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710.5253 | Structure of Supergiant Shells in the Large Magellanic Cloud | Nine supergiant shells (SGSs) have been identified in the Large Magellanic
Cloud (LMC) based on H-alpha images, and twenty-three SGSs have been reported
based on HI 21-cm line observations, but these sets do not always identify the
same structures. We have examined the physical structure of the optically
identified SGSs using HI channel maps and P-V diagrams to analyze the gas
kinematics. There is good evidence for seven of the nine optically identified
SGSs to be true shells. Of these seven H-alpha SGSs, four are the ionized inner
walls of HI SGSs, while three are an ionized portion of a larger and more
complex HI structure. All of the H-alpha SGSs are identified as such because
they have OB associations along the periphery or in the center, with younger OB
associations more often found along the periphery. After roughly 12 Myrs, if no
new OB associations have been formed a SGS will cease to be identifiable at
visible wavelengths. Thus, the presence and location of ionizing sources is the
main distinction between shells seen only in HI and those also seen in H-alpha.
Based on our analysis, H-alpha observations alone cannot unambiguously identify
SGSs, especially in distant galaxies.
| astro-ph | nine supergiant shells sgss have been identified in the large magellanic cloud lmc based on halpha images and twentythree sgss have been reported based on hi 21cm line observations but these sets do not always identify the same structures we have examined the physical structure of the optically identified sgss using hi channel maps and pv diagrams to analyze the gas kinematics there is good evidence for seven of the nine optically identified sgss to be true shells of these seven halpha sgss four are the ionized inner walls of hi sgss while three are an ionized portion of a larger and more complex hi structure all of the halpha sgss are identified as such because they have ob associations along the periphery or in the center with younger ob associations more often found along the periphery after roughly 12 myrs if no new ob associations have been formed a sgs will cease to be identifiable at visible wavelengths thus the presence and location of ionizing sources is the main distinction between shells seen only in hi and those also seen in halpha based on our analysis halpha observations alone cannot unambiguously identify sgss especially in distant galaxies | [['nine', 'supergiant', 'shells', 'sgss', 'have', 'been', 'identified', 'in', 'the', 'large', 'magellanic', 'cloud', 'lmc', 'based', 'on', 'halpha', 'images', 'and', 'twentythree', 'sgss', 'have', 'been', 'reported', 'based', 'on', 'hi', '21cm', 'line', 'observations', 'but', 'these', 'sets', 'do', 'not', 'always', 'identify', 'the', 'same', 'structures', 'we', 'have', 'examined', 'the', 'physical', 'structure', 'of', 'the', 'optically', 'identified', 'sgss', 'using', 'hi', 'channel', 'maps', 'and', 'pv', 'diagrams', 'to', 'analyze', 'the', 'gas', 'kinematics', 'there', 'is', 'good', 'evidence', 'for', 'seven', 'of', 'the', 'nine', 'optically', 'identified', 'sgss', 'to', 'be', 'true', 'shells', 'of', 'these', 'seven', 'halpha', 'sgss', 'four', 'are', 'the', 'ionized', 'inner', 'walls', 'of', 'hi', 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710.5254 | Motivic L-Functions | This is the text of an introductory lecture delivered at the IHES summer
school on motives in July, 2006.
| math.AG math.NT | this is the text of an introductory lecture delivered at the ihes summer school on motives in july 2006 | [['this', 'is', 'the', 'text', 'of', 'an', 'introductory', 'lecture', 'delivered', 'at', 'the', 'ihes', 'summer', 'school', 'on', 'motives', 'in', 'july', '2006']] | [-0.032262578998741354, 0.14709730287722778, -0.21783959456278304, 0.0180486866125935, -0.10149879655555676, -0.06814467649612772, -0.0872652269042048, 0.23830128008328183, -0.19811132004312976, -0.46827021799981594, 0.18587805098535395, -0.3307639520958458, -0.13042142830396952, 0.1675391222693418, -0.3271295584150051, -0.1557941885763093, 0.12660104442559378, 0.04603369230110394, -0.020317109987923975, -0.5721542654853118, 0.26291931283317116, 0.24280302893174321, 0.3021980318191804, 0.09417979438838206, 0.18594891301013136, 0.01059714528290849, -0.09205620265320728, -0.19839088520721385, -0.1345886543981339, 0.15883756875011482, 0.5064110014783708, 0.06141384742467811, 0.3243475250017486, -0.4329769553518609, 0.03799772948810929, -0.10476865364532721, -0.09530843387504942, 0.0026781773684840453, 0.035371920259326305, -0.35752784264715093, -0.06467432320412052, -0.20945516807076178, 0.0034265280946304925, 0.18358738936091723, 0.07805294987108362, -0.0934053446705404, -0.11140769788701284, -0.004049396032075349, 0.06673597044458515, 0.4043983116157745, -0.022893545707981838, -0.17302982215034335, 0.008280774946079442, 0.10399671967484449, 0.002878132558084632, 0.12303023741237427, 0.05630697192330109, -0.1232257739175111, -0.17823954671621323, 0.3775269804816497, 0.017328759312237565, 0.05682793808610816, 0.14176455031663768, -0.1537353691007746, -0.22679326898957552, 0.12036998373897452, 0.38931624061967196, 0.16264334920254586, -0.10990872312533229, 0.15749265189821782, -0.05585777288989017, 0.17504819619812464, 0.1543021522168266, -0.1871472630453737, 0.27709830542536157, 0.11219682407222296, -0.1408882588638287, 0.013120193426546297, -0.041583875427022576, -0.050754920040306295, -0.46253212423701034, -0.17693996037307538, -0.14605358458663287, 0.04176674415602496, 0.13099816147434085, 0.00303830700240245, 0.3938211994735818, 0.06275672703295161, 0.08353661549718756, -0.014903944279802473, 0.12299257360006634, 0.08382448166804879, -0.15745896355886208, 0.10434984138823654, 0.17819104363259516, 0.07498520004906152, 0.38448651676605405, 0.03233806958029929, -0.0018322683723741456, 0.21926865221834496] |
710.5255 | Diophantine Geometry as Galois Theory in the Mathematics of Serge Lang | A remark about the role of Galois theory in Diophantine geometry as reflected
in the work of Serge Lang. An entry in `The mathematical contributions of Serge
Lang.'
| math.NT math.AG | a remark about the role of galois theory in diophantine geometry as reflected in the work of serge lang an entry in the mathematical contributions of serge lang | [['a', 'remark', 'about', 'the', 'role', 'of', 'galois', 'theory', 'in', 'diophantine', 'geometry', 'as', 'reflected', 'in', 'the', 'work', 'of', 'serge', 'lang', 'an', 'entry', 'in', 'the', 'mathematical', 'contributions', 'of', 'serge', 'lang']] | [-0.14352951252034732, 0.026580341414436198, -0.15583190468272992, 0.0554603287684066, -0.06239692600710051, -0.03475787914690694, 0.020573097592984726, 0.1744289473697011, -0.31523310577696456, -0.29567325414557544, 0.05719991286501421, -0.2821677923036207, -0.2329274070964727, 0.20027067365923099, -0.24811844590918294, -0.03442462307534048, -0.06847163376265339, 0.028970065243941332, -0.017886628879101148, -0.3068011284672788, 0.30797949791719603, 0.033159677138818164, 0.18501702090725303, 0.14388451685330697, 0.08126304438337684, 0.06955918506719172, -0.061572859196790626, -0.07963484532332846, -0.11992336766395185, 0.1518731334113649, 0.32372280822268557, 0.09136233408935368, 0.3030087769563709, -0.42048574930855204, -0.12445511642311301, 0.006644112773106566, 0.11433546398101109, 0.06850850169679948, -0.03128324123099446, -0.30963331434343544, -0.012885086770568575, -0.12612418098641293, -0.1790799650230578, 0.027289230110389844, 0.10406832503420967, -0.02285793443609561, -0.1251179198069232, -0.011171428021043539, 0.20029986510053277, 0.23565649148076773, -0.04788828584631639, -0.15942743766520703, 0.04326148853371186, 0.11291747099520373, 0.06147749216428825, 0.056287117851232846, 0.055571543252361674, -0.16513016088200466, -0.1565650579785662, 0.3495183634970869, -0.07209487116363432, -0.15963544776397093, 0.018959710307951485, -0.10214168232466493, -0.19713628877486503, 0.10977027112884181, 0.14810500679803745, 0.09808950470531792, -0.06525150713111673, 0.1908706771209836, -0.17109393755838806, 0.0956952862907201, 0.18730773886532656, -0.008055628942591804, 0.13329211800425714, 0.0863577051287783, -0.01059809882592942, 0.07644094264001719, 0.025279561722917215, -0.1090807377227715, -0.35353752065982136, -0.21580511926939444, -0.12805470265448093, 0.13817471897761738, -0.007736372262505549, -0.1716341561903911, 0.3776600851145174, 0.1388544042461685, 0.1387483183560627, -0.023328506919954504, 0.1982981754200799, 0.049386768032231236, -0.08534096427527922, 0.031400052298392565, 0.21557286182152374, 0.288539527649326, 0.12371114242289748, -0.17299933928526506, 0.025888079993559847, 0.17346202731797739] |
710.5256 | Propagation of $L^{1}$ and $L^{\infty}$ Maxwellian weighted bounds for
derivatives of solutions to the homogeneous elastic Boltzmann Equation | We consider the $n$-dimensional space homogeneous Boltzmann equation for
elastic collisions for variable hard potentials with Grad (angular) cutoff. We
prove sharp moment inequalities, the propagation of $L^1$-Maxwellian weighted
estimates, and consequently, the propagation $L^\infty$-Maxwellian weighted
estimates to all derivatives of the initial value problem associated to the
afore mentioned problem.
More specifically, we extend to all derivatives of the initial value problem
associated to this class of Boltzmann equations corresponding sharp moment
(Povzner) inequalities and time propagation of $L^1$-Maxwellian weighted
estimates as originally developed A.V. Bobylev in the case of hard spheres in 3
dimensions; an improved sharp moments inequalities to a larger class of angular
cross sections and $L^1$-exponential bounds in the case of stationary states to
Boltzmann equations for inelastic interaction problems with `heating' sources,
by A.V. Bobylev, I.M. Gamba and V.Panferov, where high energy tail decay rates
depend on the inelasticity coefficient and the the type of `heating' source;
and more recently, extended to variable hard potentials with angular cutoff by
I.M. Gamba, V. Panferov and C. Villani in the elastic case collision case and
so $L^1$-Maxwellian weighted estimated were shown to propagate if initial
states have such property. In addition, we also extend to all derivatives the
propagation of $L^\infty$-Maxwellian weighted estimates to solutions of the
initial value problem to the Boltzmann equations for elastic collisions for
variable hard potentials with Grad (angular) cutoff.
| math.AP math-ph math.MP | we consider the ndimensional space homogeneous boltzmann equation for elastic collisions for variable hard potentials with grad angular cutoff we prove sharp moment inequalities the propagation of l1maxwellian weighted estimates and consequently the propagation linftymaxwellian weighted estimates to all derivatives of the initial value problem associated to the afore mentioned problem more specifically we extend to all derivatives of the initial value problem associated to this class of boltzmann equations corresponding sharp moment povzner inequalities and time propagation of l1maxwellian weighted estimates as originally developed av bobylev in the case of hard spheres in 3 dimensions an improved sharp moments inequalities to a larger class of angular cross sections and l1exponential bounds in the case of stationary states to boltzmann equations for inelastic interaction problems with heating sources by av bobylev im gamba and vpanferov where high energy tail decay rates depend on the inelasticity coefficient and the the type of heating source and more recently extended to variable hard potentials with angular cutoff by im gamba v panferov and c villani in the elastic case collision case and so l1maxwellian weighted estimated were shown to propagate if initial states have such property in addition we also extend to all derivatives the propagation of linftymaxwellian weighted estimates to solutions of the initial value problem to the boltzmann equations for elastic collisions for variable hard potentials with grad angular cutoff | [['we', 'consider', 'the', 'ndimensional', 'space', 'homogeneous', 'boltzmann', 'equation', 'for', 'elastic', 'collisions', 'for', 'variable', 'hard', 'potentials', 'with', 'grad', 'angular', 'cutoff', 'we', 'prove', 'sharp', 'moment', 'inequalities', 'the', 'propagation', 'of', 'l1maxwellian', 'weighted', 'estimates', 'and', 'consequently', 'the', 'propagation', 'linftymaxwellian', 'weighted', 'estimates', 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'depend', 'on', 'the', 'inelasticity', 'coefficient', 'and', 'the', 'the', 'type', 'of', 'heating', 'source', 'and', 'more', 'recently', 'extended', 'to', 'variable', 'hard', 'potentials', 'with', 'angular', 'cutoff', 'by', 'im', 'gamba', 'v', 'panferov', 'and', 'c', 'villani', 'in', 'the', 'elastic', 'case', 'collision', 'case', 'and', 'so', 'l1maxwellian', 'weighted', 'estimated', 'were', 'shown', 'to', 'propagate', 'if', 'initial', 'states', 'have', 'such', 'property', 'in', 'addition', 'we', 'also', 'extend', 'to', 'all', 'derivatives', 'the', 'propagation', 'of', 'linftymaxwellian', 'weighted', 'estimates', 'to', 'solutions', 'of', 'the', 'initial', 'value', 'problem', 'to', 'the', 'boltzmann', 'equations', 'for', 'elastic', 'collisions', 'for', 'variable', 'hard', 'potentials', 'with', 'grad', 'angular', 'cutoff']] | [-0.07242298582994929, 0.11097926541599788, -0.04863586542030264, 0.10207155468015117, -0.08725008797357857, -0.12115017719042953, 0.012260930174566706, 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710.5257 | Eigenvectors in the Superintegrable Model I: sl_2 Generators | In order to calculate correlation functions of the chiral Potts model, one
only needs to study the eigenvectors of the superintegrable model. Here we
start this study by looking for eigenvectors of the transfer matrix of the
periodic tau_2(t)model which commutes with the chiral Potts transfer matrix. We
show that the degeneracy of the eigenspace of tau_2(t) in the Q=0 sector is
2^r, with r=(N-1)L/N when the size of the transfer matrix L is a multiple of N.
We introduce chiral Potts model operators, different from the more commonly
used generators of quantum group U-tilde_q(sl-hat(2)). From these we can form
the generators of a loop algebra L(sl(2)). For this algebra, we then use the
roots of the Drinfeld polynomial to give new explicit expressions for the
generators representing the loop algebra as the direct sum of r copies of the
simple algebra sl(2).
| math-ph math.MP | in order to calculate correlation functions of the chiral potts model one only needs to study the eigenvectors of the superintegrable model here we start this study by looking for eigenvectors of the transfer matrix of the periodic tau_2tmodel which commutes with the chiral potts transfer matrix we show that the degeneracy of the eigenspace of tau_2t in the q0 sector is 2r with rn1ln when the size of the transfer matrix l is a multiple of n we introduce chiral potts model operators different from the more commonly used generators of quantum group utilde_qslhat2 from these we can form the generators of a loop algebra lsl2 for this algebra we then use the roots of the drinfeld polynomial to give new explicit expressions for the generators representing the loop algebra as the direct sum of r copies of the simple algebra sl2 | [['in', 'order', 'to', 'calculate', 'correlation', 'functions', 'of', 'the', 'chiral', 'potts', 'model', 'one', 'only', 'needs', 'to', 'study', 'the', 'eigenvectors', 'of', 'the', 'superintegrable', 'model', 'here', 'we', 'start', 'this', 'study', 'by', 'looking', 'for', 'eigenvectors', 'of', 'the', 'transfer', 'matrix', 'of', 'the', 'periodic', 'tau_2tmodel', 'which', 'commutes', 'with', 'the', 'chiral', 'potts', 'transfer', 'matrix', 'we', 'show', 'that', 'the', 'degeneracy', 'of', 'the', 'eigenspace', 'of', 'tau_2t', 'in', 'the', 'q0', 'sector', 'is', '2r', 'with', 'rn1ln', 'when', 'the', 'size', 'of', 'the', 'transfer', 'matrix', 'l', 'is', 'a', 'multiple', 'of', 'n', 'we', 'introduce', 'chiral', 'potts', 'model', 'operators', 'different', 'from', 'the', 'more', 'commonly', 'used', 'generators', 'of', 'quantum', 'group', 'utilde_qslhat2', 'from', 'these', 'we', 'can', 'form', 'the', 'generators', 'of', 'a', 'loop', 'algebra', 'lsl2', 'for', 'this', 'algebra', 'we', 'then', 'use', 'the', 'roots', 'of', 'the', 'drinfeld', 'polynomial', 'to', 'give', 'new', 'explicit', 'expressions', 'for', 'the', 'generators', 'representing', 'the', 'loop', 'algebra', 'as', 'the', 'direct', 'sum', 'of', 'r', 'copies', 'of', 'the', 'simple', 'algebra', 'sl2']] | [-0.14507636450073622, 0.11921282742413686, -0.037784620643787674, 0.03624606540547215, -0.08168325594813972, -0.12009353579269896, -0.021186526697263015, 0.3160205914525034, -0.3005973445586592, -0.22549646393657266, 0.10669554932304262, -0.2807068876928831, -0.16791128586448406, 0.11415357839671238, -0.003469466764426274, 0.03790371673409459, 0.03187265725330644, 0.11760949743442613, -0.13513479180627322, -0.19573575896612977, 0.37254631237575797, 0.014221515971329732, 0.21348422978461967, 0.009189627823426569, 0.11129495179910454, 0.03999322499718062, 0.02449436171948508, -0.06451413419982083, -0.12370543029996199, 0.1404829662386998, 0.23235487153338227, 0.07649364264132522, 0.17432963040074428, -0.4188088593642703, -0.12334452340004148, 0.15275945663854157, 0.15965708837971734, 0.11336365476227198, 0.011363017296886721, -0.23408287828922164, 0.09357709708127776, -0.24716785026164792, -0.12758877634057414, -0.07361062455808462, 0.018580543651185232, -0.02815491489717643, -0.307984210999696, 0.05270567510223432, 0.053858067491929305, 0.08312292942415467, -0.019265504736493497, -0.13571326617861715, -0.06023358318807303, 0.1577653908566488, -0.0028427061046935992, -0.011697140368197462, 0.08067903499849302, -0.12532514148465485, -0.1618367690361011, 0.3762438016601925, -0.021004844727430146, -0.2259038771844382, 0.097267472371124, -0.19213587058902376, -0.15706768187044337, 0.0638695214133837, 0.1296488135959283, 0.09562785078925516, -0.10430644186460263, 0.16347793253848877, -0.08871571504738744, 0.1067360366850408, 0.02521205341389818, -0.032249379246462165, 0.16408891281072827, 0.08196306347984338, 0.039896612347056756, 0.19592552359061813, -0.010596368917458349, -0.10809346017756051, -0.3529840070430169, -0.18209396765681266, -0.2055172460160399, 0.09173773241182454, -0.149497719376688, -0.17025338417495325, 0.46348314616232844, 0.17737391886214238, 0.21785167569508976, 0.08346639227929438, 0.24182059450691445, 0.157394291148789, 0.12366958742411874, 0.05014559423912458, 0.15289068817355328, 0.18946318140776036, 0.015536109307151047, -0.22665882791332204, -0.04891301535083343, 0.1715792700574606] |
710.5258 | Electronic structure of kinetic energy driven cuprate superconductors | In this paper, we review the low energy electronic structure of the kinetic
energy driven d-wave cuprate superconductors. We give a general description of
the charge-spin separation fermion-spin theory, where the constrained electron
is decoupled as the gauge invariant dressed holon and spin. In particular, we
show that under the decoupling scheme, the charge-spin separation fermion-spin
representation is a natural representation of the constrained electron defined
in a restricted Hilbert space without double electron occupancy. Based on the
charge-spin separation fermion-spin theory, we have developed the kinetic
energy driven superconducting mechanism, where the superconducting state is
controlled by both superconducting gap parameter and quasiparticle coherence.
Within this kinetic energy driven superconductivity, we have discussed the low
energy electronic structure of the single layer and bilayer cuprate
superconductors in both superconducting and normal states, and qualitatively
reproduced all main features of the angle-resolved photoemission spectroscopy
measurements on the single layer and bilayer cuprate superconductors. We show
that the superconducting state in cuprate superconductors is the conventional
Bardeen-Cooper-Schrieffer like with the d-wave symmetry, so that the basic
Bardeen-Cooper-Schrieffer formalism with the d-wave gap function is still valid
in discussions of the low energy electronic structure of cuprate
superconductors, although the pairing mechanism is driven by the kinetic energy
by exchanging spin excitations. We also show that the well pronounced
peak-dip-hump structure of the bilayer cuprate superconductors in the
superconducting state and double-peak structure in the normal state are mainly
caused by the bilayer splitting.
| cond-mat.supr-con cond-mat.str-el | in this paper we review the low energy electronic structure of the kinetic energy driven dwave cuprate superconductors we give a general description of the chargespin separation fermionspin theory where the constrained electron is decoupled as the gauge invariant dressed holon and spin in particular we show that under the decoupling scheme the chargespin separation fermionspin representation is a natural representation of the constrained electron defined in a restricted hilbert space without double electron occupancy based on the chargespin separation fermionspin theory we have developed the kinetic energy driven superconducting mechanism where the superconducting state is controlled by both superconducting gap parameter and quasiparticle coherence within this kinetic energy driven superconductivity we have discussed the low energy electronic structure of the single layer and bilayer cuprate superconductors in both superconducting and normal states and qualitatively reproduced all main features of the angleresolved photoemission spectroscopy measurements on the single layer and bilayer cuprate superconductors we show that the superconducting state in cuprate superconductors is the conventional bardeencooperschrieffer like with the dwave symmetry so that the basic bardeencooperschrieffer formalism with the dwave gap function is still valid in discussions of the low energy electronic structure of cuprate superconductors although the pairing mechanism is driven by the kinetic energy by exchanging spin excitations we also show that the well pronounced peakdiphump structure of the bilayer cuprate superconductors in the superconducting state and doublepeak structure in the normal state are mainly caused by the bilayer splitting | [['in', 'this', 'paper', 'we', 'review', 'the', 'low', 'energy', 'electronic', 'structure', 'of', 'the', 'kinetic', 'energy', 'driven', 'dwave', 'cuprate', 'superconductors', 'we', 'give', 'a', 'general', 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710.5259 | High sensitivity cantilevers for measuring persistent currents in normal
metal rings | We propose a new approach to measuring persistent currents in normal metal
rings. By integrating micron-scale metal rings into sensitive micromechanical
cantilevers and using the cantilevers as torque magnetometers, it should be
possible to measure the rings' persistent currents with greater sensitivity
than the SQUID-based and microwave resonator-based detectors used in the past.
In addition, cantilever-based detectors may allow for measurements in a cleaner
electromagnetic environment. We have fabricated ultra sensitive cantilevers
with integrated rings and measured their mechanical properties. We present an
estimate of the persistent current sensitivity of these cantilever-based
detectors, focusing on the limits set by the cantilever's Brownian motion and
the shot noise in the laser interferometer that monitors the cantilever.
| cond-mat.mes-hall | we propose a new approach to measuring persistent currents in normal metal rings by integrating micronscale metal rings into sensitive micromechanical cantilevers and using the cantilevers as torque magnetometers it should be possible to measure the rings persistent currents with greater sensitivity than the squidbased and microwave resonatorbased detectors used in the past in addition cantileverbased detectors may allow for measurements in a cleaner electromagnetic environment we have fabricated ultra sensitive cantilevers with integrated rings and measured their mechanical properties we present an estimate of the persistent current sensitivity of these cantileverbased detectors focusing on the limits set by the cantilevers brownian motion and the shot noise in the laser interferometer that monitors the cantilever | [['we', 'propose', 'a', 'new', 'approach', 'to', 'measuring', 'persistent', 'currents', 'in', 'normal', 'metal', 'rings', 'by', 'integrating', 'micronscale', 'metal', 'rings', 'into', 'sensitive', 'micromechanical', 'cantilevers', 'and', 'using', 'the', 'cantilevers', 'as', 'torque', 'magnetometers', 'it', 'should', 'be', 'possible', 'to', 'measure', 'the', 'rings', 'persistent', 'currents', 'with', 'greater', 'sensitivity', 'than', 'the', 'squidbased', 'and', 'microwave', 'resonatorbased', 'detectors', 'used', 'in', 'the', 'past', 'in', 'addition', 'cantileverbased', 'detectors', 'may', 'allow', 'for', 'measurements', 'in', 'a', 'cleaner', 'electromagnetic', 'environment', 'we', 'have', 'fabricated', 'ultra', 'sensitive', 'cantilevers', 'with', 'integrated', 'rings', 'and', 'measured', 'their', 'mechanical', 'properties', 'we', 'present', 'an', 'estimate', 'of', 'the', 'persistent', 'current', 'sensitivity', 'of', 'these', 'cantileverbased', 'detectors', 'focusing', 'on', 'the', 'limits', 'set', 'by', 'the', 'cantilevers', 'brownian', 'motion', 'and', 'the', 'shot', 'noise', 'in', 'the', 'laser', 'interferometer', 'that', 'monitors', 'the', 'cantilever']] | [-0.12835219634453887, 0.1666486057747692, -0.0510913859485932, -0.001213678536410241, -0.027594797191736492, -0.15710771500092485, 0.009339918692231827, 0.4339887843183849, -0.21644884815196627, -0.32438014413675537, 0.08298085009496983, -0.31154359514298646, -0.08734701234371522, 0.2931545322963401, -0.04771910617532937, 0.06540010623309923, 0.028177683334797622, -0.04282125802508191, -0.03016375997964212, -0.12626940303320147, 0.23312236808402384, 0.09828661586684377, 0.29946427629531724, -0.019334967414160138, 0.1410024666470354, -0.030436787482998943, -0.007739272802744223, 0.056211432938099555, -0.132903872955016, 0.12488908781467573, 0.24296818496052014, -0.012867245395951297, 0.1676355283221473, -0.5231615440353103, -0.1472550309379585, 0.09904890032080205, 0.09019866255769993, 0.08656128575296505, -0.03320979935663712, -0.3364906941257093, 0.049699058399900145, -0.1618069139511689, -0.11508545109030345, -0.11402538326447424, 0.013779591234481853, 0.07742564911528936, -0.18440541511644487, 0.032037268919141396, 0.04724655050541396, 0.049640790389283845, -0.03739647633679535, -0.08030249496274021, 0.052902629779165856, 0.06747269830868943, -0.058355393855953994, -0.022335561634668998, 0.3101972718609234, -0.14504018664036109, -0.12485749156254788, 0.29845971215678296, -0.13128327496979972, -0.17720469433976258, 0.1852610997126802, -0.21740122016357338, -0.02483843692942806, 0.11575690496753416, 0.1676296569245017, 0.11705707515508908, -0.21660534871499176, -0.010926073188286112, 0.06808479172380075, 0.16956009842131448, 0.13166458235000786, 0.11078923535178942, 0.2828446844511706, 0.23753309133158915, 0.09658862116908573, 0.16001380313005623, -0.19774027956528184, 0.06849460485340704, -0.23916948727615503, -0.14356867273581092, -0.14479679079807323, 0.07577246249774876, -0.02898436476231006, -0.13289610761035558, 0.37657485050351724, 0.184746105164168, 0.12998346883965575, -0.049196837328212416, 0.36709962678344354, 0.06336721132582802, 0.13458109702813723, -0.048878714498942315, 0.31981144279707224, 0.17877060267264427, 0.11450329669548766, -0.20944419627928215, 0.026960341968452154, -0.041118369696904786] |
710.526 | On the nature of steady states of spin distributions in the presence of
spin-orbit interactions | In the presence of spin-orbit interactions, the steady state established for
spin distributions in an electric field is qualitatively different from the
steady state for charge distributions. This is primarily because the steady
state established for spin distributions involves spin precession due to
spin-orbit coupling. We demonstrate in this work that the spin density matrix
in an external electric field acquires two corrections with different
dependencies on the characteristic momentum scattering time. One part is
associated with conserved spins, diverges in the clean limit and is responsible
for the establishment of a steady-state spin density in electric fields.
Another part is associated with precessing spins, is finite in the clean limit
and is responsible for the establishment of spin currents in electric fields.
Scattering between these distributions has important consequences for spin
dynamics and spin-related effects in general, and explains some recent puzzling
observations, which are captured by our unified theory.
| cond-mat.mes-hall | in the presence of spinorbit interactions the steady state established for spin distributions in an electric field is qualitatively different from the steady state for charge distributions this is primarily because the steady state established for spin distributions involves spin precession due to spinorbit coupling we demonstrate in this work that the spin density matrix in an external electric field acquires two corrections with different dependencies on the characteristic momentum scattering time one part is associated with conserved spins diverges in the clean limit and is responsible for the establishment of a steadystate spin density in electric fields another part is associated with precessing spins is finite in the clean limit and is responsible for the establishment of spin currents in electric fields scattering between these distributions has important consequences for spin dynamics and spinrelated effects in general and explains some recent puzzling observations which are captured by our unified theory | [['in', 'the', 'presence', 'of', 'spinorbit', 'interactions', 'the', 'steady', 'state', 'established', 'for', 'spin', 'distributions', 'in', 'an', 'electric', 'field', 'is', 'qualitatively', 'different', 'from', 'the', 'steady', 'state', 'for', 'charge', 'distributions', 'this', 'is', 'primarily', 'because', 'the', 'steady', 'state', 'established', 'for', 'spin', 'distributions', 'involves', 'spin', 'precession', 'due', 'to', 'spinorbit', 'coupling', 'we', 'demonstrate', 'in', 'this', 'work', 'that', 'the', 'spin', 'density', 'matrix', 'in', 'an', 'external', 'electric', 'field', 'acquires', 'two', 'corrections', 'with', 'different', 'dependencies', 'on', 'the', 'characteristic', 'momentum', 'scattering', 'time', 'one', 'part', 'is', 'associated', 'with', 'conserved', 'spins', 'diverges', 'in', 'the', 'clean', 'limit', 'and', 'is', 'responsible', 'for', 'the', 'establishment', 'of', 'a', 'steadystate', 'spin', 'density', 'in', 'electric', 'fields', 'another', 'part', 'is', 'associated', 'with', 'precessing', 'spins', 'is', 'finite', 'in', 'the', 'clean', 'limit', 'and', 'is', 'responsible', 'for', 'the', 'establishment', 'of', 'spin', 'currents', 'in', 'electric', 'fields', 'scattering', 'between', 'these', 'distributions', 'has', 'important', 'consequences', 'for', 'spin', 'dynamics', 'and', 'spinrelated', 'effects', 'in', 'general', 'and', 'explains', 'some', 'recent', 'puzzling', 'observations', 'which', 'are', 'captured', 'by', 'our', 'unified', 'theory']] | [-0.19323059819355015, 0.22258776723617682, -0.053352288231454076, 0.06615637606148614, -0.012645760187200757, -0.09222131877804533, -0.04797434875246643, 0.34689146054550907, -0.2452929881709745, -0.28258259646249134, 0.028937208641240286, -0.2683307032736129, -0.07422582216141436, 0.18808356237702614, 0.025252329210275846, -0.012138723237717537, -0.021903139699423157, 0.015380926023157227, -0.07301977763048047, -0.14730764850079767, 0.3383962433715428, 0.00407722234010499, 0.31130737036663964, 0.09462600726239531, 0.09454998851056821, 0.05922813827653002, 0.04911546375785973, -0.0015706134935384555, -0.060977043565726974, 0.048768165186726, 0.2364511593115448, -0.022437377197556937, 0.1877666120872284, -0.4620089212074777, -0.19364876417282795, 0.053895205160639933, 0.12817812792722458, 0.19263148751797537, -0.08031592317718075, -0.2619834987304809, -0.005729719179232192, -0.18684941849406092, -0.17087456932143363, -0.10107189048211158, 0.08311498286171712, 0.01447743611003192, -0.28380624748248334, 0.14372071470997438, 0.08577607015443854, 0.044897588941311795, -0.1097333483946886, -0.10880084953730346, -0.0425029564109193, 0.11975688539100009, 0.12208393102859467, 0.04752095703448829, 0.13560942479637483, -0.1791289575114254, -0.12702169270248503, 0.30918291069271153, -0.09081805758918358, -0.20739670656004686, 0.1711386305354042, -0.2095616942561472, -0.11324239450673394, 0.13536633889727442, 0.12960460292412868, 0.11380387098522277, -0.16032838488046994, 0.09381173846977979, -1.6730392832827095e-06, 0.12002353203970174, -0.007659149906653541, 0.06388394265252147, 0.3096606376031969, 0.161881530998176, 0.05110924769908387, 0.12356810692993812, -0.11681931997442754, -0.1433353688481529, -0.2739018033326462, -0.13024037227359145, -0.22134699495139204, 0.10099363055030834, -0.04925018608753588, -0.11978532245000269, 0.4162062976096097, 0.17119507755257732, 0.17968333346016754, -0.0244627671419575, 0.28269996178268597, 0.14861535304148885, 0.059776432590176724, 0.0765380696054326, 0.277818527479158, 0.22306025022832024, 0.09743921900636807, -0.2904871783291748, 0.11465827941613901, -0.00699284321525202] |
710.5261 | Filamentation Instability of Interacting Current Sheets in Striped
Relativistic Winds: The Origin of Low Sigma? | I outline a mechanism, akin to Weibel instabilities of interpenetrating
beams, in which the neighboring current sheets in a striped wind from an
oblique rotator interact through a two stream-like mechanism (a Weibel
instability in flatland), to create an anomalous resistivity that heats the
sheets and causes the magnetic field to diffusively annihilate in the wind
upstream of the termination shock. The heating has consequences for observable
unpulsed emission from pulsars.
| astro-ph | i outline a mechanism akin to weibel instabilities of interpenetrating beams in which the neighboring current sheets in a striped wind from an oblique rotator interact through a two streamlike mechanism a weibel instability in flatland to create an anomalous resistivity that heats the sheets and causes the magnetic field to diffusively annihilate in the wind upstream of the termination shock the heating has consequences for observable unpulsed emission from pulsars | [['i', 'outline', 'a', 'mechanism', 'akin', 'to', 'weibel', 'instabilities', 'of', 'interpenetrating', 'beams', 'in', 'which', 'the', 'neighboring', 'current', 'sheets', 'in', 'a', 'striped', 'wind', 'from', 'an', 'oblique', 'rotator', 'interact', 'through', 'a', 'two', 'streamlike', 'mechanism', 'a', 'weibel', 'instability', 'in', 'flatland', 'to', 'create', 'an', 'anomalous', 'resistivity', 'that', 'heats', 'the', 'sheets', 'and', 'causes', 'the', 'magnetic', 'field', 'to', 'diffusively', 'annihilate', 'in', 'the', 'wind', 'upstream', 'of', 'the', 'termination', 'shock', 'the', 'heating', 'has', 'consequences', 'for', 'observable', 'unpulsed', 'emission', 'from', 'pulsars']] | [-0.18595169988316548, 0.271863259942825, -0.04278279064734742, 0.09929248693556537, -0.12492808405782135, -0.11278522641621005, -0.00462172941376888, 0.35907263702280084, -0.33791080858348543, -0.21320388510718313, -0.003616736014701531, -0.2879939895438057, -0.0511412929061433, 0.22919311198655148, 0.05429993254381796, -0.09476557877045912, -0.0026373979176433993, -0.060611581272432505, 0.031748203642692575, -0.13205152928409442, 0.26835399864792403, 0.10244301396330267, 0.2592455056876364, -0.009008251445394166, 0.07698467425988909, -0.1112762310765159, 0.11446145759292052, 0.0025298257528896064, -0.10290838861036603, -0.004644558966671392, 0.13490083766445307, 0.04052417739753572, 0.22519107105236658, -0.5616821097341221, -0.22996263788942523, -0.014914923452470504, 0.22985023034500404, 0.10208772092054985, -0.09045880438077827, -0.21968457030630867, -0.015004998099216273, -0.21903939221159252, -0.18026732608780893, 0.04787315664940815, 0.011311779638816287, 0.05785741933136129, -0.2857733751502885, 0.09409730100978009, 0.10376674332164071, 0.02542062314935553, -0.12118033521061003, 0.0015081060184559353, -0.08897247076244422, -0.010852286670829209, 0.139902067534678, 0.07495761999834172, 0.19475357631273882, -0.2037676532529819, -0.12177871536253623, 0.365962824587461, -0.05714625454652057, -0.08836081617472458, 0.22845994063298886, -0.20970895702780132, -0.0912751468705197, 0.2463540533478831, 0.18368258903747503, 0.04279602970927954, -0.09684454265352287, -0.034587687833241225, -0.021043181084883466, 0.07629214773531741, 0.09565153282503007, -0.04106705740067951, 0.3437608460515318, 0.15827318115658323, 0.027364534903055345, 0.18222598617397984, -0.1388162127105703, -0.010564434627385837, -0.2595103169089629, -0.13046861989554806, -0.07408779100711707, 0.05431334346427884, -0.04150904955085807, -0.21402965852675934, 0.39418902678388945, 0.22399471096799406, 0.16734967260083683, -0.14557424099610883, 0.3194773279287865, 0.06572052633429182, 0.0630668779362885, 0.16768821938829104, 0.31259212228403965, 0.19849451814292812, 0.13115025789503165, -0.25744141191637643, 0.11036852566184292, 0.05431285964548063] |
710.5262 | Pulsar Dreams | I share a few reminiscences and observations of 40 years of Pulsars.
| astro-ph | i share a few reminiscences and observations of 40 years of pulsars | [['i', 'share', 'a', 'few', 'reminiscences', 'and', 'observations', 'of', '40', 'years', 'of', 'pulsars']] | [-0.10752249928191304, 0.14517080194006363, -0.03157290042145178, 0.05008743858585755, -0.1675712144933641, -0.147471587183342, 0.12694799403349558, 0.39310422539711, -0.161918963616093, -0.42084672457228106, 0.14041677055259547, -0.45491791144013405, -0.01444531666735808, 0.2214347335199515, -0.08938066032715142, -0.11016320747633775, 0.17295677168294787, -0.03885631402954459, -0.0873464507361253, -0.34122971662630636, 0.19512243289500475, 0.01852089073508978, 0.0743353352881968, -0.061082407676925264, 0.16763866312491396, -0.13666124362498522, -0.13442092761397362, -0.05828035560746988, -0.09347343809592228, 0.14315227419137955, 0.2534245355054736, 0.2734817184973508, 0.3448535463151832, -0.46859333105385303, -0.15921785674678782, -0.02842997821668784, 0.0983375891422232, 0.010888875248686722, -0.020996829417223733, -0.22578084864653647, 0.04084375291131437, -0.3383950466910998, -0.16437402678032717, 0.07135432103920418, 0.15456517537434897, 0.08314651669934392, -0.10083068860694766, 0.0395245891995728, 0.04272052994929254, 0.20614763597647348, -0.06874663988128304, -0.17628469442327818, 0.1449597335110108, 0.06635580343815188, 0.1558374180458486, -0.0012588342651724815, 0.06675071098531286, -0.12225450319238007, -0.14395253577580056, 0.3690681462176144, -0.05773854674771428, 0.11593813883761565, 0.17179796565324068, -0.24706741888076067, -0.2663313988596201, 0.1192253278568387, 0.13256900012493134, 0.1077961561580499, -0.14818375813774765, -0.043556655179903224, -0.09510038513690233, 0.16461050882935524, 0.07832217852895458, 0.1209184891389062, 0.2909640003927052, 0.13698261619235078, -0.06378564114371936, -0.05228840724642699, -0.23840004950761795, -0.06382784627688427, -0.21624204671631256, -0.10183691699057817, -0.10833254052946965, 0.17783117045958838, -0.051918421831942396, 0.007139987622698148, 0.5369754073520502, 0.1250597924614946, 0.19535201378312195, 0.015736142716680963, 0.1262621512869373, -0.04768425738438964, 0.09816099400632083, 0.14934190160905322, 0.2831688541918993, 0.16434411285445094, 0.18288118609537682, 0.012620542276029786, 0.008389542655398449, -0.17384991965567073] |
710.5263 | Geometry of Character Varieties of Surface Groups | This article is based on a talk delivered at the RIMS--OCAMI Joint
International Conference on Geometry Related to Integrable Systems in
September, 2007. Its aim is to review a recent progress in the Hitchin
integrable systems and character varieties of the fundamental groups of Riemann
surfaces. A survey on geometric aspects of these character varieties is also
provided as we develop the exposition from a simple case to more elaborate
cases.
| math.AG | this article is based on a talk delivered at the rimsocami joint international conference on geometry related to integrable systems in september 2007 its aim is to review a recent progress in the hitchin integrable systems and character varieties of the fundamental groups of riemann surfaces a survey on geometric aspects of these character varieties is also provided as we develop the exposition from a simple case to more elaborate cases | [['this', 'article', 'is', 'based', 'on', 'a', 'talk', 'delivered', 'at', 'the', 'rimsocami', 'joint', 'international', 'conference', 'on', 'geometry', 'related', 'to', 'integrable', 'systems', 'in', 'september', '2007', 'its', 'aim', 'is', 'to', 'review', 'a', 'recent', 'progress', 'in', 'the', 'hitchin', 'integrable', 'systems', 'and', 'character', 'varieties', 'of', 'the', 'fundamental', 'groups', 'of', 'riemann', 'surfaces', 'a', 'survey', 'on', 'geometric', 'aspects', 'of', 'these', 'character', 'varieties', 'is', 'also', 'provided', 'as', 'we', 'develop', 'the', 'exposition', 'from', 'a', 'simple', 'case', 'to', 'more', 'elaborate', 'cases']] | [-0.1337856191393387, 0.013715199292970022, -0.13049005945545755, 0.05443608926143497, -0.13927904798516205, -0.10240709365877722, -0.009989941093538488, 0.3094984146051242, -0.22433831165544688, -0.2497638060578278, 0.16484824833127537, -0.27485027760267255, -0.23219705414293068, 0.24449173400976829, -0.18227792674941676, -0.006333442911272869, 0.08074015128825392, 0.04634291590524039, -0.11067137287131378, -0.35815368735098413, 0.39413519421858445, 0.09394561971670815, 0.2871096869032564, 0.09274889937369153, 0.10255542764373655, 0.017669519389580404, -0.07537259636446833, -0.06751992631951517, -0.14317559896569168, 0.21080458609919464, 0.3160836499317416, 0.0663097611961088, 0.21266777770859854, -0.4243409981418933, -0.1692597845436207, 0.0576647898315319, 0.07027953050232359, 0.08359226722802435, -0.017511339714526133, -0.27895863772968627, -0.010558070162577288, -0.16869139721883195, -0.15775185315204518, -0.019751884029912098, 0.06913724850331034, 0.02014271111360618, -0.1173605602367648, 0.013237026516331492, 0.09409801370597311, 0.15601718735748105, -0.024663217088008033, -0.11644307971000671, 0.026531509137047188, 0.08465046933852136, 0.023423844219983687, 0.05792439120954701, 0.069111491413787, -0.10918164511011648, -0.12735793908525792, 0.39807236880795765, -0.014823125994631222, -0.17129587084387563, 0.22542628636583686, -0.12526657217365159, -0.22355620172539992, 0.08533253760376414, 0.25541727358608374, 0.13338954569771885, -0.11565924336069397, 0.136065843261479, -0.056215908185445834, 0.13488254621624945, 0.025984556266848813, -0.03647750032001308, 0.25085517181349654, 0.16456522845796176, 0.01690759824289541, 0.10690120668150485, -0.022452893763381457, -0.0907505431345531, -0.35092754012772015, -0.1499022006323295, -0.12916379689372012, 0.09614939776116184, 0.07384881513613177, -0.10831406303082726, 0.44582711246662904, 0.12652015111941312, 0.1728618441182854, 0.04684499615603792, 0.23934314250946045, 0.044397945650520604, -0.02612766562961042, 0.013233136006497911, 0.19110517402046492, 0.19485566175675817, 0.11366441060256745, -0.10837936091702431, -0.02262178918047409, 0.16233859261763947] |
710.5264 | Aging in a Colloidal Glass in Creep Flow: Time-Stress Superposition | In this work, we study ageing behavior of aqueous laponite suspension, a
model soft glassy material, in creep. We observe that viscoelastic behavior is
time dependent and is strongly influenced by the deformation field; the effect
is known to arise due to ageing and rejuvenation. We show that irrespective of
strength of deformation field (shear stress) and age, when imposed time-scale
is normalized with dominating relaxation mode of the system, universal ageing
behavior is obtained demonstrating time-stress superposition; the phenomena
that may be generic in variety of soft materials.
| cond-mat.soft | in this work we study ageing behavior of aqueous laponite suspension a model soft glassy material in creep we observe that viscoelastic behavior is time dependent and is strongly influenced by the deformation field the effect is known to arise due to ageing and rejuvenation we show that irrespective of strength of deformation field shear stress and age when imposed timescale is normalized with dominating relaxation mode of the system universal ageing behavior is obtained demonstrating timestress superposition the phenomena that may be generic in variety of soft materials | [['in', 'this', 'work', 'we', 'study', 'ageing', 'behavior', 'of', 'aqueous', 'laponite', 'suspension', 'a', 'model', 'soft', 'glassy', 'material', 'in', 'creep', 'we', 'observe', 'that', 'viscoelastic', 'behavior', 'is', 'time', 'dependent', 'and', 'is', 'strongly', 'influenced', 'by', 'the', 'deformation', 'field', 'the', 'effect', 'is', 'known', 'to', 'arise', 'due', 'to', 'ageing', 'and', 'rejuvenation', 'we', 'show', 'that', 'irrespective', 'of', 'strength', 'of', 'deformation', 'field', 'shear', 'stress', 'and', 'age', 'when', 'imposed', 'timescale', 'is', 'normalized', 'with', 'dominating', 'relaxation', 'mode', 'of', 'the', 'system', 'universal', 'ageing', 'behavior', 'is', 'obtained', 'demonstrating', 'timestress', 'superposition', 'the', 'phenomena', 'that', 'may', 'be', 'generic', 'in', 'variety', 'of', 'soft', 'materials']] | [-0.1483078842178326, 0.2519747508075935, -0.147605122405697, -0.014717673835217614, -0.07309701126492159, -0.10836738982470706, -0.03966159524597143, 0.38555346424056386, -0.33891077184605156, -0.25879437920891424, 0.08054920360154938, -0.21200904192995618, -0.23325534122572703, 0.17423556739496152, -0.08092105881818994, 0.002926697181961076, 0.007103558885071173, -0.019538021590878172, -0.018950529478553853, -0.19026485572844234, 0.27884647415273567, 0.02167411434823986, 0.31584074115380645, 0.07712935842573643, 0.06162100727669895, 0.010418911043829708, 0.046799656257710674, 0.10537419506264004, -0.15363934586234376, -0.002286997930654748, 0.21528801491314714, 0.013968582265079021, 0.21523358785039323, -0.41932726255618036, -0.25467910660451953, 0.10120050696026407, 0.1112980264429511, 0.08410562426698479, -0.019560347660444677, -0.19249081147030334, 0.07609719553412023, -0.15164042862703686, -0.154182871311522, -0.06562935859123668, 0.07222212756592357, 0.02659322227224369, -0.23639134367906742, 0.1837075513163158, 0.094506096218538, 0.08402691122848244, -0.1486315580338917, -0.036386723517683676, -6.38841355050152e-05, 0.07447460212113749, 0.16898911962396762, -0.0007990488745483824, 0.27813697853443126, -0.18757813158630265, -0.047058216190304265, 0.37556226263669407, -0.06707509053839286, -0.11709987359460104, 0.24769251712661405, -0.18202813606264748, -0.08624418106079577, 0.17787812395148317, 0.16742196042799729, 0.08706102038955908, -0.160550383743281, 0.03305278968830614, 0.021005635790061206, 0.21147836079630492, 0.023866257090544837, 0.010851312666835094, 0.17661343258805573, 0.2432469092441765, -0.039462736760139124, 0.20666457352490397, -0.05291717386254194, -0.08427034812683071, -0.271158501167189, -0.1572210996528156, -0.1979653866209529, 0.10291423484556038, -0.08345822152229877, -0.18734399970642038, 0.35838461065114563, 0.09180896000709088, 0.17871643357185266, 0.04352941428607499, 0.1762446076185866, 0.11394119451076469, 0.0516565913990648, 0.012810146070974455, 0.29779096543577244, 0.1148418591553557, 0.11498060054145753, -0.3161704245245677, 0.13938463109661825, 0.02068366609323262] |
710.5265 | Goldman flows on a nonorientable surface | Given an embedded cylinder in an arbitrary surface, we give a gauge theoretic
definition of the associated Goldman flow, which is a circle action on a dense
open subset of the moduli space of equivalence classes of flat
SU(2)-connections over the surface. A cylinder in a compact nonorientable
surface lifts to two cylinders in the orientable double cover, and the
"composite flow" is the composition of one of the associated flows with the
inverse flow of the other. Providing explicit descriptions, we relate the flow
on the moduli space of the nonorientable surface with the composite flow on the
moduli space of the double cover. We prove that the composite flow preserves a
certain Lagrangian submanifold.
| math.DG | given an embedded cylinder in an arbitrary surface we give a gauge theoretic definition of the associated goldman flow which is a circle action on a dense open subset of the moduli space of equivalence classes of flat su2connections over the surface a cylinder in a compact nonorientable surface lifts to two cylinders in the orientable double cover and the composite flow is the composition of one of the associated flows with the inverse flow of the other providing explicit descriptions we relate the flow on the moduli space of the nonorientable surface with the composite flow on the moduli space of the double cover we prove that the composite flow preserves a certain lagrangian submanifold | [['given', 'an', 'embedded', 'cylinder', 'in', 'an', 'arbitrary', 'surface', 'we', 'give', 'a', 'gauge', 'theoretic', 'definition', 'of', 'the', 'associated', 'goldman', 'flow', 'which', 'is', 'a', 'circle', 'action', 'on', 'a', 'dense', 'open', 'subset', 'of', 'the', 'moduli', 'space', 'of', 'equivalence', 'classes', 'of', 'flat', 'su2connections', 'over', 'the', 'surface', 'a', 'cylinder', 'in', 'a', 'compact', 'nonorientable', 'surface', 'lifts', 'to', 'two', 'cylinders', 'in', 'the', 'orientable', 'double', 'cover', 'and', 'the', 'composite', 'flow', 'is', 'the', 'composition', 'of', 'one', 'of', 'the', 'associated', 'flows', 'with', 'the', 'inverse', 'flow', 'of', 'the', 'other', 'providing', 'explicit', 'descriptions', 'we', 'relate', 'the', 'flow', 'on', 'the', 'moduli', 'space', 'of', 'the', 'nonorientable', 'surface', 'with', 'the', 'composite', 'flow', 'on', 'the', 'moduli', 'space', 'of', 'the', 'double', 'cover', 'we', 'prove', 'that', 'the', 'composite', 'flow', 'preserves', 'a', 'certain', 'lagrangian', 'submanifold']] | [-0.21277880657400036, 0.13107917467679162, -0.11061582017433026, 0.046920904963967745, -0.08511223690584302, -0.06977154649312384, -0.02431261226342156, 0.3358217867990506, -0.3029829276292103, -0.23908868368116915, 0.10284546324039874, -0.23295448691150622, -0.13064005514526547, 0.21403150760231476, -0.12687268589848075, 0.014249254291042172, 0.03322541560367521, 0.07825050219604425, -0.12115235029968657, -0.251044757318972, 0.41662878833775374, -0.07276244055688509, 0.2508578420584572, 0.0691807181734977, 0.13203755020292413, 0.018458083386388446, -0.01478465355065619, 0.04257523994175276, -0.18143060626212462, 0.20126018491734204, 0.18890681697441072, 0.03204751009290139, 0.130717854463126, -0.41248563188931037, -0.24893968993245805, 0.11248924518264991, 0.08105019007504372, 0.00040014701843229606, -0.005569184729869574, -0.24426840394253618, 0.0641299544689085, -0.11940978931520006, -0.15902011120262363, -0.004097567297164993, 0.013624962082068467, -0.01633207712739963, -0.16762813887205616, -0.02506924955302785, 0.07141176449809351, 0.08385357806250325, -0.09811641444082789, -0.03672843998506794, -0.09929280032018392, 0.14004450974632696, 0.028737166820190334, 0.0741365034422227, 0.12496876878390924, -0.16031883962067037, -0.04095802399538586, 0.3875347215618039, -0.10094245586740977, -0.2766437757246453, 0.16868934171788139, -0.11327241818773849, -0.10280034583511538, 0.18629130445709774, 0.16813102829398524, 0.160934591103859, -0.03704572841525078, 0.17233097131699243, -0.16177478657457336, 0.08477801704630737, 0.06855575219679881, -0.04409332311278659, 0.20732884828788067, 0.16384290043136168, 0.1548585851861421, 0.17633408687834162, -0.07815812365453016, -0.0899574552704821, -0.41057442016257295, -0.2354924842747378, -0.10414998717044063, 0.10997964269963317, -0.12990904313194512, -0.24978163656537775, 0.40769645589773124, -0.008642553345798033, 0.23836450356235406, 0.0604251282187259, 0.23287652239428255, 0.03776867781235869, 0.0569366843857128, 0.1113606789711349, 0.16840870025896884, 0.1870625095185021, -0.018313588047649005, -0.20714022373732435, -0.054279142272144816, 0.18100097112694818] |
710.5266 | Energy loss and damage production by heavy ions and strange quark matter
in silicon | In this contribution, the peculiarities of the behaviour of strange quark
matter in respect to ordinary ions in silicon are investigated, and a tentative
to identify possible observable effects of degradation is made.
| hep-ph gr-qc | in this contribution the peculiarities of the behaviour of strange quark matter in respect to ordinary ions in silicon are investigated and a tentative to identify possible observable effects of degradation is made | [['in', 'this', 'contribution', 'the', 'peculiarities', 'of', 'the', 'behaviour', 'of', 'strange', 'quark', 'matter', 'in', 'respect', 'to', 'ordinary', 'ions', 'in', 'silicon', 'are', 'investigated', 'and', 'a', 'tentative', 'to', 'identify', 'possible', 'observable', 'effects', 'of', 'degradation', 'is', 'made']] | [-0.1115549010027087, 0.1892015835496061, -0.08969234023243189, 0.08891502542026115, -0.04479045333397208, -0.08340880990197713, 0.052841402858382826, 0.368257231333039, -0.21484117379242723, -0.29372339153302496, -0.002123449643311853, -0.3526731204580177, -0.04399877256064704, 0.10318577863896887, -0.04944786065342752, 0.04192693726244298, -0.01696917022380865, 0.03692117625508796, -0.07654106698993762, -0.2192283206421769, 0.3073434200928067, 0.040089364078911865, 0.20206227469624896, 0.0915232573946317, 0.045992830570674305, -0.11604808728125962, -0.08059244004614426, 0.0058864327429822, -0.06668249210060546, 0.057062678169600214, 0.23731151998402888, -0.0005212624021100276, 0.15848976825222824, -0.4101622062311931, -0.1880302938675, 0.10490782206144297, 0.10826444958872868, 0.11208372786076683, -0.09738884620707143, -0.23255769863273157, 0.0878872170649243, -0.1746577796046481, -0.21743660866085326, -0.04973189002185157, 0.07361697282811458, -0.013909290629354391, -0.22674400664188646, 0.07061348402534019, 0.015883313280276277, 0.006181668885277979, -0.02982546380636367, -0.15491425810438214, -0.03755343355464213, 0.0691655569032512, 0.11498247029852461, -0.010584196358016043, 0.150408194710811, -0.1587438612372022, -0.09671182580518001, 0.44870683483102103, -0.09674324649809436, -0.16616439980200745, 0.18531099808487025, -0.19713436402944903, -0.1659734594974328, 0.15055692489400055, 0.17446626497037482, 0.09120612986611598, -0.19868529600683937, 0.034675948926826204, 0.03442360390203469, 0.17545266164410295, 0.05391276705389222, 0.11841521316179723, 0.25876832753419876, 0.22696655740340552, -0.05283371807838028, 0.16932596461000768, -0.04854839910386187, -0.09589365604651076, -0.29801299575377593, -0.1782359622531768, -0.08307017337982402, 0.021248917377582104, -0.018649930768967322, -0.17577718270265244, 0.38769895176995883, 0.16361178442214927, 0.19762107736967277, -0.11525171346059351, 0.2727503724622004, 0.04108122987214081, 0.02354507508095015, -0.020580298196750158, 0.35460369791271107, 0.20557802300335784, 0.11449527548569621, -0.29298587291586126, 0.10177821526303887, -0.03511109821159731] |
710.5267 | Fermion excitations of a tense brane black hole | By finding the spinor eigenvalues for a single deficit angle (d-2)-sphere, we
derive the radial potential for fermions on a d-dimensional black hole
background that is embedded on a codimension two brane with conical
singularity, where the deficit angle is related to the brane tension. From this
we obtain the quasi-normal mode spectrum for bulk fermions on such a
background. As a byproduct of our method, this also gives a rigorous proof for
integer spin fields on the deficit 2-sphere.
| hep-th gr-qc | by finding the spinor eigenvalues for a single deficit angle d2sphere we derive the radial potential for fermions on a ddimensional black hole background that is embedded on a codimension two brane with conical singularity where the deficit angle is related to the brane tension from this we obtain the quasinormal mode spectrum for bulk fermions on such a background as a byproduct of our method this also gives a rigorous proof for integer spin fields on the deficit 2sphere | [['by', 'finding', 'the', 'spinor', 'eigenvalues', 'for', 'a', 'single', 'deficit', 'angle', 'd2sphere', 'we', 'derive', 'the', 'radial', 'potential', 'for', 'fermions', 'on', 'a', 'ddimensional', 'black', 'hole', 'background', 'that', 'is', 'embedded', 'on', 'a', 'codimension', 'two', 'brane', 'with', 'conical', 'singularity', 'where', 'the', 'deficit', 'angle', 'is', 'related', 'to', 'the', 'brane', 'tension', 'from', 'this', 'we', 'obtain', 'the', 'quasinormal', 'mode', 'spectrum', 'for', 'bulk', 'fermions', 'on', 'such', 'a', 'background', 'as', 'a', 'byproduct', 'of', 'our', 'method', 'this', 'also', 'gives', 'a', 'rigorous', 'proof', 'for', 'integer', 'spin', 'fields', 'on', 'the', 'deficit', '2sphere']] | [-0.16315348856151105, 0.10857178868027403, -0.0879599746549502, 0.07622505032923073, -0.09931617050315253, -0.13743425168795512, 0.03665405860519968, 0.2979721023642924, -0.15693280896812212, -0.24958454177249223, 0.07799828455026728, -0.3172195736085996, -0.12956366680155043, 0.193632786264061, -0.04975580311729573, 0.014473738268134185, 0.010008352165459655, 0.05510796380112879, -0.07062951373227407, -0.17601216877810658, 0.40891823056153953, 0.020185282663442196, 0.2445697960065445, 0.08808662592200563, 0.09088523046229965, 0.010532957396935671, 0.05939471602323465, 0.047721303984872065, -0.15224390296834828, 0.08681942872353829, 0.18113126673270016, 0.05160903363721445, 0.14178813937178347, -0.3825947718694806, -0.22084580403752624, 0.0910708412528038, 0.17277272830251605, 0.1480897275498137, -0.11634148393059149, -0.264809979731217, 0.03372447908041067, -0.12087408435181715, -0.2091694146685768, -0.02806568591622636, 0.041701882338384164, -0.12251519300043583, -0.24616168275242672, 0.11771690807909181, 0.034871297523204704, 0.03141107781557366, -0.06578038726001978, -0.10248079291195608, -0.04486160635424312, 0.05577166210860014, 0.08629443107056431, 0.08253711350553203, 0.11865212511474965, -0.10244252844131552, -0.11921947030932642, 0.33724619396962224, -0.1026201011845842, -0.2978828207473271, 0.131704355252441, -0.17135418680263684, -0.10271061070379801, 0.0931492543022614, 0.14727537406142802, 0.17413499671965837, -0.08251765752211213, 0.1278007055458147, -0.07478243994992226, 0.15655583227053285, 0.11902761881938204, 0.02985990943852812, 0.34558727050898597, 0.10361350157763809, 0.11757341017946601, 0.1744964425393846, -0.10269612344563939, -0.055694581742864104, -0.3655408987775445, -0.19625142148870509, -0.19389485506799248, 0.15692111620446667, -0.1486563285056036, -0.22236652495339512, 0.39770111311227085, 0.045596699172165245, 0.20637348155723884, 0.07946014313492925, 0.2791613701032475, 0.08893647685763426, 0.03252815543091856, 0.048541919712442906, 0.28404816768015734, 0.11291925241530407, 0.08206865941174328, -0.23996973221364898, -0.09017789843783248, 0.12839636707212776] |
710.5268 | How to evaluate the calibration of a disease risk prediction tool | To evaluate the calibration of a disease risk prediction tool, the quantity
$E/O$, i.e., the ratio of the expected number of events to the observed number
of events, is generally computed. However, because of censoring, or more
precisely because of individuals who drop out before the termination of the
study, this quantity is generally unavailable for the complete population study
and an alternative estimate has to be computed. In this paper, we present and
compare four methods to do this. We show that two of the most commonly used
methods generally lead to biased estimates. Our arguments are first based on
some theoretic considerations. Then, we perform a simulation study to highlight
the magnitude of the previously mentioned biases. As a concluding example, we
evaluate the calibration of an existing predictive model for breast cancer on
the E3N-EPIC cohort.
| stat.AP | to evaluate the calibration of a disease risk prediction tool the quantity eo ie the ratio of the expected number of events to the observed number of events is generally computed however because of censoring or more precisely because of individuals who drop out before the termination of the study this quantity is generally unavailable for the complete population study and an alternative estimate has to be computed in this paper we present and compare four methods to do this we show that two of the most commonly used methods generally lead to biased estimates our arguments are first based on some theoretic considerations then we perform a simulation study to highlight the magnitude of the previously mentioned biases as a concluding example we evaluate the calibration of an existing predictive model for breast cancer on the e3nepic cohort | [['to', 'evaluate', 'the', 'calibration', 'of', 'a', 'disease', 'risk', 'prediction', 'tool', 'the', 'quantity', 'eo', 'ie', 'the', 'ratio', 'of', 'the', 'expected', 'number', 'of', 'events', 'to', 'the', 'observed', 'number', 'of', 'events', 'is', 'generally', 'computed', 'however', 'because', 'of', 'censoring', 'or', 'more', 'precisely', 'because', 'of', 'individuals', 'who', 'drop', 'out', 'before', 'the', 'termination', 'of', 'the', 'study', 'this', 'quantity', 'is', 'generally', 'unavailable', 'for', 'the', 'complete', 'population', 'study', 'and', 'an', 'alternative', 'estimate', 'has', 'to', 'be', 'computed', 'in', 'this', 'paper', 'we', 'present', 'and', 'compare', 'four', 'methods', 'to', 'do', 'this', 'we', 'show', 'that', 'two', 'of', 'the', 'most', 'commonly', 'used', 'methods', 'generally', 'lead', 'to', 'biased', 'estimates', 'our', 'arguments', 'are', 'first', 'based', 'on', 'some', 'theoretic', 'considerations', 'then', 'we', 'perform', 'a', 'simulation', 'study', 'to', 'highlight', 'the', 'magnitude', 'of', 'the', 'previously', 'mentioned', 'biases', 'as', 'a', 'concluding', 'example', 'we', 'evaluate', 'the', 'calibration', 'of', 'an', 'existing', 'predictive', 'model', 'for', 'breast', 'cancer', 'on', 'the', 'e3nepic', 'cohort']] | [-0.03951795168298607, 0.0342478804232087, -0.09215059635681573, 0.12921268132808822, -0.06012255217259129, -0.09875866173145671, 0.08244611827261827, 0.3681305789462952, -0.19707284948495013, -0.3219212391818671, 0.13971905125799822, -0.28297496623143664, -0.16082000945723426, 0.23219388881546404, -0.12043384779025328, 0.018803348299959485, 0.06704840071472352, 0.06251436488810873, -0.02874775413268556, -0.2812950915211569, 0.31085088796596433, 0.06891603813088243, 0.2858709358218787, 0.031042082434304168, 0.05662073098073302, -0.022527473037252606, -0.0989453042924836, 0.04261117234515647, -0.14946636636059207, 0.13469107623171547, 0.2567547390480404, 0.1547661137132757, 0.30601278973230417, -0.41806391520641634, -0.20366942111159797, 0.14524415199496393, 0.14596671085008353, 0.11976948643933756, -0.008637451101621728, -0.22801473431721114, 0.0955688192313402, -0.176331280865639, -0.10763318339308751, -0.06098545120482374, -0.004651027137710565, -0.00017554091839659688, -0.2898338044271467, 0.06985317929175452, 0.012898740331655827, 0.07714300562182198, -0.0398161330431585, -0.13720982510974442, 0.019076913097481905, 0.14701272452594308, 0.10687618127912688, 0.0043829821431469445, 0.13836766384622973, -0.12462945798809717, -0.13282883710200913, 0.3628287294515125, -0.011770166881868372, -0.18342721099211107, 0.19604124128481076, -0.11703463229418233, -0.13828098861689586, 0.08110490855862103, 0.18490684292096968, 0.13835897920923174, -0.18450540958471812, -0.04118300392376799, -0.013944139314369986, 0.16884758265729508, 0.00852342911294081, -0.005489168813506114, 0.14477340083027704, 0.1818065659912384, 0.04380733526372553, 0.11667802803255482, -0.11936244215863501, -0.057393958481649555, -0.27709958589284855, -0.1641196348312972, -0.15071865421487018, 0.0296752248144965, -0.054027902684301014, -0.1956795902274873, 0.39003768081412366, 0.2344102146697865, 0.19886167342032213, 0.06593820181223091, 0.3181013258147067, 0.10350782764009267, 0.04561110919483168, 0.013930109592721514, 0.25847061885882716, 0.06548775644720688, 0.03566482792392481, -0.20602035215057002, 0.13384988982453133, 0.020490832564394004] |
710.5269 | Cyclic Universes from General Collisionless Braneworld Models | We investigate the full 5D dynamics of general braneworld models. Without
making any further assumptions we show that cyclic behavior can arise naturally
in a fraction of physically accepted solutions. The model does not require
brane collisions, which in the stationary case remain fixed, and cyclicity
takes place on the branes. We indicate that the cosmological constants play the
central role for the realization of cyclic solutions and we show that its
extremely small value on the observable universe makes the period of the cycles
and the maximum scale factor astronomically large.
| hep-th astro-ph | we investigate the full 5d dynamics of general braneworld models without making any further assumptions we show that cyclic behavior can arise naturally in a fraction of physically accepted solutions the model does not require brane collisions which in the stationary case remain fixed and cyclicity takes place on the branes we indicate that the cosmological constants play the central role for the realization of cyclic solutions and we show that its extremely small value on the observable universe makes the period of the cycles and the maximum scale factor astronomically large | [['we', 'investigate', 'the', 'full', '5d', 'dynamics', 'of', 'general', 'braneworld', 'models', 'without', 'making', 'any', 'further', 'assumptions', 'we', 'show', 'that', 'cyclic', 'behavior', 'can', 'arise', 'naturally', 'in', 'a', 'fraction', 'of', 'physically', 'accepted', 'solutions', 'the', 'model', 'does', 'not', 'require', 'brane', 'collisions', 'which', 'in', 'the', 'stationary', 'case', 'remain', 'fixed', 'and', 'cyclicity', 'takes', 'place', 'on', 'the', 'branes', 'we', 'indicate', 'that', 'the', 'cosmological', 'constants', 'play', 'the', 'central', 'role', 'for', 'the', 'realization', 'of', 'cyclic', 'solutions', 'and', 'we', 'show', 'that', 'its', 'extremely', 'small', 'value', 'on', 'the', 'observable', 'universe', 'makes', 'the', 'period', 'of', 'the', 'cycles', 'and', 'the', 'maximum', 'scale', 'factor', 'astronomically', 'large']] | [-0.1875760124935566, 0.13455325230429677, -0.08233174437697491, 0.09675752361932688, -0.07844354881593102, -0.09533079804943713, 0.02609080288802152, 0.3289994199218674, -0.23284645835140153, -0.2684271460824201, 0.11727334685881784, -0.21614415702187334, -0.1231394790355926, 0.17578415983386905, -0.05047241698586098, -0.010862795575952117, 0.07710214486122942, 0.04235072631854564, -0.03662219117446195, -0.23167704064247158, 0.3408562103185155, 0.06410149515242032, 0.2553713468951173, 0.05807714785813638, 0.08854768749164499, -0.01374017034718038, 0.005315632371765905, 0.029889549088218937, -0.15908384062822734, 0.0491615890505668, 0.2039241785727743, 0.11748699260794598, 0.20893146818422753, -0.467206547036767, -0.22636428790207466, 0.17165382033588528, 0.1359846043241028, 0.18085095373807353, -0.037910337906594024, -0.19204529239441795, 0.09857605907904066, -0.14481739438918378, -0.14892413223202786, -0.06432942443643697, 0.031246848951053362, -0.030357131261236802, -0.26505974059134885, 0.07875706394122023, 0.07965481483235794, 0.00917242980643135, -0.09496978854725097, -0.08403330304756072, -0.01717253486909296, 0.11424859378831057, 0.09757858324345485, -0.03579258738571535, 0.12530379046422793, -0.15148988603070154, -0.07609947779691657, 0.4233088598627111, -0.0946194291236284, -0.1689642013446681, 0.17332287407075259, -0.18073767189280657, -0.16226352976746453, 0.08665757973769518, 0.13162529721613164, 0.15790920749650864, -0.07810664702328327, 0.15193704592441107, -0.03119911488307559, 0.2121908000478035, 0.06761561096240969, 0.04991914791816785, 0.26869881258386635, 0.1283760426576128, 0.05222271277022589, 0.10412334973174754, -0.04840691163427318, -0.15278134836673574, -0.36434269560824917, -0.12593237938278395, -0.12093743480458531, 0.10855331028727486, -0.17470935979081728, -0.1819316568662939, 0.35500476950698573, 0.15570964577162397, 0.22847987161240663, 0.0355412833982289, 0.1810510079730707, 0.09403717619463113, 0.08928388880983971, 0.0873801083324234, 0.2855650357719835, 0.048340835213742175, 0.07785734125164985, -0.23429272410399077, 0.07427043957084054, 0.06179377493327078] |
710.527 | Markov Properties of Electrical Discharge Current Fluctuations in Plasma | Using the Markovian method, we study the stochastic nature of electrical
discharge current fluctuations in the Helium plasma. Sinusoidal trends are
extracted from the data set by the Fourier-Detrended Fluctuation analysis and
consequently cleaned data is retrieved. We determine the Markov time scale of
the detrended data set by using likelihood analysis. We also estimate the
Kramers-Moyal's coefficients of the discharge current fluctuations and derive
the corresponding Fokker-Planck equation. In addition, the obtained Langevin
equation enables us to reconstruct discharge time series with similar
statistical properties compared with the observed in the experiment. We also
provide an exact decomposition of temporal correlation function by using
Kramers-Moyal's coefficients. We show that for the stationary time series, the
two point temporal correlation function has an exponential decaying behavior
with a characteristic correlation time scale. Our results confirm that, there
is no definite relation between correlation and Markov time scales. However
both of them behave as monotonic increasing function of discharge current
intensity. Finally to complete our analysis, the multifractal behavior of
reconstructed time series using its Keramers-Moyal's coefficients and original
data set are investigated. Extended self similarity analysis demonstrates that
fluctuations in our experimental setup deviates from Kolmogorov (K41) theory
for fully developed turbulence regime.
| cond-mat.stat-mech math.ST stat.TH | using the markovian method we study the stochastic nature of electrical discharge current fluctuations in the helium plasma sinusoidal trends are extracted from the data set by the fourierdetrended fluctuation analysis and consequently cleaned data is retrieved we determine the markov time scale of the detrended data set by using likelihood analysis we also estimate the kramersmoyals coefficients of the discharge current fluctuations and derive the corresponding fokkerplanck equation in addition the obtained langevin equation enables us to reconstruct discharge time series with similar statistical properties compared with the observed in the experiment we also provide an exact decomposition of temporal correlation function by using kramersmoyals coefficients we show that for the stationary time series the two point temporal correlation function has an exponential decaying behavior with a characteristic correlation time scale our results confirm that there is no definite relation between correlation and markov time scales however both of them behave as monotonic increasing function of discharge current intensity finally to complete our analysis the multifractal behavior of reconstructed time series using its keramersmoyals coefficients and original data set are investigated extended self similarity analysis demonstrates that fluctuations in our experimental setup deviates from kolmogorov k41 theory for fully developed turbulence regime | [['using', 'the', 'markovian', 'method', 'we', 'study', 'the', 'stochastic', 'nature', 'of', 'electrical', 'discharge', 'current', 'fluctuations', 'in', 'the', 'helium', 'plasma', 'sinusoidal', 'trends', 'are', 'extracted', 'from', 'the', 'data', 'set', 'by', 'the', 'fourierdetrended', 'fluctuation', 'analysis', 'and', 'consequently', 'cleaned', 'data', 'is', 'retrieved', 'we', 'determine', 'the', 'markov', 'time', 'scale', 'of', 'the', 'detrended', 'data', 'set', 'by', 'using', 'likelihood', 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710.5271 | Highly He-Rich Matter Dredged Up by Extra Mixing through Stellar
Encounters in Globular Clusters | The unveiled main-sequence splitting in omega Centauri as well as NGC 2808
suggests that matter highly-enriched in He (in terms of its mass fraction
Y~0.4) was produced and made the color of some main-sequence stars bluer in
these globular clusters (GCs). The potential production site for the He-rich
matter is generally considered to be massive AGB stars that experience the
second dredge-up. However, it is found that massive AGB stars provide the
matter with Y~0.35 at most, while the observed blue-shift requires the presence
of Y~0.4 matter. Here, we show that extra mixing, which operates in the red
giant phase of stars less massive than ~2Msun, could be a mechanism that
enhances He content in their envelopes up to Y~0.4. The extra mixing is
supposed to be induced by red giant encounters with other stars in a
collisional system like GCs. The Y~0.4 matter released in the AGB phase has
alternative fates to (i) escape from a GC or (ii) be captured by kinematically
cool stars through encounters. The AGB ejecta in omega Cen, which follows the
latter case, can supply sufficient He to cause the observed blue-shift.
Simultaneously, this scheme generates the extreme horizontal branch, as
observed in omega Cen in response to the higher mass loss rates, which is also
caused by stellar encounters.
| astro-ph | the unveiled mainsequence splitting in omega centauri as well as ngc 2808 suggests that matter highlyenriched in he in terms of its mass fraction y04 was produced and made the color of some mainsequence stars bluer in these globular clusters gcs the potential production site for the herich matter is generally considered to be massive agb stars that experience the second dredgeup however it is found that massive agb stars provide the matter with y035 at most while the observed blueshift requires the presence of y04 matter here we show that extra mixing which operates in the red giant phase of stars less massive than 2msun could be a mechanism that enhances he content in their envelopes up to y04 the extra mixing is supposed to be induced by red giant encounters with other stars in a collisional system like gcs the y04 matter released in the agb phase has alternative fates to i escape from a gc or ii be captured by kinematically cool stars through encounters the agb ejecta in omega cen which follows the latter case can supply sufficient he to cause the observed blueshift simultaneously this scheme generates the extreme horizontal branch as observed in omega cen in response to the higher mass loss rates which is also caused by stellar encounters | [['the', 'unveiled', 'mainsequence', 'splitting', 'in', 'omega', 'centauri', 'as', 'well', 'as', 'ngc', '2808', 'suggests', 'that', 'matter', 'highlyenriched', 'in', 'he', 'in', 'terms', 'of', 'its', 'mass', 'fraction', 'y04', 'was', 'produced', 'and', 'made', 'the', 'color', 'of', 'some', 'mainsequence', 'stars', 'bluer', 'in', 'these', 'globular', 'clusters', 'gcs', 'the', 'potential', 'production', 'site', 'for', 'the', 'herich', 'matter', 'is', 'generally', 'considered', 'to', 'be', 'massive', 'agb', 'stars', 'that', 'experience', 'the', 'second', 'dredgeup', 'however', 'it', 'is', 'found', 'that', 'massive', 'agb', 'stars', 'provide', 'the', 'matter', 'with', 'y035', 'at', 'most', 'while', 'the', 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710.5272 | Truncated decompositions and filtering methods with
Reflective/Anti-Reflective boundary conditions: a comparison | The paper analyzes and compares some spectral filtering methods as truncated
singular/eigen-value decompositions and Tikhonov/Re-blurring regularizations in
the case of the recently proposed Reflective [M.K. Ng, R.H. Chan, and W.C.
Tang, A fast algorithm for deblurring models with Neumann boundary conditions,
SIAM J. Sci. Comput., 21 (1999), no. 3, pp.851-866] and Anti-Reflective [S.
Serra Capizzano, A note on anti-reflective boundary conditions and fast
deblurring models, SIAM J. Sci. Comput., 25-3 (2003), pp. 1307-1325] boundary
conditions. We give numerical evidence to the fact that spectral decompositions
(SDs) provide a good image restoration quality and this is true in particular
for the Anti-Reflective SD, despite the loss of orthogonality in the associated
transform. The related computational cost is comparable with previously known
spectral decompositions, and results substantially lower than the singular
value decomposition. The model extension to the cross-channel blurring
phenomenon of color images is also considered and the related spectral
filtering methods are suitably adapted.
| math.NA | the paper analyzes and compares some spectral filtering methods as truncated singulareigenvalue decompositions and tikhonovreblurring regularizations in the case of the recently proposed reflective mk ng rh chan and wc tang a fast algorithm for deblurring models with neumann boundary conditions siam j sci comput 21 1999 no 3 pp851866 and antireflective s serra capizzano a note on antireflective boundary conditions and fast deblurring models siam j sci comput 253 2003 pp 13071325 boundary conditions we give numerical evidence to the fact that spectral decompositions sds provide a good image restoration quality and this is true in particular for the antireflective sd despite the loss of orthogonality in the associated transform the related computational cost is comparable with previously known spectral decompositions and results substantially lower than the singular value decomposition the model extension to the crosschannel blurring phenomenon of color images is also considered and the related spectral filtering methods are suitably adapted | [['the', 'paper', 'analyzes', 'and', 'compares', 'some', 'spectral', 'filtering', 'methods', 'as', 'truncated', 'singulareigenvalue', 'decompositions', 'and', 'tikhonovreblurring', 'regularizations', 'in', 'the', 'case', 'of', 'the', 'recently', 'proposed', 'reflective', 'mk', 'ng', 'rh', 'chan', 'and', 'wc', 'tang', 'a', 'fast', 'algorithm', 'for', 'deblurring', 'models', 'with', 'neumann', 'boundary', 'conditions', 'siam', 'j', 'sci', 'comput', '21', '1999', 'no', '3', 'pp851866', 'and', 'antireflective', 's', 'serra', 'capizzano', 'a', 'note', 'on', 'antireflective', 'boundary', 'conditions', 'and', 'fast', 'deblurring', 'models', 'siam', 'j', 'sci', 'comput', '253', '2003', 'pp', '13071325', 'boundary', 'conditions', 'we', 'give', 'numerical', 'evidence', 'to', 'the', 'fact', 'that', 'spectral', 'decompositions', 'sds', 'provide', 'a', 'good', 'image', 'restoration', 'quality', 'and', 'this', 'is', 'true', 'in', 'particular', 'for', 'the', 'antireflective', 'sd', 'despite', 'the', 'loss', 'of', 'orthogonality', 'in', 'the', 'associated', 'transform', 'the', 'related', 'computational', 'cost', 'is', 'comparable', 'with', 'previously', 'known', 'spectral', 'decompositions', 'and', 'results', 'substantially', 'lower', 'than', 'the', 'singular', 'value', 'decomposition', 'the', 'model', 'extension', 'to', 'the', 'crosschannel', 'blurring', 'phenomenon', 'of', 'color', 'images', 'is', 'also', 'considered', 'and', 'the', 'related', 'spectral', 'filtering', 'methods', 'are', 'suitably', 'adapted']] | [-0.029311886926075358, 0.013340197000402532, -0.08090688945294276, 0.05925403467392011, -0.057060039441270013, -0.14755974222762172, -0.0018762146214948304, 0.4037326681052628, -0.22019825755906036, -0.32656916038401973, 0.1578025883290254, -0.24818507996044004, -0.17782278636457935, 0.15429451535830913, -0.17144998632865213, 0.07105373601185395, 0.09782910785944851, -0.05956854682158672, -0.11371100522716836, -0.24793962388761942, 0.24454850881929266, 0.08057105009410462, 0.2986419209573674, 0.05547238890731695, 0.03636977527503099, 0.01240474526026605, -0.09012416777069737, -0.0115967064184893, -0.14860928917934393, 0.10894237916554081, 0.2404071444342473, 0.08023938543206993, 0.24167639353693832, -0.35634725337735557, -0.19982140920993766, 0.08134081906517154, 0.08589928915986679, 0.032390765867652306, -0.018835730817100195, -0.2808426310723935, 0.08252855827844383, -0.11620794363076105, -0.08308328132476382, -0.050911342743909196, 0.04584742001267213, -0.014999677477116953, -0.3412789806361066, 0.13672527622555744, 0.13496421890070776, 0.06801356375217438, -0.0768143957208892, -0.20630323701544395, -0.015444190647678087, 0.013879924356287357, -0.018110365949839904, 0.04125737714512436, 0.03606236891683516, -0.11806554655894487, -0.12070699047294114, 0.34825045428701346, -0.033829028896019395, -0.1888745535268009, 0.2646327155123421, -0.049467649204568975, -0.10593618437625943, 0.14436501750860037, 0.12444349510857723, 0.12071374701273521, -0.11336662260903008, 0.1342005121409143, -0.06859231713749843, 0.13191969020154654, 0.16121656693996325, -0.0005799707231555609, 0.0555251667919825, 0.09670614978242291, 0.08496531227841073, 0.1121848320929121, -0.11684317331512666, -0.02943031850502195, -0.2546309411819499, -0.14981643875221715, -0.1883087313965263, 0.015024182408573044, -0.07972684946933124, -0.14699592395691863, 0.38531575468212564, 0.15454807501261267, 0.17828006409858696, 0.015920179971062497, 0.25573623181014454, 0.12754823538340354, 0.007675025399599299, 0.1344761945426014, 0.18995696104123044, 0.19397133506909514, 0.1448867645945975, -0.22650901958715144, -0.03401765065742719, 0.14557043818761625] |
710.5273 | The environment of the fast rotating star Achernar - High-resolution
thermal infrared imaging with VISIR in BURST mode | Context: The geometry of the circumstellar envelopes (CSE) surrounding Be
stars is still uncertain, although it is often assumed that they are formed by
a disk around the stellar equator and a hot polar wind. Achernar (Alpha Eri) is
the nearest Be star, and we recently detected a CSE using near-IR
interferometry. Aims: Our initial goal was to constrain the geometry and flux
contribution of the CSE of Achernar at distances of a few tens of AU from the
star, in the thermal IR domain to complement our near-IR interferometric
observations. Methods: We obtained diffraction-limited images of Achernar in
the thermal infrared using VISIR at the VLT. In order to freeze the turbulence,
we used the BURST mode of this instrument. Results: The images obtained in the
PAH1 band show a point-like source located 0.280" north-west of Achernar
(projected linear separation of 12.3 AU). Its emission is 1.8 % of the flux of
Achernar in this band, but is not detected in the PAH2, SiC and NeII bands. We
also provide new thermal IR photometry of Achernar in four bands. Conclusions:
Being aligned with the expected azimuth of the equatorial plane of Achernar,
the detected source could be a main sequence stellar companion. In this case,
it apparent brightness would correspond to an A7V spectral type.
| astro-ph | context the geometry of the circumstellar envelopes cse surrounding be stars is still uncertain although it is often assumed that they are formed by a disk around the stellar equator and a hot polar wind achernar alpha eri is the nearest be star and we recently detected a cse using nearir interferometry aims our initial goal was to constrain the geometry and flux contribution of the cse of achernar at distances of a few tens of au from the star in the thermal ir domain to complement our nearir interferometric observations methods we obtained diffractionlimited images of achernar in the thermal infrared using visir at the vlt in order to freeze the turbulence we used the burst mode of this instrument results the images obtained in the pah1 band show a pointlike source located 0280 northwest of achernar projected linear separation of 123 au its emission is 18 of the flux of achernar in this band but is not detected in the pah2 sic and neii bands we also provide new thermal ir photometry of achernar in four bands conclusions being aligned with the expected azimuth of the equatorial plane of achernar the detected source could be a main sequence stellar companion in this case it apparent brightness would correspond to an a7v spectral type | [['context', 'the', 'geometry', 'of', 'the', 'circumstellar', 'envelopes', 'cse', 'surrounding', 'be', 'stars', 'is', 'still', 'uncertain', 'although', 'it', 'is', 'often', 'assumed', 'that', 'they', 'are', 'formed', 'by', 'a', 'disk', 'around', 'the', 'stellar', 'equator', 'and', 'a', 'hot', 'polar', 'wind', 'achernar', 'alpha', 'eri', 'is', 'the', 'nearest', 'be', 'star', 'and', 'we', 'recently', 'detected', 'a', 'cse', 'using', 'nearir', 'interferometry', 'aims', 'our', 'initial', 'goal', 'was', 'to', 'constrain', 'the', 'geometry', 'and', 'flux', 'contribution', 'of', 'the', 'cse', 'of', 'achernar', 'at', 'distances', 'of', 'a', 'few', 'tens', 'of', 'au', 'from', 'the', 'star', 'in', 'the', 'thermal', 'ir', 'domain', 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'be', 'a', 'main', 'sequence', 'stellar', 'companion', 'in', 'this', 'case', 'it', 'apparent', 'brightness', 'would', 'correspond', 'to', 'an', 'a7v', 'spectral', 'type']] | [-0.07244373553880777, 0.07313678363751823, -0.08406391766827519, 0.05324165017026363, -0.09736335721458787, -0.06671101644539457, 0.015802082292861785, 0.455766669326575, -0.21643691365694123, -0.3153888956626233, 0.11450780813677985, -0.2817106838033439, -0.04561492833787593, 0.15497552273059526, -0.07372375797680536, -0.0388467439369268, 0.07526307034705522, -0.06844474443886756, -0.050263980074968434, -0.2138487679109186, 0.27018570556918975, 0.10609402773884412, 0.1351580483671365, 0.014083238897375136, 0.027766342168221266, -0.10473914378956145, -0.07277607635587288, -0.024733708875480098, -0.10340651328024421, 0.07494888396168815, 0.25054631481887163, 0.09316646191944307, 0.176297067263638, -0.3504815217821258, -0.20028575593942916, 0.025360332869393664, 0.17610154098724493, 0.030161879430133327, 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710.5274 | Analysis of the vertex $D^*D^* \rho$ with the light-cone QCD sum rules | In this article, we analyze the vertex $D^*D^*\rho$ with the light-cone QCD
sum rules. The strong coupling constant $g_{D^*D^*\rho}$ is an important
parameter in evaluating the charmonium absorption cross sections in searching
for the quark-gluon plasmas. Our numerical value for the $g_{D^*D^*\rho}$ is
consistent with the prediction of the effective SU(4) symmetry and vector meson
dominance theory.
| hep-ph | in this article we analyze the vertex ddrho with the lightcone qcd sum rules the strong coupling constant g_ddrho is an important parameter in evaluating the charmonium absorption cross sections in searching for the quarkgluon plasmas our numerical value for the g_ddrho is consistent with the prediction of the effective su4 symmetry and vector meson dominance theory | [['in', 'this', 'article', 'we', 'analyze', 'the', 'vertex', 'ddrho', 'with', 'the', 'lightcone', 'qcd', 'sum', 'rules', 'the', 'strong', 'coupling', 'constant', 'g_ddrho', 'is', 'an', 'important', 'parameter', 'in', 'evaluating', 'the', 'charmonium', 'absorption', 'cross', 'sections', 'in', 'searching', 'for', 'the', 'quarkgluon', 'plasmas', 'our', 'numerical', 'value', 'for', 'the', 'g_ddrho', 'is', 'consistent', 'with', 'the', 'prediction', 'of', 'the', 'effective', 'su4', 'symmetry', 'and', 'vector', 'meson', 'dominance', 'theory']] | [-0.11170489168725908, 0.17898136524044359, -0.06180400510572574, 0.09890923849941993, -0.064215473102575, -0.07788398885591463, 0.048936569155193864, 0.35906743302264, -0.1669601690701463, -0.16802609398622403, -0.007892258581705391, -0.3146223376759074, -0.06467003628706813, 0.05461393801326102, 0.09301411181010984, 0.08888274629346349, 0.03776924034411257, 0.06999138822271066, -0.053357566336159255, -0.20845010173507034, 0.3471932112239301, 0.055509187890724704, 0.27411022938110613, 0.20315657668662343, 0.042301600909029895, 0.08233818992633711, -0.04722504875284027, -0.012786006267097864, -0.12568383558483964, 0.09682436287403107, 0.2622618455439806, 0.0599793747744777, 0.1621330614371056, -0.33647222232750873, -0.16512855448844757, 0.0918197839436206, 0.1405422233045101, 0.12904850995506753, -0.017710432003844867, -0.27072156064889646, 0.0694423367057673, -0.1903119259132919, -0.13858633601868695, -0.11014616186307236, 0.016122888011688537, -0.06117757030508735, -0.3426981258290735, 0.07756493225090459, -0.048959854279052126, 0.03720118808136745, -0.06787464886649766, -0.198787957446819, -0.007433787712149999, 0.03691623041575605, 0.127955948993225, 0.10410629880021918, 0.10500704973978414, -0.24611677350899713, -0.1632749853909693, 0.4342638566412709, -0.09292406896975908, -0.16217474165287885, 0.09172205588018352, -0.12857974384996024, -0.1340996797746894, 0.11379079011438245, 0.1559112930839712, 0.12416848159310492, -0.1448412801308388, 0.12431377035205846, -0.07519466771998189, 0.11709643087603828, 0.03548726732419296, 0.04313432277942246, 0.19594293067401106, 0.19041238562627272, -0.01812579656781798, 0.06275777918371288, -0.034686579813503406, -0.1415635312314738, -0.4264491472731937, -0.10613308504901149, -0.10144693108952858, 0.056561762661757796, -0.16383047175821214, -0.1408871578306637, 0.39720136390321636, 0.12279457901181146, 0.2289386947644578, 0.018835726782510227, 0.31975729534910485, 0.18587819974742492, 0.049381190830503, 0.07588672368702563, 0.33248591618189083, 0.19999017742547123, 0.08605827804435236, -0.3147995323450728, -0.0003630302084440535, 0.12281564202328975] |
710.5275 | Is There a Relationship between the Density of Primordial Black Holes in
a Galaxy and the Rate of Cosmological Gamma-Ray Bursts? | The rate of accretion of matter from a solar-type star onto a primordial
black hole (PBH) that passes through it is calculated. The probability that a
PBH is captured into an orbit around a star in a galaxy is found. The mean
lifetime of the PBH in such an orbit and the rate of orbital captures of PBHs
in the galaxy are calculated. It is shown that this rate does not depend on the
mass of the PBH. This mechanism cannot make an appreciable contribution to the
rate of observed gamma-ray bursts. The density of PBHs in the galaxy can reach
a critical value - the density of the mass of dark matter in the galaxy.
| astro-ph | the rate of accretion of matter from a solartype star onto a primordial black hole pbh that passes through it is calculated the probability that a pbh is captured into an orbit around a star in a galaxy is found the mean lifetime of the pbh in such an orbit and the rate of orbital captures of pbhs in the galaxy are calculated it is shown that this rate does not depend on the mass of the pbh this mechanism cannot make an appreciable contribution to the rate of observed gammaray bursts the density of pbhs in the galaxy can reach a critical value the density of the mass of dark matter in the galaxy | [['the', 'rate', 'of', 'accretion', 'of', 'matter', 'from', 'a', 'solartype', 'star', 'onto', 'a', 'primordial', 'black', 'hole', 'pbh', 'that', 'passes', 'through', 'it', 'is', 'calculated', 'the', 'probability', 'that', 'a', 'pbh', 'is', 'captured', 'into', 'an', 'orbit', 'around', 'a', 'star', 'in', 'a', 'galaxy', 'is', 'found', 'the', 'mean', 'lifetime', 'of', 'the', 'pbh', 'in', 'such', 'an', 'orbit', 'and', 'the', 'rate', 'of', 'orbital', 'captures', 'of', 'pbhs', 'in', 'the', 'galaxy', 'are', 'calculated', 'it', 'is', 'shown', 'that', 'this', 'rate', 'does', 'not', 'depend', 'on', 'the', 'mass', 'of', 'the', 'pbh', 'this', 'mechanism', 'can', 'not', 'make', 'an', 'appreciable', 'contribution', 'to', 'the', 'rate', 'of', 'observed', 'gammaray', 'bursts', 'the', 'density', 'of', 'pbhs', 'in', 'the', 'galaxy', 'can', 'reach', 'a', 'critical', 'value', 'the', 'density', 'of', 'the', 'mass', 'of', 'dark', 'matter', 'in', 'the', 'galaxy']] | [-0.14458990400428243, 0.15000413462320436, -0.11913569519649549, 0.13202457945063262, -0.054455459535378836, 0.020087538371344322, 0.034346413549742306, 0.3242372735403478, -0.1721286448200458, -0.307861357148544, 0.025243988789513644, -0.2711863709164077, -0.0225206297814268, 0.24978832561715408, -0.03830173765389441, 0.0025712926711501747, 0.058728462767562474, 0.10016088096970885, -0.06271869343392358, -0.27941718952055894, 0.3195652859586548, 0.13006379872014553, 0.14984223975575175, 0.044966564328080556, 0.07796506312322514, -0.07865242912145011, -0.013360667424798333, -0.05200182275188252, -0.18732220652117546, 0.016108796337683653, 0.1961994507703288, 0.18346432140016736, 0.210403748581202, -0.38364742180846373, -0.24227150159502595, 0.10835417341601489, 0.18315882033845088, 0.08772205076268713, -0.10806206740330551, -0.2526503817965116, 0.0960563895240394, -0.26292361841529027, -0.09925434077640288, 0.07645835400687466, 0.0581399030533844, 0.025573651177872872, -0.2569537131388768, 0.14640903438377226, 0.07502527868953245, -0.10615878006250694, -0.10798830366773723, -0.01579652971523846, -0.12034816799107297, 0.04790615409227281, 0.12051821915419764, 0.05977903709522095, 0.23745084171793585, -0.1589484164242408, -0.010550204519953194, 0.42891511982627983, -0.1014991137801252, -0.05220439086732422, 0.13113260197710117, -0.23743549640418898, -0.1403859657925907, 0.15011643263479246, 0.17228702175559413, 0.15630255414751068, -0.1533271654123633, 0.07136611038254943, -0.02662450904106914, 0.26358273138637367, 0.047432654388730636, 0.02528830422218969, 0.41871455266814805, 0.15193238602308878, 0.08630273671086139, 0.03810113063082099, -0.17232444078525014, -0.05499268647540232, -0.23579231957937108, -0.13922019142272143, -0.23518745043186534, 0.1087365096401331, -0.13203491726957947, -0.14828600456355068, 0.3818983771228071, 0.09989429410579133, 0.26279374064299565, 0.0209732584731557, 0.26751669382993615, 0.1451184887600589, 0.07818827322475484, 0.08375147354371588, 0.3617681910942212, 0.12858993014128045, 0.04101581473288865, -0.26677728706673753, 0.096193667305513, 0.017346224454552705] |
710.5276 | Electronegativity in quantum electronic transport | Electronegativity is shown to control charge transfer, energy level
alignments, and electron currents in single molecule tunnel junctions, all of
which are governed by correlations contained within the density matrix. This is
demonstrated by the fact that currents calculated from the one-electron reduced
density matrix to second order in electron correlation are identical to the
currents obtained from the Green's function corrected to second order in
electron self-energy.
| cond-mat.mes-hall cond-mat.mtrl-sci | electronegativity is shown to control charge transfer energy level alignments and electron currents in single molecule tunnel junctions all of which are governed by correlations contained within the density matrix this is demonstrated by the fact that currents calculated from the oneelectron reduced density matrix to second order in electron correlation are identical to the currents obtained from the greens function corrected to second order in electron selfenergy | [['electronegativity', 'is', 'shown', 'to', 'control', 'charge', 'transfer', 'energy', 'level', 'alignments', 'and', 'electron', 'currents', 'in', 'single', 'molecule', 'tunnel', 'junctions', 'all', 'of', 'which', 'are', 'governed', 'by', 'correlations', 'contained', 'within', 'the', 'density', 'matrix', 'this', 'is', 'demonstrated', 'by', 'the', 'fact', 'that', 'currents', 'calculated', 'from', 'the', 'oneelectron', 'reduced', 'density', 'matrix', 'to', 'second', 'order', 'in', 'electron', 'correlation', 'are', 'identical', 'to', 'the', 'currents', 'obtained', 'from', 'the', 'greens', 'function', 'corrected', 'to', 'second', 'order', 'in', 'electron', 'selfenergy']] | [-0.12596358752104125, 0.15804808894651667, 0.0060621770167285025, 0.09125907040673636, 0.08160922114107319, -0.08740554410306846, 0.0028951502754352987, 0.3583241741939941, -0.2590398966225193, -0.3143813381081118, -0.0511988425089786, -0.3464428739526364, -0.07096541143597707, 0.11981876119834316, 0.05034267339129549, 0.05310943039640894, -0.015653232797322905, 0.011621910037801546, -0.1232045213383732, -0.1625517494017806, 0.31225238657241466, 0.053465720101752705, 0.30191383662852733, 0.12367227561224033, 0.08089249592055292, 0.01745841546353939, 0.030881625449504044, 0.048127355086548695, -0.06274380654437717, 0.11896186243222259, 0.2805900348295622, -0.05350345644247307, 0.17932737394756473, -0.49635537302888494, -0.18827029069378862, 0.007379120503387907, 0.12201242295422536, 0.12284107276697315, -0.044714507530229375, -0.25757546884500804, 0.055697806111043864, -0.18337889108806849, -0.11419688953388044, -0.0827310693463968, -8.205455892226276e-05, 0.04899730818236575, -0.29921833994140956, 0.14368303389945888, -0.018967435310033205, -0.045180261450107485, -0.034028143320670896, -0.1510036870261983, -0.0962848005035673, 0.09827841454021194, 0.03431991978055414, 0.062065063936803624, 0.20523713601013535, -0.11409248139449012, -0.06848479960685569, 0.3169834239901427, -0.07011536409160779, -0.21528573872466736, 0.10001722623265404, -0.25622436671298654, -0.02265385858824148, 0.1952066238668254, 0.06781484781737056, 0.06490432799738996, -0.24318409274222658, 0.07860847782970215, 0.0287773740128614, 0.17994255921461016, 0.08325924468911527, 0.020419088815448478, 0.20330181895919583, 0.0833304109161391, 0.05828572502222789, 0.07956736929961206, -0.09211528079365106, -0.09787908161182285, -0.2726112685221083, -0.11701202673002091, -0.28322190279312265, 0.09367600896888796, 0.0018816713232166983, -0.143511365100601, 0.4372108274632517, 0.13810557402286897, 0.16132924193858772, -0.02552575441180071, 0.311447354444467, 0.23180461316095555, 0.1342728884466102, 0.05471215498469332, 0.2151174951611799, 0.19953876040423946, 0.03985747829360394, -0.28568985941905445, 0.06740020854426, 0.08647356047431994] |
710.5277 | Differential equations associated with nonarithmetic Fuchsian groups | We describe globally nilpotent differential operators of rank 2 defined over
a number field whose monodromy group is a nonarithmetic Fuchsian group. We show
that these differential operators have an S-integral solution. These
differential operators are naturally associated with Teichmueller curves in
genus 2. They are counterexamples to conjectures by Chudnovsky--Chudnovsky and
Dwork. We also determine the field of moduli of primitive Teichmueller curves
in genus 2, and an explicit equation in some cases.
| math.AG math.NT | we describe globally nilpotent differential operators of rank 2 defined over a number field whose monodromy group is a nonarithmetic fuchsian group we show that these differential operators have an sintegral solution these differential operators are naturally associated with teichmueller curves in genus 2 they are counterexamples to conjectures by chudnovskychudnovsky and dwork we also determine the field of moduli of primitive teichmueller curves in genus 2 and an explicit equation in some cases | [['we', 'describe', 'globally', 'nilpotent', 'differential', 'operators', 'of', 'rank', '2', 'defined', 'over', 'a', 'number', 'field', 'whose', 'monodromy', 'group', 'is', 'a', 'nonarithmetic', 'fuchsian', 'group', 'we', 'show', 'that', 'these', 'differential', 'operators', 'have', 'an', 'sintegral', 'solution', 'these', 'differential', 'operators', 'are', 'naturally', 'associated', 'with', 'teichmueller', 'curves', 'in', 'genus', '2', 'they', 'are', 'counterexamples', 'to', 'conjectures', 'by', 'chudnovskychudnovsky', 'and', 'dwork', 'we', 'also', 'determine', 'the', 'field', 'of', 'moduli', 'of', 'primitive', 'teichmueller', 'curves', 'in', 'genus', '2', 'and', 'an', 'explicit', 'equation', 'in', 'some', 'cases']] | [-0.22980369627475739, 0.0854399968855039, -0.11827530038568217, 0.09556891016089483, -0.09633607060233182, -0.1311201644696396, -0.06178146375915841, 0.3266274958653879, -0.3299264803188979, -0.25807151787385746, 0.13607383776311385, -0.322902573404733, -0.20371179103952003, 0.2777094114320101, -0.2022251523024327, 0.044816341376989276, -0.0028242141313574, 0.09865522371743478, -0.09491179306909593, -0.3630432425368879, 0.4800887435573984, -0.10497795304635892, 0.12164749398928236, 0.008352413421144357, 0.08752636047633919, -0.03669956128578633, -0.03797536905905282, -0.04335419578315801, -0.1510147024737553, 0.13030844885302154, 0.3411862825773455, 0.042724089294269275, 0.13418904500163942, -0.41461359095331785, -0.1502114676593526, 0.2002835507957718, 0.1521570196949855, 0.02781046150768226, -0.05575524385691293, -0.23734667322069808, 0.07634953598627928, -0.12353129257649384, -0.23194997047225163, -0.12880323120594225, 0.07581428469102075, 0.05320870792933714, -0.17852297639851836, -0.014887214836906767, 0.04112919110402062, 0.1701738776362224, -0.08744310758806564, -0.1057322712426744, -0.06980194676214375, 0.03811524415741096, 0.025245520902948605, 0.014953906515713883, 0.0452448431893277, -0.1113383370275433, -0.1168725260004804, 0.3087379957071027, -0.0720101431880549, -0.22863714699004148, 0.074800602490762, -0.17336290691526154, -0.1757259323714754, 0.16239177114707795, 0.1490929547281986, 0.20782706079842536, -0.052209340589674746, 0.19184723576826573, -0.11945327240470294, 0.09602871877015443, 0.0947036906617467, -0.06752735655125533, 0.08472324240751364, 0.020490542293299694, 0.08383859563272798, 0.04513815930427832, 0.048989369558340344, -0.0424736750098197, -0.3867936027613846, -0.23248763776988396, -0.03569708713896673, 0.12515434165283837, -0.1495038344382428, -0.17131629488761285, 0.4107471749287199, 0.052314029918429816, 0.18787547253777045, 0.13628757645602566, 0.17216544878367032, 0.13000626919942126, 0.08581455643414646, 0.11302907124942017, 0.125259064007755, 0.21166821931665009, -0.06348978933985219, -0.13221548608428724, -0.06676649471518357, 0.22935636784579302] |
710.5278 | A transiting planet among 23 new near-threshold candidates from the OGLE
survey - OGLE-TR-182 | By re-processing the data of the second season of the OGLE survey for
planetary transits and adding new mesurements on the same fields gathered in
subsequent years with the OGLE telescope, we have identified 23 new transit
candidates, recorded as OGLE-TR-178 to OGLE-TR-200. We studied the nature of
these objects with the FLAMES/UVES multi-fiber spectrograph on the VLT. One of
the candidates, OGLE-TR-182, was confirmed as a transiting gas giant planet on
a 4-day orbit. We characterised it with further observations using the FORS1
camera and UVES spectrograph on the VLT. OGLE-TR-182b is a typical ``hot
Jupiter'' with an orbital period of 3.98 days, a mass of 1.01 +- 0.15 MJup and
a radius of 1.13 (+0.24-0.08) RJup. Confirming this transiting planet required
a large investment in telescope time with the best instruments available, and
we comment on the difficulty of the confirmation process for transiting planets
in the OGLE survey. We delienate the zone were confirmation is difficult or
impossible, and discuss the implications for the Corot space mission in its
quest for transiting telluric planets.
| astro-ph | by reprocessing the data of the second season of the ogle survey for planetary transits and adding new mesurements on the same fields gathered in subsequent years with the ogle telescope we have identified 23 new transit candidates recorded as ogletr178 to ogletr200 we studied the nature of these objects with the flamesuves multifiber spectrograph on the vlt one of the candidates ogletr182 was confirmed as a transiting gas giant planet on a 4day orbit we characterised it with further observations using the fors1 camera and uves spectrograph on the vlt ogletr182b is a typical hot jupiter with an orbital period of 398 days a mass of 101 015 mjup and a radius of 113 024008 rjup confirming this transiting planet required a large investment in telescope time with the best instruments available and we comment on the difficulty of the confirmation process for transiting planets in the ogle survey we delienate the zone were confirmation is difficult or impossible and discuss the implications for the corot space mission in its quest for transiting telluric planets | [['by', 'reprocessing', 'the', 'data', 'of', 'the', 'second', 'season', 'of', 'the', 'ogle', 'survey', 'for', 'planetary', 'transits', 'and', 'adding', 'new', 'mesurements', 'on', 'the', 'same', 'fields', 'gathered', 'in', 'subsequent', 'years', 'with', 'the', 'ogle', 'telescope', 'we', 'have', 'identified', '23', 'new', 'transit', 'candidates', 'recorded', 'as', 'ogletr178', 'to', 'ogletr200', 'we', 'studied', 'the', 'nature', 'of', 'these', 'objects', 'with', 'the', 'flamesuves', 'multifiber', 'spectrograph', 'on', 'the', 'vlt', 'one', 'of', 'the', 'candidates', 'ogletr182', 'was', 'confirmed', 'as', 'a', 'transiting', 'gas', 'giant', 'planet', 'on', 'a', '4day', 'orbit', 'we', 'characterised', 'it', 'with', 'further', 'observations', 'using', 'the', 'fors1', 'camera', 'and', 'uves', 'spectrograph', 'on', 'the', 'vlt', 'ogletr182b', 'is', 'a', 'typical', 'hot', 'jupiter', 'with', 'an', 'orbital', 'period', 'of', '398', 'days', 'a', 'mass', 'of', '101', '015', 'mjup', 'and', 'a', 'radius', 'of', '113', '024008', 'rjup', 'confirming', 'this', 'transiting', 'planet', 'required', 'a', 'large', 'investment', 'in', 'telescope', 'time', 'with', 'the', 'best', 'instruments', 'available', 'and', 'we', 'comment', 'on', 'the', 'difficulty', 'of', 'the', 'confirmation', 'process', 'for', 'transiting', 'planets', 'in', 'the', 'ogle', 'survey', 'we', 'delienate', 'the', 'zone', 'were', 'confirmation', 'is', 'difficult', 'or', 'impossible', 'and', 'discuss', 'the', 'implications', 'for', 'the', 'corot', 'space', 'mission', 'in', 'its', 'quest', 'for', 'transiting', 'telluric', 'planets']] | [-0.12477720088140545, 0.11477018159014679, -0.09542713985394906, 0.007975555853355378, -0.17075992156888414, -0.08511955887490116, 0.10906080126433688, 0.34805190848077044, -0.09911134584450766, -0.3974470927763511, 0.14140854009413434, -0.33524997568524934, -0.08428856303833206, 0.24869000632452834, -0.11627275730099748, 0.0659248086538248, 0.19923032211304148, -0.08329907139653668, 0.01648938323615927, -0.36155096856082847, 0.24664644362021457, 0.0944552316385157, 0.05759954342810328, -0.04677548767683808, 0.08043374585138414, -0.044285245553371225, -0.1070889226607773, -0.07208420601142708, -0.19600450699765454, 0.05089791205930797, 0.22381026604459348, 0.1444872561321758, 0.21192833071245867, -0.30601584648932606, -0.14872946298188147, 0.0450122729929931, 0.11341299986644812, -0.01753706737037967, -0.03704257409211577, -0.35754829072941313, 0.06298626863178523, -0.17297035987858717, -0.19534958662355648, 0.04169937961063731, 0.10195932933677207, -0.006886688818442909, -0.23547642912085662, 0.027486601663643823, -0.045458452191601016, 0.22830997858306065, -0.20438392847461406, -0.1452923751244431, -0.04599622826448039, 0.091255552843487, 0.009575469736249514, 0.021805036374751258, 0.06822933942106936, -0.09582561016055371, -0.03837794447043801, 0.4114301241769948, -0.14351874103851836, 0.07147155260694597, 0.20591939129483175, -0.22695435636457714, -0.16864360095659162, 0.11797077054815257, 0.18374229845974374, 0.1666823546484332, -0.19098031158175538, 0.03156761571675922, -0.01647780022707165, 0.22175543273196502, 0.09230873402865494, 0.052137462222291264, 0.3849770220681368, 0.17824082337319852, 0.0469645301304648, 0.08019783310318256, -0.33659149117849985, -0.02496679737506544, -0.1917891242157887, -0.15134666788439705, -0.17970631863469916, 0.022906862680033287, -0.0857668551913401, -0.0978496037026429, 0.36744731192285307, 0.13934347163440713, 0.18563541095320354, 0.019354957321261548, 0.3250226757653496, 0.038293839797980206, 0.13709116603003008, 0.04528611576431157, 0.3745942563092446, 0.1218973321158795, 0.14727260525995756, -0.21644824487037326, 0.06796284445616252, -0.009789215815801392] |
710.5279 | Normal subgroups of the algebraic fundamental group of affine curves in
positive characteristic | Let $\pi_1(C)$ be the algebraic fundamental group of a smooth connected
affine curve, defined over an algebraically closed field of characteristic
$p>0$ of countable cardinality. Let $N$ be a normal (resp. characteristic)
subgroup of $\pi_1(C)$. Under the hypothesis that the quotient $\pi_1(C)/N$
admits an infinitely generated Sylow $p$-subgroup, we prove that $N$ is indeed
isomorphic to a normal (resp. characteristic) subgroup of a free profinite
group of countable cardinality. As a consequence, every proper open subgroup of
$N$ is a free profinite group of countable cardinality.
| math.AG math.GR | let pi_1c be the algebraic fundamental group of a smooth connected affine curve defined over an algebraically closed field of characteristic p0 of countable cardinality let n be a normal resp characteristic subgroup of pi_1c under the hypothesis that the quotient pi_1cn admits an infinitely generated sylow psubgroup we prove that n is indeed isomorphic to a normal resp characteristic subgroup of a free profinite group of countable cardinality as a consequence every proper open subgroup of n is a free profinite group of countable cardinality | [['let', 'pi_1c', 'be', 'the', 'algebraic', 'fundamental', 'group', 'of', 'a', 'smooth', 'connected', 'affine', 'curve', 'defined', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'p0', 'of', 'countable', 'cardinality', 'let', 'n', 'be', 'a', 'normal', 'resp', 'characteristic', 'subgroup', 'of', 'pi_1c', 'under', 'the', 'hypothesis', 'that', 'the', 'quotient', 'pi_1cn', 'admits', 'an', 'infinitely', 'generated', 'sylow', 'psubgroup', 'we', 'prove', 'that', 'n', 'is', 'indeed', 'isomorphic', 'to', 'a', 'normal', 'resp', 'characteristic', 'subgroup', 'of', 'a', 'free', 'profinite', 'group', 'of', 'countable', 'cardinality', 'as', 'a', 'consequence', 'every', 'proper', 'open', 'subgroup', 'of', 'n', 'is', 'a', 'free', 'profinite', 'group', 'of', 'countable', 'cardinality']] | [-0.2875463203362682, 0.17180622671765056, -0.14199590464944348, 0.014405376771601903, -0.1535554239033338, -0.17207542159320677, 0.024947329705772812, 0.3415484351105988, -0.410863720625639, -0.11272756981060786, 0.05539441247854163, -0.24546408384271404, -0.010261236298281481, 0.23912231059512123, -0.16778507646830643, -0.11438621966277852, 0.013712389493251547, 0.278280518340933, -0.04674816752290901, -0.28388996978893, 0.35731979231624045, -0.15439462622298913, 0.23695253029136973, -0.021976096893195064, 0.1369910865145571, 0.0057857357513378645, 0.055318302069516746, 0.0458207591491587, -0.14466631814156083, 0.02880449367358404, 0.38236115176011537, 0.1009360578869853, 0.2799908858224037, -0.33361551319351695, -0.15772882546572126, 0.3635877066894489, 0.200366073846817, -0.1583266876747503, -0.018986991423127406, -0.26379578770960077, 0.18467679690460073, -0.20143926757223465, -0.2183924098225201, -0.006356931346304277, 0.164814956372549, -0.0689768160090727, -0.2507137187920949, -0.06808354380157064, 0.11687517220921376, 0.22224064467146115, -0.03828584096010994, -0.06633101085830918, -0.07351090879563023, 0.04061967888299157, -0.016463152741027227, 0.10611786306013955, 0.08554273227037971, -0.025504451332723395, -0.10079726021846427, 0.4274878582698019, -0.1228568252066479, -0.18032031164449805, 0.07363144380643087, -0.17763335706994815, -0.16270655108725324, 0.199204161938499, 0.051855338803109004, 0.1689318341915222, 0.03779425333966227, 0.3129297802115188, -0.2609860412338201, 0.10274637739091892, 0.053644135178012003, -0.02380479031845051, 0.09197433492826189, 0.09506859699373736, 0.11895789386814132, 0.12145453669295153, 0.11833483296282152, 0.11969122432501, -0.42449323587557847, -0.17304629898794432, -0.11829643799539874, 0.2620970197241096, -0.13970371817978208, -0.2519472467548707, 0.385092150606215, -0.01928953200660865, 0.058127212206668714, 0.1812071108533179, 0.14794869745040642, 0.02516469380078728, 0.015122149621739108, 0.16275775704313727, -0.06568619485615808, 0.3038888968582101, -0.30970815957715625, -0.17162351150558713, 0.01217345956932096, 0.23015593517133418] |
710.528 | Emergence of multiscaling in heterogeneous complex networks | In this paper we provide numerical evidence of the richer behavior of the
connectivity degrees in heterogeneous preferential attachment networks in
comparison to their homogeneous counterparts. We analyze the degree
distribution in the threshold model, a preferential attachment model where the
affinity between node states biases the attachment probabilities of links. We
show that the degree densities exhibit a power-law multiscaling which points to
a signature of heterogeneity in preferential attachment networks. This
translates into a power-law scaling in the degree distribution, whose exponent
depends on the specific form of heterogeneity in the attachment mechanism.
| cond-mat.other | in this paper we provide numerical evidence of the richer behavior of the connectivity degrees in heterogeneous preferential attachment networks in comparison to their homogeneous counterparts we analyze the degree distribution in the threshold model a preferential attachment model where the affinity between node states biases the attachment probabilities of links we show that the degree densities exhibit a powerlaw multiscaling which points to a signature of heterogeneity in preferential attachment networks this translates into a powerlaw scaling in the degree distribution whose exponent depends on the specific form of heterogeneity in the attachment mechanism | [['in', 'this', 'paper', 'we', 'provide', 'numerical', 'evidence', 'of', 'the', 'richer', 'behavior', 'of', 'the', 'connectivity', 'degrees', 'in', 'heterogeneous', 'preferential', 'attachment', 'networks', 'in', 'comparison', 'to', 'their', 'homogeneous', 'counterparts', 'we', 'analyze', 'the', 'degree', 'distribution', 'in', 'the', 'threshold', 'model', 'a', 'preferential', 'attachment', 'model', 'where', 'the', 'affinity', 'between', 'node', 'states', 'biases', 'the', 'attachment', 'probabilities', 'of', 'links', 'we', 'show', 'that', 'the', 'degree', 'densities', 'exhibit', 'a', 'powerlaw', 'multiscaling', 'which', 'points', 'to', 'a', 'signature', 'of', 'heterogeneity', 'in', 'preferential', 'attachment', 'networks', 'this', 'translates', 'into', 'a', 'powerlaw', 'scaling', 'in', 'the', 'degree', 'distribution', 'whose', 'exponent', 'depends', 'on', 'the', 'specific', 'form', 'of', 'heterogeneity', 'in', 'the', 'attachment', 'mechanism']] | [-0.16021908976499138, 0.11498022549663131, -0.0945680738132643, 0.07443881125777568, -0.03827200063663584, -0.1364199812082868, 0.11263965501597054, 0.3916582104406859, -0.269407445711917, -0.27521973534634236, -0.07198192797674749, -0.2848661499980249, -0.2081175001632226, 0.04486509561048527, -0.0022978695599656356, -0.025796355503170113, -0.02116551984248585, 0.034028054154049116, 0.04421992786473742, -0.1913016510490132, 0.3289296993299534, 0.10608596644903484, 0.35515896987758183, 0.07089085186782636, 0.04603621180101886, -0.008328666897662181, 0.009550746368538391, 0.05673938725437773, -0.17222832942566846, 0.14632467491932116, 0.1544912575976923, 0.0850653634896796, 0.24994514859036396, -0.40900070839806607, -0.27588477295480274, 0.138314430940112, 0.1492031373010066, 0.09281181905688228, -0.01718980488735006, -0.20468861521466783, 0.05007190985090442, -0.20203778031205538, -0.15418131773997296, 0.007495839687946595, 0.027362065811298394, 0.11609503783432669, -0.2635467682720015, 0.13386174555880165, 0.11511235582201104, 0.09530068234981674, -0.03119280946097876, -0.06790915365870062, -0.05541022118475092, 0.11678904884151722, 0.007538821060504569, -0.051894491592324093, 0.10054922766591373, -0.20189655838828338, -0.16023146705211777, 0.35319185174609485, -0.0296614905427161, -0.23460608776658773, 0.19954481963558415, -0.17628824172026822, -0.18548553140441837, 0.13435197855885092, 0.25230139858628575, 0.07788188396217792, -0.1269959744115017, 0.015309818652703575, -0.02375858756468484, 0.16358072459697723, 0.06029400789227925, 0.00973103616484686, 0.16374192941737803, 0.17832947527303508, 0.07659162912811888, 0.16179319540724943, -0.07671091582282985, -0.15555293039712859, -0.25906322180832686, -0.12263726870970507, -0.2044964683830346, 0.07980320581210483, -0.1962999366713982, -0.19016225867855704, 0.4564507848999806, 0.13277364019074747, 0.3050820069583623, 0.1197653152452978, 0.19401896680264097, 0.09472011533614837, 0.05631629961640819, 0.07505660371756867, 0.15725096325929228, 0.10174129858220879, 0.06157072114415075, -0.17516687970216338, 0.21484512312729892, 0.02343353687197362] |
710.5281 | An extended formalism for preferential attachment in heterogeneous
complex networks | In this paper we present a framework for the extension of the preferential
attachment (PA) model to heterogeneous complex networks. We define a class of
heterogeneous PA models, where node properties are described by fixed states in
an arbitrary metric space, and introduce an affinity function that biases the
attachment probabilities of links. We perform an analytical study of the
stationary degree distributions in heterogeneous PA networks. We show that
their degree densities exhibit a richer scaling behavior than their homogeneous
counterparts, and that the power law scaling in the degree distribution is
robust in presence of heterogeneity.
| cond-mat.other | in this paper we present a framework for the extension of the preferential attachment pa model to heterogeneous complex networks we define a class of heterogeneous pa models where node properties are described by fixed states in an arbitrary metric space and introduce an affinity function that biases the attachment probabilities of links we perform an analytical study of the stationary degree distributions in heterogeneous pa networks we show that their degree densities exhibit a richer scaling behavior than their homogeneous counterparts and that the power law scaling in the degree distribution is robust in presence of heterogeneity | [['in', 'this', 'paper', 'we', 'present', 'a', 'framework', 'for', 'the', 'extension', 'of', 'the', 'preferential', 'attachment', 'pa', 'model', 'to', 'heterogeneous', 'complex', 'networks', 'we', 'define', 'a', 'class', 'of', 'heterogeneous', 'pa', 'models', 'where', 'node', 'properties', 'are', 'described', 'by', 'fixed', 'states', 'in', 'an', 'arbitrary', 'metric', 'space', 'and', 'introduce', 'an', 'affinity', 'function', 'that', 'biases', 'the', 'attachment', 'probabilities', 'of', 'links', 'we', 'perform', 'an', 'analytical', 'study', 'of', 'the', 'stationary', 'degree', 'distributions', 'in', 'heterogeneous', 'pa', 'networks', 'we', 'show', 'that', 'their', 'degree', 'densities', 'exhibit', 'a', 'richer', 'scaling', 'behavior', 'than', 'their', 'homogeneous', 'counterparts', 'and', 'that', 'the', 'power', 'law', 'scaling', 'in', 'the', 'degree', 'distribution', 'is', 'robust', 'in', 'presence', 'of', 'heterogeneity']] | [-0.1469471655710011, 0.0940865695597402, -0.0782612019826715, 0.06417235094407688, -0.026938747878338457, -0.12118431850222453, 0.03991412076438606, 0.41271490961009144, -0.27007203610918046, -0.2586781683434941, -0.01843695226956957, -0.26279349827530735, -0.20362854681966103, 0.09025233099949831, -0.04052174207992015, 0.00781938080124709, -0.007634222212874768, 0.011194222321619793, -0.005570945398863025, -0.19179320865909436, 0.35221227968339713, 0.08091157871507565, 0.3293723140044936, 0.021466292070262894, 0.08198706287093584, 0.022029921096483513, 0.0038897904902411512, 0.08508537078664724, -0.14236498733723182, 0.15579683312906276, 0.2098310233837505, 0.11709780495955932, 0.24611329986257668, -0.3945687701355438, -0.26023789525640256, 0.14933249706934607, 0.11546063126416459, 0.088025927612539, -0.015548723364933108, -0.2189698242487348, 0.1056884679449152, -0.22933465207387024, -0.18457132975846452, -0.06935302856169184, 0.031225540200058296, 0.08953435222466229, -0.27407418254154675, 0.09496696932925558, 0.0961756293224741, 0.09918280902831834, -0.04400557382697506, -0.07466757632982061, 0.0032831074441878163, 0.11761641608817237, -0.031147661190052345, -0.024987447420040106, 0.09572769823122998, -0.1928438771900968, -0.1504440373760097, 0.3629507770647808, -0.050272846611826065, -0.25977906786209465, 0.19434953910982883, -0.13770006492030712, -0.1684926275724583, 0.10319734418441598, 0.2576407845588211, 0.14192993457261913, -0.1514104029676896, 0.047969986341388215, -0.04109744502383531, 0.15484846657028004, 0.021877363423949907, 0.03835198655249361, 0.15165632834410941, 0.15528428780238088, 0.08127146557315576, 0.17057467822213562, -0.07406170913303385, -0.12811900604972426, -0.2715445906589074, -0.13277669331743097, -0.16523478799309504, 0.051184824772407204, -0.1545102629779092, -0.16908004372950872, 0.39924555529878303, 0.13167006685160937, 0.26006720171367026, 0.14306027903126514, 0.23785156312598182, 0.12454105007025051, 0.011882377251488517, 0.0967609518806317, 0.16097385860618432, 0.10270584935835582, 0.0770020046442443, -0.16578948775743496, 0.14515980679484808, -0.004894026120345355] |
710.5282 | Scalar Field Equations from Quantum Gravity during Inflation | We exploit a previous computation of the self-mass-squared from quantum
gravity to include quantum corrections to the scalar evolution equation. The
plane wave mode functions are shown to receive no significant one loop
corrections at late times. This result probably applies as well to the inflaton
of scalar-driven inflation. If so, there is no significant correction to the
$\phi \phi$ correlator that plays a crucial role in computations of the power
spectrum.
| gr-qc astro-ph hep-th | we exploit a previous computation of the selfmasssquared from quantum gravity to include quantum corrections to the scalar evolution equation the plane wave mode functions are shown to receive no significant one loop corrections at late times this result probably applies as well to the inflaton of scalardriven inflation if so there is no significant correction to the phi phi correlator that plays a crucial role in computations of the power spectrum | [['we', 'exploit', 'a', 'previous', 'computation', 'of', 'the', 'selfmasssquared', 'from', 'quantum', 'gravity', 'to', 'include', 'quantum', 'corrections', 'to', 'the', 'scalar', 'evolution', 'equation', 'the', 'plane', 'wave', 'mode', 'functions', 'are', 'shown', 'to', 'receive', 'no', 'significant', 'one', 'loop', 'corrections', 'at', 'late', 'times', 'this', 'result', 'probably', 'applies', 'as', 'well', 'to', 'the', 'inflaton', 'of', 'scalardriven', 'inflation', 'if', 'so', 'there', 'is', 'no', 'significant', 'correction', 'to', 'the', 'phi', 'phi', 'correlator', 'that', 'plays', 'a', 'crucial', 'role', 'in', 'computations', 'of', 'the', 'power', 'spectrum']] | [-0.16495769443604835, 0.1246873351952268, -0.12291798857040703, 0.10553111446400483, -0.05985156405303213, -0.1481093280470102, -0.025615355478496186, 0.29957864368851816, -0.20620011414090791, -0.27327387704927886, 0.04587972153644336, -0.2939126030024555, -0.15645539201796055, 0.196292327859232, -0.01460455076650962, 0.043505969159822494, 0.05545039921222875, 0.063622384726639, -0.03433647475968529, -0.21802680121941698, 0.29751515289697433, 0.09559624793797007, 0.19644509500358254, 0.07282260405999194, 0.0673080652163157, -0.03169944848115039, -0.03513766911217115, -0.04839525558054447, -0.10759278552773645, 0.011552003740992708, 0.2144010854923787, 0.08146623162449235, 0.25392683165975743, -0.41268225632504457, -0.21664209484070954, 0.18151839537313208, 0.14598072474877377, 0.14254864701716644, -0.04296716188804971, -0.190516337674732, 0.08385650798057516, -0.1600224399783959, -0.11708277500131065, -0.054981146667463086, 0.050890773295476616, -0.10728802422009823, -0.2683070689874714, 0.08579504535171306, 0.034847782939323224, -0.03682954410194523, 0.02966690110689443, -0.09349595409973215, -0.04159644551044847, 0.13948968048336813, 0.10169716657957098, 0.14146162658774605, 0.1366585820990925, -0.16368786690226342, -0.0940555803907854, 0.42081818868043935, -0.11463412884364112, -0.1793455873331469, 0.10585815880848612, -0.17525727259150395, -0.16187346656806767, 0.1361432744629888, 0.14009018376883534, 0.06452043750323355, -0.08081978260694693, 0.137456992873922, 0.0780049581341397, 0.18717194733391, 0.0682802793582798, 0.08082533343501079, 0.2392265114855642, 0.04565910112190371, 0.05417787290288187, 0.1314796025205093, -0.005016479072057539, -0.16322306456277147, -0.38338013407256866, -0.13618608666163506, -0.13183251515915295, 0.06413404823393244, -0.08185794575709021, -0.18815486684252392, 0.36621419582257253, 0.12549784515673915, 0.16302228037966415, 0.02889392416950108, 0.31182384509075844, 0.16514364891109937, 0.15726089067498428, 0.10331195711235826, 0.3077229926647205, 0.17055505224400097, 0.15560814021349265, -0.24988998435502355, -0.02734961704764929, 0.03487116673689646] |
710.5283 | The Static Approximation to B Meson Mixing using Light Domain-Wall
Fermions: Perturbative Renormalization and Ground State Degeneracies | We discuss the theoretical input into the current RBC-UKQCD calculation of
$f_{B_{d, s}}$ and $B_{B_{d, s}}$ using a smeared static heavy quark
propagator, light domain-wall quarks and the Iwasaki gauge action. We present
the complete one-loop, mean-field improved matching of heavy-light current and
four-fermion lattice operators onto the static continuum theory renormalized in
$\bar{\text{MS}}$(NDR). The large degeneracies present in a static calculation
are addressed, and a method for extracting $f_B$ and $B_B$ using only box
sources is described; implications for future calculations are discussed.
| hep-lat | we discuss the theoretical input into the current rbcukqcd calculation of f_b_d s and b_b_d s using a smeared static heavy quark propagator light domainwall quarks and the iwasaki gauge action we present the complete oneloop meanfield improved matching of heavylight current and fourfermion lattice operators onto the static continuum theory renormalized in bartextmsndr the large degeneracies present in a static calculation are addressed and a method for extracting f_b and b_b using only box sources is described implications for future calculations are discussed | [['we', 'discuss', 'the', 'theoretical', 'input', 'into', 'the', 'current', 'rbcukqcd', 'calculation', 'of', 'f_b_d', 's', 'and', 'b_b_d', 's', 'using', 'a', 'smeared', 'static', 'heavy', 'quark', 'propagator', 'light', 'domainwall', 'quarks', 'and', 'the', 'iwasaki', 'gauge', 'action', 'we', 'present', 'the', 'complete', 'oneloop', 'meanfield', 'improved', 'matching', 'of', 'heavylight', 'current', 'and', 'fourfermion', 'lattice', 'operators', 'onto', 'the', 'static', 'continuum', 'theory', 'renormalized', 'in', 'bartextmsndr', 'the', 'large', 'degeneracies', 'present', 'in', 'a', 'static', 'calculation', 'are', 'addressed', 'and', 'a', 'method', 'for', 'extracting', 'f_b', 'and', 'b_b', 'using', 'only', 'box', 'sources', 'is', 'described', 'implications', 'for', 'future', 'calculations', 'are', 'discussed']] | [-0.10942947573914945, 0.23230677151334395, -0.05742662674074162, 0.12422414608327784, -0.04378699619289353, -0.12456843443495412, 0.09456585639251777, 0.3853973900697317, -0.13114471675222178, -0.21634415683549751, 0.04603565584991621, -0.3295938175799976, -0.0384075362403619, 0.10495834763397474, 0.06090771713215543, 0.10287760689585324, 0.08296757777142956, -0.014408383052796125, -0.131030130452555, -0.1784961742898786, 0.29458436949447875, -0.01574096269905567, 0.2270569392895124, 0.17684907414557705, 0.027895566614636456, 0.07882055045240166, -0.11748426605060876, -0.0011828140052686255, -0.10606841462999526, 0.09012011960373227, 0.14388481525533148, 0.04809255810476929, 0.11440547151808032, -0.40155548894082205, -0.20052653462177208, 0.032236854955329595, 0.14738731239978448, 0.16749509473342494, -0.04922617614095335, -0.3272773488817445, 0.09660740462286084, -0.19821617752313614, -0.16068570821473083, -0.1605846456543778, -0.010312025491372648, -0.07484210651165929, -0.3048554409256048, 0.0643564946220133, -0.07406737836616406, 0.05297764678159939, -0.0463825819273311, -0.24080881553264447, -0.056198181483490636, 0.08534807266936784, 0.0408684236547315, 0.12200237501479955, 0.14276047785324955, -0.17563368386241146, -0.14348318088934364, 0.412699408290616, -0.10883443975394749, -0.21082632582500038, 0.08100148019975567, -0.14058279933924056, -0.13851053466324706, 0.04400243254726281, 0.16051019416807824, 0.13982315108471785, -0.19638160234653806, 0.1671914931546079, -0.039240837153271736, 0.14652443706360926, 0.07244827689221466, 0.027992137758263265, 0.22729294524943255, 0.1822224255673677, -0.0546357238900859, 0.09197391627401293, -0.010495230639690017, -0.1212809831128422, -0.3831170730023499, -0.018376103366713924, -0.1282935653959053, 0.0851993168737874, -0.12761091627653953, -0.16329148717446207, 0.4000977469181799, 0.1552993278075234, 0.16336267877437444, 0.019178112071142138, 0.28415926601962155, 0.12070939607963145, 0.0582987974813006, 0.08379346023998167, 0.23573543683412562, 0.14831762572368942, 0.08697190210896444, -0.30645229586635725, -0.13098454316068125, 0.18105011940260518] |
710.5284 | Staggered grids discretization in three-dimensional Darcy convection | We consider three-dimensional convection of an incompressible fluid saturated
in a parallelepiped with a porous medium. A mimetic finite-difference scheme
for the Darcy convection problem in the primitive variables is developed. It
consists of staggered nonuniform grids with five types of nodes, differencing
and averaging operators on a two-nodes stencil. The nonlinear terms are
approximated using special schemes. Two problems with different boundary
conditions are considered to study scenarios of instability of the state of
rest. Branching off of a continuous family of steady states was detected for
the problem with zero heat fluxes on two opposite lateral planes.
| nlin.CD | we consider threedimensional convection of an incompressible fluid saturated in a parallelepiped with a porous medium a mimetic finitedifference scheme for the darcy convection problem in the primitive variables is developed it consists of staggered nonuniform grids with five types of nodes differencing and averaging operators on a twonodes stencil the nonlinear terms are approximated using special schemes two problems with different boundary conditions are considered to study scenarios of instability of the state of rest branching off of a continuous family of steady states was detected for the problem with zero heat fluxes on two opposite lateral planes | [['we', 'consider', 'threedimensional', 'convection', 'of', 'an', 'incompressible', 'fluid', 'saturated', 'in', 'a', 'parallelepiped', 'with', 'a', 'porous', 'medium', 'a', 'mimetic', 'finitedifference', 'scheme', 'for', 'the', 'darcy', 'convection', 'problem', 'in', 'the', 'primitive', 'variables', 'is', 'developed', 'it', 'consists', 'of', 'staggered', 'nonuniform', 'grids', 'with', 'five', 'types', 'of', 'nodes', 'differencing', 'and', 'averaging', 'operators', 'on', 'a', 'twonodes', 'stencil', 'the', 'nonlinear', 'terms', 'are', 'approximated', 'using', 'special', 'schemes', 'two', 'problems', 'with', 'different', 'boundary', 'conditions', 'are', 'considered', 'to', 'study', 'scenarios', 'of', 'instability', 'of', 'the', 'state', 'of', 'rest', 'branching', 'off', 'of', 'a', 'continuous', 'family', 'of', 'steady', 'states', 'was', 'detected', 'for', 'the', 'problem', 'with', 'zero', 'heat', 'fluxes', 'on', 'two', 'opposite', 'lateral', 'planes']] | [-0.18828171847512795, 0.14295056675025145, -0.03587598869144314, 0.004908632721065196, -0.034577136880464175, -0.14278964755228823, -0.010293022503681255, 0.35765800610034154, -0.2611287044587009, -0.2557829029557079, 0.11893692193317669, -0.2484256404597839, -0.045208301978430364, 0.17352608624243676, -0.04115519270940562, 0.08590803581355798, 0.05271933401577325, -0.026051351351362436, -0.07341932073338991, -0.2151087894388992, 0.35227763363056713, -0.0495824378567061, 0.28465802207438634, -0.024217691371273813, 0.13229446909437426, -0.0762684641810454, -0.03324149204229917, 0.070924967762572, -0.10907012773818817, 0.05344536772757449, 0.2207719354650401, -0.01954088888291006, 0.2520421744486543, -0.47690159419194017, -0.2835895564839846, 0.08333340202542869, 0.12308521889564064, 0.0999795206178055, -0.02263167560937805, -0.23224830920008396, 0.04675053301587174, -0.13943855231627822, -0.14154124615074257, -0.004893303006849807, 0.0007288700788084304, 0.04633686257612782, -0.30384368932984696, 0.09116818761039111, 0.03880891227868922, 0.07268801101981992, -0.10369381135931671, -0.13127926319150837, -0.0530510325586856, 0.08076636073170136, 0.006505347370885012, -0.04124198894185776, 0.07502196094190533, -0.1031185481885467, -0.10026081660386137, 0.40741552920680435, -0.06497435616987823, -0.2948063389595711, 0.18174829569203083, -0.09627208765596151, -0.0650322967905062, 0.14972056786769605, 0.1954890345223248, 0.17586189293951698, -0.14301411381386447, 0.05307802694292287, -0.08268162004550862, 0.12612004718987854, 0.09975997591861571, -0.04501940175477001, 0.15754704577189804, 0.20296406725214589, 0.0910005568140986, 0.17448983012626273, -0.07593123587271706, -0.13933626936297072, -0.3006044018900756, -0.14773729624875792, -0.1370016100411915, -0.0036026198026545423, -0.10750638130294381, -0.24183019058252073, 0.3883287649957926, 0.06016835015304763, 0.13762670341935573, 0.006340832421273896, 0.293105578322829, 0.13034723614427177, 0.021723332570282496, 0.1068835924520637, 0.19406971972285195, 0.19030201193321533, 0.13046112907768198, -0.23204967322420667, -0.0010951283961685018, 0.15109694857300834] |
710.5285 | Are the missing X-ray breaks in Gamma-ray Burst afterglow light curves
merely hidden? | Gamma-ray burst afterglow observations in the Swift era have a perceived lack
of achromatic jet breaks compared to the BeppoSAX, or pre-Swift era.
Specifically, relatively few breaks, consistent with jet breaks, are observed
in the X-ray light curves of these bursts. If these breaks are truly missing,
it has serious consequences for the interpretation of GRB jet collimation and
energy requirements, and the use of GRBs as cosmological tools. Here we address
the issue of X-ray breaks that are possibly `hidden' and hence the light curves
are misinterpreted as being single power laws. We do so by synthesising XRT
light curves and fitting both single and broken power laws, and comparing the
relative goodness of each fit via Monte Carlo analysis. Even with the well
sampled light curves of the Swift era, these breaks may be left misidentified,
hence caution is required when making definite statements on the absence of
achromatic breaks.
| astro-ph | gammaray burst afterglow observations in the swift era have a perceived lack of achromatic jet breaks compared to the bepposax or preswift era specifically relatively few breaks consistent with jet breaks are observed in the xray light curves of these bursts if these breaks are truly missing it has serious consequences for the interpretation of grb jet collimation and energy requirements and the use of grbs as cosmological tools here we address the issue of xray breaks that are possibly hidden and hence the light curves are misinterpreted as being single power laws we do so by synthesising xrt light curves and fitting both single and broken power laws and comparing the relative goodness of each fit via monte carlo analysis even with the well sampled light curves of the swift era these breaks may be left misidentified hence caution is required when making definite statements on the absence of achromatic breaks | [['gammaray', 'burst', 'afterglow', 'observations', 'in', 'the', 'swift', 'era', 'have', 'a', 'perceived', 'lack', 'of', 'achromatic', 'jet', 'breaks', 'compared', 'to', 'the', 'bepposax', 'or', 'preswift', 'era', 'specifically', 'relatively', 'few', 'breaks', 'consistent', 'with', 'jet', 'breaks', 'are', 'observed', 'in', 'the', 'xray', 'light', 'curves', 'of', 'these', 'bursts', 'if', 'these', 'breaks', 'are', 'truly', 'missing', 'it', 'has', 'serious', 'consequences', 'for', 'the', 'interpretation', 'of', 'grb', 'jet', 'collimation', 'and', 'energy', 'requirements', 'and', 'the', 'use', 'of', 'grbs', 'as', 'cosmological', 'tools', 'here', 'we', 'address', 'the', 'issue', 'of', 'xray', 'breaks', 'that', 'are', 'possibly', 'hidden', 'and', 'hence', 'the', 'light', 'curves', 'are', 'misinterpreted', 'as', 'being', 'single', 'power', 'laws', 'we', 'do', 'so', 'by', 'synthesising', 'xrt', 'light', 'curves', 'and', 'fitting', 'both', 'single', 'and', 'broken', 'power', 'laws', 'and', 'comparing', 'the', 'relative', 'goodness', 'of', 'each', 'fit', 'via', 'monte', 'carlo', 'analysis', 'even', 'with', 'the', 'well', 'sampled', 'light', 'curves', 'of', 'the', 'swift', 'era', 'these', 'breaks', 'may', 'be', 'left', 'misidentified', 'hence', 'caution', 'is', 'required', 'when', 'making', 'definite', 'statements', 'on', 'the', 'absence', 'of', 'achromatic', 'breaks']] | [-0.0808721024199928, 0.1639160067149389, -0.11571884163851409, 0.18304406358679684, -0.16616423870436847, -0.17167999111361018, 0.046742718824565314, 0.4693916905426273, -0.22788576214990922, -0.3620178627806078, 0.1156701499505863, -0.32060356778827936, -0.010046277398942038, 0.23269791901035014, -0.06038180674046376, 0.05914696869225927, 0.056434428111012826, -0.11779749108551953, -0.0712455545328435, -0.23203494485565707, 0.2584469387978683, 0.08219558822824374, 0.2309540947476068, -0.021111125984278164, 0.07072065288651318, 0.012916791150162584, -0.07662985699693979, -0.0064714228654721455, -0.051475496890912166, 0.040376751643826106, 0.18503186157077403, 0.1405582134979532, 0.20663808466940137, -0.4384844424264309, -0.24374716177484707, 0.14557935579643144, 0.15786724022473209, 0.026689841976468943, -0.03465224214979619, -0.24815649411788113, 0.050838106221482646, -0.16796017548461495, -0.19043658873201103, -0.05125746222237419, -0.018384624879170013, 0.04427418451757005, -0.1526645303023734, 0.09957260408095624, 0.012613685779653775, 0.06253454523577698, -0.06046437384142528, 0.0003801328719801907, -0.041181868461487615, 0.06974630541337415, 0.15703530796638102, 0.028284496575667475, 0.09954617384478058, -0.1587331604341192, -0.10436769366328678, 0.429946353119847, -0.001923817893073551, -0.022310708778509013, 0.1386198350488772, -0.16186631585802197, -0.1943217545539435, 0.17076479478151, 0.09796251950932569, 0.05703573785783527, -0.11823824447310471, 0.04312252529244257, 0.0166014447673469, 0.19761721121750797, 0.0491515710508745, 0.05905486832795616, 0.29061582237543343, 0.10827518637463647, -0.03050491394854984, 0.10339680911381852, -0.182114634220182, -0.012340058315251218, -0.3414216289774662, -0.08302432400676862, -0.1315417000748168, 0.10335227765378811, -0.08460266176418947, -0.12404720854063175, 0.38870439056527656, 0.07813013345386073, 0.19572599322878217, 0.05669327224313747, 0.33188044625383456, 0.10076174710564756, 0.058476861474398324, 0.11975382221249961, 0.3319663974015336, 0.07420489342276644, 0.09871375900509424, -0.16620214479725723, 0.11856698389103833, -0.022766601864101465] |
710.5286 | Modeling the Gas Flow in the Bar of NGC 1365 | We present new observations of the strongly-barred galaxy NGC 1365, including
new photometric images and Fabry-Perot spectroscopy, as well as a detailed
re-analysis of the neutral hydrogen observations from the VLA archive. We find
the galaxy to be at once remarkably bi-symmetric in its I-band light
distribution and strongly asymmetric in the distribution of dust and in the
kinematics of the gas in the bar region. The velocity field mapped in the
H-alpha line reveals bright HII regions with velocities that differ by 60 to 80
km/s from that of the surrounding gas, which may be due to remnants of
infalling material. We have attempted hydrodynamic simulations of the bar flow
to estimate the separate disk and halo masses, using two different dark matter
halo models and covering a wide range of mass-to-light ratios (Upsilon) and bar
pattern speeds (Omega_p). None of our models provides a compelling fit to the
data, but they seem most nearly consistent with a fast bar, corotation at sim
1.2r_B, and Upsilon_I simeq 2.0 +- 1.0, implying a massive, but not fully
maximal, disk. The fitted dark halos are unusually concentrated, a requirement
driven by the declining outer rotation curve.
| astro-ph | we present new observations of the stronglybarred galaxy ngc 1365 including new photometric images and fabryperot spectroscopy as well as a detailed reanalysis of the neutral hydrogen observations from the vla archive we find the galaxy to be at once remarkably bisymmetric in its iband light distribution and strongly asymmetric in the distribution of dust and in the kinematics of the gas in the bar region the velocity field mapped in the halpha line reveals bright hii regions with velocities that differ by 60 to 80 kms from that of the surrounding gas which may be due to remnants of infalling material we have attempted hydrodynamic simulations of the bar flow to estimate the separate disk and halo masses using two different dark matter halo models and covering a wide range of masstolight ratios upsilon and bar pattern speeds omega_p none of our models provides a compelling fit to the data but they seem most nearly consistent with a fast bar corotation at sim 12r_b and upsilon_i simeq 20 10 implying a massive but not fully maximal disk the fitted dark halos are unusually concentrated a requirement driven by the declining outer rotation curve | [['we', 'present', 'new', 'observations', 'of', 'the', 'stronglybarred', 'galaxy', 'ngc', '1365', 'including', 'new', 'photometric', 'images', 'and', 'fabryperot', 'spectroscopy', 'as', 'well', 'as', 'a', 'detailed', 'reanalysis', 'of', 'the', 'neutral', 'hydrogen', 'observations', 'from', 'the', 'vla', 'archive', 'we', 'find', 'the', 'galaxy', 'to', 'be', 'at', 'once', 'remarkably', 'bisymmetric', 'in', 'its', 'iband', 'light', 'distribution', 'and', 'strongly', 'asymmetric', 'in', 'the', 'distribution', 'of', 'dust', 'and', 'in', 'the', 'kinematics', 'of', 'the', 'gas', 'in', 'the', 'bar', 'region', 'the', 'velocity', 'field', 'mapped', 'in', 'the', 'halpha', 'line', 'reveals', 'bright', 'hii', 'regions', 'with', 'velocities', 'that', 'differ', 'by', '60', 'to', '80', 'kms', 'from', 'that', 'of', 'the', 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710.5287 | Paraxial Hamiltonian for photons in two-dimensional photonic crystal
microstructures | New solid-state physics based approach is developed for analysis of the
paraxial light propagation in two-dimensional (2D) photonic lattices of coupled
dielectric waveguides or microcavities. In particular, using Maxwell's
equations, a non-Hermitian Hamiltonian eigenproblem with respect to the spinor
wave function of a photon is obtained for energy-dissipating photonic
microstructures. The Hamiltonian is suitable for almost the entire subclass of
2D structures encompassing arrays of semiconductor microcavities and
microstructured photonic crystal fibers, characterized by light propagating
mostly normal to the periodic lattice plane. Methods of numerical solution are
discussed and the formalism is applied to a square array of coupled
semiconductor microcavities, revealing reach possibilities for tailoring
photonic band structure both in the photon energy and photon lifetime energy
broadening domains. In particular, a feasibility to open a double photonic
crystal band gap simultaneously in the energy and lifetime energy broadening
domains is demonstrated.
| quant-ph | new solidstate physics based approach is developed for analysis of the paraxial light propagation in twodimensional 2d photonic lattices of coupled dielectric waveguides or microcavities in particular using maxwells equations a nonhermitian hamiltonian eigenproblem with respect to the spinor wave function of a photon is obtained for energydissipating photonic microstructures the hamiltonian is suitable for almost the entire subclass of 2d structures encompassing arrays of semiconductor microcavities and microstructured photonic crystal fibers characterized by light propagating mostly normal to the periodic lattice plane methods of numerical solution are discussed and the formalism is applied to a square array of coupled semiconductor microcavities revealing reach possibilities for tailoring photonic band structure both in the photon energy and photon lifetime energy broadening domains in particular a feasibility to open a double photonic crystal band gap simultaneously in the energy and lifetime energy broadening domains is demonstrated | [['new', 'solidstate', 'physics', 'based', 'approach', 'is', 'developed', 'for', 'analysis', 'of', 'the', 'paraxial', 'light', 'propagation', 'in', 'twodimensional', '2d', 'photonic', 'lattices', 'of', 'coupled', 'dielectric', 'waveguides', 'or', 'microcavities', 'in', 'particular', 'using', 'maxwells', 'equations', 'a', 'nonhermitian', 'hamiltonian', 'eigenproblem', 'with', 'respect', 'to', 'the', 'spinor', 'wave', 'function', 'of', 'a', 'photon', 'is', 'obtained', 'for', 'energydissipating', 'photonic', 'microstructures', 'the', 'hamiltonian', 'is', 'suitable', 'for', 'almost', 'the', 'entire', 'subclass', 'of', '2d', 'structures', 'encompassing', 'arrays', 'of', 'semiconductor', 'microcavities', 'and', 'microstructured', 'photonic', 'crystal', 'fibers', 'characterized', 'by', 'light', 'propagating', 'mostly', 'normal', 'to', 'the', 'periodic', 'lattice', 'plane', 'methods', 'of', 'numerical', 'solution', 'are', 'discussed', 'and', 'the', 'formalism', 'is', 'applied', 'to', 'a', 'square', 'array', 'of', 'coupled', 'semiconductor', 'microcavities', 'revealing', 'reach', 'possibilities', 'for', 'tailoring', 'photonic', 'band', 'structure', 'both', 'in', 'the', 'photon', 'energy', 'and', 'photon', 'lifetime', 'energy', 'broadening', 'domains', 'in', 'particular', 'a', 'feasibility', 'to', 'open', 'a', 'double', 'photonic', 'crystal', 'band', 'gap', 'simultaneously', 'in', 'the', 'energy', 'and', 'lifetime', 'energy', 'broadening', 'domains', 'is', 'demonstrated']] | [-0.15825683493959433, 0.16851660708602545, -0.00956371699511591, -0.0045056697522846256, -0.06494637716483946, -0.17586439682377708, -0.0024179949088849956, 0.4882638517172179, -0.2502268949109647, -0.2649552330246176, 0.025560208860648952, -0.2713386408092144, -0.11556223931418369, 0.24966693384825098, 0.05457634981333589, 0.14195958477850784, 0.051500158397377364, -0.10293742639542972, -0.06653663661563769, -0.13770858615397527, 0.27426015364471823, 0.017821504606723063, 0.35072842594106785, 0.058651763355656944, 0.08314747041893294, 0.035657900301480874, 0.07404192803531057, -0.028507960568984143, -0.11495781525283949, 0.1380385425856932, 0.2614924876171345, -0.06755138948533891, 0.22625021742068283, -0.44954812030967634, -0.2569519961123458, 0.023980032723759197, 0.1614727336661114, 0.14036141093755658, -0.08676685836690012, -0.2984223950964709, -0.012212672089743946, -0.09493709595194054, -0.20890418603408356, -0.04354735676962365, -0.040926041116310645, 0.023452459485270083, -0.19940392359543088, 0.02161144565131205, 0.02651539142405252, 0.021973401042891458, -0.06323346912864104, -0.04204599739104095, -0.0323772657623825, -0.01552624503933152, -0.07283793734839289, -0.022686188224017516, 0.1212526248521802, -0.11986909264426988, -0.1492564815594556, 0.43126906669284737, -0.05350328482260617, -0.2040196818480682, 0.10733684360618806, -0.13840014852010224, 0.001502710216704549, 0.19371485885413778, 0.1837365106063468, 0.07803683633553898, -0.14028840786300456, 0.11802548499771445, -0.0214936599205531, 0.20458267146912273, 0.10435404501428518, 0.13279365520833786, 0.23145608809621385, 0.24117576964716944, 0.020148647580451023, 0.1609948840098999, -0.0712145480089627, -0.09943636072178681, -0.24592780015276125, -0.1849139393095306, -0.24417298465414206, 0.055309064748851396, -0.0675418410323295, -0.22807424393896428, 0.45145164255518466, 0.043656454580034025, 0.07148669356764811, -0.0459193342895661, 0.23735161057346785, 0.1321176953303317, 0.08798919121100982, 0.027423302678572428, 0.2864476677770856, 0.23126486190206683, 0.11526673243497498, -0.22622401588079002, -0.09857526520742492, -0.010026394704861255] |
710.5288 | BCS-BEC crossover in a strongly correlated Fermi gas | We study the BCS-BEC crossover in the strongly correlated regime of an
ultra-cold rotating two component Fermi gas. Strong correlations are shown to
generate an additional long-range interaction which results in a modified
crossover region compared to the non-rotating situation. The two-particle
correlation function reveals a smooth crossover between the s-wave paired
fermionic fractional quantum Hall state and the bosonic Laughlin state.
| cond-mat.mes-hall | we study the bcsbec crossover in the strongly correlated regime of an ultracold rotating two component fermi gas strong correlations are shown to generate an additional longrange interaction which results in a modified crossover region compared to the nonrotating situation the twoparticle correlation function reveals a smooth crossover between the swave paired fermionic fractional quantum hall state and the bosonic laughlin state | [['we', 'study', 'the', 'bcsbec', 'crossover', 'in', 'the', 'strongly', 'correlated', 'regime', 'of', 'an', 'ultracold', 'rotating', 'two', 'component', 'fermi', 'gas', 'strong', 'correlations', 'are', 'shown', 'to', 'generate', 'an', 'additional', 'longrange', 'interaction', 'which', 'results', 'in', 'a', 'modified', 'crossover', 'region', 'compared', 'to', 'the', 'nonrotating', 'situation', 'the', 'twoparticle', 'correlation', 'function', 'reveals', 'a', 'smooth', 'crossover', 'between', 'the', 'swave', 'paired', 'fermionic', 'fractional', 'quantum', 'hall', 'state', 'and', 'the', 'bosonic', 'laughlin', 'state']] | [-0.20756002992387831, 0.2615999338417051, -0.11480068858532656, 0.12455779074450894, -1.501440701465453e-05, -0.2101361463597465, -0.0002632824058133748, 0.3144532107417622, -0.24792782043016726, -0.20560817645802612, -0.1030891934717675, -0.36376895136650533, -0.09564739009065013, 0.13757694530631265, 0.08983563266332156, 0.050682383334083904, -0.01870725604314958, -0.02590874402273086, -0.15261700264208258, -0.22203960862656635, 0.36865235877133185, -0.025918539097127054, 0.31255141639661405, 0.07953849419831269, 0.0081537313038303, -0.012892938699693449, 0.07696326828050998, -0.019705452250256654, -0.12361168548194391, -0.001175998154306604, 0.26993981347843676, -0.12450873474740694, 0.19292385024469225, -0.39293382812531724, -0.21347317050000833, 0.06352906827364237, 0.1896313623780565, 0.16694694637854193, -0.0251824461344269, -0.3793205561176423, -0.12403731545313232, -0.26585854729637504, -0.13909661690253886, -0.0960570867323587, 0.01799551998415301, -0.05042469818163813, -0.2606519995925708, 0.16109019229488988, 0.07643742665588375, 0.04947660705675521, -0.0720149680827519, -0.07141727314240509, 0.004179033931464919, 0.05230380777239559, -0.0063513766433442795, 0.10540890924617528, 0.13101263835485424, -0.24059717549713358, -0.06449203920126292, 0.3141764689296965, -0.12338357406382959, -0.16310743293574742, 0.2575298896389863, -0.20762289985413512, -0.04162804667477406, 0.16450279345735908, 0.11014602995748, 0.049345918255107056, -0.13034588649057813, 0.02017441934496615, -0.09615760584992747, 0.202441458836303, -0.017379949432647517, 0.08922716578648936, 0.2752773222783881, 0.11694573156625754, 0.044025907292962074, 0.22971150552808878, -0.1496522667343191, -0.21210235479332867, -0.2873840155981241, -0.1324098716234608, -0.239614850180524, 0.007911866763606668, -0.020438862250762947, -0.18898548286609096, 0.3588532947169076, 0.11928368712429918, 0.22255966894989532, -0.025771480314658896, 0.20400669344610745, 0.1437852864544238, -0.019945901037464218, 0.05506135294995, 0.25098616351944303, 0.16992057133616217, 0.0805973581699354, -0.3754899792050222, -0.029766403649362824, 0.047109114937484264] |
710.5289 | Simplicial resolutions and Ganea fibrations | In this work, we compare the two approximations of a path-connected space
$X$, by the Ganea spaces $G_n(X)$ and by the realizations $\|\Lambda_\bullet
X\|_{n}$ of the truncated simplicial resolutions emerging from the
loop-suspension cotriple $\Sigma\Omega$. For a simply connected space $X$, we
construct maps $\|\Lambda_\bullet X\|_{n-1}\to G_n(X)\to \|\Lambda_\bullet
X\|_{n}$ over $X$, up to homotopy. In the case $n=2$, we prove the existence of
a map $G_2(X)\to\|\Lambda_\bullet X\|_{1}$ over $X$ (up to homotopy) and
conjecture that this map exists for any $n$.
| math.AT | in this work we compare the two approximations of a pathconnected space x by the ganea spaces g_nx and by the realizations lambda_bullet x_n of the truncated simplicial resolutions emerging from the loopsuspension cotriple sigmaomega for a simply connected space x we construct maps lambda_bullet x_n1to g_nxto lambda_bullet x_n over x up to homotopy in the case n2 we prove the existence of a map g_2xtolambda_bullet x_1 over x up to homotopy and conjecture that this map exists for any n | [['in', 'this', 'work', 'we', 'compare', 'the', 'two', 'approximations', 'of', 'a', 'pathconnected', 'space', 'x', 'by', 'the', 'ganea', 'spaces', 'g_nx', 'and', 'by', 'the', 'realizations', 'lambda_bullet', 'x_n', 'of', 'the', 'truncated', 'simplicial', 'resolutions', 'emerging', 'from', 'the', 'loopsuspension', 'cotriple', 'sigmaomega', 'for', 'a', 'simply', 'connected', 'space', 'x', 'we', 'construct', 'maps', 'lambda_bullet', 'x_n1to', 'g_nxto', 'lambda_bullet', 'x_n', 'over', 'x', 'up', 'to', 'homotopy', 'in', 'the', 'case', 'n2', 'we', 'prove', 'the', 'existence', 'of', 'a', 'map', 'g_2xtolambda_bullet', 'x_1', 'over', 'x', 'up', 'to', 'homotopy', 'and', 'conjecture', 'that', 'this', 'map', 'exists', 'for', 'any', 'n']] | [-0.16792514336041428, 0.08417885233466695, -0.07022470690146718, 0.027620520645317125, 0.029307162275767656, -0.09404740623476637, 0.028623394075442444, 0.39330809178774234, -0.34346762896430766, -0.16283136714165183, 0.08527342231593446, -0.2692215418678938, -0.12616357132611047, 0.17093957592309875, -0.11790905935181813, -0.037999767882676866, -0.00029384623003470434, 0.044095403357566176, -0.12813740168311089, -0.2917546513868351, 0.3794075418021772, -0.10571006348042132, 0.17344697364486902, -0.029927068232715903, 0.1942578356277633, -0.017269053562943424, 0.020754075016487728, -0.009723140677443233, -0.21173756975159366, 0.15831404386160822, 0.2996725509451194, 0.07577684075063602, 0.21675990818237717, -0.31250419467687607, -0.15550346101948678, 0.22266518256956613, 0.15263463718840828, -0.03461414874325712, 0.02889960979764628, -0.27606628387380244, 0.1416974787406817, -0.14343484420958277, -0.13662703567511075, -0.0850959224263569, 0.07338040833688014, 0.021809398305493517, -0.28429427550646, -0.05419338375100165, 0.07912808331334359, 0.058674697425555096, -0.03503829460929741, -0.07247517222853063, -0.06670126416297122, 0.09093010444617407, -0.0341735195320148, 0.13161359661464372, 0.03284437771789826, -0.05248080313133149, -0.09581075551883354, 0.34104184305005064, -0.09275548763167984, -0.2219865983231114, 0.089457334914281, -0.20001471962465286, -0.185993111142042, 0.16531813995196037, 0.05587230959012137, 0.18739614035789068, -0.008166732931775706, 0.23846523294243477, -0.13399003570984033, 0.11740736498545806, 0.11629162038156352, -0.026888793243651652, 0.13723589989429266, 0.1121534922873819, 0.1318067941911422, 0.12692539541036807, -0.024036610311550365, -0.01556079632938271, -0.3494258806012668, -0.18043628497073402, -0.15745862916886033, 0.20200514667606972, -0.14807603402968872, -0.1449484406583398, 0.3259578222263749, 0.12378787452826737, 0.24523357408840887, 0.1443866521071691, 0.2225327176553486, 0.011073174825929975, -0.007634876549921252, 0.054189228597883284, 0.05877724698103674, 0.1964346916148705, 0.02198939594778825, -0.09486156943641216, -0.04385484540351219, 0.17769320290414736] |
710.529 | p-adic L-functions and Selmer varieties associated to elliptic curves
with complex multiplication | We show how non-vanishing of p-adic L functions controls the dimensions of
Selmer varieties associated to the complement of the origin in an elliptic
curve with CM. As a corollary, one obtains a \pi_1-proof of the theorem of
Siegel for such curves.
| math.NT math.AG | we show how nonvanishing of padic l functions controls the dimensions of selmer varieties associated to the complement of the origin in an elliptic curve with cm as a corollary one obtains a pi_1proof of the theorem of siegel for such curves | [['we', 'show', 'how', 'nonvanishing', 'of', 'padic', 'l', 'functions', 'controls', 'the', 'dimensions', 'of', 'selmer', 'varieties', 'associated', 'to', 'the', 'complement', 'of', 'the', 'origin', 'in', 'an', 'elliptic', 'curve', 'with', 'cm', 'as', 'a', 'corollary', 'one', 'obtains', 'a', 'pi_1proof', 'of', 'the', 'theorem', 'of', 'siegel', 'for', 'such', 'curves']] | [-0.218301073216447, 0.0019955089597582317, -0.17926198634796026, 0.06428812812196046, -0.07162710965224882, -0.10799741451969234, -0.0034224485933053786, 0.24683705281193663, -0.30989986480917875, -0.22712296263382928, 0.07051946709738909, -0.25646559875912783, -0.13884986473656283, 0.314938724767871, -0.1413735426258205, 0.023217302082651634, -0.012587813864939096, 0.10128725697172851, -0.09878860317772573, -0.32147041571939866, 0.4264166020992689, -0.04756172053606772, 0.1671906805756252, 0.06723285807160342, 0.1207553774072993, 0.01852556558825621, -0.004299455481331523, -0.10101601190683318, -0.14409897708129593, 0.16138254337739655, 0.30304092335764593, 0.04767224683267314, 0.19101193465474176, -0.36334612679372474, -0.15847032571143313, 0.21127599121139543, 0.10371223023933608, -0.01585733100045018, 0.03747711923518559, -0.18103218287592981, 0.09063117764890194, -0.1332960697345254, -0.3068822921231026, -0.05249375008932519, 0.03689680581276373, 0.06823752965868973, -0.24135013746960862, 0.042134068997167956, 0.09391366374656195, 0.16986439062464165, -0.09576678579309728, -0.12297422642160843, -0.06990102716017424, 0.07331588453181632, 0.0738134495118951, 0.07923615285445278, 0.06569403277074055, -0.1632883842671063, -0.1495072043432695, 0.36596568171843524, -0.12480740851109348, -0.17752878436046401, 0.12680228674648011, -0.18305439086312927, -0.1432439583330983, 0.10640580207109451, 0.13449075656784018, 0.143206331197445, 0.03136519887825338, 0.13499832893835334, -0.14447399044818268, 0.10002176160356258, 0.10405134183082093, -0.022731022409549575, 0.13633670253542865, 0.045289523147114714, 0.09553268608614439, 0.18014185185396545, -0.04585679252660356, -0.009701169199571468, -0.41076357735366353, -0.22423703205294726, -0.12310911978526813, 0.15719112390425147, -0.15589177868578855, -0.17850595749006037, 0.42022412188532876, 0.046069250223454, 0.2521716637377877, 0.11365118391084962, 0.19818573308790602, 0.10755337131629902, 0.07590131041389413, 0.04737239610403776, 0.14676327512758533, 0.209597578703812, -0.009203201375629117, -0.17267597821064112, -0.04525442097744927, 0.1725978741660805] |
710.5291 | The real loci of the Calogero-Moser spaces and the Shapiro-Shapiro
conjecture | This paper has been withdrawn by the authors; it is superceeded by the paper:
The real loci of Calogero--Moser spaces, representations of rational Cherednik
algebras and the Shapiro conjecture, by Iain Gordon, Emil Horozov, and Milen
Yakimov, arXiv:0711.4336.
| math.CO math-ph math.AG math.MP math.RT | this paper has been withdrawn by the authors it is superceeded by the paper the real loci of calogeromoser spaces representations of rational cherednik algebras and the shapiro conjecture by iain gordon emil horozov and milen yakimov arxiv07114336 | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'it', 'is', 'superceeded', 'by', 'the', 'paper', 'the', 'real', 'loci', 'of', 'calogeromoser', 'spaces', 'representations', 'of', 'rational', 'cherednik', 'algebras', 'and', 'the', 'shapiro', 'conjecture', 'by', 'iain', 'gordon', 'emil', 'horozov', 'and', 'milen', 'yakimov', 'arxiv07114336']] | [-0.16510967515847264, 0.03336449874126736, -0.09876804682426155, 0.016791790504665935, -0.15251650277744322, -0.14270962988409927, -0.03840117462609401, 0.2638159935526988, -0.27186195935834856, -0.2435014013420133, 0.10036695124033619, -0.26005193146685246, -0.263367674423053, 0.17541383913553812, -0.23767576903543053, 0.031182279974660453, 0.0472088734865846, -0.031952314845779366, -0.048018507933353674, -0.41943596522597704, 0.4795561682652025, 0.05337708303020062, 0.18068181513808668, 0.08707727939712212, 0.0956378935747232, 0.05718536961221082, -0.06130845213363714, -0.10117074628086652, -0.15561647537876577, 0.1375653582953793, 0.29787472599213394, 0.07658438182518106, 0.2861816004288438, -0.3106809887925492, -0.12808840810184313, 0.186796560719171, 0.1916592665400137, 0.045500568826408946, -0.014182854717706932, -0.3913461834411411, 0.07937664209919817, -0.24651586045237148, -0.1592097993090968, -0.015968722181723398, 0.1550146591685274, 0.01516895297476474, -0.11236538161414072, 0.004877071498947985, 0.1329578679493245, 0.2055164404651698, -0.06769483889836599, -0.1181335617952487, -0.04092322865172344, 0.087276095743565, 0.025229822043055558, 0.061757587635999214, 0.0038248249055708155, -0.030917854726259762, -0.20744551230660258, 0.32990035616025765, 0.07288572181577739, -0.23716022819280624, 0.08035745877115165, -0.163361672873554, -0.16547289633137338, 0.0767577959169798, -0.006836945492335979, 0.1345422080005793, -0.09429890873348888, 0.28038998638101686, -0.1801357117262395, -0.029456394967650446, 0.2286752859568771, -0.15552671702907367, 0.11372944605810677, 0.03404382654630086, -0.056051532628343385, 0.09382501728010967, 0.06281664389569093, -0.008347792090396123, -0.24368973629658713, -0.23569347514935277, -0.15227042745990568, 0.102718293940758, 0.04330509339599624, -0.08769604010397897, 0.4096023937796845, 0.08879365213215351, 0.1395746489493724, 0.11535186736899264, 0.22762666516663396, 0.14069948901134707, 0.08389962848056765, -0.020969545044114486, 0.1599031002534663, 0.26365237104405154, 0.11051180964226232, -0.12283392351202886, 0.03756287633715307, 0.29878278010908293] |
710.5292 | Single Molecule Photon Statistics from a Sequence of Laser Pulses | There are many ways of calculating photon statistics in quantum optics in
general and single molecule spectroscopy in particular such as the generating
function method, the quantum jump approach or time ordering methods. In this
paper starting with the optical Bloch equation, within the paths interpretation
of Zoller, Marte and Walls we obtain the photon statistics from a sequence of
laser pulses expressed by means of quantum trajectories. We find general
expressions for Pn(t) - the probability of emitting n photons up to time t,
discuss several consequences and show that the interpretation of the quantum
trajectories (i) emphasizes contribution to the photon statistics of the
coherence paths accumulated in the delay interval between the pulses and (ii)
allows simple classification of the terms negligible under certain physical
constraints . Applying this method to the concrete example of two square laser
pulses we find the probabilities of emitting 0,1 and 2 photons, examine several
limiting cases and investigate the upper and lower bounds of P0(t), P1(t) and
P2(t) for a sequence of two strong pulses in the limit of long measurement
times. Implication to single molecule non-linear spectroscopy and theory of
pairs of photons on demand are discussed briefly.
| physics.optics physics.chem-ph | there are many ways of calculating photon statistics in quantum optics in general and single molecule spectroscopy in particular such as the generating function method the quantum jump approach or time ordering methods in this paper starting with the optical bloch equation within the paths interpretation of zoller marte and walls we obtain the photon statistics from a sequence of laser pulses expressed by means of quantum trajectories we find general expressions for pnt the probability of emitting n photons up to time t discuss several consequences and show that the interpretation of the quantum trajectories i emphasizes contribution to the photon statistics of the coherence paths accumulated in the delay interval between the pulses and ii allows simple classification of the terms negligible under certain physical constraints applying this method to the concrete example of two square laser pulses we find the probabilities of emitting 01 and 2 photons examine several limiting cases and investigate the upper and lower bounds of p0t p1t and p2t for a sequence of two strong pulses in the limit of long measurement times implication to single molecule nonlinear spectroscopy and theory of pairs of photons on demand are discussed briefly | [['there', 'are', 'many', 'ways', 'of', 'calculating', 'photon', 'statistics', 'in', 'quantum', 'optics', 'in', 'general', 'and', 'single', 'molecule', 'spectroscopy', 'in', 'particular', 'such', 'as', 'the', 'generating', 'function', 'method', 'the', 'quantum', 'jump', 'approach', 'or', 'time', 'ordering', 'methods', 'in', 'this', 'paper', 'starting', 'with', 'the', 'optical', 'bloch', 'equation', 'within', 'the', 'paths', 'interpretation', 'of', 'zoller', 'marte', 'and', 'walls', 'we', 'obtain', 'the', 'photon', 'statistics', 'from', 'a', 'sequence', 'of', 'laser', 'pulses', 'expressed', 'by', 'means', 'of', 'quantum', 'trajectories', 'we', 'find', 'general', 'expressions', 'for', 'pnt', 'the', 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'molecule', 'nonlinear', 'spectroscopy', 'and', 'theory', 'of', 'pairs', 'of', 'photons', 'on', 'demand', 'are', 'discussed', 'briefly']] | [-0.12267626677737785, 0.15917264513804444, -0.06745098378955938, 0.0683372924223124, 0.0109855392947793, -0.12302876260055572, 0.09122370517746146, 0.39818416324406103, -0.24659501838887452, -0.3181624172839849, 0.043592911514178, -0.2762451238220597, -0.09922349927899408, 0.2443050543233581, -0.010184479435449657, 0.06608588722824328, 0.04032731036553444, 0.023038472239004106, -0.060771527782092064, -0.19814917999105908, 0.27195487869554497, 0.012442554188036949, 0.262019283950747, 0.06575466427513711, 0.1341503548782737, 0.037034337590591104, -0.02663706298394851, -0.04268296693958384, -0.14147917949910097, 0.10776822466631325, 0.21329838407881635, 0.10617992941917358, 0.24320062592017408, -0.4373201499407997, -0.19397110274840831, 0.10111627021414817, 0.12947299079589394, 0.12194382660185957, -0.034503536905151344, -0.2679042458743313, 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710.5293 | A note on Berestycki-Cazenave's classical instability result for
nonlinear Schr\"odinger equations | In this note we give an alternative, shorter proof of the classical result of
Berestycki and Cazenave on the instability by blow-up for the standing waves of
some nonlinear Schr\"odinger equations.
| math.AP | in this note we give an alternative shorter proof of the classical result of berestycki and cazenave on the instability by blowup for the standing waves of some nonlinear schrodinger equations | [['in', 'this', 'note', 'we', 'give', 'an', 'alternative', 'shorter', 'proof', 'of', 'the', 'classical', 'result', 'of', 'berestycki', 'and', 'cazenave', 'on', 'the', 'instability', 'by', 'blowup', 'for', 'the', 'standing', 'waves', 'of', 'some', 'nonlinear', 'schrodinger', 'equations']] | [-0.16823566862712463, 0.08445612949951957, -0.10508695587275489, 0.09503605816468236, -0.11665475380516821, -0.08932137849830812, -0.019463240018775387, 0.22370212672338372, -0.27161235410359597, -0.20425279504589497, 0.13314648879872215, -0.2396940468780456, -0.17788068259194975, 0.2566641968104147, -0.07897978167860739, 0.05885957022227587, 0.04329957674828268, -0.04652867075656691, 0.012454291249835683, -0.2530315374775279, 0.36612850449408496, 0.015992581333604552, 0.1780889243969033, 0.06799985894993428, 0.07357754408111496, 0.026012307648817377, -0.029472521806676543, -0.08825089145571954, -0.26254214791040265, 0.08333541098381242, 0.19217056294362392, 0.08879486122919668, 0.29887192358352965, -0.504450703700704, -0.21030681578802965, 0.03538627981118137, 0.1705472848618463, 0.1977825730798706, -0.06708644940743162, -0.3280686095447069, 0.030332460398635557, -0.09177566026788085, -0.22198652435514715, 0.024399229505610083, 0.09550421600860934, 0.059801878677981514, -0.19808986452558347, 0.13786382946155726, 0.23959021675851075, 0.07349991555055303, -0.11101866831942912, -0.05162118112428054, 0.046295120050349546, -0.056497335238682646, 0.09025712166312, 0.02931978723274604, -0.06776484986767173, -0.09061440434156647, -0.12752190064038, 0.3253170240430101, -0.11374920246101194, -0.19297072219271813, 0.19474258237788755, -0.0795955361588107, -0.08014666751748131, 0.09642265295054042, 0.11772875272999367, 0.17754206337755726, -0.08847890313594572, 0.08456926609412016, -0.09172794720037811, 0.11374676702994733, 0.19556102616291854, 0.025844701310439457, 0.09033105942991472, 0.15028882544908312, 0.1110343499289405, 0.1228554452799501, 0.036073043093746225, -0.046450988104146336, -0.371914959242267, -0.17693747288637585, -0.10619722215098239, 0.1635578106487951, -0.09630042380576337, -0.19960796718125143, 0.4243813977847176, 0.15776123990297258, 0.14424283886628766, 0.10036831910932256, 0.21758093060024322, 0.20486998792377212, -0.05827532938471244, 0.03932374606149331, 0.2753217123390641, 0.1744813979227817, 0.1314050117958217, -0.24066716654887121, -0.010298908492850681, 0.19508276696527196] |
710.5294 | Habitable planets around the star Gl 581? | Radial velocity surveys are now able to detect terrestrial planets at
habitable distance from M-type stars. Recently, two planets with minimum masses
below 10 Earth masses were reported in a triple system around the M-type star
Gliese 581. Using results from atmospheric models and constraints from the
evolution of Venus and Mars, we assess the habitability of planets Gl 581c and
Gl 581d and we discuss the uncertainties affecting the habitable zone (HZ)
boundaries determination. We provide simplified formulae to estimate the HZ
limits that may be used to evaluate the astrobiological potential of
terrestrial exoplanets that will hopefully be discovered in the near future.
Planets Gl 581c and 'd' are near, but outside, what can be considered as the
conservative HZ. Planet 'c' receives 30% more energy from its star than Venus
from the Sun, with an increased radiative forcing caused by the spectral energy
distribution of Gl 581. Its habitability cannot however be positively ruled out
by theoretical models due to uncertainties affecting cloud properties.
Irradiation conditions of planet 'd' are comparable with those of early Mars.
Thanks to the warming effect of CO2-ice clouds planet 'd' might be a better
candidate for the first exoplanet known to be potentially habitable. A mixture
of various greenhouse gases could also maintain habitable conditions on this
planet.
| astro-ph | radial velocity surveys are now able to detect terrestrial planets at habitable distance from mtype stars recently two planets with minimum masses below 10 earth masses were reported in a triple system around the mtype star gliese 581 using results from atmospheric models and constraints from the evolution of venus and mars we assess the habitability of planets gl 581c and gl 581d and we discuss the uncertainties affecting the habitable zone hz boundaries determination we provide simplified formulae to estimate the hz limits that may be used to evaluate the astrobiological potential of terrestrial exoplanets that will hopefully be discovered in the near future planets gl 581c and d are near but outside what can be considered as the conservative hz planet c receives 30 more energy from its star than venus from the sun with an increased radiative forcing caused by the spectral energy distribution of gl 581 its habitability cannot however be positively ruled out by theoretical models due to uncertainties affecting cloud properties irradiation conditions of planet d are comparable with those of early mars thanks to the warming effect of co2ice clouds planet d might be a better candidate for the first exoplanet known to be potentially habitable a mixture of various greenhouse gases could also maintain habitable conditions on this planet | [['radial', 'velocity', 'surveys', 'are', 'now', 'able', 'to', 'detect', 'terrestrial', 'planets', 'at', 'habitable', 'distance', 'from', 'mtype', 'stars', 'recently', 'two', 'planets', 'with', 'minimum', 'masses', 'below', '10', 'earth', 'masses', 'were', 'reported', 'in', 'a', 'triple', 'system', 'around', 'the', 'mtype', 'star', 'gliese', '581', 'using', 'results', 'from', 'atmospheric', 'models', 'and', 'constraints', 'from', 'the', 'evolution', 'of', 'venus', 'and', 'mars', 'we', 'assess', 'the', 'habitability', 'of', 'planets', 'gl', '581c', 'and', 'gl', '581d', 'and', 'we', 'discuss', 'the', 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710.5295 | Act globally, compute locally: group actions, fixed points, and
localization | Localization is a topological technique that allows us to make global
equivariant computations in terms of local data at the fixed points. For
example, we may compute a global integral by summing integrals at each of the
fixed points. Or, if we know that the global integral is zero, we conclude that
the sum of the local integrals is zero. This often turns topological questions
into combinatorial ones and vice versa. This expository article features
several instances of localization that occur at the crossroads of symplectic
and algebraic geometry on the one hand, and combinatorics and representation
theory on the other. The examples come largely from the symplectic category,
with particular attention to toric varieties. In the spirit of the 2006
International Conference on Toric Topology at Osaka City University, the main
goal of this exposition is to exhibit toric techniques that arise in symplectic
geometry.
| math.SG math.AG | localization is a topological technique that allows us to make global equivariant computations in terms of local data at the fixed points for example we may compute a global integral by summing integrals at each of the fixed points or if we know that the global integral is zero we conclude that the sum of the local integrals is zero this often turns topological questions into combinatorial ones and vice versa this expository article features several instances of localization that occur at the crossroads of symplectic and algebraic geometry on the one hand and combinatorics and representation theory on the other the examples come largely from the symplectic category with particular attention to toric varieties in the spirit of the 2006 international conference on toric topology at osaka city university the main goal of this exposition is to exhibit toric techniques that arise in symplectic geometry | [['localization', 'is', 'a', 'topological', 'technique', 'that', 'allows', 'us', 'to', 'make', 'global', 'equivariant', 'computations', 'in', 'terms', 'of', 'local', 'data', 'at', 'the', 'fixed', 'points', 'for', 'example', 'we', 'may', 'compute', 'a', 'global', 'integral', 'by', 'summing', 'integrals', 'at', 'each', 'of', 'the', 'fixed', 'points', 'or', 'if', 'we', 'know', 'that', 'the', 'global', 'integral', 'is', 'zero', 'we', 'conclude', 'that', 'the', 'sum', 'of', 'the', 'local', 'integrals', 'is', 'zero', 'this', 'often', 'turns', 'topological', 'questions', 'into', 'combinatorial', 'ones', 'and', 'vice', 'versa', 'this', 'expository', 'article', 'features', 'several', 'instances', 'of', 'localization', 'that', 'occur', 'at', 'the', 'crossroads', 'of', 'symplectic', 'and', 'algebraic', 'geometry', 'on', 'the', 'one', 'hand', 'and', 'combinatorics', 'and', 'representation', 'theory', 'on', 'the', 'other', 'the', 'examples', 'come', 'largely', 'from', 'the', 'symplectic', 'category', 'with', 'particular', 'attention', 'to', 'toric', 'varieties', 'in', 'the', 'spirit', 'of', 'the', '2006', 'international', 'conference', 'on', 'toric', 'topology', 'at', 'osaka', 'city', 'university', 'the', 'main', 'goal', 'of', 'this', 'exposition', 'is', 'to', 'exhibit', 'toric', 'techniques', 'that', 'arise', 'in', 'symplectic', 'geometry']] | [-0.12978716307058166, 0.05082247552560795, -0.13147033620083526, 0.09705964117773414, -0.10868289168247927, -0.12352891756247168, 0.039399970293344855, 0.3010632342735484, -0.3153802054361695, -0.2526994395478029, 0.12667257403109655, -0.29085045115081737, -0.19354719844206605, 0.17880256473858624, -0.14545509112003732, -0.039883597498785145, 0.06322068776871549, 0.06641371249642274, -0.11156763055130373, -0.3130099055608846, 0.39878329932881035, 0.02463419058309128, 0.2791277946687418, 0.07604606088716537, 0.10622897842493903, 0.02708651353158567, -0.0540736692029447, -0.007868038031132254, -0.12118965962130061, 0.15407967610820517, 0.32299317039345227, 0.07615396589812606, 0.21895164881006826, -0.4338436822457979, -0.1362182599658223, 0.12117164047779388, 0.10726859285225071, 0.09082999005148264, 0.015926813815994673, -0.2609794526424718, 0.08943612630836258, -0.1270016250072991, -0.15950891701823533, -0.07776348715271698, 0.014475142197326233, 0.010309696784370567, -0.1828304324554254, -0.030681493312554205, 0.09433438283812305, 0.12099655934175706, -0.029950905229644338, -0.09792613257153265, -0.03735733608402669, 0.13406084599898338, 0.03882806818474408, 0.05615677896644665, 0.10824613386688575, -0.12253962302012751, -0.13617201264284245, 0.36823436079789207, -0.006064362944564654, -0.20001491391712367, 0.19785435141179047, -0.15040294333259027, -0.1942595768853869, 0.14052173314769179, 0.13904623010304235, 0.11301689730855087, -0.06832654110143242, 0.1547338256679399, -0.07314283944896027, 0.0694974216230673, 0.07236291699698322, 0.010585356216673574, 0.20393725147802536, 0.0820042831402221, 0.09873007365170713, 0.11431300291537996, -0.04532245266345355, -0.1320960604432613, -0.3336895722449336, -0.13584124132646375, -0.16104994977071677, 0.10783604045449564, -0.05784628240428291, -0.1562613662091492, 0.4272897852814361, 0.12403814253247382, 0.1916464972086506, 0.05150478054794853, 0.27686812979972936, 0.07825900195644887, 0.04172678146358222, 0.05963990042840883, 0.16481689224577803, 0.1291026318311645, 0.08307464044120112, -0.14794860187557538, -0.011238727930690837, 0.17733594806456607] |
710.5296 | Non-Fermi-Liquid Behavior from the Fermi-Liquid Approach | Non-Fermi liquid behavior of strongly correlated Fermi systems is derived
within the Landau approach. We attribute this behavior to a phase transition
associated with a rearrangement of the Landau state that leads to flattening of
a portion of the single-particle spectrum $\epsilon({\bf p})$ in the vicinity
of the Fermi surface. We demonstrate that the quasiparticle subsystem
responsible for the flat spectrum possesses the same thermodynamic properties
as a gas of localized spins. Theoretical results compare favorably with
available experimental data. While departing radically from prevalent views on
the origin of non-Fermi-liquid behavior, the theory advanced here is
nevertheless a conservative one of in continuing to operate within the general
framework of Landau theory.
| cond-mat.str-el | nonfermi liquid behavior of strongly correlated fermi systems is derived within the landau approach we attribute this behavior to a phase transition associated with a rearrangement of the landau state that leads to flattening of a portion of the singleparticle spectrum epsilonbf p in the vicinity of the fermi surface we demonstrate that the quasiparticle subsystem responsible for the flat spectrum possesses the same thermodynamic properties as a gas of localized spins theoretical results compare favorably with available experimental data while departing radically from prevalent views on the origin of nonfermiliquid behavior the theory advanced here is nevertheless a conservative one of in continuing to operate within the general framework of landau theory | [['nonfermi', 'liquid', 'behavior', 'of', 'strongly', 'correlated', 'fermi', 'systems', 'is', 'derived', 'within', 'the', 'landau', 'approach', 'we', 'attribute', 'this', 'behavior', 'to', 'a', 'phase', 'transition', 'associated', 'with', 'a', 'rearrangement', 'of', 'the', 'landau', 'state', 'that', 'leads', 'to', 'flattening', 'of', 'a', 'portion', 'of', 'the', 'singleparticle', 'spectrum', 'epsilonbf', 'p', 'in', 'the', 'vicinity', 'of', 'the', 'fermi', 'surface', 'we', 'demonstrate', 'that', 'the', 'quasiparticle', 'subsystem', 'responsible', 'for', 'the', 'flat', 'spectrum', 'possesses', 'the', 'same', 'thermodynamic', 'properties', 'as', 'a', 'gas', 'of', 'localized', 'spins', 'theoretical', 'results', 'compare', 'favorably', 'with', 'available', 'experimental', 'data', 'while', 'departing', 'radically', 'from', 'prevalent', 'views', 'on', 'the', 'origin', 'of', 'nonfermiliquid', 'behavior', 'the', 'theory', 'advanced', 'here', 'is', 'nevertheless', 'a', 'conservative', 'one', 'of', 'in', 'continuing', 'to', 'operate', 'within', 'the', 'general', 'framework', 'of', 'landau', 'theory']] | [-0.13770260698064313, 0.16299115506782463, -0.13329932791280694, 0.07010766648558533, -0.01641377289862638, -0.12600697309660194, 0.07944541766378929, 0.30621012774229583, -0.23976173808997764, -0.26052769202319076, 0.00422342072956131, -0.3182313928513655, -0.1312945195989284, 0.17209956603723445, -0.015554376121144742, 0.016393720754422247, 0.009701614428195171, 0.022160027475495423, -0.12471972752246074, -0.1663599864529845, 0.35459121315411074, 0.06695456579992813, 0.32193510180721724, 0.04578624677378684, 0.03880594236397883, -0.015722850503932153, 0.07807319344803025, 0.044217002336933674, -0.10758275885915022, 0.1020409169640126, 0.2637870572632112, 0.010749133964834203, 0.2357446927780984, -0.4123197429580614, -0.23526405250387533, -0.014078224994591437, 0.12377346233863916, 0.11462205041191607, -0.04153364726120604, -0.26649551200846744, 0.027514389250427485, -0.1793289907239211, -0.2067245191179349, -0.07669503097089805, -0.033865650704163794, -0.028928671417556222, -0.18723016556967714, 0.14094129112241457, 0.05519279918891178, 0.03099255931114645, -0.12708377998621603, -0.08667662814488201, -0.04496043095631259, 0.10217731307160907, 0.06569201072228939, 0.042455189557845836, 0.15506213790753723, -0.14919624708584575, -0.10279016237473115, 0.41294450573955793, -0.08680517589839708, -0.11106183008191042, 0.2243851110750776, -0.2096182350048496, -0.1282833892286622, 0.2005822635526004, 0.1193238692857059, 0.07506415148964152, -0.11776655197848283, 0.10364612548437435, -0.0409533114309722, 0.1601387156988494, -0.01853576629530705, 0.07898390526627606, 0.2424816885052548, 0.18636617663391267, 0.035233530756418725, 0.13700819695908908, -0.11000036632685806, -0.13261888874278935, -0.29132055175224586, -0.10855554897404675, -0.2102668262003655, 0.028178469891177622, -0.014301433606306091, -0.20284092462471953, 0.42847339930345435, 0.15297098945926077, 0.21402777108180868, 0.029951669040851163, 0.23909760772533314, 0.12757136793827936, 0.036907154642644206, 0.06356777782119545, 0.2482709936448373, 0.09656741500241749, 0.08237331169948447, -0.28809606629355194, 0.04077083928028254, 0.028439490802286724] |
710.5297 | Deep inelastic scattering off a N=4 SYM plasma at strong coupling | By using the AdS/CFT correspondence we study the deep inelastic scattering of
an R-current off a N=4 supersymmetric Yang-Mills (SYM) plasma at finite
temperature and strong coupling. Within the supergravity approximation valid
when the number of colors is large, we compute the structure functions by
solving Maxwell equations in the space-time geometry of the AdS_5 black
three-brane. We find a rather sharp transition between a low energy regime
where the scattering is weak and quasi-elastic, and a high-energy regime where
the current is completely absorbed. The critical energy for this transition
determines the plasma saturation momentum in terms of its temperature T and the
Bjorken x variable: Q_s=T/x. These results suggest a partonic picture for the
plasma where all the partons have transverse momenta below the saturation
momentum and occupation numbers of order one.
| hep-th hep-ph | by using the adscft correspondence we study the deep inelastic scattering of an rcurrent off a n4 supersymmetric yangmills sym plasma at finite temperature and strong coupling within the supergravity approximation valid when the number of colors is large we compute the structure functions by solving maxwell equations in the spacetime geometry of the ads_5 black threebrane we find a rather sharp transition between a low energy regime where the scattering is weak and quasielastic and a highenergy regime where the current is completely absorbed the critical energy for this transition determines the plasma saturation momentum in terms of its temperature t and the bjorken x variable q_stx these results suggest a partonic picture for the plasma where all the partons have transverse momenta below the saturation momentum and occupation numbers of order one | [['by', 'using', 'the', 'adscft', 'correspondence', 'we', 'study', 'the', 'deep', 'inelastic', 'scattering', 'of', 'an', 'rcurrent', 'off', 'a', 'n4', 'supersymmetric', 'yangmills', 'sym', 'plasma', 'at', 'finite', 'temperature', 'and', 'strong', 'coupling', 'within', 'the', 'supergravity', 'approximation', 'valid', 'when', 'the', 'number', 'of', 'colors', 'is', 'large', 'we', 'compute', 'the', 'structure', 'functions', 'by', 'solving', 'maxwell', 'equations', 'in', 'the', 'spacetime', 'geometry', 'of', 'the', 'ads_5', 'black', 'threebrane', 'we', 'find', 'a', 'rather', 'sharp', 'transition', 'between', 'a', 'low', 'energy', 'regime', 'where', 'the', 'scattering', 'is', 'weak', 'and', 'quasielastic', 'and', 'a', 'highenergy', 'regime', 'where', 'the', 'current', 'is', 'completely', 'absorbed', 'the', 'critical', 'energy', 'for', 'this', 'transition', 'determines', 'the', 'plasma', 'saturation', 'momentum', 'in', 'terms', 'of', 'its', 'temperature', 't', 'and', 'the', 'bjorken', 'x', 'variable', 'q_stx', 'these', 'results', 'suggest', 'a', 'partonic', 'picture', 'for', 'the', 'plasma', 'where', 'all', 'the', 'partons', 'have', 'transverse', 'momenta', 'below', 'the', 'saturation', 'momentum', 'and', 'occupation', 'numbers', 'of', 'order', 'one']] | [-0.12374878936461207, 0.25440156911563255, -0.0822665214055407, 0.1061692771351287, -0.03148463063985389, -0.08508712273175106, 0.016769992726805964, 0.3120860186601548, -0.20215673410662807, -0.24218921263219045, 0.012720730183716108, -0.31477254966652035, -0.05431912893331364, 0.1045247099530372, 0.0452770221386721, 0.032159085892739574, -0.024549577990896944, 0.030457978681276057, -0.09294818372717757, -0.18931444856527269, 0.34419356366353376, 0.021779350757632137, 0.2715445197365926, 0.12826510627589477, 0.13400506902892226, 0.057188046017759724, 0.05921349362505222, 0.02332306948413414, -0.1281169414813709, 0.03353083947379338, 0.26740540231445004, 0.0014897141539092576, 0.1770721388726033, -0.42244152397904683, -0.1929811270770974, 0.03989318481828541, 0.16015552054334403, 0.10781072932155453, -0.007527231084729047, -0.20069647677718921, 0.010473351174163724, -0.17109728601053917, -0.15526907579427152, -0.06804967185664446, 0.018443359135601082, -0.02491262567901802, -0.28378805311447486, 0.10857915462351832, 0.031744709105363915, -0.0009524969741197905, -0.04861113186172889, -0.08130636427873619, -0.06385050917261358, 0.03757652889913529, 0.09974412861651272, 0.08799495025191288, 0.14371984251389713, -0.23862491577296496, -0.052543995464290665, 0.33447990958978024, -0.04268422130498811, -0.15820670534009323, 0.15118036430707216, -0.2558675514520111, -0.10621952124752272, 0.1866489272228533, 0.14594247742184907, 0.17909668639820434, -0.1376980362396339, 0.17477520375273584, -0.04910299412843148, 0.13176581059071354, 0.11164271263790813, 0.048258550021328256, 0.2406814447989253, 0.17227081743531153, 9.091992650699234e-05, 0.13316281429225846, -0.09132028619331636, -0.08653008896171262, -0.3999175521776192, -0.0939037790171858, -0.1656043276416586, 0.1056719747988185, -0.17429305772991638, -0.14783453318829598, 0.3411737858576882, 0.10346508345783766, 0.23722387803018205, 0.03105432889599325, 0.27975824330338184, 0.1920588238977064, 0.02760472997000679, 0.13784306539096555, 0.27992007654524387, 0.1921132905443752, 0.147033138732825, -0.2892397273125309, -0.0595340891951289, 0.12256325980214249] |
710.5298 | The statistical mechanics of the two-dimensional hydrogen-bonding
self-avoiding walk including solvent effects | A two-dimensional square-lattice model for the formation of secondary
structures in proteins, the hydrogen-bonding model, is extended to include the
effects of solvent quality. This is achieved by allowing
configuration-dependent nearest-neighbour interactions. The phase diagram is
presented, and found to have a much richer variety of phases than either the
pure hydrogen-bonding self-avoiding walk model or the standard $\Theta$-point
model.
| cond-mat.stat-mech cond-mat.soft | a twodimensional squarelattice model for the formation of secondary structures in proteins the hydrogenbonding model is extended to include the effects of solvent quality this is achieved by allowing configurationdependent nearestneighbour interactions the phase diagram is presented and found to have a much richer variety of phases than either the pure hydrogenbonding selfavoiding walk model or the standard thetapoint model | [['a', 'twodimensional', 'squarelattice', 'model', 'for', 'the', 'formation', 'of', 'secondary', 'structures', 'in', 'proteins', 'the', 'hydrogenbonding', 'model', 'is', 'extended', 'to', 'include', 'the', 'effects', 'of', 'solvent', 'quality', 'this', 'is', 'achieved', 'by', 'allowing', 'configurationdependent', 'nearestneighbour', 'interactions', 'the', 'phase', 'diagram', 'is', 'presented', 'and', 'found', 'to', 'have', 'a', 'much', 'richer', 'variety', 'of', 'phases', 'than', 'either', 'the', 'pure', 'hydrogenbonding', 'selfavoiding', 'walk', 'model', 'or', 'the', 'standard', 'thetapoint', 'model']] | [-0.11010660828712086, 0.18715877508123716, -0.05500059887320579, 0.07531748900267606, -0.03189099111283819, -0.20409132135100663, 0.042654768625895186, 0.3782456242789825, -0.22631101071213683, -0.2708412853690485, 0.01743970809620805, -0.26176126903543867, -0.1410357103217393, 0.10751334390952252, 0.05413829532141487, -0.01434964707295876, 0.018217673416559894, 0.007753759467353423, -0.035346175939776, -0.23329630633816123, 0.21788924549085398, 0.07004408175125718, 0.27610659774703283, 0.03724633171999206, 0.02468185202839474, 0.0019001066063841184, 0.04751183694849412, 0.035432661821444826, -0.16851103256146113, 0.08848417171587547, 0.1431047319667414, -0.025649979050892096, 0.1697675310385724, -0.4075509919784963, -0.31351280605110027, 0.11307115181795477, 0.1506277358935525, 0.14847565890910724, -0.022155342802094916, -0.29915221917132534, 0.04377297900306682, -0.19861619900912048, -0.10611912551491211, -0.029868120343113938, -0.018290100619196892, -0.008649193247159322, -0.26335943546146157, 0.12410446178012838, 0.07897302200193129, 0.07643443711179619, -0.025668082114619514, -0.11281039258465171, -0.08590335980989039, 0.09407094922304775, -0.013474459686161329, 0.06491057278277973, 0.1496960071225961, -0.16430293237402413, -0.12516138483770192, 0.47807897900541624, -0.023379437746916663, -0.21957545874950787, 0.2519842774607241, -0.14973045050889291, -0.09508890399398903, 0.17706476592769224, 0.11626097022090107, 0.08850289769470691, -0.15415257144874583, 0.06458561664039734, -0.014750704549563428, 0.18336817907790343, -0.02234546756371856, -0.03131853286953022, 0.22440619439973186, 0.2385970139837203, -0.00460431760099406, 0.21509552942588925, -0.047252440204223, -0.1893661477137357, -0.16275286825354365, -0.14739722208857226, -0.16012190435624993, 0.0012171042151749134, -0.13768756215746786, -0.21627801430101196, 0.39733673646114764, 0.10366946713960108, 0.16524579087272287, 0.045604594113926096, 0.2317507242395853, 0.03009356592471401, 0.08168090833351016, -0.030378003247703116, 0.22417938228075704, 0.10044356336196264, 0.056929524359293285, -0.18863524362289658, 0.11957216359830151, 0.09237691435652474] |
710.5299 | Multiscale expansion on the lattice and integrability of partial
difference equations | We conjecture an integrability and linearizability test for dispersive
Z^2-lattice equations by using a discrete multiscale analysis. The lowest order
secularity conditions from the multiscale expansion give a partial differential
equation of the form of the nonlinear Schrodinger (NLS) equation. If the
starting lattice equation is integrable then the resulting NLS equation turns
out to be integrable, while if the starting equation is linearizable we get a
linear Schrodinger equation. On the other hand, if we start with a
non-integrable lattice equation we may obtain a non-integrable NLS equation.
This conjecture is confirmed by many examples.
| math-ph math.MP nlin.SI | we conjecture an integrability and linearizability test for dispersive z2lattice equations by using a discrete multiscale analysis the lowest order secularity conditions from the multiscale expansion give a partial differential equation of the form of the nonlinear schrodinger nls equation if the starting lattice equation is integrable then the resulting nls equation turns out to be integrable while if the starting equation is linearizable we get a linear schrodinger equation on the other hand if we start with a nonintegrable lattice equation we may obtain a nonintegrable nls equation this conjecture is confirmed by many examples | [['we', 'conjecture', 'an', 'integrability', 'and', 'linearizability', 'test', 'for', 'dispersive', 'z2lattice', 'equations', 'by', 'using', 'a', 'discrete', 'multiscale', 'analysis', 'the', 'lowest', 'order', 'secularity', 'conditions', 'from', 'the', 'multiscale', 'expansion', 'give', 'a', 'partial', 'differential', 'equation', 'of', 'the', 'form', 'of', 'the', 'nonlinear', 'schrodinger', 'nls', 'equation', 'if', 'the', 'starting', 'lattice', 'equation', 'is', 'integrable', 'then', 'the', 'resulting', 'nls', 'equation', 'turns', 'out', 'to', 'be', 'integrable', 'while', 'if', 'the', 'starting', 'equation', 'is', 'linearizable', 'we', 'get', 'a', 'linear', 'schrodinger', 'equation', 'on', 'the', 'other', 'hand', 'if', 'we', 'start', 'with', 'a', 'nonintegrable', 'lattice', 'equation', 'we', 'may', 'obtain', 'a', 'nonintegrable', 'nls', 'equation', 'this', 'conjecture', 'is', 'confirmed', 'by', 'many', 'examples']] | [-0.13852644144116263, 0.05687393234004144, -0.1367022295139338, 0.0746105798029978, -0.165730215116453, -0.20877300861144538, -0.06567361347475334, 0.2603292624613172, -0.30132298650906275, -0.1608899738933695, 0.14545386757358517, -0.3358119887299836, -0.17828349382861663, 0.17438581539930678, 0.048029299717592566, 0.09940194491983244, 0.1235447449192993, 0.031898519514422664, -0.1134670849546398, -0.29184201459743475, 0.3680271940992067, -0.06655307936629182, 0.1777366615929886, 0.01968502341034381, 0.1757532619920216, -0.024493688036148487, 0.049038370483015715, -0.04366934783756733, -0.17705853982387404, 0.027929624473970186, 0.21321715650540826, 0.020441156439483167, 0.28169530053672037, -0.4332654544985608, -0.23039211489652334, 0.07068354859703073, 0.15343284749573, 0.1987687424781095, -0.004343015236142827, -0.3409558172778864, 0.04702940996442186, -0.09382077986864668, -0.26409908161547624, -0.08180296736720362, 0.008435959626283301, 0.04209209836860138, -0.2655257476983886, 0.15850886660382935, 0.1027448182876565, -0.00910134778946246, -0.13486517785901303, -0.023711255662094213, -0.0859182907170371, -0.02730705755223569, -0.02930131874194271, -0.0007136742486373375, -0.028074932946382386, -0.11541939956675235, -0.058565513686718126, 0.4245215839069141, -0.0812416846091908, -0.31206477155026635, 0.0970736375789305, -0.11104786546998903, -0.15689155550820655, 0.12204226722058496, 0.10662590200081468, 0.10652953622568595, -0.18184969808514181, 0.16665265654201472, -0.08199982303439786, 0.17454835980346328, 0.08951053891919161, -0.05450965148200722, 0.09225396966855777, 0.1494866352846944, 0.08624285899261994, 0.12451764695089017, 0.054777414598012046, -0.1387211490814623, -0.3347439826123024, -0.11968651758016724, -0.15673927230466353, 0.1893804303823823, -0.1068153247422551, -0.17472893547658858, 0.3633535363833959, 0.13370770003131935, 0.13329384217136783, 0.053372031940441385, 0.20444049187200633, 0.3015154596957329, -0.02312822484803435, 0.07369502724981622, 0.17092481592277947, 0.1942881361973521, 0.10799629597826615, -0.22854192550784272, -0.05362940756604075, 0.2042202337792045] |
710.53 | Big Bang Nucleosynthesis Constraints on the Self-Gravity of Pressure | Using big bang nucleosynthesis and present, high-precision measurements of
light element abundances, we constrain the self-gravity of radiation pressure
in the early universe. The self-gravity of pressure is strictly non-Newtonian,
and thus the constraints we set provide a direct test of this prediction of
general relativity and of the standard, Robertson-Walker-Friedmann cosmology.
| astro-ph | using big bang nucleosynthesis and present highprecision measurements of light element abundances we constrain the selfgravity of radiation pressure in the early universe the selfgravity of pressure is strictly nonnewtonian and thus the constraints we set provide a direct test of this prediction of general relativity and of the standard robertsonwalkerfriedmann cosmology | [['using', 'big', 'bang', 'nucleosynthesis', 'and', 'present', 'highprecision', 'measurements', 'of', 'light', 'element', 'abundances', 'we', 'constrain', 'the', 'selfgravity', 'of', 'radiation', 'pressure', 'in', 'the', 'early', 'universe', 'the', 'selfgravity', 'of', 'pressure', 'is', 'strictly', 'nonnewtonian', 'and', 'thus', 'the', 'constraints', 'we', 'set', 'provide', 'a', 'direct', 'test', 'of', 'this', 'prediction', 'of', 'general', 'relativity', 'and', 'of', 'the', 'standard', 'robertsonwalkerfriedmann', 'cosmology']] | [-0.08843443466021735, 0.11614552896250696, -0.1398741878505212, 0.06645434226512033, -0.09476476210151233, -0.08736028959609422, 0.006595769810362482, 0.2569140840193951, -0.2442310998837153, -0.3229448284004249, 0.0758004156557624, -0.24324234852603838, 0.014327995168666044, 0.18149392712203896, -0.013866194469087264, 0.04919572894041445, 0.09891388197338172, -0.03227091460504715, -0.059762375237529766, -0.25209491984809146, 0.3566583350081654, 0.1300618848489488, 0.1411957136154467, 0.03891114664136195, 0.038377977469388175, -0.10833547111856294, -0.10376789568759062, 0.038435432968624665, -0.21306562822257333, 0.07069057479099024, 0.1671628428796562, 0.22245339121596486, 0.2173432661037819, -0.47621668221465513, -0.28639541454978434, 0.12461651430702676, 0.07429363501860815, 0.15055765292844644, -0.136869475665484, -0.2630838416516781, 0.03613764009901834, -0.16827229303125218, -0.11684575245040012, -0.039137734775887986, 0.004852183236210954, -0.02175488480019803, -0.2766530359821284, 0.12112145416219444, 0.0011571055168614669, 0.04595830708778664, -0.09124434333952035, -0.07609263259241832, 0.009978600526593771, 0.05291754957836341, 0.07048328529002473, 0.0025989834730531657, 0.19589988757655316, -0.13286895249678077, -0.0033709081346351725, 0.5168631969421518, -0.1300152670226845, -0.07252829269889523, 0.15260027769003429, -0.2285281303612625, -0.14721572634709232, 0.05608406710420169, 0.15391401358304874, 0.11990058013037139, -0.12492660700580945, 0.1068484229184048, 0.03299087504217146, 0.1408703583201357, 0.07022359313479826, -0.022050063750094863, 0.29169109412560273, 0.2143450939626086, -0.008327261127038476, 0.011016553888718287, -0.09759419781210668, -0.04408077740877429, -0.3680908980907178, -0.21509209717167357, -0.080170842106728, 0.0634048706395369, -0.18560251396910663, -0.18140857444856973, 0.33213424715487394, 0.16733163555024885, 0.11783388395811997, 0.04089835744497238, 0.37734627789434266, 0.03394897730921751, -0.007866187203748553, 0.05896905811010476, 0.35548727740259733, 0.19120931691106627, 0.10380070502230641, -0.2905891079035606, 0.06312927837465324, 0.01791128134537561] |
710.5301 | An iterative algorithm for evaluating approximations to the optimal
exercise boundary for a nonlinear Black-Scholes equation | The purpose of this paper is to analyze and compute the early exercise
boundary for a class of nonlinear Black--Scholes equations with a nonlinear
volatility which can be a function of the second derivative of the option price
itself. A motivation for studying the nonlinear Black--Scholes equation with a
nonlinear volatility arises from option pricing models taking into account e.g.
nontrivial transaction costs, investor's preferences, feedback and illiquid
markets effects and risk from a volatile (unprotected) portfolio. We present a
new method how to transform the free boundary problem for the early exercise
boundary position into a solution of a time depending nonlinear parabolic
equation defined on a fixed domain. We furthermore propose an iterative
numerical scheme that can be used to find an approximation of the free
boundary. We present results of numerical approximation of the early exercise
boundary for various types of nonlinear Black--Scholes equations and we discuss
dependence of the free boundary on various model parameters.
| q-fin.CP math.NA | the purpose of this paper is to analyze and compute the early exercise boundary for a class of nonlinear blackscholes equations with a nonlinear volatility which can be a function of the second derivative of the option price itself a motivation for studying the nonlinear blackscholes equation with a nonlinear volatility arises from option pricing models taking into account eg nontrivial transaction costs investors preferences feedback and illiquid markets effects and risk from a volatile unprotected portfolio we present a new method how to transform the free boundary problem for the early exercise boundary position into a solution of a time depending nonlinear parabolic equation defined on a fixed domain we furthermore propose an iterative numerical scheme that can be used to find an approximation of the free boundary we present results of numerical approximation of the early exercise boundary for various types of nonlinear blackscholes equations and we discuss dependence of the free boundary on various model parameters | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'analyze', 'and', 'compute', 'the', 'early', 'exercise', 'boundary', 'for', 'a', 'class', 'of', 'nonlinear', 'blackscholes', 'equations', 'with', 'a', 'nonlinear', 'volatility', 'which', 'can', 'be', 'a', 'function', 'of', 'the', 'second', 'derivative', 'of', 'the', 'option', 'price', 'itself', 'a', 'motivation', 'for', 'studying', 'the', 'nonlinear', 'blackscholes', 'equation', 'with', 'a', 'nonlinear', 'volatility', 'arises', 'from', 'option', 'pricing', 'models', 'taking', 'into', 'account', 'eg', 'nontrivial', 'transaction', 'costs', 'investors', 'preferences', 'feedback', 'and', 'illiquid', 'markets', 'effects', 'and', 'risk', 'from', 'a', 'volatile', 'unprotected', 'portfolio', 'we', 'present', 'a', 'new', 'method', 'how', 'to', 'transform', 'the', 'free', 'boundary', 'problem', 'for', 'the', 'early', 'exercise', 'boundary', 'position', 'into', 'a', 'solution', 'of', 'a', 'time', 'depending', 'nonlinear', 'parabolic', 'equation', 'defined', 'on', 'a', 'fixed', 'domain', 'we', 'furthermore', 'propose', 'an', 'iterative', 'numerical', 'scheme', 'that', 'can', 'be', 'used', 'to', 'find', 'an', 'approximation', 'of', 'the', 'free', 'boundary', 'we', 'present', 'results', 'of', 'numerical', 'approximation', 'of', 'the', 'early', 'exercise', 'boundary', 'for', 'various', 'types', 'of', 'nonlinear', 'blackscholes', 'equations', 'and', 'we', 'discuss', 'dependence', 'of', 'the', 'free', 'boundary', 'on', 'various', 'model', 'parameters']] | [-0.09728729283237982, 0.025563339344203857, -0.13094676412428208, 0.09695231211342432, -0.1517233900365613, -0.15050394519718377, 0.06244652851634079, 0.3584596985810489, -0.31883511514221347, -0.24558785633892757, 0.19365545101727377, -0.25281349501467115, -0.16745996124070114, 0.19716729222263837, -0.09650803401293058, 0.05708659704446605, 0.03510418870785045, -0.02200055852350808, -0.030696856801005656, -0.24887172354139248, 0.3250571795447829, 0.006238955348355215, 0.21906971893677452, 0.04365679970210266, 0.16051647016110848, -0.017407164958733245, -0.022644663784570945, 0.021646736477466545, -0.1653547362527761, 0.11209452182490894, 0.25177698743884447, 0.06331078856949161, 0.35849284338501264, -0.47306104436657337, -0.20970639151245732, 0.09848452553317044, 0.04823805750140835, 0.10015438070869273, -0.041802440039995094, -0.2598595904455807, -0.007302257952825079, -0.21273599691548437, -0.14862973918573075, -0.0480797456448558, -0.010442309919158992, -0.001792806233116041, -0.3432695013383087, 0.06979201792932625, 0.009864815015861261, 0.0006384632931641485, -0.13058825462409324, -0.09716786203449065, -0.0281204024063271, 0.10042288798089109, 0.09919610894329073, -0.06908264810969152, 0.08715708397838445, -0.1556431988895572, -0.1289565304935611, 0.400951713868329, -0.10117312271218255, -0.2405068164913909, 0.11458975920723107, -0.11087540368865824, -0.07785532905854894, 0.10549821307115122, 0.235019094703145, 0.11253572761559999, -0.2026820051800108, 0.10340701927630079, -0.023985949574834988, 0.1594984601017486, 0.038098180643136394, -0.04337336242187229, 0.1450431760658258, 0.18377211792745962, 0.1132161024249153, 0.1659167442095917, -0.031325813661089295, -0.14353772992877373, -0.35006392066536834, -0.16278091740008127, -0.10825846238506946, 0.05855058439064232, -0.1509015304051082, -0.21135135718369447, 0.4101223886275835, 0.1531025317069963, 0.12392882095487297, 0.0798066474223486, 0.2768365851363296, 0.23180981984936028, -0.028448851333942805, 0.06793824409382893, 0.13432600093220579, 0.026962230670259997, 0.12190026734112147, -0.24303714311685348, 0.1104539791092792, 0.09817044587173271] |
710.5302 | Does Amati Relation Depend on Luminosity of GRB's Host Galaxies? | In order to test systematic of the Amati relation, the 24 long-duration GRBs
with firmly determined $E_{\gamma,\mathrm{iso}}$ and $E_{\mathrm p}$ are
separated into two sub-groups according to B-band luminosity of their host
galaxies. The Amati relations in the two subgroups are found to be in agreement
with each other within uncertainties. Taking into account of the well
established luminosity - metallicity relation of galaxies, no strong evolution
of the Amati relation with GRB's environment metallicity is implied in this
study.
| astro-ph | in order to test systematic of the amati relation the 24 longduration grbs with firmly determined e_gammamathrmiso and e_mathrm p are separated into two subgroups according to bband luminosity of their host galaxies the amati relations in the two subgroups are found to be in agreement with each other within uncertainties taking into account of the well established luminosity metallicity relation of galaxies no strong evolution of the amati relation with grbs environment metallicity is implied in this study | [['in', 'order', 'to', 'test', 'systematic', 'of', 'the', 'amati', 'relation', 'the', '24', 'longduration', 'grbs', 'with', 'firmly', 'determined', 'e_gammamathrmiso', 'and', 'e_mathrm', 'p', 'are', 'separated', 'into', 'two', 'subgroups', 'according', 'to', 'bband', 'luminosity', 'of', 'their', 'host', 'galaxies', 'the', 'amati', 'relations', 'in', 'the', 'two', 'subgroups', 'are', 'found', 'to', 'be', 'in', 'agreement', 'with', 'each', 'other', 'within', 'uncertainties', 'taking', 'into', 'account', 'of', 'the', 'well', 'established', 'luminosity', 'metallicity', 'relation', 'of', 'galaxies', 'no', 'strong', 'evolution', 'of', 'the', 'amati', 'relation', 'with', 'grbs', 'environment', 'metallicity', 'is', 'implied', 'in', 'this', 'study']] | [-0.06297024726294555, 0.12358497542281373, -0.09125148626760794, 0.21061570161374477, -0.09611330317476621, -0.0740951010479759, 0.06123707899584984, 0.49097781862394935, -0.16028141882867578, -0.3762970077208219, -0.014768028590016259, -0.3416921221531736, 0.033431672443373084, 0.216107931943276, -0.03733706096924531, -0.019973247837370787, 0.020030310425238732, -0.08122456864788173, -0.10483597426149899, -0.28003846460845894, 0.2881162229220932, 0.026993314069934573, 0.22892240260560542, -0.06846061344139087, 0.02503567124502017, -0.07929022486011188, -0.11036724523187448, 0.009064086577731919, -0.15151891883056706, 0.01297054399186984, 0.2684399216220929, 0.10510656334316501, 0.21365079496246883, -0.3394236223390087, -0.15799477656419653, 0.14180990506727725, 0.13886808245801008, -0.052285625539624535, -0.020958994849561118, -0.29383485716504926, 0.028035013214088023, -0.18515810200896782, -0.1338051651747754, 0.11332839205622292, 0.07753527360275769, 0.059330628286354624, -0.16200534514605236, 0.1861735988432207, 0.02867481045018977, 0.09770394074849975, -0.08717190968887642, -0.034696566251417, -0.0759604254600186, 0.11087643675124034, 0.10757664480927186, 0.044831034258748285, 0.07329250641394025, -0.08444281785378759, -0.028125473083211824, 0.45567271585026997, -0.0065083132462743195, -0.011579215163529182, 0.18643878660618496, -0.2227991450136193, -0.16354503259301567, 0.021701146729099445, 0.10743155065350808, -0.01599826145535096, -0.2344587065446644, 0.011671449439092658, 0.008878804719409881, 0.18450772479319802, -0.007807905615593951, 0.07009299576216457, 0.25149695778217834, 0.11165966222492549, -0.025147341705190066, 0.05603414495663646, -0.07841622624068688, -0.008031293403548308, -0.3254106979912672, -0.1130911577373552, -0.10133162303827703, 0.07262577401856199, -0.1471030463291801, -0.10289261918156765, 0.3517894469953787, 0.10462804607903728, 0.2474210927836024, 0.12500317874722755, 0.22929232426656362, 0.11745893448376311, 0.11881116643034591, 0.11153940100055666, 0.3505809773237277, 0.22059671860188246, -0.030963094379657354, -0.24083413977104312, 0.10448637327107672, 0.06525272276037587] |
710.5303 | Predictions for high energy neutrino cross-sections from the ZEUS global
PDF fits | We have updated predictions for high energy neutrino and antineutrino charged
current cross-sections within the conventional DGLAP formalism of NLO QCD using
a modern PDF fit to HERA data, which also accounts in a systematic way for PDF
uncertainties deriving from both model uncertainties and from the experimental
uncertainties of the input data sets. Furthermore the PDFs are determined using
an improved treatment of heavy quark thresholds. A measurement of the neutrino
cross-section much below these predictions would signal the need for extension
of the conventional formalism as in BFKL resummation, or even gluon
recombination effects as in the colour glass condensate model.
| hep-ph astro-ph hep-ex | we have updated predictions for high energy neutrino and antineutrino charged current crosssections within the conventional dglap formalism of nlo qcd using a modern pdf fit to hera data which also accounts in a systematic way for pdf uncertainties deriving from both model uncertainties and from the experimental uncertainties of the input data sets furthermore the pdfs are determined using an improved treatment of heavy quark thresholds a measurement of the neutrino crosssection much below these predictions would signal the need for extension of the conventional formalism as in bfkl resummation or even gluon recombination effects as in the colour glass condensate model | [['we', 'have', 'updated', 'predictions', 'for', 'high', 'energy', 'neutrino', 'and', 'antineutrino', 'charged', 'current', 'crosssections', 'within', 'the', 'conventional', 'dglap', 'formalism', 'of', 'nlo', 'qcd', 'using', 'a', 'modern', 'pdf', 'fit', 'to', 'hera', 'data', 'which', 'also', 'accounts', 'in', 'a', 'systematic', 'way', 'for', 'pdf', 'uncertainties', 'deriving', 'from', 'both', 'model', 'uncertainties', 'and', 'from', 'the', 'experimental', 'uncertainties', 'of', 'the', 'input', 'data', 'sets', 'furthermore', 'the', 'pdfs', 'are', 'determined', 'using', 'an', 'improved', 'treatment', 'of', 'heavy', 'quark', 'thresholds', 'a', 'measurement', 'of', 'the', 'neutrino', 'crosssection', 'much', 'below', 'these', 'predictions', 'would', 'signal', 'the', 'need', 'for', 'extension', 'of', 'the', 'conventional', 'formalism', 'as', 'in', 'bfkl', 'resummation', 'or', 'even', 'gluon', 'recombination', 'effects', 'as', 'in', 'the', 'colour', 'glass', 'condensate', 'model']] | [0.011310327836556488, 0.16136206991790264, -0.13578050978282846, 0.1768480381946468, -0.013417129285036794, -0.06721867727979258, 0.05713621910335948, 0.372063752372288, -0.16429672956249666, -0.3030528012907259, 0.025942268909081745, -0.32996674777162305, 0.0445378748609603, 0.14670072265141146, 0.0431394042826972, 0.14667831471605788, 0.09613157099890478, -0.04253001462270334, -0.10929290493000841, -0.1902757565065929, 0.30023841695968534, 0.07362477109288272, 0.26691833358185674, 0.12841864182044146, 0.060334837535176954, 0.032953534928575445, -0.1075679804967011, -0.02709278325071034, -0.10844535731656242, 0.05393450139361678, 0.2538672904704372, 0.09431270836373266, 0.10638754780503731, -0.4190062063981245, -0.1837330391173911, 0.08375209904031701, 0.16053935895375546, 0.1745541649045495, -0.028130022641633032, -0.2743969214808883, 0.02868798775236728, -0.27004572086361717, -0.14129490291844438, -0.09394911039186624, -0.04626652746217199, -0.02017903241025989, -0.3465104515763741, 0.10442371260644913, -0.04887921957172526, -0.002159400960629426, -0.015251595558580553, -0.23120944947004318, -0.04223816005232771, 0.05391018798583847, 0.07480817739128416, 0.07601078855579049, 0.17237964491766777, -0.2221658017771156, -0.12258074037477519, 0.40620061769647503, -0.06644803924865804, -0.156683843931832, 0.044423215216685775, -0.18378955914268216, -0.12729640255763547, 0.14491977539926187, 0.21093000986079857, 0.044054758826551, -0.23106347602674537, 0.08567158854227441, 0.008004240637410034, 0.16467428625136324, 0.027312025714900743, 0.04928074540452833, 0.19651702950082411, 0.22599536242885787, -0.04022537520634535, -0.006754691450341234, -0.12407238352184807, -0.09318049066672915, -0.4036415393726484, -0.024371159741684943, -0.08484782250959752, 0.037637960789634765, -0.11819088098212163, -0.14426327641438513, 0.3723664187003397, 0.19298118278745888, 0.22718734707167934, 0.05553961503296837, 0.3959617152430334, 0.126897801263077, 0.09304828270456021, 0.024345571545938267, 0.2618631185439316, 0.1516657745809231, 0.0993385673907486, -0.21879524385637955, 0.06845749104938027, 0.0316917647752296] |
710.5304 | Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer | We have studied temperature dependences of electron transport in graphene and
its bilayer and found extremely low electron-phonon scattering rates that set
the fundamental limit on possible charge carrier mobilities at room
temperature. Our measurements have shown that mobilities significantly higher
than 200,000 cm2/Vs are achievable, if extrinsic disorder is eliminated. A
sharp (threshold-like) increase in resistivity observed above approximately
200K is unexpected but can qualitatively be understood within a model of a
rippled graphene sheet in which scattering occurs on intra-ripple flexural
phonons.
| cond-mat.mes-hall cond-mat.mtrl-sci | we have studied temperature dependences of electron transport in graphene and its bilayer and found extremely low electronphonon scattering rates that set the fundamental limit on possible charge carrier mobilities at room temperature our measurements have shown that mobilities significantly higher than 200000 cm2vs are achievable if extrinsic disorder is eliminated a sharp thresholdlike increase in resistivity observed above approximately 200k is unexpected but can qualitatively be understood within a model of a rippled graphene sheet in which scattering occurs on intraripple flexural phonons | [['we', 'have', 'studied', 'temperature', 'dependences', 'of', 'electron', 'transport', 'in', 'graphene', 'and', 'its', 'bilayer', 'and', 'found', 'extremely', 'low', 'electronphonon', 'scattering', 'rates', 'that', 'set', 'the', 'fundamental', 'limit', 'on', 'possible', 'charge', 'carrier', 'mobilities', 'at', 'room', 'temperature', 'our', 'measurements', 'have', 'shown', 'that', 'mobilities', 'significantly', 'higher', 'than', '200000', 'cm2vs', 'are', 'achievable', 'if', 'extrinsic', 'disorder', 'is', 'eliminated', 'a', 'sharp', 'thresholdlike', 'increase', 'in', 'resistivity', 'observed', 'above', 'approximately', '200k', 'is', 'unexpected', 'but', 'can', 'qualitatively', 'be', 'understood', 'within', 'a', 'model', 'of', 'a', 'rippled', 'graphene', 'sheet', 'in', 'which', 'scattering', 'occurs', 'on', 'intraripple', 'flexural', 'phonons']] | [-0.16064757953260475, 0.2586660290989711, -0.021195322864251322, 0.03049409941837461, 0.03648572846831956, -0.1942138987627015, 0.10982755190098142, 0.43081250773316404, -0.22429947806410042, -0.2826530688318862, -0.0029648004467206367, -0.35278180770082285, -0.12447732465947609, 0.23797481781059696, -0.006123026673042451, -0.00579137060895046, -0.03152883601520794, -0.022046146106468625, -0.07585033567423136, -0.24384876290134277, 0.19413388123264513, 0.07337292412812092, 0.3672405352103468, 0.19543432835938343, 0.06671242201027561, -0.04765753695427115, 0.13055737157273722, 0.0735478758340679, -0.16798591032061103, -0.010565123532012284, 0.2956991875207568, -0.17285538261688976, 0.17634066695863582, -0.4171291327395712, -0.25279216690505124, -0.0468480905759182, 0.20059412529871587, 0.14526740957966008, -0.07216012615188731, -0.18475702495022442, 0.07994326288217163, -0.12343135339219168, -0.09366897475086601, -0.07468399335910757, 0.013329910507133926, -0.07287630429828024, -0.2014615114284567, 0.2000042022127344, 0.024520890473062735, 0.07149629251672382, -0.1036141544779628, -0.17442417473823998, -0.0882905971382307, 0.04236437257727137, 0.0859102696721745, 0.024242115960209573, 0.27180038437426807, -0.09553255793829281, -0.057155292312872696, 0.3517434569748949, -0.07896051483866282, -0.08168665689966047, 0.2057261296873351, -0.26521071728812645, -0.0056821396349962935, 0.2441995534597032, 0.12475537669182901, 0.0956267736941935, -0.19019276546650982, 0.0467322602400315, -0.033599957711545815, 0.17324361463178353, 0.1553569476047239, 0.11533012269176991, 0.23403756119063998, 0.21541515072381281, 0.03899227059726794, 0.05503938248639096, -0.10766450179381723, 0.04727576444057344, -0.1812173863311848, -0.08408555513000991, -0.20881345613399543, 0.15462730191816318, -0.10272335848057115, -0.16232178408578207, 0.36757906537547885, 0.2191325042569303, 0.20440381829323898, 0.004430326457831066, 0.24512323117758855, 0.1840933952636593, 0.10501732734166624, 0.0713914526200079, 0.26786095042522234, 0.16164683393505683, 0.12031225333865507, -0.259004554916061, 0.1161841732977205, -0.061878578807507835] |
710.5305 | Comparison study for Level set and Direct Lagrangian methods for
computing Willmore flow of closed planar curves | The main goal of this paper is to present results of comparison study for the
level set and direct Lagrangian methods for computing evolution of the Willmore
flow of embedded planar curves. To perform such a study we construct new
numerical approximation schemes for both Lagrangian as well as level set
methods based on semi-implicit in time and finite/complementary volume in space
discretizations. The Lagrangian scheme is stabilized in tangential direction by
the asymptotically uniform grid point redistribution. Both methods are
experimentally second order accurate. Moreover, we show precise coincidence of
both approaches in case of various elastic curve evolutions provided that
solving the linear systems in semi-implicit level set method is done in a
precise way, redistancing is performed occasionally and the influence of
boundary conditions on the level set function is eliminated.
| math.NA | the main goal of this paper is to present results of comparison study for the level set and direct lagrangian methods for computing evolution of the willmore flow of embedded planar curves to perform such a study we construct new numerical approximation schemes for both lagrangian as well as level set methods based on semiimplicit in time and finitecomplementary volume in space discretizations the lagrangian scheme is stabilized in tangential direction by the asymptotically uniform grid point redistribution both methods are experimentally second order accurate moreover we show precise coincidence of both approaches in case of various elastic curve evolutions provided that solving the linear systems in semiimplicit level set method is done in a precise way redistancing is performed occasionally and the influence of boundary conditions on the level set function is eliminated | [['the', 'main', 'goal', 'of', 'this', 'paper', 'is', 'to', 'present', 'results', 'of', 'comparison', 'study', 'for', 'the', 'level', 'set', 'and', 'direct', 'lagrangian', 'methods', 'for', 'computing', 'evolution', 'of', 'the', 'willmore', 'flow', 'of', 'embedded', 'planar', 'curves', 'to', 'perform', 'such', 'a', 'study', 'we', 'construct', 'new', 'numerical', 'approximation', 'schemes', 'for', 'both', 'lagrangian', 'as', 'well', 'as', 'level', 'set', 'methods', 'based', 'on', 'semiimplicit', 'in', 'time', 'and', 'finitecomplementary', 'volume', 'in', 'space', 'discretizations', 'the', 'lagrangian', 'scheme', 'is', 'stabilized', 'in', 'tangential', 'direction', 'by', 'the', 'asymptotically', 'uniform', 'grid', 'point', 'redistribution', 'both', 'methods', 'are', 'experimentally', 'second', 'order', 'accurate', 'moreover', 'we', 'show', 'precise', 'coincidence', 'of', 'both', 'approaches', 'in', 'case', 'of', 'various', 'elastic', 'curve', 'evolutions', 'provided', 'that', 'solving', 'the', 'linear', 'systems', 'in', 'semiimplicit', 'level', 'set', 'method', 'is', 'done', 'in', 'a', 'precise', 'way', 'redistancing', 'is', 'performed', 'occasionally', 'and', 'the', 'influence', 'of', 'boundary', 'conditions', 'on', 'the', 'level', 'set', 'function', 'is', 'eliminated']] | [-0.14300898104710014, 0.0354042242463202, -0.09072521722112271, 0.056008828611330205, -0.03537709452036796, -0.08450774844959938, 0.038842361668103786, 0.3939591647454895, -0.25007453224012505, -0.30126589637676854, 0.11014939714538255, -0.23106882105672494, -0.1226465340294084, 0.228595031508073, -0.05226070569351988, 0.10528402280454573, 0.09096503309569412, -0.0026063864798586173, -0.08102561297994527, -0.24446113846313797, 0.336642229717743, 0.024798634188963956, 0.2770742267454253, 0.0500890962583454, 0.12094324146908589, -0.019254211334186026, -0.038759959325950624, 0.07549923540358222, -0.1375173069206806, 0.11741867621737372, 0.2306017640700627, 0.0686434609447851, 0.25320302209242673, -0.4259308876427717, -0.2150036230739346, 0.08161658524794686, 0.13207754112965658, 0.12169976468036946, -0.04004956867468817, -0.22395398371670872, 0.11283290436004702, -0.12829201047735891, -0.15586646798563966, -0.13029785435366675, -0.028522240640455505, 0.02624483808132827, -0.24931999557840645, 0.06722039280720125, 0.024579387705219925, 0.08754284542642142, -0.07692892807430791, -0.09396180350165394, 0.004592106858779557, 0.10669806605394005, 0.015216601531098323, 0.03456645158270052, 0.07598658926308827, -0.08997664702496022, -0.09504393204570488, 0.42145231217706114, -0.09409565064719969, -0.2712296948635152, 0.17510351216021394, -0.10903682340202588, -0.1241000845583674, 0.1276508878209257, 0.1979131286690726, 0.18232872283184215, -0.1398554534784385, 0.09302176597669959, 0.004082971893222933, 0.13350586109480442, 0.05013587264540164, -0.020095591925266654, 0.13284171291423919, 0.19954124785595595, 0.13425635541544148, 0.10263777137567688, -0.06695972232295103, -0.11634749707002613, -0.35119668073616084, -0.15560997787351402, -0.16572229396131702, -0.028398833789029403, -0.06443252369507191, -0.1658943880916594, 0.3728398758440952, 0.12524741714035995, 0.1685061097859328, 0.06455213209453102, 0.3389007450130425, 0.13882476200841548, -0.00523756786347612, 0.07466388401694428, 0.21915132357192724, 0.11449533808430222, 0.061767770632177144, -0.21029551051880052, 0.022730407860004027, 0.16436880405579127] |
710.5306 | Limits on additional planetary companions to OGLE-2005-BLG-390L | We investigate constraints on additional planets orbiting the distant M-dwarf
star OGLE-2005-BLG-390L, around which photometric microlensing data has
revealed the existence of the sub-Neptune-mass planet OGLE-2005-BLG-390Lb. We
specifically aim to study potential Jovian companions and compare our findings
with predictions from core-accretion and disc-instability models of planet
formation. We also obtain an estimate of the detection probability for
sub-Neptune mass planets similar to OGLE-2005-BLG-390Lb using a simplified
simulation of a microlensing experiment. We compute the efficiency of our
photometric data for detecting additional planets around OGLE-2005-BLG-390L, as
a function of the microlensing model parameters and convert it into a function
of the orbital axis and planet mass by means of an adopted model of the Milky
Way. We find that more than 50 % of potential planets with a mass in excess of
1 M_J between 1.1 and 2.3 AU around OGLE-2005-BLG-390L would have revealed
their existence, whereas for gas giants above 3 M_J in orbits between 1.5 and
2.2 AU, the detection efficiency reaches 70 %; however, no such companion was
observed. Our photometric microlensing data therefore do not contradict the
existence of gas giant planets at any separation orbiting OGLE-2005-BLG-390L.
Furthermore we find a detection probability for an OGLE-2005-BLG-390Lb-like
planet of around 2-5 %. In agreement with current planet formation theories,
this quantitatively supports the prediction that sub-Neptune mass planets are
common around low-mass stars.
| astro-ph | we investigate constraints on additional planets orbiting the distant mdwarf star ogle2005blg390l around which photometric microlensing data has revealed the existence of the subneptunemass planet ogle2005blg390lb we specifically aim to study potential jovian companions and compare our findings with predictions from coreaccretion and discinstability models of planet formation we also obtain an estimate of the detection probability for subneptune mass planets similar to ogle2005blg390lb using a simplified simulation of a microlensing experiment we compute the efficiency of our photometric data for detecting additional planets around ogle2005blg390l as a function of the microlensing model parameters and convert it into a function of the orbital axis and planet mass by means of an adopted model of the milky way we find that more than 50 of potential planets with a mass in excess of 1 m_j between 11 and 23 au around ogle2005blg390l would have revealed their existence whereas for gas giants above 3 m_j in orbits between 15 and 22 au the detection efficiency reaches 70 however no such companion was observed our photometric microlensing data therefore do not contradict the existence of gas giant planets at any separation orbiting ogle2005blg390l furthermore we find a detection probability for an ogle2005blg390lblike planet of around 25 in agreement with current planet formation theories this quantitatively supports the prediction that subneptune mass planets are common around lowmass stars | [['we', 'investigate', 'constraints', 'on', 'additional', 'planets', 'orbiting', 'the', 'distant', 'mdwarf', 'star', 'ogle2005blg390l', 'around', 'which', 'photometric', 'microlensing', 'data', 'has', 'revealed', 'the', 'existence', 'of', 'the', 'subneptunemass', 'planet', 'ogle2005blg390lb', 'we', 'specifically', 'aim', 'to', 'study', 'potential', 'jovian', 'companions', 'and', 'compare', 'our', 'findings', 'with', 'predictions', 'from', 'coreaccretion', 'and', 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710.5307 | Is the evidence for dark energy secure? | Several kinds of astronomical observations, interpreted in the framework of
the standard Friedmann-Robertson-Walker cosmology, have indicated that our
universe is dominated by a Cosmological Constant. The dimming of distant Type
Ia supernovae suggests that the expansion rate is accelerating, as if driven by
vacuum energy, and this has been indirectly substantiated through studies of
angular anisotropies in the cosmic microwave background (CMB) and of spatial
correlations in the large-scale structure (LSS) of galaxies. However there is
no compelling direct evidence yet for (the dynamical effects of) dark energy.
The precision CMB data can be equally well fitted without dark energy if the
spectrum of primordial density fluctuations is not quite scale-free and if the
Hubble constant is lower globally than its locally measured value. The LSS data
can also be satisfactorily fitted if there is a small component of hot dark
matter, as would be provided by neutrinos of mass 0.5 eV. Although such an
Einstein-de Sitter model cannot explain the SNe Ia Hubble diagram or the
position of the `baryon acoustic oscillation' peak in the autocorrelation
function of galaxies, it may be possible to do so e.g. in an inhomogeneous
Lemaitre-Tolman-Bondi cosmology where we are located in a void which is
expanding faster than the average. Such alternatives may seem contrived but
this must be weighed against our lack of any fundamental understanding of the
inferred tiny energy scale of the dark energy. It may well be an artifact of an
oversimplified cosmological model, rather than having physical reality.
| astro-ph gr-qc hep-th | several kinds of astronomical observations interpreted in the framework of the standard friedmannrobertsonwalker cosmology have indicated that our universe is dominated by a cosmological constant the dimming of distant type ia supernovae suggests that the expansion rate is accelerating as if driven by vacuum energy and this has been indirectly substantiated through studies of angular anisotropies in the cosmic microwave background cmb and of spatial correlations in the largescale structure lss of galaxies however there is no compelling direct evidence yet for the dynamical effects of dark energy the precision cmb data can be equally well fitted without dark energy if the spectrum of primordial density fluctuations is not quite scalefree and if the hubble constant is lower globally than its locally measured value the lss data can also be satisfactorily fitted if there is a small component of hot dark matter as would be provided by neutrinos of mass 05 ev although such an einsteinde sitter model cannot explain the sne ia hubble diagram or the position of the baryon acoustic oscillation peak in the autocorrelation function of galaxies it may be possible to do so eg in an inhomogeneous lemaitretolmanbondi cosmology where we are located in a void which is expanding faster than the average such alternatives may seem contrived but this must be weighed against our lack of any fundamental understanding of the inferred tiny energy scale of the dark energy it may well be an artifact of an oversimplified cosmological model rather than having physical reality | [['several', 'kinds', 'of', 'astronomical', 'observations', 'interpreted', 'in', 'the', 'framework', 'of', 'the', 'standard', 'friedmannrobertsonwalker', 'cosmology', 'have', 'indicated', 'that', 'our', 'universe', 'is', 'dominated', 'by', 'a', 'cosmological', 'constant', 'the', 'dimming', 'of', 'distant', 'type', 'ia', 'supernovae', 'suggests', 'that', 'the', 'expansion', 'rate', 'is', 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710.5308 | Spectral - Lagrangian methods for Collisional Models of Non -
Equilibrium Statistical States | We propose a new spectral Lagrangian based deterministic solver for the
non-linear Boltzmann Transport Equation for Variable Hard Potential (VHP)
collision kernels with conservative or non-conservative binary interactions.
The method is based on symmetries of the Fourier transform of the collision
integral, where the complexity in its computing is reduced to a separate
integral over the unit sphere $S^2$. In addition, the conservation of moments
is enforced by Lagrangian constraints. The resulting scheme, implemented in
free space is very versatile and adjusts in a very simple manner, to several
cases that involve energy dissipation due to local micro-reversibility
(inelastic interactions) or elastic model of slowing down process. Our
simulations are benchmarked with the available exact self-similar solutions,
exact moment equations and analytical estimates for homogeneous Boltzmann
equation for both elastic and inelastic VHP interactions. Benchmarking of the
simulations involves the selection of a time self-similar rescaling of the
numerical distribution function which is performed using the continuous
spectrum of the equation for Maxwell molecules as studied first in
\cite{asympGranular} and generalized to a wide range of related models in
\cite{BCG}. The method also produces accurate results in the case of inelastic
diffusive Boltzmann equations for hard-spheres (inelastic collisions under
thermal bath), where overpopulated non-Gaussian exponential tails have been
conjectured in computations by stochastic methods in \cite{vanNoi-Ernst,
ernst-brito, MSS, GRW04} and rigourously proven in \cite{diffGran} and
\cite{highEnergyTails}.
| math-ph math.MP | we propose a new spectral lagrangian based deterministic solver for the nonlinear boltzmann transport equation for variable hard potential vhp collision kernels with conservative or nonconservative binary interactions the method is based on symmetries of the fourier transform of the collision integral where the complexity in its computing is reduced to a separate integral over the unit sphere s2 in addition the conservation of moments is enforced by lagrangian constraints the resulting scheme implemented in free space is very versatile and adjusts in a very simple manner to several cases that involve energy dissipation due to local microreversibility inelastic interactions or elastic model of slowing down process our simulations are benchmarked with the available exact selfsimilar solutions exact moment equations and analytical estimates for homogeneous boltzmann equation for both elastic and inelastic vhp interactions benchmarking of the simulations involves the selection of a time selfsimilar rescaling of the numerical distribution function which is performed using the continuous spectrum of the equation for maxwell molecules as studied first in citeasympgranular and generalized to a wide range of related models in citebcg the method also produces accurate results in the case of inelastic diffusive boltzmann equations for hardspheres inelastic collisions under thermal bath where overpopulated nongaussian exponential tails have been conjectured in computations by stochastic methods in citevannoiernst ernstbrito mss grw04 and rigourously proven in citediffgran and citehighenergytails | [['we', 'propose', 'a', 'new', 'spectral', 'lagrangian', 'based', 'deterministic', 'solver', 'for', 'the', 'nonlinear', 'boltzmann', 'transport', 'equation', 'for', 'variable', 'hard', 'potential', 'vhp', 'collision', 'kernels', 'with', 'conservative', 'or', 'nonconservative', 'binary', 'interactions', 'the', 'method', 'is', 'based', 'on', 'symmetries', 'of', 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0.11182618281772276, -0.2499587605162312, 0.032463650712320075, 0.09590292134195227] |
710.5309 | Interpolation maps and congruence domains for wavelet sets | It is proven that if an interpolation map between two wavelet sets preserves
the union of the sets, then the pair must be an interpolation pair. We also
construct an example of a pair of wavelet sets for which the congruence domains
of the associated interpolation map and its inverse are equal, and yet the pair
is not an interpolation pair. The first result solves affirmatively a problem
that the second author had posed several years ago, and the second result
solves an intriguing problem of D. Han. The key to this counterexample is a
special technical lemma on constructing wavelet sets. Several other
applications of this result are also given. In addition, some problems are
posed. We also take the opportunity to give some general exposition on wavelet
sets and operator-theoretic interpolation of wavelets.
| math.FA math.OA | it is proven that if an interpolation map between two wavelet sets preserves the union of the sets then the pair must be an interpolation pair we also construct an example of a pair of wavelet sets for which the congruence domains of the associated interpolation map and its inverse are equal and yet the pair is not an interpolation pair the first result solves affirmatively a problem that the second author had posed several years ago and the second result solves an intriguing problem of d han the key to this counterexample is a special technical lemma on constructing wavelet sets several other applications of this result are also given in addition some problems are posed we also take the opportunity to give some general exposition on wavelet sets and operatortheoretic interpolation of wavelets | [['it', 'is', 'proven', 'that', 'if', 'an', 'interpolation', 'map', 'between', 'two', 'wavelet', 'sets', 'preserves', 'the', 'union', 'of', 'the', 'sets', 'then', 'the', 'pair', 'must', 'be', 'an', 'interpolation', 'pair', 'we', 'also', 'construct', 'an', 'example', 'of', 'a', 'pair', 'of', 'wavelet', 'sets', 'for', 'which', 'the', 'congruence', 'domains', 'of', 'the', 'associated', 'interpolation', 'map', 'and', 'its', 'inverse', 'are', 'equal', 'and', 'yet', 'the', 'pair', 'is', 'not', 'an', 'interpolation', 'pair', 'the', 'first', 'result', 'solves', 'affirmatively', 'a', 'problem', 'that', 'the', 'second', 'author', 'had', 'posed', 'several', 'years', 'ago', 'and', 'the', 'second', 'result', 'solves', 'an', 'intriguing', 'problem', 'of', 'd', 'han', 'the', 'key', 'to', 'this', 'counterexample', 'is', 'a', 'special', 'technical', 'lemma', 'on', 'constructing', 'wavelet', 'sets', 'several', 'other', 'applications', 'of', 'this', 'result', 'are', 'also', 'given', 'in', 'addition', 'some', 'problems', 'are', 'posed', 'we', 'also', 'take', 'the', 'opportunity', 'to', 'give', 'some', 'general', 'exposition', 'on', 'wavelet', 'sets', 'and', 'operatortheoretic', 'interpolation', 'of', 'wavelets']] | [-0.10961682137998718, 0.02512939247115153, -0.09761018372244305, 0.11429433402243173, -0.08065983216554203, -0.11296175627244844, -0.0033132602357202104, 0.36548285067633346, -0.35123052420439543, -0.24505162064193023, 0.14977074993463854, -0.2896871244724564, -0.17776223139630423, 0.254063188329477, -0.11010085193923226, 0.041442740615026126, 0.07269583316519856, 0.020639572989333558, -0.0590325720573741, -0.32182717906932035, 0.3708480800467509, 0.007064591713801578, 0.2122757959507268, 0.08204246075409982, 0.1122319545838292, -0.010476110565165678, -0.07164388218618653, -0.03615669107961434, -0.11357321080081251, 0.15071142674423754, 0.2218675840852989, 0.16519225924103348, 0.3209226782123248, -0.35318697397079735, -0.1494054635538271, 0.15267546849618494, 0.11660217244729952, 0.08125631727054025, -0.054539506477131336, -0.2612389234756982, 0.08926044086606622, -0.11209575090971258, -0.11386133583124589, -0.08462450916585684, 0.058250502759107835, -0.025856040632007297, -0.2771837357811078, 0.02389650320121156, 0.14334530719357577, 0.0589580142594598, -0.06916406707993399, -0.09294144073070061, 0.031909526929397275, 0.10248002890428459, 0.02511954126983053, 0.08357878601592449, -0.014030195734705085, -0.03218658056662038, -0.1430318602360785, 0.37169203778245935, 0.012747954799339857, -0.23778664381415757, 0.1911586902897667, -0.0886487840226403, -0.16536177191538393, 0.0629665778234118, 0.13176206853930597, 0.11191711641440634, -0.14794340110728862, 0.10671393474891644, -0.15343337394814524, 0.13118866113600908, 0.17122194687490938, -0.0027432016834306222, 0.13112805665091232, 0.11259178909369641, 0.1333984601466606, 0.14901153925349245, -0.0430267592620415, -0.03450411050752909, -0.3413075702454619, -0.15403478206652735, -0.21264617501723546, -0.0019013205248888374, -0.08802447585621849, -0.19012718989203373, 0.40361992560878945, 0.10882226996365245, 0.2086479044036457, 0.03482756524743443, 0.2527098951568068, 0.14546667906559177, -0.004056119202330053, 0.05592726007172907, 0.15894369169146996, 0.15257493330303717, 0.04451580404614409, -0.10512702507527408, 0.01327191413966594, 0.17058445952608492] |
710.531 | Twisting type N vacuums with cosmological constant | We provide the first examples of vacuum metrics with cosmological constant
which have a twisting quadruple principal null direction.
| gr-qc | we provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null direction | [['we', 'provide', 'the', 'first', 'examples', 'of', 'vacuum', 'metrics', 'with', 'cosmological', 'constant', 'which', 'have', 'a', 'twisting', 'quadruple', 'principal', 'null', 'direction']] | [-0.2285370409096542, 0.07084729507761567, -0.03812922743198119, -0.007644058701484219, -0.1338061971687957, -0.1914243580234286, -0.06636480374359771, 0.40139149933269147, -0.1976052824603884, -0.24310691135102197, 0.08425663981439643, -0.2122439667582512, -0.13669617640736856, 0.1857691644445846, 0.019175820150657705, 0.049972563785941976, 0.08928691176697612, 0.0754670768770953, -0.1248441482158868, -0.28238600982647194, 0.4370707822473426, 0.097086791439276, 0.21223815785426842, -0.0260688309361668, 0.15907352314771792, -0.09747715630127411, -0.006430642287197866, 0.07332308458679013, -0.23058107029646635, 0.09429827651106998, 0.1564449365495851, 0.11200635703770738, 0.23057849430724195, -0.3384632942707915, -0.18524511366788493, 0.11140870881315909, 0.10005080729330841, 0.16906514226483474, -0.07311410731390904, -0.285416051157211, 0.11687134858220816, -0.11895486928130451, -0.17347023008685364, -0.11424603514177234, -0.04507612396570805, 0.02803420888161973, -0.18793329165170067, 0.07108299399873144, 0.012960722179789292, 0.04040157961610116, -0.09885123715196785, -0.0979340911205662, 0.03143905701213762, 0.09030519668503027, 0.1892085386146056, 0.03570500494127995, 0.12494207511803038, -0.02962274884645778, -0.2106329232552334, 0.345147218653246, -0.1245615381539162, -0.27934506398282555, 0.04367213745258356, -0.14467483528546596, -0.1798238342039679, 0.10694604249377, 0.0919683415834841, 0.148056232811589, -0.0862276037468722, 0.11126752614386771, -0.0324724695008052, 0.09496100364547026, 0.13337461821930974, -0.04492905539901633, 0.26354264972829505, 0.043346907747419255, 0.10358833062070373, 0.11756149973524244, -0.10522543712470092, -0.013422218984679171, -0.4509554230853131, -0.25863378896917166, -0.09963624199276398, 0.1467323986519324, -0.20440108583945976, -0.2948401811483659, 0.4092266226285382, 0.0550355183138316, 0.19964722173876667, 0.04627533571328968, 0.288118414580822, 0.04529876134505397, 0.043618444855766075, 0.04802258312702179, 0.36105883199917643, 0.1627080786581102, 0.03977280257171706, -0.14891176200226733, -0.032936614521436, 0.03986003676331357] |
710.5311 | Gravitino Dark Matter and Light Element Adundances | We discuss the scenario where the gravitino is the lightest supersymmetric
particle and the long-lived next-to-lightest sparticle (NSP) is the neutralino
or the stau, the charged partner of the tau lepton. In this case staus form
bound states with several nuclei, affecting the cosmological abundances of Li6
and Li7 by enhancing nuclear rates that would otherwise be strongly suppressed.
We consider the effects of these enhanced rates on the final abundances
produced in Big-Bang nucleosynthesis (BBN), including injections of both
electromagnetic and hadronic energy during and after BBN. We show that if the
stau lifetime is longer than 10^3-10^4 s, the abundances of Li6 and Li7 are far
in excess of those allowed by observations. For shorter lifetimes of order 1000
s, it appears that stau bound state effect could reduce the Li7 abundance from
standard BBN values while at the same time enhancing the Li6 abundance,
creating a region where both lithium abundances match their plateau values.
| hep-ph | we discuss the scenario where the gravitino is the lightest supersymmetric particle and the longlived nexttolightest sparticle nsp is the neutralino or the stau the charged partner of the tau lepton in this case staus form bound states with several nuclei affecting the cosmological abundances of li6 and li7 by enhancing nuclear rates that would otherwise be strongly suppressed we consider the effects of these enhanced rates on the final abundances produced in bigbang nucleosynthesis bbn including injections of both electromagnetic and hadronic energy during and after bbn we show that if the stau lifetime is longer than 103104 s the abundances of li6 and li7 are far in excess of those allowed by observations for shorter lifetimes of order 1000 s it appears that stau bound state effect could reduce the li7 abundance from standard bbn values while at the same time enhancing the li6 abundance creating a region where both lithium abundances match their plateau values | [['we', 'discuss', 'the', 'scenario', 'where', 'the', 'gravitino', 'is', 'the', 'lightest', 'supersymmetric', 'particle', 'and', 'the', 'longlived', 'nexttolightest', 'sparticle', 'nsp', 'is', 'the', 'neutralino', 'or', 'the', 'stau', 'the', 'charged', 'partner', 'of', 'the', 'tau', 'lepton', 'in', 'this', 'case', 'staus', 'form', 'bound', 'states', 'with', 'several', 'nuclei', 'affecting', 'the', 'cosmological', 'abundances', 'of', 'li6', 'and', 'li7', 'by', 'enhancing', 'nuclear', 'rates', 'that', 'would', 'otherwise', 'be', 'strongly', 'suppressed', 'we', 'consider', 'the', 'effects', 'of', 'these', 'enhanced', 'rates', 'on', 'the', 'final', 'abundances', 'produced', 'in', 'bigbang', 'nucleosynthesis', 'bbn', 'including', 'injections', 'of', 'both', 'electromagnetic', 'and', 'hadronic', 'energy', 'during', 'and', 'after', 'bbn', 'we', 'show', 'that', 'if', 'the', 'stau', 'lifetime', 'is', 'longer', 'than', '103104', 's', 'the', 'abundances', 'of', 'li6', 'and', 'li7', 'are', 'far', 'in', 'excess', 'of', 'those', 'allowed', 'by', 'observations', 'for', 'shorter', 'lifetimes', 'of', 'order', '1000', 's', 'it', 'appears', 'that', 'stau', 'bound', 'state', 'effect', 'could', 'reduce', 'the', 'li7', 'abundance', 'from', 'standard', 'bbn', 'values', 'while', 'at', 'the', 'same', 'time', 'enhancing', 'the', 'li6', 'abundance', 'creating', 'a', 'region', 'where', 'both', 'lithium', 'abundances', 'match', 'their', 'plateau', 'values']] | [-0.050536813519458886, 0.32215642480509754, -0.006977065454555463, 0.14791878846420942, 0.00023308592477129606, -0.15369800404539402, 0.053491454984096784, 0.305839765467681, -0.21185727646173555, -0.34323574147552627, 0.046289488949512334, -0.3140829281728196, 0.08602047675507309, 0.13298491943226773, 0.01901522576878926, 0.020926623514011984, 0.11396096256057602, 0.013022739472622169, -0.0509513862492941, -0.2658501876616862, 0.26256607599037735, 0.10948500099674432, 0.16221063613561512, 0.07486362964551471, -0.06274728023718242, -0.09873853891769636, 0.005178220204631739, -0.08735819779265719, -0.14850864841972436, 0.0558991898009642, 0.20152805106348912, 0.15669541763837297, 0.1351884267163239, -0.429602533414565, -0.19721970992174612, 0.24515708210241474, 0.18562797307555529, 0.11199057262237597, -0.12114039437824718, -0.2966691214330435, 0.062960470546202, -0.1794929749868763, -0.0976564872323217, 0.028419110558089312, 0.016412214912427, -0.09763480781296068, -0.2724025374391894, 0.13015618243699015, -0.043830245001981315, -0.06510267896825282, -0.06085936937044976, -0.19470904298039018, -0.0812590870935517, -0.001003008443402433, 0.14596490719712257, -0.058260474358449534, 0.201206037365018, -0.1629434024688163, -0.04108655827320358, 0.4123209637436497, -0.15331492301850666, -0.06414751969336803, 0.1363332005647966, -0.19499298823478667, -0.15155028608993074, 0.16139773079754102, 0.12193249557108347, 0.15614192136062333, -0.10898297615614543, 0.13636190608943977, 0.013378291747450262, 0.19785553140895842, 0.11124271998783172, 0.08111995032581772, 0.26657070681641376, 0.19220715957175044, 0.05043928453675176, 0.024294469799534004, -0.12272811846224049, -0.08682545859814633, -0.3168039304333963, -0.14716396576215077, -0.044656757960874066, 0.06326318958323283, -0.10292764142457, -0.0757795910622123, 0.3467977509489047, 0.09912971792229792, 0.26740741221340303, 0.011955271357128138, 0.3122729684927654, 0.06824173252510873, 0.02484999233974686, 0.05434551262267264, 0.34676779945722863, 0.125845347929015, 0.08490538486143975, -0.3185402298702776, 0.14300968222131458, 0.030915649236427454] |
710.5312 | Charged current cross section for massive cosmological neutrinos
impinging on radioactive nuclei | We discuss the cross section formula both for massless and massive neutrinos
on stable and radioactive nuclei. The latter could be of interest for the
detection of cosmological neutrinos whose observation is one of the main
challenges of modern cosmology. We analyze the signal to background ratio as a
function of the ratio of the neutrino mass over the detector resolution and
show that an energy resolution less than 0.5 eV would be required for sub-eV
neutrino masses, independently of the gravitational neutrino clustering.
Finally we mention the non-resonant character of neutrino capture on
radioactive nuclei.
| astro-ph hep-ex hep-ph nucl-ex nucl-th | we discuss the cross section formula both for massless and massive neutrinos on stable and radioactive nuclei the latter could be of interest for the detection of cosmological neutrinos whose observation is one of the main challenges of modern cosmology we analyze the signal to background ratio as a function of the ratio of the neutrino mass over the detector resolution and show that an energy resolution less than 05 ev would be required for subev neutrino masses independently of the gravitational neutrino clustering finally we mention the nonresonant character of neutrino capture on radioactive nuclei | [['we', 'discuss', 'the', 'cross', 'section', 'formula', 'both', 'for', 'massless', 'and', 'massive', 'neutrinos', 'on', 'stable', 'and', 'radioactive', 'nuclei', 'the', 'latter', 'could', 'be', 'of', 'interest', 'for', 'the', 'detection', 'of', 'cosmological', 'neutrinos', 'whose', 'observation', 'is', 'one', 'of', 'the', 'main', 'challenges', 'of', 'modern', 'cosmology', 'we', 'analyze', 'the', 'signal', 'to', 'background', 'ratio', 'as', 'a', 'function', 'of', 'the', 'ratio', 'of', 'the', 'neutrino', 'mass', 'over', 'the', 'detector', 'resolution', 'and', 'show', 'that', 'an', 'energy', 'resolution', 'less', 'than', '05', 'ev', 'would', 'be', 'required', 'for', 'subev', 'neutrino', 'masses', 'independently', 'of', 'the', 'gravitational', 'neutrino', 'clustering', 'finally', 'we', 'mention', 'the', 'nonresonant', 'character', 'of', 'neutrino', 'capture', 'on', 'radioactive', 'nuclei']] | [-0.07218679156115589, 0.20031039891803934, -0.021000603888145026, 0.1802880979873104, -0.019561822574663285, -0.09543941889326864, 0.0060881543189073755, 0.33507326478138566, -0.20340040898008738, -0.32772520275223843, 0.04143193959680502, -0.3145480543510833, -0.0016599191391530137, 0.2328582584329221, 0.015475652677802524, -0.0005163162034781029, 0.06006849182813312, 0.0545365017799971, -0.079787147861983, -0.23416283430318194, 0.32515357171723736, 0.16233107867689492, 0.2115719110200492, 0.09193702804623172, 0.11936060744089143, -0.033186402770904046, -0.07235525395177926, -0.09251885324677762, -0.08864768595268895, 0.06541184368931378, 0.21518881021377942, 0.1582244242345041, 0.14360614911614297, -0.37851674915873446, -0.18882106193147288, 0.18055350292403696, 0.17277608591636331, 0.09078811334135632, -0.0961395026849156, -0.3006853455638823, 0.09976841536990833, -0.21118860071874224, -0.13299205769241476, -0.006596878537190302, -0.021272389727528207, 0.003913259817636572, -0.2439289118628949, 0.06804547393403482, -0.03705851570703089, -0.05569305855897255, -0.08276236890621173, -0.17698594574418772, 0.030536018549658667, 0.047334831872528106, 0.15676000093177814, -0.053842319398730375, 0.15848041001784927, -0.17785578890470788, -0.065883944267019, 0.4262832846240296, -0.057529181709014665, -0.12411974903079681, 0.13437285742838867, -0.17730525425092006, -0.12867219873442082, 0.17022957531541275, 0.19405612992704846, 0.10432656569416092, -0.14513152705815932, 0.07093797719001789, -0.030799437542251933, 0.2180301426172567, 0.08874716326924197, 0.054007237917782426, 0.3153309837289271, 0.23593804858198078, 0.1032683056643388, -0.031653183241966566, -0.19546173336129868, 0.01484954008871379, -0.33233864419162273, -0.153008308473242, -0.12321240668097744, 0.11125654288722824, -0.09894592465282888, -0.12212027760688215, 0.3923009014300381, 0.1289670289940356, 0.18906029260203164, 0.024244517536620453, 0.32199868335737847, 0.09531684013199992, 0.03394666264163485, -0.00842141397394395, 0.336892434686888, 0.16273900230347257, 0.08105726269786828, -0.24539956992763715, -0.015412464606924914, 0.03805472505337093] |
710.5313 | The Nature of the Vector and Scalar Potentials and Gauge Invariance in
the Context of Gauge Theory | Modern undergraduate textbooks in electricity and magnetism typically focus
on a force representation of electrodynamics with an emphasis on Maxwell's
Equations and the Lorentz Force Law. The vector potential $\mathbf{A}$ and
scalar potential $\Phi$ play a secondary role mainly as quantities used to
calculate the electric and magnetic fields. However, quantum mechanics
including quantum electrodynamics (QED) and other gauge theories demands a
potential ($\Phi$,$\mathbf{A}$) oriented representation where the potentials
are the more fundamental quantities. Here, we help bridge that gap by showing
that the homogeneous Maxwell's equations together with the Lorentz Force Law
can be derived from assuming that the potentials represent potential energy and
momentum per unit charge. Furthermore, we enumerate the additional assumptions
that are needed to derive the inhomogeneous Maxwell's equations. As part of
this work we demonstrate the physical nature and importance of gauge
invariance.
| physics.gen-ph | modern undergraduate textbooks in electricity and magnetism typically focus on a force representation of electrodynamics with an emphasis on maxwells equations and the lorentz force law the vector potential mathbfa and scalar potential phi play a secondary role mainly as quantities used to calculate the electric and magnetic fields however quantum mechanics including quantum electrodynamics qed and other gauge theories demands a potential phimathbfa oriented representation where the potentials are the more fundamental quantities here we help bridge that gap by showing that the homogeneous maxwells equations together with the lorentz force law can be derived from assuming that the potentials represent potential energy and momentum per unit charge furthermore we enumerate the additional assumptions that are needed to derive the inhomogeneous maxwells equations as part of this work we demonstrate the physical nature and importance of gauge invariance | [['modern', 'undergraduate', 'textbooks', 'in', 'electricity', 'and', 'magnetism', 'typically', 'focus', 'on', 'a', 'force', 'representation', 'of', 'electrodynamics', 'with', 'an', 'emphasis', 'on', 'maxwells', 'equations', 'and', 'the', 'lorentz', 'force', 'law', 'the', 'vector', 'potential', 'mathbfa', 'and', 'scalar', 'potential', 'phi', 'play', 'a', 'secondary', 'role', 'mainly', 'as', 'quantities', 'used', 'to', 'calculate', 'the', 'electric', 'and', 'magnetic', 'fields', 'however', 'quantum', 'mechanics', 'including', 'quantum', 'electrodynamics', 'qed', 'and', 'other', 'gauge', 'theories', 'demands', 'a', 'potential', 'phimathbfa', 'oriented', 'representation', 'where', 'the', 'potentials', 'are', 'the', 'more', 'fundamental', 'quantities', 'here', 'we', 'help', 'bridge', 'that', 'gap', 'by', 'showing', 'that', 'the', 'homogeneous', 'maxwells', 'equations', 'together', 'with', 'the', 'lorentz', 'force', 'law', 'can', 'be', 'derived', 'from', 'assuming', 'that', 'the', 'potentials', 'represent', 'potential', 'energy', 'and', 'momentum', 'per', 'unit', 'charge', 'furthermore', 'we', 'enumerate', 'the', 'additional', 'assumptions', 'that', 'are', 'needed', 'to', 'derive', 'the', 'inhomogeneous', 'maxwells', 'equations', 'as', 'part', 'of', 'this', 'work', 'we', 'demonstrate', 'the', 'physical', 'nature', 'and', 'importance', 'of', 'gauge', 'invariance']] | [-0.13146035731820713, 0.16595531028429253, -0.08587979336026245, 0.06652153111518481, -0.1131782048429106, -0.13551789251210142, -0.005609424592441191, 0.33811686795366847, -0.24923981897080777, -0.3299335660497267, 0.024457147846882486, -0.27262869141186064, -0.17585873212732805, 0.18359538113894075, -0.007050604093819857, 0.04871694202723818, -0.01750590696600198, 0.049666262528710606, -0.04571962582311877, -0.197608993389556, 0.3369932799748536, 0.043517830779951444, 0.27252055811223347, 0.06321011187232005, 0.10830543529933177, -0.002286933878760623, 0.003237891115545147, 0.026913193290702242, -0.08384547404969361, 0.1271774341247679, 0.19338330500961645, 0.027478727181374594, 0.23954913830317126, -0.5146222061113171, -0.22535090569568716, 0.07693926269269508, 0.08735686281874804, 0.09859740591365034, -0.10001366235878052, -0.2667264019179603, -0.005715636786181426, -0.13316105558550445, -0.1672979326179737, -0.12105208334337542, 0.02246958113518422, 0.04476397758454381, -0.24797455973896212, 0.08442039054858944, 0.04627786405077474, 0.06630210228183347, -0.11180002627509605, -0.10218719891070024, 0.0014693346498804033, 0.10712848937449355, 0.0718505138850204, 0.05628304006329373, 0.17498254297854568, -0.18940592242533044, -0.10909454734486433, 0.45300257905129937, -0.04518518005194062, -0.26197647872259433, 0.13377503673647248, -0.12353606591932476, -0.11859769268683495, 0.04941505904181226, 0.16871536244381813, 0.0719126799921851, -0.18516425037355014, 0.1430377782616879, 0.004655263865825491, 0.15333692618794198, 0.05599211318337399, 0.05109925013865628, 0.23765685186599908, 0.04970877431417424, 0.015183203061114646, 0.08848842048125032, -0.012533350764146156, -0.1507345824299947, -0.38046759436500893, -0.18456894674243918, -0.17599971020135327, 0.11299077116237258, -0.07971964693601678, -0.13070693399514194, 0.3330883699860694, 0.17476033833404275, 0.10658018674323524, 0.010490002172182489, 0.2904606024275763, 0.16460727476953543, 0.09176387463399358, 0.05879671767731939, 0.26201451494378725, 0.19563751403357077, 0.14555251596670976, -0.223744872361894, -0.04346011365102469, 0.07754776869779048] |
710.5314 | On tangential stabilization in curvature driven flows of planar curves | We discuss the role of tangential stabilization in a curvature driven flow of
planar curves. The governing system of nonlinear parabolic equations includes a
nontrivial tangential velocity functional yielding a uniform redistribution of
grid points along the evolving family of curves preventing numerically computed
curves from forming various instabilities.
| math.NA | we discuss the role of tangential stabilization in a curvature driven flow of planar curves the governing system of nonlinear parabolic equations includes a nontrivial tangential velocity functional yielding a uniform redistribution of grid points along the evolving family of curves preventing numerically computed curves from forming various instabilities | [['we', 'discuss', 'the', 'role', 'of', 'tangential', 'stabilization', 'in', 'a', 'curvature', 'driven', 'flow', 'of', 'planar', 'curves', 'the', 'governing', 'system', 'of', 'nonlinear', 'parabolic', 'equations', 'includes', 'a', 'nontrivial', 'tangential', 'velocity', 'functional', 'yielding', 'a', 'uniform', 'redistribution', 'of', 'grid', 'points', 'along', 'the', 'evolving', 'family', 'of', 'curves', 'preventing', 'numerically', 'computed', 'curves', 'from', 'forming', 'various', 'instabilities']] | [-0.2712494755467894, 0.11092368541855593, -0.11378801741390204, 0.01272987228894264, -0.09723557193516469, -0.09029380613177711, -0.015559185068218075, 0.3201758803761735, -0.32187582012646054, -0.22700116825670155, 0.07486372990106062, -0.24083184707453664, -0.13028686147715365, 0.26753511584520684, -0.03597376022335826, 0.07701027355327898, 0.02557583973857061, -0.062474410396487434, -0.09820121698252553, -0.19396816058160396, 0.3762731681368789, -0.06590465005672518, 0.24128235024114958, -0.036219118400571904, 0.1373050127710615, 0.0065959722174293535, -0.047821692490418045, 0.08029210820261921, -0.2075745487889769, 0.1291077049087961, 0.1675157683844469, -0.017574080299319967, 0.24553946078735955, -0.4389203307123817, -0.2931801953486034, 0.09144623079622279, 0.1332133520366054, 0.11194716382543651, -0.0802229193647449, -0.2046469892755303, 0.03739890448597013, -0.09201321558912798, -0.3021155598060209, -0.04652853617539667, 0.009404556246056241, 0.10195249967201024, -0.19421264590524442, 0.13350985053812667, 0.08157406859479997, 0.14633970107046926, -0.1519742060300647, -0.05722153098179902, -0.16702464684055243, 0.09476620089072658, 0.0063701632328103395, -0.017833384466642628, 0.12185355155177567, -0.16513320662993558, -0.020254821383527348, 0.3818579962968883, -0.08122317922035498, -0.1970173294598959, 0.11715530529998396, -0.10335050044315201, -0.05974937398556848, 0.2012752329607551, 0.2373258500378959, 0.12769419452821723, -0.11626588594054385, 0.07125624514431977, 0.02559091434909069, 0.07464098827248174, 0.10672175034652559, -0.06823349070298124, 0.23545759844080527, 0.11366163083941352, 0.1059262949916325, 0.16591098943335594, -0.09721760585790082, -0.17118443816672174, -0.3564062448484557, -0.13790251462891392, -0.07735180341619619, 0.05271340587309429, -0.13570136941342179, -0.2536350153196527, 0.4171859299269866, 0.013346550644052272, 0.21068947388771542, -0.0026860642341934903, 0.23314451220996527, 0.15018677038653772, 0.004294166160861449, 0.10869694687129113, 0.2302577716478964, 0.20398865185906084, 0.08283744936295766, -0.28217235395247686, 0.028025838004767288, 0.11828815051335462] |
710.5315 | New Duality Relations for Classical Ground States | We derive new duality relations that link the energy of configurations
associated with a class of soft pair potentials to the corresponding energy of
the dual (Fourier-transformed) potential. We apply them by showing how
information about the classical ground states of short-ranged potentials can be
used to draw new conclusions about the nature of the ground states of
long-ranged potentials and vice versa. They also lead to bounds on the T=0
system energies in density intervals of phase coexistence, the identification
of a one-dimensional system that exhibits an infinite number of ``phase
transitions," and a conjecture regarding the ground states of purely repulsive
monotonic potentials.
| cond-mat.soft cond-mat.stat-mech | we derive new duality relations that link the energy of configurations associated with a class of soft pair potentials to the corresponding energy of the dual fouriertransformed potential we apply them by showing how information about the classical ground states of shortranged potentials can be used to draw new conclusions about the nature of the ground states of longranged potentials and vice versa they also lead to bounds on the t0 system energies in density intervals of phase coexistence the identification of a onedimensional system that exhibits an infinite number of phase transitions and a conjecture regarding the ground states of purely repulsive monotonic potentials | [['we', 'derive', 'new', 'duality', 'relations', 'that', 'link', 'the', 'energy', 'of', 'configurations', 'associated', 'with', 'a', 'class', 'of', 'soft', 'pair', 'potentials', 'to', 'the', 'corresponding', 'energy', 'of', 'the', 'dual', 'fouriertransformed', 'potential', 'we', 'apply', 'them', 'by', 'showing', 'how', 'information', 'about', 'the', 'classical', 'ground', 'states', 'of', 'shortranged', 'potentials', 'can', 'be', 'used', 'to', 'draw', 'new', 'conclusions', 'about', 'the', 'nature', 'of', 'the', 'ground', 'states', 'of', 'longranged', 'potentials', 'and', 'vice', 'versa', 'they', 'also', 'lead', 'to', 'bounds', 'on', 'the', 't0', 'system', 'energies', 'in', 'density', 'intervals', 'of', 'phase', 'coexistence', 'the', 'identification', 'of', 'a', 'onedimensional', 'system', 'that', 'exhibits', 'an', 'infinite', 'number', 'of', 'phase', 'transitions', 'and', 'a', 'conjecture', 'regarding', 'the', 'ground', 'states', 'of', 'purely', 'repulsive', 'monotonic', 'potentials']] | [-0.15814850083774046, 0.17063109407303967, -0.13635458469257822, 0.10660328624681348, -0.02320921470056332, -0.1560223307948382, 0.10124871375571404, 0.33790580591275576, -0.25692042143616295, -0.2748632182544541, 0.053670220866444567, -0.2953769917355939, -0.13266651490259737, 0.13150959286971817, 0.009615888207086495, 0.012710836299118542, 0.03810190071928359, 0.04938511441772183, -0.11123310840311681, -0.19085566695069983, 0.34682929504307963, -0.005409613393601917, 0.25983876864470185, 0.1180933621202019, 0.0357766721375464, 0.026407263778327476, 0.07289458903084908, 0.016141710390469858, -0.1429975219011318, 0.12091218783087762, 0.19935982953757048, 0.08045019383231798, 0.20307414938828774, -0.43241451942317544, -0.1906340915909303, 0.1505071385408796, 0.09963408323182237, 0.1269290053573925, -0.03370228454670204, -0.33141281673950806, 0.024323901744736802, -0.1528587214471329, -0.20885892097527783, -0.12834754349397762, 0.0264565392197775, 0.07078925266617998, -0.23912459688172455, 0.1077492317425952, 0.07730568851388636, 0.0130660411325239, -0.13353473264724017, -0.09290561711726089, -0.05528235773422888, 0.12451072749460028, 0.01914840171534923, 0.0044370388157577035, 0.06918566099234989, -0.1644727554527067, -0.13493269743575226, 0.32395758773865446, -0.03362469966218452, -0.17178893979372722, 0.2467849750337856, -0.10065744837657327, -0.097317821426051, 0.15293934964353129, 0.14443397330275426, 0.07116384385375395, -0.11470004260273917, 0.05894897126376496, 0.0043086274338531355, 0.18430219608153925, 0.041385234659537674, 0.06553749220135312, 0.22735211693105242, 0.06814524595670048, 0.07565880872841392, 0.18657278425525875, -0.061227934138705246, -0.15062826421289216, -0.31760645303875207, -0.13961754176499588, -0.19927483408578806, 0.039259582416464885, -0.061758733212315876, -0.17429499726276845, 0.4175461270358591, 0.1200037391008144, 0.2075317107540156, 0.04780805693229749, 0.20882767147961118, 0.1251003363302776, 0.015988808830401727, 0.018727274586091795, 0.2503283154041994, 0.16851638955773696, 0.08497308160267061, -0.21518445634948355, 0.003737357312015125, 0.06761597053680037] |
710.5316 | Some symmetry properties of spin currents and spin polarizations in
multi-terminal mesoscopic spin-orbit coupled systems | We study theoretically some symmetry properties of spin currents and spin
polarizations in multi-terminal mesoscopic spin-orbit coupled systems. Based on
a scattering wave function approach, we show rigorously that in the equilibrium
state no finite spin polarizations can exist in a multi-terminal mesoscopic
spin-orbit coupled system (both in the leads and in the spin-orbit coupled
region) and also no finite equilibrium terminal spin currents can exist. By use
of a typical two-terminal mesoscopic spin-orbit coupled system as the example,
we show explicitly that the nonequilibrium terminal spin currents in a
multi-terminal mesoscopic spin-orbit coupled system are non-conservative in
general. This non-conservation of terminal spin currents is not caused by the
use of an improper definition of spin current but is intrinsic to
spin-dependent transports in mesoscopic spin-orbit coupled systems. We also
show that the nonequilibrium lateral edge spin accumulation induced by a
longitudinal charge current in a thin strip of \textit{finite} length of a
two-dimensional electronic system with intrinsic spin-orbit coupling may be
non-antisymmetric in general, which implies that some cautions may need to be
taken when attributing the occurrence of nonequilibrium lateral edge spin
accumulation induced by a longitudinal charge current in such a system to an
intrinsic spin Hall effect.
| cond-mat.mes-hall | we study theoretically some symmetry properties of spin currents and spin polarizations in multiterminal mesoscopic spinorbit coupled systems based on a scattering wave function approach we show rigorously that in the equilibrium state no finite spin polarizations can exist in a multiterminal mesoscopic spinorbit coupled system both in the leads and in the spinorbit coupled region and also no finite equilibrium terminal spin currents can exist by use of a typical twoterminal mesoscopic spinorbit coupled system as the example we show explicitly that the nonequilibrium terminal spin currents in a multiterminal mesoscopic spinorbit coupled system are nonconservative in general this nonconservation of terminal spin currents is not caused by the use of an improper definition of spin current but is intrinsic to spindependent transports in mesoscopic spinorbit coupled systems we also show that the nonequilibrium lateral edge spin accumulation induced by a longitudinal charge current in a thin strip of textitfinite length of a twodimensional electronic system with intrinsic spinorbit coupling may be nonantisymmetric in general which implies that some cautions may need to be taken when attributing the occurrence of nonequilibrium lateral edge spin accumulation induced by a longitudinal charge current in such a system to an intrinsic spin hall effect | [['we', 'study', 'theoretically', 'some', 'symmetry', 'properties', 'of', 'spin', 'currents', 'and', 'spin', 'polarizations', 'in', 'multiterminal', 'mesoscopic', 'spinorbit', 'coupled', 'systems', 'based', 'on', 'a', 'scattering', 'wave', 'function', 'approach', 'we', 'show', 'rigorously', 'that', 'in', 'the', 'equilibrium', 'state', 'no', 'finite', 'spin', 'polarizations', 'can', 'exist', 'in', 'a', 'multiterminal', 'mesoscopic', 'spinorbit', 'coupled', 'system', 'both', 'in', 'the', 'leads', 'and', 'in', 'the', 'spinorbit', 'coupled', 'region', 'and', 'also', 'no', 'finite', 'equilibrium', 'terminal', 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710.5317 | All superconformal surfaces in \R^4 in terms of minimal surfaces | We give an explicit construction of any simply-connected superconformal
surface $\phi\colon M^2\to \R^4$ in Euclidean space in terms of a pair of
conjugate minimal surfaces $g,h\colon M^2\to\R^4$. That $\phi$ is
superconformal means that its ellipse of curvature is a circle at any point. We
characterize the pairs $(g,h)$ of conjugate minimal surfaces that give rise to
images of holomorphic curves by an inversion in $\R^4$ and to images of
superminimal surfaces in either a sphere $\Sf^4$ or a hyperbolic space $\Hy^4$
by an stereographic projection. We also determine the relation between the
pairs $(g,h)$ of conjugate minimal surfaces associated to a superconformal
surface and its image by an inversion. In particular, this yields a new
transformation for minimal surfaces in $\R^4$.
| math.DG | we give an explicit construction of any simplyconnected superconformal surface phicolon m2to r4 in euclidean space in terms of a pair of conjugate minimal surfaces ghcolon m2tor4 that phi is superconformal means that its ellipse of curvature is a circle at any point we characterize the pairs gh of conjugate minimal surfaces that give rise to images of holomorphic curves by an inversion in r4 and to images of superminimal surfaces in either a sphere sf4 or a hyperbolic space hy4 by an stereographic projection we also determine the relation between the pairs gh of conjugate minimal surfaces associated to a superconformal surface and its image by an inversion in particular this yields a new transformation for minimal surfaces in r4 | [['we', 'give', 'an', 'explicit', 'construction', 'of', 'any', 'simplyconnected', 'superconformal', 'surface', 'phicolon', 'm2to', 'r4', 'in', 'euclidean', 'space', 'in', 'terms', 'of', 'a', 'pair', 'of', 'conjugate', 'minimal', 'surfaces', 'ghcolon', 'm2tor4', 'that', 'phi', 'is', 'superconformal', 'means', 'that', 'its', 'ellipse', 'of', 'curvature', 'is', 'a', 'circle', 'at', 'any', 'point', 'we', 'characterize', 'the', 'pairs', 'gh', 'of', 'conjugate', 'minimal', 'surfaces', 'that', 'give', 'rise', 'to', 'images', 'of', 'holomorphic', 'curves', 'by', 'an', 'inversion', 'in', 'r4', 'and', 'to', 'images', 'of', 'superminimal', 'surfaces', 'in', 'either', 'a', 'sphere', 'sf4', 'or', 'a', 'hyperbolic', 'space', 'hy4', 'by', 'an', 'stereographic', 'projection', 'we', 'also', 'determine', 'the', 'relation', 'between', 'the', 'pairs', 'gh', 'of', 'conjugate', 'minimal', 'surfaces', 'associated', 'to', 'a', 'superconformal', 'surface', 'and', 'its', 'image', 'by', 'an', 'inversion', 'in', 'particular', 'this', 'yields', 'a', 'new', 'transformation', 'for', 'minimal', 'surfaces', 'in', 'r4']] | [-0.15911256532302198, 0.10042740243681755, -0.09885836323193306, 0.06963324310069358, -0.08928989277197176, -0.12654771162839284, -0.006012521876857199, 0.38899158713696846, -0.24834155501669336, -0.22346221074333478, 0.07438247429873344, -0.2903475664788857, -0.20218261903159898, 0.19429354546069777, -0.15353053764857608, 0.005553915786580986, -0.0012043094431082237, 0.05184379501412783, -0.1859183718293809, -0.23905156189896937, 0.36609771081792386, -0.04724925364656695, 0.19540591240491204, 0.052721457752591835, 0.1373299655006749, 0.014542969549877634, 0.03162397471545585, -0.027466936505114628, -0.1657136367414531, 0.1744874470770873, 0.21544829493083445, 0.06174815107329652, 0.10457251095895431, -0.40761321836054837, -0.19957147289347504, 0.18897973986117747, 0.13135336316592092, 0.03215034457790698, -0.06415398069255954, -0.2514643642794469, 0.05598991726633515, -0.06950820195649204, -0.18071342972187518, -0.07580975904771738, 0.06717161707989551, -0.06733896896435783, -0.20326355512350283, 0.005129134053496618, 0.11329792594087534, 0.14378718876055088, -0.02648330435502054, -0.02293475475242554, -0.13358293294280382, 0.069189040578404, 0.018703080537118787, 0.11386543745576436, 0.07956684920695964, -0.1265996674453069, -0.10030290854147411, 0.3782911951460972, -0.09766142073504884, -0.30469502526704734, 0.1273858063003241, -0.13406880979891866, -0.09553046962888591, 0.18540299567393959, 0.15122121873568614, 0.15878476994112134, -0.10695798183060733, 0.1926595648291023, -0.07839737496045739, 0.10447465420569141, 0.11085475796576717, -0.06541325441352895, 0.19746925408855595, 0.03790222976862549, 0.16463094000385448, 0.15512186621319793, -0.08126769155908199, -0.0037048729297159046, -0.4184570508800319, -0.275218543189363, -0.18291524934164924, 0.07325940167708002, -0.13990472469068382, -0.19964910971386166, 0.3832461997657886, -0.015569257582056111, 0.25870106171350926, 0.06100593600422144, 0.20684174783046133, 0.061179354797410455, 0.07477705154150467, 0.06751224728590198, 0.16495369795452933, 0.1383783395847723, -0.06271803952705372, -0.18739276873911248, -0.10477456698145975, 0.16663327935585304] |
710.5318 | Phase diagram of a Bose gas near a wide Feshbach resonance | In this paper, we study the phase diagram of a homogeneous Bose gas with a
repulsive interaction near a wide Feshbach resonance at zero temperature. The
Bose-Einstein-condensation (BEC) state of atoms is a metastable state. When the
scattering length $a$ exceeds a critical value depending on the atom density
$n$, $na^3>0.035$, the molecular excitation energy is imaginary and the atomic
BEC state is dynamically unstable against molecule formation. The BEC state of
diatomic molecules has lower energy, where the atomic excitation is gapped and
the molecular excitation is gapless. However when the scattering length is
above another critical value, $na^3>0.0164$, the molecular BEC state becomes a
unstable coherent mixture of atoms and molecules. In both BEC states, the
binding energy of diatomic molecules is reduced due to the many-body effect.
| cond-mat.other cond-mat.stat-mech cond-mat.str-el cond-mat.supr-con | in this paper we study the phase diagram of a homogeneous bose gas with a repulsive interaction near a wide feshbach resonance at zero temperature the boseeinsteincondensation bec state of atoms is a metastable state when the scattering length a exceeds a critical value depending on the atom density n na30035 the molecular excitation energy is imaginary and the atomic bec state is dynamically unstable against molecule formation the bec state of diatomic molecules has lower energy where the atomic excitation is gapped and the molecular excitation is gapless however when the scattering length is above another critical value na300164 the molecular bec state becomes a unstable coherent mixture of atoms and molecules in both bec states the binding energy of diatomic molecules is reduced due to the manybody effect | [['in', 'this', 'paper', 'we', 'study', 'the', 'phase', 'diagram', 'of', 'a', 'homogeneous', 'bose', 'gas', 'with', 'a', 'repulsive', 'interaction', 'near', 'a', 'wide', 'feshbach', 'resonance', 'at', 'zero', 'temperature', 'the', 'boseeinsteincondensation', 'bec', 'state', 'of', 'atoms', 'is', 'a', 'metastable', 'state', 'when', 'the', 'scattering', 'length', 'a', 'exceeds', 'a', 'critical', 'value', 'depending', 'on', 'the', 'atom', 'density', 'n', 'na30035', 'the', 'molecular', 'excitation', 'energy', 'is', 'imaginary', 'and', 'the', 'atomic', 'bec', 'state', 'is', 'dynamically', 'unstable', 'against', 'molecule', 'formation', 'the', 'bec', 'state', 'of', 'diatomic', 'molecules', 'has', 'lower', 'energy', 'where', 'the', 'atomic', 'excitation', 'is', 'gapped', 'and', 'the', 'molecular', 'excitation', 'is', 'gapless', 'however', 'when', 'the', 'scattering', 'length', 'is', 'above', 'another', 'critical', 'value', 'na300164', 'the', 'molecular', 'bec', 'state', 'becomes', 'a', 'unstable', 'coherent', 'mixture', 'of', 'atoms', 'and', 'molecules', 'in', 'both', 'bec', 'states', 'the', 'binding', 'energy', 'of', 'diatomic', 'molecules', 'is', 'reduced', 'due', 'to', 'the', 'manybody', 'effect']] | [-0.1962433115299973, 0.2878352242987603, -0.06050217188021634, 0.02398681567683525, 0.04296205749051296, -0.1683616852715204, 0.09805343001153233, 0.3246376254828647, -0.2241100459214067, -0.18594982110516867, -0.018164220522521646, -0.3048996806755895, -0.011057575097993322, 0.09469429203454638, 0.13450669184021535, 0.03734313051245408, 0.03653385361940309, 0.06439087622857187, -0.049703150616551284, -0.19383629341245978, 0.35049789932963904, 0.053615737429936416, 0.2749351403617766, 0.14595430785266217, 0.03851910373123246, -0.03387902784561447, 0.2010813675569807, -0.08874631614162354, -0.17670196425024187, 0.06597260300395646, 0.262167150766345, -0.0492801322870946, 0.23600416445697192, -0.4066155514738057, -0.2222510755600524, 0.09920306626008824, 0.2032444972940084, 0.2519757722329814, -0.01279279921016041, -0.3020857994633843, -0.04843527376942802, -0.14749599012066028, -0.16368271422834368, -0.05180396648393071, 0.0730982045570272, 0.03122616238124465, -0.24462823070280137, 0.11310862338723382, 0.013997493866554578, 0.08835886509768898, -0.1395754642508109, -0.09947165491757914, -0.040755594285656116, 0.004227993662880181, -0.03934207292877545, 0.0646479038778125, 0.2348340382850438, -0.19612136843898043, 0.004595269096171251, 0.4096250492075342, -0.1174892709695996, -0.11172797549079405, 0.21955454022463528, -0.12140518177329795, -0.031106556579288736, 0.24989030757751607, 0.08064098806062248, 0.08978829606348881, -0.06049262761121099, 0.0898423272724358, -0.06169265664084378, 0.2448525325889932, 0.09546531423256965, 0.07943003874243004, 0.2661804611416301, 0.19913039472521632, 0.06503394807805307, 0.20007789917144692, -0.1429187621888559, -0.1837169426962646, -0.20553655205003452, -0.16399749088304816, -0.26767767796991393, 0.04631550881094881, 0.0022200942734116325, -0.152734204508306, 0.36008861414302373, 0.05354339074801828, 0.20378604550205637, -0.05569516469620339, 0.3108869144343771, 0.16840437198698055, -0.0030778100008319598, 0.03017509281562525, 0.24380555207608268, 0.1846410900416231, 0.03742536220306647, -0.3555532617137942, 0.027966706311644884, 0.010167479063966312] |
710.5319 | Methods for analytically estimating the resolution and intensity of
neutron time-of-flight spectrometers. The case of the TOFTOF spectrometer | An analytical method is presented with allows to estimate the energy
resolution of time-of-flight neutron spectrometers, as well as its partial
contributions, over a dynamical range that extends from the elastic line to the
accessible inelastic regions. Such a method, already successfully applied in
the past to the TOSCA and HET neutron inelastic scattering spectrometers
installed at the ISIS neutron spallation source [A M Gaspar, PhD Thesis,
Universidade Tecnica de Lisboa, 2004], is here applied to the high resolution
time-of-flight spectrometer TOFTOF, mainly dedicated to quasi-elastic neutron
scattering studies and installed at the new neutron reactor FRM II. To make
such calculations easily understandable, the principle of work of the TOFTOF
instrument and of each of its components is explained in detail. A simply
method that can be used to estimate the instrument intensity, i.e. of the
number of neutrons arriving at the sample position per unit time, is also
briefly outlined.
To the benefit of the TOFTOF users, graphs displaying the dependencies of the
instrument resolution at the elastic line and of the instrument intensity on
the relevant instrument parameters, i.e the wavelength of the incident
neutrons, the choppers speed of rotation and the frame overlap ratio, are
presented, in the form of iso-resolution or iso-intensity lines. The method of
estimation of the frame overlap ratio that is commonly used at time-of-flight
instruments such as TOFTOF is also explained and alternative options concerning
this parameter, depending on the dynamical range of interest, are briefly
addressed.
| physics.ins-det physics.data-an | an analytical method is presented with allows to estimate the energy resolution of timeofflight neutron spectrometers as well as its partial contributions over a dynamical range that extends from the elastic line to the accessible inelastic regions such a method already successfully applied in the past to the tosca and het neutron inelastic scattering spectrometers installed at the isis neutron spallation source a m gaspar phd thesis universidade tecnica de lisboa 2004 is here applied to the high resolution timeofflight spectrometer toftof mainly dedicated to quasielastic neutron scattering studies and installed at the new neutron reactor frm ii to make such calculations easily understandable the principle of work of the toftof instrument and of each of its components is explained in detail a simply method that can be used to estimate the instrument intensity ie of the number of neutrons arriving at the sample position per unit time is also briefly outlined to the benefit of the toftof users graphs displaying the dependencies of the instrument resolution at the elastic line and of the instrument intensity on the relevant instrument parameters ie the wavelength of the incident neutrons the choppers speed of rotation and the frame overlap ratio are presented in the form of isoresolution or isointensity lines the method of estimation of the frame overlap ratio that is commonly used at timeofflight instruments such as toftof is also explained and alternative options concerning this parameter depending on the dynamical range of interest are briefly addressed | [['an', 'analytical', 'method', 'is', 'presented', 'with', 'allows', 'to', 'estimate', 'the', 'energy', 'resolution', 'of', 'timeofflight', 'neutron', 'spectrometers', 'as', 'well', 'as', 'its', 'partial', 'contributions', 'over', 'a', 'dynamical', 'range', 'that', 'extends', 'from', 'the', 'elastic', 'line', 'to', 'the', 'accessible', 'inelastic', 'regions', 'such', 'a', 'method', 'already', 'successfully', 'applied', 'in', 'the', 'past', 'to', 'the', 'tosca', 'and', 'het', 'neutron', 'inelastic', 'scattering', 'spectrometers', 'installed', 'at', 'the', 'isis', 'neutron', 'spallation', 'source', 'a', 'm', 'gaspar', 'phd', 'thesis', 'universidade', 'tecnica', 'de', 'lisboa', '2004', 'is', 'here', 'applied', 'to', 'the', 'high', 'resolution', 'timeofflight', 'spectrometer', 'toftof', 'mainly', 'dedicated', 'to', 'quasielastic', 'neutron', 'scattering', 'studies', 'and', 'installed', 'at', 'the', 'new', 'neutron', 'reactor', 'frm', 'ii', 'to', 'make', 'such', 'calculations', 'easily', 'understandable', 'the', 'principle', 'of', 'work', 'of', 'the', 'toftof', 'instrument', 'and', 'of', 'each', 'of', 'its', 'components', 'is', 'explained', 'in', 'detail', 'a', 'simply', 'method', 'that', 'can', 'be', 'used', 'to', 'estimate', 'the', 'instrument', 'intensity', 'ie', 'of', 'the', 'number', 'of', 'neutrons', 'arriving', 'at', 'the', 'sample', 'position', 'per', 'unit', 'time', 'is', 'also', 'briefly', 'outlined', 'to', 'the', 'benefit', 'of', 'the', 'toftof', 'users', 'graphs', 'displaying', 'the', 'dependencies', 'of', 'the', 'instrument', 'resolution', 'at', 'the', 'elastic', 'line', 'and', 'of', 'the', 'instrument', 'intensity', 'on', 'the', 'relevant', 'instrument', 'parameters', 'ie', 'the', 'wavelength', 'of', 'the', 'incident', 'neutrons', 'the', 'choppers', 'speed', 'of', 'rotation', 'and', 'the', 'frame', 'overlap', 'ratio', 'are', 'presented', 'in', 'the', 'form', 'of', 'isoresolution', 'or', 'isointensity', 'lines', 'the', 'method', 'of', 'estimation', 'of', 'the', 'frame', 'overlap', 'ratio', 'that', 'is', 'commonly', 'used', 'at', 'timeofflight', 'instruments', 'such', 'as', 'toftof', 'is', 'also', 'explained', 'and', 'alternative', 'options', 'concerning', 'this', 'parameter', 'depending', 'on', 'the', 'dynamical', 'range', 'of', 'interest', 'are', 'briefly', 'addressed']] | [-0.0728643819901759, 0.1384321361827135, -0.09588054540648495, 0.06253751996351875, -0.07813182753525917, -0.1009217094851476, 0.03155045170404161, 0.37717878039418096, -0.23217666688057162, -0.33146001526147006, 0.08626163366101153, -0.3028105223652309, -0.025616364212369742, 0.22953378816884829, -0.024124992143446048, 0.04627807621562066, 0.06733836755024011, 0.03737679072390727, -0.03549526861918015, -0.19689779056518195, 0.28113133280028824, 0.15378527442084217, 0.2639034104351772, 0.07137173624345805, 0.1287435480825058, 0.03435367080136922, -0.06353538112461234, -0.006170509863887134, -0.11001847865770649, 0.08027076209721164, 0.30185504917933687, 0.12181400191920835, 0.16999377715742078, -0.39203793249206925, -0.1739451293776766, 0.04501966652511269, 0.117887908151767, 0.02326243125447413, -0.00562196497794059, -0.2818090167403887, 0.03620883328007246, -0.18779839419313077, -0.15268585027566528, -0.017350963044275598, -0.011133793175477929, 0.065558927019157, -0.23380671250936766, 0.009419156503210572, 2.520437834110505e-05, 0.054810019355470536, -0.06883225777414552, -0.1537999750769932, 0.014048648207842154, 0.09314202941287823, 0.03510462914638948, 0.04083673035010423, 0.14091933208491228, -0.09779854283479518, -0.04631986895224034, 0.3523948425162069, -0.05413697366470214, -0.1155614289284752, 0.1497837827390446, -0.18941003510760895, -0.10728921398247887, 0.1538667597465323, 0.1600805945793589, 0.14040162089875638, -0.15481705970804743, 0.04991032112421983, 0.0009628023580284562, 0.18665361171777595, 0.11440747855534035, 0.03006146317518248, 0.2094912317854057, 0.18443099025076604, 0.00987488340097929, 0.0859593473385728, -0.2250104744566559, -0.012915258644133563, -0.29818168967560965, -0.12458814765190387, -0.15881608949871961, -0.002916499851195793, -0.02193050443812849, -0.09869562353033996, 0.3571031547891642, 0.13418931915704918, 0.1590243101487224, -0.023269871933143435, 0.3340911717812826, 0.09418360574399992, 0.08341824670078052, -0.0008048027852262423, 0.25771357707028103, 0.14048214427278186, 0.1664168681600131, -0.2395151587481406, 0.05611462045150498, 0.02017250725321805] |
710.532 | Precise predictions for h_a --> h_b h_c decays in the complex MSSM | Complete one-loop results for the decay widths of neutral Higgs bosons (h_a)
into lighter neutral Higgs bosons (h_b, h_c) are presented for the MSSM with
complex parameters. The results are obtained in the Feynman-diagrammatic
approach, taking into account the full dependence on the spectrum of
supersymmetric particles and all complex phases of the supersymmetric
parameters. The genuine triple-Higgs vertex contributions are supplemented with
two-loop propagator-type corrections, yielding the currently most precise
prediction for this class of processes. The genuine vertex corrections turn out
to be very important, yielding a large increase of the decay width compared to
a prediction based on the tree-level vertex. The new results are used to
analyse the impact of the experimental limits from the LEP Higgs searches on
the parameter space with a very light MSSM Higgs boson. It is found that a
significant part of the parameter space of the CPX benchmark scenario exists
where channels involving the decay h_2 --> h_1 h_1 have the highest search
sensitivity, and the existence of an unexcluded region with M_{h_1} \approx 45
GeV is confirmed.
| hep-ph | complete oneloop results for the decay widths of neutral higgs bosons h_a into lighter neutral higgs bosons h_b h_c are presented for the mssm with complex parameters the results are obtained in the feynmandiagrammatic approach taking into account the full dependence on the spectrum of supersymmetric particles and all complex phases of the supersymmetric parameters the genuine triplehiggs vertex contributions are supplemented with twoloop propagatortype corrections yielding the currently most precise prediction for this class of processes the genuine vertex corrections turn out to be very important yielding a large increase of the decay width compared to a prediction based on the treelevel vertex the new results are used to analyse the impact of the experimental limits from the lep higgs searches on the parameter space with a very light mssm higgs boson it is found that a significant part of the parameter space of the cpx benchmark scenario exists where channels involving the decay h_2 h_1 h_1 have the highest search sensitivity and the existence of an unexcluded region with m_h_1 approx 45 gev is confirmed | [['complete', 'oneloop', 'results', 'for', 'the', 'decay', 'widths', 'of', 'neutral', 'higgs', 'bosons', 'h_a', 'into', 'lighter', 'neutral', 'higgs', 'bosons', 'h_b', 'h_c', 'are', 'presented', 'for', 'the', 'mssm', 'with', 'complex', 'parameters', 'the', 'results', 'are', 'obtained', 'in', 'the', 'feynmandiagrammatic', 'approach', 'taking', 'into', 'account', 'the', 'full', 'dependence', 'on', 'the', 'spectrum', 'of', 'supersymmetric', 'particles', 'and', 'all', 'complex', 'phases', 'of', 'the', 'supersymmetric', 'parameters', 'the', 'genuine', 'triplehiggs', 'vertex', 'contributions', 'are', 'supplemented', 'with', 'twoloop', 'propagatortype', 'corrections', 'yielding', 'the', 'currently', 'most', 'precise', 'prediction', 'for', 'this', 'class', 'of', 'processes', 'the', 'genuine', 'vertex', 'corrections', 'turn', 'out', 'to', 'be', 'very', 'important', 'yielding', 'a', 'large', 'increase', 'of', 'the', 'decay', 'width', 'compared', 'to', 'a', 'prediction', 'based', 'on', 'the', 'treelevel', 'vertex', 'the', 'new', 'results', 'are', 'used', 'to', 'analyse', 'the', 'impact', 'of', 'the', 'experimental', 'limits', 'from', 'the', 'lep', 'higgs', 'searches', 'on', 'the', 'parameter', 'space', 'with', 'a', 'very', 'light', 'mssm', 'higgs', 'boson', 'it', 'is', 'found', 'that', 'a', 'significant', 'part', 'of', 'the', 'parameter', 'space', 'of', 'the', 'cpx', 'benchmark', 'scenario', 'exists', 'where', 'channels', 'involving', 'the', 'decay', 'h_2', 'h_1', 'h_1', 'have', 'the', 'highest', 'search', 'sensitivity', 'and', 'the', 'existence', 'of', 'an', 'unexcluded', 'region', 'with', 'm_h_1', 'approx', '45', 'gev', 'is', 'confirmed']] | [-0.07139093724821331, 0.21256165172305225, -0.029824468732080132, 0.1288667059125968, -0.06506639460659465, -0.15963051176635223, 0.034998481161892414, 0.3151080761588899, -0.1709615807081862, -0.2658641841999218, 0.04334460450717811, -0.30210380416263505, -0.014440883350911114, 0.19226549666751133, 0.07809064770232502, 0.06514815255962733, 0.11826482284182714, 0.02173514058287282, -0.040248390306892284, -0.26645549898440973, 0.29260440503041873, 0.0232953500176259, 0.17922456726947494, 0.1032203639611486, 0.037570130778476596, 0.005012678995328603, -0.04548010635413335, -0.06495386577312608, -0.17290178871086942, 0.09412562165746076, 0.1683074348607156, 0.05161527607400539, 0.1474296197947641, -0.2976527192950838, -0.13939656042046633, 0.17801298875240662, 0.16146229714218338, 0.07471537498210025, -0.04407049412181401, -0.35033300172769083, 0.08757328440693055, -0.17150386590194905, -0.09558513637376939, -0.05950972630305605, -0.012680942713582919, -0.11357938482473462, -0.34362758669770704, 0.05692150532846776, -0.0641677962763414, 0.012701873204507733, -0.0059945009435700665, -0.20173848117043996, -0.09426830848021232, 0.07088062116918338, 0.11644882063899652, 0.0378776609418798, 0.1542807579985004, -0.20843469622639654, -0.15409464804629275, 0.41758954450277624, -0.10394649163656737, -0.1716846365450045, 0.1509655454501215, -0.18359331047239036, -0.15868422342464328, 0.21495789707122676, 0.1586144049572995, 0.07878240640160081, -0.14542134503944446, 0.18873100888739092, -0.026959230851692457, 0.14849720179697887, 0.005054851183615162, 0.07867040299931488, 0.1997729333322811, 0.18136397291153752, 0.024225583017177584, 0.10250871871679622, -0.08369471569345623, -0.10594050874828366, -0.42250490328033935, -0.13315173860186827, -0.05200201502703867, 0.02607363727112106, -0.10149695747844364, -0.11875428814483059, 0.40118881227385444, 0.10695465762460193, 0.27528434509206245, 0.03156766642179698, 0.26861233369902426, 0.12778341969853993, 0.11751817704025803, 0.01836755229318041, 0.3376362837356447, 0.1466494334209184, 0.06699486585902208, -0.21695380677774254, -0.005733219217403797, 0.07674935085983095] |
710.5321 | The cmb dipole and existence of a center for expansion of the universe | It is shown that the observed cmb dipole implies the existence of a center
for the expansion of the universe, and that it can be explained by a
combination of peculiar velocity and Hubble flow.
| astro-ph | it is shown that the observed cmb dipole implies the existence of a center for the expansion of the universe and that it can be explained by a combination of peculiar velocity and hubble flow | [['it', 'is', 'shown', 'that', 'the', 'observed', 'cmb', 'dipole', 'implies', 'the', 'existence', 'of', 'a', 'center', 'for', 'the', 'expansion', 'of', 'the', 'universe', 'and', 'that', 'it', 'can', 'be', 'explained', 'by', 'a', 'combination', 'of', 'peculiar', 'velocity', 'and', 'hubble', 'flow']] | [-0.12658279299835806, 0.142046782680388, -0.16214777678251266, 0.0630232351333169, -0.08158773253006595, -0.04011490970317807, -0.04041104678596769, 0.3376392069139651, -0.2826330223253795, -0.2575183925884111, 0.09327215258963406, -0.21216938261474882, -0.09531675992267473, 0.22896265286420073, 0.028551406200442997, -0.06842374626014913, 0.05433212359036718, 0.041617018117436344, 0.001709019033504384, -0.22916108641241278, 0.30236818146492755, 0.07395808857732586, 0.26148920016629357, 0.030772497637995652, 0.1453012544129576, -0.08677585452262844, -0.02868761108922107, 0.14327490063650267, -0.10795440441205366, 0.09594035087419407, 0.14378130197791117, 0.14627212764961378, 0.18779559444103922, -0.3252976500030075, -0.2546731501285519, 0.11826220058969089, 0.19126845207065343, 0.11254562494744147, -0.05660957506458674, -0.28472282231918405, 0.07838063585971083, -0.14980078121381146, -0.17791265990318997, -0.0733187482293163, 0.03169396540948323, 0.013936369520212924, -0.26398645932120934, 0.1570020434579679, 0.05002275524394853, -0.013617590442299843, -0.09750148409179278, -0.04222324208489486, -0.06492067995880331, 0.03420525190553495, 0.07752650030888616, 0.08299362119287253, 0.10814244249569518, -0.1292524550642286, -0.04106028149170535, 0.4351726183933871, -0.1411743883575712, -0.04712824874690601, 0.1187920158462865, -0.2232856535884951, -0.09653176846248764, 0.11704755162687173, 0.08062825068565352, 0.04850579673158271, -0.13248696045151778, 0.09814141621214471, -0.051463059814912934, 0.15584656636097602, 0.09814197338585343, -0.013081645406782628, 0.3050531432032585, 0.11230689734220504, 0.09532381724566222, 0.07501584694920374, -0.1267030510519232, -0.006472293926136834, -0.334512007023607, -0.1349815338317837, -0.25494658750082766, 0.05894350644999317, -0.12952873221116273, -0.1351823117076752, 0.359467240529401, 0.09175550031608769, 0.24362993820437362, -0.016181020019575953, 0.28259048158568995, 0.12235625556537083, 0.11728173606097698, 0.09301836252478617, 0.3625608522977148, 0.1560215820225754, 0.10769606887229852, -0.2968044970317611, 0.1037000355310738, 0.04263114446241941] |
710.5322 | An effective recursion formula for computing intersection numbers | We prove a new effective recursion formula for computing all intersection
indices (integrals of $\psi$ classes) on the moduli space of curves, inducting
only on the genus.
| math.AG | we prove a new effective recursion formula for computing all intersection indices integrals of psi classes on the moduli space of curves inducting only on the genus | [['we', 'prove', 'a', 'new', 'effective', 'recursion', 'formula', 'for', 'computing', 'all', 'intersection', 'indices', 'integrals', 'of', 'psi', 'classes', 'on', 'the', 'moduli', 'space', 'of', 'curves', 'inducting', 'only', 'on', 'the', 'genus']] | [-0.24209212953293766, 0.09852239268797415, -0.13414843173490631, 0.15712083967540552, -0.09315136783859795, -0.11036701195148958, 0.08116799949978788, 0.2858851546490634, -0.25672362958667455, -0.2533211545949733, 0.0763696485578462, -0.2592341364188879, -0.16647393546170658, 0.3127121735963522, -0.1244173211356004, 0.03971230583610358, 0.055295905400136555, 0.030174807438419923, -0.1315223637416407, -0.3121657188705824, 0.41379037582212025, -0.19070241172556524, 0.23026792925816994, 0.045977163714943106, 0.12830396137993644, 0.0638766460965767, -0.02549992525881087, -0.03492926728709049, -0.19682002688447633, 0.22672414990073, 0.2252920293421657, 0.08417452574293646, 0.08877908136626636, -0.3427964109513495, -0.15808222698116745, 0.1997189601469371, 0.10759997388554944, 0.0020119059072048577, 0.06955246591112679, -0.19049405175502654, 0.05006493124420996, -0.10044545942434559, -0.1877100666364034, -0.15339912612129142, 0.14497463372794706, 0.012643717263859731, -0.18874724305890225, -0.08816604800328302, -0.019960638756553333, 0.13928580446237768, -0.06950854261716206, -0.18001738056126568, -0.07513928744528028, 0.04919189640700265, 0.005579922658701737, 0.03465750223646561, 0.026967789098206494, -0.14078469677069397, -0.10915619628158985, 0.2882782941063245, -0.07753552374412755, -0.20572570276757082, 0.06293078346384896, -0.12794747503681314, -0.2000588600144342, 0.0982350983346502, 0.14740127907996928, 0.23894334874219364, -0.0362225743441808, 0.20216612583371224, -0.045187396859681164, 0.06574968586641329, 0.12677476962131481, -0.006625868380069733, 0.15603222963572652, 0.03717641484130312, 0.07177327428427008, 0.14179718805287309, -0.01957541598972899, -0.056128448237561517, -0.4132575042269848, -0.2671606646919692, -0.16017481172888506, 0.07702545109377415, -0.217841317963407, -0.22994626146154823, 0.44286159244883394, 0.011050400496632964, 0.15442274234913014, 0.2048590671857474, 0.26650284851590794, 0.1340825672916792, 0.09787909593433142, 0.11421836867790532, 0.12753742988462802, 0.13391736770669618, -0.01148846738592342, -0.12884240226682137, 0.0061735400447139035, 0.2969292836367256] |
710.5323 | Multitopes are the same as principal ordered face structures | We show that the category of principal ordered face structures is equivalent
to the category of multitopes.
We show that the category of principal ordered face structures is equivalent
to the category of multitopes. On the way we introduce the notion of a graded
tensor theory to state the abstract properties of the category of ordered face
structures and show how it fits into the recent work of T. Leinster and M.
Weber concerning the nerve construction.
| math.CT | we show that the category of principal ordered face structures is equivalent to the category of multitopes we show that the category of principal ordered face structures is equivalent to the category of multitopes on the way we introduce the notion of a graded tensor theory to state the abstract properties of the category of ordered face structures and show how it fits into the recent work of t leinster and m weber concerning the nerve construction | [['we', 'show', 'that', 'the', 'category', 'of', 'principal', 'ordered', 'face', 'structures', 'is', 'equivalent', 'to', 'the', 'category', 'of', 'multitopes', 'we', 'show', 'that', 'the', 'category', 'of', 'principal', 'ordered', 'face', 'structures', 'is', 'equivalent', 'to', 'the', 'category', 'of', 'multitopes', 'on', 'the', 'way', 'we', 'introduce', 'the', 'notion', 'of', 'a', 'graded', 'tensor', 'theory', 'to', 'state', 'the', 'abstract', 'properties', 'of', 'the', 'category', 'of', 'ordered', 'face', 'structures', 'and', 'show', 'how', 'it', 'fits', 'into', 'the', 'recent', 'work', 'of', 't', 'leinster', 'and', 'm', 'weber', 'concerning', 'the', 'nerve', 'construction']] | [-0.1208499220944941, 0.06335242252796888, -0.10109261490404606, 0.04656406697196265, -0.08342257853597403, -0.043677138295024634, -0.03904568910133094, 0.4074729451785485, -0.3884519942539434, -0.20865903469423452, 0.07965843476975958, -0.22220855424801508, -0.19531147688627243, 0.12008981388993561, -0.15399325595547755, -0.04743561923503876, 0.08188436480859916, 0.10194835768081248, -0.045246012036999066, -0.2545041641810288, 0.4527621765000125, -0.008753130262096722, 0.30050226462384066, 0.012149200718849897, 0.11221243048707644, 0.002473839799252649, -0.008430490146080653, 0.09193453279634317, -0.1505927515210351, 0.22794623166322708, 0.26146905715266866, 0.12435642574603359, 0.18251853512755284, -0.3694160990913709, -0.102491809449081, 0.06436983322103819, 0.0665754380573829, 0.07284374805477759, 0.025156502914614975, -0.31930836245417593, 0.16577138497183722, -0.19861897548039753, -0.07571757975034415, -0.07467779130209237, 0.0683399853358666, -0.007562176063656807, -0.21463785977413258, -0.01501232900346319, 0.14479706871323286, 0.051377254103620845, -0.1281552871565024, -0.08324294369667769, -0.08365939626159767, 0.08956456973527868, -0.013915897862364848, 0.005118860217432181, 0.12739570932462813, -0.14758995527091126, -0.1269760032587995, 0.3781711290528377, -0.04049566524724166, -0.1531009115309765, 0.16855181466788052, -0.13412445253382127, -0.12406765709320704, 0.10858439330632488, 0.07518683527906736, 0.134605889270703, -0.007021060362458229, 0.16085922079626472, -0.1614026336868604, 0.1312100961369773, 0.06325724457701047, 0.02595378233740727, 0.15429034370929004, 0.17421182468533516, 0.05372885728875796, 0.17659299206609527, -0.044239406116927664, -0.059371905550360676, -0.3106529628733794, -0.20533478324961227, -0.08930026796335976, 0.0702754211674134, -0.03500307084332841, -0.2283809891467293, 0.421712975675861, 0.19312771225968997, 0.2277844720093223, 0.10588866740465164, 0.24486070757110914, 0.013969879175225894, 0.05321532604595025, -0.008313138944407304, 0.15236000972489516, 0.2348253531505664, 0.010957092382013797, -0.12214465747897824, 0.04500433299535265, 0.1636581058303515] |
710.5324 | Deep spectroscopy of the FUV-optical emission lines from a sample of
radio galaxies at z~2.5: metallicity and ionization | We present long-slit NIR spectra, obtained using the ISAAC instrument at the
Very Large Telescope, for nine radio galaxies at z~2.5. One-dimensional spectra
have been extracted and cross calibrated with optical spectra from the
literature to produce line spectra spanning a rest wavelength of ~1200-7000 A.
We have also produced a composite of the rest-frame UV-optical line fluxes of
powerful, z~2.5 radio galaxies. We have investigated the relative strengths of
Ly-alpha, H-beta, H-alpha, HeII 1640 and HeII 4687, and we find that Av can
vary significantly from object to object. In addition, we identify new line
ratios to calculate electron temperature: [NeV] 1575/[NeV] 3426, [NeIV]
1602/[NeIV] 2423, OIII] 1663/[OIII] 5008 and [OII] 2471/[OII]3728. We model the
emission line spectra and conclude they are best explained by
AGN-photoionization with the ionization parameter U varying between objects.
Single slab photoionization models are unable to reproduce the high- and the
low-ionization lines simultaneously: this may be alleviated either by combining
two or more single slab photoionization models with different U, or by using
mixed-medium models such as those of Binette, Wilson & Storchi-Bergmann (1996).
On the basis of NV/NIV] and NIV]/CIV we argue that shocks make a fractional
contribution to the ionization of the EELR. We find that in the EELR of z~2
radio galaxies the N/H abundance ratio is close to its solar value. We conclude
that N/H and metallicity do not vary by more than a factor of two in our
sample. This is consistent with the idea that massive ellipticals are assembled
very early in the history of the universe, and then evolve relatively passively
up to the present day.
| astro-ph | we present longslit nir spectra obtained using the isaac instrument at the very large telescope for nine radio galaxies at z25 onedimensional spectra have been extracted and cross calibrated with optical spectra from the literature to produce line spectra spanning a rest wavelength of 12007000 a we have also produced a composite of the restframe uvoptical line fluxes of powerful z25 radio galaxies we have investigated the relative strengths of lyalpha hbeta halpha heii 1640 and heii 4687 and we find that av can vary significantly from object to object in addition we identify new line ratios to calculate electron temperature nev 1575nev 3426 neiv 1602neiv 2423 oiii 1663oiii 5008 and oii 2471oii3728 we model the emission line spectra and conclude they are best explained by agnphotoionization with the ionization parameter u varying between objects single slab photoionization models are unable to reproduce the high and the lowionization lines simultaneously this may be alleviated either by combining two or more single slab photoionization models with different u or by using mixedmedium models such as those of binette wilson storchibergmann 1996 on the basis of nvniv and nivciv we argue that shocks make a fractional contribution to the ionization of the eelr we find that in the eelr of z2 radio galaxies the nh abundance ratio is close to its solar value we conclude that nh and metallicity do not vary by more than a factor of two in our sample this is consistent with the idea that massive ellipticals are assembled very early in the history of the universe and then evolve relatively passively up to the present day | [['we', 'present', 'longslit', 'nir', 'spectra', 'obtained', 'using', 'the', 'isaac', 'instrument', 'at', 'the', 'very', 'large', 'telescope', 'for', 'nine', 'radio', 'galaxies', 'at', 'z25', 'onedimensional', 'spectra', 'have', 'been', 'extracted', 'and', 'cross', 'calibrated', 'with', 'optical', 'spectra', 'from', 'the', 'literature', 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710.5325 | Anisotropies in insulating La$_{2-x}$Sr$_x$CuO$_4$: angular resolved
photoemission and optical absorption | Due to the orthorhombic distortion of the lattice, the electronic hopping
integrals along the $a$ and $b$ diagonals, the orthorhombic directions, are
slightly different. We calculate their difference in the LDA and find
$t_{a}^{\prime}-t_{b}^{\prime}\approx 8 $meV. We argue that electron
correlations in the insulating phase of La$_{2-x}$Sr$_{x}$CuO$_{4}$, i. e. at
doping $x\leq 0.055,$ dramatically enhance the $(t_{a}^{\prime}-t_{b}^{\prime})
$-splitting between the $a$- and $b$-hole valleys. In particular, we predict
that the intensity of both angle-resolved photoemission and of optical
absorption is very different for the $a$ and $b$ nodal points.
| cond-mat.str-el cond-mat.supr-con | due to the orthorhombic distortion of the lattice the electronic hopping integrals along the a and b diagonals the orthorhombic directions are slightly different we calculate their difference in the lda and find t_aprimet_bprimeapprox 8 mev we argue that electron correlations in the insulating phase of la_2xsr_xcuo_4 i e at doping xleq 0055 dramatically enhance the t_aprimet_bprime splitting between the a and bhole valleys in particular we predict that the intensity of both angleresolved photoemission and of optical absorption is very different for the a and b nodal points | [['due', 'to', 'the', 'orthorhombic', 'distortion', 'of', 'the', 'lattice', 'the', 'electronic', 'hopping', 'integrals', 'along', 'the', 'a', 'and', 'b', 'diagonals', 'the', 'orthorhombic', 'directions', 'are', 'slightly', 'different', 'we', 'calculate', 'their', 'difference', 'in', 'the', 'lda', 'and', 'find', 't_aprimet_bprimeapprox', '8', 'mev', 'we', 'argue', 'that', 'electron', 'correlations', 'in', 'the', 'insulating', 'phase', 'of', 'la_2xsr_xcuo_4', 'i', 'e', 'at', 'doping', 'xleq', '0055', 'dramatically', 'enhance', 'the', 't_aprimet_bprime', 'splitting', 'between', 'the', 'a', 'and', 'bhole', 'valleys', 'in', 'particular', 'we', 'predict', 'that', 'the', 'intensity', 'of', 'both', 'angleresolved', 'photoemission', 'and', 'of', 'optical', 'absorption', 'is', 'very', 'different', 'for', 'the', 'a', 'and', 'b', 'nodal', 'points']] | [-0.1667797867165402, 0.20280351768096172, -0.05036291092915764, 0.05717888453482585, 0.008239064274591307, -0.12684479070459168, 0.15473920912319405, 0.4422235567580237, -0.3063913066546584, -0.24906284242413593, -0.005150698984940644, -0.3809527068731895, -0.09563585012598873, 0.12059118195848409, 0.03845114368122331, -0.020201365918267603, -0.020536459863272516, -0.05549449408643468, -0.1640748684890135, -0.21541605679302064, 0.2890768035336636, -0.004379351238915047, 0.296392768924666, 0.11099870522441559, 0.03449036296305442, 0.02584801336512143, 0.06426348972545806, 0.011478329001557689, -0.16038989084640784, 0.10382732229177342, 0.2701878717188117, -0.07925608731416423, 0.1791735011380339, -0.3768956745043397, -0.1641424388169896, 0.02450061804441692, 0.13247237042090748, 0.10766414655534941, -0.027160164466950784, -0.24250354165168003, 0.05073688949220056, -0.12658283276873272, -0.07799483335382024, -0.0893592354733237, 0.005198745268158788, 0.010563207530351571, -0.2377118549342159, 0.09439502724278502, 0.02769054921322264, 0.0988359127280324, -0.13521777856878417, -0.1541521322255586, -0.10285604580814495, 0.03705153588833677, 0.07117855180390613, 0.08754750882102133, 0.07903957373982426, -0.07391618181908027, -0.09196712583476721, 0.40439910672301815, -0.04270648219498134, -0.08487460825613938, 0.14214375708252192, -0.24429887908965695, -0.08898062733825036, 0.15548138339938813, 0.1091331112046921, 0.08570136117402377, -0.07015684803103119, 0.10919642614858593, -0.004952505633957835, 0.15668666951878127, 0.08099106630462027, 0.060827023457995684, 0.2154714079684751, 0.1022311388271276, 0.060402073399272074, 0.09794358478122672, -0.21721473724992815, -0.0008202335082514342, -0.22098514892507432, -0.16129898322139716, -0.18639532468000122, 0.04543509728513485, -0.1132565552663521, -0.15733875352672713, 0.44084142170153384, 0.14680848319386675, 0.26413350641121003, -0.05563333216881336, 0.21727663894768717, 0.10555812236744651, 0.036212489067111164, 0.0443786776267252, 0.2535457484218357, 0.11490072647846022, 0.11091729829650979, -0.3120065934923586, 0.048411810104626904, -0.013452075302687496] |
710.5326 | Partial separability and entanglement criteria for multiqubit quantum
states | We explore the subtle relationships between partial separability and
entanglement of subsystems in multiqubit quantum states and give experimentally
accessible conditions that distinguish between various classes and levels of
partial separability in a hierarchical order. These conditions take the form of
bounds on the correlations of locally orthogonal observables. Violations of
such inequalities give strong sufficient criteria for various forms of partial
inseparability and multiqubit entanglement. The strength of these criteria is
illustrated by showing that they are stronger than several other well-known
entanglement criteria (the fidelity criterion, violation of Mermin-type
separability inequalities, the Laskowski-\.Zukowski criterion and the
D\"ur-Cirac criterion), and also by showing their great noise robustness for a
variety of multiqubit states, including N-qubit GHZ states and Dicke states.
Furthermore, for N greater than or equal to 3 they can detect bound entangled
states. For all these states, the required number of measurement settings for
implementation of the entanglement criteria is shown to be only N+1. If one
chooses the familiar Pauli matrices as single-qubit observables, the
inequalities take the form of bounds on the anti-diagonal matrix elements of a
state in terms of its diagonal matrix elements.
| quant-ph | we explore the subtle relationships between partial separability and entanglement of subsystems in multiqubit quantum states and give experimentally accessible conditions that distinguish between various classes and levels of partial separability in a hierarchical order these conditions take the form of bounds on the correlations of locally orthogonal observables violations of such inequalities give strong sufficient criteria for various forms of partial inseparability and multiqubit entanglement the strength of these criteria is illustrated by showing that they are stronger than several other wellknown entanglement criteria the fidelity criterion violation of mermintype separability inequalities the laskowskizukowski criterion and the durcirac criterion and also by showing their great noise robustness for a variety of multiqubit states including nqubit ghz states and dicke states furthermore for n greater than or equal to 3 they can detect bound entangled states for all these states the required number of measurement settings for implementation of the entanglement criteria is shown to be only n1 if one chooses the familiar pauli matrices as singlequbit observables the inequalities take the form of bounds on the antidiagonal matrix elements of a state in terms of its diagonal matrix elements | [['we', 'explore', 'the', 'subtle', 'relationships', 'between', 'partial', 'separability', 'and', 'entanglement', 'of', 'subsystems', 'in', 'multiqubit', 'quantum', 'states', 'and', 'give', 'experimentally', 'accessible', 'conditions', 'that', 'distinguish', 'between', 'various', 'classes', 'and', 'levels', 'of', 'partial', 'separability', 'in', 'a', 'hierarchical', 'order', 'these', 'conditions', 'take', 'the', 'form', 'of', 'bounds', 'on', 'the', 'correlations', 'of', 'locally', 'orthogonal', 'observables', 'violations', 'of', 'such', 'inequalities', 'give', 'strong', 'sufficient', 'criteria', 'for', 'various', 'forms', 'of', 'partial', 'inseparability', 'and', 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710.5327 | Escalating The War On SPAM Through Practical POW Exchange | Proof-of-work (POW) schemes have been proposed in the past. One prominent
system is HASHCASH (Back, 2002) which uses cryptographic puzzles . However,
work by Laurie and Clayton (2004) has shown that for a uniform proof-of-work
scheme on email to have an impact on SPAM, it would also be onerous enough to
impact on senders of "legitimate" email. I suggest that a non-uniform
proof-of-work scheme on email may be a solution to this problem, and describe a
framework that has the potential to limit SPAM, without unduly penalising
legitimate senders, and is constructed using only current SPAM filter
technology, and a small change to the SMTP (Simple Mail Transfer Protocol).
Specifically, I argue that it is possible to make sending SPAM 1,000 times more
expensive than sending "legitimate" email (so called HAM). Also, unlike the
system proposed by Debin Liu and Jean Camp (2006), it does not require the
complications of maintaining a reputation system.
| cs.NI cs.CR | proofofwork pow schemes have been proposed in the past one prominent system is hashcash back 2002 which uses cryptographic puzzles however work by laurie and clayton 2004 has shown that for a uniform proofofwork scheme on email to have an impact on spam it would also be onerous enough to impact on senders of legitimate email i suggest that a nonuniform proofofwork scheme on email may be a solution to this problem and describe a framework that has the potential to limit spam without unduly penalising legitimate senders and is constructed using only current spam filter technology and a small change to the smtp simple mail transfer protocol specifically i argue that it is possible to make sending spam 1000 times more expensive than sending legitimate email so called ham also unlike the system proposed by debin liu and jean camp 2006 it does not require the complications of maintaining a reputation system | [['proofofwork', 'pow', 'schemes', 'have', 'been', 'proposed', 'in', 'the', 'past', 'one', 'prominent', 'system', 'is', 'hashcash', 'back', '2002', 'which', 'uses', 'cryptographic', 'puzzles', 'however', 'work', 'by', 'laurie', 'and', 'clayton', '2004', 'has', 'shown', 'that', 'for', 'a', 'uniform', 'proofofwork', 'scheme', 'on', 'email', 'to', 'have', 'an', 'impact', 'on', 'spam', 'it', 'would', 'also', 'be', 'onerous', 'enough', 'to', 'impact', 'on', 'senders', 'of', 'legitimate', 'email', 'i', 'suggest', 'that', 'a', 'nonuniform', 'proofofwork', 'scheme', 'on', 'email', 'may', 'be', 'a', 'solution', 'to', 'this', 'problem', 'and', 'describe', 'a', 'framework', 'that', 'has', 'the', 'potential', 'to', 'limit', 'spam', 'without', 'unduly', 'penalising', 'legitimate', 'senders', 'and', 'is', 'constructed', 'using', 'only', 'current', 'spam', 'filter', 'technology', 'and', 'a', 'small', 'change', 'to', 'the', 'smtp', 'simple', 'mail', 'transfer', 'protocol', 'specifically', 'i', 'argue', 'that', 'it', 'is', 'possible', 'to', 'make', 'sending', 'spam', '1000', 'times', 'more', 'expensive', 'than', 'sending', 'legitimate', 'email', 'so', 'called', 'ham', 'also', 'unlike', 'the', 'system', 'proposed', 'by', 'debin', 'liu', 'and', 'jean', 'camp', '2006', 'it', 'does', 'not', 'require', 'the', 'complications', 'of', 'maintaining', 'a', 'reputation', 'system']] | [-0.12379909261905898, 0.005968188220576849, -0.09715449730865658, 0.062222368073028826, -0.13610487503930926, -0.27954615420972306, 0.1229341127940764, 0.37729719415307045, -0.22461501818383112, -0.3099240822981422, 0.13406112466395523, -0.31833769515467186, -0.16857206570605437, 0.18502972779174645, -0.16354620771793027, 0.025895029424379268, 0.07082792167241375, 0.03410041019475708, 0.011988924337783828, -0.3512400312054281, 0.2768570752775607, 0.08565863695926965, 0.30774986275161303, 0.07595593304373324, 0.11624794762503976, 0.024140142581115166, -0.04572376848353694, -0.03246578391641378, -0.03484045837947633, 0.05729387841323235, 0.2750573399771626, 0.20153137611380467, 0.3460781616345048, -0.4124620783453186, -0.21657953230043253, 0.12229121287042896, 0.14438142163834225, 0.15419853208819403, -0.03231441822300743, -0.30766647453730306, 0.14730372522763596, -0.29039698870852587, -0.045819750198473536, -0.09362043175380677, 0.04866273459978401, -0.0020305835308196646, -0.2378123605561753, 0.005241955627764886, 0.04812477230715255, 0.007596969672789176, 0.06769228374507899, -0.07038359027743961, 0.009172332271312674, 0.1401493672731643, 0.05237352697954824, 0.01792161074699834, 0.1474835927442958, -0.07672026282642036, -0.11999703456725304, 0.35424296129262073, -0.006320725220430177, -0.17815774075376492, 0.17024368223346148, 0.009757724438483516, -0.12202074987813831, 0.11410294922689597, 0.17010250076651573, 0.08493181618861854, -0.15653888205376765, 0.013726155811843152, -0.07511482330504805, 0.23951479497365655, 0.07366038540843874, 0.013910471577352534, 0.1400070874610295, 0.11020316849152247, 0.11218208936508745, 0.04141231473224859, -0.04720354720018804, -0.08663858160958625, -0.17136831156909466, -0.14443735042276482, -0.2065820085272814, 0.060937206077796874, 0.007543456753580055, -0.1203590453856547, 0.3685022988590936, 0.20984059491718654, 0.12768243809230626, -0.0029571585566736756, 0.3711825903272256, 0.033183565341557066, 0.09715960107763143, 0.1536031790294995, 0.21184145281168942, 0.02564414166069279, 0.181506388814499, -0.14094642691973908, 0.15533018535623946, 0.035050092469900845] |
710.5328 | Monotonicity formulas under rescaled Ricci flow | In this short notes, we discuss monotonicity formulas under various rescaled
versions of Ricci flow. The main result is Theorem \ref{theo rescaled}.
| math.DG math.AP | in this short notes we discuss monotonicity formulas under various rescaled versions of ricci flow the main result is theorem reftheo rescaled | [['in', 'this', 'short', 'notes', 'we', 'discuss', 'monotonicity', 'formulas', 'under', 'various', 'rescaled', 'versions', 'of', 'ricci', 'flow', 'the', 'main', 'result', 'is', 'theorem', 'reftheo', 'rescaled']] | [-0.18082301558128425, 0.09581180506696303, -0.1643633051731047, 0.17744697931976544, -0.04877357867856821, -0.13835866332408928, -0.09716580542070526, 0.3390130212619191, -0.2526981525477909, -0.18091786643933683, 0.14438858006836935, -0.25056378654248657, -0.11391633243433066, 0.20253142271013486, -0.2247759776731809, 0.02106828402195658, 0.08910220803781635, -0.02688221935005415, -0.09780662808389891, -0.2701586723726775, 0.3437866777891204, -0.04542038341363271, 0.2788253955188252, 0.2061049141117283, 0.08492730442611944, 0.04663053507517491, -0.06443672134940114, -0.03246611924398513, -0.3214494621469861, 0.06650587982897248, 0.20465718061175375, 0.09090019496423858, 0.3086958107139383, -0.4123699144415912, -0.08084388653792086, 0.15243216466513418, 0.07661911011174587, 0.09434968445982252, 0.039467839435452505, -0.2691038113442205, 0.12832290297817617, -0.10248429363682157, -0.21426992264432124, -0.05667857391138872, -0.04098863615876153, 0.15750145872256585, -0.11573964250939232, 0.09204539936035872, 0.24809715071959154, 0.062370530950526394, -0.1077687322117743, -0.09894442054930896, 0.023432239596288474, 0.05671845021701995, 0.21114142124895893, -0.06039733982955416, 0.135130134655074, -0.045838093728802744, -0.059566338236133255, 0.3123674669879533, -0.22182434413670785, -0.20653716811821574, 0.05144131680329641, -0.05062377129104875, -0.2470098306380567, -0.014401883884732212, 0.15142318029843627, 0.1956223708887895, -0.18944831521782493, 0.09328040489483447, -0.09176694701350893, 0.04850377328693867, 0.17848948393726632, 0.030754289634170987, 0.11356630619792711, 0.06682872840957273, 0.10039145098112169, 0.24972395556757138, 0.0392502425681977, -0.146986256985526, -0.4849154544728143, -0.15722628824767612, -0.19250300402442613, 0.1746475434462939, -0.21912852479588418, -0.12783798087565673, 0.38681252566831453, 0.15268072736493887, 0.14731541683986074, 0.2166048629386794, 0.22228711506440527, 0.1694998381038507, -0.005242909659587201, 0.12555563234768452, 0.12393674316505592, 0.2659064804514249, 0.17273558560936225, -0.05935873208744895, 0.007018134108788911, 0.2645583916898994] |
710.5329 | The moduli space of cubic threefolds via degenerations of the
intermediate Jacobian | A well known result of Clemens and Griffiths says that a smooth cubic
threefold can be recovered from its intermediate Jacobian. In this paper we
discuss the possible degenerations of these abelian varieties, and thus give a
description of the compactification of the moduli space of cubic threefolds
obtained in this way. The relation between this compactification and those
constructed in the work of Allcock-Carlson-Toledo and Looijenga-Swierstra is
also considered, and is similar in spirit to the relation between the various
compactifications of the moduli spaces of low genus curves.
| math.AG | a well known result of clemens and griffiths says that a smooth cubic threefold can be recovered from its intermediate jacobian in this paper we discuss the possible degenerations of these abelian varieties and thus give a description of the compactification of the moduli space of cubic threefolds obtained in this way the relation between this compactification and those constructed in the work of allcockcarlsontoledo and looijengaswierstra is also considered and is similar in spirit to the relation between the various compactifications of the moduli spaces of low genus curves | [['a', 'well', 'known', 'result', 'of', 'clemens', 'and', 'griffiths', 'says', 'that', 'a', 'smooth', 'cubic', 'threefold', 'can', 'be', 'recovered', 'from', 'its', 'intermediate', 'jacobian', 'in', 'this', 'paper', 'we', 'discuss', 'the', 'possible', 'degenerations', 'of', 'these', 'abelian', 'varieties', 'and', 'thus', 'give', 'a', 'description', 'of', 'the', 'compactification', 'of', 'the', 'moduli', 'space', 'of', 'cubic', 'threefolds', 'obtained', 'in', 'this', 'way', 'the', 'relation', 'between', 'this', 'compactification', 'and', 'those', 'constructed', 'in', 'the', 'work', 'of', 'allcockcarlsontoledo', 'and', 'looijengaswierstra', 'is', 'also', 'considered', 'and', 'is', 'similar', 'in', 'spirit', 'to', 'the', 'relation', 'between', 'the', 'various', 'compactifications', 'of', 'the', 'moduli', 'spaces', 'of', 'low', 'genus', 'curves']] | [-0.1535274376360218, 0.07914641899255555, -0.12191648010080786, 0.12464304473329586, -0.07754943795303364, -0.0864905554571011, 0.033151517658797876, 0.3011892158538103, -0.29466810562972273, -0.26377832012125446, 0.10706295673159903, -0.21141597802824016, -0.20645636992968536, 0.2238575564278813, -0.1666729688079337, -0.01999805351847448, -0.01883525536343288, 0.0007179967138204682, -0.13230737295914755, -0.35166012089741366, 0.4205030430045523, -0.03795178784999285, 0.25401084537596935, 0.07876328236601327, 0.09393984922783429, -0.022378205311264884, -0.014392510506460506, -0.011528915344028515, -0.14534624155620282, 0.1788069831319886, 0.30646914574369954, 0.05884618065162991, 0.09842763979280933, -0.36317770168436375, -0.18502275988438657, 0.1738066446164288, 0.1168342565861269, 0.10250179872460914, 0.018519032218106343, -0.23464008129798294, 0.06989334443625941, -0.14293693200805424, -0.2032262080171135, -0.07229966748233758, 0.021305110666566016, 0.030182627113431358, -0.16559652545164977, 0.012496294555440022, 0.10176867197576409, 0.11183837533593596, -0.07529775428015403, -0.07073028148622827, -0.10465621385655334, 0.05984881210004848, 0.07856865756192737, 0.08627569639866942, 0.012596746451441156, -0.13910662073621086, -0.07415293168611406, 0.4051874957225296, -0.06712152470907803, -0.15022994424059485, 0.154000831569095, -0.15160559383587222, -0.1218223484557415, 0.09030631512633702, 0.09382355880787534, 0.17911072014674043, -0.03466341063756956, 0.1595047820418984, -0.07509245682151967, 0.06950464714423157, 0.10772869053585821, -0.0024988824093526, 0.14341473108513303, 0.12627038672001342, 0.027038734019053785, 0.15037846680353867, -0.022289472454217044, -0.051812077757347835, -0.40743183411574097, -0.18101359634879935, -0.12414019311035282, 0.14653609168789025, -0.1293802769333739, -0.15083377835801226, 0.39999338966176917, 0.05017896241958389, 0.26731791909198077, 0.09232446747005321, 0.20632107208451528, 0.023144148614550573, 0.02468019916958521, 0.014491485956313319, 0.2265080049152622, 0.18498016524473937, 0.01893233795639839, -0.15244498335968262, -0.018897509160503912, 0.16239917848594068] |
710.533 | Search for vertical stratification of metals in atmospheres of blue
horizontal-branch stars | The observed abundance peculiarities of many chemical species relative to the
expected cluster metallicity in blue horizontal-branch (BHB) stars presumably
appear as a result of atomic diffusion in the photosphere. The slow rotation
(typically $v\sin{i}<$ 10 km s$^{-1}$) of BHB stars with effective temperatures
$T_{\rm eff}>$ 11,500 K supports this idea since the diffusion mechanism is
only effective in a stable stellar atmosphere. In this work we search for
observational evidence of vertical chemical stratification in the atmospheres
of six hot BHB stars: B84, B267 and B279 in M15 and WF2-2541, WF4-3085 and
WF4-3485 in M13. We undertake an abundance stratification analysis of the
stellar atmospheres of the aforementioned stars, based on acquired Keck HIRES
spectra. We have found from our numerical simulations that three stars (B267,
B279 and WF2-2541) show clear signatures of the vertical stratification of iron
whose abundance increases toward the lower atmosphere, while the other two
stars (B84 and WF4-3485) do not. For WF4-3085 the iron stratification results
are inconclusive. B267 also shows a signature of titanium stratification. Our
estimates for radial velocity, $v\sin{i}$ and overall iron, titanium and
phosphorus abundances agree with previously published data for these stars
after taking the measurement errors into account. The results support the
hypothesis regarding the efficiency of atomic diffusion in the stellar
atmospheres of BHB stars with $T_{\rm eff}>$ 11,500 K.
| astro-ph | the observed abundance peculiarities of many chemical species relative to the expected cluster metallicity in blue horizontalbranch bhb stars presumably appear as a result of atomic diffusion in the photosphere the slow rotation typically vsini 10 km s1 of bhb stars with effective temperatures t_rm eff 11500 k supports this idea since the diffusion mechanism is only effective in a stable stellar atmosphere in this work we search for observational evidence of vertical chemical stratification in the atmospheres of six hot bhb stars b84 b267 and b279 in m15 and wf22541 wf43085 and wf43485 in m13 we undertake an abundance stratification analysis of the stellar atmospheres of the aforementioned stars based on acquired keck hires spectra we have found from our numerical simulations that three stars b267 b279 and wf22541 show clear signatures of the vertical stratification of iron whose abundance increases toward the lower atmosphere while the other two stars b84 and wf43485 do not for wf43085 the iron stratification results are inconclusive b267 also shows a signature of titanium stratification our estimates for radial velocity vsini and overall iron titanium and phosphorus abundances agree with previously published data for these stars after taking the measurement errors into account the results support the hypothesis regarding the efficiency of atomic diffusion in the stellar atmospheres of bhb stars with t_rm eff 11500 k | [['the', 'observed', 'abundance', 'peculiarities', 'of', 'many', 'chemical', 'species', 'relative', 'to', 'the', 'expected', 'cluster', 'metallicity', 'in', 'blue', 'horizontalbranch', 'bhb', 'stars', 'presumably', 'appear', 'as', 'a', 'result', 'of', 'atomic', 'diffusion', 'in', 'the', 'photosphere', 'the', 'slow', 'rotation', 'typically', 'vsini', '10', 'km', 's1', 'of', 'bhb', 'stars', 'with', 'effective', 'temperatures', 't_rm', 'eff', '11500', 'k', 'supports', 'this', 'idea', 'since', 'the', 'diffusion', 'mechanism', 'is', 'only', 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710.5331 | Higgs boson decays in the Complex MSSM | The analysis of the Higgs search results at LEP showed that a part of the
MSSM parameter space with non-zero complex phases could not be excluded, where
the lightest neutral Higgs boson, h_1, has a mass of only about 45 GeV and the
second lightest neutral Higgs boson, h_2, has a sizable branching fraction into
a pair of h_1 states. Full one-loop results for the Higgs cascade decay h_2 -->
h_1 h_1 are presented and combined with two-loop Higgs propagator corrections
taken from the program FeynHiggs. Using the improved theoretical prediction to
analyse the limits on topological cross sections obtained at LEP, the existence
of an unexcluded region at low Higgs mass is confirmed. The effect of the
genuine vertex corrections on the size and shape of this region is discussed.
| hep-ph | the analysis of the higgs search results at lep showed that a part of the mssm parameter space with nonzero complex phases could not be excluded where the lightest neutral higgs boson h_1 has a mass of only about 45 gev and the second lightest neutral higgs boson h_2 has a sizable branching fraction into a pair of h_1 states full oneloop results for the higgs cascade decay h_2 h_1 h_1 are presented and combined with twoloop higgs propagator corrections taken from the program feynhiggs using the improved theoretical prediction to analyse the limits on topological cross sections obtained at lep the existence of an unexcluded region at low higgs mass is confirmed the effect of the genuine vertex corrections on the size and shape of this region is discussed | [['the', 'analysis', 'of', 'the', 'higgs', 'search', 'results', 'at', 'lep', 'showed', 'that', 'a', 'part', 'of', 'the', 'mssm', 'parameter', 'space', 'with', 'nonzero', 'complex', 'phases', 'could', 'not', 'be', 'excluded', 'where', 'the', 'lightest', 'neutral', 'higgs', 'boson', 'h_1', 'has', 'a', 'mass', 'of', 'only', 'about', '45', 'gev', 'and', 'the', 'second', 'lightest', 'neutral', 'higgs', 'boson', 'h_2', 'has', 'a', 'sizable', 'branching', 'fraction', 'into', 'a', 'pair', 'of', 'h_1', 'states', 'full', 'oneloop', 'results', 'for', 'the', 'higgs', 'cascade', 'decay', 'h_2', 'h_1', 'h_1', 'are', 'presented', 'and', 'combined', 'with', 'twoloop', 'higgs', 'propagator', 'corrections', 'taken', 'from', 'the', 'program', 'feynhiggs', 'using', 'the', 'improved', 'theoretical', 'prediction', 'to', 'analyse', 'the', 'limits', 'on', 'topological', 'cross', 'sections', 'obtained', 'at', 'lep', 'the', 'existence', 'of', 'an', 'unexcluded', 'region', 'at', 'low', 'higgs', 'mass', 'is', 'confirmed', 'the', 'effect', 'of', 'the', 'genuine', 'vertex', 'corrections', 'on', 'the', 'size', 'and', 'shape', 'of', 'this', 'region', 'is', 'discussed']] | [-0.07102869183514625, 0.2374140716203748, -0.036636232528298236, 0.15840904191584113, -0.05370138996065809, -0.14391662769306166, 0.04194762276199002, 0.31129801634054344, -0.17744259745455704, -0.25735075184359, 0.02137173988426534, -0.29169728451121885, 0.05173689417469387, 0.1519708105783838, 0.07705368089015023, 0.06769616505704247, 0.13024437056334975, 0.028131324468323816, -0.02071643942931237, -0.2889357911207928, 0.29014134872883846, 0.02333697547706274, 0.15540964373100835, 0.14755993525569255, 0.05224522461828131, 0.010253720540696612, -0.0310195428910307, -0.09483391993988055, -0.1961230699029469, 0.07904212858948785, 0.13987024097452658, 0.05696197041095449, 0.15109928072645115, -0.25933007563894184, -0.11475699346942397, 0.1826353812840982, 0.18094793883725427, 0.0691410479010441, -0.06239863988191176, -0.36933957554149227, 0.11388753621677797, -0.20145530616864563, -0.09430363941221283, -0.03827083974611014, -0.04224616209976375, -0.1784690766523664, -0.32550808056257663, 0.06442746522549826, -0.08175125465943263, 0.030930056523245115, 0.007610974899636439, -0.2213508375777075, -0.17961982970591633, 0.02460975179162163, 0.12508809784104905, 0.03450323103282314, 0.19043272887429338, -0.21168216174074378, -0.1753844277198928, 0.3946974379941821, -0.13266276740110838, -0.14560463823234807, 0.13936796189429096, -0.21702963255464475, -0.18420583518544356, 0.2274024150047738, 0.17993530290058027, 0.04583662347151683, -0.12005492598892978, 0.2192577689462968, -0.04425421454943716, 0.17830250364943193, 0.037562242024936354, 0.031099274536021626, 0.23273836985373728, 0.16441126568601108, 0.03614516445937065, 0.07728445002218136, -0.08253711507870601, -0.07004868588052117, -0.4548795829885281, -0.14722709738147946, -0.06676975881609205, 0.027896241796350717, -0.06863137933284563, -0.08966559296688781, 0.366598199110908, 0.06058246545547333, 0.2924019816474846, 0.010245439861542903, 0.29883279625971154, 0.13112877255144456, 0.12103635274733489, 0.00695752096004211, 0.3482535595074296, 0.17622233036762247, 0.08946962255465153, -0.2339688287942688, -0.005530387764939895, 0.1119743333502601] |
710.5332 | Leptonic Decays at BABAR | We present recent results on leptonic B decays using data collected by the
BaBar detector at the PEP-II asymmetric-energy e+e- collider at the Stanford
Linear Accelerator Center. We report searches for the B -> tau nu decay, based
on two statistically independent data samples.
| hep-ex | we present recent results on leptonic b decays using data collected by the babar detector at the pepii asymmetricenergy ee collider at the stanford linear accelerator center we report searches for the b tau nu decay based on two statistically independent data samples | [['we', 'present', 'recent', 'results', 'on', 'leptonic', 'b', 'decays', 'using', 'data', 'collected', 'by', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'ee', 'collider', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'we', 'report', 'searches', 'for', 'the', 'b', 'tau', 'nu', 'decay', 'based', 'on', 'two', 'statistically', 'independent', 'data', 'samples']] | [-0.07879773185176905, 0.14667303700996345, -0.07441693938575512, 0.013463317270412348, -0.0812950826488262, -0.2022816123939011, 0.06821700768967615, 0.31235527351152065, -0.18104069671312042, -0.23564787507923537, 0.01138613122342111, -0.5089585284464234, 0.09845361345295989, 0.24256142768683994, 0.16265229714038068, 0.17734592979730562, 0.2413092470338005, -0.028446954653360123, -0.05188930491635273, -0.22891273776199236, 0.22465114962569502, 0.1871761780362143, 0.31528579765324327, 0.033459914263424484, 0.05893070251291055, 0.011222761340959127, -0.1056829916616512, -0.11141194021979044, -0.15598267725084064, 0.008937440057241813, 0.2529202127601778, 0.21272729024907633, 0.10283126647389212, -0.39877888815867346, 0.07801623770230731, 0.19893839669435523, 0.082806522676418, -0.010957566111586815, -0.15066823625915446, -0.43063876606783896, 0.1320859977628949, -0.1827203825787576, 0.03139624711082772, 0.0005784552371086077, 0.07027094676917375, -0.10356468638015348, -0.37941277724539124, 0.06517225231022336, -0.13112234976142645, 0.15071542305481989, -0.02313049177660845, -0.2858202919190706, 0.06697599288769239, -0.10463213605459692, 0.011736221091691838, 0.02420324161865337, 0.2341276985853044, -0.04730463790339093, -0.2749849920009458, 0.25770079691049663, -0.11838921869910041, -0.07302876609529174, 0.23602046437973026, -0.34060031592542694, -0.17566787700038836, 0.11533147930492495, 0.3667966997857357, -0.010547676708462626, -0.2397701739398546, 0.199999415326517, -0.06981135930779368, 0.10882314565309952, 0.08785168038204659, 0.027297008273646582, 0.19722292991355062, 0.26344983730746735, 0.025220660059604535, 0.09081707897509426, -0.19877750381047643, 0.0904009521960519, -0.47765731776869574, -0.022965907833950465, -0.12243321347375248, 0.03619805760248456, 0.08681845362839657, 0.0007043558681860219, 0.3944733139387397, 0.03885861087677091, 0.35503169547679814, 0.04056275449693203, 0.30972521292955374, 0.01860736721996651, 0.028115720450905216, 0.13162843449424336, 0.3107797581442567, 0.0457508310643133, 0.2020499858528722, -0.32525065520691665, 0.0029278334885359156, -0.006152712750833395] |
710.5333 | Neutrosophic Relational Data Model | In this paper, we present a generalization of the relational data model based
on interval neutrosophic set. Our data model is capable of manipulating
incomplete as well as inconsistent information. Fuzzy relation or
intuitionistic fuzzy relation can only handle incomplete information.
Associated with each relation are two membership functions one is called
truth-membership function T which keeps track of the extent to which we believe
the tuple is in the relation, another is called falsity-membership function F
which keeps track of the extent to which we believe that it is not in the
relation. A neutrosophic relation is inconsistent if there exists one tuple a
such that T(a) + F(a) > 1 . In order to handle inconsistent situation, we
propose an operator called "split" to transform inconsistent neutrosophic
relations into pseudo-consistent neutrosophic relations and do the
set-theoretic and relation-theoretic operations on them and finally use another
operator called "combine" to transform the result back to neutrosophic
relation. For this data model, we define algebraic operators that are
generalizations of the usual operators such as intersection, union, selection,
join on fuzzy relations. Our data model can underlie any database and
knowledge-base management system that deals with incomplete and inconsistent
information.
| cs.DB | in this paper we present a generalization of the relational data model based on interval neutrosophic set our data model is capable of manipulating incomplete as well as inconsistent information fuzzy relation or intuitionistic fuzzy relation can only handle incomplete information associated with each relation are two membership functions one is called truthmembership function t which keeps track of the extent to which we believe the tuple is in the relation another is called falsitymembership function f which keeps track of the extent to which we believe that it is not in the relation a neutrosophic relation is inconsistent if there exists one tuple a such that ta fa 1 in order to handle inconsistent situation we propose an operator called split to transform inconsistent neutrosophic relations into pseudoconsistent neutrosophic relations and do the settheoretic and relationtheoretic operations on them and finally use another operator called combine to transform the result back to neutrosophic relation for this data model we define algebraic operators that are generalizations of the usual operators such as intersection union selection join on fuzzy relations our data model can underlie any database and knowledgebase management system that deals with incomplete and inconsistent information | [['in', 'this', 'paper', 'we', 'present', 'a', 'generalization', 'of', 'the', 'relational', 'data', 'model', 'based', 'on', 'interval', 'neutrosophic', 'set', 'our', 'data', 'model', 'is', 'capable', 'of', 'manipulating', 'incomplete', 'as', 'well', 'as', 'inconsistent', 'information', 'fuzzy', 'relation', 'or', 'intuitionistic', 'fuzzy', 'relation', 'can', 'only', 'handle', 'incomplete', 'information', 'associated', 'with', 'each', 'relation', 'are', 'two', 'membership', 'functions', 'one', 'is', 'called', 'truthmembership', 'function', 't', 'which', 'keeps', 'track', 'of', 'the', 'extent', 'to', 'which', 'we', 'believe', 'the', 'tuple', 'is', 'in', 'the', 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710.5334 | Direct Observation of Whispering Gallery Mode Polaritons and Their
Dispersion in a ZnO Tapered Microcavity | We report direct observation of the strong exciton-photon coupling in ZnO
tapered whispering gallery (WG) microcavity at room temperature. By scanning
excitations along the tapered arm of ZnO tetrapod using micro-photoluminescence
spectrometer with different polarizations, we observed a transition from the
pure WG optical modes in the weak interaction regime to the excitonic polariton
in the strong coupling regime. The experimental observations are well described
by using the plane wave model including excitonic polariton dispersion
relation. This provides a direct mapping of the polariton dispersion, and thus
a comprehensive picture for coupling of different excitons with differently
polarized WG modes.
| cond-mat.mes-hall cond-mat.mtrl-sci | we report direct observation of the strong excitonphoton coupling in zno tapered whispering gallery wg microcavity at room temperature by scanning excitations along the tapered arm of zno tetrapod using microphotoluminescence spectrometer with different polarizations we observed a transition from the pure wg optical modes in the weak interaction regime to the excitonic polariton in the strong coupling regime the experimental observations are well described by using the plane wave model including excitonic polariton dispersion relation this provides a direct mapping of the polariton dispersion and thus a comprehensive picture for coupling of different excitons with differently polarized wg modes | [['we', 'report', 'direct', 'observation', 'of', 'the', 'strong', 'excitonphoton', 'coupling', 'in', 'zno', 'tapered', 'whispering', 'gallery', 'wg', 'microcavity', 'at', 'room', 'temperature', 'by', 'scanning', 'excitations', 'along', 'the', 'tapered', 'arm', 'of', 'zno', 'tetrapod', 'using', 'microphotoluminescence', 'spectrometer', 'with', 'different', 'polarizations', 'we', 'observed', 'a', 'transition', 'from', 'the', 'pure', 'wg', 'optical', 'modes', 'in', 'the', 'weak', 'interaction', 'regime', 'to', 'the', 'excitonic', 'polariton', 'in', 'the', 'strong', 'coupling', 'regime', 'the', 'experimental', 'observations', 'are', 'well', 'described', 'by', 'using', 'the', 'plane', 'wave', 'model', 'including', 'excitonic', 'polariton', 'dispersion', 'relation', 'this', 'provides', 'a', 'direct', 'mapping', 'of', 'the', 'polariton', 'dispersion', 'and', 'thus', 'a', 'comprehensive', 'picture', 'for', 'coupling', 'of', 'different', 'excitons', 'with', 'differently', 'polarized', 'wg', 'modes']] | [-0.16820225407835096, 0.22081647332757712, -0.07034086392144673, -0.05037844597478397, -0.059552401676774024, -0.15519779658410698, 0.06794452004134655, 0.47827708065509794, -0.22329285260289908, -0.2599650391656905, -0.040686610339907926, -0.2943872429989278, -0.07243014981970192, 0.20610812105005608, 0.11124256826005877, 0.05569543098565191, 0.0226803481252864, -0.11892038431949914, 0.01410726377973333, -0.08793528208625503, 0.2782928045548033, 0.0045520538021810355, 0.3972300384938717, 0.08616613770253025, 0.0761480600014329, 0.003004591567441821, 0.09638286905828863, -0.028683109069243075, -0.16145033607259393, 0.08325477355159819, 0.2751507324218983, -0.10038155649905094, 0.2317353073321283, -0.421754602715373, -0.18988984349183738, -0.04451105007203296, 0.16861204576212913, 0.16358008289709688, -0.09651678931899368, -0.3566084211319685, -0.024580176249146463, -0.10140555190155283, -0.10170907803811133, -0.015416980367153882, -0.03938359651714563, 0.0009923672024160623, -0.23173551966436207, 0.07732653445098549, 0.003381853780010715, 0.08741947330534458, -0.0472766128834337, -0.05622283944860101, -0.07174996198387816, 0.024915995097253472, -0.018178101499797775, 0.00969888894353062, 0.1421503468696028, -0.12422443885239773, -0.09088321703020483, 0.36798681274987755, -0.19357170512899757, -0.06002559901215136, 0.19710745880380273, -0.21649463483132422, 0.03516316787339747, 0.16376746796071529, 0.13825592518260238, 0.1085642792400904, -0.07012244194280357, 0.05263670966909558, -0.039659799188229955, 0.1953138385899365, 0.10642191808088683, 0.154574591438286, 0.2553810762055218, 0.20096105647156948, -0.025921038575470446, 0.1643498392868787, -0.08531445775181055, 0.00330614933045581, -0.2665416997420834, -0.12943493929051328, -0.1914610604790505, 0.015549498950567795, -0.06410893571257475, -0.13831605803221464, 0.4514015893545002, 0.07177785331383348, 0.15115760983899235, 0.014569801546167582, 0.3104585496056825, 0.15315588898956775, 0.06252444769954309, -0.04027564684394747, 0.4042530623450875, 0.21533442685846238, 0.07287074309075252, -0.3442671909718774, -0.04763025591149926, -0.012605377431027591] |
710.5335 | Limits on the Production of Narrow t-tbar Resonances in p-pbar
Collisions at sqrt(s)=1.96 TeV | We search for evidence of resonant top quark pair production in 955 pb-1 of
p-pbar collisions at sqrt(s)=1.96 TeV recorded with the CDF II detector at the
Fermilab Tevatron. For fully reconstructed candidate t-tbar events triggered on
leptons with large transverse momentum and containing at least one identified
b-quark jet, we compare the invariant mass spectrum of t-tbar pairs to the
expected superposition of standard model t-tbar, non-t-tbar backgrounds, and a
simple resonance model based on a sequential Z' boson. We establish upper
limits for sigma(p-pbar to Z') times Br(Z' to t-tbar) in the Z' mass interval
from 450 GeV/c2 to 900 GeV/c2. A topcolor leptophobic Z' is ruled out below 720
GeV/c2, and the cross section of any narrow Z'-like state decaying to t-tbar is
found to be less than 0.64 pb at 95% C.L. for M(Z') above 700 GeV/c2.
| hep-ex | we search for evidence of resonant top quark pair production in 955 pb1 of ppbar collisions at sqrts196 tev recorded with the cdf ii detector at the fermilab tevatron for fully reconstructed candidate ttbar events triggered on leptons with large transverse momentum and containing at least one identified bquark jet we compare the invariant mass spectrum of ttbar pairs to the expected superposition of standard model ttbar nonttbar backgrounds and a simple resonance model based on a sequential z boson we establish upper limits for sigmappbar to z times brz to ttbar in the z mass interval from 450 gevc2 to 900 gevc2 a topcolor leptophobic z is ruled out below 720 gevc2 and the cross section of any narrow zlike state decaying to ttbar is found to be less than 064 pb at 95 cl for mz above 700 gevc2 | [['we', 'search', 'for', 'evidence', 'of', 'resonant', 'top', 'quark', 'pair', 'production', 'in', '955', 'pb1', 'of', 'ppbar', 'collisions', 'at', 'sqrts196', 'tev', 'recorded', 'with', 'the', 'cdf', 'ii', 'detector', 'at', 'the', 'fermilab', 'tevatron', 'for', 'fully', 'reconstructed', 'candidate', 'ttbar', 'events', 'triggered', 'on', 'leptons', 'with', 'large', 'transverse', 'momentum', 'and', 'containing', 'at', 'least', 'one', 'identified', 'bquark', 'jet', 'we', 'compare', 'the', 'invariant', 'mass', 'spectrum', 'of', 'ttbar', 'pairs', 'to', 'the', 'expected', 'superposition', 'of', 'standard', 'model', 'ttbar', 'nonttbar', 'backgrounds', 'and', 'a', 'simple', 'resonance', 'model', 'based', 'on', 'a', 'sequential', 'z', 'boson', 'we', 'establish', 'upper', 'limits', 'for', 'sigmappbar', 'to', 'z', 'times', 'brz', 'to', 'ttbar', 'in', 'the', 'z', 'mass', 'interval', 'from', '450', 'gevc2', 'to', '900', 'gevc2', 'a', 'topcolor', 'leptophobic', 'z', 'is', 'ruled', 'out', 'below', '720', 'gevc2', 'and', 'the', 'cross', 'section', 'of', 'any', 'narrow', 'zlike', 'state', 'decaying', 'to', 'ttbar', 'is', 'found', 'to', 'be', 'less', 'than', '064', 'pb', 'at', '95', 'cl', 'for', 'mz', 'above', '700', 'gevc2']] | [-0.03506726847263053, 0.23853555367594317, -0.027938502145531986, 0.18411561124459175, -0.0367933668429032, -0.17993083911216154, 0.08898601096589118, 0.34594123787911873, -0.12025055792182684, -0.3374534824463938, -0.0748223347705789, -0.3819307235335665, 0.19142708460401212, 0.15395716663915665, 0.12300807553609568, 0.10898046134305851, 0.12091477413528733, 0.006483653854645256, -0.06013802962760175, -0.24365951103557434, 0.20846223698130675, 0.04008865944508996, 0.2166511288711003, 0.10950081705398458, 0.13315358976500907, 0.03925449282562892, -0.021183113279403188, -0.1757954205852002, -0.13318561143907054, -0.0020938410138894273, 0.2528068705507654, 0.042773001750798095, 0.0756951691782368, -0.21456350691816103, 0.011582629999611526, 0.15300267573246465, 0.1684546625474468, 0.007738225659288998, -0.06405763798060694, -0.38516560927299515, 0.2469623313252149, -0.24659630146509567, -0.08022543113412602, 0.07775919214722567, -0.00257767414940255, -0.14637194836645254, -0.35624636759457645, 0.17605430664095495, -0.07529372587076588, 0.09596977497297172, 0.04373069496359676, -0.23825302749007407, -0.1474975423122357, -0.13069571841375105, 0.0764078845486178, 0.12095522007771901, 0.23627328326859112, -0.13918958008745383, -0.23702661614598972, 0.30166178418273504, -0.10417430382440215, -0.13213484865679806, 0.2235137322618227, -0.24149493012311204, -0.13935189135538947, 0.23356888643465937, 0.3155628643231466, 0.05405462516438482, -0.2989044536586984, 0.11852413790308804, -0.02397063587975156, 0.25017841548625647, 0.11025139039764846, 0.03392809326926779, 0.25533067076466975, 0.23044151067733765, 0.007932688545302621, 0.012763506958227871, -0.21915952682694687, -0.03683994546798723, -0.4698870551240231, -0.09572192987294069, -0.02630409609659442, 0.09817837260405733, -0.02000401244284668, -0.04821341525364135, 0.34371147768438925, 0.07994347295191671, 0.3770635346017246, 0.03541131124033459, 0.2537489391547362, 0.11675349695142359, 0.08651196142059885, 0.07942855994582974, 0.32965519798121284, 0.16424511026458016, 0.1411963834227728, -0.11653163229348137, -0.03047999670795564, 0.03643961729914216] |
710.5336 | On injectivity of maps between Grothendieck groups induced by completion | We give an example of a local normal domain $R$ such that the map of
Grothendieck groups $\G(R) \to \G(\hat R)$ is not injective. We also raise some
questions about the kernel of that map.
| math.AC math.KT | we give an example of a local normal domain r such that the map of grothendieck groups gr to ghat r is not injective we also raise some questions about the kernel of that map | [['we', 'give', 'an', 'example', 'of', 'a', 'local', 'normal', 'domain', 'r', 'such', 'that', 'the', 'map', 'of', 'grothendieck', 'groups', 'gr', 'to', 'ghat', 'r', 'is', 'not', 'injective', 'we', 'also', 'raise', 'some', 'questions', 'about', 'the', 'kernel', 'of', 'that', 'map']] | [-0.1336749949359468, -0.005656365793713901, -0.1233356968366674, 0.11298569793746407, -0.12284127665417535, -0.14878839934244753, -0.0004245674836316279, 0.4012692758015224, -0.38438219550464836, -0.1908902283757925, 0.13804026270019157, -0.24655834802127044, -0.1843707819336227, 0.20921728762664965, -0.14465781856062157, -0.09166810831853321, 0.0014553377404808998, 0.08997107013960236, -0.09748150928478155, -0.3110815966767924, 0.37666482659322875, 0.02458399850875139, 0.12809517388897282, 0.07928430477955511, 0.09766597686601537, -0.04473620548046061, -0.0363923658882933, 0.027398826288325445, -0.19596472695411649, 0.10540744313704116, 0.26479774952999185, 0.19968747698834965, 0.2558775476046971, -0.3609211442725999, -0.1366755597426423, 0.20567821530359132, 0.10425153509048479, 0.03744590750762394, -0.04142503635625222, -0.2639574492616313, 0.14845758652580635, -0.16770796424576215, -0.09439767435459154, -0.05937757438846997, 0.10670123105602605, 0.0026374079287052156, -0.24852881507415855, 0.017008077718284248, 0.16230332904628345, 0.10720456721527236, -0.051768879459372585, -0.08041269348136017, -0.01814414496932711, 0.13710696936718056, -0.01132615408860147, 0.08627689680350678, 0.13531919530443182, -0.15591678462390388, -0.043968970222132545, 0.36251579682741847, -0.07745715440916164, -0.19879198841351484, 0.1720358796151621, -0.202527284329491, -0.13950570981417384, 0.04849740455725363, 0.03980137556791306, 0.11986885251743452, -0.05337059817143849, 0.15628319797771317, -0.17993189027266843, 0.14696430734225682, 0.06263204009405204, 0.010947385456945215, 0.14565484668793424, 0.05639104938932828, 0.13521331468863146, 0.1053065207653812, -0.011439152753778867, 0.0673704276659659, -0.3872451852474894, -0.20462161409003393, -0.13429362643510104, 0.10187333032663445, -0.10045096342052733, -0.19021681784652172, 0.4080441909176963, 0.1518033339109804, 0.21658139106418406, 0.06657717946384634, 0.1884922655565398, 0.048924683327121396, 0.01744149172944682, 0.0672016753016838, 0.11707952133396507, 0.15006259876702513, -0.004427654083286013, -0.13351726937772973, -0.03464035842833774, 0.10755778423377446] |
710.5337 | Status of 2+1 flavor, 32^3x64 domain wall fermion simulations | We describe details of 1/a ~ 2.2Gev, L ~ 3 fm dynamical domain wall fermion
simulations which will allow us to do a more systematic continuum extrapolation
in combination with existing simu- lations. Details of the simulations such as
algorithm choices and machine performance, as well as results of basic
measurements are presented. These configurations are presently being generated
on the QCDOC machine at Edinburgh and the DOE QCDOC machine at Brookhaven as
part of a joint project with LHPC.
| hep-lat | we describe details of 1a 22gev l 3 fm dynamical domain wall fermion simulations which will allow us to do a more systematic continuum extrapolation in combination with existing simu lations details of the simulations such as algorithm choices and machine performance as well as results of basic measurements are presented these configurations are presently being generated on the qcdoc machine at edinburgh and the doe qcdoc machine at brookhaven as part of a joint project with lhpc | [['we', 'describe', 'details', 'of', '1a', '22gev', 'l', '3', 'fm', 'dynamical', 'domain', 'wall', 'fermion', 'simulations', 'which', 'will', 'allow', 'us', 'to', 'do', 'a', 'more', 'systematic', 'continuum', 'extrapolation', 'in', 'combination', 'with', 'existing', 'simu', 'lations', 'details', 'of', 'the', 'simulations', 'such', 'as', 'algorithm', 'choices', 'and', 'machine', 'performance', 'as', 'well', 'as', 'results', 'of', 'basic', 'measurements', 'are', 'presented', 'these', 'configurations', 'are', 'presently', 'being', 'generated', 'on', 'the', 'qcdoc', 'machine', 'at', 'edinburgh', 'and', 'the', 'doe', 'qcdoc', 'machine', 'at', 'brookhaven', 'as', 'part', 'of', 'a', 'joint', 'project', 'with', 'lhpc']] | [-0.045602158373908304, 0.10175283701541141, -0.08206829193155639, 0.046312960712477945, -0.10084440062443416, -0.1219844969156652, 0.019639505861470334, 0.40545024235661214, -0.20609607771994212, -0.33336112692725295, 0.15300870130214697, -0.2873237252426453, -0.06172232178878636, 0.21899730693220568, -0.00228801096837299, 0.08492340237045518, 0.08421922453607504, -0.006793894318457789, -0.06764940841374202, -0.20786342722996592, 0.27920773020312667, 0.09810652726520903, 0.2584644822666469, 0.036376745965427316, 0.05548898016030972, 0.00017963428026399552, -0.0656133049819917, -0.016791980946436524, -0.13225549101256406, 0.07253459353859608, 0.2778125145496466, 0.11083711132717629, 0.23379784705451664, -0.38449894675077534, -0.15328538273341763, 0.032398115670403994, 0.12185507042046922, 0.10449699764341439, 0.0008445162173488941, -0.2652155524000334, 0.0987118607870518, -0.18477003067397538, -0.13270499313680026, -0.11894140424182972, -0.030206770665991384, 0.06429720293190491, -0.2613953970289097, 0.01732699464385708, 0.0059454345068959994, 0.12272739184733766, -0.020429003183753826, -0.2041704079422813, 0.01324912979422758, 0.11889856830552722, 0.009029900762610711, 0.09049084278134008, 0.15116482557585606, -0.10043890389780967, -0.16040807505114338, 0.38603101178812677, -0.025900835077314135, -0.14511498869157946, 0.241252970111628, -0.12042549379671422, -0.16867328577268964, 0.06250742536324722, 0.2050359401779506, 0.0515937219815663, -0.12080115626733272, 0.06083696854796308, -0.035378080900185384, 0.1687494093964163, 0.037477333955347344, -0.0033064933720594034, 0.19428610348274025, 0.2018024485113505, -0.026376457965502944, 0.07280431347242437, -0.08206328391754188, -0.07585357425686641, -0.3373215688058199, -0.06668115524240793, -0.14174275919018933, 0.04581482714424149, -0.017092508562013674, -0.1251438537878223, 0.34047866500436497, 0.134891407050861, 0.14236051959391588, 0.030080879780237015, 0.28314971015490115, 0.0031718351349879345, 0.09924019578820428, 0.059669436349605136, 0.19758736284879538, 0.0728177616181664, 0.14868522986459234, -0.20098741857621533, -0.022707718922995414, 0.04611845559273393] |
710.5338 | Weighted Random Popular Matchings | For a set A of n applicants and a set I of m items, we consider a problem of
computing a matching of applicants to items, i.e., a function M mapping A to I;
here we assume that each applicant $x \in A$ provides a preference list on
items in I. We say that an applicant $x \in A$ prefers an item p than an item q
if p is located at a higher position than q in its preference list, and we say
that x prefers a matching M over a matching M' if x prefers M(x) over M'(x).
For a given matching problem A, I, and preference lists, we say that M is more
popular than M' if the number of applicants preferring M over M' is larger than
that of applicants preferring M' over M, and M is called a popular matching if
there is no other matching that is more popular than M. Here we consider the
situation that A is partitioned into $A_{1},A_{2},...,A_{k}$, and that each
$A_{i}$ is assigned a weight $w_{i}>0$ such that w_{1}>w_{2}>...>w_{k}>0$. For
such a matching problem, we say that M is more popular than M' if the total
weight of applicants preferring M over M' is larger than that of applicants
preferring M' over M, and we call M an k-weighted popular matching if there is
no other matching that is more popular than M. In this paper, we analyze the
2-weighted matching problem, and we show that (lower bound) if
$m/n^{4/3}=o(1)$, then a random instance of the 2-weighted matching problem
with $w_{1} \geq 2w_{2}$ has a 2-weighted popular matching with probability
o(1); and (upper bound) if $n^{4/3}/m = o(1)$, then a random instance of the
2-weighted matching problem with $w_{1} \geq 2w_{2}$ has a 2-weighted popular
matching with probability 1-o(1).
| cs.DM cs.CC | for a set a of n applicants and a set i of m items we consider a problem of computing a matching of applicants to items ie a function m mapping a to i here we assume that each applicant x in a provides a preference list on items in i we say that an applicant x in a prefers an item p than an item q if p is located at a higher position than q in its preference list and we say that x prefers a matching m over a matching m if x prefers mx over mx for a given matching problem a i and preference lists we say that m is more popular than m if the number of applicants preferring m over m is larger than that of applicants preferring m over m and m is called a popular matching if there is no other matching that is more popular than m here we consider the situation that a is partitioned into a_1a_2a_k and that each a_i is assigned a weight w_i0 such that w_1w_2w_k0 for such a matching problem we say that m is more popular than m if the total weight of applicants preferring m over m is larger than that of applicants preferring m over m and we call m an kweighted popular matching if there is no other matching that is more popular than m in this paper we analyze the 2weighted matching problem and we show that lower bound if mn43o1 then a random instance of the 2weighted matching problem with w_1 geq 2w_2 has a 2weighted popular matching with probability o1 and upper bound if n43m o1 then a random instance of the 2weighted matching problem with w_1 geq 2w_2 has a 2weighted popular matching with probability 1o1 | [['for', 'a', 'set', 'a', 'of', 'n', 'applicants', 'and', 'a', 'set', 'i', 'of', 'm', 'items', 'we', 'consider', 'a', 'problem', 'of', 'computing', 'a', 'matching', 'of', 'applicants', 'to', 'items', 'ie', 'a', 'function', 'm', 'mapping', 'a', 'to', 'i', 'here', 'we', 'assume', 'that', 'each', 'applicant', 'x', 'in', 'a', 'provides', 'a', 'preference', 'list', 'on', 'items', 'in', 'i', 'we', 'say', 'that', 'an', 'applicant', 'x', 'in', 'a', 'prefers', 'an', 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710.5339 | Melting Crystal, Quantum Torus and Toda Hierarchy | Searching for the integrable structures of supersymmetric gauge theories and
topological strings, we study melting crystal, which is known as random plane
partition, from the viewpoint of integrable systems. We show that a series of
partition functions of melting crystals gives rise to a tau function of the
one-dimensional Toda hierarchy, where the models are defined by adding suitable
potentials, endowed with a series of coupling constants, to the standard
statistical weight. These potentials can be converted to a commutative
sub-algebra of quantum torus Lie algebra. This perspective reveals a remarkable
connection between random plane partition and quantum torus Lie algebra, and
substantially enables to prove the statement. Based on the result, we briefly
argue the integrable structures of five-dimensional $\mathcal{N}=1$
supersymmetric gauge theories and $A$-model topological strings. The
aforementioned potentials correspond to gauge theory observables analogous to
the Wilson loops, and thereby the partition functions are translated in the
gauge theory to generating functions of their correlators. In topological
strings, we particularly comment on a possibility of topology change caused by
condensation of these observables, giving a simple example.
| hep-th math-ph math.MP math.QA nlin.SI | searching for the integrable structures of supersymmetric gauge theories and topological strings we study melting crystal which is known as random plane partition from the viewpoint of integrable systems we show that a series of partition functions of melting crystals gives rise to a tau function of the onedimensional toda hierarchy where the models are defined by adding suitable potentials endowed with a series of coupling constants to the standard statistical weight these potentials can be converted to a commutative subalgebra of quantum torus lie algebra this perspective reveals a remarkable connection between random plane partition and quantum torus lie algebra and substantially enables to prove the statement based on the result we briefly argue the integrable structures of fivedimensional mathcaln1 supersymmetric gauge theories and amodel topological strings the aforementioned potentials correspond to gauge theory observables analogous to the wilson loops and thereby the partition functions are translated in the gauge theory to generating functions of their correlators in topological strings we particularly comment on a possibility of topology change caused by condensation of these observables giving a simple example | [['searching', 'for', 'the', 'integrable', 'structures', 'of', 'supersymmetric', 'gauge', 'theories', 'and', 'topological', 'strings', 'we', 'study', 'melting', 'crystal', 'which', 'is', 'known', 'as', 'random', 'plane', 'partition', 'from', 'the', 'viewpoint', 'of', 'integrable', 'systems', 'we', 'show', 'that', 'a', 'series', 'of', 'partition', 'functions', 'of', 'melting', 'crystals', 'gives', 'rise', 'to', 'a', 'tau', 'function', 'of', 'the', 'onedimensional', 'toda', 'hierarchy', 'where', 'the', 'models', 'are', 'defined', 'by', 'adding', 'suitable', 'potentials', 'endowed', 'with', 'a', 'series', 'of', 'coupling', 'constants', 'to', 'the', 'standard', 'statistical', 'weight', 'these', 'potentials', 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710.534 | Bounds on the Network Coding Capacity for Wireless Random Networks | Recently, it has been shown that the max flow capacity can be achieved in a
multicast network using network coding. In this paper, we propose and analyze a
more realistic model for wireless random networks. We prove that the capacity
of network coding for this model is concentrated around the expected value of
its minimum cut. Furthermore, we establish upper and lower bounds for wireless
nodes using Chernoff bound. Our experiments show that our theoretical
predictions are well matched by simulation results.
| cs.IT cs.NI math.IT | recently it has been shown that the max flow capacity can be achieved in a multicast network using network coding in this paper we propose and analyze a more realistic model for wireless random networks we prove that the capacity of network coding for this model is concentrated around the expected value of its minimum cut furthermore we establish upper and lower bounds for wireless nodes using chernoff bound our experiments show that our theoretical predictions are well matched by simulation results | [['recently', 'it', 'has', 'been', 'shown', 'that', 'the', 'max', 'flow', 'capacity', 'can', 'be', 'achieved', 'in', 'a', 'multicast', 'network', 'using', 'network', 'coding', 'in', 'this', 'paper', 'we', 'propose', 'and', 'analyze', 'a', 'more', 'realistic', 'model', 'for', 'wireless', 'random', 'networks', 'we', 'prove', 'that', 'the', 'capacity', 'of', 'network', 'coding', 'for', 'this', 'model', 'is', 'concentrated', 'around', 'the', 'expected', 'value', 'of', 'its', 'minimum', 'cut', 'furthermore', 'we', 'establish', 'upper', 'and', 'lower', 'bounds', 'for', 'wireless', 'nodes', 'using', 'chernoff', 'bound', 'our', 'experiments', 'show', 'that', 'our', 'theoretical', 'predictions', 'are', 'well', 'matched', 'by', 'simulation', 'results']] | [-0.14065498565948317, 0.04020639155173629, -0.07981092476558577, 0.04506230748843447, -0.009814391525962004, -0.18354369381587476, 0.11293535003944005, 0.40220047975961326, -0.24970783404551627, -0.29323133247018585, 0.11780866660552508, -0.2636323754857408, -0.23646757452998582, 0.19946825845598629, -0.10815000682842077, 0.10551910008028399, 0.08409243066817886, 0.08234036145958959, -0.023543458565410864, -0.2624132477212697, 0.27518065921144513, 0.0977100568721298, 0.34294992763969323, 0.11765944281388528, 0.046417182618070665, -0.05482128579396664, 0.0026050262016857543, 0.03538023031504098, -0.1735352537204851, 0.1585411323098148, 0.26888525717687317, 0.16445086514236543, 0.25739813899257924, -0.4264999386150299, -0.3098492731181223, 0.11743749746280473, 0.16638811515848628, 0.10278320085348153, -0.06250546487114285, -0.2567476882349427, 0.18623678071606087, -0.21698271858267396, -0.01862826389147014, -0.06666861175809329, -0.042585669125134985, 0.019246754854088423, -0.3332309634765474, 0.035613747980877214, 0.030564205921198264, -0.007370329476543702, -0.022815833147899135, -0.1251555087908012, 0.011797430076091209, 0.13966459739192322, -0.01407375392822049, 0.032177731343658596, 0.06442871666513383, -0.12590284029691956, -0.13490488817461016, 0.3251788700908059, -0.06032351733798661, -0.1779548199165885, 0.10648030490137456, -0.08345905778270851, -0.1366624046321504, 0.0658388923762775, 0.2369373066396248, 0.11578212031049699, -0.1734762632560621, 0.03282349185149253, -0.13258804119811052, 0.14339131160025917, 0.05613317234134983, 0.04163039923168537, 0.13312079723379233, 0.24113343267633422, 0.14233061986998086, 0.19963947973901225, -0.11640870611171988, -0.10105021479653149, -0.23754266280362882, -0.09628855535638428, -0.24717447647779453, 0.008933675066545242, -0.13826963117469682, -0.06557492083811667, 0.3533146841587817, 0.18036745404029583, 0.17507796794766697, 0.17980928345378944, 0.3212039287588218, 0.12836001977244982, 0.06049986707796229, 0.20968832553182615, 0.2734527349381185, 0.12799764893914958, 0.0858821403462349, -0.12986063626140537, 0.09144651043944334, 0.0319236260270927] |
710.5341 | Adiabatic approximation in the second quantized formulation | Recently there have been some controversies about the criterion of the
adiabatic approximation. It is shown that an approximate diagonalization of the
effective Hamiltonian in the second quantized formulation gives rise to a
reliable and unambiguous criterion of the adiabatic approximation. This is
illustrated for the model of Marzlin and Sanders and a model related to the
geometric phase which can be exactly diagonalized in the present sense.
| quant-ph | recently there have been some controversies about the criterion of the adiabatic approximation it is shown that an approximate diagonalization of the effective hamiltonian in the second quantized formulation gives rise to a reliable and unambiguous criterion of the adiabatic approximation this is illustrated for the model of marzlin and sanders and a model related to the geometric phase which can be exactly diagonalized in the present sense | [['recently', 'there', 'have', 'been', 'some', 'controversies', 'about', 'the', 'criterion', 'of', 'the', 'adiabatic', 'approximation', 'it', 'is', 'shown', 'that', 'an', 'approximate', 'diagonalization', 'of', 'the', 'effective', 'hamiltonian', 'in', 'the', 'second', 'quantized', 'formulation', 'gives', 'rise', 'to', 'a', 'reliable', 'and', 'unambiguous', 'criterion', 'of', 'the', 'adiabatic', 'approximation', 'this', 'is', 'illustrated', 'for', 'the', 'model', 'of', 'marzlin', 'and', 'sanders', 'and', 'a', 'model', 'related', 'to', 'the', 'geometric', 'phase', 'which', 'can', 'be', 'exactly', 'diagonalized', 'in', 'the', 'present', 'sense']] | [-0.10666282395387124, 0.08532091917197035, -0.15830264159697383, 0.0862165595873889, -0.05209810670246096, -0.14896053203162463, 0.05736212423824541, 0.3212402931222802, -0.25317134532858343, -0.3109982090057148, 0.09470793740097981, -0.21333751383730593, -0.194463955320637, 0.1751938466434641, -0.05112621536040131, 0.06952501726610695, 0.03085356968564584, 0.0734346844803761, -0.08184940393616938, -0.2391661400153466, 0.2300189264009104, 0.08158469591837596, 0.2565683339968981, 0.08931329754105878, 0.11478780874248888, -0.014405592005727264, -0.02214200490647379, 0.014026165337247007, -0.12958747962447353, 0.09684366554788806, 0.23275857699541924, 0.08583591385018628, 0.252076651161427, -0.39064106708118584, -0.20813278049257966, 0.09532062870943371, 0.15920110942576737, 0.16926685181576484, -0.016766894238946194, -0.27747725757003266, 0.07213047730928178, -0.1940721754286, -0.13396628207855804, -0.14129988063017235, 0.04388602806583924, -0.04659851185758324, -0.27096820969874147, 0.09745401522848303, 0.11662692217813696, 0.013665381627266897, -0.06768078457646291, -0.06652039142928141, 0.01756721963722478, 0.08608333667164997, 0.029364740876617897, 0.05814798483077217, 0.008924293475609054, -0.08309832431362285, -0.08384728341137387, 0.39517147817155895, -0.023118793034775403, -0.19087697039632237, 0.14286494154400906, -0.050560229009373445, -0.09677683044334545, 0.11049510734429692, 0.06754563211956445, 0.1205805199330344, -0.15885496524381726, 0.11557135158920359, -0.08233149568824207, 0.12164525643867605, 0.040441788869964725, 0.0067020823480561376, 0.16919186705832973, 0.09243724463671885, 0.07986880769364207, 0.1355533529028488, -0.0237200112794252, -0.16319761338972433, -0.2997219961766592, -0.15912760043626323, -0.20443275526357704, 0.05023491282618659, -0.05328172998548218, -0.18815621749544173, 0.42996568490258036, 0.1733748340527253, 0.18694374053088456, 0.0023869895633063555, 0.2778560778893092, 0.21414914310855024, 0.022911010179942584, 0.07601886127582368, 0.2939270421103335, 0.20031803179367938, 0.03390264589175144, -0.23353268180482487, 0.0646044104702442, 0.11847377652028467] |
710.5342 | Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and
Linear Analysis -- | We study primordial perturbations generated from quantum fluctuations of an
inflaton based on the formalism of stochastic gravity. Integrating out the
degree of freedom of the inflaton field, we analyze the time evolution of the
correlation function of the curvature perturbation at tree level and compare it
with the prediction made by the gauge-invariant linear perturbation theory. We
find that our result coincides with that of the gauge-invariant perturbation
theory if the e-folding from the horizon crossing time is smaller than some
critical value ($\sim |$slow-roll parameter $|^{-1}$), which is the case for
the scales of the observed cosmological structures. However, in the limit of
the superhorizon scale, we find a discrepancy in the curvature perturbation,
which suggests that we should include the longitudinal part of the
gravitational field in the quantization of a scalar field even in stochastic
gravity.
| hep-th gr-qc | we study primordial perturbations generated from quantum fluctuations of an inflaton based on the formalism of stochastic gravity integrating out the degree of freedom of the inflaton field we analyze the time evolution of the correlation function of the curvature perturbation at tree level and compare it with the prediction made by the gaugeinvariant linear perturbation theory we find that our result coincides with that of the gaugeinvariant perturbation theory if the efolding from the horizon crossing time is smaller than some critical value sim slowroll parameter 1 which is the case for the scales of the observed cosmological structures however in the limit of the superhorizon scale we find a discrepancy in the curvature perturbation which suggests that we should include the longitudinal part of the gravitational field in the quantization of a scalar field even in stochastic gravity | [['we', 'study', 'primordial', 'perturbations', 'generated', 'from', 'quantum', 'fluctuations', 'of', 'an', 'inflaton', 'based', 'on', 'the', 'formalism', 'of', 'stochastic', 'gravity', 'integrating', 'out', 'the', 'degree', 'of', 'freedom', 'of', 'the', 'inflaton', 'field', 'we', 'analyze', 'the', 'time', 'evolution', 'of', 'the', 'correlation', 'function', 'of', 'the', 'curvature', 'perturbation', 'at', 'tree', 'level', 'and', 'compare', 'it', 'with', 'the', 'prediction', 'made', 'by', 'the', 'gaugeinvariant', 'linear', 'perturbation', 'theory', 'we', 'find', 'that', 'our', 'result', 'coincides', 'with', 'that', 'of', 'the', 'gaugeinvariant', 'perturbation', 'theory', 'if', 'the', 'efolding', 'from', 'the', 'horizon', 'crossing', 'time', 'is', 'smaller', 'than', 'some', 'critical', 'value', 'sim', 'slowroll', 'parameter', '1', 'which', 'is', 'the', 'case', 'for', 'the', 'scales', 'of', 'the', 'observed', 'cosmological', 'structures', 'however', 'in', 'the', 'limit', 'of', 'the', 'superhorizon', 'scale', 'we', 'find', 'a', 'discrepancy', 'in', 'the', 'curvature', 'perturbation', 'which', 'suggests', 'that', 'we', 'should', 'include', 'the', 'longitudinal', 'part', 'of', 'the', 'gravitational', 'field', 'in', 'the', 'quantization', 'of', 'a', 'scalar', 'field', 'even', 'in', 'stochastic', 'gravity']] | [-0.18320361897681972, 0.16395150321196914, -0.13112721039215103, 0.0977824857275534, -0.035020127333700656, -0.059301516052801165, -0.03706419033696875, 0.2669904424276735, -0.24554186007007955, -0.2803950300041054, 0.07679226478628282, -0.2614637568593025, -0.15192357586430652, 0.14211225816980005, 0.02193048503582499, 0.02066961501591972, 0.004448624716107069, 0.08577261788637511, -0.048010376257921705, -0.23488411017294442, 0.38150076522891013, 0.09075841123620713, 0.20181992999610623, 0.018190496651056622, 0.0939853130008227, -0.014428649466883924, -0.024911250500008465, 0.0525097994832322, -0.14881305315310392, 0.05749374316073954, 0.15472152943953654, 0.0948050533188507, 0.2750151926651597, -0.4270083440467715, -0.2390131453027217, 0.09329039562560086, 0.11541797633773447, 0.16541050127208498, -0.003995070125009599, -0.2532683603947849, 0.0664154811363135, -0.14068833148267004, -0.13374910416813302, -0.04696617922745645, 0.01587630752723531, -0.05738936722461533, -0.26560199898667636, 0.13163138377879346, 0.01015646028764812, 0.02623143886615123, -0.061338229567211654, -0.07005681222238179, -0.04361933268373832, 0.05758820516722543, 0.13133218759072146, 0.06469463694977873, 0.14972931620265756, -0.16667008483449797, -0.07398140523956889, 0.37201966709856477, -0.1818583299327916, -0.15621343268347637, 0.07649514944226082, -0.2190824073439996, -0.14805006914871877, 0.09734348956429001, 0.13139826017431916, 0.1481944102793932, -0.08981514578086457, 0.15882165430936895, 0.039293129141775095, 0.1863148395238178, 0.07908403989692618, 0.030883130271519933, 0.24787959618760005, 0.1201042302152408, 0.07173165034702314, 0.10981872657513513, -0.07491580413687708, -0.14220259374872382, -0.3864817148274077, -0.11538737262248365, -0.18385794889181853, 0.07336183500010521, -0.18062333502530237, -0.18970208372920752, 0.4306942234214928, 0.20606896030102298, 0.18399829147716185, 0.11096230407711119, 0.26273047433101704, 0.15603163311357743, 0.08234399243790125, 0.08811056524781244, 0.3229386935245462, 0.15086851554390576, 0.08109321806779397, -0.2502159190796582, -0.023593263850281283, 0.03430821799140956] |
710.5343 | A geometric approach to maximum likelihood estimation of the functional
principal components from sparse longitudinal data | In this paper, we consider the problem of estimating the eigenvalues and
eigenfunctions of the covariance kernel (i.e., the functional principal
components) from sparse and irregularly observed longitudinal data. We approach
this problem through a maximum likelihood method assuming that the covariance
kernel is smooth and finite dimensional. We exploit the smoothness of the
eigenfunctions to reduce dimensionality by restricting them to a lower
dimensional space of smooth functions. The estimation scheme is developed based
on a Newton-Raphson procedure using the fact that the basis coefficients
representing the eigenfunctions lie on a Stiefel manifold. We also address the
selection of the right number of basis functions, as well as that of the
dimension of the covariance kernel by a second order approximation to the
leave-one-curve-out cross-validation score that is computationally very
efficient. The effectiveness of our procedure is demonstrated by simulation
studies and an application to a CD4 counts data set. In the simulation studies,
our method performs well on both estimation and model selection. It also
outperforms two existing approaches: one based on a local polynomial smoothing
of the empirical covariances, and another using an EM algorithm.
| stat.ME stat.CO | in this paper we consider the problem of estimating the eigenvalues and eigenfunctions of the covariance kernel ie the functional principal components from sparse and irregularly observed longitudinal data we approach this problem through a maximum likelihood method assuming that the covariance kernel is smooth and finite dimensional we exploit the smoothness of the eigenfunctions to reduce dimensionality by restricting them to a lower dimensional space of smooth functions the estimation scheme is developed based on a newtonraphson procedure using the fact that the basis coefficients representing the eigenfunctions lie on a stiefel manifold we also address the selection of the right number of basis functions as well as that of the dimension of the covariance kernel by a second order approximation to the leaveonecurveout crossvalidation score that is computationally very efficient the effectiveness of our procedure is demonstrated by simulation studies and an application to a cd4 counts data set in the simulation studies our method performs well on both estimation and model selection it also outperforms two existing approaches one based on a local polynomial smoothing of the empirical covariances and another using an em algorithm | [['in', 'this', 'paper', 'we', 'consider', 'the', 'problem', 'of', 'estimating', 'the', 'eigenvalues', 'and', 'eigenfunctions', 'of', 'the', 'covariance', 'kernel', 'ie', 'the', 'functional', 'principal', 'components', 'from', 'sparse', 'and', 'irregularly', 'observed', 'longitudinal', 'data', 'we', 'approach', 'this', 'problem', 'through', 'a', 'maximum', 'likelihood', 'method', 'assuming', 'that', 'the', 'covariance', 'kernel', 'is', 'smooth', 'and', 'finite', 'dimensional', 'we', 'exploit', 'the', 'smoothness', 'of', 'the', 'eigenfunctions', 'to', 'reduce', 'dimensionality', 'by', 'restricting', 'them', 'to', 'a', 'lower', 'dimensional', 'space', 'of', 'smooth', 'functions', 'the', 'estimation', 'scheme', 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710.5344 | Two addition theorems on polynomials of prime variables | We extend a recent result of Khalfalah and Szemeredi to the polynomials of
prime variables.
| math.NT math.CO | we extend a recent result of khalfalah and szemeredi to the polynomials of prime variables | [['we', 'extend', 'a', 'recent', 'result', 'of', 'khalfalah', 'and', 'szemeredi', 'to', 'the', 'polynomials', 'of', 'prime', 'variables']] | [-0.2395890328500952, 0.035956858324685266, -0.18417754782629864, 0.024318774596654942, -0.11936921213886567, -0.06562736241279968, 0.11653324243213449, 0.2097264487695481, -0.32503027761621134, -0.270004273259214, 0.05877121195330152, -0.26310140054140774, -0.1248239693897111, 0.19966720071222102, -0.2011867752963943, 0.07908185799273529, 0.07199329736509494, -0.034755650508616655, 0.012490995660690325, -0.4042816872575453, 0.35446411224880386, -0.021033652126789093, 0.08918023748057229, 0.05260473715939692, 0.05342235256518636, 0.06361526600085199, -0.1128448366320559, -0.0359212439507246, -0.17348229825230582, 0.17563147842884064, 0.269952132898782, 0.17199484604809964, 0.29624869035823004, -0.38785086093204363, -0.1400731094846768, 0.21995754416898958, 0.09990416786500386, 0.09298915362783841, 0.002593215887567827, -0.2290572619863919, 0.10217585913570863, -0.15912712764527118, -0.2481444724170225, -0.09060721737997872, 0.07991262578538486, 0.15451328922063112, -0.3672069569251367, 0.05445054931832211, 0.20033302307794137, 0.11561885602506143, 0.02138769586703607, -0.22075125777960888, 0.09907609823026828, 0.03970374655909836, 0.0760751956009439, 0.08970565052836069, -0.025968874106183648, -0.11369238068748798, -0.23281334979193552, 0.2745048228119101, -0.03144685711179461, -0.10598275970135417, 0.1730387955904007, -0.2374798378774098, -0.26550852081605364, 0.06025473826697895, 0.16025923724685395, 0.18501262100679533, 0.010506721279983009, 0.09868257146445103, -0.19084441395742552, 0.0881407456472516, 0.1437701898227845, 0.04270906852824347, 0.06158716284802982, 0.05354325456677803, 0.016477088377411877, 0.1879407430865935, 0.006539124995470047, -0.0015717243576156242, -0.24524181469210557, -0.20739843643137387, -0.2292309872406934, 0.07690949099404472, -0.13160008774035045, -0.11935006108667169, 0.4149559580587915, 0.1724180853260415, 0.19406109090362275, 0.14474741482575024, 0.20696220067994936, 0.0669486259243318, 0.01939734976206507, 0.04314004856028727, 0.13587588604007447, 0.346257927694491, 0.05486945927675281, -0.0784395949116775, -0.02353429520735517, 0.17760251509025693] |
710.5345 | Improved Constraints on the Acceleration History of the Universe and the
Properties of the Dark Energy | We extend and apply a model-independent analysis method developed earlier by
Daly & Djorgovski to new samples of supernova standard candles, radio galaxy
and cluster standard rulers, and use it to constrain physical properties of the
dark energy as functions of redshift. Similar results are obtained for the
radio galaxy and supernova data sets. The first and second derivatives of the
distance are compared directly with predictions in a standard model based on
General Relativity. The good agreement indicates that General Relativity
provides an accurate description of the data on look-back time scales of about
ten billion years. The first and second derivatives are combined to obtain the
acceleration parameter, assuming only the validity of the Robertson-Walker
metric, independent of a theory of gravity and of the physical nature of the
dark energy. The acceleration of the universe at the current epoch is indicated
by the analysis. The effect of non-zero space curvature on q(z) is explored. We
solve for the pressure, energy density, equation of state, and potential and
kinetic energy of the dark energy as functions of redshift assuming that
General Relativity is the correct theory of gravity, and the results indicate
that a cosmological constant in a spatially flat universe provides a good
description of each of these quantities over the redshift range from zero to
about one. We define a new function, the dark energy indicator, in terms of the
first and second derivatives of the coordinate distance and show how this can
be used to measure deviations of w from -1 and to obtain a new and independent
measure of Omega.
| astro-ph hep-th | we extend and apply a modelindependent analysis method developed earlier by daly djorgovski to new samples of supernova standard candles radio galaxy and cluster standard rulers and use it to constrain physical properties of the dark energy as functions of redshift similar results are obtained for the radio galaxy and supernova data sets the first and second derivatives of the distance are compared directly with predictions in a standard model based on general relativity the good agreement indicates that general relativity provides an accurate description of the data on lookback time scales of about ten billion years the first and second derivatives are combined to obtain the acceleration parameter assuming only the validity of the robertsonwalker metric independent of a theory of gravity and of the physical nature of the dark energy the acceleration of the universe at the current epoch is indicated by the analysis the effect of nonzero space curvature on qz is explored we solve for the pressure energy density equation of state and potential and kinetic energy of the dark energy as functions of redshift assuming that general relativity is the correct theory of gravity and the results indicate that a cosmological constant in a spatially flat universe provides a good description of each of these quantities over the redshift range from zero to about one we define a new function the dark energy indicator in terms of the first and second derivatives of the coordinate distance and show how this can be used to measure deviations of w from 1 and to obtain a new and independent measure of omega | [['we', 'extend', 'and', 'apply', 'a', 'modelindependent', 'analysis', 'method', 'developed', 'earlier', 'by', 'daly', 'djorgovski', 'to', 'new', 'samples', 'of', 'supernova', 'standard', 'candles', 'radio', 'galaxy', 'and', 'cluster', 'standard', 'rulers', 'and', 'use', 'it', 'to', 'constrain', 'physical', 'properties', 'of', 'the', 'dark', 'energy', 'as', 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710.5346 | Towards Weyl fermions on the lattice without artefacts | In spite of the breakthrough in non-perturbative chiral gauge theories during
the last decade, the present formulation has stubborn artefacts. Independently
of the fermion representation one is confronted with unwanted CP violation and
infinitely many undetermined weight factors. Renormalization group identifies
the culprit. We demonstrate the procedure on Weyl fermions in a real
representation.
| hep-lat | in spite of the breakthrough in nonperturbative chiral gauge theories during the last decade the present formulation has stubborn artefacts independently of the fermion representation one is confronted with unwanted cp violation and infinitely many undetermined weight factors renormalization group identifies the culprit we demonstrate the procedure on weyl fermions in a real representation | [['in', 'spite', 'of', 'the', 'breakthrough', 'in', 'nonperturbative', 'chiral', 'gauge', 'theories', 'during', 'the', 'last', 'decade', 'the', 'present', 'formulation', 'has', 'stubborn', 'artefacts', 'independently', 'of', 'the', 'fermion', 'representation', 'one', 'is', 'confronted', 'with', 'unwanted', 'cp', 'violation', 'and', 'infinitely', 'many', 'undetermined', 'weight', 'factors', 'renormalization', 'group', 'identifies', 'the', 'culprit', 'we', 'demonstrate', 'the', 'procedure', 'on', 'weyl', 'fermions', 'in', 'a', 'real', 'representation']] | [-0.18235251898187455, 0.2050688954208184, -0.08398401104258718, 0.0193171438834354, -0.09151632065401862, -0.14375554676236654, 0.04966013603929982, 0.32567502102918094, -0.2165018874048083, -0.28387253879810925, 0.05745723331562692, -0.2796296014502231, -0.18727286310900967, 0.09255314606276376, -0.06915491113991097, 0.05872042880704006, 0.06414755400166744, 0.05532251225991382, -0.08841935695252484, -0.298322908864874, 0.32389229689552274, -0.046329916610072054, 0.2597131892538595, 0.07837574153974722, 0.09440744764826915, 0.03610063059884986, -0.07748800003901124, -0.05903495725727192, -0.005494926624965889, 0.05870457022899279, 0.25613343558722623, 0.041976019352053605, 0.2527063304765357, -0.4028177938458544, -0.231728487216902, 0.10428817565897824, 0.17902915467318423, 0.15667094148833444, -0.08013586985611322, -0.31466151977440826, 0.0375787308418054, -0.18070090754406043, -0.16970698455460714, -0.12091037939751038, -0.020083143789735105, -0.1582396001106611, -0.20652877818793058, 0.07820566668157915, -0.07121740257436479, 0.06360932214496036, -0.010791375267284888, -0.1512359649080921, 0.02689012936833832, 0.11857379525382486, 0.18219024261580435, 0.019421053498431488, 0.08930084073950571, -0.20154285305869524, -0.15710098705151015, 0.4379340703426688, -0.03970969755512973, -0.17726624070632238, 0.15982990716239093, -0.13062694701538594, -0.2436494537525707, 0.11897064852355807, 0.10651751586529254, 0.06970087188744435, -0.12546582733867345, 0.20241368087590672, -0.1113104342819295, 0.10693529825786957, 0.07124873324560381, 0.030562523830061156, 0.22430863175368695, 0.1165652607774569, 0.02828701193923027, 0.07158671794631691, -0.006111287136769129, -0.09884669997349933, -0.34948940444047805, -0.1452148540324911, -0.18627373818135648, 0.0386889279966622, -0.08939757084671227, -0.15030171594116837, 0.43641720335775364, 0.17787519506937652, 0.14806599811547333, -0.017744621486161596, 0.2348143307155826, 0.09438926645520108, 0.13462223726135022, 0.03579888750661026, 0.23059345526551758, 0.15293815976905603, 0.06725318473763764, -0.27000786013107886, 0.022234189736385208, 0.13527673046553024] |
710.5347 | Gr\"obner bases of simplicial toric ideals | Bounds for the maximal degree of certain Gr\"obner bases of simplicial toric
ideals are given. These bounds are close to the bound stated in Eisenbud-Goto's
Conjecture on the Castelnuovo-Mumford regularity.
| math.AC | bounds for the maximal degree of certain grobner bases of simplicial toric ideals are given these bounds are close to the bound stated in eisenbudgotos conjecture on the castelnuovomumford regularity | [['bounds', 'for', 'the', 'maximal', 'degree', 'of', 'certain', 'grobner', 'bases', 'of', 'simplicial', 'toric', 'ideals', 'are', 'given', 'these', 'bounds', 'are', 'close', 'to', 'the', 'bound', 'stated', 'in', 'eisenbudgotos', 'conjecture', 'on', 'the', 'castelnuovomumford', 'regularity']] | [-0.21032491840165238, 0.05232106765796398, -0.013283721396121485, 0.12623730456006937, -0.06880986462507782, -0.1463421270700878, -0.04371315568428615, 0.23793003855851189, -0.3580736916126876, -0.2548261709382822, 0.1334973169803812, -0.24785243860317457, -0.06407341714306124, 0.23230821575070248, -0.2112844911692985, 0.10699597328644374, 0.061577405876897535, 0.090583812156371, -0.08135555067966724, -0.48866423437821455, 0.42845000866158256, 0.03149118145992016, 0.24567271451112524, 0.17760939671304718, 0.02009997125072726, -0.09814660503239982, 0.0027157481245953462, -0.07693314462386329, -0.3430025910252127, 0.2563534510032884, 0.34224672808215534, 0.18370484437086973, 0.15031996799697137, -0.4056722530774001, -0.007982050879569403, 0.24100286150672312, 0.09116399426270148, 0.056618296091669594, 0.05272806729270338, -0.211256532833494, 0.14013784231039986, -0.06242763785422571, -0.23314056211504444, -0.11210525504730899, -0.010779564718491045, 0.06350496144772604, -0.31286955534898003, -0.014881068680050045, 0.15138866717060065, 0.22014978039881278, -0.0428875270781332, -0.18029606710027518, -0.13159847200109526, -0.025410492864341057, -0.08746196727814345, -0.02276355354115367, 0.018341125342352636, -0.15287474343745872, -0.20313640812347675, 0.2703735513034566, 0.016146634978338563, -0.2801175122631007, 0.09383934235264516, -0.22844889278298822, -0.13633163392158418, 0.10911473055402267, 0.07207737795623212, 0.16704071595751005, 0.03824004029919361, 0.20028038586265054, -0.2200312678670061, -0.03486193074234601, 0.23008822755695418, 0.14548391008203657, 0.10326399127471036, 0.023137429986020613, 0.15647954286622076, 0.14636932441900516, 0.06190656726890854, -0.05349118275375202, -0.36921297167909556, -0.13296353103440448, -0.22267645676138587, 0.13788129363594384, -0.2580288571048656, -0.1785002922366277, 0.3632983249323121, 0.10899435613175919, 0.1302886000264372, 0.1963678530321039, 0.2002739266909916, 0.06452974294922476, -0.0003429055535073938, 0.14909915821947928, 0.19061870988586854, 0.2747706612250928, -0.11475862965694275, -0.06627654605384531, 0.14086957529572577, 0.3161240941684308] |
710.5348 | Towards Grid Monitoring and deployment in Jade, using ProActive | This document describes our current effort to gridify Jade, a java-based
environment for the autonomic management of clustered J2EE application servers,
developed in the INRIA SARDES research team. Towards this objective, we use the
java ProActive grid technology. We first present some of the challenges to turn
such an autonomic management system initially dedicated to distributed
applications running on clusters of machines, into one that can provide
self-management capabilities to large-scale systems, i.e. deployed on grid
infrastructures. This leads us to a brief state of the art on grid monitoring
systems. Then, we recall the architecture of Jade, and consequently propose to
reorganize it in a potentially more scalable way. Practical experiments pertain
to the use of the grid deployment feature offered by ProActive to easily
conduct the deployment of the Jade system or its revised version on any sort of
grid.
| cs.DC | this document describes our current effort to gridify jade a javabased environment for the autonomic management of clustered j2ee application servers developed in the inria sardes research team towards this objective we use the java proactive grid technology we first present some of the challenges to turn such an autonomic management system initially dedicated to distributed applications running on clusters of machines into one that can provide selfmanagement capabilities to largescale systems ie deployed on grid infrastructures this leads us to a brief state of the art on grid monitoring systems then we recall the architecture of jade and consequently propose to reorganize it in a potentially more scalable way practical experiments pertain to the use of the grid deployment feature offered by proactive to easily conduct the deployment of the jade system or its revised version on any sort of grid | [['this', 'document', 'describes', 'our', 'current', 'effort', 'to', 'gridify', 'jade', 'a', 'javabased', 'environment', 'for', 'the', 'autonomic', 'management', 'of', 'clustered', 'j2ee', 'application', 'servers', 'developed', 'in', 'the', 'inria', 'sardes', 'research', 'team', 'towards', 'this', 'objective', 'we', 'use', 'the', 'java', 'proactive', 'grid', 'technology', 'we', 'first', 'present', 'some', 'of', 'the', 'challenges', 'to', 'turn', 'such', 'an', 'autonomic', 'management', 'system', 'initially', 'dedicated', 'to', 'distributed', 'applications', 'running', 'on', 'clusters', 'of', 'machines', 'into', 'one', 'that', 'can', 'provide', 'selfmanagement', 'capabilities', 'to', 'largescale', 'systems', 'ie', 'deployed', 'on', 'grid', 'infrastructures', 'this', 'leads', 'us', 'to', 'a', 'brief', 'state', 'of', 'the', 'art', 'on', 'grid', 'monitoring', 'systems', 'then', 'we', 'recall', 'the', 'architecture', 'of', 'jade', 'and', 'consequently', 'propose', 'to', 'reorganize', 'it', 'in', 'a', 'potentially', 'more', 'scalable', 'way', 'practical', 'experiments', 'pertain', 'to', 'the', 'use', 'of', 'the', 'grid', 'deployment', 'feature', 'offered', 'by', 'proactive', 'to', 'easily', 'conduct', 'the', 'deployment', 'of', 'the', 'jade', 'system', 'or', 'its', 'revised', 'version', 'on', 'any', 'sort', 'of', 'grid']] | [-0.15483315427637925, -0.01632324528753608, -0.08141198131654943, -0.013085591809691063, -0.10396359849421839, -0.15231195034991418, 0.09656487470076952, 0.3881465172594679, -0.24410523309571935, -0.322821353994576, 0.13949810321542566, -0.23823193356885375, -0.10229046581870145, 0.20319972472207154, -0.13032028725840844, 0.06506465092326315, 0.11293445325323513, -0.003377749379848995, 0.005169176019262522, -0.2848863223434559, 0.29212200315586023, 0.11251540607440152, 0.329624512646946, 0.04616219042135136, 0.0610278166846131, 0.00012696303560265473, -0.04176314327799316, -0.015145288229853447, -0.0592896053453712, 0.19093866261994533, 0.311651493246401, 0.24335027942267645, 0.32682247457643304, -0.47587041788335355, -0.16802908056415616, 0.05848918981584055, 0.1424781601239894, 0.06139995125122368, -0.038799419051688995, -0.3226842029153236, 0.1032119200643917, -0.26789227125700565, -0.1341402692653771, -0.11493542120193265, -0.025196879443579488, 0.006661371241456696, -0.2313846595186208, -0.08033217778263081, 0.005475805719782199, 0.05059998871625534, -0.035406957071973014, -0.10054426575578483, 0.04148358693512689, 0.1692971989761905, -0.03856763688049146, 0.02763943010941148, 0.1726403573827286, -0.1019496424847083, -0.15282454977942897, 0.39705628564115614, 0.013102235729664763, -0.1687095291629833, 0.21403156589533734, -0.01399101823501821, -0.2005442317309124, 0.04711341128152396, 0.2776321612431535, 0.07195640469102987, -0.19129222958830983, 0.015292443515915823, 0.03873166619533939, 0.1858016771131328, -0.027778784224730253, -0.009556989089053657, 0.20972250054889757, 0.2784186625587089, 0.1437125154837434, 0.16925173252155737, -0.04089302149285296, -0.11633530467183197, -0.2306809225219435, -0.1698194438558338, -0.1481427031619075, 0.001506137744789677, -0.034924836333604097, -0.15963434083387257, 0.4020271946077368, 0.2505448483861983, 0.10948893301787653, 0.05513581643213651, 0.38924301198816724, 0.024773662195574225, 0.10639948409350057, 0.13050887168252043, 0.1214431763547639, -0.0056099986830564115, 0.2344030985633643, -0.1901675584559728, 0.046347395716501136, 0.004786989493004512] |
710.5349 | A scale-based approach to finding effective dimensionality in manifold
learning | The discovering of low-dimensional manifolds in high-dimensional data is one
of the main goals in manifold learning. We propose a new approach to identify
the effective dimension (intrinsic dimension) of low-dimensional manifolds. The
scale space viewpoint is the key to our approach enabling us to meet the
challenge of noisy data. Our approach finds the effective dimensionality of the
data over all scale without any prior knowledge. It has better performance
compared with other methods especially in the presence of relatively large
noise and is computationally efficient.
| math.ST stat.TH | the discovering of lowdimensional manifolds in highdimensional data is one of the main goals in manifold learning we propose a new approach to identify the effective dimension intrinsic dimension of lowdimensional manifolds the scale space viewpoint is the key to our approach enabling us to meet the challenge of noisy data our approach finds the effective dimensionality of the data over all scale without any prior knowledge it has better performance compared with other methods especially in the presence of relatively large noise and is computationally efficient | [['the', 'discovering', 'of', 'lowdimensional', 'manifolds', 'in', 'highdimensional', 'data', 'is', 'one', 'of', 'the', 'main', 'goals', 'in', 'manifold', 'learning', 'we', 'propose', 'a', 'new', 'approach', 'to', 'identify', 'the', 'effective', 'dimension', 'intrinsic', 'dimension', 'of', 'lowdimensional', 'manifolds', 'the', 'scale', 'space', 'viewpoint', 'is', 'the', 'key', 'to', 'our', 'approach', 'enabling', 'us', 'to', 'meet', 'the', 'challenge', 'of', 'noisy', 'data', 'our', 'approach', 'finds', 'the', 'effective', 'dimensionality', 'of', 'the', 'data', 'over', 'all', 'scale', 'without', 'any', 'prior', 'knowledge', 'it', 'has', 'better', 'performance', 'compared', 'with', 'other', 'methods', 'especially', 'in', 'the', 'presence', 'of', 'relatively', 'large', 'noise', 'and', 'is', 'computationally', 'efficient']] | [-0.08359350351852247, 0.012865414329130074, -0.07825660330896404, 0.07608454824751779, -0.1250270536121238, -0.14674324604372183, 0.015614926258380386, 0.3611909459377157, -0.26545329728088846, -0.3547333894008449, 0.1067914153869403, -0.2434136406732616, -0.15851538457062053, 0.22175618856824164, -0.1259115856975831, 0.08377773488133118, 0.07941471100731314, 0.04921159325916877, -0.07003770555615768, -0.29051822192977644, 0.3967866217824577, 0.0597381515792389, 0.3350720980108298, -0.006108926314774944, 0.12113875825487977, -0.01696751800355041, -0.04449229416084187, -0.014413847368887636, -0.061403297744263174, 0.23862765625590224, 0.32161781936883926, 0.14878778357122993, 0.3104208517477088, -0.3695746623193738, -0.24243355309055453, 0.13234064181538663, 0.11936501350425098, 0.15014123999053378, -0.009455257009757662, -0.2852206714879507, 0.07779151526140585, -0.08939301674307763, -0.11893944288155696, -0.18690085067981105, -0.023132882728616053, -0.08511023436560584, -0.2739590878073854, 0.04784099591946786, 0.07720310082552077, 0.027562313375930333, -0.04376155310899191, -0.11153748735849714, 0.034000240271675516, 0.17610841104493144, 0.05833466505449822, 0.062394856791086924, 0.09624345584012482, -0.12052951076860144, -0.10956934217534874, 0.39111485474625196, -0.0497134982811651, -0.22423073874476054, 0.24145458952320376, -0.1112931570969522, -0.14968776104479342, 0.16585633910164752, 0.2117962253055182, 0.11919064638900688, -0.13766581885216908, 0.10905447685167771, -0.00010363623799606301, 0.16614802023155037, -0.039068045116018975, 0.04704068181501038, 0.12631340486789658, 0.29189822910589047, 0.1197411871097725, 0.09393238791213745, -0.14028749424407536, -0.08656828137029005, -0.22781610400041288, -0.13960235396228815, -0.22031864637492932, 0.027218303814444733, -0.15792387939608876, -0.13108007617337608, 0.3787392949974486, 0.21986525960737605, 0.2403763497633667, 0.04779976920021334, 0.3557164607376888, 0.02785163776595788, 0.10226507587679501, 0.10025527518531628, 0.19165492976277038, 0.07072568440745616, 0.07260685190745768, -0.17435013977596645, 0.05385166044807297, 0.010072204921308947] |
710.535 | SLOCC Convertibility between Two-Qubit States | In this paper we classify the four-qubit states that commute with
$U\otimes{U}\otimes{V}\otimes{V}$, where $U$ and $V$ are arbitrary members of
the Pauli group. We characterize the set of separable states for this class, in
terms of a finite number of entanglement witnesses. Equivalently, we
characterize the two-qubit, Bell-diagonal-preserving, completely positive maps
that are separable. These separable completely positive maps correspond to
protocols that can be implemented with stochastic local operations assisted by
classical communication (SLOCC). This allows us to derive a complete set of
SLOCC monotones for Bell-diagonal states, which, in turn, provides the
necessary and sufficient conditions for converting one two-qubit state to
another by SLOCC.
| quant-ph | in this paper we classify the fourqubit states that commute with uotimesuotimesvotimesv where u and v are arbitrary members of the pauli group we characterize the set of separable states for this class in terms of a finite number of entanglement witnesses equivalently we characterize the twoqubit belldiagonalpreserving completely positive maps that are separable these separable completely positive maps correspond to protocols that can be implemented with stochastic local operations assisted by classical communication slocc this allows us to derive a complete set of slocc monotones for belldiagonal states which in turn provides the necessary and sufficient conditions for converting one twoqubit state to another by slocc | [['in', 'this', 'paper', 'we', 'classify', 'the', 'fourqubit', 'states', 'that', 'commute', 'with', 'uotimesuotimesvotimesv', 'where', 'u', 'and', 'v', 'are', 'arbitrary', 'members', 'of', 'the', 'pauli', 'group', 'we', 'characterize', 'the', 'set', 'of', 'separable', 'states', 'for', 'this', 'class', 'in', 'terms', 'of', 'a', 'finite', 'number', 'of', 'entanglement', 'witnesses', 'equivalently', 'we', 'characterize', 'the', 'twoqubit', 'belldiagonalpreserving', 'completely', 'positive', 'maps', 'that', 'are', 'separable', 'these', 'separable', 'completely', 'positive', 'maps', 'correspond', 'to', 'protocols', 'that', 'can', 'be', 'implemented', 'with', 'stochastic', 'local', 'operations', 'assisted', 'by', 'classical', 'communication', 'slocc', 'this', 'allows', 'us', 'to', 'derive', 'a', 'complete', 'set', 'of', 'slocc', 'monotones', 'for', 'belldiagonal', 'states', 'which', 'in', 'turn', 'provides', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'converting', 'one', 'twoqubit', 'state', 'to', 'another', 'by', 'slocc']] | [-0.15852762135189205, 0.17109433509232033, -0.04928560826395239, 0.045948054216846466, 0.017281557661148587, -0.23932034896597976, 0.08441690359419833, 0.3375765096218813, -0.28377628301359004, -0.23298038063304766, 0.0639187678251238, -0.21449048472582252, -0.10859128217700692, 0.1904132795143163, -0.08264234859851144, 0.06688356896241505, 0.053470943273887746, 0.0342484375461936, -0.12184553697089931, -0.31295444308336645, 0.3918427667447499, -0.06593356553154688, 0.2128591682540164, 0.004173456468353314, 0.11266690211459285, 0.015875058328466755, 0.026577890839516408, 0.028895493330700055, -0.11134848151726016, 0.1187492226876895, 0.3313934400855076, 0.211540001191731, 0.23151285580935932, -0.40164202825121936, -0.14209422624359527, 0.2331052275019742, 0.07951922992305342, 0.1547698598122224, 0.039014477768380726, -0.3509211053983087, 0.06994404737793264, -0.20109097173969662, -0.09163148432437862, -0.1795583248848007, 0.0430763977613034, -0.026976846819300026, -0.2864870470371984, 0.08114131004771306, 0.07299508800885329, 0.029175908646235864, -0.03728683284938424, -0.033988849277652444, -0.030751096457242964, 0.15623169311189225, -0.1536490931042603, -0.020559918558934614, 0.09635558307525657, -0.056350224263345204, -0.14867600834972802, 0.31792763206398206, -0.032891842714023026, -0.24914858521494482, 0.20078550401986356, -0.12252874570410877, -0.13750329463787023, 0.08044372339112063, 0.1289730543004615, 0.10542588095579829, -0.18634037732900607, 0.0995791821507737, -0.10401972905688342, 0.13503653009732564, 0.05362632966467312, 0.14933419816107268, 0.1114027786112967, -0.023278588717359872, 0.19283815851168973, 0.2519492292588222, 0.019113652124291374, -0.08358046386745714, -0.3637391771056822, -0.2072303352256616, -0.17796965974072615, 0.10484479233799945, -0.033198436673098644, -0.11232487586592989, 0.44057353160211016, 0.07732503400572265, 0.1535349190944717, 0.07426375060320078, 0.19644771441817283, 0.08944480973489893, 0.04374958811593907, 0.12066955662199429, 0.17727818580876503, 0.19902362314806807, -0.019913245515809173, -0.22057950413741526, 0.05073826944876817, 0.08134448732737275] |
710.5351 | Electronic structure and magnetic properties of pyroxenes
(Li,Na)TM(Si,Ge)2O6: novel low-dimensional magnets with 90 bonds | The results of the LSDA+U calculations for pyroxenes with diverse magnetic
properties (Li,Na)TM(Si,Ge)$_2$O$_6$, where TM is the transition metal ion
(Ti,V,Cr,Mn,Fe), are presented. We show that the anisotropic orbital ordering
results in the spin-gap formation in NaTiSi$_2$O$_6$. The detailed analysis of
different contributions to the intrachain exchange interactions for pyroxenes
is performed both analytically using perturbation theory and basing on the
results of the band structure calculations. The antiferromagnetic
$t_{2g}-t_{2g}$ exchange is found to decrease gradually in going from Ti to Fe.
It turns out to be nearly compensated by ferromagnetic interaction between
half-filled $t_{2g}$ and empty $e_g$ orbitals in Cr-based pyroxenes. The
fine-tuning of the interaction parameters by the crystal structure results in
the ferromagnetism for NaCrGe$_2$O$_6$. Further increase of the total number of
electrons and occupation of $e_g$ sub-shell makes the $t_{2g}-e_g$ contribution
and total exchange interaction antiferromagnetic for Mn- and Fe-based
pyroxenes. Strong oxygen polarization was found in Fe-based pyroxenes. It is
shown that this effect leads to a considerable reduction of antiferromagnetic
intrachain exchange. The obtained results may serve as a basis for the analysis
of diverse magnetic properties of pyroxenes, including those with recently
discovered multiferroic behavior.
| cond-mat.str-el cond-mat.mtrl-sci | the results of the lsdau calculations for pyroxenes with diverse magnetic properties linatmsige_2o_6 where tm is the transition metal ion tivcrmnfe are presented we show that the anisotropic orbital ordering results in the spingap formation in natisi_2o_6 the detailed analysis of different contributions to the intrachain exchange interactions for pyroxenes is performed both analytically using perturbation theory and basing on the results of the band structure calculations the antiferromagnetic t_2gt_2g exchange is found to decrease gradually in going from ti to fe it turns out to be nearly compensated by ferromagnetic interaction between halffilled t_2g and empty e_g orbitals in crbased pyroxenes the finetuning of the interaction parameters by the crystal structure results in the ferromagnetism for nacrge_2o_6 further increase of the total number of electrons and occupation of e_g subshell makes the t_2ge_g contribution and total exchange interaction antiferromagnetic for mn and febased pyroxenes strong oxygen polarization was found in febased pyroxenes it is shown that this effect leads to a considerable reduction of antiferromagnetic intrachain exchange the obtained results may serve as a basis for the analysis of diverse magnetic properties of pyroxenes including those with recently discovered multiferroic behavior | [['the', 'results', 'of', 'the', 'lsdau', 'calculations', 'for', 'pyroxenes', 'with', 'diverse', 'magnetic', 'properties', 'linatmsige_2o_6', 'where', 'tm', 'is', 'the', 'transition', 'metal', 'ion', 'tivcrmnfe', 'are', 'presented', 'we', 'show', 'that', 'the', 'anisotropic', 'orbital', 'ordering', 'results', 'in', 'the', 'spingap', 'formation', 'in', 'natisi_2o_6', 'the', 'detailed', 'analysis', 'of', 'different', 'contributions', 'to', 'the', 'intrachain', 'exchange', 'interactions', 'for', 'pyroxenes', 'is', 'performed', 'both', 'analytically', 'using', 'perturbation', 'theory', 'and', 'basing', 'on', 'the', 'results', 'of', 'the', 'band', 'structure', 'calculations', 'the', 'antiferromagnetic', 't_2gt_2g', 'exchange', 'is', 'found', 'to', 'decrease', 'gradually', 'in', 'going', 'from', 'ti', 'to', 'fe', 'it', 'turns', 'out', 'to', 'be', 'nearly', 'compensated', 'by', 'ferromagnetic', 'interaction', 'between', 'halffilled', 't_2g', 'and', 'empty', 'e_g', 'orbitals', 'in', 'crbased', 'pyroxenes', 'the', 'finetuning', 'of', 'the', 'interaction', 'parameters', 'by', 'the', 'crystal', 'structure', 'results', 'in', 'the', 'ferromagnetism', 'for', 'nacrge_2o_6', 'further', 'increase', 'of', 'the', 'total', 'number', 'of', 'electrons', 'and', 'occupation', 'of', 'e_g', 'subshell', 'makes', 'the', 't_2ge_g', 'contribution', 'and', 'total', 'exchange', 'interaction', 'antiferromagnetic', 'for', 'mn', 'and', 'febased', 'pyroxenes', 'strong', 'oxygen', 'polarization', 'was', 'found', 'in', 'febased', 'pyroxenes', 'it', 'is', 'shown', 'that', 'this', 'effect', 'leads', 'to', 'a', 'considerable', 'reduction', 'of', 'antiferromagnetic', 'intrachain', 'exchange', 'the', 'obtained', 'results', 'may', 'serve', 'as', 'a', 'basis', 'for', 'the', 'analysis', 'of', 'diverse', 'magnetic', 'properties', 'of', 'pyroxenes', 'including', 'those', 'with', 'recently', 'discovered', 'multiferroic', 'behavior']] | [-0.149098097214827, 0.18209811405308465, 0.005450646312191508, 0.06828115501334554, -0.03997660335955438, -0.09967596486131562, 0.08101468845865036, 0.38179017765883433, -0.24408010097141278, -0.31538451024073555, -0.0511461742732555, -0.37344144484055464, -0.10989332466108843, 0.14013790078907015, 0.11511001142702917, -0.06729518767555263, 0.004011128380141677, -0.04492675834038156, -0.1180854509857067, -0.23427382437698047, 0.26970025140698006, 0.056616520474446895, 0.28505524441084645, 0.11848144180654112, -0.015814754197948633, 0.030986815582009705, 0.10269175616880641, 0.03248454893423997, -0.14130262421864206, 0.09501403417101408, 0.26552537354074685, 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710.5352 | Hybrid States from Constituent Glue Model | The hybrid meson is one of the most interesting new hadron specie beyond the
naive quark model. It acquire a great attention both from the theoretical and
experimental efforts. Many good candidates have been claimed to be observed,
but there is no absolute confirmation about existence of hybrid mesons. In the
present work we propose new calculations of the masses and decay widths of the
hybrid mesons in the context of constituent gluon model.
| hep-ph | the hybrid meson is one of the most interesting new hadron specie beyond the naive quark model it acquire a great attention both from the theoretical and experimental efforts many good candidates have been claimed to be observed but there is no absolute confirmation about existence of hybrid mesons in the present work we propose new calculations of the masses and decay widths of the hybrid mesons in the context of constituent gluon model | [['the', 'hybrid', 'meson', 'is', 'one', 'of', 'the', 'most', 'interesting', 'new', 'hadron', 'specie', 'beyond', 'the', 'naive', 'quark', 'model', 'it', 'acquire', 'a', 'great', 'attention', 'both', 'from', 'the', 'theoretical', 'and', 'experimental', 'efforts', 'many', 'good', 'candidates', 'have', 'been', 'claimed', 'to', 'be', 'observed', 'but', 'there', 'is', 'no', 'absolute', 'confirmation', 'about', 'existence', 'of', 'hybrid', 'mesons', 'in', 'the', 'present', 'work', 'we', 'propose', 'new', 'calculations', 'of', 'the', 'masses', 'and', 'decay', 'widths', 'of', 'the', 'hybrid', 'mesons', 'in', 'the', 'context', 'of', 'constituent', 'gluon', 'model']] | [-0.04453243903274572, 0.1533006073944774, -0.11932425390979326, 0.11257885663252563, -0.0942191987524967, -0.13523916715781228, 0.06736052896814874, 0.3648046965433939, -0.15485532225795542, -0.2845768839926333, 0.0016293056998276025, -0.30583505259474386, -0.07730931043624878, 0.14047670484885472, 0.021093954722321517, 0.10806964533686689, 0.0911130697176968, 0.05073799819031076, -0.035525600287459186, -0.20266888182408907, 0.2723934090431981, 0.006956417456495802, 0.2414555714616703, 0.13501595384189607, 0.03832991960508799, -0.03368152565373158, -0.029136933877158003, -0.03830553618939342, -0.10680993383347585, 0.1315027889669747, 0.19925848576727928, 0.10782070209058253, 0.24849045360335023, -0.3780504118248418, -0.205434812468829, 0.13809271736976667, 0.15195540187100098, 0.15149232584076958, -0.12761895534758633, -0.2666399461292737, 0.12800540415117065, -0.21584742145008734, -0.12961479653981892, -0.117752896898703, 0.0008227294059218588, -0.04715359719419802, -0.2475554352953426, 0.05209623454012782, -0.005937431636895682, 0.025888182898425666, -0.04320170216551806, -0.24841000398973356, -0.014637847103782603, 0.08243450251835827, 0.1392800995059047, 0.06843516350144872, 0.07776823033880745, -0.16968596120037743, -0.15209550732696378, 0.4301117424022507, -0.05036540437691115, -0.13610234956030506, 0.20356901448748604, -0.14930204361224095, -0.16620262485073023, 0.12908334312708797, 0.17930663825088256, 0.08671325433219003, -0.1960815159931175, 0.07231281854281504, -0.10262243705172394, 0.18284791881671628, 0.0338052679985963, 0.13101369625655934, 0.26168003139664997, 0.24353113674835578, -0.06660352435003891, 0.05823538068373612, -0.06659635360906455, -0.1258878294579886, -0.32645503434075696, -0.14422507172551108, -0.11959490297060157, -0.001973742535778296, -0.029894524184291605, -0.11225249196679608, 0.41747272978190686, 0.1694712962174939, 0.23303487446045856, -0.020598986617138458, 0.31359304248581865, 0.084148325774869, 0.11169917860093552, 0.06366635825031915, 0.35666501600093936, 0.18863000041125594, 0.12007229050268999, -0.21839819838783728, 0.05489687480007273, 0.015486789923916394] |
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