.22387243356540432, 0.003578256548489215, 0.031738553700022036, -0.04167995604755143, 0.0878375012152752, -0.07451807166312317, -0.1702198254199294, 0.3842375203470898, 0.14268646821509437, 0.255273800053191, 0.009592061900518468, 0.05608481568757628, 0.022129146649395345, -0.019086220404743903, -0.0017100020052223908, -0.12574041817245668, 0.0025925830724175835, 0.2342513799571936, 0.12862696811999577, 0.2043605519222004, -0.3570271731568042, -0.17061652753838016, 0.0655872825777433, 0.207191990035754, 0.15356380154796662, -0.07797252133843627, -0.2446074702425814, 0.09152726305373868, -0.25151064214067625, -0.1702299901717495, 0.005178057527566542, 0.12930775289500102, -0.07464792199440484, -0.199298082721099, 0.1777855474709392, 0.03950022535826095, -0.06440224300795158, -0.16609734480773083, -0.05481856795730161, -0.1116898001446465, 0.1068295368230062, 0.22592781406453216, -0.05296268807456936, 0.21648942940624155, -0.07492234827339893, -0.12335970126031363, 0.29404672004709964, -0.040466070946183846, -0.18498342160563, 0.12282649521929685, -0.29448615683273216, -0.005550228364404947, 0.11452788970295767, 0.14000749510338867, 0.2348962662413289, -0.02021864497438684, 0.16999267267500295, 0.08205852685324451, 0.22406931062702273, 0.16744357617342936, 0.05991734573942014, 0.3976847610176831, 0.08139126468354409, -0.04054495468583019, 0.2011442002076961, -0.057198629605767055, -0.03687261133531078, -0.3098021298646927, -0.14911221522364582, -0.22928293181400075, 0.042077354540987336, -0.23281526657121474, -0.22131374099775653, 0.4133978489267289, 0.04553847712632574, 0.1891603781230992, 0.038811889530510686, 0.28189480422594493, 0.19087731485068035, 0.0238661757960427, 0.0742284007881936, 0.3707479969235748, 0.13257463913998704, 0.1599495056215063, -0.35455987295212193, -0.11609130250442712, 0.08669014817073209] |
711.4194 | The Palomar Testbed Interferometer Calibrator Catalog | The Palomar Testbed Interferometer (PTI) archive of observations between 1998
and 2005 is examined for objects appropriate for calibration of optical
long-baseline interferometer observations - stars that are predictably
point-like and single. Approximately 1,400 nights of data on 1,800 objects were
examined for this investigation. We compare those observations to an
intensively studied object that is a suitable calibrator, HD217014, and
statistically compare each candidate calibrator to that object by computing
both a Mahalanobis distance and a Principal Component Analysis. Our hypothesis
is that the frequency distribution of visibility data associated with
calibrator stars differs from non-calibrator stars such as binary stars.
Spectroscopic binaries resolved by PTI, objects known to be unsuitable for
calibrator use, are similarly tested to establish detection limits of this
approach. From this investigation, we find more than 350 observed stars
suitable for use as calibrators (with an additional $\approx 140$ being
rejected), corresponding to $\gtrsim 95%$ sky coverage for PTI. This approach
is noteworthy in that it rigorously establishes calibration sources through a
traceable, empirical methodology, leveraging the predictions of spectral energy
distribution modeling but also verifying it with the rich body of PTI's on-sky
observations.
| astro-ph | the palomar testbed interferometer pti archive of observations between 1998 and 2005 is examined for objects appropriate for calibration of optical longbaseline interferometer observations stars that are predictably pointlike and single approximately 1400 nights of data on 1800 objects were examined for this investigation we compare those observations to an intensively studied object that is a suitable calibrator hd217014 and statistically compare each candidate calibrator to that object by computing both a mahalanobis distance and a principal component analysis our hypothesis is that the frequency distribution of visibility data associated with calibrator stars differs from noncalibrator stars such as binary stars spectroscopic binaries resolved by pti objects known to be unsuitable for calibrator use are similarly tested to establish detection limits of this approach from this investigation we find more than 350 observed stars suitable for use as calibrators with an additional approx 140 being rejected corresponding to gtrsim 95 sky coverage for pti this approach is noteworthy in that it rigorously establishes calibration sources through a traceable empirical methodology leveraging the predictions of spectral energy distribution modeling but also verifying it with the rich body of ptis onsky observations | [['the', 'palomar', 'testbed', 'interferometer', 'pti', 'archive', 'of', 'observations', 'between', '1998', 'and', '2005', 'is', 'examined', 'for', 'objects', 'appropriate', 'for', 'calibration', 'of', 'optical', 'longbaseline', 'interferometer', 'observations', 'stars', 'that', 'are', 'predictably', 'pointlike', 'and', 'single', 'approximately', '1400', 'nights', 'of', 'data', 'on', '1800', 'objects', 'were', 'examined', 'for', 'this', 'investigation', 'we', 'compare', 'those', 'observations', 'to', 'an', 'intensively', 'studied', 'object', 'that', 'is', 'a', 'suitable', 'calibrator', 'hd217014', 'and', 'statistically', 'compare', 'each', 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711.4195 | On asymptotic stability in energy space of ground states for Nonlinear
Schr\"odinger equations | We consider nonlinear Schr\"odinger equations in dimension 3 or higher. We
prove that symmetric finite energy solutions close to orbitally stable ground
states converge asymptotically to a sum of a ground state and a dispersive wave
assuming the so called Fermi Golden Rule (FGR) hypothesis. We improve the sign
condition required in a recent paper by Gang Zhou and I.M.Sigal
| math.AP | we consider nonlinear schrodinger equations in dimension 3 or higher we prove that symmetric finite energy solutions close to orbitally stable ground states converge asymptotically to a sum of a ground state and a dispersive wave assuming the so called fermi golden rule fgr hypothesis we improve the sign condition required in a recent paper by gang zhou and imsigal | [['we', 'consider', 'nonlinear', 'schrodinger', 'equations', 'in', 'dimension', '3', 'or', 'higher', 'we', 'prove', 'that', 'symmetric', 'finite', 'energy', 'solutions', 'close', 'to', 'orbitally', 'stable', 'ground', 'states', 'converge', 'asymptotically', 'to', 'a', 'sum', 'of', 'a', 'ground', 'state', 'and', 'a', 'dispersive', 'wave', 'assuming', 'the', 'so', 'called', 'fermi', 'golden', 'rule', 'fgr', 'hypothesis', 'we', 'improve', 'the', 'sign', 'condition', 'required', 'in', 'a', 'recent', 'paper', 'by', 'gang', 'zhou', 'and', 'imsigal']] | [-0.16873834009077085, 0.16139824791037935, -0.049150027168946245, 0.10732336721572457, -0.09314001669665262, -0.1826998357487432, 0.10688978803178327, 0.3050672143729309, -0.24299612868640383, -0.2090059992683641, 0.09924510470394171, -0.2875970393671828, -0.14790475216173268, 0.091944978821044, -0.009435875688569021, 0.10519664733023462, 0.08436153030370251, 0.039557367452751784, -0.08662421931907283, -0.2404337172451729, 0.3642263518235946, -0.013675716232066438, 0.2833996914737558, 0.05466651673412929, 0.10896274182250944, 0.004903901072408436, 0.06509684534522436, 0.02158461444837562, -0.1628755790747996, 0.0630024176010057, 0.22160743498953722, 0.05772777115610444, 0.27844385160291096, -0.416279438614719, -0.16018750259684303, 0.15260604822660906, 0.1494140047737855, 0.12047376052744813, 0.003531702482378331, -0.30982976087953074, 0.09896516389908049, -0.19757100523023283, -0.2319701819649061, -0.07691925642538373, 0.006045287336870018, 0.026145409473012818, -0.2892159018034147, 0.1071657227289121, 0.08852401867871947, -0.013972123090367196, -0.14136870564908674, -0.11187785987000344, -0.007904189970281165, 0.007921525926360766, 0.03426068879356134, 0.027750629316068302, -0.008119736585008391, -0.1026067401053605, -0.09802825291151718, 0.34148042424092606, -0.12559565529227257, -0.25474453730098273, 0.1547234042950164, -0.13230936206340538, -0.08880568530915653, 0.12824200156097443, 0.13312476937327597, 0.14638276593917507, -0.07347898499969141, 0.08879413919610177, -0.06516533639352035, 0.15960944566078547, 0.10387805598330195, 0.002011889536565138, 0.14306053232748883, 0.10514295871480037, 0.16111829179197046, 0.11839473148871024, -0.040818406418912996, -0.10318271035202227, -0.2714727812730786, -0.15475412914371592, -0.17791349803871018, 0.12237563032644083, 0.022292402241935447, -0.17405261923322232, 0.3553121645887524, 0.07274642493575811, 0.17529576820305595, 0.07611595848733085, 0.231177190729117, 0.1579348834515628, -0.023557739198144714, 0.15223316246470026, 0.25689032887329616, 0.13857512182745516, 0.07683508754786798, -0.20533969551640546, -0.004379020630918696, 0.1294184211262707] |
711.4196 | Determining the motion of the solar system relative to the cosmic
microwave background using type Ia supernovae | We estimate the solar system motion relative to the cosmic microwave
background using type Ia supernovae (SNe) measurements. We take into account
the correlations in the error bars of the SNe measurements arising from
correlated peculiar velocities. Without accounting for correlations in the
peculiar velocities, the SNe data we use appear to detect the peculiar velocity
of the solar system at about the 3.5 sigma level. However, when the
correlations are correctly accounted for, the SNe data only detects the solar
system peculiar velocity at about the 2.5 sigma level. We forecast that the
solar system peculiar velocity will be detected at the 9 sigma level by GAIA
and the 11 sigma level by the LSST. For these surveys we find the correlations
are much less important as most of the signal comes from higher redshifts where
the number density of SNe is insufficient for the correlations to be important.
| astro-ph gr-qc hep-ph hep-th | we estimate the solar system motion relative to the cosmic microwave background using type ia supernovae sne measurements we take into account the correlations in the error bars of the sne measurements arising from correlated peculiar velocities without accounting for correlations in the peculiar velocities the sne data we use appear to detect the peculiar velocity of the solar system at about the 35 sigma level however when the correlations are correctly accounted for the sne data only detects the solar system peculiar velocity at about the 25 sigma level we forecast that the solar system peculiar velocity will be detected at the 9 sigma level by gaia and the 11 sigma level by the lsst for these surveys we find the correlations are much less important as most of the signal comes from higher redshifts where the number density of sne is insufficient for the correlations to be important | [['we', 'estimate', 'the', 'solar', 'system', 'motion', 'relative', 'to', 'the', 'cosmic', 'microwave', 'background', 'using', 'type', 'ia', 'supernovae', 'sne', 'measurements', 'we', 'take', 'into', 'account', 'the', 'correlations', 'in', 'the', 'error', 'bars', 'of', 'the', 'sne', 'measurements', 'arising', 'from', 'correlated', 'peculiar', 'velocities', 'without', 'accounting', 'for', 'correlations', 'in', 'the', 'peculiar', 'velocities', 'the', 'sne', 'data', 'we', 'use', 'appear', 'to', 'detect', 'the', 'peculiar', 'velocity', 'of', 'the', 'solar', 'system', 'at', 'about', 'the', '35', 'sigma', 'level', 'however', 'when', 'the', 'correlations', 'are', 'correctly', 'accounted', 'for', 'the', 'sne', 'data', 'only', 'detects', 'the', 'solar', 'system', 'peculiar', 'velocity', 'at', 'about', 'the', '25', 'sigma', 'level', 'we', 'forecast', 'that', 'the', 'solar', 'system', 'peculiar', 'velocity', 'will', 'be', 'detected', 'at', 'the', '9', 'sigma', 'level', 'by', 'gaia', 'and', 'the', '11', 'sigma', 'level', 'by', 'the', 'lsst', 'for', 'these', 'surveys', 'we', 'find', 'the', 'correlations', 'are', 'much', 'less', 'important', 'as', 'most', 'of', 'the', 'signal', 'comes', 'from', 'higher', 'redshifts', 'where', 'the', 'number', 'density', 'of', 'sne', 'is', 'insufficient', 'for', 'the', 'correlations', 'to', 'be', 'important']] | [-0.09352357267421516, 0.1356868002874156, -0.03353234645910561, 0.15085805967838192, -0.0594817167489479, -0.09457004825623395, 0.03786956976323078, 0.3370052328209082, -0.23321903470981245, -0.3473031097277999, 0.05109473299390326, -0.36853778997901826, -0.031700590110461536, 0.2168596705266585, -0.014856166474880108, -0.0238130410721836, 0.09193762270733714, 0.00260114507128795, -0.08572885268523048, -0.26553767165790004, 0.29947120720520615, 0.08705771510799726, 0.21607274849588673, -0.05314904224481628, 0.09534273065781841, -0.08880307442314612, -0.07206073833319047, 0.0394592569830517, -0.1297327429819173, 0.05587289574556053, 0.21225393931226183, 0.12803354892414062, 0.20609517559278173, -0.37583898164952795, -0.2401439130678773, 0.11151230014239748, 0.16981551323706906, 0.1284911425911317, 0.014828444989398122, -0.3153570284259816, 0.0875090497204413, -0.12938811296597122, -0.14010480022057892, 0.02364420617154489, 0.024096608584125837, 0.043012301849666985, -0.19502168044447898, 0.19554413618519903, 0.02202723036078775, 0.10108527734875679, -0.08048429277415077, -0.11639686575780313, -0.06331363173667341, 0.12681517532037107, 0.02029808354486401, 0.01423441163652266, 0.10758118741059054, -0.14902271643280984, 0.012588384971022605, 0.44890155605971815, -0.07944294748206933, -0.06220333209261298, 0.14248249745927752, -0.22930757731044044, -0.16238081706920637, 0.14397349589814742, 0.19975383380427958, 0.0048711650228748715, -0.16876158319306947, -0.027576271842311446, 0.046318754953487466, 0.19856715793410937, 0.007711359000143906, 0.07973784299877783, 0.26697900461343427, 0.11585214565663288, 0.04617038736275087, 0.025316665754653512, -0.26320863482852774, 0.02561633091730376, -0.32443913277238606, -0.11356346210717068, -0.12331361390029391, 0.08252011751290411, -0.13450404387578602, -0.0772451762133278, 0.36675126320992907, 0.18170920971160134, 0.19989872214073937, 0.017592578143812716, 0.2737034561236699, 0.11766675532252217, 0.1202245678747325, 0.09175840505398809, 0.33457704026252033, 0.14350789062368374, 0.10374628785997629, -0.23773996536619962, 0.10417679345817304, -0.012703449569332103] |
711.4197 | On a class of curved flag multipliers | We characterize a family of curved flag kernels in terms of their multipliers
and prove L^p boundedness.
| math.CA | we characterize a family of curved flag kernels in terms of their multipliers and prove lp boundedness | [['we', 'characterize', 'a', 'family', 'of', 'curved', 'flag', 'kernels', 'in', 'terms', 'of', 'their', 'multipliers', 'and', 'prove', 'lp', 'boundedness']] | [-0.17124658499789588, 0.024738045792807552, -0.039866978521732724, 0.12567236855187836, -0.12243030187399949, -0.04557268406428835, -0.06423674896359444, 0.3936761135564131, -0.3697559703141451, -0.1593824054169304, 0.17766151554636, -0.20873770490288734, -0.1503709978697931, 0.2042262146304197, -0.18069643488920786, 0.057302714270703936, 0.06169546877636629, 0.017113167682991308, -0.23336158372352228, -0.283623119487482, 0.4096415899693966, -0.10232584353755503, 0.17114498422426336, 0.08807471756111174, 0.1105613813680761, 0.0014023839441292426, -0.05407455388237448, -0.052142997655798405, -0.2137530666830785, 0.20499642335754983, 0.24587123906787703, 0.06858479104223936, 0.26840975310872583, -0.3692209773203906, -0.16266124229878187, 0.24407332850729718, 0.14485884337302515, -0.09293054334600181, -0.015857689644155258, -0.3012046075480826, 0.11236340777181528, -0.11508456442285986, -0.20828314574764056, -0.14876441131619847, -0.055777338333427906, 0.18182820953456136, -0.2863363255472744, 0.0074547973516232826, 0.23646965951604001, 0.0456539934829754, -0.19158392087282503, -0.11780653904904337, 0.022024235140313122, 0.0004517474102185053, -0.046413056059357, -0.04734382581184892, 0.06405904201571555, -0.016495571403271136, -0.14948263852035298, 0.3079228350337978, -0.07334257881431018, -0.3456286598709138, 0.08065131503869505, -0.22101139671662273, -0.0835394335034139, 0.031776643412954664, 0.2117643740904682, 0.27387479035293355, -0.09628308131633435, 0.2120326438555768, -0.08063642591621507, -0.0036599976832375806, 0.16450566568357103, 0.1717063066933085, 0.05505658335545484, 0.03399175569853362, 0.22295963840887828, 0.21932081740712472, -0.0002755130476811353, -0.05397916848168654, -0.34300594826174136, -0.27197609819910107, -0.1149975018137518, 0.07585170558270286, -0.16127382663869547, -0.2479402209248613, 0.46408428207916375, 0.0566097980036455, 0.145220059024937, 0.19330726328360684, 0.1062125643605695, 0.082271804813953, 0.039082180256681406, 0.10659766183508669, 0.17044540313894257, 0.22252764136475675, 0.0603103347341804, -0.16655166019849918, 0.015381459091954371, 0.25565049243981347] |
711.4198 | Effect of Nanoscale Confinement on the \beta-\alpha Phase Transition in
Ag2Se | The confinement of silver selenide was investigated using mesoporous silica.
Results from x-ray diffraction and electron microscopy show that the confined
material still exhibits a \beta to \alpha transition similar to the one that
takes place in the bulk crystalline state but with a transition temperature
that depends significantly on the confinement conditions. Decreasing the pore
size leads to an increase of the transition temperature, opposite to the
behavior of the melting point observed in several metallic and organic
materials. In the free particles, on the other hand, no size dependence is
observed with particle sizes down to 4 nm.
| cond-mat.mtrl-sci | the confinement of silver selenide was investigated using mesoporous silica results from xray diffraction and electron microscopy show that the confined material still exhibits a beta to alpha transition similar to the one that takes place in the bulk crystalline state but with a transition temperature that depends significantly on the confinement conditions decreasing the pore size leads to an increase of the transition temperature opposite to the behavior of the melting point observed in several metallic and organic materials in the free particles on the other hand no size dependence is observed with particle sizes down to 4 nm | [['the', 'confinement', 'of', 'silver', 'selenide', 'was', 'investigated', 'using', 'mesoporous', 'silica', 'results', 'from', 'xray', 'diffraction', 'and', 'electron', 'microscopy', 'show', 'that', 'the', 'confined', 'material', 'still', 'exhibits', 'a', 'beta', 'to', 'alpha', 'transition', 'similar', 'to', 'the', 'one', 'that', 'takes', 'place', 'in', 'the', 'bulk', 'crystalline', 'state', 'but', 'with', 'a', 'transition', 'temperature', 'that', 'depends', 'significantly', 'on', 'the', 'confinement', 'conditions', 'decreasing', 'the', 'pore', 'size', 'leads', 'to', 'an', 'increase', 'of', 'the', 'transition', 'temperature', 'opposite', 'to', 'the', 'behavior', 'of', 'the', 'melting', 'point', 'observed', 'in', 'several', 'metallic', 'and', 'organic', 'materials', 'in', 'the', 'free', 'particles', 'on', 'the', 'other', 'hand', 'no', 'size', 'dependence', 'is', 'observed', 'with', 'particle', 'sizes', 'down', 'to', '4', 'nm']] | [-0.06261678935727105, 0.2590430224141164, -0.08345451447647065, -0.01701523732743226, -0.0013991588959470392, -0.15158859753981233, 0.05346756074635778, 0.4167043491825461, -0.2254514652490616, -0.30565716173499824, 0.0399867669318337, -0.3438567888922989, -0.08585528002353385, 0.16256718756514602, 0.008447592919692397, 0.017636989156962955, -0.041572211580350994, 0.016262944769114256, -0.110933406164404, -0.18973732756450773, 0.2515977861592546, 0.04780737962806597, 0.3445780271466356, 0.13540166810154916, 0.05336844118777662, -0.03918086166038847, 0.11714161445386707, 0.04676825376227498, -0.18136636185801763, 0.031000119315576738, 0.17815735476789996, -0.06809265771880746, 0.18346908159554004, -0.4412751514557749, -0.23960229706950487, 0.022703793060500174, 0.13323284941609018, 0.07136934599839151, -0.10579997745691799, -0.221636074767448, 0.04072701754979789, -0.0734553122590296, -0.15035048036719673, 0.009574672351591288, 0.012162833735346794, -0.002083955651614815, -0.2285249589208979, 0.07184820678085088, 0.07021365235792473, 0.04615228292183019, -0.11224489879095927, -0.12460671626497061, -0.07081397348083555, 0.08654970502480865, 0.07651366768404841, 0.018427296758163722, 0.2424205106124282, -0.1344151066924678, -0.05813550276681781, 0.4044013347662985, -0.05090516503551044, -0.06325375098735093, 0.2310709696356207, -0.24809316584374755, -0.059645421979948876, 0.2589420757070184, 0.10691026563290507, 0.08791339260526002, -0.09211265012621879, 0.04721681427094154, -0.028527052076533436, 0.26848084518831455, 0.1196861950145103, 0.033693369784159585, 0.1962246130593121, 0.23421350788441486, 0.009079450510907918, 0.18140222865447866, -0.14803667010273786, -0.06796281535178422, -0.19030243224231527, -0.18282929339446127, -0.20629063791129737, 0.03084199310047552, -0.1098355867897044, -0.2283192693674937, 0.348819481714163, 0.14946537786163389, 0.2141049708565697, -0.022304166522808373, 0.22759137558285147, 0.0801037451857701, 0.11271165958605707, -0.0028760957112535833, 0.2745735591370612, 0.1301603405037895, 0.13091607922222465, -0.2845747455325909, 0.08395825260085985, 0.0009197959234006703] |
711.4199 | The BES-III experiment at the high luminosity Tau-Charm factory | Interesting results from BES-II and other experiments raised actually many
new questions which shall be answered by its upgrade program, BEPCII and
BES-III. The design and current status of BEPCII and BES-III are reported.
| hep-ex | interesting results from besii and other experiments raised actually many new questions which shall be answered by its upgrade program bepcii and besiii the design and current status of bepcii and besiii are reported | [['interesting', 'results', 'from', 'besii', 'and', 'other', 'experiments', 'raised', 'actually', 'many', 'new', 'questions', 'which', 'shall', 'be', 'answered', 'by', 'its', 'upgrade', 'program', 'bepcii', 'and', 'besiii', 'the', 'design', 'and', 'current', 'status', 'of', 'bepcii', 'and', 'besiii', 'are', 'reported']] | [-0.0729192231562646, 0.16166784908786855, -0.06910733144511194, 0.08970846112488824, -0.13523763122365756, -0.21319157530224936, 0.027605565319604734, 0.3133228093604831, -0.20892330483697794, -0.33901377493406043, 0.17125093912267508, -0.41771890792776556, -0.04619250147986938, 0.315546072252533, -0.024346080471706742, 0.2211702325473786, 0.19933647467919133, -0.04190275270272704, -0.012804566088187344, -0.3461863214478773, 0.2060889431878048, 0.18729068983948843, 0.2067690907552948, 0.14912571919643702, 0.0500110093065921, -0.05248149796662962, -0.08007798921864699, 0.003920850248130805, -0.16434286115691066, 0.048220751464695615, 0.3676282765672487, 0.2609470979694058, 0.22300357882426503, -0.44797285700983863, 0.024543823564753812, 0.11389570047750193, 0.08138614936101743, -0.02875781978603781, -0.14359894992016695, -0.4495674256947549, 0.1485986763282734, -0.23434875327545932, -0.11806135379490168, -0.03767142870792133, -0.00024849483195473165, -0.033321215497220266, -0.20023525035118356, -0.08159992514479467, -0.04168376963421264, 0.07415406537406585, -0.05763888245393686, -0.27959607738782377, 0.10483648085638005, -0.02324647576931645, 0.05991721652475569, 0.0861050640917657, 0.17540343605694086, -0.09488846808124114, -0.30050065102713075, 0.2818799941417049, 0.043487362270003785, -0.002372943631866399, 0.16969933115658076, -0.2827841521870783, -0.11586060503716855, 0.08799878946122001, 0.21759970371118365, -0.017618193633525688, -0.22784052783732905, 0.1045929874663296, -0.06738823044168599, 0.1188921057345236, 0.09878885929527528, 0.1016608002486036, 0.2256517877583118, 0.22347093006486402, -0.01314424553728553, 0.07635682347908561, 0.008687435594551703, -0.01117250179488431, -0.37857052760527415, -0.15303963754216537, -0.07301815701922511, 0.02140131696839543, 0.16366802249274984, 0.04963842973880032, 0.40209989578408356, 0.16858634478686488, 0.30193182387772727, -0.09175038596218013, 0.2590597395730369, 0.018467333133551565, -0.016291747650350717, 0.032381888807696456, 0.22250426430529094, 0.04635304205037434, 0.2356934984050253, -0.24859071448308362, 0.054004246156717485, -0.02430444736691082] |
711.42 | Non adiabatic features of electron pumping through a quantum dot in the
Kondo regime | We investigate the behavior of the dc electronic current, Jdc, in an
interacting quantum dot driven by two ac local potentials oscillating with a
frequency, Omega0, and a phase-lag, phi. We provide analytical functions to
describe the fingerprints of the Coulomb interaction in an experimental Jdc vs
phi characteristic curve. We show that the Kondo resonance reduces at low
temperatures the frequency range for the linear behavior of Jdc in Omega0 to
take place and determines the evolution of the dc-current as the temperature
increases.
| cond-mat.mes-hall cond-mat.str-el | we investigate the behavior of the dc electronic current jdc in an interacting quantum dot driven by two ac local potentials oscillating with a frequency omega0 and a phaselag phi we provide analytical functions to describe the fingerprints of the coulomb interaction in an experimental jdc vs phi characteristic curve we show that the kondo resonance reduces at low temperatures the frequency range for the linear behavior of jdc in omega0 to take place and determines the evolution of the dccurrent as the temperature increases | [['we', 'investigate', 'the', 'behavior', 'of', 'the', 'dc', 'electronic', 'current', 'jdc', 'in', 'an', 'interacting', 'quantum', 'dot', 'driven', 'by', 'two', 'ac', 'local', 'potentials', 'oscillating', 'with', 'a', 'frequency', 'omega0', 'and', 'a', 'phaselag', 'phi', 'we', 'provide', 'analytical', 'functions', 'to', 'describe', 'the', 'fingerprints', 'of', 'the', 'coulomb', 'interaction', 'in', 'an', 'experimental', 'jdc', 'vs', 'phi', 'characteristic', 'curve', 'we', 'show', 'that', 'the', 'kondo', 'resonance', 'reduces', 'at', 'low', 'temperatures', 'the', 'frequency', 'range', 'for', 'the', 'linear', 'behavior', 'of', 'jdc', 'in', 'omega0', 'to', 'take', 'place', 'and', 'determines', 'the', 'evolution', 'of', 'the', 'dccurrent', 'as', 'the', 'temperature', 'increases']] | [-0.20192787949105395, 0.14727268355987583, -0.07268280469648102, 0.03547865287126864, -0.027771451250266505, -0.13507944967816857, 0.05365780844243572, 0.3452732762568356, -0.26918130536728047, -0.23688594392117332, -0.0014359095120145117, -0.2920413984944496, -0.10840047075248817, 0.22302907094468966, 0.036277397524784594, -0.014820078497423846, -0.0403658142340753, 0.06269438787164879, -0.07971240608295535, -0.148589941705851, 0.28545666472876774, 0.008904593332451494, 0.25997699216446457, 0.10567548583973857, 0.07915847651396796, 0.022249267557088066, 0.09341204710414304, 0.010304832033922568, -0.15996840839755297, -0.008206367328324738, 0.22780085111050594, 0.002740667661761536, 0.23648575342753353, -0.4270993769607123, -0.17014852803857888, 0.08516526395345435, 0.12991667440818513, 0.09889800306409598, -0.04068755675381159, -0.2437992903349154, 0.05319206357440528, -0.14433176342178794, -0.13805993151686646, -0.07146348695489851, 0.035599717612871354, 0.05502755174632458, -0.28184905096012003, 0.10483768124352483, 0.040892154307049865, 0.10390109313542352, -0.10775012200807824, -0.0867896093055606, 0.016003752182073453, 0.11160947770866401, 0.0067189680138493284, 0.03028621236958048, 0.17167148151818443, -0.15719265474883073, -0.06305164953365046, 0.3252999509629958, -0.12754005656084594, -0.12657219786470866, 0.17260578949661814, -0.20344240848961123, -0.055037365995196846, 0.10123101333704065, 0.14211463746888672, 0.06454111865981865, -0.11850428027648698, 0.12634068583035568, 0.04683496655129334, 0.17209943532943725, 0.04398740817080526, 0.03129962991703959, 0.22418162285843315, 0.15218982771039008, 0.0301272251547369, 0.1854898379129522, -0.11153898175586673, -0.09897445633678752, -0.2751644025392392, -0.10854956288821996, -0.16349907138056177, 0.05959669485797777, -0.09532194408170386, -0.1759526861283709, 0.44781548853532194, 0.1437418627059635, 0.24512292700271834, 0.02175552974016789, 0.2686642322360593, 0.2154688425896251, 0.031400460815605, 0.035579476012464833, 0.24939963274690158, 0.11252844909836045, 0.1350184330388027, -0.36347903530387315, -0.010068700188661323, -0.016420453036313547] |
711.4201 | First-principles study of ferroelectric oxide epitaxial thin films and
superlattices: role of the mechanical and electrical boundary conditions | In this review, we propose a summary of the most recent advances in the
first-principles study of ferroelectric oxide epitaxial thin films and
multilayers. We discuss in detail the key roles of mechanical and electrical
boundary conditions, providing to the reader the basic background for a simple
and intuitive understanding of the evolution of the ferroelectric properties in
many nanostructures. Going further we also highlight promising new avenues and
future challenges within this exciting field or researches.
| cond-mat.mtrl-sci | in this review we propose a summary of the most recent advances in the firstprinciples study of ferroelectric oxide epitaxial thin films and multilayers we discuss in detail the key roles of mechanical and electrical boundary conditions providing to the reader the basic background for a simple and intuitive understanding of the evolution of the ferroelectric properties in many nanostructures going further we also highlight promising new avenues and future challenges within this exciting field or researches | [['in', 'this', 'review', 'we', 'propose', 'a', 'summary', 'of', 'the', 'most', 'recent', 'advances', 'in', 'the', 'firstprinciples', 'study', 'of', 'ferroelectric', 'oxide', 'epitaxial', 'thin', 'films', 'and', 'multilayers', 'we', 'discuss', 'in', 'detail', 'the', 'key', 'roles', 'of', 'mechanical', 'and', 'electrical', 'boundary', 'conditions', 'providing', 'to', 'the', 'reader', 'the', 'basic', 'background', 'for', 'a', 'simple', 'and', 'intuitive', 'understanding', 'of', 'the', 'evolution', 'of', 'the', 'ferroelectric', 'properties', 'in', 'many', 'nanostructures', 'going', 'further', 'we', 'also', 'highlight', 'promising', 'new', 'avenues', 'and', 'future', 'challenges', 'within', 'this', 'exciting', 'field', 'or', 'researches']] | [-0.12510785864448393, 0.10377857530513754, -0.03997545425671262, -0.01927848306693161, -0.11382742694355305, -0.09654442132632067, 0.05264560571061326, 0.4186021521106943, -0.270286546640594, -0.26514892521398986, 0.06208820940394487, -0.2548929749528406, -0.2242023284371652, 0.2233857799793122, -0.05252994172722585, 0.062195108690928036, -0.0008772665078376795, -0.10905696824193001, -0.0954072294369727, -0.20075284842365457, 0.274759416958293, 0.0667638158207977, 0.3104682809177351, 0.1408455620773814, 0.029384667991188825, -0.034172469949615855, 0.008948276393937988, -0.002511012428379678, -0.2280729062996605, 0.19396634454923598, 0.2875725714393057, 0.023490185450230325, 0.29845301529948975, -0.5588244627435486, -0.24579965825156344, -0.017273588553554826, 0.14292747431809638, 0.15944507759322968, -0.17489111898225043, -0.25274917324883983, 0.07591198322094082, -0.09901578236951844, -0.14019248525720912, -0.11390268342726707, 0.0013419681609692898, 0.01970528483136811, -0.16651136514824488, -0.0011775234250001028, 0.07663458342627659, 0.09659369884953871, -0.09209931514213805, -0.16195149925331792, 0.03380396396115229, 0.10979603435662756, 0.06741153967019485, 0.04052908522947752, 0.1595170398654005, -0.2043612319915616, -0.15073374130267214, 0.365774292752824, 0.0004805078512275374, -0.10388759799398385, 0.1955942988127142, -0.17905053512689162, -0.16857053358833513, 0.022466287924000967, 0.16311617674572126, 0.12124687664259176, -0.21148605770491935, 0.0689064790857593, 0.04657236076914101, 0.12443945312558057, 0.03270774408751591, 0.11056126338466034, 0.2846243055416392, 0.29131607106560237, -0.02307438831731024, 0.16531034428384397, -0.05007340896620669, -0.022410196001193934, -0.2929424462090065, -0.24598054243735484, -0.09755098696362663, 0.056975134835856686, -0.07431791489263513, -0.17206220954124415, 0.4843209014794269, 0.24508633770278426, 0.14094609395879043, -0.09394364997551038, 0.2818880680609833, 0.01734327534576515, 0.010952097593576878, 0.00558741205952481, 0.24749327129865814, 0.15884589621579492, 0.14696153260895214, -0.19390928595290555, 0.07426161905176115, -0.03986500452768493] |
711.4202 | Mean density of inhomogeneous Boolean models with lower dimensional
typical grain | The mean density of a random closed set $\Theta$ in $\R^d$ with Hausdorff
dimension $n$ is the Radon-Nikodym derivative of the expected measure
$\E[\h^n(\Theta\cap\cdot)]$ induced by $\Theta$ with respect to the usual
$d$-dimensional Lebesgue measure. We consider here inhomogeneous Boolean models
with lower dimensional typical grain. Under general regularity assumptions on
the typical grain, related to the existence of its Minkowski content, and on
the intensity measure of the underlying Poisson point process, we prove an
explicit formula for the mean density. The proof of such formula provides as
by-product estimators for the mean density in terms of the empirical capacity
functional, which turns to be closely related to the well known random variable
density estimation by histograms in the extreme case $n=0$. Particular cases
and examples are also discussed.
| math.PR | the mean density of a random closed set theta in rd with hausdorff dimension n is the radonnikodym derivative of the expected measure ehnthetacapcdot induced by theta with respect to the usual ddimensional lebesgue measure we consider here inhomogeneous boolean models with lower dimensional typical grain under general regularity assumptions on the typical grain related to the existence of its minkowski content and on the intensity measure of the underlying poisson point process we prove an explicit formula for the mean density the proof of such formula provides as byproduct estimators for the mean density in terms of the empirical capacity functional which turns to be closely related to the well known random variable density estimation by histograms in the extreme case n0 particular cases and examples are also discussed | [['the', 'mean', 'density', 'of', 'a', 'random', 'closed', 'set', 'theta', 'in', 'rd', 'with', 'hausdorff', 'dimension', 'n', 'is', 'the', 'radonnikodym', 'derivative', 'of', 'the', 'expected', 'measure', 'ehnthetacapcdot', 'induced', 'by', 'theta', 'with', 'respect', 'to', 'the', 'usual', 'ddimensional', 'lebesgue', 'measure', 'we', 'consider', 'here', 'inhomogeneous', 'boolean', 'models', 'with', 'lower', 'dimensional', 'typical', 'grain', 'under', 'general', 'regularity', 'assumptions', 'on', 'the', 'typical', 'grain', 'related', 'to', 'the', 'existence', 'of', 'its', 'minkowski', 'content', 'and', 'on', 'the', 'intensity', 'measure', 'of', 'the', 'underlying', 'poisson', 'point', 'process', 'we', 'prove', 'an', 'explicit', 'formula', 'for', 'the', 'mean', 'density', 'the', 'proof', 'of', 'such', 'formula', 'provides', 'as', 'byproduct', 'estimators', 'for', 'the', 'mean', 'density', 'in', 'terms', 'of', 'the', 'empirical', 'capacity', 'functional', 'which', 'turns', 'to', 'be', 'closely', 'related', 'to', 'the', 'well', 'known', 'random', 'variable', 'density', 'estimation', 'by', 'histograms', 'in', 'the', 'extreme', 'case', 'n0', 'particular', 'cases', 'and', 'examples', 'are', 'also', 'discussed']] | [-0.07236762245207332, 0.11129106917021915, -0.0637390646367657, 0.1034479254894411, -0.022150010390337125, -0.08885182643872361, 0.04439449794734864, 0.35053992674635476, -0.26533050979884676, -0.24518014656518794, 0.11384973528906847, -0.2710533178729085, -0.14733554780945296, 0.16166500186244415, -0.10269592731266983, 0.09223767455131206, -0.04296962184427205, 0.11705773523756006, -0.09766288641876317, -0.25626863455652554, 0.3614556221219227, 0.0387507542794527, 0.2848942720695839, 0.04252105897388154, 0.09384864445977895, 0.0013592034260662951, -0.04895818979630983, 0.031587483976026724, -0.20847263442020314, 0.11856534952196733, 0.19842010469468832, 0.07092154253086494, 0.23167655749477503, -0.3810194913359258, -0.21228979990001798, 0.13207885337174083, 0.08458458185701291, 0.013820345442229522, -0.006236270470761283, -0.27775110156896216, 0.0683256432056687, -0.10505690815490346, -0.21922578559394262, -0.06754518972435432, 0.051724847980103524, 0.06488322655403221, -0.31862077322001603, 0.12216835610307716, 0.07203031755539827, 0.05139586327294277, -0.07715631610183261, -0.14745903991852244, -0.027166742123952207, 0.057477448997448756, 0.07057230494796414, 0.05077466506207751, 0.1119785522130614, -0.09484552788484324, -0.08697470872078178, 0.3566730315797031, -0.1004130139923474, -0.259272682141195, 0.158688317069264, -0.2019626412887213, -0.12412232376793905, 0.09931194316667706, 0.14145627778471093, 0.12620321912113433, -0.1091983405685471, 0.1418916741738009, -0.06718663817502615, 0.1006795064839011, 0.08055787959836366, 0.05594291941437856, 0.14140930124955584, 0.10785571778059555, 0.1416888048090835, 0.17370764978948344, -0.0908506893112447, -0.12500978779776903, -0.34340424920872664, -0.16057659985945205, -0.20785673926837106, 0.11125029213979205, -0.18775241820537847, -0.2196451250550359, 0.33407579755316696, 0.12165821513094283, 0.1893567144220998, 0.11002570124389965, 0.2504543675788382, 0.20957544848402734, 0.007070038585865856, 0.05414457074474803, 0.1193919441041847, 0.18370097883897582, 0.013806189110776943, -0.1608547666326685, 0.09852420816616725, 0.09669534698157578] |
711.4203 | Analysis of Negative Parity Baryon Photoproduction Amplitudes in the
$1/N_c$ Expansion | We study the photoproduction helicity amplitudes of negative parity baryons
in the context of the $1/N_c$ expansion of QCD. A complete analysis to
next-to-leading order is carried out. The results show sub-leading effects to
be within the magnitude expected from the $1/N_c$ power counting. They also
show significant deviations from the quark model, in particular the need for
2-body effects.
| hep-ph | we study the photoproduction helicity amplitudes of negative parity baryons in the context of the 1n_c expansion of qcd a complete analysis to nexttoleading order is carried out the results show subleading effects to be within the magnitude expected from the 1n_c power counting they also show significant deviations from the quark model in particular the need for 2body effects | [['we', 'study', 'the', 'photoproduction', 'helicity', 'amplitudes', 'of', 'negative', 'parity', 'baryons', 'in', 'the', 'context', 'of', 'the', '1n_c', 'expansion', 'of', 'qcd', 'a', 'complete', 'analysis', 'to', 'nexttoleading', 'order', 'is', 'carried', 'out', 'the', 'results', 'show', 'subleading', 'effects', 'to', 'be', 'within', 'the', 'magnitude', 'expected', 'from', 'the', '1n_c', 'power', 'counting', 'they', 'also', 'show', 'significant', 'deviations', 'from', 'the', 'quark', 'model', 'in', 'particular', 'the', 'need', 'for', '2body', 'effects']] | [-0.08737642541527749, 0.15597238443636646, -0.14198039896242942, 0.14262028939750357, -0.057123907500257094, 0.010407157591544092, 0.07700200144511958, 0.28928146480272215, -0.19633696973323822, -0.2473540790999929, -0.02525548458021755, -0.35358843514695765, -0.056696271415178974, 0.09256987715683257, 0.06217737939441577, 0.06873657746861378, 0.051890848018229005, 0.03335079677247753, -0.0659073321633817, -0.2619497390774389, 0.3081125492695719, 0.04126767323274786, 0.22241220697760583, 0.15129775192278128, -0.0005505807232111693, -0.022470011717329423, -0.09047874893682699, 0.022448259095350902, -0.09565995608233303, 0.018383769605619212, 0.22640404075209516, -0.003319272088507811, 0.17100439016552021, -0.4092207964199285, -0.14221319413045422, 0.13519054142137368, 0.1461492809932679, 0.16850194378445546, 0.0017020603641867637, -0.2613732975286742, 0.10429608332148442, -0.24930064797711868, -0.14173970693567148, -0.17310447817047436, -0.005054638166135798, -0.05235388256066168, -0.3192764655686915, 0.09286791234771954, 0.01089415275491774, -0.002923899993766099, 0.024091700526575246, -0.1855943401499341, -0.034583640308119355, 0.10068093417988469, 0.14597593385454577, 0.029990581791692724, 0.08642521315099051, -0.19695971856514613, -0.18697708970867097, 0.4607658334968922, -0.06536505120069099, -0.1616931169293821, 0.024833085087205595, -0.2523556051310152, -0.16312502172465126, 0.1337164029634247, 0.1991101678305616, 0.10466045606105277, -0.14613937080527345, 0.1027349768516918, 0.009467588520298402, 0.20124850409726303, 0.08463099299697205, 0.045562620057413974, 0.19838308757171036, 0.12485401141069209, -0.05763354812127849, 0.11888992322492413, -0.061244046532859406, -0.13814537359867246, -0.41605010589895147, -0.05362341440437982, -0.08911527868670722, 0.05530785561422817, -0.13417293603997676, -0.10066043413244188, 0.3918484242167324, 0.16743863004570206, 0.2059477497357875, 0.05820635054648544, 0.3637236029530565, 0.15603102420767148, 0.10253973773991068, 0.07571923387392114, 0.3249606170148278, 0.16447390981872256, 0.10633862413330158, -0.3096791387690852, -0.010325461882166565, 0.06916404793349405] |
711.4204 | Clustering properties of a type-selected volume-limited sample of
galaxies in the CFHTLS | (abridged) We present an investigation of the clustering of i'AB<24.5
galaxies in the redshift interval 0.2<z<1.2. Using 100,000 precise photometric
redshifts in the four ultra-deep fields of the Canada-France Legacy Survey, we
construct a set of volume-limited galaxy catalogues. We study the dependence of
the amplitude and slope of the galaxy correlation function on absolute B-band
rest-frame luminosity, redshift and best-fitting spectral type. We find: 1. The
comoving correlation length for all galaxies decreases steadily from z~0.3 to
z~1. 2. At all redshifts and luminosities, galaxies with redder rest-frame
colours have clustering amplitudes between two and three times higher than
bluer ones. 3. For bright red and blue galaxies, the clustering amplitude is
invariant with redshift. 4. At z~0.5, less luminous galaxies have higher
clustering amplitudes of around 6 h-1 Mpc. 5. The relative bias between
galaxies with red and blue rest-frame colours increases gradually towards
fainter absolute magnitudes. One of the principal implications of these results
is that although the full galaxy population traces the underlying dark matter
distribution quite well (and is therefore quite weakly biased), redder, older
galaxies have clustering lengths which are almost invariant with redshift, and
by z~1 are quite strongly biased.
| astro-ph | abridged we present an investigation of the clustering of iab245 galaxies in the redshift interval 02z12 using 100000 precise photometric redshifts in the four ultradeep fields of the canadafrance legacy survey we construct a set of volumelimited galaxy catalogues we study the dependence of the amplitude and slope of the galaxy correlation function on absolute bband restframe luminosity redshift and bestfitting spectral type we find 1 the comoving correlation length for all galaxies decreases steadily from z03 to z1 2 at all redshifts and luminosities galaxies with redder restframe colours have clustering amplitudes between two and three times higher than bluer ones 3 for bright red and blue galaxies the clustering amplitude is invariant with redshift 4 at z05 less luminous galaxies have higher clustering amplitudes of around 6 h1 mpc 5 the relative bias between galaxies with red and blue restframe colours increases gradually towards fainter absolute magnitudes one of the principal implications of these results is that although the full galaxy population traces the underlying dark matter distribution quite well and is therefore quite weakly biased redder older galaxies have clustering lengths which are almost invariant with redshift and by z1 are quite strongly biased | [['abridged', 'we', 'present', 'an', 'investigation', 'of', 'the', 'clustering', 'of', 'iab245', 'galaxies', 'in', 'the', 'redshift', 'interval', '02z12', 'using', '100000', 'precise', 'photometric', 'redshifts', 'in', 'the', 'four', 'ultradeep', 'fields', 'of', 'the', 'canadafrance', 'legacy', 'survey', 'we', 'construct', 'a', 'set', 'of', 'volumelimited', 'galaxy', 'catalogues', 'we', 'study', 'the', 'dependence', 'of', 'the', 'amplitude', 'and', 'slope', 'of', 'the', 'galaxy', 'correlation', 'function', 'on', 'absolute', 'bband', 'restframe', 'luminosity', 'redshift', 'and', 'bestfitting', 'spectral', 'type', 'we', 'find', '1', 'the', 'comoving', 'correlation', 'length', 'for', 'all', 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711.4205 | Observation of dressed excitonic states in a single quantum dot | We report the observation of dressed states of a quantum dot. The optically
excited exciton and biexciton states of the quantum dot are coupled by a strong
laser field and the resulting spectral signatures are measured using
differential transmission of a probe field. We demonstrate that the anisotropic
electron-hole exchange interaction induced splitting between the x- and
y-polarized excitonic states can be completely erased by using the AC-Stark
effect induced by the coupling field, without causing any appreciable
broadening of the spectral lines. We also show that by varying the polarization
and strength of a resonant coupling field, we can effectively change the
polarization-axis of the quantum dot.
| cond-mat.mes-hall | we report the observation of dressed states of a quantum dot the optically excited exciton and biexciton states of the quantum dot are coupled by a strong laser field and the resulting spectral signatures are measured using differential transmission of a probe field we demonstrate that the anisotropic electronhole exchange interaction induced splitting between the x and ypolarized excitonic states can be completely erased by using the acstark effect induced by the coupling field without causing any appreciable broadening of the spectral lines we also show that by varying the polarization and strength of a resonant coupling field we can effectively change the polarizationaxis of the quantum dot | [['we', 'report', 'the', 'observation', 'of', 'dressed', 'states', 'of', 'a', 'quantum', 'dot', 'the', 'optically', 'excited', 'exciton', 'and', 'biexciton', 'states', 'of', 'the', 'quantum', 'dot', 'are', 'coupled', 'by', 'a', 'strong', 'laser', 'field', 'and', 'the', 'resulting', 'spectral', 'signatures', 'are', 'measured', 'using', 'differential', 'transmission', 'of', 'a', 'probe', 'field', 'we', 'demonstrate', 'that', 'the', 'anisotropic', 'electronhole', 'exchange', 'interaction', 'induced', 'splitting', 'between', 'the', 'x', 'and', 'ypolarized', 'excitonic', 'states', 'can', 'be', 'completely', 'erased', 'by', 'using', 'the', 'acstark', 'effect', 'induced', 'by', 'the', 'coupling', 'field', 'without', 'causing', 'any', 'appreciable', 'broadening', 'of', 'the', 'spectral', 'lines', 'we', 'also', 'show', 'that', 'by', 'varying', 'the', 'polarization', 'and', 'strength', 'of', 'a', 'resonant', 'coupling', 'field', 'we', 'can', 'effectively', 'change', 'the', 'polarizationaxis', 'of', 'the', 'quantum', 'dot']] | [-0.1870055578161623, 0.2630485254122275, -0.03821985886125416, 0.03432094503333357, 0.008068732721469948, -0.14465931119728032, 0.05782864677336798, 0.41960198133661647, -0.2752515367606533, -0.31434790269584856, -0.012589935892235452, -0.26128099880520705, -0.10366258539899174, 0.16940992411713454, 0.06846546808205475, -0.016271741368816556, 0.05158308744604621, -0.030108652887082546, -0.03371552465413915, -0.13761607172929413, 0.38833950115171934, 0.01569409576292524, 0.2517565934370472, 0.13756585820952308, 0.08233365829964386, 0.019561783388848897, 0.0758498408309419, 0.03380124744410827, -0.08965479737111241, 0.105485780922387, 0.19555022291214613, -0.02789114912967502, 0.21537356299705038, -0.41995847669090625, -0.18370736653211517, 0.057717247352561105, 0.16379890188783686, 0.19475152212081948, -0.07877323271654477, -0.36468543900855793, 0.009958188014679422, -0.14520099894883476, -0.07881214829579553, -0.0622428246669332, -0.03366680430666169, 0.028005146830577716, -0.283847863194054, 0.07504778565315608, 0.04703040422967452, 0.02683457652994684, -0.03171954347064423, -0.006843759719375956, -0.08509332133961894, 0.08687034682109604, -0.02085241110490583, 0.01628485939978996, 0.20024606009301182, -0.13717594778243558, -0.1464560335223502, 0.3115757344797619, -0.18214552680674556, -0.11413810445837869, 0.1072160561925897, -0.17945147272651998, 0.0053503835643424055, 0.1597095378979205, 0.1124448240517038, 0.12440484526314746, -0.09354426801448391, 0.11144963590315082, 0.0294872701220284, 0.2064366288935748, 0.06053348264176068, 0.1323582068168358, 0.24218473645475494, 0.06175259197953323, 0.01068891998310791, 0.16321602867639876, -0.14693381383179505, -0.07997901997938056, -0.26571534078777115, -0.158981680724809, -0.2098910667167576, 0.14157918328636926, -0.05042615839634874, -0.1311156558281977, 0.45719750093679146, 0.11179226475210738, 0.1993080389329067, -0.08366738254569958, 0.2748799015306563, 0.2179499847083309, 0.056272731467245894, 0.021908651758855747, 0.3149453129306018, 0.20059976520486802, 0.030036387068576344, -0.36746465519862687, 0.026933032880041088, -0.048384951508090454] |
711.4206 | Edgeworth Expansion of the Largest Eigenvalue Distribution Function of
GUE Revisited | We derive expansions of the resolvent
Rn(x;y;t)=(Qn(x;t)Pn(y;t)-Qn(y;t)Pn(x;t))/(x-y) of the Hermite kernel Kn at the
edge of the spectrum of the finite n Gaussian Unitary Ensemble (GUEn) and the
finite n expansion of Qn(x;t) and Pn(x;t). Using these large n expansions, we
give another proof of the derivation of an Edgeworth type theorem for the
largest eigenvalue distribution function of GUEn. We conclude with a brief
discussion on the derivation of the probability distribution function of the
corresponding largest eigenvalue in the Gaussian Orthogonal Ensemble (GOEn) and
Gaussian Symplectic Ensembles (GSEn).
| math-ph math.MP | we derive expansions of the resolvent rnxytqnxtpnytqnytpnxtxy of the hermite kernel kn at the edge of the spectrum of the finite n gaussian unitary ensemble guen and the finite n expansion of qnxt and pnxt using these large n expansions we give another proof of the derivation of an edgeworth type theorem for the largest eigenvalue distribution function of guen we conclude with a brief discussion on the derivation of the probability distribution function of the corresponding largest eigenvalue in the gaussian orthogonal ensemble goen and gaussian symplectic ensembles gsen | [['we', 'derive', 'expansions', 'of', 'the', 'resolvent', 'rnxytqnxtpnytqnytpnxtxy', 'of', 'the', 'hermite', 'kernel', 'kn', 'at', 'the', 'edge', 'of', 'the', 'spectrum', 'of', 'the', 'finite', 'n', 'gaussian', 'unitary', 'ensemble', 'guen', 'and', 'the', 'finite', 'n', 'expansion', 'of', 'qnxt', 'and', 'pnxt', 'using', 'these', 'large', 'n', 'expansions', 'we', 'give', 'another', 'proof', 'of', 'the', 'derivation', 'of', 'an', 'edgeworth', 'type', 'theorem', 'for', 'the', 'largest', 'eigenvalue', 'distribution', 'function', 'of', 'guen', 'we', 'conclude', 'with', 'a', 'brief', 'discussion', 'on', 'the', 'derivation', 'of', 'the', 'probability', 'distribution', 'function', 'of', 'the', 'corresponding', 'largest', 'eigenvalue', 'in', 'the', 'gaussian', 'orthogonal', 'ensemble', 'goen', 'and', 'gaussian', 'symplectic', 'ensembles', 'gsen']] | [-0.13284589865699756, 0.09974914607283968, -0.13222888588017329, 0.05155620446731878, -0.012088388361599903, -0.07054890271514482, 0.03732154341847744, 0.29622220295632995, -0.22747882515960915, -0.2007567675318569, 0.08198996125260195, -0.2989261950431175, -0.11567918309497885, 0.13568030616409296, 0.01347814287806233, 0.08408197326224222, 0.056849474363505494, 0.09698789069147477, -0.10125557973244509, -0.21933311424326413, 0.35383532705261955, 0.053047811802000154, 0.25078500465078407, 0.006216451633981494, 0.09819916807938107, 0.05307010463763808, -0.08705967064232153, -0.10226784722587137, -0.1430737998412359, 0.13082389705435393, 0.19514116628344583, 0.1259926282963174, 0.27785526848463127, -0.36005453098305434, -0.12171369839762879, 0.1568720821442819, 0.167721664971607, 0.07357922061021592, 0.03037949623729557, -0.2548911597926256, 0.06917895243481495, -0.17821407292124836, -0.2348571821538255, -0.04125062574437538, 0.01069019885387185, 0.0709762238399234, -0.29301633815779243, 0.09091286876152248, 0.13744226535565632, 0.07017356771325996, -0.005875794346942458, -0.20910382820401602, 0.07748139342076557, 0.07336760673477033, -0.028699894500679748, -0.050841982595535906, 0.07277150518737387, -0.08735531982207714, -0.0489455055293822, 0.304053308832091, -0.11044585196907784, -0.18867110620187813, 0.07178345083957538, -0.20349810228054954, -0.13068430892430072, 0.08996373122601314, 0.14253372597226568, 0.1251484900063207, -0.09681275267110662, 0.15440518720695467, -0.06862484639900368, 0.08214041343781837, 0.10339232398803498, 0.04271010481644162, 0.12328547930485721, 0.05496164286092227, 0.07788398131988077, 0.16871817946044165, -0.061446821417248006, -0.12843753844716174, -0.3818400591871766, -0.1498097290913033, -0.2969691812732192, 0.12202678327340373, -0.22316951849338798, -0.2708382406813461, 0.3915803263093843, 0.07743146370684859, 0.22694884208139293, 0.13661925641949788, 0.23357374879509904, 0.2050444527399228, -0.006673275103229423, 0.08238550646468824, 0.10445213562614003, 0.22662923078399239, -0.005313805104125031, -0.22445972054806906, -0.026774173472509828, 0.15874403837505122] |
711.4207 | First superburst from a classical low-mass X-ray binary transient | We report the analysis of the first superburst from a transiently accreting
neutron star system with the All-Sky Monitor (ASM) on the Rossi X-ray Timing
Explorer. The superburst occurred 55 days after the onset of an accretion
outburst in 4U 1608-522. During that time interval, the accretion rate was at
least 7% of the Eddington limit. The peak flux of the superburst is 22 to 45%
of the Eddington limit, and its radiation energy output is between 4e41 and
9e41 erg for a distance of 3.2 kpc. Fits of cooling models to the superburst
light curve indicate an ignition column depth between 1.5e12 and 4.1e12 g/cm2.
Extrapolating the accretion history observed by the ASM, we derive that this
column was accreted over a period of 26 to 72 years. The superburst
characteristics are consistent with those seen in other superbursting low-mass
X-ray binaries. However, the transient nature of the hosting binary presents
significant challenges for superburst theory, requiring additional ingredients
for the models. The carbon that fuels the superburst is thought to be produced
mostly during the accretion outbursts and destroyed in the frequent type-I
X-ray bursts. Mixing and sedimentation of the elements in the neutron star
envelope may significantly influence the balance between the creation and
destruction of carbon. Furthermore, predictions for the temperature of the
neutron star crust fail to reach the values required for the ignition of carbon
at the inferred column depth.
| astro-ph | we report the analysis of the first superburst from a transiently accreting neutron star system with the allsky monitor asm on the rossi xray timing explorer the superburst occurred 55 days after the onset of an accretion outburst in 4u 1608522 during that time interval the accretion rate was at least 7 of the eddington limit the peak flux of the superburst is 22 to 45 of the eddington limit and its radiation energy output is between 4e41 and 9e41 erg for a distance of 32 kpc fits of cooling models to the superburst light curve indicate an ignition column depth between 15e12 and 41e12 gcm2 extrapolating the accretion history observed by the asm we derive that this column was accreted over a period of 26 to 72 years the superburst characteristics are consistent with those seen in other superbursting lowmass xray binaries however the transient nature of the hosting binary presents significant challenges for superburst theory requiring additional ingredients for the models the carbon that fuels the superburst is thought to be produced mostly during the accretion outbursts and destroyed in the frequent typei xray bursts mixing and sedimentation of the elements in the neutron star envelope may significantly influence the balance between the creation and destruction of carbon furthermore predictions for the temperature of the neutron star crust fail to reach the values required for the ignition of carbon at the inferred column depth | [['we', 'report', 'the', 'analysis', 'of', 'the', 'first', 'superburst', 'from', 'a', 'transiently', 'accreting', 'neutron', 'star', 'system', 'with', 'the', 'allsky', 'monitor', 'asm', 'on', 'the', 'rossi', 'xray', 'timing', 'explorer', 'the', 'superburst', 'occurred', '55', 'days', 'after', 'the', 'onset', 'of', 'an', 'accretion', 'outburst', 'in', '4u', '1608522', 'during', 'that', 'time', 'interval', 'the', 'accretion', 'rate', 'was', 'at', 'least', '7', 'of', 'the', 'eddington', 'limit', 'the', 'peak', 'flux', 'of', 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