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709.2035 | Coexistence of hexatic and isotropic phases in two-dimensional Yukawa
systems | We have performed Brownian dynamics simulations on melting of two-dimensional
colloidal crystal in which particles interact with Yukawa potential. The pair
correlation function and bond-orientational correlation function was calculated
in the Yukawa system. An algebraic decay of the bond orientational correlation
function was observed. By ruling out the coexistence region, only a unstable
hexatic phase was found in the Yukawa systems. But our work shows that the
melting of the Yukawa systems is a two-stage melting not consist with the KTHNY
theory and the isotropic liquid and the hexatic phase coexistence region was
found. Also we have studied point defects in two-dimensional Yukawa systems.
| cond-mat.soft cond-mat.stat-mech | we have performed brownian dynamics simulations on melting of twodimensional colloidal crystal in which particles interact with yukawa potential the pair correlation function and bondorientational correlation function was calculated in the yukawa system an algebraic decay of the bond orientational correlation function was observed by ruling out the coexistence region only a unstable hexatic phase was found in the yukawa systems but our work shows that the melting of the yukawa systems is a twostage melting not consist with the kthny theory and the isotropic liquid and the hexatic phase coexistence region was found also we have studied point defects in twodimensional yukawa systems | [['we', 'have', 'performed', 'brownian', 'dynamics', 'simulations', 'on', 'melting', 'of', 'twodimensional', 'colloidal', 'crystal', 'in', 'which', 'particles', 'interact', 'with', 'yukawa', 'potential', 'the', 'pair', 'correlation', 'function', 'and', 'bondorientational', 'correlation', 'function', 'was', 'calculated', 'in', 'the', 'yukawa', 'system', 'an', 'algebraic', 'decay', 'of', 'the', 'bond', 'orientational', 'correlation', 'function', 'was', 'observed', 'by', 'ruling', 'out', 'the', 'coexistence', 'region', 'only', 'a', 'unstable', 'hexatic', 'phase', 'was', 'found', 'in', 'the', 'yukawa', 'systems', 'but', 'our', 'work', 'shows', 'that', 'the', 'melting', 'of', 'the', 'yukawa', 'systems', 'is', 'a', 'twostage', 'melting', 'not', 'consist', 'with', 'the', 'kthny', 'theory', 'and', 'the', 'isotropic', 'liquid', 'and', 'the', 'hexatic', 'phase', 'coexistence', 'region', 'was', 'found', 'also', 'we', 'have', 'studied', 'point', 'defects', 'in', 'twodimensional', 'yukawa', 'systems']] | [-0.16711680003880666, 0.2052709583626543, -0.12048793567093806, 0.05328416031933067, 0.03563300826667378, -0.15357682260219008, 0.03157909866758228, 0.37403553224598557, -0.21484737428209671, -0.2587952316344644, 0.0042516987999148955, -0.334917090264543, -0.17081633967777285, 0.0646882895559359, 0.10249218433734943, 0.07222664623539178, -0.031656866803622015, -0.029031304537336558, -0.1079135610019036, -0.2480308809496749, 0.27706265916752343, 0.032074781224274866, 0.2706914762966335, 0.08181834703562064, 0.04630803988010694, -0.02349231009093973, 0.06630219051686044, 0.013575591872302959, -0.17931159291352883, -0.028439440052562322, 0.18496176698066008, -0.07365733361355244, 0.15700074235120645, -0.3918737854199627, -0.2635634167639252, 0.09387114136300695, 0.16727700560855177, 0.0843295312247042, -0.06034673060667746, -0.28851560196310927, 0.020787926140026405, -0.1629490010155468, -0.16341654951415527, -0.07772633830049577, -0.012025456374081282, 0.01968591163677047, -0.269022435169273, 0.13333625247665062, 0.010959620990503866, 0.08333159350933364, -0.06879313064676423, -0.08387606899039103, -0.07209438618156128, 0.0593491027348836, 0.06789688844135246, 0.041995389225821085, 0.18675936501285134, -0.11726579593064693, -0.09981875720964475, 0.40540305234921664, -0.03638274365668902, -0.161573957629466, 0.21398128747554998, -0.20051577379210636, -0.104767728511853, 0.24341771808058882, 0.13254495986788803, 0.07507031386753973, -0.15370962698943913, 0.08120892069116682, -0.03664419457065658, 0.21930699608688323, 0.052564753264260404, -0.051560192149526514, 0.27958244756938744, 0.2249554710355229, -0.002634253617053708, 0.16284260928380087, -0.08516292928386694, -0.18616828601807356, -0.24737852389136186, -0.15152762597874522, -0.20167392184465335, -0.022123910032090723, -0.09005295113134847, -0.19561959829521725, 0.3448769182992132, 0.08404684114234093, 0.1577141739320583, 0.0003490891282966074, 0.17327089054295078, 0.06991634418171508, 0.073182905932369, -0.015365152794402093, 0.3238811122540098, 0.13733892164264733, 0.15040473409597047, -0.24048438812426937, 0.07986575288948818, 0.09526947886199476] |
709.2036 | Construction of covers in positive characteristic via degeneration | In this note we construct examples of covers of the projective line in
positive characteristic such that every specialization is inseparable. The
result illustrates that it is not possible to construct all covers of the
generic r-pointed curve of genus zero inductively from covers with a smaller
number of branch points.
| math.AG | in this note we construct examples of covers of the projective line in positive characteristic such that every specialization is inseparable the result illustrates that it is not possible to construct all covers of the generic rpointed curve of genus zero inductively from covers with a smaller number of branch points | [['in', 'this', 'note', 'we', 'construct', 'examples', 'of', 'covers', 'of', 'the', 'projective', 'line', 'in', 'positive', 'characteristic', 'such', 'that', 'every', 'specialization', 'is', 'inseparable', 'the', 'result', 'illustrates', 'that', 'it', 'is', 'not', 'possible', 'to', 'construct', 'all', 'covers', 'of', 'the', 'generic', 'rpointed', 'curve', 'of', 'genus', 'zero', 'inductively', 'from', 'covers', 'with', 'a', 'smaller', 'number', 'of', 'branch', 'points']] | [-0.17151955511420966, 0.0866165798343718, -0.09543082907795906, 0.025127919868100434, -0.06787632151972503, -0.13121235108934343, 0.01315736336633563, 0.3283543429337442, -0.2746593676914927, -0.22721232637763022, 0.053157466244883836, -0.2714043608866632, -0.16104687750339508, 0.30098594062030315, -0.14307473571039736, -0.06283110193908215, 0.03175337409134954, 0.09123589385300875, -0.04829998861183413, -0.3050354026257992, 0.41433108031749727, -0.08398617967963219, 0.1915066503547132, 0.0537193051725626, 0.12182346014305949, 0.01042753916233778, -0.02011670528911054, 0.04399273831397295, -0.13111822300736095, 0.10081749210134149, 0.3347897408157587, 0.16260514557361602, 0.18390471663326025, -0.2877582444314612, -0.17074456503381952, 0.2271134394686669, 0.1331491652317345, 0.11250163614749908, 0.028535433933138846, -0.125712586697191, 0.1305172959715128, -0.13146854937076569, -0.21952554024755955, -0.023582689370959996, 0.04841759492643177, 0.03332726485095918, -0.18487452649511396, -0.024305836725980044, 0.10497596265748144, 0.13961875705048443, 0.009069319646805525, -0.10854656129144132, -0.060584554485976695, 0.0946562916226685, 0.02911875725723803, 0.04404908943688497, 0.05505877027171664, -0.0772217011032626, -0.07057888282462954, 0.3379622615687549, -0.06934026770293712, -0.1602957996726036, 0.17259373471140863, -0.16560170451644807, -0.14083485757000744, 0.19578331608325242, 0.08443744282238186, 0.15536896854639054, -0.016042910628020764, 0.1361559962807223, -0.12242720484733581, 0.1556314116716385, 0.07703678326681257, -0.04121918501332402, 0.1833800385147333, 0.12620290503837167, 0.11697130372747779, 0.19417256876826286, -0.03268102442845702, -0.05949990908731707, -0.43161821462213995, -0.19886609021574259, -0.16716153744840995, 0.11917036068189191, -0.06052753489464521, -0.22763492796570062, 0.4591302975267172, 0.13477983264252544, 0.2475964947976172, 0.10032059174031019, 0.24811315760016442, 0.05834169525653124, 0.08300487710162997, 0.0650512514822185, 0.15775721365585924, 0.1409476811485365, -0.009876263663172721, -0.1231849767593667, -0.03019899217877537, 0.08533488581888378] |
709.2037 | Orbifolds versus smooth heterotic compactifications | Following the recent exploration of smooth heterotic compactifications with
unitary bundles, orbifold compactifications in six dimensions can be shown to
correspond in the blow-up to compactifications with U(1) gauge backgrounds. A
powerful tool is the comparison of anomaly polynomials. The presentation here
focuses on heterotic SO(32) compactifications in six dimensions including
five-branes. Four dimensional and E8 x E8 models are briefly commented on.
| hep-th | following the recent exploration of smooth heterotic compactifications with unitary bundles orbifold compactifications in six dimensions can be shown to correspond in the blowup to compactifications with u1 gauge backgrounds a powerful tool is the comparison of anomaly polynomials the presentation here focuses on heterotic so32 compactifications in six dimensions including fivebranes four dimensional and e8 x e8 models are briefly commented on | [['following', 'the', 'recent', 'exploration', 'of', 'smooth', 'heterotic', 'compactifications', 'with', 'unitary', 'bundles', 'orbifold', 'compactifications', 'in', 'six', 'dimensions', 'can', 'be', 'shown', 'to', 'correspond', 'in', 'the', 'blowup', 'to', 'compactifications', 'with', 'u1', 'gauge', 'backgrounds', 'a', 'powerful', 'tool', 'is', 'the', 'comparison', 'of', 'anomaly', 'polynomials', 'the', 'presentation', 'here', 'focuses', 'on', 'heterotic', 'so32', 'compactifications', 'in', 'six', 'dimensions', 'including', 'fivebranes', 'four', 'dimensional', 'and', 'e8', 'x', 'e8', 'models', 'are', 'briefly', 'commented', 'on']] | [-0.14070094781669062, 0.13471102938776658, -0.00983541098050034, 0.14000997954188654, -0.12516701150508153, -0.20831297919715916, -0.05578113220898168, 0.35877441699128776, -0.06993130168744496, -0.21672124912341437, 0.17526613678672306, -0.2798906963629027, -0.1664981370762227, 0.15861067314824415, -0.16325331242045477, -0.010395937939248388, -0.06668262120099767, 0.023103539225837542, -0.1695640470152573, -0.3982664816587838, 0.39713457138055847, -0.03765598079189658, 0.32978961403141654, 0.007297287591629558, 0.08692866307313717, -0.11298801218776683, -0.06861576771304484, -0.06327390310073656, -0.11507700974055167, 0.16703801935479518, 0.33050368043543477, 0.049814009935491614, -0.01849134946389804, -0.4558979637093014, -0.23369996716815328, 0.13093090228854665, 0.1941908313005808, 0.1036955840323889, 0.027566721600051674, -0.28501733104210525, 0.0001361330191323918, -0.139319915546193, -0.13723569832897434, -0.12038344606047585, 0.023584218518364997, -0.06321112485602498, -0.1882235197172988, -0.03253914991168246, -0.024107233488133976, 0.12888192224301517, -0.04418482991962856, -0.09199715881711906, -0.0777749785236896, -0.010380279694107316, 0.18756458152543812, 0.06548381916114263, 0.1135095109098724, -0.18728034215434622, -0.23302105027768347, 0.3594287253679737, -0.028159867735609176, -0.23447635577666381, 0.17415981358730248, -0.10219622466672537, -0.2737218791633726, 0.14400942907446906, 0.10309144866002339, 0.1909086250197438, -0.045307927528425815, 0.28576028287791394, -0.052508513749917114, 0.08418371328817946, 0.08179753325465652, 0.0017322954825229114, 0.27128874893034144, 0.20137174547250783, 0.03769616436006294, 0.0708159355812573, -0.02113181919539495, -0.1096739134352122, -0.4951021988831815, -0.10463472825312425, 0.005377970646978134, 0.25627458403034814, -0.11794936011655308, -0.13163019931599837, 0.40034006500527974, 0.042310149899484326, 0.19879156326697695, 0.022299863841562045, 0.12255862804632338, -0.014489753792683283, 0.040031373944310916, 0.015211820602416992, 0.1806410710546299, 0.18049802539485788, 0.024194797013132346, -0.17227395525985648, -0.2480121988282051, 0.2936236052552149] |
709.2038 | Nodal points and the transition from ordered to chaotic Bohmian
trajectories | We explore the transition from order to chaos for the Bohmian trajectories of
a simple quantum system corresponding to the superposition of three stationary
states in a 2D harmonic well with incommensurable frequencies. We study in
particular the role of nodal points in the transition to chaos. Our main
findings are: a) A proof of the existence of bounded domains in configuration
space which are devoid of nodal points, b) An analytical construction of formal
series representing regular orbits in the central domain as well as a numerical
investigation of its limits of applicability. c) A detailed exploration of the
phase-space structure near the nodal point. In this exploration we use an
adiabatic approximation and we draw the flow chart in a moving frame of
reference centered at the nodal point. We demonstrate the existence of a saddle
point (called X-point) in the vicinity of the nodal point which plays a key
role in the manifestation of exponential sensitivity of the orbits. One of the
invariant manifolds of the X-point continues as a spiral terminating at the
nodal point. We find cases of Hopf bifurcation at the nodal point and explore
the associated phase space structure of the nodal point - X-point complex. We
finally demonstrate the mechanism by which this complex generates chaos.
Numerical examples of this mechanism are given for particular chaotic orbits,
and a comparison is made with previous related works in the literature.
| quant-ph | we explore the transition from order to chaos for the bohmian trajectories of a simple quantum system corresponding to the superposition of three stationary states in a 2d harmonic well with incommensurable frequencies we study in particular the role of nodal points in the transition to chaos our main findings are a a proof of the existence of bounded domains in configuration space which are devoid of nodal points b an analytical construction of formal series representing regular orbits in the central domain as well as a numerical investigation of its limits of applicability c a detailed exploration of the phasespace structure near the nodal point in this exploration we use an adiabatic approximation and we draw the flow chart in a moving frame of reference centered at the nodal point we demonstrate the existence of a saddle point called xpoint in the vicinity of the nodal point which plays a key role in the manifestation of exponential sensitivity of the orbits one of the invariant manifolds of the xpoint continues as a spiral terminating at the nodal point we find cases of hopf bifurcation at the nodal point and explore the associated phase space structure of the nodal point xpoint complex we finally demonstrate the mechanism by which this complex generates chaos numerical examples of this mechanism are given for particular chaotic orbits and a comparison is made with previous related works in the literature | [['we', 'explore', 'the', 'transition', 'from', 'order', 'to', 'chaos', 'for', 'the', 'bohmian', 'trajectories', 'of', 'a', 'simple', 'quantum', 'system', 'corresponding', 'to', 'the', 'superposition', 'of', 'three', 'stationary', 'states', 'in', 'a', '2d', 'harmonic', 'well', 'with', 'incommensurable', 'frequencies', 'we', 'study', 'in', 'particular', 'the', 'role', 'of', 'nodal', 'points', 'in', 'the', 'transition', 'to', 'chaos', 'our', 'main', 'findings', 'are', 'a', 'a', 'proof', 'of', 'the', 'existence', 'of', 'bounded', 'domains', 'in', 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709.2039 | Geometrical embeddings for distributions into algebras of generalized
functions | We use spectral theory to produce embeddings of distributions in the algebras
of generalized functions on a closed Riemannian manifold. These embeddings are
invariant under isometries and preserve the singularity structure of the
distributions.
| math.AP | we use spectral theory to produce embeddings of distributions in the algebras of generalized functions on a closed riemannian manifold these embeddings are invariant under isometries and preserve the singularity structure of the distributions | [['we', 'use', 'spectral', 'theory', 'to', 'produce', 'embeddings', 'of', 'distributions', 'in', 'the', 'algebras', 'of', 'generalized', 'functions', 'on', 'a', 'closed', 'riemannian', 'manifold', 'these', 'embeddings', 'are', 'invariant', 'under', 'isometries', 'and', 'preserve', 'the', 'singularity', 'structure', 'of', 'the', 'distributions']] | [-0.09738122292465586, 0.05333028391332311, -0.1513669940040392, 0.18694106840035496, -0.08413145241930205, -0.07061835642739692, -0.07470224402255982, 0.44221869828727317, -0.32488436777802077, -0.22662859366220586, 0.08344358380760669, -0.3309619623126791, -0.13247002457158968, 0.11928791225449566, -0.1206962837399367, 0.04849178297445178, 0.06480233279495116, 0.06728851161075428, -0.21976020080311334, -0.22653537045698613, 0.5128199199680239, -0.013024903392172693, 0.30772705891114827, 0.03970111464663847, 0.15189674496650696, -0.011682954685324255, 0.00032435816383975395, -0.010597663055009702, -0.17632972088176757, 0.1878218313898234, 0.22654769523069263, 0.13206282935981803, 0.1388588046778322, -0.38561588262810426, -0.22824932500610456, 0.14966918330858736, 0.11311289600973182, 0.012086245779167204, -0.02429379938129226, -0.31458459849305015, 0.09906587778481052, -0.1030559241771698, -0.11136231376953862, -0.16920375015915318, -0.040692899800727475, 0.035004992099643195, -0.21360980447635108, 0.019469492438742343, 0.12124496512115002, 0.07142349302440006, -0.1434468477827442, -0.03522192067740595, -0.04447624676258249, 0.1231300742502379, -0.006561555351842852, 0.00932140663430533, 0.10841842205263674, -0.07724610636668171, -0.13315194105619893, 0.34098162904710455, -0.08369177492225871, -0.3907292907071464, 0.10514699314337443, -0.17363567177808897, -0.20519633545978544, 0.08703236484571415, 0.17554139740326824, 0.19548028061056838, -0.061769943110822866, 0.17547386892735684, -0.04438869994791115, 0.02182308305054903, 0.0942158034098718, 0.05100676217390334, 0.14900873672655401, 0.048554087002926016, 0.10173834189224769, 0.13551563051912716, -0.00644202547503964, -0.09987712996628355, -0.3481861642726204, -0.1273813988082111, -0.09888697482700295, 0.14810469041249769, -0.15974984098840436, -0.24208725254763575, 0.44749917621340823, 0.02923754319165121, 0.2536604981869459, 0.11609024825670264, 0.1742437584873508, 0.054268549689475226, 0.11376641975606189, 0.08696196633665, 0.1312314717044287, 0.23013556069310973, -0.040059208965805525, -0.09490854746442945, -0.03726392621448373, 0.13616075555739157] |
709.204 | The RMS Survey: Mid-Infrared Observations of Candidate Massive YSOs in
the Southern Hemisphere | Abridged abstract: The Red MSX Source (RMS) survey is an ongoing effort to
return a large, well-selected sample of massive young stellar objects (MYSOs)
within our Galaxy. A series of ground-based follow-up observations are being
undertaken in order to remove contaminant objects from our list of 2000
candidates, and to begin characterising these MYSOs. As a part of these
follow-up observations, high resolution (~1") mid-IR imaging aids the
identification of contaminant objects which are resolved (UCHII regions, PN) as
opposed to those which are unresolved (YSOs, evolved stars) as well as
identifying YSOs near UCHII regions and other multiple sources. We present 10.4
micron imaging observations for 346 candidate MYSOs in the RMS survey in the
Southern Hemisphere, primarily outside the region covered by the GLIMPSE
Spitzer Legacy Survey. These were obtained using TIMMI2 on the ESO 3.6m
telescope in La Silla, Chile. Our photometric accuracy is of order 0.05Jy, and
our astrometric accuracy is 0.8", which is an improvement over the nominal 2"
accuracy of the MSX PSC.
| astro-ph | abridged abstract the red msx source rms survey is an ongoing effort to return a large wellselected sample of massive young stellar objects mysos within our galaxy a series of groundbased followup observations are being undertaken in order to remove contaminant objects from our list of 2000 candidates and to begin characterising these mysos as a part of these followup observations high resolution 1 midir imaging aids the identification of contaminant objects which are resolved uchii regions pn as opposed to those which are unresolved ysos evolved stars as well as identifying ysos near uchii regions and other multiple sources we present 104 micron imaging observations for 346 candidate mysos in the rms survey in the southern hemisphere primarily outside the region covered by the glimpse spitzer legacy survey these were obtained using timmi2 on the eso 36m telescope in la silla chile our photometric accuracy is of order 005jy and our astrometric accuracy is 08 which is an improvement over the nominal 2 accuracy of the msx psc | [['abridged', 'abstract', 'the', 'red', 'msx', 'source', 'rms', 'survey', 'is', 'an', 'ongoing', 'effort', 'to', 'return', 'a', 'large', 'wellselected', 'sample', 'of', 'massive', 'young', 'stellar', 'objects', 'mysos', 'within', 'our', 'galaxy', 'a', 'series', 'of', 'groundbased', 'followup', 'observations', 'are', 'being', 'undertaken', 'in', 'order', 'to', 'remove', 'contaminant', 'objects', 'from', 'our', 'list', 'of', '2000', 'candidates', 'and', 'to', 'begin', 'characterising', 'these', 'mysos', 'as', 'a', 'part', 'of', 'these', 'followup', 'observations', 'high', 'resolution', '1', 'midir', 'imaging', 'aids', 'the', 'identification', 'of', 'contaminant', 'objects', 'which', 'are', 'resolved', 'uchii', 'regions', 'pn', 'as', 'opposed', 'to', 'those', 'which', 'are', 'unresolved', 'ysos', 'evolved', 'stars', 'as', 'well', 'as', 'identifying', 'ysos', 'near', 'uchii', 'regions', 'and', 'other', 'multiple', 'sources', 'we', 'present', '104', 'micron', 'imaging', 'observations', 'for', '346', 'candidate', 'mysos', 'in', 'the', 'rms', 'survey', 'in', 'the', 'southern', 'hemisphere', 'primarily', 'outside', 'the', 'region', 'covered', 'by', 'the', 'glimpse', 'spitzer', 'legacy', 'survey', 'these', 'were', 'obtained', 'using', 'timmi2', 'on', 'the', 'eso', '36m', 'telescope', 'in', 'la', 'silla', 'chile', 'our', 'photometric', 'accuracy', 'is', 'of', 'order', '005jy', 'and', 'our', 'astrometric', 'accuracy', 'is', '08', 'which', 'is', 'an', 'improvement', 'over', 'the', 'nominal', '2', 'accuracy', 'of', 'the', 'msx', 'psc']] | [-0.04426131479530817, 0.03675067664135852, -0.051101773528249135, 0.07258013915547747, -0.13765044502049154, -0.012977583799511194, 0.05283162630283706, 0.4390923251797046, -0.1350767579084883, -0.41935256861117004, 0.14938813295261102, -0.35025111741075915, -0.015311171449000193, 0.18436972442023467, -0.10090127728627911, -0.03212584014926549, 0.1194746978414644, -0.1532887327651094, 0.04185609478736296, -0.30616040063822375, 0.23467500041061568, 0.1303106213565029, 0.12400992747141226, -0.11241340795753613, 0.06631830692779095, -0.15748353695796272, -0.16444694787198733, -0.035062197235501594, -0.14319459390424613, 0.07870281489643578, 0.3695363701651028, 0.13072042686066457, 0.2351333412696563, -0.268096204120671, -0.18811375553958073, 0.01773121496080421, 0.19304337637454627, -0.003110498714488044, -0.023159490957152144, -0.3786428803494865, 0.09440956416004892, -0.1420665713677798, -0.1997505967654953, 0.06998561289219651, 0.03191384338563131, 0.05670151507919876, -0.19605364110265372, 0.08346153074844984, -0.06000278238414986, 0.1940924302325584, -0.18582248380629435, -0.18396178960323423, -0.055505380105820394, 0.15165265309735246, -0.07571572968680855, 0.13193307675620808, 0.12573858072227312, -0.1834635230840095, -0.0360495004417663, 0.3459720520740597, -0.06027226026413873, 0.02164412995695048, 0.23661110255246362, -0.2135367578178245, -0.2159045073009717, 0.1844450322740678, 0.15879885413284814, 0.182442509524879, -0.19763101697927118, 0.0023540791413064915, -0.002891018518268885, 0.22264879898249915, 0.07298594565058704, 0.12501782510809703, 0.3312520365718575, 0.13631248119470132, 0.04964457216417594, 0.1414090675288684, -0.3600003295813665, -0.04014555180800103, -0.282482377083354, -0.11222966427227393, -0.1293780077969478, 0.06733323103461382, -0.10666000990758698, -0.09787784619055899, 0.2912071555121137, 0.12121729739287514, 0.1436591030325785, 0.026464342937244856, 0.3109850248064114, -0.01568460189515636, 0.13512128705596774, 0.04862076423263976, 0.31382655248134617, 0.09305446509027943, 0.10743986827617932, -0.16396969947492748, 0.013418104976326936, -0.01972109283919313] |
709.2041 | A note on the quantization of a multi-horizon black hole | We consider the quasinormal spectrum of a charged scalar field in the
(charged) Reissner-Nordstrom spacetime, which has two horizons. The spectrum is
characterized by two distinct families of asymptotic resonances. We suggest and
demonstrate the according to Bohr's correspondence principle and in agreement
with the Bekenstein-Mukhanov quantization scheme, one of these resonances
corresponds to a fundamental change of Delta A=4hbar ln2 in the surface area of
the black-hole outer horizon. The second asymptotic resonance is associated
with a fundamental change of Delta Atot=4hbar ln3 in the total area of the
black hole (in the sum of the surface areas of the inner and outer horizons),
in accordance with a suggestion of Makela and Repo.
| gr-qc astro-ph hep-th | we consider the quasinormal spectrum of a charged scalar field in the charged reissnernordstrom spacetime which has two horizons the spectrum is characterized by two distinct families of asymptotic resonances we suggest and demonstrate the according to bohrs correspondence principle and in agreement with the bekensteinmukhanov quantization scheme one of these resonances corresponds to a fundamental change of delta a4hbar ln2 in the surface area of the blackhole outer horizon the second asymptotic resonance is associated with a fundamental change of delta atot4hbar ln3 in the total area of the black hole in the sum of the surface areas of the inner and outer horizons in accordance with a suggestion of makela and repo | [['we', 'consider', 'the', 'quasinormal', 'spectrum', 'of', 'a', 'charged', 'scalar', 'field', 'in', 'the', 'charged', 'reissnernordstrom', 'spacetime', 'which', 'has', 'two', 'horizons', 'the', 'spectrum', 'is', 'characterized', 'by', 'two', 'distinct', 'families', 'of', 'asymptotic', 'resonances', 'we', 'suggest', 'and', 'demonstrate', 'the', 'according', 'to', 'bohrs', 'correspondence', 'principle', 'and', 'in', 'agreement', 'with', 'the', 'bekensteinmukhanov', 'quantization', 'scheme', 'one', 'of', 'these', 'resonances', 'corresponds', 'to', 'a', 'fundamental', 'change', 'of', 'delta', 'a4hbar', 'ln2', 'in', 'the', 'surface', 'area', 'of', 'the', 'blackhole', 'outer', 'horizon', 'the', 'second', 'asymptotic', 'resonance', 'is', 'associated', 'with', 'a', 'fundamental', 'change', 'of', 'delta', 'atot4hbar', 'ln3', 'in', 'the', 'total', 'area', 'of', 'the', 'black', 'hole', 'in', 'the', 'sum', 'of', 'the', 'surface', 'areas', 'of', 'the', 'inner', 'and', 'outer', 'horizons', 'in', 'accordance', 'with', 'a', 'suggestion', 'of', 'makela', 'and', 'repo']] | [-0.1764654103154736, 0.11150289409550594, -0.08269697288890276, 0.0592979584833154, -0.02618097682559007, -0.10560179928837864, 0.016513015099524242, 0.28317646885307524, -0.18324429582099658, -0.30609388798810877, 0.07412232189892314, -0.3243862328765629, -0.11179754146383153, 0.17557445145841385, -0.09362177586031926, 0.03349201752057484, -0.003082637473739482, 0.11221636660598419, -0.07774040049260801, -0.1607737890591526, 0.38471916767659486, 0.04187620726523099, 0.2312322026370345, 0.04848814114659756, 0.07479593814308713, 0.0050759198089541345, 0.007654863552332998, 0.029236853891930665, -0.16331937544987546, 0.14370442358651073, 0.20778701544177156, 0.07259172146619709, 0.22021363092468935, -0.3641972144025269, -0.1902687725787227, 0.060709117811072515, 0.15646253126832815, 0.07563784522075744, -0.04441180055843549, -0.2493627336178277, 0.06991854507155162, -0.17885069198369444, -0.17104861026562684, 0.03329155643613221, 0.028253782680048398, -0.017323035948179865, -0.21924476256711525, 0.12474988943788114, 0.06931188778095954, -0.0008127947541390051, -0.10135931254213525, -0.08356597073594327, -0.024096727933365484, 0.1080921399700749, 0.14867861555398418, 0.0016979176072856865, 0.1280017711079537, -0.08740216543109298, -0.11768462945316993, 0.3304669430127015, -0.07559476082154491, -0.15767415688658418, 0.15098549330791644, -0.2721897435106069, -0.06680060332422857, 0.1386271572896271, 0.12710273161169713, 0.15070398868405604, -0.10972435925541832, 0.13248491406163856, -0.017604324792570493, 0.13314013230941585, 0.13043833764790147, 0.05821582024673426, 0.32449972533897775, 0.11976916069240384, 0.0519534493670673, 0.15724365799142434, -0.08332761917064, -0.1087169544435702, -0.3462598415444026, -0.191123203376543, -0.1567993635009672, 0.028773412662180694, -0.1340551619572137, -0.16120777775004907, 0.3865659678458624, 0.03311290892327691, 0.22683998779183975, -0.0012406843582268906, 0.2275027202920535, 0.11506019024228728, 0.04113029382351014, 0.09738010636516134, 0.31435703245612484, 0.15237707330274755, 0.09912008661273364, -0.285855346495917, -0.04496756323606934, 0.056893714804303004] |
709.2042 | Infrared Gluon and Ghost Propagators | We derive the form of the infrared gluon propagator by proving a mapping in
the infrared of the quantum Yang-Mills and $\lambda\phi^4$ theories. The
equivalence is complete at a classical level. But while at a quantum level, the
correspondence is spoiled by quantum fluctuations in the ultraviolet limit, we
prove that it holds in the infrared where the coupling constant happens to be
very large. The infrared propagator is then obtained from the quantum field
theory of the scalar field producing a full spectrum. The results are in fully
agreement with recent lattice computations. We get a finite propagator at zero
momentum, the ghost propagator going to infinity as $1/p^{2+2\kappa}$ with
$\kappa=0$.
| hep-th hep-lat hep-ph math-ph math.AP math.MP | we derive the form of the infrared gluon propagator by proving a mapping in the infrared of the quantum yangmills and lambdaphi4 theories the equivalence is complete at a classical level but while at a quantum level the correspondence is spoiled by quantum fluctuations in the ultraviolet limit we prove that it holds in the infrared where the coupling constant happens to be very large the infrared propagator is then obtained from the quantum field theory of the scalar field producing a full spectrum the results are in fully agreement with recent lattice computations we get a finite propagator at zero momentum the ghost propagator going to infinity as 1p22kappa with kappa0 | [['we', 'derive', 'the', 'form', 'of', 'the', 'infrared', 'gluon', 'propagator', 'by', 'proving', 'a', 'mapping', 'in', 'the', 'infrared', 'of', 'the', 'quantum', 'yangmills', 'and', 'lambdaphi4', 'theories', 'the', 'equivalence', 'is', 'complete', 'at', 'a', 'classical', 'level', 'but', 'while', 'at', 'a', 'quantum', 'level', 'the', 'correspondence', 'is', 'spoiled', 'by', 'quantum', 'fluctuations', 'in', 'the', 'ultraviolet', 'limit', 'we', 'prove', 'that', 'it', 'holds', 'in', 'the', 'infrared', 'where', 'the', 'coupling', 'constant', 'happens', 'to', 'be', 'very', 'large', 'the', 'infrared', 'propagator', 'is', 'then', 'obtained', 'from', 'the', 'quantum', 'field', 'theory', 'of', 'the', 'scalar', 'field', 'producing', 'a', 'full', 'spectrum', 'the', 'results', 'are', 'in', 'fully', 'agreement', 'with', 'recent', 'lattice', 'computations', 'we', 'get', 'a', 'finite', 'propagator', 'at', 'zero', 'momentum', 'the', 'ghost', 'propagator', 'going', 'to', 'infinity', 'as', '1p22kappa', 'with', 'kappa0']] | [-0.11245996465797427, 0.20235402576272954, -0.1586056505078198, 0.08487711664654214, -0.02937160311098974, -0.11898551419427669, 0.030407093099301664, 0.3266734870670884, -0.2017101185660608, -0.21976033235723907, 0.07978754495333477, -0.2877701738899624, -0.1264521728420781, 0.1311215663534329, -0.00341820601491375, 0.033797863304514335, 0.03730885305458696, 0.07938529731420514, -0.058567160191979294, -0.23629879166984613, 0.33138435629725055, 0.04569847870047565, 0.24693535216286913, 0.09150333373140343, 0.10492703927993388, 0.02342700313877415, 0.00340909633349191, 0.027022627308159262, -0.11837293817862284, 0.06299172940759433, 0.2411084366366603, 0.02209236650090027, 0.22965050753004648, -0.38582497719373254, -0.20541811583832176, 0.06772880236458806, 0.13682815297884313, 0.16917079604264382, -0.025655862369767583, -0.2554406646874037, 0.07291220073160287, -0.12094719286877997, -0.1985794008617197, -0.059977131421669376, -0.04484816031270401, -0.07399573757759975, -0.2816927818044483, 0.057568685841738236, -0.008355205584955108, 0.06672382669372333, -0.028772586707008985, -0.04844379302970058, -0.031844993201629805, 0.12788306696021612, 0.053229269751928106, 0.09761256262972565, 0.0860432988603763, -0.23717683079644097, -0.08591557138385503, 0.3761452005941186, -0.12530832564844205, -0.16145130958374557, 0.1576519815905674, -0.22411836729896767, -0.10924201666352314, 0.13251861168054846, 0.039357255818112544, 0.12293273620810863, -0.12375905830413103, 0.24566089960081536, -0.030137747696072265, 0.13932710940433615, 0.09820130409102316, 0.08739454027726515, 0.21816121233492955, 0.07633394479483098, 0.027827274167557824, 0.14483225224896226, -0.03054594970098487, -0.14526070573006397, -0.3827975162279767, -0.1273041605982963, -0.1845990572846285, 0.1259592228279625, -0.11489439005992345, -0.17586015585205844, 0.3239141880756932, 0.1366588413722704, 0.1853865391516068, 0.09821356934084145, 0.29702093693855647, 0.212387903498041, 0.10174527865213652, 0.08753801512674571, 0.29000345448048803, 0.16422234647928294, 0.10876103648538324, -0.24081849559998927, -0.11082682142617298, 0.118485062689361] |
709.2043 | Self-regulated gravitational accretion in protostellar discs | We present a numerical model for the evolution of a protostellar disc that
has formed self-consistently from the collapse of a molecular cloud core. The
global evolution of the disc is followed for several million years after its
formation. The capture of a wide range of spatial and temporal scales is made
possible by use of the thin-disc approximation. We focus on the role of
gravitational torques in transporting mass inward and angular momentum outward
during different evolutionary phases of a protostellar disc with disc-to-star
mass ratio of order 0.1. In the early phase, when the infall of matter from the
surrounding envelope is substantial, mass is transported inward by the
gravitational torques from spiral arms that are a manifestation of the
envelope-induced gravitational instability in the disc. In the late phase, when
the gas reservoir of the envelope is depleted, the distinct spiral structure is
replaced by ongoing irregular nonaxisymmetric density perturbations. The
amplitude of these density perturbations decreases with time, though this
process is moderated by swing amplification aided by the existence of the
disc's sharp outer edge. Our global modelling of the protostellar disc reveals
that there is typically a residual nonzero gravitational torque from these
density perturbations, i.e. their effects do not exactly cancel out in each
region. In particular, the net gravitational torque in the inner disc tends to
be negative during first several million years of the evolution, while the
outer disc has a net positive gravitational torque. Our global model of a
self-consistently formed disc shows that it is also self-regulated in the late
phase, so that it is near the Toomre stability limit, with a near-uniform
Toomre parameter Q\approx 1.5-2.0. (Abstract abridged).
| astro-ph | we present a numerical model for the evolution of a protostellar disc that has formed selfconsistently from the collapse of a molecular cloud core the global evolution of the disc is followed for several million years after its formation the capture of a wide range of spatial and temporal scales is made possible by use of the thindisc approximation we focus on the role of gravitational torques in transporting mass inward and angular momentum outward during different evolutionary phases of a protostellar disc with disctostar mass ratio of order 01 in the early phase when the infall of matter from the surrounding envelope is substantial mass is transported inward by the gravitational torques from spiral arms that are a manifestation of the envelopeinduced gravitational instability in the disc in the late phase when the gas reservoir of the envelope is depleted the distinct spiral structure is replaced by ongoing irregular nonaxisymmetric density perturbations the amplitude of these density perturbations decreases with time though this process is moderated by swing amplification aided by the existence of the discs sharp outer edge our global modelling of the protostellar disc reveals that there is typically a residual nonzero gravitational torque from these density perturbations ie their effects do not exactly cancel out in each region in particular the net gravitational torque in the inner disc tends to be negative during first several million years of the evolution while the outer disc has a net positive gravitational torque our global model of a selfconsistently formed disc shows that it is also selfregulated in the late phase so that it is near the toomre stability limit with a nearuniform toomre parameter qapprox 1520 abstract abridged | [['we', 'present', 'a', 'numerical', 'model', 'for', 'the', 'evolution', 'of', 'a', 'protostellar', 'disc', 'that', 'has', 'formed', 'selfconsistently', 'from', 'the', 'collapse', 'of', 'a', 'molecular', 'cloud', 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709.2044 | Lemaitre-Tolman-Bondi model and accelerating expansion | I discuss the spherically symmetric but inhomogeneous Lemaitre-Tolman- Bondi
(LTB) metric, which provides an exact toy model for an inhomogeneous universe.
Since we observe light rays from the past light cone, not the expansion of the
universe, spatial variation in matter density and Hubble rate can have the same
effect on redshift as acceleration in a perfectly homogeneous universe. As a
consequence, a simple spatial variation in the Hubble rate can account for the
distant supernova data in a dust universe without any dark energy. I also
review various attempts towards a semirealistic description of the universe
based on the LTB model.
| astro-ph | i discuss the spherically symmetric but inhomogeneous lemaitretolman bondi ltb metric which provides an exact toy model for an inhomogeneous universe since we observe light rays from the past light cone not the expansion of the universe spatial variation in matter density and hubble rate can have the same effect on redshift as acceleration in a perfectly homogeneous universe as a consequence a simple spatial variation in the hubble rate can account for the distant supernova data in a dust universe without any dark energy i also review various attempts towards a semirealistic description of the universe based on the ltb model | [['i', 'discuss', 'the', 'spherically', 'symmetric', 'but', 'inhomogeneous', 'lemaitretolman', 'bondi', 'ltb', 'metric', 'which', 'provides', 'an', 'exact', 'toy', 'model', 'for', 'an', 'inhomogeneous', 'universe', 'since', 'we', 'observe', 'light', 'rays', 'from', 'the', 'past', 'light', 'cone', 'not', 'the', 'expansion', 'of', 'the', 'universe', 'spatial', 'variation', 'in', 'matter', 'density', 'and', 'hubble', 'rate', 'can', 'have', 'the', 'same', 'effect', 'on', 'redshift', 'as', 'acceleration', 'in', 'a', 'perfectly', 'homogeneous', 'universe', 'as', 'a', 'consequence', 'a', 'simple', 'spatial', 'variation', 'in', 'the', 'hubble', 'rate', 'can', 'account', 'for', 'the', 'distant', 'supernova', 'data', 'in', 'a', 'dust', 'universe', 'without', 'any', 'dark', 'energy', 'i', 'also', 'review', 'various', 'attempts', 'towards', 'a', 'semirealistic', 'description', 'of', 'the', 'universe', 'based', 'on', 'the', 'ltb', 'model']] | [-0.07387725344868194, 0.08851484964429356, -0.1446036650324423, 0.13074998349503741, -0.12761762059823262, -0.0865683545878924, -0.04945284754320906, 0.39344829945441556, -0.19726610007951512, -0.2674155593941025, 0.06837352501758028, -0.21506703734470933, -0.023272300339943052, 0.1531324152442097, -0.01582406225606617, -0.056458714385014756, -0.027551617573800626, 0.014443181053388352, -0.06982935021512152, -0.27205204474511463, 0.3617123619233276, 0.12788133608980798, 0.2593425192651065, 0.005208486134149865, 0.13148707401705906, -0.055972923253042005, -0.07523039471376322, 0.03755830578944262, -0.18749313084773866, 0.01429728000406541, 0.16925470295602424, 0.15977018057852618, 0.22533455558860785, -0.4354373780535717, -0.31071096911624657, 0.15976676338480092, 0.19220773389279916, 0.2039212107546536, -0.10755864309612662, -0.2832271972050269, -0.03888633482925156, -0.19471062175637366, -0.17540847384096944, 0.010910852246132552, 0.02304907157724979, -0.017040782808965326, -0.21238818685706778, 0.15249408067714232, -0.0031777809319250725, -0.02431782743181376, -0.14065551403316431, -0.03918571238789488, -0.0005829907992544273, 0.02120636196752243, 0.06913372645538081, 0.027757487910361412, 0.12627607719360978, -0.14901246883856206, -0.04591959975568541, 0.43142836737245616, -0.1528233492669339, -0.11784460408357429, 0.11611667962279171, -0.17831339195881987, -0.11061613787166483, 0.10030846282675424, 0.15971108743300041, 0.0953908951350433, -0.18583246040176235, 0.13978227049822226, -0.028209512556820887, 0.16014435890190049, 0.05846960257337082, 0.03974979467481413, 0.3290109098341097, 0.13781714363836264, 0.03153565838047322, 0.05717285101612409, -0.0797741840566125, -0.08165926424622097, -0.364576498457395, -0.14379280731972197, -0.1832771512506274, 0.1045206414546199, -0.22100428056742827, -0.173380555082843, 0.3560204466955517, 0.08266784512784843, 0.21853720551977554, 0.03313435983099956, 0.301278121586816, 0.005131422393663111, 0.002084370542719376, 0.11433393966552674, 0.29557007493670373, 0.09195347761224006, 0.13726637301528277, -0.203041737367326, 0.05481935729153966, 0.052847606287447405] |
709.2045 | D-Branes in Topological String Theory | This thesis is concerned with D-branes in topological string theory, focusing
on the description of B-type D-branes in topological Landau-Ginzburg models.
Such D-branes are characterized by matrix factorizations of the Landau-Ginzburg
superpotential. After reviewing some aspects of topological string theory we
give a detailed discussion of matrix factorizations. We discuss methods to
calculate the effective superpotential in minimal models, putting emphasis on
an algorithm to calculate the effective superpotential via deformations of
matrix factorizations. We furthermore perform a non-trivial check of
homological mirror symmetry for the torus.
| hep-th | this thesis is concerned with dbranes in topological string theory focusing on the description of btype dbranes in topological landauginzburg models such dbranes are characterized by matrix factorizations of the landauginzburg superpotential after reviewing some aspects of topological string theory we give a detailed discussion of matrix factorizations we discuss methods to calculate the effective superpotential in minimal models putting emphasis on an algorithm to calculate the effective superpotential via deformations of matrix factorizations we furthermore perform a nontrivial check of homological mirror symmetry for the torus | [['this', 'thesis', 'is', 'concerned', 'with', 'dbranes', 'in', 'topological', 'string', 'theory', 'focusing', 'on', 'the', 'description', 'of', 'btype', 'dbranes', 'in', 'topological', 'landauginzburg', 'models', 'such', 'dbranes', 'are', 'characterized', 'by', 'matrix', 'factorizations', 'of', 'the', 'landauginzburg', 'superpotential', 'after', 'reviewing', 'some', 'aspects', 'of', 'topological', 'string', 'theory', 'we', 'give', 'a', 'detailed', 'discussion', 'of', 'matrix', 'factorizations', 'we', 'discuss', 'methods', 'to', 'calculate', 'the', 'effective', 'superpotential', 'in', 'minimal', 'models', 'putting', 'emphasis', 'on', 'an', 'algorithm', 'to', 'calculate', 'the', 'effective', 'superpotential', 'via', 'deformations', 'of', 'matrix', 'factorizations', 'we', 'furthermore', 'perform', 'a', 'nontrivial', 'check', 'of', 'homological', 'mirror', 'symmetry', 'for', 'the', 'torus']] | [-0.16274099820025864, 0.11443996563939854, -0.08911547464607604, 0.16211924325118118, -0.08314216040053415, -0.19165934321481262, 0.010169132612645626, 0.32101113022165906, -0.20914222227259613, -0.2512246707304456, 0.09287705153210796, -0.23548563503949294, -0.22061918583837734, 0.08578222638381452, -0.14038021199340964, 0.02711270283907652, -0.0012038602418769364, 0.021253303613984722, -0.1935753652119431, -0.281649196049434, 0.39809042010884516, -0.007895417918247738, 0.24244388228218103, 0.06991553790974377, 0.07456698299696048, -0.001252539996485943, -0.07595813715691282, -0.04330373785576259, -0.18501908896255426, 0.15593298531843927, 0.2428213347204668, 0.06759837003767319, 0.054128628823606445, -0.5080871819464983, -0.18785650016012034, 0.07779052283015402, 0.12904549051804104, 0.16898969545339546, -0.030319524246492778, -0.2754728061671572, 0.11770299172842469, -0.19410211826278562, -0.15496306671578994, -0.14082040688847244, 0.016191202098096925, -0.06293348206913676, -0.18250367316101604, -0.03706390253634824, 0.012665733791373927, 0.13411287251517348, -0.01616982202013505, -0.09380551641699912, -0.03258206669091322, 0.039184951796142876, 0.1175005507746433, -0.013434442386416525, 0.11898611472710839, -0.22586367050474832, -0.12967090861839725, 0.36940843618378555, -0.05142107304592414, -0.2078269270473513, 0.08822894008594682, -0.03758378572836946, -0.20593225379506575, 0.06465428132007177, 0.0867905418506299, 0.16032769066604768, -0.08197520999773138, 0.24466887834728107, -0.02132309654235155, 0.09567886529939956, 0.061261981923732604, 0.04264831044348211, 0.25926497664527387, 0.15823418167473255, 0.029540397638947457, 0.16469269754343677, 0.03845686538830057, -0.12339316108317554, -0.41757163788652285, -0.11420339063323777, -0.11458180022650752, 0.13624070271121702, -0.11762550805599012, -0.21880706188793497, 0.4607484431016719, 0.0870981434702702, 0.2441380638254528, 0.0459297521320177, 0.20849803376985693, 0.07220766600221395, -0.008015362759945036, -0.039409114200429154, 0.1892099623831294, 0.2362891139232436, 0.015827795983045952, -0.21425353725515733, -0.10349197853784795, 0.2844027374876428] |
709.2046 | EROs found behind lensing clusters: II.Empirical properties,
classification, and SED modelling based on multi-wavelength observations | We study the properties and nature of extremely red galaxies (ERO, R-K>5.6)
found behind two lensing clusters and compare them with other known galaxy
populations. New HST/ACS observations, Spitzer IRAC and MIPS, and Chandra/ACIS
observations of the two lensing clusters Abell 1835 and AC114 contemplate our
earlier optical and near-IR observations and have been used to study extremely
red objects (EROs) in these deep fields. We have found 6 and 9 EROs in Abell
1835 and AC114. Several (7) of these objects are undetected up to the I and/or
z band, and are hence ``optical'' drop-out sources. The photometric redshifts
of most of our sources (80%) are z~0.7-1.5. According to simple colour-colour
diagrams the majority of our objects would be classified as hosting old stellar
populations. However, there are clear signs of dusty starbursts for several
among them. These objects correspond to the most extreme ones in R-K colour. We
estimate a surface density of (0.97+-0.31) arcmin-2 for EROs with (R-K>5.6) at
K<20.5. Among our 15 EROs 6 (40 %) also classify as distant red galaxies
(DRGs). 11 of 13 EROs with available IRAC photometry also fulfil the selection
criteria for IRAC selected EROs (IEROs) of Yan et al. (2004). SED modelling
shows that ~ 36 % of the IEROs in our sample are luminous or ultra-luminous
infrared galaxies ((U)LIRG). Some very red DRGs are found to be very dusty
starbursts, even (U)LIRGs, as also supported by their mid-IR photometry. No
indication for AGNs is found, although faint activity cannot be excluded for
all objects. From mid-IR and X-ray data 5 objects are clearly classified as
starbursts. The derived properties are quite similar to those of DRGs and
IEROs, except for 5 extreme objects in terms of colours, for which a very high
extinction (Av>3) is found.
| astro-ph | we study the properties and nature of extremely red galaxies ero rk56 found behind two lensing clusters and compare them with other known galaxy populations new hstacs observations spitzer irac and mips and chandraacis observations of the two lensing clusters abell 1835 and ac114 contemplate our earlier optical and nearir observations and have been used to study extremely red objects eros in these deep fields we have found 6 and 9 eros in abell 1835 and ac114 several 7 of these objects are undetected up to the i andor z band and are hence optical dropout sources the photometric redshifts of most of our sources 80 are z0715 according to simple colourcolour diagrams the majority of our objects would be classified as hosting old stellar populations however there are clear signs of dusty starbursts for several among them these objects correspond to the most extreme ones in rk colour we estimate a surface density of 097031 arcmin2 for eros with rk56 at k205 among our 15 eros 6 40 also classify as distant red galaxies drgs 11 of 13 eros with available irac photometry also fulfil the selection criteria for irac selected eros ieros of yan et al 2004 sed modelling shows that 36 of the ieros in our sample are luminous or ultraluminous infrared galaxies ulirg some very red drgs are found to be very dusty starbursts even ulirgs as also supported by their midir photometry no indication for agns is found although faint activity cannot be excluded for all objects from midir and xray data 5 objects are clearly classified as starbursts the derived properties are quite similar to those of drgs and ieros except for 5 extreme objects in terms of colours for which a very high extinction av3 is found | [['we', 'study', 'the', 'properties', 'and', 'nature', 'of', 'extremely', 'red', 'galaxies', 'ero', 'rk56', 'found', 'behind', 'two', 'lensing', 'clusters', 'and', 'compare', 'them', 'with', 'other', 'known', 'galaxy', 'populations', 'new', 'hstacs', 'observations', 'spitzer', 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709.2047 | Perturbational approach to the quantum capacity of additive Gaussian
quantum channel | For a quantum channel with additive Gaussian quantum noise, at the large
input energy side, we prove that the one shot capacity is achieved by the
thermal noise state for all Gaussian state inputs, it is also true for
non-Gaussian input in the sense of first order perturbation. For a general case
of $n$ copies input, we show that up to first order perturbation, any
non-Gaussian perturbation to the product thermal state input has a less quantum
information transmission rate when the input energy tend to infinitive.
| quant-ph | for a quantum channel with additive gaussian quantum noise at the large input energy side we prove that the one shot capacity is achieved by the thermal noise state for all gaussian state inputs it is also true for nongaussian input in the sense of first order perturbation for a general case of n copies input we show that up to first order perturbation any nongaussian perturbation to the product thermal state input has a less quantum information transmission rate when the input energy tend to infinitive | [['for', 'a', 'quantum', 'channel', 'with', 'additive', 'gaussian', 'quantum', 'noise', 'at', 'the', 'large', 'input', 'energy', 'side', 'we', 'prove', 'that', 'the', 'one', 'shot', 'capacity', 'is', 'achieved', 'by', 'the', 'thermal', 'noise', 'state', 'for', 'all', 'gaussian', 'state', 'inputs', 'it', 'is', 'also', 'true', 'for', 'nongaussian', 'input', 'in', 'the', 'sense', 'of', 'first', 'order', 'perturbation', 'for', 'a', 'general', 'case', 'of', 'n', 'copies', 'input', 'we', 'show', 'that', 'up', 'to', 'first', 'order', 'perturbation', 'any', 'nongaussian', 'perturbation', 'to', 'the', 'product', 'thermal', 'state', 'input', 'has', 'a', 'less', 'quantum', 'information', 'transmission', 'rate', 'when', 'the', 'input', 'energy', 'tend', 'to', 'infinitive']] | [-0.11331760414458554, 0.15583468084062996, -0.06903297081054456, 0.05973110799998816, -0.01119861873830187, -0.16962686620502807, 0.03912806728501515, 0.3342069903195932, -0.30422403745824234, -0.2574359733482887, 0.10533318050264584, -0.2899205944147603, -0.1079427966387707, 0.15578986113976645, -0.06365604836750648, 0.12069945799550791, 0.06521182627170935, 0.14445298815938248, -0.001867396655310502, -0.28187940032060804, 0.349745685523697, 0.04646684355825057, 0.2661051487536089, -0.027186850894071246, 0.10980404352490929, 0.013753251665025607, 0.02773963435199754, -0.02144378468651196, -0.09589594571089143, 0.03953122753307395, 0.26569747975117514, 0.044712074173229005, 0.2793184120807497, -0.38635657107907123, -0.2570157650558428, 0.12200177596860576, 0.08117671910373644, 0.19705242437749415, 0.003616615431383252, -0.27316738786871664, 0.11233124454323759, -0.16698478835624184, -0.06659239660092127, -0.10179780068239946, 0.006223529919810678, -0.05320916678114184, -0.3592334922788472, 0.077773367330076, 0.08997595438401847, -0.06119147921516292, 0.0008093686881421626, -0.1173253553081839, 0.0014816667702605669, 0.14864337562493735, -0.03337357655413791, 0.03688951086884514, 0.12959335140091763, -0.1734021421222166, -0.07799223750620952, 0.3179718816074832, -0.11483655415539598, -0.22162916355006312, 0.10699945232822913, -0.16276481509444185, -0.10636191704744023, 0.1553937685087152, 0.14014167242265982, 0.0449777510734382, -0.10692578891172454, 0.07351056358980379, 0.021696804166268343, 0.24612509340968455, 0.0990742309374906, 0.10322203409882134, 0.14043847092523656, 0.0944950213687944, 0.11815908284665182, 0.1893455203751038, -0.11606041379487035, -0.12065991354121387, -0.31933299664022596, -0.13690842599233335, -0.2493381469427533, 0.110610898541308, -0.10853958709015586, -0.1531799154720087, 0.3661853503221753, 0.14581330324223415, 0.17506824588488745, 0.09367215146321332, 0.38119206577539444, 0.17086317579144206, -0.011144526720303914, 0.11848089001516159, 0.1740228863775559, 0.1571447103278947, 0.0557471439991703, -0.16696920694419365, 0.06987441598769577, -0.01791498903185129] |
709.2048 | Cherenkov Telescope Array: The next-generation ground-based gamma-ray
observatory | High energy gamma-ray astronomy is a newly emerging and very successful
branch of astronomy and astrophysics. Exciting results have been obtained by
the current generation Cherenkov telescope systems such as H.E.S.S., MAGIC,
VERITAS and CANGAROO. The H.E.S.S. survey of the galactic plane has revealed a
large number of sources and addresses issues such as the question about the
origin of cosmic rays. The detection of very high energy emission from
extragalactic sources at large distances has provided insights in the star
formation during the history of the universe and in the understanding of active
galactic nuclei. The development of the very large Cherenkov telescope array
system (CTA) with a sensitivity about an order of magnitude better than current
instruments and significantly improved sensitivity is under intense discussion.
This observatory will reveal an order of magnitude more sources and due to its
higher sensitivity and angular resolution it will be able to detect new classes
of objects and phenomena that have not been visible until now. A combination of
different telescope types will provide the sensitivity needed in different
energy ranges.
| astro-ph | high energy gammaray astronomy is a newly emerging and very successful branch of astronomy and astrophysics exciting results have been obtained by the current generation cherenkov telescope systems such as hess magic veritas and cangaroo the hess survey of the galactic plane has revealed a large number of sources and addresses issues such as the question about the origin of cosmic rays the detection of very high energy emission from extragalactic sources at large distances has provided insights in the star formation during the history of the universe and in the understanding of active galactic nuclei the development of the very large cherenkov telescope array system cta with a sensitivity about an order of magnitude better than current instruments and significantly improved sensitivity is under intense discussion this observatory will reveal an order of magnitude more sources and due to its higher sensitivity and angular resolution it will be able to detect new classes of objects and phenomena that have not been visible until now a combination of different telescope types will provide the sensitivity needed in different energy ranges | [['high', 'energy', 'gammaray', 'astronomy', 'is', 'a', 'newly', 'emerging', 'and', 'very', 'successful', 'branch', 'of', 'astronomy', 'and', 'astrophysics', 'exciting', 'results', 'have', 'been', 'obtained', 'by', 'the', 'current', 'generation', 'cherenkov', 'telescope', 'systems', 'such', 'as', 'hess', 'magic', 'veritas', 'and', 'cangaroo', 'the', 'hess', 'survey', 'of', 'the', 'galactic', 'plane', 'has', 'revealed', 'a', 'large', 'number', 'of', 'sources', 'and', 'addresses', 'issues', 'such', 'as', 'the', 'question', 'about', 'the', 'origin', 'of', 'cosmic', 'rays', 'the', 'detection', 'of', 'very', 'high', 'energy', 'emission', 'from', 'extragalactic', 'sources', 'at', 'large', 'distances', 'has', 'provided', 'insights', 'in', 'the', 'star', 'formation', 'during', 'the', 'history', 'of', 'the', 'universe', 'and', 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-0.035064931182811655] |
709.2049 | Spiral growth, two-dimensional nucleation, and the Ehrlich-Schwoebel
effect | Frank's prediction of the spiral growth mode in 1949 defined a pivotal moment
in the history of crystal growth. In recent decades the topic has received less
attention, and instead we have seen a resurrection of two-dimensional
nucleation theory in the context of growth experiments on defect-free
homoepitaxial thin films. In particular, the key role of interlayer transport
controlled by step edge barriers of the Ehrlich-Schwoebel type in shaping the
morphology of multilayer films has been increasingly recognized. After a brief
review of the classical theory, this paper reports on a recent study of spiral
growth in the presence of step edge barriers. Our key observation is that step
edge barriers lead to unconventionally shaped spiral hillocks that display the
same characteristic ever-steepening height profiles as wedding cakes formed
during growth by two-dimensional nucleation. This prediction was verified
experimentally by inducing screw dislocations through ion bombardment of the
Pt(111) surface, thus creating a homoepitaxial growth system on which spiral
hillocks and wedding cakes coexist.
| cond-mat.mtrl-sci cond-mat.stat-mech | franks prediction of the spiral growth mode in 1949 defined a pivotal moment in the history of crystal growth in recent decades the topic has received less attention and instead we have seen a resurrection of twodimensional nucleation theory in the context of growth experiments on defectfree homoepitaxial thin films in particular the key role of interlayer transport controlled by step edge barriers of the ehrlichschwoebel type in shaping the morphology of multilayer films has been increasingly recognized after a brief review of the classical theory this paper reports on a recent study of spiral growth in the presence of step edge barriers our key observation is that step edge barriers lead to unconventionally shaped spiral hillocks that display the same characteristic eversteepening height profiles as wedding cakes formed during growth by twodimensional nucleation this prediction was verified experimentally by inducing screw dislocations through ion bombardment of the pt111 surface thus creating a homoepitaxial growth system on which spiral hillocks and wedding cakes coexist | [['franks', 'prediction', 'of', 'the', 'spiral', 'growth', 'mode', 'in', '1949', 'defined', 'a', 'pivotal', 'moment', 'in', 'the', 'history', 'of', 'crystal', 'growth', 'in', 'recent', 'decades', 'the', 'topic', 'has', 'received', 'less', 'attention', 'and', 'instead', 'we', 'have', 'seen', 'a', 'resurrection', 'of', 'twodimensional', 'nucleation', 'theory', 'in', 'the', 'context', 'of', 'growth', 'experiments', 'on', 'defectfree', 'homoepitaxial', 'thin', 'films', 'in', 'particular', 'the', 'key', 'role', 'of', 'interlayer', 'transport', 'controlled', 'by', 'step', 'edge', 'barriers', 'of', 'the', 'ehrlichschwoebel', 'type', 'in', 'shaping', 'the', 'morphology', 'of', 'multilayer', 'films', 'has', 'been', 'increasingly', 'recognized', 'after', 'a', 'brief', 'review', 'of', 'the', 'classical', 'theory', 'this', 'paper', 'reports', 'on', 'a', 'recent', 'study', 'of', 'spiral', 'growth', 'in', 'the', 'presence', 'of', 'step', 'edge', 'barriers', 'our', 'key', 'observation', 'is', 'that', 'step', 'edge', 'barriers', 'lead', 'to', 'unconventionally', 'shaped', 'spiral', 'hillocks', 'that', 'display', 'the', 'same', 'characteristic', 'eversteepening', 'height', 'profiles', 'as', 'wedding', 'cakes', 'formed', 'during', 'growth', 'by', 'twodimensional', 'nucleation', 'this', 'prediction', 'was', 'verified', 'experimentally', 'by', 'inducing', 'screw', 'dislocations', 'through', 'ion', 'bombardment', 'of', 'the', 'pt111', 'surface', 'thus', 'creating', 'a', 'homoepitaxial', 'growth', 'system', 'on', 'which', 'spiral', 'hillocks', 'and', 'wedding', 'cakes', 'coexist']] | [-0.13271107872308124, 0.1493533125627169, -0.09119310719532424, -0.027053302726022715, -0.025113679502913558, -0.09119047458495008, 0.015539571006787352, 0.3918601666274338, -0.2561077562512893, -0.28096074673798554, 0.0756014967694353, -0.24108122652567968, -0.17743625548565362, 0.1696725299744724, -0.015442770419508773, 0.0303770854606356, 0.0033207290443060407, -0.08211898898128762, -0.005473083134403487, -0.27462393545654196, 0.2933438697856982, 0.07433942017899654, 0.3553668955238136, 0.04978043175776677, 0.019826274548023024, 0.006791433586561881, 0.019118201341822835, 0.010483554642978895, -0.23379087486731795, 0.09613803135191142, 0.21419736938951023, -0.029351557767092952, 0.2976593956068455, -0.5532149515840357, -0.2503061248846581, -0.011463736315354979, 0.18710693201632952, 0.12615025796187596, -0.16031262932125295, -0.238029412993807, 0.07011042847840881, -0.13110359243482947, -0.14032703651186898, 0.029020884367094543, 0.048894096948663514, -0.002135102599259306, -0.17894420591204432, 0.09120516301785521, 0.09382618540052347, 0.10138339744316574, -0.06223434627918881, -0.07005741672113286, -0.09746821084562575, 0.08894208724256263, 0.045724229808565386, 0.04226220396427335, 0.18634555685945267, -0.1397916675156748, -0.13982900502617282, 0.33829625615381576, -0.03785324999791187, -0.061558689272168315, 0.1623545335355769, -0.17023871577361976, -0.09949153285770694, 0.14071535357228407, 0.15946329171030835, 0.08826565928185827, -0.09189756127280409, 0.050878489090763944, -0.03146655143929954, 0.12845879845279487, 0.15116635032863773, 0.0016546978906619768, 0.2516762505562553, 0.2531771430662873, 0.029981611886467398, 0.13790645347945635, -0.0889444546816882, -0.10300968729239529, -0.20678151739287, -0.1821436439630107, -0.17577547389221881, 0.041247025804959835, -0.04585213907205134, -0.20478553844592962, 0.3970801177566037, 0.05051368111680245, 0.19607902109120157, -0.06793353238008756, 0.20540335047647265, 0.05428017052911805, 0.11449516381771287, -0.0019195886525936836, 0.22759024437196965, 0.13801606508983197, 0.1141466742119519, -0.21701154065678366, 0.1887895750393234, 0.05311373852913274] |
709.205 | Uniform limit laws of the logarithm for nonparametric estimators of the
regression function in presence of censored data | In this paper, we establish uniform-in-bandwidth limit laws of the logarithm
for nonparametric Inverse Probability of Censoring Weighted (I.P.C.W.)
estimators of the multivariate regression function under random censorship. A
similar result is deduced for estimators of the conditional distribution
function. The uniform-in-bandwidth consistency for estimators of the
conditional density and the conditional hazard rate functions are also derived
from our main result. Moreover, the logarithm laws we establish are shown to
yield almost sure simultaneous asymptotic confidence bands for the functions we
consider. Examples of confidence bands obtained from simulated data are
displayed.
| math.ST math.PR stat.ME stat.TH | in this paper we establish uniforminbandwidth limit laws of the logarithm for nonparametric inverse probability of censoring weighted ipcw estimators of the multivariate regression function under random censorship a similar result is deduced for estimators of the conditional distribution function the uniforminbandwidth consistency for estimators of the conditional density and the conditional hazard rate functions are also derived from our main result moreover the logarithm laws we establish are shown to yield almost sure simultaneous asymptotic confidence bands for the functions we consider examples of confidence bands obtained from simulated data are displayed | [['in', 'this', 'paper', 'we', 'establish', 'uniforminbandwidth', 'limit', 'laws', 'of', 'the', 'logarithm', 'for', 'nonparametric', 'inverse', 'probability', 'of', 'censoring', 'weighted', 'ipcw', 'estimators', 'of', 'the', 'multivariate', 'regression', 'function', 'under', 'random', 'censorship', 'a', 'similar', 'result', 'is', 'deduced', 'for', 'estimators', 'of', 'the', 'conditional', 'distribution', 'function', 'the', 'uniforminbandwidth', 'consistency', 'for', 'estimators', 'of', 'the', 'conditional', 'density', 'and', 'the', 'conditional', 'hazard', 'rate', 'functions', 'are', 'also', 'derived', 'from', 'our', 'main', 'result', 'moreover', 'the', 'logarithm', 'laws', 'we', 'establish', 'are', 'shown', 'to', 'yield', 'almost', 'sure', 'simultaneous', 'asymptotic', 'confidence', 'bands', 'for', 'the', 'functions', 'we', 'consider', 'examples', 'of', 'confidence', 'bands', 'obtained', 'from', 'simulated', 'data', 'are', 'displayed']] | [-0.0604334466308659, 0.008501824819098187, -0.12990345600385056, 0.20479335721946604, 0.018378675206685843, -0.10217291617806515, 0.10232724887242986, 0.3739398670504275, -0.24100141159420752, -0.2418437671199765, 0.12136463830930828, -0.2748045514985595, -0.13529123605795854, 0.20282014506190774, -0.12865876359358916, 0.15036281389589218, 0.014823091618777455, -0.009955866768470278, -0.07553153584265838, -0.29017667754543136, 0.32154027358426346, 0.05989381694741061, 0.34797891030978895, -0.0018850230471403136, 0.12346127304962189, 0.0625389767608241, -0.08175348331038233, -0.01952139427885413, -0.17398950964738819, 0.10339539092155578, 0.23700915989668472, 0.15575041702813114, 0.2814080114846508, -0.33127956757949584, -0.18646645281747307, 0.13448614197398495, 0.10705574552032529, 0.03793886624296884, 0.019255974927269246, -0.26593872982725175, 0.07352068770484513, -0.17645054873403, -0.1308671840183113, -0.06299619191913339, -0.034720425504138286, 0.1250102120583229, -0.4058885791177011, 0.18320572963104653, 0.06941972922947531, 0.06160934321055918, -0.07535618547167953, -0.16332123624970732, -0.0020974913090669916, 0.08454530977937595, 0.15014714044240385, -0.05869706619895347, 0.09288690191106466, -0.0934773427560804, -0.09993719951877289, 0.24847517551793513, -0.07780113394888442, -0.19556997076648733, 0.1410500580804301, -0.20740102985671358, -0.17367717396953833, 0.06390171983967656, 0.18192384104527856, 0.10514931549804042, -0.1915316083772189, 0.08922734025438094, -0.06031726573153561, 0.0817965058427628, 0.05374781655289395, 0.030339757436076583, 0.1521204551390838, 0.09632912134680816, 0.12661141799965306, 0.16758873698342105, -0.10463909312333587, -0.06749477024372343, -0.36774261842441297, -0.11223226016306359, -0.23075124632526675, 0.017397139851591022, -0.19059992649920826, -0.21439022034420582, 0.3644003905862084, 0.15430131303551403, 0.19253976588420893, 0.24758929073932054, 0.228119485201719, 0.2450071914366993, -0.012375023121105345, 0.08610510977956912, 0.20485113741344083, 0.18117407341892627, -0.00018755218985935917, -0.10580087384290021, 0.15295788416962908, 0.08571351634632067] |
709.2051 | The perturbative Regge-calculus regime of Loop Quantum Gravity | The relation between Loop Quantum Gravity and Regge calculus has been pointed
out many times in the literature. In particular the large spin asymptotics of
the Barrett-Crane vertex amplitude is known to be related to the Regge action.
In this paper we study a semiclassical regime of Loop Quantum Gravity and show
that it admits an effective description in terms of perturbative
area-Regge-calculus. The regime of interest is identified by a class of states
given by superpositions of four-valent spin networks, peaked on large spins.
As a probe of the dynamics in this regime, we compute explicitly two- and
three-area correlation functions at the vertex amplitude level. We find that
they match with the ones computed perturbatively in area-Regge-calculus with a
single 4-simplex, once a specific perturbative action and measure have been
chosen in the Regge-calculus path integral. Correlations of other geometric
operators and the existence of this regime for other models for the dynamics
are briefly discussed.
| gr-qc hep-th | the relation between loop quantum gravity and regge calculus has been pointed out many times in the literature in particular the large spin asymptotics of the barrettcrane vertex amplitude is known to be related to the regge action in this paper we study a semiclassical regime of loop quantum gravity and show that it admits an effective description in terms of perturbative areareggecalculus the regime of interest is identified by a class of states given by superpositions of fourvalent spin networks peaked on large spins as a probe of the dynamics in this regime we compute explicitly two and threearea correlation functions at the vertex amplitude level we find that they match with the ones computed perturbatively in areareggecalculus with a single 4simplex once a specific perturbative action and measure have been chosen in the reggecalculus path integral correlations of other geometric operators and the existence of this regime for other models for the dynamics are briefly discussed | [['the', 'relation', 'between', 'loop', 'quantum', 'gravity', 'and', 'regge', 'calculus', 'has', 'been', 'pointed', 'out', 'many', 'times', 'in', 'the', 'literature', 'in', 'particular', 'the', 'large', 'spin', 'asymptotics', 'of', 'the', 'barrettcrane', 'vertex', 'amplitude', 'is', 'known', 'to', 'be', 'related', 'to', 'the', 'regge', 'action', 'in', 'this', 'paper', 'we', 'study', 'a', 'semiclassical', 'regime', 'of', 'loop', 'quantum', 'gravity', 'and', 'show', 'that', 'it', 'admits', 'an', 'effective', 'description', 'in', 'terms', 'of', 'perturbative', 'areareggecalculus', 'the', 'regime', 'of', 'interest', 'is', 'identified', 'by', 'a', 'class', 'of', 'states', 'given', 'by', 'superpositions', 'of', 'fourvalent', 'spin', 'networks', 'peaked', 'on', 'large', 'spins', 'as', 'a', 'probe', 'of', 'the', 'dynamics', 'in', 'this', 'regime', 'we', 'compute', 'explicitly', 'two', 'and', 'threearea', 'correlation', 'functions', 'at', 'the', 'vertex', 'amplitude', 'level', 'we', 'find', 'that', 'they', 'match', 'with', 'the', 'ones', 'computed', 'perturbatively', 'in', 'areareggecalculus', 'with', 'a', 'single', '4simplex', 'once', 'a', 'specific', 'perturbative', 'action', 'and', 'measure', 'have', 'been', 'chosen', 'in', 'the', 'reggecalculus', 'path', 'integral', 'correlations', 'of', 'other', 'geometric', 'operators', 'and', 'the', 'existence', 'of', 'this', 'regime', 'for', 'other', 'models', 'for', 'the', 'dynamics', 'are', 'briefly', 'discussed']] | [-0.14311568424586327, 0.15990027820235195, -0.10729572723859981, 0.10135461352390027, -0.021826169515148767, -0.12867436556205633, 0.00848447709239178, 0.34571369263914326, -0.23911503630600148, -0.2566236571405053, 0.07368839221721095, -0.2890677868298465, -0.15631615716603495, 0.17356353650891013, -0.03331465334781716, 0.03578814248284025, 0.04258965693354126, 0.08662037047888002, -0.059160319232802475, -0.1988811145867071, 0.3348166241249513, 0.02631425197656837, 0.24097896513318823, 0.060933668722939344, 0.12065079214592134, 0.011990783712826669, -0.0032476590675932747, 0.04914827912505115, -0.12865709080557985, 0.07711517184319334, 0.2571215677596375, 0.03591452700746876, 0.21752218982024538, -0.40775721601901516, -0.21351871228356276, 0.07986870861777495, 0.15027232691345196, 0.14803397642268287, 0.004338518015649771, -0.25837128454999575, 0.04800808270792327, -0.18102408083035582, -0.14888540114005727, -0.09676552503219535, 0.05473861915449942, -0.033258620903436696, -0.20685815543477093, 0.05278589563770971, 0.03101014837832941, 0.0015046441627125586, -0.0016679794880591573, -0.07977740176251127, -0.011591065960425523, 0.1320930400367586, 0.05101125852895841, 0.06178771052678536, 0.08293944112656097, -0.17566665371789808, -0.1575351437583806, 0.3488690264342773, -0.08016446212967557, -0.21859332780624108, 0.14641173385954911, -0.20887750147451317, -0.16362749613040398, 0.07528932531093878, 0.1164517312851404, 0.1526363041852751, -0.1665192444298056, 0.14513982700056308, -0.030527273700722765, 0.09949393053088457, 0.07555575092293082, 0.09625487676671436, 0.22674725572564527, 0.12302264106880513, 0.02637053959845235, 0.14119930943293918, -0.06948087689346603, -0.1568807700618861, -0.3442331899768643, -0.0978389611332527, -0.1595109559325201, 0.05033789192055983, -0.08610338455379656, -0.1668708653482158, 0.40597284336484246, 0.1270249512933773, 0.19839830593836885, 0.06420512208564867, 0.22475909817843667, 0.1788672914420585, 0.07548296873142282, 0.06660234555001221, 0.2661298450743479, 0.14011544173343046, 0.052477615191451006, -0.25838791680552303, 0.0033955436259988816, 0.08924038925268236] |
709.2052 | Recent progress of GaAsP HPD development for the MAGIC telescope project | Today the Hybrid Photon Detector (HPD) is one of the few low light level
(LLL) sensors that can provide an excellent single and multiple photoelectron
(ph.e.) amplitude resolution. The recently developed HPDs for the MAGIC
telescope project with a GaAsP photocathode, namely the R9792U-40, provide a
peak quantum efficiency (QE) of more than 50% and a pulse width of ~2 nsec. In
addition, the afterpulsing rate of these tubes is very low compared to that of
conventional photomultiplier tubes (PMTs), i.e. the value is ~300 times lower.
Photocathode aging measurements showed life time of more than 10 years under
standard operating conditions of the Cherenkov Telescopes. Here we want to
report on the recent progress with the above mentioned HPDs.
| astro-ph | today the hybrid photon detector hpd is one of the few low light level lll sensors that can provide an excellent single and multiple photoelectron phe amplitude resolution the recently developed hpds for the magic telescope project with a gaasp photocathode namely the r9792u40 provide a peak quantum efficiency qe of more than 50 and a pulse width of 2 nsec in addition the afterpulsing rate of these tubes is very low compared to that of conventional photomultiplier tubes pmts ie the value is 300 times lower photocathode aging measurements showed life time of more than 10 years under standard operating conditions of the cherenkov telescopes here we want to report on the recent progress with the above mentioned hpds | [['today', 'the', 'hybrid', 'photon', 'detector', 'hpd', 'is', 'one', 'of', 'the', 'few', 'low', 'light', 'level', 'lll', 'sensors', 'that', 'can', 'provide', 'an', 'excellent', 'single', 'and', 'multiple', 'photoelectron', 'phe', 'amplitude', 'resolution', 'the', 'recently', 'developed', 'hpds', 'for', 'the', 'magic', 'telescope', 'project', 'with', 'a', 'gaasp', 'photocathode', 'namely', 'the', 'r9792u40', 'provide', 'a', 'peak', 'quantum', 'efficiency', 'qe', 'of', 'more', 'than', '50', 'and', 'a', 'pulse', 'width', 'of', '2', 'nsec', 'in', 'addition', 'the', 'afterpulsing', 'rate', 'of', 'these', 'tubes', 'is', 'very', 'low', 'compared', 'to', 'that', 'of', 'conventional', 'photomultiplier', 'tubes', 'pmts', 'ie', 'the', 'value', 'is', '300', 'times', 'lower', 'photocathode', 'aging', 'measurements', 'showed', 'life', 'time', 'of', 'more', 'than', '10', 'years', 'under', 'standard', 'operating', 'conditions', 'of', 'the', 'cherenkov', 'telescopes', 'here', 'we', 'want', 'to', 'report', 'on', 'the', 'recent', 'progress', 'with', 'the', 'above', 'mentioned', 'hpds']] | [-0.07805944540111037, 0.19121900878053566, -0.05098651439572374, 0.042622444030954894, -0.004191264337471997, -0.16755572957529996, 0.04222226144047454, 0.4149230095868309, -0.14458905985423673, -0.3760802725329995, 0.11519628114862522, -0.32250528799874395, -0.038779166977716766, 0.26883936479959325, -0.06912828243609208, 0.06958309459732845, 0.11273983311839401, 0.010380336976474306, -0.0766908830065707, -0.2539094356742377, 0.18666722659642498, 0.16629112517596997, 0.3150867958824771, 0.06544041355130806, 0.14189956807531418, -0.04015623601929595, 0.01337391318520531, -0.04528953170229215, -0.08723802613543133, 0.07857586108342124, 0.24383590513219436, 0.0842819679089492, 0.21931441660077933, -0.4517610669834539, -0.18749075044082322, 0.05614584269933402, 0.09608630228710051, 0.01819666367567455, -0.05356205375307278, -0.23947264516027644, 0.11778866708821928, -0.16691135004512034, -0.10829940246379313, 0.04773019481120476, -0.0025097329014291364, 0.008654918312095106, -0.18052046720792228, 0.018928721884731204, -0.011171868057378258, 0.06484123742848169, -0.003371384600177407, -0.16185025738474604, 0.04860340924448489, 0.04083996234694496, -0.002646458880432571, 0.039723310387974685, 0.16267576527316124, -0.1529352603130974, -0.09945840605845054, 0.3212296923839555, -0.08263880449934126, -0.0656635053785673, 0.1690091080032289, -0.20439927113087228, -0.04814560547626267, 0.21722238337485275, 0.12187031459567758, 0.12049043195632597, -0.15518022829201072, 0.0016677163264830596, 0.01483564789717396, 0.24158228060696274, 0.12344038104832483, 0.09358564539967726, 0.16574718598276378, 0.25274240392415476, 0.0877242176560685, 0.11011821274490406, -0.23781220596865751, -0.012325110092448691, -0.26034841475241893, -0.16647946077670592, -0.13158030649647118, 0.09891710488397318, -0.03371297911871807, -0.10577139303398629, 0.4159390362367655, 0.12258466586548214, 0.14272858335946997, 0.04485222193179652, 0.31275343828213714, 0.09176294017330898, 0.10210688410249229, 0.003510073929404219, 0.30298702328388266, 0.1257424147101119, 0.14821145644333836, -0.1707508512578594, 0.018852297609555535, -0.038547787233255804] |
709.2053 | Correlated flares in models of a magnetized "canopy" | A model of the Lu-Hamilton kind is applied to the study of critical behavior
of the magnetized solar atmosphere. The main novelty is that its driving is
done via sources undergoing a diffusion. This mimics the effect of a virtual
turbulent substrate forcing the system. The system exhibits power-law
statistics not only in the size of the flares, but also in the distribution of
the waiting times.
| astro-ph cond-mat.stat-mech physics.plasm-ph | a model of the luhamilton kind is applied to the study of critical behavior of the magnetized solar atmosphere the main novelty is that its driving is done via sources undergoing a diffusion this mimics the effect of a virtual turbulent substrate forcing the system the system exhibits powerlaw statistics not only in the size of the flares but also in the distribution of the waiting times | [['a', 'model', 'of', 'the', 'luhamilton', 'kind', 'is', 'applied', 'to', 'the', 'study', 'of', 'critical', 'behavior', 'of', 'the', 'magnetized', 'solar', 'atmosphere', 'the', 'main', 'novelty', 'is', 'that', 'its', 'driving', 'is', 'done', 'via', 'sources', 'undergoing', 'a', 'diffusion', 'this', 'mimics', 'the', 'effect', 'of', 'a', 'virtual', 'turbulent', 'substrate', 'forcing', 'the', 'system', 'the', 'system', 'exhibits', 'powerlaw', 'statistics', 'not', 'only', 'in', 'the', 'size', 'of', 'the', 'flares', 'but', 'also', 'in', 'the', 'distribution', 'of', 'the', 'waiting', 'times']] | [-0.17120085731783713, 0.1720986096470645, -0.11264118827371435, 0.06698966434112552, -0.006245573513407373, -0.0673022133608659, 0.04016975203359669, 0.31451017482939997, -0.25476897167832113, -0.28301481072875584, 0.059898758995008065, -0.25687303563410585, -0.13215057303508124, 0.2166578144956888, -0.042421636559690036, 0.009559284788944447, 0.045853201003575865, 0.04155337241139601, 0.007668731399021592, -0.19100286843339828, 0.32820265673481946, 0.08338627189567144, 0.27240282631916646, 0.017473260251184303, 0.09134773965078322, -0.06454871395941485, 0.006426614934973644, -0.005384248658436153, -0.06687741839932367, 0.04139391301820675, 0.1129213674840602, 0.06153537402155273, 0.2693795889446681, -0.406354711320477, -0.25540295912122185, 0.08927818121755439, 0.14432170493951577, 0.061775525735521856, -0.024413424290039322, -0.2234474690736864, 0.05419253263530801, -0.15937176073026477, -0.1720216368804827, 0.058613212652165785, 0.03767393974615543, 0.04761121561045222, -0.26715130171258794, 0.0912354869276786, 0.11041464684813311, 0.05408286141005881, -0.07186337744386753, -0.03524278458137291, -0.026731450491669504, 0.14958964996604304, 0.1030458701425232, 0.01716606907024415, 0.18347417048855938, -0.15550008873017787, -0.05771079998124729, 0.42600935539512924, -0.07969174750685466, -0.1558694006367163, 0.19043451769164566, -0.20847035353213098, -0.10681652576860154, 0.16870262765918265, 0.17058276085916793, 0.10714070292923486, -0.1681621087376367, 0.0582787580929245, -0.027200457682325083, 0.18727938393413118, -0.019384294427282206, -0.022439511006020686, 0.19794457445316244, 0.24468042106000762, 0.0313559391422931, 0.18127326294779778, -0.132651612069105, -0.1091724977066571, -0.29065396039831365, -0.1560300065797161, -0.22235319612434867, 0.06324040974427728, -0.0702178421091627, -0.21539940144849065, 0.42981978683647787, 0.17769045899198813, 0.18161481275632413, 0.004520803633512873, 0.29617174320402695, 0.15253063138913026, 0.06634752781864142, 0.08450745371396118, 0.24752979777809797, 0.11730281138002421, 0.1708398155698722, -0.2516162790583842, 0.13226053985117964, 0.029431655960665506] |
709.2054 | Spin polarization in biased Rashba-Dresselhaus two-dimensional electron
systems | Based on spin-charge coupled drift-diffusion equations, which are derived
from kinetic equations for the spin-density matrix in a rigorous manner, the
electric-field-induced nonequilibrium spin polarization is treated for a
two-dimensional electron gas with both Rashba and Dresselhaus spin-orbit
coupling. Most emphasis is put on the consideration of the field-mediated spin
dynamics for a model with equal Rashba and Dresselhaus coupling constants, in
which the spin relaxation is strongly suppressed. Weakly damped
electric-field-induced spin excitations are identified, which remind of
space-charge waves in crystals.
| cond-mat.other cond-mat.dis-nn | based on spincharge coupled driftdiffusion equations which are derived from kinetic equations for the spindensity matrix in a rigorous manner the electricfieldinduced nonequilibrium spin polarization is treated for a twodimensional electron gas with both rashba and dresselhaus spinorbit coupling most emphasis is put on the consideration of the fieldmediated spin dynamics for a model with equal rashba and dresselhaus coupling constants in which the spin relaxation is strongly suppressed weakly damped electricfieldinduced spin excitations are identified which remind of spacecharge waves in crystals | [['based', 'on', 'spincharge', 'coupled', 'driftdiffusion', 'equations', 'which', 'are', 'derived', 'from', 'kinetic', 'equations', 'for', 'the', 'spindensity', 'matrix', 'in', 'a', 'rigorous', 'manner', 'the', 'electricfieldinduced', 'nonequilibrium', 'spin', 'polarization', 'is', 'treated', 'for', 'a', 'twodimensional', 'electron', 'gas', 'with', 'both', 'rashba', 'and', 'dresselhaus', 'spinorbit', 'coupling', 'most', 'emphasis', 'is', 'put', 'on', 'the', 'consideration', 'of', 'the', 'fieldmediated', 'spin', 'dynamics', 'for', 'a', 'model', 'with', 'equal', 'rashba', 'and', 'dresselhaus', 'coupling', 'constants', 'in', 'which', 'the', 'spin', 'relaxation', 'is', 'strongly', 'suppressed', 'weakly', 'damped', 'electricfieldinduced', 'spin', 'excitations', 'are', 'identified', 'which', 'remind', 'of', 'spacecharge', 'waves', 'in', 'crystals']] | [-0.23146309115904065, 0.23632481281940892, 0.014741508642256988, 0.02878931455353911, -0.07899893604491542, -0.22128555083806375, -0.05861151841946128, 0.33600659524204163, -0.23691155476120823, -0.20530622631947443, -0.03860837762192937, -0.277762868745102, -0.08774779282692002, 0.19533494041903263, 0.12623720541142108, 0.0008483781357204951, -0.05155852829708105, -0.0818595504615365, -0.10847133527532583, -0.179591256909345, 0.2842270057852857, -0.016159051147618946, 0.2822325515572163, 0.08125762082636356, 0.09637396598075766, 0.03443308935000947, 0.10940683055378031, 0.003618414036747886, -0.14135283456615558, 0.03104373042914653, 0.24783022626780155, -0.15865401634037857, 0.16812667633951983, -0.5013985870769475, -0.19742678230764663, -0.07623824145554042, 0.14454547225259154, 0.21432046536725333, -0.04576795963746518, -0.3139279917075594, -0.06744285487206425, -0.19198347473653352, -0.10228047030977905, -0.07969656724925721, 0.0033442100464570815, 0.01783568857283127, -0.29646746664330725, 0.15202419161399053, 0.10813454842967231, 0.039769480254773684, -0.08977384549258959, -0.12437443377268387, -0.10698881081487166, -0.0403970630396521, 0.0794634541749341, 0.027520560176770497, 0.1586729616165252, -0.11347480426349382, -0.10401537553293676, 0.39605657541670086, -0.12142268949892462, -0.29030968652606554, 0.15292571099452312, -0.18424277369887, -0.07317897376445372, 0.16485749859726284, 0.17167369858148826, 0.10334552596209616, -0.19529017754376116, 0.12898189239289112, -0.018875446965599934, 0.14931928189244212, -0.011143932993546492, 0.09675339480191923, 0.29456848572803346, 0.193280279721565, 0.043392817046856734, 0.06453077104396937, -0.06634799417153728, -0.1141007772601414, -0.217954971259687, -0.11164735630722489, -0.24084900821581845, 0.11717890599379088, -0.0326267015469323, -0.16621052737279637, 0.3950837346180001, 0.1367169717531197, 0.10042198640635101, -0.031612548393640305, 0.23579674314639373, 0.19365070129335835, 0.042226459399410866, 0.0051092348152362715, 0.32201432324264473, 0.2783774922377566, 0.0531574300342671, -0.39707808361513675, 0.046410956079276595, 0.07095219344241409] |
709.2055 | Sur une g\'en\'eralisation de la notion de syst\`eme dynamique de rang
un d\'efinie par une propri\'et\'e de pistage (On a weak version of the rank
one property defined by shadowing) | We investigate a shadowing property which appears naturally in the study of
piecewise monotonic maps of the interval. It turns out to be a weak form of the
rank one property, a well-known notion in abstract ergodic theory. We show that
this new property is implied by finite or even local rank, but that it is
logically independent of loose Bernoulliness. We give (counter)examples,
including L.B. systems with arbitrarily high-order polynomial complexity. The
shadowing property defines a small subset of all zero-entropy systems, in the
sense that it defines a closed set with empty interior with respect to the
$\db$-metric, induced by the Hamming distance. We also make some remarks on the
link between the shadowed system and the sequence assumed by the shadowing
property.
| math.DS | we investigate a shadowing property which appears naturally in the study of piecewise monotonic maps of the interval it turns out to be a weak form of the rank one property a wellknown notion in abstract ergodic theory we show that this new property is implied by finite or even local rank but that it is logically independent of loose bernoulliness we give counterexamples including lb systems with arbitrarily highorder polynomial complexity the shadowing property defines a small subset of all zeroentropy systems in the sense that it defines a closed set with empty interior with respect to the dbmetric induced by the hamming distance we also make some remarks on the link between the shadowed system and the sequence assumed by the shadowing property | [['we', 'investigate', 'a', 'shadowing', 'property', 'which', 'appears', 'naturally', 'in', 'the', 'study', 'of', 'piecewise', 'monotonic', 'maps', 'of', 'the', 'interval', 'it', 'turns', 'out', 'to', 'be', 'a', 'weak', 'form', 'of', 'the', 'rank', 'one', 'property', 'a', 'wellknown', 'notion', 'in', 'abstract', 'ergodic', 'theory', 'we', 'show', 'that', 'this', 'new', 'property', 'is', 'implied', 'by', 'finite', 'or', 'even', 'local', 'rank', 'but', 'that', 'it', 'is', 'logically', 'independent', 'of', 'loose', 'bernoulliness', 'we', 'give', 'counterexamples', 'including', 'lb', 'systems', 'with', 'arbitrarily', 'highorder', 'polynomial', 'complexity', 'the', 'shadowing', 'property', 'defines', 'a', 'small', 'subset', 'of', 'all', 'zeroentropy', 'systems', 'in', 'the', 'sense', 'that', 'it', 'defines', 'a', 'closed', 'set', 'with', 'empty', 'interior', 'with', 'respect', 'to', 'the', 'dbmetric', 'induced', 'by', 'the', 'hamming', 'distance', 'we', 'also', 'make', 'some', 'remarks', 'on', 'the', 'link', 'between', 'the', 'shadowed', 'system', 'and', 'the', 'sequence', 'assumed', 'by', 'the', 'shadowing', 'property']] | [-0.17370113403521237, 0.11682152865848285, -0.11316599309202133, 0.09521463541105783, -0.053358819892221104, -0.13911439578154888, 0.0490620429665456, 0.36986959874970704, -0.34667588858221604, -0.1863492764631945, 0.10334531654796858, -0.25065666634203276, -0.1682571070325538, 0.15280590454169465, -0.09981305696253809, 0.01833939060996612, 0.054334295302160024, 0.08369459371400498, -0.07687688014295892, -0.25172894270674184, 0.36718359449121163, 0.0031653489099770058, 0.22221085484465206, 0.0615911865133671, 0.1310767386244928, 0.01013904938103283, -0.025280178675988342, 0.09902550720674085, -0.1282991527728675, 0.10195384223990869, 0.19960226978712936, 0.1243171598785344, 0.27906410691396494, -0.34056811919814445, -0.19459112445498264, 0.1523680582451369, 0.07648276954669718, 0.04179921088554722, -0.010751854108714657, -0.2539150285718175, 0.15168141754253245, -0.16784752919944382, -0.17322859891909895, -0.05359810581149219, 0.01877320543257141, 0.035539786465753745, -0.26114231451013226, 0.009535316042119364, 0.14712653639991352, 0.04494891191143694, -0.00612056462616637, -0.05728724500736055, -0.00568646011586354, 0.07651423551407226, 0.03827620310163716, 0.044885597784238736, 0.06238576738406124, -0.053234771803604454, -0.05221123389930018, 0.3873099298594989, -0.054644551215933757, -0.25077639060375106, 0.20739770766699733, -0.16336220011069644, -0.15633094739320316, 0.1302719050412619, 0.09929441862807768, 0.0845093283924365, -0.13607952696823977, 0.13341347285408178, -0.11134700482423471, 0.15768188942314648, 0.08307601237381862, 0.07867740437661003, 0.16145881269944878, 0.08902221360069708, 0.15061683047229682, 0.17461775424151976, 0.004846593537330021, -0.11725737963144373, -0.3186037366011566, -0.13079833803410695, -0.15375640490982015, 0.07197820980904426, -0.10434538472457543, -0.21355152025637103, 0.33041697151947585, 0.09653647317422356, 0.21539410729244224, 0.09487141988796705, 0.2577511058984006, 0.11059733012578038, 0.058882867262463987, 0.11287292752157503, 0.18084503801248974, 0.1521158500828182, 0.008644975362178998, -0.1694306255000212, 0.1039156804345851, 0.12085164314120765] |
709.2056 | Vanishing Viscosity Limits and Boundary Layers for Circularly Symmetric
2D Flows | We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [LMN],
on the vanishing viscosity limit of circularly symmetric viscous flow in a disk
with rotating boundary, shown there to converge to the inviscid limit in
$L^2$-norm as long as the prescribed angular velocity $\alpha(t)$ of the
boundary has bounded total variation. Here we establish convergence in stronger
$L^2$ and $L^p$-Sobolev spaces, allow for more singular angular velocities
$\alpha$, and address the issue of analyzing the behavior of the boundary
layer. This includes an analysis of concentration of vorticity in the vanishing
viscosity limit. We also consider such flows on an annulus, whose two boundary
components rotate independently.
[LMN] Lopes Filho, M. C., Mazzucato, A. L. and Nussenzveig Lopes, H. J.,
Vanishing viscosity limit for incompressible flow inside a rotating circle,
preprint 2006.
| math.AP | we continue the work of lopes filho mazzucato and nussenzveig lopes lmn on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary shown there to converge to the inviscid limit in l2norm as long as the prescribed angular velocity alphat of the boundary has bounded total variation here we establish convergence in stronger l2 and lpsobolev spaces allow for more singular angular velocities alpha and address the issue of analyzing the behavior of the boundary layer this includes an analysis of concentration of vorticity in the vanishing viscosity limit we also consider such flows on an annulus whose two boundary components rotate independently lmn lopes filho m c mazzucato a l and nussenzveig lopes h j vanishing viscosity limit for incompressible flow inside a rotating circle preprint 2006 | [['we', 'continue', 'the', 'work', 'of', 'lopes', 'filho', 'mazzucato', 'and', 'nussenzveig', 'lopes', 'lmn', 'on', 'the', 'vanishing', 'viscosity', 'limit', 'of', 'circularly', 'symmetric', 'viscous', 'flow', 'in', 'a', 'disk', 'with', 'rotating', 'boundary', 'shown', 'there', 'to', 'converge', 'to', 'the', 'inviscid', 'limit', 'in', 'l2norm', 'as', 'long', 'as', 'the', 'prescribed', 'angular', 'velocity', 'alphat', 'of', 'the', 'boundary', 'has', 'bounded', 'total', 'variation', 'here', 'we', 'establish', 'convergence', 'in', 'stronger', 'l2', 'and', 'lpsobolev', 'spaces', 'allow', 'for', 'more', 'singular', 'angular', 'velocities', 'alpha', 'and', 'address', 'the', 'issue', 'of', 'analyzing', 'the', 'behavior', 'of', 'the', 'boundary', 'layer', 'this', 'includes', 'an', 'analysis', 'of', 'concentration', 'of', 'vorticity', 'in', 'the', 'vanishing', 'viscosity', 'limit', 'we', 'also', 'consider', 'such', 'flows', 'on', 'an', 'annulus', 'whose', 'two', 'boundary', 'components', 'rotate', 'independently', 'lmn', 'lopes', 'filho', 'm', 'c', 'mazzucato', 'a', 'l', 'and', 'nussenzveig', 'lopes', 'h', 'j', 'vanishing', 'viscosity', 'limit', 'for', 'incompressible', 'flow', 'inside', 'a', 'rotating', 'circle', 'preprint', '2006']] | [-0.20448527173243408, 0.13735917865132752, -0.05787292752526144, -0.006447348337961055, -0.051160855531525704, -0.12941388390722003, -0.026491214385266595, 0.30455825557765454, -0.23634470807503102, -0.21987762566266664, 0.110038999977188, -0.2805211893074326, -0.04478621946599112, 0.1483801291932338, -0.09694894521372087, 0.10642257694210579, 0.04453022428093228, -0.022647054666138963, -0.05037194712316868, -0.2011153828022557, 0.30709827762208325, 0.03234287741448063, 0.2369112320300348, 0.05002447991256616, 0.08796063922658395, -0.019559501790191367, -0.05971604458111992, 0.04712470034276372, -0.24252809300573905, 0.03530829418242089, 0.18801098689089404, -0.011281832086561775, 0.224215718024452, -0.3773143356804972, -0.19173144907238823, 0.07893466713157163, 0.14996091545378762, 0.02077114897599416, 0.016763651242576116, -0.25439770779495974, 0.08383392619573747, -0.16697189975060772, -0.20697928193623005, -0.008182921008999222, 0.10953929743715632, 0.05549341016414283, -0.25080472654871533, 0.11024992977883215, 0.15153655224938445, 0.09029852107441776, -0.08947356360783773, -0.11937484710908203, -0.07532551944770141, 0.08155847902395832, 0.10541423191855064, 0.08005733184391327, 0.09191882850449365, -0.09231718336822771, -0.010995122520670073, 0.30579843983200117, -0.14260363034598195, -0.2553181760152107, 0.16623459830046144, -0.18247502165457316, -0.09028441551377747, 0.09844006758197141, 0.1569748690435246, 0.1449207198430798, -0.07442367831835829, 0.14539275407867588, -0.10761266212507303, 0.12206899639437976, 0.17986160690493103, -0.05458029023538441, 0.1639967542558686, 0.1159864361788869, 0.1509200861106202, 0.12106510050900614, -0.12840150211906884, -0.035249288209085, -0.32254911567181793, -0.16924014279563257, -0.1860675079932214, 0.12495385519830066, -0.09025449466278235, -0.1737449805349122, 0.2983784641055807, 0.08430888601787277, 0.21331918884373666, 0.06474565685059486, 0.25833872338034103, 0.08169612459970443, -0.025358181981084898, 0.17029276299776872, 0.25034291505702394, 0.2245073541373348, 0.18943959745620167, -0.22553205416788027, -0.01937704389817568, 0.1507599806284259] |
709.2057 | Global rigidity in CR geometry: the Schoen-Webster theorem | Schoen-Webster theorem asserts a pseudoconvex CR manifold whose automorphism
group acts non properly is either the standard sphere or the Heisenberg space.
The purpose of this paper is to survey successive works around this result and
then provide a short geometric proof in the compact case.
| math.DG | schoenwebster theorem asserts a pseudoconvex cr manifold whose automorphism group acts non properly is either the standard sphere or the heisenberg space the purpose of this paper is to survey successive works around this result and then provide a short geometric proof in the compact case | [['schoenwebster', 'theorem', 'asserts', 'a', 'pseudoconvex', 'cr', 'manifold', 'whose', 'automorphism', 'group', 'acts', 'non', 'properly', 'is', 'either', 'the', 'standard', 'sphere', 'or', 'the', 'heisenberg', 'space', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'survey', 'successive', 'works', 'around', 'this', 'result', 'and', 'then', 'provide', 'a', 'short', 'geometric', 'proof', 'in', 'the', 'compact', 'case']] | [-0.1691293759892384, 0.06580143592630823, -0.1222817621504267, 0.06017451487067673, -0.161278450778789, -0.11760497331205341, 0.00275968325117396, 0.34645287328296237, -0.27771103291047944, -0.21549128846575816, 0.1286720825281615, -0.25959749095555806, -0.14556337179512613, 0.1981248665135354, -0.1501125290989876, -0.0923834661125309, 0.0715120548175441, 0.09113304545236234, -0.09487414848473337, -0.27001488730311396, 0.40683942714499105, -0.007718325782722483, 0.2227202707901597, 0.07983711671549827, 0.08151905294507741, 0.06555852916919523, -0.012624595231480068, -0.01643387247976433, -0.13099550210560362, 0.10367220751941204, 0.24817126901923783, 0.056573103533850776, 0.24356368833945857, -0.37169627522428833, -0.19389175799571806, 0.1967031794703669, 0.1257315368288093, 0.042746032381223306, -0.017114912252873184, -0.30873100860561764, 0.10025556109224756, -0.12549052226046722, -0.2165257030684087, 0.017983725894656445, -0.028846327256825236, -0.032935376899937786, -0.21513695783085293, 0.013181866312192547, 0.251597402865688, 0.09515640194941725, -0.04873038051236007, -0.02779038491555386, 0.007065897942003276, 0.08781910820657181, 0.010072754551139143, 0.14764046784904267, 0.11415839936170313, 0.05163902264709274, -0.0662261328763432, 0.39170202256904707, -0.0781465354685982, -0.24055657436450323, 0.159006531495187, -0.1473181785756929, -0.17533639926049444, 0.09541722915083584, 0.13109419036449657, 0.1849656607541773, -0.10383315059459872, 0.19702844273997472, -0.09432496329666012, 0.13228992666635248, 0.03323701961586873, -0.025848931446671487, 0.13905854576991664, 0.15257093634249436, 0.16716811819415953, 0.12003604240922464, -0.01004300376193391, -0.06257967496704724, -0.3450343910190794, -0.20544099304825067, -0.22205156224469344, 0.1368987687759929, -0.06684011602741925, -0.1837765475942029, 0.35319432760071423, -0.01902487739506695, 0.15979005872892837, 0.09814850488781102, 0.29074733737442227, 0.036837530337894955, 0.00482620167442494, 0.09588602121091551, 0.15694490182730886, 0.19259830171035397, 0.014885309824926985, -0.09676211673714634, -0.052509175644566614, 0.20266531387137043] |
709.2058 | Possible nature of $Z^+(4430)$ | We discuss exotic states X(3872) and $Z^+(4430)$, observed recently in
experiment Belle. The QCD-string based explanation is suggested.
| hep-ph | we discuss exotic states x3872 and z4430 observed recently in experiment belle the qcdstring based explanation is suggested | [['we', 'discuss', 'exotic', 'states', 'x3872', 'and', 'z4430', 'observed', 'recently', 'in', 'experiment', 'belle', 'the', 'qcdstring', 'based', 'explanation', 'is', 'suggested']] | [-0.11873411987390783, 0.1864405428059399, -0.18360499013215303, 0.2735781595434269, -0.17879492059970895, -0.2097410350624058, 0.12066915207025078, 0.3063741595380836, -0.018622349999431107, -0.27072287826902336, -0.10023583477595821, -0.33919164647037786, -0.17332527336354056, 0.048504401826196246, 0.05938756429693765, 0.2282579236974319, 0.11695799968179522, -0.021441362591253385, 0.03483616483087341, -0.14152533628253472, 0.26262298226356506, 0.06454300859736072, 0.26082788594067097, 0.17829214300339422, 0.009273333268033134, -0.10599451302550733, -0.007916098977956507, -0.10336894997292095, -0.15871178038004372, 0.019073708121949393, 0.2390051893889904, 0.20907802362408903, 0.06056242354679853, -0.3752766032185819, -0.09466794541933471, 0.15551350705532563, 0.1492466209973726, 0.13320995598203605, -0.11232905612430638, -0.5344124658861094, 0.1089052710061272, -0.23499956199278435, -0.18390226953973374, -0.09478053228101796, 0.09251641896035936, -0.1419606108425392, -0.23606174397799704, 0.05400602620405456, -0.08979598215470712, 0.06657274527889159, -0.0877407461585891, -0.34957031201985145, 0.06290838761358625, -0.20069983531720936, 0.045270235833918884, 0.06039353157393634, 0.17980935890227556, -0.05842410015045769, -0.35409221415304476, 0.3053152380097244, -0.025315099499291845, -0.018399032453695934, 0.13843422860372812, -0.22010247223079205, -0.1676016535816921, 0.035408034920692444, 0.02559543639007542, -0.050563181646996073, -0.12864984701284105, 0.08190219766240464, -0.15360648500629598, 0.1251008352264762, 0.0731967275755273, 0.15821193168974584, 0.19990516785118315, 0.31887746860997546, -0.08987273138740824, 0.10604371218424705, -0.0656534745875332, -0.09399969746462172, -0.34132113742331666, -0.20053310464653704, -0.15456096517542997, 0.07980959616704947, 0.2023351752569498, -0.00447050461338626, 0.2978592263534665, 0.03524205150703589, 0.3888029203646713, -0.2054441606030903, 0.2012240340312322, 0.06495328340679407, 0.02663347078487277, 0.04570261365734041, 0.3823270207891862, 0.20326903565890259, 0.11879953400542338, -0.2900717242155224, 0.10975234934853183, 0.0023447941057384014] |
709.2059 | Ferromagnetism in 2p Light Element-Doped II-oxide and III-nitride
Semiconductors | II-oxide and III-nitride semiconductors doped by nonmagnetic 2p light
elements are investigated as potential dilute magnetic semiconductors (DMS).
Based on our first-principle calculations, nitrogen doped ZnO, carbon doped
ZnO, and carbon doped AlN are predicted to be ferromagnetic. The ferromagnetism
of such DMS materials can be attributed to a p-d exchange-like p-p coupling
interaction which is derived from the similar symmetry and wave function
between the impurity (p-like t_2) and valence (p) states. We also propose a
co-doping mechanism, using beryllium and nitrogen as dopants in ZnO, to enhance
the ferromagnetic coupling and to increase the solubility and activity.
| cond-mat.mtrl-sci | iioxide and iiinitride semiconductors doped by nonmagnetic 2p light elements are investigated as potential dilute magnetic semiconductors dms based on our firstprinciple calculations nitrogen doped zno carbon doped zno and carbon doped aln are predicted to be ferromagnetic the ferromagnetism of such dms materials can be attributed to a pd exchangelike pp coupling interaction which is derived from the similar symmetry and wave function between the impurity plike t_2 and valence p states we also propose a codoping mechanism using beryllium and nitrogen as dopants in zno to enhance the ferromagnetic coupling and to increase the solubility and activity | [['iioxide', 'and', 'iiinitride', 'semiconductors', 'doped', 'by', 'nonmagnetic', '2p', 'light', 'elements', 'are', 'investigated', 'as', 'potential', 'dilute', 'magnetic', 'semiconductors', 'dms', 'based', 'on', 'our', 'firstprinciple', 'calculations', 'nitrogen', 'doped', 'zno', 'carbon', 'doped', 'zno', 'and', 'carbon', 'doped', 'aln', 'are', 'predicted', 'to', 'be', 'ferromagnetic', 'the', 'ferromagnetism', 'of', 'such', 'dms', 'materials', 'can', 'be', 'attributed', 'to', 'a', 'pd', 'exchangelike', 'pp', 'coupling', 'interaction', 'which', 'is', 'derived', 'from', 'the', 'similar', 'symmetry', 'and', 'wave', 'function', 'between', 'the', 'impurity', 'plike', 't_2', 'and', 'valence', 'p', 'states', 'we', 'also', 'propose', 'a', 'codoping', 'mechanism', 'using', 'beryllium', 'and', 'nitrogen', 'as', 'dopants', 'in', 'zno', 'to', 'enhance', 'the', 'ferromagnetic', 'coupling', 'and', 'to', 'increase', 'the', 'solubility', 'and', 'activity']] | [-0.039302667408079216, 0.24249386679077026, 0.050808598893238424, 0.04307103725934249, 0.05382073716241486, -0.22080911037379078, 0.1337377656802383, 0.4878561908678551, -0.25128844562841923, -0.3041092308311799, -0.07462950169740777, -0.4153279105809574, -0.08231882833191478, 0.10101048235914536, 0.06508282810088475, 0.0029458389522469776, -0.04285137334182782, -0.13254767105135382, -0.11721473832481674, -0.2059955347747523, 0.20605730734841557, 0.025628524205210258, 0.31435962298846976, 0.16171365029805776, -0.06821038758819353, -0.001553573384310822, 0.24729536717510497, 0.01756248811297879, -0.10933713259992703, 0.098518184530525, 0.3128264557352831, -0.17986310254877472, 0.14418188492026257, -0.4886662845442794, -0.2182823001901258, -0.03306085050904325, 0.13583035859735493, 0.15563521697067143, -0.17750592333293158, -0.30499651458836635, 0.08329394856486849, -0.13025623966217498, -0.0628741210236271, -0.06804917310839709, -0.016314550578518182, 0.031804426492438934, -0.2854522237915318, 0.03446114180598893, 0.05026482881940141, 0.07043884541744032, -0.15928458838904164, -0.19072148404369244, -0.1902821358478609, 0.007836840928019005, 0.060809435833682667, 0.05494078678288022, 0.24657630054779084, -0.004142306621509547, -0.09945830358287358, 0.3993847641751778, -0.07516420380525975, -0.05267191584203012, 0.16689983505888709, -0.15696414628503275, -0.039293721679370015, 0.1600687670977596, 0.12155753320881299, 0.13972537846741628, -0.14196414507127234, 0.09232428296984706, 0.019147921667335678, 0.20827037654817104, 0.05674927261639006, 0.13910082008865454, 0.23031387746105997, 0.2315449502927308, -0.038921004807462495, 0.08497940185147204, -0.12162344285752624, 0.03219199353681725, -0.0902242685421085, -0.24505076874332615, -0.24702460616731978, 0.09309473989471408, -0.07726085340329185, -0.19478373149200817, 0.357534341495104, 0.11375948043102968, 0.1064618471677282, -0.136702077842213, 0.1640745818719496, 0.09309168058632854, 0.0664534768438898, -0.036325496911280314, 0.28857587013697744, 0.2560343174501417, 0.09917009430367271, -0.32405760896876834, 0.12591514801511502, 0.01593447265474183] |
709.206 | Semiclassical Resonances of Schr\"odinger operators as zeroes of
regularized determinants | We prove that the resonances of long range perturbations of the
(semiclassical) Laplacian are the zeroes of natural perturbation determinants.
We more precisely obtain factorizations of these determinants of the form $
\prod_{w = {\rm resonances}}(z-w) \exp (\varphi_p(z,h)) $ and give
semiclassical bounds on $ \partial_z \varphi_p $ as well as a representation of
Koplienko's regularized spectral shift function. Here the index $ p \geq 1 $
depends on the decay rate at infinity of the perturbation.
| math.SP | we prove that the resonances of long range perturbations of the semiclassical laplacian are the zeroes of natural perturbation determinants we more precisely obtain factorizations of these determinants of the form prod_w rm resonanceszw exp varphi_pzh and give semiclassical bounds on partial_z varphi_p as well as a representation of koplienkos regularized spectral shift function here the index p geq 1 depends on the decay rate at infinity of the perturbation | [['we', 'prove', 'that', 'the', 'resonances', 'of', 'long', 'range', 'perturbations', 'of', 'the', 'semiclassical', 'laplacian', 'are', 'the', 'zeroes', 'of', 'natural', 'perturbation', 'determinants', 'we', 'more', 'precisely', 'obtain', 'factorizations', 'of', 'these', 'determinants', 'of', 'the', 'form', 'prod_w', 'rm', 'resonanceszw', 'exp', 'varphi_pzh', 'and', 'give', 'semiclassical', 'bounds', 'on', 'partial_z', 'varphi_p', 'as', 'well', 'as', 'a', 'representation', 'of', 'koplienkos', 'regularized', 'spectral', 'shift', 'function', 'here', 'the', 'index', 'p', 'geq', '1', 'depends', 'on', 'the', 'decay', 'rate', 'at', 'infinity', 'of', 'the', 'perturbation']] | [-0.15006636165659318, 0.11593308516625148, -0.08540409170230155, 0.1255387510433654, -0.02433937535718528, -0.07988634614496311, -0.006164357292034955, 0.29146508413797884, -0.27008916140158673, -0.24286250090539288, 0.1144226879027408, -0.3143030136073036, -0.16122388631216625, 0.1491377710906872, -0.01729034503866265, 0.05657625013489777, 0.019182898448224166, 0.11838107991185207, -0.1160654081274936, -0.18236600602073455, 0.3508947664009991, 0.016128672523173824, 0.17999803282515103, 0.08741393325322155, 0.0469780913945079, -0.0037513203821631508, 0.019135198979847022, -0.10190873141331014, -0.2052238794264545, 0.10294345154691098, 0.1945271097727853, 0.11499019839745293, 0.24255239545826368, -0.38688647563555345, -0.1597061846613773, 0.11864051963689166, 0.19774339892970982, 0.04640991063858035, 0.019686332183373994, -0.24870107835158706, 0.11520805898636802, -0.13782041725605282, -0.14956969678846757, -0.09342550796303731, 0.06438600499905757, 0.048170283179618974, -0.3159463171527457, 0.13041920439903137, 0.07449463335275928, 0.05057474016559435, -0.033685869860476746, -0.1894460690360683, 0.015763695793115158, 0.09464634081293176, 0.07566332294424968, 0.0016183510471357784, 0.09862741529107538, -0.07749646237648244, -0.05385728722521618, 0.3186193491651941, -0.14094591681470178, -0.20234097782244434, 0.0776765827826266, -0.19788482618420872, -0.11769238133122449, 0.08689592417273949, 0.13102258926730104, 0.20137876305649224, -0.01566099634727658, 0.16092965235401974, -0.04448943626858405, 0.13584715506034112, 0.15234022435329075, 0.08985511438824226, 0.10817017021185871, 0.07707100590246159, 0.08488090790168785, 0.07131670464052638, -0.04943048860877752, -0.03671568448641407, -0.3515016502186434, -0.12678263820151783, -0.20943460815044038, 0.14392433911492464, -0.16799981233906244, -0.22757539864622556, 0.4119719858594072, 0.06734015143462527, 0.2492481375585741, 0.15908486731072416, 0.2026989674890664, 0.20697848444262437, 0.031814193909070386, 0.038934192370011736, 0.18008387913065615, 0.18930606855732848, 0.04119564495709683, -0.20565480741658318, -0.025106068273116625, 0.13281903783234753] |
709.2061 | Absence of singular continuous diffraction for discrete multi-component
particle models | Particle models with finitely many types of particles are considered, both on
$\mathbb{Z}^d$ and on discrete point sets of finite local complexity. Such sets
include many standard examples of aperiodic order such as model sets or certain
substitution systems. The particle gas is defined by an interaction potential
and a corresponding Gibbs measure. Under some reasonable conditions on the
underlying point set and the potential, we show that the corresponding
diffraction measure almost surely exists and consists of a pure point part and
an absolutely continuous part with continuous density. In particular, no
singular continuous part is present.
| math-ph math.MP math.SP | particle models with finitely many types of particles are considered both on mathbbzd and on discrete point sets of finite local complexity such sets include many standard examples of aperiodic order such as model sets or certain substitution systems the particle gas is defined by an interaction potential and a corresponding gibbs measure under some reasonable conditions on the underlying point set and the potential we show that the corresponding diffraction measure almost surely exists and consists of a pure point part and an absolutely continuous part with continuous density in particular no singular continuous part is present | [['particle', 'models', 'with', 'finitely', 'many', 'types', 'of', 'particles', 'are', 'considered', 'both', 'on', 'mathbbzd', 'and', 'on', 'discrete', 'point', 'sets', 'of', 'finite', 'local', 'complexity', 'such', 'sets', 'include', 'many', 'standard', 'examples', 'of', 'aperiodic', 'order', 'such', 'as', 'model', 'sets', 'or', 'certain', 'substitution', 'systems', 'the', 'particle', 'gas', 'is', 'defined', 'by', 'an', 'interaction', 'potential', 'and', 'a', 'corresponding', 'gibbs', 'measure', 'under', 'some', 'reasonable', 'conditions', 'on', 'the', 'underlying', 'point', 'set', 'and', 'the', 'potential', 'we', 'show', 'that', 'the', 'corresponding', 'diffraction', 'measure', 'almost', 'surely', 'exists', 'and', 'consists', 'of', 'a', 'pure', 'point', 'part', 'and', 'an', 'absolutely', 'continuous', 'part', 'with', 'continuous', 'density', 'in', 'particular', 'no', 'singular', 'continuous', 'part', 'is', 'present']] | [-0.09615667565899179, 0.1451629084176788, -0.056913154213974367, 0.05726023813072896, 0.018948625404938902, -0.09033061792997986, 0.023465538613631258, 0.38766856286294604, -0.29641198338370545, -0.21048156182015582, 0.14418741803953652, -0.32402197225969664, -0.12627396551293454, 0.19865355263131537, -0.05143467676160591, 0.09346990035466697, 0.03926303957075793, 0.09905364075960706, -0.029151410337214415, -0.23397750111073445, 0.37582497249300384, -0.03776286621055357, 0.24195235913942512, 0.03412999626788387, 0.14130303855244147, 0.02673696667640185, -0.034172657354525765, 0.04440330990533135, -0.10670028994258135, 0.04772733992953994, 0.17963056579192568, 0.09157517748381182, 0.26826408463625273, -0.3927428540821206, -0.2240512750909797, 0.210923788498859, 0.06421903220993676, 0.04412739571868157, -0.08238106801255358, -0.25795076856370636, 0.07589266984723508, -0.13132998341580435, -0.15774060205594465, -0.1040692976200763, 0.02825517036324861, 0.0713965247328184, -0.27974532160679905, 0.03553915265187317, 0.10259620541212511, 0.09240176536294879, -0.09508267500466305, -0.11052050530359302, -0.04362316648903474, 0.09451634113496284, 0.01301727018067233, 0.02972482210405323, 0.13272320361313772, -0.07038952422575379, -0.12766642801520622, 0.4108040187702685, -0.052482978731859475, -0.23840316544923626, 0.29963194371714275, -0.13810440670337756, -0.12967694893346302, 0.13472385894583197, 0.10983716927905929, 0.07953327840042053, -0.14791565953886934, 0.18361355519404501, -0.06236079857774953, 0.16384127406654073, 0.0658113705517002, 0.028701647772805348, 0.20484586231106397, 0.13141965900063135, 0.14675313322353462, 0.12667208826359438, -0.039807927698533675, -0.11924083000619193, -0.3680500357259749, -0.12129676721191832, -0.19537428656013264, 0.047255794541454135, -0.11161567790036409, -0.2532125374549354, 0.3710532774768618, 0.10160413135688905, 0.20625406048469702, 0.050894684279432556, 0.2344830970657628, 0.1440694449513697, -0.014587600437487115, 0.05486775622988234, 0.10914403962937175, 0.09191800340563439, 0.01653989097483608, -0.1369533856014474, 0.036015026373503616, 0.06935555246725146] |
709.2062 | Topological correlations and asymptotic freedom in cellular aggregates | In random cellular systems, both observation and maximum entropy inference
give a specific form to the topological pair correlation: it is bi-affine in
the cells number of edges with coefficients depending on the distance between
the two cells of the pair. Assuming this form for the pair correlations, we
make explicit the conditions of statistical independence at large distance.
When, on average, the defects do not contribute, the layer population and the
enclosed topological charge both increase polynomially with distance. In
dimension 2, the exponent of the leading terms depend on sum rules satisfied,
or not, by the maximum entropy coefficients.
| cond-mat.soft | in random cellular systems both observation and maximum entropy inference give a specific form to the topological pair correlation it is biaffine in the cells number of edges with coefficients depending on the distance between the two cells of the pair assuming this form for the pair correlations we make explicit the conditions of statistical independence at large distance when on average the defects do not contribute the layer population and the enclosed topological charge both increase polynomially with distance in dimension 2 the exponent of the leading terms depend on sum rules satisfied or not by the maximum entropy coefficients | [['in', 'random', 'cellular', 'systems', 'both', 'observation', 'and', 'maximum', 'entropy', 'inference', 'give', 'a', 'specific', 'form', 'to', 'the', 'topological', 'pair', 'correlation', 'it', 'is', 'biaffine', 'in', 'the', 'cells', 'number', 'of', 'edges', 'with', 'coefficients', 'depending', 'on', 'the', 'distance', 'between', 'the', 'two', 'cells', 'of', 'the', 'pair', 'assuming', 'this', 'form', 'for', 'the', 'pair', 'correlations', 'we', 'make', 'explicit', 'the', 'conditions', 'of', 'statistical', 'independence', 'at', 'large', 'distance', 'when', 'on', 'average', 'the', 'defects', 'do', 'not', 'contribute', 'the', 'layer', 'population', 'and', 'the', 'enclosed', 'topological', 'charge', 'both', 'increase', 'polynomially', 'with', 'distance', 'in', 'dimension', '2', 'the', 'exponent', 'of', 'the', 'leading', 'terms', 'depend', 'on', 'sum', 'rules', 'satisfied', 'or', 'not', 'by', 'the', 'maximum', 'entropy', 'coefficients']] | [-0.16352948274389648, 0.14932031458299053, -0.025397922866747226, 0.056901915003499476, -0.03123180202432069, -0.12404045421574818, 0.08672137182069906, 0.33371968823715603, -0.2696502010273461, -0.2914137114761489, 0.06081326280623711, -0.32219313091072854, -0.1110833151667093, 0.1463268237121606, -0.014402933727654785, 0.026765116905369382, 0.03029880761676053, 0.10453996338909215, -0.06778479953951175, -0.2691006807075574, 0.3354446290621054, 0.010336182061767224, 0.31060725222756663, 0.08923388561141668, 0.08317815782594504, 0.030192415359070395, -0.01613784771375727, 0.043587883989704715, -0.13954343186636078, 0.11975475920751544, 0.16764800146332767, 0.09255773422773927, 0.21426718025975447, -0.4287032836236724, -0.18336619815263566, 0.14395242974180544, 0.11379531186562733, 0.04811139164335731, 0.02277322089539306, -0.2007647245882614, 0.0985314341499424, -0.1452006057624032, -0.08471064205456635, -0.008416039454243561, 0.037403155095174466, 0.05295759547584791, -0.2723058723973682, 0.12666613800856885, 0.06583511443015667, 0.0658732599090084, -0.015446507249783614, -0.10591125501190672, -0.04912415090118452, 0.1367475333958426, 0.028220638814889412, 0.008182234490419379, 0.1244644316715548, -0.13561519801773425, -0.0842340713416429, 0.3108665260006812, -0.031073772431452675, -0.26978873206984877, 0.19080776539585081, -0.17529113313625796, -0.08530015437541032, 0.10881944205658049, 0.17233279462682433, 0.10440228109468135, -0.12365481970064679, 0.05870977615693233, -0.011774519108014532, 0.18802728192272164, 0.08835161758568322, 0.09620549821174972, 0.21348118178989037, 0.08234040913780653, 0.10137678805328353, 0.12430509925810712, -0.08248394267808756, -0.10307039635827636, -0.3354080707978199, -0.1652634102372236, -0.21325669757385582, 0.053158867684951386, -0.1560150397025708, -0.1800730793119067, 0.36433565279579544, 0.09179330838969241, 0.25632162276905557, 0.08251464173040989, 0.2265469578491284, 0.1448157233056972, 0.09799901679121327, 0.08491536464293183, 0.21155825098238812, 0.12796062706176672, 0.03789897721795605, -0.23819347716277778, 0.1181645613385014, 0.11467515899440145] |
709.2063 | On the 5D differential calculus and translation transformations in 4D
kappa-Minkowski noncommutative spacetime | We perform a Noether analysis for a description of translation
transformations in 4D $\kappa$-Minkowski noncommutative spacetime which is
based on the structure of a 5D differential calculus. The techniques that some
of us had previously developed (hep-th/0607221) for a description of
translation transformations based on a 4D differential calculus turn out to be
applicable without any modification, and they allow us to show that the basis
usually adopted for the 5D calculus does not take into account certain aspects
of the structure of time translations in $\kappa$-Minkowski. We propose a
change of basis for the 5D calculus which leads to a more intuitive description
of time translations.
| hep-th | we perform a noether analysis for a description of translation transformations in 4d kappaminkowski noncommutative spacetime which is based on the structure of a 5d differential calculus the techniques that some of us had previously developed hepth0607221 for a description of translation transformations based on a 4d differential calculus turn out to be applicable without any modification and they allow us to show that the basis usually adopted for the 5d calculus does not take into account certain aspects of the structure of time translations in kappaminkowski we propose a change of basis for the 5d calculus which leads to a more intuitive description of time translations | [['we', 'perform', 'a', 'noether', 'analysis', 'for', 'a', 'description', 'of', 'translation', 'transformations', 'in', '4d', 'kappaminkowski', 'noncommutative', 'spacetime', 'which', 'is', 'based', 'on', 'the', 'structure', 'of', 'a', '5d', 'differential', 'calculus', 'the', 'techniques', 'that', 'some', 'of', 'us', 'had', 'previously', 'developed', 'hepth0607221', 'for', 'a', 'description', 'of', 'translation', 'transformations', 'based', 'on', 'a', '4d', 'differential', 'calculus', 'turn', 'out', 'to', 'be', 'applicable', 'without', 'any', 'modification', 'and', 'they', 'allow', 'us', 'to', 'show', 'that', 'the', 'basis', 'usually', 'adopted', 'for', 'the', '5d', 'calculus', 'does', 'not', 'take', 'into', 'account', 'certain', 'aspects', 'of', 'the', 'structure', 'of', 'time', 'translations', 'in', 'kappaminkowski', 'we', 'propose', 'a', 'change', 'of', 'basis', 'for', 'the', '5d', 'calculus', 'which', 'leads', 'to', 'a', 'more', 'intuitive', 'description', 'of', 'time', 'translations']] | [-0.0768672700472756, 0.05368720624103861, -0.1699063281686801, 0.10785172090378045, -0.16314418197245412, -0.1256454754664721, 0.019141304074953538, 0.3415408223375397, -0.23604035974515356, -0.27525425509040086, 0.04980588412870003, -0.18988077420706176, -0.15500655821260978, 0.17656955989033757, -0.09695243061397155, 0.00895113726410101, 0.020799178888204175, 0.06848003752837133, -0.16894962095747754, -0.17905975794551438, 0.3392657801719769, 0.04240284231052084, 0.28752008188111744, -0.003935577084292781, 0.12541405962920696, 0.03750272349999199, -0.060027446795500955, 0.03330827844417039, -0.10694226220248482, 0.16798641735617564, 0.22811939089365726, 0.13542706297077942, 0.22357966092344866, -0.4759433029992682, -0.19538929141214434, 0.04654453107032855, 0.11698090225317569, 0.14910127742453214, -0.03780107530130992, -0.296772068744209, 0.026499664072685364, -0.1690513709041659, -0.1059123474471974, -0.17177876266035833, 0.024410928979533602, -0.08261277104007467, -0.25653637896120585, -0.005327637781793217, 0.13692550013008756, 0.06656345466749286, -0.09191872861306623, -0.035447842621613504, -0.02557141744127532, 0.10013569329584122, 0.028063695515365392, 0.023279838441906252, 0.09349118354334936, -0.05388021592121079, -0.1587121905056092, 0.430092537107895, -0.03980917236020894, -0.3193011762012007, 0.13594888867414995, -0.15583964706978426, -0.19711948638641327, 0.11399674000007645, 0.15639027380296644, 0.162243689770617, -0.15436394090153593, 0.1634766943395832, -0.01986369238463494, 0.19960490970889916, 0.09157333172690826, 0.04455694841783283, 0.1706759031370001, 0.12070610494581314, 0.02511535192409284, 0.07853787148015504, -0.018403307231635135, -0.15801286896392, -0.36644059207009255, -0.2270061477342234, -0.06174807401619992, 0.09753107429245368, -0.0863799377791265, -0.20327206812183954, 0.39865272833948145, 0.1477363849880244, 0.187269709626529, 0.03446962893720857, 0.20758761230083006, 0.12332352434443135, 0.14708047523602563, -0.004165102740890294, 0.18842190143214055, 0.11628366494551301, 0.10886472314244734, -0.16952269253395674, 0.019011887932582846, 0.15944755965303453] |
709.2064 | Phenomenological theory of nonergodic phenomena in dipole- and
spin-glasses | The path-dependent magnetizations (polarizations) and susceptibilities in
dipole- and spin-glasses are described analytically for the standard protocols
of temperature and field variations using the phenomenological Landau-type
description of multiple metastable states in the nonergodic phases. The
immediate manifestation of metastable states' multiplicity as staircases of
magnetizations (polarizations) curves in the temperature cycling experiments is
explained and described. The obtained results are in a reasonable qualitative
agreement with the existing experimental data.
| cond-mat.dis-nn cond-mat.mtrl-sci | the pathdependent magnetizations polarizations and susceptibilities in dipole and spinglasses are described analytically for the standard protocols of temperature and field variations using the phenomenological landautype description of multiple metastable states in the nonergodic phases the immediate manifestation of metastable states multiplicity as staircases of magnetizations polarizations curves in the temperature cycling experiments is explained and described the obtained results are in a reasonable qualitative agreement with the existing experimental data | [['the', 'pathdependent', 'magnetizations', 'polarizations', 'and', 'susceptibilities', 'in', 'dipole', 'and', 'spinglasses', 'are', 'described', 'analytically', 'for', 'the', 'standard', 'protocols', 'of', 'temperature', 'and', 'field', 'variations', 'using', 'the', 'phenomenological', 'landautype', 'description', 'of', 'multiple', 'metastable', 'states', 'in', 'the', 'nonergodic', 'phases', 'the', 'immediate', 'manifestation', 'of', 'metastable', 'states', 'multiplicity', 'as', 'staircases', 'of', 'magnetizations', 'polarizations', 'curves', 'in', 'the', 'temperature', 'cycling', 'experiments', 'is', 'explained', 'and', 'described', 'the', 'obtained', 'results', 'are', 'in', 'a', 'reasonable', 'qualitative', 'agreement', 'with', 'the', 'existing', 'experimental', 'data']] | [-0.17947954264089044, 0.19189488824168352, -0.08829987628883879, 0.10382282238906171, 0.029335684602109478, -0.11928266756446429, 0.040967118303278385, 0.3785718729798223, -0.2070670691974671, -0.26685149401006564, 0.02238341102796331, -0.2916231467372174, -0.05100579747379246, 0.20726808293027357, 0.010429808410855246, 0.044627467721280914, 0.023023904183171164, -0.0033171121818079074, -0.0863390978832375, -0.17320348927751184, 0.2449832043649865, -0.011069263006940904, 0.3041234622761922, 0.06543664741788952, 0.0334901976822154, -0.015185950258353226, 0.07296334043748572, 0.08877070103837571, -0.14247568499323138, 0.0196511245211324, 0.30354207429811886, 0.02155140754570004, 0.0967734884339529, -0.46379864183057784, -0.20091900612476846, 0.04857176317977653, 0.10298446766559927, 0.13450139621928545, -0.03855029427984231, -0.2978765188493359, -0.026846752698782464, -0.11884176771772999, -0.17352682436016245, -0.16156903731728522, -0.014057023455651189, 0.05435007482334237, -0.2831763428845771, 0.15398483745373365, 0.02913454263536653, 0.11727619083585139, -0.11718192360770534, -0.16935279939166256, -0.08779973509183651, 0.06375017538535553, 0.09580481128985821, -0.0008225497317461061, 0.13916340606077246, -0.14527085039135015, -0.19071545318083863, 0.3298735851848262, -0.10663596841073791, -0.12075983473217823, 0.16642046241666858, -0.17739538878262287, -0.08287367156483758, 0.14392640420668562, 0.0873599398461446, 0.11145364491819916, -0.13261049361505978, 0.06092137449546422, -0.0026839477088774592, 0.1144944520824602, 0.05781461754617032, 0.06514693112479454, 0.22535105012881923, 0.1601312275398785, -0.062149102117498994, 0.14189754582082353, -0.0430019023683919, -0.2013322333083816, -0.33288332525539066, -0.09585091767793286, -0.18000946945550156, -0.0013025044135644402, -0.10744038245125845, -0.1435477452870773, 0.438998577355499, 0.11609777375813049, 0.21691295682308329, 0.002426852904994723, 0.2753630985151714, 0.12019732202121228, 0.0005244235442557805, 0.02950165281072259, 0.27860093371234307, 0.1979162643178248, 0.1377157623564798, -0.2666780656715199, 0.10309452239528928, -0.007374156732112169] |
709.2065 | Toward Psycho-robots | We try to perform geometrization of psychology by representing mental states,
<<ideas>>, by points of a metric space, <<mental space>>. Evolution of ideas is
described by dynamical systems in metric mental space. We apply the mental
space approach for modeling of flows of unconscious and conscious information
in the human brain. In a series of models, Models 1-4, we consider cognitive
systems with increasing complexity of psychological behavior determined by
structure of flows of ideas. Since our models are in fact models of the
AI-type, one immediately recognizes that they can be used for creation of
AI-systems, which we call psycho-robots, exhibiting important elements of human
psyche. Creation of such psycho-robots may be useful improvement of domestic
robots. At the moment domestic robots are merely simple working devices (e.g.
vacuum cleaners or lawn mowers) . However, in future one can expect demand in
systems which be able not only perform simple work tasks, but would have
elements of human self-developing psyche. Such AI-psyche could play an
important role both in relations between psycho-robots and their owners as well
as between psycho-robots. Since the presence of a huge numbers of
psycho-complexes is an essential characteristic of human psychology, it would
be interesting to model them in the AI-framework.
| cs.AI | we try to perform geometrization of psychology by representing mental states ideas by points of a metric space mental space evolution of ideas is described by dynamical systems in metric mental space we apply the mental space approach for modeling of flows of unconscious and conscious information in the human brain in a series of models models 14 we consider cognitive systems with increasing complexity of psychological behavior determined by structure of flows of ideas since our models are in fact models of the aitype one immediately recognizes that they can be used for creation of aisystems which we call psychorobots exhibiting important elements of human psyche creation of such psychorobots may be useful improvement of domestic robots at the moment domestic robots are merely simple working devices eg vacuum cleaners or lawn mowers however in future one can expect demand in systems which be able not only perform simple work tasks but would have elements of human selfdeveloping psyche such aipsyche could play an important role both in relations between psychorobots and their owners as well as between psychorobots since the presence of a huge numbers of psychocomplexes is an essential characteristic of human psychology it would be interesting to model them in the aiframework | [['we', 'try', 'to', 'perform', 'geometrization', 'of', 'psychology', 'by', 'representing', 'mental', 'states', 'ideas', 'by', 'points', 'of', 'a', 'metric', 'space', 'mental', 'space', 'evolution', 'of', 'ideas', 'is', 'described', 'by', 'dynamical', 'systems', 'in', 'metric', 'mental', 'space', 'we', 'apply', 'the', 'mental', 'space', 'approach', 'for', 'modeling', 'of', 'flows', 'of', 'unconscious', 'and', 'conscious', 'information', 'in', 'the', 'human', 'brain', 'in', 'a', 'series', 'of', 'models', 'models', '14', 'we', 'consider', 'cognitive', 'systems', 'with', 'increasing', 'complexity', 'of', 'psychological', 'behavior', 'determined', 'by', 'structure', 'of', 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709.2066 | Graphene Nanoribbon and Graphene Nanodisk | We study electronic properties of graphene derivatives which have closed
edges. They are finite-length graphene nanoribbons and graphene nanodisks. No
metallic states are found in finite-length zigzag nanoribbons though all
infinite-length zigzag nanoribbons are metallic. We also study hexagonal,
parallelogrammic and trigonal nanodisks with zigzag or armchair edges. No
metallic states are found in these nanodisks either except trigonal zigzag
nanodisks. It is interesting that we can design the degeneracy of the metallic
states arbitrarily in trigonal zigzag nanodisks by changing the size.
| cond-mat.mes-hall cond-mat.mtrl-sci | we study electronic properties of graphene derivatives which have closed edges they are finitelength graphene nanoribbons and graphene nanodisks no metallic states are found in finitelength zigzag nanoribbons though all infinitelength zigzag nanoribbons are metallic we also study hexagonal parallelogrammic and trigonal nanodisks with zigzag or armchair edges no metallic states are found in these nanodisks either except trigonal zigzag nanodisks it is interesting that we can design the degeneracy of the metallic states arbitrarily in trigonal zigzag nanodisks by changing the size | [['we', 'study', 'electronic', 'properties', 'of', 'graphene', 'derivatives', 'which', 'have', 'closed', 'edges', 'they', 'are', 'finitelength', 'graphene', 'nanoribbons', 'and', 'graphene', 'nanodisks', 'no', 'metallic', 'states', 'are', 'found', 'in', 'finitelength', 'zigzag', 'nanoribbons', 'though', 'all', 'infinitelength', 'zigzag', 'nanoribbons', 'are', 'metallic', 'we', 'also', 'study', 'hexagonal', 'parallelogrammic', 'and', 'trigonal', 'nanodisks', 'with', 'zigzag', 'or', 'armchair', 'edges', 'no', 'metallic', 'states', 'are', 'found', 'in', 'these', 'nanodisks', 'either', 'except', 'trigonal', 'zigzag', 'nanodisks', 'it', 'is', 'interesting', 'that', 'we', 'can', 'design', 'the', 'degeneracy', 'of', 'the', 'metallic', 'states', 'arbitrarily', 'in', 'trigonal', 'zigzag', 'nanodisks', 'by', 'changing', 'the', 'size']] | [-0.3009354349044038, 0.23094309599950863, 0.03250560264398412, 0.006713751426659434, -0.0070404896062583, -0.27034410467462205, 0.03679289601788652, 0.6571299034375243, -0.23521456213259115, -0.23484282353438618, -0.028005762166264127, -0.38125226605774426, -0.21294395626443097, 0.07068568718812723, 0.053145715401070645, 0.0415155442375491, 0.12167906175117667, -0.15170347149960878, -0.0967069514842545, -0.27911523116252773, 0.15914672473161595, -0.06514868419049535, 0.3276686958014602, 0.1030909826343016, -0.1446136760059744, 0.01192295631371075, 0.2434750158998479, 0.08075136781056844, -0.20601347212939844, 0.07415724068769344, 0.27193338280861695, -0.30538631876555794, 0.10851639144622334, -0.5673478594867558, -0.11237995727442024, -0.03491385403747966, 0.1943157007463458, 0.22481904679017778, -0.003950781244273502, -0.2974504140324936, 0.16213768732126393, -0.02936433358458666, -0.10562629447738844, -0.06216055762431607, -0.009786552726859, -0.00840722661033818, -0.10057516898619147, 0.018427346114327607, 0.09349112224015521, 0.08264154587622459, -0.05248330258082871, -0.19416338329135283, -0.2525400593706475, -0.007705324758184937, 0.05919674979579612, -0.07828105231974183, 0.20765655451431508, -0.06994879139990477, -0.15464408976230315, 0.40619494300335646, 0.007263288827522136, -0.12468520988051485, 0.12799545063881385, -0.17636515926456126, -0.0590731776546596, 0.17235607647609602, 0.03136794480904028, 0.07142689544707537, -0.12715942725161566, 0.14571894883467792, -0.08511426089694951, 0.09444083426170415, 0.20386470051016659, 0.15918495372312552, 0.2808047978480051, 0.14311182124131336, 0.11745310266127401, 0.23192396313065616, -0.07526664471639911, 0.03954415197098037, -0.11402089952877383, -0.19982970463361863, -0.2463551491354138, 0.09246530135094029, -0.11264709574021342, -0.33551620006016114, 0.4533021900939142, 0.026677564780295985, 0.1344322016428611, -0.06493370289340751, 0.17724424868640376, 0.05825957783111712, 0.07901895113243926, 0.061693295399181364, 0.20636431132329675, 0.19525077069325872, -0.007446336912036669, -0.22406372121853255, 0.09036535326470961, -0.09163051427103489] |
709.2067 | On Kato's method for Navier--Stokes Equations | We investigate Kato's method for parabolic equations with a quadratic
non-linearity in an abstract form. We extract several properties known from
linear systems theory which turn out to be the essential ingredients for the
method. We give necessary and sufficient conditions for these conditions and
provide new and more general proofs, based on real interpolation. In
application to the Navier-Stokes equations, our approach unifies several
results known in the literature, partly with different proofs. Moreover, we
establish new existence and uniqueness results for rough initial data on
arbitrary domains in ${\mathbb R}^3$ and irregular domains in ${\mathbb R}^n$.
| math.AP math.FA | we investigate katos method for parabolic equations with a quadratic nonlinearity in an abstract form we extract several properties known from linear systems theory which turn out to be the essential ingredients for the method we give necessary and sufficient conditions for these conditions and provide new and more general proofs based on real interpolation in application to the navierstokes equations our approach unifies several results known in the literature partly with different proofs moreover we establish new existence and uniqueness results for rough initial data on arbitrary domains in mathbb r3 and irregular domains in mathbb rn | [['we', 'investigate', 'katos', 'method', 'for', 'parabolic', 'equations', 'with', 'a', 'quadratic', 'nonlinearity', 'in', 'an', 'abstract', 'form', 'we', 'extract', 'several', 'properties', 'known', 'from', 'linear', 'systems', 'theory', 'which', 'turn', 'out', 'to', 'be', 'the', 'essential', 'ingredients', 'for', 'the', 'method', 'we', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'these', 'conditions', 'and', 'provide', 'new', 'and', 'more', 'general', 'proofs', 'based', 'on', 'real', 'interpolation', 'in', 'application', 'to', 'the', 'navierstokes', 'equations', 'our', 'approach', 'unifies', 'several', 'results', 'known', 'in', 'the', 'literature', 'partly', 'with', 'different', 'proofs', 'moreover', 'we', 'establish', 'new', 'existence', 'and', 'uniqueness', 'results', 'for', 'rough', 'initial', 'data', 'on', 'arbitrary', 'domains', 'in', 'mathbb', 'r3', 'and', 'irregular', 'domains', 'in', 'mathbb', 'rn']] | [-0.09234706227125943, -0.01617745217752562, -0.10141409220820179, 0.08536902555188507, -0.0983163702007079, -0.13785292609708802, -0.036580873143678645, 0.32265019741821654, -0.26908550909435264, -0.24947493980467625, 0.15942000015044813, -0.22581251546483944, -0.1786820483584033, 0.2807825858875805, -0.0962180021428028, 0.08938563782341626, 0.04167621821991871, -0.007995466756033331, -0.09520487278243717, -0.28642716214098796, 0.3727669444894988, -0.10610066695442917, 0.23168764939788272, 0.08491164785144585, 0.08555694876300475, -0.010061405390044865, -0.023810640754349226, -0.005871958679006416, -0.2352607903564919, 0.14106673341985715, 0.25561006268372344, 0.08204531052853076, 0.24946049680667265, -0.4928999684598981, -0.192924399676077, 0.08878682853359425, 0.11958630902369563, 0.11712441050176679, -0.07701243830405827, -0.30615629957114554, 0.10423399127986548, -0.07759965796555791, -0.19623418109567495, -0.14829860923559957, 0.019158528880121147, 0.07022689261036563, -0.3199780204010253, 0.06528337841511381, 0.1302510699600561, 0.06842699359950362, -0.15760389317245205, -0.11088537195654662, 0.03246438809984117, 0.08955614303941933, 0.011535016748560022, -0.001788136682340077, 0.011992142735315221, -0.06921743953182381, -0.09384210658620815, 0.3514451710317208, -0.057907570562116345, -0.27745068352431895, 0.23305108196254135, -0.1123023275060256, -0.16498992261619363, 0.08024081277508972, 0.19105588815802213, 0.16315246857652246, -0.15190707115760568, 0.10420738583209696, -0.07378015036181527, 0.12509819834816213, 0.06520247240835915, 0.04144453772697693, 0.09384956600724206, 0.10963214489118177, 0.12447410818113357, 0.14447244832040362, 0.010271277520995664, -0.118014500462165, -0.36908132079228456, -0.13467353882448635, -0.11546506615336605, 0.05967085500252528, -0.10876779325175151, -0.1649827561341226, 0.3571277592896617, 0.1777202454775724, 0.1827897279136054, 0.07990377242273024, 0.24919605946016252, 0.09516405205216202, 0.026333726638433884, 0.06577859805007133, 0.1614516436749575, 0.1631980219247694, 0.11167401448604936, -0.134463125067687, 0.012490864434488574, 0.1408258553698887] |
709.2068 | Microphase morphology in two dimensional fluids under lateral
confinement | We study the effects of confinement between two parallel walls on a two
dimensional fluid with competing interactions which lead to the formation of
particle micro-domains at the thermodynamic equilibrium (microphases or
microseparation). The possibility to induce structural changes of the
morphology of the micro-domains is explored, under different confinement
conditions and temperatures. In presence of neutral walls, a switch from
stripes of particles to circular clusters (droplets) occurs as the temperature
decreases, which does not happen in bulk. While the passage from droplets to
stripes, as the density increases, is a well known phenomenon, the change of
the stripes into droplets as an effect of temperature is rather unexpected.
Depending on the wall separation and on the wall-fluid interaction parameters,
the stripes can switch from parallel to perpendicular to the walls and also a
mixed morphology can be stable.
| cond-mat.soft | we study the effects of confinement between two parallel walls on a two dimensional fluid with competing interactions which lead to the formation of particle microdomains at the thermodynamic equilibrium microphases or microseparation the possibility to induce structural changes of the morphology of the microdomains is explored under different confinement conditions and temperatures in presence of neutral walls a switch from stripes of particles to circular clusters droplets occurs as the temperature decreases which does not happen in bulk while the passage from droplets to stripes as the density increases is a well known phenomenon the change of the stripes into droplets as an effect of temperature is rather unexpected depending on the wall separation and on the wallfluid interaction parameters the stripes can switch from parallel to perpendicular to the walls and also a mixed morphology can be stable | [['we', 'study', 'the', 'effects', 'of', 'confinement', 'between', 'two', 'parallel', 'walls', 'on', 'a', 'two', 'dimensional', 'fluid', 'with', 'competing', 'interactions', 'which', 'lead', 'to', 'the', 'formation', 'of', 'particle', 'microdomains', 'at', 'the', 'thermodynamic', 'equilibrium', 'microphases', 'or', 'microseparation', 'the', 'possibility', 'to', 'induce', 'structural', 'changes', 'of', 'the', 'morphology', 'of', 'the', 'microdomains', 'is', 'explored', 'under', 'different', 'confinement', 'conditions', 'and', 'temperatures', 'in', 'presence', 'of', 'neutral', 'walls', 'a', 'switch', 'from', 'stripes', 'of', 'particles', 'to', 'circular', 'clusters', 'droplets', 'occurs', 'as', 'the', 'temperature', 'decreases', 'which', 'does', 'not', 'happen', 'in', 'bulk', 'while', 'the', 'passage', 'from', 'droplets', 'to', 'stripes', 'as', 'the', 'density', 'increases', 'is', 'a', 'well', 'known', 'phenomenon', 'the', 'change', 'of', 'the', 'stripes', 'into', 'droplets', 'as', 'an', 'effect', 'of', 'temperature', 'is', 'rather', 'unexpected', 'depending', 'on', 'the', 'wall', 'separation', 'and', 'on', 'the', 'wallfluid', 'interaction', 'parameters', 'the', 'stripes', 'can', 'switch', 'from', 'parallel', 'to', 'perpendicular', 'to', 'the', 'walls', 'and', 'also', 'a', 'mixed', 'morphology', 'can', 'be', 'stable']] | [-0.15980447700047598, 0.24657588008153003, -0.10375710460897868, 0.026933957848398547, -0.04989834280485021, -0.10693233475488212, 0.04260969320145835, 0.3787295271775552, -0.2913367043382355, -0.3050061791603054, 0.07618244786447446, -0.24794832929702743, -0.07835670686992151, 0.11910286249310177, 0.014166732977277467, -0.059840734008633135, -0.022761091392021628, 0.0013070716900983824, -0.07748831742875543, -0.1741755441479784, 0.28582650394777637, 0.02289174599843266, 0.32481629741378126, 0.12454556304021805, 0.05964661654018398, -0.0437316662764975, 0.09319157519909953, 0.08524906596035829, -0.16008259073298955, 0.002108514802914994, 0.15938750800851267, -0.03759952448516352, 0.19046317251465683, -0.48673524988283007, -0.20818153921115612, 0.07271725602497879, 0.175660227525181, 0.14762734393256582, -0.03984910280560143, -0.2606104249932936, 0.0271094267323081, -0.09873840533463019, -0.14901021979749202, -0.0024153959172378693, 0.0165547955947529, 0.05488426810853915, -0.24967452776285687, 0.13647842713045455, 0.07802860227696198, 0.02787164743973075, -0.08877851014424648, -0.07322817693597504, -0.09620561001522998, 0.11835290792680878, 0.09088672451575154, 0.030776884726115634, 0.23360223635432442, -0.14896176496056016, -0.09430428626281874, 0.3933284653084619, -0.04888453143316188, -0.17490416225576025, 0.28637868998505706, -0.15052305505211863, -0.037289325178841995, 0.1711289992905222, 0.1869341122219339, 0.09430401182533907, -0.09379484424301024, 0.00981313638663518, 0.013770494350631322, 0.17509285236592403, 0.12167245636561087, 0.00457787020797176, 0.2944340732314491, 0.19338130540480572, 0.06782299993293626, 0.19928284775648666, -0.11856130182111103, -0.12911024909034105, -0.22969753638442073, -0.14077889684122055, -0.15844407911811556, 0.008044710216511573, -0.0952439511956722, -0.21896533546969293, 0.3704413209043975, 0.11193304078312524, 0.223383680400106, -0.04532391098327935, 0.25373040828770693, 0.02711762061891412, 0.09337202217429877, 0.02179582962832813, 0.24865443246173008, 0.13085968523020192, 0.1021591690951027, -0.2718151418625244, 0.10415615871315823, -0.008053662759318415] |
709.2069 | B\"acklund Transformations for Noncommutative Anti-Self-Dual Yang-Mills
Equations | We present Backlund transformations for the noncommutative anti-self-dual
Yang-Mills equation where the gauge group is G=GL(2) and use it to generate a
series of exact solutions from a simple seed solution. The solutions generated
by this approach are represented in terms of quasideterminants and belong to a
noncommutative version of the Atiyah-Ward ansatz. In commutative limit, our
results coincide with those by Corrigan, Fairlie, Yates and Goddard.
| nlin.SI hep-th math-ph math.MP | we present backlund transformations for the noncommutative antiselfdual yangmills equation where the gauge group is ggl2 and use it to generate a series of exact solutions from a simple seed solution the solutions generated by this approach are represented in terms of quasideterminants and belong to a noncommutative version of the atiyahward ansatz in commutative limit our results coincide with those by corrigan fairlie yates and goddard | [['we', 'present', 'backlund', 'transformations', 'for', 'the', 'noncommutative', 'antiselfdual', 'yangmills', 'equation', 'where', 'the', 'gauge', 'group', 'is', 'ggl2', 'and', 'use', 'it', 'to', 'generate', 'a', 'series', 'of', 'exact', 'solutions', 'from', 'a', 'simple', 'seed', 'solution', 'the', 'solutions', 'generated', 'by', 'this', 'approach', 'are', 'represented', 'in', 'terms', 'of', 'quasideterminants', 'and', 'belong', 'to', 'a', 'noncommutative', 'version', 'of', 'the', 'atiyahward', 'ansatz', 'in', 'commutative', 'limit', 'our', 'results', 'coincide', 'with', 'those', 'by', 'corrigan', 'fairlie', 'yates', 'and', 'goddard']] | [-0.09388569829929055, 0.0672087526781428, -0.0926729291677475, 0.06719989324637661, -0.09475816020770281, -0.12332842866255139, -0.018926981190981514, 0.3096120882722916, -0.2349764642616113, -0.24815943351749217, 0.12090518341618449, -0.2871876630480542, -0.1865230918523263, 0.16948316716165704, -0.07711368617178364, 0.020474744741946008, 0.0432200959149861, 0.033173885281113064, -0.09372459621535557, -0.24533197126584128, 0.3482458492402326, -0.016076095825569195, 0.24243509587408466, -0.055206949886103925, 0.14878317619899684, -0.0024718510226882768, -0.033938384925325714, 0.00786160830069672, -0.11352140257473696, 0.11052316502988987, 0.2640640565871515, 0.0931658629455011, 0.1650705787443175, -0.3818412966405352, -0.14981585070067507, 0.0700939182812969, 0.13172726839018817, 0.11369215975035772, -0.03677089136291408, -0.3414382876997644, 0.07130983370271596, -0.20960671512522933, -0.16704344449769423, -0.11803107591571682, -0.004640887223296996, 0.038928150607689255, -0.27423016498373315, 0.06430229809925411, 0.0400512718144014, 0.019271558129482648, -0.10122841461138292, -0.04078229897034665, -0.018209503776619607, 0.04333903252457579, 0.03517952055148216, 0.05709147525273941, 0.027063272011494548, -0.10339490015846395, -0.12559922095247064, 0.3835868095259436, -0.07753878902418143, -0.2821926678615538, 0.1123556866536312, -0.0955295938942017, -0.16266206394754013, 0.1059457590507174, 0.07649195559012394, 0.19634079672113963, -0.12337520752440799, 0.20067851731431746, -0.11684753082579735, 0.08741444506626012, 0.12859691843870236, -0.014668254661514904, 0.1395493575061361, 0.0413822949666417, 0.006193212939031197, 0.16386097942295513, 0.07598647170446136, -0.13245122052842018, -0.3628478366528835, -0.1454423274227531, -0.1401198176617706, 0.12167341523860215, -0.10943364121207692, -0.17617755346211858, 0.38377604574303736, 0.1360157016721187, 0.14345066810280763, 0.08639566320220404, 0.17034488430274933, 0.14768054527689167, 0.07322918917899104, 0.06767371535357652, 0.17419201834127307, 0.19364440806957922, 0.07801628019660711, -0.1802209082772165, -0.07758806682911447, 0.24832642465039637] |
709.207 | Understanding the volatility smile of options markets through
microsimulation | In this work, we aim to gain a better understanding of the volatility smile
observed in options markets through microsimulation (MS). We adopt two types of
active traders in our MS model: speculators and arbitrageurs, and call and put
options on one underlying asset. Speculators make decisions based on their
expectations of the asset price at the option expiration time. Arbitrageurs
trade at different arbitrage opportunities such as violation of put-call
parity. Difference in liquidity among options is also included. Notwithstanding
its simplicity, our model can generate implied volatility (IV) curves similar
to empirical observations. Our results suggest that the volatility smile is
related to the competing effect of heterogeneous trading behavior and the
impact of differential liquidity.
| q-fin.PR physics.soc-ph | in this work we aim to gain a better understanding of the volatility smile observed in options markets through microsimulation ms we adopt two types of active traders in our ms model speculators and arbitrageurs and call and put options on one underlying asset speculators make decisions based on their expectations of the asset price at the option expiration time arbitrageurs trade at different arbitrage opportunities such as violation of putcall parity difference in liquidity among options is also included notwithstanding its simplicity our model can generate implied volatility iv curves similar to empirical observations our results suggest that the volatility smile is related to the competing effect of heterogeneous trading behavior and the impact of differential liquidity | [['in', 'this', 'work', 'we', 'aim', 'to', 'gain', 'a', 'better', 'understanding', 'of', 'the', 'volatility', 'smile', 'observed', 'in', 'options', 'markets', 'through', 'microsimulation', 'ms', 'we', 'adopt', 'two', 'types', 'of', 'active', 'traders', 'in', 'our', 'ms', 'model', 'speculators', 'and', 'arbitrageurs', 'and', 'call', 'and', 'put', 'options', 'on', 'one', 'underlying', 'asset', 'speculators', 'make', 'decisions', 'based', 'on', 'their', 'expectations', 'of', 'the', 'asset', 'price', 'at', 'the', 'option', 'expiration', 'time', 'arbitrageurs', 'trade', 'at', 'different', 'arbitrage', 'opportunities', 'such', 'as', 'violation', 'of', 'putcall', 'parity', 'difference', 'in', 'liquidity', 'among', 'options', 'is', 'also', 'included', 'notwithstanding', 'its', 'simplicity', 'our', 'model', 'can', 'generate', 'implied', 'volatility', 'iv', 'curves', 'similar', 'to', 'empirical', 'observations', 'our', 'results', 'suggest', 'that', 'the', 'volatility', 'smile', 'is', 'related', 'to', 'the', 'competing', 'effect', 'of', 'heterogeneous', 'trading', 'behavior', 'and', 'the', 'impact', 'of', 'differential', 'liquidity']] | [-0.05990166674857422, 0.03846198338147063, -0.13700565555472305, 0.20621426113569413, -0.14848519246472772, -0.15739599725436734, 0.1574428243645451, 0.44512719200071643, -0.2672362065700404, -0.27081429683682273, 0.14159196964008794, -0.3097604820149619, -0.12473140488047216, 0.18054408750692147, -0.14232826709226407, -0.03454098320946934, -0.0008972412077867883, -0.05533166675852075, 0.07141164416581455, -0.3054764079782417, 0.2628113307429762, 0.06647384842025053, 0.3059210497353194, 0.057724672172344844, 0.14105339773330774, -0.033443894030100084, -0.060139251886709134, -0.02402648410238957, -0.1264719157699832, 0.14663997526533143, 0.2754973631541608, 0.08008111680101138, 0.31958436729954715, -0.48114155446005574, -0.14669292092607436, 0.11327685068237646, 0.01436980013435675, 0.006799767861316391, 0.0038747054612771133, -0.2625753298496543, -0.03847427948198471, -0.2510328659614138, -0.1282130040275722, -0.07652003732430986, 0.022475724925397563, 0.04618601171128152, -0.2835146231040106, 0.055805330880734104, 0.03215163976143477, 0.03049321363801413, -0.025611408807581955, -0.1404055259821905, -0.0273229844880022, 0.12458476956570678, 0.17597858507730763, -0.10817648912385358, 0.11527823505260176, -0.14404305549273347, -0.19863634933796476, 0.37602831270166875, -0.09526126138358851, -0.1448710915983765, 0.13743502110976852, -0.17451528595539473, -0.11306303094725235, 0.07814817288811556, 0.2083687581046942, -0.0025060391803350996, -0.1605016119872867, 0.008522193624353889, -0.02393607304518316, 0.15490486742376144, 0.03667993478918985, 0.01235715110028573, 0.20108046408711097, 0.21953782249810333, 0.08595128280852558, 0.07501437763142857, -0.06523035022714255, -0.20216585855173358, -0.270702299306769, -0.11582123549157848, -0.07903456596176188, 0.03335677258180991, -0.17394536099805086, -0.09264861296278314, 0.3966992165877531, 0.20284077381888815, 0.11349648106211828, 0.11127430489247317, 0.2775726552689606, 0.09966557279379124, -0.024828600156578725, 0.07666775398745627, 0.17653229369355714, -0.053871876347052344, 0.15232172356454765, -0.21796457107490624, 0.2502688299548828, -0.024309336261081872] |
709.2071 | Parameter Estimation in Biokinetic Degradation Models in Wastewater
Treatment - A Novel Approach Relevant for Micro-pollutant Removal | In this paper we address a general parameter estimation methodology for an
extended biokinetic degradation model [1] for poorly degradable
micropollutants. In particular we concentrate on parameter estimation of the
micropollutant degradation sub-model by specialised microorganisms. In this
case we focus on the case when only substrate degradation data are available
and prove the structural identifiability of the model. Further we consider the
problem of practical identifiability and propose experimental and related
numerical methods for unambiguous parameter estimation based on multiple
substrate degradation curves with different initial concentrations. Finally by
means of simulated pseudo-experiments we have found convincing indications that
the proposed algorithm is stable and yields appropriate parameter estimates
even in unfavourable regimes.
| q-bio.QM | in this paper we address a general parameter estimation methodology for an extended biokinetic degradation model 1 for poorly degradable micropollutants in particular we concentrate on parameter estimation of the micropollutant degradation submodel by specialised microorganisms in this case we focus on the case when only substrate degradation data are available and prove the structural identifiability of the model further we consider the problem of practical identifiability and propose experimental and related numerical methods for unambiguous parameter estimation based on multiple substrate degradation curves with different initial concentrations finally by means of simulated pseudoexperiments we have found convincing indications that the proposed algorithm is stable and yields appropriate parameter estimates even in unfavourable regimes | [['in', 'this', 'paper', 'we', 'address', 'a', 'general', 'parameter', 'estimation', 'methodology', 'for', 'an', 'extended', 'biokinetic', 'degradation', 'model', '1', 'for', 'poorly', 'degradable', 'micropollutants', 'in', 'particular', 'we', 'concentrate', 'on', 'parameter', 'estimation', 'of', 'the', 'micropollutant', 'degradation', 'submodel', 'by', 'specialised', 'microorganisms', 'in', 'this', 'case', 'we', 'focus', 'on', 'the', 'case', 'when', 'only', 'substrate', 'degradation', 'data', 'are', 'available', 'and', 'prove', 'the', 'structural', 'identifiability', 'of', 'the', 'model', 'further', 'we', 'consider', 'the', 'problem', 'of', 'practical', 'identifiability', 'and', 'propose', 'experimental', 'and', 'related', 'numerical', 'methods', 'for', 'unambiguous', 'parameter', 'estimation', 'based', 'on', 'multiple', 'substrate', 'degradation', 'curves', 'with', 'different', 'initial', 'concentrations', 'finally', 'by', 'means', 'of', 'simulated', 'pseudoexperiments', 'we', 'have', 'found', 'convincing', 'indications', 'that', 'the', 'proposed', 'algorithm', 'is', 'stable', 'and', 'yields', 'appropriate', 'parameter', 'estimates', 'even', 'in', 'unfavourable', 'regimes']] | [-0.10026125134485941, 0.0677858496407049, -0.02765104419610522, 0.07131391483870847, -0.027810012225296582, -0.1891416111533102, 0.07150119358593984, 0.42266935197351213, -0.2230708939568685, -0.3046928103258078, 0.14448372474326207, -0.21489958221780825, -0.18971674006667222, 0.20693987005952377, -0.11284806064816678, 0.08868990591014023, 0.10879803199723766, -0.011508429511072667, -0.06131343018008723, -0.2609696097290227, 0.33456871966487384, 0.04176668603778691, 0.29974439459525654, 0.052801856284474466, 0.09675267030094825, 0.006895655480859516, -0.028206495886987395, 0.014475757281321127, -0.21424763246161732, 0.08090671312026176, 0.23929691529069264, 0.10610136925242841, 0.27204427634877665, -0.40817022251451873, -0.2642369325532838, 0.13277638789165663, 0.15497812930796598, 0.12821672175935395, -0.08929786061855487, -0.24097778915998166, 0.07273145891130306, -0.14546311688651373, -0.07138610460065506, -0.09780334523534989, -0.02759622778273649, -0.0041097065623690214, -0.3018293712657314, 0.1290622239277975, 0.04746488537135962, 0.0839971151655993, -0.10717083581278587, -0.13890336842909623, 0.020161501364782453, 0.09038837991895045, 0.06992877161797337, -0.0495249940971802, 0.10340312064986106, -0.10877961805929337, -0.0734702887114238, 0.34030905523681426, -0.03594540103877735, -0.2627155719878706, 0.17541816007966796, -0.11435049746252664, -0.17280504870572472, 0.09757156809372408, 0.1884231189861558, 0.1345181969950932, -0.11959013550897309, 0.07634494213915959, -0.029434085269836156, 0.17508606144503966, 0.0167048167152045, -0.014472573728673999, 0.11792375320602241, 0.22189741002328628, 0.07404261297621839, 0.17011050475648026, -0.09819903335248766, -0.0507354045555264, -0.27171174014408794, -0.12369345451247887, -0.14557456334230598, -0.02278808875194004, -0.12176294214782296, -0.14565559651551618, 0.3873748594794322, 0.2216218669923979, 0.1904348782892968, 0.03338888768308066, 0.3191040330639881, 0.0724804698162385, -0.0321400549917205, 0.033594803318280624, 0.2585895855046876, 0.06073969790107898, 0.04489733117238224, -0.19712141987045403, 0.14199106360844396, -0.0013220050133059959] |
709.2072 | AdS/CFT and Exclusive Processes in QCD | The AdS/CFT correspondence between string theory in AdS space and conformal
field theories in physical space-time leads to an analytic, semi-classical
model for strongly-coupled QCD which has scale invariance and dimensional
counting at short distances and color confinement at large distances. One can
use holography to map the amplitude describing the hadronic state in the fifth
dimension of Anti-de Sitter space to the light-front wavefunctions of hadrons
in physical space-time, thus providing a relativistic description of hadrons in
QCD at the amplitude level. In particular, we show that there is an exact
correspondence between the fifth-dimensional coordinate of AdS space z and a
specific impact variable zeta which measures the separation of the quark and
gluonic constituents within the hadron in ordinary space-time. New relativistic
light-front equations in ordinary space-time can then be derived which
reproduce the results obtained using the 5-dimensional theory. The effective
light-front equations possess elegant algebraic structures and integrability
properties. This connection between the AdS and the light-front representations
allows one to compute the analytic form of the frame-independent light-front
wavefunctions, the fundamental entities which encode hadron properties and
allow the computation of decay constants, form factors, deeply virtual Compton
scattering, exclusive heavy hadron decays and other exclusive scattering
amplitudes. As specific examples we compute the pion coupling constant and
study the behavior of the pion form factor in the space and time-like regions.
We also determine the Dirac form factors of the proton and neutron in the
space-like region.
| hep-ph hep-th | the adscft correspondence between string theory in ads space and conformal field theories in physical spacetime leads to an analytic semiclassical model for stronglycoupled qcd which has scale invariance and dimensional counting at short distances and color confinement at large distances one can use holography to map the amplitude describing the hadronic state in the fifth dimension of antide sitter space to the lightfront wavefunctions of hadrons in physical spacetime thus providing a relativistic description of hadrons in qcd at the amplitude level in particular we show that there is an exact correspondence between the fifthdimensional coordinate of ads space z and a specific impact variable zeta which measures the separation of the quark and gluonic constituents within the hadron in ordinary spacetime new relativistic lightfront equations in ordinary spacetime can then be derived which reproduce the results obtained using the 5dimensional theory the effective lightfront equations possess elegant algebraic structures and integrability properties this connection between the ads and the lightfront representations allows one to compute the analytic form of the frameindependent lightfront wavefunctions the fundamental entities which encode hadron properties and allow the computation of decay constants form factors deeply virtual compton scattering exclusive heavy hadron decays and other exclusive scattering amplitudes as specific examples we compute the pion coupling constant and study the behavior of the pion form factor in the space and timelike regions we also determine the dirac form factors of the proton and neutron in the spacelike region | [['the', 'adscft', 'correspondence', 'between', 'string', 'theory', 'in', 'ads', 'space', 'and', 'conformal', 'field', 'theories', 'in', 'physical', 'spacetime', 'leads', 'to', 'an', 'analytic', 'semiclassical', 'model', 'for', 'stronglycoupled', 'qcd', 'which', 'has', 'scale', 'invariance', 'and', 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709.2073 | Strong asymptotics for Christoffel functions of planar measures | We prove a version of strong asymptotics of Christoffel functions with
varying weights for a general class of sets E and measures in the complex
plane. This class includes all regular measures in the sense of Stahl-Totik on
regular compact sets E in the plane and even allows varying weights. Our main
theorems cover some known results for subsets E of the real line R; in
particular, we recover information in the case of E=R with Lebesgue measure dx
and weight w(x) = exp(-Q(x)) where Q(x) is a nonnegative, even degree
polynomial having positive leading coefficient.
| math.CV math.CA | we prove a version of strong asymptotics of christoffel functions with varying weights for a general class of sets e and measures in the complex plane this class includes all regular measures in the sense of stahltotik on regular compact sets e in the plane and even allows varying weights our main theorems cover some known results for subsets e of the real line r in particular we recover information in the case of er with lebesgue measure dx and weight wx expqx where qx is a nonnegative even degree polynomial having positive leading coefficient | [['we', 'prove', 'a', 'version', 'of', 'strong', 'asymptotics', 'of', 'christoffel', 'functions', 'with', 'varying', 'weights', 'for', 'a', 'general', 'class', 'of', 'sets', 'e', 'and', 'measures', 'in', 'the', 'complex', 'plane', 'this', 'class', 'includes', 'all', 'regular', 'measures', 'in', 'the', 'sense', 'of', 'stahltotik', 'on', 'regular', 'compact', 'sets', 'e', 'in', 'the', 'plane', 'and', 'even', 'allows', 'varying', 'weights', 'our', 'main', 'theorems', 'cover', 'some', 'known', 'results', 'for', 'subsets', 'e', 'of', 'the', 'real', 'line', 'r', 'in', 'particular', 'we', 'recover', 'information', 'in', 'the', 'case', 'of', 'er', 'with', 'lebesgue', 'measure', 'dx', 'and', 'weight', 'wx', 'expqx', 'where', 'qx', 'is', 'a', 'nonnegative', 'even', 'degree', 'polynomial', 'having', 'positive', 'leading', 'coefficient']] | [-0.14789184300783784, 0.05186472030479134, -0.022104520093094795, 0.055888712158466275, -0.04648783144124962, -0.14688918207019092, 0.013873308634464728, 0.3531032203042761, -0.2798342323921462, -0.17625844562327134, 0.06868949252492847, -0.31087178299268536, -0.13406489506126085, 0.2069127729975004, -0.09241595953465143, 0.035525738568778366, 0.046925007058505684, 0.09867835115205417, -0.061763550018634095, -0.26686205008275254, 0.38440758459012403, -0.038415390938678955, 0.1984800150360357, 0.04335282659752572, 0.08471712242611287, 0.048580558688201485, -0.06965810208373327, 0.037033970051623406, -0.17350006918918262, 0.12242545469594683, 0.24192424336487942, 0.10884628068665637, 0.24826320803704413, -0.30866408328268125, -0.16321047276575515, 0.2338010527929192, 0.06935619568808916, -0.00485637870201088, 0.02387398597412802, -0.23948988006103467, 0.12345509800782546, -0.09520220091121216, -0.17467745450979216, -0.06614410986212339, 0.09703250132263341, 0.09016517317913314, -0.3432583225732471, 0.027076702248528005, 0.11016327943008869, 0.055686229344536646, -0.07158997736157889, -0.14948160972005312, -0.011101658364381404, 0.08220065495573935, -0.015058615336571126, 0.08166036179457653, 0.032361476315542106, -0.07124978404720017, -0.08474501862037094, 0.3435140113802032, -0.07892875268094321, -0.2737613760450102, 0.1634916948461707, -0.2379415794275701, -0.17091168019365757, 0.08710984308074446, 0.14658705503283503, 0.16854843904420316, -0.0573774710535369, 0.19674488784747812, -0.07900626757931449, 0.10779156769685289, 0.127954874722723, 0.057332705337915846, 0.12826315805989694, 0.057295038709119755, 0.11015391986856753, 0.16319021891475596, -0.05675889111490563, -0.06288910608619769, -0.32392576877820367, -0.1310544959021772, -0.1861996632577118, 0.0972049046565402, -0.16828426409050193, -0.2096360904707058, 0.39451937283825206, 0.04229768880821289, 0.23432807646632353, 0.1346124729359562, 0.18458787715458808, 0.10940900012390053, 0.01875310948742752, 0.08805977563532268, 0.10389498791296996, 0.1467982950432107, 0.06253867304854174, -0.10677349246899656, 0.0650094158125749, 0.09133905724949262] |
709.2074 | Generalized entropies and open random and scale-free networks | We propose the concept of open network as an arbitrary selection of nodes of
a large unknown network. Using the hypothesis that information of the whole
network structure can be extrapolated from an arbitrary set of its nodes, we
use Renyi mutual entropies in different q-orders to establish the minimum
critical size of a random set of nodes that represents reliably the information
of the main network structure. We also identify the clusters of nodes
responsible for the structure of their containing network.
| cond-mat.dis-nn cs.NI physics.soc-ph | we propose the concept of open network as an arbitrary selection of nodes of a large unknown network using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes we use renyi mutual entropies in different qorders to establish the minimum critical size of a random set of nodes that represents reliably the information of the main network structure we also identify the clusters of nodes responsible for the structure of their containing network | [['we', 'propose', 'the', 'concept', 'of', 'open', 'network', 'as', 'an', 'arbitrary', 'selection', 'of', 'nodes', 'of', 'a', 'large', 'unknown', 'network', 'using', 'the', 'hypothesis', 'that', 'information', 'of', 'the', 'whole', 'network', 'structure', 'can', 'be', 'extrapolated', 'from', 'an', 'arbitrary', 'set', 'of', 'its', 'nodes', 'we', 'use', 'renyi', 'mutual', 'entropies', 'in', 'different', 'qorders', 'to', 'establish', 'the', 'minimum', 'critical', 'size', 'of', 'a', 'random', 'set', 'of', 'nodes', 'that', 'represents', 'reliably', 'the', 'information', 'of', 'the', 'main', 'network', 'structure', 'we', 'also', 'identify', 'the', 'clusters', 'of', 'nodes', 'responsible', 'for', 'the', 'structure', 'of', 'their', 'containing', 'network']] | [-0.18219340067491474, 0.07328977633628107, -0.056405161297038556, 0.05163352734532701, -0.035918853245675564, -0.09845657687611788, 0.10806255819029119, 0.33396035301252214, -0.30872649662421053, -0.30671939239220086, 0.07373108659135963, -0.2575542680604989, -0.16217251584012377, 0.11445351489763482, -0.042645398841564916, 0.04365387933640124, 0.038807390557871344, 0.12758177223177739, -0.02157630568863936, -0.23218075295136006, 0.38769900599909746, 0.05414465537676251, 0.26860055658708226, 0.03489370933026973, 0.11246125169199364, 0.017135192359606904, -0.00913138879485518, 0.048419416224281024, -0.1112930140949306, 0.1808176498098512, 0.23906119666847747, 0.19609267624966092, 0.29210270289051155, -0.41348628203822185, -0.2064548783138933, 0.13675630950447487, 0.12442966533757477, 0.13234473762091203, 0.04458005235990487, -0.27797145305863435, 0.13116893949862346, -0.17188386259220417, -0.1121465402083045, -0.04483356022876295, -0.008844606039753879, 0.0342426698385592, -0.26165399503408854, 0.044614411578780176, 0.019168759999145944, 0.02460959761302514, -0.05434019412320803, -0.0825047133916832, -0.062280604145938466, 0.25219639320296783, -0.02934037097337016, 0.01412629369500441, 0.1217875352454742, -0.1218591679830149, -0.12471805034339967, 0.32994005176047964, -0.0046560226670320495, -0.16925000273678675, 0.14783969779599862, -0.09500334824783256, -0.14893652922305536, 0.09274948237979987, 0.2366157095565135, 0.09095803253823914, -0.18526582495261723, 0.031628841096647535, -0.08121218411139695, 0.166553799184993, 0.01606132411005267, 0.07360496477459569, 0.19895666164447026, 0.19120333301105413, 0.08551624220941799, 0.21359470202615596, -0.13608491586813007, -0.05143724814483739, -0.303072261040559, -0.1513906500627657, -0.25968054409352054, 0.034594767143478596, -0.1899779091577932, -0.20724664309836296, 0.42469295554132347, 0.1740462227937687, 0.26511660986860475, 0.05725276005645114, 0.24694672547819385, 0.05578782732762587, 0.10656144966214266, 0.13607887534357338, 0.15943545145711985, 0.118427793360708, 0.036042929506378184, -0.18687432969314416, 0.11447005791881357, 0.032270992343055915] |
709.2075 | Detecting Chameleons through Casimir Force Measurements | The best laboratory constraints on strongly coupled chameleon fields come not
from tests of gravity per se but from precision measurements of the Casimir
force. The chameleonic force between two nearby bodies is more akin to a
Casimir-like force than a gravitational one: The chameleon force behaves as an
inverse power of the distance of separation between the surfaces of two bodies,
just as the Casimir force does. Additionally, experimental tests of gravity
often employ a thin metallic sheet to shield electrostatic forces, however this
sheet mask any detectable signal due to the presence of a strongly coupled
chameleon field. As a result of this shielding, experiments that are designed
to specifically test the behaviour of gravity are often unable to place any
constraint on chameleon fields with a strong coupling to matter. Casimir force
measurements do not employ a physical electrostatic shield and as such are able
to put tighter constraints on the properties of chameleons fields with a strong
matter coupling than tests of gravity. Motivated by this, we perform a full
investigation on the possibility of testing chameleon model with both present
and future Casimir experiments. We find that present days measurements are not
able to detect the chameleon. However, future experiments have a strong
possibility of detecting or rule out a whole class of chameleon models.
| hep-ph | the best laboratory constraints on strongly coupled chameleon fields come not from tests of gravity per se but from precision measurements of the casimir force the chameleonic force between two nearby bodies is more akin to a casimirlike force than a gravitational one the chameleon force behaves as an inverse power of the distance of separation between the surfaces of two bodies just as the casimir force does additionally experimental tests of gravity often employ a thin metallic sheet to shield electrostatic forces however this sheet mask any detectable signal due to the presence of a strongly coupled chameleon field as a result of this shielding experiments that are designed to specifically test the behaviour of gravity are often unable to place any constraint on chameleon fields with a strong coupling to matter casimir force measurements do not employ a physical electrostatic shield and as such are able to put tighter constraints on the properties of chameleons fields with a strong matter coupling than tests of gravity motivated by this we perform a full investigation on the possibility of testing chameleon model with both present and future casimir experiments we find that present days measurements are not able to detect the chameleon however future experiments have a strong possibility of detecting or rule out a whole class of chameleon models | [['the', 'best', 'laboratory', 'constraints', 'on', 'strongly', 'coupled', 'chameleon', 'fields', 'come', 'not', 'from', 'tests', 'of', 'gravity', 'per', 'se', 'but', 'from', 'precision', 'measurements', 'of', 'the', 'casimir', 'force', 'the', 'chameleonic', 'force', 'between', 'two', 'nearby', 'bodies', 'is', 'more', 'akin', 'to', 'a', 'casimirlike', 'force', 'than', 'a', 'gravitational', 'one', 'the', 'chameleon', 'force', 'behaves', 'as', 'an', 'inverse', 'power', 'of', 'the', 'distance', 'of', 'separation', 'between', 'the', 'surfaces', 'of', 'two', 'bodies', 'just', 'as', 'the', 'casimir', 'force', 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709.2076 | The Stellar Content of Galaxy Halos: A Comparison between LambdaCDM
Models and Observations of M31 | Recent observations have revealed that high surface-brightness, metal-rich
debris is present over large regions of the Andromeda (M31) stellar halo. We
use a set of numerical models to determine whether extended metal-rich debris
is expected to exist in galaxy halos formed in a hierarchical LambdaCDM
universe. We identify tidal debris in the simulations according to the current
best surface brightness detection limits in M31 and demonstrate that bright
features in the outer halo regions usually originate from single satellites,
with very little contamination from other sources due to the low probability of
tidal streams from two overlapping accretion events. In contrast, high-surface
brightness features in the inner halo often originate from multiple
progenitors. We also compare the age and metallicity distribution of the debris
with the well-mixed stellar halos in which they reside. We find that
high-surface brightness tidal debris is produced almost exclusively by
relatively high mass progenitors (Mstar ~ 10^7- 10^9 Msun) and thus is expected
to be of moderate- to high-metallicity. Similarly, in our models the smooth
inner halo is expected to be metal-rich as this region has been built up mainly
from massive satellites. Our results imply that the stellar populations of
substructure observed around external galaxies with current techniques should
not resemble old and metal-poor dwarf spheroidal satellites, nor the underlying
component of the stellar halo.
| astro-ph | recent observations have revealed that high surfacebrightness metalrich debris is present over large regions of the andromeda m31 stellar halo we use a set of numerical models to determine whether extended metalrich debris is expected to exist in galaxy halos formed in a hierarchical lambdacdm universe we identify tidal debris in the simulations according to the current best surface brightness detection limits in m31 and demonstrate that bright features in the outer halo regions usually originate from single satellites with very little contamination from other sources due to the low probability of tidal streams from two overlapping accretion events in contrast highsurface brightness features in the inner halo often originate from multiple progenitors we also compare the age and metallicity distribution of the debris with the wellmixed stellar halos in which they reside we find that highsurface brightness tidal debris is produced almost exclusively by relatively high mass progenitors mstar 107 109 msun and thus is expected to be of moderate to highmetallicity similarly in our models the smooth inner halo is expected to be metalrich as this region has been built up mainly from massive satellites our results imply that the stellar populations of substructure observed around external galaxies with current techniques should not resemble old and metalpoor dwarf spheroidal satellites nor the underlying component of the stellar halo | [['recent', 'observations', 'have', 'revealed', 'that', 'high', 'surfacebrightness', 'metalrich', 'debris', 'is', 'present', 'over', 'large', 'regions', 'of', 'the', 'andromeda', 'm31', 'stellar', 'halo', 'we', 'use', 'a', 'set', 'of', 'numerical', 'models', 'to', 'determine', 'whether', 'extended', 'metalrich', 'debris', 'is', 'expected', 'to', 'exist', 'in', 'galaxy', 'halos', 'formed', 'in', 'a', 'hierarchical', 'lambdacdm', 'universe', 'we', 'identify', 'tidal', 'debris', 'in', 'the', 'simulations', 'according', 'to', 'the', 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709.2077 | The XMM large scale structure survey: optical vs. X-ray classifications
of active galactic nuclei and the unified scheme | Our goal is to characterize AGN populations by comparing their X-ray and
optical classifications. We present a sample of 99 spectroscopically identified
X-ray point sources in the XMM-LSS survey which are significantly detected in
the [2-10] keV band, and with more than 80 counts. We performed an X-ray
spectral analysis for all of these 99 X-ray sources. Introducing the fourfold
point correlation coefficient, we find only a mild correlation between the
X-ray and the optical classifications, as up to 30% of the sources have
differing X-ray and optical classifications: on one hand, 10% of the type 1
sources present broad emission lines in their optical spectra and strong
absorption in the X-rays. These objects are highly luminous AGN lying at high
redshift and thus dilution effects are totally ruled out, their discrepant
nature being an intrinsic property. Their X-ray luminosities and redshifts
distributions are consistent with those of the unabsorbed X-ray sources with
broad emission lines. On the other hand, 25/32 are moderate luminosity AGN,
which are both unabsorbed in the X-rays and only present narrow emission lines
in their optical spectra. The majority of them have an optical spectrum which
is representative of the host galaxy. We finally infer that dilution of the AGN
by the host galaxy seems to account for their nature. 5/25 have been defined as
Seyfert 2. In conclusion, most of these 32 discrepant cases can be accounted
for by the standard AGN unified scheme, as its predictions are not met for only
12% of the 99 X-ray sources. ABRIDGED
| astro-ph | our goal is to characterize agn populations by comparing their xray and optical classifications we present a sample of 99 spectroscopically identified xray point sources in the xmmlss survey which are significantly detected in the 210 kev band and with more than 80 counts we performed an xray spectral analysis for all of these 99 xray sources introducing the fourfold point correlation coefficient we find only a mild correlation between the xray and the optical classifications as up to 30 of the sources have differing xray and optical classifications on one hand 10 of the type 1 sources present broad emission lines in their optical spectra and strong absorption in the xrays these objects are highly luminous agn lying at high redshift and thus dilution effects are totally ruled out their discrepant nature being an intrinsic property their xray luminosities and redshifts distributions are consistent with those of the unabsorbed xray sources with broad emission lines on the other hand 2532 are moderate luminosity agn which are both unabsorbed in the xrays and only present narrow emission lines in their optical spectra the majority of them have an optical spectrum which is representative of the host galaxy we finally infer that dilution of the agn by the host galaxy seems to account for their nature 525 have been defined as seyfert 2 in conclusion most of these 32 discrepant cases can be accounted for by the standard agn unified scheme as its predictions are not met for only 12 of the 99 xray sources abridged | [['our', 'goal', 'is', 'to', 'characterize', 'agn', 'populations', 'by', 'comparing', 'their', 'xray', 'and', 'optical', 'classifications', 'we', 'present', 'a', 'sample', 'of', '99', 'spectroscopically', 'identified', 'xray', 'point', 'sources', 'in', 'the', 'xmmlss', 'survey', 'which', 'are', 'significantly', 'detected', 'in', 'the', '210', 'kev', 'band', 'and', 'with', 'more', 'than', '80', 'counts', 'we', 'performed', 'an', 'xray', 'spectral', 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-0.03848197581976944] |
709.2078 | Positrons from dark matter annihilation in the galactic halo:
uncertainties | Indirect detection signals from dark matter annihilation are studied in the
positron channel. We discuss in detail the positron propagation inside the
galactic medium: we present novel solutions of the diffusion and propagation
equations and we focus on the determination of the astrophysical uncertainties
which affect the positron dark matter signal. We show that, especially in the
low energy tail of the positron spectra at Earth, the uncertainty is sizeable
and we quantify the effect. Comparison of our predictions with current
available and foreseen experimental data are derived.
| astro-ph hep-ex hep-ph | indirect detection signals from dark matter annihilation are studied in the positron channel we discuss in detail the positron propagation inside the galactic medium we present novel solutions of the diffusion and propagation equations and we focus on the determination of the astrophysical uncertainties which affect the positron dark matter signal we show that especially in the low energy tail of the positron spectra at earth the uncertainty is sizeable and we quantify the effect comparison of our predictions with current available and foreseen experimental data are derived | [['indirect', 'detection', 'signals', 'from', 'dark', 'matter', 'annihilation', 'are', 'studied', 'in', 'the', 'positron', 'channel', 'we', 'discuss', 'in', 'detail', 'the', 'positron', 'propagation', 'inside', 'the', 'galactic', 'medium', 'we', 'present', 'novel', 'solutions', 'of', 'the', 'diffusion', 'and', 'propagation', 'equations', 'and', 'we', 'focus', 'on', 'the', 'determination', 'of', 'the', 'astrophysical', 'uncertainties', 'which', 'affect', 'the', 'positron', 'dark', 'matter', 'signal', 'we', 'show', 'that', 'especially', 'in', 'the', 'low', 'energy', 'tail', 'of', 'the', 'positron', 'spectra', 'at', 'earth', 'the', 'uncertainty', 'is', 'sizeable', 'and', 'we', 'quantify', 'the', 'effect', 'comparison', 'of', 'our', 'predictions', 'with', 'current', 'available', 'and', 'foreseen', 'experimental', 'data', 'are', 'derived']] | [-0.09063224636007693, 0.1398585997310213, -0.05526810976020484, 0.144829928318028, -0.07229752108370038, -0.046745625853707846, -0.005586200819710608, 0.36921269103715365, -0.2525716259472326, -0.33454278705175966, 0.03722506961176722, -0.33157767896244134, -0.021505990363287063, 0.18933129601646215, 0.03356714151926677, 0.04663538856601173, 0.06767167361844754, 0.007297638126394965, -0.04424881258587861, -0.1986788568637249, 0.2929342984941534, 0.1231662854499353, 0.27528448145709594, 0.12862691210731017, 0.09204162620351947, -0.005292523916233966, -0.11320117355154996, -0.056875773049383, -0.16585660274234792, 0.10467206845483319, 0.21949755129489032, 0.11604208092566379, 0.1150658511059274, -0.4553610358852893, -0.24494475178653374, 0.147066355219894, 0.14121520264730367, 0.1219497413033175, -0.1421153306794374, -0.3230116539846428, 0.04585257927299773, -0.19099872827064246, -0.07897115050615287, -0.00915946716188707, -0.02296559028433297, 0.05488161480752751, -0.21459279481363905, 0.13312681685056305, -0.027126740717159755, -0.026235524607314306, -0.13645914270521395, -0.16206923974889584, 0.026035394083010033, 0.0384831606219946, 0.09129214587631974, -0.05164041963342408, 0.19966692755803128, -0.17752273405097763, -0.08401675362520936, 0.4172596796415746, -0.11065003119239752, -0.13431053320792588, 0.1556841670251081, -0.22842253168015636, -0.1227123325330798, 0.14038976703886874, 0.22758539746494286, 0.0629555064078886, -0.13719645989212123, 0.0797545605987993, -0.01177307054802606, 0.12631526409479027, 0.008187006243546917, 0.06546255221209404, 0.24182063080793756, 0.20971936518749731, 0.016551970922261138, 0.0736432184190066, -0.21692950757675467, -0.03169446322664788, -0.326740251057014, -0.13278999127743935, -0.11757341045251285, 0.0018405414567413654, -0.04065800884100926, -0.07998270481105217, 0.38484166392167524, 0.18290289876643906, 0.19729858974725092, -0.012205055156796747, 0.3636913826234046, 0.10975907370580403, -0.010099143033254553, 0.07390891110249372, 0.3676615714899857, 0.12461584600069645, 0.11095618729648943, -0.263718421848766, 0.07288045137697323, -0.0761706389603205] |
709.2079 | FADE, an instrument to measure the atmospheric coherence time | After proposing a new method of deriving the atmospheric time constant from
the speed of focus variations (Kellerer & Tokovinin 2007), we now implement it
with the new instrument, FADE. FADE uses a 36-cm Celestron telescope that is
modified to transform stellar point images into a ring by increasing the
central obstruction and combining defocus with spherical aberration. Sequences
of images recorded with a fast CCD detector are processed to determine the
defocus and its variations in time from the ring radii. The temporal structure
function of the defocus is fitted with a model to derive the atmospheric seeing
and time constant. We investigated by numerical simulation the data reduction
algorithm and instrumental biases. Bias caused by instrumental effects, such as
optical aberrations, detector noise, acquisition frequency, etc., is
quantified. The ring image must be well-focused, i.e. must have a sufficiently
sharp radial profile, otherwise, scintillation seriously affects the results.
An acquisition frequency of 700 Hz appears adequate. FADE was operated for 5
nights at the Cerro Tololo observatory in parallel with the regular site
monitor. Reasonable agreement between the results from the two instruments has
been obtained.
| astro-ph | after proposing a new method of deriving the atmospheric time constant from the speed of focus variations kellerer tokovinin 2007 we now implement it with the new instrument fade fade uses a 36cm celestron telescope that is modified to transform stellar point images into a ring by increasing the central obstruction and combining defocus with spherical aberration sequences of images recorded with a fast ccd detector are processed to determine the defocus and its variations in time from the ring radii the temporal structure function of the defocus is fitted with a model to derive the atmospheric seeing and time constant we investigated by numerical simulation the data reduction algorithm and instrumental biases bias caused by instrumental effects such as optical aberrations detector noise acquisition frequency etc is quantified the ring image must be wellfocused ie must have a sufficiently sharp radial profile otherwise scintillation seriously affects the results an acquisition frequency of 700 hz appears adequate fade was operated for 5 nights at the cerro tololo observatory in parallel with the regular site monitor reasonable agreement between the results from the two instruments has been obtained | [['after', 'proposing', 'a', 'new', 'method', 'of', 'deriving', 'the', 'atmospheric', 'time', 'constant', 'from', 'the', 'speed', 'of', 'focus', 'variations', 'kellerer', 'tokovinin', '2007', 'we', 'now', 'implement', 'it', 'with', 'the', 'new', 'instrument', 'fade', 'fade', 'uses', 'a', '36cm', 'celestron', 'telescope', 'that', 'is', 'modified', 'to', 'transform', 'stellar', 'point', 'images', 'into', 'a', 'ring', 'by', 'increasing', 'the', 'central', 'obstruction', 'and', 'combining', 'defocus', 'with', 'spherical', 'aberration', 'sequences', 'of', 'images', 'recorded', 'with', 'a', 'fast', 'ccd', 'detector', 'are', 'processed', 'to', 'determine', 'the', 'defocus', 'and', 'its', 'variations', 'in', 'time', 'from', 'the', 'ring', 'radii', 'the', 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'has', 'been', 'obtained']] | [-0.0963401028658614, 0.12665000656860323, -0.1203567495354281, 0.06038417194416666, -0.06803976594700768, -0.15949672003907542, 0.0056282509924463365, 0.42646424753731615, -0.2492258645761858, -0.3530399471030681, 0.15369688375522533, -0.27300776428072365, -0.0954436032697358, 0.22349458969178138, -0.10683847937741697, 0.036295411697406105, 0.11056688108972164, -0.02660881110431967, -0.06633433246652105, -0.2335900357456237, 0.23447843635785243, 0.147825731895864, 0.2353570824351302, -0.019276883973870226, 0.14273704718926705, -0.008480193659222575, -0.10607583829582298, 0.022590443287895973, -0.10670217014092642, 0.023459587576648882, 0.23679268406453713, 0.12320150726760228, 0.2184775598504911, -0.4152205202588311, -0.19404506363019708, 0.061321357225057896, 0.10176266095931491, 0.04778854088402123, -0.044449735343987024, -0.3101836597723436, 0.03419135566500406, -0.12545760112792073, -0.1502064028604617, 0.014859226872998675, 0.014137838062109245, 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709.208 | Well-Posedness and Symmetries of Strongly Coupled Network Equations | We consider a diffusion process on the edges of a finite network and allow
for feedback effects between different, possibly non-adjacent edges. This
generalizes the setting that is common in the literature, where the only
considered interactions take place at the boundary, i. e., in the nodes of the
network. We discuss well-posedness of the associated initial value problem as
well as contractivity and positivity properties of its solutions. Finally, we
discuss qualitative properties that can be formulated in terms of invariance of
linear subspaces of the state space, i. e., of symmetries of the associated
physical system. Applications to a neurobiological model as well as to a system
of linear Schroedinger equations on a quantum graph are discussed.
| math.FA math-ph math.MP | we consider a diffusion process on the edges of a finite network and allow for feedback effects between different possibly nonadjacent edges this generalizes the setting that is common in the literature where the only considered interactions take place at the boundary i e in the nodes of the network we discuss wellposedness of the associated initial value problem as well as contractivity and positivity properties of its solutions finally we discuss qualitative properties that can be formulated in terms of invariance of linear subspaces of the state space i e of symmetries of the associated physical system applications to a neurobiological model as well as to a system of linear schroedinger equations on a quantum graph are discussed | [['we', 'consider', 'a', 'diffusion', 'process', 'on', 'the', 'edges', 'of', 'a', 'finite', 'network', 'and', 'allow', 'for', 'feedback', 'effects', 'between', 'different', 'possibly', 'nonadjacent', 'edges', 'this', 'generalizes', 'the', 'setting', 'that', 'is', 'common', 'in', 'the', 'literature', 'where', 'the', 'only', 'considered', 'interactions', 'take', 'place', 'at', 'the', 'boundary', 'i', 'e', 'in', 'the', 'nodes', 'of', 'the', 'network', 'we', 'discuss', 'wellposedness', 'of', 'the', 'associated', 'initial', 'value', 'problem', 'as', 'well', 'as', 'contractivity', 'and', 'positivity', 'properties', 'of', 'its', 'solutions', 'finally', 'we', 'discuss', 'qualitative', 'properties', 'that', 'can', 'be', 'formulated', 'in', 'terms', 'of', 'invariance', 'of', 'linear', 'subspaces', 'of', 'the', 'state', 'space', 'i', 'e', 'of', 'symmetries', 'of', 'the', 'associated', 'physical', 'system', 'applications', 'to', 'a', 'neurobiological', 'model', 'as', 'well', 'as', 'to', 'a', 'system', 'of', 'linear', 'schroedinger', 'equations', 'on', 'a', 'quantum', 'graph', 'are', 'discussed']] | [-0.1541297345015244, 0.07404014662283809, -0.04211585274398593, 0.0581984699654625, -0.06308017054791837, -0.11840641450042985, 0.03040145503302269, 0.3344914988622445, -0.30583688940367654, -0.2460032511784249, 0.12867805040578412, -0.2792642247929637, -0.15965041171508929, 0.13601410021700217, -0.05751141202401276, 0.06414348853530925, 0.05680513007081106, 0.06602633530039247, -0.05744480585460277, -0.21612430698783217, 0.36729447761190537, 0.011994851012557683, 0.218721047570115, 0.05331654781099025, 0.12659712748977692, 0.010822666908747383, 0.018769422663422693, 0.056781619672512856, -0.12180922099767241, 0.07243840714834411, 0.2355448277363898, 0.12062210477340747, 0.2675234480220981, -0.45322184372661994, -0.24130598731151148, 0.10351871109778892, 0.11967847459096492, 0.08766461640377254, 0.006373027727954841, -0.2807498236945948, 0.06930417063286011, -0.1398603890517711, -0.12261621132806069, -0.04352776804046721, 0.02796236193590179, 0.042384554181219704, -0.26499181779633674, 0.07445478204543851, 0.08705126869437449, 0.031417830369803085, -0.09898251743239797, -0.10627505193002709, -0.04666334652819303, 0.13031446385126905, 0.02498626904420265, -0.016325728318207906, 0.08083131159714446, -0.15408329994949913, -0.14002769197016454, 0.41300453615038335, -0.042804519067217106, -0.22318362452465446, 0.20669166795017213, -0.10690830057064275, -0.13709351599232114, 0.0346276522653193, 0.2175863702280619, 0.11103455137320552, -0.12692061412156003, 0.12133526100734045, -0.06051262761045545, 0.08527563153100866, 0.030889368410605716, 0.08523196382682864, 0.13970006310905353, 0.1511241512279175, 0.10152763113019471, 0.14846519098965405, -0.01914366995896205, -0.10730863947953496, -0.37860719379068924, -0.16397683507520236, -0.18675075155221113, 0.0631602259505415, -0.09926997134907116, -0.15682651743120632, 0.41202766613001707, 0.15053195471507536, 0.2669620920684846, 0.03193560158422984, 0.22912162990395388, 0.1422809723572915, 0.033698930557692, 0.04633238851366674, 0.20428190374073862, 0.14875213077150973, 0.08898384328305471, -0.22751227716774436, 0.07958582061452463, 0.0912446802806798] |
709.2081 | Combined MASS-DIMM instrument for atmospheric turbulence studies | Several site-testing programs and observatories currently use combined
MASS-DIMM instruments for monitoring parameters of optical turbulence. The
instrument is described here. After a short recall of the measured quantities
and operational principles, the optics and electronics of MASS-DIMM,
interfacing to telescopes and detectors, and operation are covered in some
detail. Particular attention is given to the correct measurement and control of
instrumental parameters to ensure valid and well-calibrated data, to the data
quality and filtering. Examples of MASS-DIMM data are given, followed by the
list of present and future applications.
| astro-ph | several sitetesting programs and observatories currently use combined massdimm instruments for monitoring parameters of optical turbulence the instrument is described here after a short recall of the measured quantities and operational principles the optics and electronics of massdimm interfacing to telescopes and detectors and operation are covered in some detail particular attention is given to the correct measurement and control of instrumental parameters to ensure valid and wellcalibrated data to the data quality and filtering examples of massdimm data are given followed by the list of present and future applications | [['several', 'sitetesting', 'programs', 'and', 'observatories', 'currently', 'use', 'combined', 'massdimm', 'instruments', 'for', 'monitoring', 'parameters', 'of', 'optical', 'turbulence', 'the', 'instrument', 'is', 'described', 'here', 'after', 'a', 'short', 'recall', 'of', 'the', 'measured', 'quantities', 'and', 'operational', 'principles', 'the', 'optics', 'and', 'electronics', 'of', 'massdimm', 'interfacing', 'to', 'telescopes', 'and', 'detectors', 'and', 'operation', 'are', 'covered', 'in', 'some', 'detail', 'particular', 'attention', 'is', 'given', 'to', 'the', 'correct', 'measurement', 'and', 'control', 'of', 'instrumental', 'parameters', 'to', 'ensure', 'valid', 'and', 'wellcalibrated', 'data', 'to', 'the', 'data', 'quality', 'and', 'filtering', 'examples', 'of', 'massdimm', 'data', 'are', 'given', 'followed', 'by', 'the', 'list', 'of', 'present', 'and', 'future', 'applications']] | [-0.10041953215582503, 0.0936011345740149, -0.03956344981367389, 0.0657872780976403, -0.08119195750397112, -0.1450502168956316, 0.034380633836715586, 0.42606559321284293, -0.21812629118147825, -0.3771540780706952, 0.21017695277696474, -0.3112879551377975, -0.07034092407104456, 0.30191071931686664, -0.09397802377223141, 0.1315663528525167, 0.11936424078368064, -0.05780444250752528, -0.05940268525025911, -0.2366671970165852, 0.2250844502200683, 0.1535714712097413, 0.2546546727160199, 9.60584833390183e-05, 0.16162842305558217, 0.018209627125826147, -0.13649833771503633, 0.005930389939910836, -0.1274591319363228, 0.11293735772164332, 0.3277332608846741, 0.18440631582505174, 0.22351262607715197, -0.4147127948701382, -0.18170047531473554, 0.028258924927407256, 0.023383721372293723, 0.041301274423797926, -0.03216137324666812, -0.3009205984158648, -0.004448785496384112, -0.1441453628655937, -0.12503357325266634, -0.09444036755400399, 0.010279938682085939, 0.0780330896248213, -0.2577756997728203, -0.04104807957903379, -0.02090043327253726, 0.10733194357405106, -0.056688768406295116, -0.11271814897449481, -0.006255617772694677, 0.15263495500096017, -0.006563808629289269, -0.005091156121246361, 0.1217625170545135, -0.14951180841049386, -0.0927054652142235, 0.3705602200779443, -0.02579994349119564, -0.10473988919208448, 0.14864506029213467, -0.13786164323488873, -0.15196434372208184, 0.09578196035387615, 0.17400106851839356, 0.06300415799228681, -0.2037687410445263, 0.019060667401855528, 0.09824118853300913, 0.16847637286927136, 0.03823140330302219, 0.10613484300879969, 0.185135276015434, 0.2052896274680582, 0.017268616364647944, 0.09088566445279866, -0.1449217631184082, -0.01990709869811932, -0.31804345869976614, -0.1263393256554587, -0.16089772538075017, -0.023546762883456217, -0.013364212029814047, -0.0961500697898575, 0.42008601911365984, 0.21034979209717777, 0.11879652835842636, 0.019570902659971683, 0.3352436720704039, 0.05987895113260796, 0.08799661329378271, -0.005737926792870793, 0.276005478365308, 0.10577486704051908, 0.13239543578690952, -0.14383819106345375, 0.055314508597883914, -0.04132908485415909] |
709.2082 | Localized non-diffusive asymptotic patterns for nonlinear parabolic
equations with gradient absorption | We study the large-time behaviour of the solutions $u$ of the evolution
equation involving nonlinear diffusion and gradient absorption $\partial_t u -
\Delta_p u + |\nabla u|^q=0$. We consider the problem posed for $x\in {\mathbb
R}^N $ and $t>0$ with non-negative and compactly supported initial data. We
take the exponent $p>2$ which corresponds to slow $p$-Laplacian diffusion, and
the exponent $q$ in the superlinear range $1<q<p-1$. In this range the
influence of the Hamilton-Jacobi term $ |\nabla u|^q$ is determinant, and gives
rise to the phenomenon of localization. The large time behaviour is described
in terms of a suitable self-similar solution that solves a Hamilton-Jacobi
equation. The shape of the corresponding spatial pattern is rather conical
instead of bell-shaped or parabolic.
| math.AP | we study the largetime behaviour of the solutions u of the evolution equation involving nonlinear diffusion and gradient absorption partial_t u delta_p u nabla uq0 we consider the problem posed for xin mathbb rn and t0 with nonnegative and compactly supported initial data we take the exponent p2 which corresponds to slow plaplacian diffusion and the exponent q in the superlinear range 1qp1 in this range the influence of the hamiltonjacobi term nabla uq is determinant and gives rise to the phenomenon of localization the large time behaviour is described in terms of a suitable selfsimilar solution that solves a hamiltonjacobi equation the shape of the corresponding spatial pattern is rather conical instead of bellshaped or parabolic | [['we', 'study', 'the', 'largetime', 'behaviour', 'of', 'the', 'solutions', 'u', 'of', 'the', 'evolution', 'equation', 'involving', 'nonlinear', 'diffusion', 'and', 'gradient', 'absorption', 'partial_t', 'u', 'delta_p', 'u', 'nabla', 'uq0', 'we', 'consider', 'the', 'problem', 'posed', 'for', 'xin', 'mathbb', 'rn', 'and', 't0', 'with', 'nonnegative', 'and', 'compactly', 'supported', 'initial', 'data', 'we', 'take', 'the', 'exponent', 'p2', 'which', 'corresponds', 'to', 'slow', 'plaplacian', 'diffusion', 'and', 'the', 'exponent', 'q', 'in', 'the', 'superlinear', 'range', '1qp1', 'in', 'this', 'range', 'the', 'influence', 'of', 'the', 'hamiltonjacobi', 'term', 'nabla', 'uq', 'is', 'determinant', 'and', 'gives', 'rise', 'to', 'the', 'phenomenon', 'of', 'localization', 'the', 'large', 'time', 'behaviour', 'is', 'described', 'in', 'terms', 'of', 'a', 'suitable', 'selfsimilar', 'solution', 'that', 'solves', 'a', 'hamiltonjacobi', 'equation', 'the', 'shape', 'of', 'the', 'corresponding', 'spatial', 'pattern', 'is', 'rather', 'conical', 'instead', 'of', 'bellshaped', 'or', 'parabolic']] | [-0.19235802122295417, 0.03463161942561093, -0.03462311851286233, 0.035312245226593625, -0.10303314430097214, -0.16724519880392172, -0.04637090142029498, 0.29743667086586356, -0.36765213162991506, -0.17586148286174083, 0.09086828750000207, -0.35418074486319556, -0.1036736542852756, 0.13649830022216614, -0.029571480559313607, 0.09165046247101694, 0.02399662974619724, 0.04327455700118223, -0.07906941169921052, -0.15878727424544573, 0.37542070984711934, -0.10200513063218436, 0.20293972283152156, 0.07864331947398726, 0.11977725158192634, -0.029709820483072566, 0.041026848400461266, -0.010715898885070506, -0.2193926801619141, 0.03459816726410344, 0.20210181281034803, 0.04880737700270778, 0.32439545998831504, -0.39056233547884844, -0.21998935386915852, 0.16579158424504165, 0.17122964608354557, 0.011380608485618221, -0.016779488390151025, -0.3052588423457125, 0.08152065833765564, -0.08496247620546613, -0.24644184874065606, -0.007757466430936394, 0.11096428838911755, 0.07208142533360434, -0.3395818249595448, 0.20281846046544097, 0.10486257721665958, -0.009534072608622754, -0.13329330366907705, -0.08435807511178327, -0.0059762413067550495, 0.04825113076568131, 0.061852780416615884, 0.09747506179124245, 0.037282285987046256, -0.12710147160948415, -0.0015375204384326935, 0.3924179854080209, -0.11752226938200504, -0.2627084063759208, 0.09838199814187427, -0.18626503351722554, -0.06756099733395567, 0.12247888454846267, 0.16755238685010257, 0.18002456524569926, -0.11556303262678456, 0.2205165638282904, -0.01207631862931082, 0.1429879921488464, 0.08170781932682891, -0.011283543960448226, 0.038271532747252236, 0.14568421041496613, 0.09556428617888114, 0.09499340753295812, -0.04712232885528998, -0.12578504143186428, -0.3376645141608355, -0.1244292824924522, -0.14553716571616201, 0.17392652473765716, -0.12739459233263664, -0.2047741701023589, 0.3704604338573549, 0.08580287236415235, 0.2115803375390583, 0.06996876025945752, 0.1524001005515135, 0.2361704816897239, -0.044566889359289076, 0.0788079105362252, 0.12307416886926212, 0.12304334334651779, 0.1861892776816666, -0.3050929057303463, 0.038848410958649014, 0.13896166218508935] |
709.2083 | Economic dynamics with financial fragility and mean-field interaction: a
model | Following the statistical mechanics methodology, firstly introduced in
macroeconomics by Aoki [1996,2002], we provide some insights to the well known
works of Greenwald and Stiglitz [1990, 1993]. Specifically, we reach
analytically a closed form solution of their models overcoming the aggregation
problem. The key idea is to represent the economy as an evolving complex
system, composed by heterogeneous interacting agents, that can partitioned into
a space of macroscopic states. This meso level of aggregation permits to adopt
mean field interaction modeling and master equation techniques.
| q-fin.ST physics.soc-ph | following the statistical mechanics methodology firstly introduced in macroeconomics by aoki 19962002 we provide some insights to the well known works of greenwald and stiglitz 1990 1993 specifically we reach analytically a closed form solution of their models overcoming the aggregation problem the key idea is to represent the economy as an evolving complex system composed by heterogeneous interacting agents that can partitioned into a space of macroscopic states this meso level of aggregation permits to adopt mean field interaction modeling and master equation techniques | [['following', 'the', 'statistical', 'mechanics', 'methodology', 'firstly', 'introduced', 'in', 'macroeconomics', 'by', 'aoki', '19962002', 'we', 'provide', 'some', 'insights', 'to', 'the', 'well', 'known', 'works', 'of', 'greenwald', 'and', 'stiglitz', '1990', '1993', 'specifically', 'we', 'reach', 'analytically', 'a', 'closed', 'form', 'solution', 'of', 'their', 'models', 'overcoming', 'the', 'aggregation', 'problem', 'the', 'key', 'idea', 'is', 'to', 'represent', 'the', 'economy', 'as', 'an', 'evolving', 'complex', 'system', 'composed', 'by', 'heterogeneous', 'interacting', 'agents', 'that', 'can', 'partitioned', 'into', 'a', 'space', 'of', 'macroscopic', 'states', 'this', 'meso', 'level', 'of', 'aggregation', 'permits', 'to', 'adopt', 'mean', 'field', 'interaction', 'modeling', 'and', 'master', 'equation', 'techniques']] | [-0.10894591192550519, 0.0863571711420424, -0.11111563427976387, 0.07854105792939663, -0.06082807290641701, -0.13555249758064747, 0.06898378851713942, 0.310799883284113, -0.2794449576560189, -0.3137786278829855, 0.053899949843146125, -0.23066495323745423, -0.19420429806718054, 0.1335936991169172, -0.07487402717199396, 0.03468105331575155, 0.016552944807335733, -0.018903872299158728, 0.012143432220224949, -0.24080503539127462, 0.3166541320217006, 0.03489741135717315, 0.278692157873336, 0.0047159695984138284, 0.13337183573885875, 0.019206749080844663, -0.016378161119406716, 0.04337086385520011, -0.15099674350460512, 0.16084470624610891, 0.25405887306435887, 0.16114462971249047, 0.3354140648399206, -0.4540982181315913, -0.24844246740891215, 0.06990605945671526, 0.17320206472102334, 0.10672484767787596, 0.014257968861013924, -0.3107144766213263, 0.01811317954732872, -0.1708878693444764, -0.16210863305639256, -0.10108751891838277, 0.007221137010492385, 0.026840159162769422, -0.22783815685440512, 0.06201882066533846, 0.06938393972951043, 0.019319473984925187, -0.10761920671827872, -0.09902529393678859, 0.01572985632399864, 0.14158738209482502, -0.013388626004769536, -0.004338082789977574, 0.12192698745056987, -0.0994179044439293, -0.12190679110285332, 0.36007539947681566, -0.031938673816073467, -0.20672904186717728, 0.1919658224701005, -0.04330835400477928, -0.14324498030850116, 0.09315785213496865, 0.186680508982938, 0.06874748917625231, -0.20732377580750513, 0.08030115526909118, -0.035216506493880466, 0.13443062548689982, 0.03899425914620652, -0.02199680234908181, 0.1858128045192536, 0.21370653485167115, 0.0164722511654391, 0.11493720938246149, -0.010312018324347104, -0.18817795160062173, -0.24247330164755967, -0.15340366198078675, -0.15479667897829238, 0.06790637344341068, -0.059626564755693404, -0.14637768576469493, 0.3691543432089555, 0.16499661524396608, 0.1587608860422145, 0.03329291039639536, 0.2727817301706904, 0.11766204123850912, 0.0020430568057824582, 0.07529720704290359, 0.18658114696667968, 0.14073804086895988, 0.10542369958232431, -0.1700530280071475, 0.057532746481763965, 0.07693005022045006] |
709.2084 | On the Riemannian geometry of Seiberg-Witten moduli spaces | We construct natural Riemannian metrics on Seiberg-Witten moduli spaces and
study their geometry.
| math.DG math-ph math.MP math.SG | we construct natural riemannian metrics on seibergwitten moduli spaces and study their geometry | [['we', 'construct', 'natural', 'riemannian', 'metrics', 'on', 'seibergwitten', 'moduli', 'spaces', 'and', 'study', 'their', 'geometry']] | [-0.17635195816938692, 0.005461372363452728, -0.11947966911471807, 0.27235868401252306, -0.17330007140453046, -0.10984536117086044, -0.07937282581741993, 0.44055367977573323, -0.27714163580766094, -0.22711935238196299, 0.1302715975146454, -0.24865387494747454, -0.3047953447183737, 0.1908615194619275, -0.310751949938444, 0.013365058085093131, 0.035931698691386446, 0.008600827378149215, -0.2289326966095429, -0.3325402561861735, 0.6287148250983312, -0.06060677996048561, 0.2866875065060762, 0.06754823272617963, 0.18585184374107763, -0.04617232093229317, -0.08563210227741645, -0.004036090981501799, -0.3088695386854502, 0.2495534480907596, 0.27263330267025876, 0.0873399879425191, 0.0111047479395683, -0.38253314277300465, -0.2164428339411433, 0.22946237228237665, 0.019905503266132794, -0.03586562006519391, 0.03957132739910426, -0.35955642364346063, 0.03630613091473396, 6.942250407659091e-05, -0.11931625209175624, -0.2770603941037105, 0.00757995262168921, -0.04998710359303424, -0.04323601651077087, -0.14914070907980204, -0.017202378179018315, 0.12661799129385215, -0.1839729195030836, -0.042317923444968, -0.09925161796407057, 0.07341217478880516, 0.06789143168582366, 0.08443332934537186, 0.16723690142568487, -0.01188337754082078, -0.14133496883396918, 0.370322371331545, -0.11195279313967778, -0.3881327756322347, 0.09377358080102847, -0.06187352538108826, -0.16765737934754446, -0.03377511552893198, 0.27659313867871577, 0.29553192395430344, -0.02921329617786866, 0.2475256020015177, -0.020318997343285725, 0.03695395631858936, 0.14153325070555395, 0.026303292968525335, 0.15910586800712806, 0.07605505577073647, 0.09723174643631165, 0.1440854360564397, 0.04439274234195741, -0.16434658305773225, -0.3294779672645606, -0.2568118516355753, -0.02266870181147869, 0.26302021625451744, -0.29630226451934927, -0.28236988416084874, 0.38613000913308215, -0.041395810074531116, 0.20238299295306206, 0.1950776230973693, 0.1711340844631195, -0.05777954260030618, -0.06946660408105415, 0.015809462047540225, 0.1895119080749842, 0.2441704756078812, 0.05909007203836854, -0.08154330133961943, -0.19924339687881562, 0.3149947203122653] |
709.2085 | MINT: a Computer Program for Adaptive Monte Carlo Integration and
Generation of Unweighted Distributions | In this note I illustrate the program MINT, a FORTRAN program for Monte Carlo
adaptive integration and generation of unweighted distributions.
| hep-ph | in this note i illustrate the program mint a fortran program for monte carlo adaptive integration and generation of unweighted distributions | [['in', 'this', 'note', 'i', 'illustrate', 'the', 'program', 'mint', 'a', 'fortran', 'program', 'for', 'monte', 'carlo', 'adaptive', 'integration', 'and', 'generation', 'of', 'unweighted', 'distributions']] | [-0.06303358175570056, -0.012464061601176149, -0.1383927059138105, 0.1690203265142849, -0.032116695395892576, -0.15052567464521244, 0.05961714305781892, 0.4558868415298916, -0.2977222637938602, -0.3888229055418855, 0.13732905767392367, -0.2318927673179479, -0.0728699559833677, 0.2176722621633893, -0.01711362675719318, 0.08489142945923266, 0.22788927899230094, -0.18139770272232236, -0.08585455991505157, -0.2797880961249272, 0.2041547569401917, 0.1665028856091556, 0.17896965079541718, -0.05371884075880405, 0.12969217201073965, 0.12541610980406404, -0.13941212060550848, -0.03779244724483717, -0.14281088433095387, 0.15069873808395295, 0.2794187630171932, 0.21847567290422462, 0.29802537334728096, -0.34890123101926984, -0.0931215025041075, 0.06686342875694945, 0.14571233439658368, 0.12331363509985663, -0.09893016503857714, -0.20506281015418826, -0.018278976591924827, -0.2625431755468959, -0.07439413963861409, -0.06045826382580258, -0.04621576810521739, 0.08391045007322516, -0.3185014852455684, -0.06543162881973244, -0.006331797689199448, 0.13120445227693944, 0.08664811748479094, -0.17757002317479678, -0.0012886499365170796, -0.005192572273136605, -0.07193616804822038, 0.06338132835835927, 0.032926845006711246, -0.05364738847129047, -0.24260627354184786, 0.2927207301060359, -0.06871607440656849, -0.18373487087055332, 0.08944206458649465, -0.09754382047270026, -0.2568203242318261, 0.13782840168901853, 0.21982871698925183, 0.25242039277440026, -0.1844357142801441, 0.1283064154170764, 0.022408988858972276, 0.09968177960919482, -0.07244810927659273, -0.07940299400971049, 0.14433868619657697, 0.2138580751294891, -0.01648440444841981, 0.21611451197947776, -0.07448182257247113, -0.19752061757303419, -0.39428254234648885, -0.28628967241162345, -0.19004568439863978, -0.027824899181723595, -0.07772465360592053, -0.17614316895958923, 0.3569157049059868, 0.3067022891648646, -0.0374109624397187, 0.19503358982148625, 0.33189880067393895, 0.05361443460874614, 0.014789249127109846, 0.1371336891094134, 0.11363764107227325, 0.049207588036855064, 0.13261240348219872, -0.2521448506131059, 0.07709994652707662, 0.06832266000232526] |
709.2086 | Analytic Structure of Three-Mass Triangle Coefficients | ``Three-mass triangles'' are a class of integral functions appearing in
one-loop gauge theory amplitudes. We discuss how the complex analytic
properties and singularity structures of these amplitudes can be combined with
generalised unitarity techniques to produce compact expressions for three-mass
triangle coefficients. We present formulae for the N=1 contributions to the
n-point NMHV amplitude.
| hep-ph | threemass triangles are a class of integral functions appearing in oneloop gauge theory amplitudes we discuss how the complex analytic properties and singularity structures of these amplitudes can be combined with generalised unitarity techniques to produce compact expressions for threemass triangle coefficients we present formulae for the n1 contributions to the npoint nmhv amplitude | [['threemass', 'triangles', 'are', 'a', 'class', 'of', 'integral', 'functions', 'appearing', 'in', 'oneloop', 'gauge', 'theory', 'amplitudes', 'we', 'discuss', 'how', 'the', 'complex', 'analytic', 'properties', 'and', 'singularity', 'structures', 'of', 'these', 'amplitudes', 'can', 'be', 'combined', 'with', 'generalised', 'unitarity', 'techniques', 'to', 'produce', 'compact', 'expressions', 'for', 'threemass', 'triangle', 'coefficients', 'we', 'present', 'formulae', 'for', 'the', 'n1', 'contributions', 'to', 'the', 'npoint', 'nmhv', 'amplitude']] | [-0.18560824901969344, 0.1534174380127903, -0.116179167482726, 0.19395261235466157, -0.12678194634133466, -0.08626700483297033, -0.004249637478669347, 0.3631796565734678, -0.18875986172093284, -0.19564548438345944, 0.06017589743499196, -0.29121015350230867, -0.22972871052722135, 0.1742779997487863, 0.0018639692657247738, 0.08020779837129845, 0.03943440364673734, 0.0030076595592415994, -0.1319445956636358, -0.2257739068871295, 0.33328663027431404, -0.05776426949779744, 0.1882024556915793, 0.08389666845539102, 0.0501605402333317, 0.04875674186688331, -0.06403640768904653, -0.011854247819563304, -0.17878593641109075, 0.15391981864511897, 0.2864816031522221, 0.08798039972747641, 0.034960354973682786, -0.466102694057756, -0.12255966578851696, 0.0710780947400188, 0.16799049825338577, 0.13030331999201467, 0.05607699401055773, -0.22644650039297562, 0.05414790532517212, -0.1306001835813125, -0.262818774684867, -0.1721138933983942, 0.01424002648262238, -0.030365424765342916, -0.2865070356573496, 0.07906367609070407, -0.005971321594659929, 0.007616834025140162, 0.00887997785617632, -0.15219322133257432, 0.016543711069971323, 0.11288397882728735, 0.020305621325624763, 0.010186858341546246, 0.06069520374768655, -0.19836233843105017, -0.1570519870750744, 0.3361752610136237, -0.06035907437197036, -0.2753055915064006, 0.08540581378878818, -0.20135665333967795, -0.2209087405440018, 0.13582203184530414, 0.132794468353192, 0.12527294521687846, -0.15471924132564002, 0.19548398363986053, 0.022136662828011647, 0.07376640774654569, 0.19185633890986167, 0.05799760383174375, 0.1877504303421894, -0.02401394045888015, -0.021172743525649247, 0.1775609396324769, -0.02671689860936668, -0.08480620958531897, -0.4053964854080092, -0.08476348730942442, -0.04930974141246191, 0.06459554181330734, -0.16407744414835987, -0.22475276897764868, 0.35114761017676854, 0.07005007151962707, 0.17326342028186278, 0.1471926485947161, 0.2538519493062739, 0.20536319986934326, 0.12285175208968145, 0.021029527954481268, 0.16407654944298514, 0.1969299957294155, 0.00921270970758525, -0.1937955822601604, -0.06843566340911719, 0.21747944861029586] |
709.2087 | The $K$-theory of toric varieties | Recent advances in computational techniques for $K$-theory allow us to
describe the $K$-theory of toric varieties in terms of the $K$-theory of fields
and simple cohomological data.
| math.KT math.AG | recent advances in computational techniques for ktheory allow us to describe the ktheory of toric varieties in terms of the ktheory of fields and simple cohomological data | [['recent', 'advances', 'in', 'computational', 'techniques', 'for', 'ktheory', 'allow', 'us', 'to', 'describe', 'the', 'ktheory', 'of', 'toric', 'varieties', 'in', 'terms', 'of', 'the', 'ktheory', 'of', 'fields', 'and', 'simple', 'cohomological', 'data']] | [-0.13835616244210136, -0.048924427893426686, -0.1282520623256763, 0.09509059014143767, -0.11336106872530999, -0.11248297844496039, -0.03514510972632302, 0.2880104836076498, -0.35457729844859354, -0.26422759935397794, 0.08625865883745805, -0.1608034143702955, -0.15173273354216857, 0.28018799810497846, -0.31456479616463184, 0.023113547651856033, 0.049321999980343714, 0.027905179144538664, -0.10478814646463704, -0.35870071700601663, 0.47638047072622514, 0.028877227118721715, 0.29165713696016204, 0.12423545974134295, 0.060423617014075046, 0.027658079233434465, -0.074236827109147, -0.058781499319054464, -0.13324088051363273, 0.24573255282033374, 0.44276509527117014, 0.08706586104300287, 0.11114875503160336, -0.519929454282478, -0.15516530829309313, 0.17365100961695942, 0.10536888666037056, 0.11839345056149694, -0.028189973146827134, -0.2627463602564401, 0.03803424399208139, -0.21442631521710642, -0.1595296940455834, -0.2566156718466017, 0.05438138166856435, 0.02173219069286629, -0.21636226114006368, -0.06768401739773927, 0.013058656813680299, 0.22589837642455543, -0.07945575551302345, -0.04823118793191733, -0.018132217366386344, 0.16361504048109055, -0.01817179409166177, 0.02101417375659501, 0.09491251567723574, -0.1624565331817225, -0.26735209452885167, 0.35915661561820245, -0.007593993916762648, -0.1443549451176767, 0.160564544196758, -0.17038672858918155, -0.2554383254437535, 0.21645772891740003, 0.10041917329309163, 0.14435221115127206, 0.05170787074085739, 0.22871298073678864, -0.0279651681582133, 0.0034709013049939166, 0.004057101137867129, 0.05307293490127281, 0.12020380643230898, 0.0515223053732404, -0.014022852777055016, 0.08200316867549662, 0.018442741629702074, -0.04768788000499761, -0.23622111693300582, -0.23169935453269216, -0.059405754380686966, 0.16005988691554027, -0.11491175052759461, -0.15197002078854926, 0.4982598948257941, 0.1739659953724455, 0.1783459990940712, 0.1385990256374633, 0.3323561955864231, -0.009676220033455777, 0.042330404881525924, -0.01350961278917061, 0.12962620769610145, 0.32760193906034585, 0.11072200671252277, -0.11256132595223824, -0.09645642338027419, 0.23729669233715092] |
709.2088 | Adding \pm 1 to the argument of an Hall-Littlewood polynomial | Shifting by \pm 1 powers sums: p_i \to p_i \pm 1 induces a transformation on
symmetric functions that we detail in the case of Hall-Littlewood polynomials.
By iteration, this gives a description of these polynomials in terms of plane
partitions, as well as some generating functions. We recover in particular an
identity of Warnaar related to Rogers-Ramanujan identities.
| math.CO | shifting by pm 1 powers sums p_i to p_i pm 1 induces a transformation on symmetric functions that we detail in the case of halllittlewood polynomials by iteration this gives a description of these polynomials in terms of plane partitions as well as some generating functions we recover in particular an identity of warnaar related to rogersramanujan identities | [['shifting', 'by', 'pm', '1', 'powers', 'sums', 'p_i', 'to', 'p_i', 'pm', '1', 'induces', 'a', 'transformation', 'on', 'symmetric', 'functions', 'that', 'we', 'detail', 'in', 'the', 'case', 'of', 'halllittlewood', 'polynomials', 'by', 'iteration', 'this', 'gives', 'a', 'description', 'of', 'these', 'polynomials', 'in', 'terms', 'of', 'plane', 'partitions', 'as', 'well', 'as', 'some', 'generating', 'functions', 'we', 'recover', 'in', 'particular', 'an', 'identity', 'of', 'warnaar', 'related', 'to', 'rogersramanujan', 'identities']] | [-0.17254140053008651, 0.0831646943439284, -0.061908424896155966, 0.0430844789752255, -0.04447981875775189, -0.10901735324797959, 0.038453433341507255, 0.29652222709987186, -0.30857582583798676, -0.2246353254525055, 0.057588399422017794, -0.32075809224926194, -0.18236239260897555, 0.17443639097799515, -0.11445969518209839, -0.01259012762778278, -0.05147948893236703, -0.004674157448883714, -0.15391797311844882, -0.2604654501995136, 0.3212354217559613, -0.005638945590833138, 0.17198556303528362, -0.000534028673929901, 0.1019075276623159, 0.04985300344736155, -0.01437206174535998, -0.08691676012400923, -0.1559656664839763, 0.10523091824444268, 0.27457426732470247, 0.13949046689406808, 0.2253350711202827, -0.3369686660067788, -0.037106633941032766, 0.14866161763924976, 0.22146089684924689, -0.0020932340031040125, -0.009790258042530382, -0.22322897216032161, 0.07631235878015387, -0.1954846522481791, -0.1808215050219462, -0.10500021413739385, 0.054705047819378044, 0.11438161738473794, -0.2970210262333396, 0.06830802589978828, 0.08881091759620427, 0.05489397217551696, -0.018995097501139188, -0.2130768031909548, 0.0273718817103333, 0.07059361109638522, 0.046179759476719234, 0.08119268059441499, 0.041542059115680124, -0.11305171666779266, -0.1505110604359351, 0.3947270733207978, 0.008030237780546704, -0.26994049523411123, 0.040931021409301924, -0.19315344780876204, -0.1911621306027318, 0.0903103650258533, 0.10905542088208865, 0.14209089366365865, -0.08599002158333516, 0.07761379599506998, -0.11699407361447811, 0.07260986697530888, 0.201641498069311, 0.01771999674784983, 0.1442787634240913, -0.0655985120402906, 0.027492879456358737, 0.23146094155401506, 0.029093160827901084, -0.06548286768896826, -0.3724007587237605, -0.15932356354234548, -0.17433954654301614, 0.11380209720789872, -0.17373429523010192, -0.15477897238050556, 0.4062532862198764, 0.08328653306796632, 0.23569452325845586, 0.12016233032697747, 0.20649462949950248, 0.20376984442279128, 0.06686903359689589, -0.029538331272337456, 0.05300294759869977, 0.21289447198043868, 0.046513496601054895, -0.11836073229667442, 0.030543038139826263, 0.2090442469343543] |
709.2089 | Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state | The current noise through a mesoscopic quantum dot is calculated and analyzed
in the Fermi liquid regime of the SU(N) Kondo model. Results connect the
Johnson-Nyquist noise to the shot noise for an arbitrary ratio of voltage and
temperature, and show that temperature corrections are sizeable in usual
experiments. For the experimentally relevant SU(4) case, quasiparticle
interactions are shown to increase the shot noise.
| cond-mat.mes-hall cond-mat.str-el | the current noise through a mesoscopic quantum dot is calculated and analyzed in the fermi liquid regime of the sun kondo model results connect the johnsonnyquist noise to the shot noise for an arbitrary ratio of voltage and temperature and show that temperature corrections are sizeable in usual experiments for the experimentally relevant su4 case quasiparticle interactions are shown to increase the shot noise | [['the', 'current', 'noise', 'through', 'a', 'mesoscopic', 'quantum', 'dot', 'is', 'calculated', 'and', 'analyzed', 'in', 'the', 'fermi', 'liquid', 'regime', 'of', 'the', 'sun', 'kondo', 'model', 'results', 'connect', 'the', 'johnsonnyquist', 'noise', 'to', 'the', 'shot', 'noise', 'for', 'an', 'arbitrary', 'ratio', 'of', 'voltage', 'and', 'temperature', 'and', 'show', 'that', 'temperature', 'corrections', 'are', 'sizeable', 'in', 'usual', 'experiments', 'for', 'the', 'experimentally', 'relevant', 'su4', 'case', 'quasiparticle', 'interactions', 'are', 'shown', 'to', 'increase', 'the', 'shot', 'noise']] | [-0.13206023480415752, 0.20413251743798355, -0.03552177683764057, 0.11160162826308806, 0.06550421263818862, -0.18622558764036512, 0.06180600584411877, 0.33065497993447934, -0.2474136539240135, -0.29006421109079383, -0.0025898920321196783, -0.3507299314951524, -0.12772596017202886, 0.22075735358157544, -0.04282800586952362, 0.035607938618340995, -0.004673490395362023, 0.022357622830895707, -0.06536376362419105, -0.2390595568867866, 0.2778801130334614, 0.07480236305673316, 0.3335639209544752, 0.1083535386424046, 0.0716530255303951, -0.046399555016250815, 0.037424529320560396, 0.043628492207062664, -0.09386018969655652, -0.054708624666091055, 0.24762828240636736, -0.12522365647600964, 0.15543575410265476, -0.42222460711491294, -0.2138058846030617, 0.03974113413278246, 0.10258704888110515, 0.16674554725977941, -0.025755711447345675, -0.3244757387692516, 0.015083623278769664, -0.18759064198820852, -0.08594668192381505, -0.12556816480355337, 0.005306453182129189, -0.00038169790104802814, -0.2930298681894783, 0.1259068229519471, 0.05513246737973532, 0.0014799076016061008, -0.007279232479049824, -0.124615963868564, -0.00629283842863515, 0.10987489672743322, 0.01796294073028548, 0.001100598688935861, 0.24939775172970258, -0.18798919671826297, -0.10309374135977123, 0.33266619622008875, -0.13269527755619492, -0.15555820224108174, 0.1303651965863537, -0.2241264493059134, -0.04713863189681433, 0.15735228726407513, 0.09810310957982438, 0.01980192746486864, -0.17053674068301916, 0.09993713498715806, 0.022309092986688484, 0.16847290795703884, 0.023166019640484592, 0.0746883624306065, 0.20764398109167814, 0.18473024103877833, 0.04128152335761115, 0.14805906049514306, -0.18321998452302068, -0.10190320349647664, -0.27810989145655185, -0.0886578445606574, -0.22258734216848097, 0.057981006597401574, -0.07699364692166455, -0.1383725418722861, 0.3872135759302182, 0.22634421577095054, 0.1966467890451895, 0.00582267070421949, 0.3193153033789713, 0.18501164115878055, 0.012626013631233945, 0.01467495061660884, 0.2527900378627237, 0.17827825226413552, 0.08053959673270583, -0.3313815055953455, 0.006075591023545712, -0.052311072271550074] |
709.209 | On the Complexity of Computing Zero-Error and Holevo Capacity of Quantum
Channels | One of the main problems in quantum complexity theory is that our
understanding of the theory of QMA-completeness is not as rich as its classical
analogue, the NP- completeness. In this paper we consider the clique problem in
graphs, which is NP- complete, and try to find its quantum analogue. We show
that, quantum clique problem can be defined as follows; Given a quantum
channel, decide whether there are k states that are distinguishable, with no
error, after passing through channel. This definition comes from reconsidering
the clique problem in terms of the zero-error capacity of graphs, and then
redefining it in quantum information theory. We prove that, quantum clique
problem is QMA-complete. In the second part of paper, we consider the same
problem for the Holevo capacity. We prove that computing the Holevo capacity as
well as the minimum entropy of a quantum channel is NP-complete. Also, we show
these results hold even if the set of quantum channels is restricted to
entanglement breaking ones.
| quant-ph | one of the main problems in quantum complexity theory is that our understanding of the theory of qmacompleteness is not as rich as its classical analogue the np completeness in this paper we consider the clique problem in graphs which is np complete and try to find its quantum analogue we show that quantum clique problem can be defined as follows given a quantum channel decide whether there are k states that are distinguishable with no error after passing through channel this definition comes from reconsidering the clique problem in terms of the zeroerror capacity of graphs and then redefining it in quantum information theory we prove that quantum clique problem is qmacomplete in the second part of paper we consider the same problem for the holevo capacity we prove that computing the holevo capacity as well as the minimum entropy of a quantum channel is npcomplete also we show these results hold even if the set of quantum channels is restricted to entanglement breaking ones | [['one', 'of', 'the', 'main', 'problems', 'in', 'quantum', 'complexity', 'theory', 'is', 'that', 'our', 'understanding', 'of', 'the', 'theory', 'of', 'qmacompleteness', 'is', 'not', 'as', 'rich', 'as', 'its', 'classical', 'analogue', 'the', 'np', 'completeness', 'in', 'this', 'paper', 'we', 'consider', 'the', 'clique', 'problem', 'in', 'graphs', 'which', 'is', 'np', 'complete', 'and', 'try', 'to', 'find', 'its', 'quantum', 'analogue', 'we', 'show', 'that', 'quantum', 'clique', 'problem', 'can', 'be', 'defined', 'as', 'follows', 'given', 'a', 'quantum', 'channel', 'decide', 'whether', 'there', 'are', 'k', 'states', 'that', 'are', 'distinguishable', 'with', 'no', 'error', 'after', 'passing', 'through', 'channel', 'this', 'definition', 'comes', 'from', 'reconsidering', 'the', 'clique', 'problem', 'in', 'terms', 'of', 'the', 'zeroerror', 'capacity', 'of', 'graphs', 'and', 'then', 'redefining', 'it', 'in', 'quantum', 'information', 'theory', 'we', 'prove', 'that', 'quantum', 'clique', 'problem', 'is', 'qmacomplete', 'in', 'the', 'second', 'part', 'of', 'paper', 'we', 'consider', 'the', 'same', 'problem', 'for', 'the', 'holevo', 'capacity', 'we', 'prove', 'that', 'computing', 'the', 'holevo', 'capacity', 'as', 'well', 'as', 'the', 'minimum', 'entropy', 'of', 'a', 'quantum', 'channel', 'is', 'npcomplete', 'also', 'we', 'show', 'these', 'results', 'hold', 'even', 'if', 'the', 'set', 'of', 'quantum', 'channels', 'is', 'restricted', 'to', 'entanglement', 'breaking', 'ones']] | [-0.15152909458300703, 0.11218335951330612, -0.07514209622315254, 0.08893441855178091, -0.05509901385339179, -0.17793737678979354, 0.08609249521290928, 0.31280034420736896, -0.3314037662762475, -0.2650218435103096, 0.10608530156412554, -0.2786344705115869, -0.18543859692262374, 0.1634458145238908, -0.12615031336927898, 0.07768552083836262, 0.07830987575166601, 0.11566428748150188, -0.027775939991585463, -0.27861166067690735, 0.3187319785440677, 0.00033305317348609846, 0.22663826260334216, 0.1307962451225528, 0.05742495293316645, 0.02513737976551056, 0.050260062004069246, 0.0495690704065274, -0.14968772127166993, 0.07822492528820399, 0.30453561358953296, 0.2040770610973957, 0.2451092969368111, -0.39334539606247143, -0.21194180392895837, 0.16072575420320753, 0.12415453127349715, 0.1431206671222315, -0.008961085286215845, -0.22904758904892278, 0.138036957251873, -0.1446761091279023, -0.06882119206543338, -0.00911971771842744, 0.0022828407832477466, -0.058493048659559475, -0.22715642162197527, 0.07715498210132228, 0.12211881519129769, 0.019824140340493745, 0.000731648201212646, -0.08883354188425534, 0.053039142678222476, 0.146259800700684, -0.01954266150392233, 0.02066527884516652, 0.07684671467293548, -0.16117798147936274, -0.18966171257085648, 0.39631872642112065, -0.028595453368062265, -0.19623176035392714, 0.11823968759580818, -0.10454643491644368, -0.1451885598481644, 0.044464006376205886, 0.12420203532260585, 0.13471916201804957, -0.11671159319377628, 0.15996971822845896, -0.10880511755078852, 0.16777849580155663, 0.06742850620950382, 0.10649102402735973, 0.1478054663015625, 0.1091686182610511, 0.13972954591455677, 0.2436271692599529, -0.010409945122762975, -0.15620770486610303, -0.323672267793487, -0.19982040645442453, -0.24905071212876453, 0.08838618098323707, -0.07223523000002059, -0.16050763571065435, 0.34214026026472627, 0.15028898105837393, 0.1537204895095608, 0.10196771486227524, 0.29094937814298616, 0.14137146802815814, 0.009477988760693964, 0.13334881341932006, 0.2185060204769743, 0.1898729890158557, 0.0466635043435472, -0.20849385851147692, 0.06608302963628288, 0.07050065410110247] |
709.2091 | Production of Gravitational Waves in the nMSSM | During a strongly first-order phase transition gravitational waves are
produced by bubble collisions and turbulent plasma motion. We analyze the
relevant characteristics of the electroweak phase transition in the nMSSM to
determine the generated gravitational wave signal. Additionally, we comment on
correlations between the production of gravitational waves and baryogenesis. We
conclude that the gravitational wave relic density in this model is generically
too small to be detected in the near future by the LISA experiment. We also
consider the case of a "Standard Model" with dimension-six Higgs potential,
which leads to a slightly stronger signal of gravitational waves.
| hep-ph astro-ph | during a strongly firstorder phase transition gravitational waves are produced by bubble collisions and turbulent plasma motion we analyze the relevant characteristics of the electroweak phase transition in the nmssm to determine the generated gravitational wave signal additionally we comment on correlations between the production of gravitational waves and baryogenesis we conclude that the gravitational wave relic density in this model is generically too small to be detected in the near future by the lisa experiment we also consider the case of a standard model with dimensionsix higgs potential which leads to a slightly stronger signal of gravitational waves | [['during', 'a', 'strongly', 'firstorder', 'phase', 'transition', 'gravitational', 'waves', 'are', 'produced', 'by', 'bubble', 'collisions', 'and', 'turbulent', 'plasma', 'motion', 'we', 'analyze', 'the', 'relevant', 'characteristics', 'of', 'the', 'electroweak', 'phase', 'transition', 'in', 'the', 'nmssm', 'to', 'determine', 'the', 'generated', 'gravitational', 'wave', 'signal', 'additionally', 'we', 'comment', 'on', 'correlations', 'between', 'the', 'production', 'of', 'gravitational', 'waves', 'and', 'baryogenesis', 'we', 'conclude', 'that', 'the', 'gravitational', 'wave', 'relic', 'density', 'in', 'this', 'model', 'is', 'generically', 'too', 'small', 'to', 'be', 'detected', 'in', 'the', 'near', 'future', 'by', 'the', 'lisa', 'experiment', 'we', 'also', 'consider', 'the', 'case', 'of', 'a', 'standard', 'model', 'with', 'dimensionsix', 'higgs', 'potential', 'which', 'leads', 'to', 'a', 'slightly', 'stronger', 'signal', 'of', 'gravitational', 'waves']] | [-0.17655512659500042, 0.2499447162121986, -0.06299002956354408, 0.126442522247971, -0.08962401772162529, -0.0693019163145712, -0.006936428314686349, 0.31077085288636613, -0.23210308870601684, -0.24829431781733427, 0.0445373035471115, -0.28964286652685267, -0.132928718003736, 0.15889029218486012, 0.08317760262412555, 0.03944906984653437, 0.04918840624429662, 0.011132737494666468, -0.04858130143927128, -0.18498411618709337, 0.31822385418821464, 0.0994595346803015, 0.18658589197303913, 0.07081811211890343, 0.03591375755889322, -0.035936704738009154, -0.01847231624391626, -0.01213903578393387, -0.13927690971299073, 0.027813706507334824, 0.1986100140187626, 0.12201526635232372, 0.16416861318672696, -0.44208447260763306, -0.2518430371872253, 0.15388838277019637, 0.10671780429394784, 0.1772520594037787, -0.08052306691528006, -0.3843538905235214, 0.04425249198825578, -0.21056871031495658, -0.11387000740929083, -0.00865290200130807, 0.012474738338943383, -0.011249813554582723, -0.27907970938078985, 0.11848963539538238, -0.003103466875583046, -0.05315620640076396, -0.038609823270823164, -0.016538070604167503, -0.062347210915476986, -0.03157008331118509, 0.11105158138488692, 0.06369841735659525, 0.18145941839920302, -0.18458043089526885, -0.0835195442125427, 0.4381969349665774, -0.14375896316087533, -0.13592396480633379, 0.1801258029152799, -0.24124905713974978, -0.11039301062078037, 0.1746104878627441, 0.22176515258321858, 0.07126250107669169, -0.12539376766477345, 0.06449945918825277, 0.04537510598046621, 0.17147914272018078, 0.12305159433603738, 0.03070570185140829, 0.31986500909187443, 0.15324410169169006, 0.04312663246886899, 0.1317038427123499, -0.11987357355437872, -0.04963436917956881, -0.3832297366902684, -0.09119288509975028, -0.11174903102595397, -0.023958064112729965, -0.06617362158475303, -0.13529863179369708, 0.40072863863197844, 0.21743187562308527, 0.17046050611393046, 0.0021136000627802326, 0.28588802545246755, 0.13358829306812506, 0.013890647717441121, 0.026697447142479094, 0.39921463936604934, 0.12591456532986325, 0.12687509454730334, -0.23096537147883814, 0.014698573811487719, 0.056599519415429296] |
709.2092 | Matching NLO QCD computations with Parton Shower simulations: the POWHEG
method | The aim of this work is to describe in detail the POWHEG method, first
suggested by one of the authors, for interfacing parton-shower generators with
NLO QCD computations. We describe the method in its full generality, and then
specify its features in two subtraction frameworks for NLO calculations: the
Catani-Seymour and the Frixione-Kunszt-Signer approach. Two examples are
discussed in detail in both approaches: the production of hadrons in e+e-
collisions, and the Drell-Yan vector-boson production in hadronic collisions.
| hep-ph | the aim of this work is to describe in detail the powheg method first suggested by one of the authors for interfacing partonshower generators with nlo qcd computations we describe the method in its full generality and then specify its features in two subtraction frameworks for nlo calculations the cataniseymour and the frixionekunsztsigner approach two examples are discussed in detail in both approaches the production of hadrons in ee collisions and the drellyan vectorboson production in hadronic collisions | [['the', 'aim', 'of', 'this', 'work', 'is', 'to', 'describe', 'in', 'detail', 'the', 'powheg', 'method', 'first', 'suggested', 'by', 'one', 'of', 'the', 'authors', 'for', 'interfacing', 'partonshower', 'generators', 'with', 'nlo', 'qcd', 'computations', 'we', 'describe', 'the', 'method', 'in', 'its', 'full', 'generality', 'and', 'then', 'specify', 'its', 'features', 'in', 'two', 'subtraction', 'frameworks', 'for', 'nlo', 'calculations', 'the', 'cataniseymour', 'and', 'the', 'frixionekunsztsigner', 'approach', 'two', 'examples', 'are', 'discussed', 'in', 'detail', 'in', 'both', 'approaches', 'the', 'production', 'of', 'hadrons', 'in', 'ee', 'collisions', 'and', 'the', 'drellyan', 'vectorboson', 'production', 'in', 'hadronic', 'collisions']] | [-0.020028238311748613, 0.08622995445916018, -0.10899179243760837, 0.1356343083966572, 0.0019358603477284506, -0.06294081752587642, -0.047959658607550255, 0.4115945772304163, -0.1815207768413057, -0.2169476483960624, -0.0025247265751074466, -0.3419222737263356, -0.03430225874309416, 0.12421592021082806, 0.037318330729839866, 0.12748298672324215, 0.11934304308726804, -0.020631682756659272, -0.05993614490930136, -0.27502336270816913, 0.3166720497167923, 0.06496675254462601, 0.20974611418734473, 0.16226680097533028, 0.044356006373010286, 0.04454499573821758, -0.12419809625248195, -0.05385630389119123, -0.13104023006684207, 0.12145396815113989, 0.2995638012789287, 0.0874104457151435, 0.16001843126466522, -0.3900102120037977, -0.10225999104947626, 0.049551987790732416, 0.13392629921315358, 0.15608013606352078, -0.051012520460629616, -0.24459124073482952, 0.12662484281539144, -0.2954294804435272, -0.10686643533529593, -0.12513940817640198, -0.06216120002670335, -0.017253595319661228, -0.2792227644618456, -0.010428761180441875, 0.0005661568955167548, 0.030595813294197582, 0.011045466455352771, -0.13777520868612766, -0.03706252100792798, 0.048383390071330135, 0.09589296965185151, 0.024984849746907494, 0.11305355645909712, -0.17953038964323798, -0.2827175192613542, 0.4304750205634476, 0.010723001335735446, -0.20187956133446136, 0.17099883023939735, -0.17487530737991336, -0.2101439660257817, 0.11449029091019909, 0.23586940675877133, 0.1258472482818965, -0.23522745602606954, 0.14869685184177278, 0.09396926259210744, 0.07488528160112244, 0.059154552625274505, 0.02097379442231802, 0.1048876897419815, 0.2198019249896918, -0.11555757235687275, 0.12059032451361418, -0.05649784253305429, -0.11979798060636242, -0.43846471486734107, -0.1576266762945656, -0.10382856356657365, -0.05300203871659257, -0.07164831712857862, -0.08690957796409146, 0.4118655114495135, 0.22196269992061637, 0.23054294680039605, -0.003942967706976773, 0.4115355091000145, 0.08783648541656794, 0.0476566149986216, 0.08591567154659273, 0.28264136070554907, 0.1444841698568024, 0.13050558275313345, -0.2535109344821472, 0.021156658131217997, 0.12350517215340265] |
709.2093 | High-sensitivity tool for studying phonon related mechanical losses in
low loss materials | Fundamental mechanical loss mechanisms exist even in very pure materials, for
instance, due to the interactions of excited acoustic waves with thermal
phonons. A reduction of these losses in a certain frequency range is desired in
high precision instruments like gravitational wave detectors. Systematic
analyses of the mechanical losses in those low loss materials are essential for
this aim, performed in a highly sensitive experimental set-up. Our novel method
of mechanical spectroscopy, cryogenic resonant acoustic spectroscopy of bulk
materials (CRA spectroscopy), is well suited to systematically determine losses
at the resonant frequencies of the samples of less than 10^(-9) in the wide
temperature range from 5 to 300 K. A high precision set-up in a specially built
cryostat allows contactless excitation and readout of the oscillations of the
sample. The experimental set-up and measuring procedure are described.
Limitations to our experiment due to external loss mechanisms are analysed. The
influence of the suspension system as well as the sample preparation is
explained.
| cond-mat.other cond-mat.mtrl-sci | fundamental mechanical loss mechanisms exist even in very pure materials for instance due to the interactions of excited acoustic waves with thermal phonons a reduction of these losses in a certain frequency range is desired in high precision instruments like gravitational wave detectors systematic analyses of the mechanical losses in those low loss materials are essential for this aim performed in a highly sensitive experimental setup our novel method of mechanical spectroscopy cryogenic resonant acoustic spectroscopy of bulk materials cra spectroscopy is well suited to systematically determine losses at the resonant frequencies of the samples of less than 109 in the wide temperature range from 5 to 300 k a high precision setup in a specially built cryostat allows contactless excitation and readout of the oscillations of the sample the experimental setup and measuring procedure are described limitations to our experiment due to external loss mechanisms are analysed the influence of the suspension system as well as the sample preparation is explained | [['fundamental', 'mechanical', 'loss', 'mechanisms', 'exist', 'even', 'in', 'very', 'pure', 'materials', 'for', 'instance', 'due', 'to', 'the', 'interactions', 'of', 'excited', 'acoustic', 'waves', 'with', 'thermal', 'phonons', 'a', 'reduction', 'of', 'these', 'losses', 'in', 'a', 'certain', 'frequency', 'range', 'is', 'desired', 'in', 'high', 'precision', 'instruments', 'like', 'gravitational', 'wave', 'detectors', 'systematic', 'analyses', 'of', 'the', 'mechanical', 'losses', 'in', 'those', 'low', 'loss', 'materials', 'are', 'essential', 'for', 'this', 'aim', 'performed', 'in', 'a', 'highly', 'sensitive', 'experimental', 'setup', 'our', 'novel', 'method', 'of', 'mechanical', 'spectroscopy', 'cryogenic', 'resonant', 'acoustic', 'spectroscopy', 'of', 'bulk', 'materials', 'cra', 'spectroscopy', 'is', 'well', 'suited', 'to', 'systematically', 'determine', 'losses', 'at', 'the', 'resonant', 'frequencies', 'of', 'the', 'samples', 'of', 'less', 'than', '109', 'in', 'the', 'wide', 'temperature', 'range', 'from', '5', 'to', '300', 'k', 'a', 'high', 'precision', 'setup', 'in', 'a', 'specially', 'built', 'cryostat', 'allows', 'contactless', 'excitation', 'and', 'readout', 'of', 'the', 'oscillations', 'of', 'the', 'sample', 'the', 'experimental', 'setup', 'and', 'measuring', 'procedure', 'are', 'described', 'limitations', 'to', 'our', 'experiment', 'due', 'to', 'external', 'loss', 'mechanisms', 'are', 'analysed', 'the', 'influence', 'of', 'the', 'suspension', 'system', 'as', 'well', 'as', 'the', 'sample', 'preparation', 'is', 'explained']] | [-0.12036800098369749, 0.1882361061497373, -0.0367350868961952, 0.046155344397347, -0.04752427616794766, -0.14095394750539628, 0.07333535190389986, 0.38863881097899544, -0.23759097719197103, -0.3747748799369107, 0.07631414557338612, -0.30258439074676086, -0.07645151508184449, 0.26872312435075457, -0.01593950354166467, 0.10847968594631019, 0.06707747980383122, -0.046898451057423685, -0.025011965827470256, -0.14710657583423142, 0.24508246398289446, 0.12396116992228745, 0.3313479710163342, 0.04789954789534763, 0.09202735770183305, -0.013051092970047726, -0.0037107092075417806, -0.011031706532877352, -0.08039669040240201, 0.06791830293397293, 0.29466479853439476, 0.02614173490013697, 0.23543799640093413, -0.4152494410485321, -0.24115907004387635, 0.0601890573427541, 0.10206475661475395, 0.12838387281352218, -0.05209237629013067, -0.22490581839034954, 0.05296216426089544, -0.15658759260492652, -0.14148484857718427, -0.08957368317117662, -0.017444784551094297, 0.009773368803485309, -0.23747257067373506, 0.07925323745735956, 0.007559760337132087, 0.07710887741924113, -0.10242304225189232, -0.10694696773116673, 0.02457306847223483, 0.08377365788364392, -0.017839383596933826, -0.00746947471095525, 0.20024532633891076, -0.13839568205057057, -0.06451214732671226, 0.4053728262201113, -0.08432810316712058, -0.13199478240516957, 0.2398288949000373, -0.18352460478832025, -0.04746472058360706, 0.16488841093608098, 0.19463966397085675, 0.13775100845147936, -0.17708615849102147, -0.004334418718725728, 0.07719756878438523, 0.17155768766993496, 0.07378529233248605, 0.11437402925896746, 0.20128364632205095, 0.22640180552125344, -0.0013325531553063127, 0.1583197279394903, -0.1132746065598855, 0.027261055045887644, -0.27540343737712614, -0.1099045127802701, -0.17518340966256082, 0.03623623073697133, -0.03780143743615891, -0.13803129318388707, 0.37483683531172574, 0.1464634327427053, 0.17827540107235243, -0.030414067312247224, 0.329925650316808, 0.07193552096227736, 0.10351548975845223, -0.035350229386326475, 0.33331640324494977, 0.1613498713855666, 0.11359873919943232, -0.2608463305697552, 0.03374093654996681, -0.07435718051842011] |
709.2094 | Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in
Two-Component Atomic Gases | We report on the observation of the phase dynamics of interacting
one-dimensional ultracold bosonic gases with two internal degrees of freedom.
By controlling the non-linear atomic interactions close to a Feshbach resonance
we are able to induce a phase diffusive many-body spin dynamics. We monitor
this dynamical evolution by Ramsey interferometry, supplemented by a novel,
many-body echo technique. We find that the time evolution of the system is well
described by a Luttinger liquid initially prepared in a multimode squeezed
state. Our approach allows us to probe the non-equilibrium evolution of
one-dimensional many-body quantum systems.
| cond-mat.other | we report on the observation of the phase dynamics of interacting onedimensional ultracold bosonic gases with two internal degrees of freedom by controlling the nonlinear atomic interactions close to a feshbach resonance we are able to induce a phase diffusive manybody spin dynamics we monitor this dynamical evolution by ramsey interferometry supplemented by a novel manybody echo technique we find that the time evolution of the system is well described by a luttinger liquid initially prepared in a multimode squeezed state our approach allows us to probe the nonequilibrium evolution of onedimensional manybody quantum systems | [['we', 'report', 'on', 'the', 'observation', 'of', 'the', 'phase', 'dynamics', 'of', 'interacting', 'onedimensional', 'ultracold', 'bosonic', 'gases', 'with', 'two', 'internal', 'degrees', 'of', 'freedom', 'by', 'controlling', 'the', 'nonlinear', 'atomic', 'interactions', 'close', 'to', 'a', 'feshbach', 'resonance', 'we', 'are', 'able', 'to', 'induce', 'a', 'phase', 'diffusive', 'manybody', 'spin', 'dynamics', 'we', 'monitor', 'this', 'dynamical', 'evolution', 'by', 'ramsey', 'interferometry', 'supplemented', 'by', 'a', 'novel', 'manybody', 'echo', 'technique', 'we', 'find', 'that', 'the', 'time', 'evolution', 'of', 'the', 'system', 'is', 'well', 'described', 'by', 'a', 'luttinger', 'liquid', 'initially', 'prepared', 'in', 'a', 'multimode', 'squeezed', 'state', 'our', 'approach', 'allows', 'us', 'to', 'probe', 'the', 'nonequilibrium', 'evolution', 'of', 'onedimensional', 'manybody', 'quantum', 'systems']] | [-0.18987164349834385, 0.2869759814323563, -0.1445427180347523, 0.02263551891389254, 0.01469836199754163, -0.17262637914329965, 0.04364330203909623, 0.33662752913017024, -0.2553186052527867, -0.2531610292235487, 0.005224115787515122, -0.25720110371185, -0.13897731819337136, 0.15799231157932234, 0.06106834520438784, 0.10852485334402637, 0.05520467043388635, -0.04074036016521093, -0.0617220177388701, -0.19981201468525747, 0.3154980061465482, 0.013734681128622278, 0.2232685768094502, 0.01634031352832129, 0.1094275410875286, 0.06855455615533222, 0.07105562947690487, -0.021779834283025643, -0.15798037065672504, 0.06941141971435986, 0.24113962520894253, -0.006494132957519277, 0.23121528682347975, -0.47008406618904125, -0.2515699729813557, 0.04004170606893144, 0.15433471768261178, 0.2250177500475394, -0.02269779089470639, -0.38062228906507556, -0.11449117161529629, -0.19719727202073523, -0.2141652935821759, -0.16476260363859566, -0.03532358219503964, 0.013145011074926802, -0.2049859435714193, 0.08587721630342697, 0.04996809239566669, 0.0498894102871418, -0.025967304056240734, 0.020568714461191313, 0.0393773473014957, 0.08037779254005535, -0.10621678889238913, 0.007258129955612515, 0.16830922784773927, -0.1460769044504942, -0.11890118030929252, 0.36675810935220826, -0.14112313304611138, -0.14127965000899215, 0.2483855318719227, -0.1557250214985719, -0.08744428270055275, 0.14680925459650002, 0.1448494748555516, 0.11555022970822297, -0.19051771061004777, 0.03843264497677171, -0.0255954947420641, 0.21120413884728853, -0.0063784544944371045, 0.10424036397843768, 0.2786085718029522, 0.22350783742179997, 0.026243407014561328, 0.200948694936539, -0.10329823969422203, -0.18336565794521256, -0.22728514433103172, -0.12885700232704708, -0.23999238665166653, 0.10274201690105991, 0.005042713282531814, -0.1329909996864827, 0.44191685492466937, 0.163258128484564, 0.15139446255358818, -0.05141558975079342, 0.25946692545947275, 0.11583426132136465, 5.204925607693823e-05, 0.0017901344543420955, 0.25879009973845984, 0.19209728349784488, 0.06675468650891593, -0.37655070722593287, -0.004627679254075414, 0.05655176046451456] |
709.2095 | Probing quantum vacuum geometrical effects with cold atoms | The lateral Casimir-Polder force between an atom and a corrugated surface
should allow one to study experimentally non trivial geometrical effects in
quantum vacuum. Here, we derive the theoretical expression of this force in a
scattering approach that accounts for the optical properties of the corrugated
surface. We show that large corrections to the ``proximity force
approximation'' could be measured using present-day technology with a
Bose-Einstein condensate used as a vacuum field sensor.
| quant-ph | the lateral casimirpolder force between an atom and a corrugated surface should allow one to study experimentally non trivial geometrical effects in quantum vacuum here we derive the theoretical expression of this force in a scattering approach that accounts for the optical properties of the corrugated surface we show that large corrections to the proximity force approximation could be measured using presentday technology with a boseeinstein condensate used as a vacuum field sensor | [['the', 'lateral', 'casimirpolder', 'force', 'between', 'an', 'atom', 'and', 'a', 'corrugated', 'surface', 'should', 'allow', 'one', 'to', 'study', 'experimentally', 'non', 'trivial', 'geometrical', 'effects', 'in', 'quantum', 'vacuum', 'here', 'we', 'derive', 'the', 'theoretical', 'expression', 'of', 'this', 'force', 'in', 'a', 'scattering', 'approach', 'that', 'accounts', 'for', 'the', 'optical', 'properties', 'of', 'the', 'corrugated', 'surface', 'we', 'show', 'that', 'large', 'corrections', 'to', 'the', 'proximity', 'force', 'approximation', 'could', 'be', 'measured', 'using', 'presentday', 'technology', 'with', 'a', 'boseeinstein', 'condensate', 'used', 'as', 'a', 'vacuum', 'field', 'sensor']] | [-0.14288992941226453, 0.1611262738646075, -0.13860381144570977, 0.06512993997543387, -0.04137461752413887, -0.13417163432563003, 0.009442928550152541, 0.39276656243082597, -0.23642240473298892, -0.28091889964289046, -0.022933339850007468, -0.26109072185848675, -0.17165017412490632, 0.2109815119925172, -0.002271293898508565, 0.056872729696843725, 0.006548437033142027, -0.0004289123095725089, -0.04816855243343401, -0.16502031408352394, 0.31461405468313663, 0.04339393430743494, 0.2902244432727258, 0.15268586652532015, 0.08628002358345341, -0.004791923817757466, 0.08571815960211297, 0.06927413599284953, -0.18067652403719067, 0.10066994764421085, 0.1940015687588092, -0.04512811714961921, 0.22440536350828327, -0.5004587745013303, -0.19433334186571102, 0.08344024116785763, 0.11021442124492502, 0.2168815740422435, -0.08454541698710559, -0.2947328546760629, -0.018776193261146545, -0.17788316278833233, -0.18288622217329398, -0.09117505864610206, 0.01838731306624178, 0.001352862292288305, -0.2470467961457086, 0.05249620158837674, -0.014160503988945219, 0.03938108995837504, -0.09514975466459275, -0.04119681474459294, 0.016671291354737463, 0.1176908312824695, 0.004968165081912932, 0.036549113706800425, 0.21189124513519544, -0.1319727652789132, -0.06495633401129752, 0.40234938146520965, -0.14855064258732106, -0.1811210009052533, 0.13125696026860442, -0.1788729031965749, -0.01941399194606363, 0.1130940623211432, 0.17054555877685956, 0.07045957818627357, -0.17806941540656637, 0.05361447219134066, -0.015299851534097162, 0.16362840626133632, 0.08952135827443371, 0.048300398073529136, 0.2498541643256194, 0.14834458041419465, 0.03120433870856076, 0.16255379173177462, -0.15677418367784113, -0.0550421337686377, -0.30522578813722484, -0.18033413988321204, -0.20348468999544236, 0.07028344485347401, -0.05956354853756923, -0.21273614908249616, 0.3096466686397995, 0.15617091697959662, 0.16503554078661006, -0.01255450849357533, 0.357037586172762, 0.10580564087275926, 0.09522386660084944, -0.0005211189248892543, 0.34102693215420804, 0.16497625083956, 0.061830867515647245, -0.27443016524911434, 0.002937820612465682, 0.029780586620103824] |
709.2096 | The HI content of Early-Type Galaxies from the ALFALFA survey I.
Catalogued HI sources in the Virgo cluster | Aims: We are using the Arecibo Legacy Fast ALFA survey (ALFALFA), which is
covering 17% of the sky at 21 cm, to study the HI content of Early-Type
galaxies (ETG) in an unbiased way. The aim is to get an overall picture of the
hot, warm and cold ISM of ETG, as a function of galaxy mass and environment, to
understand its origin and fate, and to relate it to the formation and evolution
history of these objects. Methods: This paper deals with the first part of our
study, which is devoted to the 8-16 deg. declination strip in the Virgo
cluster. In this sky region, using the Virgo Cluster Catalogue (VCC), we have
defined an optical sample of 939 ETG, 457 of which are brighter than the VCC
completeness limit at B_T=18.0. We have correlated this optical sample with the
catalogue of detected HI sources from ALFALFA. Results: Out of the 389 ETG from
the VCC with B_T<=18.0, outside the 1 deg. region of poor HI detection around
M87, and corrected for background contamination of VCC galaxies without a known
radial velocity, only 9 galaxies (2.3%) are detected in HI with a completeness
limit of 3.5 and 7.6 x 10^7 Mo of HI for dwarf and giant ETG, respectively. In
addition 4 VCC ETG with fainter magnitudes are also detected. Our HI detection
rate is lower than previously claimed. The majority of the detected ETG appear
to have peculiar morphology and to be located near the edges of the Virgo
cluster. Conclusions: Our preliminary conclusion is that cluster ETG contain
very little neutral gas, with the exceptions of a few peculiar dwarf galaxies
at the edge of the ETG classification and of very few larger ETG, where the
cold gas could have a recent external origin.
| astro-ph | aims we are using the arecibo legacy fast alfa survey alfalfa which is covering 17 of the sky at 21 cm to study the hi content of earlytype galaxies etg in an unbiased way the aim is to get an overall picture of the hot warm and cold ism of etg as a function of galaxy mass and environment to understand its origin and fate and to relate it to the formation and evolution history of these objects methods this paper deals with the first part of our study which is devoted to the 816 deg declination strip in the virgo cluster in this sky region using the virgo cluster catalogue vcc we have defined an optical sample of 939 etg 457 of which are brighter than the vcc completeness limit at b_t180 we have correlated this optical sample with the catalogue of detected hi sources from alfalfa results out of the 389 etg from the vcc with b_t180 outside the 1 deg region of poor hi detection around m87 and corrected for background contamination of vcc galaxies without a known radial velocity only 9 galaxies 23 are detected in hi with a completeness limit of 35 and 76 x 107 mo of hi for dwarf and giant etg respectively in addition 4 vcc etg with fainter magnitudes are also detected our hi detection rate is lower than previously claimed the majority of the detected etg appear to have peculiar morphology and to be located near the edges of the virgo cluster conclusions our preliminary conclusion is that cluster etg contain very little neutral gas with the exceptions of a few peculiar dwarf galaxies at the edge of the etg classification and of very few larger etg where the cold gas could have a recent external origin | [['aims', 'we', 'are', 'using', 'the', 'arecibo', 'legacy', 'fast', 'alfa', 'survey', 'alfalfa', 'which', 'is', 'covering', '17', 'of', 'the', 'sky', 'at', '21', 'cm', 'to', 'study', 'the', 'hi', 'content', 'of', 'earlytype', 'galaxies', 'etg', 'in', 'an', 'unbiased', 'way', 'the', 'aim', 'is', 'to', 'get', 'an', 'overall', 'picture', 'of', 'the', 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709.2097 | Intersection Numbers of Polygon Spaces | We study the intersection ring of the space $\M(\alpha_1,...,\alpha_m)$ of
polygons in $\R^3$. We find homology cycles dual to generators of this ring and
prove a recursion relation in $m$ (the number of steps) for their intersection
numbers. This result is analog of the recursion relation appearing in the work
of Witten and Kontsevich on moduli spaces of punctured curves and on the work
of Weitsman on moduli spaces of flat connections on two-manifolds of genus $g$
with $m$ marked points. Based on this recursion formula we obtain an explicit
expression for the computation of the intersection numbers of polygon spaces
and use it in several examples. Among others, we study the special case of
equilateral polygon spaces (where all the $\alpha_i$ are the same) and compare
our results with the expressions for these particular spaces that have been
determined by Kamiyama and Tezuka. Finally, we relate our explicit formula for
the intersection numbers with the generating function for intersection pairings
of the moduli space of flat connections of Yoshida, as well as with equivalent
expressions for polygon spaces obtained by Takakura and Konno through different
techniques.
| math.SG | we study the intersection ring of the space malpha_1alpha_m of polygons in r3 we find homology cycles dual to generators of this ring and prove a recursion relation in m the number of steps for their intersection numbers this result is analog of the recursion relation appearing in the work of witten and kontsevich on moduli spaces of punctured curves and on the work of weitsman on moduli spaces of flat connections on twomanifolds of genus g with m marked points based on this recursion formula we obtain an explicit expression for the computation of the intersection numbers of polygon spaces and use it in several examples among others we study the special case of equilateral polygon spaces where all the alpha_i are the same and compare our results with the expressions for these particular spaces that have been determined by kamiyama and tezuka finally we relate our explicit formula for the intersection numbers with the generating function for intersection pairings of the moduli space of flat connections of yoshida as well as with equivalent expressions for polygon spaces obtained by takakura and konno through different techniques | [['we', 'study', 'the', 'intersection', 'ring', 'of', 'the', 'space', 'malpha_1alpha_m', 'of', 'polygons', 'in', 'r3', 'we', 'find', 'homology', 'cycles', 'dual', 'to', 'generators', 'of', 'this', 'ring', 'and', 'prove', 'a', 'recursion', 'relation', 'in', 'm', 'the', 'number', 'of', 'steps', 'for', 'their', 'intersection', 'numbers', 'this', 'result', 'is', 'analog', 'of', 'the', 'recursion', 'relation', 'appearing', 'in', 'the', 'work', 'of', 'witten', 'and', 'kontsevich', 'on', 'moduli', 'spaces', 'of', 'punctured', 'curves', 'and', 'on', 'the', 'work', 'of', 'weitsman', 'on', 'moduli', 'spaces', 'of', 'flat', 'connections', 'on', 'twomanifolds', 'of', 'genus', 'g', 'with', 'm', 'marked', 'points', 'based', 'on', 'this', 'recursion', 'formula', 'we', 'obtain', 'an', 'explicit', 'expression', 'for', 'the', 'computation', 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709.2098 | Antideuterons from supersymmetric dark matter | We calculate the antideuteron flux expected from dark matter annihilation in
the galactic halo. The propagation is treated in a full 2-D propagation model
consistent with the results obtained from the propagation of B/C and other
galactic species. We discuss the potentials of this indirect dark matter
detection means, with special emphasis on the possible sources of uncertainties
affecting future measurements
| astro-ph hep-ph | we calculate the antideuteron flux expected from dark matter annihilation in the galactic halo the propagation is treated in a full 2d propagation model consistent with the results obtained from the propagation of bc and other galactic species we discuss the potentials of this indirect dark matter detection means with special emphasis on the possible sources of uncertainties affecting future measurements | [['we', 'calculate', 'the', 'antideuteron', 'flux', 'expected', 'from', 'dark', 'matter', 'annihilation', 'in', 'the', 'galactic', 'halo', 'the', 'propagation', 'is', 'treated', 'in', 'a', 'full', '2d', 'propagation', 'model', 'consistent', 'with', 'the', 'results', 'obtained', 'from', 'the', 'propagation', 'of', 'bc', 'and', 'other', 'galactic', 'species', 'we', 'discuss', 'the', 'potentials', 'of', 'this', 'indirect', 'dark', 'matter', 'detection', 'means', 'with', 'special', 'emphasis', 'on', 'the', 'possible', 'sources', 'of', 'uncertainties', 'affecting', 'future', 'measurements']] | [-0.10625974553280326, 0.12232887634213586, -0.04437596106626948, 0.13406412807277968, -0.09001541891913922, -0.047018343544580406, 0.02569639994610162, 0.3667402274784495, -0.21316672637905987, -0.33018502670141764, 0.004299854916963177, -0.3187611553031707, -0.02224873855221467, 0.20184031082698922, 0.06077412985356861, 0.03491988831932549, 0.03533102773496362, 0.0391512595452979, -0.06287437088150134, -0.20048324818738172, 0.29586982131615036, 0.10812068075613408, 0.2268771272091592, 0.04842296690054116, 0.04953044190331072, 0.013165826016090443, -0.1465837025908051, -0.04373506621503439, -0.18372862508136886, 0.0788353650723813, 0.18220559922123297, 0.10379980432755145, 0.10050226663254568, -0.449907460082017, -0.30136542411551615, 0.1634905266071685, 0.15843635463140537, 0.13351880662815005, -0.12161389951494934, -0.36150239517942806, -0.010800150953057665, -0.1789502584085357, -0.15423338277051685, 0.07072883958882484, -0.05982313941797761, 0.05622600983889377, -0.20470534378784846, 0.1309633901587031, -0.03626390696182603, -0.024846028933515313, -0.11638203280840496, -0.16783354228331906, -0.031115541917836814, 0.036265980169848826, 0.09274228235714321, 0.002433699784708805, 0.19605751141722574, -0.20902920525414168, -0.09482347725921111, 0.45973606786278426, -0.1110808113437207, -0.12494766736616854, 0.15740639863718972, -0.15318929676212692, -0.15048703548238904, 0.11032415979320458, 0.19210051658151092, 0.07456599202648294, -0.14155615805113902, 0.0724660388230285, -0.003949015714289223, 0.1174950642419643, 0.005874706890250816, 0.02972257280813866, 0.31262242052032324, 0.18561416690344693, 0.04410272843555593, 0.07099035958335811, -0.186266765803801, -0.0724440808035815, -0.34883121714057, -0.10034830135400177, -0.11197632164923382, 0.026586050167679787, -0.07729095548604134, -0.08686643952530519, 0.37433072566589126, 0.1684881932661319, 0.19604354841466687, 0.00451484601944685, 0.34001444023652155, 0.08108016949139352, 0.017683633816901776, 0.06254558945380029, 0.3651832457723432, 0.17877532560072962, 0.05930983701904045, -0.23045722508161773, 0.054331853489589986, -0.05651178241508906] |
709.2099 | Representing simple d-dimensional polytopes by d polynomials | A polynomial representation of a convex d-polytope P is a finite set
\{p_1(x),...,p_n(x)\} of polynomials over E^d such that P=\setcond{x \in
\E^d}{p_1(x) \ge 0 {for every} 1 \le i \le n}. By s(d,P) we denote the least
possible number of polynomials in a polynomial representation of P. It is known
that d \le s(d,P) \le 2d-1. Moreover, it is conjectured that s(d,P)=d for all
convex d-polytopes P. We confirm this conjecture for simple d-polytopes by
providing an explicit construction of d polynomials that represent a given
simple d-polytope P.
| math.MG math.AG | a polynomial representation of a convex dpolytope p is a finite set p_1xp_nx of polynomials over ed such that psetcondx in edp_1x ge 0 for every 1 le i le n by sdp we denote the least possible number of polynomials in a polynomial representation of p it is known that d le sdp le 2d1 moreover it is conjectured that sdpd for all convex dpolytopes p we confirm this conjecture for simple dpolytopes by providing an explicit construction of d polynomials that represent a given simple dpolytope p | [['a', 'polynomial', 'representation', 'of', 'a', 'convex', 'dpolytope', 'p', 'is', 'a', 'finite', 'set', 'p_1xp_nx', 'of', 'polynomials', 'over', 'ed', 'such', 'that', 'psetcondx', 'in', 'edp_1x', 'ge', '0', 'for', 'every', '1', 'le', 'i', 'le', 'n', 'by', 'sdp', 'we', 'denote', 'the', 'least', 'possible', 'number', 'of', 'polynomials', 'in', 'a', 'polynomial', 'representation', 'of', 'p', 'it', 'is', 'known', 'that', 'd', 'le', 'sdp', 'le', '2d1', 'moreover', 'it', 'is', 'conjectured', 'that', 'sdpd', 'for', 'all', 'convex', 'dpolytopes', 'p', 'we', 'confirm', 'this', 'conjecture', 'for', 'simple', 'dpolytopes', 'by', 'providing', 'an', 'explicit', 'construction', 'of', 'd', 'polynomials', 'that', 'represent', 'a', 'given', 'simple', 'dpolytope', 'p']] | [-0.20082200976998307, 0.10709834850794597, -0.08472312830366888, 0.025190540792442165, -0.029431640533297214, -0.23095991451098302, 0.014410590666324594, 0.2989768796427132, -0.31230162366748204, -0.22756104466916863, 0.027771392200943514, -0.29976627105294706, -0.16156887497785394, 0.16586143130349906, -0.048679522828870385, 0.004093984228580497, 0.006138215125754996, 0.06816815491765738, -0.06099995099032449, -0.34901588464285743, 0.2391653663132253, -0.09871344764305409, 0.0907378607039708, 0.05468865008591566, 0.12853114090340081, 0.03916305935465146, 0.043519019782759766, 0.007137964590625881, -0.21113636081687684, 0.07435872151548865, 0.3160868338038495, 0.24241298354815605, 0.25913190391174584, -0.31031832586653085, -0.11409266245365955, 0.21869837205862452, 0.1898031948394207, -0.004054113602547278, 0.0024003997488423836, -0.15815365713544535, 0.19892089686161557, -0.12482601576376447, -0.16883220804616983, -0.05418439285266538, 0.17688949833364162, -0.01709027612191993, -0.3668549427286137, -0.0054492142462972985, 0.16661435123099838, 0.12360379292066534, 0.01371081133351423, -0.23646798015160617, -0.01889406275383175, -0.01066592657332157, -0.09934082281570016, 0.11317082604415021, -0.050334321840552525, -0.058255907394490096, -0.11293815732608702, 0.3263974139293612, 0.01914824247576816, -0.21825230438911983, 0.12276355987198131, -0.19045366124834778, -0.20743996680302676, 0.17335826754136835, 0.08479759397071808, 0.21380858913843714, 0.003126150192043116, 0.23883312958465933, -0.20880827732210935, 0.12753300470581583, 0.1595439037611318, -0.04882011324340521, 0.08226119955395196, 0.090235365844375, 0.11193173953743521, 0.08579321138474137, 0.035082012902252206, 0.04131243684867852, -0.3715803156563536, -0.18038778215258242, -0.313478167668299, 0.11692412675975628, -0.19782689994006136, -0.11122023877362873, 0.3043071218484709, 0.048212089692242444, 0.17034443828472218, 0.18485170241098764, 0.16837701082316248, 0.055247226847927246, -0.01665156170032745, 0.13621193756955827, 0.06901769422341225, 0.15383272459405625, -0.05447558624003906, -0.15690134694734806, 0.03950549941509962, 0.1583025227409116] |
709.21 | Real Time Evolution in Quantum Many-Body Systems With Unitary
Perturbation Theory | We develop a new analytical method for solving real time evolution problems
of quantum many-body systems. Our approach is a direct generalization of the
well-known canonical perturbation theory for classical systems. Similar to
canonical perturbation theory, secular terms are avoided in a systematic
expansion and one obtains stable long-time behavior. These general ideas are
illustrated by applying them to the spin-boson model and studying its
non-equilibrium spin dynamics.
| cond-mat.str-el | we develop a new analytical method for solving real time evolution problems of quantum manybody systems our approach is a direct generalization of the wellknown canonical perturbation theory for classical systems similar to canonical perturbation theory secular terms are avoided in a systematic expansion and one obtains stable longtime behavior these general ideas are illustrated by applying them to the spinboson model and studying its nonequilibrium spin dynamics | [['we', 'develop', 'a', 'new', 'analytical', 'method', 'for', 'solving', 'real', 'time', 'evolution', 'problems', 'of', 'quantum', 'manybody', 'systems', 'our', 'approach', 'is', 'a', 'direct', 'generalization', 'of', 'the', 'wellknown', 'canonical', 'perturbation', 'theory', 'for', 'classical', 'systems', 'similar', 'to', 'canonical', 'perturbation', 'theory', 'secular', 'terms', 'are', 'avoided', 'in', 'a', 'systematic', 'expansion', 'and', 'one', 'obtains', 'stable', 'longtime', 'behavior', 'these', 'general', 'ideas', 'are', 'illustrated', 'by', 'applying', 'them', 'to', 'the', 'spinboson', 'model', 'and', 'studying', 'its', 'nonequilibrium', 'spin', 'dynamics']] | [-0.12658220287138486, 0.07958042753093383, -0.1457783826352919, 0.13672770260018297, -0.04321491945644512, -0.1479819121030981, 0.004729364526129383, 0.2859632792362176, -0.2944073892910691, -0.24981575872858658, 0.0606498413185096, -0.24943250582060394, -0.22228603411520667, 0.2500859797240564, -0.015585375744301607, 0.10335839952783905, 0.08274686181753435, -0.008135215557344696, -0.10829279386876699, -0.2261648806537885, 0.3062057868348133, 0.018803723010933027, 0.2251468168961925, 0.003242234233766794, 0.08064425047076143, 0.01431916086414062, 0.01712639116243843, 0.03367885617155801, -0.1260517337359488, 0.12788050985374652, 0.255000461879022, 0.07462577407440062, 0.2957128718604936, -0.42738171108067036, -0.2617126764072215, 0.03464845159803243, 0.12930843027596198, 0.20848848854246385, -0.043060338836820686, -0.29933709673145237, 0.057548204645333015, -0.19473034836803838, -0.20735856351743945, -0.19533110648284063, -0.015652723089956185, -0.02560845115016598, -0.24882126317071893, 0.13994767995523838, 0.05616823729018078, 0.04914869547599879, -0.030007305714260676, -0.06189505453735097, 0.06529620142913807, 0.09349863529068363, 0.009943014485008247, -0.013654925271540004, 0.14029376077986158, -0.08819441864376559, -0.1698695739649017, 0.386382049168734, -0.07324545820901061, -0.18601758059059434, 0.2084889260997229, -0.08953038255875821, -0.13978125290561685, 0.07328801715801306, 0.12139146272366975, 0.1831526391033549, -0.17331530427669778, 0.11127595268771984, 0.013290456619442385, 0.09657261016614296, 0.0021825258702258855, -0.00671930933244499, 0.19966553472092047, 0.16563545374939329, 0.021402792347704664, 0.1271700546186527, 0.03396925329092054, -0.2751778514014886, -0.2744781474004198, -0.11540669624638908, -0.17683558782343478, 0.073063308647012, -0.11112349040494711, -0.1802985021050143, 0.42913722956333966, 0.1455780070109005, 0.12140148213845403, 0.07722440907759044, 0.31674335907925577, 0.21555666705792056, -0.0394894951091641, 0.019035515087821028, 0.21986279815010837, 0.19686695457066355, 0.06594549518023782, -0.27289566906641566, -0.024125508772318855, 0.13310452611596488] |
709.2101 | Observation of the Purcell effect in high-index-contrast micropillar | We have fabricated pillar microcavity samples with Bragg mirrors consisting
of alternate layers of GaAs and Aluminium Oxide. Compared to the more widely
studied GaAs/AlAs micropillars these mirrors can achieve higher reflectivities
with fewer layer repeats and reduce the mode volume. We have studied a number
of samples containing a low density of InGaAs/GaAs self assembled quantum dots
in a cavity and here report observation of a three fold enhancement in the
radiative lifetime of a quantum dot exciton state due to the Purcell effect.
| cond-mat.other quant-ph | we have fabricated pillar microcavity samples with bragg mirrors consisting of alternate layers of gaas and aluminium oxide compared to the more widely studied gaasalas micropillars these mirrors can achieve higher reflectivities with fewer layer repeats and reduce the mode volume we have studied a number of samples containing a low density of ingaasgaas self assembled quantum dots in a cavity and here report observation of a three fold enhancement in the radiative lifetime of a quantum dot exciton state due to the purcell effect | [['we', 'have', 'fabricated', 'pillar', 'microcavity', 'samples', 'with', 'bragg', 'mirrors', 'consisting', 'of', 'alternate', 'layers', 'of', 'gaas', 'and', 'aluminium', 'oxide', 'compared', 'to', 'the', 'more', 'widely', 'studied', 'gaasalas', 'micropillars', 'these', 'mirrors', 'can', 'achieve', 'higher', 'reflectivities', 'with', 'fewer', 'layer', 'repeats', 'and', 'reduce', 'the', 'mode', 'volume', 'we', 'have', 'studied', 'a', 'number', 'of', 'samples', 'containing', 'a', 'low', 'density', 'of', 'ingaasgaas', 'self', 'assembled', 'quantum', 'dots', 'in', 'a', 'cavity', 'and', 'here', 'report', 'observation', 'of', 'a', 'three', 'fold', 'enhancement', 'in', 'the', 'radiative', 'lifetime', 'of', 'a', 'quantum', 'dot', 'exciton', 'state', 'due', 'to', 'the', 'purcell', 'effect']] | [-0.13325018805369515, 0.19597749964279287, -0.005094289779663086, -0.07001024516032296, 0.059415137356914144, -0.18544299975585413, 0.05655418201212716, 0.4815026107518112, -0.18087591863072972, -0.3491763780441354, 0.0033386379891239544, -0.2910108373226488, -0.08753897375701104, 0.20841010300826063, -0.020153107050368015, 0.07911334359908805, 0.03543093657011495, -0.07249951319330755, -0.034506136189927074, -0.21667752918403815, 0.2519857446813737, 0.03560965190203313, 0.3263144208666156, 0.01912758392007912, 0.11388018230688485, -0.04928612929275807, 0.10707844142418574, 0.0026721753837431177, -0.12239906650913113, 0.1333764990024707, 0.2463256040478454, -0.10903900258160909, 0.2512504089842824, -0.5189289227401948, -0.18544806513716192, 0.021040910515276824, 0.1810895063859575, 0.15737748032107074, -0.104362561425831, -0.2286007842679015, 0.07852832370656816, -0.14965252316940356, -0.06715154725619975, 0.012461155981701963, -0.04281401596963406, -0.031483285476946656, -0.21497821259750602, 0.029952625103075715, 0.02071198725470287, 0.037890558895271494, 0.004828782122143928, -0.11223692678921747, -0.03493530793553766, 0.04152139963253456, -0.05603266489856383, -0.018842876954552005, 0.25144769262303324, -0.10907739265000119, -0.158218249086948, 0.3304094265817719, -0.06118182180558934, -0.10856699036324725, 0.14880651302758932, -0.18972111520740917, 0.010780135218930596, 0.1745712585610283, 0.17377116026028114, 0.10229320545297335, -0.11265707820489565, 0.02633823742644916, -0.016336102582349934, 0.24426949692561345, 0.16532426590428634, 0.14255830819773324, 0.19889723593369127, 0.23498431835323572, -0.0185853740255184, 0.21627045455320246, -0.14334957570604542, -0.039209976041799086, -0.16296846988227437, -0.22153280462371186, -0.18614683525794296, 0.11350949378136327, -0.05421784413269694, -0.21351835047278334, 0.3839685762848924, 0.06058751870056286, 0.19446286697159795, -0.02906839080593165, 0.28185274285428663, 0.07761906777672908, 0.14106645830633008, -0.04292001621797681, 0.28176372377749753, 0.21485736431444394, 0.04341844100066844, -0.2543732225045781, -0.007539399028481806, -0.05700852095752078] |
709.2102 | Pluripolar hulls and fine analytic structure | We discuss the relation between pluripolar hulls and fine analytic structure.
Our main result is the following. For each non polar subset $S$ of the complex
plane $\mathbb C$ we prove that there exists a pluripolar set $E \subset (S
\times \mathbb C)$ with the property that the pluripolar hull of $E$ relative
to $\mathbb C^2$ contains no fine analytic structure and its projection onto
the first coordinate plane equals $\mathbb C$.
| math.CV | we discuss the relation between pluripolar hulls and fine analytic structure our main result is the following for each non polar subset s of the complex plane mathbb c we prove that there exists a pluripolar set e subset s times mathbb c with the property that the pluripolar hull of e relative to mathbb c2 contains no fine analytic structure and its projection onto the first coordinate plane equals mathbb c | [['we', 'discuss', 'the', 'relation', 'between', 'pluripolar', 'hulls', 'and', 'fine', 'analytic', 'structure', 'our', 'main', 'result', 'is', 'the', 'following', 'for', 'each', 'non', 'polar', 'subset', 's', 'of', 'the', 'complex', 'plane', 'mathbb', 'c', 'we', 'prove', 'that', 'there', 'exists', 'a', 'pluripolar', 'set', 'e', 'subset', 's', 'times', 'mathbb', 'c', 'with', 'the', 'property', 'that', 'the', 'pluripolar', 'hull', 'of', 'e', 'relative', 'to', 'mathbb', 'c2', 'contains', 'no', 'fine', 'analytic', 'structure', 'and', 'its', 'projection', 'onto', 'the', 'first', 'coordinate', 'plane', 'equals', 'mathbb', 'c']] | [-0.2349689715516029, 0.013371309096530441, -0.0003050686015437047, -0.022668223962278314, -0.05461300840963506, -0.10857464323958589, 0.03428905847896305, 0.3871968917341696, -0.3218275097250525, -0.12113373527406818, 0.06339619372738525, -0.3013628726023146, -0.0793864945622368, 0.17436029522731486, -0.05892207632617404, -0.013908987089558246, 0.026036209003602078, 0.0464478952732558, -0.11129649255114298, -0.22239019327874607, 0.3328136812779121, -0.11891788052728064, 0.17841377197570787, 0.03758201564455198, 0.10005333613500828, 0.025011630974606507, 0.004010909489200761, -0.0005635880612923453, -0.23300903421901845, 0.10652026314184898, 0.2137796551299592, 0.19440630088340388, 0.18724015816244194, -0.35825262523980606, -0.11889270248098506, 0.24071057526291245, 0.09723991439548424, -0.0714905294848399, -0.01815866733603697, -0.21500192023813725, 0.1396316808467317, -0.05836958176870313, -0.19660725005410817, -0.036741980830103986, 0.21227106832278272, 0.019361198918583494, -0.25443623448599184, -0.01276103262272146, 0.16003395641150242, 0.08369588022792919, -0.046429533687640086, -0.1293455589394499, -0.1472375509587841, 0.06401050322973686, -0.03148881776400635, 0.24042863605265868, 0.11686474575091982, 0.03737144022509003, -0.0415631203423901, 0.40743890446093345, -0.0691855863486934, -0.2515005990733496, 0.17655650407929593, -0.24312658274882576, -0.12890517930241507, 0.12959673531198254, 0.08597690221116257, 0.14612305148815116, -0.02165073609568127, 0.2898038035345962, -0.1595820019776713, 0.12602908378984365, 0.09756000400779562, -0.013103332003487999, 0.14939023703724766, 0.06913464054943891, 0.11313617214586379, 0.10363445287415136, -0.0410414682313179, -0.025435792518692324, -0.4605620890571218, -0.15140305002892596, -0.14979679850512184, 0.14174356848363662, -0.13025892404928324, -0.1764585457276553, 0.3389326946085526, 0.04923627317637309, 0.27005021188718575, 0.06427714877968861, 0.23691025609635594, 0.031023631027791352, -0.00879211784114078, 0.14736142972510102, 0.07872770524894197, 0.1268049417477515, -0.05432307619937799, -0.18515120896821222, 0.022744500324026577, 0.16665311658289284] |
709.2103 | Dipole-dipole interaction between orthogonal dipole moments in
time-dependent geometries | In two nearby atoms, the dipole-dipole interaction can couple transitions
with orthogonal dipole moments. This orthogonal coupling accounts for a number
of interesting effects, but strongly depends on the geometry of the setup.
Here, we discuss several setups of interest where the geometry is not fixed,
such as particles in a trap or gases, by averaging over different sets of
geometries. Two averaging methods are compared. In the first method, it is
assumed that the internal electronic evolution is much faster than the change
of geometry, whereas in the second, it is vice versa. We find that the
orthogonal coupling typically survives even extensive averaging over different
geometries, albeit with qualitatively different results for the two averaging
methods. Typically, one- and two-dimensional averaging ranges modelling, e.g.,
low-dimensional gases, turn out to be the most promising model systems.
| quant-ph | in two nearby atoms the dipoledipole interaction can couple transitions with orthogonal dipole moments this orthogonal coupling accounts for a number of interesting effects but strongly depends on the geometry of the setup here we discuss several setups of interest where the geometry is not fixed such as particles in a trap or gases by averaging over different sets of geometries two averaging methods are compared in the first method it is assumed that the internal electronic evolution is much faster than the change of geometry whereas in the second it is vice versa we find that the orthogonal coupling typically survives even extensive averaging over different geometries albeit with qualitatively different results for the two averaging methods typically one and twodimensional averaging ranges modelling eg lowdimensional gases turn out to be the most promising model systems | [['in', 'two', 'nearby', 'atoms', 'the', 'dipoledipole', 'interaction', 'can', 'couple', 'transitions', 'with', 'orthogonal', 'dipole', 'moments', 'this', 'orthogonal', 'coupling', 'accounts', 'for', 'a', 'number', 'of', 'interesting', 'effects', 'but', 'strongly', 'depends', 'on', 'the', 'geometry', 'of', 'the', 'setup', 'here', 'we', 'discuss', 'several', 'setups', 'of', 'interest', 'where', 'the', 'geometry', 'is', 'not', 'fixed', 'such', 'as', 'particles', 'in', 'a', 'trap', 'or', 'gases', 'by', 'averaging', 'over', 'different', 'sets', 'of', 'geometries', 'two', 'averaging', 'methods', 'are', 'compared', 'in', 'the', 'first', 'method', 'it', 'is', 'assumed', 'that', 'the', 'internal', 'electronic', 'evolution', 'is', 'much', 'faster', 'than', 'the', 'change', 'of', 'geometry', 'whereas', 'in', 'the', 'second', 'it', 'is', 'vice', 'versa', 'we', 'find', 'that', 'the', 'orthogonal', 'coupling', 'typically', 'survives', 'even', 'extensive', 'averaging', 'over', 'different', 'geometries', 'albeit', 'with', 'qualitatively', 'different', 'results', 'for', 'the', 'two', 'averaging', 'methods', 'typically', 'one', 'and', 'twodimensional', 'averaging', 'ranges', 'modelling', 'eg', 'lowdimensional', 'gases', 'turn', 'out', 'to', 'be', 'the', 'most', 'promising', 'model', 'systems']] | [-0.13110154317046113, 0.16513276030139548, -0.05937136599223, 0.05758776199998823, -0.025559043530442745, -0.1582862801618711, -0.0058096902254615385, 0.40465257131243054, -0.23719704542462, -0.2839880468269443, 0.08901775635806096, -0.26230945532128597, -0.12630574467734698, 0.2205085776793859, 0.014794966654620902, -0.030826843454991978, 0.040356759790902155, 0.014383612935648837, -0.11026253149994261, -0.2408208870804821, 0.30004545822263745, 0.02277931135936375, 0.2991693587803764, 0.006300154483892418, 0.05850820531252853, 0.00307013016503413, 0.009248890669295823, 0.056391605101253864, -0.07293564133079686, 0.10220838787142922, 0.2092887654218204, 0.04582226591483846, 0.2547503040498462, -0.4366562670762957, -0.2363207151188794, 0.11595333084450478, 0.17938975806135163, 0.16250183300053986, -0.005987735435427812, -0.24514224767059523, -0.014221524068555475, -0.1409126993873748, -0.08226317798813981, -0.09620441051104861, 0.011319813199586025, 0.048930272857665366, -0.2635099583128671, 0.0577124341384229, 0.0649190155524135, 0.05684728864036555, -0.058401222215000076, -0.12270072642475856, 0.008081955165622661, 0.09182881009357091, 0.054405382004172206, -0.00911623766700173, 0.14924535511170317, -0.10050183551319719, -0.09085358450712677, 0.4162599379434692, -0.06620839527070124, -0.2353473617389363, 0.2454285799325138, -0.16633360124240718, -0.10114980666442727, 0.13738077526137124, 0.1423885053853049, 0.13942361102663797, -0.1297637373650868, 0.05482200188281858, -0.03744866166783864, 0.1509055345162858, 0.07899106045110818, 0.04760695883433205, 0.21557964647637448, 0.14673266444613572, 0.07634350600699982, 0.11748792951668266, -0.08386484118701931, -0.15533181226193687, -0.2596323737045274, -0.10762875182826044, -0.19205084416580243, 0.03323302736319347, -0.10107058103450822, -0.13558397479491294, 0.39708337193205406, 0.16936830889066531, 0.21187102407162642, -0.034380397137363246, 0.30808503349332045, 0.08963517353098405, 0.07771503549055571, 0.043241436985817595, 0.27353676903166935, 0.11076456946014923, 0.04402750560565152, -0.2114963663139051, 0.04380381577070395, 0.01707179344388364] |
709.2104 | Homogeneous bundles and the first eigenvalue of symmetric spaces | We prove the stability of the Gieseker point of an irreducible homogeneous
bundle over a rational homogeneous space. As an application we get a sharp
upper estimate for the first eigenvalue of the Laplacian of an arbitrary
Kaehler metric on a compact Hermitian symmetric spaces of ABCD--type.
| math.DG math.AG | we prove the stability of the gieseker point of an irreducible homogeneous bundle over a rational homogeneous space as an application we get a sharp upper estimate for the first eigenvalue of the laplacian of an arbitrary kaehler metric on a compact hermitian symmetric spaces of abcdtype | [['we', 'prove', 'the', 'stability', 'of', 'the', 'gieseker', 'point', 'of', 'an', 'irreducible', 'homogeneous', 'bundle', 'over', 'a', 'rational', 'homogeneous', 'space', 'as', 'an', 'application', 'we', 'get', 'a', 'sharp', 'upper', 'estimate', 'for', 'the', 'first', 'eigenvalue', 'of', 'the', 'laplacian', 'of', 'an', 'arbitrary', 'kaehler', 'metric', 'on', 'a', 'compact', 'hermitian', 'symmetric', 'spaces', 'of', 'abcdtype']] | [-0.1925440724260862, 0.0430705550100791, -0.098920641861775, 0.06448376300218313, -0.09994171993078096, -0.06798893847988675, -0.015121735956357874, 0.3417741136584917, -0.25496668052738125, -0.13688142630069153, 0.14739456578441287, -0.22906564003990396, -0.17066822177350885, 0.18561258689378915, -0.09038244408514837, 0.01473562528743692, 0.021522529747175133, 0.1511181416293687, -0.16012497786837426, -0.26446927245959395, 0.4943008533800426, -0.0027566762722056846, 0.2144485356680968, 0.0743906861980972, 0.1529107725288233, 0.0014159421476980915, 0.003086201634015078, -0.05807829942900951, -0.17048331410826548, 0.16282503578164007, 0.2586951160236545, 0.031153823598288, 0.22625835511185552, -0.359258811596943, -0.1647305833821124, 0.2628315615710681, 0.10893841229541146, -0.004361003252637127, -0.012366780340570309, -0.31355992364494695, 0.08314776930796064, -0.1242925738915801, -0.23414972157258054, -0.07858655196817024, 0.04571861334894176, -0.0031439225877756658, -0.29362195380963385, -0.0379666727360176, 0.1293682067695519, 0.0746787367230433, -0.18108998370640303, -0.08429651692732358, -0.04442999283175753, 0.08504931336147306, -0.06599135465069633, 0.030770062248769176, 0.061756428725936494, -0.06283284790570969, -0.10802415684472931, 0.33261040549563325, -0.13957095079366927, -0.281597541321231, 0.05240865148927854, -0.08804570555524982, -0.11510912029315597, 0.14002697655688162, 0.1902382162946236, 0.20763854963866912, -0.0051710275204285335, 0.19070237822344768, -0.1412236943193104, 0.09337350783386247, 0.0917059829984994, -0.016504501357026722, 0.11603053919869759, 0.13513691937955824, 0.22552168523163899, 0.17205022631779962, -0.02156587147012191, -0.06327904651887999, -0.3954388416655686, -0.2634534820023438, -0.1891429750147559, 0.20198098651092986, -0.22728598143136047, -0.2841556891798973, 0.4080630984542001, -0.026022564336333587, 0.24989366590085885, 0.1233947898828141, 0.24343031369473622, 0.09289484259763571, -0.05524240861363385, 0.08289612696060668, 0.19763374599911596, 0.22954745056188625, -0.0037260379809278834, -0.11811439660580261, -0.06169440642849583, 0.15610177444456064] |
709.2105 | Oxide-apertured microcavity single-photon emitting diode | We have developed a microcavity single-photon source based on a single
quantum dot within a planar cavity in which wet-oxidation of a high-aluminium
content layer provides lateral confinement of both the photonic mode and the
injection current. Lateral confinement of the optical mode in optically pumped
structures produces a strong enhancement of the radiative decay rate. Using
microcavity structures with doped contact layers, we demonstrate a
single-photon emitting diode where current may be injected into a single dot.
| cond-mat.other quant-ph | we have developed a microcavity singlephoton source based on a single quantum dot within a planar cavity in which wetoxidation of a highaluminium content layer provides lateral confinement of both the photonic mode and the injection current lateral confinement of the optical mode in optically pumped structures produces a strong enhancement of the radiative decay rate using microcavity structures with doped contact layers we demonstrate a singlephoton emitting diode where current may be injected into a single dot | [['we', 'have', 'developed', 'a', 'microcavity', 'singlephoton', 'source', 'based', 'on', 'a', 'single', 'quantum', 'dot', 'within', 'a', 'planar', 'cavity', 'in', 'which', 'wetoxidation', 'of', 'a', 'highaluminium', 'content', 'layer', 'provides', 'lateral', 'confinement', 'of', 'both', 'the', 'photonic', 'mode', 'and', 'the', 'injection', 'current', 'lateral', 'confinement', 'of', 'the', 'optical', 'mode', 'in', 'optically', 'pumped', 'structures', 'produces', 'a', 'strong', 'enhancement', 'of', 'the', 'radiative', 'decay', 'rate', 'using', 'microcavity', 'structures', 'with', 'doped', 'contact', 'layers', 'we', 'demonstrate', 'a', 'singlephoton', 'emitting', 'diode', 'where', 'current', 'may', 'be', 'injected', 'into', 'a', 'single', 'dot']] | [-0.1638420019298792, 0.17218843884275933, -0.032349225587064497, -0.0639359591418485, 0.01972338361788149, -0.23050534969661385, 0.07006713459850289, 0.48848597842611763, -0.22284825080025353, -0.25761174834578443, -0.0135671807036392, -0.2621378179296459, -0.027965498671523835, 0.2353068974457289, 0.02357982550931506, 0.054468852443326464, 0.03677836001703614, -0.07295952084180164, 0.014029938675536724, -0.08669047310372423, 0.26607041943230125, 0.026386705660690114, 0.3668197298079337, 0.097117191339892, 0.13221636400435513, -0.0333930501273196, 0.11806468285718247, -0.02887252105498, -0.07860466160835992, 0.11331655067318168, 0.17823842788838143, -0.07682113402743677, 0.2536327449519089, -0.5006129891967008, -0.2424690193423119, -0.023543460147553368, 0.20824863951604225, 0.17123093591286115, -0.1507302109645312, -0.29708141894815, 0.026508948067203164, -0.15615260782406518, -0.050228938589019605, 0.052039298032851594, -0.05768829031455282, 0.005220676925474484, -0.27656785964867786, 0.030359116367579094, 0.05617535036167522, -0.004174481308406317, -0.010678353082192572, 0.016517993369090715, -0.042625415408493655, 0.06067391347115565, -0.11044100287223332, 0.028170057443754847, 0.28826080507133156, -0.17549418712855855, -0.14951508669917912, 0.3249203957690808, -0.1377964605773358, -0.1608893609679255, 0.1199350097480132, -0.20950668043530496, 0.02162140091930173, 0.17147112223564795, 0.17553684045560658, 0.10346723070956375, -0.1173715204196541, 0.0257522733139156, -0.034598170313984156, 0.25707204282087714, 0.08690486765331834, 0.1582675099826271, 0.28211825924288286, 0.27741101944181873, -0.009776752132701835, 0.22181093685273817, -0.18079747367147847, -0.04412695949308967, -0.2510032231711145, -0.18251117881951168, -0.1532243984425134, 0.12798994185255938, -0.06037578250777044, -0.21143241148245961, 0.4408549964366677, 0.07463348171165164, 0.1662176023482492, -0.06901208258472923, 0.3248316946586496, 0.15847411393923194, 0.12512019987365133, 0.045696938581960764, 0.32393853312456294, 0.17357760807805644, 0.07674802944529802, -0.268824291489038, -0.01272051482412376, -0.03903968348382286] |
709.2106 | Measuring stellar magnetic fields with the low resolution
spectropolarimeter of the William Herschel Telescope | Despite the influence of magnetic fields on the structure and evolution of
stars is largely demonstrated from the theoretical point of view, their
observational evidence in non-degenerated stars is still rather scanty and
mainly circumscribed to bright objects (V<10). Stellar magnetic fields are
commonly measured on the basis of circular spectropolarimetry at high/middle
resolution across the profile of metal lines. The present sensitivity of
telescopes and spectrographs makes this still an almost prohibitive method for
faint stars. In principle, stellar magnetic fields can be also measured on the
basis of low resolution spectropolarimetry, with very important results
obtained at the 8 m ESO telescopes with FORS1. The trade off between S/N and
spectral resolution in measuring stellar magnetic fields justify an attempt,
here presented, to perform these measurements at the 4.5 m William Herschel
Telescope. HD3360, one of the stars with the weakest known magnetic field, and
the magnetic chemically peculiar stars HD10783, HD74521 and HD201601 have been
observed with the spectropolarimeter ISIS in the 3785-4480 A range. Measured
stellar magnetic fields, from Stokes I and V spectra with S/N > 600, show an
internal error of <50 G selecting the whole interval and <200 G within a Balmer
line. Ripples in the Stokes V spectra of HD3360 result in an instrumental
positive magnetic field certainly not larger than 80 G.
| astro-ph | despite the influence of magnetic fields on the structure and evolution of stars is largely demonstrated from the theoretical point of view their observational evidence in nondegenerated stars is still rather scanty and mainly circumscribed to bright objects v10 stellar magnetic fields are commonly measured on the basis of circular spectropolarimetry at highmiddle resolution across the profile of metal lines the present sensitivity of telescopes and spectrographs makes this still an almost prohibitive method for faint stars in principle stellar magnetic fields can be also measured on the basis of low resolution spectropolarimetry with very important results obtained at the 8 m eso telescopes with fors1 the trade off between sn and spectral resolution in measuring stellar magnetic fields justify an attempt here presented to perform these measurements at the 45 m william herschel telescope hd3360 one of the stars with the weakest known magnetic field and the magnetic chemically peculiar stars hd10783 hd74521 and hd201601 have been observed with the spectropolarimeter isis in the 37854480 a range measured stellar magnetic fields from stokes i and v spectra with sn 600 show an internal error of 50 g selecting the whole interval and 200 g within a balmer line ripples in the stokes v spectra of hd3360 result in an instrumental positive magnetic field certainly not larger than 80 g | [['despite', 'the', 'influence', 'of', 'magnetic', 'fields', 'on', 'the', 'structure', 'and', 'evolution', 'of', 'stars', 'is', 'largely', 'demonstrated', 'from', 'the', 'theoretical', 'point', 'of', 'view', 'their', 'observational', 'evidence', 'in', 'nondegenerated', 'stars', 'is', 'still', 'rather', 'scanty', 'and', 'mainly', 'circumscribed', 'to', 'bright', 'objects', 'v10', 'stellar', 'magnetic', 'fields', 'are', 'commonly', 'measured', 'on', 'the', 'basis', 'of', 'circular', 'spectropolarimetry', 'at', 'highmiddle', 'resolution', 'across', 'the', 'profile', 'of', 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709.2107 | The Mean Curvature of the Second Fundamental Form of a hypersurface | An expression for the first variation of the area functional of the second
fundamental form is given for a hypersurface in a semi-Riemannian space. The
concept of the "mean curvature of the second fundamental form" is then
introduced. Some characterisations of extrinsic hyperspheres in terms of this
curvature are given.
| math.DG | an expression for the first variation of the area functional of the second fundamental form is given for a hypersurface in a semiriemannian space the concept of the mean curvature of the second fundamental form is then introduced some characterisations of extrinsic hyperspheres in terms of this curvature are given | [['an', 'expression', 'for', 'the', 'first', 'variation', 'of', 'the', 'area', 'functional', 'of', 'the', 'second', 'fundamental', 'form', 'is', 'given', 'for', 'a', 'hypersurface', 'in', 'a', 'semiriemannian', 'space', 'the', 'concept', 'of', 'the', 'mean', 'curvature', 'of', 'the', 'second', 'fundamental', 'form', 'is', 'then', 'introduced', 'some', 'characterisations', 'of', 'extrinsic', 'hyperspheres', 'in', 'terms', 'of', 'this', 'curvature', 'are', 'given']] | [-0.1804146985337138, 0.05601520574913593, -0.05880369582213461, 0.0556473186169751, -0.07085026580840349, -0.03213357513770461, -0.045208743084222076, 0.28793800838291644, -0.26974909044802187, -0.2477758792974055, 0.09697578756604344, -0.26467737345024944, -0.2192022477835417, 0.1745420415699482, -0.13622745361179114, 0.018883722750470042, -0.027097974978387354, 0.16692195557057857, -0.08199087429791689, -0.2439293958619237, 0.42567910566926004, 0.004546045325696468, 0.2049293571524322, 0.09718989290995524, 0.14416337731294335, -0.016740284524858, -0.009349990449845792, 0.05926727616169956, -0.17478322725743056, 0.2311569831892848, 0.17204437416046858, 0.11261654121801257, 0.30384968714788557, -0.3638770644366741, -0.210655400454998, 0.11666323062032462, 0.08268181460909546, 0.04711381703615189, -0.02846689209342003, -0.25656572192907334, 0.08298685930669308, -0.07398661151528359, -0.13178395127877593, -0.04394001849228516, 0.04279796615242958, -0.0011688005179166794, -0.20301837109029294, 0.08587998270988464, 0.10584490332752466, 0.07677998289465904, -0.13614469782449304, -0.10427307946607471, -0.006977447643876076, 0.15330901968292893, 0.04281354478560388, 0.046427789609879255, 0.05172944754362106, -0.12798993767704814, -0.06833551037125289, 0.39799525536596775, -0.08463793376460671, -0.28570509918034076, 0.033603772558271884, -0.1463649956509471, -0.144009340563789, 0.10889863055199385, 0.18480028457939623, 0.15824372377246618, -0.15946272522211075, 0.13366499847732485, -0.0073928289399191275, 0.08930704090744257, 0.10601997471414507, 0.02621351048350334, 0.15645780647173524, 0.1578458881378174, 0.10610110636800528, 0.16807707561179996, -0.07599609720520675, -0.07139924131333827, -0.44539487462490795, -0.2914083703048527, -0.22190156817436218, 0.05499549169093371, -0.1623508164472878, -0.22120004938915372, 0.4060161049850285, -0.01816771153360605, 0.20205834224820138, 0.08975554475560785, 0.27904641496483235, 0.12570608757436275, 0.022338047986850143, 0.06458940745331347, 0.22131459684402216, 0.20317528396844864, 0.04084049679338932, -0.13119627634179779, 0.04909706044942141, 0.11998579706996679] |
709.2108 | Robustness of community structure in networks | The discovery of community structure is a common challenge in the analysis of
network data. Many methods have been proposed for finding community structure,
but few have been proposed for determining whether the structure found is
statistically significant or whether, conversely, it could have arisen purely
as a result of chance. In this paper we show that the significance of community
structure can be effectively quantified by measuring its robustness to small
perturbations in network structure. We propose a suitable method for perturbing
networks and a measure of the resulting change in community structure and use
them to assess the significance of community structure in a variety of
networks, both real and computer generated.
| physics.data-an cond-mat.stat-mech physics.soc-ph | the discovery of community structure is a common challenge in the analysis of network data many methods have been proposed for finding community structure but few have been proposed for determining whether the structure found is statistically significant or whether conversely it could have arisen purely as a result of chance in this paper we show that the significance of community structure can be effectively quantified by measuring its robustness to small perturbations in network structure we propose a suitable method for perturbing networks and a measure of the resulting change in community structure and use them to assess the significance of community structure in a variety of networks both real and computer generated | [['the', 'discovery', 'of', 'community', 'structure', 'is', 'a', 'common', 'challenge', 'in', 'the', 'analysis', 'of', 'network', 'data', 'many', 'methods', 'have', 'been', 'proposed', 'for', 'finding', 'community', 'structure', 'but', 'few', 'have', 'been', 'proposed', 'for', 'determining', 'whether', 'the', 'structure', 'found', 'is', 'statistically', 'significant', 'or', 'whether', 'conversely', 'it', 'could', 'have', 'arisen', 'purely', 'as', 'a', 'result', 'of', 'chance', 'in', 'this', 'paper', 'we', 'show', 'that', 'the', 'significance', 'of', 'community', 'structure', 'can', 'be', 'effectively', 'quantified', 'by', 'measuring', 'its', 'robustness', 'to', 'small', 'perturbations', 'in', 'network', 'structure', 'we', 'propose', 'a', 'suitable', 'method', 'for', 'perturbing', 'networks', 'and', 'a', 'measure', 'of', 'the', 'resulting', 'change', 'in', 'community', 'structure', 'and', 'use', 'them', 'to', 'assess', 'the', 'significance', 'of', 'community', 'structure', 'in', 'a', 'variety', 'of', 'networks', 'both', 'real', 'and', 'computer', 'generated']] | [-0.11331363921584725, -0.0020491439489680424, -0.09829477536933202, 0.06818636428062363, -0.08807640651796471, -0.08834108628185564, 0.03462076474802176, 0.41662333760892545, -0.30643883108962, -0.3623362969476403, 0.11885965045994933, -0.21928457330846995, -0.23240008887532576, 0.1727347003046848, -0.028894804646832903, 0.06456533023677032, 0.1043990768020625, 0.05945009447781271, -0.02668799083524694, -0.23479690874738848, 0.33419207807042095, 0.0949345256218262, 0.30149055153270365, 0.07000924497352619, 0.05341082632545741, -0.06329071326099597, -0.05006266313629519, 0.09071370784250464, -0.059261069333156786, 0.1483495639097926, 0.25907879964519487, 0.2052743915231539, 0.333521301251542, -0.38822608460721214, -0.2613804653090866, 0.1618927790938566, 0.1317785836678619, 0.13586947872515834, -0.07544521303855602, -0.29352648265398384, 0.14936490383881487, -0.1957633697607538, -0.09637215429214402, -0.12720075074844717, 0.03217156564718798, -0.03183156295205679, -0.20211334975605846, 0.0458879259153547, 0.04610056796503302, 0.07226310858274237, -0.0181791411861859, -0.08692996278650274, -0.004481598612313208, 0.16805170945161463, 0.02797388870742891, 0.01978040193901969, 0.10567385097965598, -0.15399250466368375, -0.13340567609523996, 0.409794053250695, -0.052146257528332636, -0.1943045533834058, 0.20273712407307407, -0.12867551758117451, -0.18643609352671264, 0.10141547578550353, 0.235201242820997, 0.07434511964879277, -0.17201492716834, 0.059756877097370625, -0.050620272396165025, 0.17326429404579757, 0.05310173872694896, -0.0003808787901346621, 0.2195516924430992, 0.21627163407270258, 0.0473990706668701, 0.10549612174917568, -0.10359099004320645, -0.05937044850648626, -0.17887193047065744, -0.13529008120429098, -0.1961656280041656, 0.003328936071372019, -0.03516498680613024, -0.1761292357716644, 0.4409462231897602, 0.1665028702046951, 0.20529783442371377, -0.0030645101592598253, 0.25742566665601835, 0.06078255950910317, 0.08804575136245898, 0.05423376924897495, 0.2643950613125701, 0.10746925286826138, 0.05321083012804912, -0.15340763413379982, 0.15661753702238856, -0.032344147795811296] |
709.2109 | Non-Topological Gauss-Bonnet type model of gravity with torsion | A non-topological Lorentz gauge model of gravity with torsion based on
Gauss-Bonnet type Lagrangian is considered. The Lagrangian differs from the
Lovelock term in four-dimensional space-time and has a number of interesting
features. We demonstrate that the model admits a propagating torsion unlike the
case of the topological Lovelock gravity. Due to additional symmetries of the
proposed Gauss-Bonnet type Lagrangian the torsion has a reduced set of
dynamical degrees of freedom corresponding to the spin two field, U(1) gauge
vector field and spin zero field. A remarkable feature is that the kinetic part
of the Hamiltonian containing the spin two field is positively defined. We
perform one-loop quantization of the model for a special case of constant
Riemann curvature space-time background treating the torsion as a quantum field
variable. We discuss a possible mechanism of emergent Einstein gravity as an
effective theory which can be induced due to quantum dynamics of torsion.
| gr-qc | a nontopological lorentz gauge model of gravity with torsion based on gaussbonnet type lagrangian is considered the lagrangian differs from the lovelock term in fourdimensional spacetime and has a number of interesting features we demonstrate that the model admits a propagating torsion unlike the case of the topological lovelock gravity due to additional symmetries of the proposed gaussbonnet type lagrangian the torsion has a reduced set of dynamical degrees of freedom corresponding to the spin two field u1 gauge vector field and spin zero field a remarkable feature is that the kinetic part of the hamiltonian containing the spin two field is positively defined we perform oneloop quantization of the model for a special case of constant riemann curvature spacetime background treating the torsion as a quantum field variable we discuss a possible mechanism of emergent einstein gravity as an effective theory which can be induced due to quantum dynamics of torsion | [['a', 'nontopological', 'lorentz', 'gauge', 'model', 'of', 'gravity', 'with', 'torsion', 'based', 'on', 'gaussbonnet', 'type', 'lagrangian', 'is', 'considered', 'the', 'lagrangian', 'differs', 'from', 'the', 'lovelock', 'term', 'in', 'fourdimensional', 'spacetime', 'and', 'has', 'a', 'number', 'of', 'interesting', 'features', 'we', 'demonstrate', 'that', 'the', 'model', 'admits', 'a', 'propagating', 'torsion', 'unlike', 'the', 'case', 'of', 'the', 'topological', 'lovelock', 'gravity', 'due', 'to', 'additional', 'symmetries', 'of', 'the', 'proposed', 'gaussbonnet', 'type', 'lagrangian', 'the', 'torsion', 'has', 'a', 'reduced', 'set', 'of', 'dynamical', 'degrees', 'of', 'freedom', 'corresponding', 'to', 'the', 'spin', 'two', 'field', 'u1', 'gauge', 'vector', 'field', 'and', 'spin', 'zero', 'field', 'a', 'remarkable', 'feature', 'is', 'that', 'the', 'kinetic', 'part', 'of', 'the', 'hamiltonian', 'containing', 'the', 'spin', 'two', 'field', 'is', 'positively', 'defined', 'we', 'perform', 'oneloop', 'quantization', 'of', 'the', 'model', 'for', 'a', 'special', 'case', 'of', 'constant', 'riemann', 'curvature', 'spacetime', 'background', 'treating', 'the', 'torsion', 'as', 'a', 'quantum', 'field', 'variable', 'we', 'discuss', 'a', 'possible', 'mechanism', 'of', 'emergent', 'einstein', 'gravity', 'as', 'an', 'effective', 'theory', 'which', 'can', 'be', 'induced', 'due', 'to', 'quantum', 'dynamics', 'of', 'torsion']] | [-0.24985655251044878, 0.17550166389963506, -0.08081704870135964, 0.06533922782507848, -0.14350207175563187, -0.17226614899041842, -0.0739613679033937, 0.263171049190293, -0.21891785884202508, -0.26628655823878944, 0.01809574545309021, -0.24626400780796662, -0.17978121640810155, 0.11583801983445148, -0.041281959182876894, -0.00995105894674596, -0.0547883165847069, 0.11805915229917063, -0.08846861373144509, -0.2537913031655511, 0.38057067617467655, 0.03460106650355125, 0.228290312246444, 0.03851327425677722, 0.1653321814037075, -0.011290978949737587, 0.018676451585059494, 0.08040104869838902, -0.10519025030311911, 0.06831452273304182, 0.17681304222634553, 0.02911893513029147, 0.17001400484495158, -0.403226939913829, -0.28575414557647155, 0.08483757501419045, 0.08908003969975796, 0.1782273419935097, -0.04394241028211055, -0.28447912794868707, 0.04067499538895821, -0.18799399808631279, -0.15973704837807945, -0.08891517469371472, -0.005352099716363132, -0.10122011644814752, -0.2217169418367312, 0.07182367555977084, 0.06546548230012138, 0.04366102340128763, -0.06824800350985147, -0.06482183384267907, -0.08144904988952667, 0.04704296731353296, 0.1553691199109093, 0.09732476603025325, 0.11606552383225215, -0.1884850997992448, -0.13077078373967915, 0.42113139340041306, -0.1526909270825471, -0.278790909337419, 0.13721522053942622, -0.10791644246790766, -0.11528895056108013, 0.1125550898271429, 0.12376523919795689, 0.16027957907154863, -0.11812503204533928, 0.22373863859760795, -0.026620432789633542, 0.12866955793671017, 0.07086283866757233, 0.05821065509716343, 0.26259732912800055, 0.08110295663860406, 0.04751236254263571, 0.14300854798133705, -0.06366142093381648, -0.14624774573550034, -0.39639572123996913, -0.19862246796286567, -0.16192439001506978, 0.13476639574908308, -0.1589579767588523, -0.18657083273865283, 0.4255269055230249, 0.11857430453298883, 0.1079146283359777, 0.026852157519131555, 0.23143731084603228, 0.10590364559529437, 0.08213188730970662, 0.028141927510181342, 0.27468046938730895, 0.21911938854885338, 0.03463750753374035, -0.26583496209748675, -0.09592008800552178, 0.14571912220258368] |
709.211 | The climate version of the Eta regional forecast model. 1. Evaluation of
consistency between the Eta model and HadAM3P global model | The regional climate model prepared from Eta WS forecast model has been
integrated over South America with the horizontal resolution of 40 km for the
period of 1960-1990. The model was forced at its lateral boundaries by the
outputs of HadAM3P. The data of HadAM3P represent simulation of modern climate
with the resolution about 150 km. In order to prepare climate regional model
from the Eta forecast model multiple modifications and corrections were made in
the original model. The run of climate Eta model was made on the supercomputer
SX-6. The detailed analysis of the results of dynamical downscaling experiment
includes an investigation of a consistency between the regional and AGCM models
as well as of ability of the regional model to resolve important features of
climate fields on the finer scale than that resolved by AGCM. In this work the
results of the investigation of a consistency between the output fields of the
Eta model and HadAM3P are presented. The geopotential, temperature and wind
fields of both models were analysed. For the evaluation of the likeness of
these two models outputs,there were used Fourier analysis of time series,
consistency index, constituted from linear regression coefficients, time mean
and space mean models' arithmetic difference and root mean square difference,
dispersion analysis,and some others characteristics. This investigation
demonstrates that there are not significant differences in behaviour and
spatial arragement of large-scale structures of the two models. Also, the
regional model characteristics do not have considerable positive or negative
trend during integration time in relation to the global model characteristics.
From the total analysis we can affirm that in the description of large-scale
climate structures these two models are in consistency.
| physics.ao-ph | the regional climate model prepared from eta ws forecast model has been integrated over south america with the horizontal resolution of 40 km for the period of 19601990 the model was forced at its lateral boundaries by the outputs of hadam3p the data of hadam3p represent simulation of modern climate with the resolution about 150 km in order to prepare climate regional model from the eta forecast model multiple modifications and corrections were made in the original model the run of climate eta model was made on the supercomputer sx6 the detailed analysis of the results of dynamical downscaling experiment includes an investigation of a consistency between the regional and agcm models as well as of ability of the regional model to resolve important features of climate fields on the finer scale than that resolved by agcm in this work the results of the investigation of a consistency between the output fields of the eta model and hadam3p are presented the geopotential temperature and wind fields of both models were analysed for the evaluation of the likeness of these two models outputsthere were used fourier analysis of time series consistency index constituted from linear regression coefficients time mean and space mean models arithmetic difference and root mean square difference dispersion analysisand some others characteristics this investigation demonstrates that there are not significant differences in behaviour and spatial arragement of largescale structures of the two models also the regional model characteristics do not have considerable positive or negative trend during integration time in relation to the global model characteristics from the total analysis we can affirm that in the description of largescale climate structures these two models are in consistency | [['the', 'regional', 'climate', 'model', 'prepared', 'from', 'eta', 'ws', 'forecast', 'model', 'has', 'been', 'integrated', 'over', 'south', 'america', 'with', 'the', 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709.2111 | The Search for Extra Neutral Currents at the LHC: QCD and Anomalous
Gauge Interactions | Extensions of the Standard Model with extra neutral currents due to
additional anomalous abelian gauge factors are considered. We summarize the
main features of the effective action associated to these theories. They are
characterized by an axion-like particle (the {\em axi-higgs}) which can be
(almost) massless, with its mass generated non-perturbatively in the QCD vacuum
as for an ordinary Peccei-Quinn axion, but that can also mix with the scalars
of the Higgs sector, becoming a heavy axion. We briefly describe the interplay
between the electroweak and the QCD sectors in these types of theories, which
emerge either from special vacua of string/brane theory; from partial
decoupling of a heavier fermion sector or from an anomaly inflow in the context
of models with extra dimensions.
| hep-ph | extensions of the standard model with extra neutral currents due to additional anomalous abelian gauge factors are considered we summarize the main features of the effective action associated to these theories they are characterized by an axionlike particle the em axihiggs which can be almost massless with its mass generated nonperturbatively in the qcd vacuum as for an ordinary pecceiquinn axion but that can also mix with the scalars of the higgs sector becoming a heavy axion we briefly describe the interplay between the electroweak and the qcd sectors in these types of theories which emerge either from special vacua of stringbrane theory from partial decoupling of a heavier fermion sector or from an anomaly inflow in the context of models with extra dimensions | [['extensions', 'of', 'the', 'standard', 'model', 'with', 'extra', 'neutral', 'currents', 'due', 'to', 'additional', 'anomalous', 'abelian', 'gauge', 'factors', 'are', 'considered', 'we', 'summarize', 'the', 'main', 'features', 'of', 'the', 'effective', 'action', 'associated', 'to', 'these', 'theories', 'they', 'are', 'characterized', 'by', 'an', 'axionlike', 'particle', 'the', 'em', 'axihiggs', 'which', 'can', 'be', 'almost', 'massless', 'with', 'its', 'mass', 'generated', 'nonperturbatively', 'in', 'the', 'qcd', 'vacuum', 'as', 'for', 'an', 'ordinary', 'pecceiquinn', 'axion', 'but', 'that', 'can', 'also', 'mix', 'with', 'the', 'scalars', 'of', 'the', 'higgs', 'sector', 'becoming', 'a', 'heavy', 'axion', 'we', 'briefly', 'describe', 'the', 'interplay', 'between', 'the', 'electroweak', 'and', 'the', 'qcd', 'sectors', 'in', 'these', 'types', 'of', 'theories', 'which', 'emerge', 'either', 'from', 'special', 'vacua', 'of', 'stringbrane', 'theory', 'from', 'partial', 'decoupling', 'of', 'a', 'heavier', 'fermion', 'sector', 'or', 'from', 'an', 'anomaly', 'inflow', 'in', 'the', 'context', 'of', 'models', 'with', 'extra', 'dimensions']] | [-0.11981346481291938, 0.3012288940028098, -0.05066090232961165, 0.1321341163899389, -0.07091362289370849, -0.1495288437074651, -0.009232394379420927, 0.31156382984631964, -0.23241398422302859, -0.30901031656896755, 0.08798662692612608, -0.27270049141577235, -0.10265280066936787, 0.10394470114354795, 0.008213453400399416, 0.0019202140557031417, -0.02778324925982874, 0.06962466117505345, -0.05505371693946091, -0.2503120978494295, 0.3608942438037165, 0.0035052620331689176, 0.18375658164469286, 0.06239868412094732, 0.08135594984877013, -0.03889468480877939, -0.030458102314432543, -0.01882123090927639, -0.055708980678138044, 0.12253466832466543, 0.1662584025681363, 0.056946102225582204, 0.11513160777488543, -0.4237202842111489, -0.21643377283978607, 0.1493711678063377, 0.16112393160132812, 0.13774524172655336, -0.06924209030600445, -0.33659530101313945, 0.06814724881382238, -0.20858975579105918, -0.14880119388145696, -0.08728415092393275, -0.07751031771899321, -0.08175200142056471, -0.2966882448658467, 0.05983245652028164, -0.01777093967933568, 0.015218440247061212, -0.04262283062675006, -0.12938742319707788, -0.06389058564814003, 0.044376231014593356, 0.22165089513592032, 0.01041721646118188, 0.13369910183527897, -0.26733940955807245, -0.16546599583084426, 0.43580769369709155, -0.11584688595030457, -0.19115116537150537, 0.1991509417270971, -0.1098032936100818, -0.1387312431076181, 0.11032849263058105, 0.14499660820565036, 0.08960145368285838, -0.13944889783799166, 0.1906499845091246, -0.04962585436090106, 0.15197076281202176, 0.057439166708894436, 0.07939311835329019, 0.31566053231607283, 0.10372219798755983, 0.022550115113957755, 0.08078988646664056, 0.02408398157539552, -0.12729724001650128, -0.4216662006332509, -0.13231730647760653, -0.05768051045203221, 0.07944281180126352, -0.09910490323947611, -0.15857158229881596, 0.37021200687834815, 0.14723825223383405, 0.18354345342114328, -0.024815144590027028, 0.263380034190167, 0.1125727942759817, 0.11582809086183025, 0.03304220251870462, 0.2676835812876121, 0.1277574880091819, 0.08432616532269505, -0.22959961130794498, -0.07778095964327335, 0.1217590132502899] |
709.2112 | D-term inflation after spontaneous symmetry breaking | We show that 1-loop quantum corrections to the potential energy density in
supersymmetric hybrid inflation, outside the inflationary valley, can not be
neglected. A method is presented to calculate these 1-loop corrections and they
are applied to the case of D-term hybrid inflation, where a significant amount
of inflation is shown to occur after spontaneous symmetry breaking. Taking this
into account improves the agreement with WMAP measurements. A gauge coupling of
up to 0.3 is still consistent with the CMB density perturbation. The spectral
index is predicted in between 0.98 and 1.00 and the cosmic string contribution
to the CMB anisotropy is sufficiently reduced.
| hep-ph | we show that 1loop quantum corrections to the potential energy density in supersymmetric hybrid inflation outside the inflationary valley can not be neglected a method is presented to calculate these 1loop corrections and they are applied to the case of dterm hybrid inflation where a significant amount of inflation is shown to occur after spontaneous symmetry breaking taking this into account improves the agreement with wmap measurements a gauge coupling of up to 03 is still consistent with the cmb density perturbation the spectral index is predicted in between 098 and 100 and the cosmic string contribution to the cmb anisotropy is sufficiently reduced | [['we', 'show', 'that', '1loop', 'quantum', 'corrections', 'to', 'the', 'potential', 'energy', 'density', 'in', 'supersymmetric', 'hybrid', 'inflation', 'outside', 'the', 'inflationary', 'valley', 'can', 'not', 'be', 'neglected', 'a', 'method', 'is', 'presented', 'to', 'calculate', 'these', '1loop', 'corrections', 'and', 'they', 'are', 'applied', 'to', 'the', 'case', 'of', 'dterm', 'hybrid', 'inflation', 'where', 'a', 'significant', 'amount', 'of', 'inflation', 'is', 'shown', 'to', 'occur', 'after', 'spontaneous', 'symmetry', 'breaking', 'taking', 'this', 'into', 'account', 'improves', 'the', 'agreement', 'with', 'wmap', 'measurements', 'a', 'gauge', 'coupling', 'of', 'up', 'to', '03', 'is', 'still', 'consistent', 'with', 'the', 'cmb', 'density', 'perturbation', 'the', 'spectral', 'index', 'is', 'predicted', 'in', 'between', '098', 'and', '100', 'and', 'the', 'cosmic', 'string', 'contribution', 'to', 'the', 'cmb', 'anisotropy', 'is', 'sufficiently', 'reduced']] | [-0.12569994378114083, 0.21386468594069952, -0.08629873059264635, 0.13917013301005893, -0.05437708136965879, -0.11097548604280186, -0.011564439079777982, 0.3417988882865757, -0.22382836097564834, -0.32488084523580396, 0.04050302951005646, -0.3034792040259792, -0.07711116157812424, 0.1491028227946327, -0.025080972395908948, 0.025777676294987593, 0.012356930663092779, -0.009122277341353206, -0.04866193563010221, -0.26585745111179465, 0.23488640864021504, 0.10621563041058835, 0.26164900604635477, 0.10605779450046472, 0.04444016435613426, -0.0854507896292489, -0.001307487051235512, 0.00967127548602338, -0.12861999282603603, 0.07827481883633972, 0.19942943633157903, 0.048126801794681415, 0.16202832642011344, -0.3948430740005838, -0.23627640685747162, 0.15475821800422496, 0.13971811108058318, 0.18080887611274823, -0.04333809739014564, -0.2548621128058025, 0.10964914459663515, -0.19014628384208593, -0.085556069748306, -0.08810104239875308, -0.024712780145749163, -0.10731019100281768, -0.32325753451060824, 0.12035192509826559, -0.02728952784449435, -0.03107212263589295, -0.03173812830265468, -0.07013773753155525, -0.09368081121983078, 0.03808604872812374, 0.1294265569863805, 0.08816634349596615, 0.14019119529425203, -0.13363320696337794, -0.05588775891094254, 0.43253605730401784, -0.14485801027442974, -0.12861213236241242, 0.07431737126227325, -0.185256727948749, -0.1613266870710784, 0.14281288520074809, 0.10460369899877921, 0.04158366419869708, -0.10345420688211632, 0.17368686517371457, 0.10671007761042207, 0.19884315215984735, 0.075547756434669, 0.017298676113219138, 0.28166752533378225, 0.10655800183527529, 0.04807763065372665, 0.11083804950221048, -0.06806643879435097, -0.10081482332316227, -0.38060674648015547, -0.04802018485945435, -0.18608789740560147, 0.07635251115439481, -0.12271857122365103, -0.14029415419337546, 0.4101303132215085, 0.1677429131276977, 0.20992983291104722, 0.05479007402363305, 0.29164149973075837, 0.13755412735414352, 0.10292351942581053, 0.025181273578290038, 0.3461275800274542, 0.1416492727025448, 0.08642731180701119, -0.2557930595626553, -0.03698596939928113, 0.01872170906370649] |
709.2113 | Combination of quasiconvex subgroups of relatively hyperbolic groups | For relatively hyperbolic groups, we investigate conditions guaranteeing that
the subgroup generated by two quasiconvex subgroups $Q$ and $R$ is quasiconvex
and isomorphic to $Q \ast_{Q\cap R} R$. Our results generalized known
combination theorems for quasiconvex subgroups of word-hyperbolic groups. Some
applications are presented.
| math.GR | for relatively hyperbolic groups we investigate conditions guaranteeing that the subgroup generated by two quasiconvex subgroups q and r is quasiconvex and isomorphic to q ast_qcap r r our results generalized known combination theorems for quasiconvex subgroups of wordhyperbolic groups some applications are presented | [['for', 'relatively', 'hyperbolic', 'groups', 'we', 'investigate', 'conditions', 'guaranteeing', 'that', 'the', 'subgroup', 'generated', 'by', 'two', 'quasiconvex', 'subgroups', 'q', 'and', 'r', 'is', 'quasiconvex', 'and', 'isomorphic', 'to', 'q', 'ast_qcap', 'r', 'r', 'our', 'results', 'generalized', 'known', 'combination', 'theorems', 'for', 'quasiconvex', 'subgroups', 'of', 'wordhyperbolic', 'groups', 'some', 'applications', 'are', 'presented']] | [-0.20098758338501158, 0.09115940370315383, -0.05216366944964542, 0.09377624628236951, -0.10148409874784912, -0.1914301881739913, 0.004372222262413003, 0.4408560305140739, -0.3659323381996432, -0.19938554198935973, 0.16692205014920167, -0.2676771482192846, -0.069344253972346, 0.2846016456091473, -0.1942992611939824, -0.024572730345954728, 0.07666557678562957, 0.05410746731903664, -0.04482651570660257, -0.31478421987835753, 0.34269393820228966, -0.14099684754267422, 0.19869494702407095, 0.048440024711538195, 0.025875445054627435, 0.027049865519497975, -0.05885180778974711, 0.013830858391038207, -0.2047306260070019, 0.10921673279602168, 0.33299835866620375, 0.057984363114417986, 0.2760315262143998, -0.27845597256321547, -0.15736577703162682, 0.19436536188139905, 0.12978941432016275, -0.11263305018114489, -0.14624806082006112, -0.278947516192877, 0.17570556531292061, -0.17498648056197305, -0.17037313484565117, -0.11665013978301092, 0.1285531900844775, 0.04658781823723815, -0.2915499694645405, 0.03795339996644924, 0.11380613023458525, 0.09286599543465432, -0.04704643818441519, -0.13537957725050145, -0.07435726981371814, 0.09148884022088591, 0.06689272709948899, 0.0017937171316250813, 0.11064196086683592, -0.011951243396588537, -0.07795490948266762, 0.45532446883099026, -0.006461521350713663, -0.2110752846265948, 0.21157948378213617, -0.18064817559883692, -0.24331938758015978, 0.08928942383635183, 0.09970893115238395, 0.17494387801216785, -0.03362541528808516, 0.24185554429531358, -0.1223288586709735, 0.06300007085164272, 0.08308856129689618, -0.006142989569885093, 0.029545522879722508, -0.006252014727959799, 0.08115513831766885, 0.14942908638460173, 0.1607010567040984, 0.12129087309721251, -0.38731254238721935, -0.10695685294651708, -0.11753651586382888, 0.03740270134754652, -0.12070280857056617, -0.1422786276116101, 0.3938163078368403, -0.0016133612411659817, 0.0150439397886742, 0.18260430338857478, 0.16973430425101935, 0.03519621460974693, 0.020724006776892862, 0.15587010171784219, 0.066388104363415, 0.27069459561540116, -0.18429506084946698, -0.11663211935178139, -0.06537143209256059, 0.1916747409200599] |
709.2114 | Bell's theorem as a signature of nonlocality: a classical counterexample | For a system composed of two particles Bell's theorem asserts that averages
of physical quantities determined from local variables must conform to a family
of inequalities. In this work we show that a classical model containing a local
probabilistic interaction in the measurement process can lead to a violation of
the Bell inequalities. We first introduce two-particle phase-space
distributions in classical mechanics constructed to be the analogs of quantum
mechanical angular momentum eigenstates. These distributions are then employed
in four schemes characterized by different types of detectors measuring the
angular momenta. When the model includes an interaction between the detector
and the measured particle leading to ensemble dependencies, the relevant Bell
inequalities are violated if total angular momentum is required to be
conserved. The violation is explained by identifying assumptions made in the
derivation of Bell's theorem that are not fulfilled by the model. These
assumptions will be argued to be too restrictive to see in the violation of the
Bell inequalities a faithful signature of nonlocality.
| quant-ph | for a system composed of two particles bells theorem asserts that averages of physical quantities determined from local variables must conform to a family of inequalities in this work we show that a classical model containing a local probabilistic interaction in the measurement process can lead to a violation of the bell inequalities we first introduce twoparticle phasespace distributions in classical mechanics constructed to be the analogs of quantum mechanical angular momentum eigenstates these distributions are then employed in four schemes characterized by different types of detectors measuring the angular momenta when the model includes an interaction between the detector and the measured particle leading to ensemble dependencies the relevant bell inequalities are violated if total angular momentum is required to be conserved the violation is explained by identifying assumptions made in the derivation of bells theorem that are not fulfilled by the model these assumptions will be argued to be too restrictive to see in the violation of the bell inequalities a faithful signature of nonlocality | [['for', 'a', 'system', 'composed', 'of', 'two', 'particles', 'bells', 'theorem', 'asserts', 'that', 'averages', 'of', 'physical', 'quantities', 'determined', 'from', 'local', 'variables', 'must', 'conform', 'to', 'a', 'family', 'of', 'inequalities', 'in', 'this', 'work', 'we', 'show', 'that', 'a', 'classical', 'model', 'containing', 'a', 'local', 'probabilistic', 'interaction', 'in', 'the', 'measurement', 'process', 'can', 'lead', 'to', 'a', 'violation', 'of', 'the', 'bell', 'inequalities', 'we', 'first', 'introduce', 'twoparticle', 'phasespace', 'distributions', 'in', 'classical', 'mechanics', 'constructed', 'to', 'be', 'the', 'analogs', 'of', 'quantum', 'mechanical', 'angular', 'momentum', 'eigenstates', 'these', 'distributions', 'are', 'then', 'employed', 'in', 'four', 'schemes', 'characterized', 'by', 'different', 'types', 'of', 'detectors', 'measuring', 'the', 'angular', 'momenta', 'when', 'the', 'model', 'includes', 'an', 'interaction', 'between', 'the', 'detector', 'and', 'the', 'measured', 'particle', 'leading', 'to', 'ensemble', 'dependencies', 'the', 'relevant', 'bell', 'inequalities', 'are', 'violated', 'if', 'total', 'angular', 'momentum', 'is', 'required', 'to', 'be', 'conserved', 'the', 'violation', 'is', 'explained', 'by', 'identifying', 'assumptions', 'made', 'in', 'the', 'derivation', 'of', 'bells', 'theorem', 'that', 'are', 'not', 'fulfilled', 'by', 'the', 'model', 'these', 'assumptions', 'will', 'be', 'argued', 'to', 'be', 'too', 'restrictive', 'to', 'see', 'in', 'the', 'violation', 'of', 'the', 'bell', 'inequalities', 'a', 'faithful', 'signature', 'of', 'nonlocality']] | [-0.12218697882720275, 0.16437385131789353, -0.12741195213629636, 0.11883619968041725, -0.030353874492341885, -0.16871448910187284, 0.006357607066430553, 0.2831023441415704, -0.25775838243531257, -0.3242690749299116, 0.02189993823970484, -0.2704716466456473, -0.06732596891017598, 0.1921579120576125, -0.06184907555914746, 0.07433123166901534, 0.05293818545377183, 0.0003702679515152634, -0.0914211519561641, -0.221285341515256, 0.32145595782810077, 0.01500441900992621, 0.24682759529838483, 0.035222329486518385, 0.09716050433340723, 0.014118532866273008, -0.037630947897891086, 0.04686383843982403, -0.11503023497022592, 0.09728222262828115, 0.22527861229107787, 0.1553698731642105, 0.22147211849181997, -0.4191518819996875, -0.15940623398602544, 0.16430519539082122, 0.09714109143019169, 0.1078699669217925, 0.01556994525916473, -0.3205940945765483, 0.010148469026167013, -0.16214618985095022, -0.17130265987065516, -0.10563773435992217, 0.009202971524687227, 0.0160318074084283, -0.29031790663839546, 0.15342565008556236, 0.09126496289070406, 0.03274289553310209, -0.0010823237007026544, -0.061560527958996414, -0.005686532404876041, 0.054943084512721514, 0.0342522086134713, -0.04115976032405021, 0.13951560774048466, -0.09102725634535407, -0.1515609898721565, 0.363736747575486, -0.0019036535728544353, -0.28809444144320073, 0.14433772450948726, -0.18351041354673975, -0.1585509467027903, 0.08347902132733585, 0.12025306877418014, 0.09068271680281938, -0.20828918016609432, 0.04324356888171319, -0.059800088631468795, 0.15230331759520632, 0.08937503552499289, 0.11421793175883546, 0.20773785925487023, 0.06742224659182376, 0.03289630107336237, 0.11876621806135255, -0.04411722038186596, -0.12918778958390215, -0.38328190704439574, -0.17751581698076097, -0.2513906523518398, 0.09484666534763982, -0.06528354760022029, -0.08789228176709242, 0.344551038287, 0.13604351493577377, 0.172626997979949, 0.013324730363144667, 0.2265347530096379, 0.11735959528125599, 0.10532174020459106, 0.043013065116491146, 0.3124104758914878, 0.16876670072262293, 0.07824823250826783, -0.1798186070110766, 0.08952247453741953, 0.06359648076583169] |
709.2115 | NNLO Logarithmic Expansions and High Precision Determinations of the QCD
background at the LHC: The case of the Z resonance | New methods of solutions of the DGLAP equation and their implementation
through NNLO in QCD are briefly reviewed. We organize the perturbative
expansion that describes in $x$-space the evolved parton distributions in terms
of scale invariant functions, which are determined recursively, and logarithms
of the ratio of the running couplings at the initial and final evolution
scales. Resummed solutions are constructed within the same approach and involve
logarithms of more complex functions, which are given in the non-singlet case.
Differences in the evolution schemes are shown to be numerically sizeable and
intrinsic to perturbation theory. We illustrate these points in the case of
Drell-Yan lepton pair production near the Z resonance, analysis that can be
extended to searches of extra $Z^{\prime}$. We show that the reduction of the
NNLO cross section compared to the NLO prediction may be attributed to the NNLO
evolution.
| hep-ph | new methods of solutions of the dglap equation and their implementation through nnlo in qcd are briefly reviewed we organize the perturbative expansion that describes in xspace the evolved parton distributions in terms of scale invariant functions which are determined recursively and logarithms of the ratio of the running couplings at the initial and final evolution scales resummed solutions are constructed within the same approach and involve logarithms of more complex functions which are given in the nonsinglet case differences in the evolution schemes are shown to be numerically sizeable and intrinsic to perturbation theory we illustrate these points in the case of drellyan lepton pair production near the z resonance analysis that can be extended to searches of extra zprime we show that the reduction of the nnlo cross section compared to the nlo prediction may be attributed to the nnlo evolution | [['new', 'methods', 'of', 'solutions', 'of', 'the', 'dglap', 'equation', 'and', 'their', 'implementation', 'through', 'nnlo', 'in', 'qcd', 'are', 'briefly', 'reviewed', 'we', 'organize', 'the', 'perturbative', 'expansion', 'that', 'describes', 'in', 'xspace', 'the', 'evolved', 'parton', 'distributions', 'in', 'terms', 'of', 'scale', 'invariant', 'functions', 'which', 'are', 'determined', 'recursively', 'and', 'logarithms', 'of', 'the', 'ratio', 'of', 'the', 'running', 'couplings', 'at', 'the', 'initial', 'and', 'final', 'evolution', 'scales', 'resummed', 'solutions', 'are', 'constructed', 'within', 'the', 'same', 'approach', 'and', 'involve', 'logarithms', 'of', 'more', 'complex', 'functions', 'which', 'are', 'given', 'in', 'the', 'nonsinglet', 'case', 'differences', 'in', 'the', 'evolution', 'schemes', 'are', 'shown', 'to', 'be', 'numerically', 'sizeable', 'and', 'intrinsic', 'to', 'perturbation', 'theory', 'we', 'illustrate', 'these', 'points', 'in', 'the', 'case', 'of', 'drellyan', 'lepton', 'pair', 'production', 'near', 'the', 'z', 'resonance', 'analysis', 'that', 'can', 'be', 'extended', 'to', 'searches', 'of', 'extra', 'zprime', 'we', 'show', 'that', 'the', 'reduction', 'of', 'the', 'nnlo', 'cross', 'section', 'compared', 'to', 'the', 'nlo', 'prediction', 'may', 'be', 'attributed', 'to', 'the', 'nnlo', 'evolution']] | [-0.10697190765408682, 0.13593857306856794, -0.13199519468113208, 0.15426204449633932, -0.024586512109629446, -0.0513030993336994, -0.023127764184190727, 0.35600384632190624, -0.22634268894635298, -0.25260585751645004, 0.05066834762529633, -0.30020694218419647, -0.07034702746318067, 0.12820885704270193, 0.05276000810220473, 0.1038529822803135, 0.07133411543307032, -0.032961699437558445, -0.08851758637009645, -0.2974794262212577, 0.35273321035116184, 0.026626500157782666, 0.20643884456762068, 0.11888290659224914, 0.054992986939867004, -0.006493208996651994, -0.10067178048250441, -0.04090340032365981, -0.1015659069757517, 0.09209525936862806, 0.27726667414425865, 0.05866113203493031, 0.13778914724170535, -0.37499522005201325, -0.1032672467140051, 0.07049683644273481, 0.20970946593027745, 0.13286064883654977, 0.0056048298943128395, -0.2686961730583929, 0.12373266904777684, -0.2298028743345538, -0.14980118134273931, -0.14456605609714776, -0.04672786783934994, 0.02100355757752082, -0.3078054146307123, 0.0776956393546262, -0.043031082902155765, -0.028258433904160152, -0.018446479446150466, -0.17101055567667306, -0.07806841653960568, 0.06371639164203739, 0.12855974675345044, 0.04419791093096137, 0.13362802773180021, -0.19317773654259143, -0.17974728921923291, 0.3953567875966013, -0.07042679576841476, -0.2123427281172057, 0.12499226488733103, -0.21696930712779294, -0.15782104402461408, 0.14202624387954446, 0.23437013880225954, 0.1312068666891566, -0.16224838110416398, 0.1495448481075798, 0.043233032361115815, 0.1435562751794859, 0.08810928110782239, 0.0393239274796854, 0.1462052013217048, 0.14601096361908097, -0.015576053749431263, 0.06057179663607108, -0.0183204981478882, -0.15749822140156805, -0.40903031026254166, -0.08787292911478976, -0.08961140201182814, 0.03935356334688702, -0.12347113235861347, -0.1449464409051616, 0.37997721896304953, 0.15753930193205995, 0.24524029867293742, 0.04127032453213799, 0.28247098561207, 0.18196324599659316, 0.1037173992775094, 0.08042476045202229, 0.2726206481847521, 0.12951773806260183, 0.08733584451443561, -0.23447280230002243, 0.043008783968960074, 0.09108800574863603] |
709.2116 | Constructing non-equilibrium statistical ensemble formalism based on
Subdynamics | In this work, we present a general non-equilibrium ensemble formalism based
on the subdynamic equation (SKE). The constructing procedure is to use a
similarity transformation between Gibbsian ensemble formalism and the
non-equilibrium ensemble formalism. The obtained density distribution is a
projected one that can represent essence part of (irreversible) evolution of
the density distribution, by which a generalized reduced density distribution
for the quantum canonical ensembles is studied and applications in Cayley tree
and spin network are discussed.
| quant-ph | in this work we present a general nonequilibrium ensemble formalism based on the subdynamic equation ske the constructing procedure is to use a similarity transformation between gibbsian ensemble formalism and the nonequilibrium ensemble formalism the obtained density distribution is a projected one that can represent essence part of irreversible evolution of the density distribution by which a generalized reduced density distribution for the quantum canonical ensembles is studied and applications in cayley tree and spin network are discussed | [['in', 'this', 'work', 'we', 'present', 'a', 'general', 'nonequilibrium', 'ensemble', 'formalism', 'based', 'on', 'the', 'subdynamic', 'equation', 'ske', 'the', 'constructing', 'procedure', 'is', 'to', 'use', 'a', 'similarity', 'transformation', 'between', 'gibbsian', 'ensemble', 'formalism', 'and', 'the', 'nonequilibrium', 'ensemble', 'formalism', 'the', 'obtained', 'density', 'distribution', 'is', 'a', 'projected', 'one', 'that', 'can', 'represent', 'essence', 'part', 'of', 'irreversible', 'evolution', 'of', 'the', 'density', 'distribution', 'by', 'which', 'a', 'generalized', 'reduced', 'density', 'distribution', 'for', 'the', 'quantum', 'canonical', 'ensembles', 'is', 'studied', 'and', 'applications', 'in', 'cayley', 'tree', 'and', 'spin', 'network', 'are', 'discussed']] | [-0.08380193763579695, 0.151654943680534, -0.16115573983496198, 0.09496220397219683, 0.0008778557754479921, -0.077981359205949, 0.021325685137596268, 0.35510256475745106, -0.2316324717592066, -0.2750399284637891, 0.017321265407073766, -0.23332474070290724, -0.18719870049673587, 0.1200978938394632, 0.008695957095672687, 0.08276257157558575, 0.05536953470884608, 0.02718125807885558, -0.13685538814677736, -0.1867983415364646, 0.3343665974262433, 0.056573808775283396, 0.3454463368174262, -0.015542330420337236, 0.12390498869503155, 0.06202086467200365, -0.0016105016633772696, 0.0337664254863436, -0.1144858558028108, 0.1456339569726529, 0.22507783264303818, 0.1441775661570808, 0.24139604297203895, -0.3789533914711613, -0.268260013897163, 0.08942893197616705, 0.102289105574481, 0.1518234266848781, -0.01890413141481053, -0.25151142432617074, 0.01667649062773517, -0.2032586560996536, -0.16503417333707404, -0.09100902935442252, 0.019177499179465648, 0.014738203784546409, -0.234631372257494, 0.11955025479008514, 0.06286396650979534, 0.0006564878619825229, 0.00023996410294412039, -0.10033494133639555, -0.007692170669682897, 0.07725578396676634, -0.07697319117291138, 0.03081960393450199, 0.1817974702646144, -0.0703056931334476, -0.07272249093661323, 0.3536926600604485, -0.08127881500583428, -0.2215836669306438, 0.11409647368455832, -0.07734344501640851, -0.18321898069161063, 0.06473542948086293, 0.13743632511259654, 0.13756656823441005, -0.22099700400558037, 0.09374793735705914, -0.033178734905026756, 0.11051505718690653, 0.04872222955469997, -0.02097646335292106, 0.21005845746885127, 0.15810910994425798, 0.0317180053724979, 0.16819851922516066, -0.059018924298027575, -0.21568991797558296, -0.29381429706103146, -0.15465182705254568, -0.26499594068632293, 0.08641560932693, -0.06845548771600125, -0.18234381617423004, 0.3939948934966173, 0.16704349019803488, 0.1845142805757813, 0.0746614297460884, 0.25202557969933903, 0.18102737828993645, 0.0049734809316503694, 0.06968137186665374, 0.14981660187148896, 0.22602545015382555, 0.05240376307390248, -0.23004446369118225, 0.046337806864474446, 0.11329487613282907] |
709.2117 | Manifolds of Hilbert space projections | The Hardy space H^2(R) for the upper half plane together with a unimodular
function group representation u(\lambda) = \exp(i(\lambda_1\psi_1 + ... +
\lambda_n\psi_n)) for \lambda in R^n, gives rise to a manifold M of orthogonal
projections for the subspaces u(\lambda)H^2(R) of L^2(R). For classes of
admissible functions \psi_i the strong operator topology closures of M and M
\cup M^\perp are determined explicitly as various n-balls and n-spheres. The
arguments used are direct and rely on the analysis of oscillatory integrals and
Hilbert space geometry. Some classes of these closed projection manifolds are
classified up to unitary equivalence. In particular the Fourier-Plancherel
2-sphere and the hyperbolic 3-sphere of Katavolos and Power appear as
distinguished special cases admitting nontrivial unitary automorphisms groups
which are explicitly described.
| math.FA math.DG | the hardy space h2r for the upper half plane together with a unimodular function group representation ulambda expilambda_1psi_1 lambda_npsi_n for lambda in rn gives rise to a manifold m of orthogonal projections for the subspaces ulambdah2r of l2r for classes of admissible functions psi_i the strong operator topology closures of m and m cup mperp are determined explicitly as various nballs and nspheres the arguments used are direct and rely on the analysis of oscillatory integrals and hilbert space geometry some classes of these closed projection manifolds are classified up to unitary equivalence in particular the fourierplancherel 2sphere and the hyperbolic 3sphere of katavolos and power appear as distinguished special cases admitting nontrivial unitary automorphisms groups which are explicitly described | [['the', 'hardy', 'space', 'h2r', 'for', 'the', 'upper', 'half', 'plane', 'together', 'with', 'a', 'unimodular', 'function', 'group', 'representation', 'ulambda', 'expilambda_1psi_1', 'lambda_npsi_n', 'for', 'lambda', 'in', 'rn', 'gives', 'rise', 'to', 'a', 'manifold', 'm', 'of', 'orthogonal', 'projections', 'for', 'the', 'subspaces', 'ulambdah2r', 'of', 'l2r', 'for', 'classes', 'of', 'admissible', 'functions', 'psi_i', 'the', 'strong', 'operator', 'topology', 'closures', 'of', 'm', 'and', 'm', 'cup', 'mperp', 'are', 'determined', 'explicitly', 'as', 'various', 'nballs', 'and', 'nspheres', 'the', 'arguments', 'used', 'are', 'direct', 'and', 'rely', 'on', 'the', 'analysis', 'of', 'oscillatory', 'integrals', 'and', 'hilbert', 'space', 'geometry', 'some', 'classes', 'of', 'these', 'closed', 'projection', 'manifolds', 'are', 'classified', 'up', 'to', 'unitary', 'equivalence', 'in', 'particular', 'the', 'fourierplancherel', '2sphere', 'and', 'the', 'hyperbolic', '3sphere', 'of', 'katavolos', 'and', 'power', 'appear', 'as', 'distinguished', 'special', 'cases', 'admitting', 'nontrivial', 'unitary', 'automorphisms', 'groups', 'which', 'are', 'explicitly', 'described']] | [-0.197890627519067, 0.10703532409087498, -0.03589387168176472, 0.08140621335920074, -0.10053314470107956, -0.1349142867076243, -0.01964213355075054, 0.3457379264692808, -0.2888429273915445, -0.21788874307069286, 0.12279744568112275, -0.2684424880767594, -0.13004961255074735, 0.21878382253886103, -0.0677873552375441, 0.030489192922310584, 0.04372153945813148, 0.07250532766418724, -0.15620042396516637, -0.25170359033729944, 0.4108684579038928, -0.06601274716025539, 0.19531551402479666, -0.011530575984767798, 0.12613977256917458, -0.0027947254852263323, -0.034405672585527444, -0.003139229757693854, -0.1602282318615772, 0.11055158124283229, 0.2907271318474849, 0.0770620650527517, 0.15823323917695611, -0.3766504006524538, -0.14836486257965967, 0.18717589589028522, 0.1447416749192755, -0.05869956330319963, 0.03047825542282602, -0.33940660341739143, 0.037748618201946776, -0.10922693127589621, -0.14790664903080925, -0.119681380512514, 0.07015219787617438, 0.029928327329328347, -0.24302862265452357, 0.015658401129446154, 0.1264430401718308, 0.0683300781265957, -0.086479163421057, -0.13320218145461946, -0.06903931283460256, 0.1430571474388828, -0.010169821835508377, 0.07320167496599707, 0.0962421701185341, -0.0377132418838426, -0.0968726195710117, 0.37500035612651245, -0.04866186887927048, -0.29506968248486, 0.13106655541422038, -0.16828973924516347, -0.15505167572951778, 0.12454775972733402, 0.13388058201987937, 0.13950390251481842, -0.02954842660607216, 0.21317878191803175, -0.11116544832575842, 0.025507821275948965, 0.12280823669299998, 0.04074610510423522, 0.11604340471214904, 0.020926910225735527, 0.1157489822854304, 0.09895445312790328, 0.02661775537690746, -0.08323465414537952, -0.3656001095098026, -0.17172215749300887, -0.13736820358839208, 0.10572177947374414, -0.1340097270500525, -0.19569836329098728, 0.37780155219410644, -0.040026900270183026, 0.20937172471694165, 0.08295900513245404, 0.17220162697425434, 0.08372583820590958, 0.051078435463092195, 0.07233096210783797, 0.1463572838163537, 0.20041797017269158, -0.03513909694096395, -0.14599905339880556, -0.06321037616751334, 0.2104501629505178] |
709.2118 | Quasi-semi-stable representations | Fix K a p-adic field and denote by G_K its absolute Galois group. Let K_infty
be the extension of K obtained by adding (p^n)-th roots of a fixed uniformizer,
and G_\infty its absolute Galois group. In this article, we define a class of
p-adic torsion representations of G_\infty, named quasi-semi-stable. We prove
that these representations are "explicitly" described by a certain category of
linear algebra objects. The results of this note should be consider as a first
step in the understanding of the structure of quotients of two lattices in a
crystalline (resp. semi-stable) Galois representation.
| math.NT | fix k a padic field and denote by g_k its absolute galois group let k_infty be the extension of k obtained by adding pnth roots of a fixed uniformizer and g_infty its absolute galois group in this article we define a class of padic torsion representations of g_infty named quasisemistable we prove that these representations are explicitly described by a certain category of linear algebra objects the results of this note should be consider as a first step in the understanding of the structure of quotients of two lattices in a crystalline resp semistable galois representation | [['fix', 'k', 'a', 'padic', 'field', 'and', 'denote', 'by', 'g_k', 'its', 'absolute', 'galois', 'group', 'let', 'k_infty', 'be', 'the', 'extension', 'of', 'k', 'obtained', 'by', 'adding', 'pnth', 'roots', 'of', 'a', 'fixed', 'uniformizer', 'and', 'g_infty', 'its', 'absolute', 'galois', 'group', 'in', 'this', 'article', 'we', 'define', 'a', 'class', 'of', 'padic', 'torsion', 'representations', 'of', 'g_infty', 'named', 'quasisemistable', 'we', 'prove', 'that', 'these', 'representations', 'are', 'explicitly', 'described', 'by', 'a', 'certain', 'category', 'of', 'linear', 'algebra', 'objects', 'the', 'results', 'of', 'this', 'note', 'should', 'be', 'consider', 'as', 'a', 'first', 'step', 'in', 'the', 'understanding', 'of', 'the', 'structure', 'of', 'quotients', 'of', 'two', 'lattices', 'in', 'a', 'crystalline', 'resp', 'semistable', 'galois', 'representation']] | [-0.2231894045185886, 0.11218509135375682, -0.15509096338217587, -0.0007193443634988446, -0.12771662126883473, -0.09012374212279131, 0.004519386118964145, 0.3128345008155233, -0.3914273253004802, -0.23806182962695235, 0.08049485892130945, -0.22654591290476292, -0.13100908686848065, 0.1569093216063553, -0.1417903081146314, -0.06166214255836645, 0.0028654790140296284, 0.19111737478034277, -0.09044224814707903, -0.28871453974984196, 0.3742595954602094, -0.055842646191778936, 0.15192446912099655, -0.008201248096424694, 0.12653055943450645, 0.009084815243994328, -0.018167294777537646, -0.014550476614385844, -0.1522950267043167, 0.1478206590786086, 0.3708437074907124, 0.026844983476851332, 0.2640642551496919, -0.3392270424942437, -0.12844349888006323, 0.2713242000655124, 0.14604660930896277, -0.027937194744223043, -0.0030129708913399986, -0.2921327586677906, 0.1560021745604708, -0.19247662831882112, -0.1383534491699385, -0.0875970434593527, 0.06182833865995666, 0.009530929000558037, -0.233335748156165, -0.037207022850940887, 0.10804661251359472, 0.2260628189009271, -0.09243587793929404, -0.1627505191503779, -0.02524614680656477, 0.047059638195328025, -0.02653606943418517, 0.06365196162736729, 0.0951789878161722, -0.13066027637963232, -0.11734620518063342, 0.4067906292645555, -0.10874261478648374, -0.16912801958816617, 0.04058478412855612, -0.1625865958189886, -0.15766706114487822, 0.09245958617263425, 0.09859574313128465, 0.16070155317061827, -0.014614223463975482, 0.22390641888586718, -0.1705291075877061, 0.07210209787038988, 0.08761416445731332, -0.019618046048440432, 0.16167219918417303, 0.07214599765445057, 0.030363321899264856, 0.13857900486082622, 0.038932690259657406, 0.04700154138630942, -0.3770545782006689, -0.21086856220897876, -0.13160086971658624, 0.11500742096257838, -0.10200359813936398, -0.12951989467010686, 0.4154807660826727, 0.1119877038131419, 0.19896263779190027, 0.1710015779116044, 0.17470003028988446, 0.08066114689051909, 0.07801345011317416, 0.03507611697411783, 0.0798613829979379, 0.2506649537379608, -0.09471945718518998, -0.15903878809492056, -0.03204006856356404, 0.21571330627132404] |
709.2119 | Coarsening in potential and nonpotential models of oblique stripe
patterns | We study the coarsening of two-dimensional oblique stripe patterns by
numerically solving potential and nonpotential anisotropic Swift-Hohenberg
equations. Close to onset, all models exhibit isotropic coarsening with a
single characteristic length scale growing in time as $t^{1/2}$. Further from
onset, the characteristic lengths along the preferred directions $\hat{x}$ and
$\hat{y}$ grow with different exponents, close to 1/3 and 1/2, respectively. In
this regime, one-dimensional dynamical scaling relations hold. We draw an
analogy between this problem and Model A in a stationary, modulated external
field. For deep quenches, nonpotential effects produce a complicated
dislocation dynamics that can lead to either arrested or faster-than-power-law
growth, depending on the model considered. In the arrested case, small isolated
domains shrink down to a finite size and fail to disappear. A comparison with
available experimental results of electroconvection in nematics is presented.
| cond-mat.soft cond-mat.stat-mech | we study the coarsening of twodimensional oblique stripe patterns by numerically solving potential and nonpotential anisotropic swifthohenberg equations close to onset all models exhibit isotropic coarsening with a single characteristic length scale growing in time as t12 further from onset the characteristic lengths along the preferred directions hatx and haty grow with different exponents close to 13 and 12 respectively in this regime onedimensional dynamical scaling relations hold we draw an analogy between this problem and model a in a stationary modulated external field for deep quenches nonpotential effects produce a complicated dislocation dynamics that can lead to either arrested or fasterthanpowerlaw growth depending on the model considered in the arrested case small isolated domains shrink down to a finite size and fail to disappear a comparison with available experimental results of electroconvection in nematics is presented | [['we', 'study', 'the', 'coarsening', 'of', 'twodimensional', 'oblique', 'stripe', 'patterns', 'by', 'numerically', 'solving', 'potential', 'and', 'nonpotential', 'anisotropic', 'swifthohenberg', 'equations', 'close', 'to', 'onset', 'all', 'models', 'exhibit', 'isotropic', 'coarsening', 'with', 'a', 'single', 'characteristic', 'length', 'scale', 'growing', 'in', 'time', 'as', 't12', 'further', 'from', 'onset', 'the', 'characteristic', 'lengths', 'along', 'the', 'preferred', 'directions', 'hatx', 'and', 'haty', 'grow', 'with', 'different', 'exponents', 'close', 'to', '13', 'and', '12', 'respectively', 'in', 'this', 'regime', 'onedimensional', 'dynamical', 'scaling', 'relations', 'hold', 'we', 'draw', 'an', 'analogy', 'between', 'this', 'problem', 'and', 'model', 'a', 'in', 'a', 'stationary', 'modulated', 'external', 'field', 'for', 'deep', 'quenches', 'nonpotential', 'effects', 'produce', 'a', 'complicated', 'dislocation', 'dynamics', 'that', 'can', 'lead', 'to', 'either', 'arrested', 'or', 'fasterthanpowerlaw', 'growth', 'depending', 'on', 'the', 'model', 'considered', 'in', 'the', 'arrested', 'case', 'small', 'isolated', 'domains', 'shrink', 'down', 'to', 'a', 'finite', 'size', 'and', 'fail', 'to', 'disappear', 'a', 'comparison', 'with', 'available', 'experimental', 'results', 'of', 'electroconvection', 'in', 'nematics', 'is', 'presented']] | [-0.1392546687857248, 0.21425912225961785, -0.0659574631786467, 0.07241925460146055, -0.0570679960450541, -0.17090707450937342, 0.005887573365779484, 0.37328532163754813, -0.3019704896176015, -0.25554937096175684, 0.08375491300060223, -0.260627613252248, -0.12435845318353078, 0.179722566573593, 0.034470665609286, 0.024918370952946134, 0.006639972851296668, -0.01848056136205902, -0.08867195067646474, -0.21507720328757868, 0.27973475098192196, 0.001825235604080851, 0.2994179852950551, -0.00015708612730069195, 0.040753682316897216, -0.016616525338630547, 0.04859121841368238, 0.0890883376414422, -0.20942854226134788, 0.00797321274106199, 0.2183966038491877, -0.031236817026236915, 0.22716782437911368, -0.4745461234192857, -0.21729751028504005, 0.09863267884836258, 0.1898670326319167, 0.14483979336835226, -0.03182067917548599, -0.2364387933698976, 0.08520774728051894, -0.12408156876507051, -0.1927810202297919, -0.044042859075810105, 0.03494242361065356, 0.04599888134544017, -0.2654030669158708, 0.1455997905907091, 0.08528639917730128, 0.07060206712305765, -0.1276488601887489, -0.048374707625685805, -0.028887670254334807, 0.10356830181177322, 0.07101910537526504, 0.07617346659090425, 0.11140344432308613, -0.13319407466470318, -0.10151777051128995, 0.3340632805655546, -0.052418041080647314, -0.18609632364035966, 0.21943920531510444, -0.1491626480505254, -0.08428214533898212, 0.1747285214078147, 0.20017472878145567, 0.0912442627356059, -0.05827364333056133, 0.03930178246767301, -0.00016771636985461502, 0.1687491893867178, 0.07436482025899321, -0.035757349016528356, 0.21971740355879507, 0.19681680984007577, 0.015658517419497538, 0.15353062098523984, -0.079164048011401, -0.1689815976389903, -0.27014490883961756, -0.0866210092756185, -0.13244126562580383, 0.06880039078361519, -0.12845597624971775, -0.2005252485122422, 0.3463941142202684, 0.15337517040932333, 0.24217288101585033, 0.04571491504697513, 0.21309138460577848, 0.08996637387334726, 0.057996212482548264, 0.08733678529354032, 0.21082599926055134, 0.11842323014742065, 0.1273021569581675, -0.23620492796865566, 0.03443080988740001, 0.031478591013343674] |
709.212 | Optimized stray-field-induced enhancement of the electron spin
precession by buried Fe gates | The magnetic stray field from Fe gates is used to modify the spin precession
frequency of InGaAs/GaAs quantum-well electrons in an external magnetic field.
By using an etching process to position the gates directly in the plane of the
quantum well, the stray-field influence on the spin precession increases
significantly compared with results from previous studies with top-gated
structures. In line with numerical simulations, the stray-field-induced
precession frequency increases as the gap between the ferromagnetic gates is
reduced. The inhomogeneous stray field leads to additional spin dephasing.
| cond-mat.mes-hall | the magnetic stray field from fe gates is used to modify the spin precession frequency of ingaasgaas quantumwell electrons in an external magnetic field by using an etching process to position the gates directly in the plane of the quantum well the strayfield influence on the spin precession increases significantly compared with results from previous studies with topgated structures in line with numerical simulations the strayfieldinduced precession frequency increases as the gap between the ferromagnetic gates is reduced the inhomogeneous stray field leads to additional spin dephasing | [['the', 'magnetic', 'stray', 'field', 'from', 'fe', 'gates', 'is', 'used', 'to', 'modify', 'the', 'spin', 'precession', 'frequency', 'of', 'ingaasgaas', 'quantumwell', 'electrons', 'in', 'an', 'external', 'magnetic', 'field', 'by', 'using', 'an', 'etching', 'process', 'to', 'position', 'the', 'gates', 'directly', 'in', 'the', 'plane', 'of', 'the', 'quantum', 'well', 'the', 'strayfield', 'influence', 'on', 'the', 'spin', 'precession', 'increases', 'significantly', 'compared', 'with', 'results', 'from', 'previous', 'studies', 'with', 'topgated', 'structures', 'in', 'line', 'with', 'numerical', 'simulations', 'the', 'strayfieldinduced', 'precession', 'frequency', 'increases', 'as', 'the', 'gap', 'between', 'the', 'ferromagnetic', 'gates', 'is', 'reduced', 'the', 'inhomogeneous', 'stray', 'field', 'leads', 'to', 'additional', 'spin', 'dephasing']] | [-0.1496695546801527, 0.20471643657473643, 0.026409972025904546, -0.023400749690957783, -0.0390387344563943, -0.11019373248699446, 0.026877727953792917, 0.44202324821678707, -0.2611408832288066, -0.34810816823656476, -0.01860179434676633, -0.2683437215489184, -0.05327700591256279, 0.26885954619840136, -0.0037519690623983395, 0.014884313368130215, -0.013896877785364902, -0.03317029447143161, -0.09646061963813249, -0.1897792495180701, 0.2636331498817822, 0.08835297314379754, 0.29433547837529767, 0.019985274788057214, 0.011532482027812579, 0.04889312254936369, 0.09518524421768826, 0.01100318755840796, -0.08831940909176199, 0.023244061139087346, 0.17925906409563627, -0.06716425338391821, 0.1735954604404004, -0.5066261825606574, -0.19755998512575684, -0.04147362313774783, 0.13976329276446514, 0.22937638706765895, -0.04786415573149963, -0.3262080838254025, -0.0009534061171634253, -0.12746610379301357, -0.11838028041191052, -0.025826240911386734, -0.015393881247714595, 0.026113369679457488, -0.2611591257046648, 0.0669572614133358, 0.10958672874352657, 0.09513700259632843, -0.06338616020349395, -0.08056818845486918, -0.05308837587891017, 0.08069904695053823, 0.061687166664172725, 0.11950599157446345, 0.2607937692123097, -0.0935833543040898, -0.2018016107965174, 0.2996797899304088, -0.09843173930638058, -0.18673442940899107, 0.1333235317765367, -0.20366522607117415, 0.02765872918250754, 0.17597136670333702, 0.12907661977332346, 0.09111940679356975, -0.09485979990892891, 0.08690132049919475, 0.05943332352475155, 0.2202827122365666, 0.05356780699519224, 0.04147316493787045, 0.2628898797069438, 0.13754762456952702, 0.068196983369024, 0.18012016880878268, -0.1699406506593859, -0.08068124307481962, -0.2070091509715069, -0.12906420843805685, -0.2205294352092477, 0.10690566323708396, -0.086192395548921, -0.15665485539072907, 0.4152667301891068, 0.20429828805513248, 0.17046207938949728, -0.07065121510044434, 0.3419462871672802, 0.14033928804700588, 0.1300851198693001, 0.04303276245373973, 0.2797357968033053, 0.26436269915998417, 0.10651725155929494, -0.3643573302786451, 0.05353729211357097, -0.056063184438836434] |
709.2121 | Electrically probing photonic bandgap phenomena in contacted defect
nanocavities | We demonstrate an electrically tunable two dimensional photonic crystal
nanocavity containing InAs self assembled quantum dots. Photoluminescence and
electroluminescence measurements are combined to probe the cavity mode
structure and demonstrate a local electrical contact to the quantum dots.
Measurements performed as a function of the electric field enable us to probe
the capture, relaxation and recombination dynamics of photogenerated carriers
inside the quantum dots emitting into a modified photonic environment.
Furthermore, the two dimensional photonic crystal is probed by spatially
dependent photocurrent spectroscopy indicating a 3.5x enhancement of the local
radiative lifetime of the QDs inside the photonic crystal environment.
| cond-mat.other | we demonstrate an electrically tunable two dimensional photonic crystal nanocavity containing inas self assembled quantum dots photoluminescence and electroluminescence measurements are combined to probe the cavity mode structure and demonstrate a local electrical contact to the quantum dots measurements performed as a function of the electric field enable us to probe the capture relaxation and recombination dynamics of photogenerated carriers inside the quantum dots emitting into a modified photonic environment furthermore the two dimensional photonic crystal is probed by spatially dependent photocurrent spectroscopy indicating a 35x enhancement of the local radiative lifetime of the qds inside the photonic crystal environment | [['we', 'demonstrate', 'an', 'electrically', 'tunable', 'two', 'dimensional', 'photonic', 'crystal', 'nanocavity', 'containing', 'inas', 'self', 'assembled', 'quantum', 'dots', 'photoluminescence', 'and', 'electroluminescence', 'measurements', 'are', 'combined', 'to', 'probe', 'the', 'cavity', 'mode', 'structure', 'and', 'demonstrate', 'a', 'local', 'electrical', 'contact', 'to', 'the', 'quantum', 'dots', 'measurements', 'performed', 'as', 'a', 'function', 'of', 'the', 'electric', 'field', 'enable', 'us', 'to', 'probe', 'the', 'capture', 'relaxation', 'and', 'recombination', 'dynamics', 'of', 'photogenerated', 'carriers', 'inside', 'the', 'quantum', 'dots', 'emitting', 'into', 'a', 'modified', 'photonic', 'environment', 'furthermore', 'the', 'two', 'dimensional', 'photonic', 'crystal', 'is', 'probed', 'by', 'spatially', 'dependent', 'photocurrent', 'spectroscopy', 'indicating', 'a', '35x', 'enhancement', 'of', 'the', 'local', 'radiative', 'lifetime', 'of', 'the', 'qds', 'inside', 'the', 'photonic', 'crystal', 'environment']] | [-0.1328154105739668, 0.21565792916939244, -0.05167118553072214, -0.05038897858117707, 0.014095128714106977, -0.2247636787779629, 0.039865703000687064, 0.47596633100882174, -0.27955095196142793, -0.2962215629592538, -0.049560819352045656, -0.30564669815823436, -0.06201710855588317, 0.21633304524235428, 0.08779861924238502, 0.050301840556785465, -0.006840730737894774, -0.10397122121416032, -0.0035480201710015534, -0.1424481164535973, 0.2158726275176741, 0.02809196539106779, 0.347485173381865, 0.09047709048725665, 0.11850627103820444, 0.017296440205536782, 0.0626379270106554, 0.009616665309295058, -0.14296252518892288, 0.11051021025516093, 0.23044655101373793, -0.10608889571158216, 0.21755608557490633, -0.5084699996234849, -0.19411648460722064, 0.00422657493269071, 0.19069022020790727, 0.15181108050979675, -0.11979649641085416, -0.3229582259990275, 0.02897009124280885, -0.08556409732205793, -0.09329399958252907, -0.03452479802828748, -0.07383801666437648, -0.035054647983051836, -0.24166574952017983, 0.03561672345385887, -0.012960187401622534, 0.014581665193545632, -0.04822283433517441, 0.0318355499743484, -0.04299088306492194, 0.05124110916105565, -0.12121973672183231, -0.009498547185212374, 0.3472743909677956, -0.09008976218479801, -0.1808230410516262, 0.3335232928628102, -0.07484491997398436, -0.11420663352590055, 0.12394673141650855, -0.22508940510451794, 0.01267754664644599, 0.16535022256430237, 0.15456857672717889, 0.11108415340771899, -0.144433992819977, 0.07858634005824569, 0.027098795315250754, 0.2388264063373208, 0.06495369256939738, 0.19398382626939564, 0.2766348274797201, 0.18526107845827938, 0.00724123964086175, 0.15967122711241244, -0.13450508135021663, -0.060941111128777266, -0.20058908247388899, -0.2385442568268627, -0.23490157784050097, 0.15788775733672084, -0.09581059168980573, -0.19115015263669194, 0.43581327609717846, 0.050101999746402726, 0.14985056448727846, -0.0917388469632715, 0.2841122947540134, 0.08458495030761697, 0.1283772845217027, -0.01778067777398974, 0.2697841180488467, 0.24973180601838976, 0.06945135781541467, -0.36222780762705953, -0.036305013075470925, -0.06685677144210786] |
709.2122 | 3D Photoionisation Modelling of NGC 6302 | We present a three-dimensional photoionisation and dust radiative transfer
model of NGC 6302, an extreme, high-excitation planetary nebula. We use the 3D
photoionisation code Mocassin} to model the emission from the gas and dust. We
have produced a good fit to the optical emission-line spectrum, from which we
derived a density distribution for the nebula. A fit to the infrared coronal
lines places strong constraints on the properties of the unseen ionising
source. We find the best fit comes from using a 220,000 K hydrogen-deficient
central star model atmosphere, indicating that the central star of this PN may
have undergone a late thermal pulse.
We have also fitted the overall shape of the ISO spectrum of NGC 6302 using a
dust model with a shallow power-law size distribution and grains up to 1.0
micron in size. To obtain a good fit to the infrared SED the dust must be
sufficiently recessed within the circumstellar disk to prevent large amounts of
hot dust at short wavelengths, a region where the ISO spectrum is particularly
lacking. These and other discoveries are helping to unveil many properties of
this extreme object and trace it's evolutionary history.
| astro-ph | we present a threedimensional photoionisation and dust radiative transfer model of ngc 6302 an extreme highexcitation planetary nebula we use the 3d photoionisation code mocassin to model the emission from the gas and dust we have produced a good fit to the optical emissionline spectrum from which we derived a density distribution for the nebula a fit to the infrared coronal lines places strong constraints on the properties of the unseen ionising source we find the best fit comes from using a 220000 k hydrogendeficient central star model atmosphere indicating that the central star of this pn may have undergone a late thermal pulse we have also fitted the overall shape of the iso spectrum of ngc 6302 using a dust model with a shallow powerlaw size distribution and grains up to 10 micron in size to obtain a good fit to the infrared sed the dust must be sufficiently recessed within the circumstellar disk to prevent large amounts of hot dust at short wavelengths a region where the iso spectrum is particularly lacking these and other discoveries are helping to unveil many properties of this extreme object and trace its evolutionary history | [['we', 'present', 'a', 'threedimensional', 'photoionisation', 'and', 'dust', 'radiative', 'transfer', 'model', 'of', 'ngc', '6302', 'an', 'extreme', 'highexcitation', 'planetary', 'nebula', 'we', 'use', 'the', '3d', 'photoionisation', 'code', 'mocassin', 'to', 'model', 'the', 'emission', 'from', 'the', 'gas', 'and', 'dust', 'we', 'have', 'produced', 'a', 'good', 'fit', 'to', 'the', 'optical', 'emissionline', 'spectrum', 'from', 'which', 'we', 'derived', 'a', 'density', 'distribution', 'for', 'the', 'nebula', 'a', 'fit', 'to', 'the', 'infrared', 'coronal', 'lines', 'places', 'strong', 'constraints', 'on', 'the', 'properties', 'of', 'the', 'unseen', 'ionising', 'source', 'we', 'find', 'the', 'best', 'fit', 'comes', 'from', 'using', 'a', '220000', 'k', 'hydrogendeficient', 'central', 'star', 'model', 'atmosphere', 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709.2123 | Impact of community structure on information transfer | The observation that real complex networks have internal structure has
important implication for dynamic processes occurring on such topologies. Here
we investigate the impact of community structure on a model of information
transfer able to deal with both search and congestion simultaneously. We show
that networks with fuzzy community structure are more efficient in terms of
packet delivery that those with pronounced community structure. We also propose
an alternative packet routing algorithm which takes advantage of the knowledge
of communities to improve information transfer and show that in the context of
the model an intermediate level of community structure is optimal. Finally, we
show that in a hierarchical network setting, providing knowledge of communities
at the level of highest modularity will improve network capacity by the largest
amount.
| physics.soc-ph cond-mat.dis-nn | the observation that real complex networks have internal structure has important implication for dynamic processes occurring on such topologies here we investigate the impact of community structure on a model of information transfer able to deal with both search and congestion simultaneously we show that networks with fuzzy community structure are more efficient in terms of packet delivery that those with pronounced community structure we also propose an alternative packet routing algorithm which takes advantage of the knowledge of communities to improve information transfer and show that in the context of the model an intermediate level of community structure is optimal finally we show that in a hierarchical network setting providing knowledge of communities at the level of highest modularity will improve network capacity by the largest amount | [['the', 'observation', 'that', 'real', 'complex', 'networks', 'have', 'internal', 'structure', 'has', 'important', 'implication', 'for', 'dynamic', 'processes', 'occurring', 'on', 'such', 'topologies', 'here', 'we', 'investigate', 'the', 'impact', 'of', 'community', 'structure', 'on', 'a', 'model', 'of', 'information', 'transfer', 'able', 'to', 'deal', 'with', 'both', 'search', 'and', 'congestion', 'simultaneously', 'we', 'show', 'that', 'networks', 'with', 'fuzzy', 'community', 'structure', 'are', 'more', 'efficient', 'in', 'terms', 'of', 'packet', 'delivery', 'that', 'those', 'with', 'pronounced', 'community', 'structure', 'we', 'also', 'propose', 'an', 'alternative', 'packet', 'routing', 'algorithm', 'which', 'takes', 'advantage', 'of', 'the', 'knowledge', 'of', 'communities', 'to', 'improve', 'information', 'transfer', 'and', 'show', 'that', 'in', 'the', 'context', 'of', 'the', 'model', 'an', 'intermediate', 'level', 'of', 'community', 'structure', 'is', 'optimal', 'finally', 'we', 'show', 'that', 'in', 'a', 'hierarchical', 'network', 'setting', 'providing', 'knowledge', 'of', 'communities', 'at', 'the', 'level', 'of', 'highest', 'modularity', 'will', 'improve', 'network', 'capacity', 'by', 'the', 'largest', 'amount']] | [-0.13907064041541162, 0.036410014372677324, -0.059462798075401224, 0.08014937393181754, -0.09661324843182229, -0.08649199403294006, 0.07041896174268913, 0.43969501039828174, -0.28844513877265854, -0.3326960649792454, 0.08577233503547177, -0.24034787173150107, -0.24504011147837446, 0.13345998036129458, -0.03051338601108, 0.0223341737979581, 0.1160655732082887, 0.09531877775953035, -0.0019622804738901323, -0.2361722736586671, 0.3692439234155245, 0.12801045383821474, 0.32174932708221604, 0.08463108378873585, 0.09722944434543024, -0.002445632301714795, -0.025234593809727812, 0.02089428698491247, -0.10363893753270759, 0.17451960236212472, 0.2724986875182367, 0.2048166167905947, 0.2952500370392954, -0.4471417626045877, -0.26592588169660303, 0.10417280234833015, 0.13527353792233043, 0.11257469452448277, -0.03129781442532931, -0.2682833166763885, 0.11724990123184398, -0.2043409718971816, -0.05469864755650633, -0.10727230129850795, -0.015932558300846722, 0.006411523445422063, -0.2437043173854363, 0.011258525669973096, 0.045336878265516134, 0.008929161394917173, -0.05749339302201406, -0.10380690159581718, -0.010775024376926012, 0.17728321011964, -0.021204295957431896, -0.01175441046098058, 0.10716628410227713, -0.1651168002426857, -0.16526377775517176, 0.369913773254666, -0.03860565756122014, -0.170567144650704, 0.17158998022205196, -0.10746116291556973, -0.179193676012801, 0.1235834132949094, 0.25356946846295614, 0.06142260251363041, -0.1377055062571344, 0.04486702222402528, -0.04101200300647179, 0.1850987416692078, 0.04295703300522291, 0.06233247798445518, 0.152667935431964, 0.25216849294520216, 0.1190798649968201, 0.1381003874430462, -0.07721717767890368, -0.12643361321170232, -0.1897638223163085, -0.13859955487214393, -0.15914996492210776, -0.011569335452804808, -0.10181347092270698, -0.13461844545963686, 0.4116825954661181, 0.18635075184829475, 0.21447886821988504, 0.06765198599441646, 0.3024001621961361, 0.05635239358161925, 0.07808654586551711, 0.10710340692821774, 0.19409282087383417, 0.06242194439073501, 0.10765004557470093, -0.1808094067928323, 0.14391317375702783, -0.011643629797617905] |
709.2124 | Mechanical losses in low loss materials studied by Cryogenic Resonant
Acoustic spectroscopy of bulk materials (CRA spectroscopy) | Mechanical losses of crystalline silicon and calcium fluoride have been
analyzed in the temperature range from 5 to 300 K by our novel mechanical
spectroscopy method, cryogenic resonant acoustic spectroscopy of bulk materials
(CRA spectrocopy). The focus lies on the interpretation of the measured data
according to phonon-phonon interactions and defect induced losses in
consideration of the excited mode shape.
| cond-mat.other cond-mat.mtrl-sci | mechanical losses of crystalline silicon and calcium fluoride have been analyzed in the temperature range from 5 to 300 k by our novel mechanical spectroscopy method cryogenic resonant acoustic spectroscopy of bulk materials cra spectrocopy the focus lies on the interpretation of the measured data according to phononphonon interactions and defect induced losses in consideration of the excited mode shape | [['mechanical', 'losses', 'of', 'crystalline', 'silicon', 'and', 'calcium', 'fluoride', 'have', 'been', 'analyzed', 'in', 'the', 'temperature', 'range', 'from', '5', 'to', '300', 'k', 'by', 'our', 'novel', 'mechanical', 'spectroscopy', 'method', 'cryogenic', 'resonant', 'acoustic', 'spectroscopy', 'of', 'bulk', 'materials', 'cra', 'spectrocopy', 'the', 'focus', 'lies', 'on', 'the', 'interpretation', 'of', 'the', 'measured', 'data', 'according', 'to', 'phononphonon', 'interactions', 'and', 'defect', 'induced', 'losses', 'in', 'consideration', 'of', 'the', 'excited', 'mode', 'shape']] | [-0.08225916707888245, 0.1832085127942264, -0.031611331883080615, -0.0529274123099943, -0.03048558474207918, -0.14304784682268898, 0.07728004343807697, 0.4320702937742074, -0.24633974772101888, -0.3206884665569911, 0.014929932390805334, -0.34725138502690245, -0.07058114564279094, 0.19928510283740858, 0.018853521112275, 0.06335162102865675, 0.039275394892320036, -0.0400092236775284, -0.005880727308491865, -0.12408771558354298, 0.2575953413421909, 0.07142457502583663, 0.3601598128676414, 0.10026941508209954, 0.06355022733914666, -0.001767361001111567, 0.01952063284503917, -0.025539640188920507, -0.16385287144221367, 0.10764152649790049, 0.2676797271085282, -0.015935151275092114, 0.22165467155476412, -0.44722155096630256, -0.26144611497875303, 0.01992672954996427, 0.09797764651787778, 0.08818660754089554, -0.06555356812702182, -0.27883687608215646, 0.059856211626902224, -0.11690917301457375, -0.1180965943261981, -0.054187779570929705, -0.0014532918537346025, -0.002805673082669576, -0.17948834965936838, 0.06783774628614386, 0.017510594598328075, 0.1149309665648616, -0.15354011349845678, -0.14542564038808148, -0.060166187207990635, 0.040330924388642116, -0.014282363643481706, -0.04373885780660203, 0.251379428897053, -0.07387224300764501, -0.06294524433712165, 0.37615675340445404, -0.1068307172274217, -0.03942609511626263, 0.20216790822645028, -0.17162464041418085, -0.042617196845822033, 0.22130163510640463, 0.16759479044315714, 0.12168591600687553, -0.18969479979326329, 0.04217110569394814, 0.06961344938414792, 0.1718738634760181, 0.09737523077055812, 0.1265993053559214, 0.184846516015629, 0.21075182909650417, -0.08688276145840064, 0.16436157321052935, -0.15237505008699373, 0.046985212496171394, -0.20262574233153524, -0.13660163066039482, -0.19137193290662252, 0.00986338780882458, -0.05274005099151206, -0.13551027791496986, 0.37513820473104714, 0.08418066853967805, 0.1665863087711235, -0.09284169330882529, 0.27695241981806856, 0.06578165692626499, 0.12069005262261877, -0.058483779150992635, 0.36084652960610886, 0.209572850864303, 0.09965323230717331, -0.3434942523444382, 0.01589514174265787, -0.044213955950302385] |
709.2125 | Reconstruction accuracy of the surface detector array of the Pierre
Auger Observatory | The reconstruction of extensive air showers (arrival direction, core position
and energy estimation) by the surface detector of the Pierre Auger Observatory
is discussed together with the corresponding accuracy. We determine the angular
reconstruction accuracy as a function of the station multiplicity by using two
different aproaches. We discuss statistical and systematic uncertainties in the
determination of the signal at 1000 m from the core, S(1000), which is used to
estimate the primary energy.
| astro-ph | the reconstruction of extensive air showers arrival direction core position and energy estimation by the surface detector of the pierre auger observatory is discussed together with the corresponding accuracy we determine the angular reconstruction accuracy as a function of the station multiplicity by using two different aproaches we discuss statistical and systematic uncertainties in the determination of the signal at 1000 m from the core s1000 which is used to estimate the primary energy | [['the', 'reconstruction', 'of', 'extensive', 'air', 'showers', 'arrival', 'direction', 'core', 'position', 'and', 'energy', 'estimation', 'by', 'the', 'surface', 'detector', 'of', 'the', 'pierre', 'auger', 'observatory', 'is', 'discussed', 'together', 'with', 'the', 'corresponding', 'accuracy', 'we', 'determine', 'the', 'angular', 'reconstruction', 'accuracy', 'as', 'a', 'function', 'of', 'the', 'station', 'multiplicity', 'by', 'using', 'two', 'different', 'aproaches', 'we', 'discuss', 'statistical', 'and', 'systematic', 'uncertainties', 'in', 'the', 'determination', 'of', 'the', 'signal', 'at', '1000', 'm', 'from', 'the', 'core', 's1000', 'which', 'is', 'used', 'to', 'estimate', 'the', 'primary', 'energy']] | [-0.08464094350905452, 0.11384494294418813, -0.05935237563712752, 0.08262314664180812, -0.01803638430771558, -0.0055318745044506575, 0.005816992257453807, 0.38417212598740236, -0.2316798584867422, -0.4193813777082179, 0.09435078403944379, -0.32380657660940737, -0.03346845301981275, 0.1685152272502445, -0.008086679962604013, 0.07457209698702782, 0.14235402086800705, 0.03280986059131739, -0.1042190454389951, -0.13990068499458164, 0.2907919408625936, 0.20556258859291468, 0.28299753487824575, 0.06042522815221997, 0.1339617611789336, 0.04441316152144581, -0.10218861190704247, -0.01897642514604616, -0.13503479511693936, 0.11331837289418055, 0.24918482764879216, 0.1298311088642437, 0.18342344751198814, -0.3742567590144399, -0.17869816044957876, 0.07399377649114149, 0.0830230176455201, 0.03461163258977387, -0.02559962914299781, -0.30801236300333723, 0.08367022473288521, -0.1672784767100868, -0.142183108510424, 0.04843899341019457, -0.057693799354824916, 0.0687530908274324, -0.20639996332665012, 0.051902627776542754, -0.03635465203184787, 0.056968114645003454, -0.0574549147532296, -0.19049286449404612, -0.027209985624896744, 0.16125765380972665, 0.08131426385259383, 0.05714924447238445, 0.15020748099618375, -0.08023986215256665, -0.06722169340116112, 0.35219908998130933, -0.07183410079786172, -0.1593759637581159, 0.15206026667346284, -0.1925475456407421, -0.09782163937869545, 0.19094500462333225, 0.19453526594459195, 0.05168080674356794, -0.17084658045117576, 0.031109094860555273, 0.04178805455361327, 0.15745954290797856, 0.0892665934723432, -0.02229750197227687, 0.19730427295722272, 0.18858691847130452, 0.11587387447768491, 0.0884327755009832, -0.24380242548985023, 0.006275935889515158, -0.3077460595291771, -0.14571004367293153, -0.22058362010483668, 0.013684850084046796, -0.07984621603359239, -0.08924793690596133, 0.45175652517235443, 0.14514017397257156, 0.18750994547895372, 0.007367181803788735, 0.3458973930204568, 0.08314412835928012, 0.006116105115985217, 0.059782268629371096, 0.27694798710003293, 0.13099329398740847, 0.08830205178245494, -0.267624258066923, 0.06830449216067791, 0.045070642822307265] |
709.2126 | Old open clusters in the outer Galactic disk | The outer parts of the Milky Way disk are believed to be one of the main
arenas where the accretion of external material in the form of dwarf galaxies
and subsequent formation of streams is taking place. The Monoceros stream and
the Canis Major and Argo over-densities are notorious examples. VLT high
resolution spectra have been acquired for five distant open clusters. We derive
accurate radial velocities to distinguish field interlopers and cluster
members. For the latter we perform a detailed abundance analysis and derive the
iron abundance [Fe/H] and the abundance ratios of several $\alpha$ elements.
Our analysis confirms previous indications that the radial abundance gradient
in the outer Galactic disk does not follow the expectations extrapolated from
the solar vicinity, but exhibits a shallower slope. By combining the
metallicity of the five program clusters with eight more clusters for which
high resolution spectroscopy is available, we find that the mean metallicity in
the outer disk between 12 and 21 kpc from the Galactic center is [Fe/H]
$\approx -0.35$, with only marginal indications for a radial variation. In
addition, all the program clusters exhibit solar scaled or slightly enhanced
$\alpha$ elements, similar to open clusters in the solar vicinity and thin disk
stars. We investigate whether this outer disk cluster sample might belong to an
extra-galactic population, like the Monoceros ring. However, close scrutiny of
their properties - location, kinematics and chemistry - does not convincingly
favor this hypothesis. On the contrary, they appear more likely genuine
Galactic disk clusters. We finally stress the importance to obtain proper
motion measurements for these clusters to constrain their orbits.
| astro-ph | the outer parts of the milky way disk are believed to be one of the main arenas where the accretion of external material in the form of dwarf galaxies and subsequent formation of streams is taking place the monoceros stream and the canis major and argo overdensities are notorious examples vlt high resolution spectra have been acquired for five distant open clusters we derive accurate radial velocities to distinguish field interlopers and cluster members for the latter we perform a detailed abundance analysis and derive the iron abundance feh and the abundance ratios of several alpha elements our analysis confirms previous indications that the radial abundance gradient in the outer galactic disk does not follow the expectations extrapolated from the solar vicinity but exhibits a shallower slope by combining the metallicity of the five program clusters with eight more clusters for which high resolution spectroscopy is available we find that the mean metallicity in the outer disk between 12 and 21 kpc from the galactic center is feh approx 035 with only marginal indications for a radial variation in addition all the program clusters exhibit solar scaled or slightly enhanced alpha elements similar to open clusters in the solar vicinity and thin disk stars we investigate whether this outer disk cluster sample might belong to an extragalactic population like the monoceros ring however close scrutiny of their properties location kinematics and chemistry does not convincingly favor this hypothesis on the contrary they appear more likely genuine galactic disk clusters we finally stress the importance to obtain proper motion measurements for these clusters to constrain their orbits | [['the', 'outer', 'parts', 'of', 'the', 'milky', 'way', 'disk', 'are', 'believed', 'to', 'be', 'one', 'of', 'the', 'main', 'arenas', 'where', 'the', 'accretion', 'of', 'external', 'material', 'in', 'the', 'form', 'of', 'dwarf', 'galaxies', 'and', 'subsequent', 'formation', 'of', 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'eight', 'more', 'clusters', 'for', 'which', 'high', 'resolution', 'spectroscopy', 'is', 'available', 'we', 'find', 'that', 'the', 'mean', 'metallicity', 'in', 'the', 'outer', 'disk', 'between', '12', 'and', '21', 'kpc', 'from', 'the', 'galactic', 'center', 'is', 'feh', 'approx', '035', 'with', 'only', 'marginal', 'indications', 'for', 'a', 'radial', 'variation', 'in', 'addition', 'all', 'the', 'program', 'clusters', 'exhibit', 'solar', 'scaled', 'or', 'slightly', 'enhanced', 'alpha', 'elements', 'similar', 'to', 'open', 'clusters', 'in', 'the', 'solar', 'vicinity', 'and', 'thin', 'disk', 'stars', 'we', 'investigate', 'whether', 'this', 'outer', 'disk', 'cluster', 'sample', 'might', 'belong', 'to', 'an', 'extragalactic', 'population', 'like', 'the', 'monoceros', 'ring', 'however', 'close', 'scrutiny', 'of', 'their', 'properties', 'location', 'kinematics', 'and', 'chemistry', 'does', 'not', 'convincingly', 'favor', 'this', 'hypothesis', 'on', 'the', 'contrary', 'they', 'appear', 'more', 'likely', 'genuine', 'galactic', 'disk', 'clusters', 'we', 'finally', 'stress', 'the', 'importance', 'to', 'obtain', 'proper', 'motion', 'measurements', 'for', 'these', 'clusters', 'to', 'constrain', 'their', 'orbits']] | [-0.0717117192277937, 0.08115459202060737, -0.087676277286128, 0.09064881992570117, -0.09700444615200947, -0.0483448801149047, 0.04528271798849722, 0.41529521013477017, -0.19221664403295635, -0.3691317588931188, 0.046140977427892076, -0.290118976545177, -0.01892719208875573, 0.18450419991749822, -0.040213609451281, -0.03419212356762946, 0.06733238640551183, -0.038661579575645214, -0.043484723456711616, -0.25796176878476335, 0.2816292204424963, 0.06271347025220275, 0.15033255000528706, -0.06005203461097693, -0.0027054948522184127, -0.10592639442057089, -0.06865368045243274, -0.00549692985482682, -0.16995411485993117, 0.06860736710666258, 0.21568300916473696, 0.10582155899645382, 0.21373919927851207, -0.3711546085847056, -0.20073934459771708, 0.06898946586569168, 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709.2127 | \'Etale cohomology of the complement of a linear subspace arrangement | We prove a formula for the cup product on the l-adic cohomology of the
complement of a linear subspace arrangement.
| math.AG | we prove a formula for the cup product on the ladic cohomology of the complement of a linear subspace arrangement | [['we', 'prove', 'a', 'formula', 'for', 'the', 'cup', 'product', 'on', 'the', 'ladic', 'cohomology', 'of', 'the', 'complement', 'of', 'a', 'linear', 'subspace', 'arrangement']] | [-0.25426091700792314, -0.040787704742979256, -0.11213498208671809, -0.01460115760564804, -0.07547113923355937, -0.052708453265950084, 0.019392633996903896, 0.24718718230724335, -0.36453109979629517, -0.12338117631152272, 0.14579966103192418, -0.24078031368553637, -0.14918571733869612, 0.20467829881235958, -0.13748412975110114, -0.019174354523420332, 0.09534035064280033, 0.14814308229833842, -0.08743082503788173, -0.24432182321324944, 0.4086449764668941, -0.106983950920403, 0.2507201531901956, 0.04728038394823671, 0.15364154386334122, 0.06647671249229462, 0.003970275726169347, -0.08841302320361137, -0.18236340275034307, 0.19216111227869986, 0.329689128883183, 0.11146657058270648, 0.15142918936908245, -0.3846589494496584, -0.014847167953848838, 0.18254762883298098, 0.09610573817044496, 0.0028407353442162276, 0.039557358069578184, -0.25183589542284607, 0.08243235275149345, -0.22787746805697678, -0.12744525037705898, -0.05795803321525454, 0.05558185819536447, 0.021880411170423032, -0.30225822534412145, -0.03440717898774892, 0.08727529612369836, 0.18319976604543625, -0.11904433164745569, -0.13905468210577965, -0.021666484838351607, 0.03767913798801601, -0.07932609068229794, 0.03264152125921101, 0.1422079096082598, -0.07822737693786622, -0.15182043043896556, 0.3823005273938179, -0.10384018626064062, -0.2483534287661314, 0.052520815096795556, -0.20384981008246542, -0.19815789446001872, 0.037823652289807795, 0.05470359036698937, 0.15582389095798135, 0.10310988910496235, 0.2076488076709211, -0.18921308885328472, 0.05532832287717611, 0.05964837232604623, -0.03353599670808762, 0.10751052089035511, 0.08963471492752433, 0.17162790317088367, 0.18849887866526843, -0.0022998068830929696, 0.024274977575987577, -0.36425242563709614, -0.3278775181621313, -0.22674776371568442, 0.14012528639286756, -0.1511401315452531, -0.21490126494318246, 0.4403175935149193, 0.004059446789324283, 0.2555918639525771, 0.1531575616914779, 0.28050552029162645, 0.053035988798365, 0.04044715836644173, 0.003522352082654834, 0.12464096862822771, 0.21949059152975678, -0.06979021595325322, -0.1666721497895196, 0.03345129708759487, 0.30847423151135445] |
709.2128 | D-branes, KK-theory and duality on noncommutative spaces | We present a new categorical classification framework for D-brane charges on
noncommutative manifolds using methods of bivariant K-theory. We describe
several applications including an explicit formula for D-brane charge in cyclic
homology, a refinement of open string T-duality, and a general criterion for
cancellation of global worldsheet anomalies.
| hep-th math.KT | we present a new categorical classification framework for dbrane charges on noncommutative manifolds using methods of bivariant ktheory we describe several applications including an explicit formula for dbrane charge in cyclic homology a refinement of open string tduality and a general criterion for cancellation of global worldsheet anomalies | [['we', 'present', 'a', 'new', 'categorical', 'classification', 'framework', 'for', 'dbrane', 'charges', 'on', 'noncommutative', 'manifolds', 'using', 'methods', 'of', 'bivariant', 'ktheory', 'we', 'describe', 'several', 'applications', 'including', 'an', 'explicit', 'formula', 'for', 'dbrane', 'charge', 'in', 'cyclic', 'homology', 'a', 'refinement', 'of', 'open', 'string', 'tduality', 'and', 'a', 'general', 'criterion', 'for', 'cancellation', 'of', 'global', 'worldsheet', 'anomalies']] | [-0.18712864439779273, 0.037190688650601565, -0.12029119324870408, 0.20168437752484655, -0.10657130934608479, -0.20026480287197046, 0.00936957009738156, 0.3289313582936302, -0.2478276869903008, -0.2174026780994609, 0.09284806327923434, -0.17989596340794378, -0.1988468033960089, 0.18867758913741758, -0.23574564021934444, 0.02453526435419917, 0.007450458996269542, 0.04488924009880672, -0.15965975632813448, -0.2590406185699976, 0.4021299205099543, -0.0034734082291834056, 0.26350904389012914, 0.12306592687188338, 0.13478726814097777, 0.02389703788018475, -0.0726820284447361, 0.002285129022008429, -0.18107259615984125, 0.14694833499379456, 0.30872008101141546, 0.07616497676402408, 0.054164437586829685, -0.459707864249746, -0.19467795407399535, 0.0881703781002822, 0.12275523291706729, 0.19063787233123244, -0.07838050686647573, -0.28803977659360197, 0.10114200434569891, -0.23949245313027254, -0.0874402205614994, -0.20277280104346573, 0.04587184164362649, -0.06009029829874635, -0.2406281889998354, -0.005015077273128554, 0.0590113630266084, 0.19009435215654472, -0.1256616601215986, -0.04065970245816667, 0.014437743947686007, 0.10243019720655866, 0.07107745082854915, 0.04363994974604187, 0.12943236489081755, -0.13983651041053236, -0.24433190914957473, 0.3222337541616677, -0.060027664934750646, -0.22464293167771152, 0.07934629337008421, 0.0005975462457475563, -0.3085869832818086, 0.09796405071392655, 0.05965606883789102, 0.22834266134304926, -0.09810391338154052, 0.20067797914452967, -0.06207049129686008, 0.04559195006974429, 0.10671360879496206, 0.0467993470338115, 0.2565627414151095, 0.1039868214672121, 0.09708791862552364, 0.15942404865442464, -0.035830779443737505, -0.1062046696121494, -0.44210427603684366, -0.19992394477594644, -0.04263876287829286, 0.13345210031062985, -0.16774952314608527, -0.2334075696223105, 0.412398454034701, 0.0849286715965718, 0.1450627329565274, 0.09972150487980495, 0.24730535579146817, 0.013060026734213656, 0.04257607242713372, 0.00047253704299995053, 0.06877619330528735, 0.21276006160769612, 0.05770938078921972, -0.17988189392296286, -0.17561426775258346, 0.321160406213797] |
709.2129 | Loop Quantum Dynamics of the Schwarzschild Interior | We examine the Schwarzschild interior of a black hole, incorporating quantum
gravitational modifications due to loop quantum gravity. We consider an
improved loop quantization using techniques that have proven successful in loop
quantum cosmology. The central Schwarzschild singularity is resolved and the
implications for the fate of an in-falling test particle in the interior region
is discussed. The singularity is replaced by a Nariai type Universe. We discuss
the resulting conformal diagram, providing a clear geometrical interpretation
of the quantum effects.
| gr-qc astro-ph math-ph math.MP | we examine the schwarzschild interior of a black hole incorporating quantum gravitational modifications due to loop quantum gravity we consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology the central schwarzschild singularity is resolved and the implications for the fate of an infalling test particle in the interior region is discussed the singularity is replaced by a nariai type universe we discuss the resulting conformal diagram providing a clear geometrical interpretation of the quantum effects | [['we', 'examine', 'the', 'schwarzschild', 'interior', 'of', 'a', 'black', 'hole', 'incorporating', 'quantum', 'gravitational', 'modifications', 'due', 'to', 'loop', 'quantum', 'gravity', 'we', 'consider', 'an', 'improved', 'loop', 'quantization', 'using', 'techniques', 'that', 'have', 'proven', 'successful', 'in', 'loop', 'quantum', 'cosmology', 'the', 'central', 'schwarzschild', 'singularity', 'is', 'resolved', 'and', 'the', 'implications', 'for', 'the', 'fate', 'of', 'an', 'infalling', 'test', 'particle', 'in', 'the', 'interior', 'region', 'is', 'discussed', 'the', 'singularity', 'is', 'replaced', 'by', 'a', 'nariai', 'type', 'universe', 'we', 'discuss', 'the', 'resulting', 'conformal', 'diagram', 'providing', 'a', 'clear', 'geometrical', 'interpretation', 'of', 'the', 'quantum', 'effects']] | [-0.15444789978641052, 0.09830558563497803, -0.1362538094298891, 0.16036602843087167, -0.09749867980954824, -0.1568224643541063, -0.019292429897267326, 0.27955558206196185, -0.18186594477105875, -0.21204653704239998, 0.09282365347902624, -0.2382381521395327, -0.12167689418075261, 0.17937389335287504, -0.09183524289480295, 0.036146467068681014, 0.025113289439935745, 0.04729908233347498, -0.1228722762460188, -0.21098254165428196, 0.39137511561268273, 0.14358873845273515, 0.19874282418117847, 0.0527452065459924, 0.11525061753015091, -0.008497808119971995, -0.01400290392799142, 0.09160873198301106, -0.2013582505066024, 0.04036576334059377, 0.18414823153562107, 0.12354271201255881, 0.2242110693068416, -0.43294834198407184, -0.2747443149464182, 0.05253714880112697, 0.17337161427892653, 0.18099842709201722, -0.13278682324977845, -0.3077066695363617, 0.07932623326857459, -0.19408262165746204, -0.2004230105387116, -0.024086013321339347, -0.0035539119478162767, -0.1459956528434967, -0.15078256850671254, 0.08070998795238542, 0.0601520322918616, -0.021138542699685067, -0.043488729679037205, -0.026968936056450562, 0.027406992517227745, 0.11363925615233587, 0.028718347227154873, 0.02738332286776032, 0.19636575051548857, -0.14201789896613287, -0.14965367612693412, 0.38422966722031066, -0.045785344993396676, -0.17497977825962466, 0.12415815257455831, -0.19579751386571628, -0.11110976733911185, 0.06940245297507464, 0.07640179209871056, 0.13244755575893286, -0.1270971289306971, 0.1954459451551457, 0.056739781684253685, 0.12635872015200647, 0.12066441416786408, 0.06626804291420145, 0.3793675996662106, 0.1221742537016348, 0.006146694220211587, 0.18232822265292023, -0.104868671891314, -0.17936978927227082, -0.3747593985617529, -0.19106732705035995, -0.13052060069332336, 0.09098585132785418, -0.16330781930832647, -0.19763614233284268, 0.3234088044170934, 0.105605936174268, 0.16562035815491352, -0.053840055187911164, 0.2637066940466563, 0.1167269605398753, 0.023225350727982545, 0.07527472927913438, 0.33191019651497267, 0.17611949223116685, 0.10615087532938493, -0.29256268749214753, -0.04171041722903833, 0.12190299952276235] |
709.213 | Effective growth of matter density fluctuations in the running LCDM and
LXCDM models | We investigate the matter density fluctuations \delta\rho/\rho for two dark
energy (DE) models in the literature in which the cosmological term \Lambda is
a running parameter. In the first model, the running LCDM model, matter and DE
exchange energy, whereas in the second model, the LXCDM model, the total DE and
matter components are conserved separately. The LXCDM model was proposed as an
interesting solution to the cosmic coincidence problem. It includes an extra
dynamical component, the "cosmon" X, which interacts with the running \Lambda,
but not with matter. In our analysis we make use of the current value of the
linear bias parameter, b^2(0)= P_{GG}/P_{MM}, where P_{MM} ~
(\delta\rho/\rho)^2 is the present matter power spectrum and P_{GG} is the
galaxy fluctuation power spectrum. The former can be computed within a given
model, and the latter is found from the observed LSS data (at small z) obtained
by the 2dF galaxy redshift survey. It is found that b^2(0)=1 within a 10%
accuracy for the standard LCDM model. Adopting this limit for any DE model and
using a method based on the effective equation of state for the DE, we can set
a limit on the growth of matter density perturbations for the running LCDM
model, the solution of which is known. This provides a good test of the
procedure, which we then apply to the LXCDM model in order to determine the
physical region of parameter space, compatible with the LSS data. In this
region, the LXCDM model is consistent with known observations and provides at
the same time a viable solution to the cosmic coincidence problem.
| gr-qc astro-ph hep-ph hep-th | we investigate the matter density fluctuations deltarhorho for two dark energy de models in the literature in which the cosmological term lambda is a running parameter in the first model the running lcdm model matter and de exchange energy whereas in the second model the lxcdm model the total de and matter components are conserved separately the lxcdm model was proposed as an interesting solution to the cosmic coincidence problem it includes an extra dynamical component the cosmon x which interacts with the running lambda but not with matter in our analysis we make use of the current value of the linear bias parameter b20 p_ggp_mm where p_mm deltarhorho2 is the present matter power spectrum and p_gg is the galaxy fluctuation power spectrum the former can be computed within a given model and the latter is found from the observed lss data at small z obtained by the 2df galaxy redshift survey it is found that b201 within a 10 accuracy for the standard lcdm model adopting this limit for any de model and using a method based on the effective equation of state for the de we can set a limit on the growth of matter density perturbations for the running lcdm model the solution of which is known this provides a good test of the procedure which we then apply to the lxcdm model in order to determine the physical region of parameter space compatible with the lss data in this region the lxcdm model is consistent with known observations and provides at the same time a viable solution to the cosmic coincidence problem | [['we', 'investigate', 'the', 'matter', 'density', 'fluctuations', 'deltarhorho', 'for', 'two', 'dark', 'energy', 'de', 'models', 'in', 'the', 'literature', 'in', 'which', 'the', 'cosmological', 'term', 'lambda', 'is', 'a', 'running', 'parameter', 'in', 'the', 'first', 'model', 'the', 'running', 'lcdm', 'model', 'matter', 'and', 'de', 'exchange', 'energy', 'whereas', 'in', 'the', 'second', 'model', 'the', 'lxcdm', 'model', 'the', 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0.10384711261113724, -0.21330233879052685, 0.03495484508334123, 0.02582621102037868] |
709.2131 | Gravitational dynamics in s+1+1 dimensions II. Hamiltonian theory | We develop a Hamiltonian formalism of brane-world gravity, which singles out
two preferred, mutually orthogonal directions. One is a unit twist-free field
of spatial vectors with integral lines intersecting perpendicularly the brane.
The other is a temporal vector field with respect to which we perform the
Arnowitt-Deser-Misner decomposition of the Einstein-Hilbert Lagrangian. The
gravitational variables arise from the projections of the spatial metric and
their canonically conjugated momenta as tensorial, vectorial and scalar
quantities defined on the family of hypersurfaces containing the brane. They
represent the gravitons, a gravi-photon and a gravi-scalar, respectively. From
the action we derive the canonical evolution equations and the constraints for
these gravitational degrees of freedom both on the brane and outside it. By
integrating across the brane, the dynamics also generates the tensorial and
scalar projection of the Lanczos equation. The vectorial projection of the
Lanczos equation arises in a similar way from the diffeomorphism constraint.
Both the graviton and the gravi-scalar are continuous across the brane, however
the momentum of the gravi-vector has a jump, related to the energy transport
(heat flow) on the brane.
| gr-qc astro-ph hep-th | we develop a hamiltonian formalism of braneworld gravity which singles out two preferred mutually orthogonal directions one is a unit twistfree field of spatial vectors with integral lines intersecting perpendicularly the brane the other is a temporal vector field with respect to which we perform the arnowittdesermisner decomposition of the einsteinhilbert lagrangian the gravitational variables arise from the projections of the spatial metric and their canonically conjugated momenta as tensorial vectorial and scalar quantities defined on the family of hypersurfaces containing the brane they represent the gravitons a graviphoton and a graviscalar respectively from the action we derive the canonical evolution equations and the constraints for these gravitational degrees of freedom both on the brane and outside it by integrating across the brane the dynamics also generates the tensorial and scalar projection of the lanczos equation the vectorial projection of the lanczos equation arises in a similar way from the diffeomorphism constraint both the graviton and the graviscalar are continuous across the brane however the momentum of the gravivector has a jump related to the energy transport heat flow on the brane | [['we', 'develop', 'a', 'hamiltonian', 'formalism', 'of', 'braneworld', 'gravity', 'which', 'singles', 'out', 'two', 'preferred', 'mutually', 'orthogonal', 'directions', 'one', 'is', 'a', 'unit', 'twistfree', 'field', 'of', 'spatial', 'vectors', 'with', 'integral', 'lines', 'intersecting', 'perpendicularly', 'the', 'brane', 'the', 'other', 'is', 'a', 'temporal', 'vector', 'field', 'with', 'respect', 'to', 'which', 'we', 'perform', 'the', 'arnowittdesermisner', 'decomposition', 'of', 'the', 'einsteinhilbert', 'lagrangian', 'the', 'gravitational', 'variables', 'arise', 'from', 'the', 'projections', 'of', 'the', 'spatial', 'metric', 'and', 'their', 'canonically', 'conjugated', 'momenta', 'as', 'tensorial', 'vectorial', 'and', 'scalar', 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709.2132 | Dynamics of vortices in weakly interacting Bose-Einstein condensates | We study the dynamics of vortices in ideal and weakly interacting
Bose-Einstein condensates using a Ritz minimization method to solve the
two-dimensional Gross-Pitaevskii equation. For different initial vortex
configurations we calculate the trajectories of the vortices. We find
conditions under which a vortex-antivortex pair annihilates and is created
again. For the case of three vortices we show that at certain times two
additional vortices may be created, which move through the condensate and
annihilate each other again. For a noninteracting condensate this process is
periodic, whereas for small interactions the essential features persist, but
the periodicity is lost. The results are compared to exact numerical solutions
of the Gross-Pitaevskii equation confirming our analytical findings.
| quant-ph | we study the dynamics of vortices in ideal and weakly interacting boseeinstein condensates using a ritz minimization method to solve the twodimensional grosspitaevskii equation for different initial vortex configurations we calculate the trajectories of the vortices we find conditions under which a vortexantivortex pair annihilates and is created again for the case of three vortices we show that at certain times two additional vortices may be created which move through the condensate and annihilate each other again for a noninteracting condensate this process is periodic whereas for small interactions the essential features persist but the periodicity is lost the results are compared to exact numerical solutions of the grosspitaevskii equation confirming our analytical findings | [['we', 'study', 'the', 'dynamics', 'of', 'vortices', 'in', 'ideal', 'and', 'weakly', 'interacting', 'boseeinstein', 'condensates', 'using', 'a', 'ritz', 'minimization', 'method', 'to', 'solve', 'the', 'twodimensional', 'grosspitaevskii', 'equation', 'for', 'different', 'initial', 'vortex', 'configurations', 'we', 'calculate', 'the', 'trajectories', 'of', 'the', 'vortices', 'we', 'find', 'conditions', 'under', 'which', 'a', 'vortexantivortex', 'pair', 'annihilates', 'and', 'is', 'created', 'again', 'for', 'the', 'case', 'of', 'three', 'vortices', 'we', 'show', 'that', 'at', 'certain', 'times', 'two', 'additional', 'vortices', 'may', 'be', 'created', 'which', 'move', 'through', 'the', 'condensate', 'and', 'annihilate', 'each', 'other', 'again', 'for', 'a', 'noninteracting', 'condensate', 'this', 'process', 'is', 'periodic', 'whereas', 'for', 'small', 'interactions', 'the', 'essential', 'features', 'persist', 'but', 'the', 'periodicity', 'is', 'lost', 'the', 'results', 'are', 'compared', 'to', 'exact', 'numerical', 'solutions', 'of', 'the', 'grosspitaevskii', 'equation', 'confirming', 'our', 'analytical', 'findings']] | [-0.18373649262439198, 0.17451374738869307, -0.11283947446581646, 0.09054444217704977, -0.015802495279594472, -0.14728632729843652, -0.0015222404107222694, 0.3420694327602784, -0.24805719773040005, -0.22268190808398158, 0.05724932170338243, -0.2962708642150749, -0.09136873949727599, 0.16791242747077426, 0.06905776374205425, 0.03148538514710309, 0.09221358987780516, 0.018671796975755377, -0.04541009060605511, -0.2868825285858883, 0.33015892033775646, -0.04876210932260412, 0.2772480762449273, 0.042670417288542935, 0.08938907293945943, -0.035135756238576094, 0.04579664988743484, 0.0032998115363481796, -0.16332485062600444, 0.04862508607064292, 0.1681443696919208, 0.006884475700197774, 0.2301240690510001, -0.4942967024746171, -0.19089012481210949, 0.11811477266529803, 0.23328182257491312, 0.20125082526927845, -0.04643135648649676, -0.3227491527285198, 0.06283928218640779, -0.1265028541164244, -0.20758848840354435, -0.09094080787250086, 0.018104398704803827, 0.08447711492670096, -0.309145120021544, 0.09773336331311025, 0.06046112448287507, 0.0018726941116415617, -0.1258587371251595, -0.04108467004098521, -0.05130341537133382, 0.05086399417926084, 0.038138889848293424, 0.006975750735013239, 0.11470100596514449, -0.18064212925903694, -0.06828742263544547, 0.39105216432526185, -0.08121373934932706, -0.20964651412673688, 0.19456441724967016, -0.11397721691633035, -0.06196318502872856, 0.1706976051801783, 0.12020941210600238, 0.12025197024310105, -0.11155266953599557, 0.004826162102848716, -0.10510817796743491, 0.1256595993140843, 0.08665074716452836, -0.002865838062573682, 0.27085021541764337, 0.16686513129491032, 0.03979564071714617, 0.17547691799036488, -0.07109986564555265, -0.1816757140137876, -0.30391215896152224, -0.14511076626755917, -0.18540121296731135, 0.014145299982230523, -0.0244614956263512, -0.13825006987245983, 0.37366225525916535, 0.17121547996577105, 0.20642632073513437, 0.00182693953250061, 0.2590071648775943, 0.15598323980137999, 0.028725952794877486, 0.06645675702429, 0.2327954960382429, 0.10317297860277458, 0.07287613965423875, -0.25787281965951253, -0.0593047101671497, 0.08324910968280676] |
709.2133 | 3C 40 in Abell 194: can tail radio galaxies exist in a quiescent
cluster? | The nearby cluster Abell 194 hosts two luminous, distorted radio galaxies.
Both reside within the cluster's core region, being separated in projection by
only 100 kpc. It is often suggested that tailed radio galaxies such as these
reside in clusters that are under formation and are accreting new material from
their outskirts. In this paper we study the intriguing appearance of Abell 194,
and test whether the cluster and radio source dynamics are consistent with the
cluster formation/merger model. We analyse data from the XMM-Newton satellite
and previously unpublished observations with the Very Large Array (VLA), as
well as presenting new data from the Giant Metre-Wave Radio Telescope (GMRT).
The shape of the jets, and the lack of significant stripping of the galaxies'
interstellar media, indicate that the radio galaxies are not moving at the
large velocities they would have had if they were falling into the cluster from
its outskirts; galaxy velocities of <=300 km s^-1 are adequate instead. A
plausible scenario that could explain the observations is that the dynamics of
the cluster centre are relatively quiescent, with the dominant system of
massive galaxies being bound and orbiting the cluster centre of mass. For
plausible jet/plume speeds and densities and the galaxy dynamics implied by
this picture of the cluster, we show that the observed jet structures can be
explained without invoking a major cluster merger event.
| astro-ph | the nearby cluster abell 194 hosts two luminous distorted radio galaxies both reside within the clusters core region being separated in projection by only 100 kpc it is often suggested that tailed radio galaxies such as these reside in clusters that are under formation and are accreting new material from their outskirts in this paper we study the intriguing appearance of abell 194 and test whether the cluster and radio source dynamics are consistent with the cluster formationmerger model we analyse data from the xmmnewton satellite and previously unpublished observations with the very large array vla as well as presenting new data from the giant metrewave radio telescope gmrt the shape of the jets and the lack of significant stripping of the galaxies interstellar media indicate that the radio galaxies are not moving at the large velocities they would have had if they were falling into the cluster from its outskirts galaxy velocities of 300 km s1 are adequate instead a plausible scenario that could explain the observations is that the dynamics of the cluster centre are relatively quiescent with the dominant system of massive galaxies being bound and orbiting the cluster centre of mass for plausible jetplume speeds and densities and the galaxy dynamics implied by this picture of the cluster we show that the observed jet structures can be explained without invoking a major cluster merger event | [['the', 'nearby', 'cluster', 'abell', '194', 'hosts', 'two', 'luminous', 'distorted', 'radio', 'galaxies', 'both', 'reside', 'within', 'the', 'clusters', 'core', 'region', 'being', 'separated', 'in', 'projection', 'by', 'only', '100', 'kpc', 'it', 'is', 'often', 'suggested', 'that', 'tailed', 'radio', 'galaxies', 'such', 'as', 'these', 'reside', 'in', 'clusters', 'that', 'are', 'under', 'formation', 'and', 'are', 'accreting', 'new', 'material', 'from', 'their', 'outskirts', 'in', 'this', 'paper', 'we', 'study', 'the', 'intriguing', 'appearance', 'of', 'abell', 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'dynamics', 'of', 'the', 'cluster', 'centre', 'are', 'relatively', 'quiescent', 'with', 'the', 'dominant', 'system', 'of', 'massive', 'galaxies', 'being', 'bound', 'and', 'orbiting', 'the', 'cluster', 'centre', 'of', 'mass', 'for', 'plausible', 'jetplume', 'speeds', 'and', 'densities', 'and', 'the', 'galaxy', 'dynamics', 'implied', 'by', 'this', 'picture', 'of', 'the', 'cluster', 'we', 'show', 'that', 'the', 'observed', 'jet', 'structures', 'can', 'be', 'explained', 'without', 'invoking', 'a', 'major', 'cluster', 'merger', 'event']] | [-0.07945353882018033, 0.12547014320745145, -0.08790254502162594, 0.0981311932173332, -0.12863865193791918, -0.0463601458091535, 0.018138366836376513, 0.45698024984038876, -0.1533450004501096, -0.35601419431571785, 0.10266970642606445, -0.28934280548064195, -0.05608533088954797, 0.19490825433919906, 0.006716463031603171, -0.07160721167882018, 0.09833062600112615, -0.06565541418224147, -0.013030800620701147, -0.2624457711364155, 0.30167470255759976, 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709.2134 | Search for excited spin-3/2 and spin-1/2 leptons at linear colliders | We study the single production of excited spin-3/2 and spin-1/2 leptons in
future high energy $e^+e^-$ collisions. We calculate the production cross
section and decay widths of excited spin-3/2 and spin-1/2 leptons according to
their effective currents. We show that these possible new excited states can be
probed up to the mass $m^*$ ~ $\sqrt{s}$ depending on their couplings to
leptons and gauge bosons. We present the angular distributions of final state
particles as a measure to discriminate between an excited spin-3/2 and spin-1/2
lepton signal. The signals and the corresponding backgrounds are studied in
detail to obtain attainable limits on masses and couplings of excited leptons
at future linear colliders
| hep-ph | we study the single production of excited spin32 and spin12 leptons in future high energy ee collisions we calculate the production cross section and decay widths of excited spin32 and spin12 leptons according to their effective currents we show that these possible new excited states can be probed up to the mass m sqrts depending on their couplings to leptons and gauge bosons we present the angular distributions of final state particles as a measure to discriminate between an excited spin32 and spin12 lepton signal the signals and the corresponding backgrounds are studied in detail to obtain attainable limits on masses and couplings of excited leptons at future linear colliders | [['we', 'study', 'the', 'single', 'production', 'of', 'excited', 'spin32', 'and', 'spin12', 'leptons', 'in', 'future', 'high', 'energy', 'ee', 'collisions', 'we', 'calculate', 'the', 'production', 'cross', 'section', 'and', 'decay', 'widths', 'of', 'excited', 'spin32', 'and', 'spin12', 'leptons', 'according', 'to', 'their', 'effective', 'currents', 'we', 'show', 'that', 'these', 'possible', 'new', 'excited', 'states', 'can', 'be', 'probed', 'up', 'to', 'the', 'mass', 'm', 'sqrts', 'depending', 'on', 'their', 'couplings', 'to', 'leptons', 'and', 'gauge', 'bosons', 'we', 'present', 'the', 'angular', 'distributions', 'of', 'final', 'state', 'particles', 'as', 'a', 'measure', 'to', 'discriminate', 'between', 'an', 'excited', 'spin32', 'and', 'spin12', 'lepton', 'signal', 'the', 'signals', 'and', 'the', 'corresponding', 'backgrounds', 'are', 'studied', 'in', 'detail', 'to', 'obtain', 'attainable', 'limits', 'on', 'masses', 'and', 'couplings', 'of', 'excited', 'leptons', 'at', 'future', 'linear', 'colliders']] | [-0.09251140292141248, 0.33146693250177617, 0.009069893606515094, 0.16117609441280364, -0.029504523836922918, -0.15199864580803973, 0.004830469662027264, 0.3722889240153811, -0.19311419953168793, -0.3019306072732434, -0.048460745299234984, -0.3838663699613376, 0.09829139883460647, 0.09503716602709822, 0.15460945261981, 0.07469517694447528, 0.07052172399549321, 0.031473125813698224, -0.04975298781805164, -0.23100667402825573, 0.28194483057595787, 0.057219782613471826, 0.2105644122697413, 0.1320189498237927, 0.08195723423903639, 0.02269725191872567, 0.02592489085774022, -0.12269898622398615, -0.1450523947723427, 0.08280830465929202, 0.1979491379746998, 0.046747586103579535, 0.03675496195950969, -0.37841763995926486, -0.04711471950973977, 0.16244060023772447, 0.20229634129103613, 0.1356289809400385, -0.06173762463414195, -0.3772807314145294, 0.05684693499616432, -0.20945750334384766, -0.13113751695597206, -0.11834347162141719, -0.02291865038092841, -0.04052988638127731, -0.30803839570250025, 0.0980200961853949, -0.04562130781017582, -0.01767396460795267, -0.06423710766883398, -0.1935873177325861, -0.1269869099857963, 0.03956483945843171, 0.12691293346102941, -0.021626733914441004, 0.18418488877148115, -0.15987905779303135, -0.23338986600495198, 0.3661207365210761, -0.09994991684163158, -0.23008776256306604, 0.2057165308262814, -0.208378862504932, -0.12884359728883613, 0.10283370575317266, 0.309222012385726, 0.11351641629272226, -0.2058372402055697, 0.09114119392787953, 0.023981889913027937, 0.12375905313529074, 0.07994125633585182, 0.11803338529161093, 0.2779528793540191, 0.1486406425606798, -0.001536755348471078, 0.11298014695904303, -0.11478378386236728, -0.03772599224731411, -0.3700052580304063, -0.1679027066417885, -0.1239004567985169, 0.09965993897481398, 0.010700542603444774, -0.06503428096713668, 0.4251824585720897, 0.11855365600733256, 0.257914332783019, 0.007322655944153667, 0.25949786755849014, 0.1318898996920325, 0.016800600790884346, 0.06623862003060904, 0.3326155614785173, 0.20909751065244728, 0.07220761999487876, -0.2535077458078211, -0.048595620806074956, -0.0008963977748697455] |
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