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710.4353 | Reduction to the Simplest - The Complexity of Minimalistic Heteropolymer
Models | Simple coarse-grained hydrophobic-polar models for heteropolymers as the
lattice HP and the off-lattice AB model allow a general classification of
characteristic behaviors for hydrophobic-core based tertiary folding. The
strongly reduced computational efforts enable one to reveal systematically the
thermodynamic properties of comparatively long sequences in a wide temperature
range of conformational activity. Based on a suitable cooperativity parameter,
characteristic folding channels and free-energy landscapes, which have strong
similarities with realistic folding paths, can be analysed.
| cond-mat.soft physics.bio-ph | simple coarsegrained hydrophobicpolar models for heteropolymers as the lattice hp and the offlattice ab model allow a general classification of characteristic behaviors for hydrophobiccore based tertiary folding the strongly reduced computational efforts enable one to reveal systematically the thermodynamic properties of comparatively long sequences in a wide temperature range of conformational activity based on a suitable cooperativity parameter characteristic folding channels and freeenergy landscapes which have strong similarities with realistic folding paths can be analysed | [['simple', 'coarsegrained', 'hydrophobicpolar', 'models', 'for', 'heteropolymers', 'as', 'the', 'lattice', 'hp', 'and', 'the', 'offlattice', 'ab', 'model', 'allow', 'a', 'general', 'classification', 'of', 'characteristic', 'behaviors', 'for', 'hydrophobiccore', 'based', 'tertiary', 'folding', 'the', 'strongly', 'reduced', 'computational', 'efforts', 'enable', 'one', 'to', 'reveal', 'systematically', 'the', 'thermodynamic', 'properties', 'of', 'comparatively', 'long', 'sequences', 'in', 'a', 'wide', 'temperature', 'range', 'of', 'conformational', 'activity', 'based', 'on', 'a', 'suitable', 'cooperativity', 'parameter', 'characteristic', 'folding', 'channels', 'and', 'freeenergy', 'landscapes', 'which', 'have', 'strong', 'similarities', 'with', 'realistic', 'folding', 'paths', 'can', 'be', 'analysed']] | [-0.09716311780534484, 0.16173207323142402, -0.12173040855575253, 0.10673591276832126, -0.04329865816131083, -0.17889161217907393, 0.06666907692655318, 0.4238936921732651, -0.30012599869656403, -0.2792698635493179, 0.002921135232444047, -0.18292238254955895, -0.18360086342294676, 0.1824583994331644, 0.02715395816375275, 0.0639207633589772, 0.09511533159309545, 0.003170289401267026, -0.02935909862296555, -0.15926700341387423, 0.214410819385513, 0.08215914525066477, 0.2643281893703986, 0.06203426016695999, 0.052336719868755016, 0.005835516227258218, 0.06531589850783348, 0.05513918091467506, -0.24389109786952268, 0.11721691569766483, 0.24074466344240678, 0.040839434488097556, 0.22596285529938098, -0.42526420185694824, -0.33299285883234964, 0.10192627470776741, 0.14212063526281635, 0.12442837900173775, -0.017148562991752516, -0.22494945006847783, 0.06272109424242296, -0.1348693830187659, -0.060027464239455354, -0.14852147044714642, 0.036485828509604606, 0.11982287910792071, -0.22669407726818855, 0.08170015737257041, -0.00632487190887332, 0.16485681768028518, -0.08582167626308226, -0.12859982671058812, -0.027468609648781853, 0.12451754757706579, 0.0021117825322230725, 0.00820671783514774, 0.19131841470890149, -0.09736043467765322, -0.11160057502471514, 0.40730050734772877, -0.019661590158058382, -0.19410757401114884, 0.27793384189056736, -0.07432539793788581, -0.1871070149480491, 0.21536073032640726, 0.12731334977355357, 0.11290170588983676, -0.182140182691148, 0.06454691838479375, 0.052781146548285675, 0.20370348109989553, 0.011874964196436308, 0.03245880819835096, 0.21549582220708347, 0.24169051545873485, -0.007254888136820817, 0.1302255139972486, -0.08119097481343292, -0.1824713898287784, -0.20042054208524124, -0.12491835919334679, -0.15017529058496695, 0.045630231499671936, -0.12518132564798942, -0.21074144968234404, 0.42181051224847704, 0.10252849964072576, 0.1914130965298092, 0.1048824501686377, 0.1805895433408787, 0.019722419688666892, 0.08506990066333045, -0.023144297050060453, 0.1605400166449112, 0.106753555063561, 0.059964995925641945, -0.2634720581684362, 0.07329702185076736, 0.048717572227925866] |
710.4354 | Studying the galactic outflow in NGC 1569 | We present deep WIYN H-alpha imaging of the dwarf irregular starburst galaxy
NGC 1569, together with WIYN SparsePak spatially-resolved optical spectroscopy
of the galactic outflow. This leads on from our previous detailed analyses of
the state of the ISM in the central regions of this galaxy. Our deep imaging
reveals previously undetected ionized filaments in the outer halo. Through
combining these results with our spectroscopy we have been able to re-define
the spatial extent of the previously catalogued superbubbles, and derive
estimates for their expansion velocities, which we find to be in the range
50-100 km/s. The implied dynamical ages of <25 Myr are consistent with the
recent star- and cluster-formation histories of the galaxy. Detailed
decomposition of the multi-component H-alpha line has shown that within a
distinct region ~700x500 pc in size, roughly centred on the bright super star
cluster A, the profile is composed of a bright, narrow (FWHM <= 70 km/s)
feature with an underlying, broad component (FWHM ~ 150 km/s). Applying the
conclusions found in our previous work regarding the mechanism through which
the broad component is produced, we associate the faint, broad emission with
the interaction of the hot, fast-flowing winds from the young star clusters
with cool clumps of ISM material. This interaction generates turbulent mixing
layers on the surface of the clouds and the evaporation and/or ablation of
material into the outflow. Under this interpretation, the extent of the broad
component region may indicate an important transition point in the outflow,
where ordered expansion begins to dominate over turbulent motion. In this
context, we present a multi-wavelength discussion of the evolutionary state of
the outflow.
| astro-ph | we present deep wiyn halpha imaging of the dwarf irregular starburst galaxy ngc 1569 together with wiyn sparsepak spatiallyresolved optical spectroscopy of the galactic outflow this leads on from our previous detailed analyses of the state of the ism in the central regions of this galaxy our deep imaging reveals previously undetected ionized filaments in the outer halo through combining these results with our spectroscopy we have been able to redefine the spatial extent of the previously catalogued superbubbles and derive estimates for their expansion velocities which we find to be in the range 50100 kms the implied dynamical ages of 25 myr are consistent with the recent star and clusterformation histories of the galaxy detailed decomposition of the multicomponent halpha line has shown that within a distinct region 700x500 pc in size roughly centred on the bright super star cluster a the profile is composed of a bright narrow fwhm 70 kms feature with an underlying broad component fwhm 150 kms applying the conclusions found in our previous work regarding the mechanism through which the broad component is produced we associate the faint broad emission with the interaction of the hot fastflowing winds from the young star clusters with cool clumps of ism material this interaction generates turbulent mixing layers on the surface of the clouds and the evaporation andor ablation of material into the outflow under this interpretation the extent of the broad component region may indicate an important transition point in the outflow where ordered expansion begins to dominate over turbulent motion in this context we present a multiwavelength discussion of the evolutionary state of the outflow | [['we', 'present', 'deep', 'wiyn', 'halpha', 'imaging', 'of', 'the', 'dwarf', 'irregular', 'starburst', 'galaxy', 'ngc', '1569', 'together', 'with', 'wiyn', 'sparsepak', 'spatiallyresolved', 'optical', 'spectroscopy', 'of', 'the', 'galactic', 'outflow', 'this', 'leads', 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710.4355 | Adsorption Phenomena at Organic-Inorganic Interfaces | The qualitative solvent- and temperature-dependent conformational behavior of
a peptide in the proximity of solid substrates with different adsorption
properties is investigated by means of a simple lattice model. The resulting
pseudophase diagrams exhibit a complex structure, which can be understood by
analysing the minima of the free-energy landscape in dependence of appropriate
system parameters.
| cond-mat.soft physics.bio-ph | the qualitative solvent and temperaturedependent conformational behavior of a peptide in the proximity of solid substrates with different adsorption properties is investigated by means of a simple lattice model the resulting pseudophase diagrams exhibit a complex structure which can be understood by analysing the minima of the freeenergy landscape in dependence of appropriate system parameters | [['the', 'qualitative', 'solvent', 'and', 'temperaturedependent', 'conformational', 'behavior', 'of', 'a', 'peptide', 'in', 'the', 'proximity', 'of', 'solid', 'substrates', 'with', 'different', 'adsorption', 'properties', 'is', 'investigated', 'by', 'means', 'of', 'a', 'simple', 'lattice', 'model', 'the', 'resulting', 'pseudophase', 'diagrams', 'exhibit', 'a', 'complex', 'structure', 'which', 'can', 'be', 'understood', 'by', 'analysing', 'the', 'minima', 'of', 'the', 'freeenergy', 'landscape', 'in', 'dependence', 'of', 'appropriate', 'system', 'parameters']] | [-0.13173458354219542, 0.17533041956749829, -0.15230148410932584, 0.06606249927162108, -0.007453110102902759, -0.11957365840842778, 0.09576971753585067, 0.41081577546217224, -0.2807542131875049, -0.3008960032327609, 0.0037313651547513224, -0.2332988205281171, -0.20658230591904034, 0.13550715792225673, 0.02302775682712143, 0.02741636736318469, 0.03664977525106885, -0.043100977295332334, -0.08479211758822203, -0.1709900830068033, 0.26026135742325673, 0.05975083223628727, 0.27294305478307335, 0.08644453913650729, 0.05483104576441375, -0.00912133877334947, 0.087753227412362, 0.10161826519126242, -0.21181312990798193, 0.13789675644683566, 0.21648705692284487, -0.016997749663212082, 0.17573771596547555, -0.43093759448013524, -0.28004184074022553, 0.03699557235972448, 0.12213207391852682, 0.10646608100823042, -0.025783557529476555, -0.25268156023865396, 0.03654177221046253, -0.11443319959058003, -0.1187626168766821, -0.12050663948228413, -0.027064096622846343, 0.10108582366850566, -0.1977074348589998, 0.10642542510547422, 0.014829649380408228, 0.16907467655837535, -0.0920872096141631, -0.09379020388111134, -0.10299955686046318, 0.13358004817696797, 0.05871840984010222, -0.015623125645586036, 0.2249046400612728, -0.15386883772232315, -0.06998873706060377, 0.4039646760645238, -0.034668972508304495, -0.18620938353917815, 0.17397441659969362, -0.11442670767110857, -0.08603144982321696, 0.20719980383291842, 0.08627968457612124, 0.12812829667871647, -0.21872531610900875, 0.0996809615997005, 0.027680893437090244, 0.18690133802592754, 0.04681559028950605, -0.009460890801115469, 0.22295089450199157, 0.23269058584912933, -0.02035204028202729, 0.19997679836497725, -0.04025427955626087, -0.17449232715774665, -0.21998641853622922, -0.14781239806589755, -0.18546598760241811, 0.035054814908653496, -0.14163857914629097, -0.24103685643693262, 0.4235854629088532, 0.026333829129792072, 0.24416380281803537, -0.020506288418122992, 0.1976253832097758, 0.07532781474292279, 0.03348938219926574, -0.05908779524774714, 0.19425981474870985, 0.09298165490088815, 0.04556374946101145, -0.2997387135824697, 0.15399280318736353, 0.05943634821610017] |
710.4356 | Schemes for robust quantum computation with polar molecules: analysis of
experimental feasibility | We analyse recently proposed physical implementations of a quantum computer
based on polar molecules. A set of general requirements for a molecular system
is presented, which would provide an optimal combination of quantum gate times,
coherence times, number of operations, high gate accuracy and experimental
feasibility. We proceed with a detailed analysis of a scheme utilizing
switchable dipole-dipole interactions between polar molecules. Switchable
dipole-dipole interaction is an efficient tool for realization of two-qubit
quantum gates, necessary to construct a universal set of gates. We consider
three possible realizations of a phase gate using specific molecules, such as
CO, NF, alkali dimers and alkaline-earth monohalides. We suggest suitable
electronic states and ransitions and investigate requirements for the pulses
driving them. Finally, we analyse possible sources of decoherence.
| quant-ph | we analyse recently proposed physical implementations of a quantum computer based on polar molecules a set of general requirements for a molecular system is presented which would provide an optimal combination of quantum gate times coherence times number of operations high gate accuracy and experimental feasibility we proceed with a detailed analysis of a scheme utilizing switchable dipoledipole interactions between polar molecules switchable dipoledipole interaction is an efficient tool for realization of twoqubit quantum gates necessary to construct a universal set of gates we consider three possible realizations of a phase gate using specific molecules such as co nf alkali dimers and alkalineearth monohalides we suggest suitable electronic states and ransitions and investigate requirements for the pulses driving them finally we analyse possible sources of decoherence | [['we', 'analyse', 'recently', 'proposed', 'physical', 'implementations', 'of', 'a', 'quantum', 'computer', 'based', 'on', 'polar', 'molecules', 'a', 'set', 'of', 'general', 'requirements', 'for', 'a', 'molecular', 'system', 'is', 'presented', 'which', 'would', 'provide', 'an', 'optimal', 'combination', 'of', 'quantum', 'gate', 'times', 'coherence', 'times', 'number', 'of', 'operations', 'high', 'gate', 'accuracy', 'and', 'experimental', 'feasibility', 'we', 'proceed', 'with', 'a', 'detailed', 'analysis', 'of', 'a', 'scheme', 'utilizing', 'switchable', 'dipoledipole', 'interactions', 'between', 'polar', 'molecules', 'switchable', 'dipoledipole', 'interaction', 'is', 'an', 'efficient', 'tool', 'for', 'realization', 'of', 'twoqubit', 'quantum', 'gates', 'necessary', 'to', 'construct', 'a', 'universal', 'set', 'of', 'gates', 'we', 'consider', 'three', 'possible', 'realizations', 'of', 'a', 'phase', 'gate', 'using', 'specific', 'molecules', 'such', 'as', 'co', 'nf', 'alkali', 'dimers', 'and', 'alkalineearth', 'monohalides', 'we', 'suggest', 'suitable', 'electronic', 'states', 'and', 'ransitions', 'and', 'investigate', 'requirements', 'for', 'the', 'pulses', 'driving', 'them', 'finally', 'we', 'analyse', 'possible', 'sources', 'of', 'decoherence']] | [-0.20383284590626136, 0.13645213251025415, -0.00934429148817435, 0.03839799405820668, 0.006232477188110351, -0.21018506358936428, 0.12850031320378183, 0.444874427318573, -0.2080331279486418, -0.27768233931437136, 0.027086938709020614, -0.2154159882813692, -0.14468902663886546, 0.2326634619832039, 0.005948918079957366, 0.0891743165999651, 0.03340572872757912, -0.0619447984804865, -0.0890985636273399, -0.23912801270373166, 0.24149984854459763, 0.031312075202353296, 0.26089846654236315, 0.07329372537136078, 0.12492190254852176, -0.02657827358134091, 0.06768490727059544, -0.05107017820328474, -0.13127913081273437, 0.13338083623489366, 0.24050352580705658, 0.08728344425931572, 0.2050179863125086, -0.5015657565295696, -0.1625098071109969, 0.05345569463167339, 0.0921807301864028, 0.20723948150407523, -0.0834812857368961, -0.28797104085236785, 0.01591967488033697, -0.188291363067925, -0.10356887744367123, -0.1677421344127506, 0.05315062270313502, 0.03915978724509478, -0.29470243703201415, 0.007763098642230034, 0.0328029650086537, 0.1004285550788045, -0.007026025738567114, -0.0681379133835435, 0.04886860405281186, 0.09517714063031599, -0.1049253657842055, 0.009335965682286769, 0.19994470446556806, -0.10464536606147885, -0.17645647703111172, 0.38171178559958935, -0.041607972426805646, -0.14088826991617678, 0.20723876911588013, -0.05364540228992701, -0.11413821533508599, 0.06611539741535671, 0.15267369960807264, 0.1111217933371663, -0.14882478496432305, 0.052872928997501734, 0.012290240761823952, 0.22293562965281308, 0.056909957066178324, 0.1414021385074593, 0.212894087895751, 0.18036292658746242, 0.06866189224272966, 0.21067685061803787, -0.08513839484401979, -0.09309086767304689, -0.2900756980627775, -0.20770247216522694, -0.2073066051825881, 0.08315545040834695, -0.049202181487809867, -0.12769823079323397, 0.39493112984960316, 0.13228991608147045, 0.14641700683534145, -0.019880264206789434, 0.28949199794977903, 0.06397024064254947, 0.051780527777969834, 0.016660806637257337, 0.19467809635400773, 0.17011739010363816, 0.011313437366858125, -0.27548179414123297, 0.027805281612090768, 0.013385164804756641] |
710.4357 | Charm Quarks and the QCD Equation of State | We present a study of the effect of charm quarks on the QCD equation of state
using partially-quenched p4 charm quarks on a dynamically generated 2+1 flavor
background, at zero chemical potential. We show preliminary results for the
charm quark contribution to the energy density and pressure in the high
temperature region ($T_c < T < 4 T_c$) and compare it to the free-field
calculation. The charm quark mass is determined by measuring the charmonium
spectrum.
| hep-lat | we present a study of the effect of charm quarks on the qcd equation of state using partiallyquenched p4 charm quarks on a dynamically generated 21 flavor background at zero chemical potential we show preliminary results for the charm quark contribution to the energy density and pressure in the high temperature region t_c t 4 t_c and compare it to the freefield calculation the charm quark mass is determined by measuring the charmonium spectrum | [['we', 'present', 'a', 'study', 'of', 'the', 'effect', 'of', 'charm', 'quarks', 'on', 'the', 'qcd', 'equation', 'of', 'state', 'using', 'partiallyquenched', 'p4', 'charm', 'quarks', 'on', 'a', 'dynamically', 'generated', '21', 'flavor', 'background', 'at', 'zero', 'chemical', 'potential', 'we', 'show', 'preliminary', 'results', 'for', 'the', 'charm', 'quark', 'contribution', 'to', 'the', 'energy', 'density', 'and', 'pressure', 'in', 'the', 'high', 'temperature', 'region', 't_c', 't', '4', 't_c', 'and', 'compare', 'it', 'to', 'the', 'freefield', 'calculation', 'the', 'charm', 'quark', 'mass', 'is', 'determined', 'by', 'measuring', 'the', 'charmonium', 'spectrum']] | [-0.05776152008439641, 0.2941258614945754, -0.11143467733888207, 0.10194079677505116, -0.012027222864531182, -0.06328470374432367, 0.1582455583313178, 0.3197849341794043, -0.17494256898125232, -0.2404070650604931, -0.023583936412202043, -0.35016275982599, 0.06225061916267952, 0.09129130037665065, 0.09024610573927734, 0.10670429244134072, 0.04811205217816137, 0.03922947466599982, -0.09962567050211332, -0.2392204570634341, 0.36791582307400733, -0.01581269729177694, 0.21094225753394485, 0.26571047150630606, 0.039085681814499, -0.039191517667416985, -0.04729786518382261, -0.06009207086990009, -0.11656270248538537, -0.023829819068211962, 0.1514418922078393, 0.0065051242331596645, 0.10481350064730725, -0.31231607033594233, -0.1887650145784121, 0.06567631403261141, 0.10675312184753853, 0.13265460184649439, -0.07097179517212852, -0.2761183984552485, 0.14604563434683793, -0.20497451628231117, -0.21341202973790868, -0.13873464690609458, -0.03435866757472222, -0.08860705357762305, -0.2940864129419866, 0.11185757900160309, -0.08531032528136731, 0.05052812460407212, -0.03835577249678003, -0.27527797236610707, -0.09070198617346988, 0.01780500408966799, 0.09647340421577462, 0.158760372930005, 0.18530357788895835, -0.21335978081097473, -0.12249721494830541, 0.40248390980618626, -0.11983726946385326, -0.1432003094637735, 0.12548688976597544, -0.20756854191170754, -0.1184233826541065, 0.09096785514250498, 0.2095165773817162, 0.07099512875130451, -0.19323286692284652, 0.1261641783686984, -0.017556398551646823, 0.21221850276295398, 0.08180088527198578, 0.02633328049921909, 0.22535129720848557, 0.22478848924810016, -0.030877582225445156, 0.06875203300984828, -0.05826349601124388, -0.07245343192983922, -0.3618789933168808, -0.09054891218280268, -0.14711488662539302, 0.06798267347196973, -0.11795037571376983, -0.10989121590564782, 0.43400918385265647, 0.12058558651069934, 0.2187104787979577, -0.01348692595677897, 0.31448309350054005, 0.12412626331442388, 0.03129271799195055, 0.14462603835665896, 0.2508422355922694, 0.22458535438164365, 0.2183077829084485, -0.3806856135221047, -0.06747282981027761, 0.09420494329675126] |
710.4358 | Geometrization of 3-dimensional Coxeter orbifolds and Singer's
conjecture | Associated to any Coxeter system $(W,S)$, there is a labeled simplicial
complex $L$ and a contractible CW-complex $\Sigma_L$ (the Davis complex) on
which $W$ acts properly and cocompactly. $\Sigma_L$ admits a cellulation under
which the nerve of each vertex is $L$. It follows that if $L$ is a
triangulation of $\mathbb{S}^{n-1}$, then $\Sigma_L$ is a contractible
$n$-manifold. In this case, the orbit space, $K_L:=\Sigma_L/W$, is a
\emph{Coxeter orbifold}. We prove a result analogous to the JSJ-decomposition
for 3-dimensional manifolds: Every 3-dimensional Coxeter orbifold splits along
Euclidean suborbifolds into the \emph{characteristic suborbifold} and simple
(hyperbolic) pieces. It follows that every 3-dimensional Coxeter orbifold has a
decomposition into pieces which have hyperbolic, Euclidean, or the geometry of
$\mathbb{H}^2\times\mathbb{R}$. (We leave out the case of spherical Coxeter
orbifolds.) A version of Singer's conjecture in dimension 3 follows: That the
reduced $\ell^2$-homology of $\Sigma_L$ vanishes.
| math.GR math.AT math.GT | associated to any coxeter system ws there is a labeled simplicial complex l and a contractible cwcomplex sigma_l the davis complex on which w acts properly and cocompactly sigma_l admits a cellulation under which the nerve of each vertex is l it follows that if l is a triangulation of mathbbsn1 then sigma_l is a contractible nmanifold in this case the orbit space k_lsigma_lw is a emphcoxeter orbifold we prove a result analogous to the jsjdecomposition for 3dimensional manifolds every 3dimensional coxeter orbifold splits along euclidean suborbifolds into the emphcharacteristic suborbifold and simple hyperbolic pieces it follows that every 3dimensional coxeter orbifold has a decomposition into pieces which have hyperbolic euclidean or the geometry of mathbbh2timesmathbbr we leave out the case of spherical coxeter orbifolds a version of singers conjecture in dimension 3 follows that the reduced ell2homology of sigma_l vanishes | [['associated', 'to', 'any', 'coxeter', 'system', 'ws', 'there', 'is', 'a', 'labeled', 'simplicial', 'complex', 'l', 'and', 'a', 'contractible', 'cwcomplex', 'sigma_l', 'the', 'davis', 'complex', 'on', 'which', 'w', 'acts', 'properly', 'and', 'cocompactly', 'sigma_l', 'admits', 'a', 'cellulation', 'under', 'which', 'the', 'nerve', 'of', 'each', 'vertex', 'is', 'l', 'it', 'follows', 'that', 'if', 'l', 'is', 'a', 'triangulation', 'of', 'mathbbsn1', 'then', 'sigma_l', 'is', 'a', 'contractible', 'nmanifold', 'in', 'this', 'case', 'the', 'orbit', 'space', 'k_lsigma_lw', 'is', 'a', 'emphcoxeter', 'orbifold', 'we', 'prove', 'a', 'result', 'analogous', 'to', 'the', 'jsjdecomposition', 'for', '3dimensional', 'manifolds', 'every', '3dimensional', 'coxeter', 'orbifold', 'splits', 'along', 'euclidean', 'suborbifolds', 'into', 'the', 'emphcharacteristic', 'suborbifold', 'and', 'simple', 'hyperbolic', 'pieces', 'it', 'follows', 'that', 'every', '3dimensional', 'coxeter', 'orbifold', 'has', 'a', 'decomposition', 'into', 'pieces', 'which', 'have', 'hyperbolic', 'euclidean', 'or', 'the', 'geometry', 'of', 'mathbbh2timesmathbbr', 'we', 'leave', 'out', 'the', 'case', 'of', 'spherical', 'coxeter', 'orbifolds', 'a', 'version', 'of', 'singers', 'conjecture', 'in', 'dimension', '3', 'follows', 'that', 'the', 'reduced', 'ell2homology', 'of', 'sigma_l', 'vanishes']] | [-0.18850977511278222, 0.14022813012623894, -0.11577909530273506, 0.0636506387198876, -0.126538703055121, -0.19902521677514803, -0.02735146171679454, 0.348855951069189, -0.2796957785729319, -0.12404633918111878, 0.08628123248599877, -0.28956059229926073, -0.15699465725338085, 0.17109058920260786, -0.18664541307412685, -0.09124057431472465, 0.09585412624957305, 0.08467506804237408, -0.04927673172371994, -0.2647635784931481, 0.3755078285666449, -0.09555194102992703, 0.19289527015893587, 0.06690205836660296, 0.1570966441982559, 0.03466501129691356, 0.02349628696351179, 0.07113716400739836, -0.17006802011658562, 0.05197263445838222, 0.2563908340808536, 0.05586002236710296, 0.13741317977130946, -0.31527481839917265, -0.1635354035367657, 0.1969020568133731, 0.15982023057128703, 0.0005156092520337552, -0.003396321300117831, -0.26566085270938594, 0.10716862384828606, -0.1118219279085419, -0.20349702717337226, 0.026618771966812865, 0.11724767305755189, -0.08040197031971599, -0.2074835891103638, -0.02967771732447935, 0.16439292427551533, 0.06254211970205818, -0.025201773688396704, -0.0898231612742945, -0.15234363495505282, 0.1103348722589934, -0.05600930767832324, 0.13524797444364856, 0.09799614391605636, 0.005901257286313921, -0.09545626012009702, 0.43013399604907526, -0.018147609015328012, -0.29874867066641203, 0.0978557851581302, -0.1607031195224928, -0.16534448894006865, 0.16983746962089624, 0.09048335479705462, 0.11110269918239542, 0.006473013616466363, 0.24642362668652953, -0.17702889108830797, 0.11080868547287537, 0.12400623806752264, -0.08948446147509717, 0.0987109931194157, 0.13238455113439287, 0.13353618325698854, 0.139759479672648, 0.012604348053407323, -0.0017072314263454505, -0.33677268916341874, -0.2260515310136335, -0.1506738196177009, 0.20972109138300377, -0.14755579620302472, -0.20103315796836146, 0.32588699422444084, -0.04258914377673396, 0.20410324376425706, 0.10119961192415627, 0.23686710896987018, 0.021205689715653925, 0.08714304341784944, 0.095808033009858, 0.06446978367540786, 0.18999750117239142, -0.027545187123385922, -0.12625516431123418, -0.06376371630540234, 0.2541464632243982] |
710.4359 | Effect of Interactions on Molecular Fluxes and Fluctuations in the
Transport Across Membrane Channels | Transport of molecules across membrane channels is investigated theoretically
using exactly solvable one-dimensional discrete-state stochastic models. An
interaction between molecules and membrane pores is modeled via a set of
binding sites with different energies. It is shown that the interaction
potential strongly influences the particle currents as well as fluctuations in
the number of translocated molecules. For small concentration gradients the
attractive sites lead to largest currents and fluctuations, while the repulsive
interactions yield the largest fluxes and dispersions for large concentration
gradients. Interaction energies that lead to maximal currents and maximal
fluctuations are the same only for locally symmetric potentials, while they
differ for the locally asymmetric potentials. The conditions for the most
optimal translocation transport with maximal current and minimal dispersion are
discussed. It is argued that in this case the interaction strength is
independent of local symmetry of the potential of mean forces. In addition, the
effect of the global asymmetry of the interaction potential is investigated,
and it is shown that it also strongly affects the particle translocation
dynamics. These phenomena can be explained by analyzing the details of the
particle entering and leaving the binding sites in the channel.
| cond-mat.soft cond-mat.stat-mech | transport of molecules across membrane channels is investigated theoretically using exactly solvable onedimensional discretestate stochastic models an interaction between molecules and membrane pores is modeled via a set of binding sites with different energies it is shown that the interaction potential strongly influences the particle currents as well as fluctuations in the number of translocated molecules for small concentration gradients the attractive sites lead to largest currents and fluctuations while the repulsive interactions yield the largest fluxes and dispersions for large concentration gradients interaction energies that lead to maximal currents and maximal fluctuations are the same only for locally symmetric potentials while they differ for the locally asymmetric potentials the conditions for the most optimal translocation transport with maximal current and minimal dispersion are discussed it is argued that in this case the interaction strength is independent of local symmetry of the potential of mean forces in addition the effect of the global asymmetry of the interaction potential is investigated and it is shown that it also strongly affects the particle translocation dynamics these phenomena can be explained by analyzing the details of the particle entering and leaving the binding sites in the channel | [['transport', 'of', 'molecules', 'across', 'membrane', 'channels', 'is', 'investigated', 'theoretically', 'using', 'exactly', 'solvable', 'onedimensional', 'discretestate', 'stochastic', 'models', 'an', 'interaction', 'between', 'molecules', 'and', 'membrane', 'pores', 'is', 'modeled', 'via', 'a', 'set', 'of', 'binding', 'sites', 'with', 'different', 'energies', 'it', 'is', 'shown', 'that', 'the', 'interaction', 'potential', 'strongly', 'influences', 'the', 'particle', 'currents', 'as', 'well', 'as', 'fluctuations', 'in', 'the', 'number', 'of', 'translocated', 'molecules', 'for', 'small', 'concentration', 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710.436 | The Extended Emission of Ultracompact HII Regions: An Overview and New
Observations | Here we present a brief overview of UC HII regions with EE (UC HII+EE)
including our most recent effort aimed at searching for UC HII regions
associated with extended emission.
| astro-ph | here we present a brief overview of uc hii regions with ee uc hiiee including our most recent effort aimed at searching for uc hii regions associated with extended emission | [['here', 'we', 'present', 'a', 'brief', 'overview', 'of', 'uc', 'hii', 'regions', 'with', 'ee', 'uc', 'hiiee', 'including', 'our', 'most', 'recent', 'effort', 'aimed', 'at', 'searching', 'for', 'uc', 'hii', 'regions', 'associated', 'with', 'extended', 'emission']] | [-0.038467297780102695, -0.0004083933951012019, 0.06315888848219967, -0.0020791540115044035, -0.06397772740958066, -0.10454240035072997, 0.10702323318651781, 0.3998742630416206, -0.036800125730223954, -0.2992466834598574, 0.12367702132604759, -0.2899342032855955, -0.05670791215680797, 0.20750069316348124, 0.0356114600977764, -0.05987999608724153, -0.01341951715535131, -0.10764760421267872, 0.004859783253150767, -0.190951979626773, 0.35625866058700045, 0.13757092585979863, 0.1586326620991117, 0.02140030117127402, -0.023563256985026187, -0.16869392393734947, -0.1561653559449418, -0.0018030211714835003, -0.19424735847860575, 0.19062289541410604, 0.37120084557682276, 0.18473559168392215, 0.29219220251101874, -0.38717571183525284, -0.22332545421246824, 0.06091008052743714, 0.17420687658134207, 0.003634684927890013, -0.22262796008124433, -0.3455428837573734, 0.04703986911295817, -0.1806163173811189, -0.12292147758577404, 0.07286660353942163, 0.057194421196292186, -0.065331622042918, -0.22730394446387372, 0.07733935862779617, -0.07102536667411312, 0.11321784764656732, -0.0737716410517821, -0.21444765248753386, 0.08200162821770485, 0.01232003394899697, -0.08009644212393925, 0.12897155783942033, 0.15397512092222942, -0.17625546763683186, -0.1309695747391931, 0.31897481607979744, 0.008406889946039381, 0.04214813971313937, 0.3387436327757314, -0.266629982065281, -0.19058045584323077, 0.200764795444135, 0.149475094509022, 0.12124466891239943, -0.1945770476013422, 0.10257592776404886, 0.02026020838268872, 0.13755584700868048, -0.02351647052624873, 0.1319894903692706, 0.2602371696125844, 0.23914992886370626, 0.028200953179199635, 0.26417944583528, -0.21431985112300528, -0.100007230737086, -0.4109950993081619, -0.12869538125533866, 0.004492446394829914, -0.013958969908156272, -0.010574693775510994, -0.0828809854092783, 0.4030465442558815, 0.09817234792842947, 0.19515037343933664, -0.00918094454943363, 0.2697169706385968, 0.009356777878189138, 0.0870180939934377, 0.17954875830689382, 0.20722547610258235, 0.04949771792724215, 0.0755288468609596, -0.2191682312766026, 0.03996453834456745, 0.04711019511109796] |
710.4361 | QWalk: A Quantum Monte Carlo Program for Electronic Structure | We describe QWalk, a new computational package capable of performing Quantum
Monte Carlo electronic structure calculations for molecules and solids with
many electrons. We describe the structure of the program and its implementation
of Quantum Monte Carlo methods. It is open-source, licensed under the GPL, and
available at the web site http://www.qwalk.org
| physics.comp-ph physics.atm-clus physics.chem-ph | we describe qwalk a new computational package capable of performing quantum monte carlo electronic structure calculations for molecules and solids with many electrons we describe the structure of the program and its implementation of quantum monte carlo methods it is opensource licensed under the gpl and available at the web site httpwwwqwalkorg | [['we', 'describe', 'qwalk', 'a', 'new', 'computational', 'package', 'capable', 'of', 'performing', 'quantum', 'monte', 'carlo', 'electronic', 'structure', 'calculations', 'for', 'molecules', 'and', 'solids', 'with', 'many', 'electrons', 'we', 'describe', 'the', 'structure', 'of', 'the', 'program', 'and', 'its', 'implementation', 'of', 'quantum', 'monte', 'carlo', 'methods', 'it', 'is', 'opensource', 'licensed', 'under', 'the', 'gpl', 'and', 'available', 'at', 'the', 'web', 'site', 'httpwwwqwalkorg']] | [-0.08851047868237776, 0.07458409662449769, -0.0792500744573772, 0.10222449517973206, -0.007687773920741736, -0.16829357842239095, 0.03357252726609837, 0.4605624092852368, -0.30002281186627405, -0.3247712076294656, 0.052204214894742355, -0.2979553980278034, -0.09125818427213851, 0.23657847339670887, 0.08647006795759879, 0.0767064812928712, 0.1724136183038354, -0.07041198435221233, -0.0694464458810056, -0.23201295166440747, 0.20055810796717802, 0.21574705529401042, 0.2552765579939838, 0.05692636415558666, 0.11653035145033808, 0.06807824248886284, -0.018653187772953043, -0.0482879834359183, -0.18827284678962886, 0.1549547677129215, 0.2731861923456046, 0.13578214098279381, 0.24126509722212658, -0.47467037812605795, -0.162648695689973, -0.014981530885230385, 0.06640079602891323, 0.17451879276218368, -0.08794119879238162, -0.2609772603118829, 0.052733042715665174, -0.2454519068055293, -0.11803418446295694, -0.1647761356012494, -0.10910299462357573, 0.006354180347247451, -0.20590513618891218, 0.0008593273860420667, -0.06881519911043785, 0.13806383074680686, 0.005367885688411109, -0.11841312602308451, -0.002006066278280581, 0.10354881809440021, -0.024255290947051023, 0.02116723387849097, 0.16754577153672776, -0.10313305487929314, -0.1550978666682746, 0.4201180572603263, 0.010740982368588448, -0.13695664462797782, 0.20758124269252898, -0.06907126230790335, -0.2012574190054746, 0.15722691387511042, 0.13384527702103644, 0.1442611896816422, -0.19866392507866099, 0.20060656133550675, 0.023517018987559805, 0.16562242575866334, -0.07936327059881068, 0.006586122554818205, 0.1523294560611248, 0.1915496450794094, -0.03495419779723948, 0.16952168013827473, -0.09425254829008789, -0.17103882154961134, -0.25072627923652235, -0.2342559124580493, -0.23515297511738598, 0.003514020484598244, -0.034824799654112816, -0.2315347325604628, 0.4124782663934371, 0.2104742416892858, -0.016288354828515473, 0.015556190345509379, 0.31702249164820884, -0.00356605599689133, 0.07334007493987241, 0.1754893161739935, 0.0881128754631123, 0.08490443224196925, 0.08570262234584958, -0.2498576026135946, 0.06635136637544516, 0.04292904800169316] |
710.4362 | Using generalized PowerFlux methods to estimate the parameters of
periodic gravitational waves | We investigate methods to estimate the parameters of the gravitational-wave
signal from a spinning neutron star using Fourier transformed segments of the
strain response from an interferometric detector. Estimating the parameters
from the power, we find generalizations of the PowerFlux method. Using
simulated elliptically polarized signals injected into Gaussian noise, we apply
the generalized methods to estimate the squared amplitudes of the plus and
cross polarizations (and, in the most general case, the polarization angle),
and test the relative detection efficiencies of the various methods.
| gr-qc | we investigate methods to estimate the parameters of the gravitationalwave signal from a spinning neutron star using fourier transformed segments of the strain response from an interferometric detector estimating the parameters from the power we find generalizations of the powerflux method using simulated elliptically polarized signals injected into gaussian noise we apply the generalized methods to estimate the squared amplitudes of the plus and cross polarizations and in the most general case the polarization angle and test the relative detection efficiencies of the various methods | [['we', 'investigate', 'methods', 'to', 'estimate', 'the', 'parameters', 'of', 'the', 'gravitationalwave', 'signal', 'from', 'a', 'spinning', 'neutron', 'star', 'using', 'fourier', 'transformed', 'segments', 'of', 'the', 'strain', 'response', 'from', 'an', 'interferometric', 'detector', 'estimating', 'the', 'parameters', 'from', 'the', 'power', 'we', 'find', 'generalizations', 'of', 'the', 'powerflux', 'method', 'using', 'simulated', 'elliptically', 'polarized', 'signals', 'injected', 'into', 'gaussian', 'noise', 'we', 'apply', 'the', 'generalized', 'methods', 'to', 'estimate', 'the', 'squared', 'amplitudes', 'of', 'the', 'plus', 'and', 'cross', 'polarizations', 'and', 'in', 'the', 'most', 'general', 'case', 'the', 'polarization', 'angle', 'and', 'test', 'the', 'relative', 'detection', 'efficiencies', 'of', 'the', 'various', 'methods']] | [-0.0504683272461133, 0.07969141897954293, -0.08829841836191275, 0.07706508584430112, -0.0253449992988916, -0.06836259708575466, 0.007752871606498957, 0.3589918200803154, -0.2544680023798719, -0.28359886454418304, 0.06702119854744523, -0.2978991953984779, -0.11778653160641518, 0.2518055328469285, -0.006592436721000601, 0.06600335222970256, 0.04943828027804985, 0.004471197307986371, -0.12464279402595232, -0.17001072846709148, 0.298288708059665, 0.07064314970390542, 0.2887410686734845, -0.04521265291773221, 0.12754310472484898, 0.05600312203716706, -0.09500894905341899, -0.01690122435855515, -0.12430003858993159, 0.1004865860895199, 0.20368138825082605, 0.132188699372551, 0.15000330114956287, -0.41373064019169437, -0.18529277414302617, 0.1322385675712105, 0.06787403673207497, 0.13674230337115553, -0.012007695904878133, -0.2985959275324336, 0.018891275608364275, -0.16326203524025487, -0.10962088493739858, -0.040383307131774286, -0.020012301042237703, 0.079473874170114, -0.30172744867227536, 0.08073561248533866, 0.023027264576504582, -0.013646674890290289, -0.09018050171708798, -0.1526755827739287, -0.009001000467961763, 0.09176499032251098, 0.07198656465419952, 0.011961440758450943, 0.15067365194177804, -0.1472654806860887, -0.11663334658917258, 0.34325382544878213, -0.1212548970902229, -0.21691864254500937, 0.11140734167659984, -0.18371174361775902, -0.07956257736146012, 0.1576899050954072, 0.2521526864291552, 0.16811054479330778, -0.13970000029486768, 0.014301861858899322, 0.06171934812822762, 0.19534682296216488, 0.1127944233279456, 0.007706932239371407, 0.2391041089725845, 0.12970945837304873, 0.010261166468262672, 0.1835287070230526, -0.264915810311761, -0.01663067060358384, -0.2883655823075541, -0.07834030063275028, -0.170393634850488, 0.04448127283659928, -0.10928298456762123, -0.11015967871336375, 0.4403973436969168, 0.1632106313810629, 0.1740333610406036, 0.04433157040655394, 0.3783215050749919, 0.14136479241663918, 0.043689727575025136, 0.04759964113507201, 0.29515766580315195, 0.21116216218865969, 0.03465501967653194, -0.23289496136336205, 0.03049678834812606, 0.002874717751846594] |
710.4363 | Search for Standard Model Higgs Bosons Produced in Association with W
Bosons | We report on the results of a search for standard model Higgs bosons produced
in association with W bosons from p-pbar collisions at root s = 1.96 TeV. The
search uses a data sample corresponding to approximately 1 fb-1 of integrated
luminosity. Events consistent with the W to l-nu and H to b-bbar signature are
selected by triggering on a high-pT electron or muon candidate and tagging one
or two of the jet candidates as having originated from b quarks. A neural
network filter rejects a fraction of tagged charm and light flavor jets,
increasing the b-jet purity in the sample and thereby reducing the background
to Higgs boson production. We observe no excess l-nu-b-bbar production beyond
the background expectation, and we set 95% confidence level upper limits on the
production cross section times branching fraction sigma(p-pbar to WH) times
Br(H to b-bbar) ranging from 3.9 to 1.3 pb, for specific Higgs boson mass
hypotheses in the range 110 to 150 GeV/c2, respectively.
| hep-ex | we report on the results of a search for standard model higgs bosons produced in association with w bosons from ppbar collisions at root s 196 tev the search uses a data sample corresponding to approximately 1 fb1 of integrated luminosity events consistent with the w to lnu and h to bbbar signature are selected by triggering on a highpt electron or muon candidate and tagging one or two of the jet candidates as having originated from b quarks a neural network filter rejects a fraction of tagged charm and light flavor jets increasing the bjet purity in the sample and thereby reducing the background to higgs boson production we observe no excess lnubbbar production beyond the background expectation and we set 95 confidence level upper limits on the production cross section times branching fraction sigmappbar to wh times brh to bbbar ranging from 39 to 13 pb for specific higgs boson mass hypotheses in the range 110 to 150 gevc2 respectively | [['we', 'report', 'on', 'the', 'results', 'of', 'a', 'search', 'for', 'standard', 'model', 'higgs', 'bosons', 'produced', 'in', 'association', 'with', 'w', 'bosons', 'from', 'ppbar', 'collisions', 'at', 'root', 's', '196', 'tev', 'the', 'search', 'uses', 'a', 'data', 'sample', 'corresponding', 'to', 'approximately', '1', 'fb1', 'of', 'integrated', 'luminosity', 'events', 'consistent', 'with', 'the', 'w', 'to', 'lnu', 'and', 'h', 'to', 'bbbar', 'signature', 'are', 'selected', 'by', 'triggering', 'on', 'a', 'highpt', 'electron', 'or', 'muon', 'candidate', 'and', 'tagging', 'one', 'or', 'two', 'of', 'the', 'jet', 'candidates', 'as', 'having', 'originated', 'from', 'b', 'quarks', 'a', 'neural', 'network', 'filter', 'rejects', 'a', 'fraction', 'of', 'tagged', 'charm', 'and', 'light', 'flavor', 'jets', 'increasing', 'the', 'bjet', 'purity', 'in', 'the', 'sample', 'and', 'thereby', 'reducing', 'the', 'background', 'to', 'higgs', 'boson', 'production', 'we', 'observe', 'no', 'excess', 'lnubbbar', 'production', 'beyond', 'the', 'background', 'expectation', 'and', 'we', 'set', '95', 'confidence', 'level', 'upper', 'limits', 'on', 'the', 'production', 'cross', 'section', 'times', 'branching', 'fraction', 'sigmappbar', 'to', 'wh', 'times', 'brh', 'to', 'bbbar', 'ranging', 'from', '39', 'to', '13', 'pb', 'for', 'specific', 'higgs', 'boson', 'mass', 'hypotheses', 'in', 'the', 'range', '110', 'to', '150', 'gevc2', 'respectively']] | [-0.027618531862950612, 0.2102548426923903, -0.014268426464650756, 0.1258600773521184, -0.04327458433911019, -0.1454094559220331, 0.13079463764706986, 0.33983996746481704, -0.1681207525898176, -0.3607726093057705, -0.009140801846674464, -0.4066465673389735, 0.152157612257747, 0.15995513228193411, 0.07591892617482761, 0.10378860960199689, 0.1327732524151989, 0.028606006047711564, -0.013879515519886284, -0.25836988960780344, 0.2308698022226161, 0.056768517670805874, 0.2309058055582439, 0.05849318640156192, 0.10625981628643175, 0.039876866933849196, -0.06897239979849666, -0.124321127610472, -0.09571901001383244, 0.07067108893443784, 0.1960489743689989, 0.09938413253406884, 0.11791410914400624, -0.263599514509591, -0.033999481161778665, 0.17919930739629064, 0.1573897889664871, 0.024281750074500993, -0.07619711588590944, -0.3478623418316754, 0.18675420247307567, -0.22289827569555606, -0.060117635245417585, 0.05713498447472172, 0.01629546997773675, -0.09771782228063723, -0.33968517646737256, 0.12119722377468387, -0.04843916533108488, 0.05623522489053278, 0.007053969605820057, -0.21636578427795436, -0.11381254557040028, -0.07925861135055745, 0.09448313547236127, 0.10990980883061695, 0.2434887452895597, -0.18490606863543346, -0.2346865786297351, 0.35147628632391464, -0.11109447383223484, -0.13777872979183978, 0.245108876036052, -0.20464089364449708, -0.1317740942406474, 0.2133265137498886, 0.31653349393377117, 0.02646070614208392, -0.22849773747921684, 0.08253347822891617, -0.006806607230896165, 0.2101304583578307, 0.08168009319921134, 0.0658355304799245, 0.22155674169800296, 0.2091795619091262, -0.012359698867043538, 0.05777055548752733, -0.1950047855100577, -0.01508169799322922, -0.42446381916286224, -0.13657677900451032, -0.029249045303343036, 0.11771943451950952, -0.06630798653648481, -0.06221146077519248, 0.34364607470885195, 0.10073569054169051, 0.3358924657349353, 0.02653832111929931, 0.23574581443222228, 0.08500697637876707, 0.07292342489413188, 0.07854463326924058, 0.2966265341538866, 0.1583117277647791, 0.12480921097105566, -0.15103223410967206, -0.01014499301351144, 0.04660999116643986] |
710.4364 | Stellar Objects of Extragalactic Origin in the Galactic Halo | We identified globular clusters and field stars of extragalactic origin and
investigated their chemical, physical, and kinematical properties. This objects
as supposed was captured by the Galaxy at different times from debris of the
dwarf satellite galaxies disrupted by its tidal forces. The results are
follows. (1) The majorities of metal-poor stellar objects in the Galaxy have an
extragalactic origin. (2) The masses of the accreted globular clusters decrease
with the removal from the center and the plane of the Galaxy. (3) The relative
abundances of chemical elements in the accreted and genetically connected stars
are essentially distinguished. (4) The accreted field stars demonstrate the
decrease of the relative magnesium abundanses with an increase in sizes and
inclinations of their orbits. (5) The stars of the Centaurus moving group were
born from the matter, in which star formation rate was considerably lower than
in the early Galaxy. On the base of these properties was made a conclusion that
with the decrease of the masses of the dwarf galaxies in them simultaneously
decrease the average masses of globular clusters and the maximum masses of
supernova SNe II. Namely latter fact leads to the decrease of the relative
abundances of \alpha-elements in their metal-poor stars.
| astro-ph | we identified globular clusters and field stars of extragalactic origin and investigated their chemical physical and kinematical properties this objects as supposed was captured by the galaxy at different times from debris of the dwarf satellite galaxies disrupted by its tidal forces the results are follows 1 the majorities of metalpoor stellar objects in the galaxy have an extragalactic origin 2 the masses of the accreted globular clusters decrease with the removal from the center and the plane of the galaxy 3 the relative abundances of chemical elements in the accreted and genetically connected stars are essentially distinguished 4 the accreted field stars demonstrate the decrease of the relative magnesium abundanses with an increase in sizes and inclinations of their orbits 5 the stars of the centaurus moving group were born from the matter in which star formation rate was considerably lower than in the early galaxy on the base of these properties was made a conclusion that with the decrease of the masses of the dwarf galaxies in them simultaneously decrease the average masses of globular clusters and the maximum masses of supernova sne ii namely latter fact leads to the decrease of the relative abundances of alphaelements in their metalpoor stars | [['we', 'identified', 'globular', 'clusters', 'and', 'field', 'stars', 'of', 'extragalactic', 'origin', 'and', 'investigated', 'their', 'chemical', 'physical', 'and', 'kinematical', 'properties', 'this', 'objects', 'as', 'supposed', 'was', 'captured', 'by', 'the', 'galaxy', 'at', 'different', 'times', 'from', 'debris', 'of', 'the', 'dwarf', 'satellite', 'galaxies', 'disrupted', 'by', 'its', 'tidal', 'forces', 'the', 'results', 'are', 'follows', '1', 'the', 'majorities', 'of', 'metalpoor', 'stellar', 'objects', 'in', 'the', 'galaxy', 'have', 'an', 'extragalactic', 'origin', '2', 'the', 'masses', 'of', 'the', 'accreted', 'globular', 'clusters', 'decrease', 'with', 'the', 'removal', 'from', 'the', 'center', 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'ii', 'namely', 'latter', 'fact', 'leads', 'to', 'the', 'decrease', 'of', 'the', 'relative', 'abundances', 'of', 'alphaelements', 'in', 'their', 'metalpoor', 'stars']] | [-0.05795490069373621, 0.15687968249742223, -0.060725971565369775, 0.07551470475149166, -0.06644008678066, 0.02513346640337812, 0.05868105521286713, 0.37054093121458764, -0.1649927559613001, -0.3762220309005294, -0.0155189503439573, -0.31506471358018345, -0.003104194595321718, 0.17567563754630894, -0.06263306467116138, -0.06390842717483243, 0.07515843398177462, 6.627392699241196e-05, -0.04627819121630844, -0.35983086357096045, 0.3287866945968627, 0.04755997601527684, 0.12463655201130372, -0.07339169684852852, 0.030984314460547106, -0.1257247379658246, -0.06346787273823883, -0.03642243541843986, -0.1474590924268287, 0.05040548898084873, 0.20011467144613923, 0.14040009324936806, 0.18717522036496292, -0.3776766466908157, -0.18769250154762648, 0.06208045323296349, 0.21446778545430448, 0.047192805639749376, 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710.4365 | The Three-body Force and the Tetraquark Interpretation of Light Scalar
Mesons | We study the possible tetraquark interpretation of light scalar meson states
$a_0(980)$, $f_0(980)$, $\kappa$, $\sigma$ within the framework of the
non-relativistic potential model. The wave functions of tetraquark states are
obtained in a space spanned by multiple Gaussian functions. We find that the
mass spectra of the light scalar mesons can be well accommodated in the
tetraquark picture if we introduce a three-body quark interaction in the quark
model. Using the obtained multiple Gaussian wave functions, the decay constants
of tetraquarks are also calculated within the ``fall apart'' mechanism.
| hep-ph | we study the possible tetraquark interpretation of light scalar meson states a_0980 f_0980 kappa sigma within the framework of the nonrelativistic potential model the wave functions of tetraquark states are obtained in a space spanned by multiple gaussian functions we find that the mass spectra of the light scalar mesons can be well accommodated in the tetraquark picture if we introduce a threebody quark interaction in the quark model using the obtained multiple gaussian wave functions the decay constants of tetraquarks are also calculated within the fall apart mechanism | [['we', 'study', 'the', 'possible', 'tetraquark', 'interpretation', 'of', 'light', 'scalar', 'meson', 'states', 'a_0980', 'f_0980', 'kappa', 'sigma', 'within', 'the', 'framework', 'of', 'the', 'nonrelativistic', 'potential', 'model', 'the', 'wave', 'functions', 'of', 'tetraquark', 'states', 'are', 'obtained', 'in', 'a', 'space', 'spanned', 'by', 'multiple', 'gaussian', 'functions', 'we', 'find', 'that', 'the', 'mass', 'spectra', 'of', 'the', 'light', 'scalar', 'mesons', 'can', 'be', 'well', 'accommodated', 'in', 'the', 'tetraquark', 'picture', 'if', 'we', 'introduce', 'a', 'threebody', 'quark', 'interaction', 'in', 'the', 'quark', 'model', 'using', 'the', 'obtained', 'multiple', 'gaussian', 'wave', 'functions', 'the', 'decay', 'constants', 'of', 'tetraquarks', 'are', 'also', 'calculated', 'within', 'the', 'fall', 'apart', 'mechanism']] | [-0.11796343781765592, 0.26401487359609666, -0.10804761473215028, 0.18008309328572802, -0.04314134332738566, -0.14076987441545458, 0.08085852520268284, 0.3471625660326374, -0.2010100053183818, -0.18323438540310338, -0.08341995131857484, -0.25812959266052155, -0.09317620106962289, 0.08876732041473302, 0.12759893338897088, 0.12049998933177315, 0.0787385090390283, 0.04072631990767262, -0.06434528100411564, -0.17435111605373912, 0.39074298000653807, -0.08593380386323742, 0.1376321989038352, 0.13545292706275883, -0.015329832085565235, 0.021946494870431973, 0.015725834828832847, -0.09246686802100484, -0.09326190332755553, 0.0666935109269146, 0.16926038712250027, 0.13835437228547387, 0.16481058227010803, -0.35948318222098136, -0.22172470090209684, 0.11320561726755474, 0.19777445536985827, 0.10280225589986514, 0.025860280719365965, -0.3750258066921673, 0.0769010302349088, -0.19620741493581387, -0.1948941140147868, -0.11598612469087323, -0.027118461436769936, -0.03588337749713676, -0.31756000362043635, 0.1197962427503309, -0.08724967179835638, -0.017762348736018948, -0.1388363621270891, -0.24084534094239887, -0.07219034601578468, 0.005194414155871681, 0.07692831835651959, 0.0938616538331373, 0.16331613090496216, -0.16053815841088803, -0.14304163056593178, 0.41193318150393415, -0.13552587825721235, -0.24936684237772158, 0.07234180001855901, -0.1651295180422034, -0.08999757632989897, 0.09143221536337325, 0.17888101090394545, 0.07695689591777961, -0.1739712462164043, 0.11919924697388759, -0.10976651261182596, 0.14535802094987854, 0.1079746278452823, 0.11805810027473261, 0.2543898989561568, 0.15210633197527254, -0.11144349939618887, 0.10063543526345885, -0.04402005599204744, -0.12051448669726698, -0.4071046857260105, -0.10413459821321656, -0.13591914608279307, 0.03139852892621839, -0.08685021873647242, -0.12769253020373622, 0.4314700004833049, 0.01655838778242469, 0.23347983922118717, 0.024683225345326944, 0.2627232801169157, 0.11827807077677564, 0.06836827105601852, 0.10275928037806173, 0.3224361211145192, 0.2209187607526821, 0.10303246930471799, -0.23300313613680976, -0.03785610486219606, 0.033185407733858634] |
710.4366 | Conformally parametrized surfaces associated with CP^(N-1) sigma models | Two-dimensional conformally parametrized surfaces immersed in the su(N)
algebra are investigated. The focus is on surfaces parametrized by solutions of
the equations for the CP^(N-1) sigma model. The Lie-point symmetries of the
CP^(N-1) model are computed for arbitrary N. The Weierstrass formula for
immersion is determined and an explicit formula for a moving frame on a surface
is constructed. This allows us to determine the structural equations and
geometrical properties of surfaces in R^(N^2-1). The fundamental forms,
Gaussian and mean curvatures, Willmore functional and topological charge of
surfaces are given explicitly in terms of any holomorphic solution of the CP^2
model. The approach is illustrated through several examples, including surfaces
immersed in low-dimensional su(N) algebras.
| math.DG | twodimensional conformally parametrized surfaces immersed in the sun algebra are investigated the focus is on surfaces parametrized by solutions of the equations for the cpn1 sigma model the liepoint symmetries of the cpn1 model are computed for arbitrary n the weierstrass formula for immersion is determined and an explicit formula for a moving frame on a surface is constructed this allows us to determine the structural equations and geometrical properties of surfaces in rn21 the fundamental forms gaussian and mean curvatures willmore functional and topological charge of surfaces are given explicitly in terms of any holomorphic solution of the cp2 model the approach is illustrated through several examples including surfaces immersed in lowdimensional sun algebras | [['twodimensional', 'conformally', 'parametrized', 'surfaces', 'immersed', 'in', 'the', 'sun', 'algebra', 'are', 'investigated', 'the', 'focus', 'is', 'on', 'surfaces', 'parametrized', 'by', 'solutions', 'of', 'the', 'equations', 'for', 'the', 'cpn1', 'sigma', 'model', 'the', 'liepoint', 'symmetries', 'of', 'the', 'cpn1', 'model', 'are', 'computed', 'for', 'arbitrary', 'n', 'the', 'weierstrass', 'formula', 'for', 'immersion', 'is', 'determined', 'and', 'an', 'explicit', 'formula', 'for', 'a', 'moving', 'frame', 'on', 'a', 'surface', 'is', 'constructed', 'this', 'allows', 'us', 'to', 'determine', 'the', 'structural', 'equations', 'and', 'geometrical', 'properties', 'of', 'surfaces', 'in', 'rn21', 'the', 'fundamental', 'forms', 'gaussian', 'and', 'mean', 'curvatures', 'willmore', 'functional', 'and', 'topological', 'charge', 'of', 'surfaces', 'are', 'given', 'explicitly', 'in', 'terms', 'of', 'any', 'holomorphic', 'solution', 'of', 'the', 'cp2', 'model', 'the', 'approach', 'is', 'illustrated', 'through', 'several', 'examples', 'including', 'surfaces', 'immersed', 'in', 'lowdimensional', 'sun', 'algebras']] | [-0.15404670168848142, 0.09468014557838299, -0.06248918927714998, 0.08538742937937217, -0.05019851097756106, -0.13126246460268032, -0.05673436327640008, 0.3366138713839261, -0.23059318951614524, -0.2667344982897782, 0.08032266714043268, -0.28475447871087056, -0.17602727490720219, 0.20221523673516575, -0.0812800755602834, 0.07081177927472669, -0.012342428715656634, 0.05953283437082301, -0.13275653002378734, -0.2526512412769396, 0.3606542226170068, -0.04602100933578027, 0.22776680458337067, 0.05212377268395832, 0.1336822767701486, -0.001538409988152916, -0.002673324942588806, 0.0024739000581852767, -0.2095172174517875, 0.16440063975650168, 0.2194929438845619, 0.015098087108977462, 0.11962595211503946, -0.44449864548185597, -0.270008599984905, 0.08694202059313007, 0.11330325279951743, 0.0625554343705754, -0.030124895017513115, -0.2775297166536684, 0.04729804111563641, -0.0890549016063628, -0.20297669039067368, -0.10654630422916102, 0.024778551049530508, 0.0053832065152085344, -0.1955172504602081, 0.0503164184725155, 0.07264337670462935, 0.11846405857080675, -0.13516329533228164, -0.08324999855831265, -0.11679090335965156, 0.09560172199069158, 0.022617853239543087, 0.031214849509136833, 0.10383026091300923, -0.128292572196654, -0.0736599210330852, 0.3977475349993809, -0.080893506773788, -0.34294852210770604, 0.1181308852771864, -0.10577254376738615, -0.09769024925468409, 0.14141910010948777, 0.15353242078310123, 0.19741797487696874, -0.1506050598119264, 0.2191860944741284, -0.05442666017814823, 0.07797357375612078, 0.08625540285087797, -0.07485573211603838, 0.1883391363667729, 0.11872334898975881, 0.028166351641487817, 0.1381626089791889, -0.045769414560788355, -0.1267638398901276, -0.36920802976288225, -0.21923380570243234, -0.16465618091270975, 0.0654817071378879, -0.13161426606820897, -0.19447036330061762, 0.4004293667557447, 0.0299240258562824, 0.18367089659542493, 0.05640135779571922, 0.1978596882722543, 0.12303820136610581, 0.03459114306935352, 0.0625340667674723, 0.16259131742762806, 0.20856643591238105, -0.03363698680034798, -0.1669837885419838, -0.04017574298802925, 0.2027655037848846] |
710.4367 | A nuclear magnetic resonance spectrometer for operation around 1 MHz
with a sub 10 mK noise temperature based on a two stage dc SQUID | We have developed a nuclear magnetic resonance spectrometer with a series
tuned input circuit for measurements on samples at millikelvin temperatures
based on an integrated two-stage superconducting quantum interference device
current sensor, with an energy sensitivty e = 26 +/-1 h when operated at 1.4K.
To maximise the sensitivity both the NMR pickup coil and tuning capacitor need
to be cooled, and the tank circuit parameters should be chosen to equalise the
contributions from circulating current noise and voltage noise in the SQUID. A
noise temperature TN = 7 +/-2 mK was measured, at a frequency of 0.884 MHz,
with the circuit parameters close to optimum.
| cond-mat.supr-con | we have developed a nuclear magnetic resonance spectrometer with a series tuned input circuit for measurements on samples at millikelvin temperatures based on an integrated twostage superconducting quantum interference device current sensor with an energy sensitivty e 26 1 h when operated at 14k to maximise the sensitivity both the nmr pickup coil and tuning capacitor need to be cooled and the tank circuit parameters should be chosen to equalise the contributions from circulating current noise and voltage noise in the squid a noise temperature tn 7 2 mk was measured at a frequency of 0884 mhz with the circuit parameters close to optimum | [['we', 'have', 'developed', 'a', 'nuclear', 'magnetic', 'resonance', 'spectrometer', 'with', 'a', 'series', 'tuned', 'input', 'circuit', 'for', 'measurements', 'on', 'samples', 'at', 'millikelvin', 'temperatures', 'based', 'on', 'an', 'integrated', 'twostage', 'superconducting', 'quantum', 'interference', 'device', 'current', 'sensor', 'with', 'an', 'energy', 'sensitivty', 'e', '26', '1', 'h', 'when', 'operated', 'at', '14k', 'to', 'maximise', 'the', 'sensitivity', 'both', 'the', 'nmr', 'pickup', 'coil', 'and', 'tuning', 'capacitor', 'need', 'to', 'be', 'cooled', 'and', 'the', 'tank', 'circuit', 'parameters', 'should', 'be', 'chosen', 'to', 'equalise', 'the', 'contributions', 'from', 'circulating', 'current', 'noise', 'and', 'voltage', 'noise', 'in', 'the', 'squid', 'a', 'noise', 'temperature', 'tn', '7', '2', 'mk', 'was', 'measured', 'at', 'a', 'frequency', 'of', '0884', 'mhz', 'with', 'the', 'circuit', 'parameters', 'close', 'to', 'optimum']] | [-0.10635698918090428, 0.19179621783059173, 0.013370623735222712, -0.04868655024295293, -0.012459083975663462, -0.22933726548895383, 0.08146283436268206, 0.39717785185835897, -0.21662567330646393, -0.37466492827583864, 0.05251137821740715, -0.3147378360301039, 0.00403880186885306, 0.25192232834609246, -0.024634825002438236, 0.06647444618481564, -0.00373252048564044, 0.039746321233111497, -0.03570275327859862, -0.17554681084019322, 0.1942773520340691, 0.12579215368825616, 0.3124493364678714, 0.0120918171760599, 0.13300544580823892, -0.1003723679589632, 0.09873593137463899, 0.017056241984144578, -0.12162361458594938, -0.019055940518246113, 0.3050551220810818, -0.00895963285516188, 0.20195202272638535, -0.43919731909861265, -0.14158594549082001, 0.0735732200917182, 0.06472366657876635, 0.07484277979769174, -0.010714451106518362, -0.2811053632148225, 0.08177131092067337, -0.12379850164164329, -0.06458903689534196, -0.036999952952259954, -0.027144469006565735, 0.016111807680679758, -0.33211148527532236, -0.016327265921858077, 0.009583175425062825, 0.11161409515561987, -0.04331730087785032, -0.1662744632922113, 0.06070028763101662, 0.07349807230102405, -0.09577803765830484, 0.08984377352606722, 0.29804647925255584, -0.06969936259285303, -0.0931815907440501, 0.2284063268091204, -0.0798884353971163, -0.10484430423567018, 0.09710621015616304, -0.19511203355273432, -0.039493409677146415, 0.1882106420873366, 0.13156035529377247, -0.006361987979492643, -0.18513643607970223, 0.029936108451666655, 0.10853027014171443, 0.26003179910764534, 0.10057796171224377, 0.010303557845899492, 0.20672749668061371, 0.2029130932687357, 0.06330598883773879, 0.15713704191261305, -0.18868950652681943, 0.048236058654209366, -0.2722639902992156, -0.07560640669120386, -0.18697319197857265, 0.08337352443396033, -0.03237502151623807, -0.11117818214234362, 0.4055819555063669, 0.14997796984660683, 0.19149300220955923, -0.04292025761588395, 0.3652752394815093, 0.1465821826493693, 0.11252171289881022, 0.054575938681701144, 0.2408373421329318, 0.18567093271870636, 0.1712193578544968, -0.304351916349068, -0.01444329680802608, -0.08188553523211242] |
710.4368 | Topological Hochschild homology of l and ko | We calculate the integral homotopy groups of THH(l) at any prime and of
THH(ko) at p=2, where l is the Adams summand of the connective complex p-local
K-theory spectrum and ko is the connective real K-theory spectrum.
| math.AT math.KT | we calculate the integral homotopy groups of thhl at any prime and of thhko at p2 where l is the adams summand of the connective complex plocal ktheory spectrum and ko is the connective real ktheory spectrum | [['we', 'calculate', 'the', 'integral', 'homotopy', 'groups', 'of', 'thhl', 'at', 'any', 'prime', 'and', 'of', 'thhko', 'at', 'p2', 'where', 'l', 'is', 'the', 'adams', 'summand', 'of', 'the', 'connective', 'complex', 'plocal', 'ktheory', 'spectrum', 'and', 'ko', 'is', 'the', 'connective', 'real', 'ktheory', 'spectrum']] | [-0.24689016794519766, 0.019733692572585174, -0.11800277799900089, 0.11696768156252801, -0.07491529571956822, -0.18215404748916625, -0.05710381261472191, 0.3141172544764621, -0.40897170534091337, -0.2339743064184274, 0.08056370657203453, -0.23521905046821173, -0.12068721452461821, 0.17980884058134897, -0.1315062379198415, -0.09256142763021802, -0.009185472024338587, 0.1959280001265662, 0.041706860118678635, -0.20037003010511398, 0.4576749448265348, 0.007026756448405129, 0.13663615524970477, 0.07047947038497243, -0.0234759832067149, 0.05824968262708613, -0.04497785461800439, -0.09474692714533635, -0.1296524163867746, 0.1259486488731844, 0.34987983969705444, -0.0206731273659638, 0.1485539384186268, -0.299352310278586, -0.09620495214393096, 0.27493598011455367, 0.1560653287385191, -0.10709526272756713, 0.08429435405081936, -0.22438946408884866, 0.1872194702071803, -0.18591302681182112, -0.07012058597590243, -0.11540006633315768, 0.13257411707724845, -0.025385684253914017, -0.24837689995765685, -0.03945730945893696, 0.012170263273375375, 0.21288075859525374, -0.1742432877421379, -0.06309539066361529, -0.08342673602247877, 0.19010657700044767, -0.050419321350221126, -0.024132947570511272, 0.13255902950518897, -0.03683533019253186, -0.15624897474689142, 0.41483746064560756, -0.02301896677485534, -0.06324407857443605, 0.09123198388676558, -0.2768052466745887, -0.23926918155380658, 0.22784931595836366, -0.12338283466441291, 0.1742979655308383, 0.16736300036843335, 0.3083553837845102, -0.09096997260515179, 0.12674925097131304, 0.08909656150000436, -0.04890955271465438, 0.07381550446152688, 0.03368365808190512, 0.006766527679948402, 0.07747078778089157, -0.010150972354624952, 0.0489633889070579, -0.30746762515710935, -0.24702482585396085, -0.18469789743955647, 0.20708755600665296, -0.11785567751337242, -0.16943279441579112, 0.4867587129984583, -0.02735348418354988, 0.14551626140517848, 0.2169094271625259, 0.3267199482768774, 0.04710322927151408, 0.019720980977373462, -0.0048211439113531795, 0.06866145195173366, 0.2705628475972584, 0.04913562158388751, -0.14244315339518446, -0.11075957305729389, 0.3043840566916125] |
710.4369 | Sensitivity and parameter-estimation precision for alternate LISA
configurations | We describe a simple framework to assess the LISA scientific performance
(more specifically, its sensitivity and expected parameter-estimation precision
for prescribed gravitational-wave signals) under the assumption of failure of
one or two inter-spacecraft laser measurements (links) and of one to four
intra-spacecraft laser measurements. We apply the framework to the simple case
of measuring the LISA sensitivity to monochromatic circular binaries, and the
LISA parameter-estimation precision for the gravitational-wave polarization
angle of these systems. Compared to the six-link baseline configuration, the
five-link case is characterized by a small loss in signal-to-noise ratio (SNR)
in the high-frequency section of the LISA band; the four-link case shows a
reduction by a factor of sqrt(2) at low frequencies, and by up to ~2 at high
frequencies. The uncertainty in the estimate of polarization, as computed in
the Fisher-matrix formalism, also worsens when moving from six to five, and
then to four links: this can be explained by the reduced SNR available in those
configurations (except for observations shorter than three months, where five
and six links do better than four even with the same SNR). In addition, we
prove (for generic signals) that the SNR and Fisher matrix are invariant with
respect to the choice of a basis of TDI observables; rather, they depend only
on which inter-spacecraft and intra-spacecraft measurements are available.
| gr-qc | we describe a simple framework to assess the lisa scientific performance more specifically its sensitivity and expected parameterestimation precision for prescribed gravitationalwave signals under the assumption of failure of one or two interspacecraft laser measurements links and of one to four intraspacecraft laser measurements we apply the framework to the simple case of measuring the lisa sensitivity to monochromatic circular binaries and the lisa parameterestimation precision for the gravitationalwave polarization angle of these systems compared to the sixlink baseline configuration the fivelink case is characterized by a small loss in signaltonoise ratio snr in the highfrequency section of the lisa band the fourlink case shows a reduction by a factor of sqrt2 at low frequencies and by up to 2 at high frequencies the uncertainty in the estimate of polarization as computed in the fishermatrix formalism also worsens when moving from six to five and then to four links this can be explained by the reduced snr available in those configurations except for observations shorter than three months where five and six links do better than four even with the same snr in addition we prove for generic signals that the snr and fisher matrix are invariant with respect to the choice of a basis of tdi observables rather they depend only on which interspacecraft and intraspacecraft measurements are available | [['we', 'describe', 'a', 'simple', 'framework', 'to', 'assess', 'the', 'lisa', 'scientific', 'performance', 'more', 'specifically', 'its', 'sensitivity', 'and', 'expected', 'parameterestimation', 'precision', 'for', 'prescribed', 'gravitationalwave', 'signals', 'under', 'the', 'assumption', 'of', 'failure', 'of', 'one', 'or', 'two', 'interspacecraft', 'laser', 'measurements', 'links', 'and', 'of', 'one', 'to', 'four', 'intraspacecraft', 'laser', 'measurements', 'we', 'apply', 'the', 'framework', 'to', 'the', 'simple', 'case', 'of', 'measuring', 'the', 'lisa', 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710.437 | Gamma-Ray Bursts May Be Biased Tracers of Star Formation | Based on a simulation of galaxy formation in the standard cosmological model,
we suggest that a consistent picture for Gamma-Ray Bursts and star formation
may be found that is in broad agreement with observations: GRBs preferentially
form in low metallicity environments and in galaxies substantially less
luminous that L*. We find that the computed formation rate of stars with
metallicity less than 0.1Zsun agrees remarkably well with the rate evolution of
Gamma-Ray Bursts observed by Swift from z=0 to z=4, whereas the evolution of
total star formation rate is weaker by a factor of about 4. Given this finding,
we caution that any inference of star formation rate based on observed GRB rate
may require a more involved exercise than a simple proportionality.
| astro-ph | based on a simulation of galaxy formation in the standard cosmological model we suggest that a consistent picture for gammaray bursts and star formation may be found that is in broad agreement with observations grbs preferentially form in low metallicity environments and in galaxies substantially less luminous that l we find that the computed formation rate of stars with metallicity less than 01zsun agrees remarkably well with the rate evolution of gammaray bursts observed by swift from z0 to z4 whereas the evolution of total star formation rate is weaker by a factor of about 4 given this finding we caution that any inference of star formation rate based on observed grb rate may require a more involved exercise than a simple proportionality | [['based', 'on', 'a', 'simulation', 'of', 'galaxy', 'formation', 'in', 'the', 'standard', 'cosmological', 'model', 'we', 'suggest', 'that', 'a', 'consistent', 'picture', 'for', 'gammaray', 'bursts', 'and', 'star', 'formation', 'may', 'be', 'found', 'that', 'is', 'in', 'broad', 'agreement', 'with', 'observations', 'grbs', 'preferentially', 'form', 'in', 'low', 'metallicity', 'environments', 'and', 'in', 'galaxies', 'substantially', 'less', 'luminous', 'that', 'l', 'we', 'find', 'that', 'the', 'computed', 'formation', 'rate', 'of', 'stars', 'with', 'metallicity', 'less', 'than', '01zsun', 'agrees', 'remarkably', 'well', 'with', 'the', 'rate', 'evolution', 'of', 'gammaray', 'bursts', 'observed', 'by', 'swift', 'from', 'z0', 'to', 'z4', 'whereas', 'the', 'evolution', 'of', 'total', 'star', 'formation', 'rate', 'is', 'weaker', 'by', 'a', 'factor', 'of', 'about', '4', 'given', 'this', 'finding', 'we', 'caution', 'that', 'any', 'inference', 'of', 'star', 'formation', 'rate', 'based', 'on', 'observed', 'grb', 'rate', 'may', 'require', 'a', 'more', 'involved', 'exercise', 'than', 'a', 'simple', 'proportionality']] | [-0.07382100100961102, 0.11416896163165326, -0.051522494744143034, 0.1484204977264124, -0.10131433799473538, -0.08003803181507793, 0.06189373692070119, 0.4432170334592706, -0.09987854425505292, -0.3332137859380636, 0.02813932614507856, -0.2520704154845052, -0.055086907495546046, 0.2663747229959926, -0.019660361008107908, -0.06368979440666124, 0.09947589306937546, -0.032626115633022104, -0.08651642792774211, -0.2936946390364624, 0.2806825162728363, 0.14719587824017297, 0.19656568784891726, -0.043707599883448696, 0.043659101723174214, -0.09129744791807454, -0.05251421273273767, -0.01538623851097998, -0.18508628371404723, 0.03583722392127651, 0.22411210543369173, 0.14703496686014972, 0.23189946204484974, -0.3808788261758011, -0.26422108238616376, 0.0708148071550016, 0.2022163275186522, 0.04413201330519724, -0.12596545116577515, -0.2071733344269947, 0.08987151539539079, -0.20496754946385617, -0.12270469817745148, 0.08767152986046477, 0.047479956149845, 0.04021054330724673, -0.24034819819918665, 0.20652514163377986, 0.005951302978171982, 0.036156291649753196, -0.10138280662234689, -0.037409415285362575, -0.07063210789747841, 0.010329585239962965, 0.05081087425179383, 0.12006613371710552, 0.16166215200267245, -0.1662011225268886, -0.05811720257853997, 0.42748970546774934, -0.0808678329667004, -0.003783334222179456, 0.2282437724318951, -0.2510691914882999, -0.18459070820483517, 0.14161867046820337, 0.12092006301934846, 0.12647904392301304, -0.15401777843410364, -0.05650085446183364, 0.003073089506064893, 0.2486228762675443, 0.028787061648412805, 0.04062750809746041, 0.28284736301322455, 0.1553158925752705, 0.04647667036624625, 0.050520110808572445, -0.1281025313264614, -0.07670677346406413, -0.2637440832026425, -0.0804490687356132, -0.13812181928393538, 0.15345567917512332, -0.13631911853258688, -0.08499251754160543, 0.32009285049261066, 0.10129247556371829, 0.257952662787904, 0.12637117761187255, 0.233477180777881, 0.10444549302051424, 0.12416632179567805, 0.13732409551281666, 0.2964985843244024, 0.1180320925815947, 0.04216991295488399, -0.24178891670012267, 0.17847195259948093, -0.0035229103761862538] |
710.4371 | Optical Absorption Study by Ab initio Downfolding Approach: Application
to GaAs | We examine whether essence and quantitative aspects of electronic excitation
spectra are correctly captured by an effective low-energy model constructed
from an {\em ab initio} downfolding scheme. A global electronic structure is
first calculated by {\em ab initio} density-functional calculations with the
generalized gradient approximation. With the help of constrained density
functional theory, the low-energy effective Hamiltonian for bands near the
Fermi level is constructed by the downfolding procedure in the basis of
maximally localized Wannier functions. The excited states of this low-energy
effective Hamiltonian ascribed to an extended Hubbard model are calculated by
using a low-energy solver. As the solver, we employ the Hartree-Fock
approximation supplemented by the single-excitation configuration-interaction
method considering electron-hole interactions. The present three-stage method
is applied to GaAs, where eight bands are retained in the effective model after
the downfolding. The resulting spectra well reproduce the experimental results,
indicating that our downfolding scheme offers a satisfactory framework of the
electronic structure calculation, particularly for the excitations and dynamics
as well as for the ground state.
| cond-mat.str-el cond-mat.mtrl-sci | we examine whether essence and quantitative aspects of electronic excitation spectra are correctly captured by an effective lowenergy model constructed from an em ab initio downfolding scheme a global electronic structure is first calculated by em ab initio densityfunctional calculations with the generalized gradient approximation with the help of constrained density functional theory the lowenergy effective hamiltonian for bands near the fermi level is constructed by the downfolding procedure in the basis of maximally localized wannier functions the excited states of this lowenergy effective hamiltonian ascribed to an extended hubbard model are calculated by using a lowenergy solver as the solver we employ the hartreefock approximation supplemented by the singleexcitation configurationinteraction method considering electronhole interactions the present threestage method is applied to gaas where eight bands are retained in the effective model after the downfolding the resulting spectra well reproduce the experimental results indicating that our downfolding scheme offers a satisfactory framework of the electronic structure calculation particularly for the excitations and dynamics as well as for the ground state | [['we', 'examine', 'whether', 'essence', 'and', 'quantitative', 'aspects', 'of', 'electronic', 'excitation', 'spectra', 'are', 'correctly', 'captured', 'by', 'an', 'effective', 'lowenergy', 'model', 'constructed', 'from', 'an', 'em', 'ab', 'initio', 'downfolding', 'scheme', 'a', 'global', 'electronic', 'structure', 'is', 'first', 'calculated', 'by', 'em', 'ab', 'initio', 'densityfunctional', 'calculations', 'with', 'the', 'generalized', 'gradient', 'approximation', 'with', 'the', 'help', 'of', 'constrained', 'density', 'functional', 'theory', 'the', 'lowenergy', 'effective', 'hamiltonian', 'for', 'bands', 'near', 'the', 'fermi', 'level', 'is', 'constructed', 'by', 'the', 'downfolding', 'procedure', 'in', 'the', 'basis', 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710.4372 | Prediction Space Weather Using an Asymmetric Cone Model for Halo CMEs | Halo coronal mass ejections (HCMEs) are responsible of the most severe
geomagnetic storms. A prediction of their geoeffectiveness and travel time to
Earth's vicinity is crucial to forecast space weather.
Unfortunately coronagraphic observations are subjected to projection effects
and do not provide true characteristics of CMEs. Recently, Michalek (2006, {\it
Solar Phys.}, {\bf237}, 101) developed an asymmetric cone model to obtain the
space speed, width and source location of HCMEs. We applied this technique to
obtain the parameters of all front-sided HCMEs observed by the SOHO/LASCO
experiment during a period from the beginning of 2001 until the end of 2002
(solar cycle 23). These parameters were applied for the space weather forecast.
Our study determined that the space speeds are strongly correlated with the
travel times of HCMEs within Earth's vicinity and with the magnitudes related
to geomagnetic disturbances.
| astro-ph | halo coronal mass ejections hcmes are responsible of the most severe geomagnetic storms a prediction of their geoeffectiveness and travel time to earths vicinity is crucial to forecast space weather unfortunately coronagraphic observations are subjected to projection effects and do not provide true characteristics of cmes recently michalek 2006 it solar phys bf237 101 developed an asymmetric cone model to obtain the space speed width and source location of hcmes we applied this technique to obtain the parameters of all frontsided hcmes observed by the soholasco experiment during a period from the beginning of 2001 until the end of 2002 solar cycle 23 these parameters were applied for the space weather forecast our study determined that the space speeds are strongly correlated with the travel times of hcmes within earths vicinity and with the magnitudes related to geomagnetic disturbances | [['halo', 'coronal', 'mass', 'ejections', 'hcmes', 'are', 'responsible', 'of', 'the', 'most', 'severe', 'geomagnetic', 'storms', 'a', 'prediction', 'of', 'their', 'geoeffectiveness', 'and', 'travel', 'time', 'to', 'earths', 'vicinity', 'is', 'crucial', 'to', 'forecast', 'space', 'weather', 'unfortunately', 'coronagraphic', 'observations', 'are', 'subjected', 'to', 'projection', 'effects', 'and', 'do', 'not', 'provide', 'true', 'characteristics', 'of', 'cmes', 'recently', 'michalek', '2006', 'it', 'solar', 'phys', 'bf237', '101', 'developed', 'an', 'asymmetric', 'cone', 'model', 'to', 'obtain', 'the', 'space', 'speed', 'width', 'and', 'source', 'location', 'of', 'hcmes', 'we', 'applied', 'this', 'technique', 'to', 'obtain', 'the', 'parameters', 'of', 'all', 'frontsided', 'hcmes', 'observed', 'by', 'the', 'soholasco', 'experiment', 'during', 'a', 'period', 'from', 'the', 'beginning', 'of', '2001', 'until', 'the', 'end', 'of', '2002', 'solar', 'cycle', '23', 'these', 'parameters', 'were', 'applied', 'for', 'the', 'space', 'weather', 'forecast', 'our', 'study', 'determined', 'that', 'the', 'space', 'speeds', 'are', 'strongly', 'correlated', 'with', 'the', 'travel', 'times', 'of', 'hcmes', 'within', 'earths', 'vicinity', 'and', 'with', 'the', 'magnitudes', 'related', 'to', 'geomagnetic', 'disturbances']] | [-0.09657491775515088, 0.21738718427391807, -0.01585548477974741, 0.1109472077516635, -0.07263817730271359, -0.026839301516947738, 0.030027773975646193, 0.4073028227885383, -0.18690297685148888, -0.39957975619302616, 0.12589646388868372, -0.2263183223430312, -0.12606580404863849, 0.23844691695574072, -0.10443632213065714, 0.041463887525457266, 0.12053180324511915, -0.011889559021143133, -0.06239946721373194, -0.2602297165601032, 0.1862958605149693, 0.13972893798805391, 0.19657196824432072, -0.011872376678987358, 0.0826112294168531, -0.04445493029580064, -0.07200286168045106, -0.029079709326963955, -0.11756772959774171, 0.036549486722933115, 0.19323026142796895, 0.14303951844382679, 0.21873327928092196, -0.4272294279092746, -0.25767240102613603, 0.0677081239307775, 0.07731893190937321, -0.02339536214016215, 0.016528780722734008, -0.3255552510955255, 0.033315397663055545, -0.12297438558558152, -0.16574840477742528, 0.03499180994873499, 0.07402300651110437, 0.013110418608548106, -0.2786469545022476, 0.09073311529958444, -0.024444084561831, 0.08007120126628922, -0.10678404210692774, -0.06680889616645601, -0.08651327656031362, 0.16119755267498703, 0.12504334777447457, 0.06520564639838888, 0.16718793527841785, -0.03967866905026791, -0.0624539759146036, 0.41929593060954207, -0.028611509143000972, -0.06132726392085854, 0.1833993775301008, -0.22196241994354413, -0.1115512431413955, 0.17355555837063025, 0.21753842276894916, 0.06313459729150372, -0.15553206000918943, 0.0077776806989861445, -0.02530369516903956, 0.12683618521440204, 0.09321828002881694, -0.024944332336503876, 0.24552198753005613, 0.08755440287713478, 0.0705150785842353, 0.039600942474212086, -0.23106791072926164, -0.0712200081567314, -0.24254823195744632, -0.09300116687523623, -0.09636704205198852, 0.01778335537411779, -0.07354566239349096, -0.16412020742512531, 0.4337799996409538, 0.22828525869833496, 0.20791227376448793, -0.013543319526420784, 0.256988214889718, 0.10542606954704155, 0.03396108111820819, 0.14842782179437522, 0.31887483923784354, 0.14974344146342772, 0.1712652553199199, -0.2022337233732679, 0.12448915975154752, 0.09157743187192964] |
710.4373 | Is Strangeness Still Strange at the LHC? | Strangeness production is calculated in a pQCD-based model (including nuclear
effects) in the high transverse momentum sector, where pQCD is expected to work
well. We investigate pion, kaon, proton and lambda production in pp and
heavy-ion collisions. Parton energy loss in AA collisions is taken into
account. We compare strange-to-non-strange meson and baryon ratios to data at
RHIC, and make predictions for the LHC. We find that these ratios significantly
deviate from unity not only at RHIC but also at the LHC, indicating the special
role of strangeness at both energies.
| hep-ph | strangeness production is calculated in a pqcdbased model including nuclear effects in the high transverse momentum sector where pqcd is expected to work well we investigate pion kaon proton and lambda production in pp and heavyion collisions parton energy loss in aa collisions is taken into account we compare strangetononstrange meson and baryon ratios to data at rhic and make predictions for the lhc we find that these ratios significantly deviate from unity not only at rhic but also at the lhc indicating the special role of strangeness at both energies | [['strangeness', 'production', 'is', 'calculated', 'in', 'a', 'pqcdbased', 'model', 'including', 'nuclear', 'effects', 'in', 'the', 'high', 'transverse', 'momentum', 'sector', 'where', 'pqcd', 'is', 'expected', 'to', 'work', 'well', 'we', 'investigate', 'pion', 'kaon', 'proton', 'and', 'lambda', 'production', 'in', 'pp', 'and', 'heavyion', 'collisions', 'parton', 'energy', 'loss', 'in', 'aa', 'collisions', 'is', 'taken', 'into', 'account', 'we', 'compare', 'strangetononstrange', 'meson', 'and', 'baryon', 'ratios', 'to', 'data', 'at', 'rhic', 'and', 'make', 'predictions', 'for', 'the', 'lhc', 'we', 'find', 'that', 'these', 'ratios', 'significantly', 'deviate', 'from', 'unity', 'not', 'only', 'at', 'rhic', 'but', 'also', 'at', 'the', 'lhc', 'indicating', 'the', 'special', 'role', 'of', 'strangeness', 'at', 'both', 'energies']] | [-0.0002556018971113695, 0.26317583872005346, -0.14311807681806385, 0.19214735467685387, 0.012543665974711378, -0.11022485246972388, -0.029968804203801686, 0.34787777081494115, -0.17090300214994286, -0.23073439376635685, -0.0959904606298854, -0.37800932098438755, 0.11963005906695293, 0.11012821646355507, 0.10107786674052477, 0.0670514523724301, 0.13013302098131843, 0.008764159275839727, -0.031207169093088145, -0.19640866160625592, 0.3196412628102634, 0.1288250589536296, 0.22033036487797897, 0.274124122524841, 0.04122165095500855, 0.050232197067493364, -0.03665210300306272, 0.0020555663026041453, -0.1424983576500381, -0.005102258236406164, 0.30189283448788856, 0.04926184004095072, 0.11557741267347915, -0.382694693234387, -0.1101067710046967, 0.14611264281492267, 0.1498214380401704, 0.13723060481198546, -0.027360886107716295, -0.1986725051783853, 0.1223508323646254, -0.2660157221886847, -0.11541594711856709, -0.09004164960869174, -0.0006539818158166276, 0.004021562031185668, -0.35741033886766266, 0.1119867107129216, -0.0895111036577469, 0.07509982370150586, -0.04479477496869448, -0.2675733869481418, -0.09538260508690857, -0.027872670131425064, 0.13087154514958255, 0.11830838819344838, 0.1987594672659826, -0.21882068798618598, -0.13161451684621472, 0.457105316221714, 0.0165840035614868, -0.10523062934064203, 0.14589758481726878, -0.27243343014270066, -0.18873519718957443, 0.1289940357997289, 0.27858365922648876, 0.021061809283370772, -0.1699862434890949, 0.04535576433926407, 0.02026408209801755, 0.1697495459501321, 0.09902562819835213, 0.09973077432692258, 0.18947771810409095, 0.18668624905662404, -0.06912390306178066, 0.04378821693567766, -0.09135600260148445, -0.10316622542838255, -0.4041290296655562, -0.06375546826360126, -0.0742685336412655, 0.04098468073401212, -0.06099180301276243, 0.005089133781277471, 0.32765138626305595, 0.1204053666908294, 0.30761900550892785, 0.007006004913192657, 0.3213010597042739, 0.10410334042583903, 0.0759113452086846, 0.12846921443318327, 0.33305586364327205, 0.13684526901278232, 0.24573564304866724, -0.2839053097465593, 0.028920266688429466, 0.029619843678341973] |
710.4374 | The IMF of Extremely Metal-Poor Stars and the Probe into the
Star-Formation Process of the Milky Way | We discuss the star formation history of the Galaxy, based on the
observations of extremely metal-poor stars (EMP) in the Galactic halo, to gain
an insight into the evolution and structure formation in the early universe.
The initialmass function (IMF) of EMP stars is derived from the observed
fraction of carbon-enhanced EXP (CEMP) stars among the EMP survivors, which are
thought to originate from the evolution in the close binary systems with mass
transfer. Relying upon the theory of the evolution of EMP stars and of their
binary evolution, we find that stars of metallicity [Fe/H]<-2.5 were formed at
typical mass of ~10M_sun. The top heavy IMF thus obtained is applied to study
the early chemical evolution of the Galaxy. We construct the merging history of
our Galaxy semi-analytically and derive the metallicity distribution function
(MDF) of low-mass EMP stars that survive to date with taking into account the
contribution of binary systems. It is shown that the resultant MDF can well
reproduce the observed distribution of EMP survivors, and, in particular, that
they almost all stem from a less-mass companion in binary systems. We also
investigate how first stars affect the MDF of EMP stars.
| astro-ph | we discuss the star formation history of the galaxy based on the observations of extremely metalpoor stars emp in the galactic halo to gain an insight into the evolution and structure formation in the early universe the initialmass function imf of emp stars is derived from the observed fraction of carbonenhanced exp cemp stars among the emp survivors which are thought to originate from the evolution in the close binary systems with mass transfer relying upon the theory of the evolution of emp stars and of their binary evolution we find that stars of metallicity feh25 were formed at typical mass of 10m_sun the top heavy imf thus obtained is applied to study the early chemical evolution of the galaxy we construct the merging history of our galaxy semianalytically and derive the metallicity distribution function mdf of lowmass emp stars that survive to date with taking into account the contribution of binary systems it is shown that the resultant mdf can well reproduce the observed distribution of emp survivors and in particular that they almost all stem from a lessmass companion in binary systems we also investigate how first stars affect the mdf of emp stars | [['we', 'discuss', 'the', 'star', 'formation', 'history', 'of', 'the', 'galaxy', 'based', 'on', 'the', 'observations', 'of', 'extremely', 'metalpoor', 'stars', 'emp', 'in', 'the', 'galactic', 'halo', 'to', 'gain', 'an', 'insight', 'into', 'the', 'evolution', 'and', 'structure', 'formation', 'in', 'the', 'early', 'universe', 'the', 'initialmass', 'function', 'imf', 'of', 'emp', 'stars', 'is', 'derived', 'from', 'the', 'observed', 'fraction', 'of', 'carbonenhanced', 'exp', 'cemp', 'stars', 'among', 'the', 'emp', 'survivors', 'which', 'are', 'thought', 'to', 'originate', 'from', 'the', 'evolution', 'in', 'the', 'close', 'binary', 'systems', 'with', 'mass', 'transfer', 'relying', 'upon', 'the', 'theory', 'of', 'the', 'evolution', 'of', 'emp', 'stars', 'and', 'of', 'their', 'binary', 'evolution', 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0.3090216562151909, 0.24089138009107838, 0.09218298426459137, -0.3216646597971423, 0.14320581515486805, -0.0214236810660133] |
710.4375 | Bergman kernels and equilibrium measures for line bundles over
projective manifolds | Let L be a holomorphic line bundle over a compact complex projective
Hermitian manifold X. Any fixed smooth hermitian metric h on L induces a
Hilbert space structure on the space of global holomorphic sections with values
in the k th tensor power of L. In this paper various convergence results are
obtained for the corresponding Bergman kernels (i.e. orthogonal projection
kernels). The convergence is studied in the large k limit and is expressed in
terms of the equilibrium metric h_e associated to h, as well as in terms of the
Monge-Ampere measure of h on a certain support set. It is also shown that the
equilibrium metric h_e is in the class C^{1,1} on the complement of the
augmented base locus of L. For L ample these results give generalizations of
well-known results concerning the case when the curvature of h is globally
positive (then h_e=h). In general, the results can be seen as local metrized
versions of Fujita's approximation theorem for the volume of L.
| math.CV math.DG | let l be a holomorphic line bundle over a compact complex projective hermitian manifold x any fixed smooth hermitian metric h on l induces a hilbert space structure on the space of global holomorphic sections with values in the k th tensor power of l in this paper various convergence results are obtained for the corresponding bergman kernels ie orthogonal projection kernels the convergence is studied in the large k limit and is expressed in terms of the equilibrium metric h_e associated to h as well as in terms of the mongeampere measure of h on a certain support set it is also shown that the equilibrium metric h_e is in the class c11 on the complement of the augmented base locus of l for l ample these results give generalizations of wellknown results concerning the case when the curvature of h is globally positive then h_eh in general the results can be seen as local metrized versions of fujitas approximation theorem for the volume of l | [['let', 'l', 'be', 'a', 'holomorphic', 'line', 'bundle', 'over', 'a', 'compact', 'complex', 'projective', 'hermitian', 'manifold', 'x', 'any', 'fixed', 'smooth', 'hermitian', 'metric', 'h', 'on', 'l', 'induces', 'a', 'hilbert', 'space', 'structure', 'on', 'the', 'space', 'of', 'global', 'holomorphic', 'sections', 'with', 'values', 'in', 'the', 'k', 'th', 'tensor', 'power', 'of', 'l', 'in', 'this', 'paper', 'various', 'convergence', 'results', 'are', 'obtained', 'for', 'the', 'corresponding', 'bergman', 'kernels', 'ie', 'orthogonal', 'projection', 'kernels', 'the', 'convergence', 'is', 'studied', 'in', 'the', 'large', 'k', 'limit', 'and', 'is', 'expressed', 'in', 'terms', 'of', 'the', 'equilibrium', 'metric', 'h_e', 'associated', 'to', 'h', 'as', 'well', 'as', 'in', 'terms', 'of', 'the', 'mongeampere', 'measure', 'of', 'h', 'on', 'a', 'certain', 'support', 'set', 'it', 'is', 'also', 'shown', 'that', 'the', 'equilibrium', 'metric', 'h_e', 'is', 'in', 'the', 'class', 'c11', 'on', 'the', 'complement', 'of', 'the', 'augmented', 'base', 'locus', 'of', 'l', 'for', 'l', 'ample', 'these', 'results', 'give', 'generalizations', 'of', 'wellknown', 'results', 'concerning', 'the', 'case', 'when', 'the', 'curvature', 'of', 'h', 'is', 'globally', 'positive', 'then', 'h_eh', 'in', 'general', 'the', 'results', 'can', 'be', 'seen', 'as', 'local', 'metrized', 'versions', 'of', 'fujitas', 'approximation', 'theorem', 'for', 'the', 'volume', 'of', 'l']] | [-0.17223819532973064, 0.05370143225138827, -0.039948013027658665, 0.05666455767588712, -0.06320026897157666, -0.11384887570313301, -0.0043842569772008224, 0.3417652301288333, -0.2773355762754758, -0.19782106836988445, 0.11144185355087428, -0.2504680431672338, -0.12550837040530988, 0.2100681693809309, -0.07051975644931355, 0.026236138620125606, 0.05511000840111176, 0.12098219780902188, -0.1105827905436843, -0.25230253796887037, 0.40603304198236173, 0.011893494295921311, 0.21877873938598008, 0.06941640449138022, 0.07979786575558674, -0.012359229909502957, -0.03042226088379162, 0.05501522439642787, -0.14563503719085907, 0.10487015977647739, 0.2714266594308597, 0.0977456916056304, 0.23507869633122247, -0.32033161351075734, -0.1794652572092432, 0.2011878844238369, 0.11383139129401275, -0.04033568194374464, 0.05439874431516706, -0.2719807636304141, 0.11286497901261122, -0.08684127863513373, -0.1565722452942282, -0.101588520947956, 0.06427736115552125, 0.03858498728508691, -0.27907672465999095, -0.0037053670856543445, 0.11949267347851004, 0.07745433834392622, -0.06466132406347308, -0.14211651659781024, -0.07602412274166245, 0.038431125016446806, 0.0054682620074487775, 0.11105465675993116, 0.09762239995895021, -0.05801063125913806, -0.07770512001981666, 0.37245240098381616, -0.14913214436495195, -0.2640548806584227, 0.13054131724905357, -0.16923962253095381, -0.11218314865009343, 0.13941220285830996, 0.14649796155169156, 0.1662420472999788, -0.03453151775176527, 0.23139781639343185, -0.12078369619796075, 0.04985630423313074, 0.08160268695161016, 0.02070732602845395, 0.10496357709438686, 0.08197077185600009, 0.14315600959718766, 0.1192808051082356, -0.026689087192903846, -0.09010598941212408, -0.38612407030809826, -0.2016426131622978, -0.17399154774317271, 0.14881716534517794, -0.15119082115144197, -0.17914125242558762, 0.35460178407907755, 0.006158926549468593, 0.2670570361846637, 0.09532943242566144, 0.221173932060532, 0.10792625955937511, 0.04065349983424509, 0.08786730130247951, 0.16065669036189834, 0.22039242677884288, 0.057026509955070956, -0.16726899355599456, 0.015436857105625501, 0.15490957465673605] |
710.4376 | Castelnuovo-Mumford regularity and reduction number of smooth monomial
curves | We compare, for smooth monomial projective curves, the Castel- nuovo-Mumford
regularity and the reduction number; we present an example where these two
numbers differ. However, we show they coin- cide for a certain class of
monomial curves. Furthermore, for smooth monomial curves we prove an inequality
which is stronger than the one from the Eisenbud-Goto conjecture.
| math.AC | we compare for smooth monomial projective curves the castel nuovomumford regularity and the reduction number we present an example where these two numbers differ however we show they coin cide for a certain class of monomial curves furthermore for smooth monomial curves we prove an inequality which is stronger than the one from the eisenbudgoto conjecture | [['we', 'compare', 'for', 'smooth', 'monomial', 'projective', 'curves', 'the', 'castel', 'nuovomumford', 'regularity', 'and', 'the', 'reduction', 'number', 'we', 'present', 'an', 'example', 'where', 'these', 'two', 'numbers', 'differ', 'however', 'we', 'show', 'they', 'coin', 'cide', 'for', 'a', 'certain', 'class', 'of', 'monomial', 'curves', 'furthermore', 'for', 'smooth', 'monomial', 'curves', 'we', 'prove', 'an', 'inequality', 'which', 'is', 'stronger', 'than', 'the', 'one', 'from', 'the', 'eisenbudgoto', 'conjecture']] | [-0.1740438721522137, 0.0696822084466004, -0.0769091736421817, 0.10865717758295229, -0.0622708436222402, -0.19780806194197526, -0.046823206034282014, 0.35243267600459083, -0.3202985139494693, -0.21326417089612396, 0.09713996434153092, -0.2623534823155583, -0.1501797371785398, 0.30888422105582086, -0.1505109061556006, 0.017081559394244796, 0.040248201970286945, 0.02986780157381738, -0.09273451263800746, -0.3638849752023816, 0.3987699165526364, -0.10831364811639543, 0.21493293243218903, 0.025654124837644673, 0.06783505329103381, 0.01352596464049485, 0.029182087957721065, 0.013164323750296953, -0.20419472971655153, 0.13929144632830112, 0.21437976198891798, 0.1295807428649385, 0.20798156372512933, -0.4066449793193627, -0.139758992530578, 0.2751746532438254, 0.09689213632157555, 0.1082441507454927, -0.0409558494316621, -0.15901281470777812, 0.08083840525122704, -0.11721988061132531, -0.21060037837122325, -0.10268563173573327, 0.013173711693121327, 0.043747450783417595, -0.29164970309163135, 0.014953448592374722, 0.09969989872641033, 0.17271701919121873, -0.051516938506177175, -0.09600075504190668, -0.06160944754568239, 0.00842105930119201, -0.010929450793709192, 0.010783686561303006, 0.007714851595530355, -0.14562807705563804, -0.09117878416415166, 0.3427834179666307, -0.05165208418798607, -0.18129387860514085, 0.12026622507686692, -0.17429556868349513, -0.17195031553058437, 0.08773103323592632, 0.07327981986519363, 0.179305007715744, -0.009090370166598371, 0.06074447047581931, -0.140702123464844, 0.09717233903292152, 0.1280981098232722, 0.009980374257321711, 0.09526022908243316, 0.022599964221525524, 0.11111915482346106, 0.1717990138115258, -0.05200505732662148, -0.04577411529263137, -0.363852538306404, -0.20964333725472292, -0.14200664132281585, 0.1444269167949204, -0.16535278804642278, -0.14259562475813758, 0.40321544747523685, 0.10017132631468552, 0.21018192494078972, 0.17661616066686325, 0.21447192498103337, 0.09432976996457135, -0.017908609989616606, 0.08492879704917194, 0.20984255832930407, 0.09214644853232636, -0.014061493712856813, -0.12575137967467998, 0.023824088335796086, 0.14390253323923657] |
710.4377 | Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2
Supersymmetry II | We consider the matter induced part of the effective superpotential of N=2,
U(N) gauge model in which N=2 supersymmetry is spontaneously broken to N=1, by
using the properties of the chiral ring and the generalized Konishi anomaly
equations derived in our previous paper arXiv:0704.1060. It is shown that the
effective superpotential is related to the planar free energy of the matrix
model by a formula which consists of two parts -- the well-known part due to
Dijkgraaf-Vafa and the part that acts as a deformation of the couplings. These
couplings are those of the original bare prepotential in the action and at the
same time matrix model couplings.
| hep-th | we consider the matter induced part of the effective superpotential of n2 un gauge model in which n2 supersymmetry is spontaneously broken to n1 by using the properties of the chiral ring and the generalized konishi anomaly equations derived in our previous paper arxiv07041060 it is shown that the effective superpotential is related to the planar free energy of the matrix model by a formula which consists of two parts the wellknown part due to dijkgraafvafa and the part that acts as a deformation of the couplings these couplings are those of the original bare prepotential in the action and at the same time matrix model couplings | [['we', 'consider', 'the', 'matter', 'induced', 'part', 'of', 'the', 'effective', 'superpotential', 'of', 'n2', 'un', 'gauge', 'model', 'in', 'which', 'n2', 'supersymmetry', 'is', 'spontaneously', 'broken', 'to', 'n1', 'by', 'using', 'the', 'properties', 'of', 'the', 'chiral', 'ring', 'and', 'the', 'generalized', 'konishi', 'anomaly', 'equations', 'derived', 'in', 'our', 'previous', 'paper', 'arxiv07041060', 'it', 'is', 'shown', 'that', 'the', 'effective', 'superpotential', 'is', 'related', 'to', 'the', 'planar', 'free', 'energy', 'of', 'the', 'matrix', 'model', 'by', 'a', 'formula', 'which', 'consists', 'of', 'two', 'parts', 'the', 'wellknown', 'part', 'due', 'to', 'dijkgraafvafa', 'and', 'the', 'part', 'that', 'acts', 'as', 'a', 'deformation', 'of', 'the', 'couplings', 'these', 'couplings', 'are', 'those', 'of', 'the', 'original', 'bare', 'prepotential', 'in', 'the', 'action', 'and', 'at', 'the', 'same', 'time', 'matrix', 'model', 'couplings']] | [-0.13574945283416695, 0.16428887563810315, -0.043847840015209756, 0.0490044802943473, -0.050214478948135986, -0.10864412657178517, -0.05107250307875527, 0.2779252901849038, -0.2380689399598061, -0.3017152287768868, 0.08751608245623878, -0.28164403472658034, -0.20359636959180516, 0.06452883866325654, -0.012094379437841335, 0.02610367376391363, -0.039251282973707, 0.09562920752631605, -0.05274540240841232, -0.2590071900060207, 0.3417969489259259, 0.004987950084230177, 0.25253446262663687, 0.05724291927356905, 0.10462312286451705, 0.007960286498825365, 0.014128400786024219, -0.0330860237503108, -0.07518104724830373, 0.12358829157672963, 0.19396508598638662, 0.015026231318325648, 0.11982919025357883, -0.4182124845859296, -0.18314011795786736, 0.0944233192394505, 0.12215476879797313, 0.11771120661474273, -0.008564356029174238, -0.2657693713631059, 0.05788966031296987, -0.17968222419599528, -0.16733052846118984, -0.047064026207048096, 0.002060342386786668, -0.0880858167821436, -0.2923086014716833, 0.08026763337679682, 0.049383807259629355, -0.01451401108928587, -0.044166753155328684, -0.11796128887788586, -0.08987840391335271, 0.0994111299163328, 0.11316387752018306, 0.031962228873041724, 0.11681234400350389, -0.18962500822501924, -0.0762407724363378, 0.41451486010315286, -0.1042817945258235, -0.2162377113423679, 0.1411334857133762, -0.10894742557111214, -0.1510325944103863, 0.10972601869626779, 0.08554540059687395, 0.14694252997232637, -0.1446602516983337, 0.22147481276857983, -0.04110858897801559, 0.12653059412105852, 0.04531248165118807, -0.01514351569590563, 0.1774200306291569, 0.09005595390621204, 0.039263884171476714, 0.14367295574959157, -0.0006596815754782479, -0.11224333894931061, -0.38487193046713175, -0.1255360296400229, -0.17806317066808916, 0.05931546030355231, -0.09218201573176489, -0.12776497906191442, 0.4373940026106418, 0.12361028870427103, 0.21223302840536354, 0.045980958085735595, 0.24724362395211774, 0.14171729584329956, 0.1417860348663899, 0.005708049484177159, 0.25089226778649354, 0.1469491228850049, 0.05916155405992748, -0.2683509362955964, -0.05357484038444763, 0.1866749694289745] |
710.4378 | On The Pomeron at Large 't Hooft Coupling | We begin the process of unitarizing the Pomeron at large 't Hooft coupling.
We do so first in the conformal regime, which applies to good accuracy to a
number of real and toy problems in QCD. We rewrite the conformal Pomeron in the
$J$-plane and transverse position space, and then work out the eikonal
approximation to multiple Pomeron exchange. This is done in the context of a
more general treatment of the complex $J$-plane and the geometric consequences
of conformal invariance. The methods required are direct generalizations of our
previous work on single Pomeron exchange and on multiple graviton exchange in
AdS space, and should form a starting point for other investigations. We
consider unitarity and saturation in the conformal regime, noting elastic and
absorptive effects, and exploring where different processes dominate. Our
methods extend to confining theories and we briefly consider the Pomeron kernel
in this context. Though there is important model dependence that requires
detailed consideration, the eikonal approximation indicates that the Froissart
bound is generically both satisfied and saturated.
| hep-th | we begin the process of unitarizing the pomeron at large t hooft coupling we do so first in the conformal regime which applies to good accuracy to a number of real and toy problems in qcd we rewrite the conformal pomeron in the jplane and transverse position space and then work out the eikonal approximation to multiple pomeron exchange this is done in the context of a more general treatment of the complex jplane and the geometric consequences of conformal invariance the methods required are direct generalizations of our previous work on single pomeron exchange and on multiple graviton exchange in ads space and should form a starting point for other investigations we consider unitarity and saturation in the conformal regime noting elastic and absorptive effects and exploring where different processes dominate our methods extend to confining theories and we briefly consider the pomeron kernel in this context though there is important model dependence that requires detailed consideration the eikonal approximation indicates that the froissart bound is generically both satisfied and saturated | [['we', 'begin', 'the', 'process', 'of', 'unitarizing', 'the', 'pomeron', 'at', 'large', 't', 'hooft', 'coupling', 'we', 'do', 'so', 'first', 'in', 'the', 'conformal', 'regime', 'which', 'applies', 'to', 'good', 'accuracy', 'to', 'a', 'number', 'of', 'real', 'and', 'toy', 'problems', 'in', 'qcd', 'we', 'rewrite', 'the', 'conformal', 'pomeron', 'in', 'the', 'jplane', 'and', 'transverse', 'position', 'space', 'and', 'then', 'work', 'out', 'the', 'eikonal', 'approximation', 'to', 'multiple', 'pomeron', 'exchange', 'this', 'is', 'done', 'in', 'the', 'context', 'of', 'a', 'more', 'general', 'treatment', 'of', 'the', 'complex', 'jplane', 'and', 'the', 'geometric', 'consequences', 'of', 'conformal', 'invariance', 'the', 'methods', 'required', 'are', 'direct', 'generalizations', 'of', 'our', 'previous', 'work', 'on', 'single', 'pomeron', 'exchange', 'and', 'on', 'multiple', 'graviton', 'exchange', 'in', 'ads', 'space', 'and', 'should', 'form', 'a', 'starting', 'point', 'for', 'other', 'investigations', 'we', 'consider', 'unitarity', 'and', 'saturation', 'in', 'the', 'conformal', 'regime', 'noting', 'elastic', 'and', 'absorptive', 'effects', 'and', 'exploring', 'where', 'different', 'processes', 'dominate', 'our', 'methods', 'extend', 'to', 'confining', 'theories', 'and', 'we', 'briefly', 'consider', 'the', 'pomeron', 'kernel', 'in', 'this', 'context', 'though', 'there', 'is', 'important', 'model', 'dependence', 'that', 'requires', 'detailed', 'consideration', 'the', 'eikonal', 'approximation', 'indicates', 'that', 'the', 'froissart', 'bound', 'is', 'generically', 'both', 'satisfied', 'and', 'saturated']] | [-0.11982171574734736, 0.1334543620766855, -0.10093141856960693, 0.12769697722138137, -0.11802297928451755, -0.12796374289102333, 0.04347899058958256, 0.3424525861411767, -0.21742273373448096, -0.22993414527411724, 0.035405109712290904, -0.2808219599414029, -0.14997744388596781, 0.13414911200701216, 0.0029161277600715674, 0.05886257730077866, 0.03586073413756568, 0.03106262577903392, -0.05227845769272684, -0.23007664252559892, 0.3670163813702286, 0.03163034841418266, 0.25151430780804435, 0.13845387435325984, 0.08324854851830317, 0.10377440522262436, -0.029630942557137028, 0.01753590996126742, -0.13190270473324048, 0.08577000449408949, 0.2446810943615991, 0.03545721553856247, 0.20114177978207726, -0.42908709081496266, -0.19957248798333282, 0.07914202976809424, 0.17093240302380955, 0.11309623721375152, 0.0260623079520037, -0.22558582628275767, 0.052586007394914536, -0.16067253066183523, -0.12500196739998753, -0.11071287231454842, -0.024914809332099244, -0.06575819698356247, -0.2934504255711989, 0.05124851143621125, 0.06466266140612492, 0.0006103038159740525, -0.042207415845802836, -0.09501528139375041, -0.0051966883921670875, 0.09199187155206535, 0.10068746237338082, 0.05702887357992315, 0.1139050142725843, -0.17579444051655227, -0.10740812644795623, 0.3721484065185799, -0.04620560275683136, -0.20930646304149442, 0.1705004339739897, -0.1857054042900631, -0.20124140924091863, 0.0830330005549111, 0.14969986863975782, 0.1430988535122556, -0.1334037100706726, 0.1785675028929904, 0.001778539759513034, 0.10930146970112706, 0.08534499070184781, 0.027278668821456322, 0.18173896423595157, 0.1552406727596251, -0.0033199028084920936, 0.13278761124380506, -0.03303075652179677, -0.15665853822733775, -0.395310561514465, -0.10573298503072164, -0.12958522610702053, 0.0434871917444303, -0.12701904233692277, -0.14112079126467972, 0.3252661098079041, 0.14266985598890664, 0.2030218618672861, 0.05399406376920186, 0.2907761543512691, 0.1270557359801091, 0.06137757274852849, 0.06879421410984685, 0.27476970912607085, 0.12454743789804038, 0.13234606937526963, -0.23353963072931525, -0.019851643730193203, 0.08665976679050039] |
710.4379 | Chemical freeze-out temperature in hydrodynamical description of Au+Au
collisions at sqrt(s_NN) = 200 GeV | We study the effect of separate chemical and kinetic freeze-outs to the ideal
hydrodynamical flow in Au+Au collisions at RHIC (sqrt(s_NN) = 200 GeV energy).
Unlike in earlier studies we explore how these effects can be counteracted by
changes in the initial state of the hydrodynamical evolution. We conclude that
the reproduction of pion, proton and antiproton yields necessitates a chemical
freeze-out temperature of T = 150 MeV instead of T = 160 - 170 MeV motivated by
thermal models. Unlike previously reported, this lower temperature makes it
possible to reproduce the p_T-spectra of hadrons if one assumes very small
initial time, tau_0 = 0.2 fm/c. However, the p_T-differential elliptic flow,
v_2(p_T) remains badly reproduced. This points to the need to include
dissipative effects (viscosity) or some other refinement to the model.
| nucl-th hep-ph nucl-ex | we study the effect of separate chemical and kinetic freezeouts to the ideal hydrodynamical flow in auau collisions at rhic sqrts_nn 200 gev energy unlike in earlier studies we explore how these effects can be counteracted by changes in the initial state of the hydrodynamical evolution we conclude that the reproduction of pion proton and antiproton yields necessitates a chemical freezeout temperature of t 150 mev instead of t 160 170 mev motivated by thermal models unlike previously reported this lower temperature makes it possible to reproduce the p_tspectra of hadrons if one assumes very small initial time tau_0 02 fmc however the p_tdifferential elliptic flow v_2p_t remains badly reproduced this points to the need to include dissipative effects viscosity or some other refinement to the model | [['we', 'study', 'the', 'effect', 'of', 'separate', 'chemical', 'and', 'kinetic', 'freezeouts', 'to', 'the', 'ideal', 'hydrodynamical', 'flow', 'in', 'auau', 'collisions', 'at', 'rhic', 'sqrts_nn', '200', 'gev', 'energy', 'unlike', 'in', 'earlier', 'studies', 'we', 'explore', 'how', 'these', 'effects', 'can', 'be', 'counteracted', 'by', 'changes', 'in', 'the', 'initial', 'state', 'of', 'the', 'hydrodynamical', 'evolution', 'we', 'conclude', 'that', 'the', 'reproduction', 'of', 'pion', 'proton', 'and', 'antiproton', 'yields', 'necessitates', 'a', 'chemical', 'freezeout', 'temperature', 'of', 't', '150', 'mev', 'instead', 'of', 't', '160', '170', 'mev', 'motivated', 'by', 'thermal', 'models', 'unlike', 'previously', 'reported', 'this', 'lower', 'temperature', 'makes', 'it', 'possible', 'to', 'reproduce', 'the', 'p_tspectra', 'of', 'hadrons', 'if', 'one', 'assumes', 'very', 'small', 'initial', 'time', 'tau_0', '02', 'fmc', 'however', 'the', 'p_tdifferential', 'elliptic', 'flow', 'v_2p_t', 'remains', 'badly', 'reproduced', 'this', 'points', 'to', 'the', 'need', 'to', 'include', 'dissipative', 'effects', 'viscosity', 'or', 'some', 'other', 'refinement', 'to', 'the', 'model']] | [-0.08619839585510881, 0.2476086368505645, -0.14527205227118895, 0.10963094193583692, -0.027037831777285082, -0.1154093803286985, -0.0028167886303840425, 0.3467231654804053, -0.24451831456889786, -0.3318158012088828, -0.02053778843979872, -0.31630156709863916, 0.07855999679688509, 0.14802003307561354, 0.020922377241287732, 0.06968343007840275, 0.09415923397049425, -0.005188977681320366, -0.05551946959430792, -0.21475436201861758, 0.30844081149759195, 0.11995797733387609, 0.20447006966830708, 0.15126920568456095, 0.04154217724989014, -0.027198876510007585, -0.027869690818286788, -0.002202413961525977, -0.1944902286176523, -0.022649052642883024, 0.24521504351484802, 0.010756300204968828, 0.184489490354331, -0.3937437997060263, -0.2453420772180548, 0.13287191524621333, 0.11679202340374606, 0.12115114570345993, -0.03407954342853953, -0.16536550509457396, 0.0917266078483988, -0.20325474053855955, -0.17918126789603647, -0.055618844609194265, 0.012645691882554941, 0.014784958603146566, -0.26887721585945823, 0.1745401853988842, 0.01711383728424131, 0.07604404438404351, -0.06912698817813373, -0.1974212296277754, -0.07915573790816106, 0.016631208545359686, 0.0752872075825035, 0.082469716492131, 0.19722699512925557, -0.1082740581867571, -0.05942370991156561, 0.4268027970083351, -0.04194153157359825, -0.10222702433619149, 0.20539647471948022, -0.19438039742439517, -0.11580593282664854, 0.15825328663519517, 0.14843786959939703, 0.09421071981805867, -0.17041856732850116, 0.019979497578222392, -0.011111699110703675, 0.19039138257466842, 0.09793168061420204, -0.01316699037772024, 0.1750023688270351, 0.18501376879848833, -0.018286168283790233, 0.07962222844563924, -0.09258206936303438, -0.09483006581211258, -0.315037102911504, -0.05763185543638808, -0.11401139626528804, 0.10245030070471717, -0.08642327465556056, -0.068963200323225, 0.3547686815672503, 0.19454076487981664, 0.289048437403119, -0.012077915259475607, 0.29876670577218684, 0.05773536388498298, 0.060351708773743566, 0.11813471277838382, 0.2695209547470775, 0.12947735101842564, 0.23072639497741323, -0.27068662636099367, 0.05145435409224409, 0.03309089751312817] |
710.438 | Studies of penguin dominated B decays | We present measurements on penguin dominated B decays which are sensitive to
new physics, such as CP-violation parameters and branching fractions in $b \to
s q\bar{q}$ and $b \to d q\bar{q}$ gluonic and radiative decays using a large
sample of $B\bar{B}$ pairs recorded at the $\Upsilon(4S)$ resonance with the
Belle detector at the KEKB asymmetric energy $e^+e^-$ collider.
| hep-ex | we present measurements on penguin dominated b decays which are sensitive to new physics such as cpviolation parameters and branching fractions in b to s qbarq and b to d qbarq gluonic and radiative decays using a large sample of bbarb pairs recorded at the upsilon4s resonance with the belle detector at the kekb asymmetric energy ee collider | [['we', 'present', 'measurements', 'on', 'penguin', 'dominated', 'b', 'decays', 'which', 'are', 'sensitive', 'to', 'new', 'physics', 'such', 'as', 'cpviolation', 'parameters', 'and', 'branching', 'fractions', 'in', 'b', 'to', 's', 'qbarq', 'and', 'b', 'to', 'd', 'qbarq', 'gluonic', 'and', 'radiative', 'decays', 'using', 'a', 'large', 'sample', 'of', 'bbarb', 'pairs', 'recorded', 'at', 'the', 'upsilon4s', 'resonance', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetric', 'energy', 'ee', 'collider']] | [-0.04154086576730559, 0.2705778833639262, -0.02707271307610489, 0.10486424896577053, -0.09118250476453325, -0.1857263949651528, 0.0808167396843883, 0.26590389372973605, -0.1542925468870792, -0.2469885879164112, -0.09046258369725647, -0.4493113458798877, 0.10708454607761111, 0.12404782501258084, 0.1511123971130442, 0.13134105590268455, 0.17258616008570996, -0.014457723896565109, -0.0009521096061658243, -0.18172979598929143, 0.20335892709935532, 0.04011587562553327, 0.15721108151824567, 0.11077303176039252, -0.02500988504496114, -0.003260290623514046, -0.05568909641066245, -0.08573323012939815, -0.14485638789182273, -0.011759456261141419, 0.24029331620188493, 0.14784002377137798, 0.08114804052908359, -0.31648439040409043, 0.06665966561834874, 0.20701742255739097, 0.16950796086919204, 0.031707291914840584, -0.02943957829847932, -0.4440087228371152, 0.1591046403868702, -0.20079789712125884, -0.01091149238998006, -0.05005302871898588, 0.07689853709448001, -0.12022847826753197, -0.4562579712605682, 0.07834632184902399, -0.11668771919633808, 0.06895008063393421, 0.04935069198334782, -0.2883467036781126, -0.04820596857462078, -0.06736189121348334, 0.03790203332579855, 0.07933674044585948, 0.25583333430554844, -0.14575645423911768, -0.18498164616075569, 0.3497577261757748, -0.10786736203515139, -0.09238748168893929, 0.23620532584729895, -0.28274083822355445, -0.09982627863064408, 0.2006337668361335, 0.3399542722016059, 0.029118187452570117, -0.20783295516117378, 0.1480467552208775, 0.03388571185220418, 0.09490538719270764, 0.10130641918533065, 0.13710498466991403, 0.18228770622277055, 0.2193142288075439, -0.0018465975941769008, 0.07560250609671569, -0.1358489424455911, 0.002773102340770179, -0.48172098678207537, -0.0734354554643405, -0.09699109941720963, 0.09703507751290655, 0.0652198299114765, -0.0812644238326827, 0.36729726538961305, 0.009066033157006163, 0.359921397239869, -0.05804886509752672, 0.3016219342384359, 0.059141338076281906, 0.07305969157133749, 0.08605274200466549, 0.2933090615953351, 0.18295419241847663, 0.1731744841271048, -0.3537669600597743, -0.0015602041405208152, -0.007479793881869008] |
710.4381 | Solution and Asymptotic Behavior for a Nonlocal Coupled System of
Reaction-Diffusion | This paper concerns with existence, uniqueness and asymptotic behavior of the
solutions for a nonlocal coupled system of reaction-diffusion. We prove the
existence and uniqueness of weak solutions by the Faedo-Galerkin method and
exponential decay of solutions by the classic energy method. We improve the
results obtained by Chipot-Lovato and Menezes for coupled systems. A numerical
scheme is presented.
| math.AP | this paper concerns with existence uniqueness and asymptotic behavior of the solutions for a nonlocal coupled system of reactiondiffusion we prove the existence and uniqueness of weak solutions by the faedogalerkin method and exponential decay of solutions by the classic energy method we improve the results obtained by chipotlovato and menezes for coupled systems a numerical scheme is presented | [['this', 'paper', 'concerns', 'with', 'existence', 'uniqueness', 'and', 'asymptotic', 'behavior', 'of', 'the', 'solutions', 'for', 'a', 'nonlocal', 'coupled', 'system', 'of', 'reactiondiffusion', 'we', 'prove', 'the', 'existence', 'and', 'uniqueness', 'of', 'weak', 'solutions', 'by', 'the', 'faedogalerkin', 'method', 'and', 'exponential', 'decay', 'of', 'solutions', 'by', 'the', 'classic', 'energy', 'method', 'we', 'improve', 'the', 'results', 'obtained', 'by', 'chipotlovato', 'and', 'menezes', 'for', 'coupled', 'systems', 'a', 'numerical', 'scheme', 'is', 'presented']] | [-0.14857700801101223, -0.0067650485093352095, -0.08369111561152184, 0.043977106696572794, -0.009136273204509554, -0.14609994418148337, 0.03561232359638309, 0.2444224508222321, -0.24950402538324223, -0.2567866630370504, 0.15765989172384784, -0.28173335583816317, -0.16384978749957899, 0.19614971711717802, -0.019809120752174277, 0.14027803928334395, 0.1142071595752676, -0.024366168148719287, -0.04083712056182839, -0.2184537398500432, 0.3882198265657343, -0.018661547773357094, 0.2672709597852723, 0.07405069756225266, 0.1379864151461114, -0.020807750603376793, -0.005164935697143063, 0.03826344482086856, -0.20809025015553523, 0.1349142358823005, 0.17969391989553796, 0.09043088424870552, 0.3016310749768183, -0.3928298878579818, -0.1925466226028471, 0.1008106371034579, 0.15404147002846003, 0.1183382924806712, -0.10775120434720584, -0.34055133420845557, 0.1541390704183743, -0.13542118281575627, -0.25186357392672576, -0.1077297458360935, -0.05017462815960933, 0.15047237427568, -0.3129508415044382, 0.15044439356003342, 0.108823891536429, 0.0075909446940982134, -0.15724268138151745, -0.02730462201349116, 0.035404992466471316, 0.05417439092657175, 0.09926794645585248, -0.06115040916082417, -0.011240952951303715, -0.11321811734875344, -0.14127668966378631, 0.3025491860663069, -0.14087687618629044, -0.2518455670696908, 0.20553625189570773, -0.060502202430707884, -0.0855248366996389, 0.13108044837055535, 0.13928422964467058, 0.19027244455405865, -0.17047357209155273, 0.12402397780759453, -0.048366270726546645, 0.14034088373842551, 0.05589187313834655, 0.023687098416146534, 0.08196694148575952, 0.19550315089371248, 0.11034433596671142, 0.1591065325332677, 0.02295618370207476, -0.10328153506370968, -0.31963930487359776, -0.1488106801286982, -0.12519471193182058, 0.06282737946683734, -0.08151940493904665, -0.14064515314610868, 0.4130565795290624, 0.13130090796741947, 0.119762204442944, 0.10020178668441829, 0.25058059721928216, 0.17288190052555552, -0.05734311142968464, 0.07280021667285272, 0.2575239935440236, 0.18087162666327866, 0.1672454265122912, -0.29140503064665046, 0.02984533424224255, 0.18037775893502966] |
710.4382 | Isotopies of Legendrian 1-knots and Legendrian 2-tori | We construct a Legendrian 2-torus in the 1-jet space of $S^1\times\R$ (or of
$\R^2$) from a loop of Legendrian knots in the 1-jet space of $\R$. The
differential graded algebra (DGA) for the Legendrian contact homology of the
torus is explicitly computed in terms of the DGA of the knot and the monodromy
operator of the loop. The contact homology of the torus is shown to depend only
on the chain homotopy type of the monodromy operator. The construction leads to
many new examples of Legendrian knotted tori. In particular, it allows us to
construct a Legendrian torus with DGA which does not admit any augmentation
(linearization) but which still has non-trivial homology, as well as two
Legendrian tori with isomorphic linearized contact homologies but with distinct
contact homologies.
| math.SG | we construct a legendrian 2torus in the 1jet space of s1timesr or of r2 from a loop of legendrian knots in the 1jet space of r the differential graded algebra dga for the legendrian contact homology of the torus is explicitly computed in terms of the dga of the knot and the monodromy operator of the loop the contact homology of the torus is shown to depend only on the chain homotopy type of the monodromy operator the construction leads to many new examples of legendrian knotted tori in particular it allows us to construct a legendrian torus with dga which does not admit any augmentation linearization but which still has nontrivial homology as well as two legendrian tori with isomorphic linearized contact homologies but with distinct contact homologies | [['we', 'construct', 'a', 'legendrian', '2torus', 'in', 'the', '1jet', 'space', 'of', 's1timesr', 'or', 'of', 'r2', 'from', 'a', 'loop', 'of', 'legendrian', 'knots', 'in', 'the', '1jet', 'space', 'of', 'r', 'the', 'differential', 'graded', 'algebra', 'dga', 'for', 'the', 'legendrian', 'contact', 'homology', 'of', 'the', 'torus', 'is', 'explicitly', 'computed', 'in', 'terms', 'of', 'the', 'dga', 'of', 'the', 'knot', 'and', 'the', 'monodromy', 'operator', 'of', 'the', 'loop', 'the', 'contact', 'homology', 'of', 'the', 'torus', 'is', 'shown', 'to', 'depend', 'only', 'on', 'the', 'chain', 'homotopy', 'type', 'of', 'the', 'monodromy', 'operator', 'the', 'construction', 'leads', 'to', 'many', 'new', 'examples', 'of', 'legendrian', 'knotted', 'tori', 'in', 'particular', 'it', 'allows', 'us', 'to', 'construct', 'a', 'legendrian', 'torus', 'with', 'dga', 'which', 'does', 'not', 'admit', 'any', 'augmentation', 'linearization', 'but', 'which', 'still', 'has', 'nontrivial', 'homology', 'as', 'well', 'as', 'two', 'legendrian', 'tori', 'with', 'isomorphic', 'linearized', 'contact', 'homologies', 'but', 'with', 'distinct', 'contact', 'homologies']] | [-0.27187559091817093, 0.027539942471776158, -0.0849637314749998, 0.07138011372489927, -0.15045444773568306, -0.20156488215798163, -0.052681604817735206, 0.330128555156989, -0.32562090492865536, -0.24197818175889552, 0.08328863771021133, -0.22126861295521394, -0.17919463559701398, 0.17077819092628488, -0.17339771284605376, 0.008845456490234938, 0.12147746541450033, 0.1278683080963674, -0.10183776425765245, -0.21767288825503783, 0.455603956914274, -0.026856033688090974, 0.11733839088756781, 0.10912199371159659, 0.1541334837602335, -0.03809087909121445, -0.006296361176282517, 0.005957329382454191, -0.2131322413260932, 0.11114711964319213, 0.26684315924649127, -0.012637073148653144, 0.05371895918597147, -0.38262687503447523, -0.13888949702754871, 0.18971750483615324, 0.18067876120039728, -0.013393860413998482, 0.0660983025582027, -0.28395123384689214, 0.05767140015086625, -0.2040219764021458, -0.14525905018672347, -0.08623232087484212, 0.031195632385788485, 0.02812806036672555, -0.12273214877313876, -0.0385297956490831, 0.10694339227575256, 0.09571484520711238, -0.008272861396562803, -0.0047626509694964625, -0.14010310714547813, 0.14007324695012358, 0.02021478740243765, 0.10796850353654008, 0.13405961273019784, -0.12139015398497577, -0.1481446418770247, 0.38150088813563343, -0.0687768638927082, -0.30332976634963416, 0.1462080292403698, -0.1582468739579781, -0.21328076011923258, 0.2325583921992802, 0.007163857466366608, 0.14279123884625733, -0.03378220598278858, 0.19567062758096654, -0.10181872398243286, 0.0676205974395998, 0.0727421132105519, -0.06485358728969004, 0.14798355542302488, 0.08477508761097852, 0.11018745613955616, 0.14925060534733348, -0.04805370878420945, -0.1225556530553149, -0.347167068393901, -0.2637733385802221, -0.07568443367199507, 0.17601374443086115, -0.13479046779309556, -0.2659216887993807, 0.41441947765270015, 0.028592795338006738, 0.22248369927910971, 0.1535102240843571, 0.26172692479667603, 0.012002242567177746, 0.15338148416776676, 0.08285388047443121, 0.1705060255881108, 0.1874433160337503, -0.006571218033059267, -0.11965287538805569, -0.02592320996336639, 0.2898170873559138] |
710.4383 | Some matrices associated with the split decomposition for a Q-polynomial
distance-regular graph | We consider a $Q$-polynomial distance-regular graph $\Gamma$ with vertex set
$X$ and diameter $D \geq 3$. For $\mu, \nu \in \lbrace \downarrow, \uparrow
\rbrace$ we define a direct sum decomposition of the standard module $V=\C X$,
called the $(\mu,\nu)$--split decomposition. For this decomposition we compute
the complex conjugate and transpose of the associated primitive idempotents.
Now fix $b,\beta \in \mathbb C$ such that $b \neq 1$ and assume $\Gamma$ has
classical parameters $(D,b,\alpha,\beta)$ with $\alpha = b-1$. Under this
assumption Ito and Terwilliger displayed an action of the $q$-tetrahedron
algebra $\boxtimes_q$ on the standard module of $\Gamma$. To describe this
action they defined eight matrices in
$\hbox{Mat}_X(\mathbb C)$, called \begin{eqnarray*} \label{eq:list} A,\quad
A^*,\quad B,\quad B^*, \quad K,\quad K^*,\quad \Phi,\quad \Psi. \end{eqnarray*}
For each matrix in the above list we compute the transpose and complex
conjugate. Using this information we compute the transpose and complex
conjugate for each generator of $\boxtimes_q$ on $V$.
| math.CO | we consider a qpolynomial distanceregular graph gamma with vertex set x and diameter d geq 3 for mu nu in lbrace downarrow uparrow rbrace we define a direct sum decomposition of the standard module vc x called the munusplit decomposition for this decomposition we compute the complex conjugate and transpose of the associated primitive idempotents now fix bbeta in mathbb c such that b neq 1 and assume gamma has classical parameters dbalphabeta with alpha b1 under this assumption ito and terwilliger displayed an action of the qtetrahedron algebra boxtimes_q on the standard module of gamma to describe this action they defined eight matrices in hboxmat_xmathbb c called begineqnarray labeleqlist aquad aquad bquad b quad kquad kquad phiquad psi endeqnarray for each matrix in the above list we compute the transpose and complex conjugate using this information we compute the transpose and complex conjugate for each generator of boxtimes_q on v | [['we', 'consider', 'a', 'qpolynomial', 'distanceregular', 'graph', 'gamma', 'with', 'vertex', 'set', 'x', 'and', 'diameter', 'd', 'geq', '3', 'for', 'mu', 'nu', 'in', 'lbrace', 'downarrow', 'uparrow', 'rbrace', 'we', 'define', 'a', 'direct', 'sum', 'decomposition', 'of', 'the', 'standard', 'module', 'vc', 'x', 'called', 'the', 'munusplit', 'decomposition', 'for', 'this', 'decomposition', 'we', 'compute', 'the', 'complex', 'conjugate', 'and', 'transpose', 'of', 'the', 'associated', 'primitive', 'idempotents', 'now', 'fix', 'bbeta', 'in', 'mathbb', 'c', 'such', 'that', 'b', 'neq', '1', 'and', 'assume', 'gamma', 'has', 'classical', 'parameters', 'dbalphabeta', 'with', 'alpha', 'b1', 'under', 'this', 'assumption', 'ito', 'and', 'terwilliger', 'displayed', 'an', 'action', 'of', 'the', 'qtetrahedron', 'algebra', 'boxtimes_q', 'on', 'the', 'standard', 'module', 'of', 'gamma', 'to', 'describe', 'this', 'action', 'they', 'defined', 'eight', 'matrices', 'in', 'hboxmat_xmathbb', 'c', 'called', 'begineqnarray', 'labeleqlist', 'aquad', 'aquad', 'bquad', 'b', 'quad', 'kquad', 'kquad', 'phiquad', 'psi', 'endeqnarray', 'for', 'each', 'matrix', 'in', 'the', 'above', 'list', 'we', 'compute', 'the', 'transpose', 'and', 'complex', 'conjugate', 'using', 'this', 'information', 'we', 'compute', 'the', 'transpose', 'and', 'complex', 'conjugate', 'for', 'each', 'generator', 'of', 'boxtimes_q', 'on', 'v']] | [-0.15724988098013892, 0.10748981895997295, 0.014836054620626446, -0.00791174358024887, -0.06473517747837508, -0.19866394460614298, 0.009155026585986353, 0.3627232542669732, -0.3510053299673616, -0.14949847911229383, 0.07813282762032181, -0.31589960622001595, -0.11223268697567744, 0.09980958445342131, -0.06956201351298759, 0.008830967799390424, 0.028368188517187302, 0.12790883367256045, -0.09060633770901429, -0.16082755856360276, 0.3155855590043819, -0.09670973548104297, 0.14428837911213097, -0.0005798583219548661, 0.14322567276962817, 0.04271654975090227, -0.022440899863571236, -0.06493375639507726, -0.2213773862700467, 0.04247166323379856, 0.22099718306538943, 0.1580668155325988, 0.1809118530587038, -0.3023796761472237, -0.07546271805728033, 0.2125576040835107, 0.12379917791368414, -0.10592222945088495, 0.0179488497247205, -0.24970461393400312, 0.17296489390300598, -0.1849883150003136, -0.10273303201054111, -0.04906594211854398, 0.12907168345066578, -0.013905467892907662, -0.3648543343687915, 0.002791376388950707, 0.06520922030704988, 0.06712978697949638, 0.014901539575936885, -0.24235251860067963, -0.03321617310196927, 0.054147502983926656, -0.0784490614186985, 0.1115687194157532, 0.0789344717193497, -0.04473031779483267, -0.10303105669070596, 0.3621724802898626, -0.07175053520708613, -0.2534547658846076, 0.0993521712235596, -0.17951672748751837, -0.20863791690399386, 0.0862585057628864, 0.09628119733669374, 0.13508085407354958, -0.06151467174202306, 0.21849301618871547, -0.08926547652952475, 0.09803811300622478, 0.10594642250192646, -0.02722576840729644, 0.060293293538924354, 0.06152479652449336, 0.0765533653105456, 0.09663581917674778, -0.03326279493981704, 0.023437906869955054, -0.35343930208162494, -0.22779896935250304, -0.13507303972696655, 0.16301028654680982, -0.11424853561337629, -0.15919283541455254, 0.36495603523089565, 0.07225290921393922, 0.19835024926877637, 0.05070004389742517, 0.19668019304772813, 0.10308322722296795, 0.019801051468326877, 0.11113309645897722, 0.07375581584047934, 0.20605653431266546, 0.011198182016202849, -0.1958514889447044, -0.0169935486237965, 0.14393609854048245] |
710.4384 | Dark Matter, Dark Energy and Rotation Curves | Models for DM are invoked with various density distributions, to account for
flat rotation curves of galaxies. The effect of DE on these profiles for large
galaxies and clusters are also studied. The rotation curves are shown to dip at
a particular distance, when the effect of DE became significant.
| astro-ph | models for dm are invoked with various density distributions to account for flat rotation curves of galaxies the effect of de on these profiles for large galaxies and clusters are also studied the rotation curves are shown to dip at a particular distance when the effect of de became significant | [['models', 'for', 'dm', 'are', 'invoked', 'with', 'various', 'density', 'distributions', 'to', 'account', 'for', 'flat', 'rotation', 'curves', 'of', 'galaxies', 'the', 'effect', 'of', 'de', 'on', 'these', 'profiles', 'for', 'large', 'galaxies', 'and', 'clusters', 'are', 'also', 'studied', 'the', 'rotation', 'curves', 'are', 'shown', 'to', 'dip', 'at', 'a', 'particular', 'distance', 'when', 'the', 'effect', 'of', 'de', 'became', 'significant']] | [-0.10043628187617287, 0.12438103828579188, -0.1316949110571295, 0.1705967536009848, -0.073704595095478, -0.08055169415660203, -0.060454818047583105, 0.4097576539218426, -0.16376947773620487, -0.3663795737619512, 0.054301444198936226, -0.2866127687692642, -0.05895897816866636, 0.2603087853116449, -0.04021841755136848, 0.027600935492664576, -0.011703580040484668, -0.035633042715489865, -0.03687394788488746, -0.30906686090864244, 0.3567331138253212, 0.06821173751726746, 0.27573702946305273, -0.018152999896556138, 0.06443999487906694, -0.027546427259221674, -0.03693232850171626, 0.042519638501107695, -0.15144100626930596, 0.04318623243481852, 0.21132872785768997, 0.055890069445595145, 0.1589541596081108, -0.3894388636946678, -0.25530746856704356, 0.14550287466496228, 0.15575121426489205, 0.13517844267189502, -0.10619235790567473, -0.28201868750154974, 0.09465492518618702, -0.11582839971408249, -0.1378072802722454, -0.0032134697772562503, 0.11793981604278088, 0.05374285796657205, -0.19470148522406816, 0.127831147419638, 0.016538585461676122, 0.0838238669373095, -0.08705903154797852, -0.12951511096209287, -0.08075600828276946, 0.08727413832035381, 0.07939112097024918, -0.020404818980023266, 0.11711827352177352, -0.1142389920540154, -0.020963755548000337, 0.39314759833738205, -0.08216264798305929, -0.09509071264415979, 0.19330957241356372, -0.19165035773068667, -0.14552535879425704, 0.1001002913620323, 0.18524385091615841, 0.0995520196389407, -0.07707894477673108, 0.06136338753509335, 0.0394674349273555, 0.12114493064582348, 0.06529348935000598, 0.016725249774754047, 0.29964179046452044, 0.03493046543560922, 0.03768524369224906, 0.05295998685527593, -0.17703729897271842, -0.0868747555743903, -0.24851051285862924, -0.12006823539733887, -0.09282040970399975, -0.0023277427256107332, -0.1071282895092736, -0.1516627716476796, 0.3334833613038063, 0.031339571713469926, 0.2790771409496665, 0.07633939450606704, 0.254724316932261, 0.11666886216029525, 0.09858055640943349, 0.08506240347400308, 0.2718926640227437, 0.17187070444226266, 0.05482535072602332, -0.22048472732305527, 0.08316287026740611, -0.0500232071755454] |
710.4385 | Non-measurable automorphisms of Lie groups relative to the real- and
non-archimedean-valued measures | In this work the problem about an existence of non-measurable automorphisms
of Lie groups finite and as well infinite dimensional over the field of real
numbers and also over the non-archimedean local fields is investigated.
Non-measurability of automorphisms is considered relative to real-valued
measures and also measures with values in non-archimedean local fields. Their
existence is proved and a procedure for their construction is given. Their
application for a construction of non-measurable irreducible unitary
representations is demonstrated.
| math.FA math.AT | in this work the problem about an existence of nonmeasurable automorphisms of lie groups finite and as well infinite dimensional over the field of real numbers and also over the nonarchimedean local fields is investigated nonmeasurability of automorphisms is considered relative to realvalued measures and also measures with values in nonarchimedean local fields their existence is proved and a procedure for their construction is given their application for a construction of nonmeasurable irreducible unitary representations is demonstrated | [['in', 'this', 'work', 'the', 'problem', 'about', 'an', 'existence', 'of', 'nonmeasurable', 'automorphisms', 'of', 'lie', 'groups', 'finite', 'and', 'as', 'well', 'infinite', 'dimensional', 'over', 'the', 'field', 'of', 'real', 'numbers', 'and', 'also', 'over', 'the', 'nonarchimedean', 'local', 'fields', 'is', 'investigated', 'nonmeasurability', 'of', 'automorphisms', 'is', 'considered', 'relative', 'to', 'realvalued', 'measures', 'and', 'also', 'measures', 'with', 'values', 'in', 'nonarchimedean', 'local', 'fields', 'their', 'existence', 'is', 'proved', 'and', 'a', 'procedure', 'for', 'their', 'construction', 'is', 'given', 'their', 'application', 'for', 'a', 'construction', 'of', 'nonmeasurable', 'irreducible', 'unitary', 'representations', 'is', 'demonstrated']] | [-0.17135193943977356, 0.10066925870521484, -0.10739304434943509, 0.06215486716019449, -0.06439595280045812, -0.044547154241568084, 0.0009100104791003388, 0.3676271258139765, -0.2942800157969551, -0.23501040716353175, 0.12236530168961685, -0.22266634081962047, -0.1271313121935425, 0.23848498679165328, -0.10911226415305168, 0.0033551424353567933, -0.026274422455772564, 0.13850296990849176, -0.09082912574461721, -0.3297508064318787, 0.38503445003955783, 0.004302730687059365, 0.2455588907015498, 0.0571059998753783, 0.14887665110555562, 0.016847805449642338, -0.05747057849468736, 0.02103236239016443, -0.08901913223074531, 0.09904890838714148, 0.3276004216984495, 0.10247851792093995, 0.26491143941189854, -0.3264248593432176, -0.1731440146421929, 0.21246856752202495, 0.12325394956709503, 0.04945460985136497, -0.030008749189701946, -0.32321671914164124, 0.1198370012503069, -0.15753244042590067, -0.16599169397702465, -0.10723475605104264, 0.08505668061295549, 0.02677962960457647, -0.25752697247624784, 0.023297662924606256, 0.10425857468041388, 0.18594590627721377, -0.1399293513000979, -0.07713893469568196, -0.03973899292154842, 0.1110983644067854, 0.03480963418320692, 0.031201338201954767, 0.10197656703870986, -0.0914556964633377, -0.14087023673119484, 0.3597431360901176, -0.035762896192828554, -0.24499335307506964, 0.19483536634255538, -0.14368989044050504, -0.12356576825455799, 0.08403682232193359, 0.13580837781698285, 0.17039133238231208, -0.06449283482869725, 0.18799176224047778, -0.11544613907863567, 0.05174890600671, 0.0794803790941641, 0.030476038320014227, 0.14029604367694104, 0.07181532939823417, 0.12645105022767728, 0.126955405718272, 0.054679559664679814, -0.07259779679891351, -0.3427362215112556, -0.16926620076425591, -0.1716999062971974, 0.09709663635918073, -0.09832115255994722, -0.20758749555203726, 0.415616368318533, 0.10014000511652633, 0.1718072561402019, 0.11234236680358262, 0.2192277337678454, 0.10405628064907362, 0.050719841882320385, 0.051416117957998796, 0.11068354934066921, 0.2741797930718242, -0.04156544246081892, -0.11952826930149518, -0.001949016543032674, 0.12556474213186022] |
710.4386 | Quantum stabilization of Z-strings, a status report on D=3+1 dimensions | We investigate an extension to the phase shift formalism for calculating
one-loop determinants. This extension is motivated by requirements of the
computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that
seems to imply that the vacuum polarization diagram in this formalism is
(erroneously) finite is thoroughly investigated.
| hep-th | we investigate an extension to the phase shift formalism for calculating oneloop determinants this extension is motivated by requirements of the computation of zstring quantum energies in d31 dimensions a subtlety that seems to imply that the vacuum polarization diagram in this formalism is erroneously finite is thoroughly investigated | [['we', 'investigate', 'an', 'extension', 'to', 'the', 'phase', 'shift', 'formalism', 'for', 'calculating', 'oneloop', 'determinants', 'this', 'extension', 'is', 'motivated', 'by', 'requirements', 'of', 'the', 'computation', 'of', 'zstring', 'quantum', 'energies', 'in', 'd31', 'dimensions', 'a', 'subtlety', 'that', 'seems', 'to', 'imply', 'that', 'the', 'vacuum', 'polarization', 'diagram', 'in', 'this', 'formalism', 'is', 'erroneously', 'finite', 'is', 'thoroughly', 'investigated']] | [-0.14612227556656818, 0.18080952399848646, -0.09822503275865195, 0.12402040961825726, -0.038153599947690964, -0.07661569674442313, 0.0377094637678594, 0.34026969011340824, -0.19677827053950453, -0.24947303183832947, 0.046896060667361836, -0.22507268859415638, -0.17299061702868465, 0.1183734821079641, -0.057023989169131394, -0.004396961973409871, -0.025959922799042294, 0.002271727639801648, -0.12416744682633755, -0.2271525421540956, 0.3151745124130833, 0.07582660094236157, 0.2751544279103376, 0.12313087858563783, 0.04304144356627854, 0.0010228227462847621, -0.002336545904376069, 0.03167555336745418, -0.12614286826995952, 0.0875931217463459, 0.2611461699731192, 0.06809084379703415, 0.18831676913767445, -0.3471240834142937, -0.20610223558484292, 0.12005242254889133, 0.13492045036460065, 0.17904547218005268, -0.036944420476044924, -0.245235466569358, 0.0870506459923119, -0.20510967788571605, -0.2072407380981865, -0.0995020143003488, 0.041869833818351736, -0.14460728868690073, -0.22410509879795873, 0.05855383129068175, 0.017468567604997327, 0.04625731974612085, -0.033559744208290866, -0.08474722466602617, 0.024459143900977715, 0.049609178648691396, 0.0632730776263515, 0.041647801337269495, 0.07793250572582593, -0.12046982789393135, -0.12514038745085804, 0.39480523027631703, -0.04184828430642279, -0.2040199723322781, 0.0740043615960345, -0.15823478415152248, -0.16546583677432974, 0.11656284477668327, 0.059131034611895374, 0.11438431872092948, -0.1828078960106537, 0.1986267679960144, 0.013939781057439288, 0.13737940602004528, 0.08556652331382644, 0.028636198395825162, 0.1980217352357446, 0.11566480309037226, -0.009758515872669463, 0.20338343726281, 0.002750929901186301, -0.1654085981355486, -0.36785763722597337, -0.18985420954784935, -0.18389180842406896, 0.05559235193519568, -0.043640064351184636, -0.1669834074754344, 0.3787888372887154, 0.18405190925143555, 0.15639445926442894, 0.022094910489205196, 0.2804444112948009, 0.19115471570011305, 0.08473041296309354, 0.00880321664545609, 0.26117146458020624, 0.20044863688265335, 0.08561732779656138, -0.26378972622166785, -0.005776972110782351, 0.1270547621831184] |
710.4387 | Oxygen abundance methods in the SDSS: view from modern statistics | Our purpose is to find which is the most reliable one among various oxygen
abundance determination methods. We will test the validity of several different
oxygen abundance determination methods using methods of modern statistics.
These methods include Bayesian analysis and information scoring. We will
analyze a sample of $\sim$6000 $\hii$ galaxies from the Sloan Digital Sky
Survey (SDSS) spectroscopic observations data release four. All methods that we
used drew the same conclusion that the $T_e$ method is a more reliable oxygen
abundance determination methods than the Bayesian metallcity method under the
existing telescope ability. The ratios of the likelihoods between the different
kinds of methods tell us that the $T_e$, $P$, and $O3N2$ methods are consistent
with each other because the $P$ and $O3N2$ method are calibrated by
$T_e$-method. The Bayesian and $R_{23}$ method are consistent with each other
because both are calibrated by a galaxy model. In either case, the $N2$ method
is an {\it unreliable} method.
| astro-ph | our purpose is to find which is the most reliable one among various oxygen abundance determination methods we will test the validity of several different oxygen abundance determination methods using methods of modern statistics these methods include bayesian analysis and information scoring we will analyze a sample of sim6000 hii galaxies from the sloan digital sky survey sdss spectroscopic observations data release four all methods that we used drew the same conclusion that the t_e method is a more reliable oxygen abundance determination methods than the bayesian metallcity method under the existing telescope ability the ratios of the likelihoods between the different kinds of methods tell us that the t_e p and o3n2 methods are consistent with each other because the p and o3n2 method are calibrated by t_emethod the bayesian and r_23 method are consistent with each other because both are calibrated by a galaxy model in either case the n2 method is an it unreliable method | [['our', 'purpose', 'is', 'to', 'find', 'which', 'is', 'the', 'most', 'reliable', 'one', 'among', 'various', 'oxygen', 'abundance', 'determination', 'methods', 'we', 'will', 'test', 'the', 'validity', 'of', 'several', 'different', 'oxygen', 'abundance', 'determination', 'methods', 'using', 'methods', 'of', 'modern', 'statistics', 'these', 'methods', 'include', 'bayesian', 'analysis', 'and', 'information', 'scoring', 'we', 'will', 'analyze', 'a', 'sample', 'of', 'sim6000', 'hii', 'galaxies', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'spectroscopic', 'observations', 'data', 'release', 'four', 'all', 'methods', 'that', 'we', 'used', 'drew', 'the', 'same', 'conclusion', 'that', 'the', 't_e', 'method', 'is', 'a', 'more', 'reliable', 'oxygen', 'abundance', 'determination', 'methods', 'than', 'the', 'bayesian', 'metallcity', 'method', 'under', 'the', 'existing', 'telescope', 'ability', 'the', 'ratios', 'of', 'the', 'likelihoods', 'between', 'the', 'different', 'kinds', 'of', 'methods', 'tell', 'us', 'that', 'the', 't_e', 'p', 'and', 'o3n2', 'methods', 'are', 'consistent', 'with', 'each', 'other', 'because', 'the', 'p', 'and', 'o3n2', 'method', 'are', 'calibrated', 'by', 't_emethod', 'the', 'bayesian', 'and', 'r_23', 'method', 'are', 'consistent', 'with', 'each', 'other', 'because', 'both', 'are', 'calibrated', 'by', 'a', 'galaxy', 'model', 'in', 'either', 'case', 'the', 'n2', 'method', 'is', 'an', 'it', 'unreliable', 'method']] | [0.009061067986856719, 0.010972360241805963, -0.08610484959664429, 0.09538983699723272, -0.0693269130339324, -0.12467039011976426, 0.04014885249090897, 0.43360151502950367, -0.16476510673728742, -0.3464276832132637, 0.08700556648304911, -0.32194897297556235, -0.07771864764772024, 0.2608522554654865, -0.04083651715331966, 0.022487248467566195, 0.08544825954632655, -0.04909358026495405, -0.07618681192220111, -0.30451405628519074, 0.26529548472612147, 0.0329710394974537, 0.30910148864291653, -0.051041801037803695, 0.01490464786369395, -0.06874482149175208, -0.13775498278225493, 0.026680314900786588, -0.1728236720930903, 0.13724386477902248, 0.25961262208801117, 0.19625549945553208, 0.2692032369197744, -0.3397558120604969, -0.17714090416635012, 0.12460916178229793, 0.1596510760548412, 0.1309044477937648, -0.021513649193250432, -0.2521500061280954, 0.061166475526988506, -0.15894009843231385, -0.09833287196174549, -0.07202657036317192, -0.029913433532343263, 0.0447900126907666, -0.26771179569372017, 0.11362265244387328, -0.023030621322927772, 0.09666600801454038, -0.08445275486090997, -0.1828320724919296, -0.055134998971098075, 0.13251316123404747, 0.029551801170151278, 0.003482951909440101, 0.1321592440704109, -0.07840786385646528, -0.05173432687000864, 0.38574691695772156, -0.05074875319280564, -0.10502015834875927, 0.20151741717864943, -0.12119398512699564, -0.19928627675043264, 0.1169660854187444, 0.11206145875399137, 0.1694975160180953, -0.1981030367136856, 0.022779287282484257, -0.008543014835572214, 0.20144988223317134, 0.011991306421625766, -0.015860195719443446, 0.21312593401759672, 0.11665792882466203, 0.06027752652788048, 0.025545880715303407, -0.20841798408900145, -0.03872305474831325, -0.2432280851136537, -0.10860594630331857, -0.14832277054480236, -0.013921488597722144, -0.12985451153448374, -0.1295410832449509, 0.3338229155307339, 0.2234973388006258, 0.17653518035462137, 0.038099928175478845, 0.3781445161409818, 0.04812897484123731, 0.08161565690497115, 0.03222170094277259, 0.24168634301965025, 0.14215574450019725, 0.06520334328673068, -0.20983698761096567, 0.10337661271974159, 0.06209656250941905] |
710.4388 | Resolving the wave-vector and the refractive index from the coefficient
of reflectance | We resolve the existing controversy concerning the selection of the sign of
the normal-to-the-interface component of the wave-vector $k_z$ of an
electromagnetic wave in an active (gain) medium. Our method exploits the fact
that no ambiguity exists in the case of a {\em film} of the active medium since
its coefficient of reflectance is invariant under the inversion of the sign of
$k_z$. Then we show that the limit of the infinite film thickness determines a
unique and physically consistent choice of the wave-vector and the refractive
index. Practically important implications of the theory are identified and
discussed.
| physics.optics | we resolve the existing controversy concerning the selection of the sign of the normaltotheinterface component of the wavevector k_z of an electromagnetic wave in an active gain medium our method exploits the fact that no ambiguity exists in the case of a em film of the active medium since its coefficient of reflectance is invariant under the inversion of the sign of k_z then we show that the limit of the infinite film thickness determines a unique and physically consistent choice of the wavevector and the refractive index practically important implications of the theory are identified and discussed | [['we', 'resolve', 'the', 'existing', 'controversy', 'concerning', 'the', 'selection', 'of', 'the', 'sign', 'of', 'the', 'normaltotheinterface', 'component', 'of', 'the', 'wavevector', 'k_z', 'of', 'an', 'electromagnetic', 'wave', 'in', 'an', 'active', 'gain', 'medium', 'our', 'method', 'exploits', 'the', 'fact', 'that', 'no', 'ambiguity', 'exists', 'in', 'the', 'case', 'of', 'a', 'em', 'film', 'of', 'the', 'active', 'medium', 'since', 'its', 'coefficient', 'of', 'reflectance', 'is', 'invariant', 'under', 'the', 'inversion', 'of', 'the', 'sign', 'of', 'k_z', 'then', 'we', 'show', 'that', 'the', 'limit', 'of', 'the', 'infinite', 'film', 'thickness', 'determines', 'a', 'unique', 'and', 'physically', 'consistent', 'choice', 'of', 'the', 'wavevector', 'and', 'the', 'refractive', 'index', 'practically', 'important', 'implications', 'of', 'the', 'theory', 'are', 'identified', 'and', 'discussed']] | [-0.2002035462508727, 0.11950832644757123, -0.0870111751917404, 0.013280787948067732, -0.08775273205462805, -0.0538934703853903, 0.051845360070841444, 0.399262881136893, -0.2725772837215324, -0.26597250735905675, 0.07335533895565811, -0.26337316903986574, -0.14832819200399303, 0.16030420983191004, -0.004468644311478765, 0.03876110123285601, -0.030717278914718132, 0.03745608161366785, -0.061533231122572855, -0.14865415344571636, 0.3413381067623106, 0.05301929430642463, 0.3038676413683432, 0.09505650568837493, 0.12202633117306401, 0.040296507828878524, -0.05888417780821778, 0.039087725710843874, -0.12007057669493922, 0.07934578007192726, 0.2295108852168718, 0.04884977086408774, 0.23738519930834018, -0.3696387783268985, -0.21203042238413058, 0.05288193513130404, 0.12980112703709104, 0.07516189446173531, -0.07244381668122928, -0.22870244448956525, 0.05995720118937111, -0.10862695271678548, -0.18691353180167294, 0.0038156475314928082, 0.03539137968543878, -0.01905392865007071, -0.24660344440105958, 0.08919529481934979, 0.1061891310166606, 0.030176739160393932, -0.08928241247680883, -0.1261889902855625, -0.05025389641955418, 0.10338514302521176, 0.1432723900298444, 0.01681256082782656, 0.09608479496091604, -0.16785831478203542, -0.07383608593864693, 0.39987503702646676, -0.03827109617801754, -0.16775697047255703, 0.12487985693955238, -0.1499291218231557, -0.0524783633678153, 0.1782561765657258, 0.10781493019696671, 0.10291809838783648, -0.06964775838303505, 0.11262839362709351, -0.11013999745923637, 0.22462445732263714, 0.07719529147941581, 0.049212838689911845, 0.1955797399307803, 0.14390647330695822, 0.06926528370660759, 0.1202959476816516, -0.10464547856797263, -0.03075701422682128, -0.3104385620789583, -0.17674393016729772, -0.1943888880130019, 0.024379422840603494, -0.1328118010868136, -0.20360366542002706, 0.4265813438903502, 0.17059132860272586, 0.1888220308314932, -0.029112880540646844, 0.26293522003706854, 0.12513930103429546, 0.04017963131875299, 0.05526919035509843, 0.3107312144423576, 0.15655702387568415, 0.07837368299723747, -0.27895654696663935, 0.07902901073360873, -0.002284096018651251] |
710.4389 | Dynamic importance sampling for queueing networks | Importance sampling is a technique that is commonly used to speed up Monte
Carlo simulation of rare events. However, little is known regarding the design
of efficient importance sampling algorithms in the context of queueing
networks. The standard approach, which simulates the system using an a priori
fixed change of measure suggested by large deviation analysis, has been shown
to fail in even the simplest network setting (e.g., a two-node tandem network).
Exploiting connections between importance sampling, differential games, and
classical subsolutions of the corresponding Isaacs equation, we show how to
design and analyze simple and efficient dynamic importance sampling schemes for
general classes of networks. The models used to illustrate the approach include
$d$-node tandem Jackson networks and a two-node network with feedback, and the
rare events studied are those of large queueing backlogs, including total
population overflow and the overflow of individual buffers.
| math.PR | importance sampling is a technique that is commonly used to speed up monte carlo simulation of rare events however little is known regarding the design of efficient importance sampling algorithms in the context of queueing networks the standard approach which simulates the system using an a priori fixed change of measure suggested by large deviation analysis has been shown to fail in even the simplest network setting eg a twonode tandem network exploiting connections between importance sampling differential games and classical subsolutions of the corresponding isaacs equation we show how to design and analyze simple and efficient dynamic importance sampling schemes for general classes of networks the models used to illustrate the approach include dnode tandem jackson networks and a twonode network with feedback and the rare events studied are those of large queueing backlogs including total population overflow and the overflow of individual buffers | [['importance', 'sampling', 'is', 'a', 'technique', 'that', 'is', 'commonly', 'used', 'to', 'speed', 'up', 'monte', 'carlo', 'simulation', 'of', 'rare', 'events', 'however', 'little', 'is', 'known', 'regarding', 'the', 'design', 'of', 'efficient', 'importance', 'sampling', 'algorithms', 'in', 'the', 'context', 'of', 'queueing', 'networks', 'the', 'standard', 'approach', 'which', 'simulates', 'the', 'system', 'using', 'an', 'a', 'priori', 'fixed', 'change', 'of', 'measure', 'suggested', 'by', 'large', 'deviation', 'analysis', 'has', 'been', 'shown', 'to', 'fail', 'in', 'even', 'the', 'simplest', 'network', 'setting', 'eg', 'a', 'twonode', 'tandem', 'network', 'exploiting', 'connections', 'between', 'importance', 'sampling', 'differential', 'games', 'and', 'classical', 'subsolutions', 'of', 'the', 'corresponding', 'isaacs', 'equation', 'we', 'show', 'how', 'to', 'design', 'and', 'analyze', 'simple', 'and', 'efficient', 'dynamic', 'importance', 'sampling', 'schemes', 'for', 'general', 'classes', 'of', 'networks', 'the', 'models', 'used', 'to', 'illustrate', 'the', 'approach', 'include', 'dnode', 'tandem', 'jackson', 'networks', 'and', 'a', 'twonode', 'network', 'with', 'feedback', 'and', 'the', 'rare', 'events', 'studied', 'are', 'those', 'of', 'large', 'queueing', 'backlogs', 'including', 'total', 'population', 'overflow', 'and', 'the', 'overflow', 'of', 'individual', 'buffers']] | [-0.11163830779858269, 0.03909412632745241, -0.04869261517241183, 0.15003792847063677, -0.05061489027219876, -0.1683924232234454, 0.10199178662151098, 0.38684265637615073, -0.287355255555465, -0.3325414527660339, 0.11664360105755299, -0.25037571016906035, -0.19090801471611485, 0.21123963620953468, -0.10789419259203391, 0.10753836843650788, 0.11728378969645645, 0.02392820479387107, -0.028091090247875802, -0.2260136283883993, 0.2974682486253894, 0.09908950531906965, 0.307021761041445, -0.012896474473513485, 0.12524825282808807, 0.01865004940352972, -0.0549805522378948, 0.019825032642175857, -0.12372663949508933, 0.1038421973417927, 0.24572777768109214, 0.14477055253195836, 0.3165521112839795, -0.4197818705061864, -0.25419332950291895, 0.1372923495275447, 0.13405914820547574, 0.11932003139049306, -0.05310078421866314, -0.2534406514217456, 0.09760045853747418, -0.21091393847988607, -0.08110981831002088, -0.06962326532488482, -0.014265066328031631, 0.08096213600519302, -0.2780665116151795, 0.014997633722183915, 0.024174746079047002, 0.023346206726273522, 0.022010006998445734, -0.1105114968813723, -0.002700502990693268, 0.15638953768130806, 0.031255547543373216, -0.01718023363759534, 0.11459799086474555, -0.11072772054143974, -0.18291450773217044, 0.3698462698893208, -0.029681713828015037, -0.1890694931563404, 0.21310184851366407, -0.06588011040649791, -0.14852685756826153, 0.13223042922456646, 0.23038731549685407, 0.12048350025725085, -0.19431311004639915, 0.04573590572060008, -0.007699115247103489, 0.13463288061838183, 0.029863154936012708, 0.01412894200580518, 0.12377156163307114, 0.23962324047978553, 0.04225691424411101, 0.13208458714264756, -0.08860573260042454, -0.18517665557899615, -0.22774124948773533, -0.11788932656377761, -0.16985822309248355, 0.01927705335563385, -0.10586300145243716, -0.1502519141300177, 0.327096234599594, 0.17446008867369123, 0.15133866410340285, 0.09773082638680029, 0.2944315467288511, 0.10902517536305822, 0.061293601594722226, 0.09856153717070508, 0.17819966508250218, 0.1537532945270262, 0.11359816143522039, -0.19283052884364021, 0.13086611028120387, 0.04138437851684608] |
710.439 | Chirality-Biased Point Defects Dynamics on a Disclination Line in a
Nematic Liquid Crystal | Chiral additives in the nematic liquid crystal can alter the dynamics of
point defects moving on a disclination line. They exert a constant force on
defects, leading to the bimodal distribution of distances between them at long
times. The evolution of the system of defects in the presence of chiral
additives provides a very direct proof of the existence of repulsive forces
between the defects at large distances. We find that addition of a sufficient
amount of chiral compound removes all point defects from the system. The
process is studied in the system of 8CB (4-n-octyl-4 '-cyanobiphenyl) doped
with the chiral compound S811 (from Merck Co.) and in the computer simulations.
| cond-mat.soft | chiral additives in the nematic liquid crystal can alter the dynamics of point defects moving on a disclination line they exert a constant force on defects leading to the bimodal distribution of distances between them at long times the evolution of the system of defects in the presence of chiral additives provides a very direct proof of the existence of repulsive forces between the defects at large distances we find that addition of a sufficient amount of chiral compound removes all point defects from the system the process is studied in the system of 8cb 4noctyl4 cyanobiphenyl doped with the chiral compound s811 from merck co and in the computer simulations | [['chiral', 'additives', 'in', 'the', 'nematic', 'liquid', 'crystal', 'can', 'alter', 'the', 'dynamics', 'of', 'point', 'defects', 'moving', 'on', 'a', 'disclination', 'line', 'they', 'exert', 'a', 'constant', 'force', 'on', 'defects', 'leading', 'to', 'the', 'bimodal', 'distribution', 'of', 'distances', 'between', 'them', 'at', 'long', 'times', 'the', 'evolution', 'of', 'the', 'system', 'of', 'defects', 'in', 'the', 'presence', 'of', 'chiral', 'additives', 'provides', 'a', 'very', 'direct', 'proof', 'of', 'the', 'existence', 'of', 'repulsive', 'forces', 'between', 'the', 'defects', 'at', 'large', 'distances', 'we', 'find', 'that', 'addition', 'of', 'a', 'sufficient', 'amount', 'of', 'chiral', 'compound', 'removes', 'all', 'point', 'defects', 'from', 'the', 'system', 'the', 'process', 'is', 'studied', 'in', 'the', 'system', 'of', '8cb', '4noctyl4', 'cyanobiphenyl', 'doped', 'with', 'the', 'chiral', 'compound', 's811', 'from', 'merck', 'co', 'and', 'in', 'the', 'computer', 'simulations']] | [-0.17385053315088836, 0.1665778924164217, -0.0856453047791889, -0.035734870949988506, 0.020471227701343256, -0.0984664117199702, 0.061813896937122775, 0.36494030717999565, -0.24541620303526385, -0.264558113953355, 0.019987026910904215, -0.33150376946827687, -0.12104746476328428, 0.09467987843079988, 0.027808558537599143, 8.918432553016811e-05, -0.01608048426414575, -0.0005090451530189416, -0.08502849015522612, -0.19979727361351252, 0.29905068113921435, 0.04490402077726268, 0.2865849479417735, 0.10405756972533642, 0.07353779663750475, -0.009821957675740123, 0.06557054745264078, 0.015893137073913297, -0.13927859945657692, 0.06276221534476505, 0.18656594600579743, -0.062115205622731, 0.19143155352169766, -0.4869132349011275, -0.21928737732077683, 0.06936128482803566, 0.11323197864192547, 0.1837029249296276, -0.07050157249307072, -0.28588952198453726, 0.08301026890601176, -0.12293961294285885, -0.17709426322969002, -0.030267823162838953, 0.0065565012959302015, 0.050928702240183935, -0.21801918119602248, 0.10938476016552726, 0.08110436226386543, 0.0927404948347889, -0.07646567361224271, -0.08537928182354043, -0.102605143237278, 0.13802287959250187, 0.06730973136738379, 0.017367192544043064, 0.20637068055450505, -0.16367711018292455, -0.08770799723725099, 0.40872413155392084, -0.046062391582415055, -0.13678125866235943, 0.1998305406353069, -0.1295944754004376, -0.114221597598746, 0.21144387931477518, 0.16834646350556745, 0.10958012355728622, -0.11822352574608468, 0.0587261966787441, -0.022867068370650393, 0.1821229765602866, 0.07301018409294273, 0.02120745589170571, 0.30343777960627727, 0.1818913101227185, 0.056000802499336116, 0.1431932172080109, -0.12408379899202247, -0.10918626249896003, -0.2883587243257586, -0.17465723652409715, -0.19797110309879884, 0.05057869178089185, -0.09674808457603255, -0.1929701281745636, 0.3218630377305757, 0.13223166531165464, 0.18435576253938019, -0.036910474462725155, 0.19464238896248265, 0.025111792965283736, 0.11151906455132188, -0.007168379103884511, 0.2416962999935954, 0.13634788337240525, 0.10881331100325109, -0.2759801728326246, 0.07882428351242882, 0.06519876536806413] |
710.4391 | Scattering of sine-Gordon Breathers on Potential Wells | We analyse the scattering of sine-Gordon breathers on a square potential
well. We show that the scattering process depends not only on the vibration
frequency of the breather and its incoming speed but also on its phase as well
as the depth and width of the well. We show that the breather can pass through
the well and exit with a speed different, sometime larger, from the initial
one. It can also be trapped and very slowly decay inside the well or bounce out
of the well and go back to where it came from. We also show that the breather
can split into a kink and an anti-kink pair when it hits the well.
| cond-mat.other | we analyse the scattering of sinegordon breathers on a square potential well we show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well we show that the breather can pass through the well and exit with a speed different sometime larger from the initial one it can also be trapped and very slowly decay inside the well or bounce out of the well and go back to where it came from we also show that the breather can split into a kink and an antikink pair when it hits the well | [['we', 'analyse', 'the', 'scattering', 'of', 'sinegordon', 'breathers', 'on', 'a', 'square', 'potential', 'well', 'we', 'show', 'that', 'the', 'scattering', 'process', 'depends', 'not', 'only', 'on', 'the', 'vibration', 'frequency', 'of', 'the', 'breather', 'and', 'its', 'incoming', 'speed', 'but', 'also', 'on', 'its', 'phase', 'as', 'well', 'as', 'the', 'depth', 'and', 'width', 'of', 'the', 'well', 'we', 'show', 'that', 'the', 'breather', 'can', 'pass', 'through', 'the', 'well', 'and', 'exit', 'with', 'a', 'speed', 'different', 'sometime', 'larger', 'from', 'the', 'initial', 'one', 'it', 'can', 'also', 'be', 'trapped', 'and', 'very', 'slowly', 'decay', 'inside', 'the', 'well', 'or', 'bounce', 'out', 'of', 'the', 'well', 'and', 'go', 'back', 'to', 'where', 'it', 'came', 'from', 'we', 'also', 'show', 'that', 'the', 'breather', 'can', 'split', 'into', 'a', 'kink', 'and', 'an', 'antikink', 'pair', 'when', 'it', 'hits', 'the', 'well']] | [-0.06876821951009333, 0.1530717951904871, -0.08829864324272975, 0.0878931740365458, -0.06643113284776717, -0.12057329848327715, 0.06611216181646222, 0.3960811012465021, -0.3262769938811012, -0.25273449940849907, 0.1678623945027104, -0.28193131973562036, -0.15110089850369032, 0.2223480652835544, 0.024827059098195447, 0.024357252158022123, 0.07223976063542067, 0.1338213562115055, -0.015007851918673386, -0.22660176596887735, 0.2878630503364231, 0.03748811135959366, 0.2415034073566937, 0.10158877001224977, 0.09131986186637178, 0.010787544197038463, 0.0493748417529075, 0.0015372368466594945, -0.0973464253469264, -0.014083977092219436, 0.12486048182523202, 0.11011804080284808, 0.21079856648069362, -0.44512153102651886, -0.1951974029450313, 0.06400168321054915, 0.23262182559777536, 0.1725553880992305, -0.01930116698773497, -0.3418053986423689, 0.04688774089369437, -0.12717408811592537, -0.13010670588473264, -0.04139909536132346, 0.01946488281145044, 0.08864190772823666, -0.20451811894207544, 0.0738552359228893, 0.04346138383970474, -0.06000539827282014, -0.05630203518388874, -0.0819714629739199, -0.09822538503972085, 0.12181045231333448, 0.0993375025525102, 0.0036583612592000028, 0.11017101447543372, -0.12440924959500199, -0.04205710743351475, 0.399474595942656, -0.10968329757856934, -0.176439521032507, 0.20733689591086105, -0.1636771602515617, -0.01476570365788496, 0.12497752975348546, 0.14817248643578396, 0.1009561529909463, -0.03573618422872286, 0.03245098588117601, -0.004154804186976474, 0.1845527298151232, 0.13767896918175013, 0.0071743340600970325, 0.2333719092056803, 0.1678145196997439, 0.0684882463482411, 0.15631618583068738, -0.12658968308495114, -0.08930894128330376, -0.33364690652360085, -0.15486044830683132, -0.16596637709957102, 0.055775932101254436, -0.05501419412625103, -0.1864015078496026, 0.42018331932308883, 0.10519982339490368, 0.2576155482345949, 0.023460831509336182, 0.28489097683973935, 0.16496721169020495, 0.08711364957625452, 0.09136111588095841, 0.2773586965530463, 0.07797671980022089, 0.10030278682546771, -0.22076931978960562, -0.013640106768529538, 0.000525268859675397] |
710.4392 | Kernel estimation of Greek weights by parameter randomization | A Greek weight associated to a parameterized random variable $Z(\lambda)$ is
a random variable $\pi$ such that
$\nabla_{\lambda}E[\phi(Z(\lambda))]=E[\phi(Z(\lambda))\pi]$ for any function
$\phi$. The importance of the set of Greek weights for the purpose of Monte
Carlo simulations has been highlighted in the recent literature. Our main
concern in this paper is to devise methods which produce the optimal weight,
which is well known to be given by the score, in a general context where the
density of $Z(\lambda)$ is not explicitly known. To do this, we randomize the
parameter $\lambda$ by introducing an a priori distribution, and we use
classical kernel estimation techniques in order to estimate the score function.
By an integration by parts argument on the limit of this first kernel
estimator, we define an alternative simpler kernel-based estimator which turns
out to be closely related to the partial gradient of the kernel-based estimator
of $\mathbb{E}[\phi(Z(\lambda))]$. Similarly to the finite differences
technique, and unlike the so-called Malliavin method, our estimators are
biased, but their implementation does not require any advanced mathematical
calculation. We provide an asymptotic analysis of the mean squared error of
these estimators, as well as their asymptotic distributions. For a
discontinuous payoff function, the kernel estimator outperforms the classical
finite differences one in terms of the asymptotic rate of convergence. This
result is confirmed by our numerical experiments.
| math.PR | a greek weight associated to a parameterized random variable zlambda is a random variable pi such that nabla_lambdaephizlambdaephizlambdapi for any function phi the importance of the set of greek weights for the purpose of monte carlo simulations has been highlighted in the recent literature our main concern in this paper is to devise methods which produce the optimal weight which is well known to be given by the score in a general context where the density of zlambda is not explicitly known to do this we randomize the parameter lambda by introducing an a priori distribution and we use classical kernel estimation techniques in order to estimate the score function by an integration by parts argument on the limit of this first kernel estimator we define an alternative simpler kernelbased estimator which turns out to be closely related to the partial gradient of the kernelbased estimator of mathbbephizlambda similarly to the finite differences technique and unlike the socalled malliavin method our estimators are biased but their implementation does not require any advanced mathematical calculation we provide an asymptotic analysis of the mean squared error of these estimators as well as their asymptotic distributions for a discontinuous payoff function the kernel estimator outperforms the classical finite differences one in terms of the asymptotic rate of convergence this result is confirmed by our numerical experiments | [['a', 'greek', 'weight', 'associated', 'to', 'a', 'parameterized', 'random', 'variable', 'zlambda', 'is', 'a', 'random', 'variable', 'pi', 'such', 'that', 'nabla_lambdaephizlambdaephizlambdapi', 'for', 'any', 'function', 'phi', 'the', 'importance', 'of', 'the', 'set', 'of', 'greek', 'weights', 'for', 'the', 'purpose', 'of', 'monte', 'carlo', 'simulations', 'has', 'been', 'highlighted', 'in', 'the', 'recent', 'literature', 'our', 'main', 'concern', 'in', 'this', 'paper', 'is', 'to', 'devise', 'methods', 'which', 'produce', 'the', 'optimal', 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'implementation', 'does', 'not', 'require', 'any', 'advanced', 'mathematical', 'calculation', 'we', 'provide', 'an', 'asymptotic', 'analysis', 'of', 'the', 'mean', 'squared', 'error', 'of', 'these', 'estimators', 'as', 'well', 'as', 'their', 'asymptotic', 'distributions', 'for', 'a', 'discontinuous', 'payoff', 'function', 'the', 'kernel', 'estimator', 'outperforms', 'the', 'classical', 'finite', 'differences', 'one', 'in', 'terms', 'of', 'the', 'asymptotic', 'rate', 'of', 'convergence', 'this', 'result', 'is', 'confirmed', 'by', 'our', 'numerical', 'experiments']] | [-0.048503729207672985, 0.03462859682503843, -0.13783795496798384, 0.09620505858136855, -0.08901151111012333, -0.09089876385194953, 0.060181697762604985, 0.37627568352562946, -0.26952177999600163, -0.26927528968628717, 0.12389890832259695, -0.2574691897009529, -0.17600241872693762, 0.1873476674650665, -0.10654984718416206, 0.09160815055031178, 0.04262426881777013, 0.04531945741318727, -0.09193959470092407, 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710.4393 | Quantum reference frames and deformed symmetries | In the context of constrained quantum mechanics, reference systems are used
to construct relational observables that are invariant under the action of the
symmetry group. Upon measurement of a relational observable, the reference
system undergoes an unavoidable measurement "back-action" that modifies its
properties. In a quantum-gravitational setting, it has been argued that such a
back-action may produce effects that are described at an effective level as a
form of deformed (or doubly) special relativity. We examine this possibility
using a simple constrained system that has been extensively studied in the
context of quantum information. While our conclusions support the idea of a
symmetry deformation, they also reveal a host of other effects that may be
relevant to the context of quantum gravity, and could potentially conceal the
symmetry deformation.
| gr-qc quant-ph | in the context of constrained quantum mechanics reference systems are used to construct relational observables that are invariant under the action of the symmetry group upon measurement of a relational observable the reference system undergoes an unavoidable measurement backaction that modifies its properties in a quantumgravitational setting it has been argued that such a backaction may produce effects that are described at an effective level as a form of deformed or doubly special relativity we examine this possibility using a simple constrained system that has been extensively studied in the context of quantum information while our conclusions support the idea of a symmetry deformation they also reveal a host of other effects that may be relevant to the context of quantum gravity and could potentially conceal the symmetry deformation | [['in', 'the', 'context', 'of', 'constrained', 'quantum', 'mechanics', 'reference', 'systems', 'are', 'used', 'to', 'construct', 'relational', 'observables', 'that', 'are', 'invariant', 'under', 'the', 'action', 'of', 'the', 'symmetry', 'group', 'upon', 'measurement', 'of', 'a', 'relational', 'observable', 'the', 'reference', 'system', 'undergoes', 'an', 'unavoidable', 'measurement', 'backaction', 'that', 'modifies', 'its', 'properties', 'in', 'a', 'quantumgravitational', 'setting', 'it', 'has', 'been', 'argued', 'that', 'such', 'a', 'backaction', 'may', 'produce', 'effects', 'that', 'are', 'described', 'at', 'an', 'effective', 'level', 'as', 'a', 'form', 'of', 'deformed', 'or', 'doubly', 'special', 'relativity', 'we', 'examine', 'this', 'possibility', 'using', 'a', 'simple', 'constrained', 'system', 'that', 'has', 'been', 'extensively', 'studied', 'in', 'the', 'context', 'of', 'quantum', 'information', 'while', 'our', 'conclusions', 'support', 'the', 'idea', 'of', 'a', 'symmetry', 'deformation', 'they', 'also', 'reveal', 'a', 'host', 'of', 'other', 'effects', 'that', 'may', 'be', 'relevant', 'to', 'the', 'context', 'of', 'quantum', 'gravity', 'and', 'could', 'potentially', 'conceal', 'the', 'symmetry', 'deformation']] | [-0.13674808618460976, 0.1466765682839756, -0.14803712141100867, 0.07789326148999264, -0.07524437373576238, -0.13642299911657044, -0.0068666324752216885, 0.3459489123224346, -0.278137872356546, -0.27852829367954773, 0.09439369026199705, -0.25299105864169813, -0.16220321240040741, 0.18326588680917152, -0.08186654963480063, 0.05330090382354796, 0.04131924486701023, 0.085221296409145, -0.09355517067538589, -0.19757814872972695, 0.30762632692940245, 0.09383043589507223, 0.2631046808840952, 0.017775213260604286, 0.0908591140805231, 0.0011030615732329175, 0.013850999905821658, 0.08082761746910654, -0.08859396912146256, 0.07728002439595962, 0.2349249122198671, 0.10671410037839944, 0.24661293861189093, -0.41707182938391846, -0.2652672193962503, 0.08410717235416058, 0.11904866362077206, 0.18033934431331045, -0.08059112245736774, -0.32017189426015513, 0.047576057370896485, -0.2025907817585466, -0.1384667884125266, -0.11095319608544078, 0.015741134019092072, -0.07367716501457905, -0.22439365536552067, 0.04410729332431761, 0.08753778269268976, 0.03258137202049179, -0.031198350717169195, -0.03814345284756778, -0.026961347010607522, 0.11483566222401957, 0.026105798499355484, 0.008642347266242384, 0.17576566199833427, -0.11170730442205776, -0.13380992076316373, 0.4541594122153844, -0.032196306964642436, -0.21938378603536954, 0.17230498188630092, -0.11764612102650049, -0.19263388937007087, 0.0741191609923244, 0.16834724276478208, 0.09445103671575009, -0.15790206530716183, 0.11238344194862293, -0.03667907491181941, 0.16677834420616544, 0.03090983409932706, 0.09985812757770683, 0.2618033062060212, 0.12796875410677158, 0.012753967267944831, 0.11690742684151009, -0.040181750464144836, -0.1292558471607261, -0.32107665563045545, -0.14261023992448757, -0.15469492365454518, 0.07027843780093646, -0.03185605545437537, -0.1378837470235953, 0.34705434299738314, 0.15494871455201403, 0.17465321575796824, -0.025374201337568635, 0.23906925077326308, 0.11567672321847243, 0.11061496953227261, 0.004149433434760386, 0.30810800396165877, 0.13402016844975856, 0.03223311801462672, -0.2302772601265027, 0.08131079883278572, 0.016860428497253] |
710.4394 | Markovian perturbation, response and fluctuation dissipation theorem | We consider the Fluctuation Dissipation Theorem (FDT) of statistical physics
from a mathematical perspective. We formalize the concept of "linear response
function" in the general framework of Markov processes. We show that for
processes out of equilibrium it depends not only on the given Markov process
X(s) but also on the chosen perturbation of it. We characterize the set of all
possible response functions for a given Markov process and show that at
equilibrium they all satisfy the FDT. That is, if the initial measure is
invariant for the given Markov semi-group, then for any pair of times s<t and
nice functions f,g, the dissipation, that is, the derivative in s of the
covariance of g(X(t)) and f(X(s)) equals the infinitesimal response at time t
and direction g to any Markovian perturbation that alters the invariant measure
of X(.) in the direction of f at time s. The same applies in the so called FDT
regime near equilibrium, i.e. in the limit s going to infinity with t-s fixed,
provided X(s) converges in law to an invariant measure for its dynamics. We
provide the response function of two generic Markovian perturbations which we
then compare and contrast for pure jump processes on a discrete space, for
finite dimensional diffusion processes, and for stochastic spin systems.
| math.PR math-ph math.MP | we consider the fluctuation dissipation theorem fdt of statistical physics from a mathematical perspective we formalize the concept of linear response function in the general framework of markov processes we show that for processes out of equilibrium it depends not only on the given markov process xs but also on the chosen perturbation of it we characterize the set of all possible response functions for a given markov process and show that at equilibrium they all satisfy the fdt that is if the initial measure is invariant for the given markov semigroup then for any pair of times st and nice functions fg the dissipation that is the derivative in s of the covariance of gxt and fxs equals the infinitesimal response at time t and direction g to any markovian perturbation that alters the invariant measure of x in the direction of f at time s the same applies in the so called fdt regime near equilibrium ie in the limit s going to infinity with ts fixed provided xs converges in law to an invariant measure for its dynamics we provide the response function of two generic markovian perturbations which we then compare and contrast for pure jump processes on a discrete space for finite dimensional diffusion processes and for stochastic spin systems | [['we', 'consider', 'the', 'fluctuation', 'dissipation', 'theorem', 'fdt', 'of', 'statistical', 'physics', 'from', 'a', 'mathematical', 'perspective', 'we', 'formalize', 'the', 'concept', 'of', 'linear', 'response', 'function', 'in', 'the', 'general', 'framework', 'of', 'markov', 'processes', 'we', 'show', 'that', 'for', 'processes', 'out', 'of', 'equilibrium', 'it', 'depends', 'not', 'only', 'on', 'the', 'given', 'markov', 'process', 'xs', 'but', 'also', 'on', 'the', 'chosen', 'perturbation', 'of', 'it', 'we', 'characterize', 'the', 'set', 'of', 'all', 'possible', 'response', 'functions', 'for', 'a', 'given', 'markov', 'process', 'and', 'show', 'that', 'at', 'equilibrium', 'they', 'all', 'satisfy', 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710.4395 | The base components of the dualizing sheaf of a curve on a surface | This note studies the structure of the divisorial fixed part of the dualizing
sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the
divisorial fixed part F of the dualizing sheaf is non empty then it has
arithmetic genus<1 and each component of F is a smooth rational curve.
| math.AG | this note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1connected curve d on a smooth surface s it is shown that if the divisorial fixed part f of the dualizing sheaf is non empty then it has arithmetic genus1 and each component of f is a smooth rational curve | [['this', 'note', 'studies', 'the', 'structure', 'of', 'the', 'divisorial', 'fixed', 'part', 'of', 'the', 'dualizing', 'sheaf', 'of', 'a', '1connected', 'curve', 'd', 'on', 'a', 'smooth', 'surface', 's', 'it', 'is', 'shown', 'that', 'if', 'the', 'divisorial', 'fixed', 'part', 'f', 'of', 'the', 'dualizing', 'sheaf', 'is', 'non', 'empty', 'then', 'it', 'has', 'arithmetic', 'genus1', 'and', 'each', 'component', 'of', 'f', 'is', 'a', 'smooth', 'rational', 'curve']] | [-0.25840262765788274, -0.012433679533257549, -0.17009144046876049, 0.019774432364751453, -0.09488456612286557, -0.1838533767815014, -0.0004651788455833282, 0.3308085763294782, -0.3732270784676075, -0.09667253133375198, 0.08116773243195244, -0.2515685495787433, -0.16696013596707157, 0.16352049860870466, -0.16637321781100972, -0.028136318341629312, 0.04468544851988554, 0.12458732590312138, -0.030908030619944578, -0.33751361976361033, 0.42003874234589084, -0.07735534807579825, 0.19676165251127845, 0.08408251155300864, 0.1327756575608094, -0.013998871261719614, 0.008680942002683878, -0.006807285652030259, -0.1329110749280257, 0.13560704207130975, 0.2934597583953291, 0.085246998475798, 0.22747300979764468, -0.35166747665165793, -0.14842204049429192, 0.2650483222844611, 0.07148530480584928, -0.03806261152827314, 0.036355326723423786, -0.14944952097721398, 0.14266993605997413, -0.1207016940295164, -0.19198096457070538, -0.019402821847636784, 0.17612108984030783, 0.018201206661095575, -0.21845705535815796, -0.06691808592066602, 0.1511208396737597, 0.15260067207938327, -0.03185396726309721, -0.06299434780209724, -0.18233869904153316, -0.0020441337837837636, -0.011392677240239988, 0.1789885200975862, 0.14352526874946697, -0.09059242860530503, -0.010982420453469135, 0.35758886127067463, -0.09731154769126858, -0.21123967818649753, 0.0905472707901416, -0.20528530859987118, -0.10983716480300895, 0.2059183308987745, -0.0012162304233892687, 0.22885372702564513, 0.02474388732870076, 0.2523191756325624, -0.16598713537678123, 0.1434641350684355, 0.08457141457724252, -0.09023528802624371, 0.17415596064945152, 0.12154953422889646, 0.08258864040752607, 0.09649412814594273, -0.03990636671577314, 0.025295695988461375, -0.41925549959497793, -0.195299346565402, -0.15691610329252267, 0.16193175184473926, -0.0733169277827983, -0.20166864527345751, 0.4364448543305376, -0.049760345868500214, 0.22269812688630605, 0.09911380397222404, 0.32330726240096347, 0.060335142986982, 0.0023082385305315256, 0.059826593505152105, 0.12819059592272555, 0.17860130712922132, -0.06165727417516921, -0.12686256760831124, 0.04350586993054354, 0.17946632375242189] |
710.4396 | A general dynamical statistical model with possible causal
interpretation | We develop a general dynamical model as a framework for possible causal
interpretation. We first state a criterion of local independence in terms of
measurability of processes involved in the Doob-Meyer decomposition of
stochastic processes, as in Aalen (1987); then we define direct and indirect
influence. We propose a definition of causal influence using the concepts of
``physical system''. This framework makes it possible to link descriptive and
explicative statistical models, and encompasses quantitative processes and
events. One of the features of this paper is the clear distinction between the
model for the system and the model for the observation. We give a dynamical
representation of a conventional joint model for HIV load and CD4 counts. We
show its inadequacy to capture causal influences while on the contrary known
mechanisms of HIV infection can be expressed directly through a system of
differential equations.
| math.ST stat.TH | we develop a general dynamical model as a framework for possible causal interpretation we first state a criterion of local independence in terms of measurability of processes involved in the doobmeyer decomposition of stochastic processes as in aalen 1987 then we define direct and indirect influence we propose a definition of causal influence using the concepts of physical system this framework makes it possible to link descriptive and explicative statistical models and encompasses quantitative processes and events one of the features of this paper is the clear distinction between the model for the system and the model for the observation we give a dynamical representation of a conventional joint model for hiv load and cd4 counts we show its inadequacy to capture causal influences while on the contrary known mechanisms of hiv infection can be expressed directly through a system of differential equations | [['we', 'develop', 'a', 'general', 'dynamical', 'model', 'as', 'a', 'framework', 'for', 'possible', 'causal', 'interpretation', 'we', 'first', 'state', 'a', 'criterion', 'of', 'local', 'independence', 'in', 'terms', 'of', 'measurability', 'of', 'processes', 'involved', 'in', 'the', 'doobmeyer', 'decomposition', 'of', 'stochastic', 'processes', 'as', 'in', 'aalen', '1987', 'then', 'we', 'define', 'direct', 'and', 'indirect', 'influence', 'we', 'propose', 'a', 'definition', 'of', 'causal', 'influence', 'using', 'the', 'concepts', 'of', 'physical', 'system', 'this', 'framework', 'makes', 'it', 'possible', 'to', 'link', 'descriptive', 'and', 'explicative', 'statistical', 'models', 'and', 'encompasses', 'quantitative', 'processes', 'and', 'events', 'one', 'of', 'the', 'features', 'of', 'this', 'paper', 'is', 'the', 'clear', 'distinction', 'between', 'the', 'model', 'for', 'the', 'system', 'and', 'the', 'model', 'for', 'the', 'observation', 'we', 'give', 'a', 'dynamical', 'representation', 'of', 'a', 'conventional', 'joint', 'model', 'for', 'hiv', 'load', 'and', 'cd4', 'counts', 'we', 'show', 'its', 'inadequacy', 'to', 'capture', 'causal', 'influences', 'while', 'on', 'the', 'contrary', 'known', 'mechanisms', 'of', 'hiv', 'infection', 'can', 'be', 'expressed', 'directly', 'through', 'a', 'system', 'of', 'differential', 'equations']] | [-0.1050291562101224, 0.04500912093407624, -0.11725371475559432, 0.12817380083252683, -0.08986769687592774, -0.10702357237500797, 0.1156486461954224, 0.31360183041086875, -0.28085895578382647, -0.28735316737222816, 0.06970655247064346, -0.2460162895992138, -0.2197233555265344, 0.1614446381230715, -0.06706399417163192, 0.038733484096079414, 0.04049912104513366, 0.05158194415173591, -0.02993531584808069, -0.18080358949027486, 0.3322371548502478, 0.05214885593606876, 0.2678344886989326, 0.053328631880491244, 0.15463812303418167, 0.048826185900105776, -0.07235137726199793, 0.02967563975224649, -0.14145921171037154, 0.11519179937032449, 0.2298289175120956, 0.2077310064805906, 0.2728738827643903, -0.4300336476180937, -0.2507031345577142, 0.10937737887383316, 0.09456611568066682, 0.12094506548906488, 0.02528162906027783, -0.2577513301951837, 0.051567085412936614, -0.19151459784748462, -0.09267198163983445, -0.08442012772901908, 0.005286785938786799, -0.011689686045047365, -0.2958597590938419, 0.1385142615592511, 0.09978844447776193, 0.07118615226728933, -0.0784506225979633, -0.0662594149605586, 0.006222660008531351, 0.143570487716372, 0.03719676346957709, -0.030625693546139986, 0.1125493088307289, -0.1257890828370631, -0.15695840528339045, 0.3687442052275776, -0.05279266715238613, -0.2152670883488926, 0.21016031283872216, -0.10934575663723207, -0.1433634091106771, 0.0557705468328839, 0.2081807067461468, 0.11911343575709245, -0.18603895123318567, 0.043001984439015234, -0.041245657579413245, 0.13057410783114862, -0.0017519119697121473, 0.040929821540090304, 0.18830888093468715, 0.21542409779438815, 0.02025921108409554, 0.13044788732300872, -0.06824484177689244, -0.12633146177667967, -0.3139126821782544, -0.1883674051404615, -0.0946104248555807, 0.028510883908028473, -0.07594650572042104, -0.1706165641341098, 0.41096863246008336, 0.19502279698080222, 0.18754020983384193, 0.0696162327772358, 0.2845060308870918, 0.11465049030705375, 0.016118266382026715, -0.0007722718182013377, 0.201420834174028, 0.15401803046933837, 0.06520533881970791, -0.19843706927893984, 0.14988459239818053, 0.04749016430867198] |
710.4397 | A Direct Multigrid Poisson Solver for Oct-Tree Adaptive Meshes | We describe a finite-volume method for solving the Poisson equation on
oct-tree adaptive meshes using direct solvers for individual mesh blocks. The
method is a modified version of the method presented by Huang and Greengard
(2000), which works with finite-difference meshes and does not allow for shared
boundaries between refined patches. Our algorithm is implemented within the
FLASH code framework and makes use of the PARAMESH library, permitting
efficient use of parallel computers. We describe the algorithm and present test
results that demonstrate its accuracy.
| astro-ph | we describe a finitevolume method for solving the poisson equation on octtree adaptive meshes using direct solvers for individual mesh blocks the method is a modified version of the method presented by huang and greengard 2000 which works with finitedifference meshes and does not allow for shared boundaries between refined patches our algorithm is implemented within the flash code framework and makes use of the paramesh library permitting efficient use of parallel computers we describe the algorithm and present test results that demonstrate its accuracy | [['we', 'describe', 'a', 'finitevolume', 'method', 'for', 'solving', 'the', 'poisson', 'equation', 'on', 'octtree', 'adaptive', 'meshes', 'using', 'direct', 'solvers', 'for', 'individual', 'mesh', 'blocks', 'the', 'method', 'is', 'a', 'modified', 'version', 'of', 'the', 'method', 'presented', 'by', 'huang', 'and', 'greengard', '2000', 'which', 'works', 'with', 'finitedifference', 'meshes', 'and', 'does', 'not', 'allow', 'for', 'shared', 'boundaries', 'between', 'refined', 'patches', 'our', 'algorithm', 'is', 'implemented', 'within', 'the', 'flash', 'code', 'framework', 'and', 'makes', 'use', 'of', 'the', 'paramesh', 'library', 'permitting', 'efficient', 'use', 'of', 'parallel', 'computers', 'we', 'describe', 'the', 'algorithm', 'and', 'present', 'test', 'results', 'that', 'demonstrate', 'its', 'accuracy']] | [-0.045950258671793906, -0.03376781521434341, -0.1298913106854473, 0.04467890982881987, -0.09370402409695089, -0.17684558331079425, 0.030412834800136762, 0.425863235069084, -0.23593170814482228, -0.34935836737886783, 0.10012336619686157, -0.18122835425726538, -0.14103469289174037, 0.24718703178777582, -0.05718308695802642, 0.08755114123466358, 0.15373031275036433, -0.06297307279947702, -0.0674917606620944, -0.27399369794875383, 0.27237290432233185, 0.10224715255511303, 0.29832323230636704, 0.033511040322039096, 0.15300043116855835, 0.012076861679642684, -0.11529906622378067, 0.025156168422351282, -0.10722605311743141, 0.15236854004961925, 0.19546539399362656, 0.1368846240442335, 0.2603543783050208, -0.4500728728072274, -0.17261760215651953, -0.009361919625440524, 0.1442993636620009, 0.1640327099441839, -0.05785994400364524, -0.2559011481657979, 0.12485018988151014, -0.16516017353916096, -0.11116982063478124, -0.13769545698804514, -0.06931829993568715, 0.037659934222964306, -0.304589969100475, 0.04728121252767215, 0.030986585435346655, 0.027130609489090386, -0.025385184949430237, -0.10666327590921096, 0.03484214872532036, 0.09285249823837408, -0.09250021525769539, 0.002949773239725757, 0.06281411179917909, -0.034137925532247336, -0.1208712626692085, 0.3938372608473791, -0.04377038798217351, -0.26944318073635387, 0.1829864111329828, -0.0199641659689535, -0.09895431027481598, 0.09923662852850698, 0.19168032244834604, 0.19929326910503387, -0.10763801139823738, 0.11667431301958416, -0.02750666418467604, 0.18366493052980376, 0.03593009021521235, -0.0816122467152863, 0.11793361474493784, 0.18547707848206518, 0.05110569118655154, 0.12676312965396347, -0.1037397388877469, -0.10590618892594994, -0.27458495693281293, -0.18440588795402574, -0.191734735546301, -0.08829112938266397, -0.10429961216349122, -0.19815623107743227, 0.35482343474757816, 0.21246631537187136, 0.1007496993323522, 0.09439783496920773, 0.33743465037661646, 0.06468229402283517, 0.10039265444391363, 0.18353242806292006, 0.12729416658458786, 0.11898964835009315, 0.1308585659135133, -0.21559977490410565, 0.022817026990066682, 0.19538841986407837] |
710.4398 | Thermodynamics of DNA loops with long-range correlated structural
disorder | We study the influence of a structural disorder on the thermodynamical
properties of 2D-elastic chains submitted to mechanical/topological constraint
as loops. The disorder is introduced via a spontaneous curvature whose
distribution along the chain presents either no correlation or long-range
correlations (LRC). The equilibrium properties of the one-loop system are
derived numerically and analytically for weak disorder. LRC are shown to favor
the formation of small loop, larger the LRC, smaller the loop size. We use the
mean first passage time formalism to show that the typical short time loop
dynamics is superdiffusive in the presence of LRC. Potential biological
implications on nucleosome positioning and dynamics in eukaryotic chromatin are
discussed.
| q-bio.GN cond-mat.stat-mech | we study the influence of a structural disorder on the thermodynamical properties of 2delastic chains submitted to mechanicaltopological constraint as loops the disorder is introduced via a spontaneous curvature whose distribution along the chain presents either no correlation or longrange correlations lrc the equilibrium properties of the oneloop system are derived numerically and analytically for weak disorder lrc are shown to favor the formation of small loop larger the lrc smaller the loop size we use the mean first passage time formalism to show that the typical short time loop dynamics is superdiffusive in the presence of lrc potential biological implications on nucleosome positioning and dynamics in eukaryotic chromatin are discussed | [['we', 'study', 'the', 'influence', 'of', 'a', 'structural', 'disorder', 'on', 'the', 'thermodynamical', 'properties', 'of', '2delastic', 'chains', 'submitted', 'to', 'mechanicaltopological', 'constraint', 'as', 'loops', 'the', 'disorder', 'is', 'introduced', 'via', 'a', 'spontaneous', 'curvature', 'whose', 'distribution', 'along', 'the', 'chain', 'presents', 'either', 'no', 'correlation', 'or', 'longrange', 'correlations', 'lrc', 'the', 'equilibrium', 'properties', 'of', 'the', 'oneloop', 'system', 'are', 'derived', 'numerically', 'and', 'analytically', 'for', 'weak', 'disorder', 'lrc', 'are', 'shown', 'to', 'favor', 'the', 'formation', 'of', 'small', 'loop', 'larger', 'the', 'lrc', 'smaller', 'the', 'loop', 'size', 'we', 'use', 'the', 'mean', 'first', 'passage', 'time', 'formalism', 'to', 'show', 'that', 'the', 'typical', 'short', 'time', 'loop', 'dynamics', 'is', 'superdiffusive', 'in', 'the', 'presence', 'of', 'lrc', 'potential', 'biological', 'implications', 'on', 'nucleosome', 'positioning', 'and', 'dynamics', 'in', 'eukaryotic', 'chromatin', 'are', 'discussed']] | [-0.21014777962182468, 0.18271485915185387, -0.05256348330561721, 0.12600843108754708, 0.007208529381303612, -0.13223275249191654, -0.014399384736903695, 0.40981790645543587, -0.2616496410118331, -0.2257931289698826, 0.061450725948916526, -0.28943888890373287, -0.1626256655991385, 0.13549175009840603, 0.03555000752825803, 0.04658477738875588, 0.03080675994481789, 0.061933001761811726, -0.030525995629899407, -0.21751402685880114, 0.2817076769157595, 0.1112269289052507, 0.27537943204916127, 0.08572528783313144, 0.05118385377690333, 0.011752486305841066, 0.017708402383354825, 0.06508561790655923, -0.17112587613018643, 0.08365223265932274, 0.14131092978000573, 0.031441902699068595, 0.23485590488470476, -0.44439754289908145, -0.24245674524417812, 0.08644122109158871, 0.15349392717439306, 0.1511720133808638, -0.03499213510744034, -0.2731668148809241, 0.08344684397254926, -0.1528083074906277, -0.1377552596279719, -0.05626744005846184, 0.05031401305587603, 0.07268666796420419, -0.21268652247931433, 0.1260346637316766, 0.07054638418309185, 0.0914796107713509, -0.05215408842703071, -0.06103653966026261, -0.04478642570897253, 0.1541381127632505, 0.057281872391194234, -0.008311479439993106, 0.16670190478854496, -0.10311232549950071, -0.1090206343359143, 0.3491304245597999, -0.04733151544970588, -0.17062725998576594, 0.16861002774986036, -0.15937672061589334, -0.1383349766373771, 0.1357386458682221, 0.16472911595905182, 0.10588683023057673, -0.182979852982173, 0.07161953966581869, 0.03914665150746635, 0.18133712993986015, 0.0384284185732655, 0.07552013805012193, 0.18521214950265824, 0.16609728452535943, 0.04134454123180257, 0.19658690922116057, -0.08190048268236276, -0.20005223655714355, -0.2956756957029121, -0.09067417779879847, -0.16254283279317236, 0.04663906524111645, -0.10469357891477123, -0.2054211107440989, 0.3824863746898984, 0.1543692295968834, 0.17426106998474772, 0.081050715610009, 0.22850343510786225, 0.06843165737905736, 0.08505213909585951, 0.04728545306395705, 0.23104107769317242, 0.157102742292192, 0.053697293179981204, -0.3127067074235187, 0.1167327520061592, 0.09033118764904045] |
710.4399 | Magnetic tight-binding and the iron-chromium enthalpy anomaly | We describe a self consistent magnetic tight-binding theory based in an
expansion of the Hohenberg-Kohn density functional to second order, about a non
spin polarised reference density. We show how a first order expansion about a
density having a trial input magnetic moment leads to the Stoner--Slater rigid
band model. We employ a simple set of tight-binding parameters that accurately
describes electronic structure and energetics, and show these to be
transferable between first row transition metals and their alloys. We make a
number of calculations of the electronic structure of dilute Cr impurities in
Fe which we compare with results using the local spin density approximation.
The rigid band model provides a powerful means for interpreting complex
magnetic configurations in alloys; using this approach we are able to advance a
simple and readily understood explanation for the observed anomaly in the
enthalpy of mixing.
| cond-mat.mtrl-sci | we describe a self consistent magnetic tightbinding theory based in an expansion of the hohenbergkohn density functional to second order about a non spin polarised reference density we show how a first order expansion about a density having a trial input magnetic moment leads to the stonerslater rigid band model we employ a simple set of tightbinding parameters that accurately describes electronic structure and energetics and show these to be transferable between first row transition metals and their alloys we make a number of calculations of the electronic structure of dilute cr impurities in fe which we compare with results using the local spin density approximation the rigid band model provides a powerful means for interpreting complex magnetic configurations in alloys using this approach we are able to advance a simple and readily understood explanation for the observed anomaly in the enthalpy of mixing | [['we', 'describe', 'a', 'self', 'consistent', 'magnetic', 'tightbinding', 'theory', 'based', 'in', 'an', 'expansion', 'of', 'the', 'hohenbergkohn', 'density', 'functional', 'to', 'second', 'order', 'about', 'a', 'non', 'spin', 'polarised', 'reference', 'density', 'we', 'show', 'how', 'a', 'first', 'order', 'expansion', 'about', 'a', 'density', 'having', 'a', 'trial', 'input', 'magnetic', 'moment', 'leads', 'to', 'the', 'stonerslater', 'rigid', 'band', 'model', 'we', 'employ', 'a', 'simple', 'set', 'of', 'tightbinding', 'parameters', 'that', 'accurately', 'describes', 'electronic', 'structure', 'and', 'energetics', 'and', 'show', 'these', 'to', 'be', 'transferable', 'between', 'first', 'row', 'transition', 'metals', 'and', 'their', 'alloys', 'we', 'make', 'a', 'number', 'of', 'calculations', 'of', 'the', 'electronic', 'structure', 'of', 'dilute', 'cr', 'impurities', 'in', 'fe', 'which', 'we', 'compare', 'with', 'results', 'using', 'the', 'local', 'spin', 'density', 'approximation', 'the', 'rigid', 'band', 'model', 'provides', 'a', 'powerful', 'means', 'for', 'interpreting', 'complex', 'magnetic', 'configurations', 'in', 'alloys', 'using', 'this', 'approach', 'we', 'are', 'able', 'to', 'advance', 'a', 'simple', 'and', 'readily', 'understood', 'explanation', 'for', 'the', 'observed', 'anomaly', 'in', 'the', 'enthalpy', 'of', 'mixing']] | [-0.10859389531111077, 0.11069156382148646, -0.07096164262409067, 0.09061948246390956, -0.054071984963712995, -0.07366054108157963, 0.07724660361011454, 0.427110667991732, -0.2573472339907414, -0.3014319166826032, -0.007355010892440389, -0.25876412299702634, -0.1707990955812954, 0.12970600669049182, 0.03834027071138258, 0.016480722285520572, -0.0057496553119206865, 0.018055327881414156, -0.13201528396196924, -0.1739461085257622, 0.2804159832356328, 0.04134265087110192, 0.2435350391128055, 0.0547794470013204, 0.05175742064602673, 0.014083577941946842, 0.055499738357453185, 0.07561607611971302, -0.14948897525918275, 0.16486786674851409, 0.2275152785143444, 0.004639480150649911, 0.1978285713068379, -0.4930166800122161, -0.21424563974752645, 0.018942704204456894, 0.06948239311015794, 0.17076035184782468, -0.05226064070414465, -0.23190167695088507, 0.07047400837503634, -0.20618033183452028, -0.1667429946291332, -0.1687691390963753, -0.021417342950231753, 0.021284750949304838, -0.2918229818749535, 0.10688167202800929, 0.018437522518858836, 0.054462701258429905, -0.12482256699561864, -0.09980822223323313, -0.035596540441958015, 0.08049119225462208, 0.011370910007597787, 0.03359779145347176, 0.13132625517038093, -0.084253160672106, -0.0936573264360024, 0.40769123846756206, -0.08217900344235757, -0.14961906203550737, 0.16347465424153668, -0.1696368667844136, -0.14602953323058887, 0.13123648841637414, 0.1337950731321544, 0.10968747634401584, -0.15421374678901573, 0.07739113926418595, -0.023660163465118803, 0.19667593312247858, 0.004421276123412735, -0.001111174686128026, 0.23240291049795134, 0.1953287652186509, 0.028653732048334567, 0.10506646402287655, -0.10691396847132828, -0.06788671060979783, -0.2673446456217891, -0.17368640270982902, -0.22187900601990418, 0.06875650962111313, -0.07340238872676164, -0.20672510057635657, 0.42021724742583255, 0.16738297867709184, 0.20769247204925007, 0.003663434343366929, 0.2659042725059484, 0.11365368503068128, 0.02508487175479271, 0.06894645278530938, 0.2033029598333723, 0.19671739489361123, 0.051423756763912164, -0.21613340733195915, 0.06692085397214843, 0.06554108461482333] |
710.44 | HNC, HCN and CN in Seyfert galaxies | Bright HNC 1--0 emission has been found towards several Seyfert galaxies.
This is unexpected since traditionally HNC is a tracer of cold (10 K) gas, and
the molecular gas of luminous galaxies like Seyferts is thought to have bulk
kinetic temperatures surpassing 50 K. In this work we aim to distinguish the
cause of the bright HNC and to model the physical conditions of the HNC and HCN
emitting gas. We have used SEST, JCMT and IRAM 30m telescopes to observe HNC
3-2 and HCN 3-2 line emission in a selection of 5 HNC-luminous Seyfert
galaxies. We estimate and discuss the excitation conditions of HCN and HNC in
NGC 1068, NGC 3079, NGC 2623 and NGC 7469, based on the observed 3-2/1-0 line
intensity ratios. We also observed CN 1-0 and 2-1 emission and discuss its role
in photon and X-ray dominated regions. HNC 3-2 was detected in 3 galaxies (NGC
3079, NGC 1068 and NGC 2623). HCN 3-2 was detected in NGC 3079, NGC 1068 and
NGC 1365. The HCN 3-2/1-0 ratio is lower than 0.3 only in NGC 3079, whereas the
HNC 3-2/1-0 ratio is larger than 0.3 only in NGC 2623. The HCN/HNC 1-0 and 3-2
line ratios are larger than unity in all the galaxies. The HCN/HNC 3-2 line
ratio is lower than unity only in NGC 2623, similar to Arp 220, Mrk 231 and NGC
4418. In three of the galaxies the HNC emissions emerge from gas of densities
n<10^5 cm^3, where the chemistry is dominated by ion-neutral reactions. In NGC
1068 the emission of HNC emerges from lower (<10^5 cm^3) density gas than HCN
(>10^5 cm^3). Instead, the emissions of HNC and HCN emerge from the same gas in
NGC 3079. The observed HCN/HNC and CN/HCN line ratios favor a PDR scenario,
rather than an XDR one. However, the N(HNC)/N(HCN) column density ratios
obtained for NGC 3079 can be found only in XDR environments.
| astro-ph | bright hnc 10 emission has been found towards several seyfert galaxies this is unexpected since traditionally hnc is a tracer of cold 10 k gas and the molecular gas of luminous galaxies like seyferts is thought to have bulk kinetic temperatures surpassing 50 k in this work we aim to distinguish the cause of the bright hnc and to model the physical conditions of the hnc and hcn emitting gas we have used sest jcmt and iram 30m telescopes to observe hnc 32 and hcn 32 line emission in a selection of 5 hncluminous seyfert galaxies we estimate and discuss the excitation conditions of hcn and hnc in ngc 1068 ngc 3079 ngc 2623 and ngc 7469 based on the observed 3210 line intensity ratios we also observed cn 10 and 21 emission and discuss its role in photon and xray dominated regions hnc 32 was detected in 3 galaxies ngc 3079 ngc 1068 and ngc 2623 hcn 32 was detected in ngc 3079 ngc 1068 and ngc 1365 the hcn 3210 ratio is lower than 03 only in ngc 3079 whereas the hnc 3210 ratio is larger than 03 only in ngc 2623 the hcnhnc 10 and 32 line ratios are larger than unity in all the galaxies the hcnhnc 32 line ratio is lower than unity only in ngc 2623 similar to arp 220 mrk 231 and ngc 4418 in three of the galaxies the hnc emissions emerge from gas of densities n105 cm3 where the chemistry is dominated by ionneutral reactions in ngc 1068 the emission of hnc emerges from lower 105 cm3 density gas than hcn 105 cm3 instead the emissions of hnc and hcn emerge from the same gas in ngc 3079 the observed hcnhnc and cnhcn line ratios favor a pdr scenario rather than an xdr one however the nhncnhcn column density ratios obtained for ngc 3079 can be found only in xdr environments | [['bright', 'hnc', '10', 'emission', 'has', 'been', 'found', 'towards', 'several', 'seyfert', 'galaxies', 'this', 'is', 'unexpected', 'since', 'traditionally', 'hnc', 'is', 'a', 'tracer', 'of', 'cold', '10', 'k', 'gas', 'and', 'the', 'molecular', 'gas', 'of', 'luminous', 'galaxies', 'like', 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710.4401 | Dynamics of axialized laser-cooled ions in a Penning trap | We report the experimental characterization of axialization - a method of
reducing the magnetron motion of a small number of ions stored in a Penning
trap. This is an important step in the investigation of the suitability of
Penning traps for quantum information processing. The magnetron motion was
coupled to the laser-cooled modified cyclotron motion by the application of a
near-resonant oscillating quadrupole potential (the "axialization drive").
Measurement of cooling rates of the radial motions of the ions showed an
order-of-magnitude increase in the damping rate of the magnetron motion with
the axialization drive applied. The experimental results are in good
qualitative agreement with a recent theoretical study. In particular, a
classical avoided crossing was observed in the motional frequencies as the
axialization drive frequency was swept through the optimum value, proving that
axialization is indeed a resonant effect.
| quant-ph | we report the experimental characterization of axialization a method of reducing the magnetron motion of a small number of ions stored in a penning trap this is an important step in the investigation of the suitability of penning traps for quantum information processing the magnetron motion was coupled to the lasercooled modified cyclotron motion by the application of a nearresonant oscillating quadrupole potential the axialization drive measurement of cooling rates of the radial motions of the ions showed an orderofmagnitude increase in the damping rate of the magnetron motion with the axialization drive applied the experimental results are in good qualitative agreement with a recent theoretical study in particular a classical avoided crossing was observed in the motional frequencies as the axialization drive frequency was swept through the optimum value proving that axialization is indeed a resonant effect | [['we', 'report', 'the', 'experimental', 'characterization', 'of', 'axialization', 'a', 'method', 'of', 'reducing', 'the', 'magnetron', 'motion', 'of', 'a', 'small', 'number', 'of', 'ions', 'stored', 'in', 'a', 'penning', 'trap', 'this', 'is', 'an', 'important', 'step', 'in', 'the', 'investigation', 'of', 'the', 'suitability', 'of', 'penning', 'traps', 'for', 'quantum', 'information', 'processing', 'the', 'magnetron', 'motion', 'was', 'coupled', 'to', 'the', 'lasercooled', 'modified', 'cyclotron', 'motion', 'by', 'the', 'application', 'of', 'a', 'nearresonant', 'oscillating', 'quadrupole', 'potential', 'the', 'axialization', 'drive', 'measurement', 'of', 'cooling', 'rates', 'of', 'the', 'radial', 'motions', 'of', 'the', 'ions', 'showed', 'an', 'orderofmagnitude', 'increase', 'in', 'the', 'damping', 'rate', 'of', 'the', 'magnetron', 'motion', 'with', 'the', 'axialization', 'drive', 'applied', 'the', 'experimental', 'results', 'are', 'in', 'good', 'qualitative', 'agreement', 'with', 'a', 'recent', 'theoretical', 'study', 'in', 'particular', 'a', 'classical', 'avoided', 'crossing', 'was', 'observed', 'in', 'the', 'motional', 'frequencies', 'as', 'the', 'axialization', 'drive', 'frequency', 'was', 'swept', 'through', 'the', 'optimum', 'value', 'proving', 'that', 'axialization', 'is', 'indeed', 'a', 'resonant', 'effect']] | [-0.1506565765518209, 0.1709119844829505, -0.030056750224700765, -0.034021211473399475, -0.010206273267639504, -0.09948371717557851, 0.048227979749292674, 0.36672961705809703, -0.23005415125331585, -0.2907736530988072, 0.04704809824023328, -0.24731075641550665, -0.04377857938010678, 0.2604375051712428, -0.03153917617906911, 0.07230626179016722, 0.09915007683920904, 0.019442534091059064, -0.015037428181065057, -0.17665660080661916, 0.21361869534450598, 0.13061399568476295, 0.29303515833748534, 0.04301263207731688, 0.09600727397449099, -0.03827970091294011, 0.04573614398638407, -0.003021474792689517, -0.12421786595007069, 0.10896520156318834, 0.20835413073149064, 0.031781850625639374, 0.29233952724725765, -0.4342167372013901, -0.194405741625182, 0.03797696498636008, 0.154280025974267, 0.1823485364422094, -0.14428307459288128, -0.26687435154040495, -0.004506577994080557, -0.15686042112655993, -0.1618313126475213, -0.04402062734521493, 0.025227061756279156, 0.08047843989713685, -0.3006082462632786, 0.0722822847681633, 0.08696874282390311, 0.10087085998468641, -0.12758750417877152, -0.07619993021860179, 0.022363309201824923, 0.08680391476314137, 0.0029947751613360815, 0.05218308042917077, 0.21020137814575454, -0.09018734120257685, -0.10939731669234301, 0.36008390761064907, -0.09326315326852373, -0.13348165520912278, 0.14258892676435356, -0.19766330089507814, -0.05500844993250634, 0.17086257228114898, 0.14478024046368682, 0.09799538190439479, -0.14648180051501739, 0.030468275558593196, 0.003978901974640895, 0.172824043249104, 0.13441032073393033, 0.001678007109412515, 0.21069807893017886, 0.18520872654440557, 0.01979434885678516, 0.20048933619155845, -0.12877613887869063, -0.06536708876112665, -0.27041423996316566, -0.1567866392231182, -0.17250717118166495, 0.0267013483107144, -0.032575107779374106, -0.11503700599533276, 0.383557240465197, 0.14169641626801383, 0.1914489686732059, -0.07280894956868682, 0.3335624738879826, 0.15082406482331967, 0.0461422836161691, 0.0033466977934501524, 0.3155362776251159, 0.17460778066247323, 0.12257110171924358, -0.35288564781860815, 0.05601477561994334, 0.009770242736904302] |
710.4402 | Control of Optical Dynamic Memory Capacity of an Atomic Bose-Einstein
Condensate | Light storage in an atomic Bose-Einstein condensate is one of the most
practical usage of these coherent atom-optical systems. In order to make them
even more practical, it is necessary to enhance our ability to inject multiple
pulses into the condensate. In this paper, we report that dispersion of pulses
injected into the condensate can be compensated by optical nonlinearity. In
addition, we will present a brief review of our earlier results in which
enhancement of light storage capacity is accomplished by utilizing multi-mode
light propagation or choosing an optimal set of experimental parameters.
| quant-ph cond-mat.other | light storage in an atomic boseeinstein condensate is one of the most practical usage of these coherent atomoptical systems in order to make them even more practical it is necessary to enhance our ability to inject multiple pulses into the condensate in this paper we report that dispersion of pulses injected into the condensate can be compensated by optical nonlinearity in addition we will present a brief review of our earlier results in which enhancement of light storage capacity is accomplished by utilizing multimode light propagation or choosing an optimal set of experimental parameters | [['light', 'storage', 'in', 'an', 'atomic', 'boseeinstein', 'condensate', 'is', 'one', 'of', 'the', 'most', 'practical', 'usage', 'of', 'these', 'coherent', 'atomoptical', 'systems', 'in', 'order', 'to', 'make', 'them', 'even', 'more', 'practical', 'it', 'is', 'necessary', 'to', 'enhance', 'our', 'ability', 'to', 'inject', 'multiple', 'pulses', 'into', 'the', 'condensate', 'in', 'this', 'paper', 'we', 'report', 'that', 'dispersion', 'of', 'pulses', 'injected', 'into', 'the', 'condensate', 'can', 'be', 'compensated', 'by', 'optical', 'nonlinearity', 'in', 'addition', 'we', 'will', 'present', 'a', 'brief', 'review', 'of', 'our', 'earlier', 'results', 'in', 'which', 'enhancement', 'of', 'light', 'storage', 'capacity', 'is', 'accomplished', 'by', 'utilizing', 'multimode', 'light', 'propagation', 'or', 'choosing', 'an', 'optimal', 'set', 'of', 'experimental', 'parameters']] | [-0.15678449928577237, 0.17119116602407303, -0.08132076329809237, -0.0006848135046621269, -0.07511852596430703, -0.12758310510222107, 0.05453886691743429, 0.4316844247043767, -0.2563584374940082, -0.2787685943965582, 0.06312105118698302, -0.2657376554338856, -0.10168542251228652, 0.23874496559344946, -0.06732431265644412, 0.06008176675606321, 0.04763076792253142, -0.025028552067406635, -0.004123966665344036, -0.29381466654941757, 0.314252256901261, 0.04896583149526665, 0.28971938478780235, 0.0729011735145716, 0.05579562739845603, 0.020970424736275316, 0.011271157886515906, -0.046446689236116535, -0.06915251149071759, 0.15330338483042222, 0.24746126613203198, 0.09411809535479133, 0.26522412416624264, -0.4848611401245394, -0.244903576005488, 0.0973671795998482, 0.20061144633051453, 0.1844981107600727, -0.09093817211319123, -0.27575147360008445, 0.05478036769249655, -0.1673981856673639, -0.14446136077489466, -0.11922558241503987, -0.005954825621534219, 0.0375791865653616, -0.2577614582024832, 0.009621502227209349, 0.061868801594097564, 0.014295794902012703, -0.03290320413454654, -0.04713831353496681, 0.03697544721232608, 0.06963324838843038, -0.014555219201707935, 0.01929130241958464, 0.10614386283634032, -0.14364681432291151, -0.054615832421869195, 0.3944047951793417, -0.08851706606281445, -0.13059565171282342, 0.12134122947216074, -0.12266135777618013, -0.041591200947840794, 0.13247585050920221, 0.2059754316615773, 0.08078103096402706, -0.17196108267315605, -0.042527173393148376, -0.01463066478398569, 0.21977499604938514, 0.06777219825047762, 0.13026623335231016, 0.23899619102953595, 0.2248115977470545, 0.024446240774890843, 0.19446800428348535, -0.07177012056846696, -0.060144854124952504, -0.27890906195673953, -0.15355146715932705, -0.1754362586751937, 0.05567769007261922, -0.02935394726475661, -0.0795200044645908, 0.3981028753233717, 0.2184435391471662, 0.1719100219395725, -0.038197252591031586, 0.3550438279721965, 0.12550081071048166, 0.048452327136901466, 0.0324305656435404, 0.27445761792044693, 0.09949639965185618, 0.09609696883311931, -0.23030596935348782, 0.003977272600094055, -0.0321542934930705] |
710.4403 | Deterministic distributed dense coding with stabilizer states | We consider the possibility of using stabilizer states to perform
deterministic dense coding among multiple senders and a single receiver. In the
model we studied, the utilized stabilizer state is partitioned into several
subsystems and then each subsystem is held by a distinct party. We present a
sufficient condition for a stabilizer state to be useful for deterministic
distributed dense coding with respect to a given partition plan. The
corresponding protocol is also constructed. Furthermore, we propose a method to
partially solve a more general problem of finding the set of achievable
alphabet sizes for an arbitrary stabilizer state with respect to an arbitrary
partition plan. Finally, our work provides a new perspective from the
stabilizer formalism to view the standard dense coding protocol and also
unifies several previous results in a single framework.
| quant-ph | we consider the possibility of using stabilizer states to perform deterministic dense coding among multiple senders and a single receiver in the model we studied the utilized stabilizer state is partitioned into several subsystems and then each subsystem is held by a distinct party we present a sufficient condition for a stabilizer state to be useful for deterministic distributed dense coding with respect to a given partition plan the corresponding protocol is also constructed furthermore we propose a method to partially solve a more general problem of finding the set of achievable alphabet sizes for an arbitrary stabilizer state with respect to an arbitrary partition plan finally our work provides a new perspective from the stabilizer formalism to view the standard dense coding protocol and also unifies several previous results in a single framework | [['we', 'consider', 'the', 'possibility', 'of', 'using', 'stabilizer', 'states', 'to', 'perform', 'deterministic', 'dense', 'coding', 'among', 'multiple', 'senders', 'and', 'a', 'single', 'receiver', 'in', 'the', 'model', 'we', 'studied', 'the', 'utilized', 'stabilizer', 'state', 'is', 'partitioned', 'into', 'several', 'subsystems', 'and', 'then', 'each', 'subsystem', 'is', 'held', 'by', 'a', 'distinct', 'party', 'we', 'present', 'a', 'sufficient', 'condition', 'for', 'a', 'stabilizer', 'state', 'to', 'be', 'useful', 'for', 'deterministic', 'distributed', 'dense', 'coding', 'with', 'respect', 'to', 'a', 'given', 'partition', 'plan', 'the', 'corresponding', 'protocol', 'is', 'also', 'constructed', 'furthermore', 'we', 'propose', 'a', 'method', 'to', 'partially', 'solve', 'a', 'more', 'general', 'problem', 'of', 'finding', 'the', 'set', 'of', 'achievable', 'alphabet', 'sizes', 'for', 'an', 'arbitrary', 'stabilizer', 'state', 'with', 'respect', 'to', 'an', 'arbitrary', 'partition', 'plan', 'finally', 'our', 'work', 'provides', 'a', 'new', 'perspective', 'from', 'the', 'stabilizer', 'formalism', 'to', 'view', 'the', 'standard', 'dense', 'coding', 'protocol', 'and', 'also', 'unifies', 'several', 'previous', 'results', 'in', 'a', 'single', 'framework']] | [-0.12208794252060827, 0.09092369338314209, -0.09512849433743742, 0.011901326198652109, -0.01991403812834465, -0.2206366712317816, 0.0980778710322399, 0.379153646410568, -0.3031217181610305, -0.25427998828010134, 0.06688732307173187, -0.22068035111540177, -0.11155909470129591, 0.17951179620177388, -0.10660158794672131, 0.0991402890536684, 0.05983509945877786, 0.07392066949283455, -0.07676893413073814, -0.2470173202958931, 0.32061869263346654, 0.035102459727160966, 0.2839268112221538, -0.0022054825207468735, 0.10499584520888973, 0.016974610656173204, 0.006279133630346562, 0.02962732843971297, -0.10373030013036427, 0.1377505016944948, 0.2746337721065215, 0.19399875638061273, 0.25887137479079303, -0.41367514010296386, -0.20200923334723755, 0.09845566940181125, 0.10700904829566603, 0.17829811043425728, -0.04508512352348684, -0.2819273488651683, 0.11337373182073292, -0.22378912659139552, -0.08297280571944733, -0.052164994159351975, -0.026198145464312896, -0.06628923005521742, -0.3299234384573551, -0.011848639801523383, 0.043992214615077976, -0.0035891383312948383, -0.05894510397590252, -0.0796511976800706, 0.045079007319091306, 0.16541936295107007, -0.08220834946329358, 0.06373244071372354, 0.0838627341384096, -0.06141071721004433, -0.14443893055431545, 0.36663932839769925, -0.020252842791882386, -0.2601662749935414, 0.16235232618706885, -0.0464695824289333, -0.1771029224515017, 0.09142390959340134, 0.17478552814260293, 0.12951859978458552, -0.16670216919520675, 0.05584851991334833, -0.09399692633592371, 0.20185456828408832, 0.034023586917779784, 0.07177927898835572, 0.15603003297835144, 0.1389100420177539, 0.1121459168958853, 0.24026742060894646, -0.05393135346430562, -0.11983831116665544, -0.30960198164849767, -0.14567166224881462, -0.1781800082231413, 0.030771630433902367, -0.06542447686802211, -0.13379621158228883, 0.41899344671184, 0.14213944480879537, 0.1796462324329777, 0.08918355562404465, 0.30814691933233346, 0.05873947178759463, 0.011735584971289943, 0.12901768266612582, 0.13849459816493206, 0.14317145157056346, -0.0015109690573455682, -0.17352740352829127, 0.03169774984482175, 0.056689460273595775] |
710.4404 | Attrition and Non-Response in Panel Data: The Case of the Canadian
Survey of Labor and Income Dynamics | This paper provides an analysis of the effects of attrition and non-response
on employment and wages using the Canadian Survey of Labour and Income
Dynamics. We consider a structural model composed of three freely correlated
equations for nonattrition/response, employment and wages. The model is
estimated using microdata from 22,990 individuals who provided sufficient
information in the first wave of the 1996-2001 panel. The main findings of the
paper are that attrition is not random. Attritors and non-respondents likely
are less attached to employment and come from low-income population. The
correlation between non-attrition and employment is positive and statistically
significant, though small. Also, wage estimates are biased upwards. Observed
wages are on average higher than wages that would be observed if all the
individuals initially selected in the panel remained in the sample.
| stat.AP | this paper provides an analysis of the effects of attrition and nonresponse on employment and wages using the canadian survey of labour and income dynamics we consider a structural model composed of three freely correlated equations for nonattritionresponse employment and wages the model is estimated using microdata from 22990 individuals who provided sufficient information in the first wave of the 19962001 panel the main findings of the paper are that attrition is not random attritors and nonrespondents likely are less attached to employment and come from lowincome population the correlation between nonattrition and employment is positive and statistically significant though small also wage estimates are biased upwards observed wages are on average higher than wages that would be observed if all the individuals initially selected in the panel remained in the sample | [['this', 'paper', 'provides', 'an', 'analysis', 'of', 'the', 'effects', 'of', 'attrition', 'and', 'nonresponse', 'on', 'employment', 'and', 'wages', 'using', 'the', 'canadian', 'survey', 'of', 'labour', 'and', 'income', 'dynamics', 'we', 'consider', 'a', 'structural', 'model', 'composed', 'of', 'three', 'freely', 'correlated', 'equations', 'for', 'nonattritionresponse', 'employment', 'and', 'wages', 'the', 'model', 'is', 'estimated', 'using', 'microdata', 'from', '22990', 'individuals', 'who', 'provided', 'sufficient', 'information', 'in', 'the', 'first', 'wave', 'of', 'the', '19962001', 'panel', 'the', 'main', 'findings', 'of', 'the', 'paper', 'are', 'that', 'attrition', 'is', 'not', 'random', 'attritors', 'and', 'nonrespondents', 'likely', 'are', 'less', 'attached', 'to', 'employment', 'and', 'come', 'from', 'lowincome', 'population', 'the', 'correlation', 'between', 'nonattrition', 'and', 'employment', 'is', 'positive', 'and', 'statistically', 'significant', 'though', 'small', 'also', 'wage', 'estimates', 'are', 'biased', 'upwards', 'observed', 'wages', 'are', 'on', 'average', 'higher', 'than', 'wages', 'that', 'would', 'be', 'observed', 'if', 'all', 'the', 'individuals', 'initially', 'selected', 'in', 'the', 'panel', 'remained', 'in', 'the', 'sample']] | [-0.043742908354033716, 0.13266595650668478, -0.06856330948357936, 0.092376316397349, -0.07893411015174934, -0.10747568971419241, 0.08784859531442635, 0.36834567427285947, -0.1972326125833206, -0.3246380281634629, 0.1304220653403263, -0.3651007245935034, -0.11615497793536633, 0.1919719698089466, -0.11230039722431684, -0.029761833877273602, 0.05942334386782022, 0.02036371443318785, 0.0327218906586495, -0.3037140350952541, 0.29775091438932577, 0.07470562283560866, 0.2949568430703948, 0.00316706973944747, 0.08567914482773631, -0.02054427477196441, -0.09907354612187191, 0.04098188932039193, -0.09486806686311411, 0.13754973859613528, 0.22652484498757985, 0.14834776233510638, 0.38043625981663354, -0.418173085337628, -0.1391583266085945, 0.1209435102318821, 0.11453122073908162, 0.08314906753366813, -0.03915533630242862, -0.2673464363615494, 0.04221123971819907, -0.18938550835446222, -0.08900869422359392, 0.0011764224109356292, 0.011896010939381085, 0.06904365224590947, -0.27243820098010474, 0.1395865368738214, -0.00660822887221002, 0.11520726345406729, -0.099553184180877, -0.17870316761400318, -0.07278144729934866, 0.19999715937956353, 0.1006940141242012, -0.029430792655148252, 0.12272932550331461, -0.11590898804024619, -0.06746153014637457, 0.36581330279841495, -0.015226335356260279, -0.1484025696554454, 0.15969014679285465, -0.18251078920002328, -0.12287144734909816, 0.09744036176834925, 0.2365097661022446, 0.03593799255031627, -0.20016881718402146, -0.030164258987497305, -0.04187149388587841, 0.19296771824156167, 0.0318927636508306, -0.02069533221219899, 0.19430738098162692, 0.12951587982388446, 0.05547902668695315, 0.09382481051488867, -0.08176615156844491, -0.11544929151568795, -0.24221805523120565, -0.11232681953697465, -0.1495165471033033, 0.05746397968277961, -0.05565533507888176, -0.15007766829512548, 0.36508965154280304, 0.15861274973940453, 0.14787438465100422, 0.08546646895774757, 0.2575484272010726, 0.0732870911720056, 0.04904624905611854, 0.10148232797291712, 0.19246144049975555, 0.04958869817380673, 0.08778042369158356, -0.1661322303916677, 0.17403120396920713, -0.05383885143601219] |
710.4405 | Chiral Low-Energy Constants: Status and Prospects | Chiral low-energy constants (LECs) carry the information of short-distance
dynamics involving heavier degrees of freedom not present in the chiral
Lagrangian. Our knowledge of the LECs is all-important at phenomenological
level because their relevance in the prediction of hadronic observables at
low-energies and on the other side because they provide hints on the
construction of a dual theory of QCD in the low-energy regime. I review briefly
the status of these important couplings.
| hep-ph | chiral lowenergy constants lecs carry the information of shortdistance dynamics involving heavier degrees of freedom not present in the chiral lagrangian our knowledge of the lecs is allimportant at phenomenological level because their relevance in the prediction of hadronic observables at lowenergies and on the other side because they provide hints on the construction of a dual theory of qcd in the lowenergy regime i review briefly the status of these important couplings | [['chiral', 'lowenergy', 'constants', 'lecs', 'carry', 'the', 'information', 'of', 'shortdistance', 'dynamics', 'involving', 'heavier', 'degrees', 'of', 'freedom', 'not', 'present', 'in', 'the', 'chiral', 'lagrangian', 'our', 'knowledge', 'of', 'the', 'lecs', 'is', 'allimportant', 'at', 'phenomenological', 'level', 'because', 'their', 'relevance', 'in', 'the', 'prediction', 'of', 'hadronic', 'observables', 'at', 'lowenergies', 'and', 'on', 'the', 'other', 'side', 'because', 'they', 'provide', 'hints', 'on', 'the', 'construction', 'of', 'a', 'dual', 'theory', 'of', 'qcd', 'in', 'the', 'lowenergy', 'regime', 'i', 'review', 'briefly', 'the', 'status', 'of', 'these', 'important', 'couplings']] | [-0.12440224879178895, 0.20517431785135645, -0.08901462382764543, 0.06369197737482976, -0.07760152299824642, -0.10466509029805048, 0.051003921807309845, 0.28844178684234417, -0.21421362436695457, -0.25001861144826837, 0.05745515665071315, -0.30351980438787646, -0.10607646463107165, 0.08621555724984979, 0.0487586462564052, 0.008471904399052058, 0.027575775528045958, 0.10742843839737, -0.07883377961514594, -0.1957689562608322, 0.31354002324762204, 0.08577525410290858, 0.2222507908646885, 0.1957418185671511, 0.04032516014468793, 0.027078176449907766, -0.06533862857709397, -0.08653953216000371, -0.1742123527171677, 0.1381830328896846, 0.2750023799399807, 0.05191210059334256, 0.13842451666826255, -0.4544743809925571, -0.175778096024671, 0.02119509453489764, 0.12336333387225151, 0.1440557929023794, -0.007976409408251105, -0.24497666944150034, 0.016718858176816818, -0.13814344361092742, -0.18521761196372036, -0.15398356086281065, -0.05549524330904018, -0.042186602312203954, -0.2236055973024197, 0.07117877223796837, 0.009532430030609646, 0.07128003535613622, 0.00662126588118454, -0.22708185037521467, -0.013610237239770694, 0.10063065582095351, 0.1406818264553145, -0.0044865965430962865, 0.15123649815429155, -0.24431454834898245, -0.13802790852926977, 0.4383686674018837, -0.01638215851383156, -0.1839814937533173, 0.15701684849464323, -0.14739585928108595, -0.23091512209774084, 0.0971956314416985, 0.18148480599135328, 0.10785466766826911, -0.16092571442028228, 0.15167760243559614, 0.009611245525413996, 0.15687030063597612, 0.010803669435928946, 0.1752059298554716, 0.2775417110844426, 0.16279104003708247, -0.02896092000277075, 0.013364463369202583, -0.028301119491815158, -0.14725774013092868, -0.43577841133491635, -0.046334704955519904, -0.12773105588881936, 0.058705732982473335, -0.10425216134949364, -0.11332016044666302, 0.42140660697772897, 0.18716060045998134, 0.18676224176784698, -0.018724167304853462, 0.28685445910039015, 0.051640361989210425, 0.058688733009111184, 0.020923783077718052, 0.35046446447783747, 0.14961915986280735, 0.08362263742808813, -0.2775794336100249, 0.023582317502786443, 0.11506536849200318] |
710.4406 | Rigidity and non local connectivity of Julia sets of some quadratic
polynomials | For an infinitely renormalizable quadratic map $f_c: z\mapsto z^2+c$ with the
sequence of renormalization periods ${k_m}$ and rotation numbers
${t_m=p_m/q_m}, we prove that if $\limsup k_m^{-1}\log |p_m|>0$, then the
Mandelbrot set is locally connected at $c$. We prove also that if $\limsup
|t_{m+1}|^{1/q_m}<1$ and $q_m\to \infty$, then the Julia set of $f_c$ is not
locally connected and the Mandelbrot set is locally connected at $c$ provided
that all the renormalizations are non-primitive (satellite). This quantifies a
construction of A. Douady and J. Hubbard, and weakens a condition proposed by
J. Milnor.
Abstract of the Addendum: We improve one of the main results of the above
paper.
| math.DS math.CV | for an infinitely renormalizable quadratic map f_c zmapsto z2c with the sequence of renormalization periods k_m and rotation numbers t_mp_mq_m we prove that if limsup k_m1log p_m0 then the mandelbrot set is locally connected at c we prove also that if limsup t_m11q_m1 and q_mto infty then the julia set of f_c is not locally connected and the mandelbrot set is locally connected at c provided that all the renormalizations are nonprimitive satellite this quantifies a construction of a douady and j hubbard and weakens a condition proposed by j milnor abstract of the addendum we improve one of the main results of the above paper | [['for', 'an', 'infinitely', 'renormalizable', 'quadratic', 'map', 'f_c', 'zmapsto', 'z2c', 'with', 'the', 'sequence', 'of', 'renormalization', 'periods', 'k_m', 'and', 'rotation', 'numbers', 't_mp_mq_m', 'we', 'prove', 'that', 'if', 'limsup', 'k_m1log', 'p_m0', 'then', 'the', 'mandelbrot', 'set', 'is', 'locally', 'connected', 'at', 'c', 'we', 'prove', 'also', 'that', 'if', 'limsup', 't_m11q_m1', 'and', 'q_mto', 'infty', 'then', 'the', 'julia', 'set', 'of', 'f_c', 'is', 'not', 'locally', 'connected', 'and', 'the', 'mandelbrot', 'set', 'is', 'locally', 'connected', 'at', 'c', 'provided', 'that', 'all', 'the', 'renormalizations', 'are', 'nonprimitive', 'satellite', 'this', 'quantifies', 'a', 'construction', 'of', 'a', 'douady', 'and', 'j', 'hubbard', 'and', 'weakens', 'a', 'condition', 'proposed', 'by', 'j', 'milnor', 'abstract', 'of', 'the', 'addendum', 'we', 'improve', 'one', 'of', 'the', 'main', 'results', 'of', 'the', 'above', 'paper']] | [-0.1771764944833104, 0.14718629232746674, -0.051204591500803386, 0.05387808253186395, -0.059227186130673286, -0.14408385892407877, 0.06219382617290657, 0.2980532306476985, -0.3038121234662462, -0.1866495516888871, 0.08326196129258612, -0.3184885688066727, -0.1662196183097687, 0.20511877515680607, -0.08784723061189922, -0.013060323782219082, 0.030884192896877775, 0.05111811930396695, -0.005117169154881693, -0.32225160782990775, 0.36561742460926866, -0.04602228145640675, 0.17912394123089656, 0.1011397841358834, 0.10289191881293837, -0.03070337635852249, 0.0010501276367426951, 0.02120930638791311, -0.1920958377574634, 0.08118946966945682, 0.22309476402726505, 0.10603176763207459, 0.2636317707699641, -0.30829963191080434, -0.10130377871527263, 0.1679545944547373, 0.1190517344627308, -0.004998949658365386, 0.05132956323813241, -0.2434210348044439, 0.1725395970878717, -0.15735430286570204, -0.16464977358274235, -0.057172571303147714, 0.09720645300896451, 0.04428422171161464, -0.27873187930332405, 0.00419995739870465, 0.13835965413231366, 0.09092967415062508, -0.025051820469964847, -0.09350431148921794, -0.12334900831407176, 0.08220314799282367, 0.00322741207592927, 0.1188622200723258, 0.09737874390004148, -0.026604591128831304, -0.0635296524511558, 0.33012992962918214, -0.08310464678313767, -0.19414243472758497, 0.1676875754941882, -0.17355642240439165, -0.17767622903632554, 0.10815413152835894, 0.05587383130528402, 0.08566490290594278, -0.09213764234660667, 0.21491680818662914, -0.11940650762713487, 0.14452872550723575, 0.10836885062203107, -0.05323088788289097, 0.12000972556300682, 0.06729302985944074, 0.1394384958882733, 0.13254915783873364, -0.006996927598472869, -0.006502052044062553, -0.38392266490736443, -0.1436109405502534, -0.21626709321730467, 0.10070563686477357, -0.08294788601339707, -0.16593716903658823, 0.37296384294508117, 0.10137889164011224, 0.21211550518003577, 0.1568166133163884, 0.2305594028923476, 0.11364924131663826, 0.018244695925790044, 0.16362294533963104, 0.12092771676212254, 0.1296729412123487, -0.018646791614223234, -0.14974525628500793, -0.007183659877074827, 0.17495580629381066] |
710.4407 | Planetesimal accretion in binary star systems | Numerical simulations of planetesimal accretion in circumprimary and
circumbinary orbits are described. The secular perturbations by the com- panion
star and gas drag are included in our models. We derive limits on the
parameters of the binary system for which accretion and then planetary forma-
tion are possible. In the circumbinary case we also outline the radial distance
from the baricenter of the stars beyond which accumulation always occurs. Hy-
drodynamical simulations are also presented to validate our N-body approach
based on the axisymmetric approximation for the gas of the disk.
| astro-ph | numerical simulations of planetesimal accretion in circumprimary and circumbinary orbits are described the secular perturbations by the com panion star and gas drag are included in our models we derive limits on the parameters of the binary system for which accretion and then planetary forma tion are possible in the circumbinary case we also outline the radial distance from the baricenter of the stars beyond which accumulation always occurs hy drodynamical simulations are also presented to validate our nbody approach based on the axisymmetric approximation for the gas of the disk | [['numerical', 'simulations', 'of', 'planetesimal', 'accretion', 'in', 'circumprimary', 'and', 'circumbinary', 'orbits', 'are', 'described', 'the', 'secular', 'perturbations', 'by', 'the', 'com', 'panion', 'star', 'and', 'gas', 'drag', 'are', 'included', 'in', 'our', 'models', 'we', 'derive', 'limits', 'on', 'the', 'parameters', 'of', 'the', 'binary', 'system', 'for', 'which', 'accretion', 'and', 'then', 'planetary', 'forma', 'tion', 'are', 'possible', 'in', 'the', 'circumbinary', 'case', 'we', 'also', 'outline', 'the', 'radial', 'distance', 'from', 'the', 'baricenter', 'of', 'the', 'stars', 'beyond', 'which', 'accumulation', 'always', 'occurs', 'hy', 'drodynamical', 'simulations', 'are', 'also', 'presented', 'to', 'validate', 'our', 'nbody', 'approach', 'based', 'on', 'the', 'axisymmetric', 'approximation', 'for', 'the', 'gas', 'of', 'the', 'disk']] | [-0.1002912782516267, 0.06638094129845161, -0.07510860586030917, 0.05961873777083714, -0.03403889046008275, -0.027246099917895415, -0.0004922666544602675, 0.34080273882401263, -0.20984730712635527, -0.28096051229460334, 0.11051959721027577, -0.25626426257870416, -0.10432316045361487, 0.24218095653023655, -0.035090684266337616, 0.06796171362194317, 0.11961410376666622, -0.05944149094152222, -0.056192526790255215, -0.2707439040175979, 0.34836076669902966, 0.06933169710365208, 0.04192523982651024, -0.019826630975744178, 0.046155157943510196, -0.06557265986868349, -0.050502217538781806, -0.0610845921963284, -0.23618231965652245, 0.043926489661151376, 0.1781269878289012, 0.1120080981848084, 0.18832555177769708, -0.43423521041404456, -0.2199409299223176, -0.005685271939992989, 0.18737621102693744, 0.1104398520255927, -0.07166847041199534, -0.25471644160014956, 0.07575043114113876, -0.2549354694254527, -0.1439472988237288, -0.016845730524933475, 0.06386191042309458, 0.07292895655105398, -0.3005381275222383, 0.12087658405454765, 0.12097146696495739, 0.039695570785128934, -0.14841802985492078, -0.07723666993578346, -0.10029099297984927, 0.052423833242342385, 0.05524021960114955, -0.002877279555171051, 0.21160726285200904, -0.08193012487820604, -0.03934811938829212, 0.4282314420931719, -0.08726158950594254, -0.1581924877722155, 0.27140018678619526, -0.20181865323948758, -0.0890905132083307, 0.11126882392934269, 0.22034565211189064, 0.14990133731308478, -0.11378489823387512, 0.04152515258407551, -0.04489205973434516, 0.13210186985617672, 0.06302005032458427, -0.03378397431118752, 0.33988532768985763, 0.13210721415552226, -0.0019640674158422785, 0.0905417417684062, -0.18127927665641022, -0.14563603307694642, -0.2486718914640898, -0.10233304801989686, -0.16179999899627132, 0.002769039398778907, -0.11023236232738948, -0.1291115906629288, 0.3130208302490329, 0.17037739884108305, 0.17904134598475965, 0.04279958363357847, 0.32662789270133624, 0.1156879703286739, 0.04479301020249047, 0.15506623654668641, 0.33707382350059395, 0.1384359223646408, 0.05371733223331499, -0.3107948002712378, 0.06596775450320407, 0.04796734651873438] |
710.4408 | Generation of two-mode field squeezing through selective dynamics in
cavity QED | We propose a scheme for the generation of a two-mode field squeezed state in
cavity QED. It is based on two-channel Raman excitations of a beam of
three-level atoms with random arrival times by two classical fields and two
high-Q resonator modes. It is shown that by suitably choosing the intensities
and detunings of fields the dynamical processes can be selective and two-mode
squeezing between the cavity modes can be generated at steady state. This
proposal does not need the preparation of the initial states of atoms and
cavity modes, and is robust against atomic spontaneous decay.
| quant-ph | we propose a scheme for the generation of a twomode field squeezed state in cavity qed it is based on twochannel raman excitations of a beam of threelevel atoms with random arrival times by two classical fields and two highq resonator modes it is shown that by suitably choosing the intensities and detunings of fields the dynamical processes can be selective and twomode squeezing between the cavity modes can be generated at steady state this proposal does not need the preparation of the initial states of atoms and cavity modes and is robust against atomic spontaneous decay | [['we', 'propose', 'a', 'scheme', 'for', 'the', 'generation', 'of', 'a', 'twomode', 'field', 'squeezed', 'state', 'in', 'cavity', 'qed', 'it', 'is', 'based', 'on', 'twochannel', 'raman', 'excitations', 'of', 'a', 'beam', 'of', 'threelevel', 'atoms', 'with', 'random', 'arrival', 'times', 'by', 'two', 'classical', 'fields', 'and', 'two', 'highq', 'resonator', 'modes', 'it', 'is', 'shown', 'that', 'by', 'suitably', 'choosing', 'the', 'intensities', 'and', 'detunings', 'of', 'fields', 'the', 'dynamical', 'processes', 'can', 'be', 'selective', 'and', 'twomode', 'squeezing', 'between', 'the', 'cavity', 'modes', 'can', 'be', 'generated', 'at', 'steady', 'state', 'this', 'proposal', 'does', 'not', 'need', 'the', 'preparation', 'of', 'the', 'initial', 'states', 'of', 'atoms', 'and', 'cavity', 'modes', 'and', 'is', 'robust', 'against', 'atomic', 'spontaneous', 'decay']] | [-0.14866467376753265, 0.3112263085282187, -0.07027147252223041, -0.034740821835248896, 0.02510809864772042, -0.19563335592296818, 0.054089810808438846, 0.43860552974582945, -0.2087304255896315, -0.21526270302387013, 0.02663373247931529, -0.2334552881567134, -0.04589018914560528, 0.20990509979580482, 0.01535641119608982, 0.0941128653435747, 0.07159575098494221, -0.023370177821092998, 0.036445931673107536, -0.18544964519924648, 0.3425641255165191, 0.030822589359793467, 0.36270519680122737, 0.010595868792884128, 0.11846297663473285, -0.014810969114553221, 0.10829660909000746, -0.059859146604064814, -0.04994283120915085, 0.06217277386482594, 0.22397309827819928, 0.07271975146356932, 0.2783076296339637, -0.4484369285289467, -0.19432602796137102, 0.102598943709175, 0.14992786757167928, 0.2500444521032965, -0.011209213598535309, -0.35094022483939363, -0.02205845555194567, -0.14079454480238335, -0.11400506278672784, -0.11653337956972651, -0.013917103226142983, 0.011159351131561952, -0.3378247237457058, 0.03959254643006116, 0.057313040667873585, 0.027772006103480906, -0.006875386941078666, -0.0020274268199219226, -0.014813905701847728, 0.035265437375331665, -0.023091472486110844, -0.012098877126658239, 0.20376181707551858, -0.1267634972560306, -0.15569549139838704, 0.3678804042451468, -0.12081464034260356, -0.17624679901013054, 0.1510201308974689, -0.13363965697701752, 0.015245997058899747, 0.12806090025096825, 0.1095769646386712, 0.08929003818325468, -0.11150382490847836, 0.02967450496699834, -0.0010095148097685317, 0.23821795591604464, 0.11549767214305622, 0.13837065694123968, 0.21304940280130075, 0.11489968541673548, 0.04017578628029406, 0.20323323017495118, -0.09343830612968154, -0.08733645099282418, -0.3106374718133629, -0.12059895321726799, -0.2198158421832108, 0.07024138781122657, -0.055802550607753354, -0.12639018208761796, 0.4421827543237575, 0.10332748700190124, 0.1350956358802841, -0.06058446313110516, 0.31069411092063354, 0.17558467086673396, 0.05357375046833582, 0.034595334340731816, 0.3134668178894778, 0.1844888769099777, 0.029710144942299913, -0.3067568037034848, -0.01648833737084546, -0.003486662349404441] |
710.4409 | The sharp lower bound for the volume of 3-folds of general type with
\chi(\Co{X})=1 | Let $V$ be a smooth projective 3-fold of general type. Denote by $K^{3}$, a
rational number, the self-intersection of the canonical sheaf of any minimal
model of $V$. One defines $K^{3}$ as a canonical volume of $V$. The paper is
devoted to proving the sharp lower bound $K^{3}\ge {1/420}$ which can be
reached by an example: $X_{46}\subseteq \mathbb{P}(4,5,6,7,23)$.
| math.AG | let v be a smooth projective 3fold of general type denote by k3 a rational number the selfintersection of the canonical sheaf of any minimal model of v one defines k3 as a canonical volume of v the paper is devoted to proving the sharp lower bound k3ge 1420 which can be reached by an example x_46subseteq mathbbp456723 | [['let', 'v', 'be', 'a', 'smooth', 'projective', '3fold', 'of', 'general', 'type', 'denote', 'by', 'k3', 'a', 'rational', 'number', 'the', 'selfintersection', 'of', 'the', 'canonical', 'sheaf', 'of', 'any', 'minimal', 'model', 'of', 'v', 'one', 'defines', 'k3', 'as', 'a', 'canonical', 'volume', 'of', 'v', 'the', 'paper', 'is', 'devoted', 'to', 'proving', 'the', 'sharp', 'lower', 'bound', 'k3ge', '1420', 'which', 'can', 'be', 'reached', 'by', 'an', 'example', 'x_46subseteq', 'mathbbp456723']] | [-0.1917664287654175, 0.08639828672193371, -0.08411971022459594, 0.02217812217475677, -0.07643769430843267, -0.20856272965161637, 0.03230981268200346, 0.2317574276588857, -0.3024846835231239, -0.24824766811322083, 0.04287380488081412, -0.2331614894115112, -0.10675662054087628, 0.21719661205583676, -0.160480724376711, -0.04847640311345458, -0.006831589870324189, 0.124325452033769, -0.12073051960800182, -0.3039782501418482, 0.37876911134543745, -0.03482449906454845, 0.19402208395132964, 0.08779867286370559, 0.10186244615099647, -0.03161126056855375, 0.040584695288403465, 0.008880830014293845, -0.16797431614249944, 0.15421035569584504, 0.2829402154099874, 0.08945985385640101, 0.24295328625223853, -0.3885540347207676, -0.1797208525579084, 0.2850525682622736, 0.1355120586739345, 0.0028440557314421645, 0.03370861341668801, -0.21819257106293333, 0.09970502090502785, -0.13146717196161098, -0.21022752487862653, -0.02967362752692266, 0.08285692158070478, 0.0179753897880966, -0.25160505534573036, -0.009145696054805409, 0.08853690879927441, 0.1441882363732227, -0.006812023879452185, -0.09919936348133805, -0.15462757238948888, -0.002979202212935144, -0.07006296731150624, 0.15818005148109726, 0.05205760504203764, -0.09106187261641026, -0.09438123237341642, 0.3668997300619429, -0.1298801182007248, -0.18652693168683485, 0.04240836924449964, -0.12951926751570267, -0.0776010726493868, 0.18221911981447853, 0.09044248949397694, 0.22090899178927595, -0.04058629626577551, 0.18120952041989022, -0.13625229607251557, 0.10243398333391683, 0.07926564909179103, -0.04035679904892194, 0.16755795560099862, 0.148685556311499, 0.11151769841936501, 0.12729041490343992, -0.050677919167686596, 0.03532938611778346, -0.42968510592525655, -0.19576883340910586, -0.18143288579515435, 0.21572061421518976, -0.11127460490573536, -0.13333609307354147, 0.39806838103316045, -0.013936433560130272, 0.2577470370314338, 0.11274411724245345, 0.21977358108217065, 0.11926525080872868, -0.000892185927792029, 0.05012021273882552, 0.1343221188057214, 0.18148196025074206, -0.07495209120891311, -0.13723178988068618, 0.029687545270743694, 0.20652518499303948] |
710.441 | A Multi-level Blocking Distinct Degree Factorization Algorithm | We give a new algorithm for performing the distinct-degree factorization of a
polynomial P(x) over GF(2), using a multi-level blocking strategy. The coarsest
level of blocking replaces GCD computations by multiplications, as suggested by
Pollard (1975), von zur Gathen and Shoup (1992), and others. The novelty of our
approach is that a finer level of blocking replaces multiplications by
squarings, which speeds up the computation in GF(2)[x]/P(x) of certain interval
polynomials when P(x) is sparse. As an application we give a fast algorithm to
search for all irreducible trinomials x^r + x^s + 1 of degree r over GF(2),
while producing a certificate that can be checked in less time than the full
search. Naive algorithms cost O(r^2) per trinomial, thus O(r^3) to search over
all trinomials of given degree r. Under a plausible assumption about the
distribution of factors of trinomials, the new algorithm has complexity O(r^2
(log r)^{3/2}(log log r)^{1/2}) for the search over all trinomials of degree r.
Our implementation achieves a speedup of greater than a factor of 560 over the
naive algorithm in the case r = 24036583 (a Mersenne exponent). Using our
program, we have found two new primitive trinomials of degree 24036583 over
GF(2) (the previous record degree was 6972593).
| cs.DS | we give a new algorithm for performing the distinctdegree factorization of a polynomial px over gf2 using a multilevel blocking strategy the coarsest level of blocking replaces gcd computations by multiplications as suggested by pollard 1975 von zur gathen and shoup 1992 and others the novelty of our approach is that a finer level of blocking replaces multiplications by squarings which speeds up the computation in gf2xpx of certain interval polynomials when px is sparse as an application we give a fast algorithm to search for all irreducible trinomials xr xs 1 of degree r over gf2 while producing a certificate that can be checked in less time than the full search naive algorithms cost or2 per trinomial thus or3 to search over all trinomials of given degree r under a plausible assumption about the distribution of factors of trinomials the new algorithm has complexity or2 log r32log log r12 for the search over all trinomials of degree r our implementation achieves a speedup of greater than a factor of 560 over the naive algorithm in the case r 24036583 a mersenne exponent using our program we have found two new primitive trinomials of degree 24036583 over gf2 the previous record degree was 6972593 | [['we', 'give', 'a', 'new', 'algorithm', 'for', 'performing', 'the', 'distinctdegree', 'factorization', 'of', 'a', 'polynomial', 'px', 'over', 'gf2', 'using', 'a', 'multilevel', 'blocking', 'strategy', 'the', 'coarsest', 'level', 'of', 'blocking', 'replaces', 'gcd', 'computations', 'by', 'multiplications', 'as', 'suggested', 'by', 'pollard', '1975', 'von', 'zur', 'gathen', 'and', 'shoup', '1992', 'and', 'others', 'the', 'novelty', 'of', 'our', 'approach', 'is', 'that', 'a', 'finer', 'level', 'of', 'blocking', 'replaces', 'multiplications', 'by', 'squarings', 'which', 'speeds', 'up', 'the', 'computation', 'in', 'gf2xpx', 'of', 'certain', 'interval', 'polynomials', 'when', 'px', 'is', 'sparse', 'as', 'an', 'application', 'we', 'give', 'a', 'fast', 'algorithm', 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710.4411 | Cluster radioactivity of Th isotopes in the mean-field HFB theory | Cluster radioactivity is described as a very mass asymmetric fission process.
The reflection symmetry breaking octupole moment has been used in a mean field
HFB theory as leading coordinate instead of the quadrupole moment usually used
in standard fission calculations. The procedure has been applied to the study
of the ``very mass asymmetric fission barrier'' of several even-even Thorium
isotopes. The masses of the emitted clusters as well as the corresponding
half-lives have been evaluated on those cases where experimental data exist.
| nucl-th | cluster radioactivity is described as a very mass asymmetric fission process the reflection symmetry breaking octupole moment has been used in a mean field hfb theory as leading coordinate instead of the quadrupole moment usually used in standard fission calculations the procedure has been applied to the study of the very mass asymmetric fission barrier of several eveneven thorium isotopes the masses of the emitted clusters as well as the corresponding halflives have been evaluated on those cases where experimental data exist | [['cluster', 'radioactivity', 'is', 'described', 'as', 'a', 'very', 'mass', 'asymmetric', 'fission', 'process', 'the', 'reflection', 'symmetry', 'breaking', 'octupole', 'moment', 'has', 'been', 'used', 'in', 'a', 'mean', 'field', 'hfb', 'theory', 'as', 'leading', 'coordinate', 'instead', 'of', 'the', 'quadrupole', 'moment', 'usually', 'used', 'in', 'standard', 'fission', 'calculations', 'the', 'procedure', 'has', 'been', 'applied', 'to', 'the', 'study', 'of', 'the', 'very', 'mass', 'asymmetric', 'fission', 'barrier', 'of', 'several', 'eveneven', 'thorium', 'isotopes', 'the', 'masses', 'of', 'the', 'emitted', 'clusters', 'as', 'well', 'as', 'the', 'corresponding', 'halflives', 'have', 'been', 'evaluated', 'on', 'those', 'cases', 'where', 'experimental', 'data', 'exist']] | [-0.03421422177584978, 0.15982021062447485, -0.07458415894382973, 0.15856442186267064, 0.005495264226139137, -0.07917935164963327, -0.009699915240450604, 0.39325658141112907, -0.1695623346320467, -0.30865584313869476, 0.03462926437226465, -0.2618566934564492, 0.0006982709065352272, 0.1682435521918417, 0.03064723944336903, 0.08879537552186265, 0.016096747921859254, 0.1215902325788104, -0.08115874504011761, -0.16956098489718874, 0.25296197743609367, 0.10743673118512805, 0.27754444951509555, 0.04061256498297131, 0.02117020253052299, -0.04211111773350617, 0.06030317033618325, -0.034139850587008566, -0.08798234278290737, 0.05926360921698577, 0.24983176231815865, 0.05706324091567317, 0.166380139445409, -0.4305121127470601, -0.18459492694677376, 0.12741106862156856, 0.18749870081565614, 0.16211873424671044, -0.15742942015782407, -0.3112395394979635, 0.01875985848785537, -0.28229912595323675, -0.1700184578076005, -0.0970952605101757, 0.04433481143815897, 0.0908729448409115, -0.2559248816630826, 0.09234812723404569, -0.01054375168793585, 0.08678810214032859, -0.09950664234006913, -0.24304549391495017, -0.06747659611822356, 0.07665254874154925, 0.17243640999013002, -0.0062000001439960995, 0.20818145030388246, -0.0312764546642273, -0.10100973868833446, 0.4523040056910093, 0.02451498911108413, -0.10967460214501111, 0.08790839762744926, -0.11311941614613027, -0.1501439156510481, 0.18421303985140672, 0.13293227879330516, 0.15604955794377728, -0.18818462091475363, 0.11039322000232926, -0.004728130581675143, 0.13418010560612523, 0.11739574801907932, -0.00280135839314359, 0.19784413040729193, 0.17103760219292669, -0.021273579963812288, 0.07616341451932562, -0.18793271004120116, -0.15933686818234713, -0.2741403100421516, -0.0725507567432232, -0.17876587978496059, 0.03196611253135815, -0.004068005994734604, -0.1660492676995246, 0.37698847640351185, 0.02660623765209826, 0.17908139760810426, -0.03560409238334836, 0.2495660114090708, 0.11574111893068909, 0.1544379863828398, -0.0542074802342984, 0.3116029872581726, 0.23716019530121873, 0.04422481722630015, -0.2781234769847687, 0.10410231266670474, 0.04102155220660767] |
710.4412 | Large-Scale Magnetic Field Re-generation by Resonant MHD Wave
Interactions | We investigate numerically the long-time behavior of balanced Alfven wave
turbulence forced at intermediate scales. Whereas the usual constant-flux
solution is found at the smallest scales, two new scalings are obtained at the
forcing scales and at the largest scales of the system. In the latter case we
show, in particular, that the spectrum evolves first to a state determined by
Loitsyansky invariant and later a state close to the thermodynamic
equipartition solution predicted by wave turbulence. The astrophysical
implications for galactic magnetic field generation are discussed.
| astro-ph | we investigate numerically the longtime behavior of balanced alfven wave turbulence forced at intermediate scales whereas the usual constantflux solution is found at the smallest scales two new scalings are obtained at the forcing scales and at the largest scales of the system in the latter case we show in particular that the spectrum evolves first to a state determined by loitsyansky invariant and later a state close to the thermodynamic equipartition solution predicted by wave turbulence the astrophysical implications for galactic magnetic field generation are discussed | [['we', 'investigate', 'numerically', 'the', 'longtime', 'behavior', 'of', 'balanced', 'alfven', 'wave', 'turbulence', 'forced', 'at', 'intermediate', 'scales', 'whereas', 'the', 'usual', 'constantflux', 'solution', 'is', 'found', 'at', 'the', 'smallest', 'scales', 'two', 'new', 'scalings', 'are', 'obtained', 'at', 'the', 'forcing', 'scales', 'and', 'at', 'the', 'largest', 'scales', 'of', 'the', 'system', 'in', 'the', 'latter', 'case', 'we', 'show', 'in', 'particular', 'that', 'the', 'spectrum', 'evolves', 'first', 'to', 'a', 'state', 'determined', 'by', 'loitsyansky', 'invariant', 'and', 'later', 'a', 'state', 'close', 'to', 'the', 'thermodynamic', 'equipartition', 'solution', 'predicted', 'by', 'wave', 'turbulence', 'the', 'astrophysical', 'implications', 'for', 'galactic', 'magnetic', 'field', 'generation', 'are', 'discussed']] | [-0.19447669756685404, 0.21572903268645668, -0.059806964825838804, 0.13980814163318597, -0.013053388009930765, -0.06679986998828691, -0.035735784445044605, 0.2748517741470836, -0.2969450640903656, -0.27388573676174466, 0.08159304609208173, -0.26882264439319803, -0.06993409669903908, 0.20511514210510393, 0.09954303987107652, 0.04802382614975931, 0.015361909778940296, 0.03285975208733404, -0.03275840566764304, -0.15344370335210547, 0.3556034590759271, 0.11583271567428181, 0.2767119317120591, 0.0012552696171888086, 0.09895313825718192, -0.12026501773466725, 0.0036943238228559494, 0.04573688668173164, -0.17622628589040604, -0.011758099862396024, 0.18796900338168407, 0.037903323477177425, 0.24594282300406417, -0.4077397433521096, -0.22556389419925074, 0.03834595731567851, 0.18865706353058476, 0.11936749755892209, 0.005386583745306314, -0.2540376403363595, 0.08558860885488345, -0.13524756543230004, -0.17522569930419152, -0.017305691715676422, 0.05089235656250398, 0.03158936564821403, -0.2545245696985444, 0.10670034888167974, 0.03130094423825138, 0.02706255660890493, -0.11483785572873298, -0.09070277059326208, -0.04473538379466464, 0.08882120545942683, 0.08853068200297394, 0.015653857793442385, 0.1202535494278066, -0.1521245160107609, -0.055479258547948544, 0.3894180288581654, -0.0817216575703432, -0.13963436250416508, 0.19316128880695202, -0.23385760628856544, -0.11821930216582016, 0.1390218248395899, 0.13035793397792203, 0.1076793835151854, -0.08340837881185634, 0.04312898821690185, -0.01871124168195989, 0.16114162012588146, 0.0836069623419885, 0.021549877174588485, 0.22377149515980205, 0.16168382290350056, 0.07032683123509552, 0.1444887202233076, -0.10234092025026723, -0.10950466697537449, -0.29265630479663785, -0.08198657662196215, -0.2088903258175611, 0.04368766808041729, -0.07451514924062838, -0.11584698760795385, 0.3881523505524667, 0.1662227714131045, 0.1755264000967145, 0.07550489353990658, 0.26066441323369915, 0.15597284796409483, 0.003746749253856928, 0.15408229586386749, 0.3256513917342175, 0.12887756081113896, 0.14621210356546177, -0.2649124748950694, 0.034698705497566006, 0.06174569719113669] |
710.4413 | QCD Factorizations in Exclusive gamma* gamma* -> rho0_L rho0_L | The exclusive process e+ e- -> e+ e-rho0_L rho0_L allows to study various
dynamics and factorization properties of perturbative QCD. At moderate energy,
we demonstrate how collinear QCD factorization emerges, involving either
generalized distribution amplitudes (GDA) or transition distribution amplitudes
(TDA). At higher energies, in the Regge limit of QCD, we show that it offers a
promising probe of the BFKL resummation effects to be studied at ILC.
| hep-ph | the exclusive process e e e erho0_l rho0_l allows to study various dynamics and factorization properties of perturbative qcd at moderate energy we demonstrate how collinear qcd factorization emerges involving either generalized distribution amplitudes gda or transition distribution amplitudes tda at higher energies in the regge limit of qcd we show that it offers a promising probe of the bfkl resummation effects to be studied at ilc | [['the', 'exclusive', 'process', 'e', 'e', 'e', 'erho0_l', 'rho0_l', 'allows', 'to', 'study', 'various', 'dynamics', 'and', 'factorization', 'properties', 'of', 'perturbative', 'qcd', 'at', 'moderate', 'energy', 'we', 'demonstrate', 'how', 'collinear', 'qcd', 'factorization', 'emerges', 'involving', 'either', 'generalized', 'distribution', 'amplitudes', 'gda', 'or', 'transition', 'distribution', 'amplitudes', 'tda', 'at', 'higher', 'energies', 'in', 'the', 'regge', 'limit', 'of', 'qcd', 'we', 'show', 'that', 'it', 'offers', 'a', 'promising', 'probe', 'of', 'the', 'bfkl', 'resummation', 'effects', 'to', 'be', 'studied', 'at', 'ilc']] | [-0.09926482078365305, 0.16445674694312568, -0.22540577015641963, 0.1628598794695239, -0.042639021169055595, -0.09046438218545959, 0.03870222848755392, 0.36347380184540246, -0.23522411650187816, -0.17952329323937496, -0.03756234974240546, -0.3020005185109877, -0.03596998783971437, 0.0792169199610891, 0.12038011347282339, 0.10839664158552434, 0.05072725211467707, -0.026757953173452705, -0.06771983502249261, -0.14171967597565416, 0.2949030213057995, 0.05978734434801013, 0.27218999974711827, 0.1498699706456991, 0.07406172286154646, 0.10372847816060213, -0.007532119496979497, -0.04635373271550193, -0.12172819093051879, 0.04303739194151466, 0.28828950751234184, 0.02021978693576812, 0.14978349127693835, -0.3726796967852296, -0.15719574200215214, 0.09259612222950002, 0.16679993135304275, 0.08280988681045445, 0.049631323107998025, -0.21422905737364834, 0.11540047116013187, -0.2228478575337001, -0.20056148982522162, -0.21008568492746263, -0.021354482770248345, -0.08258039895515663, -0.3233174737260649, 0.05515532381127052, -0.02556791253190375, -0.021585392102486257, 0.07713568270485142, -0.1971967159770429, -0.02159420376692927, 0.02298094600326184, 0.07590867756737156, 0.08333502882371911, 0.14599750247417073, -0.20138425173971689, -0.20922795750878073, 0.40093549944206397, -0.046546709526217346, -0.12841892873543795, 0.1653597348115661, -0.26483775864383485, -0.20595677546931035, 0.16266742080562946, 0.18272168822163207, 0.12724708170263152, -0.1398660654667765, 0.1693804225254677, 0.07132000648054986, 0.10101521778922302, 0.12787546220263749, 0.07881032518167613, 0.18968991100590563, 0.1802142497970525, -0.02956341614128288, 0.10823694629079635, -0.08396470034494996, -0.11929804199572766, -0.3827540135843623, -0.041649066603206324, -0.11421163340635372, 0.09415934814464752, -0.1275034838593759, -0.12598444940522313, 0.33811262910338963, 0.1405876362414071, 0.23494643634749632, 0.03522295655795571, 0.3021700966496472, 0.16552404633186985, 0.016453114154776842, 0.050133086432293625, 0.25892874889188644, 0.1503536849120406, 0.11140790957054406, -0.26974224476990377, -0.022905020403083075, 0.08504206595490828] |
710.4414 | A remark on odd dimensional normalized Ricci flow | Let $(M^n,g_0)$ ($n$ odd) be a compact Riemannian manifold with
$\lambda(g_0)>0$, where $\lambda(g_0)$ is the first eigenvalue of the operator
$-4\Delta_{g_0}+R(g_0)$, and $R(g_0)$ is the scalar curvature of $(M^n,g_0)$.
Assume the maximal solution $g(t)$ to the normalized Ricci flow with initial
data $(M^n,g_0)$ satisfies $|R(g(t))| \leq C$ and $\int_M
|Rm(g(t))|^{n/2}d\mu_t \leq C$ uniformly for a constant $C$. Then we show that
the solution sub-converges to a shrinking Ricci soliton. Moreover,when $n=3$,
the condition $\int_M |Rm(g(t))|^{n/2}d\mu_t \leq C$ can be removed.
| math.DG | let mng_0 n odd be a compact riemannian manifold with lambdag_00 where lambdag_0 is the first eigenvalue of the operator 4delta_g_0rg_0 and rg_0 is the scalar curvature of mng_0 assume the maximal solution gt to the normalized ricci flow with initial data mng_0 satisfies rgt leq c and int_m rmgtn2dmu_t leq c uniformly for a constant c then we show that the solution subconverges to a shrinking ricci soliton moreoverwhen n3 the condition int_m rmgtn2dmu_t leq c can be removed | [['let', 'mng_0', 'n', 'odd', 'be', 'a', 'compact', 'riemannian', 'manifold', 'with', 'lambdag_00', 'where', 'lambdag_0', 'is', 'the', 'first', 'eigenvalue', 'of', 'the', 'operator', '4delta_g_0rg_0', 'and', 'rg_0', 'is', 'the', 'scalar', 'curvature', 'of', 'mng_0', 'assume', 'the', 'maximal', 'solution', 'gt', 'to', 'the', 'normalized', 'ricci', 'flow', 'with', 'initial', 'data', 'mng_0', 'satisfies', 'rgt', 'leq', 'c', 'and', 'int_m', 'rmgtn2dmu_t', 'leq', 'c', 'uniformly', 'for', 'a', 'constant', 'c', 'then', 'we', 'show', 'that', 'the', 'solution', 'subconverges', 'to', 'a', 'shrinking', 'ricci', 'soliton', 'moreoverwhen', 'n3', 'the', 'condition', 'int_m', 'rmgtn2dmu_t', 'leq', 'c', 'can', 'be', 'removed']] | [-0.22019634536174063, 0.14827421877839386, -0.07263923126387678, -0.0008646395178639317, -0.11603814031137791, -0.27861284899002275, -0.08505078225894129, 0.340918222426322, -0.2675644484897182, -0.19243069925689943, 0.13625941721543874, -0.3386114646923052, -0.0454228740115331, 0.10318376401388278, -0.039591191527880217, -0.007092312686400462, 0.043444192700394214, 0.15534451583476916, -0.05783562068444715, -0.21337818328852523, 0.38495061480223314, -0.08024799696182551, 0.15563908880193755, 0.12234739794663779, 0.11366316969410759, -0.08720577968131393, 0.1004474549745656, 0.02902970887554733, -0.24183012083643643, 0.04646841516998941, 0.20135086667660165, 0.14898745902201593, 0.2362523018446279, -0.3320759316931849, -0.17183891954283192, 0.22909409839864056, 0.1766227044624417, -0.03743581349757334, -0.00202105061010751, -0.266940237622555, 0.21506467674004093, -0.06413463293893697, -0.18686548032166359, -0.04697499663428697, 0.09905332457019042, -0.012791361889406426, -0.3456018934893894, 0.049104183236111515, 0.09684749297185304, -0.009489002261208752, -0.07413965251220211, -0.14203039464885242, -0.1187615493975886, 0.02055183880362813, 0.017633118928244262, 0.14798352057241823, 0.060071827441913216, -0.035077033373080706, 0.030594839572536517, 0.329820829813611, -0.19744113237558775, -0.28116994389422134, -0.006237643611400503, -0.14836864015852955, -0.11056251226197163, 0.06394167189017474, 0.11122205963179674, 0.23304857854565528, -0.03935268388308381, 0.22481615332191274, -0.046702915930176434, 0.15265843603913098, 0.09110403296933191, -0.08658134530949062, 0.06511540852538118, 0.055940012058421765, 0.16990531185539823, 0.08942199992462482, 0.003422638784124427, -0.0026840808201734332, -0.4116198238342592, -0.2347685405569891, -0.2170132700583502, 0.21605695591448512, -0.19353066737506833, -0.10529583143584641, 0.3043562210585973, -0.04032623415098411, 0.2202669438740162, 0.1325507593813212, 0.20629581248974554, 0.08079766374629961, 0.020107342813750855, 0.2248084121327911, 0.14030540410799217, 0.20129422837715238, 0.07397770802932951, -0.18556987968822047, -0.0663682616073383, 0.13243860676119182] |
710.4415 | Proof of the combinatorial Kirillov-Reshetikhin conjecture | In this paper we give a direct proof of the equality of certain generating
function associated with tensor product multiplicities of Kirillov-Reshetikhin
modules for each simple Lie algebra g. Together with the theorems of Nakajima
and Hernandez, this gives the proof of the combinatorial version of the
Kirillov-Reshetikhin conjecture, which gives tensor product multiplicities in
terms of restricted fermionic summations.
| math.QA math-ph math.CO math.MP math.RT | in this paper we give a direct proof of the equality of certain generating function associated with tensor product multiplicities of kirillovreshetikhin modules for each simple lie algebra g together with the theorems of nakajima and hernandez this gives the proof of the combinatorial version of the kirillovreshetikhin conjecture which gives tensor product multiplicities in terms of restricted fermionic summations | [['in', 'this', 'paper', 'we', 'give', 'a', 'direct', 'proof', 'of', 'the', 'equality', 'of', 'certain', 'generating', 'function', 'associated', 'with', 'tensor', 'product', 'multiplicities', 'of', 'kirillovreshetikhin', 'modules', 'for', 'each', 'simple', 'lie', 'algebra', 'g', 'together', 'with', 'the', 'theorems', 'of', 'nakajima', 'and', 'hernandez', 'this', 'gives', 'the', 'proof', 'of', 'the', 'combinatorial', 'version', 'of', 'the', 'kirillovreshetikhin', 'conjecture', 'which', 'gives', 'tensor', 'product', 'multiplicities', 'in', 'terms', 'of', 'restricted', 'fermionic', 'summations']] | [-0.1766433018259704, 0.07683557850929598, -0.09800960487918928, -0.009925179947943737, -0.13869286691769958, -0.12376388607081026, -0.037488386157201604, 0.24792251052955785, -0.2969615291804075, -0.24374966320271294, 0.04525595234008506, -0.1813378951783913, -0.12504993529679875, 0.16286970051393534, -0.1219984013432016, -0.054028918283681074, 0.11918676664742331, 0.11944400803185999, -0.1311657310792119, -0.2957504817905525, 0.40741075525681175, 0.01785998559789732, 0.2346766524637739, 0.10971814362177004, 0.13876123450075586, 0.13400567593829085, -0.05369818916854759, -0.06865633699732522, -0.18135604263904195, 0.21146131973558416, 0.2935990292423715, 0.10516123495375117, 0.15628315322101116, -0.3804197084158659, -0.00894211985093231, 0.17502821089389423, 0.11702612030785531, 0.03649285785504617, -0.002062986616510898, -0.21412920098130903, 0.0851612057730866, -0.2842998506501317, -0.15258717737160624, -0.09739122193617125, 0.006556365576883157, 0.02099271318875253, -0.24678806215524673, 0.08329038523758452, 0.11227727040338019, 0.08619758849575494, -0.08723426573269535, -0.16966542373411359, -0.00326883295395722, 0.03466936917199443, -0.023230357149926325, -0.028334322983088592, 0.03973438686225563, -0.1212640336016193, -0.20297557061227658, 0.3387639321386814, -0.00011594177534182867, -0.224056709666426, 0.11533434338246783, -0.14264262227370636, -0.21229695399912696, 0.10154514573514462, 0.02949677025899291, 0.13575212301996847, -0.0463200141210109, 0.16876636650122237, -0.18194305521125595, -0.02257792614400387, 0.15073775731337566, 0.04303468155364196, 0.12439846050789735, 0.050197788479272275, 0.020900574854264657, 0.24879073835909365, 0.08940045215713326, -0.0038222875135640304, -0.4108243406439821, -0.2567338832654059, -0.14398023813264443, 0.1475052406080067, -0.16756054403304005, -0.24451924548484386, 0.44908627880116303, 0.03885621589918931, 0.20287411743969036, 0.16193111104948912, 0.20880460465947787, 0.12860060868163903, 0.09331596011664563, -0.016844135732389985, 0.11919863523604969, 0.33558013251749796, 0.03327542708721012, -0.10386943452370663, -0.015108401273998122, 0.27285423915212353] |
710.4416 | Direct calculation of the probability of pionium ionization in the
target | We performed the first direct calculation of the probability of pionium
(pi+pi- atom) ionization in the target. The dependence of the probability of
pionium ionization in the target as a function of the pionium lifetime is
established. These calculations are of interest of the DIRAC experiment at
CERN, which aims to measure the pionium lifetime with high precision.
| hep-ph | we performed the first direct calculation of the probability of pionium pipi atom ionization in the target the dependence of the probability of pionium ionization in the target as a function of the pionium lifetime is established these calculations are of interest of the dirac experiment at cern which aims to measure the pionium lifetime with high precision | [['we', 'performed', 'the', 'first', 'direct', 'calculation', 'of', 'the', 'probability', 'of', 'pionium', 'pipi', 'atom', 'ionization', 'in', 'the', 'target', 'the', 'dependence', 'of', 'the', 'probability', 'of', 'pionium', 'ionization', 'in', 'the', 'target', 'as', 'a', 'function', 'of', 'the', 'pionium', 'lifetime', 'is', 'established', 'these', 'calculations', 'are', 'of', 'interest', 'of', 'the', 'dirac', 'experiment', 'at', 'cern', 'which', 'aims', 'to', 'measure', 'the', 'pionium', 'lifetime', 'with', 'high', 'precision']] | [-0.08767536568359055, 0.16054314970649008, -0.07921574846841395, 0.04867154070987077, 0.07148876712368481, -0.047100888476867615, 0.09768630130666084, 0.3406666963650235, -0.19782530709073462, -0.31383851385707484, -0.02979139296000759, -0.31633417083528537, 0.028028865392994266, 0.13763005093366293, 0.05708680576484265, 0.1493945161506919, 0.05668976143452114, 0.09541124799128237, -0.09146371393881995, -0.19444377726778903, 0.3062826201986072, 0.16893322239148206, 0.2564633381713567, 0.14994154263544698, 0.07240184980990558, 0.013000541061548323, -0.037323261723564614, -0.06612262015776901, -0.1322306328260436, 0.1315529785231398, 0.26834414918617955, 0.12273544214408973, 0.25173391475631246, -0.3828014802219796, -0.1294978406713826, 0.06796021456027339, 0.107461555852908, 0.10522323307091498, -0.07049238212920468, -0.30238494289846257, 0.04484312506071452, -0.17979804965956458, -0.15140847965938456, 0.008715717989052164, 0.019971024043304076, 0.04768823617105854, -0.2795882071528969, 0.048642124988716735, -0.04664029462006072, 0.024041539606922267, -0.05535989072462865, -0.15591833139930306, -0.02578069578759886, 0.12195142039804366, 0.04197316280774901, 0.0527535845316818, 0.15945945726707578, -0.12169936018321535, -0.10795150514178235, 0.3734602632225844, -0.11522207409143448, -0.13520959177022351, 0.14101406946328693, -0.26349998286379306, -0.10578448314155484, 0.19755338167707467, 0.15485734800438813, 0.14195954333990812, -0.12005497882913413, 0.06956304763925486, -0.005536017040240353, 0.15610591323789338, 0.07480006248304813, 0.08766416176061692, 0.17273270600507484, 0.23651216898498864, 0.04158299181064398, 0.07349899411201477, -0.19123022913418966, -0.062198321178459144, -0.34845856089016486, -0.1847159186024861, -0.20650965643340144, 0.056049200304751766, 0.021441715788035973, -0.10655446498301523, 0.3741291094378665, 0.08644674941576247, 0.23564518072867188, -0.015090987895181852, 0.31510917039523867, 0.15185913430518824, 0.006558306280379023, -0.06066344244052367, 0.2833837139227524, 0.17848900251556188, 0.07907706640403846, -0.3115309408849812, 0.11107838346526541, 0.020045722417276483] |
710.4417 | A particle acceleration site in the Coma cluster? | We present the results of a deep (1.1 Ms) observation of the Coma cluster of
galaxies in the 18-30 keV band with the IBIS/ISGRI imager on board the INTEGRAL
satellite. We show that the source extension in the North-East to South-West
(SW) direction ($\sim 17'$) significantly exceeds the size of the point spread
function of ISGRI, and that the centroid of the image of the source in the
18-30 keV band is displaced in the SW direction compared to the centroid in the
1-10 keV band. To test the nature of the SW extension we fit the data assuming
different models of source morphology. The best fit is achieved with a diffuse
source of elliptical shape, although an acceptable fit can be achieved assuming
an additional point source SW of the cluster core. In the case of an elliptical
source, the direction of extension of the source coincides with the direction
toward the subcluster falling onto the Coma cluster. If the SW excess is due to
the presence of a point source with a hard spectrum, we show that there is no
obvious X-ray counterpart for this additional source, and that the closest
X-ray source is the quasar EXO 1256+281, which is located $6.1'$ from the
centroid of the excess. Finally, we show that the hard X-ray emission coincides
with the 1.4 GHz radio emission, which suggests that the hard X-ray emission
comes from the same population of electrons that is responsible for radio
haloes through synchrotron emission.
| astro-ph | we present the results of a deep 11 ms observation of the coma cluster of galaxies in the 1830 kev band with the ibisisgri imager on board the integral satellite we show that the source extension in the northeast to southwest sw direction sim 17 significantly exceeds the size of the point spread function of isgri and that the centroid of the image of the source in the 1830 kev band is displaced in the sw direction compared to the centroid in the 110 kev band to test the nature of the sw extension we fit the data assuming different models of source morphology the best fit is achieved with a diffuse source of elliptical shape although an acceptable fit can be achieved assuming an additional point source sw of the cluster core in the case of an elliptical source the direction of extension of the source coincides with the direction toward the subcluster falling onto the coma cluster if the sw excess is due to the presence of a point source with a hard spectrum we show that there is no obvious xray counterpart for this additional source and that the closest xray source is the quasar exo 1256281 which is located 61 from the centroid of the excess finally we show that the hard xray emission coincides with the 14 ghz radio emission which suggests that the hard xray emission comes from the same population of electrons that is responsible for radio haloes through synchrotron emission | [['we', 'present', 'the', 'results', 'of', 'a', 'deep', '11', 'ms', 'observation', 'of', 'the', 'coma', 'cluster', 'of', 'galaxies', 'in', 'the', '1830', 'kev', 'band', 'with', 'the', 'ibisisgri', 'imager', 'on', 'board', 'the', 'integral', 'satellite', 'we', 'show', 'that', 'the', 'source', 'extension', 'in', 'the', 'northeast', 'to', 'southwest', 'sw', 'direction', 'sim', '17', 'significantly', 'exceeds', 'the', 'size', 'of', 'the', 'point', 'spread', 'function', 'of', 'isgri', 'and', 'that', 'the', 'centroid', 'of', 'the', 'image', 'of', 'the', 'source', 'in', 'the', '1830', 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'this', 'additional', 'source', 'and', 'that', 'the', 'closest', 'xray', 'source', 'is', 'the', 'quasar', 'exo', '1256281', 'which', 'is', 'located', '61', 'from', 'the', 'centroid', 'of', 'the', 'excess', 'finally', 'we', 'show', 'that', 'the', 'hard', 'xray', 'emission', 'coincides', 'with', 'the', '14', 'ghz', 'radio', 'emission', 'which', 'suggests', 'that', 'the', 'hard', 'xray', 'emission', 'comes', 'from', 'the', 'same', 'population', 'of', 'electrons', 'that', 'is', 'responsible', 'for', 'radio', 'haloes', 'through', 'synchrotron', 'emission']] | [-0.06446019770871651, 0.04587324992497876, -0.09437194035052951, 0.07103805652977936, -0.07203120763530495, -0.07034579898242044, 0.04007361036054187, 0.46693318708976994, -0.24931852243131833, -0.328726080227417, 0.07456042623521594, -0.3306630378860513, -0.02645985107974485, 0.20281929118362696, -0.003974602511529679, -0.05588727428479806, 0.07533724110989232, -0.0051650236684052265, -0.05045738752869142, -0.17847873919421, 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710.4418 | Noncommutative Geometries and Gravity | We briefly review ideas about ``noncommutativity of space-time'' and
approaches toward a corresponding theory of gravity.
| gr-qc | we briefly review ideas about noncommutativity of spacetime and approaches toward a corresponding theory of gravity | [['we', 'briefly', 'review', 'ideas', 'about', 'noncommutativity', 'of', 'spacetime', 'and', 'approaches', 'toward', 'a', 'corresponding', 'theory', 'of', 'gravity']] | [-0.1185980808804743, 0.12855337061773753, -0.15615977148991078, 0.1117512984201312, -0.0958064234291669, -0.1502765149634797, 0.028600140030903276, 0.28437201294582337, -0.17972367722541094, -0.2639626699965447, 0.09859435728867538, -0.27342890202999115, -0.23593202768824995, 0.13309381681028754, -0.14187944208970293, -0.058938220143318176, -0.06177537250914611, 0.0521308412135113, -0.2100730551755987, -0.2079676985158585, 0.43336898789857514, 0.11252931994386017, 0.20922333144699223, 0.036151885404251516, 0.18201514706015587, -0.05906091397628188, -0.15428127616178244, 0.062341630895389244, -0.28090262989280745, 0.18847473664209247, 0.2130220663093496, 0.195235927705653, 0.2687539402395487, -0.4321889914572239, -0.23508289916208014, -0.08833379182033241, 0.16262804821599275, 0.25224742270074785, 0.025462171470280737, -0.35650964896194637, -0.013871516508515924, -0.1765436241403222, -0.22064653900451958, -0.05124934297055006, 0.06972246803343296, -0.11101356107974425, -0.050305882818065584, 0.04917519073933363, 0.07662197749596089, 0.05245746293803677, -0.07566044807754224, -0.17265595711069182, 0.09400416072458029, 0.012649716547457501, 0.18126982531975955, 0.050642590707866475, 0.1733139470743481, -0.1391888069047127, -0.22282319224905223, 0.35765815805643797, -0.01716973085422069, -0.1834063078276813, 0.12907437683315948, -0.16287067998200655, -0.21830306109040976, -0.041908200830221176, 0.1602610165718943, 0.1486300746910274, -0.09313482051948085, 0.1723219098021218, 0.06454006698913872, 0.09895326982950792, 0.10794710426125675, 0.11993396119214594, 0.33455985761247575, 0.13261654297821224, 0.006802768039051443, 0.05218798783607781, -0.0021367929875850677, -0.21243064408190548, -0.46231775253545493, -0.1523488877573982, -0.06686759216245264, 0.10170127172023058, -0.12263583650837973, -0.08922283968422562, 0.3268923655850813, 0.2867092001833953, 0.09054101235233247, 0.0138970444095321, 0.267549499636516, 0.0335831189295277, -0.07768260955344886, 0.031658618012443185, 0.22511019582452718, 0.2782983130309731, 0.16941830718133133, -0.15669305599294603, -0.15969126178242732, 0.1257043262012303] |
710.4419 | Spin dynamics of a trapped spin-1 Bose Gas above the Bose-Einstein
transition temperature | We study collective spin oscillations in a spin-1 Bose gas above the
Bose-Einstein transition temperature. Starting from the Heisenberg equation of
motion, we derive a kinetic equation describing the dynamics of a thermal gas
with the spin-1 degree of freedom. Applying the moment method to the kinetic
equation, we study spin-wave collective modes with dipole symmetry. The dipole
modes in the spin-1 system are found to be classified into the three type of
modes. The frequency and damping rate are obtained as functions of the peak
density. The damping rate is characterized by three relaxation times associated
with collisions.
| cond-mat.other | we study collective spin oscillations in a spin1 bose gas above the boseeinstein transition temperature starting from the heisenberg equation of motion we derive a kinetic equation describing the dynamics of a thermal gas with the spin1 degree of freedom applying the moment method to the kinetic equation we study spinwave collective modes with dipole symmetry the dipole modes in the spin1 system are found to be classified into the three type of modes the frequency and damping rate are obtained as functions of the peak density the damping rate is characterized by three relaxation times associated with collisions | [['we', 'study', 'collective', 'spin', 'oscillations', 'in', 'a', 'spin1', 'bose', 'gas', 'above', 'the', 'boseeinstein', 'transition', 'temperature', 'starting', 'from', 'the', 'heisenberg', 'equation', 'of', 'motion', 'we', 'derive', 'a', 'kinetic', 'equation', 'describing', 'the', 'dynamics', 'of', 'a', 'thermal', 'gas', 'with', 'the', 'spin1', 'degree', 'of', 'freedom', 'applying', 'the', 'moment', 'method', 'to', 'the', 'kinetic', 'equation', 'we', 'study', 'spinwave', 'collective', 'modes', 'with', 'dipole', 'symmetry', 'the', 'dipole', 'modes', 'in', 'the', 'spin1', 'system', 'are', 'found', 'to', 'be', 'classified', 'into', 'the', 'three', 'type', 'of', 'modes', 'the', 'frequency', 'and', 'damping', 'rate', 'are', 'obtained', 'as', 'functions', 'of', 'the', 'peak', 'density', 'the', 'damping', 'rate', 'is', 'characterized', 'by', 'three', 'relaxation', 'times', 'associated', 'with', 'collisions']] | [-0.18995572329908045, 0.23668728195862243, -0.059178214708361966, 0.021950284495357086, -0.03174527109873415, -0.09164963696961, -0.021756721365928763, 0.3052018392605312, -0.2452024374829812, -0.24114550209858202, 0.03837983664995379, -0.3060962682721591, -0.0519957238851783, 0.1497914796257674, 0.12638618566585008, 0.007696494163775986, -0.006734427560892219, 0.05635633039513998, -0.07183705271231104, -0.16928610307249156, 0.30917824985403003, 0.025462882480386532, 0.28510335146101434, 0.007643389256878031, 0.10292722835591195, -0.021327831112130574, 0.08298483369589756, -0.009545903540018833, -0.18353394672849022, 0.03157371188533925, 0.17035933226027122, -0.007778305447462833, 0.18360918140358695, -0.4117489233613014, -0.1986479921033606, 0.060794272241323735, 0.16872327594848519, 0.19483745988985204, -0.016659359052551514, -0.31383334138816354, -0.050880951421203635, -0.1872212322597272, -0.2169918696809974, -0.09876772056738234, -0.018985631974470434, 0.05126273561024455, -0.2721811221733765, 0.20294547980331412, 0.0852137878537178, 0.07241369925781549, -0.11930799181808276, -0.12327996879284543, -0.058099156048035984, 0.022420509939430035, 0.07653880932819888, 0.001973516954522994, 0.14627616167317775, -0.14197350229075498, -0.09668495226181065, 0.3934845218547817, -0.12495984508411376, -0.17915905996536216, 0.16839265796553457, -0.20152951663623403, -0.058781078748517866, 0.184112226458812, 0.17012115860489582, 0.07469695985712337, -0.192534234557028, 0.029696160668126224, 0.019400647447463313, 0.153607872585211, 0.04776260207849319, 0.06394880984655836, 0.2532163102631316, 0.17908205875581262, -0.020707307834968422, 0.1828888560447729, -0.1006629825505014, -0.12308450614694845, -0.2726603637242483, -0.12355103863948824, -0.2071626399446166, 0.0739685750914493, -0.04618414450478575, -0.10270261305450189, 0.4095560716784964, 0.10114382031829934, 0.1909946890152765, 0.008503302602530127, 0.2454645553594361, 0.22380189468609074, 0.03114389923561101, 0.07223371820844184, 0.26014811738460053, 0.22169456874829424, 0.07957102492865589, -0.35765390761544685, -0.05137114287495161, 0.1020617834080688] |
710.442 | Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous
Generation of a Causal Structure | As toy models for space-time on the Planck scale, we consider examples of
fermion systems in discrete space-time which are composed of one or two
particles defined on two up to nine space-time points. We study the
self-organization of the particles as described by a variational principle both
analytically and numerically. We find an effect of spontaneous symmetry
breaking which leads to the emergence of a discrete causal structure.
| math-ph gr-qc hep-th math.MP | as toy models for spacetime on the planck scale we consider examples of fermion systems in discrete spacetime which are composed of one or two particles defined on two up to nine spacetime points we study the selforganization of the particles as described by a variational principle both analytically and numerically we find an effect of spontaneous symmetry breaking which leads to the emergence of a discrete causal structure | [['as', 'toy', 'models', 'for', 'spacetime', 'on', 'the', 'planck', 'scale', 'we', 'consider', 'examples', 'of', 'fermion', 'systems', 'in', 'discrete', 'spacetime', 'which', 'are', 'composed', 'of', 'one', 'or', 'two', 'particles', 'defined', 'on', 'two', 'up', 'to', 'nine', 'spacetime', 'points', 'we', 'study', 'the', 'selforganization', 'of', 'the', 'particles', 'as', 'described', 'by', 'a', 'variational', 'principle', 'both', 'analytically', 'and', 'numerically', 'we', 'find', 'an', 'effect', 'of', 'spontaneous', 'symmetry', 'breaking', 'which', 'leads', 'to', 'the', 'emergence', 'of', 'a', 'discrete', 'causal', 'structure']] | [-0.1464118711596382, 0.18505192035998966, -0.05975565293709329, 0.10234645457155463, -0.04506601614580638, -0.11052073445508553, 0.001845604056775894, 0.32725723546700203, -0.24290934861030267, -0.30502354343543236, 0.09413695819102282, -0.25593178528124816, -0.1649857131474098, 0.1509524907451123, 0.02609527294618496, 0.031148912020675514, -0.05269083125935192, 0.025195569177900536, -0.06372427358629479, -0.21519908973056337, 0.37882434111088514, 0.01099558868377969, 0.26887323433344346, 0.008999966685592697, 0.16624466429019105, -0.03239896129546822, 0.0031607671762290206, 0.03577717347745446, -0.10943927856135195, 0.08654247472683589, 0.15012008165907953, 0.053051918987994606, 0.2113915899316308, -0.4352378780595904, -0.2530299368840845, 0.09786312845603064, 0.15024640585930235, 0.14620090641445763, -0.04853895202319583, -0.3195014416469612, 0.04207186114913582, -0.1597910625320198, -0.16339463360634618, -0.08347818320212157, -0.030120977187070293, -0.06492485579076236, -0.240005829018048, 0.10309135055412418, 0.058711000245766365, 0.06704612220704988, -0.07256504943918275, -0.02546576341695112, -0.04339672022235944, 0.06286764197199997, 0.09045720934559738, -0.06224062807007652, 0.09553823732953194, -0.0923952663357815, -0.19133116688876264, 0.4420443880709185, -0.058619549497962, -0.25898532284612674, 0.19770008930261584, -0.09628104143843487, -0.14179071930466572, 0.07570851499727671, 0.21186355910385432, 0.13234410706259633, -0.14899558260905274, 0.09133894215061657, -0.053415398923275265, 0.13323009687651327, 0.07584810520832737, 0.026680956918584263, 0.24562415615587996, 0.1627483559448434, 0.03865132132626098, 0.1787267580250467, -0.06869909326221955, -0.19026845457383257, -0.3559032416754011, -0.1338039070934705, -0.19644822356412592, 0.06671628954928314, -0.10736148603968289, -0.1843747768983029, 0.3964061356972957, 0.11545334635572373, 0.21119584148560744, 0.022066287358925827, 0.20398281564247672, 0.10303369459048238, 0.05320961827385253, 0.043541286586095455, 0.22681927177515152, 0.10343618958554082, 0.04432598508192577, -0.2122819084788848, -0.0508990866145578, 0.08545018597573474] |
710.4421 | A long-lived memory qubit on a low-decoherence quantum bus | We demonstrate long-lived coherence in internal hyperfine states of a single
\Ca{43} trapped-ion qubit $[T_2=1.2(2)\s]$, and in external motional states of
a single \Ca{40} trapped-ion qubit $[T_2'=0.18(4)\s]$, in the same apparatus.
The motional decoherence rate is consistent with the heating rate, which was
measured to be 3(1) quanta/sec. Long coherence times in the external motional
states are essential for performing high-fidelity quantum logic gates between
trapped-ion qubits. The internal-state $T_2$ time that we observe in \Ca{43},
which has not previously been used as a trapped-ion qubit, is about one
thousand times longer than that of physical qubits based on \Ca{40} ions. Using
a single spin-echo pulse to ``re-phase'' the internal state, we can detect no
decoherence after 1\s, implying an effective coherence time $T_2^{\mbox{\tiny
SE}} \gtish 45\s$. This compares with timescales in this trap for single-qubit
operations of \ish 1\us, and for two-qubit operations of \ish 10\us.
| quant-ph | we demonstrate longlived coherence in internal hyperfine states of a single ca43 trappedion qubit t_2122s and in external motional states of a single ca40 trappedion qubit t_20184s in the same apparatus the motional decoherence rate is consistent with the heating rate which was measured to be 31 quantasec long coherence times in the external motional states are essential for performing highfidelity quantum logic gates between trappedion qubits the internalstate t_2 time that we observe in ca43 which has not previously been used as a trappedion qubit is about one thousand times longer than that of physical qubits based on ca40 ions using a single spinecho pulse to rephase the internal state we can detect no decoherence after 1s implying an effective coherence time t_2mboxtiny se gtish 45s this compares with timescales in this trap for singlequbit operations of ish 1us and for twoqubit operations of ish 10us | [['we', 'demonstrate', 'longlived', 'coherence', 'in', 'internal', 'hyperfine', 'states', 'of', 'a', 'single', 'ca43', 'trappedion', 'qubit', 't_2122s', 'and', 'in', 'external', 'motional', 'states', 'of', 'a', 'single', 'ca40', 'trappedion', 'qubit', 't_20184s', 'in', 'the', 'same', 'apparatus', 'the', 'motional', 'decoherence', 'rate', 'is', 'consistent', 'with', 'the', 'heating', 'rate', 'which', 'was', 'measured', 'to', 'be', '31', 'quantasec', 'long', 'coherence', 'times', 'in', 'the', 'external', 'motional', 'states', 'are', 'essential', 'for', 'performing', 'highfidelity', 'quantum', 'logic', 'gates', 'between', 'trappedion', 'qubits', 'the', 'internalstate', 't_2', 'time', 'that', 'we', 'observe', 'in', 'ca43', 'which', 'has', 'not', 'previously', 'been', 'used', 'as', 'a', 'trappedion', 'qubit', 'is', 'about', 'one', 'thousand', 'times', 'longer', 'than', 'that', 'of', 'physical', 'qubits', 'based', 'on', 'ca40', 'ions', 'using', 'a', 'single', 'spinecho', 'pulse', 'to', 'rephase', 'the', 'internal', 'state', 'we', 'can', 'detect', 'no', 'decoherence', 'after', '1s', 'implying', 'an', 'effective', 'coherence', 'time', 't_2mboxtiny', 'se', 'gtish', '45s', 'this', 'compares', 'with', 'timescales', 'in', 'this', 'trap', 'for', 'singlequbit', 'operations', 'of', 'ish', '1us', 'and', 'for', 'twoqubit', 'operations', 'of', 'ish', '10us']] | [-0.14287345964501735, 0.2681459751035272, -0.00650872322230626, 0.014881419519644598, 0.09632293016216914, -0.21348435288085274, 0.08304262079272262, 0.45038374146105536, -0.18537230442710956, -0.2933682742246597, 0.01773414821659123, -0.2189547506515199, 0.023413614586362957, 0.25999092079803976, -0.04382496073343594, 0.09894247731180783, 0.07227660912994138, 0.04673321628418397, -0.0820780666249896, -0.24811349860982787, 0.20212449881405584, 0.0599645952010383, 0.25049670476755, 0.0010929884672702722, 0.1301168902477079, -0.004954149667829485, 0.10722687538765685, -0.10149812761326911, -0.04782919654314009, 0.05101254998651353, 0.2616198495322261, 0.10002437941106955, 0.24114416876125713, -0.5091886399707324, -0.17777442087461962, 0.08321149303072828, 0.14123081735623869, 0.25322773698291046, 0.008602726170760383, -0.3325994460725448, -0.005567947722328695, -0.16850479564286808, -0.03184188925825112, -0.10955744092418275, 0.0759026321097159, -0.03308609220228801, -0.24039959573452557, 0.10526082552719408, 0.05236605761579277, 0.08664827359656632, -0.02934871170617325, -0.012446473208321651, 0.03548261304845063, 0.1029265735152466, -0.08597182023378325, 0.056370970012593856, 0.21435104727312188, -0.028812049387160584, -0.21162754984024887, 0.2918449335561042, -0.08657219226385589, -0.12093999332741795, 0.1470383609256471, -0.14837545963269855, -0.0827560061326539, 0.09183486553177919, 0.07121013168862063, 0.10239090708176225, -0.15173903066815783, -0.002418831149017779, 0.024388957830985457, 0.29314484423629833, 0.09775884922029791, 0.19232090388368947, 0.15347800914421153, 0.16309357511779804, 0.07680573895029251, 0.17741905239863243, -0.1065843076318909, -0.10839428365128902, -0.25977471572819205, -0.18912321620810987, -0.20337033188167278, 0.1397944543295266, -0.012506493386725607, -0.06140597937563041, 0.40904493813245546, 0.12718840073761334, 0.15214463508389497, -0.04616722833647222, 0.30658528649471173, 0.08951283353430048, 0.12304364569800001, 0.06004546390695523, 0.2448007289949857, 0.18362020951052996, 0.02669287368353509, -0.3466727437031731, 0.061556987767763645, -0.028573844317858383] |
710.4422 | Lattice QCD approach to nuclear force | We present our updated results of the nucleon-nucleon potential in quenched
lattice QCD simulations with the plaquette gauge action and the Wilson quark
action on the 32^4(\simeq (4.4 fm)^4) lattice. From the equal-time
Bethe-Salpeter (BS) wave function, the NN potential is constructed through the
Schroedinger-type equation. Resulting NN potential has all the qualitative
features which phenomenological potentials commonly have: the repulsive core at
short distance and the attractive well at medium and long distances. In the L
\to \infty limit, our NN potential is guaranteed to reproduce the scattering
length obtained from the Luescher's formula. The quark mass dependence of the
NN potential is studied with m_{pi} \sim 380, 529, 731 MeV. The results suggest
that both the repulsive core at short distance and the attractive well at
medium distance are enhanced in the light quark mass region.
| hep-lat | we present our updated results of the nucleonnucleon potential in quenched lattice qcd simulations with the plaquette gauge action and the wilson quark action on the 324simeq 44 fm4 lattice from the equaltime bethesalpeter bs wave function the nn potential is constructed through the schroedingertype equation resulting nn potential has all the qualitative features which phenomenological potentials commonly have the repulsive core at short distance and the attractive well at medium and long distances in the l to infty limit our nn potential is guaranteed to reproduce the scattering length obtained from the lueschers formula the quark mass dependence of the nn potential is studied with m_pi sim 380 529 731 mev the results suggest that both the repulsive core at short distance and the attractive well at medium distance are enhanced in the light quark mass region | [['we', 'present', 'our', 'updated', 'results', 'of', 'the', 'nucleonnucleon', 'potential', 'in', 'quenched', 'lattice', 'qcd', 'simulations', 'with', 'the', 'plaquette', 'gauge', 'action', 'and', 'the', 'wilson', 'quark', 'action', 'on', 'the', '324simeq', '44', 'fm4', 'lattice', 'from', 'the', 'equaltime', 'bethesalpeter', 'bs', 'wave', 'function', 'the', 'nn', 'potential', 'is', 'constructed', 'through', 'the', 'schroedingertype', 'equation', 'resulting', 'nn', 'potential', 'has', 'all', 'the', 'qualitative', 'features', 'which', 'phenomenological', 'potentials', 'commonly', 'have', 'the', 'repulsive', 'core', 'at', 'short', 'distance', 'and', 'the', 'attractive', 'well', 'at', 'medium', 'and', 'long', 'distances', 'in', 'the', 'l', 'to', 'infty', 'limit', 'our', 'nn', 'potential', 'is', 'guaranteed', 'to', 'reproduce', 'the', 'scattering', 'length', 'obtained', 'from', 'the', 'lueschers', 'formula', 'the', 'quark', 'mass', 'dependence', 'of', 'the', 'nn', 'potential', 'is', 'studied', 'with', 'm_pi', 'sim', '380', '529', '731', 'mev', 'the', 'results', 'suggest', 'that', 'both', 'the', 'repulsive', 'core', 'at', 'short', 'distance', 'and', 'the', 'attractive', 'well', 'at', 'medium', 'distance', 'are', 'enhanced', 'in', 'the', 'light', 'quark', 'mass', 'region']] | [-0.10411486946671766, 0.16701202715889815, -0.1070204732096652, 0.10410522557981992, -0.0019438037995918634, -0.1154472925258379, 0.060895241836058725, 0.3905302168747043, -0.20878158800684624, -0.2591634903810103, -0.0006456704101572833, -0.36270515688688215, -0.05780333979549201, 0.08768829555135138, 0.10735933098030263, 0.06484864126503413, 0.06584275239419164, 0.07315534840331134, -0.09074825828684235, -0.2208891102881001, 0.29241930271913535, 0.04608450539369326, 0.20245632942235708, 0.19054310243019332, 0.05183542675481443, 0.04691868047331915, 0.013822901015081546, -0.0677067738461451, -0.12291377698043472, 0.022989127941320846, 0.16176039717426985, -0.03992107713486265, 0.161056679109261, -0.3660661737251021, -0.20737310539060919, 0.07229542663749171, 0.14939170708050475, 0.10316775499479369, -0.009002474317646647, -0.3203313595676509, 0.07517708727306462, -0.1905125205806137, -0.19339197746607184, -0.036089782286979205, 0.06716942379631809, 0.060568561343251844, -0.28716132592029164, 0.1043772688449911, -0.05942189435637726, 0.024506846994304363, -0.07100428100913274, -0.21746115072419608, -0.030180086883190294, 0.08004429182598544, 0.06668589110860099, 0.17384592381163236, 0.12322647261168182, -0.13624994617540145, -0.031544951057523814, 0.42170985446848575, -0.0980389336273618, -0.11961293937366484, 0.18995208503936764, -0.12458086568168807, -0.06408696494874185, 0.12196187832643215, 0.15590866223779798, 0.06146556165844311, -0.1908611996833534, 0.11602813324442364, -0.010854969683071822, 0.17509530961724257, 0.080870848478763, 0.04691162479388779, 0.20116033350681736, 0.17654289444993473, -0.026276384029931724, 0.05344305765631534, -0.1141010777137657, -0.1363742676849076, -0.3414049471463383, -0.0029656391397091374, -0.213285247938891, 0.04125462085538439, -0.18440157020707568, -0.09290614697647138, 0.34470878786196674, 0.1315670804151191, 0.21572417380410608, 0.08406467797034115, 0.24824222018194458, 0.11444266789157732, 0.12873713476039525, 0.08687827393096484, 0.29556654548231276, 0.16036416336564333, 0.13389776874143278, -0.28487336990146483, -0.0647795022071006, 0.10806756240934351] |
710.4423 | Transverse momentum distributions of quarks from the lattice using
extended gauge links | We present preliminary numerical studies in Lattice QCD related to the
intrinsic transverse momentum distribution of partons in the nucleon. We employ
non-local operators, consisting of spatially separated quark creation and
annihilation operators connected by a straight Wilson line. A clear signal is
already obtained from a small number of configurations at a pion mass of about
600 MeV. As an example, we demonstrate that we can obtain the first x-moment of
the transverse momentum dependent parton distribution function f_1^{n=1}(k_T)
from our data. Our results, which are not renormalized, show a Gaussian-like
distribution. The root mean squared transverse momentum is about 560 MeV for a
Gaussian fit, close to phenomenological values.
| hep-lat | we present preliminary numerical studies in lattice qcd related to the intrinsic transverse momentum distribution of partons in the nucleon we employ nonlocal operators consisting of spatially separated quark creation and annihilation operators connected by a straight wilson line a clear signal is already obtained from a small number of configurations at a pion mass of about 600 mev as an example we demonstrate that we can obtain the first xmoment of the transverse momentum dependent parton distribution function f_1n1k_t from our data our results which are not renormalized show a gaussianlike distribution the root mean squared transverse momentum is about 560 mev for a gaussian fit close to phenomenological values | [['we', 'present', 'preliminary', 'numerical', 'studies', 'in', 'lattice', 'qcd', 'related', 'to', 'the', 'intrinsic', 'transverse', 'momentum', 'distribution', 'of', 'partons', 'in', 'the', 'nucleon', 'we', 'employ', 'nonlocal', 'operators', 'consisting', 'of', 'spatially', 'separated', 'quark', 'creation', 'and', 'annihilation', 'operators', 'connected', 'by', 'a', 'straight', 'wilson', 'line', 'a', 'clear', 'signal', 'is', 'already', 'obtained', 'from', 'a', 'small', 'number', 'of', 'configurations', 'at', 'a', 'pion', 'mass', 'of', 'about', '600', 'mev', 'as', 'an', 'example', 'we', 'demonstrate', 'that', 'we', 'can', 'obtain', 'the', 'first', 'xmoment', 'of', 'the', 'transverse', 'momentum', 'dependent', 'parton', 'distribution', 'function', 'f_1n1k_t', 'from', 'our', 'data', 'our', 'results', 'which', 'are', 'not', 'renormalized', 'show', 'a', 'gaussianlike', 'distribution', 'the', 'root', 'mean', 'squared', 'transverse', 'momentum', 'is', 'about', '560', 'mev', 'for', 'a', 'gaussian', 'fit', 'close', 'to', 'phenomenological', 'values']] | [-0.10332206636133236, 0.2206784966969147, -0.11792263673370652, 0.10797790184386348, -0.06834286972805602, -0.051474340430913715, 0.029908776704068166, 0.4099007163436041, -0.19085215731206726, -0.26942419915229354, -0.011471261558712486, -0.31844984200022636, -0.018522480434370697, 0.16097931620246225, 0.031117434177650224, 0.06619143630754429, 0.08932385372143205, 0.028201836130342557, -0.10727462870359353, -0.16562024849133755, 0.35271299474043855, 0.030427483461558, 0.2363039184353152, 0.13382780814111883, 0.11028949621693154, 0.041770334182512185, -0.046579466748196595, -0.028856843906463286, -0.12766809138041385, 0.06066073638380616, 0.1838398574666684, 0.008305348971430874, 0.1825187960639596, -0.3333179695070337, -0.16231987979092183, 0.08093714266331918, 0.18299511974942315, 0.11301569052258455, -0.020893659835698408, -0.261047482541805, 0.06346960946780826, -0.1954536739514645, -0.19277664502535802, -0.09474505484958581, -0.024245785587732126, 0.03660953698098796, -0.30580668356867696, 0.1266823755235437, -0.016788772492105603, 0.038133670789522865, -0.04405911265522105, -0.20048530795397834, -0.04257834566022278, 0.05920779067166406, 0.057092102402564855, 0.08604529616209346, 0.13294370472858394, -0.1293717952393884, -0.12265214386370478, 0.3525753717211613, -0.06417748569553598, -0.20690895698178524, 0.07951573375612497, -0.1801299705840818, -0.08341098012970846, 0.15474734622727462, 0.19545839006217933, 0.10426317001564787, -0.16972530376029396, 0.019261488419158573, -0.09463928776596664, 0.20216254247437923, 0.0807296894917931, 0.028193042562300458, 0.2265820566376825, 0.14008626982638048, 0.013684880629250216, 0.1247008160128335, -0.11706512509802476, -0.13096259419011688, -0.3843093013066217, -0.08360908149715958, -0.2073789294211006, 0.11652322788095346, -0.11871063014598661, -0.1490950497431219, 0.4089769952067541, 0.11946762089591918, 0.2985922980011193, 0.038634820077611015, 0.30389229454305194, 0.12098044760358614, 0.1069678080891934, 0.10544108623348245, 0.21696774130943444, 0.17109902587146797, 0.14167606333321933, -0.20007628236188119, -0.034957783272139595, 0.021986357017565485] |
710.4424 | Valuations for matroid polytope subdivisions | We prove that the ranks of the subsets and the activities of the bases of a
matroid define valuations for the subdivisions of a matroid polytope into
smaller matroid polytopes.
| math.CO | we prove that the ranks of the subsets and the activities of the bases of a matroid define valuations for the subdivisions of a matroid polytope into smaller matroid polytopes | [['we', 'prove', 'that', 'the', 'ranks', 'of', 'the', 'subsets', 'and', 'the', 'activities', 'of', 'the', 'bases', 'of', 'a', 'matroid', 'define', 'valuations', 'for', 'the', 'subdivisions', 'of', 'a', 'matroid', 'polytope', 'into', 'smaller', 'matroid', 'polytopes']] | [-0.2001206404219071, 0.044937346844623485, -0.07499833746502797, 0.07376019437797368, -0.05785053468619784, -0.03277671781058113, 0.10358429476618766, 0.31207499926288923, -0.3984222610791524, -0.1847224857037266, 0.09751236749871169, -0.25382942197223507, -0.14841857105493544, 0.08435419291102637, -0.19202899243682622, -0.0622105797752738, 0.054084371278683346, 0.05755515415221453, -0.10479180520245185, -0.37862124424427746, 0.3885970521718264, -0.01745020498832067, 0.19436304966608683, 0.044760643132030965, 0.14233136006320515, 0.05797944635463258, 0.024093740930159886, 0.11017723052452008, -0.18469704123490374, 0.21635811602075894, 0.3158706975479921, 0.2942599248373881, 0.2119110153367122, -0.4390283038218816, -0.014708134714358797, 0.22474242011085152, 0.01795032632847627, -0.02525345655158162, 0.02773662810989966, -0.16482315082103013, 0.04870455414056778, -0.11885295982162157, -0.09334304984658956, -0.0341450622305274, 0.0923741903466483, 0.025044483846674362, -0.3672275833785534, -0.12751009236089886, 0.1135443989187479, 0.1589751597183446, -0.09098530054713289, -0.22793108246599633, -0.08529832909504573, 0.05173167223110795, -0.03335128277540207, 0.06296750591136516, 0.07239620103500784, -0.05772308421631654, -0.2814189446469148, 0.4449664061268171, 0.12388515922551353, -0.24653154437740643, 0.05551652821401755, -0.23704681266099215, -0.20156868134314815, 0.12995276817431053, 0.1931402325630188, 0.16571430939560136, -0.026609801656256118, 0.0794480268668849, -0.275692098091046, 0.06256678228576978, 0.13339312709867954, 0.05148862142426272, 0.20923378318548203, 0.09089888290812571, 0.15621853607396285, 0.2720280879487594, 0.08753735438610116, -0.007949557900428773, -0.24138208621491988, -0.1669726356243094, -0.1849570336441199, 0.06754880423347155, -0.26056850984023183, -0.1901817203499377, 0.4054349139953653, 0.026357103806609907, 0.1549229519131283, 0.22571393602217238, 0.22936738024000078, -0.061171124192575616, 0.10431845619653662, 0.08673638487234711, 0.13839255110360682, 0.19331041313707828, -0.07676412382473548, -0.06616401970386505, 0.09256293090681235, 0.25374892900387447] |
710.4425 | Gauge and constraint degrees of freedom: from analytical to numerical
approximations in General Relativity | The harmonic formulation of Einstein's field equations is considered, where
the gauge conditions are introduced as dynamical constraints. The difference
between the fully constrained approach (used in analytical approximations) and
the free evolution one (used in most numerical approximations) is pointed out.
As a generalization, quasi-stationary gauge conditions are also discussed,
including numerical experiments with the gauge-waves testbed. The complementary
3+1 approach is also considered, where constraints are related instead with
energy and momentum first integrals and the gauge must be provided separately.
The relationship between the two formalisms is discussed in a more general
framework (Z4 formalism). Different strategies in black hole simulations follow
when introducing singularity avoidance as a requirement. More flexible
quasi-stationary gauge conditions are proposed in this context, which can be
seen as generalizations of the current 'freezing shift' prescriptions.
| gr-qc | the harmonic formulation of einsteins field equations is considered where the gauge conditions are introduced as dynamical constraints the difference between the fully constrained approach used in analytical approximations and the free evolution one used in most numerical approximations is pointed out as a generalization quasistationary gauge conditions are also discussed including numerical experiments with the gaugewaves testbed the complementary 31 approach is also considered where constraints are related instead with energy and momentum first integrals and the gauge must be provided separately the relationship between the two formalisms is discussed in a more general framework z4 formalism different strategies in black hole simulations follow when introducing singularity avoidance as a requirement more flexible quasistationary gauge conditions are proposed in this context which can be seen as generalizations of the current freezing shift prescriptions | [['the', 'harmonic', 'formulation', 'of', 'einsteins', 'field', 'equations', 'is', 'considered', 'where', 'the', 'gauge', 'conditions', 'are', 'introduced', 'as', 'dynamical', 'constraints', 'the', 'difference', 'between', 'the', 'fully', 'constrained', 'approach', 'used', 'in', 'analytical', 'approximations', 'and', 'the', 'free', 'evolution', 'one', 'used', 'in', 'most', 'numerical', 'approximations', 'is', 'pointed', 'out', 'as', 'a', 'generalization', 'quasistationary', 'gauge', 'conditions', 'are', 'also', 'discussed', 'including', 'numerical', 'experiments', 'with', 'the', 'gaugewaves', 'testbed', 'the', 'complementary', '31', 'approach', 'is', 'also', 'considered', 'where', 'constraints', 'are', 'related', 'instead', 'with', 'energy', 'and', 'momentum', 'first', 'integrals', 'and', 'the', 'gauge', 'must', 'be', 'provided', 'separately', 'the', 'relationship', 'between', 'the', 'two', 'formalisms', 'is', 'discussed', 'in', 'a', 'more', 'general', 'framework', 'z4', 'formalism', 'different', 'strategies', 'in', 'black', 'hole', 'simulations', 'follow', 'when', 'introducing', 'singularity', 'avoidance', 'as', 'a', 'requirement', 'more', 'flexible', 'quasistationary', 'gauge', 'conditions', 'are', 'proposed', 'in', 'this', 'context', 'which', 'can', 'be', 'seen', 'as', 'generalizations', 'of', 'the', 'current', 'freezing', 'shift', 'prescriptions']] | [-0.10152698435938792, 0.11480439206022325, -0.11195432213343569, 0.12357474238187797, -0.07280550488625277, -0.15832410128735033, -0.03143852646115111, 0.35003163899058726, -0.21622825413681707, -0.2870513111658728, 0.10107992921257392, -0.21755473277663617, -0.1611450208184212, 0.19939175830309544, -0.01851522782122466, 0.06561229279726993, 0.02934247608741384, 0.005921493624962533, -0.10445856334512997, -0.2460586706362317, 0.3163134560628391, 0.052684267181833624, 0.25528577242547007, 0.03773627206405152, 0.07719899749786441, -0.028101670104009446, -0.04691837715252595, 0.06543104314599742, -0.13869862579010817, 0.04452185963502905, 0.2644290549197554, 0.11032466326993126, 0.25391227802706523, -0.43835138163960247, -0.22812139207441637, 0.05956226480349815, 0.13905489692853681, 0.11440860703344276, -0.04280889886817999, -0.2771073641505704, 0.04691746146696161, -0.1938472993171482, -0.13855933394185754, -0.0800106798632265, -0.020174866739431144, 0.015503565030200268, -0.27451859006255086, 0.08544894088009275, 0.015034918064110801, 0.002679199731492597, -0.08936302748738106, -0.08746436654517094, -0.042206734940131656, 0.07959923609668118, 0.09473101087713809, 0.011033347919027306, 0.09685616789093769, -0.10562378755569068, -0.12737297678606085, 0.42428506485450623, -0.04326393365175394, -0.2982338832051896, 0.19031965752903707, -0.10017952025927075, -0.14279584396185716, 0.07016743998279545, 0.10479841023290863, 0.1625465186201592, -0.1995290827077558, 0.0900812665614779, -0.01244450471218008, 0.0828492120950858, 0.07975329584424704, 0.0320292285408081, 0.2239555033591034, 0.13779772452335917, 0.047294399777510716, 0.11821019170812762, -0.034265547712792215, -0.18558225606971268, -0.3612503549970214, -0.10432799962163428, -0.1341688769153639, 0.02978256237067616, -0.08742938004140899, -0.09469850763066937, 0.3307711483299065, 0.15411032515286066, 0.16188277154048877, 0.01921360325433119, 0.2873238767097607, 0.16581222680119326, 0.05083512032140436, 0.054408535771349915, 0.24875324162821383, 0.1724736517566298, 0.09081876088444617, -0.20209299131911665, -0.0069661808422585925, 0.09305206282801036] |
710.4426 | Cohomological characterization of relative hyperbolicity and combination
theorem | We give a cohomological characterization of Gromov relative hyperbolicity. As
an application we prove a converse to the combination theorem for graphs of
relatively hyperbolic groups given in a previous paper of the first author. We
build upon, and follow the ideas of, the work of S. Gersten in ``Cohom. lower
bounds for isoperim. funct. on groups'' (Topology 37, 1998) about the same
topics in the classical Gromov hyperbolic setting.
| math.GR | we give a cohomological characterization of gromov relative hyperbolicity as an application we prove a converse to the combination theorem for graphs of relatively hyperbolic groups given in a previous paper of the first author we build upon and follow the ideas of the work of s gersten in cohom lower bounds for isoperim funct on groups topology 37 1998 about the same topics in the classical gromov hyperbolic setting | [['we', 'give', 'a', 'cohomological', 'characterization', 'of', 'gromov', 'relative', 'hyperbolicity', 'as', 'an', 'application', 'we', 'prove', 'a', 'converse', 'to', 'the', 'combination', 'theorem', 'for', 'graphs', 'of', 'relatively', 'hyperbolic', 'groups', 'given', 'in', 'a', 'previous', 'paper', 'of', 'the', 'first', 'author', 'we', 'build', 'upon', 'and', 'follow', 'the', 'ideas', 'of', 'the', 'work', 'of', 's', 'gersten', 'in', 'cohom', 'lower', 'bounds', 'for', 'isoperim', 'funct', 'on', 'groups', 'topology', '37', '1998', 'about', 'the', 'same', 'topics', 'in', 'the', 'classical', 'gromov', 'hyperbolic', 'setting']] | [-0.13771682474436922, 0.06603740559234318, -0.13150154611588838, 0.08778024526477299, -0.10899389869369128, -0.06385639454375076, 0.10450724020826302, 0.304144871297895, -0.2453181979328613, -0.3162086693131748, 0.10860930478049662, -0.25129153059028525, -0.15237645333742394, 0.23435495571260723, -0.21180377237717896, -0.006716713954708265, 0.02863039224929012, 0.04530398370287217, -0.08642630813889862, -0.30416579073404565, 0.37698903841459575, -0.007702846278655617, 0.22553819876766817, 0.12877605699331446, 0.06892775103230686, 0.028219293748192927, -0.09387670617605395, -0.02037498713744914, -0.22858094208983376, 0.18007504889358053, 0.2651926391408779, 0.06495694705175564, 0.25610200037001907, -0.34649195949382644, -0.18343741621356457, 0.09341486764606088, 0.09175339559613563, 0.07187581173938644, -0.0370808318925008, -0.3157436638413107, 0.11282234835465822, -0.15008858630351504, -0.16736406587776453, -0.004586819285417304, 0.06056409314110437, 0.008263526744592716, -0.17082498912863872, 0.030015926315065694, 0.19738377568790064, 0.12406599595594932, -0.06699881690335185, -0.09005039397572331, 0.028600267360589522, 0.14136660768075243, -0.004475816099918173, 0.023953088107244933, 0.056627343607354254, -0.03892571824219297, -0.1605802852769985, 0.33150153108598557, -0.07906720902332488, -0.15855641707243837, 0.17515588724328315, -0.1399543527239824, -0.23649286571890116, 0.07956315171288546, 0.18989125169430146, 0.1631846465923659, -0.05326742997995632, 0.14360242338957238, -0.1522006652701427, 0.08466289351995596, 0.1553011212415774, 0.007355235763551558, 0.02760360192384242, 0.09691549429450841, 0.1549284502192784, 0.14829820283579037, 0.050329622555770635, -0.04408621051184395, -0.3154179072007537, -0.21164145326132283, -0.16752326755565317, 0.11942514186889372, -0.08252139383330359, -0.16729641799397274, 0.3873640743139036, 0.09002279927817118, 0.1812340756467379, 0.16446033350246794, 0.20422672192730448, 0.04523671608116916, -0.023481889497762656, 0.11719642061849728, 0.19483968969913856, 0.2583106254665729, 0.07539549024145611, -0.07718318320043824, 0.012695197515901835, 0.2167486460222041] |
710.4427 | On the disconnection of a discrete cylinder by a biased random walk | We consider a random walk on the discrete cylinder
$({\mathbb{Z}}/N{\mathbb{Z}})^d\times{\mathbb{Z}}$, $d\geq3$ with drift
$N^{-d\alpha}$ in the $\mathbb{Z}$-direction and investigate the large
$N$-behavior of the disconnection time $T^{\mathrm{disc}}_N$, defined as the
first time when the trajectory of the random walk disconnects the cylinder into
two infinite components. We prove that, as long as the drift exponent $\alpha$
is strictly greater than 1, the asymptotic behavior of $T^{\mathrm{disc}}_N$
remains $N^{2d+o(1)}$, as in the unbiased case considered by Dembo and
Sznitman, whereas for $\alpha<1$, the asymptotic behavior of
$T^{\mathrm{disc}}_N$ becomes exponential in $N$.
| math.PR | we consider a random walk on the discrete cylinder mathbbznmathbbzdtimesmathbbz dgeq3 with drift ndalpha in the mathbbzdirection and investigate the large nbehavior of the disconnection time tmathrmdisc_n defined as the first time when the trajectory of the random walk disconnects the cylinder into two infinite components we prove that as long as the drift exponent alpha is strictly greater than 1 the asymptotic behavior of tmathrmdisc_n remains n2do1 as in the unbiased case considered by dembo and sznitman whereas for alpha1 the asymptotic behavior of tmathrmdisc_n becomes exponential in n | [['we', 'consider', 'a', 'random', 'walk', 'on', 'the', 'discrete', 'cylinder', 'mathbbznmathbbzdtimesmathbbz', 'dgeq3', 'with', 'drift', 'ndalpha', 'in', 'the', 'mathbbzdirection', 'and', 'investigate', 'the', 'large', 'nbehavior', 'of', 'the', 'disconnection', 'time', 'tmathrmdisc_n', 'defined', 'as', 'the', 'first', 'time', 'when', 'the', 'trajectory', 'of', 'the', 'random', 'walk', 'disconnects', 'the', 'cylinder', 'into', 'two', 'infinite', 'components', 'we', 'prove', 'that', 'as', 'long', 'as', 'the', 'drift', 'exponent', 'alpha', 'is', 'strictly', 'greater', 'than', '1', 'the', 'asymptotic', 'behavior', 'of', 'tmathrmdisc_n', 'remains', 'n2do1', 'as', 'in', 'the', 'unbiased', 'case', 'considered', 'by', 'dembo', 'and', 'sznitman', 'whereas', 'for', 'alpha1', 'the', 'asymptotic', 'behavior', 'of', 'tmathrmdisc_n', 'becomes', 'exponential', 'in', 'n']] | [-0.157031302578574, 0.20000273989903372, -0.057174086570739746, 0.04382347935664489, 0.01551244706443381, -0.15806837836930224, 0.030616687074693484, 0.3384111102150623, -0.23675833532023569, -0.20066268404209336, 0.16005349644530176, -0.2845695919118995, -0.11033632110013779, 0.1501943896914464, -0.032807715334604644, 0.061543369774035246, -0.01730778384520564, 0.08735788514807842, 0.0020199177088215947, -0.23011295256194073, 0.27007213653996587, 0.011224074332520019, 0.2191976460866457, -0.0023040932733132398, 0.11325647339744624, 0.04518694169602768, -0.009517760492514732, 0.030406154605538346, -0.15427450102872045, 0.00948064208983682, 0.1456624218587612, 0.026105090983883413, 0.3197311961720156, -0.3867601788884332, -0.20061542795494544, 0.13228976485037872, 0.1955588906678523, 0.04107294477479056, 0.03272057231651013, -0.260354345298892, 0.0890331822636992, -0.12218571922655196, -0.1901280130530426, 0.047219684786098295, 0.11026713113452113, 0.05035062417452938, -0.2713442492558686, 0.09576273772210359, 0.14323599504436865, 0.03320159406271265, -0.03376062472654117, -0.12226301322279629, 0.00824650074896771, 0.1341447030768735, 0.09749029720402431, 0.012580026747918752, 0.08207714199196807, -0.08746176931010775, -0.11212300946719425, 0.3452621794543987, -0.10959229243971369, -0.212113328906166, 0.13070410480289613, -0.2326870487602211, -0.10280163592637279, 0.09572997842482182, 0.15394593448768001, 0.1334983803884148, -0.07334648251217427, 0.14099468476393498, -0.04804633309263303, 0.11069766283685038, 0.0902678439566909, -0.0005759342172897832, 0.07888187097688747, 0.16051169212766772, 0.15350260929301648, 0.19763833046132742, -0.0698179540124202, -0.13607907372656777, -0.3057638688965939, -0.1682368668316062, -0.23637070592362866, 0.12549476621152703, -0.17181274431810423, -0.22082419671811337, 0.3534007665787845, 0.10163293074448268, 0.25488545038455795, 0.1682931216065447, 0.23683538603011606, 0.13196420631111536, -0.02601463531230598, 0.11157055094533229, 0.1743402345360495, 0.1043903179098527, 0.08540377973817116, -0.1921092183572825, 0.1173196318342762, 0.10176049870287263] |
710.4428 | Nonlinear theory of mirror instability near threshold | An asymptotic model based on a reductive perturbative expansion of the drift
kinetic and the Maxwell equations is used to demonstrate that, near the
instability threshold, the nonlinear dynamics of mirror modes in a magnetized
plasma with anisotropic ion temperatures involves a subcritical
bifurcation,leading to the formation of small-scale structures with amplitudes
comparable with the ambient magnetic field.
| physics.plasm-ph physics.space-ph | an asymptotic model based on a reductive perturbative expansion of the drift kinetic and the maxwell equations is used to demonstrate that near the instability threshold the nonlinear dynamics of mirror modes in a magnetized plasma with anisotropic ion temperatures involves a subcritical bifurcationleading to the formation of smallscale structures with amplitudes comparable with the ambient magnetic field | [['an', 'asymptotic', 'model', 'based', 'on', 'a', 'reductive', 'perturbative', 'expansion', 'of', 'the', 'drift', 'kinetic', 'and', 'the', 'maxwell', 'equations', 'is', 'used', 'to', 'demonstrate', 'that', 'near', 'the', 'instability', 'threshold', 'the', 'nonlinear', 'dynamics', 'of', 'mirror', 'modes', 'in', 'a', 'magnetized', 'plasma', 'with', 'anisotropic', 'ion', 'temperatures', 'involves', 'a', 'subcritical', 'bifurcationleading', 'to', 'the', 'formation', 'of', 'smallscale', 'structures', 'with', 'amplitudes', 'comparable', 'with', 'the', 'ambient', 'magnetic', 'field']] | [-0.16945801615273873, 0.19713969864671144, -0.09816110836701435, 0.03146367648150772, -0.07909514449471444, -0.0604354467716787, -0.06804608270166475, 0.301610549160263, -0.22963853706524037, -0.25097836694565784, 0.06165084191148676, -0.21689054079092385, -0.08910554594343953, 0.19619553279246024, 0.05275255289713019, 0.026210473384708166, 0.013135924265442188, 0.052717607471430186, -0.04487774954504219, -0.1645641484085405, 0.3544126725755632, 0.10854983908173285, 0.3146259612158725, 0.020797335771484335, 0.1147016968839524, -0.06733392251312341, 0.059672452533911714, 0.03895918936713746, -0.1420726559890522, 0.0424005089229659, 0.18465068423303596, -0.05672385180450715, 0.2350901000593838, -0.4849453089072516, -0.2388851087736456, 0.00037299874320364834, 0.15046415571123362, 0.12959425210168488, -0.05023700786599269, -0.25524732896143143, 0.038202485347395405, -0.11233665735313766, -0.20092671862885095, -0.032381468811971056, -0.012810779316759292, 0.05881816583375136, -0.3467063960831678, 0.12122792636224053, 0.046941942404628845, 0.031503859221151, -0.08764126336430772, -0.06203727799941573, -0.06641052740119528, -0.001958743783465603, 0.06629556351088053, 0.03953755968822199, 0.17220048101520852, -0.1828985082214339, -0.07162653404827181, 0.3631213876263549, -0.12902495099166245, -0.16625472116120682, 0.2187434481987893, -0.19979939392457405, -0.06285704239353276, 0.2151818568899966, 0.1805181889713072, 0.1331763554103019, -0.09898534993101891, 0.07676715781123851, 0.023862499049292843, 0.1300737966179951, 0.06547481196589376, -0.021944536737640175, 0.21677717244612021, 0.20871229162603094, 0.015500950316588083, 0.13871063713189583, -0.08390950327820815, -0.0789213772013522, -0.3214690556030786, -0.08816633501760009, -0.10552298052138404, 0.061443754629101274, -0.12487147448624264, -0.22984675149711079, 0.38267600809616087, 0.15113019791284674, 0.14854706797683448, -0.01758397605858351, 0.28651243293037015, 0.14196453053961722, 0.05788885720335601, 0.13640290317779177, 0.2884139770707279, 0.2448018185075438, 0.12580795705383807, -0.32567460657497704, -0.030978980024851728, 0.08677491078381999] |
710.4429 | On photoionization of the subvalent subshells of noble gas endohedral
atoms | We demonstrate strong interference patterns in the photoionization
cross-section of the subvalent subshells of noble gas (NG) endohedral atoms
NG@F. This interference is a result of common action of three factors: the
effect of neighboring atomic subshells, reflection of photoelectron waves by
the fullerene F shell and resonance modification of the incoming photon beam by
the complex effect under the action of the F electrons.
We have considered the outer ns-subshells for Ne, Ar, Kr and Xe noble gas
atoms. The polarization of the fullerene shell is expressed via the F total
photoabsorption cross section. The photoelectron reflection from the static F
potential is taken into account in the frame of the so-called bubble potential
that is a spherical zero--thickness type potential.
It is assumed in the derivations that NG is centrally located in the
fullerene. It is assumed also, in accordance with the available experimental
data, that the fullerene radius is much bigger than the atomic radius and the
thickness of the fullerene shell. These assumptions permit, as demonstrated
recently, the NG@F photoionization cross section to be presented as a product
of the NG subvalent cross section and two calculated factors that account for
polarization of the F electron shell and reflection of photoelectrons by the
fullerene static potential.
| physics.atm-clus physics.atom-ph | we demonstrate strong interference patterns in the photoionization crosssection of the subvalent subshells of noble gas ng endohedral atoms ngf this interference is a result of common action of three factors the effect of neighboring atomic subshells reflection of photoelectron waves by the fullerene f shell and resonance modification of the incoming photon beam by the complex effect under the action of the f electrons we have considered the outer nssubshells for ne ar kr and xe noble gas atoms the polarization of the fullerene shell is expressed via the f total photoabsorption cross section the photoelectron reflection from the static f potential is taken into account in the frame of the socalled bubble potential that is a spherical zerothickness type potential it is assumed in the derivations that ng is centrally located in the fullerene it is assumed also in accordance with the available experimental data that the fullerene radius is much bigger than the atomic radius and the thickness of the fullerene shell these assumptions permit as demonstrated recently the ngf photoionization cross section to be presented as a product of the ng subvalent cross section and two calculated factors that account for polarization of the f electron shell and reflection of photoelectrons by the fullerene static potential | [['we', 'demonstrate', 'strong', 'interference', 'patterns', 'in', 'the', 'photoionization', 'crosssection', 'of', 'the', 'subvalent', 'subshells', 'of', 'noble', 'gas', 'ng', 'endohedral', 'atoms', 'ngf', 'this', 'interference', 'is', 'a', 'result', 'of', 'common', 'action', 'of', 'three', 'factors', 'the', 'effect', 'of', 'neighboring', 'atomic', 'subshells', 'reflection', 'of', 'photoelectron', 'waves', 'by', 'the', 'fullerene', 'f', 'shell', 'and', 'resonance', 'modification', 'of', 'the', 'incoming', 'photon', 'beam', 'by', 'the', 'complex', 'effect', 'under', 'the', 'action', 'of', 'the', 'f', 'electrons', 'we', 'have', 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710.443 | Unparticles and CP-violation | We give a brief summary of the unparticle scenario proposed by Georgi. The
CP-even phase of the propagator is exploited to study the CP-asymmetry in B+
--> tau+ + nu, which is neither experimentally searched for nor predicted by
any other model. Furthermore we show that the novel CP-violation is consistent
with the CPT theorem by identifying the CP-compensating mode in the unparticle
sector.
| hep-ph | we give a brief summary of the unparticle scenario proposed by georgi the cpeven phase of the propagator is exploited to study the cpasymmetry in b tau nu which is neither experimentally searched for nor predicted by any other model furthermore we show that the novel cpviolation is consistent with the cpt theorem by identifying the cpcompensating mode in the unparticle sector | [['we', 'give', 'a', 'brief', 'summary', 'of', 'the', 'unparticle', 'scenario', 'proposed', 'by', 'georgi', 'the', 'cpeven', 'phase', 'of', 'the', 'propagator', 'is', 'exploited', 'to', 'study', 'the', 'cpasymmetry', 'in', 'b', 'tau', 'nu', 'which', 'is', 'neither', 'experimentally', 'searched', 'for', 'nor', 'predicted', 'by', 'any', 'other', 'model', 'furthermore', 'we', 'show', 'that', 'the', 'novel', 'cpviolation', 'is', 'consistent', 'with', 'the', 'cpt', 'theorem', 'by', 'identifying', 'the', 'cpcompensating', 'mode', 'in', 'the', 'unparticle', 'sector']] | [-0.12631407064065092, 0.213351612483136, -0.08043893815980094, 0.12696598604374917, -0.0881105892848773, -0.19054032852262504, 0.07364165633306151, 0.2974759721365131, -0.19651713519983116, -0.2588678060297961, 0.03197245936092661, -0.22627042111803275, -0.15264810185085553, 0.139421347127922, 0.019585173886238795, 0.017864315388876884, 0.036236804284033225, 0.05033338359236473, -0.02286041723793281, -0.1908047798349232, 0.3079253844153441, 0.02860977098185447, 0.2239856808980713, 0.09346695653483515, 0.03413681786690579, 0.018818616775459932, -0.08350148152743207, -0.06562163425823216, -0.15936675697212493, 0.04075933809651703, 0.16603472954059234, 0.14457649555912272, 0.13920278938823058, -0.32121745214538006, -0.17909125947836238, 0.1924360617231883, 0.12218421835788205, 0.08693527740800418, -0.07007396779954433, -0.37908728808531017, 0.09931903428657622, -0.18352335736491396, -0.09778002865200282, -0.11588707100600004, -0.010036367419191072, -0.13825826585430223, -0.31927978220685826, 0.09771433457365779, 0.02682892361381015, 0.015781638930078414, -0.004500600257430409, -0.12464797487635104, -0.025643700123077533, -0.002779709808833775, 0.12367863154714377, 0.062163692956301767, 0.08503633430649882, -0.13874301263970917, -0.18500580532537375, 0.39809036089992916, -0.15108280772434884, -0.18290599199683696, 0.12162475401848616, -0.203085645338612, -0.14001841791218422, 0.09422417626273437, 0.11211746463888005, 0.05929244474553671, -0.21652365998044365, 0.164099433844848, -0.09730531553905762, 0.16297877634890745, 0.006530064249747112, 0.04431075215736618, 0.2134203508068792, 0.16237404837547878, 0.02971673916384089, 0.10849136692857309, -0.07578878889440513, -0.03522140297611229, -0.3926076861861788, -0.16508159158201735, -0.16253823880249343, 0.008952338697692212, -0.046723307118002995, -0.051266101830196184, 0.42304118844817895, 0.144910176109034, 0.20057233777202543, 0.013154097895718133, 0.2785499243134419, 0.13417256741066935, 0.07004327019084947, 0.06419183004678028, 0.31328753221657923, 0.11525107473974712, 0.10423142945424455, -0.27128954267617866, 0.05867096361872114, 0.07767219772012751] |
710.4431 | Heterogeneous Condensation | Vapor condensation on nanoparticle with radius smaller than the Kelvin radius
is considered as fluctuation or as the heterogeneous nucleation. The expression
for steady-state heterogeneous nucleation rate is obtained. Nucleation on
negatively charged nanoparticles is discussed. The report was made at 17th
International Nucleation and Atmospheric Conferences, Galway, Ireland, 2007.
| cond-mat.stat-mech | vapor condensation on nanoparticle with radius smaller than the kelvin radius is considered as fluctuation or as the heterogeneous nucleation the expression for steadystate heterogeneous nucleation rate is obtained nucleation on negatively charged nanoparticles is discussed the report was made at 17th international nucleation and atmospheric conferences galway ireland 2007 | [['vapor', 'condensation', 'on', 'nanoparticle', 'with', 'radius', 'smaller', 'than', 'the', 'kelvin', 'radius', 'is', 'considered', 'as', 'fluctuation', 'or', 'as', 'the', 'heterogeneous', 'nucleation', 'the', 'expression', 'for', 'steadystate', 'heterogeneous', 'nucleation', 'rate', 'is', 'obtained', 'nucleation', 'on', 'negatively', 'charged', 'nanoparticles', 'is', 'discussed', 'the', 'report', 'was', 'made', 'at', '17th', 'international', 'nucleation', 'and', 'atmospheric', 'conferences', 'galway', 'ireland', '2007']] | [-0.0846081257564947, 0.22752727995160968, -0.03325883219949901, 0.05838249258464202, -0.011789847926702351, -0.09164292328059673, 0.031693385438993575, 0.32522638492286204, -0.13166674539446832, -0.3291164437308908, 0.11961225643754006, -0.3348955379985273, -0.07490724107716233, 0.18646468251477927, -0.0070602821931242945, 0.014870166666805745, 0.024265792854130268, -0.0007746198493987322, 0.053398899454623464, -0.2695497901644558, 0.20297883309423922, 0.1779925411567092, 0.3832266851514578, 0.11954585362691432, 0.018635834222659468, -0.012279487550258636, -0.03355219956487417, 0.008066951166838407, -0.261255956441164, 0.04274946495890617, 0.2344851227104664, 0.02707044412381947, 0.2092455474101007, -0.456513396538794, -0.23086802568053827, -0.009116562232375145, 0.12118143986910582, 0.10255885678343475, -0.0666918066283688, -0.25128016239963474, -0.012957018362358212, -0.10278943538665772, -0.14761703019757988, 0.06736584354192018, 0.09271664549596607, 0.020714374985545875, -0.23007299944758416, 0.1594708420522511, -0.02126358333975077, 0.11298727337270975, -0.10689252405427396, -0.1861772728059441, -0.03741347027011216, 0.032857994833029806, 0.03459456949029118, -0.0021758819930255413, 0.29499586202204225, -0.06982880144380033, -0.08527466061990709, 0.3997254795581102, -0.054877822433190886, -0.050865422040224074, 0.1868004820868373, -0.19590780919417738, -0.001647532768547535, 0.2013148671388626, 0.14469840301084333, 0.11454086141660809, -0.1722234425134957, 0.004653399678645655, 0.007026028498075903, 0.21601983688771725, 0.2411525886738673, -0.09092588771134615, 0.273108731135726, 0.30309297077357766, 0.016835357900708912, 0.14178538394276985, -0.1325197512935847, -0.14778754518833012, -0.1963675567135215, -0.1688416062295437, -0.18373845838941633, 0.08581480239983648, -0.07909048989386065, -0.1901729485578835, 0.22424730237573384, 0.03538570274598896, 0.0708278676122427, -0.0013699560333043338, 0.21430809129029513, 0.037264882843010126, 0.050177292916923764, 0.03099854805506766, 0.2491049563512206, 0.13169499529525638, 0.21123469093814493, -0.24994405085686594, 0.12457209621556103, 0.11075281852390617] |
710.4432 | On the Role of the Normalization Factors $\kappa_n$ and of the
Pseudo-Metric ${\cal P} \neq {\cal P}^\dagger$ in Crypto-Hermitian Quantum
Models | Among ${\cal P}$-pseudo-Hermitian Hamiltonians $H ={\cal P}^{-1} H^\dagger
\cal P}$ with real spectra, the ''weakly pseudo-Hermitian" ones (i.e., those
employing non-self-adjoint ${\cal P} \neq {\cal P}^\dagger$) form a remarkable
subfamily. We list some reasons why it deserves a special attention. In
particular we show that whenever ${\cal P} \neq {\cal P}^\dagger$, the current
involutive operator of charge ${\cal C}$ gets complemented by a nonequivalent
alternative involutive quasiparity operator ${\cal Q}$. We show how, in this
language, the standard quantum mechanics is restored via the two alternative
inner products in the physical Hilbert space of states, with $<\psi_1|{\cal
PQ}|\psi_2>=< \psi_1|{\cal CP}|\psi_2>$.
| math-ph math.MP quant-ph | among cal ppseudohermitian hamiltonians h cal p1 hdagger cal p with real spectra the weakly pseudohermitian ones ie those employing nonselfadjoint cal p neq cal pdagger form a remarkable subfamily we list some reasons why it deserves a special attention in particular we show that whenever cal p neq cal pdagger the current involutive operator of charge cal c gets complemented by a nonequivalent alternative involutive quasiparity operator cal q we show how in this language the standard quantum mechanics is restored via the two alternative inner products in the physical hilbert space of states with psi_1cal pqpsi_2 psi_1cal cppsi_2 | [['among', 'cal', 'ppseudohermitian', 'hamiltonians', 'h', 'cal', 'p1', 'hdagger', 'cal', 'p', 'with', 'real', 'spectra', 'the', 'weakly', 'pseudohermitian', 'ones', 'ie', 'those', 'employing', 'nonselfadjoint', 'cal', 'p', 'neq', 'cal', 'pdagger', 'form', 'a', 'remarkable', 'subfamily', 'we', 'list', 'some', 'reasons', 'why', 'it', 'deserves', 'a', 'special', 'attention', 'in', 'particular', 'we', 'show', 'that', 'whenever', 'cal', 'p', 'neq', 'cal', 'pdagger', 'the', 'current', 'involutive', 'operator', 'of', 'charge', 'cal', 'c', 'gets', 'complemented', 'by', 'a', 'nonequivalent', 'alternative', 'involutive', 'quasiparity', 'operator', 'cal', 'q', 'we', 'show', 'how', 'in', 'this', 'language', 'the', 'standard', 'quantum', 'mechanics', 'is', 'restored', 'via', 'the', 'two', 'alternative', 'inner', 'products', 'in', 'the', 'physical', 'hilbert', 'space', 'of', 'states', 'with', 'psi_1cal', 'pqpsi_2', 'psi_1cal', 'cppsi_2']] | [-0.15915405616520883, 0.17945443443518053, -0.0069826984916754225, 0.060977403034872195, -0.0684120555438022, -0.22658447892048417, -0.0351300976422437, 0.3510777361175798, -0.2470586182985534, -0.17931959887055007, 0.011084112642144666, -0.33482396348250754, -0.16396060665237142, 0.07946373064113048, -0.0918570012733479, 0.053678698847664796, 0.07033047531582812, 0.10723662346680747, -0.12452095517878757, -0.1913604815985928, 0.3122185095797907, -0.04380278614414063, 0.14870196148911688, 0.011875711085133632, -0.0038531491572552537, -0.0134137092960721, 0.06892139608278236, -0.011407495258645987, -0.1665604907312298, 0.0832009229498192, 0.28366246248813387, 0.14860908917963822, 0.209096139717966, -0.3785315201954639, -0.09649812535907915, 0.21409666141931047, 0.15490789899721424, -0.018855992357860854, 0.018161354773489638, -0.2785710890163132, 0.07930121664015886, -0.20847000514573238, -0.1272835929536241, -0.09998756641165372, 0.15317314355931383, -0.12172411437185997, -0.3089744738052956, 0.01840773153247589, 0.1044506332936122, 0.0683821196162558, 0.024799872074583347, -0.16756091943565518, -0.09878936014385854, -0.039682440974927964, -0.014664268183046357, 0.07647211244825194, 0.08347716411833275, -0.06135488794670698, -0.08825631624959568, 0.4164060680988304, -0.037132103790583564, -0.24854283452905873, 0.07562364845913142, -0.19536134582805506, -0.2006011596345838, 0.07503764867408577, 0.022738768243567742, 0.16910217804236688, -0.03810175116411708, 0.29836617185402303, -0.08565628016367555, 0.08439325309913367, 0.04653140795516207, 0.09168747685691143, 0.11956894953556835, 0.04683714621313947, 0.022239806378220626, 0.12316458613334343, 0.06461365487267996, -0.0851786191961629, -0.407770084494606, -0.15287379941288778, -0.10585437834441186, 0.16141656596161563, -0.09578065624698362, -0.10485340450627809, 0.3400441590285404, 0.07109485057360948, 0.2287846056377872, 0.04272799940898697, 0.16965247345890136, 0.1228971145452654, 0.034683356788554325, 0.09258164457501249, 0.18025894878101487, 0.1561469471186122, 0.016029764719782992, -0.22624166747257907, -0.08062137554379854, 0.13157394448136714] |
710.4433 | Hot electrons induced by (rather) cold ions | Thin film metal-insulator-metal junctions are used in a novel approach to
investigate the dissipation of potential energy of multiply charged ions
impinging on a polycrystalline metal surface. The ion-metal interaction leads
to excited electrons and holes within the top layer. A substantial fraction of
these charge carriers is transported inwards and can be measured as an internal
current in the thin film tunnel junction. In Ag-AlOX-Al junctions, yields of
typically 0.1-1 electrons per impinging ion are detected in the bottom Al
layer. The separate effects of potential and kinetic energy on the tunneling
yield are investigated by varying the charges state of the Ar projectile ions
from 2+ to 9+ for kinetic energies in the range from 1 to 12 keV. The tunneling
yield is found to scale linearly with the potential energy of the projectile.
| cond-mat.mtrl-sci | thin film metalinsulatormetal junctions are used in a novel approach to investigate the dissipation of potential energy of multiply charged ions impinging on a polycrystalline metal surface the ionmetal interaction leads to excited electrons and holes within the top layer a substantial fraction of these charge carriers is transported inwards and can be measured as an internal current in the thin film tunnel junction in agaloxal junctions yields of typically 011 electrons per impinging ion are detected in the bottom al layer the separate effects of potential and kinetic energy on the tunneling yield are investigated by varying the charges state of the ar projectile ions from 2 to 9 for kinetic energies in the range from 1 to 12 kev the tunneling yield is found to scale linearly with the potential energy of the projectile | [['thin', 'film', 'metalinsulatormetal', 'junctions', 'are', 'used', 'in', 'a', 'novel', 'approach', 'to', 'investigate', 'the', 'dissipation', 'of', 'potential', 'energy', 'of', 'multiply', 'charged', 'ions', 'impinging', 'on', 'a', 'polycrystalline', 'metal', 'surface', 'the', 'ionmetal', 'interaction', 'leads', 'to', 'excited', 'electrons', 'and', 'holes', 'within', 'the', 'top', 'layer', 'a', 'substantial', 'fraction', 'of', 'these', 'charge', 'carriers', 'is', 'transported', 'inwards', 'and', 'can', 'be', 'measured', 'as', 'an', 'internal', 'current', 'in', 'the', 'thin', 'film', 'tunnel', 'junction', 'in', 'agaloxal', 'junctions', 'yields', 'of', 'typically', '011', 'electrons', 'per', 'impinging', 'ion', 'are', 'detected', 'in', 'the', 'bottom', 'al', 'layer', 'the', 'separate', 'effects', 'of', 'potential', 'and', 'kinetic', 'energy', 'on', 'the', 'tunneling', 'yield', 'are', 'investigated', 'by', 'varying', 'the', 'charges', 'state', 'of', 'the', 'ar', 'projectile', 'ions', 'from', '2', 'to', '9', 'for', 'kinetic', 'energies', 'in', 'the', 'range', 'from', '1', 'to', '12', 'kev', 'the', 'tunneling', 'yield', 'is', 'found', 'to', 'scale', 'linearly', 'with', 'the', 'potential', 'energy', 'of', 'the', 'projectile']] | [-0.10631407856934273, 0.2298388375229343, 0.007511745043682741, 0.020029895106650222, 0.03760403738384927, -0.12796378768667746, 0.04764320200340433, 0.3823855617153111, -0.24706075516348677, -0.3864803131384803, -0.06042417591010262, -0.35159961809056683, 0.04189098198244821, 0.1803935229250077, 0.02886557638638222, 0.004802646907741454, 0.007832855729858822, -0.04655531045299635, -0.033616280106744216, -0.15251132381607346, 0.28750604688565234, 0.08372865654458639, 0.2772862721901776, 0.14337260491485532, 0.0662029764559398, -0.054343140139348746, 0.07774710954417155, 0.008772861003986936, -0.11816837939906365, 0.0645617682055862, 0.2012214551600732, -0.08776678837038257, 0.19582295810122655, -0.5360126370814309, -0.2171209795094693, -0.004672699051895248, 0.1605886378944087, 0.12081441658350496, -0.09917496034437652, -0.241672591629452, 0.050571544335654646, -0.15804310375129554, -0.10283281063007664, 0.00650489112751475, 0.014908269568999757, 0.07195480372200706, -0.25112078815382394, 0.09958960391136247, 0.005196784796721455, -0.0009519012172275515, -0.09165474334245187, -0.14884525834393353, -0.12811351613030394, 0.04638812246857517, 0.07059472347540197, 0.06577322147234947, 0.255278020388266, -0.1074808749453679, -0.04494830182711802, 0.32620710780524387, -0.05883929101096939, -0.15503060532066582, 0.17148741126866707, -0.17982819349046297, 0.012032260524053404, 0.2328261504881084, 0.17673910941942525, 0.1399161817068095, -0.16835720203608387, 0.06114652949783242, 0.02502409926678207, 0.19063959110136958, 0.10913646777695629, 0.03608869941585433, 0.2523133185893686, 0.19383003297800533, 0.004945495148509073, 0.12471668202260165, -0.1941498215987917, -0.05136091547276227, -0.24964634000337613, -0.1921342286705248, -0.17065989399509532, 0.07470761459501488, -0.05112221822806776, -0.16031883661843724, 0.3915271670696562, 0.1065502887689022, 0.19744889644919825, -0.07722624708940067, 0.25492549026111827, 0.11572025661702517, 0.07351040222566729, 0.05728792432181315, 0.29523817069112646, 0.16372736482429248, 0.12980027772671257, -0.23107748826854488, 0.034158371030978525, -0.0002683266483024875] |
710.4434 | Lectures on the three--dimensional non--commutative spheres | These are expanded notes for a short course given at the Universidad Nacional
de La Plata. They aim at giving a self-contained account of the results of
Alain Connes and Michel Dubois--Violette.
| math.QA gr-qc | these are expanded notes for a short course given at the universidad nacional de la plata they aim at giving a selfcontained account of the results of alain connes and michel duboisviolette | [['these', 'are', 'expanded', 'notes', 'for', 'a', 'short', 'course', 'given', 'at', 'the', 'universidad', 'nacional', 'de', 'la', 'plata', 'they', 'aim', 'at', 'giving', 'a', 'selfcontained', 'account', 'of', 'the', 'results', 'of', 'alain', 'connes', 'and', 'michel', 'duboisviolette']] | [-0.11943763867020607, 0.09369135880842805, -0.19490222542663105, 0.16644066525623202, -0.11223500443156809, -0.1254451809618331, -0.07515880302526057, 0.2297460253466852, -0.14958721864968538, -0.2932571795536205, 0.13831911695888266, -0.32151344732847065, -0.08831731689861044, 0.22754431364592165, -0.20556922286050394, -0.10408373779500835, 0.049526707734912634, -0.04449226177530363, -0.037057842087961035, -0.3548532156855799, 0.2828171837609261, 0.23009654611814767, 0.19622442094259895, 0.07841510894650128, 0.1584154907031916, 0.09264508113847114, -0.11426131331245415, -0.05306245875544846, -0.2185421005997341, 0.1206282849307172, 0.39861403219401836, 0.09422123164404184, 0.3056818242184818, -0.40619679214432836, -0.027395548298954964, -0.031432939700607676, 0.03329095106164459, 0.09485491627128795, 0.005217246216489002, -0.4242284190841019, 0.06840632559033111, -0.1734896250818565, -0.09347419277764857, 0.02265278789855074, -0.0006154633301775903, -0.010782919125631452, -0.13770068413577974, -0.029081029497319832, 0.08449810702586547, 0.17618269007652998, -0.05813023301016074, -0.211115327430889, -0.005500419865711592, 0.13499977238825522, -0.032595014898106456, 0.05930431539309211, 0.009587483080395032, 0.04706757017993368, -0.06673592026345432, 0.272556410778634, -0.09510158481862163, -0.0007039529737085104, 0.15161637011624407, -0.14215672091813758, -0.2229762628703611, 0.1379790603532456, 0.11657805979484692, 0.11780854914104566, -0.0835951434855815, 0.21051511762016162, 0.017451284410981316, 0.056546339648775756, 0.17053367155313026, -0.04520117450738326, 0.25980258925119415, 0.05768218104640255, -0.06823583856748883, -0.02390618086064933, 0.03579953423468396, 0.005086007455247454, -0.36977354118425865, -0.17671764134138357, -0.08444909333775286, 0.07325129234232008, 0.03753267868933108, -0.13781852967804298, 0.3786048658657819, 0.06775181327247992, 0.1316090209002141, 0.0806851737870602, 0.1304461971303681, 0.020199702819809318, -0.027921135013457388, 0.06830962060485035, 0.1592229740053881, 0.11278119095368311, 0.30159551627002656, -0.11381600482854992, -0.017465533601352945, 0.21935386350378394] |
710.4435 | Manifestation of spin-orbit interaction in tunneling between 2D electron
layers | An influence of spin-orbit interaction on the tunneling between two 2D
electron layers is considered. Particular attention is addressed to the
relation between the contribution of Rashba and Dresselhaus types. It is shown
that without scattering of the electrons, the tunneling conductance can either
exhibit resonances at certain voltage values or be substantially suppressed
over the whole voltage range. The dependence of the conductance on voltage
turns out to be very sensitive to the relation between Rashba and Dresselhaus
contributions even in the absence of magnetic field. The elastic scattering
broadens the resonances in the first case and restores the conductance to a
larger magnitude in the latter one. These effects open possibility to determine
the parameters of spin-orbit interaction and electrons scattering time in
tunneling experiments with no necessity of external magnetic field.
| cond-mat.other | an influence of spinorbit interaction on the tunneling between two 2d electron layers is considered particular attention is addressed to the relation between the contribution of rashba and dresselhaus types it is shown that without scattering of the electrons the tunneling conductance can either exhibit resonances at certain voltage values or be substantially suppressed over the whole voltage range the dependence of the conductance on voltage turns out to be very sensitive to the relation between rashba and dresselhaus contributions even in the absence of magnetic field the elastic scattering broadens the resonances in the first case and restores the conductance to a larger magnitude in the latter one these effects open possibility to determine the parameters of spinorbit interaction and electrons scattering time in tunneling experiments with no necessity of external magnetic field | [['an', 'influence', 'of', 'spinorbit', 'interaction', 'on', 'the', 'tunneling', 'between', 'two', '2d', 'electron', 'layers', 'is', 'considered', 'particular', 'attention', 'is', 'addressed', 'to', 'the', 'relation', 'between', 'the', 'contribution', 'of', 'rashba', 'and', 'dresselhaus', 'types', 'it', 'is', 'shown', 'that', 'without', 'scattering', 'of', 'the', 'electrons', 'the', 'tunneling', 'conductance', 'can', 'either', 'exhibit', 'resonances', 'at', 'certain', 'voltage', 'values', 'or', 'be', 'substantially', 'suppressed', 'over', 'the', 'whole', 'voltage', 'range', 'the', 'dependence', 'of', 'the', 'conductance', 'on', 'voltage', 'turns', 'out', 'to', 'be', 'very', 'sensitive', 'to', 'the', 'relation', 'between', 'rashba', 'and', 'dresselhaus', 'contributions', 'even', 'in', 'the', 'absence', 'of', 'magnetic', 'field', 'the', 'elastic', 'scattering', 'broadens', 'the', 'resonances', 'in', 'the', 'first', 'case', 'and', 'restores', 'the', 'conductance', 'to', 'a', 'larger', 'magnitude', 'in', 'the', 'latter', 'one', 'these', 'effects', 'open', 'possibility', 'to', 'determine', 'the', 'parameters', 'of', 'spinorbit', 'interaction', 'and', 'electrons', 'scattering', 'time', 'in', 'tunneling', 'experiments', 'with', 'no', 'necessity', 'of', 'external', 'magnetic', 'field']] | [-0.20048567636977577, 0.17639463500273084, 0.0011287595496387846, 0.06474130524847128, -0.04842192403026926, -0.16201917936594518, 0.03256242591435952, 0.37715970210508626, -0.2925868631660271, -0.3335251455236949, -0.05449610268836146, -0.2986385235736675, -0.10403864679392427, 0.2193867538954868, 0.0501847935201072, -0.032688390596404, -0.0005259988829493523, -0.013496587178044354, -0.08414257606213439, -0.24036487304681994, 0.3312641302255719, 0.023217592254600752, 0.2768755098526825, 0.1552749971734054, 0.011393035831513689, 0.04540758991766888, 0.0802671079377908, 0.030489961279611757, -0.08952053463454193, 0.006425802630664252, 0.20673625371957532, -0.1209845052677582, 0.20565571934818777, -0.4535911462422627, -0.15928749453776808, 0.05677179559550957, 0.1493505978393855, 0.1415006122499732, -0.017151410189290433, -0.28210912701680757, 0.0011539439629040548, -0.12697363585066884, -0.08853274466271804, -0.04644673703057663, 0.03620681560549663, -0.014052522855240907, -0.2827567258196424, 0.08406253366682456, 0.06227126712702326, 0.036338423397878544, -0.07824771386508678, -0.07945814836811997, -0.05601145135614076, 0.10327106365241603, 0.11146630301077698, 0.021115423923830933, 0.1683221825940618, -0.15633974241704415, -0.08062972525940902, 0.348436818708346, -0.08370960726221996, -0.18747426961451324, 0.16934102313043967, -0.20613934370035777, -0.015921175591091612, 0.16643790823560375, 0.12417868290221624, 0.052016597996016704, -0.13758430575409822, 0.10473989818849837, 0.022684449443781275, 0.15285686232451934, 0.07577727117693858, 0.062265407792709546, 0.249457595383387, 0.15668084726620243, 0.05377659693693937, 0.11060645173950148, -0.15692924847478854, -0.04887849184920761, -0.24500167734726375, -0.10162136146326119, -0.18667964534417017, 0.07992413253766666, -0.05952988758834371, -0.16793379756172863, 0.41103709256624, 0.19011154832360125, 0.20262285836958396, -0.031598049952690284, 0.3067831496582992, 0.1594457581509843, 0.12876875764940546, 0.003530958483218035, 0.3203193206034267, 0.19508790565348827, 0.09034949353698002, -0.3503280328065435, 0.0775939554928232, -0.03691333845785972] |
710.4436 | Thermodynamic Casimir effects involving interacting field theories with
zero modes | Systems with an O(n) symmetrical Hamiltonian are considered in a
$d$-dimensional slab geometry of macroscopic lateral extension and finite
thickness $L$ that undergo a continuous bulk phase transition in the limit
$L\to\infty$. The effective forces induced by thermal fluctuations at and above
the bulk critical temperature $T_{c,\infty}$ (thermodynamic Casimir effect) are
investigated below the upper critical dimension $d^*=4$ by means of
field-theoretic renormalization group methods for the case of periodic and
special-special boundary conditions, where the latter correspond to the
critical enhancement of the surface interactions on both boundary planes. As
shown previously [\textit{Europhys. Lett.} \textbf{75}, 241 (2006)], the zero
modes that are present in Landau theory at $T_{c,\infty}$ make conventional
RG-improved perturbation theory in $4-\epsilon$ dimensions ill-defined. The
revised expansion introduced there is utilized to compute the scaling functions
of the excess free energy and the Casimir force for temperatures
$T\geqT_{c,\infty}$ as functions of $\mathsf{L}\equiv L/\xi_\infty$, where
$\xi_\infty$ is the bulk correlation length. Scaling functions of the
$L$-dependent residual free energy per area are obtained whose $\mathsf{L}\to0$
limits are in conformity with previous results for the Casimir amplitudes
$\Delta_C$ to $O(\epsilon^{3/2})$ and display a more reasonable
small-$\mathsf{L}$ behavior inasmuch as they approach the critical value
$\Delta_C$ monotonically as $\mathsf{L}\to 0$.
| cond-mat.stat-mech hep-th | systems with an on symmetrical hamiltonian are considered in a ddimensional slab geometry of macroscopic lateral extension and finite thickness l that undergo a continuous bulk phase transition in the limit ltoinfty the effective forces induced by thermal fluctuations at and above the bulk critical temperature t_cinfty thermodynamic casimir effect are investigated below the upper critical dimension d4 by means of fieldtheoretic renormalization group methods for the case of periodic and specialspecial boundary conditions where the latter correspond to the critical enhancement of the surface interactions on both boundary planes as shown previously textiteurophys lett textbf75 241 2006 the zero modes that are present in landau theory at t_cinfty make conventional rgimproved perturbation theory in 4epsilon dimensions illdefined the revised expansion introduced there is utilized to compute the scaling functions of the excess free energy and the casimir force for temperatures tgeqt_cinfty as functions of mathsflequiv lxi_infty where xi_infty is the bulk correlation length scaling functions of the ldependent residual free energy per area are obtained whose mathsflto0 limits are in conformity with previous results for the casimir amplitudes delta_c to oepsilon32 and display a more reasonable smallmathsfl behavior inasmuch as they approach the critical value delta_c monotonically as mathsflto 0 | [['systems', 'with', 'an', 'on', 'symmetrical', 'hamiltonian', 'are', 'considered', 'in', 'a', 'ddimensional', 'slab', 'geometry', 'of', 'macroscopic', 'lateral', 'extension', 'and', 'finite', 'thickness', 'l', 'that', 'undergo', 'a', 'continuous', 'bulk', 'phase', 'transition', 'in', 'the', 'limit', 'ltoinfty', 'the', 'effective', 'forces', 'induced', 'by', 'thermal', 'fluctuations', 'at', 'and', 'above', 'the', 'bulk', 'critical', 'temperature', 't_cinfty', 'thermodynamic', 'casimir', 'effect', 'are', 'investigated', 'below', 'the', 'upper', 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710.4437 | Homotopy dimension of orbits of Morse functions on surfaces | Let $f$ be a real- or circle-valued Morse function on a compact surface M
having exactly $n>0$ critical points. Denote by $O$ the orbit of $f$ with
respect to the right action of the group of diffeomorphisms of $M$. We show
that the connected components of $O$ have the homotopy type of a
finite-dimensional CW-complex. Actually, these connected components are
homotopy equivalent to a certain covering space of the $n$-th configuration
space of the interior of $M$. As a consequence we obtain that the fundamental
group of $O$ is a subgroup of the $n$-th braid group of $M$.
| math.AT math.GT | let f be a real or circlevalued morse function on a compact surface m having exactly n0 critical points denote by o the orbit of f with respect to the right action of the group of diffeomorphisms of m we show that the connected components of o have the homotopy type of a finitedimensional cwcomplex actually these connected components are homotopy equivalent to a certain covering space of the nth configuration space of the interior of m as a consequence we obtain that the fundamental group of o is a subgroup of the nth braid group of m | [['let', 'f', 'be', 'a', 'real', 'or', 'circlevalued', 'morse', 'function', 'on', 'a', 'compact', 'surface', 'm', 'having', 'exactly', 'n0', 'critical', 'points', 'denote', 'by', 'o', 'the', 'orbit', 'of', 'f', 'with', 'respect', 'to', 'the', 'right', 'action', 'of', 'the', 'group', 'of', 'diffeomorphisms', 'of', 'm', 'we', 'show', 'that', 'the', 'connected', 'components', 'of', 'o', 'have', 'the', 'homotopy', 'type', 'of', 'a', 'finitedimensional', 'cwcomplex', 'actually', 'these', 'connected', 'components', 'are', 'homotopy', 'equivalent', 'to', 'a', 'certain', 'covering', 'space', 'of', 'the', 'nth', 'configuration', 'space', 'of', 'the', 'interior', 'of', 'm', 'as', 'a', 'consequence', 'we', 'obtain', 'that', 'the', 'fundamental', 'group', 'of', 'o', 'is', 'a', 'subgroup', 'of', 'the', 'nth', 'braid', 'group', 'of', 'm']] | [-0.2255172501128091, 0.10438177838199297, -0.07257416876679172, -0.01855435877520477, -0.06338209728710353, -0.11555018933603958, 0.05081476712342808, 0.33857673083489037, -0.29128995068770436, -0.24170568178951912, 0.07669148201655064, -0.25321159373056523, -0.1124177767386736, 0.17215087779141885, -0.10846726782619953, -0.07739791959258062, 0.023469541487949237, 0.1589568679658126, -0.09157691923046142, -0.23844916054774645, 0.41192401732717243, -0.07572175904025076, 0.1482446402990959, -0.043900337778221894, 0.10572332681669873, -0.038842483780023696, 0.011292493714456807, 0.03712187042609522, -0.11947007257356522, 0.15158703904456403, 0.2369436100552961, 0.07255694256354199, 0.24163411886488295, -0.33905881587225867, -0.154892423304216, 0.19741639380856435, 0.14776374835387937, -0.08095870300063066, 0.019646592741138398, -0.2933178840642225, 0.15033101509515273, -0.1477202607546838, -0.17386623050504346, -0.012290280578391892, 0.11602164412924677, 0.057053608021565845, -0.23644409609996542, -0.04545387053596122, 0.07529934969901735, 0.08016110392173334, -0.05663156651948788, -0.09614186666012571, -0.14013333032762973, 0.1395092761091774, -0.017546762781198686, 0.09164801271565791, 0.10562568058601904, -0.053470810542681387, -0.07129105016570159, 0.4338920187651731, -0.11286868278545384, -0.20515831810783366, 0.14334640681401503, -0.21506764999666841, -0.138521020533517, 0.15750098485043462, 0.08366725312507882, 0.16954931127601208, 0.002179196541558723, 0.24803938370730197, -0.13160565293070917, 0.11478946101851761, 0.06734718184214922, -0.021110803354531527, 0.1637563572730869, 0.08838372050347376, 0.15591321826294155, 0.08930274023916762, -0.012058227021266155, 0.04363771128392189, -0.3601263775205126, -0.23435157249985758, -0.1734625610751005, 0.15864171450069692, -0.12564593162007479, -0.20942571596242487, 0.3789674574592417, 0.017075461525546044, 0.20439348425431064, 0.0981939701287418, 0.1866692018585888, 0.0929693439155722, 0.042337293537067514, 0.06427217306740278, 0.0820515090789722, 0.22204138180336022, -0.08893204109306085, -0.1968626814789842, -0.038818236639989276, 0.21164296646317354] |
710.4438 | Modified Actions for Gravity: Theory and Phenomenology | This thesis is devoted to the study of gravitational theories which can be
seen as modifications or generalisations of General Relativity. The motivation
for considering such theories, stemming from Cosmology, High Energy Physics and
Astrophysics is thoroughly discussed (cosmological problems, dark energy and
dark matter problems, the lack of success so far in obtaining a successful
formulation for Quantum Gravity). The basic principles which a gravitational
theory should follow, and their geometrical interpretation, are analysed in a
broad perspective which highlights the basic assumptions of General Relativity
and suggests possible modifications which might be made. A number of such
possible modifications are presented, focusing on certain specific classes of
theories: scalar-tensor theories, metric f(R) theories, Palatini f(R) theories,
metric-affine f(R) theories and Gauss--Bonnet theories. The characteristics of
these theories are fully explored and attention is payed to issues of dynamical
equivalence between them. Also, cosmological phenomenology within the realm of
each of the theories is discussed and it is shown that they can potentially
address the well-known cosmological problems. A number of viability criteria
are presented: cosmological observations, Solar System tests, stability
criteria, existence of exact solutions for common vacuum or matter
configurations etc. Finally, future perspectives in the field of modified
gravity are discussed and the possibility for going beyond a trial-and-error
approach to modified gravity is explored.
| gr-qc astro-ph hep-th | this thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of general relativity the motivation for considering such theories stemming from cosmology high energy physics and astrophysics is thoroughly discussed cosmological problems dark energy and dark matter problems the lack of success so far in obtaining a successful formulation for quantum gravity the basic principles which a gravitational theory should follow and their geometrical interpretation are analysed in a broad perspective which highlights the basic assumptions of general relativity and suggests possible modifications which might be made a number of such possible modifications are presented focusing on certain specific classes of theories scalartensor theories metric fr theories palatini fr theories metricaffine fr theories and gaussbonnet theories the characteristics of these theories are fully explored and attention is payed to issues of dynamical equivalence between them also cosmological phenomenology within the realm of each of the theories is discussed and it is shown that they can potentially address the wellknown cosmological problems a number of viability criteria are presented cosmological observations solar system tests stability criteria existence of exact solutions for common vacuum or matter configurations etc finally future perspectives in the field of modified gravity are discussed and the possibility for going beyond a trialanderror approach to modified gravity is explored | [['this', 'thesis', 'is', 'devoted', 'to', 'the', 'study', 'of', 'gravitational', 'theories', 'which', 'can', 'be', 'seen', 'as', 'modifications', 'or', 'generalisations', 'of', 'general', 'relativity', 'the', 'motivation', 'for', 'considering', 'such', 'theories', 'stemming', 'from', 'cosmology', 'high', 'energy', 'physics', 'and', 'astrophysics', 'is', 'thoroughly', 'discussed', 'cosmological', 'problems', 'dark', 'energy', 'and', 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710.4439 | Supersymmetric Interpretation of the EGRET Excess in Diffuse Galactic
Gamma Rays | Recently it was shown that the excess of diffuse Galactic gamma rays above 1
GeV could be interpreted as a Dark Matter annihilation signal. From the
spectral shape of the excess it is possible to determine a range for the
allowed WIMP mass which can be used to test the supersymmetric parameter space.
It is found that the EGRET excess combined with electroweak and other
constraints, e.g. relic denisity or direct detection limits, is fully
consistent with the minimal mSUGRA model for scalars in the TeV range and
gauginos below 500 GeV.
| hep-ph | recently it was shown that the excess of diffuse galactic gamma rays above 1 gev could be interpreted as a dark matter annihilation signal from the spectral shape of the excess it is possible to determine a range for the allowed wimp mass which can be used to test the supersymmetric parameter space it is found that the egret excess combined with electroweak and other constraints eg relic denisity or direct detection limits is fully consistent with the minimal msugra model for scalars in the tev range and gauginos below 500 gev | [['recently', 'it', 'was', 'shown', 'that', 'the', 'excess', 'of', 'diffuse', 'galactic', 'gamma', 'rays', 'above', '1', 'gev', 'could', 'be', 'interpreted', 'as', 'a', 'dark', 'matter', 'annihilation', 'signal', 'from', 'the', 'spectral', 'shape', 'of', 'the', 'excess', 'it', 'is', 'possible', 'to', 'determine', 'a', 'range', 'for', 'the', 'allowed', 'wimp', 'mass', 'which', 'can', 'be', 'used', 'to', 'test', 'the', 'supersymmetric', 'parameter', 'space', 'it', 'is', 'found', 'that', 'the', 'egret', 'excess', 'combined', 'with', 'electroweak', 'and', 'other', 'constraints', 'eg', 'relic', 'denisity', 'or', 'direct', 'detection', 'limits', 'is', 'fully', 'consistent', 'with', 'the', 'minimal', 'msugra', 'model', 'for', 'scalars', 'in', 'the', 'tev', 'range', 'and', 'gauginos', 'below', '500', 'gev']] | [-0.021511488336977642, 0.2211467737618547, -0.052691507511414014, 0.20085121267398431, -0.1440199273791942, -0.11924942324940975, 0.018095435190863988, 0.382772061999396, -0.2321966626927011, -0.40536247717810203, 0.04930231170242673, -0.2891049595692983, 0.036999960048738255, 0.21202691813808058, 0.021144991100939748, 0.05943845797862325, 0.02490850732083545, 0.04249660144713554, -0.014136773928779864, -0.20468593205089916, 0.2375777822172085, 0.11198429600591515, 0.16741165315097833, 0.09612210269935512, 0.07542016325968799, -0.05164688536487929, -0.008447594306134915, -0.06891528023234159, -0.11917916946909467, 0.06572287781982795, 0.22617077748649395, 0.09669978811231615, 0.06402470095973503, -0.3004284044113624, -0.2828315109894662, 0.24757790572654742, 0.16723487173398358, -0.004614707168222374, -0.06408128535866246, -0.3453642980625423, 0.12961107636750727, -0.2252576116083579, -0.11295636594909561, 0.01153043070091651, -0.02437946831316247, -0.08675423709696138, -0.28042992992469895, 0.1119075995885286, -0.03637491192177429, -0.06117667500339039, -0.055192078775879776, -0.13811587448395624, -0.07913807579469713, -0.03224591007916727, 0.1347062822218964, 0.03654696877053069, 0.2231711262061803, -0.14936824431540546, -0.12223295548900061, 0.4232075466968856, -0.09666506477355302, -0.10066869975691968, 0.19316729488123752, -0.15718641707284764, -0.1527975285579297, 0.2181116982189181, 0.11728121416008734, 0.044656711223709226, -0.1811968599251666, 0.17055205057584935, -0.05971854726609948, 0.21208573572828873, 0.0633077637169633, 0.01588971542890419, 0.2922338857264309, 0.17543006766137187, 0.11670841606702287, 0.04130515363898927, -0.17938410838717941, -0.009649942148666173, -0.3923194607422984, -0.09845479416077609, -0.12315182403180298, 0.008793453238188075, -0.08255880622635851, -0.05304955357556477, 0.348016994693163, 0.13201644144194957, 0.26125370677570803, 0.028551484669551028, 0.27427507157099773, 0.1153815490600479, 0.09548917163040611, 0.05666258251089808, 0.3770137518838785, 0.1219529944605061, 0.09008866325941878, -0.14194275705133574, -0.0014226665147222006, -0.033066373819915146] |
710.444 | Role of symmetry in the interplay of T=0 quantum-phase transitions with
unconventional T>0 transport properties in integrable quantum lattice systems | We show that a generalized charge SU(2) symmetry of the one-dimensional (1D)
Hubbard model in an infinitesimal flux $\phi$ generates half-filling states
from metallic states which lead to a finite charge stiffness $D(T)$ at finite
temperature $T$, whose $T$ dependence we study. Our results are of general
nature for many integrable quantum lattice systems, reveal the microscopic
mechanisms behind their exotic $T>0$ transport properties and the interplay
with T=0 quantum-phase transitions, and contribute to the further understanding
of the transport of charge in systems of interacting ultracold fermionic atoms
in 1D optical lattices, quasi-1D compounds, and 1D nanostructures.
| cond-mat.str-el cond-mat.other | we show that a generalized charge su2 symmetry of the onedimensional 1d hubbard model in an infinitesimal flux phi generates halffilling states from metallic states which lead to a finite charge stiffness dt at finite temperature t whose t dependence we study our results are of general nature for many integrable quantum lattice systems reveal the microscopic mechanisms behind their exotic t0 transport properties and the interplay with t0 quantumphase transitions and contribute to the further understanding of the transport of charge in systems of interacting ultracold fermionic atoms in 1d optical lattices quasi1d compounds and 1d nanostructures | [['we', 'show', 'that', 'a', 'generalized', 'charge', 'su2', 'symmetry', 'of', 'the', 'onedimensional', '1d', 'hubbard', 'model', 'in', 'an', 'infinitesimal', 'flux', 'phi', 'generates', 'halffilling', 'states', 'from', 'metallic', 'states', 'which', 'lead', 'to', 'a', 'finite', 'charge', 'stiffness', 'dt', 'at', 'finite', 'temperature', 't', 'whose', 't', 'dependence', 'we', 'study', 'our', 'results', 'are', 'of', 'general', 'nature', 'for', 'many', 'integrable', 'quantum', 'lattice', 'systems', 'reveal', 'the', 'microscopic', 'mechanisms', 'behind', 'their', 'exotic', 't0', 'transport', 'properties', 'and', 'the', 'interplay', 'with', 't0', 'quantumphase', 'transitions', 'and', 'contribute', 'to', 'the', 'further', 'understanding', 'of', 'the', 'transport', 'of', 'charge', 'in', 'systems', 'of', 'interacting', 'ultracold', 'fermionic', 'atoms', 'in', '1d', 'optical', 'lattices', 'quasi1d', 'compounds', 'and', '1d', 'nanostructures']] | [-0.1631953847613566, 0.2709157244619802, -0.06008482630820755, 0.033129795045800964, 0.010705553415725579, -0.20136755719134697, 0.05029476084152465, 0.36857779114982303, -0.2687722332110362, -0.17929767220452122, 0.002032431603970044, -0.34939672570314484, -0.130086500801108, 0.12774632815794296, 0.08563757703249932, 0.05518164413208106, -0.013835932118628097, -0.02023264681397728, -0.1362262279512741, -0.2125349142365199, 0.2816484757005332, -0.02559446349825558, 0.27680131545936576, 0.13098401805072338, 0.04933573994595481, 0.002190815384632775, 0.10967457824747781, -0.029248041975102862, -0.17135328551724954, 0.053917827696434925, 0.2484780158800054, -0.11736942671847586, 0.13404533920372474, -0.48435552235768764, -0.25769720964932014, 0.05444630243986541, 0.1440138794417607, 0.175540214293988, -0.05685878560963866, -0.29285558806352163, 0.004547335681438979, -0.15376996002825244, -0.1871456636807273, -0.125701705611558, 0.02357013199516401, 0.038417283937392036, -0.22597553696464368, 0.10906214133969375, 0.11183933028951287, 0.10439820819515355, -0.09989300722016345, -0.11003628370176279, -0.08907714195558991, 0.05925958876840162, -0.022631346164936467, -0.0004732044560986818, 0.1379647954920668, -0.15392927632534079, -0.12766457790311672, 0.38698593443449664, -0.045483238309056366, -0.15537668475691152, 0.2169535646205578, -0.16783911291966025, -0.10327666967974178, 0.14083651381506757, 0.14026430269171083, 0.07037166666390365, -0.13129387712296176, 0.13217772078541185, -0.049451854303289126, 0.145155318737997, -0.017627192024445654, 0.12265796087770153, 0.27535774397701784, 0.17423827241516995, 0.03086656941652146, 0.147907084930327, -0.05367241852099494, -0.1650281445864512, -0.2739108930037794, -0.15973036544045852, -0.20162159281459693, 0.10456638591725151, -0.049486529281183515, -0.1950720822609657, 0.4036109760137541, 0.16907207553312942, 0.20133604899010793, -0.0350470612246106, 0.1658897305819757, 0.11746928314987228, 0.02088455747271299, 0.04056098673502173, 0.16417975006482508, 0.19585732010440254, 0.08940881609736125, -0.35430831873399793, -0.04730866736333285, 0.08917365685029298] |
710.4441 | Calabi-Yau cones from contact reduction | We consider a generalization of Einstein-Sasaki manifolds, which we
characterize in terms both of spinors and differential forms, that in the real
analytic case corresponds to contact manifolds whose symplectic cone is
Calabi-Yau. We construct solvable examples in seven dimensions. Then, we
consider circle actions that preserve the structure, and determine conditions
for the contact reduction to carry an induced structure of the same type. We
apply this construction to obtain a new hypo-contact structure on S^2\times
T^3.
| math.DG | we consider a generalization of einsteinsasaki manifolds which we characterize in terms both of spinors and differential forms that in the real analytic case corresponds to contact manifolds whose symplectic cone is calabiyau we construct solvable examples in seven dimensions then we consider circle actions that preserve the structure and determine conditions for the contact reduction to carry an induced structure of the same type we apply this construction to obtain a new hypocontact structure on s2times t3 | [['we', 'consider', 'a', 'generalization', 'of', 'einsteinsasaki', 'manifolds', 'which', 'we', 'characterize', 'in', 'terms', 'both', 'of', 'spinors', 'and', 'differential', 'forms', 'that', 'in', 'the', 'real', 'analytic', 'case', 'corresponds', 'to', 'contact', 'manifolds', 'whose', 'symplectic', 'cone', 'is', 'calabiyau', 'we', 'construct', 'solvable', 'examples', 'in', 'seven', 'dimensions', 'then', 'we', 'consider', 'circle', 'actions', 'that', 'preserve', 'the', 'structure', 'and', 'determine', 'conditions', 'for', 'the', 'contact', 'reduction', 'to', 'carry', 'an', 'induced', 'structure', 'of', 'the', 'same', 'type', 'we', 'apply', 'this', 'construction', 'to', 'obtain', 'a', 'new', 'hypocontact', 'structure', 'on', 's2times', 't3']] | [-0.1764406935831943, 0.029463778354428625, -0.05218154431000207, 0.10098667618177541, -0.10992538945616356, -0.13117178216237912, -0.020672637695603846, 0.3612280989718902, -0.2421606524859543, -0.2259865570027236, 0.12832796367568677, -0.25974833444002776, -0.2355262730754428, 0.1786273049747015, -0.1065356693678088, -0.05842320402697116, 0.0285227549407486, 0.07764713713814589, -0.16187087728871735, -0.29095632623723866, 0.4418070565352773, -0.041514420900010056, 0.22093075276775795, 0.04742665631793343, 0.15833408708454338, 0.0002813046773919812, -0.0035357169516674882, 0.021719333377074112, -0.1983823269651371, 0.12692732604329365, 0.22989881580526178, 0.041358887998072746, 0.10493073168259065, -0.40691810901966186, -0.18056312698966145, 0.13294704337060065, 0.10538441206437427, 0.08502760002323027, 0.014883205187265072, -0.2450390560401289, 0.09746093973033614, -0.14296433628331146, -0.20626884094717635, -0.1482766033573584, -0.008297212034850926, -0.037214326983704776, -0.2105311484661183, -0.011821830590775647, 0.08389562336945688, 0.04992920769163666, -0.09895850926057084, -0.04600882383861712, -0.02824984441281526, 0.12827045786158217, -0.0045749322728967515, -0.018677305043130726, 0.07739539157792732, -0.07856051284553749, -0.14690662315115333, 0.37301524063306196, -0.08877196524582513, -0.30895142191597685, 0.14499837019807332, -0.13703555292631317, -0.1924220941622149, 0.11146906430397618, 0.19608243322604663, 0.182120119402935, -0.10941592097968807, 0.1484189121908351, -0.07180892550326012, 0.08784191116884157, 0.1110947724165661, -0.019096077347246856, 0.11520513223314827, 0.11571643280482234, 0.1387222219778636, 0.17937032836670805, -0.04080242556277904, -0.1261842620450181, -0.36207229195331986, -0.2068123834531954, -0.08086361956189979, 0.1723451341091135, -0.07067049110826867, -0.2087423721715421, 0.4007070871771543, 0.05106402945692663, 0.25305595937148706, 0.1003915677708876, 0.20081461303226358, 0.07948619890474266, 0.04934769830146393, 0.07124984478834992, 0.1683770205656236, 0.1698968788766145, -0.00861594190385628, -0.17182386321977217, -0.08760762542437811, 0.13068217492334291] |
710.4442 | Neutron star sequences and the starquake glitch model for the Crab and
the Vela pulsars | We construct for the first time, the sequences of stable neutron star (NS)
models capable of explaining simultaneously, the glitch healing parameters,
$Q$, of both the pulsars, the Crab ($Q \geq 0.7$) and the Vela ($Q \leq 0.2$),
on the basis of starquake mechanism of glitch generation, whereas the
conventional NS models cannot give such consistent explanation. Furthermore,
our models also yield an upper bound on NS masses similar to those obtained in
the literature for a variety of modern equations of state (EOSs) compatible
with causality and dynamical stability. The results obtained in this paper set
an upper and lower bound on the energy of a gravitationally redshifted
electron-positron annihilation line in the range of about 0.309 - 0.315 MeV
from the Crab and in the range of about 0.425 - 0.439 MeV from the Vela pulsar.
| astro-ph | we construct for the first time the sequences of stable neutron star ns models capable of explaining simultaneously the glitch healing parameters q of both the pulsars the crab q geq 07 and the vela q leq 02 on the basis of starquake mechanism of glitch generation whereas the conventional ns models cannot give such consistent explanation furthermore our models also yield an upper bound on ns masses similar to those obtained in the literature for a variety of modern equations of state eoss compatible with causality and dynamical stability the results obtained in this paper set an upper and lower bound on the energy of a gravitationally redshifted electronpositron annihilation line in the range of about 0309 0315 mev from the crab and in the range of about 0425 0439 mev from the vela pulsar | [['we', 'construct', 'for', 'the', 'first', 'time', 'the', 'sequences', 'of', 'stable', 'neutron', 'star', 'ns', 'models', 'capable', 'of', 'explaining', 'simultaneously', 'the', 'glitch', 'healing', 'parameters', 'q', 'of', 'both', 'the', 'pulsars', 'the', 'crab', 'q', 'geq', '07', 'and', 'the', 'vela', 'q', 'leq', '02', 'on', 'the', 'basis', 'of', 'starquake', 'mechanism', 'of', 'glitch', 'generation', 'whereas', 'the', 'conventional', 'ns', 'models', 'can', 'not', 'give', 'such', 'consistent', 'explanation', 'furthermore', 'our', 'models', 'also', 'yield', 'an', 'upper', 'bound', 'on', 'ns', 'masses', 'similar', 'to', 'those', 'obtained', 'in', 'the', 'literature', 'for', 'a', 'variety', 'of', 'modern', 'equations', 'of', 'state', 'eoss', 'compatible', 'with', 'causality', 'and', 'dynamical', 'stability', 'the', 'results', 'obtained', 'in', 'this', 'paper', 'set', 'an', 'upper', 'and', 'lower', 'bound', 'on', 'the', 'energy', 'of', 'a', 'gravitationally', 'redshifted', 'electronpositron', 'annihilation', 'line', 'in', 'the', 'range', 'of', 'about', '0309', '0315', 'mev', 'from', 'the', 'crab', 'and', 'in', 'the', 'range', 'of', 'about', '0425', '0439', 'mev', 'from', 'the', 'vela', 'pulsar']] | [-0.08733484830306232, 0.15897359940870054, -0.03809782630002575, 0.10133875373761123, -0.0625756485578876, -0.06368620393298104, 0.07486251886529563, 0.325075136980273, -0.19953468961328485, -0.36264782814975205, 0.05591490598613002, -0.24714147417812887, 0.0057779583284617774, 0.29074971091229956, -0.006759712251623834, 0.021315094324875706, 0.08079976762175886, 0.04339506606279064, -0.08038859909577091, -0.2013734982935941, 0.2777962917258052, 0.05829623933663986, 0.2018264143652942, 0.04080683995636493, 0.09317636895261154, -0.0743649744923247, 0.045779739586418886, -0.09346874173812188, -0.18704698126028924, 0.09032601602783386, 0.1983646411742889, 0.12493665917796919, 0.13075646760798718, -0.3912881718554201, -0.21256332876786155, 0.11122855665943973, 0.14755558241226704, 0.03466547769324405, -0.0031520088745389868, -0.2798904047660312, 0.11357816019143066, -0.23027028993832588, -0.14866710052890092, 0.017179587189733548, 0.05983847386142525, 0.04477318545232398, -0.2464465773052597, 0.11381088488673227, 0.08241116991806198, 0.023604998752104294, -0.1552324504455565, -0.18618757968401387, 0.0041950020826945125, 0.012953763854873441, 0.04758880434754937, 0.06265283868491758, 0.07264964132574829, -0.151019675278166, -0.10895159604014272, 0.36449592559170113, -0.05565803883559866, -0.059220627018243724, 0.1478818904397751, -0.19681956621913416, -0.15996810671513098, 0.1666259575077761, 0.14072344757371794, 0.12734154548604776, -0.1040537949026066, 0.04568042515702274, -0.04024707740444663, 0.24164055714071014, 0.08263678238285284, 0.04257358995735319, 0.26005691058090785, 0.1622496187915502, 0.018384144559883287, 0.07446201281948354, -0.16540922061710137, -0.04587177958094726, -0.3043955983356131, -0.0609016387398783, -0.13482614286243066, 0.09823198854274466, -0.14779841266937865, -0.09606119262285694, 0.3811433882670083, 0.1305242826402473, 0.20204503329158047, 0.06010445434409772, 0.25841809482905115, 0.1368521837634247, 0.019858401816807363, 0.10332996332949966, 0.28799039011236527, 0.15985789853420082, 0.08575192452272414, -0.21792058774140954, 0.0563839864237302, 0.007156955486122709] |
710.4443 | Are neutrino masses dynamically generated by quantum gravity
attractions? | It is argued that the quantum gravity attractions dynamically generate tiny
degenerate Majorana masses for the neutrinos. The unequal masses of the charged
leptons then induce a computable neutrino mass matrix with splittings and
mixings through the electroweak interactions. In this way the Standard Model
including quantum gravity can accommodate and predict the neutrino masses and
mixings. Some consequences are pointed out.
| hep-th hep-ph | it is argued that the quantum gravity attractions dynamically generate tiny degenerate majorana masses for the neutrinos the unequal masses of the charged leptons then induce a computable neutrino mass matrix with splittings and mixings through the electroweak interactions in this way the standard model including quantum gravity can accommodate and predict the neutrino masses and mixings some consequences are pointed out | [['it', 'is', 'argued', 'that', 'the', 'quantum', 'gravity', 'attractions', 'dynamically', 'generate', 'tiny', 'degenerate', 'majorana', 'masses', 'for', 'the', 'neutrinos', 'the', 'unequal', 'masses', 'of', 'the', 'charged', 'leptons', 'then', 'induce', 'a', 'computable', 'neutrino', 'mass', 'matrix', 'with', 'splittings', 'and', 'mixings', 'through', 'the', 'electroweak', 'interactions', 'in', 'this', 'way', 'the', 'standard', 'model', 'including', 'quantum', 'gravity', 'can', 'accommodate', 'and', 'predict', 'the', 'neutrino', 'masses', 'and', 'mixings', 'some', 'consequences', 'are', 'pointed', 'out']] | [-0.11195586525249265, 0.39656165311293257, -0.01393330991437148, 0.26730661110712156, -0.048164771148754705, -0.2002131377361835, 0.013517968589439988, 0.2936608075134216, -0.2256266468715283, -0.31749917434588554, -0.023300159454060297, -0.2809003706600878, -0.06158677224753304, 0.13463899279539024, 0.04684633241906282, 0.028399151982739568, 0.0591930475822019, -0.005002424661670962, -0.09960874886113039, -0.24836473077753438, 0.3328545337933446, 0.004111020867111942, 0.1709821144299161, 0.09689601478467305, 0.08965850971458901, -0.10573481281678523, 0.007193708446838202, -0.08929257429835777, -0.05771025528273669, -0.003416777013861124, 0.14700909636373963, 0.05423095262789678, 0.1023197086047261, -0.3739193730476883, -0.1767957164575496, 0.18146343792097702, 0.1335396256312848, 0.15989748399043757, -0.1402927730908437, -0.3822789278422152, 0.061637133714788024, -0.2606396385799012, -0.1414030821723563, -0.110570153210222, -0.06036186057533468, -0.0940870849139643, -0.328276046686956, 0.07997970849335674, -0.06551499926905718, -0.08923215791583061, 0.004330275662904305, -0.15425417392191687, -0.07510573374888589, 0.08654936332435857, 0.18834321204790724, -0.07368994888008362, 0.12820369261316955, -0.11558663683864588, -0.11471227991334614, 0.49024428427876576, -0.051611767743804285, -0.21280927811899492, 0.14417867619739544, -0.14501779088975802, -0.11699837917131523, 0.07923380781205432, 0.15039162379839727, 0.04501796416157196, -0.18964625145458885, 0.15867428625501961, -0.08214431532448338, 0.1468880807778107, 0.06878228816804627, 0.05396136365860941, 0.41303229031543576, 0.14169418553431187, 0.05847809986481743, -0.06164445837719306, -0.05654686368671396, -0.07935014201868926, -0.340554172834081, -0.11706385883172193, -0.08459112474754933, 0.06602162506310232, -0.07690545456834146, -0.13437658833760407, 0.40024459950866237, 0.17975639241687472, 0.2087256283979983, 0.058672517879101854, 0.27144002007140267, 0.04181764483632099, 0.1279260065226305, 0.038605829289618636, 0.3464915339723267, 0.21931586621869956, 0.05893248832604337, -0.2839941182324002, -0.0462219094657602, 0.08143855062042994] |
710.4444 | Charge and Spin Transport in the One-dimensional Hubbard Model | In this paper we study the charge and spin currents transported by the
elementary excitations of the one-dimensional Hubbard model. The corresponding
current spectra are obtained by both analytic methods and numerical solution of
the Bethe-ansatz equations. For the case of half-filling, we find that the
spin-triplet excitations carry spin but no charge, while charge $\eta$-spin
triplet excitations carry charge but no spin, and both spin-singlet and charge
$\eta$-spin-singlet excitations carry neither spin nor charge currents.
| cond-mat.str-el | in this paper we study the charge and spin currents transported by the elementary excitations of the onedimensional hubbard model the corresponding current spectra are obtained by both analytic methods and numerical solution of the betheansatz equations for the case of halffilling we find that the spintriplet excitations carry spin but no charge while charge etaspin triplet excitations carry charge but no spin and both spinsinglet and charge etaspinsinglet excitations carry neither spin nor charge currents | [['in', 'this', 'paper', 'we', 'study', 'the', 'charge', 'and', 'spin', 'currents', 'transported', 'by', 'the', 'elementary', 'excitations', 'of', 'the', 'onedimensional', 'hubbard', 'model', 'the', 'corresponding', 'current', 'spectra', 'are', 'obtained', 'by', 'both', 'analytic', 'methods', 'and', 'numerical', 'solution', 'of', 'the', 'betheansatz', 'equations', 'for', 'the', 'case', 'of', 'halffilling', 'we', 'find', 'that', 'the', 'spintriplet', 'excitations', 'carry', 'spin', 'but', 'no', 'charge', 'while', 'charge', 'etaspin', 'triplet', 'excitations', 'carry', 'charge', 'but', 'no', 'spin', 'and', 'both', 'spinsinglet', 'and', 'charge', 'etaspinsinglet', 'excitations', 'carry', 'neither', 'spin', 'nor', 'charge', 'currents']] | [-0.19560028479124109, 0.21923618101670098, -0.010960829630494117, 0.09440102242399007, -0.007754082127163808, -0.13961149954547486, 0.06412130405039837, 0.3521270220478376, -0.16756717878083388, -0.21325620516125735, 0.013011003700084985, -0.36201356709003446, -0.06140492394644146, 0.110998443858698, 0.13402637176215648, -0.033400515653193, -0.013333251817772786, -0.010324498489499092, -0.15337222040630877, -0.16026205600549778, 0.29847236108034847, -0.035922052537401515, 0.2917106812198957, 0.12829941436648368, 0.06212692372500896, 0.05590934714302421, 0.03725854026774565, -0.015709405311693746, -0.14528774912517595, 0.04457092329859733, 0.25197459337611994, -0.07914114627987147, 0.11014800769587357, -0.5306315271556378, -0.19047884697715442, 0.0705978904167811, 0.17726799052829545, 0.21217273600089054, -0.09687698899457851, -0.27919354917791983, 0.04130383228262265, -0.255469202324748, -0.14308778168323139, -0.19189524297912916, -0.018893552732964357, 0.00925475480267778, -0.23136482243115702, 0.15658042967319488, 0.13600830603390932, 0.061057559127608935, -0.10786262625673165, -0.1486770817389091, -0.1908746832360824, 0.05604713396479686, 0.1006596484888966, 0.03283972009085119, 0.15362960336109002, -0.16602135595865547, -0.17548628188669682, 0.26625304753581686, -0.011381006576120853, -0.27285168441633384, 0.13145244186123212, -0.18882637197772661, -0.026239094504465658, 0.16271816793829202, 0.024262624622012178, 0.13585529367129007, -0.1688170857230822, 0.10762937382794917, -0.06244685900087158, 0.1743188621813897, -0.0164493559114635, 0.12153836390934884, 0.305765522941947, 0.09200379968931277, 0.06932370462765296, 0.07929379154462367, -0.12104628900686899, -0.13333160446335873, -0.27314193817476434, -0.15038025877128045, -0.22451169883211453, 0.06960501601822519, 0.031227045041353752, -0.14074948248142996, 0.4646037763853868, 0.17785396374762058, 0.13457845268771051, -0.0179087487111489, 0.2573380593334635, 0.15575926564323406, 0.043198717969159285, 0.08813876000543436, 0.2182426912089189, 0.18597922196301322, 0.11549390024815996, -0.3504380963742733, -0.06251795164619883, 0.06203658169756333] |
710.4445 | On two pictures in the heuristic approach to gravity | We examine the heuristic approach to constant gravitational field by Dehnen,
H\"onl and Westpfahl, extending it everywhere beyond linear approximation. Then
it becomes flexible to accommodate possible modifications of General
Relativity. We have found that two pictures introduced in the related paper by
Thirring are helpful in better understanding some features of gravitation. In
particular, this approach suggest that the privileged system for constant
gravitational field must be the isotropic one and that the requirement of gauge
invariance in gravitation theory may be a luxury; it is sufficient to take care
that the nonphysical degrees of freedom do not invalidate calculations. It
follows from this approach that gravitational constant should depend on
gravitational field and some universality in the form of metric of an
asymmetric body is suggested.
| gr-qc | we examine the heuristic approach to constant gravitational field by dehnen honl and westpfahl extending it everywhere beyond linear approximation then it becomes flexible to accommodate possible modifications of general relativity we have found that two pictures introduced in the related paper by thirring are helpful in better understanding some features of gravitation in particular this approach suggest that the privileged system for constant gravitational field must be the isotropic one and that the requirement of gauge invariance in gravitation theory may be a luxury it is sufficient to take care that the nonphysical degrees of freedom do not invalidate calculations it follows from this approach that gravitational constant should depend on gravitational field and some universality in the form of metric of an asymmetric body is suggested | [['we', 'examine', 'the', 'heuristic', 'approach', 'to', 'constant', 'gravitational', 'field', 'by', 'dehnen', 'honl', 'and', 'westpfahl', 'extending', 'it', 'everywhere', 'beyond', 'linear', 'approximation', 'then', 'it', 'becomes', 'flexible', 'to', 'accommodate', 'possible', 'modifications', 'of', 'general', 'relativity', 'we', 'have', 'found', 'that', 'two', 'pictures', 'introduced', 'in', 'the', 'related', 'paper', 'by', 'thirring', 'are', 'helpful', 'in', 'better', 'understanding', 'some', 'features', 'of', 'gravitation', 'in', 'particular', 'this', 'approach', 'suggest', 'that', 'the', 'privileged', 'system', 'for', 'constant', 'gravitational', 'field', 'must', 'be', 'the', 'isotropic', 'one', 'and', 'that', 'the', 'requirement', 'of', 'gauge', 'invariance', 'in', 'gravitation', 'theory', 'may', 'be', 'a', 'luxury', 'it', 'is', 'sufficient', 'to', 'take', 'care', 'that', 'the', 'nonphysical', 'degrees', 'of', 'freedom', 'do', 'not', 'invalidate', 'calculations', 'it', 'follows', 'from', 'this', 'approach', 'that', 'gravitational', 'constant', 'should', 'depend', 'on', 'gravitational', 'field', 'and', 'some', 'universality', 'in', 'the', 'form', 'of', 'metric', 'of', 'an', 'asymmetric', 'body', 'is', 'suggested']] | [-0.12297872367817612, 0.12591033690853418, -0.12465090502057195, 0.10175606139403369, -0.13784691392784082, -0.16540516158639793, -0.014044487410934553, 0.3350363303205028, -0.2229916082606429, -0.2852563271077261, 0.061317976773901293, -0.21255005052911916, -0.19980321021100123, 0.1716228088554335, -0.06490916902169822, 0.008883356674766493, 0.008719173542756056, 0.049594681249887106, -0.05086449818086943, -0.2509126827741663, 0.33641943425154464, 0.0775986007739982, 0.2296465187673531, 0.06696833385568526, 0.07182669550520442, 0.0022939611873072055, -0.022489922763299315, 0.07435711564880515, -0.10939448860817864, 0.06609832583409217, 0.2107498757725966, 0.1526825860741415, 0.2615703730807004, -0.4356509675863125, -0.2602371640636453, 0.08217142548205124, 0.12410822206745958, 0.167823915029802, -0.022754491507334426, -0.2662500135789049, 0.08283995003148448, -0.18508624545638525, -0.18598390614248014, -0.11111434910535103, 0.02308126794274098, -0.023715354983569196, -0.22106971341510495, 0.06285240560296983, 0.09176058370605229, -0.007825282134916282, -0.07415992928491462, -0.07519951287291146, 0.039886432348765315, 0.085052307096443, 0.12472172761068029, 0.08405732109566175, 0.11901365676599127, -0.11587507836520672, -0.07277588272330514, 0.4492898250205649, -0.06895394660421603, -0.2525555904038132, 0.1661683004645128, -0.1648500667439611, -0.1705612666250783, 0.11002130289414218, 0.14420934899577073, 0.09517382324806281, -0.15894829512930417, 0.11682514066111281, -0.03001880590500872, 0.1418553568895847, 0.08082248249723177, 0.03659670473129991, 0.25326351421545185, 0.0727231001411195, 0.04921860853117698, 0.06349305765488969, 0.006961784002164172, -0.11827293382855945, -0.35487869859392207, -0.14146397027763583, -0.17239505803168176, 0.05379246094918695, -0.10010459268567733, -0.13413015850228333, 0.3388568404599995, 0.19770900694106425, 0.12408528414865334, 0.03309921252851685, 0.2536374157948774, 0.09239679111661167, 0.10516205701112215, 0.07880717980128432, 0.33688017363255357, 0.11913387545768822, 0.09496098155126212, -0.1899150964260722, 0.03087615803445852, 0.04921700510876401] |
710.4446 | Comment on the history of the stretched exponential function | The original article of Rudolf Kohlrausch (1854) on stretched exponentials
and their application to describe relaxation phenomena has been often misquoted
in the literature after its rediscovery around 1984. We discuss here this fact
and attempt to set the record straight.
| physics.hist-ph | the original article of rudolf kohlrausch 1854 on stretched exponentials and their application to describe relaxation phenomena has been often misquoted in the literature after its rediscovery around 1984 we discuss here this fact and attempt to set the record straight | [['the', 'original', 'article', 'of', 'rudolf', 'kohlrausch', '1854', 'on', 'stretched', 'exponentials', 'and', 'their', 'application', 'to', 'describe', 'relaxation', 'phenomena', 'has', 'been', 'often', 'misquoted', 'in', 'the', 'literature', 'after', 'its', 'rediscovery', 'around', '1984', 'we', 'discuss', 'here', 'this', 'fact', 'and', 'attempt', 'to', 'set', 'the', 'record', 'straight']] | [-0.04927197988145053, 0.04472068473696709, -0.129938605154166, 0.047380505022010765, -0.09085216242820024, -0.06355241348501295, 0.05315944822505116, 0.3724410191643983, -0.2688626187853515, -0.2969627087237313, 0.1796813217777526, -0.2811385650886223, -0.15269067231565714, 0.16924219061620532, -0.14251347937388345, 0.05296695299766725, -0.020754172746092082, 0.03449787144490983, -0.045768060442060235, -0.2700207292567939, 0.22897077878005803, 0.08063690573908389, 0.2607915988832247, 0.04754596697166562, 0.07121819416061044, -0.022397518425714226, -0.053576043457724154, -0.011286781859234906, -0.19265774135710673, 0.11601303722854936, 0.19127951752161607, 0.1336787230160553, 0.2791732460260391, -0.4473329266533256, -0.14237596052698792, 0.07907286337576806, 0.17516094867605717, 0.11954181073233486, 0.015358936760458164, -0.2496396003756672, 0.04416726917261258, -0.15791637022048235, -0.18088728425791487, -0.053535632858984175, 0.12067793684545905, -0.005994248914066702, -0.11142383460246492, 0.07566290320828557, 0.09844734803773462, 0.06221152648795396, -0.015180957972188481, -0.11261541571002454, 0.07904064603499136, 0.07717408719472588, 0.12690954296849669, 0.03672511406475678, 0.11482227010419592, -0.04142669704160653, -0.1282211080833804, 0.3334721335209906, -0.007382402336224914, -0.0721069329418242, 0.21609219290548937, -0.13108130907639862, -0.1556313371685974, 0.08148359971237369, 0.13853428240399807, 0.08312341186829145, -0.19552604225464165, 0.11769118278461974, -0.0714570377545897, 0.07856829499869492, 0.13293194961152038, 0.02020960967056453, 0.18715043748379684, 0.1326695111391018, -0.05624560610158369, 0.12950010671047493, -0.0490944312827196, -0.12247142269043251, -0.26301050126203335, -0.17441725182579831, -0.16357611535931937, 0.10336115213576705, 0.0444317543420766, -0.17023919061757625, 0.40934023465961217, 0.1528874460142106, 0.1961942408233881, 0.032551588187925515, 0.23926622975850478, 0.08372012667568925, 0.020817702134081628, 0.05420854559051804, 0.25806472543627024, 0.11771565970266237, 0.1762910677585751, -0.1566227773902938, 0.08163024556124583, 0.057679503108374774] |
710.4447 | X-ray and optical followup of gamma-ray (up to TeV) sources | The imaging capabilities of the INTEGRAL and HESS observatories allow the
study of hard X-ray and TeV sources with unprecedented positional accuracy.
Here I review the multiwavelength followup studies which are currently being
performed on the unidentified sources detected by these facilities in order to
unveil their actual nature.
| astro-ph | the imaging capabilities of the integral and hess observatories allow the study of hard xray and tev sources with unprecedented positional accuracy here i review the multiwavelength followup studies which are currently being performed on the unidentified sources detected by these facilities in order to unveil their actual nature | [['the', 'imaging', 'capabilities', 'of', 'the', 'integral', 'and', 'hess', 'observatories', 'allow', 'the', 'study', 'of', 'hard', 'xray', 'and', 'tev', 'sources', 'with', 'unprecedented', 'positional', 'accuracy', 'here', 'i', 'review', 'the', 'multiwavelength', 'followup', 'studies', 'which', 'are', 'currently', 'being', 'performed', 'on', 'the', 'unidentified', 'sources', 'detected', 'by', 'these', 'facilities', 'in', 'order', 'to', 'unveil', 'their', 'actual', 'nature']] | [-0.08270338637640282, 0.08660515038087507, -0.032350433933339556, 0.11265154658075498, -0.1506137181909717, -0.06270471340691557, 0.06582592199651563, 0.48164420628121923, -0.17971958093611257, -0.4230077199789943, 0.15246513195820532, -0.3778540899558943, -0.03387153912715766, 0.20175370342117183, 0.05469703948129995, 0.044298192391134035, 0.13767795097462984, -0.0797290882827448, 0.006992331715490745, -0.25491983757107234, 0.22586293624504944, 0.17823711014827903, 0.18476317451354496, 0.03948564921049591, 0.08938458339520255, -0.023333920536524787, -0.17253946255517136, -0.052869520501746814, -0.12672759479919107, 0.13970297179660018, 0.30875774119429444, 0.12607065598689476, 0.19112447694856294, -0.3867688714241495, -0.2215675284933983, 0.07766356212752205, 0.12699616360430588, -0.06193960271062976, -0.008086904301308095, -0.38246417231857777, 0.023665449239921813, -0.1509558840901876, -0.22788979535998435, -0.056935764963225444, -0.040364187172785095, 0.11588605033822966, -0.11019659393980187, 0.043155022877819686, -0.06619115823841824, 0.11665319145790168, -0.15262145951226336, -0.08606990917148638, 0.06571322364960702, 0.10528055392205715, 0.04596673517383407, 0.03411474410083373, 0.04623840780624626, -0.1983239048407698, -0.1899917982518673, 0.3478525591710088, 0.06318831364196555, -0.020530951247379487, 0.24961064086884868, -0.22638932133701686, -0.2438889877319488, 0.17755322200151122, 0.16881388098913797, 0.11909125007841052, -0.21663381980389965, 0.0405719945639638, 0.04201416724494526, 0.22707318485362873, -0.008231516765924742, 0.1556800892766641, 0.2798690646506694, 0.15140636814805697, 0.012835291100247783, 0.13400400746423674, -0.2693298598323778, 0.006130876280937572, -0.3009288372776034, -0.06658886040427855, -0.1595806618867328, 0.10284011678922238, -0.0053925516305976, -0.059033930955017556, 0.36935890466925136, 0.20288143354487054, 0.11011230542647596, -0.055820865041044145, 0.3290955178933788, 0.021483101064757426, 0.07625415198961083, 0.028531660192779133, 0.3597350578222956, 0.05032338700447308, 0.13707111161012125, -0.19023076870611735, 0.056086687770273, -0.0389951672975202] |
710.4448 | Spitzer-IRS high resolution spectroscopy of the 12\mu m Seyfert
galaxies: I. First results | The first high resolution Spitzer IRS 9-37um spectra of 29 Seyfert galaxies
(about one quarter) of the 12um Active Galaxy Sample are presented and
discussed. The high resolution spectroscopy was obtained with corresponding
off-source observations. This allows excellent background subtraction, so that
the continuum levels and strengths of weak emission lines are accurately
measured. The result is several new combinations of emission line ratios,
line/continuum and continuum/continuum ratios that turn out to be effective
diagnostics of the strength of the AGN component in the IR emission of these
galaxies. The line ratios [NeV]/[NeII], [OIV]/[NeII], already known, but also
[NeIII]/[NeII] and [NeV]/[SiII] can all be effectively used to measure the
dominance of the AGN. We extend the analysis, already done using the 6.2um PAH
emission feature, to the equivalent width of the 11.25um PAH feature, which
also anti-correlates with the dominance of the AGN. We measure that the 11.25um
PAH feature has a constant ratio with the H_2 S(1) irrespective of Seyfert
type, approximately 10 to 1. Using the ratio of accurate flux measurements at
about 19um with the two spectrometer channels, having aperture areas differing
by a factor 4, we measured the source extendness and correlated it with the
emission line and PAH feature equivalent widths. The extendness of the source
gives another measure of the AGN dominance and correlates both with the EWs of
[NeII] and PAH emission. Using the rotational transitions of H$_2$ we were able
to estimate temperatures (200-300K) and masses (1-10 x 10^6 M_sun), or
significant limits on them, for the warm molecular component in the galaxies
observed.
| astro-ph | the first high resolution spitzer irs 937um spectra of 29 seyfert galaxies about one quarter of the 12um active galaxy sample are presented and discussed the high resolution spectroscopy was obtained with corresponding offsource observations this allows excellent background subtraction so that the continuum levels and strengths of weak emission lines are accurately measured the result is several new combinations of emission line ratios linecontinuum and continuumcontinuum ratios that turn out to be effective diagnostics of the strength of the agn component in the ir emission of these galaxies the line ratios nevneii oivneii already known but also neiiineii and nevsiii can all be effectively used to measure the dominance of the agn we extend the analysis already done using the 62um pah emission feature to the equivalent width of the 1125um pah feature which also anticorrelates with the dominance of the agn we measure that the 1125um pah feature has a constant ratio with the h_2 s1 irrespective of seyfert type approximately 10 to 1 using the ratio of accurate flux measurements at about 19um with the two spectrometer channels having aperture areas differing by a factor 4 we measured the source extendness and correlated it with the emission line and pah feature equivalent widths the extendness of the source gives another measure of the agn dominance and correlates both with the ews of neii and pah emission using the rotational transitions of h_2 we were able to estimate temperatures 200300k and masses 110 x 106 m_sun or significant limits on them for the warm molecular component in the galaxies observed | [['the', 'first', 'high', 'resolution', 'spitzer', 'irs', '937um', 'spectra', 'of', '29', 'seyfert', 'galaxies', 'about', 'one', 'quarter', 'of', 'the', '12um', 'active', 'galaxy', 'sample', 'are', 'presented', 'and', 'discussed', 'the', 'high', 'resolution', 'spectroscopy', 'was', 'obtained', 'with', 'corresponding', 'offsource', 'observations', 'this', 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'molecular', 'component', 'in', 'the', 'galaxies', 'observed']] | [-0.026322035776142595, 0.06691298236241998, -0.01681204584053566, 0.1009311229728303, -0.016590646912105555, -0.11620529364368538, 0.04034227590065796, 0.48706636626937594, -0.14379329013082293, -0.3333287988897673, 0.0436712599372087, -0.2996211373771188, 0.009340837958599116, 0.137919562219014, 0.01701531303115189, -0.015720593253901415, -0.009091702079158565, -0.1087461595340946, -0.017361679223597107, -0.2265614960739721, 0.291241458564809, 0.1099057077982259, 0.23006396613204708, 0.05521577974878858, 0.07917588312438754, -0.1063554500890246, -0.09136772705801553, -0.004187127714254713, -0.11501162379477313, 0.11055953087476479, 0.24876775179155777, 0.12326501517856896, 0.15573293300591004, -0.287310208299854, -0.1816511277268215, 0.09165796820054466, 0.1722097263180528, 0.01991292662411394, 0.02056130620086017, -0.27429691935499567, 0.05572557764158534, -0.1268456887111768, -0.13333793849027317, 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710.4449 | Characterization of researchers in condensed matter physics using simple
quantity based on h-index | Analysis of citation records of 52 active and productive condensed matter
physicists shows that the ratio of h-index to the mean age of h most highly
cited publications is a reliable quantity that allows meaningful comparison of
scientists of different age.
| physics.soc-ph | analysis of citation records of 52 active and productive condensed matter physicists shows that the ratio of hindex to the mean age of h most highly cited publications is a reliable quantity that allows meaningful comparison of scientists of different age | [['analysis', 'of', 'citation', 'records', 'of', '52', 'active', 'and', 'productive', 'condensed', 'matter', 'physicists', 'shows', 'that', 'the', 'ratio', 'of', 'hindex', 'to', 'the', 'mean', 'age', 'of', 'h', 'most', 'highly', 'cited', 'publications', 'is', 'a', 'reliable', 'quantity', 'that', 'allows', 'meaningful', 'comparison', 'of', 'scientists', 'of', 'different', 'age']] | [-0.0678056214386654, 0.15714999597247054, -0.1182505510542996, 0.13610143129566185, -0.14363627923970543, -0.12155870917230481, 0.10100449757968508, 0.35871061664528964, -0.1240492463935303, -0.43667676545134404, -0.02160075238746841, -0.3378603397928911, -0.06608143156939526, 0.20644353997961776, -0.10516166866461678, 0.00017237825966553717, 0.0919600019640312, 0.09434137143558119, 0.01672588364879896, -0.2806076644351933, 0.21952166517333285, 0.11181554777502287, 0.31648048458666334, 0.0394707917116537, -7.803106635082059e-05, -0.06460729107209595, -0.19717537929735532, 0.04476791433990002, -0.1442126538962972, 0.20810212474316359, 0.34235136538017086, 0.2300204330510119, 0.3678126631350052, -0.29185796197412944, -0.17023771562863413, 0.07428008890370043, 0.1598151004986792, 0.0022067598453382165, -0.02067172061651945, -0.25608960966148026, 0.018689690984035955, -0.22019260185884265, -0.07494349812339174, -0.022569834504549097, 0.17596526189548214, -0.015545501896157497, -0.18024304728932317, 0.19027987853538744, -0.04804176632769224, 0.15710235659669086, -0.02495223562738563, -0.2204109605220033, -0.00496470537490961, 0.20456438458229348, 0.12086743876769594, 0.011584669533299237, 0.20482276357346918, -0.17217622056785153, -0.07026247407605009, 0.3776089440486053, -0.03821329466172312, -0.06032778568020681, 0.18342977907599473, -0.1582635579085568, -0.1564454314321643, 0.09043797914211343, 0.15635975338972924, 0.09131949129173668, -0.15766463426464214, -0.020191940593976165, -0.08103553948515071, 0.24756566117086062, 0.03796722642259627, -0.006730421378118236, 0.20956989586716745, 0.1428882185733173, 0.027810338526827898, 0.03692624088740203, -0.0520822376739688, -0.11168351773990363, -0.21328927522025456, -0.22015388643868813, -0.16691025160536987, 0.06256346536584471, -0.1296697651236971, -0.21973908923157467, 0.4535130528596843, 0.16141869463935132, 0.09796215219298242, -0.045789724215865135, 0.22288000311066464, 0.015960952948506284, 0.058359231845271295, 0.07316312991173529, 0.22203365627040222, 0.18420035673714266, 0.1489375430818011, -0.10034686768790935, 0.13077006248257508, -0.019594396742787665] |
710.445 | HST/WFPC2 imaging of the circumnuclear structure of LLAGNs. I Data and
nuclear morphology | To advance our knowledge of the nature of the central source in LLAGNs and
its relation with stellar clusters, we are carrying out several imaging
projects with HST at near-UV, optical and near-IR wavelengths. In this paper,
we present the first results obtained with observations of the central regions
of 57 LLAGNs imaged with the WFPC2 through any of the V (F555W, F547M, F614W)
and I (F791W, F814W) filters that are available in the HST archive. The sample
contains 34% of the LINERs and 36% of the TOs in the Palomar sample. The mean
spatial resolution of these images is 10 pc. With these data we have built an
atlas that includes structural maps for all the galaxies, useful to identify
compact nuclear sources and, additionally, to characterize the circumnuclear
environment of LLAGNs, determining the frequency of dust and its morphology.
The main results obtained are: 1) We have not found any correlation between the
presence of nuclear compact sources and emission-line type. Thus, nucleated
LINERs are as frequent as nucleated TOs. 2) The nuclei of "Young-TOs" are
brighter than the nuclei of "Old-TOs" and LINERs. These results confirm our
previous results that Young-TOs are separated from other LLAGNs classes in
terms of their central stellar population properties and brightness. 3)
Circumnuclear dust is detected in 88% of the LLAGNs, being almost ubiquitous in
TOs. 4) The dust morphology is complex and varied, from nuclear spiral lanes to
chaotic filaments and nuclear disk-like structures. Chaotic filaments are as
frequent as dust spirals; but nuclear disks are mainly seen in LINERs. These
results suggest an evolutionary sequence of the dust in LLAGNs, LINERs being
the more evolved systems and Young-TOs the youngest. The full collection of
figures are at http://www.iaa.es/~rosa/research/LLAGNs2007/LLAGNs-HSTIma1.html
| astro-ph | to advance our knowledge of the nature of the central source in llagns and its relation with stellar clusters we are carrying out several imaging projects with hst at nearuv optical and nearir wavelengths in this paper we present the first results obtained with observations of the central regions of 57 llagns imaged with the wfpc2 through any of the v f555w f547m f614w and i f791w f814w filters that are available in the hst archive the sample contains 34 of the liners and 36 of the tos in the palomar sample the mean spatial resolution of these images is 10 pc with these data we have built an atlas that includes structural maps for all the galaxies useful to identify compact nuclear sources and additionally to characterize the circumnuclear environment of llagns determining the frequency of dust and its morphology the main results obtained are 1 we have not found any correlation between the presence of nuclear compact sources and emissionline type thus nucleated liners are as frequent as nucleated tos 2 the nuclei of youngtos are brighter than the nuclei of oldtos and liners these results confirm our previous results that youngtos are separated from other llagns classes in terms of their central stellar population properties and brightness 3 circumnuclear dust is detected in 88 of the llagns being almost ubiquitous in tos 4 the dust morphology is complex and varied from nuclear spiral lanes to chaotic filaments and nuclear disklike structures chaotic filaments are as frequent as dust spirals but nuclear disks are mainly seen in liners these results suggest an evolutionary sequence of the dust in llagns liners being the more evolved systems and youngtos the youngest the full collection of figures are at httpwwwiaaesrosaresearchllagns2007llagnshstima1html | [['to', 'advance', 'our', 'knowledge', 'of', 'the', 'nature', 'of', 'the', 'central', 'source', 'in', 'llagns', 'and', 'its', 'relation', 'with', 'stellar', 'clusters', 'we', 'are', 'carrying', 'out', 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710.4451 | Measurements of e+e- -> K+K-eta, K+K-pi0 and KsK+pi- Cross Sections
Using Initial State Radiation Events | This paper reports measurements of processes: e+e- -> gamma KsK+pi-, e+e- ->
gamma K+K-pi0, e+e- -> gamma phi eta, and e+e- -> gamma phi pi0. The initial
state radiated photon allows to cover the hadronic final state in the energy
range from thresholds up to ~4.6 GeV. The overall size of the data sample
analyzed is 232 fb-1, collected by the BaBar detector running at the PEP-II
e+e- storage ring. From the Dalitz plot analysis of the KsK+pi- final state,
moduli and relative phase of the isoscalar and the isovector components of the
e+e- -> K K*(892) cross section are determined. Parameters of phi and rho
recurrences are also measured, using a global fitting procedure which exploits
the interconnection among amplitudes, moduli and phases of the e+e- -> KsK+pi-,
K+K-pi0, phi eta final states. The cross section for the OZI-forbidden process
e+e- -> phi pi0, and the J/psi branching fractions to KK*(892) and K+K-eta are
also measured.
| hep-ex | this paper reports measurements of processes ee gamma kskpi ee gamma kkpi0 ee gamma phi eta and ee gamma phi pi0 the initial state radiated photon allows to cover the hadronic final state in the energy range from thresholds up to 46 gev the overall size of the data sample analyzed is 232 fb1 collected by the babar detector running at the pepii ee storage ring from the dalitz plot analysis of the kskpi final state moduli and relative phase of the isoscalar and the isovector components of the ee k k892 cross section are determined parameters of phi and rho recurrences are also measured using a global fitting procedure which exploits the interconnection among amplitudes moduli and phases of the ee kskpi kkpi0 phi eta final states the cross section for the oziforbidden process ee phi pi0 and the jpsi branching fractions to kk892 and kketa are also measured | [['this', 'paper', 'reports', 'measurements', 'of', 'processes', 'ee', 'gamma', 'kskpi', 'ee', 'gamma', 'kkpi0', 'ee', 'gamma', 'phi', 'eta', 'and', 'ee', 'gamma', 'phi', 'pi0', 'the', 'initial', 'state', 'radiated', 'photon', 'allows', 'to', 'cover', 'the', 'hadronic', 'final', 'state', 'in', 'the', 'energy', 'range', 'from', 'thresholds', 'up', 'to', '46', 'gev', 'the', 'overall', 'size', 'of', 'the', 'data', 'sample', 'analyzed', 'is', '232', 'fb1', 'collected', 'by', 'the', 'babar', 'detector', 'running', 'at', 'the', 'pepii', 'ee', 'storage', 'ring', 'from', 'the', 'dalitz', 'plot', 'analysis', 'of', 'the', 'kskpi', 'final', 'state', 'moduli', 'and', 'relative', 'phase', 'of', 'the', 'isoscalar', 'and', 'the', 'isovector', 'components', 'of', 'the', 'ee', 'k', 'k892', 'cross', 'section', 'are', 'determined', 'parameters', 'of', 'phi', 'and', 'rho', 'recurrences', 'are', 'also', 'measured', 'using', 'a', 'global', 'fitting', 'procedure', 'which', 'exploits', 'the', 'interconnection', 'among', 'amplitudes', 'moduli', 'and', 'phases', 'of', 'the', 'ee', 'kskpi', 'kkpi0', 'phi', 'eta', 'final', 'states', 'the', 'cross', 'section', 'for', 'the', 'oziforbidden', 'process', 'ee', 'phi', 'pi0', 'and', 'the', 'jpsi', 'branching', 'fractions', 'to', 'kk892', 'and', 'kketa', 'are', 'also', 'measured']] | [-0.12251113430673456, 0.1908993468363613, -0.13439878472595806, 0.0654816765658349, -0.005785267081286683, -0.10015535155536244, 0.09524037850616462, 0.29055369842872525, -0.21468020046767372, -0.2502088262168253, -0.07923414138842674, -0.40489830412511674, 0.055777538634974186, 0.16457243032609706, 0.141445886387471, 0.1553558509221813, 0.13293435273304482, 0.047356940183988554, -0.04535020101540441, -0.1882603732906532, 0.25966415052214675, 0.08785564216766381, 0.24769317032456797, 0.0897032539704002, 0.006575823362272908, 0.050626608913439335, -0.06741568148323654, -0.11008068813861116, -0.17742618832474688, 0.03525728436816646, 0.28025147764968544, 0.12426198071537652, 0.037670443478296664, -0.2710938688752694, 0.011607079460416864, 0.22862291883602237, 0.13924348592170632, -0.05118907283329024, 0.05477385977189363, -0.37146899229909397, 0.13223263588827727, -0.2070252190362787, -0.03389443489160364, -0.03725434549702894, 0.07500537303620136, -0.038631465454779614, -0.32974135231901736, 0.08019716290705493, -0.0715529751217664, 0.031288085603811494, -0.05874356632191225, -0.2587495874426009, -0.06196530436746926, -0.014177335866870696, 0.07132250245409742, 0.09881958288871902, 0.2390935299386764, -0.13225282836571062, -0.13317345292151175, 0.3293526260379152, -0.009182683792240267, -0.11762709437221783, 0.09524897037186479, -0.20289617592022338, -0.08867185263450714, 0.24193969810531543, 0.2590719233610786, 0.027056176982657523, -0.19595717378085692, 0.1629743279499352, 0.026184867973745668, 0.18646524675134193, 0.10973810160457588, 0.06367997180251717, 0.10783023167176535, 0.14862454812442447, -0.034954048080485856, 0.11445932607021926, -0.1409989842311354, -0.036697184754498055, -0.43545872645824524, -0.13867647145818543, -0.044261569785416725, 0.09164704555479947, -0.05890079696388093, -0.0239920017118847, 0.3581924991238387, -0.04616004178314564, 0.3428665628256714, 0.01685863007375683, 0.3020158490078561, 0.11931951673648276, -0.012419410939047101, 0.10446698671744374, 0.29349968893040945, 0.18269662011646035, 0.1609751357190661, -0.29386444787976124, 0.02739267322178555, -0.017314970719896808] |
710.4452 | f0(1370) | A summary is given of the main sets of data requiring the existence of
f0(1370). Crystal Barrel data on pbar-p -> eta eta pizero contain a visible
f0(1370) peak and require at least a 19 standard deviation contribution. This
alone is sufficient to demonstrate its existence. More extensive data on pbar-p
-> 3pizero at rest contain delicate interferences which determine the mass and
width independently in 1S_0 and 3P_1 annihilation and agree within 5 MeV for
both mass and width. The peak in 2pi is at 1282 +- 5 MeV, but the rapid
increase in 4pi phase space with mass displaces the 4pi peak to 1360 MeV. BES
II data for J/Psi -> phi-pi-\pi contain a visible f0(1370) -> 2pi signal >8
sigma. In all cases, a resonant phase variation is required.
| hep-ex | a summary is given of the main sets of data requiring the existence of f01370 crystal barrel data on pbarp eta eta pizero contain a visible f01370 peak and require at least a 19 standard deviation contribution this alone is sufficient to demonstrate its existence more extensive data on pbarp 3pizero at rest contain delicate interferences which determine the mass and width independently in 1s_0 and 3p_1 annihilation and agree within 5 mev for both mass and width the peak in 2pi is at 1282 5 mev but the rapid increase in 4pi phase space with mass displaces the 4pi peak to 1360 mev bes ii data for jpsi phipipi contain a visible f01370 2pi signal 8 sigma in all cases a resonant phase variation is required | [['a', 'summary', 'is', 'given', 'of', 'the', 'main', 'sets', 'of', 'data', 'requiring', 'the', 'existence', 'of', 'f01370', 'crystal', 'barrel', 'data', 'on', 'pbarp', 'eta', 'eta', 'pizero', 'contain', 'a', 'visible', 'f01370', 'peak', 'and', 'require', 'at', 'least', 'a', '19', 'standard', 'deviation', 'contribution', 'this', 'alone', 'is', 'sufficient', 'to', 'demonstrate', 'its', 'existence', 'more', 'extensive', 'data', 'on', 'pbarp', '3pizero', 'at', 'rest', 'contain', 'delicate', 'interferences', 'which', 'determine', 'the', 'mass', 'and', 'width', 'independently', 'in', '1s_0', 'and', '3p_1', 'annihilation', 'and', 'agree', 'within', '5', 'mev', 'for', 'both', 'mass', 'and', 'width', 'the', 'peak', 'in', '2pi', 'is', 'at', '1282', '5', 'mev', 'but', 'the', 'rapid', 'increase', 'in', '4pi', 'phase', 'space', 'with', 'mass', 'displaces', 'the', '4pi', 'peak', 'to', '1360', 'mev', 'bes', 'ii', 'data', 'for', 'jpsi', 'phipipi', 'contain', 'a', 'visible', 'f01370', '2pi', 'signal', '8', 'sigma', 'in', 'all', 'cases', 'a', 'resonant', 'phase', 'variation', 'is', 'required']] | [-0.11335909088585877, 0.2001909640728584, -0.052520158242316935, 0.09655901015915827, -0.042588002361700045, -0.1302300219657358, 0.07310685329505895, 0.3510199851965106, -0.1442170784383367, -0.32248235087269755, 0.022326652194358643, -0.36967579469700734, 0.049792003803189815, 0.16564538702368736, 0.02926562168987424, 0.021743332765039466, 0.12216945669401115, 0.06333911609670925, -0.05785263350094104, -0.1554932790156637, 0.25975064528504693, 0.007775230773203955, 0.22817734403601722, 0.1223855001015926, 0.02356530933761896, 0.016994960870095124, -0.012952378564184224, -0.11984842787344638, -0.160758305685668, -0.0040962438861744145, 0.23810653015971184, 0.0794326904061155, 0.15229206825249028, -0.3006355406672466, -0.07984644727777748, 0.1384478949237703, 0.14543265703420236, 0.028929803943019507, -0.015505709092881655, -0.2841695201561207, 0.13188472085111724, -0.11022520943647471, -0.12762376112042098, 0.00027390580448344, 0.04461625056326624, -0.06307159484488757, -0.3038460401951988, 0.14553948477603584, -0.03326591978942257, 0.08340603315572101, -0.043639802695691995, -0.2015835694330708, -0.05446393822693801, 0.018492010653048285, 0.032932235272216254, 0.11913502830132021, 0.1495428743486212, -0.09194419567297235, -0.07855354693872253, 0.3625819460483356, -0.04666632901891831, -0.11107478508593764, 0.11968557822598716, -0.19919043773873232, -0.11402042712796275, 0.29404411200199304, 0.1365205971079541, 0.03519555687992357, -0.1353665250316849, 0.06315620336223277, -0.0047597376263964425, 0.26493587025155235, 0.1505235744856562, 0.0806510122419577, 0.17828176009989394, 0.1856463294930932, 0.011310950734681911, 0.02879534257707868, -0.16762251571539466, -0.01548209129539355, -0.3766283275940874, -0.09202343115847059, -0.10469152218218541, 0.061119529510312895, -0.041468184165758315, -0.08987557360037106, 0.35086508131564015, 0.03175782099160857, 0.26628838907047286, 0.011526127885770433, 0.27353368005825307, 0.08231306874365582, 0.08493240629359493, 0.08368744388017363, 0.3019033199777519, 0.15327526118576995, 0.17723708596139207, -0.22927746912977826, -0.006497825327004841, -0.044165457384825836] |
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