id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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710.0753 | Modelling Bonds & Credit Default Swaps using a Structural Model with
Contagion | This paper develops a two-dimensional structural framework for valuing credit
default swaps and corporate bonds in the presence of default contagion.
Modelling the values of related firms as correlated geometric Brownian motions
with exponential default barriers, analytical formulae are obtained for both
credit default swap spreads and corporate bond yields. The credit dependence
structure is influenced by both a longer-term correlation structure as well as
by the possibility of default contagion. In this way, the model is able to
generate a diverse range of shapes for the term structure of credit spreads
using realistic values for input parameters.
| q-fin.PR math.PR | this paper develops a twodimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion modelling the values of related firms as correlated geometric brownian motions with exponential default barriers analytical formulae are obtained for both credit default swap spreads and corporate bond yields the credit dependence structure is influenced by both a longerterm correlation structure as well as by the possibility of default contagion in this way the model is able to generate a diverse range of shapes for the term structure of credit spreads using realistic values for input parameters | [['this', 'paper', 'develops', 'a', 'twodimensional', 'structural', 'framework', 'for', 'valuing', 'credit', 'default', 'swaps', 'and', 'corporate', 'bonds', 'in', 'the', 'presence', 'of', 'default', 'contagion', 'modelling', 'the', 'values', 'of', 'related', 'firms', 'as', 'correlated', 'geometric', 'brownian', 'motions', 'with', 'exponential', 'default', 'barriers', 'analytical', 'formulae', 'are', 'obtained', 'for', 'both', 'credit', 'default', 'swap', 'spreads', 'and', 'corporate', 'bond', 'yields', 'the', 'credit', 'dependence', 'structure', 'is', 'influenced', 'by', 'both', 'a', 'longerterm', 'correlation', 'structure', 'as', 'well', 'as', 'by', 'the', 'possibility', 'of', 'default', 'contagion', 'in', 'this', 'way', 'the', 'model', 'is', 'able', 'to', 'generate', 'a', 'diverse', 'range', 'of', 'shapes', 'for', 'the', 'term', 'structure', 'of', 'credit', 'spreads', 'using', 'realistic', 'values', 'for', 'input', 'parameters']] | [-0.07134564339696449, 0.08220101021652226, -0.047938310569722434, 0.1627335538137324, -0.08456479873964373, -0.13174830577146185, 0.08914691054295483, 0.45338899243090836, -0.2732403418239282, -0.2827698278754037, 0.10022732218946045, -0.27084896191764546, -0.1349150729270614, 0.15340123638482195, -0.04345578430885715, 0.021185543827952492, 0.033183469801751554, -0.03996418543844199, 0.00741401530935296, -0.20237232701216198, 0.2693287277005005, 0.08560385199130646, 0.2877911779820463, 0.050521913712739716, 0.07038279956358733, 0.055756858741265854, -0.03179412969502107, 0.017024778221657842, -0.15690039780123957, 0.1540696650401366, 0.25761624239147546, 0.08106595264481646, 0.35171920119794275, -0.4432077120837508, -0.21006177743862392, 0.052860918863467415, 0.05842619213009519, 0.10040053748050515, 0.0420237009565593, -0.28977339406858904, -0.03450050496980928, -0.3168174465833118, -0.12922750466042293, -0.07946099070190661, 0.054858455187355985, 0.06558911647227099, -0.3319055348847356, 0.09706659793701707, 0.009471602095243501, 0.07576367320321804, -0.037014771920476794, -0.11381507357962582, -0.08941685960732629, 0.16417691956882421, 0.09640799437492743, -0.06307490679853577, 0.18316581259880746, -0.13144978834256738, -0.17755487776891216, 0.3854757928555565, -0.061747854394952256, -0.16799516007420012, 0.06384116545205518, -0.10264935103311602, -0.10822248681239327, 0.11125922289068754, 0.1422511791924433, 0.0009824358858168125, -0.17356221105283298, 0.020032482871510163, -0.01968514930209791, 0.134662088957064, 0.08332569222916297, 0.0021035772634251993, 0.17560730636480967, 0.18616544166389776, 0.06722192749932256, 0.14797403420884714, -0.07169182545847583, -0.2182176108234467, -0.28485336395132604, -0.08368677116113202, -0.08564251968969724, 0.019796998529904047, -0.18121383736849697, -0.23636441995218702, 0.4127776098950785, 0.15170713617675463, 0.1718477900615152, 0.08212524007682745, 0.24334895998424833, 0.10592722106482644, 0.04363767076663825, 0.02552634945555949, 0.09942130338666695, 0.03731640400269962, 0.10219587469446753, -0.1464122836739395, 0.2907421968506687, -0.03526809779280911] |
710.0754 | Measuring the Tensor Polarization of Positronium | A method for measuring the tensor polarization in a positronium (Ps) beam is
proposed, which is based on the determination of the Ps lifetime as a function
of the orientation of a homogeneous magnetic field. The dependence of the
orthopositronum (o-Ps) lifetime on the angle between the directions of the
magnetic field and the tensor polarization of the Ps beam can be determined
from the results of measurements from two or more field orientations.
| cond-mat.mtrl-sci hep-ph | a method for measuring the tensor polarization in a positronium ps beam is proposed which is based on the determination of the ps lifetime as a function of the orientation of a homogeneous magnetic field the dependence of the orthopositronum ops lifetime on the angle between the directions of the magnetic field and the tensor polarization of the ps beam can be determined from the results of measurements from two or more field orientations | [['a', 'method', 'for', 'measuring', 'the', 'tensor', 'polarization', 'in', 'a', 'positronium', 'ps', 'beam', 'is', 'proposed', 'which', 'is', 'based', 'on', 'the', 'determination', 'of', 'the', 'ps', 'lifetime', 'as', 'a', 'function', 'of', 'the', 'orientation', 'of', 'a', 'homogeneous', 'magnetic', 'field', 'the', 'dependence', 'of', 'the', 'orthopositronum', 'ops', 'lifetime', 'on', 'the', 'angle', 'between', 'the', 'directions', 'of', 'the', 'magnetic', 'field', 'and', 'the', 'tensor', 'polarization', 'of', 'the', 'ps', 'beam', 'can', 'be', 'determined', 'from', 'the', 'results', 'of', 'measurements', 'from', 'two', 'or', 'more', 'field', 'orientations']] | [-0.15740097398799524, 0.17043815247637972, -0.0920820255087663, -0.03514564122481603, -0.004815522402729073, -0.03748582897401632, -0.01596636307259945, 0.3961400136045397, -0.27174352558508313, -0.31609488068122976, 0.06143337838217769, -0.20302933273352172, -0.030591897912042802, 0.21398762136072635, 0.09658214539187411, -0.003032681883044847, -0.000480073823096001, 0.0625416549905012, -0.1075030173085732, -0.1587903557523881, 0.3356859308399566, 0.08147246772040652, 0.32052047049295, 0.09153434890003441, 0.11123379120883876, 0.05175697498584855, -0.004411048925647589, 0.056480718291785616, -0.09029305384379543, 0.1260618919583216, 0.14163330620894693, 0.09708596818940077, 0.16932786434684713, -0.3946798297844521, -0.15056072658387154, 0.06509877935256043, 0.0703143914140863, 0.12765098357898477, -0.018795272409764426, -0.28476052486324965, 0.06775569138180924, -0.09353607981338179, -0.11148798589320369, -0.0001872303921167981, 0.01594878457429219, 0.05814350499733262, -0.2998188709304349, 0.07127854324979326, 0.01813977264020949, 0.06154886399689194, -0.10442741959011309, -0.1349240950729749, -0.017703553304484445, 0.08903539360322263, 0.09309184918027014, 0.0886966728362931, 0.15885381931949355, -0.15482090782909974, -0.1330120245198885, 0.37759655655348956, -0.09561308598375484, -0.1914720274201014, 0.07298917323669853, -0.18461204965739217, -0.015558824287599896, 0.14985158147724115, 0.1793790575346514, 0.17940570258420624, -0.10790611058792533, 0.021756556987832618, -0.015176447861100712, 0.2000702915470792, 0.06954489370221145, 0.03172871844256169, 0.22661309069252178, 0.17164648488827355, 0.06430550807551162, 0.10935353952275002, -0.16740259138407976, -0.05198046386446038, -0.29319140965705864, -0.189299015251741, -0.21823723685659774, 0.07438135514839565, -0.08257431883906327, -0.12088299912642943, 0.5083472155646919, 0.09663659626975248, 0.20248631168354608, -0.01223581614553265, 0.32759489496685057, 0.0993098233705259, 0.08447407080779133, -0.008489943071179194, 0.3048274426000218, 0.22539537970601797, 0.0946540591268711, -0.2820096620333011, 0.09115003944336347, -0.025150872875413257] |
710.0755 | Finite-size effects on the dynamics of the zero-range process | We study finite-size effects on the dynamics of a one-dimensional zero-range
process which shows a phase transition from a low-density disordered phase to a
high-density condensed phase. The current fluctuations in the steady state show
striking differences in the two phases. In the disordered phase, the variance
of the integrated current shows damped oscillations in time due to the motion
of fluctuations around the ring as a dissipating kinematic wave. In the
condensed phase, this wave cannot propagate through the condensate, and the
dynamics is dominated by the long-time relocation of the condensate from site
to site.
| cond-mat.stat-mech | we study finitesize effects on the dynamics of a onedimensional zerorange process which shows a phase transition from a lowdensity disordered phase to a highdensity condensed phase the current fluctuations in the steady state show striking differences in the two phases in the disordered phase the variance of the integrated current shows damped oscillations in time due to the motion of fluctuations around the ring as a dissipating kinematic wave in the condensed phase this wave cannot propagate through the condensate and the dynamics is dominated by the longtime relocation of the condensate from site to site | [['we', 'study', 'finitesize', 'effects', 'on', 'the', 'dynamics', 'of', 'a', 'onedimensional', 'zerorange', 'process', 'which', 'shows', 'a', 'phase', 'transition', 'from', 'a', 'lowdensity', 'disordered', 'phase', 'to', 'a', 'highdensity', 'condensed', 'phase', 'the', 'current', 'fluctuations', 'in', 'the', 'steady', 'state', 'show', 'striking', 'differences', 'in', 'the', 'two', 'phases', 'in', 'the', 'disordered', 'phase', 'the', 'variance', 'of', 'the', 'integrated', 'current', 'shows', 'damped', 'oscillations', 'in', 'time', 'due', 'to', 'the', 'motion', 'of', 'fluctuations', 'around', 'the', 'ring', 'as', 'a', 'dissipating', 'kinematic', 'wave', 'in', 'the', 'condensed', 'phase', 'this', 'wave', 'can', 'not', 'propagate', 'through', 'the', 'condensate', 'and', 'the', 'dynamics', 'is', 'dominated', 'by', 'the', 'longtime', 'relocation', 'of', 'the', 'condensate', 'from', 'site', 'to', 'site']] | [-0.18694172831898442, 0.24809087604778457, -0.11946179323392558, 0.03330980258710859, 0.04454351050247039, -0.042852835781986315, 0.042029375888701835, 0.3139890558371434, -0.2825401564299756, -0.21088479721576583, 0.07547352378308887, -0.3104504251814618, -0.1112010107394688, 0.1212692923691808, 0.045400099325164846, 0.018783094166606968, -0.002364140975631165, 0.023600884219061355, -0.0866216033084166, -0.1422821401014962, 0.29494985888298714, 0.02923608206364573, 0.3047866544790794, 0.04226175034228636, 0.042830073016895245, -0.03659306803471124, 0.053190339907851755, 0.018062148209927336, -0.11292130790299816, -0.02153625929424045, 0.212951032266648, -0.0190295985358178, 0.21926545968507322, -0.469180480424999, -0.24287965340178688, 0.1139396113528851, 0.1955886959307352, 0.1847987604382144, -0.07812631305197862, -0.3489217022433877, -0.056445968677099716, -0.15211083491603672, -0.16303235714856004, -0.014412650428070896, 0.022102108177709943, 0.042275328861492475, -0.210922722148766, 0.16534426991770768, 0.05588762637712442, 0.00392808370073611, -0.034444298528667004, -0.035998075041083655, -0.04823376833252153, 0.09183123214075303, 0.006754981009087677, 0.04958028662165779, 0.1628200289679273, -0.18423025518874353, -0.05952804251716529, 0.3966558968686328, -0.0927221379622969, -0.12086746304733109, 0.19295986019531075, -0.22906914009603943, -0.08043972845664438, 0.2239538200522716, 0.17633832813411646, 0.05574490480143957, -0.13499598370922006, 0.021811249978930632, 0.020939847423839954, 0.17512340284854278, -0.02013277284306835, 0.026589240783787504, 0.2760694955988806, 0.21337601605194564, 0.022442326192299796, 0.20308750463953737, -0.11569549713511856, -0.20319068371033183, -0.26302186950889167, -0.13691289234450277, -0.21188563758944523, 0.026038719095112708, -0.058575499284749956, -0.20097693823734109, 0.4463624410445289, 0.1814151583573536, 0.21100141814130605, -0.02904675086979203, 0.268584529512885, 0.10863011916600433, 0.017752848660611376, 0.06491493550129235, 0.2878244223871401, 0.13676030935995204, 0.15185345499538722, -0.2945706793772323, 0.04773544655086435, 0.03410943202218231] |
710.0756 | Quark-Gluon Plasma/Black Hole duality from Gauge/Gravity Correspondence | The Quark-Gluon Plasma (QGP) is the QCD phase of matter expected to be formed
at small proper-times in the collision of heavy-ions at high energy.
Experimental observations seem to favor a strongly coupled QCD plasma with the
hydrodynamic properties of a quasi-perfect fluid, i.e. rapid thermalization (or
isotropization) and small viscosity. The theoretical investigation of such
properties is not obvious, due to the the strong coupling. The Gauge/Gravity
correspondence provides a stimulating framework to explore the strong coupling
regime of gauge theories using the dual string description. After a brief
introduction to Gauge/Gravity duality, and among various existing studies, we
focus on challenging problems of QGP hydrodynamics, such as viscosity and
thermalization, in terms of gravitational duals of both the static and
relativistically evolving plasma. We show how a Black Hole geometry arises
naturally from the dual properties of a nearly perfect fluid and explore the
lessons and prospects one may draw for actual heavy ion collisions from the
Gauge/Gravity duality approach.
| hep-ph hep-th nucl-th | the quarkgluon plasma qgp is the qcd phase of matter expected to be formed at small propertimes in the collision of heavyions at high energy experimental observations seem to favor a strongly coupled qcd plasma with the hydrodynamic properties of a quasiperfect fluid ie rapid thermalization or isotropization and small viscosity the theoretical investigation of such properties is not obvious due to the the strong coupling the gaugegravity correspondence provides a stimulating framework to explore the strong coupling regime of gauge theories using the dual string description after a brief introduction to gaugegravity duality and among various existing studies we focus on challenging problems of qgp hydrodynamics such as viscosity and thermalization in terms of gravitational duals of both the static and relativistically evolving plasma we show how a black hole geometry arises naturally from the dual properties of a nearly perfect fluid and explore the lessons and prospects one may draw for actual heavy ion collisions from the gaugegravity duality approach | [['the', 'quarkgluon', 'plasma', 'qgp', 'is', 'the', 'qcd', 'phase', 'of', 'matter', 'expected', 'to', 'be', 'formed', 'at', 'small', 'propertimes', 'in', 'the', 'collision', 'of', 'heavyions', 'at', 'high', 'energy', 'experimental', 'observations', 'seem', 'to', 'favor', 'a', 'strongly', 'coupled', 'qcd', 'plasma', 'with', 'the', 'hydrodynamic', 'properties', 'of', 'a', 'quasiperfect', 'fluid', 'ie', 'rapid', 'thermalization', 'or', 'isotropization', 'and', 'small', 'viscosity', 'the', 'theoretical', 'investigation', 'of', 'such', 'properties', 'is', 'not', 'obvious', 'due', 'to', 'the', 'the', 'strong', 'coupling', 'the', 'gaugegravity', 'correspondence', 'provides', 'a', 'stimulating', 'framework', 'to', 'explore', 'the', 'strong', 'coupling', 'regime', 'of', 'gauge', 'theories', 'using', 'the', 'dual', 'string', 'description', 'after', 'a', 'brief', 'introduction', 'to', 'gaugegravity', 'duality', 'and', 'among', 'various', 'existing', 'studies', 'we', 'focus', 'on', 'challenging', 'problems', 'of', 'qgp', 'hydrodynamics', 'such', 'as', 'viscosity', 'and', 'thermalization', 'in', 'terms', 'of', 'gravitational', 'duals', 'of', 'both', 'the', 'static', 'and', 'relativistically', 'evolving', 'plasma', 'we', 'show', 'how', 'a', 'black', 'hole', 'geometry', 'arises', 'naturally', 'from', 'the', 'dual', 'properties', 'of', 'a', 'nearly', 'perfect', 'fluid', 'and', 'explore', 'the', 'lessons', 'and', 'prospects', 'one', 'may', 'draw', 'for', 'actual', 'heavy', 'ion', 'collisions', 'from', 'the', 'gaugegravity', 'duality', 'approach']] | [-0.11623961425150664, 0.20525665998596837, -0.13568179687933513, 0.09200872350225432, -0.07438107326419817, -0.12582456752266966, -0.018874300839264453, 0.31812457179932363, -0.24239711141225273, -0.26121879932988024, 0.04447080099949452, -0.27840883006560213, -0.0530716764372716, 0.12247127443293317, 0.0015353071539271853, 0.04032437215317731, 0.05428137156514474, 0.004297087405934746, -0.09897312711567523, -0.19460336572525125, 0.3116163757980376, 0.09217276490856836, 0.2933541039108402, 0.16299548091792307, 0.07453785592839761, -0.0012513605208009666, -0.02072498803946799, 0.06562625800753817, -0.14270568246901807, 0.061745493631288235, 0.24785624575416018, 0.08382703445673587, 0.21228647971077375, -0.46727710741537587, -0.25046067524063226, 0.043256023375570406, 0.11791200191932327, 0.15712640641464126, -0.08053536233736525, -0.23731125545124582, 0.04804016969937049, -0.20097200995610084, -0.14508767675013384, -0.05741497567843324, -0.005317018469393161, -0.011448735188704305, -0.2634835306355258, 0.08063745816140493, 0.03097279344248459, 0.014817377339680622, -0.04074952749044629, -0.04125495646493854, -0.01598951181779144, 0.034133793741614085, 0.11665481513935244, 0.0626603230793765, 0.1595863914490896, -0.2398134643531025, -0.09338791491923693, 0.426169390939636, -0.04679620608595418, -0.10968843245890314, 0.29211045251253787, -0.15838766623472358, -0.1200922779828011, 0.10766365111627282, 0.18252452752656406, 0.15256575380888893, -0.1301859075686446, 0.07813330790542503, -0.03466227319792925, 0.11275015649487524, 0.06366601728914696, 0.09049453201594498, 0.3351747023378625, 0.17367331619535423, -0.04786736214602435, 0.15173552967516352, 0.0004690149123492984, -0.11835916837415784, -0.3558964964036864, -0.09798243429718746, -0.13271235622879532, 0.07583606195714063, -0.1233430349113158, -0.151581704472824, 0.34331618983838935, 0.1509649079892336, 0.18668368380562758, -0.025820703740105217, 0.2623364424424959, 0.06504762105724234, -0.017377717344645112, 0.07240426988070715, 0.30843588474701034, 0.19192747011159858, 0.15567700625224798, -0.29771742906513404, -0.0260630062950867, 0.11963488186859055] |
710.0757 | The Cause of Photospheric and Helioseismic Responses to Solar Flares:
High-Energy Electrons or Protons? | Analysis of the hydrodynamic and helioseismic effects in the photosphere
during the solar flare of July 23, 2002, observed by Michelson Doppler Imager
(MDI) on SOHO, and high-energy images from RHESSI shows that these effects are
closely associated with sources of the hard X-ray emission, and that there are
no such effects in the centroid region of the flare gamma-ray emission. These
results demonstrate that contrary to expectations the hydrodynamic and
helioseismic responses (''sunquakes") are more likely to be caused by
accelerated electrons than by high-energy protons. A series of multiple
impulses of high-energy electrons forms a hydrodynamic source moving in the
photosphere with a supersonic speed. The moving source plays a critical role in
the formation of the anisotropic wave front of sunquakes.
| astro-ph | analysis of the hydrodynamic and helioseismic effects in the photosphere during the solar flare of july 23 2002 observed by michelson doppler imager mdi on soho and highenergy images from rhessi shows that these effects are closely associated with sources of the hard xray emission and that there are no such effects in the centroid region of the flare gammaray emission these results demonstrate that contrary to expectations the hydrodynamic and helioseismic responses sunquakes are more likely to be caused by accelerated electrons than by highenergy protons a series of multiple impulses of highenergy electrons forms a hydrodynamic source moving in the photosphere with a supersonic speed the moving source plays a critical role in the formation of the anisotropic wave front of sunquakes | [['analysis', 'of', 'the', 'hydrodynamic', 'and', 'helioseismic', 'effects', 'in', 'the', 'photosphere', 'during', 'the', 'solar', 'flare', 'of', 'july', '23', '2002', 'observed', 'by', 'michelson', 'doppler', 'imager', 'mdi', 'on', 'soho', 'and', 'highenergy', 'images', 'from', 'rhessi', 'shows', 'that', 'these', 'effects', 'are', 'closely', 'associated', 'with', 'sources', 'of', 'the', 'hard', 'xray', 'emission', 'and', 'that', 'there', 'are', 'no', 'such', 'effects', 'in', 'the', 'centroid', 'region', 'of', 'the', 'flare', 'gammaray', 'emission', 'these', 'results', 'demonstrate', 'that', 'contrary', 'to', 'expectations', 'the', 'hydrodynamic', 'and', 'helioseismic', 'responses', 'sunquakes', 'are', 'more', 'likely', 'to', 'be', 'caused', 'by', 'accelerated', 'electrons', 'than', 'by', 'highenergy', 'protons', 'a', 'series', 'of', 'multiple', 'impulses', 'of', 'highenergy', 'electrons', 'forms', 'a', 'hydrodynamic', 'source', 'moving', 'in', 'the', 'photosphere', 'with', 'a', 'supersonic', 'speed', 'the', 'moving', 'source', 'plays', 'a', 'critical', 'role', 'in', 'the', 'formation', 'of', 'the', 'anisotropic', 'wave', 'front', 'of', 'sunquakes']] | [-0.07048816201859154, 0.24076866183144552, -0.0539528244716489, 0.14827287309773027, -0.07048548802342866, -0.03073135340556262, -0.025706765323130022, 0.4294386459289179, -0.20755572221992957, -0.3491523306734199, 0.039160460815764964, -0.33582352135600824, -0.09352089922815081, 0.28213620550494883, -4.0255124810256904e-05, 0.0024321302809121627, 0.13320203411633208, -0.05421079431037088, -0.009462905523832887, -0.14002375317091542, 0.2811321291214441, 0.16034201067879855, 0.20870963143815677, -0.0005386167416168798, 0.061518876971076095, -0.06670832820612216, -0.0682196379601655, 0.003554021117217358, -0.03643681317272797, 0.05697995805061392, 0.19196858069288633, 0.08005329835483985, 0.2327312667433533, -0.4710630850956565, -0.2777932114418476, -0.0013083761347638023, 0.12762918706697923, -0.005779967064999284, -0.04466804408342972, -0.31727108921134667, -0.011765934583250313, -0.11320274124943441, -0.12083241671714331, 0.08146926732884059, 0.008376620954931564, 0.06054375201253401, -0.25864609383842757, 0.12132079484722307, 0.028905188009488367, 0.09681696114280532, -0.1103012117279333, -0.021624567524169483, -0.03993424227190835, 0.109469153039578, 0.11822880503924323, 0.07124968453295409, 0.16609696636442095, -0.12937862414401025, -0.11195153751290374, 0.39318233780983475, -0.049518990171383205, -0.006263831138400541, 0.18133733945808583, -0.24958455893060855, -0.1338170600694514, 0.25371480301292915, 0.15080138653584366, 0.057979222882779374, -0.13207794186253582, -0.020465784430158354, -0.02527267359666087, 0.15726562899221935, 0.09025395946622256, 0.022694743012130682, 0.2735644111620082, 0.0768095827107543, -0.0062778527968593185, 0.12785556034519216, -0.273230504708819, -0.04014644170961072, -0.286094539239721, -0.07759783362909671, -0.11485434775128059, 0.048193818274974605, -0.08158111614278413, -0.17790346664344636, 0.38415525168285614, 0.1705189759992326, 0.164092026125159, -0.06911817313389733, 0.3134184526880422, 0.10263524844025772, 0.0306100208582657, 0.16330186486424458, 0.347136243712157, 0.1654142452302509, 0.19057765315031452, -0.24266453116433695, 0.05112953888883273, 0.06133726360126128] |
710.0758 | Optical spectroscopy of Cyg X-1 | The star HDE 226868 known as an optical counterpart of the black hole
candidate Cyg X-1 has been observed in H_alpha region using spectrograph at
Ondrejov 2-m telescope. The orbital parameters are determined from HeI-line by
means of the author's method of Fourier disentangling. Preliminary results are
also presented of disentangling the H_alpha-line into a P-Cyg profile of the
(optical) primary and an emission profile of the circumstellar matter (and a
telluric component).
| astro-ph | the star hde 226868 known as an optical counterpart of the black hole candidate cyg x1 has been observed in h_alpha region using spectrograph at ondrejov 2m telescope the orbital parameters are determined from heiline by means of the authors method of fourier disentangling preliminary results are also presented of disentangling the h_alphaline into a pcyg profile of the optical primary and an emission profile of the circumstellar matter and a telluric component | [['the', 'star', 'hde', '226868', 'known', 'as', 'an', 'optical', 'counterpart', 'of', 'the', 'black', 'hole', 'candidate', 'cyg', 'x1', 'has', 'been', 'observed', 'in', 'h_alpha', 'region', 'using', 'spectrograph', 'at', 'ondrejov', '2m', 'telescope', 'the', 'orbital', 'parameters', 'are', 'determined', 'from', 'heiline', 'by', 'means', 'of', 'the', 'authors', 'method', 'of', 'fourier', 'disentangling', 'preliminary', 'results', 'are', 'also', 'presented', 'of', 'disentangling', 'the', 'h_alphaline', 'into', 'a', 'pcyg', 'profile', 'of', 'the', 'optical', 'primary', 'and', 'an', 'emission', 'profile', 'of', 'the', 'circumstellar', 'matter', 'and', 'a', 'telluric', 'component']] | [-0.06331921283452457, 0.03835150800869984, -0.1206700369374643, 0.04180841576832701, -0.12361619238492469, -0.13520670421159184, -0.014309933828845831, 0.42653935588896275, -0.17018302094230664, -0.3318467025290912, 0.11265733113191025, -0.3248626723046034, -0.05833326286347714, 0.2376167340282823, -0.015730282413514173, 0.006890978270643194, 0.0601297250988198, -0.030485662730069647, -0.03365054267170039, -0.20244853678618518, 0.3070944150988485, 0.11379603503770391, 0.1285955734078733, -0.034253683715114294, 0.0780961462624476, -0.03864650150865946, -0.09175219192681178, -0.04426410099373422, -0.1110254073790996, 0.04584486381163899, 0.1862344339352206, 0.1383955445580027, 0.1658116594534105, -0.2980323519662652, -0.24308635879465393, 0.026887480197408775, 0.18166611045205466, -0.006921817037001462, -0.05381331305531129, -0.3258493592516637, 0.044940276202601444, -0.20327093111659386, -0.1887325750808166, 0.03622673257765636, 0.04299562880244683, 0.020370686715337594, -0.22969249971735645, 0.055311535166586344, 0.0007201072113903266, 0.0954095588498552, -0.1998160585144561, -0.13047865351242288, -0.08572056727044441, 0.10273122622198622, 0.034819546365507055, 0.04187047932769211, 0.09434265754854596, -0.13279939196269278, -0.037310486311801304, 0.379295517047736, -0.11716002076339553, 0.014672086828693249, 0.1567373043319709, -0.20358493217778667, -0.16044131326030048, 0.17362529430276072, 0.10028157774096644, 0.1635101126756152, -0.17288678222086648, 0.04677546802665514, -0.03892601526696497, 0.2304324940581557, 0.058978207976701606, 0.08868839124768553, 0.3379328202351298, 0.08596140989692698, -0.03987567268416915, 0.15994613048699224, -0.2791969825343137, 0.0009328882983872588, -0.237685071094565, -0.12615404844621825, -0.19256349629394606, 0.029424819358276913, -0.11304803151091311, -0.09823505952298431, 0.37646035633613945, 0.03077535757230936, 0.1778288711990479, -0.06526177939565354, 0.3158764511766568, 0.13007777819613284, 0.07050371074288243, 0.09068387413633541, 0.3365583692900312, 0.17910081025173652, 0.15090173123483086, -0.2711477618316897, 0.04280546593519164, 0.056118109978368164] |
710.0759 | Geometrical tests of cosmological models. I. Probing dark energy using
the kinematics of high-redshift galaxies | We suggest to use the observationally measured and theoretically justified
correlation between size and rotational velocity of galactic discs as a viable
method to select a set of high redshift standard rods which may be used to
explore the dark energy content of the universe via the classical
angular-diameter test. Here we explore a new strategy for an optimal
implementation of this test. We propose to use the rotation speed of high
redshift galaxies as a standard size indicator and show how high resolution
multi-object spectroscopy and ACS/HST high quality spatial images, may be
combined to measure the amplitude of the dark energy density parameter, or to
constrain the cosmic equation of state parameter for a smooth dark energy
component. We evaluate how systematics may affect the proposed tests, and find
that a linear standard rod evolution, causing galaxy dimensions to be up to 30%
smaller at z=1.5, can be uniquely diagnosed, and will minimally bias the
confidence level contours in the [Omega_Q, w] plane. Finally, we show how to
derive, without a priori knowing the specific functional form of disc
evolution, a cosmology-evolution diagram with which it is possible to establish
a mapping between different cosmological models and the amount of galaxy
disc/luminosity evolution expected at a given redshift.
| astro-ph | we suggest to use the observationally measured and theoretically justified correlation between size and rotational velocity of galactic discs as a viable method to select a set of high redshift standard rods which may be used to explore the dark energy content of the universe via the classical angulardiameter test here we explore a new strategy for an optimal implementation of this test we propose to use the rotation speed of high redshift galaxies as a standard size indicator and show how high resolution multiobject spectroscopy and acshst high quality spatial images may be combined to measure the amplitude of the dark energy density parameter or to constrain the cosmic equation of state parameter for a smooth dark energy component we evaluate how systematics may affect the proposed tests and find that a linear standard rod evolution causing galaxy dimensions to be up to 30 smaller at z15 can be uniquely diagnosed and will minimally bias the confidence level contours in the omega_q w plane finally we show how to derive without a priori knowing the specific functional form of disc evolution a cosmologyevolution diagram with which it is possible to establish a mapping between different cosmological models and the amount of galaxy discluminosity evolution expected at a given redshift | [['we', 'suggest', 'to', 'use', 'the', 'observationally', 'measured', 'and', 'theoretically', 'justified', 'correlation', 'between', 'size', 'and', 'rotational', 'velocity', 'of', 'galactic', 'discs', 'as', 'a', 'viable', 'method', 'to', 'select', 'a', 'set', 'of', 'high', 'redshift', 'standard', 'rods', 'which', 'may', 'be', 'used', 'to', 'explore', 'the', 'dark', 'energy', 'content', 'of', 'the', 'universe', 'via', 'the', 'classical', 'angulardiameter', 'test', 'here', 'we', 'explore', 'a', 'new', 'strategy', 'for', 'an', 'optimal', 'implementation', 'of', 'this', 'test', 'we', 'propose', 'to', 'use', 'the', 'rotation', 'speed', 'of', 'high', 'redshift', 'galaxies', 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710.076 | Geometrical tests of cosmological models. II. Calibration of rotational
widths and disc scaling relations | This series of papers is dedicated to a new technique to select galaxies that
can act as standard rods and standard candles in order to perform geometrical
tests on large samples of high redshift galaxies to constrain different
cosmological parameters. The goals of this paper are (1) to compare different
rotation indicators in order to understand the relation between rotation
velocities extracted from observations of the Halpha line and the [OII]3727
line, and (2) determine the scaling relations between physical size, surface
brightness and magnitude of galaxies and their rotation velocity using the
SFI++, a large catalog of nearby galaxies observed at I-band. A good
correlation is observed between the rotation curve-derived velocities of the
Halpha and [OII] observations, as well as between those calculated from
velocity histograms, justifying the direct comparison of velocities measured
from Halpha rotation curves in nearby galaxies and from [OII] line widths at
higher redshifts. To provide calibration for the geometrical tests, we give
expressions for the different scaling relations between properties of galaxies
(size, surface brightness, magnitude) and their rotation speeds. Apart from the
Tully-Fisher relation, we derive the size-rotation velocity and surface
brightness-rotation velocity relations with unprecedentedly small scatters. We
show how the best size-rotation velocity relation is derived when size is
estimated not from disc scale lengths but from the isophotal diameter r23.5,
once these have been corrected for inclination and extinction effects.
| astro-ph | this series of papers is dedicated to a new technique to select galaxies that can act as standard rods and standard candles in order to perform geometrical tests on large samples of high redshift galaxies to constrain different cosmological parameters the goals of this paper are 1 to compare different rotation indicators in order to understand the relation between rotation velocities extracted from observations of the halpha line and the oii3727 line and 2 determine the scaling relations between physical size surface brightness and magnitude of galaxies and their rotation velocity using the sfi a large catalog of nearby galaxies observed at iband a good correlation is observed between the rotation curvederived velocities of the halpha and oii observations as well as between those calculated from velocity histograms justifying the direct comparison of velocities measured from halpha rotation curves in nearby galaxies and from oii line widths at higher redshifts to provide calibration for the geometrical tests we give expressions for the different scaling relations between properties of galaxies size surface brightness magnitude and their rotation speeds apart from the tullyfisher relation we derive the sizerotation velocity and surface brightnessrotation velocity relations with unprecedentedly small scatters we show how the best sizerotation velocity relation is derived when size is estimated not from disc scale lengths but from the isophotal diameter r235 once these have been corrected for inclination and extinction effects | [['this', 'series', 'of', 'papers', 'is', 'dedicated', 'to', 'a', 'new', 'technique', 'to', 'select', 'galaxies', 'that', 'can', 'act', 'as', 'standard', 'rods', 'and', 'standard', 'candles', 'in', 'order', 'to', 'perform', 'geometrical', 'tests', 'on', 'large', 'samples', 'of', 'high', 'redshift', 'galaxies', 'to', 'constrain', 'different', 'cosmological', 'parameters', 'the', 'goals', 'of', 'this', 'paper', 'are', '1', 'to', 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710.0761 | Geometrical tests of cosmological models. III. The cosmology-evolution
diagram at z=1 | The rotational velocity of distant galaxies, when interpreted as a size
(luminosity) indicator, may be used as a tool to select high redshift standard
rods (candles) and probe world models and galaxy evolution via the classical
angular diameter-redshift or Hubble diagram tests. We implement the proposed
testing strategy using a sample of 30 rotators spanning the redshift range
0.2<z<1 with high resolution spectra and images obtained by the VIMOS/VLT Deep
Redshift Survey (VVDS) and the Great Observatories Origins Deep Survey (GOODs).
We show that by applying at the same time the angular diameter-redshift and
Hubble diagrams to the same sample of objects (i.e. velocity selected galactic
discs) one can derive a characteristic chart, the cosmology-evolution diagram,
mapping the relation between global cosmological parameters and local
structural parameters of discs such as size and luminosity. This chart allows
to put constraints on cosmological parameters when general prior information
about discs evolution is available. In particular, by assuming that equally
rotating large discs cannot be less luminous at z=1 than at present (M(z=1) <
M(0)), we find that a flat matter dominated cosmology (Omega_m=1) is excluded
at a confidence level of 2sigma and an open cosmology with low mass density
(Omega_m = 0.3) and no dark energy contribution is excluded at a confidence
level greater than 1 sigma. Inversely, by assuming prior knowledge about the
cosmological model, the cosmology-evolution diagram can be used to gain useful
insights about the redshift evolution of the structural parameters of baryonic
discs hosted in dark matter halos of nearly equal masses.
| astro-ph | the rotational velocity of distant galaxies when interpreted as a size luminosity indicator may be used as a tool to select high redshift standard rods candles and probe world models and galaxy evolution via the classical angular diameterredshift or hubble diagram tests we implement the proposed testing strategy using a sample of 30 rotators spanning the redshift range 02z1 with high resolution spectra and images obtained by the vimosvlt deep redshift survey vvds and the great observatories origins deep survey goods we show that by applying at the same time the angular diameterredshift and hubble diagrams to the same sample of objects ie velocity selected galactic discs one can derive a characteristic chart the cosmologyevolution diagram mapping the relation between global cosmological parameters and local structural parameters of discs such as size and luminosity this chart allows to put constraints on cosmological parameters when general prior information about discs evolution is available in particular by assuming that equally rotating large discs cannot be less luminous at z1 than at present mz1 m0 we find that a flat matter dominated cosmology omega_m1 is excluded at a confidence level of 2sigma and an open cosmology with low mass density omega_m 03 and no dark energy contribution is excluded at a confidence level greater than 1 sigma inversely by assuming prior knowledge about the cosmological model the cosmologyevolution diagram can be used to gain useful insights about the redshift evolution of the structural parameters of baryonic discs hosted in dark matter halos of nearly equal masses | [['the', 'rotational', 'velocity', 'of', 'distant', 'galaxies', 'when', 'interpreted', 'as', 'a', 'size', 'luminosity', 'indicator', 'may', 'be', 'used', 'as', 'a', 'tool', 'to', 'select', 'high', 'redshift', 'standard', 'rods', 'candles', 'and', 'probe', 'world', 'models', 'and', 'galaxy', 'evolution', 'via', 'the', 'classical', 'angular', 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'matter', 'halos', 'of', 'nearly', 'equal', 'masses']] | [-0.0646200406000666, 0.10916690697775934, -0.098513706303809, 0.15017107813876757, -0.12126257672644562, -0.09586484190776001, 0.04615840384379589, 0.38702690352505376, -0.18265513242903375, -0.3854426018789727, 0.06772617837727041, -0.24890436653123493, 0.007802578599906339, 0.1987569538231845, 0.001393497517063713, -0.009752369012771977, 0.02818299162941488, -0.051266095041492474, -0.06346338054808519, -0.29094516317334335, 0.2987673692350007, 0.09674151928698747, 0.20510813490241, -0.06631953260592616, 0.11057172311477274, -0.05903444835905118, -0.07145748686794516, 0.021014297092075758, -0.22704611513383477, 0.013395629241591385, 0.2535395632594624, 0.14361467193848942, 0.23460038634488292, -0.324164457975971, -0.19834619683025795, 0.12685657391074323, 0.19869893863465887, 0.07965173225218555, -0.02825634168569558, -0.2733979682095732, 0.05510019318462007, -0.1564273519143315, -0.1574310982901706, 0.006849311660283168, 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710.0762 | On the seismic age of the Sun | We use low-degree acoustic modes obtained by the BiSON to estimate the
main-sequence age $t_\odot$ of the Sun. The calibration is accomplished by
linearizing the deviations from a standard solar model the seismic frequencies
of which are close to those of the Sun. Formally, we obtain the preliminary
value $t_\odot=4.68\pm0.02 $Gy, coupled with an initial heavy-element abundance
$Z=0.0169\pm0.0005$. The quoted standard errors, which are not independent, are
upper bounds implied under the assumption that the standard errors in the
observed frequencies are independent.
| astro-ph | we use lowdegree acoustic modes obtained by the bison to estimate the mainsequence age t_odot of the sun the calibration is accomplished by linearizing the deviations from a standard solar model the seismic frequencies of which are close to those of the sun formally we obtain the preliminary value t_odot468pm002 gy coupled with an initial heavyelement abundance z00169pm00005 the quoted standard errors which are not independent are upper bounds implied under the assumption that the standard errors in the observed frequencies are independent | [['we', 'use', 'lowdegree', 'acoustic', 'modes', 'obtained', 'by', 'the', 'bison', 'to', 'estimate', 'the', 'mainsequence', 'age', 't_odot', 'of', 'the', 'sun', 'the', 'calibration', 'is', 'accomplished', 'by', 'linearizing', 'the', 'deviations', 'from', 'a', 'standard', 'solar', 'model', 'the', 'seismic', 'frequencies', 'of', 'which', 'are', 'close', 'to', 'those', 'of', 'the', 'sun', 'formally', 'we', 'obtain', 'the', 'preliminary', 'value', 't_odot468pm002', 'gy', 'coupled', 'with', 'an', 'initial', 'heavyelement', 'abundance', 'z00169pm00005', 'the', 'quoted', 'standard', 'errors', 'which', 'are', 'not', 'independent', 'are', 'upper', 'bounds', 'implied', 'under', 'the', 'assumption', 'that', 'the', 'standard', 'errors', 'in', 'the', 'observed', 'frequencies', 'are', 'independent']] | [-0.0671359789500266, 0.18083172964875696, -0.04344964965518253, 0.09830578152854916, -0.062030146687498525, -0.04119781523735987, 0.07463207938075986, 0.33615253398907774, -0.22829363120857765, -0.35030527251922056, 0.12515091053698857, -0.2790970109909037, -0.06706979039288988, 0.23274190364876923, -0.08202480679998796, 0.04264377789819084, 0.10985681272031349, 0.06292981913681199, -0.07980950997372008, -0.2304099392099881, 0.2513010374954499, 0.06417128645504515, 0.22430008353973038, -0.09626005214342939, 0.00838360154748331, -0.0992681196672313, -0.0498202136821217, -0.0322785688733774, -0.15403577898397974, 0.12655682721531686, 0.18489616653985447, 0.12344565856637703, 0.19231355833004654, -0.3972417979190747, -0.20322435287137827, 0.08779282534472001, 0.09240972424316922, 0.09259110320370967, 0.0028481814136475693, -0.29686114102326056, 0.08672953335522318, -0.10507313264706344, -0.1569396551054569, 0.04745011517410109, -0.0146417566632599, 0.02004769338685789, -0.3202128373948788, 0.13881764179210604, 0.030016758444684523, 0.09542695054874963, -0.06997372648092332, -0.1977768451159383, -0.036852935754498585, 0.14138633819342947, 0.08813776520374059, -0.0019632529605318, 0.14311930215285149, -0.052355944811377994, -0.040071967943215075, 0.36631016292965707, -0.14146299292275935, -0.15396546944975853, 0.15584167532254883, -0.1585397365514511, -0.09743760201367146, 0.09775846478540773, 0.12195739842215438, 0.06422654692267563, -0.19853571360861813, 0.051503336574468345, -0.033715943047017964, 0.1870235212745122, 0.08869099990683205, 0.003069079348840463, 0.2210968641081342, 0.10067282391735065, 0.03057095068104473, 0.043745375962720975, -0.14768125757827988, -0.05894410625146127, -0.30365030987211217, -0.038979279090086985, -0.12707666877979112, 0.03216170556688779, -0.13154970889014225, -0.14747406795109266, 0.3745014930580869, 0.18072734525956122, 0.19530068144754129, 0.08037291096960321, 0.2915042800667845, 0.17757791310640764, 0.07818185273603892, 0.10747601041846254, 0.3746040811026354, 0.16207077100666034, 0.05822333047327436, -0.20377618610502485, 0.08422176155296189, 0.046826937385363344] |
710.0763 | Small Scale Energy Cascade of the Solar Wind Turbulence | Magnetic fluctuations in the solar wind are distributed according to
Kolmogorov's power law $f^{-5/3}$ below the ion cyclotron frequency $f_{ci}$.
Above this frequency, the observed steeper power law is usually interpreted in
two different ways: a dissipative range of the solar wind turbulence or another
turbulent cascade, the nature of which is still an open question. Using the
Cluster magnetic data we show that after the spectral break the intermittency
increases toward higher frequencies, indicating the presence of non-linear
interactions inherent to a new inertial range and not to the dissipative range.
At the same time the level of compressible fluctuations raises. We show that
the energy transfer rate and intermittency are sensitive to the level of
compressibility of the magnetic fluctuations within the small scale inertial
range. We conjecture that the time needed to establish this inertial range is
shorter than the eddy-turnover time, and is related to dispersive effects. A
simple phenomenological model, based on the compressible Hall MHD, predicts the
magnetic spectrum $\sim k^{-7/3+2\alpha}$, which depends on the degree of
plasma compression $\alpha$.
| astro-ph | magnetic fluctuations in the solar wind are distributed according to kolmogorovs power law f53 below the ion cyclotron frequency f_ci above this frequency the observed steeper power law is usually interpreted in two different ways a dissipative range of the solar wind turbulence or another turbulent cascade the nature of which is still an open question using the cluster magnetic data we show that after the spectral break the intermittency increases toward higher frequencies indicating the presence of nonlinear interactions inherent to a new inertial range and not to the dissipative range at the same time the level of compressible fluctuations raises we show that the energy transfer rate and intermittency are sensitive to the level of compressibility of the magnetic fluctuations within the small scale inertial range we conjecture that the time needed to establish this inertial range is shorter than the eddyturnover time and is related to dispersive effects a simple phenomenological model based on the compressible hall mhd predicts the magnetic spectrum sim k732alpha which depends on the degree of plasma compression alpha | [['magnetic', 'fluctuations', 'in', 'the', 'solar', 'wind', 'are', 'distributed', 'according', 'to', 'kolmogorovs', 'power', 'law', 'f53', 'below', 'the', 'ion', 'cyclotron', 'frequency', 'f_ci', 'above', 'this', 'frequency', 'the', 'observed', 'steeper', 'power', 'law', 'is', 'usually', 'interpreted', 'in', 'two', 'different', 'ways', 'a', 'dissipative', 'range', 'of', 'the', 'solar', 'wind', 'turbulence', 'or', 'another', 'turbulent', 'cascade', 'the', 'nature', 'of', 'which', 'is', 'still', 'an', 'open', 'question', 'using', 'the', 'cluster', 'magnetic', 'data', 'we', 'show', 'that', 'after', 'the', 'spectral', 'break', 'the', 'intermittency', 'increases', 'toward', 'higher', 'frequencies', 'indicating', 'the', 'presence', 'of', 'nonlinear', 'interactions', 'inherent', 'to', 'a', 'new', 'inertial', 'range', 'and', 'not', 'to', 'the', 'dissipative', 'range', 'at', 'the', 'same', 'time', 'the', 'level', 'of', 'compressible', 'fluctuations', 'raises', 'we', 'show', 'that', 'the', 'energy', 'transfer', 'rate', 'and', 'intermittency', 'are', 'sensitive', 'to', 'the', 'level', 'of', 'compressibility', 'of', 'the', 'magnetic', 'fluctuations', 'within', 'the', 'small', 'scale', 'inertial', 'range', 'we', 'conjecture', 'that', 'the', 'time', 'needed', 'to', 'establish', 'this', 'inertial', 'range', 'is', 'shorter', 'than', 'the', 'eddyturnover', 'time', 'and', 'is', 'related', 'to', 'dispersive', 'effects', 'a', 'simple', 'phenomenological', 'model', 'based', 'on', 'the', 'compressible', 'hall', 'mhd', 'predicts', 'the', 'magnetic', 'spectrum', 'sim', 'k732alpha', 'which', 'depends', 'on', 'the', 'degree', 'of', 'plasma', 'compression', 'alpha']] | [-0.16795496499144483, 0.23319756094409466, -0.039028571481380246, 0.08550372863745039, -0.047403840358829365, -0.09031003573240348, -0.009226275424622855, 0.3073478955829024, -0.307120595025648, -0.3263300818273391, 0.031130497642236108, -0.22390478870151673, -0.03696455109741367, 0.23313679907674334, -0.011633016652127877, 0.041857226805269036, -0.011466843676191336, 0.008120683332284292, -0.02405499899960605, -0.13682322776822867, 0.30933144225755, 0.13631888866242578, 0.2885831843890335, 0.06038167612793074, 0.0810218175756745, -0.08420529841290166, 0.00410154405927778, 0.019700420726966796, -0.123639423853322, 0.04637602703738155, 0.18885566046509636, 0.018320252057753676, 0.27312476297669197, -0.40616974677293743, -0.2554410532553113, 0.06456757908427403, 0.15446170866047834, 0.08348695153300918, -0.0018838935788592387, -0.22666306966037927, 0.0971591276887419, -0.15764070026271765, -0.13387566303363305, -0.012763943564984412, 0.0370658918112602, 0.04414034826445511, -0.27607184480782065, 0.17488052721413644, 0.08593746627702367, 0.07399470156497569, -0.10041414198583398, -0.056794649404848276, -0.016025554344603985, 0.09379926036599082, 0.08962205844133793, 0.01420622478585808, 0.18876754277621277, -0.12484985712150262, -0.04154046573247975, 0.40683858281793606, -0.0602193035218957, -0.11851221863608594, 0.20349546033894408, -0.2221341060324647, -0.10555024957367963, 0.16266634798442794, 0.1662159693753882, 0.05470713548238146, -0.07991651671700416, 0.025280562731579224, -0.03021028426665834, 0.23158498486981413, 0.05425663558022258, 0.05115422243038299, 0.22172620887439912, 0.1665217081116962, 0.0540969746733277, 0.09767105609010276, -0.13802490268777734, -0.08370974014416852, -0.2831387719589061, -0.09344658597329653, -0.16962912376306352, 0.06907528593218631, -0.09963232267692473, -0.15896751875079226, 0.4147153434386455, 0.2062482644279284, 0.1851936811019249, 0.048714516348548065, 0.3006397998442167, 0.18641642969230127, 0.04146921274990871, 0.12198232764501296, 0.2849958309925151, 0.1263428992650675, 0.1830502910079199, -0.2673358814416175, 0.03186273704357873, 0.03490281541532055] |
710.0764 | On the conformal anomaly of k-strings | We discuss the long distance behaviour of the flux tube associated to baryon
vertices and argue that, if the gauge system admits stable k-strings, the
conformal field theory describing this string in the IR has conformal anomaly
c=(d-2)\sigma_k/\sigma, where \sigma_k is the k-string tension and \sigma that
of the fundamental representation. We check this result in a 3D Z_4 gauge model
at finite temperature, where a string effect directly related to "c" can be
clearly identified.
| hep-lat | we discuss the long distance behaviour of the flux tube associated to baryon vertices and argue that if the gauge system admits stable kstrings the conformal field theory describing this string in the ir has conformal anomaly cd2sigma_ksigma where sigma_k is the kstring tension and sigma that of the fundamental representation we check this result in a 3d z_4 gauge model at finite temperature where a string effect directly related to c can be clearly identified | [['we', 'discuss', 'the', 'long', 'distance', 'behaviour', 'of', 'the', 'flux', 'tube', 'associated', 'to', 'baryon', 'vertices', 'and', 'argue', 'that', 'if', 'the', 'gauge', 'system', 'admits', 'stable', 'kstrings', 'the', 'conformal', 'field', 'theory', 'describing', 'this', 'string', 'in', 'the', 'ir', 'has', 'conformal', 'anomaly', 'cd2sigma_ksigma', 'where', 'sigma_k', 'is', 'the', 'kstring', 'tension', 'and', 'sigma', 'that', 'of', 'the', 'fundamental', 'representation', 'we', 'check', 'this', 'result', 'in', 'a', '3d', 'z_4', 'gauge', 'model', 'at', 'finite', 'temperature', 'where', 'a', 'string', 'effect', 'directly', 'related', 'to', 'c', 'can', 'be', 'clearly', 'identified']] | [-0.15115593397989868, 0.1910821643937379, -0.08113722657707209, 0.0909542468857641, -0.0796186452669402, -0.1534950650110841, 0.016707505265561244, 0.3401541596154372, -0.2559867563098669, -0.24445000427464644, 0.07201221404286723, -0.26765835147351025, -0.13970729040602842, 0.06675729307966928, -0.030135328844189645, -0.0063360171082119145, -0.011765927970409394, 0.1254007527884096, -0.0787917866744101, -0.22386525355900327, 0.31839437250668806, 0.0029529232593874136, 0.27435284197330473, 0.11636794682902594, 0.10439811925558994, -0.03594970415346324, 0.0017664146795868874, 0.07382205922156572, -0.13932145932786322, 0.047416714395706855, 0.2238515344262123, 0.06621018311629692, 0.10808971803635359, -0.4031071402877569, -0.23838663099333643, 0.12266401351119081, 0.1643014720454812, 0.12238408096134662, 0.005694882702082396, -0.24948170192539693, 0.11481819769367575, -0.12661603960519036, -0.16789874910376967, -0.031720514111220836, 0.056019016400290035, -0.09433796015568077, -0.22115960491200287, 0.07454123097782334, 0.01198356658530732, 0.042236811069694034, -0.0227997500449419, -0.06466505217521142, -0.07030734244113167, 0.07892969374855359, 0.14099295900048067, 0.15508497884497047, 0.10917638070881366, -0.16778658656403422, -0.08619000816407303, 0.38482263272007305, -0.10508427414732675, -0.19447244202097258, 0.1420381503459066, -0.1551569784556826, -0.1901689533640941, 0.10116162781914075, 0.09208876060942808, 0.0863957874684517, -0.1222486346711715, 0.19950956747401505, -0.07122384220361709, 0.15286860415712, 0.07072403236602744, 0.005911405955751737, 0.2790258923607568, 0.11925024957085649, 0.015158399573216836, 0.13294194585178049, -0.06188683930862074, -0.061593685305366914, -0.4120547434439262, -0.1394301899150014, -0.14350426942110062, 0.10285404458642006, -0.13138385455395715, -0.18867910898290574, 0.3712510887533426, 0.14403361182465838, 0.1962594327578942, 0.05215636453280846, 0.1902410215139389, 0.12905905472735563, 0.09521923319281389, 0.0703423940949142, 0.21163119638959565, 0.16861887524525324, 0.058476627776399254, -0.3001844832363228, -0.0930651359539479, 0.14777287188917398] |
710.0765 | Photometric Observations of Supernova 2002hh | CCD VRI photometry is presented for SN 2002hh from 14 days after the outburst
till day 347. SN 2002hh appears to be normal type IIP supernova regarding both
luminosity and the shape of the light curve, which is similar to SN 1999gi.
| astro-ph | ccd vri photometry is presented for sn 2002hh from 14 days after the outburst till day 347 sn 2002hh appears to be normal type iip supernova regarding both luminosity and the shape of the light curve which is similar to sn 1999gi | [['ccd', 'vri', 'photometry', 'is', 'presented', 'for', 'sn', '2002hh', 'from', '14', 'days', 'after', 'the', 'outburst', 'till', 'day', '347', 'sn', '2002hh', 'appears', 'to', 'be', 'normal', 'type', 'iip', 'supernova', 'regarding', 'both', 'luminosity', 'and', 'the', 'shape', 'of', 'the', 'light', 'curve', 'which', 'is', 'similar', 'to', 'sn', '1999gi']] | [0.06749827451338726, 0.04749364875966594, -0.125082733020896, 0.076134964674046, -0.17347453393518836, -0.21246152912222205, 0.09776415729096957, 0.49309920457502204, -0.15771693820577293, -0.29334690004941966, 0.15058699955365487, -0.390278570110067, -0.009411076527266275, 0.2721111550927162, -0.14690827618220023, -0.0744172190094278, 0.18674905660251775, -0.0821761501332124, -0.13185078005439468, -0.4165003403045592, 0.1758331541260261, 0.014839738917847475, 0.18322619636143958, -0.09306718293754827, 0.03844088485874679, -0.06351303396790865, -0.06862030479879606, -0.1367648650138151, -0.12070643121287936, -0.06536202207540295, 0.18342246426098946, 0.18849431075865314, 0.0822268704928103, -0.29706222954250516, -0.1876753170176276, 0.09143349468441946, 0.16599670890718699, 0.011812052986074593, 0.020384290733740533, -0.26266954812897547, 0.0476355742596622, -0.19686077295669488, -0.2246016126702584, 0.19930838284718838, 0.11869335460609623, 0.014088755207402366, -0.14993943839744178, 0.15271953187350715, -0.04469288663849944, 0.14931629921886183, -0.1455341875553131, -0.09872900881150383, -0.078127415495969, -0.060851632905680506, 0.025583786147070072, 0.08847408791604851, 5.9953759773634374e-05, -0.08271808673938115, 0.07328025555831291, 0.4246773888312635, -0.03514742017501876, 0.2462945141430412, 0.15142338745118605, -0.14756364439658465, -0.08796354723606437, 0.22206171491138993, 0.09502079371096832, 0.037466245088061054, -0.24000375363088788, -0.0669247899883582, 0.044695176128741534, 0.19144227648419992, 0.04970655508250708, 0.06433267240260777, 0.2537476461425069, 0.16064499829718398, -0.06426645800959141, 0.01159460253603313, -0.3307255312268223, 0.06932202087981361, -0.2823389607171218, -0.08926432106333475, -0.1268642480219049, 0.22293134632387332, -0.18550401229731506, -0.09575858876286518, 0.4027025727333412, -0.03827861159862507, 0.1941080932904567, -0.030471640392317482, 0.19938116875432788, 0.06335827599590023, 0.07297970669432766, 0.11271781574690803, 0.3724693949556067, 0.17983306975414357, 0.24039752639475323, -0.21263584589386092, 0.08009558470387544, 0.0804142268551957] |
710.0766 | Atomic diffraction in counter-propagating Gaussian pulses of laser light | We present an analysis of atomic diffraction due to the interaction of an
atomic beam with a pair of Gaussian light pulses. We derive a simple analytical
expression for the populations in different diffraction orders. The validity of
the obtained solution extends beyond the Raman-Nath regime, where the kinetic
energy associated with different diffraction peaks is neglected, into the
so-called channeling regime where accurate analytical expressions have not
previously been available for the diffraction. Comparison with experimental
results and exact numerical solutions demonstrate the validity of our
analytical formula.
| quant-ph | we present an analysis of atomic diffraction due to the interaction of an atomic beam with a pair of gaussian light pulses we derive a simple analytical expression for the populations in different diffraction orders the validity of the obtained solution extends beyond the ramannath regime where the kinetic energy associated with different diffraction peaks is neglected into the socalled channeling regime where accurate analytical expressions have not previously been available for the diffraction comparison with experimental results and exact numerical solutions demonstrate the validity of our analytical formula | [['we', 'present', 'an', 'analysis', 'of', 'atomic', 'diffraction', 'due', 'to', 'the', 'interaction', 'of', 'an', 'atomic', 'beam', 'with', 'a', 'pair', 'of', 'gaussian', 'light', 'pulses', 'we', 'derive', 'a', 'simple', 'analytical', 'expression', 'for', 'the', 'populations', 'in', 'different', 'diffraction', 'orders', 'the', 'validity', 'of', 'the', 'obtained', 'solution', 'extends', 'beyond', 'the', 'ramannath', 'regime', 'where', 'the', 'kinetic', 'energy', 'associated', 'with', 'different', 'diffraction', 'peaks', 'is', 'neglected', 'into', 'the', 'socalled', 'channeling', 'regime', 'where', 'accurate', 'analytical', 'expressions', 'have', 'not', 'previously', 'been', 'available', 'for', 'the', 'diffraction', 'comparison', 'with', 'experimental', 'results', 'and', 'exact', 'numerical', 'solutions', 'demonstrate', 'the', 'validity', 'of', 'our', 'analytical', 'formula']] | [-0.0907273364352753, 0.07599322759223254, -0.10287019584244222, 0.07578538924984089, -0.03966033023656503, -0.09745113378955741, 0.06360045158869346, 0.3676264983591404, -0.19987500456601298, -0.2832111433054205, 0.05229527787226933, -0.29741942484894496, -0.08658783554277394, 0.2530189180626335, 0.05907869602166367, 0.07637209781142099, 0.04608061588160024, -0.005540004586068432, -0.05795161860335744, -0.15525191504864044, 0.2710945819703381, 0.07055236232791388, 0.31208085357682425, 0.10099525258907777, 0.09765365125946282, 0.03801600557681319, 0.001317886332196466, 0.007365398632174128, -0.19193051777403342, 0.09546094249117743, 0.22621218287817652, 0.04866148900565053, 0.19234909633111752, -0.48078369887106204, -0.2438615523592642, 0.012788986400020927, 0.2098343814984801, 0.15506746343420713, -0.09508452669120906, -0.2662243203709969, 0.02985605543997306, -0.1743203510917472, -0.17530390020627318, -0.10216944161383959, -0.0314090358972382, 0.08092179823290097, -0.2937835116786987, 0.09565637174671976, 0.02977050178464544, 0.06499734665319491, -0.11677858184792855, -0.10760345579428451, 0.05858018800480228, 0.08434061107508252, 0.052074106056321665, -0.026403367440896424, 0.0502010379509812, -0.10449650502250937, -0.09736095795805534, 0.3723032712999187, -0.035783310789677704, -0.16640306410662245, 0.17405446235802066, -0.2102596794642257, -0.06472856122503329, 0.19714162291519427, 0.07638077450958028, 0.12188828111301815, -0.17715535705302204, 0.06277884757917981, -0.059645045498972024, 0.17630227837251145, 0.1257074334962147, 0.03204867589611853, 0.1551246702817551, 0.1703531393320875, -0.016344366466961382, 0.16614051883401915, -0.11982038648592391, -0.11309013983464977, -0.30568700204237126, -0.06879777108103932, -0.163375326338109, 0.022108801377818166, -0.1079403663450117, -0.1425608636476518, 0.359846717625689, 0.1537982253671697, 0.14632939425914476, 0.0647329372782888, 0.35634165809730467, 0.19769446540943064, 0.015887626708391007, 0.008045793149955151, 0.27368041098620116, 0.16019883575807378, 0.07509733822322294, -0.25538406014086656, 0.035684938600098484, 0.0204134093796353] |
710.0767 | Towards unravelling the structural distribution of ultra-high-energy
cosmic ray sources | We investigate the possibility that near future observations of
ultra-high-energy cosmic rays (UHECRs) can unveil their local source
distribution, which reflects the observed local structures if their origins are
astrophysical objects. In order to discuss this possibility, we calculate the
arrival distribution of UHE protons taking into account their propagation
process in intergalactic space i.e. energy losses and deflections by
extragalactic magnetic field (EGMF). For a realistic simulation, we construct
and adopt a model of a structured EGMF and UHECR source distribution, which
reproduce the local structures actually observed around the Milky Way. The
arrival distribution is compared statistically to their source distribution
using correlation coefficient. We specially find that UHECRs above
$10^{19.8}$eV are best indicators to decipher their source distribution within
100 Mpc, and detection of about 500 events on all the sky allows us to unveil
the local structure of UHE universe for plausible EGMF strength and the source
number density. This number of events can be detected by five years observation
by Pierre Auger Observatory.
| astro-ph | we investigate the possibility that near future observations of ultrahighenergy cosmic rays uhecrs can unveil their local source distribution which reflects the observed local structures if their origins are astrophysical objects in order to discuss this possibility we calculate the arrival distribution of uhe protons taking into account their propagation process in intergalactic space ie energy losses and deflections by extragalactic magnetic field egmf for a realistic simulation we construct and adopt a model of a structured egmf and uhecr source distribution which reproduce the local structures actually observed around the milky way the arrival distribution is compared statistically to their source distribution using correlation coefficient we specially find that uhecrs above 10198ev are best indicators to decipher their source distribution within 100 mpc and detection of about 500 events on all the sky allows us to unveil the local structure of uhe universe for plausible egmf strength and the source number density this number of events can be detected by five years observation by pierre auger observatory | [['we', 'investigate', 'the', 'possibility', 'that', 'near', 'future', 'observations', 'of', 'ultrahighenergy', 'cosmic', 'rays', 'uhecrs', 'can', 'unveil', 'their', 'local', 'source', 'distribution', 'which', 'reflects', 'the', 'observed', 'local', 'structures', 'if', 'their', 'origins', 'are', 'astrophysical', 'objects', 'in', 'order', 'to', 'discuss', 'this', 'possibility', 'we', 'calculate', 'the', 'arrival', 'distribution', 'of', 'uhe', 'protons', 'taking', 'into', 'account', 'their', 'propagation', 'process', 'in', 'intergalactic', 'space', 'ie', 'energy', 'losses', 'and', 'deflections', 'by', 'extragalactic', 'magnetic', 'field', 'egmf', 'for', 'a', 'realistic', 'simulation', 'we', 'construct', 'and', 'adopt', 'a', 'model', 'of', 'a', 'structured', 'egmf', 'and', 'uhecr', 'source', 'distribution', 'which', 'reproduce', 'the', 'local', 'structures', 'actually', 'observed', 'around', 'the', 'milky', 'way', 'the', 'arrival', 'distribution', 'is', 'compared', 'statistically', 'to', 'their', 'source', 'distribution', 'using', 'correlation', 'coefficient', 'we', 'specially', 'find', 'that', 'uhecrs', 'above', '10198ev', 'are', 'best', 'indicators', 'to', 'decipher', 'their', 'source', 'distribution', 'within', '100', 'mpc', 'and', 'detection', 'of', 'about', '500', 'events', 'on', 'all', 'the', 'sky', 'allows', 'us', 'to', 'unveil', 'the', 'local', 'structure', 'of', 'uhe', 'universe', 'for', 'plausible', 'egmf', 'strength', 'and', 'the', 'source', 'number', 'density', 'this', 'number', 'of', 'events', 'can', 'be', 'detected', 'by', 'five', 'years', 'observation', 'by', 'pierre', 'auger', 'observatory']] | [-0.10135897082516444, 0.1696577653244227, -0.07444975604609905, 0.20033050384092108, -0.10856791542463763, 0.009628687304874024, 0.020683838921727357, 0.44992792416743177, -0.25454261413675, -0.4088346375303042, -0.004232645460019658, -0.3121659063196826, -0.025628459943651184, 0.19445612134194437, 0.07856797458935796, -0.03904350761890211, 0.03380375431326335, -0.03679780297965637, 0.014290461567659936, -0.22817091009033075, 0.2824851480461824, 0.1921347308636247, 0.26912567068259424, 0.01954459425195784, 0.11309373510923393, -0.026626651806890698, -0.07698557993486345, -0.03862246959961666, -0.09564972947193742, 0.09394073298808835, 0.20190252688668758, 0.1538920809318239, 0.1772735198293283, -0.410512207778628, -0.2786459717788025, 0.14606635810383511, 0.14366436697728097, 0.054610879429543534, -0.051969579736681926, -0.3350714958624212, 0.09301687811723001, -0.14737589667344878, -0.17418958129595496, 0.0041132358141232304, -0.01616170272666091, 0.06462879375760962, -0.2005379318212951, 0.07646853696906236, -0.01582551134114494, 0.012247214194186434, -0.10242810820349252, -0.07995541058313436, 0.018383841212939272, 0.1289104395295064, 0.08403932059815984, 0.011038032145668826, 0.19149451760692288, -0.12632103602981898, -0.08302229244093283, 0.38893370054283005, -0.058389975302462316, -0.07955938306480959, 0.13882552572208162, -0.22183778727602096, -0.1535109453053844, 0.15301379271013338, 0.2019114155833983, 0.06164947984193613, -0.20722429066217465, 0.05133317239006736, -0.00023454427649406438, 0.15363167607766426, 0.06541476448479215, 0.04211955397350792, 0.29887292827869916, 0.11100301783654594, 0.09316784151255371, 0.07258289037091088, -0.2260899087609333, -0.013739697576617587, -0.2878556929327949, -0.09715536070749174, -0.1673121637292485, 0.11599270610590494, -0.10567584028702806, -0.11817018501669682, 0.41036231131822676, 0.21524740557582256, 0.21200162823825047, 0.020606158316570394, 0.2616364439826704, 0.03358277546738213, 0.007427177697275124, 0.11783767338496393, 0.29054202282700886, 0.11931987188360514, 0.06653242540674027, -0.17463536545756958, 0.14783568126651386, -0.023514411124975203] |
710.0768 | On the stability of periodically time-dependent quantum systems | The main motivation of this article is to derive sufficient conditions for
dynamical stability of periodically driven quantum systems described by a
Hamiltonian H(t), i.e., conditions under which it holds sup_{t in R} |
(psi(t),H(t) psi(t)) |<\infty where psi(t) denotes a trajectory at time t of
the quantum system under consideration. We start from an analysis of the domain
of the quasi-energy operator. Next we show, under certain assumptions, that if
the spectrum of the monodromy operator U(T,0) is pure point then there exists a
dense subspace of initial conditions for which the mean value of energy is
uniformly bounded in the course of time. Further we show that if the propagator
admits a differentiable Floquet decomposition then || H(t) psi(t) || is bounded
in time for any initial condition psi(0), and one employs the quantum KAM
algorithm to prove the existence of this type of decomposition for a fairly
large class of H(t). In addition, we derive bounds uniform in time on
transition probabilities between different energy levels, and we also propose
an extension of this approach to the case of a higher order of
differentiability of the Floquet decomposition. The procedure is demonstrated
on a solvable example of the periodically time-dependent harmonic oscillator.
| math-ph math.MP math.SP | the main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a hamiltonian ht ie conditions under which it holds sup_t in r psitht psit infty where psit denotes a trajectory at time t of the quantum system under consideration we start from an analysis of the domain of the quasienergy operator next we show under certain assumptions that if the spectrum of the monodromy operator ut0 is pure point then there exists a dense subspace of initial conditions for which the mean value of energy is uniformly bounded in the course of time further we show that if the propagator admits a differentiable floquet decomposition then ht psit is bounded in time for any initial condition psi0 and one employs the quantum kam algorithm to prove the existence of this type of decomposition for a fairly large class of ht in addition we derive bounds uniform in time on transition probabilities between different energy levels and we also propose an extension of this approach to the case of a higher order of differentiability of the floquet decomposition the procedure is demonstrated on a solvable example of the periodically timedependent harmonic oscillator | [['the', 'main', 'motivation', 'of', 'this', 'article', 'is', 'to', 'derive', 'sufficient', 'conditions', 'for', 'dynamical', 'stability', 'of', 'periodically', 'driven', 'quantum', 'systems', 'described', 'by', 'a', 'hamiltonian', 'ht', 'ie', 'conditions', 'under', 'which', 'it', 'holds', 'sup_t', 'in', 'r', 'psitht', 'psit', 'infty', 'where', 'psit', 'denotes', 'a', 'trajectory', 'at', 'time', 't', 'of', 'the', 'quantum', 'system', 'under', 'consideration', 'we', 'start', 'from', 'an', 'analysis', 'of', 'the', 'domain', 'of', 'the', 'quasienergy', 'operator', 'next', 'we', 'show', 'under', 'certain', 'assumptions', 'that', 'if', 'the', 'spectrum', 'of', 'the', 'monodromy', 'operator', 'ut0', 'is', 'pure', 'point', 'then', 'there', 'exists', 'a', 'dense', 'subspace', 'of', 'initial', 'conditions', 'for', 'which', 'the', 'mean', 'value', 'of', 'energy', 'is', 'uniformly', 'bounded', 'in', 'the', 'course', 'of', 'time', 'further', 'we', 'show', 'that', 'if', 'the', 'propagator', 'admits', 'a', 'differentiable', 'floquet', 'decomposition', 'then', 'ht', 'psit', 'is', 'bounded', 'in', 'time', 'for', 'any', 'initial', 'condition', 'psi0', 'and', 'one', 'employs', 'the', 'quantum', 'kam', 'algorithm', 'to', 'prove', 'the', 'existence', 'of', 'this', 'type', 'of', 'decomposition', 'for', 'a', 'fairly', 'large', 'class', 'of', 'ht', 'in', 'addition', 'we', 'derive', 'bounds', 'uniform', 'in', 'time', 'on', 'transition', 'probabilities', 'between', 'different', 'energy', 'levels', 'and', 'we', 'also', 'propose', 'an', 'extension', 'of', 'this', 'approach', 'to', 'the', 'case', 'of', 'a', 'higher', 'order', 'of', 'differentiability', 'of', 'the', 'floquet', 'decomposition', 'the', 'procedure', 'is', 'demonstrated', 'on', 'a', 'solvable', 'example', 'of', 'the', 'periodically', 'timedependent', 'harmonic', 'oscillator']] | [-0.17104651377216648, 0.138499656237056, -0.11522017679158691, 0.02991790831696001, -0.010460703342976928, -0.1294960000914804, 0.04116760401648298, 0.3382280624161164, -0.28955636066222445, -0.20070243770585613, 0.12005440379546223, -0.2094110793181271, -0.14514873019507646, 0.1897544806674864, -0.04506265776363938, 0.05874550521874161, 0.05886727316647916, 0.10058356042538968, -0.092644454833741, -0.20452759274517868, 0.3572326169502157, -0.015067916353631635, 0.2373187578855481, 0.04333324521167241, 0.1218591641440098, 0.005598813799251594, 0.04813070877093766, -0.014700050861922219, -0.17113398144345102, 0.04722782302750923, 0.205838119870617, 0.11039683272811904, 0.3045343690880792, -0.38730387132040306, -0.16457087016050223, 0.15825327316331514, 0.10976657847785831, 0.07258382116546344, -0.023616350594727293, -0.2630196299753731, 0.11359857808363008, 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710.0769 | Four-body continuum-discretized coupled-channels calculations using a
transformed harmonic oscillator basis | The scattering of a weakly bound three-body system by a target is discussed.
A transformed harmonic oscillator basis is used to provide an appropriate
discrete and finite basis for treating the continuum part of the spectrum of
the projectile. The continuum-discretized coupled channels framework is used
for the scattering calculations. The formalism is applied to different
reactions, 6He+12C at 229.8 MeV, 6He+64Zn at 10 and 13.6 MeV, and 6He+208Pb at
22 MeV, induced by the Borromean nucleus 6He. Both the Coulomb and nuclear
interactions with a target are taken into account.
| nucl-th | the scattering of a weakly bound threebody system by a target is discussed a transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the projectile the continuumdiscretized coupled channels framework is used for the scattering calculations the formalism is applied to different reactions 6he12c at 2298 mev 6he64zn at 10 and 136 mev and 6he208pb at 22 mev induced by the borromean nucleus 6he both the coulomb and nuclear interactions with a target are taken into account | [['the', 'scattering', 'of', 'a', 'weakly', 'bound', 'threebody', 'system', 'by', 'a', 'target', 'is', 'discussed', 'a', 'transformed', 'harmonic', 'oscillator', 'basis', 'is', 'used', 'to', 'provide', 'an', 'appropriate', 'discrete', 'and', 'finite', 'basis', 'for', 'treating', 'the', 'continuum', 'part', 'of', 'the', 'spectrum', 'of', 'the', 'projectile', 'the', 'continuumdiscretized', 'coupled', 'channels', 'framework', 'is', 'used', 'for', 'the', 'scattering', 'calculations', 'the', 'formalism', 'is', 'applied', 'to', 'different', 'reactions', '6he12c', 'at', '2298', 'mev', '6he64zn', 'at', '10', 'and', '136', 'mev', 'and', '6he208pb', 'at', '22', 'mev', 'induced', 'by', 'the', 'borromean', 'nucleus', '6he', 'both', 'the', 'coulomb', 'and', 'nuclear', 'interactions', 'with', 'a', 'target', 'are', 'taken', 'into', 'account']] | [-0.04020350582173301, 0.18530706744269182, -0.09277134822073599, 0.12158033552372621, 0.03260696442157496, -0.13139113388541673, 0.027756000186006227, 0.36148801322819457, -0.21468677394506003, -0.27172667941906387, -0.023714975122776295, -0.30916139478277826, -0.016184174838579365, 0.1540271010223983, 0.10871345930629306, 0.05358198321320944, 0.07281057940175135, 0.03512351476205772, -0.026105526451849274, -0.16191475347926218, 0.3161016269845681, 0.08839151564882033, 0.2218640864568038, 0.13680586250532845, 0.09687763085692293, 0.0887366865011346, 0.015853944757125444, -0.06794002902590567, -0.0957281450740993, 0.10662794342368014, 0.2605894861328933, 0.026309082015520995, 0.20620622201822697, -0.40664629373285505, -0.1780694498990973, 0.041274431327150925, 0.14214588458028932, 0.12928603921189077, -0.02302585735839481, -0.333389044387473, 0.018774492697169385, -0.20917674575207962, -0.1646836064807657, -0.05253550571182536, 0.03577453742424647, 0.011127013216416041, -0.29076194051239224, 0.060814027353707285, 0.009871876534695427, 0.023893358787932407, -0.13933918778784574, -0.1945959157194011, -0.006649462687265541, 0.10212240413659149, -0.012185067968029114, 0.06579191595212452, 0.17380297435706274, -0.061197810118190116, -0.037699065171182156, 0.4357097731696235, -0.044821277051232754, -0.17393813857601748, 0.1419178668823507, -0.09314984173203508, -0.08098813646162549, 0.2265437226328585, 0.14661901061837043, 0.10803482592002385, -0.19680797181402643, 0.09348561698829548, 0.009767297857453942, 0.18532375651929114, 0.0653949157283124, -0.01560221763017277, 0.1437883388522702, 0.17726943742697282, -0.014032607846375968, 0.11486290829359658, -0.15078603037658872, -0.07954763122834266, -0.32464530573536954, -0.05093422114316329, -0.1540825662617054, 0.03408404425200489, -0.023263646128665036, -0.06987305616494269, 0.3583133762847865, 0.007057860219437215, 0.1898606019637858, -0.03279823474650685, 0.2504330939302842, 0.15863361121672723, 0.07539744983530706, 0.03103667035078009, 0.2838206210898028, 0.21412709918804468, 0.032574494120975336, -0.2636933559137914, -0.03549321445946892, 0.04761214926580174] |
710.077 | Hydrostatic pressure study of single-crystalline UNi0.5Sb2 | We studied single-crystals of the antiferromagnetic compound UNi0.5Sb2 (TN ~
161 K) by means of measurements of magnetic susceptibility (chi), specific heat
(Cp), and electrical resistivity (rho) at ambient pressure, and resistivity
under hydrostatic pressures up to 20 kbar, in the temperature range from 1.9 to
300 K. The thermal coefficient of the electrical resistivity (drho/dT) changes
drastically from positive below TN to negative above, reflecting the loss of
spin-disorder scattering in the ordered phase. Two small features in the rho vs
T data centered near 40 and 85 K correlate well in temperature with features in
the magnetic susceptibility and are consistent with other data in the
literature. These features are quite hysteretic in temperature, i.e., the
difference between the warming and cooling cycles are about 10 and 6 K,
respectively. The effect of pressure is to raise TN at the approximate rate of
0.76 K/kbar, while progressively suppressing the amplitude of the small
features in rho vs T at lower temperatures and increasing the thermal
hysteresis.
| cond-mat.str-el | we studied singlecrystals of the antiferromagnetic compound uni05sb2 tn 161 k by means of measurements of magnetic susceptibility chi specific heat cp and electrical resistivity rho at ambient pressure and resistivity under hydrostatic pressures up to 20 kbar in the temperature range from 19 to 300 k the thermal coefficient of the electrical resistivity drhodt changes drastically from positive below tn to negative above reflecting the loss of spindisorder scattering in the ordered phase two small features in the rho vs t data centered near 40 and 85 k correlate well in temperature with features in the magnetic susceptibility and are consistent with other data in the literature these features are quite hysteretic in temperature ie the difference between the warming and cooling cycles are about 10 and 6 k respectively the effect of pressure is to raise tn at the approximate rate of 076 kkbar while progressively suppressing the amplitude of the small features in rho vs t at lower temperatures and increasing the thermal hysteresis | [['we', 'studied', 'singlecrystals', 'of', 'the', 'antiferromagnetic', 'compound', 'uni05sb2', 'tn', '161', 'k', 'by', 'means', 'of', 'measurements', 'of', 'magnetic', 'susceptibility', 'chi', 'specific', 'heat', 'cp', 'and', 'electrical', 'resistivity', 'rho', 'at', 'ambient', 'pressure', 'and', 'resistivity', 'under', 'hydrostatic', 'pressures', 'up', 'to', '20', 'kbar', 'in', 'the', 'temperature', 'range', 'from', '19', 'to', '300', 'k', 'the', 'thermal', 'coefficient', 'of', 'the', 'electrical', 'resistivity', 'drhodt', 'changes', 'drastically', 'from', 'positive', 'below', 'tn', 'to', 'negative', 'above', 'reflecting', 'the', 'loss', 'of', 'spindisorder', 'scattering', 'in', 'the', 'ordered', 'phase', 'two', 'small', 'features', 'in', 'the', 'rho', 'vs', 't', 'data', 'centered', 'near', '40', 'and', '85', 'k', 'correlate', 'well', 'in', 'temperature', 'with', 'features', 'in', 'the', 'magnetic', 'susceptibility', 'and', 'are', 'consistent', 'with', 'other', 'data', 'in', 'the', 'literature', 'these', 'features', 'are', 'quite', 'hysteretic', 'in', 'temperature', 'ie', 'the', 'difference', 'between', 'the', 'warming', 'and', 'cooling', 'cycles', 'are', 'about', '10', 'and', '6', 'k', 'respectively', 'the', 'effect', 'of', 'pressure', 'is', 'to', 'raise', 'tn', 'at', 'the', 'approximate', 'rate', 'of', '076', 'kkbar', 'while', 'progressively', 'suppressing', 'the', 'amplitude', 'of', 'the', 'small', 'features', 'in', 'rho', 'vs', 't', 'at', 'lower', 'temperatures', 'and', 'increasing', 'the', 'thermal', 'hysteresis']] | [-0.14552080256851105, 0.2586354736620224, -0.002004239379978144, -0.03817000648400225, -0.014501918623425874, -0.12412148244266612, 0.15291277872516312, 0.3601038815532194, -0.28983046973954485, -0.3642530017588512, 0.06537641087653542, -0.39871068087585987, -0.03363053363899375, 0.18497299633538686, 0.05814336572496041, 0.011888863311250168, -0.10920038834180548, 0.09608079804667181, -0.14253354475956903, -0.22427973231996398, 0.25710348556002643, 0.049204865495775296, 0.2658805250308016, 0.1247759507558763, 0.03203649566412752, -0.07316943596633353, 0.06209090562728065, 0.05309597661992933, -0.14036780853944422, -0.03571949780567834, 0.25934778431329475, -0.040661584493333854, 0.1556699409834053, -0.3464910583121769, -0.20842598307967544, 0.03778928344794381, 0.05679416740369276, 0.023230414217652148, 0.009471863093056592, -0.20877158948702804, 0.1149628405888419, -0.06511120842657535, -0.0919906648064554, -0.08991362051533378, 0.019404061826602387, -0.03205625752179255, -0.2664876543371153, 0.21194000068367516, 0.08390879405014419, 0.17378676688601544, -0.13097072735496135, -0.2255400054672935, -0.06798702335764979, 0.053440764274291064, 0.07181534324127463, 0.08503702135843573, 0.2074487913506532, -0.14257154645431921, -0.013340163071982068, 0.31055560147008265, -0.10300249859398927, 0.000309002209813839, 0.16954317764682045, -0.24175269385878312, -0.060638992326244354, 0.23604022602954633, 0.1375636420120115, 0.07687987464323011, -0.13413789660209813, 0.047992822504111465, 0.04985268492951529, 0.17974902734620474, 0.10361126229357738, 0.006566296511116516, 0.19008321591571578, 0.1360874477172893, 0.01284706473339304, 0.14436093038291647, -0.13802468227446976, -0.028730773667142873, -0.23967564292252064, -0.12305372728999839, -0.12842287026704793, 0.07032898844343173, -0.1568081316872849, -0.10893514285674767, 0.32690038566803, 0.15413471851478602, 0.27734080750315665, 0.0019461484850350633, 0.2470181456862399, 0.0989376255752889, 0.07967978994662211, 0.13079762842691312, 0.2097845810173775, 0.21216127986974834, 0.19744647937372373, -0.3135515236287344, 0.07789014541285944, -0.07285238774100611] |
710.0771 | The foam and the matrix factorization sl3 link homologies are equivalent | We prove that the foam and matrix factorization universal rational sl3 link
homologies are naturally isomorphic as projective functors from the category of
link and link cobordisms to the category of bigraded vector spaces.
| math.GT math.QA | we prove that the foam and matrix factorization universal rational sl3 link homologies are naturally isomorphic as projective functors from the category of link and link cobordisms to the category of bigraded vector spaces | [['we', 'prove', 'that', 'the', 'foam', 'and', 'matrix', 'factorization', 'universal', 'rational', 'sl3', 'link', 'homologies', 'are', 'naturally', 'isomorphic', 'as', 'projective', 'functors', 'from', 'the', 'category', 'of', 'link', 'and', 'link', 'cobordisms', 'to', 'the', 'category', 'of', 'bigraded', 'vector', 'spaces']] | [-0.2228889337138218, 0.03976780510343173, -0.08601365890353918, 0.17443931967821247, -0.172666161595022, -0.20954785117989078, -0.04538307536174269, 0.37666348234394237, -0.4997523937593488, -0.1418517269194126, 0.08852520250879667, -0.1828179521869649, -0.2554937811458812, 0.08327589548699667, -0.23542055334238446, -0.04555775983916486, 0.08940922974964932, 0.12003259371746988, -0.1149245683747508, -0.24141961927799618, 0.5575439642895671, -0.06913110827479292, 0.24667408333762603, 0.06406098961665788, 0.155187725336017, 0.037898533744737506, -0.05079117833691485, -0.07118773515171864, -0.18173709657040651, 0.11890790776541348, 0.39550105778171735, 0.020517831086181104, 0.008238987986902323, -0.3823297547505182, -0.044334904509870446, 0.21218165963449898, 0.17212059804895782, -0.0493103323285194, 0.07221748452524052, -0.308759198496666, 0.08401961019262671, -0.3070646779721274, -0.037286073106395846, -0.10853286848321338, 0.0356226364041076, 0.014557035009869757, -0.1940780383781256, -0.07615790319601622, 0.02842251567498726, 0.0966154316385441, -0.06417864299488857, -0.056644110091249734, -0.15668744889690595, 0.12023384117192644, -0.0361672301283654, 0.09952844242455766, 0.1611933068728403, -0.13605539719848073, -0.20687762297251644, 0.3681795410811901, -0.05338176054989591, -0.2756263151874437, 0.128704602994463, -0.12269232537159148, -0.17470006406416788, 0.15878679307506366, -0.04703574883066775, 0.0587858169558732, 0.044509605723707116, 0.1917835178148166, -0.20004169971627347, 0.009357830940964906, 0.1094508101369309, 0.04876998297507217, 0.16180646879708066, 0.03223293603343122, 0.01120295814539799, 0.12567209189429002, 0.05196685672682874, -0.1087670388737666, -0.34002363221610293, -0.2993611496708849, -0.06645046716884655, 0.1545346423791831, -0.1806577198637088, -0.16888286765007413, 0.3825819687369992, 0.047361132634036684, 0.19152051092618527, 0.2781307949574993, 0.23938462390180895, -0.057615445765858406, 0.07634040625656352, -0.030026834019843268, 0.07189346707480795, 0.37382805087220145, -0.05191953874686185, -0.0070607928655055515, -0.03991580280639669, 0.37651254751664753] |
710.0772 | Differential equations driven by rough paths: an approach via discrete
approximation | A theory of differential equations driven by a non-differentiable path has
recently been developed by Lyons. We develop an alternative approach to this
theory, using (modified Euler approximations), and investigate its
applicability to stochastic differential equations driven by Brownian motion.
We also give some other examples showing that the main results are reasonably
sharp.
| math.PR math.CA | a theory of differential equations driven by a nondifferentiable path has recently been developed by lyons we develop an alternative approach to this theory using modified euler approximations and investigate its applicability to stochastic differential equations driven by brownian motion we also give some other examples showing that the main results are reasonably sharp | [['a', 'theory', 'of', 'differential', 'equations', 'driven', 'by', 'a', 'nondifferentiable', 'path', 'has', 'recently', 'been', 'developed', 'by', 'lyons', 'we', 'develop', 'an', 'alternative', 'approach', 'to', 'this', 'theory', 'using', 'modified', 'euler', 'approximations', 'and', 'investigate', 'its', 'applicability', 'to', 'stochastic', 'differential', 'equations', 'driven', 'by', 'brownian', 'motion', 'we', 'also', 'give', 'some', 'other', 'examples', 'showing', 'that', 'the', 'main', 'results', 'are', 'reasonably', 'sharp']] | [-0.06732397638175085, 0.054424132757520526, -0.1358738747615091, 0.0846460047156412, -0.124492304675557, -0.12933034593825815, -0.031612076111034386, 0.34454235845003967, -0.3139310758560896, -0.2852251620411321, 0.09209833041488848, -0.2562387198235633, -0.25858836503768406, 0.23440111283626822, -0.14079433277732245, 0.09997166322298451, 0.033531255554407835, -0.03217215711871783, -0.030861205089388898, -0.2549233633197016, 0.3107560625411915, 0.017810595670232066, 0.1822409484475092, 0.01772783214605793, 0.16749115703903414, -0.03902298151687891, -0.06524246375731847, 0.10219015308690292, -0.22760987229695376, 0.14599712211983623, 0.21976364822627079, 0.044997079345328664, 0.32721790602361717, -0.46521140735044525, -0.24955498146893526, 0.018605038585115433, 0.12808399038611376, 0.12923989382882914, -0.11915879715578975, -0.33641824478076565, 0.0888834401137299, -0.17868024671312283, -0.19700138357950858, -0.1667070456487299, 0.028242879581672174, 0.08668868993926379, -0.2200803296916463, 0.04966493084524431, 0.10324710846826848, 0.023826340360015078, -0.054808134387712926, -0.08286714761224748, 0.037845902144908905, 0.01715843687351379, 0.035118501642029044, 0.0034142586907061436, 0.07160776910475558, -0.07597429130692035, -0.2003535021148208, 0.31824290933501387, -0.12077307181984738, -0.28437158632678566, 0.1933744228100059, -0.08652795696872528, -0.11836894285106273, 0.14633009700035607, 0.12710650703283372, 0.182053885422647, -0.24872410785475815, 0.1305370722127716, -0.032547447830438614, 0.058001694855866606, 0.055412097463246296, -0.07454895613611573, 0.09360166396732826, 0.1498634859022719, 0.06451476891352623, 0.13911730148592377, -0.023705585997689654, -0.20138207377210535, -0.3055764858921369, -0.13100717335732448, -0.12252632854506373, 0.07855484369038432, -0.04696264905241723, -0.15074840865822303, 0.3255548611697223, 0.18469315280930865, 0.1771767970898913, 0.06975417979130591, 0.28721303430696327, 0.27395773199559365, -0.036345162713486284, 0.056653693706418075, 0.20307689162102718, 0.22233196559655308, 0.11493269461034625, -0.17821205721271258, 0.050163750183182185, 0.16564465676330858] |
710.0773 | Flux line lattice state versus magnetism in electron-doped cuprate
superconductor Sr_{1-x}La_{x}CuO_{2} | The microscopic details of flux line lattice state studied by muon spin
rotation is reported in an electron-doped high-$T_{\rm c}$ cuprate
superconductor, Sr$_{1-x}$La$_{x}$CuO$_{2}$ (SLCO, $x=0.10$--0.15). A clear
sign of phase separation between magnetic and non-magnetic phases is observed,
where the effective magnetic penetration depth [$\lambda\equiv\lambda(T,H)$] is
determined selectively for the latter phase. The extremely small value of
$\lambda(0,0)$ %versus $T_{\rm c}$ and corresponding large superfluid density
($n_s \propto \lambda^{-2}$) is consistent with presence of a large Fermi
surface with carrier density of $1+x$, which suggests the breakdown of the
"doped Mott insulator" even at the "optimal doping" in SLCO. Moreover, a
relatively weak anisotropy in the superconducting order parameter is suggested
by the field dependence of $\lambda(0,H)$. These observations strongly suggest
that the superconductivity in SLCO is of a different class from hole-doped
cuprates.
| cond-mat.supr-con | the microscopic details of flux line lattice state studied by muon spin rotation is reported in an electrondoped hight_rm c cuprate superconductor sr_1xla_xcuo_2 slco x010015 a clear sign of phase separation between magnetic and nonmagnetic phases is observed where the effective magnetic penetration depth lambdaequivlambdath is determined selectively for the latter phase the extremely small value of lambda00 versus t_rm c and corresponding large superfluid density n_s propto lambda2 is consistent with presence of a large fermi surface with carrier density of 1x which suggests the breakdown of the doped mott insulator even at the optimal doping in slco moreover a relatively weak anisotropy in the superconducting order parameter is suggested by the field dependence of lambda0h these observations strongly suggest that the superconductivity in slco is of a different class from holedoped cuprates | [['the', 'microscopic', 'details', 'of', 'flux', 'line', 'lattice', 'state', 'studied', 'by', 'muon', 'spin', 'rotation', 'is', 'reported', 'in', 'an', 'electrondoped', 'hight_rm', 'c', 'cuprate', 'superconductor', 'sr_1xla_xcuo_2', 'slco', 'x010015', 'a', 'clear', 'sign', 'of', 'phase', 'separation', 'between', 'magnetic', 'and', 'nonmagnetic', 'phases', 'is', 'observed', 'where', 'the', 'effective', 'magnetic', 'penetration', 'depth', 'lambdaequivlambdath', 'is', 'determined', 'selectively', 'for', 'the', 'latter', 'phase', 'the', 'extremely', 'small', 'value', 'of', 'lambda00', 'versus', 't_rm', 'c', 'and', 'corresponding', 'large', 'superfluid', 'density', 'n_s', 'propto', 'lambda2', 'is', 'consistent', 'with', 'presence', 'of', 'a', 'large', 'fermi', 'surface', 'with', 'carrier', 'density', 'of', '1x', 'which', 'suggests', 'the', 'breakdown', 'of', 'the', 'doped', 'mott', 'insulator', 'even', 'at', 'the', 'optimal', 'doping', 'in', 'slco', 'moreover', 'a', 'relatively', 'weak', 'anisotropy', 'in', 'the', 'superconducting', 'order', 'parameter', 'is', 'suggested', 'by', 'the', 'field', 'dependence', 'of', 'lambda0h', 'these', 'observations', 'strongly', 'suggest', 'that', 'the', 'superconductivity', 'in', 'slco', 'is', 'of', 'a', 'different', 'class', 'from', 'holedoped', 'cuprates']] | [-0.19947546775246622, 0.2649827447760084, 0.007857862890179035, 0.0358027663661295, -0.04008979777599336, -0.17662376461271553, 0.09498999521264252, 0.34154243889542024, -0.19996331581461088, -0.2847951326078472, -0.012181755261964926, -0.32230448404341255, -0.06223027078960915, 0.1599198080641964, 0.027117160561259922, 0.0017501615407300814, -0.10669454274955027, -0.03527829224130011, -0.1544316970167383, -0.19624452889392166, 0.3013055177249071, 0.018929592579006012, 0.34044309273959344, 0.09264132814510291, 0.01098495380924517, -0.04292236476112868, 0.14038511109005175, 0.06468533393251531, -0.16443944010619857, 0.0008199792746312291, 0.2811452890408602, -0.1041651867216325, 0.1525330086956725, -0.38642860915625593, -0.21736786769034752, -0.0025192450266331434, 0.12889184747495552, 0.0940166360632879, -0.05989639378572238, -0.2648528714358579, 0.034835787942785884, -0.13342862126225505, -0.128829853220857, -0.059500371973307535, 0.03992268526020197, -0.018613570336267614, -0.2621275482997867, 0.13340264999459653, 0.03982029433134687, 0.11112478613775252, -0.08722862909292049, -0.13768484711092505, -0.08346188737022626, -0.01508325261582855, 0.0968359163606838, 0.13987291821115116, 0.12870643413021365, -0.14219715259969234, -0.018008745008837857, 0.3143427397927824, -0.0602572237342269, -0.0249722957553765, 0.13452390725688854, -0.22764378646755226, -0.07655928417229811, 0.18988632132078856, 0.04519636513139228, 0.08781930705788367, -0.08681507955948672, 0.11217061355834443, -0.04208303285222358, 0.24568422012855762, -0.00415217673107413, 0.07256455585815524, 0.2720935370502922, 0.21928018125357063, 0.05263962080161876, 0.10182470213692948, -0.17091458070959242, -0.016778041814802257, -0.23562487467185003, -0.15609184963600212, -0.24242173180424872, 0.06542884988198412, -0.1106526177864831, -0.18554018646921208, 0.37450492995584966, 0.14314292286405383, 0.2420935120988097, -0.08557395401094393, 0.2042725132458367, 0.12443541603710304, 0.06188129961138719, 0.06027199295242779, 0.2435439415311597, 0.16097271721454637, 0.11885673943764836, -0.3375269084189528, 0.11712233990942704, 0.01906829577860003] |
710.0774 | NGC 346 in the Small Magellanic Cloud. III. Recent Star Formation and
Stellar Clustering Properties in the Bright HII Region N 66 | In the third part of our photometric study of the star-forming region NGC
346/N~66 and its surrounding field in the Small Magellanic Cloud (SMC), we
focus on the large number of low-mass pre-main sequence (PMS) stars revealed by
the Hubble Space Telescope Observations with the Advanced Camera for Surveys.
We investigate the origin of the observed broadening of the pre-main sequence
population in the $V-I$, $V$ CMD. The most likely explanations are either the
presence of differential reddening or an age spread among the young stars.
Assuming the latter, simulations indicate that we cannot exclude the
possibility that stars in NGC 346 might have formed in two distinct events
occurring about 10 and 5 Myr ago, respectively. We find that the PMS stars are
not homogeneously distributed across NGC 346, but instead are grouped in at
least five different clusters. On spatial scales from 0.8$''$ to 8$''$ (0.24 to
2.4 pc at the distance of the SMC) the clustering of the PMS stars as computed
by a two-point angular correlation function is self-similar with a power law
slope $\gamma \approx -0.3$. The clustering properties are quite similar to
Milky Way star forming regions like Orion OB or $\rho$ Oph. Thus molecular
cloud fragmentation in the SMC seems to proceed on the same spatial scales as
in the Milky Way. This is remarkable given the differences in metallicity and
hence dust content between SMC and Milky Way star forming regions.
| astro-ph | in the third part of our photometric study of the starforming region ngc 346n66 and its surrounding field in the small magellanic cloud smc we focus on the large number of lowmass premain sequence pms stars revealed by the hubble space telescope observations with the advanced camera for surveys we investigate the origin of the observed broadening of the premain sequence population in the vi v cmd the most likely explanations are either the presence of differential reddening or an age spread among the young stars assuming the latter simulations indicate that we cannot exclude the possibility that stars in ngc 346 might have formed in two distinct events occurring about 10 and 5 myr ago respectively we find that the pms stars are not homogeneously distributed across ngc 346 but instead are grouped in at least five different clusters on spatial scales from 08 to 8 024 to 24 pc at the distance of the smc the clustering of the pms stars as computed by a twopoint angular correlation function is selfsimilar with a power law slope gamma approx 03 the clustering properties are quite similar to milky way star forming regions like orion ob or rho oph thus molecular cloud fragmentation in the smc seems to proceed on the same spatial scales as in the milky way this is remarkable given the differences in metallicity and hence dust content between smc and milky way star forming regions | [['in', 'the', 'third', 'part', 'of', 'our', 'photometric', 'study', 'of', 'the', 'starforming', 'region', 'ngc', '346n66', 'and', 'its', 'surrounding', 'field', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'we', 'focus', 'on', 'the', 'large', 'number', 'of', 'lowmass', 'premain', 'sequence', 'pms', 'stars', 'revealed', 'by', 'the', 'hubble', 'space', 'telescope', 'observations', 'with', 'the', 'advanced', 'camera', 'for', 'surveys', 'we', 'investigate', 'the', 'origin', 'of', 'the', 'observed', 'broadening', 'of', 'the', 'premain', 'sequence', 'population', 'in', 'the', 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710.0775 | The Ultraviolet Spectra of the Weak Emission Line Central Stars of
Planetary Nebulae | The ultraviolet spectra of all ``weak emission line central stars of
planetary nebulae'' (WELS) with available IUE data are presented and discussed.
We performed line identifications, equivalent width and flux measurements for
several features in their spectra. We found that the WELS can be divided in
three different groups regarding their UV: i) Strong P-Cygni profiles (mainly
in CIV 1549); ii) Weak P-Cygni features and iii) Absence of P-Cygni profiles.
The last group encompasses stars with a featureless UV spectrum or with intense
emission lines and a weak continuum, which are most likely of nebular origin.
We have measured wind terminal velocities for all objects presenting P-Cygni
profiles in N V 1238 and/or C IV 1549. The results obtained were compared to
the UV data of the two prototype stars of the [WC]-PG 1159 class, namely, A30
and A78. For WELS presenting P-Cygnis, most of the terminal velocities fall in
the range ~1000-1500 km/s, while [WC]-PG 1159 stars possess much higher values,
of about 3000 km/s. The [WC]-PG1159 stars are characterized by intense,
simultaneous P-Cygni emissions in the 1150-2000A interval of N V 1238, O V 1371
and C IV 1549. In contrast, we found that O V 1371 is very weak or absent in
the WELS spectra. On the basis of the ultraviolet spectra alone, our findings
indicate that [WC]-PG 1159 stars are distinct from the WELS, contrary to
previous claims in the literature.
| astro-ph | the ultraviolet spectra of all weak emission line central stars of planetary nebulae wels with available iue data are presented and discussed we performed line identifications equivalent width and flux measurements for several features in their spectra we found that the wels can be divided in three different groups regarding their uv i strong pcygni profiles mainly in civ 1549 ii weak pcygni features and iii absence of pcygni profiles the last group encompasses stars with a featureless uv spectrum or with intense emission lines and a weak continuum which are most likely of nebular origin we have measured wind terminal velocities for all objects presenting pcygni profiles in n v 1238 andor c iv 1549 the results obtained were compared to the uv data of the two prototype stars of the wcpg 1159 class namely a30 and a78 for wels presenting pcygnis most of the terminal velocities fall in the range 10001500 kms while wcpg 1159 stars possess much higher values of about 3000 kms the wcpg1159 stars are characterized by intense simultaneous pcygni emissions in the 11502000a interval of n v 1238 o v 1371 and c iv 1549 in contrast we found that o v 1371 is very weak or absent in the wels spectra on the basis of the ultraviolet spectra alone our findings indicate that wcpg 1159 stars are distinct from the wels contrary to previous claims in the literature | [['the', 'ultraviolet', 'spectra', 'of', 'all', 'weak', 'emission', 'line', 'central', 'stars', 'of', 'planetary', 'nebulae', 'wels', 'with', 'available', 'iue', 'data', 'are', 'presented', 'and', 'discussed', 'we', 'performed', 'line', 'identifications', 'equivalent', 'width', 'and', 'flux', 'measurements', 'for', 'several', 'features', 'in', 'their', 'spectra', 'we', 'found', 'that', 'the', 'wels', 'can', 'be', 'divided', 'in', 'three', 'different', 'groups', 'regarding', 'their', 'uv', 'i', 'strong', 'pcygni', 'profiles', 'mainly', 'in', 'civ', '1549', 'ii', 'weak', 'pcygni', 'features', 'and', 'iii', 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710.0776 | On the cyclotomic Hecke algebras of complex reflection groups | Following the definition of Rouquier for the "families of characters" of a
Weyl group and its generalization to the case of complex reflection groups,
already appeared in the works of Broue-Kim and Malle-Rouquier, we show that
these "families" depend on a numerical datum of the group, its "essential
hyperplanes". Using this characterization, we provide the algorithm and the
results of the determination of the Rouquier blocks of the cyclotomic Hecke
algebras of all exceptional complex reflection groups.
| math.RT | following the definition of rouquier for the families of characters of a weyl group and its generalization to the case of complex reflection groups already appeared in the works of brouekim and mallerouquier we show that these families depend on a numerical datum of the group its essential hyperplanes using this characterization we provide the algorithm and the results of the determination of the rouquier blocks of the cyclotomic hecke algebras of all exceptional complex reflection groups | [['following', 'the', 'definition', 'of', 'rouquier', 'for', 'the', 'families', 'of', 'characters', 'of', 'a', 'weyl', 'group', 'and', 'its', 'generalization', 'to', 'the', 'case', 'of', 'complex', 'reflection', 'groups', 'already', 'appeared', 'in', 'the', 'works', 'of', 'brouekim', 'and', 'mallerouquier', 'we', 'show', 'that', 'these', 'families', 'depend', 'on', 'a', 'numerical', 'datum', 'of', 'the', 'group', 'its', 'essential', 'hyperplanes', 'using', 'this', 'characterization', 'we', 'provide', 'the', 'algorithm', 'and', 'the', 'results', 'of', 'the', 'determination', 'of', 'the', 'rouquier', 'blocks', 'of', 'the', 'cyclotomic', 'hecke', 'algebras', 'of', 'all', 'exceptional', 'complex', 'reflection', 'groups']] | [-0.1983929898093144, 0.026664260586063998, -0.11057405280570189, 0.013708464483109613, -0.09360607264563442, -0.07680965931465228, 0.030363962016999722, 0.33459299970262996, -0.2819969098207851, -0.24687172457575798, 0.12047254618722945, -0.22819998388489088, -0.18657052217672268, 0.23523856905599436, -0.10586602245767911, -0.0046684130110467474, 0.048721029919882614, 0.0997613619240777, -0.10839647182263434, -0.3088521106292804, 0.42572640338291723, 0.015901138021921116, 0.2430418933990101, 0.030868855516115824, 0.07586477850874265, 0.050358958716193836, -0.055857878321160875, -0.06299981482326984, -0.12819594718253938, 0.20583800598978996, 0.26297293408152955, 0.07344279598240973, 0.19654608761270842, -0.3541469466686249, -0.12242766754856954, 0.1486763913805286, 0.14246765419685592, 0.07292126725117365, -0.03842286925297231, -0.2862212286610156, 0.07821186585351825, -0.18682820891340574, -0.17827917175988356, -0.037489343906442325, 0.024228665406505267, 0.042585630000879365, -0.20745814971625806, 0.015120796759923298, 0.12947129701574644, 0.12708318248488165, -0.10846636149100959, -0.12709738660603762, -0.0275983238282303, 0.15645991368840137, 0.010062193733950456, -0.09760046269123752, 0.08672903245935837, -0.10605861143829921, -0.14217680662870408, 0.40135528733332954, 0.0171602744422853, -0.16173434691503644, 0.1823656271273891, -0.20656252336533118, -0.1952191734686494, 0.10314397923648358, 0.1032767963502556, 0.1442602025469144, -0.010402841630081336, 0.14797802574699745, -0.15610279012471437, 0.02129418042798837, 0.10452349844078222, -0.005535862653826674, 0.12193954613680641, 0.08483526490628719, 0.022702783608498672, 0.11571798893623055, 0.00937688904814422, 0.005314761480937401, -0.35364713445305823, -0.23340144434322913, -0.13547745273914188, 0.03382510169719656, -0.12329042990944193, -0.20609923939531047, 0.47119062349200247, 0.12227487313250701, 0.1861466587598746, 0.08590405583381652, 0.18167388866345088, 0.0696443813542525, 0.11838540396342676, 0.013187544159591199, 0.14975948338707287, 0.24864987221856913, -0.01700636910274625, -0.1847603972768411, -0.010087328039420147, 0.15543847306321065] |
710.0777 | Beyond the Standard Model at the LHC and Beyond | Many of the open questions beyond the Standard Model will be addressed by the
LHC, including the origin of mass, supersymmetry, dark matter and the
possibility of large extra dimensions. A linear e+ e- collider (LC) with
sufficient centre-of-mass energy would add considerable value to the
capabilities of the LHC.
| hep-ph | many of the open questions beyond the standard model will be addressed by the lhc including the origin of mass supersymmetry dark matter and the possibility of large extra dimensions a linear e e collider lc with sufficient centreofmass energy would add considerable value to the capabilities of the lhc | [['many', 'of', 'the', 'open', 'questions', 'beyond', 'the', 'standard', 'model', 'will', 'be', 'addressed', 'by', 'the', 'lhc', 'including', 'the', 'origin', 'of', 'mass', 'supersymmetry', 'dark', 'matter', 'and', 'the', 'possibility', 'of', 'large', 'extra', 'dimensions', 'a', 'linear', 'e', 'e', 'collider', 'lc', 'with', 'sufficient', 'centreofmass', 'energy', 'would', 'add', 'considerable', 'value', 'to', 'the', 'capabilities', 'of', 'the', 'lhc']] | [-0.10225535109639168, 0.1920858214981854, -0.054714173832908275, 0.1083893969282508, -0.09909126527607441, -0.1837911361362785, -0.010550925275310874, 0.25870176941156386, -0.2547496165707707, -0.37528527691960334, 0.06246869422495365, -0.2705339454859495, 0.030984914973378182, 0.16021735034417361, 0.007016971614211798, 0.1299391731969081, 0.08908624283969402, 0.010810134522616864, -0.026548136305063964, -0.2930741203040816, 0.2663357557170093, 0.13758548628538847, 0.17154375061392785, 0.1341744743892923, 0.09909740196540952, 0.005004247515462339, -0.021172483335249126, -0.021042073527351022, -0.1444894121773541, 0.12373403316363692, 0.23897792041301727, 0.13365359131246804, 0.24201334912795575, -0.4157695037126541, -0.1794272349961102, 0.21506503336131572, 0.11109213823452592, 0.06937218150123954, -0.051826534438878295, -0.2830149775184691, 0.10100100615061819, -0.22385689734946937, -0.19861249352805316, -0.03005189400166273, 0.012072461117058992, -0.06405037768185139, -0.23461472863331437, 0.05523872472345829, 0.009252735739573836, 0.004630189500749111, -0.03194121797569096, -0.17246859913691878, -0.06303080949932337, -0.04544620874337852, 0.10135067633003927, -0.003966478500515223, 0.1650156231317669, -0.2262524626031518, -0.18434825616888703, 0.38122228749096393, -0.049224642626941206, -0.13101893974002451, 0.2313741410151124, -0.19109897998161615, -0.11499964603688567, 0.12363104596734047, 0.225125470161438, -0.01441399659961462, -0.18105669274926187, 0.24030333097907713, -0.018607332286192105, 0.1762279386515729, 0.05797435027081519, 0.07366852403618396, 0.31316786773502825, 0.22295989487320184, 0.07209558272617869, 0.042550562580581756, -0.08372760578989982, -0.022432251716963947, -0.4607906918227673, -0.11225477438420058, -0.09767305627465248, 0.056777471285313366, -0.04742971573927207, -0.03803977012634277, 0.3874785415828228, 0.1374476061668247, 0.2663449614495039, -0.03484364294912666, 0.2605999316088855, 0.07174175905412994, 0.10215828233223874, 0.034639409329683984, 0.3079152180161327, 0.08787372673396021, 0.16396718174219133, -0.23149911854416133, -0.056027431013062595, 0.01952487346716225] |
710.0778 | Study of lin||lin CPT for application in vapour cell atomic clocks | We evaluate the use of Coherent Population Trapping (CPT) excited with
parallely polarized laser fields in vapour cell atomic clocks. We study the
resonance shape, the discriminator slope and signal-to-noise ratio as a
function of relevant parameters such as the laser frequency detuning and the
applied magnetic field. We show that a stability of $6 \cdot 10^{-12}$
$\tau^{-1/2}$ may be reached in a compact system using a modulated VCSEL.
| physics.atom-ph | we evaluate the use of coherent population trapping cpt excited with parallely polarized laser fields in vapour cell atomic clocks we study the resonance shape the discriminator slope and signaltonoise ratio as a function of relevant parameters such as the laser frequency detuning and the applied magnetic field we show that a stability of 6 cdot 1012 tau12 may be reached in a compact system using a modulated vcsel | [['we', 'evaluate', 'the', 'use', 'of', 'coherent', 'population', 'trapping', 'cpt', 'excited', 'with', 'parallely', 'polarized', 'laser', 'fields', 'in', 'vapour', 'cell', 'atomic', 'clocks', 'we', 'study', 'the', 'resonance', 'shape', 'the', 'discriminator', 'slope', 'and', 'signaltonoise', 'ratio', 'as', 'a', 'function', 'of', 'relevant', 'parameters', 'such', 'as', 'the', 'laser', 'frequency', 'detuning', 'and', 'the', 'applied', 'magnetic', 'field', 'we', 'show', 'that', 'a', 'stability', 'of', '6', 'cdot', '1012', 'tau12', 'may', 'be', 'reached', 'in', 'a', 'compact', 'system', 'using', 'a', 'modulated', 'vcsel']] | [-0.15180188187978405, 0.20304319379932206, -0.023557508742247803, 0.042245388354944145, 0.023717373596045418, -0.12773185392058845, 0.07783569128293058, 0.4544107835685861, -0.2258550285604661, -0.28318202718957397, 0.04647265080753984, -0.18897532511070586, -0.07569045570098619, 0.24005243237859206, -0.005841268732657899, 0.026349271259581048, 8.867486663486646e-05, 0.0013557778961578574, -0.00025639696168186873, -0.15289512753108706, 0.2534273005347105, 0.04585247060817167, 0.2783389067263815, 0.0018595110867982326, 0.1152215742006682, -0.02367807826553674, 0.07900461844047127, -0.027543497663261234, -0.1188602778370757, 0.04030495444717615, 0.20481118226113418, 0.07875079351166885, 0.23168322838087013, -0.41356923010038293, -0.2001080057968426, 0.09805121024449666, 0.12591668057459596, 0.12956016871106366, -0.06641211847950151, -0.28136407575853495, 0.014769749311001404, -0.13851019862931277, -0.1690194873895118, -0.05689643535331108, -0.003177305020432433, 0.09405006312738186, -0.32832623486393603, 0.03383811736020489, 0.00315488804894351, 0.09808042007026033, -0.099492687597007, -0.08694842706630142, -0.017687598334463393, 0.06747060648057664, -0.023441821660684502, 0.08806408748057658, 0.24703905323142375, -0.11433627358812795, -0.06643919535386174, 0.3494200701352911, -0.18561099223671076, -0.12031072120357683, 0.12772057166296072, -0.20743971255918345, -0.05644213517560907, 0.13186198489173598, 0.1839262272933147, 0.14002222760809938, -0.07124277920145002, 0.04162966453072116, 0.016867339104899893, 0.2774912190448115, 0.17572984516458667, 0.08130679172261254, 0.22232655577523552, 0.19720708229241596, 0.05870127372200722, 0.14445291045020617, -0.1580359627749177, 0.0001516101908856544, -0.2605678602054283, -0.11218893219568375, -0.1532968241110633, 0.11445567806156864, -0.06685408077875922, -0.10318314776742372, 0.4155324847990836, 0.11924098168358045, 0.1775203514709205, -0.03956236945468582, 0.3219108301876248, 0.16466042726719077, 0.04930342068099349, -0.0019065752031578534, 0.28370578770620236, 0.19647384223366238, 0.08606857476432038, -0.280536827860751, -0.029792808758877756, -0.03523580141473508] |
710.0779 | Many-body methods for nuclear systems at subnuclear densities | This article provides a concise review of selected topics in the many-body
physics of low density nuclear systems. The discussion includes the
condensation of alpha particles in supernova envelopes, formation of three-body
bound states and the BEC-BCS crossover in dilute nuclear matter, and neutrino
production in $S$-wave paired superfluid neutron matter.
| nucl-th | this article provides a concise review of selected topics in the manybody physics of low density nuclear systems the discussion includes the condensation of alpha particles in supernova envelopes formation of threebody bound states and the becbcs crossover in dilute nuclear matter and neutrino production in swave paired superfluid neutron matter | [['this', 'article', 'provides', 'a', 'concise', 'review', 'of', 'selected', 'topics', 'in', 'the', 'manybody', 'physics', 'of', 'low', 'density', 'nuclear', 'systems', 'the', 'discussion', 'includes', 'the', 'condensation', 'of', 'alpha', 'particles', 'in', 'supernova', 'envelopes', 'formation', 'of', 'threebody', 'bound', 'states', 'and', 'the', 'becbcs', 'crossover', 'in', 'dilute', 'nuclear', 'matter', 'and', 'neutrino', 'production', 'in', 'swave', 'paired', 'superfluid', 'neutron', 'matter']] | [-0.12121064209963615, 0.2949465501542185, -0.11226532455332869, 0.15617467927536471, -0.023665004998774213, -0.10702815950464677, 0.04916751441344911, 0.2285493362475844, -0.16342656957168206, -0.26917105099396305, -0.07894027279689908, -0.32873695146511583, -0.012434574464956919, 0.09821114311104312, 0.08561648474093161, 0.03038297600898088, 0.020823127809254563, 0.013755016987595488, -0.14352457197930882, -0.23144430837219618, 0.38574504610333665, 0.021669773019704165, 0.21071413188588387, 0.13903015850148365, -0.02402867440718646, -0.008449943243142436, -0.03223335394503403, -0.11752801384849876, -0.22874987371923292, 0.05683971993857995, 0.3283250162268957, 0.07978843625488818, 0.1742425128160154, -0.4406665613071299, -0.22898743310760633, 0.08501747652303938, 0.20154449735841184, 0.17598642627982533, -0.14108765786331073, -0.3077975862349073, -0.08690061885863543, -0.3129747503382318, -0.1516731113889346, -0.059892434088111506, 0.04942292191416902, 0.03556516532804452, -0.19123597174663753, 0.16917797658300282, 0.027172027703593758, 0.01832550488795866, -0.09806704769988417, -0.16305582944815064, 0.06857297299247161, -0.008605306904178624, 0.031236413227138566, 0.022826473500269156, 0.2207522450389304, -0.27257630118972387, -0.023801473015006267, 0.4381652224955021, -0.05280995230628725, -0.034917425839047805, 0.22477471068793653, -0.21822534863124876, -0.14588706549622266, 0.1766201300071735, 0.1872078060873273, 0.08019368927560601, -0.17401100921572424, 0.08280719871753735, -0.0660645704209695, 0.1698375441745727, 0.017271030730768747, 0.09406054825890084, 0.32835087852150785, 0.2895457299937512, 0.00756176568421663, 0.09561740300234627, -0.10492844039154257, -0.1316290194232601, -0.3358672568665854, -0.12755270484565556, -0.1662106146150287, -0.0020285245743306246, 0.02011453000630033, -0.15654375184984767, 0.33391757870056465, 0.05507207097595229, 0.1546182784014473, -0.07780883803178429, 0.23877978344977485, 0.02518739890964592, -0.045047473819816816, 0.05442141435638655, 0.2693487631120518, 0.2671168272556993, 0.12206630722856988, -0.3120890130635862, -0.029459846808629876, 0.06769706649870119] |
710.078 | Intermediate-mass black holes and ultraluminous X-ray sources in the
Cartwheel ring galaxy | Chandra and XMM-Newton observations of the Cartwheel galaxy show ~17 bright
X-ray sources (>~5x10^38 erg s^-1), all within the gas-rich outer ring. We
explore the hypothesis that these X-ray sources are powered by
intermediate-mass black holes (IMBHs) accreting gas or undergoing mass transfer
from a stellar companion. To this purpose, we run N-body/SPH simulations of the
galaxy interaction which might have led to the formation of Cartwheel, tracking
the dynamical evolution of two different IMBH populations: halo and disc IMBHs.
Halo IMBHs cannot account for the observed X-ray sources, as only a few of them
cross the outer ring. Instead, more than half of the disc IMBHs are pulled in
the outer ring as a consequence of the galaxy collision. However, also in the
case of disc IMBHs, accretion from surrounding gas clouds cannot account for
the high luminosities of the observed sources. Finally, more than 500 disc
IMBHs are required to produce <~15 X-ray sources via mass transfer from very
young stellar companions. Such number of IMBHs is very large and implies
extreme assumptions. Thus, the hypothesis that all the observed X-ray sources
in Cartwheel are associated with IMBHs is hardly consistent with our
simulations, even if it is still possible that IMBHs account for the few
(<~1-5) brightest ultraluminous X-ray sources (ULXs).
| astro-ph | chandra and xmmnewton observations of the cartwheel galaxy show 17 bright xray sources 5x1038 erg s1 all within the gasrich outer ring we explore the hypothesis that these xray sources are powered by intermediatemass black holes imbhs accreting gas or undergoing mass transfer from a stellar companion to this purpose we run nbodysph simulations of the galaxy interaction which might have led to the formation of cartwheel tracking the dynamical evolution of two different imbh populations halo and disc imbhs halo imbhs cannot account for the observed xray sources as only a few of them cross the outer ring instead more than half of the disc imbhs are pulled in the outer ring as a consequence of the galaxy collision however also in the case of disc imbhs accretion from surrounding gas clouds cannot account for the high luminosities of the observed sources finally more than 500 disc imbhs are required to produce 15 xray sources via mass transfer from very young stellar companions such number of imbhs is very large and implies extreme assumptions thus the hypothesis that all the observed xray sources in cartwheel are associated with imbhs is hardly consistent with our simulations even if it is still possible that imbhs account for the few 15 brightest ultraluminous xray sources ulxs | [['chandra', 'and', 'xmmnewton', 'observations', 'of', 'the', 'cartwheel', 'galaxy', 'show', '17', 'bright', 'xray', 'sources', '5x1038', 'erg', 's1', 'all', 'within', 'the', 'gasrich', 'outer', 'ring', 'we', 'explore', 'the', 'hypothesis', 'that', 'these', 'xray', 'sources', 'are', 'powered', 'by', 'intermediatemass', 'black', 'holes', 'imbhs', 'accreting', 'gas', 'or', 'undergoing', 'mass', 'transfer', 'from', 'a', 'stellar', 'companion', 'to', 'this', 'purpose', 'we', 'run', 'nbodysph', 'simulations', 'of', 'the', 'galaxy', 'interaction', 'which', 'might', 'have', 'led', 'to', 'the', 'formation', 'of', 'cartwheel', 'tracking', 'the', 'dynamical', 'evolution', 'of', 'two', 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710.0781 | Interactive Visualization Package for 4D Lattice Field Theories | Recent interest in exploring local vacuum structure of QCD through the
properties of the eigenmodes of the lattice Dirac operators rises again the
challenge to visualize four-dimensional objects and structures which appear in
lattice field theories. In spite of complex and powerful commercial
visualization software packages on the market, there are reasons to develop
Interactive Visualization Package (IVP). We believe that an apprehension of the
complex structures is possible only through the interactive approach, with the
user being able to manipulate data representations and slices through the
lattice in real-time. Further insight should also be gained by an interactive
parallel examination of different physical quantities, e.g. eigenmode density
with topological charge or action densities. Finally, thanks to constantly
falling hardware prices, IVP makes it possible to use almost any Linux PC as a
visualization tool for research in lattice field theory.
| hep-lat | recent interest in exploring local vacuum structure of qcd through the properties of the eigenmodes of the lattice dirac operators rises again the challenge to visualize fourdimensional objects and structures which appear in lattice field theories in spite of complex and powerful commercial visualization software packages on the market there are reasons to develop interactive visualization package ivp we believe that an apprehension of the complex structures is possible only through the interactive approach with the user being able to manipulate data representations and slices through the lattice in realtime further insight should also be gained by an interactive parallel examination of different physical quantities eg eigenmode density with topological charge or action densities finally thanks to constantly falling hardware prices ivp makes it possible to use almost any linux pc as a visualization tool for research in lattice field theory | [['recent', 'interest', 'in', 'exploring', 'local', 'vacuum', 'structure', 'of', 'qcd', 'through', 'the', 'properties', 'of', 'the', 'eigenmodes', 'of', 'the', 'lattice', 'dirac', 'operators', 'rises', 'again', 'the', 'challenge', 'to', 'visualize', 'fourdimensional', 'objects', 'and', 'structures', 'which', 'appear', 'in', 'lattice', 'field', 'theories', 'in', 'spite', 'of', 'complex', 'and', 'powerful', 'commercial', 'visualization', 'software', 'packages', 'on', 'the', 'market', 'there', 'are', 'reasons', 'to', 'develop', 'interactive', 'visualization', 'package', 'ivp', 'we', 'believe', 'that', 'an', 'apprehension', 'of', 'the', 'complex', 'structures', 'is', 'possible', 'only', 'through', 'the', 'interactive', 'approach', 'with', 'the', 'user', 'being', 'able', 'to', 'manipulate', 'data', 'representations', 'and', 'slices', 'through', 'the', 'lattice', 'in', 'realtime', 'further', 'insight', 'should', 'also', 'be', 'gained', 'by', 'an', 'interactive', 'parallel', 'examination', 'of', 'different', 'physical', 'quantities', 'eg', 'eigenmode', 'density', 'with', 'topological', 'charge', 'or', 'action', 'densities', 'finally', 'thanks', 'to', 'constantly', 'falling', 'hardware', 'prices', 'ivp', 'makes', 'it', 'possible', 'to', 'use', 'almost', 'any', 'linux', 'pc', 'as', 'a', 'visualization', 'tool', 'for', 'research', 'in', 'lattice', 'field', 'theory']] | [-0.09209475530549249, 0.11165117646971262, -0.11846813453685043, 0.05349280649601277, -0.1371590284224441, -0.13358035749352887, 0.014256400506570274, 0.4202482315004929, -0.2759855680319593, -0.2931145605340547, 0.09910062067656521, -0.26125826843162164, -0.1567072823993756, 0.20425741639812245, -0.025488141390779023, 0.0636173407712304, 0.06216526424086236, 0.014569249899119984, -0.049611598186373236, -0.25277457437610107, 0.2913461071835395, 0.06193761531171118, 0.2946848349500421, 0.07457427621706791, 0.062498041984281695, 0.021023462967392294, -0.0313404465132601, 0.013193634903415087, -0.12035786346409591, 0.1526667772964013, 0.29610671512848624, 0.1430900807868927, 0.27098196344978526, -0.4667491425482675, -0.19456966221993063, 0.025366541097297312, 0.15505533230667257, 0.08840685481030547, -0.052928748760200664, -0.30443553316756977, 0.07543455647529228, -0.16907095516774248, -0.15465857342532868, -0.15099121751065583, 0.018632164715412767, -0.02725159574683148, -0.21709790469043233, 0.005761916782411397, -0.0067970697464196815, 0.08872934718160554, -0.04497834554946063, -0.056531474900808426, -0.04789137110074467, 0.14990642761435122, 0.06202995848382909, 0.04320236293521399, 0.144817126340213, -0.16500033944158266, -0.14216262407448962, 0.4166875944888972, 0.007807010141984025, -0.1886462104368083, 0.21720068546421561, -0.1024673928486857, -0.12021511538839298, 0.12726723773781448, 0.17334573332827988, 0.059247664420626865, -0.13823279855378195, 0.10294399113131766, -0.011837588962504362, 0.18423135934483445, 0.04343683418903685, 0.03349498754486124, 0.26128705315529666, 0.1529964675651269, 0.0581568626865269, 0.1404335761421314, -0.007147012524478507, -0.11629267855661307, -0.2394035069060558, -0.1794630357341722, -0.14957300278338345, 0.04488782718173288, -0.0993456372588498, -0.20204144283627154, 0.3735978921663994, 0.19166148022801371, 0.14933572954940774, -0.017682553433271533, 0.3146017390098555, 0.06249110814818042, 0.10244314475744593, 0.09566075391472971, 0.15035708514306403, 0.08951826727988714, 0.14575272276568232, -0.16153083650349037, 0.003580671643048974, 0.04818025602404266] |
710.0782 | Metadynamic sampling of the free energy landscapes of proteins coupled
with a Monte Carlo algorithm | Metadynamics is a powerful computational tool to obtain the free energy
landscape of complex systems. The Monte Carlo algorithm has proven useful to
calculate thermodynamic quantities associated with simplified models of
proteins, and thus to gain an ever-increasing understanding on the general
principles underlying the mechanism of protein folding. We show that it is
possible to couple metadynamics and Monte Carlo algorithms to obtain the free
energy of model proteins in a way which is computationally very economical.
| cond-mat.stat-mech q-bio.BM | metadynamics is a powerful computational tool to obtain the free energy landscape of complex systems the monte carlo algorithm has proven useful to calculate thermodynamic quantities associated with simplified models of proteins and thus to gain an everincreasing understanding on the general principles underlying the mechanism of protein folding we show that it is possible to couple metadynamics and monte carlo algorithms to obtain the free energy of model proteins in a way which is computationally very economical | [['metadynamics', 'is', 'a', 'powerful', 'computational', 'tool', 'to', 'obtain', 'the', 'free', 'energy', 'landscape', 'of', 'complex', 'systems', 'the', 'monte', 'carlo', 'algorithm', 'has', 'proven', 'useful', 'to', 'calculate', 'thermodynamic', 'quantities', 'associated', 'with', 'simplified', 'models', 'of', 'proteins', 'and', 'thus', 'to', 'gain', 'an', 'everincreasing', 'understanding', 'on', 'the', 'general', 'principles', 'underlying', 'the', 'mechanism', 'of', 'protein', 'folding', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'couple', 'metadynamics', 'and', 'monte', 'carlo', 'algorithms', 'to', 'obtain', 'the', 'free', 'energy', 'of', 'model', 'proteins', 'in', 'a', 'way', 'which', 'is', 'computationally', 'very', 'economical']] | [-0.049027019526618414, 0.10845686567410713, -0.14737217322899362, 0.18533283362660605, -0.06613853304551388, -0.15530019813479903, 0.05241186969364301, 0.41117573765894544, -0.30605725423456764, -0.34415339912550574, 0.017508474690541148, -0.21441412250397918, -0.17090775054963067, 0.23460516021646655, -0.015025528756758342, 0.05798265195857638, 0.1040498754964807, 0.005572475086993132, -0.012282446729025254, -0.18820196294631714, 0.1929027595831893, 0.17686231437927255, 0.26804274707459486, 0.05667290397776434, 0.13078066704269403, -0.02505221771291242, 0.011992150326617636, -0.026311064353929117, -0.22409791679269686, 0.194089265468602, 0.25893480564940174, 0.12012126357055819, 0.25718331396675265, -0.43644348247788656, -0.2692007331464153, 0.14142980415505382, 0.14251160182249853, 0.16380285163624927, -0.04811427017035058, -0.19579389084799168, 0.09358071760895352, -0.15962080389726907, -0.14423743244976953, -0.1962637935215846, -0.03903304347887826, 0.00031480613427284436, -0.2371045658006691, 0.06817567500118644, -0.043599782309357606, 0.02643205964854226, -0.024535257760315943, -0.0926612540288494, -0.043838571527232535, 0.10601951965154746, 0.06326818873192398, 0.04648044561513533, 0.15617879113564506, -0.13069014049147087, -0.13634573347950116, 0.39771957045946366, 0.026567431178708106, -0.22080558402320513, 0.2572066211559547, -0.03314591778251223, -0.16871637762643588, 0.18749865556422335, 0.13982115287142685, 0.14902192862847677, -0.2271174566151622, 0.10618148510529397, 0.04186354557243295, 0.16526924596669582, -0.06871639731793831, -0.018367597745964304, 0.1623261500424586, 0.22485800542964193, 0.06121801665554253, 0.16492745000869036, -0.039559988040053166, -0.20479201362244426, -0.20691674730430046, -0.20013788174121425, -0.20820758112956986, 0.07487520494928154, -0.0932015341416282, -0.2183365155584537, 0.3626678180045042, 0.18100695263069028, 0.11324310877049963, 0.07168210780051035, 0.3008094726799008, 0.08632708605951987, 0.05400019924407108, 0.021753968557533927, 0.1622962315286247, 0.13688964444475296, 0.06278151102387944, -0.2220407839363011, 0.07461311504877625, 0.07314421435913597] |
710.0783 | Kramers-Wannier dualities for WZW theories and minimal models | We study Kramers-Wannier dualities for Wess-Zumino-Witten theories and
(super-)minimal models in the Cardy case, i.e. the case with bulk partition
function given by charge conjugation. Using the TFT approach to full rational
conformal field theories, we classify those dualities that preserve all chiral
symmetries. Dualities turn out to exist for small levels only.
| hep-th | we study kramerswannier dualities for wesszuminowitten theories and superminimal models in the cardy case ie the case with bulk partition function given by charge conjugation using the tft approach to full rational conformal field theories we classify those dualities that preserve all chiral symmetries dualities turn out to exist for small levels only | [['we', 'study', 'kramerswannier', 'dualities', 'for', 'wesszuminowitten', 'theories', 'and', 'superminimal', 'models', 'in', 'the', 'cardy', 'case', 'ie', 'the', 'case', 'with', 'bulk', 'partition', 'function', 'given', 'by', 'charge', 'conjugation', 'using', 'the', 'tft', 'approach', 'to', 'full', 'rational', 'conformal', 'field', 'theories', 'we', 'classify', 'those', 'dualities', 'that', 'preserve', 'all', 'chiral', 'symmetries', 'dualities', 'turn', 'out', 'to', 'exist', 'for', 'small', 'levels', 'only']] | [-0.13223182571665296, 0.12517594861059958, -0.029239046844249626, 0.11781048562975144, -0.054649370344672, -0.2202000273040162, 0.0019777770997640096, 0.3197490206023432, -0.20719448424313427, -0.2444296526582033, 0.02998314550770271, -0.2914198311792581, -0.20634528037318783, 0.06222095656788574, -0.04607580248749692, 0.015119789800835106, -0.07619561908661195, 0.001792456550558783, -0.15725775662686606, -0.29055341340179713, 0.3203815006000816, -0.026883559266351303, 0.3121714214706477, 0.04028483026854272, 0.06274642412252021, 0.01131019063891386, 0.051649490933654445, 0.03307770345500618, -0.16259924053142555, 0.06895176323025294, 0.2864873356014663, 0.05174067634913438, 0.08030786513755063, -0.45516478804484856, -0.2422193587353488, 0.09034215342604889, 0.1319569381665579, 0.13819906899248655, 0.01701845570010537, -0.28067160140336406, 0.11434650623002353, -0.1820123372950925, -0.1417769244520591, -0.16229451740301162, -0.00973527855020157, -0.09943744951402242, -0.2648396697949688, 0.03412669600989177, 0.04179541104613751, 0.10882976462291379, -0.08578806243977456, -0.039989022792861706, -0.11738808839669768, 0.14357251897102818, 0.12026153200411431, 0.03946200387446948, 0.11907014393089514, -0.2050557634793222, -0.1689901260158293, 0.32632418658654644, -0.006164560727072212, -0.26082793117131825, 0.17552661031642752, -0.164947841804088, -0.24293533412142182, 0.0807147509295423, 0.01829025622035535, 0.1787061037864747, -0.08697606965829179, 0.20871960709007667, -0.08838735975957704, 0.07595622313938122, 0.1080511230623947, 0.006593562548382665, 0.26928184529379856, 0.004279968768077076, 0.021284199205561065, 0.14385164044094537, 0.05456060438223605, -0.1452883336789695, -0.3997864714770947, -0.1361661077090451, -0.1019405929288247, 0.1209026456388803, -0.09248899895986674, -0.13082554476019345, 0.36202952935237365, 0.15997603359354334, 0.13548804111427293, 0.11325433077114933, 0.1410852987319231, 0.11996759874921925, 0.13187631623784327, 0.010994062786438625, 0.158196635390544, 0.17468007407063302, 0.013558753807853275, -0.19650793433923028, -0.15053186814722447, 0.2467996797717686] |
710.0784 | Time-dependent Effects in Photospheric-Phase Type II Supernova Spectra | Spectroscopic modeling of Type II supernovae (SNe) generally assumes
steady-state. Following the recent suggestion of Utrobin & Chugai, but using
the 1D non-LTE line-blanketed model atmosphere code CMFGEN, we investigate the
effects of including time-dependent terms that appear in the statistical and
radiative equilibrium equations. We base our discussion on the ejecta
properties and the spectroscopic signatures obtained from time-dependent
simulations, investigating different ejecta configurations, and covering their
evolution from one day to six weeks after shock breakout. Compared to
equivalent steady-state models, our time-dependent models produce SN ejecta
that are systematically over-ionized, affecting helium at one week after
explosion, but ultimately affecting all ions after a few weeks. While the
continuum remains essentially unchanged, time-dependence effects on observed
spectral lines are large. At the recombination epoch, HI lines and NaID are
considerably stronger and broader than in equivalent steady-state models, while
CaII8500A is weakened. If time dependence is allowed for, the HeI lines at
5875A and 10830A appear about 3 times stronger at one week, and HeI10830A
persists as a blue-shifted absorption feature even at 6 weeks after explosion.
Time dependence operates through the energy gain from changes in ionization and
excitation, and, perhaps more universally across SN types, from the competition
between recombination and expansion, which in-turn, can be affected by
optical-depth effects. Our time-dependent models compare well with observations
of the low-luminosity low-velocity SN 1999br and the more standard SN 1999em,
reproducing the Halpha line strength at the recombination epoch, and without
the need for setting unphysical requirements on the magnitude of nickel mixing.
| astro-ph | spectroscopic modeling of type ii supernovae sne generally assumes steadystate following the recent suggestion of utrobin chugai but using the 1d nonlte lineblanketed model atmosphere code cmfgen we investigate the effects of including timedependent terms that appear in the statistical and radiative equilibrium equations we base our discussion on the ejecta properties and the spectroscopic signatures obtained from timedependent simulations investigating different ejecta configurations and covering their evolution from one day to six weeks after shock breakout compared to equivalent steadystate models our timedependent models produce sn ejecta that are systematically overionized affecting helium at one week after explosion but ultimately affecting all ions after a few weeks while the continuum remains essentially unchanged timedependence effects on observed spectral lines are large at the recombination epoch hi lines and naid are considerably stronger and broader than in equivalent steadystate models while caii8500a is weakened if time dependence is allowed for the hei lines at 5875a and 10830a appear about 3 times stronger at one week and hei10830a persists as a blueshifted absorption feature even at 6 weeks after explosion time dependence operates through the energy gain from changes in ionization and excitation and perhaps more universally across sn types from the competition between recombination and expansion which inturn can be affected by opticaldepth effects our timedependent models compare well with observations of the lowluminosity lowvelocity sn 1999br and the more standard sn 1999em reproducing the halpha line strength at the recombination epoch and without the need for setting unphysical requirements on the magnitude of nickel mixing | [['spectroscopic', 'modeling', 'of', 'type', 'ii', 'supernovae', 'sne', 'generally', 'assumes', 'steadystate', 'following', 'the', 'recent', 'suggestion', 'of', 'utrobin', 'chugai', 'but', 'using', 'the', 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710.0785 | Development of an n-channel CCD, CCD-NeXT1, for Soft X-ray Imager
onboard the NeXT satellite | NeXT (New X-ray Telescope) is the next Japanese X-ray astronomical satellite
mission after the Suzaku satellite. NeXT aims to perform wide band imaging
spectroscopy. Due to the successful development of a multilayer coated mirror,
called a supermirror, NeXT can focus X-rays in the energy range from 0.1 keV up
to 80 keV. To cover this wide energy range, we are in the process of developing
a hybrid X-ray camera, Wideband X-ray Imager (WXI) as a focal plane detector of
the supermirror. The WXI consists of X-ray CCDs (SXI) and CdTe pixelized
detectors (HXI), which cover the lower and higher X-ray energy bands of 0.1-80
keV, respectively. The X-ray CCDs of the SXI are stacked above the CdTe
pixelized detectors of the HXI. The X-ray CCDs of the SXI detect soft X-rays
below $\sim$ 10 keV and allow hard X-rays pass into the CdTe detectors of the
HXI without loss. Thus, we have been developing a "back-supportless CCD" with a
thick depletion layer, a thinned silicon wafer, and a back-supportless
structure. In this paper, we report the development and performances of an
evaluation model of CCD for the SXI, "CCD-NeXT1". We successfully fabricated
two types of CCD-NeXT1, unthinned CCDs with 625-um thick wafer and 150-um thick
thinned CCDs. By omitting the polishing process when making the thinned CCDs,
we confirmed that the polishing process does not impact the X-ray performance.
In addition, we did not find significant differences in the X-ray performance
between the two types of CCDs. The energy resolution and readout noise are
$\sim$ 140 eV (FWHM) at 5.9 keV and $\sim$5 electrons (RMS), respectively. The
estimated thickness of the depletion layer is $\sim$80 um. The performances
almost satisfy the requirements of the baseline plan of the SXI.
| astro-ph | next new xray telescope is the next japanese xray astronomical satellite mission after the suzaku satellite next aims to perform wide band imaging spectroscopy due to the successful development of a multilayer coated mirror called a supermirror next can focus xrays in the energy range from 01 kev up to 80 kev to cover this wide energy range we are in the process of developing a hybrid xray camera wideband xray imager wxi as a focal plane detector of the supermirror the wxi consists of xray ccds sxi and cdte pixelized detectors hxi which cover the lower and higher xray energy bands of 0180 kev respectively the xray ccds of the sxi are stacked above the cdte pixelized detectors of the hxi the xray ccds of the sxi detect soft xrays below sim 10 kev and allow hard xrays pass into the cdte detectors of the hxi without loss thus we have been developing a backsupportless ccd with a thick depletion layer a thinned silicon wafer and a backsupportless structure in this paper we report the development and performances of an evaluation model of ccd for the sxi ccdnext1 we successfully fabricated two types of ccdnext1 unthinned ccds with 625um thick wafer and 150um thick thinned ccds by omitting the polishing process when making the thinned ccds we confirmed that the polishing process does not impact the xray performance in addition we did not find significant differences in the xray performance between the two types of ccds the energy resolution and readout noise are sim 140 ev fwhm at 59 kev and sim5 electrons rms respectively the estimated thickness of the depletion layer is sim80 um the performances almost satisfy the requirements of the baseline plan of the sxi | [['next', 'new', 'xray', 'telescope', 'is', 'the', 'next', 'japanese', 'xray', 'astronomical', 'satellite', 'mission', 'after', 'the', 'suzaku', 'satellite', 'next', 'aims', 'to', 'perform', 'wide', 'band', 'imaging', 'spectroscopy', 'due', 'to', 'the', 'successful', 'development', 'of', 'a', 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710.0786 | Measurements of the observed cross sections for exclusive light hadron
production in e^+e^- annihilation at \sqrt{s}= 3.773 and 3.650 GeV | By analyzing the data sets of 17.3 pb$^{-1}$ taken at $\sqrt{s}=3.773$ GeV
and 6.5 pb$^{-1}$ taken at $\sqrt{s}=3.650$ GeV with the BESII detector at the
BEPC collider, we have measured the observed cross sections for 12 exclusive
light hadron final states produced in $e^+e^-$ annihilation at the two energy
points. We have also set the upper limits on the observed cross sections and
the branching fractions for $\psi(3770)$ decay to these final states at 90%
C.L.
| hep-ex | by analyzing the data sets of 173 pb1 taken at sqrts3773 gev and 65 pb1 taken at sqrts3650 gev with the besii detector at the bepc collider we have measured the observed cross sections for 12 exclusive light hadron final states produced in ee annihilation at the two energy points we have also set the upper limits on the observed cross sections and the branching fractions for psi3770 decay to these final states at 90 cl | [['by', 'analyzing', 'the', 'data', 'sets', 'of', '173', 'pb1', 'taken', 'at', 'sqrts3773', 'gev', 'and', '65', 'pb1', 'taken', 'at', 'sqrts3650', 'gev', 'with', 'the', 'besii', 'detector', 'at', 'the', 'bepc', 'collider', 'we', 'have', 'measured', 'the', 'observed', 'cross', 'sections', 'for', '12', 'exclusive', 'light', 'hadron', 'final', 'states', 'produced', 'in', 'ee', 'annihilation', 'at', 'the', 'two', 'energy', 'points', 'we', 'have', 'also', 'set', 'the', 'upper', 'limits', 'on', 'the', 'observed', 'cross', 'sections', 'and', 'the', 'branching', 'fractions', 'for', 'psi3770', 'decay', 'to', 'these', 'final', 'states', 'at', '90', 'cl']] | [-0.017621482392362515, 0.20637110360947095, -0.07334581645524227, 0.15009721609347157, 0.06648684253205399, -0.06751217753748949, 0.08218331734870414, 0.3200841195954892, -0.13428702329187409, -0.34088484432523775, -0.015572785373813914, -0.4608398196042368, 0.20075599577179865, 0.20767411091181107, 0.1762037008241015, 0.1521509397333782, 0.17273020309298054, 0.005517944185014226, 0.008232897130686692, -0.27892890035812007, 0.23529241687471145, 0.09635732852314648, 0.24683340778574347, 0.15566563594007962, 0.10072643094310096, 0.04451239296835602, -0.040377888957185575, -0.08997481932716542, -0.16313250473161278, 0.05535733456551833, 0.29382902231851693, 0.09179351943863653, 0.07646533273356526, -0.3331995029982768, 0.023630771295804726, 0.17684570416244433, 0.11381656705175135, -0.003902697347496685, -0.0006906904209723794, -0.39613277077870934, 0.14449385073232024, -0.17960622053789466, -0.06306817747137852, 0.04348333465474609, 0.05675473290274998, -0.10632885558726757, -0.27413414495899097, 0.05786465942564016, -0.11337948909357165, 0.09493122081613892, -0.06667630600216064, -0.30368994463137106, -0.09898735978946972, -0.06890799231386106, 0.00894418265670538, 0.025038476151071097, 0.2126244311833656, -0.07347429574369208, -0.19362129630079786, 0.30422739248330655, -0.04182478859921072, -0.08295760864980127, 0.1631000609700813, -0.26057583513351057, -0.1549813283429677, 0.26314134064963773, 0.32622736986530454, -0.01703553888824229, -0.208114193801425, 0.09004468941221651, 0.01405669441201577, 0.14201379508564346, 0.15126006490256833, 0.08256978166020035, 0.20635180824281538, 0.20316332181162006, -0.0568643922574426, 0.043723682733559, -0.22012797175404175, -0.00780702128663267, -0.445512791683493, -0.05461995372560954, -0.031246645490969775, 0.0876669911790247, -0.006573292646958419, 0.029851231993617194, 0.3380875434040239, 0.021314864377736262, 0.4061052627910517, 0.027698047232421998, 0.263508442811527, 0.1304191238674608, 0.05802255520469962, 0.08528514329928409, 0.38244117508446307, 0.1202566786332203, 0.1840348181032919, -0.17448285663206325, 0.020695195848882002, -0.00848549703062561] |
710.0787 | Dynamics of Fractal Solids | We describe the fractal solid by a special continuous medium model. We
propose to describe the fractal solid by a fractional continuous model, where
all characteristics and fields are defined everywhere in the volume but they
follow some generalized equations which are derived by using integrals of
fractional order. The order of fractional integral can be equal to the fractal
mass dimension of the solid. Fractional integrals are considered as an
approximation of integrals on fractals. We suggest the approach to compute the
moments of inertia for fractal solids. The dynamics of fractal solids are
described by the usual Euler's equations. The possible experimental test of the
continuous medium model for fractal solids is considered.
| physics.class-ph | we describe the fractal solid by a special continuous medium model we propose to describe the fractal solid by a fractional continuous model where all characteristics and fields are defined everywhere in the volume but they follow some generalized equations which are derived by using integrals of fractional order the order of fractional integral can be equal to the fractal mass dimension of the solid fractional integrals are considered as an approximation of integrals on fractals we suggest the approach to compute the moments of inertia for fractal solids the dynamics of fractal solids are described by the usual eulers equations the possible experimental test of the continuous medium model for fractal solids is considered | [['we', 'describe', 'the', 'fractal', 'solid', 'by', 'a', 'special', 'continuous', 'medium', 'model', 'we', 'propose', 'to', 'describe', 'the', 'fractal', 'solid', 'by', 'a', 'fractional', 'continuous', 'model', 'where', 'all', 'characteristics', 'and', 'fields', 'are', 'defined', 'everywhere', 'in', 'the', 'volume', 'but', 'they', 'follow', 'some', 'generalized', 'equations', 'which', 'are', 'derived', 'by', 'using', 'integrals', 'of', 'fractional', 'order', 'the', 'order', 'of', 'fractional', 'integral', 'can', 'be', 'equal', 'to', 'the', 'fractal', 'mass', 'dimension', 'of', 'the', 'solid', 'fractional', 'integrals', 'are', 'considered', 'as', 'an', 'approximation', 'of', 'integrals', 'on', 'fractals', 'we', 'suggest', 'the', 'approach', 'to', 'compute', 'the', 'moments', 'of', 'inertia', 'for', 'fractal', 'solids', 'the', 'dynamics', 'of', 'fractal', 'solids', 'are', 'described', 'by', 'the', 'usual', 'eulers', 'equations', 'the', 'possible', 'experimental', 'test', 'of', 'the', 'continuous', 'medium', 'model', 'for', 'fractal', 'solids', 'is', 'considered']] | [-0.10895613968250868, 0.16578785290083667, -0.09634294464941258, 0.10083581417920473, -0.045254068550370306, -0.06581276379039754, -0.017614679714745802, 0.3167052355149518, -0.2993477171529894, -0.24678521776652854, 0.10381049713747495, -0.2651802041142693, -0.16036520915348892, 0.1841632593686328, -0.03378881215239349, 0.09688345971314803, -0.06249652475968975, 0.025964796854911938, -0.054969189791312524, -0.23224097785904355, 0.34131239917453216, -0.024113882467677088, 0.20564339957807376, 0.0119637711621497, 0.11063126681129569, -0.044524406593130984, -0.06593652012069588, 0.05134658414222624, -0.18188759105522995, 0.12488762161330036, 0.18909993473764347, -0.001093257463577649, 0.21215958213028702, -0.45733001671083595, -0.25689804117478754, 0.06774695066978102, 0.1076988209767834, 0.03992136991076657, 0.02514484770413812, -0.2700909086462596, 0.04207012397996352, -0.14985005447802985, -0.23332109098201212, -0.1359152862680671, 0.060397140037916276, 0.09298910019595338, -0.23414603200862588, 0.12823612888181662, 0.06926548562478274, 0.012358691162713195, -0.11526518806450717, -0.12807170663271908, -0.023837443518087916, 0.08271279206965118, 0.00590771091595778, -0.0018253449431580046, 0.10731829729174143, -0.1096742623875363, -0.12566102203791557, 0.44602462739643195, -0.03414605610659751, -0.2766481344466624, 0.1599503919178539, -0.19166998608118813, -0.08440986898849191, 0.14976075397419703, 0.1917707319735833, 0.11973154755795132, -0.17469832132691923, 0.08483103016428092, -0.06164788655005395, 0.10734293436550575, 0.06318755725236691, -0.0027937525964301566, 0.14884193355784467, 0.14159461293855438, 0.020717950230059415, 0.16307177020327956, -0.04346470500990424, -0.15080994532048783, -0.31371857449412344, -0.1919763349685008, -0.2394359004855885, 0.05285727220951863, -0.1362664450971035, -0.21065658241834329, 0.35356133680628693, 0.11274688416768028, 0.15122964944609482, 0.042506497370524574, 0.2290698331821224, 0.20273602227376694, 0.04534448950915881, 0.043644517488048776, 0.20112936295412034, 0.12815103377822948, 0.08683176155849967, -0.16943607239619546, 0.03936060912016293, 0.15251550799964564] |
710.0788 | Mapping Cartesian Coordinates into Emission Coordinates: some Toy Models | After briefly reviewing the relativistic approach to positioning systems
based on the introduction of the emission coordinates, we show how explicit
maps can be obtained between the Cartesian coordinates and the emission
coordinates, for suitably chosen set of emitters, whose world-lines are
supposed to be known by the users. We consider Minkowski space-time and the
space-time where a small inhomogeineity is introduced (i.e. a small
"gravitational" field), both in 1+1 and 1+3 dimensions.
| gr-qc | after briefly reviewing the relativistic approach to positioning systems based on the introduction of the emission coordinates we show how explicit maps can be obtained between the cartesian coordinates and the emission coordinates for suitably chosen set of emitters whose worldlines are supposed to be known by the users we consider minkowski spacetime and the spacetime where a small inhomogeineity is introduced ie a small gravitational field both in 11 and 13 dimensions | [['after', 'briefly', 'reviewing', 'the', 'relativistic', 'approach', 'to', 'positioning', 'systems', 'based', 'on', 'the', 'introduction', 'of', 'the', 'emission', 'coordinates', 'we', 'show', 'how', 'explicit', 'maps', 'can', 'be', 'obtained', 'between', 'the', 'cartesian', 'coordinates', 'and', 'the', 'emission', 'coordinates', 'for', 'suitably', 'chosen', 'set', 'of', 'emitters', 'whose', 'worldlines', 'are', 'supposed', 'to', 'be', 'known', 'by', 'the', 'users', 'we', 'consider', 'minkowski', 'spacetime', 'and', 'the', 'spacetime', 'where', 'a', 'small', 'inhomogeineity', 'is', 'introduced', 'ie', 'a', 'small', 'gravitational', 'field', 'both', 'in', '11', 'and', '13', 'dimensions']] | [-0.13005179049084997, 0.13008518483386272, -0.03727959877707892, 0.07557278206837105, -0.046133246641450874, -0.12551179110434735, -0.017850701902514428, 0.3698739729718202, -0.21040257105940124, -0.2903612185683515, 0.10169112526960412, -0.26243192105579916, -0.1257081353234955, 0.15997195357663763, -0.05096457593188259, -0.013128546648658812, -0.00910761374527485, 0.040697905260862574, -0.09457773133827788, -0.24008734323595288, 0.3664958673115406, 0.06802595696515507, 0.22568361673297155, -0.008532421068391867, 0.15865405491786078, 0.015244677036308631, -0.06502738887340659, 0.08459859589088915, -0.1021037250627867, 0.11179596125455443, 0.18512341530165738, 0.1409382104272178, 0.20554178018614444, -0.4204097839926059, -0.18256540033811083, 0.06590317211197948, 0.16261175745037487, 0.1337974581417964, -0.023411196418843854, -0.35494138326288927, 0.026489389850111265, -0.12403060988678287, -0.15574855929137105, -0.04605079609771363, 0.037981089607152775, 0.05930159277179175, -0.2231086342896257, 0.007188946370863252, 0.02041000162393579, 0.04301299796336227, -0.0654522436772014, -0.05629957171752014, -0.017988939598176837, 0.10059928811905491, 0.048511430900867306, 0.037554792497151844, 0.1473075416094313, -0.06172717679550664, -0.09747786504319972, 0.45238312892615795, -0.0383631344496583, -0.28107669698591864, 0.1469786212773114, -0.1767100854453424, -0.09347095154549202, 0.11114746463459192, 0.1665454641269106, 0.14985089915959784, -0.17783408200678727, 0.10530448530092447, 0.007010358689715051, 0.14040564355026516, 0.10989784276656185, 0.05208477231725636, 0.23028222567194867, 0.0702430301785676, 0.02347485552309081, 0.12257950587081723, -0.09647314505612788, -0.09259699573481663, -0.37756128411274403, -0.1268910708086979, -0.18809985435412577, 0.07938333762447453, -0.11430232696329767, -0.13762993439255902, 0.3486451680461566, 0.12522274969119784, 0.19043926725518961, 0.030107780049244564, 0.2548973952167823, 0.10737913086409713, 0.043986604312117886, 0.1283727116695243, 0.2651470437542432, 0.10404487879390621, 0.07359824871916014, -0.15789081290131435, -0.0520487395955974, 0.10726169362250301] |
710.0789 | Wireless Local Area Networks with Multiple-Packet Reception Capability | Thanks to its simplicity and cost efficiency, wireless local area network
(WLAN) enjoys unique advantages in providing high-speed and low-cost wireless
services in hot spots and indoor environments. Traditional WLAN
medium-access-control (MAC) protocols assume that only one station can transmit
at a time: simultaneous transmissions of more than one station causes the
destruction of all packets involved. By exploiting recent advances in PHY-layer
multiuser detection (MUD) techniques, it is possible for a receiver to receive
multiple packets simultaneously. This paper argues that such multipacket
reception (MPR) capability can greatly enhance the capacity of future WLANs. In
addition, it provides the MAC-layer and PHY-layer designs needed to achieve the
improved capacity. First, to demonstrate MUD/MPR as a powerful
capacity-enhancement technique, we prove a "super-linearity" result, which
states that the system throughput per unit cost increases as the MPR capability
increases. Second, we show that the commonly deployed binary exponential
backoff (BEB) algorithm in today's WLAN MAC may not be optimal in an MPR
system, and that the optimal backoff factor increases with the MPR capability:
the number of packets that can be received simultaneously. Third, based on the
above insights, we design a joint MAC-PHY layer protocol for an IEEE
802.11-like WLAN that incorporates advanced PHY-layer blind detection and MUD
techniques to implement MPR
| cs.PF cs.NI | thanks to its simplicity and cost efficiency wireless local area network wlan enjoys unique advantages in providing highspeed and lowcost wireless services in hot spots and indoor environments traditional wlan mediumaccesscontrol mac protocols assume that only one station can transmit at a time simultaneous transmissions of more than one station causes the destruction of all packets involved by exploiting recent advances in phylayer multiuser detection mud techniques it is possible for a receiver to receive multiple packets simultaneously this paper argues that such multipacket reception mpr capability can greatly enhance the capacity of future wlans in addition it provides the maclayer and phylayer designs needed to achieve the improved capacity first to demonstrate mudmpr as a powerful capacityenhancement technique we prove a superlinearity result which states that the system throughput per unit cost increases as the mpr capability increases second we show that the commonly deployed binary exponential backoff beb algorithm in todays wlan mac may not be optimal in an mpr system and that the optimal backoff factor increases with the mpr capability the number of packets that can be received simultaneously third based on the above insights we design a joint macphy layer protocol for an ieee 80211like wlan that incorporates advanced phylayer blind detection and mud techniques to implement mpr | [['thanks', 'to', 'its', 'simplicity', 'and', 'cost', 'efficiency', 'wireless', 'local', 'area', 'network', 'wlan', 'enjoys', 'unique', 'advantages', 'in', 'providing', 'highspeed', 'and', 'lowcost', 'wireless', 'services', 'in', 'hot', 'spots', 'and', 'indoor', 'environments', 'traditional', 'wlan', 'mediumaccesscontrol', 'mac', 'protocols', 'assume', 'that', 'only', 'one', 'station', 'can', 'transmit', 'at', 'a', 'time', 'simultaneous', 'transmissions', 'of', 'more', 'than', 'one', 'station', 'causes', 'the', 'destruction', 'of', 'all', 'packets', 'involved', 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710.079 | Water maser variability over 20 years in a large sample of star-forming
regions: the complete database | Context. Water vapor emission at 22 GHz from masers associated with
star-forming regions is highly variable. Aims. We present a database of up to
20 years of monitoring of a sample of 43 masers within star-forming regions.
The sample covers a large range of luminosities of the associated IRAS source
and is representative of the entire population of H2O masers of this type. The
database forms a good starting point for any further study of H2O maser
variability. Methods. The observations were obtained with the Medicina 32-m
radiotelescope, at a rate of 4-5 observations per year. Results. To provide a
database that can be easily accessed through the web, we give for each source:
plots of the calibrated spectra, the velocity-time-flux density plot, the light
curve of the integrated flux, the lower and upper envelopes of the maser
emission, the mean spectrum, and the rate of the maser occurrence as a function
of velocity. Figures for just one source are given in the text for
representative purposes. Figures for all the sources are given in electronic
form in the on-line appendix. A discussion of the main properties of the H2O
variability in our sample will be presented in a forthcoming paper.
| astro-ph | context water vapor emission at 22 ghz from masers associated with starforming regions is highly variable aims we present a database of up to 20 years of monitoring of a sample of 43 masers within starforming regions the sample covers a large range of luminosities of the associated iras source and is representative of the entire population of h2o masers of this type the database forms a good starting point for any further study of h2o maser variability methods the observations were obtained with the medicina 32m radiotelescope at a rate of 45 observations per year results to provide a database that can be easily accessed through the web we give for each source plots of the calibrated spectra the velocitytimeflux density plot the light curve of the integrated flux the lower and upper envelopes of the maser emission the mean spectrum and the rate of the maser occurrence as a function of velocity figures for just one source are given in the text for representative purposes figures for all the sources are given in electronic form in the online appendix a discussion of the main properties of the h2o variability in our sample will be presented in a forthcoming paper | [['context', 'water', 'vapor', 'emission', 'at', '22', 'ghz', 'from', 'masers', 'associated', 'with', 'starforming', 'regions', 'is', 'highly', 'variable', 'aims', 'we', 'present', 'a', 'database', 'of', 'up', 'to', '20', 'years', 'of', 'monitoring', 'of', 'a', 'sample', 'of', '43', 'masers', 'within', 'starforming', 'regions', 'the', 'sample', 'covers', 'a', 'large', 'range', 'of', 'luminosities', 'of', 'the', 'associated', 'iras', 'source', 'and', 'is', 'representative', 'of', 'the', 'entire', 'population', 'of', 'h2o', 'masers', 'of', 'this', 'type', 'the', 'database', 'forms', 'a', 'good', 'starting', 'point', 'for', 'any', 'further', 'study', 'of', 'h2o', 'maser', 'variability', 'methods', 'the', 'observations', 'were', 'obtained', 'with', 'the', 'medicina', '32m', 'radiotelescope', 'at', 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710.0791 | Spin-rotation couplings: spinning test particles and Dirac field | The hypothesis of coupling between spin and rotation introduced long ago by
Mashhoon is examined in the context of "1+3" and "3+1" space-time splitting
techniques, either in special or in general relativity. Its content is
discussed in terms of classical (Mathisson-Papapetrou-Dixon-Souriou model) as
well as quantum physics (Foldy-Wouthuysen transformation for the Dirac field in
an external field), reviewing and discussing all the relevant theoretical
literature concerning the existence of such effect. Some original contributions
are also included.
| gr-qc | the hypothesis of coupling between spin and rotation introduced long ago by mashhoon is examined in the context of 13 and 31 spacetime splitting techniques either in special or in general relativity its content is discussed in terms of classical mathissonpapapetroudixonsouriou model as well as quantum physics foldywouthuysen transformation for the dirac field in an external field reviewing and discussing all the relevant theoretical literature concerning the existence of such effect some original contributions are also included | [['the', 'hypothesis', 'of', 'coupling', 'between', 'spin', 'and', 'rotation', 'introduced', 'long', 'ago', 'by', 'mashhoon', 'is', 'examined', 'in', 'the', 'context', 'of', '13', 'and', '31', 'spacetime', 'splitting', 'techniques', 'either', 'in', 'special', 'or', 'in', 'general', 'relativity', 'its', 'content', 'is', 'discussed', 'in', 'terms', 'of', 'classical', 'mathissonpapapetroudixonsouriou', 'model', 'as', 'well', 'as', 'quantum', 'physics', 'foldywouthuysen', 'transformation', 'for', 'the', 'dirac', 'field', 'in', 'an', 'external', 'field', 'reviewing', 'and', 'discussing', 'all', 'the', 'relevant', 'theoretical', 'literature', 'concerning', 'the', 'existence', 'of', 'such', 'effect', 'some', 'original', 'contributions', 'are', 'also', 'included']] | [-0.11408948010495423, 0.13094511114870425, -0.025250842108538275, 0.12120188373496364, -0.05919439057010765, -0.125624170618769, -0.00871909045504014, 0.3162395491595625, -0.24365519999992102, -0.33352806933812407, 0.10261296575711305, -0.2354081050940103, -0.15539378459920714, 0.19091749028915442, -0.031508171973799015, 0.0279705547842528, -0.027349880179635397, 0.041859539103155076, -0.09892061189135634, -0.25689838905236684, 0.32772270414831217, 0.06992982171543285, 0.24725662210135183, 0.05513473430351281, 0.055062104960119256, 0.06168544381599579, -0.06897459975076153, 0.025818383259894818, -0.09657978543423508, 0.032233716307305975, 0.19862735187512284, 0.10322139273079015, 0.23460600799635836, -0.4166397445982224, -0.2180664620705341, 0.017095369397123392, 0.11676732350851556, 0.15648214646468037, -0.09515036306172413, -0.310399414677369, 0.025832444435524706, -0.17323997357590615, -0.15452967937055387, -0.06975687684883412, 0.048209261084833234, -0.019990469641542358, -0.18012489683582986, 0.10136580343891853, 0.10114343207188588, 0.09295053487202447, -0.07235663241590373, -0.14216030973291613, 0.0031984797403167343, 0.10234756071402348, 0.1387898081616425, 0.0329452944417043, 0.07583045048982297, -0.14425556512402468, -0.158076933894527, 0.43371464913759966, -0.07671830451061779, -0.20828068511266457, 0.16938147193286568, -0.13342766841800002, -0.12936097319164364, 0.0397575924274095, 0.10248088546857041, 0.10291545103513942, -0.17681201688308074, 0.15048397576059583, -0.014788202972053304, 0.06636291529100977, 0.09393945127406991, 0.07008311851333067, 0.2102823396286878, 0.12055089946232711, -0.02766715161698429, 0.09763956140408195, -0.03939006745655972, -0.16861897305352613, -0.3557695145228584, -0.1613269457225933, -0.14926640912553443, 0.05322801830296062, -0.05085043534333971, -0.1069470729715632, 0.3825594021534351, 0.14232345646182934, 0.1458618240614765, -0.048422205877661904, 0.2575132731427929, 0.10650256205362414, 0.026753567167600665, 0.043276382236447385, 0.30700718000949373, 0.20620935314984404, 0.09499390138999413, -0.21028992523727202, 0.000991202915381444, 0.06343304874730836] |
710.0792 | On Q-conic bundles, II | A $\mathbb Q$-conic bundle germ is a proper morphism from a threefold with
only terminal singularities to the germ $(Z \ni o)$ of a normal surface such
that fibers are connected and the anti-canonical divisor is relatively ample.
We obtain the complete classification of $\mathbb Q$-conic bundle germs when
the base surface germ is singular. This is a generalization of our previous
paper math/0603736, which further assumed that the fiber over $o$ is
irreducible.
| math.AG | a mathbb qconic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ z ni o of a normal surface such that fibers are connected and the anticanonical divisor is relatively ample we obtain the complete classification of mathbb qconic bundle germs when the base surface germ is singular this is a generalization of our previous paper math0603736 which further assumed that the fiber over o is irreducible | [['a', 'mathbb', 'qconic', 'bundle', 'germ', 'is', 'a', 'proper', 'morphism', 'from', 'a', 'threefold', 'with', 'only', 'terminal', 'singularities', 'to', 'the', 'germ', 'z', 'ni', 'o', 'of', 'a', 'normal', 'surface', 'such', 'that', 'fibers', 'are', 'connected', 'and', 'the', 'anticanonical', 'divisor', 'is', 'relatively', 'ample', 'we', 'obtain', 'the', 'complete', 'classification', 'of', 'mathbb', 'qconic', 'bundle', 'germs', 'when', 'the', 'base', 'surface', 'germ', 'is', 'singular', 'this', 'is', 'a', 'generalization', 'of', 'our', 'previous', 'paper', 'math0603736', 'which', 'further', 'assumed', 'that', 'the', 'fiber', 'over', 'o', 'is', 'irreducible']] | [-0.24028541370971154, -0.03368390985598711, -0.08431445904178163, -0.03509030699704404, -0.12487254350458922, -0.18780015530830171, 0.00046331352675461196, 0.3802373244950216, -0.2911110059549547, -0.07158709638943411, 0.04870722711417977, -0.276111716583167, -0.17074850502691857, 0.15930126204270206, -0.18085057016028322, -0.05798454002209314, 0.05634786534340006, 0.07436908007924739, -0.09210624293845197, -0.2903491010640633, 0.447601238150813, -0.05723667661468052, 0.23527110035033666, 0.06681308901728425, 0.1197286068321499, -0.07111499793444799, 0.06163294973770437, -0.010861540034617463, -0.1315782306253773, 0.1350978581387907, 0.31417324763965115, 0.06574262961847326, 0.2086101326300469, -0.3382258601231526, -0.17720144679642294, 0.23960515555657752, 0.14872975105879038, 0.0025083020262496726, 0.013275279025610995, -0.2141455443040149, 0.1467977922971118, -0.1171577540927962, -0.19578163097421192, -0.012652165805027909, 0.08989356532182595, 0.04987147723464933, -0.23471131134931356, -0.07923277198298745, 0.1041847448540877, 0.16840373975011896, -0.01743329598325981, -0.03973773924302157, -0.20285966301859956, -0.0008691252565668411, -0.0018614046179931867, 0.20969810255178034, 0.14122315292200394, -0.07128544946277693, -0.0030569281071832735, 0.3575594730719873, -0.09824238922319388, -0.21981291102934375, 0.14805204492725738, -0.15509893382223297, -0.09505083662942562, 0.24388933704834279, 0.08026602922951522, 0.21179913175100945, -0.016701750614567124, 0.18894542987085242, -0.10257302453001477, 0.08616635647334464, 0.06615381609418824, -0.06775343212082166, 0.159937908222312, 0.1507241165437672, 0.0607664712309225, 0.03202338022983646, -0.05573896615931841, 0.03955386020243168, -0.41948804473632, -0.27915513751492516, -0.1025272933511089, 0.24291403536136225, -0.08809199076355595, -0.17820143725161683, 0.3924377220044908, -0.03781368087160669, 0.28586530468541466, 0.13306055884100243, 0.28585376667037404, 0.03906382613477284, 0.0427283901810544, 0.028002111745156245, 0.13537940020634703, 0.17621609240719308, -0.07203498630216727, -0.1182061913471082, 0.03126530148318573, 0.1494251025827882] |
710.0793 | Origin of the Verwey transition in magnetite: Group theory, electronic
structure, and lattice dynamics study | The Verwey phase transition in magnetite has been analyzed using the group
theory methods. It is found that two order parameters with the symmetries $X_3$
and $\Delta_5$ induce the structural transformation from the high-temperature
cubic to the low-temperature monoclinic phase. The coupling between the order
parameters is described by the Landau free energy functional. The electronic
and crystal structure for the cubic and monoclinic phases were optimized using
the {\it ab initio} density functional method. The electronic structure
calculations were performed within the generalized gradient approximation
including the on-site interactions between 3d electrons at iron ions -- the
Coulomb element $U$ and Hund's exchange $J$. Only when these local interactions
are taken into account, the phonon dispersion curves, obtained by the direct
method for the cubic phase, reproduce the experimental data. It is shown that
the interplay of local electron interations and the coupling to the lattice
drives the phonon order parameters and is responsible for the opening of the
gap at the Fermi energy. Thus, it is found that the metal-insulator transition
in magnetite is promoted by local electron interactions, which significantly
amplify the electron-phonon interaction and stabilize weak charge order
coexisting with orbital order of the occupied $t_{2g}$ states at Fe ions. This
provides a scenario to understand the fundamental problem of the origin of the
Verwey transition in magnetite.
| cond-mat.str-el | the verwey phase transition in magnetite has been analyzed using the group theory methods it is found that two order parameters with the symmetries x_3 and delta_5 induce the structural transformation from the hightemperature cubic to the lowtemperature monoclinic phase the coupling between the order parameters is described by the landau free energy functional the electronic and crystal structure for the cubic and monoclinic phases were optimized using the it ab initio density functional method the electronic structure calculations were performed within the generalized gradient approximation including the onsite interactions between 3d electrons at iron ions the coulomb element u and hunds exchange j only when these local interactions are taken into account the phonon dispersion curves obtained by the direct method for the cubic phase reproduce the experimental data it is shown that the interplay of local electron interations and the coupling to the lattice drives the phonon order parameters and is responsible for the opening of the gap at the fermi energy thus it is found that the metalinsulator transition in magnetite is promoted by local electron interactions which significantly amplify the electronphonon interaction and stabilize weak charge order coexisting with orbital order of the occupied t_2g states at fe ions this provides a scenario to understand the fundamental problem of the origin of the verwey transition in magnetite | [['the', 'verwey', 'phase', 'transition', 'in', 'magnetite', 'has', 'been', 'analyzed', 'using', 'the', 'group', 'theory', 'methods', 'it', 'is', 'found', 'that', 'two', 'order', 'parameters', 'with', 'the', 'symmetries', 'x_3', 'and', 'delta_5', 'induce', 'the', 'structural', 'transformation', 'from', 'the', 'hightemperature', 'cubic', 'to', 'the', 'lowtemperature', 'monoclinic', 'phase', 'the', 'coupling', 'between', 'the', 'order', 'parameters', 'is', 'described', 'by', 'the', 'landau', 'free', 'energy', 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'opening', 'of', 'the', 'gap', 'at', 'the', 'fermi', 'energy', 'thus', 'it', 'is', 'found', 'that', 'the', 'metalinsulator', 'transition', 'in', 'magnetite', 'is', 'promoted', 'by', 'local', 'electron', 'interactions', 'which', 'significantly', 'amplify', 'the', 'electronphonon', 'interaction', 'and', 'stabilize', 'weak', 'charge', 'order', 'coexisting', 'with', 'orbital', 'order', 'of', 'the', 'occupied', 't_2g', 'states', 'at', 'fe', 'ions', 'this', 'provides', 'a', 'scenario', 'to', 'understand', 'the', 'fundamental', 'problem', 'of', 'the', 'origin', 'of', 'the', 'verwey', 'transition', 'in', 'magnetite']] | [-0.13293103598705092, 0.20124388336703367, -0.04243381884411542, 0.05242040794083587, -0.02673748679400097, -0.10969814184707552, 0.08125023830974921, 0.3871589380893772, -0.2972692548343701, -0.30297722553674183, -0.007716131008365002, -0.3297075523565022, -0.11981687443826702, 0.10175637144287754, 0.1291217615699387, -0.0019498776741393282, -0.020905636486963988, 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710.0794 | Global stability of travelling fronts for a damped wave equation with
bistable nonlinearity | We consider the damped wave equation \alpha u_tt + u_t = u_xx - V'(u) on the
whole real line, where V is a bistable potential. This equation has travelling
front solutions of the form u(x,t) = h(x-st) which describe a moving interface
between two different steady states of the system, one of which being the
global minimum of V. We show that, if the initial data are sufficiently close
to the profile of a front for large |x|, the solution of the damped wave
equation converges uniformly on R to a travelling front as t goes to plus
infinity. The proof of this global stability result is inspired by a recent
work of E. Risler and relies on the fact that our system has a Lyapunov
function in any Galilean frame.
| math.AP | we consider the damped wave equation alpha u_tt u_t u_xx vu on the whole real line where v is a bistable potential this equation has travelling front solutions of the form uxt hxst which describe a moving interface between two different steady states of the system one of which being the global minimum of v we show that if the initial data are sufficiently close to the profile of a front for large x the solution of the damped wave equation converges uniformly on r to a travelling front as t goes to plus infinity the proof of this global stability result is inspired by a recent work of e risler and relies on the fact that our system has a lyapunov function in any galilean frame | [['we', 'consider', 'the', 'damped', 'wave', 'equation', 'alpha', 'u_tt', 'u_t', 'u_xx', 'vu', 'on', 'the', 'whole', 'real', 'line', 'where', 'v', 'is', 'a', 'bistable', 'potential', 'this', 'equation', 'has', 'travelling', 'front', 'solutions', 'of', 'the', 'form', 'uxt', 'hxst', 'which', 'describe', 'a', 'moving', 'interface', 'between', 'two', 'different', 'steady', 'states', 'of', 'the', 'system', 'one', 'of', 'which', 'being', 'the', 'global', 'minimum', 'of', 'v', 'we', 'show', 'that', 'if', 'the', 'initial', 'data', 'are', 'sufficiently', 'close', 'to', 'the', 'profile', 'of', 'a', 'front', 'for', 'large', 'x', 'the', 'solution', 'of', 'the', 'damped', 'wave', 'equation', 'converges', 'uniformly', 'on', 'r', 'to', 'a', 'travelling', 'front', 'as', 't', 'goes', 'to', 'plus', 'infinity', 'the', 'proof', 'of', 'this', 'global', 'stability', 'result', 'is', 'inspired', 'by', 'a', 'recent', 'work', 'of', 'e', 'risler', 'and', 'relies', 'on', 'the', 'fact', 'that', 'our', 'system', 'has', 'a', 'lyapunov', 'function', 'in', 'any', 'galilean', 'frame']] | [-0.19548248312628222, 0.0790610464348916, -0.09907630470623853, -0.02110166453741609, -0.057844268257862756, -0.15994287496580492, 0.008831455402532667, 0.2675214358439137, -0.29263362339845606, -0.21216731692206056, 0.1048189930420088, -0.33343674672678825, -0.13333710399825896, 0.15824375387340311, 0.0065206790357709874, 0.06490371491582621, 0.05498581851041683, 0.07040669851463348, -0.042586291034240276, -0.17764089340417985, 0.35357936397786177, -0.034054766120832594, 0.21488204953216372, 0.007431521302177792, 0.15102135311647702, -0.022823800695025258, 0.0541558486870527, -0.005676977233850353, -0.16220949358541967, 0.043813091704145164, 0.1624462510059987, 0.12089044332046002, 0.3249294875662715, -0.38810382355448036, -0.2200325593751456, 0.10643237815534193, 0.17012657029628162, 0.0928163533671833, -0.028482751239882042, -0.2988081766802463, 0.08741533035774612, -0.10967300230607627, -0.2208382991061265, 0.012633329065191367, 0.11176010228634353, 0.11284364056995227, -0.27116268777125885, 0.08415532638762324, 0.07673325471668727, -0.02170077004351668, -0.09136292185737854, -0.06950347023984438, -0.07568340662992486, 0.06854810161582593, 0.054912206967220836, 0.11144982111300268, 0.07226308285894376, -0.10072207839287345, -0.01704711263393244, 0.3668089042535968, -0.12689422651947962, -0.22372134714313444, 0.1873203678507476, -0.16826442111882248, -0.06911135645627621, 0.14640439959937737, 0.1721517573783381, 0.14512085252707557, -0.12085601412469432, 0.15307402673375142, -0.1004668084829713, 0.15620335658720236, 0.1005078332465408, -0.04554284760536301, 0.1161947839982098, 0.1539884983924114, 0.13159071283400178, 0.10013356589386979, -0.051759440144191364, -0.05756663815266201, -0.35705317537270725, -0.16475306446146634, -0.18250525584037874, 0.09854330438524596, -0.06830731517668086, -0.19423560534293452, 0.3999651331687346, 0.10018545916555302, 0.2188477034325756, 0.054366084411629434, 0.24553762739967733, 0.1918776864888117, -0.01613188702391372, 0.1089105104938859, 0.22226401920511668, 0.11259617803743967, 0.1484275907167189, -0.22613336543537796, 0.021266431740802963, 0.097534155554419] |
710.0795 | N-body simulations of star clusters | Two aspects of our recent N-body studies of star clusters are presented: (1)
What impact does mass segregation and selective mass loss have on integrated
photometry? (2) How well compare results from N-body simulations using NBODY4
and STARLAB/KIRA?
| astro-ph | two aspects of our recent nbody studies of star clusters are presented 1 what impact does mass segregation and selective mass loss have on integrated photometry 2 how well compare results from nbody simulations using nbody4 and starlabkira | [['two', 'aspects', 'of', 'our', 'recent', 'nbody', 'studies', 'of', 'star', 'clusters', 'are', 'presented', '1', 'what', 'impact', 'does', 'mass', 'segregation', 'and', 'selective', 'mass', 'loss', 'have', 'on', 'integrated', 'photometry', '2', 'how', 'well', 'compare', 'results', 'from', 'nbody', 'simulations', 'using', 'nbody4', 'and', 'starlabkira']] | [-0.006981874865136649, 0.07378815885290112, -0.12204447873917065, 0.08860394794886049, -0.05034386880671311, -0.03565579562104846, -0.014675665891876346, 0.43610844584672076, -0.14237273886407675, -0.3999498343389285, 0.08823618645730771, -0.3255931847777806, -0.11779065371343964, 0.20907231876136442, -0.01412874232291391, 0.07123659009506043, 0.18551124469530278, -0.09686338543695838, -0.07312519197646332, -0.3128961403364022, 0.3578779536397441, 0.07359306680920877, 0.16320536957171403, 0.02546292727224921, 0.03850659177834658, -0.058187280340414295, -0.12059361257247235, -0.01134130152824678, -0.2524833740347898, 0.025849688683305623, 0.15232806875198884, 0.1777790887648926, 0.24436640388969527, -0.3993868281770694, -0.22366215955269964, 0.007987163176662043, 0.22535130578877502, 0.06564624151705127, -0.1706788477481735, -0.2207808213332962, 0.07818411122149739, -0.2474097934747605, -0.08610466279481586, -0.02245642405346428, 0.004670938305360706, 0.09164291762403752, -0.2397848674292235, 0.1532642047264074, -0.026739966366317515, 0.06852294489937394, -0.07966693407414775, -0.17780942876676195, -0.06618384034127782, 0.14231131933200614, -0.024849667434433575, 0.016712071763130984, 0.19690011211327815, -0.08036105408284225, -0.15274069247473226, 0.3831773287567653, -0.03172728029618922, -0.14619366202111306, 0.30014982942099633, -0.15417557016113087, -0.15977330449478408, 0.02279330068574238, 0.20647296064386242, 0.10350511394637196, -0.13544985617658026, 0.023625577784658066, -0.02504066219185724, 0.21721508530409714, 0.05000226240065929, -0.0015021260631711858, 0.23940623282013754, 0.17090513226331064, -0.05190841948589016, 0.026777284201479665, -0.14529119909275323, -0.11259430088102818, -0.18271406497316142, -0.03968519033668073, -0.14919074713620112, 0.07926860824227333, -0.08592507696486887, -0.055699222574108524, 0.3111940300533254, 0.19154339744464347, 0.21325665609420916, 0.08416195397608374, 0.33293529457755777, 0.004271681141720987, 0.09759320681424517, 0.027082126342544432, 0.27182583118739884, 0.13997126495661705, 0.05362943453273099, -0.2604291910293365, -0.013569107202592454, -0.027017699824155944] |
710.0796 | Keck spectroscopy of the faint dwarf elliptical galaxy population in the
Perseus Cluster core: mixed stellar populations and a flat luminosity
function | We present the result of a photometric and Keck-LRIS spectroscopic study of
dwarf galaxies in the core of the Perseus Cluster, down to a magnitude of M_B =
-12.5. Spectra were obtained for twenty-three dwarf-galaxy candidates, from
which we measure radial velocities and stellar population characteristics from
absorption line indices. From radial velocities obtained using these spectra we
confirm twelve systems as cluster members, with the remaining eleven as
non-members. Using these newly confirmed cluster members, we are able to extend
the confirmed colour-magnitude relation for the Perseus Cluster down to M_B =
-12.5. We confirm an increase in the scatter about the colour magnitude
relationship below M_B = -15.5, but reject the hypothesis that very red dwarfs
are cluster members. We measure the faint-end slope of the luminosity function
between M_B = -18 and M_B = -12.5, finding alpha = -1.26 \pm 0.06, which is
similar to that of the field. This implies that an overabundance of dwarf
galaxies does not exist in the core of the Perseus Cluster. By comparing metal
and Balmer absorption line indices with alpha-enhanced single stellar
population models, we derive ages and metallicities for these newly confirmed
cluster members. We find two distinct dwarf elliptical populations: an old,
metal poor population with ages ~ 8 Gyr and metallicities [Fe/H] < -0.33, and a
young, metal rich population with ages < 5 Gyr and metallicities [Fe/H] >
-0.33. Dwarf galaxies in the Perseus Cluster are therefore not a simple
homogeneous population, but rather exhibit a range in age and metallicity.
| astro-ph | we present the result of a photometric and kecklris spectroscopic study of dwarf galaxies in the core of the perseus cluster down to a magnitude of m_b 125 spectra were obtained for twentythree dwarfgalaxy candidates from which we measure radial velocities and stellar population characteristics from absorption line indices from radial velocities obtained using these spectra we confirm twelve systems as cluster members with the remaining eleven as nonmembers using these newly confirmed cluster members we are able to extend the confirmed colourmagnitude relation for the perseus cluster down to m_b 125 we confirm an increase in the scatter about the colour magnitude relationship below m_b 155 but reject the hypothesis that very red dwarfs are cluster members we measure the faintend slope of the luminosity function between m_b 18 and m_b 125 finding alpha 126 pm 006 which is similar to that of the field this implies that an overabundance of dwarf galaxies does not exist in the core of the perseus cluster by comparing metal and balmer absorption line indices with alphaenhanced single stellar population models we derive ages and metallicities for these newly confirmed cluster members we find two distinct dwarf elliptical populations an old metal poor population with ages 8 gyr and metallicities feh 033 and a young metal rich population with ages 5 gyr and metallicities feh 033 dwarf galaxies in the perseus cluster are therefore not a simple homogeneous population but rather exhibit a range in age and metallicity | [['we', 'present', 'the', 'result', 'of', 'a', 'photometric', 'and', 'kecklris', 'spectroscopic', 'study', 'of', 'dwarf', 'galaxies', 'in', 'the', 'core', 'of', 'the', 'perseus', 'cluster', 'down', 'to', 'a', 'magnitude', 'of', 'm_b', '125', 'spectra', 'were', 'obtained', 'for', 'twentythree', 'dwarfgalaxy', 'candidates', 'from', 'which', 'we', 'measure', 'radial', 'velocities', 'and', 'stellar', 'population', 'characteristics', 'from', 'absorption', 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710.0797 | The eigenvalues of limits of radial Toeplitz operators | Let $A^2$ be the Bergman space on the unit disk. A bounded operator $S$ on
$A^2$ is called radial if $Sz^n = \lambda_n z^n$ for all $n\ge 0$, where
$\lambda_n$ is a bounded sequence of complex numbers. We characterize the
eigenvalues of radial operators that can be approximated by Toeplitz operators
with bounded symbols.
| math.FA math.OA | let a2 be the bergman space on the unit disk a bounded operator s on a2 is called radial if szn lambda_n zn for all nge 0 where lambda_n is a bounded sequence of complex numbers we characterize the eigenvalues of radial operators that can be approximated by toeplitz operators with bounded symbols | [['let', 'a2', 'be', 'the', 'bergman', 'space', 'on', 'the', 'unit', 'disk', 'a', 'bounded', 'operator', 's', 'on', 'a2', 'is', 'called', 'radial', 'if', 'szn', 'lambda_n', 'zn', 'for', 'all', 'nge', '0', 'where', 'lambda_n', 'is', 'a', 'bounded', 'sequence', 'of', 'complex', 'numbers', 'we', 'characterize', 'the', 'eigenvalues', 'of', 'radial', 'operators', 'that', 'can', 'be', 'approximated', 'by', 'toeplitz', 'operators', 'with', 'bounded', 'symbols']] | [-0.17977671326085362, 0.2215510094538331, 0.03489288424124133, 0.033259503899212436, -0.049317788517208035, -0.15013222394616538, -0.05046967961517918, 0.3608484644231931, -0.31003957586187236, -0.10596200496942368, 0.15207271598595776, -0.3118593960227269, -0.10592533665586193, 0.15609769276255425, -0.09395313575723262, 0.005765045933724153, 0.061087720785817166, 0.12731795206244262, -0.10172173377776624, -0.21492337189474195, 0.40949086138521723, -0.09569193278702925, 0.026171237067758757, 0.02909728817922889, 0.03199311700772564, -0.06580845400128725, 0.05851759364222229, -0.052503653938710725, -0.17144913768095407, 0.09463572215710608, 0.2249067337164339, 0.12713507554089687, 0.2918317637072419, -0.3746936030264171, -0.13821672695636186, 0.25196181204310564, 0.24940151257335014, -0.13813495692217126, 0.01949192821882876, -0.282410356971734, 0.17368961400616, -0.09907282337783573, -0.18598031086566033, -0.0510437224622605, 0.09958940199664179, 0.050855108813540835, -0.41085570857350556, 0.040058549502337316, 0.10827407356843634, 0.084044003244138, -0.11309028505611252, -0.18315969989195746, -0.09678857775299617, 0.08877588746155489, -0.08989493590164578, 0.12350781399862103, 0.06302748089831955, 0.05526862028362405, -0.05602054155589837, 0.3237824128272961, -0.09917121746067731, -0.3162506602722097, 0.0060037125587322805, -0.29810012579139955, -0.09570275273455202, 0.06026472942025032, 0.10750478899703836, 0.19731285581189506, -0.0432656978626015, 0.2794248364725203, -0.1191090754988902, 0.18037015558132585, 0.13889937090494162, 0.01660289780131348, 0.10434560781731358, 0.015381425865135103, 0.1348395362751172, 0.09753711375337586, -0.0008906100982062097, -0.00032989530525398704, -0.3244503688875516, -0.10629229512909111, -0.2992373189541845, 0.1370110696462809, -0.15767580245287632, -0.1751295573798553, 0.32360010551956464, -0.028198476221834152, 0.26037831780201987, 0.12179750405287124, 0.19189420409219446, 0.18417110626216768, 0.09906705363460307, 0.10736515601429175, 0.013141442793157865, 0.1902817992168426, 0.07087831278243717, -0.20129148693720125, 0.03165582613140907, 0.21937993811339113] |
710.0798 | Analysis and calibration of CaII triplet spectroscopy of Red Giant
Branch stars from VLT/FLAMES observations | We demonstrate that low resolution CaII triplet (CaT) spectroscopic estimates
of the overall metallicity ([Fe/H]) of individual Red Giant Branch (RGB) stars
in two nearby dwarf spheroidal galaxies (dSphs) agree to +-0.1-0.2 dex with
detailed high resolution spectroscopic determinations for the same stars over
the range -2.5 < [Fe/H] < -0.5. For this study we used a sample of 129 stars
observed in low and high resolution mode with VLT/FLAMES in the Sculptor and
Fornax dSphs. We also present the data reduction steps we used in our low
resolution analysis and show that the typical accuracy of our velocity and CaT
[Fe/H] measurement is ~2 km/s and 0.1 dex respectively. We conclude that
CaT-[Fe/H] relations calibrated on globular clusters can be applied with
confidence to RGB stars in composite stellar populations over the range -2.5 <
[Fe/H] < -0.5.
| astro-ph | we demonstrate that low resolution caii triplet cat spectroscopic estimates of the overall metallicity feh of individual red giant branch rgb stars in two nearby dwarf spheroidal galaxies dsphs agree to 0102 dex with detailed high resolution spectroscopic determinations for the same stars over the range 25 feh 05 for this study we used a sample of 129 stars observed in low and high resolution mode with vltflames in the sculptor and fornax dsphs we also present the data reduction steps we used in our low resolution analysis and show that the typical accuracy of our velocity and cat feh measurement is 2 kms and 01 dex respectively we conclude that catfeh relations calibrated on globular clusters can be applied with confidence to rgb stars in composite stellar populations over the range 25 feh 05 | [['we', 'demonstrate', 'that', 'low', 'resolution', 'caii', 'triplet', 'cat', 'spectroscopic', 'estimates', 'of', 'the', 'overall', 'metallicity', 'feh', 'of', 'individual', 'red', 'giant', 'branch', 'rgb', 'stars', 'in', 'two', 'nearby', 'dwarf', 'spheroidal', 'galaxies', 'dsphs', 'agree', 'to', '0102', 'dex', 'with', 'detailed', 'high', 'resolution', 'spectroscopic', 'determinations', 'for', 'the', 'same', 'stars', 'over', 'the', 'range', '25', 'feh', '05', 'for', 'this', 'study', 'we', 'used', 'a', 'sample', 'of', '129', 'stars', 'observed', 'in', 'low', 'and', 'high', 'resolution', 'mode', 'with', 'vltflames', 'in', 'the', 'sculptor', 'and', 'fornax', 'dsphs', 'we', 'also', 'present', 'the', 'data', 'reduction', 'steps', 'we', 'used', 'in', 'our', 'low', 'resolution', 'analysis', 'and', 'show', 'that', 'the', 'typical', 'accuracy', 'of', 'our', 'velocity', 'and', 'cat', 'feh', 'measurement', 'is', '2', 'kms', 'and', '01', 'dex', 'respectively', 'we', 'conclude', 'that', 'catfeh', 'relations', 'calibrated', 'on', 'globular', 'clusters', 'can', 'be', 'applied', 'with', 'confidence', 'to', 'rgb', 'stars', 'in', 'composite', 'stellar', 'populations', 'over', 'the', 'range', '25', 'feh', '05']] | [-0.000895277885442127, 0.09615137464186149, -0.07130602094581101, 0.0985984399066821, -0.08001240577423639, -0.03553844216529892, 0.09444643260125737, 0.4894284282380076, -0.10203557020989802, -0.4386665182215954, -0.035323422712294744, -0.31083314776865406, 0.03368202119513151, 0.19648405323986576, -0.13010213395525047, -0.046164943308416584, 0.16757820226571787, -0.08914575566287472, -0.06440007954022722, -0.30414112336210797, 0.23238605185787178, -0.022494378457985707, 0.17862378922638608, -0.11756699736605385, 0.059032768317769324, -0.14581399294200229, -0.04634745446826095, -0.035391129143258086, -0.199682759189639, 0.02421789267665095, 0.2909268144893446, 0.11260570674277182, 0.22129330788252513, -0.2673469311833002, -0.1702289207970529, 0.0031234223061977926, 0.292284834004049, 0.02899501378189272, -0.1095351462848415, -0.2739444809006666, 0.13470670656099526, -0.1770956928688866, -0.19293000797025248, 0.047534815080936495, 0.012938823175630462, 0.021543400829532808, -0.20742688225165232, 0.1955824776275914, -0.01565849635777856, 0.22826502066967425, -0.14040857711945898, -0.21752718005523974, -0.07044401450374567, 0.08583470447155744, -0.05642218331618707, 0.04099325541538923, 0.1253338625147216, -0.09584438704725688, 0.052718327186112086, 0.39349375577615714, -0.18172298432258305, 0.02140065967174831, 0.2276050121690244, -0.2420079384569023, -0.1986914332469564, 0.04059161257464439, 0.14111507845996468, 0.1329968063119076, -0.1434914670839433, -0.014916864758724026, 0.023009225576699002, 0.2687613745359009, 0.07801710927177832, 0.07205924577663528, 0.24267931291555514, 0.12899984192075348, 0.05631760588443991, -0.04409772105629681, -0.32004219132871714, -0.011510938475492285, -0.2016754264968496, -0.12176794523317645, -0.07669719572091274, 0.07849650831159843, -0.233763699235074, -0.09404885810243883, 0.33375949695456164, 0.143336658140144, 0.25355113242273286, 0.09031162395162869, 0.32230596312446824, 0.10772266193751746, 0.13269118351840983, 0.08323038272288587, 0.30037709306091515, 0.23033850900689834, 0.07188665966499846, -0.25595195602917514, 0.017609221930268096, -0.05815659265673316] |
710.0799 | Hard X-rays from Galaxy Clusters and SIMBOL-X | Non thermal emission from galaxy clusters demonstrates the existence of
relativistic particles and magnetic fields in the Intra Cluster Medium (ICM).
Present instruments do not allow to firmly establish the energy associated to
these components. In a few years gamma ray observations will put important
constraints on the energy content of non thermal hadrons in clusters, while the
combination of radio and hard X-ray data will be crucial to measure the energy
content in the form of relativistic electrons and magnetic field. SIMBOL-X is
expected to drive an important breakthrough in the field also because it is
expected to operate in combination with the forthcoming low frequency radio
telescopes (LOFAR, LWA). In this contribution we report first estimates of
statistical properties of the hard X-ray emission in the framework of the
re-acceleration model. This model allows to reproduce present radio data for
Radio Halos and to derive expectations for future low frequency radio
observations, and thus our calculations provide hints for observational
strategies for future radio and hard--X-ray combined observations.
| astro-ph | non thermal emission from galaxy clusters demonstrates the existence of relativistic particles and magnetic fields in the intra cluster medium icm present instruments do not allow to firmly establish the energy associated to these components in a few years gamma ray observations will put important constraints on the energy content of non thermal hadrons in clusters while the combination of radio and hard xray data will be crucial to measure the energy content in the form of relativistic electrons and magnetic field simbolx is expected to drive an important breakthrough in the field also because it is expected to operate in combination with the forthcoming low frequency radio telescopes lofar lwa in this contribution we report first estimates of statistical properties of the hard xray emission in the framework of the reacceleration model this model allows to reproduce present radio data for radio halos and to derive expectations for future low frequency radio observations and thus our calculations provide hints for observational strategies for future radio and hardxray combined observations | [['non', 'thermal', 'emission', 'from', 'galaxy', 'clusters', 'demonstrates', 'the', 'existence', 'of', 'relativistic', 'particles', 'and', 'magnetic', 'fields', 'in', 'the', 'intra', 'cluster', 'medium', 'icm', 'present', 'instruments', 'do', 'not', 'allow', 'to', 'firmly', 'establish', 'the', 'energy', 'associated', 'to', 'these', 'components', 'in', 'a', 'few', 'years', 'gamma', 'ray', 'observations', 'will', 'put', 'important', 'constraints', 'on', 'the', 'energy', 'content', 'of', 'non', 'thermal', 'hadrons', 'in', 'clusters', 'while', 'the', 'combination', 'of', 'radio', 'and', 'hard', 'xray', 'data', 'will', 'be', 'crucial', 'to', 'measure', 'the', 'energy', 'content', 'in', 'the', 'form', 'of', 'relativistic', 'electrons', 'and', 'magnetic', 'field', 'simbolx', 'is', 'expected', 'to', 'drive', 'an', 'important', 'breakthrough', 'in', 'the', 'field', 'also', 'because', 'it', 'is', 'expected', 'to', 'operate', 'in', 'combination', 'with', 'the', 'forthcoming', 'low', 'frequency', 'radio', 'telescopes', 'lofar', 'lwa', 'in', 'this', 'contribution', 'we', 'report', 'first', 'estimates', 'of', 'statistical', 'properties', 'of', 'the', 'hard', 'xray', 'emission', 'in', 'the', 'framework', 'of', 'the', 'reacceleration', 'model', 'this', 'model', 'allows', 'to', 'reproduce', 'present', 'radio', 'data', 'for', 'radio', 'halos', 'and', 'to', 'derive', 'expectations', 'for', 'future', 'low', 'frequency', 'radio', 'observations', 'and', 'thus', 'our', 'calculations', 'provide', 'hints', 'for', 'observational', 'strategies', 'for', 'future', 'radio', 'and', 'hardxray', 'combined', 'observations']] | [-0.09232079620705917, 0.13147707823467072, -0.08050786360605236, 0.12282057963037754, -0.12811125438550816, -0.06812534573323586, 0.05157695217058063, 0.4447082566097379, -0.2203819635337876, -0.3445064438972622, 0.07110009668121005, -0.2749563410673599, -0.026853405604667976, 0.21805858542142875, 0.025587754795218215, -0.013891020811655943, 0.06436100943863172, -0.07014329253048773, 0.0053102242013932585, -0.18106114984325627, 0.2654386461876771, 0.18613181043868227, 0.24715374457026723, 0.061753678538233915, 0.0425015123163843, -0.034987747829462235, -0.09341704070513301, -0.011285705711035168, -0.09041255245991874, 0.08015777383561191, 0.2864411081899615, 0.1110513312933857, 0.19763983154998105, -0.4632573006345945, -0.23334288459052058, 0.08894120227709851, 0.1388635819147834, 0.03327648881685865, -0.0687835689065704, -0.2529824813115684, 0.04686031181241988, -0.17528640614028143, -0.18464526036644682, -0.020205367592793396, -0.017913835464209757, 0.05711456814965726, -0.2285675746131935, 0.09001194677325924, -0.006109257012961761, 0.004123550073735019, -0.13798014222856556, -0.08505147118669222, 0.04931356196757406, 0.10142229633570156, 0.052817185208037055, 0.04454084350042702, 0.1287344933138229, -0.15339953561642153, -0.1085945877356126, 0.40606254271834213, -0.05546719677171067, -0.04871494425186778, 0.21453325927038402, -0.23157480084611212, -0.23171945195919014, 0.13617409398806665, 0.21078476364765425, 0.0400059558232041, -0.1713576069312266, 0.03551763933364247, 0.015241799541913412, 0.18396556513000498, -0.02193300085799659, 0.09476076741848374, 0.3049749079160392, 0.13663779543301857, 0.06189070262852885, 0.1185318073935752, -0.18522106103277217, 0.023532566566513303, -0.2586651637013454, -0.10429897874265033, -0.1529571675311993, 0.07017962216983399, -0.06972961969457923, -0.12175810683984309, 0.3603734638911727, 0.16686866797287675, 0.15379419186809923, 0.031160090396673803, 0.3435901244444882, 0.08840934597263934, 0.06163190721109619, 0.09903653312392313, 0.32547783647828243, 0.17107428866438568, 0.14904344045036635, -0.19648276983404203, 0.020978756164036255, -0.03280946872306659] |
710.08 | Bipartite Mean Field Spin Systems. Existence and Solution | A mean field spin system consisting two interacting groups each with
homogeneous interaction coefficients is introduced and studied. Existence of
the thermodynamic limit is shown by an asymptotic sub-addittivity method and
factorization of correlation functions is proved almost everywhere. The free
energy solution of the model is obtained by upper and lower bounds and by
showing that their difference vanishes for large volumes.
| cond-mat.stat-mech math-ph math.MP | a mean field spin system consisting two interacting groups each with homogeneous interaction coefficients is introduced and studied existence of the thermodynamic limit is shown by an asymptotic subaddittivity method and factorization of correlation functions is proved almost everywhere the free energy solution of the model is obtained by upper and lower bounds and by showing that their difference vanishes for large volumes | [['a', 'mean', 'field', 'spin', 'system', 'consisting', 'two', 'interacting', 'groups', 'each', 'with', 'homogeneous', 'interaction', 'coefficients', 'is', 'introduced', 'and', 'studied', 'existence', 'of', 'the', 'thermodynamic', 'limit', 'is', 'shown', 'by', 'an', 'asymptotic', 'subaddittivity', 'method', 'and', 'factorization', 'of', 'correlation', 'functions', 'is', 'proved', 'almost', 'everywhere', 'the', 'free', 'energy', 'solution', 'of', 'the', 'model', 'is', 'obtained', 'by', 'upper', 'and', 'lower', 'bounds', 'and', 'by', 'showing', 'that', 'their', 'difference', 'vanishes', 'for', 'large', 'volumes']] | [-0.18670132296392694, 0.1603904367565842, -0.09185659241742425, 0.06526592513546348, 0.03389631713470144, -0.10717554355130321, 0.0006845014229897529, 0.3283428091165279, -0.23104914376932767, -0.2906008610321629, 0.11241231554548346, -0.2892019602379972, -0.11702453548599395, 0.20812857360954606, 0.03714989964669991, 0.034583374933009184, 0.028169829631224275, 0.07830111860793325, -0.0679766214565344, -0.25468588414632026, 0.33886603279519945, 0.0267126971420141, 0.2998330680833709, 0.08193727435296282, 0.14611364288195486, 0.016785745959608786, -0.02273779908465522, 0.05769978926306771, -0.14799875067981175, 0.1169005817913961, 0.18243875287026318, 0.03484631006816222, 0.2420681119903982, -0.34861265365484984, -0.17927214226895763, 0.1103374837717462, 0.1424798500093241, 0.03525429534455461, -0.04075393020626037, -0.24849418950297178, 0.09328078199929048, -0.15834800727785595, -0.1754042988628029, -0.08028071849877315, 0.04224595921902707, 0.05467495687245842, -0.2923999723768042, 0.09819801567843364, 0.07439658149415927, 0.04928250937870959, -0.11518149167269227, -0.12233061769098465, -0.02138995216228068, 0.12154699513508428, 0.06529430568691404, 0.003406157657023399, 0.06890634381242337, -0.1319460863352663, -0.06800177145745576, 0.3258887515703757, -0.12712846844712453, -0.22487670354424946, 0.18810456497744926, -0.15322988368420593, -0.052042601720219656, 0.14576103269392926, 0.08807685631777971, 0.1253054538561452, -0.1790494529169894, 0.16325244554243382, -0.0582763964926163, 0.14903348371867212, 0.07364652441033433, 0.010172638764244414, 0.15654328223618288, 0.12175482968168874, 0.1179952421526034, 0.15680694632652786, -0.010409388120376294, -0.11161378162702726, -0.27983549348409137, -0.13486043260162395, -0.23997521562682045, 0.05213352111769059, -0.11852012603870413, -0.17158288520999299, 0.3320299004835467, 0.059261799121515885, 0.1812199995582623, 0.09332279043437372, 0.2623278601583274, 0.19404190583454986, 0.024129161772678695, 0.11474448302009653, 0.2346597192057919, 0.2044993120455934, 0.030505786139157512, -0.17825845493784837, 0.05019662391784931, 0.14392183868274575] |
710.0801 | Cosmic rays and Radio Halos in galaxy clusters : new constraints from
radio observations | Clusters of galaxies are sites of acceleration of charged particles and
sources of non-thermal radiation. We report on new constraints on the
population of cosmic rays in the Intra Cluster Medium (ICM) obtained via radio
observations of a fairly large sample of massive, X-ray luminous, galaxy
clusters in the redshift interval 0.2--0.4. The bulk of the observed galaxy
clusters does not show any hint of Mpc scale synchrotron radio emission at the
cluster center (Radio Halo). We obtained solid upper limits to the diffuse
radio emission and discuss their implications for the models for the origin of
Radio Halos. Our measurements allow us to derive also a limit to the content of
cosmic ray protons in the ICM. Assuming spectral indices of these protons delta
=2.1-2.4 and microG level magnetic fields, as from Rotation Measures, these
limits are one order of magnitude deeper than present EGRET upper limits, while
they are less stringent for steeper spectra and lower magnetic fields.
| astro-ph | clusters of galaxies are sites of acceleration of charged particles and sources of nonthermal radiation we report on new constraints on the population of cosmic rays in the intra cluster medium icm obtained via radio observations of a fairly large sample of massive xray luminous galaxy clusters in the redshift interval 0204 the bulk of the observed galaxy clusters does not show any hint of mpc scale synchrotron radio emission at the cluster center radio halo we obtained solid upper limits to the diffuse radio emission and discuss their implications for the models for the origin of radio halos our measurements allow us to derive also a limit to the content of cosmic ray protons in the icm assuming spectral indices of these protons delta 2124 and microg level magnetic fields as from rotation measures these limits are one order of magnitude deeper than present egret upper limits while they are less stringent for steeper spectra and lower magnetic fields | [['clusters', 'of', 'galaxies', 'are', 'sites', 'of', 'acceleration', 'of', 'charged', 'particles', 'and', 'sources', 'of', 'nonthermal', 'radiation', 'we', 'report', 'on', 'new', 'constraints', 'on', 'the', 'population', 'of', 'cosmic', 'rays', 'in', 'the', 'intra', 'cluster', 'medium', 'icm', 'obtained', 'via', 'radio', 'observations', 'of', 'a', 'fairly', 'large', 'sample', 'of', 'massive', 'xray', 'luminous', 'galaxy', 'clusters', 'in', 'the', 'redshift', 'interval', '0204', 'the', 'bulk', 'of', 'the', 'observed', 'galaxy', 'clusters', 'does', 'not', 'show', 'any', 'hint', 'of', 'mpc', 'scale', 'synchrotron', 'radio', 'emission', 'at', 'the', 'cluster', 'center', 'radio', 'halo', 'we', 'obtained', 'solid', 'upper', 'limits', 'to', 'the', 'diffuse', 'radio', 'emission', 'and', 'discuss', 'their', 'implications', 'for', 'the', 'models', 'for', 'the', 'origin', 'of', 'radio', 'halos', 'our', 'measurements', 'allow', 'us', 'to', 'derive', 'also', 'a', 'limit', 'to', 'the', 'content', 'of', 'cosmic', 'ray', 'protons', 'in', 'the', 'icm', 'assuming', 'spectral', 'indices', 'of', 'these', 'protons', 'delta', '2124', 'and', 'microg', 'level', 'magnetic', 'fields', 'as', 'from', 'rotation', 'measures', 'these', 'limits', 'are', 'one', 'order', 'of', 'magnitude', 'deeper', 'than', 'present', 'egret', 'upper', 'limits', 'while', 'they', 'are', 'less', 'stringent', 'for', 'steeper', 'spectra', 'and', 'lower', 'magnetic', 'fields']] | [-0.07939870129193878, 0.1685690207843436, -0.04786267630697694, 0.15599515115609391, -0.11482743902743095, -0.014682958136836533, 0.08291518348123646, 0.4381612586439587, -0.1540612123135361, -0.3701395767129725, 0.022067395319027128, -0.30223558329162187, 0.05354100231052143, 0.24333198130204892, 0.0675208455271786, -0.05384671986757894, 0.022450032352935523, -0.06180237253574887, -0.011103886895489268, -0.242217718338361, 0.2839624467102112, 0.14791756518825422, 0.2184144507511519, 0.03505701167159714, 0.07297433261701372, -0.09405639690376119, -0.0898785148456227, -0.01796722872531973, -0.126312693762884, 0.08054269120939353, 0.19275366471949837, 0.1094014570087893, 0.1417519261012785, -0.4260517185144181, -0.24979766083333743, 0.11789667725970503, 0.2063623178313719, 0.023656281402509194, -0.05733614155105897, -0.285540835512802, 0.0763423104363028, -0.14944680406770203, -0.17546162705111784, 0.09627113481983543, -0.003272750828182325, 0.06140461460272491, -0.20548433630610816, 0.1784778278773956, 0.0017729653685819359, 0.05245907823518792, -0.138740283477091, -0.11885760359000415, -0.008097584841016215, 0.0763774745631963, 0.06002119183540344, 0.022089719693212828, 0.22368502281024122, -0.14841825107869228, -0.0733258904190734, 0.42262738826684654, -0.03985915829807709, 0.010902652505319566, 0.226540585514158, -0.2699774539272767, -0.23363969770725818, 0.143988867191365, 0.18821424966445194, 0.06726178296521539, -0.1597076060483232, 0.045109193994721866, -0.008260868262732401, 0.19586387642775663, 0.03859025474375812, 0.09944232748985087, 0.28931266321160365, 0.08311415667485562, 0.10088978352796403, 0.09452861230238341, -0.21157623396720737, 0.047306182564352636, -0.248407991649583, -0.07709487283136696, -0.1338998934981646, 0.08754009818521809, -0.1802101994948316, -0.12885747452928625, 0.32798753982642664, 0.10389244571852033, 0.18184070485876874, 0.08258232490934461, 0.2999371000420069, 0.09546689939670613, 0.06689918920019408, 0.1492804411915131, 0.32691540686355436, 0.20660532453912311, 0.08996912930888357, -0.19126791608723578, 0.018606871781958034, -0.01988860361161642] |
710.0802 | The Student ensemble of correlation matrices: eigenvalue spectrum and
Kullback-Leibler entropy | We study a new ensemble of random correlation matrices related to
multivariate Student (or more generally elliptic) random variables. We
establish the exact density of states of empirical correlation matrices that
generalizes the Marcenko-Pastur result. The comparison between the theoretical
density of states in the Student case and empirical financial data is
surprisingly good, even if we are still able to detect systematic deviations.
Finally, we compute explicitely the Kullback-Leibler entropies of empirical
Student matrices, which are found to be independent of the true correlation
matrix, as in the Gaussian case. We provide numerically exact values for these
Kullback-Leibler entropies.
| q-fin.ST cond-mat.stat-mech physics.data-an | we study a new ensemble of random correlation matrices related to multivariate student or more generally elliptic random variables we establish the exact density of states of empirical correlation matrices that generalizes the marcenkopastur result the comparison between the theoretical density of states in the student case and empirical financial data is surprisingly good even if we are still able to detect systematic deviations finally we compute explicitely the kullbackleibler entropies of empirical student matrices which are found to be independent of the true correlation matrix as in the gaussian case we provide numerically exact values for these kullbackleibler entropies | [['we', 'study', 'a', 'new', 'ensemble', 'of', 'random', 'correlation', 'matrices', 'related', 'to', 'multivariate', 'student', 'or', 'more', 'generally', 'elliptic', 'random', 'variables', 'we', 'establish', 'the', 'exact', 'density', 'of', 'states', 'of', 'empirical', 'correlation', 'matrices', 'that', 'generalizes', 'the', 'marcenkopastur', 'result', 'the', 'comparison', 'between', 'the', 'theoretical', 'density', 'of', 'states', 'in', 'the', 'student', 'case', 'and', 'empirical', 'financial', 'data', 'is', 'surprisingly', 'good', 'even', 'if', 'we', 'are', 'still', 'able', 'to', 'detect', 'systematic', 'deviations', 'finally', 'we', 'compute', 'explicitely', 'the', 'kullbackleibler', 'entropies', 'of', 'empirical', 'student', 'matrices', 'which', 'are', 'found', 'to', 'be', 'independent', 'of', 'the', 'true', 'correlation', 'matrix', 'as', 'in', 'the', 'gaussian', 'case', 'we', 'provide', 'numerically', 'exact', 'values', 'for', 'these', 'kullbackleibler', 'entropies']] | [-0.04909703244600678, 0.09938247944228351, -0.1350089550530538, 0.18747925323084927, -0.011502765081822873, -0.13910224352497608, 0.07342478233389556, 0.4012225232645869, -0.24599417630117387, -0.26219213563483207, 0.05852735619759187, -0.34320134233683347, -0.1755092898127623, 0.1518651819298975, -0.06977918415563181, 0.11902049237294704, 0.057870122763561085, 0.040868122128595134, -0.12995101629756392, -0.27742651106789706, 0.3279455516301095, 0.058922709887847306, 0.2597582225315273, 0.029516986622475087, 0.04448645945754834, -0.0026002425345359372, -0.04703821428120136, 0.016212983533041552, -0.10665236317589005, 0.1457123925484484, 0.31277187388390304, 0.12658322596740618, 0.25352830979041757, -0.385702843721956, -0.15165600525215267, 0.17723386097233743, 0.09982062474824488, 0.07821043291478418, -0.0059594036063936075, -0.2586517115822062, 0.06155353760463186, -0.18065012029372154, -0.1258293277118355, -0.15104319059289992, 0.008014548509381712, 0.047391935295891016, -0.34329335268586875, 0.17632069128856528, 0.05281610074918717, 0.06731654469156638, -0.022700350899249315, -0.1882688288227655, 0.03931643399875611, 0.1432072639442049, 0.0995088956062682, -0.023868898611981423, 0.09722759130876511, -0.0811125513073057, -0.08729997002345044, 0.2785984597168863, -0.040290618662838826, -0.2284375843917951, 0.14632441175170244, -0.17948558322619645, -0.13444050825550222, 0.038259120024740696, 0.18796325411647558, 0.069376959502697, -0.1539758002292365, 0.04355829489359166, -0.10497543882811441, 0.16071133722783998, 0.03966301962849684, 0.0029214133974164724, 0.14311512202606536, 0.042928984882310034, 0.08061789944767953, 0.16968828850309364, -0.0647823122702539, -0.1663698708685115, -0.30889232327230276, -0.15042279466753825, -0.24761827952228488, 0.07489153536502272, -0.1596092337461596, -0.20062886286526918, 0.3851584192831069, 0.17752437137998642, 0.18941187257878483, 0.14950291124871, 0.21982967083342372, 0.1387129396002274, -0.012075132019817829, 0.09074418637435883, 0.20693704861449078, 0.19838520270772278, 0.03576276418752968, -0.17325619549490512, 0.11498015499673783, 0.03249459762126208] |
710.0803 | The effect of ozone oxidation on single-walled carbon nanotubes | Exposing single-walled carbon nanotubes to room temperature UV-generated
ozone leads to an irreversible increase in their electrical resistance. We
demonstrate that the increased resistance is due to ozone oxidation on the
sidewalls of the nanotubes rather than at the end caps. Raman and x-ray
photoelectron spectroscopy show an increase in the defect density due to the
oxidation of the nanotubes. Using ultraviolet photoelectron spectroscopy we
show that these defects represent the removal of pi-conjugated electron states
near the Fermi level, leading to the observed increase in electrical
resistance. Oxidation of carbon nanotubes is an important first step in many
chemical functionalization processes. Since the oxidation rate is controllable
with short exposures, UV-generated ozone offers the potential for use as a
low-thermal budget processing tool.
| cond-mat.mtrl-sci | exposing singlewalled carbon nanotubes to room temperature uvgenerated ozone leads to an irreversible increase in their electrical resistance we demonstrate that the increased resistance is due to ozone oxidation on the sidewalls of the nanotubes rather than at the end caps raman and xray photoelectron spectroscopy show an increase in the defect density due to the oxidation of the nanotubes using ultraviolet photoelectron spectroscopy we show that these defects represent the removal of piconjugated electron states near the fermi level leading to the observed increase in electrical resistance oxidation of carbon nanotubes is an important first step in many chemical functionalization processes since the oxidation rate is controllable with short exposures uvgenerated ozone offers the potential for use as a lowthermal budget processing tool | [['exposing', 'singlewalled', 'carbon', 'nanotubes', 'to', 'room', 'temperature', 'uvgenerated', 'ozone', 'leads', 'to', 'an', 'irreversible', 'increase', 'in', 'their', 'electrical', 'resistance', 'we', 'demonstrate', 'that', 'the', 'increased', 'resistance', 'is', 'due', 'to', 'ozone', 'oxidation', 'on', 'the', 'sidewalls', 'of', 'the', 'nanotubes', 'rather', 'than', 'at', 'the', 'end', 'caps', 'raman', 'and', 'xray', 'photoelectron', 'spectroscopy', 'show', 'an', 'increase', 'in', 'the', 'defect', 'density', 'due', 'to', 'the', 'oxidation', 'of', 'the', 'nanotubes', 'using', 'ultraviolet', 'photoelectron', 'spectroscopy', 'we', 'show', 'that', 'these', 'defects', 'represent', 'the', 'removal', 'of', 'piconjugated', 'electron', 'states', 'near', 'the', 'fermi', 'level', 'leading', 'to', 'the', 'observed', 'increase', 'in', 'electrical', 'resistance', 'oxidation', 'of', 'carbon', 'nanotubes', 'is', 'an', 'important', 'first', 'step', 'in', 'many', 'chemical', 'functionalization', 'processes', 'since', 'the', 'oxidation', 'rate', 'is', 'controllable', 'with', 'short', 'exposures', 'uvgenerated', 'ozone', 'offers', 'the', 'potential', 'for', 'use', 'as', 'a', 'lowthermal', 'budget', 'processing', 'tool']] | [-0.06413337890027969, 0.14974323117445043, -0.029198813058255762, -0.041788669788925176, 0.06027060584742422, -0.11479205307589213, 0.1235842421960686, 0.47358608432114124, -0.25722221014174546, -0.3078722649769596, 0.00872673197025972, -0.36448180640485783, -0.12681414567757676, 0.17734882771085625, -0.06165321148962768, 0.016609830943451934, 0.06059542249441763, -0.07490767838725866, -0.02857529336956045, -0.2382103027621946, 0.21142979421891456, 0.15411051585962457, 0.33078424857298205, 0.19939666153662952, 0.03061241119299546, -0.006568343363209697, 0.06426997222237227, -0.016292562823711842, -0.09819497703827151, 0.1268841037024024, 0.291162061079767, -0.0658288813688723, 0.22586033487122906, -0.52359869231062, -0.25038613251810665, 0.006520223197688864, 0.10372433603610381, 0.16794852923778894, -0.06205241362494994, -0.18727560205893082, 0.033434880066139636, -0.12728648769769293, -0.13516604401361706, -0.06053439466944657, -0.0008782013357917139, -0.028254607888631336, -0.1983270864425735, 0.06638303021553996, -0.009071905680639623, 0.09947586933166282, -0.14201094709675421, -0.10113186053623838, -0.15936589027824236, 0.09151342970680845, 0.04827930703412834, -0.014476906151023948, 0.3001539948711957, -0.12245365129860718, -0.0877674140367072, 0.35419159524974003, -0.0979573779172035, -0.02134401475902924, 0.19710981617258352, -0.15560131243137595, -0.08054499149953653, 0.2308949768881906, 0.09656884136401918, 0.12463213149833392, -0.17457025065587078, 0.011048909049184824, 0.07916193421110357, 0.1777958472813518, 0.1705588926984505, 0.07779222097601896, 0.23667645798842155, 0.2384522270270785, 0.1022856711628385, 0.17246661884017472, -0.17269776064771697, 0.05679725872137207, -0.17723579500024475, -0.24980445282364433, -0.15501313177437698, 0.14286353398299168, -0.05242550386150063, -0.2122879483513842, 0.3644129272457982, 0.11578874129124662, 0.1712397314388736, -0.03440447173404607, 0.2681008809176851, 0.1173161728536587, 0.09210988346964491, -0.03603503252341112, 0.23622891580116404, 0.17435078653853295, 0.12121451677261921, -0.3226468919714805, 0.150339421927775, -0.04582180343144997] |
710.0804 | Taste violations in the scalar correlator in mixed action simulations | We study the behavior of the isovector scalar correlator, which is
particularly sensitive to lattice artifacts, using domain-wall valence quarks
on a staggered sea (generated by the MILC collaboration). We analyze this
according to the prediction from chiral perturbation theory determined by
Prelovsek, which indicates that the leading unitarity violations come from
taste breaking effects. We show that our data behaves in the way predicted by
Prelovsek, thus verifying that the largest contribution to the violations of
unitarity which arise at finite lattice spacing can be described by the
mixed-action chiral perturbation theory.
| hep-lat | we study the behavior of the isovector scalar correlator which is particularly sensitive to lattice artifacts using domainwall valence quarks on a staggered sea generated by the milc collaboration we analyze this according to the prediction from chiral perturbation theory determined by prelovsek which indicates that the leading unitarity violations come from taste breaking effects we show that our data behaves in the way predicted by prelovsek thus verifying that the largest contribution to the violations of unitarity which arise at finite lattice spacing can be described by the mixedaction chiral perturbation theory | [['we', 'study', 'the', 'behavior', 'of', 'the', 'isovector', 'scalar', 'correlator', 'which', 'is', 'particularly', 'sensitive', 'to', 'lattice', 'artifacts', 'using', 'domainwall', 'valence', 'quarks', 'on', 'a', 'staggered', 'sea', 'generated', 'by', 'the', 'milc', 'collaboration', 'we', 'analyze', 'this', 'according', 'to', 'the', 'prediction', 'from', 'chiral', 'perturbation', 'theory', 'determined', 'by', 'prelovsek', 'which', 'indicates', 'that', 'the', 'leading', 'unitarity', 'violations', 'come', 'from', 'taste', 'breaking', 'effects', 'we', 'show', 'that', 'our', 'data', 'behaves', 'in', 'the', 'way', 'predicted', 'by', 'prelovsek', 'thus', 'verifying', 'that', 'the', 'largest', 'contribution', 'to', 'the', 'violations', 'of', 'unitarity', 'which', 'arise', 'at', 'finite', 'lattice', 'spacing', 'can', 'be', 'described', 'by', 'the', 'mixedaction', 'chiral', 'perturbation', 'theory']] | [-0.10615659432025046, 0.2733285462643991, -0.13275960813807222, 0.0899131935019727, -0.0525442707522582, -0.0818735355791706, 0.0864656891884102, 0.3011533606356831, -0.21837017163934727, -0.2563401766281615, 0.06247098670686565, -0.32149018823439557, -0.14259183205543988, 0.06372526114035437, 0.02731216526640359, 0.058913373993740976, 0.057332225384250764, -0.003464410857607921, -0.09074548841454089, -0.19074962371259288, 0.3423086347318785, 0.029197849823983126, 0.298302097886961, 0.1612851939975254, -0.005367648801566051, 0.014222384841051153, -0.027987972447668673, 0.02282591994470974, -0.09062974834781809, 0.087666095474795, 0.1624685991129848, 0.012507675470964562, 0.13059287041585932, -0.40424222148634414, -0.19045843828910142, 0.03472552394434329, 0.11652012314567323, 0.15042460139124825, -0.010932368523020658, -0.36299462373098057, 0.128750830428094, -0.18320498894649728, -0.2002110602834853, -0.16464606888582228, -0.07897237189594776, -0.08716627004586401, -0.3058631059222965, 0.07692444962649657, -0.032930373361895, 0.06749909911905566, 0.04112950088055704, -0.15748007290105345, -0.05636300307307993, 0.10525549135561432, 0.1303261212205955, 0.08562822378320639, 0.1165113077569072, -0.1217476453667166, -0.13383591784820242, 0.46179407915120485, -0.10610432628422015, -0.16690687488567996, 0.09455802009543604, -0.16040633671907006, -0.13773495861158896, 0.077072185674502, 0.1489567627369236, 0.04608011121738963, -0.1569247865368442, 0.08836979489726257, -0.04227554876237146, 0.18727574312949294, 0.09997948841942896, 0.0065785402542240514, 0.2297565723739324, 0.12160971247520978, 0.015613708024223646, 0.11315356196850658, -0.004228223866272357, -0.1411268576023279, -0.33992674127621675, 0.002392967811144728, -0.220496461586526, 0.0680501481908704, -0.0713254945372702, -0.14538384873860627, 0.397385876886146, 0.1786827176899439, 0.17194163180407016, 0.01887579152475722, 0.24258096687375538, 0.0948390620679254, 0.14613392151471588, 0.0601694720311551, 0.2695576748159784, 0.12143772754174162, 0.08469104029298309, -0.33676854739346174, -0.04389640139115433, 0.10654973249722233] |
710.0805 | On the Satisfiability Threshold and Clustering of Solutions of Random
3-SAT Formulas | We study the structure of satisfying assignments of a random 3-SAT formula.
In particular, we show that a random formula of density 4.453 or higher almost
surely has no non-trivial "core" assignments. Core assignments are certain
partial assignments that can be extended to satisfying assignments, and have
been studied recently in connection with the Survey Propagation heuristic for
random SAT. Their existence implies the presence of clusters of solutions, and
they have been shown to exist with high probability below the satisfiability
threshold for k-SAT with k>8, by Achlioptas and Ricci-Tersenghi, STOC 2006. Our
result implies that either this does not hold for 3-SAT or the threshold
density for satisfiability in 3-SAT lies below 4.453.
The main technical tool that we use is a novel simple application of the
first moment method.
| cs.CC | we study the structure of satisfying assignments of a random 3sat formula in particular we show that a random formula of density 4453 or higher almost surely has no nontrivial core assignments core assignments are certain partial assignments that can be extended to satisfying assignments and have been studied recently in connection with the survey propagation heuristic for random sat their existence implies the presence of clusters of solutions and they have been shown to exist with high probability below the satisfiability threshold for ksat with k8 by achlioptas and riccitersenghi stoc 2006 our result implies that either this does not hold for 3sat or the threshold density for satisfiability in 3sat lies below 4453 the main technical tool that we use is a novel simple application of the first moment method | [['we', 'study', 'the', 'structure', 'of', 'satisfying', 'assignments', 'of', 'a', 'random', '3sat', 'formula', 'in', 'particular', 'we', 'show', 'that', 'a', 'random', 'formula', 'of', 'density', '4453', 'or', 'higher', 'almost', 'surely', 'has', 'no', 'nontrivial', 'core', 'assignments', 'core', 'assignments', 'are', 'certain', 'partial', 'assignments', 'that', 'can', 'be', 'extended', 'to', 'satisfying', 'assignments', 'and', 'have', 'been', 'studied', 'recently', 'in', 'connection', 'with', 'the', 'survey', 'propagation', 'heuristic', 'for', 'random', 'sat', 'their', 'existence', 'implies', 'the', 'presence', 'of', 'clusters', 'of', 'solutions', 'and', 'they', 'have', 'been', 'shown', 'to', 'exist', 'with', 'high', 'probability', 'below', 'the', 'satisfiability', 'threshold', 'for', 'ksat', 'with', 'k8', 'by', 'achlioptas', 'and', 'riccitersenghi', 'stoc', '2006', 'our', 'result', 'implies', 'that', 'either', 'this', 'does', 'not', 'hold', 'for', '3sat', 'or', 'the', 'threshold', 'density', 'for', 'satisfiability', 'in', '3sat', 'lies', 'below', '4453', 'the', 'main', 'technical', 'tool', 'that', 'we', 'use', 'is', 'a', 'novel', 'simple', 'application', 'of', 'the', 'first', 'moment', 'method']] | [-0.11045750499276134, 0.11259191839207867, -0.08260688482021744, 0.07725418598927332, -0.08783711234608552, -0.1470012971037773, 0.10691337471088803, 0.3806865638083157, -0.20337375537300514, -0.35410248023937596, 0.10776829639728407, -0.2422354722388484, -0.14645022508391942, 0.13932650151775416, -0.06677284691426338, 0.10548302123524164, 0.033855908816666204, 0.04974997862044609, -0.04298006894268011, -0.25642067585387407, 0.2933265957522742, -0.005394578521549137, 0.2493979411735905, 0.08570566010717867, 0.05315401844299314, 0.013746512930304038, 0.05699155589205806, 0.05470604912349672, -0.11250758643908546, 0.04236556396503919, 0.24863892079641423, 0.1941877489973029, 0.2854803319981632, -0.38024244169267174, -0.17808124087892022, 0.16028686557106223, 0.11114163474518467, 0.10911637783812528, -0.0898216908204962, -0.2505215963473981, 0.18809732123080528, -0.14074263744634774, -0.132099328580256, -0.08093912876211107, 0.05518816944073258, 0.05971317317413526, -0.25242314766078244, 0.059501261838401355, 0.14948915259094175, -0.008840263772457767, -0.04521470802314015, -0.18248785495278286, 0.04078604790530252, 0.06692205629113948, 0.003620684730721581, 0.04957766893185732, 0.04114112366964533, -0.1196730484229964, -0.1807274837540745, 0.33244089207922417, -0.01946195442702226, -0.1312928653435048, 0.1647888251821066, -0.12284993221802518, -0.2558350285804464, 0.1472194574528134, 0.10757421437566253, 0.13150439172926726, -0.0965283067590931, 0.1219445181976136, -0.11665155661334707, 0.18427523058242956, 0.12923014449364872, -0.01700746377129249, 0.1555931453758879, 0.11509444681878174, 0.1117646713682916, 0.13557167907129042, -0.020232427184413555, -0.09482602355296188, -0.2738392303951762, -0.13300629836687056, -0.18515186312354423, 0.07199285654573803, -0.05353868964988523, -0.18069120144685835, 0.33701691844952153, 0.15186086769399204, 0.16501550661280018, 0.13309740955292276, 0.21121806009658473, 0.18995469193164768, 0.0505788000953158, 0.11229060933868767, 0.19945244797307884, 0.16811067337403074, 0.060098223155364394, -0.15254497495576894, 0.12479832232576993, 0.06761986641283853] |
710.0806 | Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for
Fermions in 1+1 Dimensions | The problem of fermions in the presence of a pseudoscalar plus a mixing of
vector and scalar potentials which have equal or opposite signs is
investigated. We explore all the possible signs of the potentials and discuss
their bound-state solutions for fermions and antifermions. The cases of mixed
vector and scalar P\"{o}schl-Teller-like and pseudoscalar kink-like potentials,
already analyzed in previous works, are obtained as particular cases.
| hep-th quant-ph | the problem of fermions in the presence of a pseudoscalar plus a mixing of vector and scalar potentials which have equal or opposite signs is investigated we explore all the possible signs of the potentials and discuss their boundstate solutions for fermions and antifermions the cases of mixed vector and scalar poschltellerlike and pseudoscalar kinklike potentials already analyzed in previous works are obtained as particular cases | [['the', 'problem', 'of', 'fermions', 'in', 'the', 'presence', 'of', 'a', 'pseudoscalar', 'plus', 'a', 'mixing', 'of', 'vector', 'and', 'scalar', 'potentials', 'which', 'have', 'equal', 'or', 'opposite', 'signs', 'is', 'investigated', 'we', 'explore', 'all', 'the', 'possible', 'signs', 'of', 'the', 'potentials', 'and', 'discuss', 'their', 'boundstate', 'solutions', 'for', 'fermions', 'and', 'antifermions', 'the', 'cases', 'of', 'mixed', 'vector', 'and', 'scalar', 'poschltellerlike', 'and', 'pseudoscalar', 'kinklike', 'potentials', 'already', 'analyzed', 'in', 'previous', 'works', 'are', 'obtained', 'as', 'particular', 'cases']] | [-0.16597306616886548, 0.1994269181212241, -0.00840607380042925, 0.10045894937568599, -0.03516010177378176, -0.1995985711586069, 0.021682668597239888, 0.3444542298940095, -0.14645730011221586, -0.23679099706086246, 0.049712374936930384, -0.30625102769188356, -0.13683301755438812, 0.10706671733395055, 0.08263288532863512, 0.060890915309728094, 0.01951436270522236, 0.08739316470525933, -0.08244474609047316, -0.25274189550316695, 0.38380254562379734, -0.06792947370558977, 0.18287122418934648, 0.10009150127315837, 0.04952950330422909, 0.0043628779733835745, -0.022871468745341354, -0.037182916283475635, -0.07072294635740532, 0.06848951455763061, 0.1309043190611357, 0.027695775319002816, 0.18400352860970254, -0.4122214818824873, -0.2358997849338321, 0.1772827893693113, 0.16622799968657395, 0.1088288712198846, -0.06502872263081372, -0.29927208019900275, 0.07808668009767478, -0.1494007553820583, -0.18581992861899463, -0.11283187315601742, 0.02544348522232295, 0.012640834172171626, -0.2971625028770756, 0.10927003523278417, 0.013667121727132437, 0.025017009540037674, -0.13795933310140038, -0.21498050289510778, -0.03474040532653982, 0.08093032215820682, 0.16362594898832453, 0.014711983856448735, 0.05746336218638162, -0.22468101695377493, -0.15090714543563963, 0.41649375167308433, -0.11834890051095774, -0.24086803313570493, 0.19526586986400865, -0.10416305340318517, -0.07299037660810757, 0.04470178084165761, 0.16414428380261542, 0.11887006621074045, -0.13162093323119212, 0.14417872800417667, -0.06119528874952459, 0.0616114156631132, 0.1395547371428234, 0.06215061577721358, 0.22874534677601221, 0.034588438934985206, -0.00013678099706091663, 0.12334615203805945, -0.037756050351273385, -0.12044030884510104, -0.3264710728756406, -0.13896755990572274, -0.11511186115394319, -0.0048327539962801066, -0.07104709188371833, -0.15322639918039468, 0.4474710795012387, 0.07251097167362318, 0.1946599908300083, 0.0005437516621455098, 0.25507250444074586, 0.12521877116347296, 0.07569815153185504, 0.03528350562732102, 0.3030677066805462, 0.1877876606939191, 0.12678490790792488, -0.20899644730415082, -0.05083908149831449, 0.032030918169766665] |
710.0807 | Grain Boundary Diffusion in a Peierls-Nabarro Potential | We investigate the diffusion of a grain boundary in a crystalline material.
We consider in particular the case of a regularly spaced low-angle grain
boundary schematized as an array of dislocations that interact with each other
through long-range stress fields and with the crystalline Peierls-Nabarro
potential. The methodology employed to analyze the dynamics of the center of
mass of the grain boundary and its spatio-temporal fluctuations is based on
over-damped Langevin equations. The generality and the efficiency of this
technique is proved by the agreement with molecular dynamics simulations.
| cond-mat.stat-mech cond-mat.mtrl-sci | we investigate the diffusion of a grain boundary in a crystalline material we consider in particular the case of a regularly spaced lowangle grain boundary schematized as an array of dislocations that interact with each other through longrange stress fields and with the crystalline peierlsnabarro potential the methodology employed to analyze the dynamics of the center of mass of the grain boundary and its spatiotemporal fluctuations is based on overdamped langevin equations the generality and the efficiency of this technique is proved by the agreement with molecular dynamics simulations | [['we', 'investigate', 'the', 'diffusion', 'of', 'a', 'grain', 'boundary', 'in', 'a', 'crystalline', 'material', 'we', 'consider', 'in', 'particular', 'the', 'case', 'of', 'a', 'regularly', 'spaced', 'lowangle', 'grain', 'boundary', 'schematized', 'as', 'an', 'array', 'of', 'dislocations', 'that', 'interact', 'with', 'each', 'other', 'through', 'longrange', 'stress', 'fields', 'and', 'with', 'the', 'crystalline', 'peierlsnabarro', 'potential', 'the', 'methodology', 'employed', 'to', 'analyze', 'the', 'dynamics', 'of', 'the', 'center', 'of', 'mass', 'of', 'the', 'grain', 'boundary', 'and', 'its', 'spatiotemporal', 'fluctuations', 'is', 'based', 'on', 'overdamped', 'langevin', 'equations', 'the', 'generality', 'and', 'the', 'efficiency', 'of', 'this', 'technique', 'is', 'proved', 'by', 'the', 'agreement', 'with', 'molecular', 'dynamics', 'simulations']] | [-0.1372143069878639, 0.1354821923078009, -0.10221915947419874, -0.020489456559782532, -0.0049541698993717355, -0.08101145157151007, 0.0011353518269704968, 0.3886288125695807, -0.26448894980667015, -0.26790935830788665, 0.08528573463901123, -0.24977254385149547, -0.13406371526168973, 0.13814971898944023, -0.022468756140717253, 0.05487791902916715, 0.04466190243799114, 0.0027882742114741814, -0.018501011603721154, -0.20854465988611154, 0.32144425110368247, 0.054185389002178154, 0.2798801522749068, 0.05195938539952877, 0.09638172917570291, -0.0014893078388125646, 0.011261992431193423, 0.02486919482981556, -0.18972343782244547, 0.12307779128359778, 0.16980791794596595, -0.0643605944135467, 0.233255214486899, -0.4970802722938275, -0.26156123921149566, 0.04888120823110757, 0.11619951424262162, 0.11245518657012601, -0.05589596144044039, -0.2586728898217127, 0.042544987976153414, -0.11146490215166902, -0.19681326777601008, -0.0008901998667527785, -0.0019170946462519383, 0.07077216323506966, -0.2525752168776614, 0.10784744914997829, 0.041852494990819375, 0.06071190535629775, -0.10869324787682069, -0.06593489503681534, -0.09205916766705138, 0.08644978556745382, 0.0452868179326584, -0.011440748212796248, 0.17688050328262067, -0.13263391212330022, -0.09083777335943298, 0.4072805534880818, -0.056152764318008606, -0.21727833618786646, 0.22462527624205844, -0.1639112609679277, -0.07804814761169673, 0.15325782263881704, 0.15382998069392495, 0.11816885986292128, -0.16923505231068375, 0.08742699353874588, -0.009420608836121523, 0.14362914719242142, 0.06428946900505865, -0.038122962350029044, 0.2035186474075478, 0.2216639417417222, 0.03480182654025515, 0.18758608154452855, -0.13903101446944827, -0.12173126338133483, -0.2705385835365173, -0.18590522914329607, -0.21332380789844843, 0.009993481627675924, -0.1363827095916717, -0.2044215635605826, 0.35794935562762986, 0.16643534049266176, 0.17959358807904333, 0.020854433794411716, 0.23259404819102936, 0.09487137345340772, 0.04017082381512174, 0.03984567721301083, 0.19433478037879037, 0.1723904659516398, 0.12520204511669913, -0.2918845617913463, 0.037779728332639075, 0.03282530067404837] |
710.0808 | String-Like Lagrangians from a Generalized Geometry | This note will use Hitchin's generalized geometry and a model of axionic
gravity developed by Warren Siegel in the mid-nineties to show that the
construction of Lagrangians based on the inner product arising from the pairing
of a vector and its dual can lead naturally to the low-energy Lagrangian of the
bosonic string.
| hep-th | this note will use hitchins generalized geometry and a model of axionic gravity developed by warren siegel in the midnineties to show that the construction of lagrangians based on the inner product arising from the pairing of a vector and its dual can lead naturally to the lowenergy lagrangian of the bosonic string | [['this', 'note', 'will', 'use', 'hitchins', 'generalized', 'geometry', 'and', 'a', 'model', 'of', 'axionic', 'gravity', 'developed', 'by', 'warren', 'siegel', 'in', 'the', 'midnineties', 'to', 'show', 'that', 'the', 'construction', 'of', 'lagrangians', 'based', 'on', 'the', 'inner', 'product', 'arising', 'from', 'the', 'pairing', 'of', 'a', 'vector', 'and', 'its', 'dual', 'can', 'lead', 'naturally', 'to', 'the', 'lowenergy', 'lagrangian', 'of', 'the', 'bosonic', 'string']] | [-0.13024801514902204, 0.1319095512307337, -0.1401365709332925, 0.07266959146253835, -0.11511293707310029, -0.08802575074171401, -0.00525013213309477, 0.22549985572783593, -0.2765848011059581, -0.26450540469783657, 0.05331767271141047, -0.20776222591762836, -0.22338194643446016, 0.1645591407267482, -0.11543513026158765, -0.009452441708351713, -0.007201803979938323, 0.08007934896872854, -0.12858074100002786, -0.24726789490372506, 0.40550026309869763, 0.05339710501172, 0.23908181996787634, 0.051255278605616315, 0.10350494225562182, 0.03226389288726562, -0.017224658649625642, -0.025663658484535397, -0.12872101938121905, 0.21223419115720493, 0.22399151297989037, 0.0905700801028255, 0.1515214810075671, -0.46110980402467383, -0.21163644938112483, 0.08734479007082728, 0.11589558048279218, 0.10143616363265605, 0.0005388760934847425, -0.28800945331887257, 0.021285097255318793, -0.21762207607334516, -0.14850269186855206, -0.09077271893796213, -0.03135331084002864, -0.024991761770029115, -0.21025334603926343, -0.006657467948553979, 0.0903899669954729, -0.016571334053604107, -0.07353312207851559, -0.08639255211741295, -0.07403927048633122, 0.013472856154208476, 0.07763828841292844, 0.07907135977919372, 0.099603018688284, -0.1327764403979944, -0.11864431680373426, 0.3847651332265364, -0.11789322757812322, -0.22127232159364899, 0.1574728695174925, -0.0764987077124698, -0.14750267364928182, 0.0880349681554538, 0.1513509620068911, 0.11556512829056888, -0.113211633426682, 0.20204462497363324, -0.08903028551524259, 0.0806827530756874, 0.07599133970040195, 0.0029774259661658193, 0.24851842145523373, 0.06184269993056385, 0.02958335723938807, 0.15957543945361702, -0.05788910137225856, -0.1404505274620979, -0.3656951770327001, -0.13831648629934104, -0.12275480204876864, 0.0975900428756228, -0.09043736263773544, -0.17788178184649572, 0.4060956506796603, 0.11586832219102192, 0.18725959266940095, 0.04054104359732624, 0.22144307501895247, 0.08602257152000126, 0.07731366156653133, 0.025169385983696523, 0.25354754286906067, 0.18317801623499758, 0.05362473592109416, -0.24005152374277558, -0.08182595585877041, 0.18108884730147864] |
710.0809 | The Fractional Chapman-Kolmogorov Equation | The Chapman-Kolmogorov equation with fractional integrals is derived. An
integral of fractional order is considered as an approximation of the integral
on fractal. Fractional integrals can be used to describe the fractal media.
Using fractional integrals, the fractional generalization of the
Chapman-Kolmogorov equation is obtained. From the fractional Chapman-Kolmogorov
equation, the Fokker-Planck equation is derived.
| cond-mat.dis-nn | the chapmankolmogorov equation with fractional integrals is derived an integral of fractional order is considered as an approximation of the integral on fractal fractional integrals can be used to describe the fractal media using fractional integrals the fractional generalization of the chapmankolmogorov equation is obtained from the fractional chapmankolmogorov equation the fokkerplanck equation is derived | [['the', 'chapmankolmogorov', 'equation', 'with', 'fractional', 'integrals', 'is', 'derived', 'an', 'integral', 'of', 'fractional', 'order', 'is', 'considered', 'as', 'an', 'approximation', 'of', 'the', 'integral', 'on', 'fractal', 'fractional', 'integrals', 'can', 'be', 'used', 'to', 'describe', 'the', 'fractal', 'media', 'using', 'fractional', 'integrals', 'the', 'fractional', 'generalization', 'of', 'the', 'chapmankolmogorov', 'equation', 'is', 'obtained', 'from', 'the', 'fractional', 'chapmankolmogorov', 'equation', 'the', 'fokkerplanck', 'equation', 'is', 'derived']] | [-0.11904606453397057, 0.023933692061109468, -0.16519219966774637, 0.13078696284951133, -0.15691204494373365, -0.040839852087877014, -0.06809003942392089, 0.24647782336581836, -0.3669891053980047, -0.24963939557359976, 0.1166497731411999, -0.31582273271950806, -0.1505917337807742, 0.23094724491238594, -0.046384352073073384, 0.11853139319203117, -0.011669933482665908, 0.03527159978720275, -0.06285670820454305, -0.2129108025269075, 0.3352047359232198, -0.05821942560036074, 0.15858325358818878, -0.045178292522376234, 0.19790606259114363, -0.04166813412342559, -0.100793096778745, -0.02769901400262659, -0.231742638154802, 0.12857404002411799, 0.18738490953956816, -0.06568053227595308, 0.24917603941126304, -0.4286612732843919, -0.24814787427471444, 0.0520475204356692, 0.17158074575391682, 0.041321167586879294, 0.07016678331208161, -0.3643715064633976, -0.01719463991678574, -0.14080513373694636, -0.2736600162630731, -0.08453150508417324, 0.07153149555352602, 0.10121599281714722, -0.27814856124195186, 0.20187431786378676, 0.0028969889337366276, -0.06826671583615032, -0.14549764921380715, -0.1665272787890651, -0.020696980167518964, 0.02535748728974299, -0.033125561120157895, 0.007733591899953105, 0.018435959484089503, -0.1425034063698893, -0.17865770313550125, 0.3912585530768741, -0.11884512345899235, -0.3658804409883239, 0.03406104871325872, -0.15956388229334897, -0.05954090731895783, 0.16222898509692063, 0.09341661997816779, 0.15978388001464985, -0.2608070184053345, 0.12281669622117823, -0.04390120967714624, 0.1030475824732672, 0.0462767025582831, -0.014059709164906632, 0.01867100212045691, 0.1451887714930556, 0.08194677479226481, 0.18211722651454196, -0.044278517708351665, -0.20329392821612682, -0.356055045534264, -0.22472775021398608, -0.26308598949743267, 0.14799827421930703, -0.1626667898825624, -0.18663673502477732, 0.2737066768787124, 0.11003834396092729, 0.05757024921476841, 0.030906252427534624, 0.19039495569569143, 0.4751292824046686, 0.018632243573665618, 0.019362447055226023, 0.10704405846243555, 0.2147212729704651, 0.18117346603592688, -0.2640423232456669, 0.024345496237616646, 0.23974499572068453] |
710.081 | Tridiagonal canonical matrices of bilinear or sesquilinear forms and of
pairs of symmetric, skew-symmetric, or Hermitian forms | Tridiagonal canonical forms of square matrices under congruence or
*congruence, pairs of symmetric or skew-symmetric matrices under congruence,
and pairs of Hermitian matrices under *congruence are given over an
algebraically closed field of characteristic different from 2.
| math.RT | tridiagonal canonical forms of square matrices under congruence or congruence pairs of symmetric or skewsymmetric matrices under congruence and pairs of hermitian matrices under congruence are given over an algebraically closed field of characteristic different from 2 | [['tridiagonal', 'canonical', 'forms', 'of', 'square', 'matrices', 'under', 'congruence', 'or', 'congruence', 'pairs', 'of', 'symmetric', 'or', 'skewsymmetric', 'matrices', 'under', 'congruence', 'and', 'pairs', 'of', 'hermitian', 'matrices', 'under', 'congruence', 'are', 'given', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'different', 'from', '2']] | [-0.2860228653644791, 0.1595375638968796, 0.02266799593092622, 0.03680672838881209, -0.06696678677926192, -0.20772527802634883, -0.09041732448983837, 0.36504176641638214, -0.346771107231443, -0.14281867105966886, 0.018985801577769423, -0.263850696649201, -0.14022450380631396, 0.1832267744340808, 0.02390544388342548, 0.037589881241925666, 0.03647298385968079, 0.22764556326374813, -0.30156313942594304, -0.3441420963688477, 0.49621708771666967, -0.018953324169725984, 0.24320098991833022, -0.05561020443486553, 0.13008690967753128, 0.06836153881473316, 0.04910572532665085, -0.05312211114309124, -0.008750071346357063, 0.02864057755701848, 0.2867980910515463, 0.14996579974084287, 0.14772537476509004, -0.4094387834539285, -0.005475119637275064, 0.2638033253921045, 0.13301201863214374, -0.08486636141566811, 0.014260066018716709, -0.30175110446037473, 0.16670404485941273, -0.11116783278113282, -0.1291743673484873, -0.04952382011892828, 0.08192985851279888, 0.03538100778855182, -0.35637507028877735, 0.054783713122880134, 0.15994694345706217, 0.2874699844097769, -0.06419614187718646, -0.19108827110077883, 0.08170463728743631, -0.01097592111123172, 0.047324149592502696, -0.09649466043589888, 0.06067483313381672, 0.010935668581844988, -0.06712882804709512, 0.37984021128834905, -0.009952964613566527, -0.29367771180900365, 0.08674980435721777, -0.116808479173562, -0.06557808667924758, 0.20198857215409344, 0.12736839234728264, 0.11300025794755768, -0.07531474956084748, 0.19916920524839363, -0.20337056469272924, 0.0635982410623566, 0.1927605015980835, -0.0489530767742041, 0.20102671528788837, -0.09562789170524559, 0.04039859805709204, 0.15693304758216883, 0.08050329741593953, -0.07767006442756266, -0.3276926581118558, -0.19626651039800128, -0.11834094164943373, 0.26017139922525434, -0.1835366655011328, -0.24723068949439236, 0.4318661333338634, -0.02749107634598339, 0.12548536001830488, 0.1484162817532952, 0.11470017214683262, 0.032628753096670716, 0.11431033700402524, 0.08510114786189955, 0.00016053146808534056, 0.33525446492775873, -0.1270671635016648, -0.09648711749704907, -0.04806967409377968, 0.14358751713675824] |
710.0811 | Band Unfoldings and Prismatoids: A Counterexample | This note shows that the hope expressed in [ADL+07]--that the new algorithm
for edge-unfolding any polyhedral band without overlap might lead to an
algorithm for unfolding any prismatoid without overlap--cannot be realized. A
prismatoid is constructed whose sides constitute a nested polyhedral band, with
the property that every placement of the prismatoid top face overlaps with the
band unfolding.
| cs.CG | this note shows that the hope expressed in adl07that the new algorithm for edgeunfolding any polyhedral band without overlap might lead to an algorithm for unfolding any prismatoid without overlapcannot be realized a prismatoid is constructed whose sides constitute a nested polyhedral band with the property that every placement of the prismatoid top face overlaps with the band unfolding | [['this', 'note', 'shows', 'that', 'the', 'hope', 'expressed', 'in', 'adl07that', 'the', 'new', 'algorithm', 'for', 'edgeunfolding', 'any', 'polyhedral', 'band', 'without', 'overlap', 'might', 'lead', 'to', 'an', 'algorithm', 'for', 'unfolding', 'any', 'prismatoid', 'without', 'overlapcannot', 'be', 'realized', 'a', 'prismatoid', 'is', 'constructed', 'whose', 'sides', 'constitute', 'a', 'nested', 'polyhedral', 'band', 'with', 'the', 'property', 'that', 'every', 'placement', 'of', 'the', 'prismatoid', 'top', 'face', 'overlaps', 'with', 'the', 'band', 'unfolding']] | [-0.12351724544638082, 0.03977550204517524, -0.10363008918469413, 0.023564015727555544, -0.08340573913760875, -0.14520703747933894, 0.06395526346954795, 0.42954322525806593, -0.31986147137522175, -0.27608502252648276, 0.07931967980530635, -0.19800637101983293, -0.15839434884439565, 0.17528470136682717, -0.07752713925417579, -0.03869324971578623, 0.1448766656787739, 0.01755696562478286, -0.09238635259271975, -0.20656849418587067, 0.29543216078819934, 0.002430105042692862, 0.21527674616102063, 0.07978393390709371, 0.06368575539243848, 0.06377909602311424, 0.05550412379466651, 0.058904873403279406, -0.1060454888331087, 0.14636597259525666, 0.2805320054554103, 0.09508926927912653, 0.23297580079126515, -0.39980090295705994, -0.13362110107871622, 0.15027378600809657, 0.12251398086613208, 0.09385026965224952, -0.047328175976872444, -0.24951689538398855, 0.10609852993174602, -0.12007547637218968, -0.173385189911514, -0.03169217887089441, -0.06539351934272992, -0.04519535267823621, -0.2705816565114155, -0.030958037619201236, 0.09124920287643347, 0.027026966095722298, -0.02463174840075928, -0.14444897343453608, -0.08192342810594198, 0.09617989217829809, -0.04626406943670621, 0.07652935623436381, 0.05637375165589906, -0.04272441170178354, -0.1812598801303753, 0.39699747017993214, -0.010694249402404878, -0.2567325890587087, 0.12125600376901657, -0.10029648482930242, -0.1623056814760754, 0.22533323175453565, 0.07024719553852551, 0.07929915328624479, -0.09072029559562604, 0.11689034360869412, -0.10041787398452136, 0.17817897622865675, 0.13792414582546866, -0.003927989021401133, 0.2257990125370653, 0.13525589434593394, 0.14592723526354684, 0.13872318618252807, -0.04483445799141599, -0.017173059382720998, -0.29515008505825935, -0.1733404995849062, -0.2326830194633977, 0.016455126272743207, -0.1213407210450162, -0.26042123370918263, 0.35670846914709137, 0.043980094065007413, 0.19528349679322882, 0.09749255157402602, 0.21983574428840688, 0.08673756839217324, 0.13026799438031098, 0.11225887573438517, 0.20757764849092877, -0.0041893841443469, 0.011232461911021617, -0.1825726619245599, 0.1024202802055107, 0.09219284416911633] |
710.0812 | Magnetic and Electric Excitations in Split Ring Resonators | We studied the electric and magnetic resonance of U-shaped SRRs. We showed
that higher order excitation modes exist in both of the electric and magnetic
resonances. The nodes in the current distribution were found for all the
resonance modes. It turns out that the magnetic resonances are the modes with
odd-number of half-wavelength of the current wave, i.e. 1/2, 3/2 and 5/2
wavelengths modes, and the electric resonances are modes with integer number of
whole-wavelength of current wave, i.e. 1, 2 and 3 wavelengths modes. We
discussed the electric moment and magnetic moment of the electric and magnetic
resonances, and their dependence to the length of two parallel side arms. We
show that the magnetic moment of magnetic resonance vanishes as the length side
arms of the SRR reduces to zero, i.e. a rod does not give any magnetic moment
or magnetic resonance.
| cond-mat.mtrl-sci cond-mat.other | we studied the electric and magnetic resonance of ushaped srrs we showed that higher order excitation modes exist in both of the electric and magnetic resonances the nodes in the current distribution were found for all the resonance modes it turns out that the magnetic resonances are the modes with oddnumber of halfwavelength of the current wave ie 12 32 and 52 wavelengths modes and the electric resonances are modes with integer number of wholewavelength of current wave ie 1 2 and 3 wavelengths modes we discussed the electric moment and magnetic moment of the electric and magnetic resonances and their dependence to the length of two parallel side arms we show that the magnetic moment of magnetic resonance vanishes as the length side arms of the srr reduces to zero ie a rod does not give any magnetic moment or magnetic resonance | [['we', 'studied', 'the', 'electric', 'and', 'magnetic', 'resonance', 'of', 'ushaped', 'srrs', 'we', 'showed', 'that', 'higher', 'order', 'excitation', 'modes', 'exist', 'in', 'both', 'of', 'the', 'electric', 'and', 'magnetic', 'resonances', 'the', 'nodes', 'in', 'the', 'current', 'distribution', 'were', 'found', 'for', 'all', 'the', 'resonance', 'modes', 'it', 'turns', 'out', 'that', 'the', 'magnetic', 'resonances', 'are', 'the', 'modes', 'with', 'oddnumber', 'of', 'halfwavelength', 'of', 'the', 'current', 'wave', 'ie', '12', '32', 'and', '52', 'wavelengths', 'modes', 'and', 'the', 'electric', 'resonances', 'are', 'modes', 'with', 'integer', 'number', 'of', 'wholewavelength', 'of', 'current', 'wave', 'ie', '1', '2', 'and', '3', 'wavelengths', 'modes', 'we', 'discussed', 'the', 'electric', 'moment', 'and', 'magnetic', 'moment', 'of', 'the', 'electric', 'and', 'magnetic', 'resonances', 'and', 'their', 'dependence', 'to', 'the', 'length', 'of', 'two', 'parallel', 'side', 'arms', 'we', 'show', 'that', 'the', 'magnetic', 'moment', 'of', 'magnetic', 'resonance', 'vanishes', 'as', 'the', 'length', 'side', 'arms', 'of', 'the', 'srr', 'reduces', 'to', 'zero', 'ie', 'a', 'rod', 'does', 'not', 'give', 'any', 'magnetic', 'moment', 'or', 'magnetic', 'resonance']] | [-0.24724970264938287, 0.22206702362746, 0.019917585434470798, 0.03042787357731919, -0.07700576259046268, -0.09149242812623336, -0.001136658806681738, 0.38412966387687436, -0.21334849244875598, -0.3210835320166719, 0.04405902649282517, -0.3070100833084697, -0.08412056361344761, 0.1406891214133332, 0.10078300584458523, 0.013756532021994951, -0.0147151107667014, 0.1018332154096537, 0.01030768431939552, -0.1502729474212712, 0.3002166328820544, -0.008979620720246727, 0.27352092421652985, 0.09613565080077716, 0.04845389259756136, -0.012066054774422042, 0.09334879996858432, 0.03626375272214203, -0.10116974029497983, 0.04624043124347505, 0.17912744363428842, -0.005213137584882723, 0.19899791767853509, -0.4843199410751252, -0.11772098285014886, 0.046711808536201715, 0.17911917502126118, 0.12169726385774327, -0.013165783592906426, -0.2564596337640107, 0.08826385461069433, -0.059835865934512414, -0.14465549112622245, -0.06001264366163859, 0.03857527985434297, 0.06982211014387053, -0.33619338721627184, 0.07565894220385071, 0.11766406399866855, 0.1017804085277021, -0.11321581121284882, -0.18564944699878844, -0.041317395734745015, 0.07889920635916241, 0.10170014028135739, 0.049074306628260185, 0.17838555418322205, -0.12454770999947484, -0.13348054734032444, 0.2954633697001657, -0.06295004481544823, -0.15563621480857404, 0.1401808678949724, -0.27424378726060805, -0.022614570437031994, 0.16721302014447645, 0.1214888348657323, 0.10256896411645895, -0.05375813938100153, 0.038399529367895195, 0.02455068049107147, 0.16992970221531642, 0.11381198381873923, 0.06313622655989734, 0.26337783868280307, 0.08473163803147388, 0.04625394879053281, 0.13346904422431974, -0.2039488925742851, -0.011199308792129159, -0.25705149945553757, -0.1332976789095662, -0.15779384290619136, 0.02021623256812643, -0.02976677113812758, -0.1870140425506717, 0.4445702474118328, 0.13137436080986345, 0.1920333048263171, -0.014822101489391545, 0.30571247367057164, 0.1503982202889411, 0.12007545472719562, 0.08227296026003822, 0.3101796427295661, 0.19479802873602112, 0.10011412131823075, -0.3061319422267843, -0.03770626261240055, -0.04944400362257229] |
710.0813 | Valuation domains whose products of free modules are separable | It is proved that if $R$ is a valuation domain with maximal ideal $P$ and if
$R_L$ is countably generated for each prime ideal $L$, then $R^R$ is separable
if and only $R_J$ is maximal, where $J=\cap_{n\in\mathbb{N}}P^n$.
| math.RA | it is proved that if r is a valuation domain with maximal ideal p and if r_l is countably generated for each prime ideal l then rr is separable if and only r_j is maximal where jcap_ninmathbbnpn | [['it', 'is', 'proved', 'that', 'if', 'r', 'is', 'a', 'valuation', 'domain', 'with', 'maximal', 'ideal', 'p', 'and', 'if', 'r_l', 'is', 'countably', 'generated', 'for', 'each', 'prime', 'ideal', 'l', 'then', 'rr', 'is', 'separable', 'if', 'and', 'only', 'r_j', 'is', 'maximal', 'where', 'jcap_ninmathbbnpn']] | [-0.1374725288608008, 0.18682345199502176, -0.08901343036753435, -0.015710965778756265, -0.14457328714585552, -0.2832990001964693, -0.04291989069638981, 0.36069241667994195, -0.3520948596091734, -0.09649507693635921, 0.14204135375459576, -0.30474501656782294, -0.04035141130184962, 0.23487336343775192, -0.08051864606224829, -0.057886876482775226, 0.055540519249108106, 0.19106577119479576, 0.04795224634128519, -0.33304690243676305, 0.2969131112719576, -0.07150827045552433, 0.1582766796927899, 0.02471245236746553, 0.11701490854223569, 0.019192527164705098, 0.011374877765774727, 0.08021498662937018, -0.17976333954498436, 0.039451959206619196, 0.2978416695776913, 0.13969160546548665, 0.32242179377418423, -0.2641668077299578, -0.08852101727259448, 0.285161441580082, 0.11350545794185665, -0.11253434298042622, 0.03932831849993414, -0.14371017495998079, 0.2998113670748555, -0.17425057788689932, -0.11642757195254995, -0.023408339514086645, 0.3168217060673568, 0.014318382470972009, -0.44470105237430996, -0.005543870023555226, 0.11426964653138486, 0.09813653424175249, 0.007602381215999938, -0.09869007815399931, -0.09815514778407912, -0.011677834865016242, -0.009305215783468965, 0.12645270173541373, 0.0569330578049024, -0.028532586733086243, -0.024114532616092928, 0.41104160249233246, -0.0202543953847554, -0.2571885213773284, 0.12051676634129965, -0.24150533412790132, -0.041711080017396145, 0.06565750786103308, -0.04661032366048959, 0.12255883165117767, -0.0543999073561281, 0.2782176560431253, -0.1942801702922831, 0.16607715722380412, 0.08267685036278433, 0.03233281068969518, 0.16323146094671553, 0.09197435756666689, 0.1816138971933267, 0.08989398314669314, -0.029193133322729006, 0.07847154916574557, -0.38583009959095055, -0.1355349337294077, -0.28569025080651045, 0.12159927991322345, -0.0666611509182581, -0.10248241829685867, 0.28432496631931925, -0.0034356495210280022, 0.10129115821069314, 0.03312800941057503, 0.2904405892930097, 0.10515580176272327, 0.001727119812534915, 0.2277598102033759, 0.09553327452805307, 0.12715983007931048, -0.15252161533054379, -0.15212857525330037, 0.0425476111833834, 0.10814775789104816] |
710.0814 | Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity | In this paper we study the dynamics of {\it orthogonal spatially homogeneous}
Bianchi cosmologies in $R^n$-gravity. We construct a compact state space by
dividing the state space into different sectors. We perform a detailed analysis
of the cosmological behaviour in terms of the parameter $n$, determining all
the equilibrium points, their stability and corresponding cosmological
evolution. In particular, the appropriately compactified state space allows us
to investigate static and bouncing solutions. We find no Einstein static
solutions, but there do exist cosmologies with bounce behaviours. We also
investigate the isotropisation of these models and find that all isotropic
points are flat Friedmann like.
| gr-qc astro-ph math.DS | in this paper we study the dynamics of it orthogonal spatially homogeneous bianchi cosmologies in rngravity we construct a compact state space by dividing the state space into different sectors we perform a detailed analysis of the cosmological behaviour in terms of the parameter n determining all the equilibrium points their stability and corresponding cosmological evolution in particular the appropriately compactified state space allows us to investigate static and bouncing solutions we find no einstein static solutions but there do exist cosmologies with bounce behaviours we also investigate the isotropisation of these models and find that all isotropic points are flat friedmann like | [['in', 'this', 'paper', 'we', 'study', 'the', 'dynamics', 'of', 'it', 'orthogonal', 'spatially', 'homogeneous', 'bianchi', 'cosmologies', 'in', 'rngravity', 'we', 'construct', 'a', 'compact', 'state', 'space', 'by', 'dividing', 'the', 'state', 'space', 'into', 'different', 'sectors', 'we', 'perform', 'a', 'detailed', 'analysis', 'of', 'the', 'cosmological', 'behaviour', 'in', 'terms', 'of', 'the', 'parameter', 'n', 'determining', 'all', 'the', 'equilibrium', 'points', 'their', 'stability', 'and', 'corresponding', 'cosmological', 'evolution', 'in', 'particular', 'the', 'appropriately', 'compactified', 'state', 'space', 'allows', 'us', 'to', 'investigate', 'static', 'and', 'bouncing', 'solutions', 'we', 'find', 'no', 'einstein', 'static', 'solutions', 'but', 'there', 'do', 'exist', 'cosmologies', 'with', 'bounce', 'behaviours', 'we', 'also', 'investigate', 'the', 'isotropisation', 'of', 'these', 'models', 'and', 'find', 'that', 'all', 'isotropic', 'points', 'are', 'flat', 'friedmann', 'like']] | [-0.18449955163478346, 0.104670761810905, -0.12205010007849885, 0.10329525029282222, -0.07828414503900895, -0.13282350367568072, -0.01972410490496753, 0.3692823452400315, -0.20135424570044846, -0.2494716465109236, 0.10165999003333374, -0.25233485639443987, -0.10905986137516363, 0.1098669465660633, 0.014463477948843275, 0.0048233677443225405, 0.021732317242177727, -0.0024186270356684634, -0.10588011118691885, -0.2707339084878998, 0.4314955598222616, 0.019763204678260152, 0.27196031745559385, -0.07292973307567169, 0.08982192063975392, -0.04898861447548114, -0.03743931631675189, 0.07187975772110591, -0.24149394163996651, 0.03498709897592085, 0.22428960809010126, 0.12402705833297765, 0.20313218928584195, -0.42456869263816804, -0.24770805182713038, 0.21057936040123978, 0.1683003521180775, 0.15358438664703694, -0.0031579329713600354, -0.2689666213485801, 0.040368841617431456, -0.14874460215418084, -0.17071011018243085, -0.13435652084395433, 0.004458653306570447, -0.009444082781979904, -0.17399102009525433, 0.07736933888902535, 0.017063438799684343, -0.015918364144807445, -0.15279498611615283, -0.03369255887471067, -0.0023290913651507457, 0.1238704877815128, 0.05596748811816706, -0.04514971287532266, 0.06990555903503617, -0.1254657608416221, -0.06180619089005208, 0.3969935117813858, -0.10002367146928044, -0.23703545411524263, 0.15860977436153634, -0.18080161629669658, -0.12058362491808615, 0.07577616371919663, 0.13136639870088368, 0.1328462176228358, -0.10717347076216947, 0.167126256695076, -0.01864861913061547, 0.15973624468609257, 0.09066989710011962, 0.018245707861672254, 0.25789658416026423, 0.09974866864741644, 0.05108823116588433, 0.12604321677292002, -0.01937432174380977, -0.16753652803961513, -0.3605328619715224, -0.16186801893003647, -0.06666746672505097, 0.09376004405288044, -0.163155496404851, -0.22703667944387615, 0.3968351502649631, 0.13079218745448637, 0.1942569033866658, 0.03554426885924293, 0.20104424512574395, 0.03784588742684754, -0.04947523751241851, 0.14819138007491683, 0.2651218713975502, 0.05148606203288491, 0.10792072639954321, -0.22427772853955247, -0.04125968318034723, 0.0336722837901195] |
710.0815 | Canonical form of m-by-2-by-2 matrices over a field of characteristic
other than two | We give a canonical form of m-by-2-by-2 matrices for equivalence over any
field of characteristic not two.
| math.RT | we give a canonical form of mby2by2 matrices for equivalence over any field of characteristic not two | [['we', 'give', 'a', 'canonical', 'form', 'of', 'mby2by2', 'matrices', 'for', 'equivalence', 'over', 'any', 'field', 'of', 'characteristic', 'not', 'two']] | [-0.2157933371490799, 0.10788450244581327, -0.1181524113053456, 0.06672487524338067, -0.03824547480326146, -0.12143718436709605, -0.03244900651043281, 0.36208066064864397, -0.2570881083374843, -0.21909190961741842, 0.03161196151631884, -0.14016983075998724, -0.1423004522221163, 0.26065751630812883, 0.004996328672859818, -0.08070667029824108, 0.015328405759646557, 0.13102577300742269, -0.22234330256469548, -0.2562777381390333, 0.4452865906059742, -0.08866590436082333, 0.1691006601904519, 0.019458754686638713, 0.1922430640552193, 0.04289394471561536, 0.05407352629117668, 0.07830429502064362, -0.09808637137757614, 0.07385221356526017, 0.26459719822742045, 0.20800609211437404, 0.2212806817551609, -0.41583840060047805, -0.1408844718534965, 0.26562148687662557, 0.12145976725150831, 0.086019269132521, -0.031785018160007894, -0.15821532311383635, 0.14191509202555608, -0.17938255553599447, -0.07217548054177314, -0.08155639763572253, 0.032370893728511874, 0.018118389998562634, -0.30394795260508545, -0.013003276893869042, 0.14430577913299203, 0.17848892201436684, -0.0993231680477038, -0.11362053942866623, 0.130524784559384, 0.09112808082136326, -0.01933509379159659, -0.028590725385583937, 0.05728038286906667, -0.08940298610832542, -0.0968693618196994, 0.34745243890210986, -0.11386941489763558, -0.2590450164861977, 0.13416293426416814, -0.1568254844751209, -0.10598117182962596, 0.1597818678128533, 0.10237086983397603, 0.08778808871284127, -0.10695035150274634, 0.13728606095537543, -0.1344330171123147, 0.11686284455936402, 0.07750288059469312, 0.025318693020381033, 0.19370754461851902, -0.0008636406855657697, 0.10300092108082026, 0.10073013696819544, 0.013224668800830841, -0.09208522038534284, -0.39017285872250795, -0.2805620019789785, -0.14131314400583506, 0.19617922186534997, -0.13731088049826212, -0.2580909065436572, 0.46439431099861395, 0.11098810122348368, 0.2637855722568929, 0.15275377786019817, 0.18735913600539789, 0.09408729091228452, 0.09697454993147403, 0.05841348198009655, 0.17000900185666978, 0.2399952382547781, -0.03855085469695041, -0.10857870359905064, 0.0049573235446587205, 0.13340853780391626] |
710.0816 | WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary
conditions at infinity | We consider the semi-classical limit for the Gross-Pitaevskii equation. In
order to consider non-trivial boundary conditions at infinity, we work in
Zhidkov spaces rather than in Sobolev spaces. For the usual cubic nonlinearity,
we obtain a point-wise description of the wave function as the Planck constant
goes to zero, so long as no singularity appears in the limit system. For a
cubic-quintic nonlinearity, we show that working with analytic data may be
necessary and sufficient to obtain a similar result.
| math.AP math-ph math.MP | we consider the semiclassical limit for the grosspitaevskii equation in order to consider nontrivial boundary conditions at infinity we work in zhidkov spaces rather than in sobolev spaces for the usual cubic nonlinearity we obtain a pointwise description of the wave function as the planck constant goes to zero so long as no singularity appears in the limit system for a cubicquintic nonlinearity we show that working with analytic data may be necessary and sufficient to obtain a similar result | [['we', 'consider', 'the', 'semiclassical', 'limit', 'for', 'the', 'grosspitaevskii', 'equation', 'in', 'order', 'to', 'consider', 'nontrivial', 'boundary', 'conditions', 'at', 'infinity', 'we', 'work', 'in', 'zhidkov', 'spaces', 'rather', 'than', 'in', 'sobolev', 'spaces', 'for', 'the', 'usual', 'cubic', 'nonlinearity', 'we', 'obtain', 'a', 'pointwise', 'description', 'of', 'the', 'wave', 'function', 'as', 'the', 'planck', 'constant', 'goes', 'to', 'zero', 'so', 'long', 'as', 'no', 'singularity', 'appears', 'in', 'the', 'limit', 'system', 'for', 'a', 'cubicquintic', 'nonlinearity', 'we', 'show', 'that', 'working', 'with', 'analytic', 'data', 'may', 'be', 'necessary', 'and', 'sufficient', 'to', 'obtain', 'a', 'similar', 'result']] | [-0.14672761496622116, 0.05819169754395261, -0.09377730154083111, 0.14281135583296417, -0.10053801322064829, -0.13281286375713536, 0.014833417793852277, 0.3184387141605839, -0.23515866498928517, -0.21413978829514235, 0.1243659952597227, -0.26897945783275645, -0.1219791364390403, 0.18908652162645012, -0.047435502673033626, 0.07753080762922764, 0.029367858509067445, 0.06968281123263295, -0.10729607938847038, -0.23448712032404728, 0.36313737414893693, -0.012107318008202129, 0.2213480824488215, 0.04993993591051549, 0.08693227307448978, -0.016181156723177992, 0.05466728991013951, -0.0015018285484984517, -0.22257583398941277, 0.020761775568826125, 0.23732170091825538, 0.02212030063383281, 0.29158361435402186, -0.44648927968519275, -0.2455337996245362, 0.12797964057826902, 0.16041566050844266, 0.14985317981045226, 0.027040830859914423, -0.2697308992399485, 0.06365130359190516, -0.11363836070813704, -0.22820232715457678, -0.09955089361355932, 0.01622631765785627, 0.014050852859509178, -0.32063422732462643, 0.09277573175349971, 0.09726894427631123, 0.02037647212855518, -0.12227403377764859, -0.03375075240473961, -0.00464156498783268, 0.06016942263231613, 0.04573629193182569, 0.06330486993974774, 0.009851859306218102, -0.12244359460892155, -0.03365874732262455, 0.3808083236566745, -0.1555651294906056, -0.2380459576146677, 0.1634221197658917, -0.19875546621042303, -0.10634904303005896, 0.0846704926691018, 0.13505776390084065, 0.09615796966536436, -0.10424127960577607, 0.14460662852434325, -0.01676503575708921, 0.14473924025078305, 0.12532300180173478, 0.05521817259577801, 0.09793045474216341, 0.1396855430852156, 0.15494721239083448, 0.16889534201909556, -0.014137084243702702, -0.08825471257878234, -0.3672347872518003, -0.15795284328050913, -0.18580947895534336, 0.1250928526982534, -0.11537562314169918, -0.19222717658849434, 0.312635954466532, 0.13491722081816987, 0.2320889764581807, 0.10723766621267714, 0.24580711759626866, 0.18648462275086786, 0.03643589858256746, 0.05604056891752407, 0.2439448526594788, 0.11372004837321584, 0.132293165079318, -0.1557949015405029, -0.02701829688739963, 0.1027439949393738] |
710.0817 | The radio lighthouse CU Virginis: the spindown of a single main sequence
star | The fast rotating star CU Virginis is a magnetic chemically peculiar star
with an oblique dipolar magnetic field. The continuum radio emission has been
interpreted as gyrosyncrotron emission arising from a thin magnetospheric
layer. Previous radio observations at 1.4 GHz showed that a 100% circular
polarized and highly directive emission component overlaps to the continuum
emission two times per rotation, when the magnetic axis lies in the plane of
the sky. This sort of radio lighthouse has been proposed to be due to cyclotron
maser emission generated above the magnetic pole and propagating
perpendicularly to the magnetic axis. Observations carried out with the
Australia Telescope Compact Array at 1.4 and 2.5 GHz one year after this
discovery show that this radio emission is still present, meaning that the
phenomenon responsible for this process is steady on a timescale of years. The
emitted radiation spans at least 1 GHz, being observed from 1.4 to 2.5 GHz. On
the light of recent results on the physics of the magnetosphere of this star,
the possibility of plasma radiation is ruled out. The characteristics of this
radio lighthouse provides us a good marker of the rotation period, since the
peaks are visible at particular rotational phases. After one year, they show a
delay of about 15 minutes. This is interpreted as a new abrupt spinning down of
the star. Among several possibilities, a quick emptying of the equatorial
magnetic belt after reaching the maximum density can account for the magnitude
of the breaking. The study of the coherent emission in stars like CU Vir, as
well as in pre main sequence stars, can give important insight into the angular
momentum evolution in young stars. This is a promising field of investigation
that high sensitivity radio interferometers such as SKA can exploit.
| astro-ph | the fast rotating star cu virginis is a magnetic chemically peculiar star with an oblique dipolar magnetic field the continuum radio emission has been interpreted as gyrosyncrotron emission arising from a thin magnetospheric layer previous radio observations at 14 ghz showed that a 100 circular polarized and highly directive emission component overlaps to the continuum emission two times per rotation when the magnetic axis lies in the plane of the sky this sort of radio lighthouse has been proposed to be due to cyclotron maser emission generated above the magnetic pole and propagating perpendicularly to the magnetic axis observations carried out with the australia telescope compact array at 14 and 25 ghz one year after this discovery show that this radio emission is still present meaning that the phenomenon responsible for this process is steady on a timescale of years the emitted radiation spans at least 1 ghz being observed from 14 to 25 ghz on the light of recent results on the physics of the magnetosphere of this star the possibility of plasma radiation is ruled out the characteristics of this radio lighthouse provides us a good marker of the rotation period since the peaks are visible at particular rotational phases after one year they show a delay of about 15 minutes this is interpreted as a new abrupt spinning down of the star among several possibilities a quick emptying of the equatorial magnetic belt after reaching the maximum density can account for the magnitude of the breaking the study of the coherent emission in stars like cu vir as well as in pre main sequence stars can give important insight into the angular momentum evolution in young stars this is a promising field of investigation that high sensitivity radio interferometers such as ska can exploit | [['the', 'fast', 'rotating', 'star', 'cu', 'virginis', 'is', 'a', 'magnetic', 'chemically', 'peculiar', 'star', 'with', 'an', 'oblique', 'dipolar', 'magnetic', 'field', 'the', 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710.0818 | One-loop effects in a self-dual planar noncommutative theory | We study the UV properties, and derive the explicit form of the one-loop
effective action, for a noncommutative complex scalar field theory in 2+1
dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also
consider quantum effects around non-trivial minima of the classical action
which appear when the potential allows for the spontaneous breaking of the U(1)
symmetry. For those solutions, we show that the one-loop correction to the
vacuum energy is a function of a special combination of the amplitude of the
classical solution and the coupling constant.
| hep-th | we study the uv properties and derive the explicit form of the oneloop effective action for a noncommutative complex scalar field theory in 21 dimensions with a grossewulkenhaar term at the selfdual point we also consider quantum effects around nontrivial minima of the classical action which appear when the potential allows for the spontaneous breaking of the u1 symmetry for those solutions we show that the oneloop correction to the vacuum energy is a function of a special combination of the amplitude of the classical solution and the coupling constant | [['we', 'study', 'the', 'uv', 'properties', 'and', 'derive', 'the', 'explicit', 'form', 'of', 'the', 'oneloop', 'effective', 'action', 'for', 'a', 'noncommutative', 'complex', 'scalar', 'field', 'theory', 'in', '21', 'dimensions', 'with', 'a', 'grossewulkenhaar', 'term', 'at', 'the', 'selfdual', 'point', 'we', 'also', 'consider', 'quantum', 'effects', 'around', 'nontrivial', 'minima', 'of', 'the', 'classical', 'action', 'which', 'appear', 'when', 'the', 'potential', 'allows', 'for', 'the', 'spontaneous', 'breaking', 'of', 'the', 'u1', 'symmetry', 'for', 'those', 'solutions', 'we', 'show', 'that', 'the', 'oneloop', 'correction', 'to', 'the', 'vacuum', 'energy', 'is', 'a', 'function', 'of', 'a', 'special', 'combination', 'of', 'the', 'amplitude', 'of', 'the', 'classical', 'solution', 'and', 'the', 'coupling', 'constant']] | [-0.16294822345242008, 0.12701673152898568, -0.0692503146827221, 0.106408365667125, -0.053382529794341986, -0.10590273404700888, 0.02549343883810151, 0.28349808390355774, -0.22771502405974187, -0.2583518080930743, 0.09215121135607154, -0.2721746542699596, -0.20252889274723, 0.11951969746345033, 0.018507573484546607, 0.0312218539778971, -0.024821062316186727, 0.09320733952853415, -0.11796011207366569, -0.21467041118950064, 0.3567868701958408, 0.017574773686161886, 0.24297993794187076, 0.08191938499092227, 0.11465810074263977, 0.01280443188475652, 0.01673408842826676, -0.010386436008330849, -0.1275320678824048, 0.08573394920418245, 0.1616878069885489, 0.020918142148810957, 0.1869727592708336, -0.39752515370233193, -0.21722922729742195, 0.10855788541957737, 0.09693530813480417, 0.18143179821135064, -0.06285943643500408, -0.2548865815831555, 0.06493377812051525, -0.1554114194586873, -0.19623429095372558, -0.07445057320615484, 0.010530834460061872, -0.05357778583808492, -0.3120122438115585, 0.07298955528337198, 0.016980956587940455, 0.048730256931028434, -0.08306863509804113, -0.06093077170145181, -0.01732480233638651, 0.09720026140211202, 0.10274182754284185, 0.05275318403469605, 0.09484663316074551, -0.21976125198933813, -0.105104821052454, 0.4024840610722701, -0.13382675761046509, -0.2087284592187239, 0.13083346221182082, -0.14004171565498433, -0.12665645060543385, 0.12759108143056638, 0.1339588868121306, 0.14561498819643426, -0.11462325810069969, 0.21451608799268596, -0.0023242770306145153, 0.13064742607174493, 0.06982763503781624, 0.06222530475093259, 0.21694211641119587, 0.05428546028366933, 0.05300631115419997, 0.1586713451374736, -0.05558236819278035, -0.16035260394629505, -0.40941149969067836, -0.1563082795434942, -0.10552487320577104, 0.11283227568492293, -0.14092527445269903, -0.19196861519271302, 0.43872036738062486, 0.11650472578670208, 0.16016832053040464, 0.0699289829379672, 0.2422292412413905, 0.18252915895750954, 0.09753940302826879, 0.04201056014022066, 0.2742037150181002, 0.1182070702003936, 0.049248690515135723, -0.2795537010404385, -0.0966673232414501, 0.13133103592424758] |
710.0819 | Compactifying the state space for alternative theories of gravity | In this paper we address important issues surrounding the choice of variables
when performing a dynamical systems analysis of alternative theories of
gravity. We discuss the advantages and disadvantages of compactifying the state
space, and illustrate this using two examples. We first show how to define a
compact state space for the class of LRS Bianchi type I models in $R^n$-gravity
and compare to a non--compact expansion--normalised approach. In the second
example we consider the flat Friedmann matter subspace of the previous example,
and compare the compact analysis to studies where non-compact
non--expansion--normalised variables were used. In both examples we comment on
the existence of bouncing or recollapsing orbits as well as the existence of
static models.
| gr-qc astro-ph math.DS | in this paper we address important issues surrounding the choice of variables when performing a dynamical systems analysis of alternative theories of gravity we discuss the advantages and disadvantages of compactifying the state space and illustrate this using two examples we first show how to define a compact state space for the class of lrs bianchi type i models in rngravity and compare to a noncompact expansionnormalised approach in the second example we consider the flat friedmann matter subspace of the previous example and compare the compact analysis to studies where noncompact nonexpansionnormalised variables were used in both examples we comment on the existence of bouncing or recollapsing orbits as well as the existence of static models | [['in', 'this', 'paper', 'we', 'address', 'important', 'issues', 'surrounding', 'the', 'choice', 'of', 'variables', 'when', 'performing', 'a', 'dynamical', 'systems', 'analysis', 'of', 'alternative', 'theories', 'of', 'gravity', 'we', 'discuss', 'the', 'advantages', 'and', 'disadvantages', 'of', 'compactifying', 'the', 'state', 'space', 'and', 'illustrate', 'this', 'using', 'two', 'examples', 'we', 'first', 'show', 'how', 'to', 'define', 'a', 'compact', 'state', 'space', 'for', 'the', 'class', 'of', 'lrs', 'bianchi', 'type', 'i', 'models', 'in', 'rngravity', 'and', 'compare', 'to', 'a', 'noncompact', 'expansionnormalised', 'approach', 'in', 'the', 'second', 'example', 'we', 'consider', 'the', 'flat', 'friedmann', 'matter', 'subspace', 'of', 'the', 'previous', 'example', 'and', 'compare', 'the', 'compact', 'analysis', 'to', 'studies', 'where', 'noncompact', 'nonexpansionnormalised', 'variables', 'were', 'used', 'in', 'both', 'examples', 'we', 'comment', 'on', 'the', 'existence', 'of', 'bouncing', 'or', 'recollapsing', 'orbits', 'as', 'well', 'as', 'the', 'existence', 'of', 'static', 'models']] | [-0.11671631431191004, 0.04739780037900722, -0.07094009648928226, 0.09233861567717495, -0.08969920804194206, -0.13026864675038238, 0.01082327992932325, 0.35419677487767204, -0.20281410628351673, -0.26175081458018995, 0.16308518619164183, -0.2512238218432999, -0.1668793983448393, 0.1737401934224181, -0.08813061445533972, -0.003731417891184061, 0.021772096409253646, 0.022871466872386698, -0.11651184811288941, -0.26018858622510693, 0.4243003967768063, -0.0002426303911087071, 0.23418455330076918, -0.015171688214618841, 0.10399644447346057, -0.0253325121011585, -0.058101143888679554, 0.04970528997013201, -0.15745537339083465, 0.09289830305276374, 0.2200594876764532, 0.13023976102503465, 0.24808100750669837, -0.4057777215052268, -0.2611917813332623, 0.12969134824254133, 0.13413065487663423, 0.12983573271074042, -0.05347352326498367, -0.29779374864402003, 0.05635313621665961, -0.18744569735055597, -0.1818581502242335, -0.11192065040613043, 0.015379734827077081, 0.015868376304218865, -0.19716879579334937, 0.06346212217287192, 0.05587982387128407, 0.01682225828950197, -0.12357707772452127, -0.09706410688171484, 0.011746449707124126, 0.09185371744764591, 0.0759607520915873, -0.027956679684174215, 0.08510920883894994, -0.12006394244361154, -0.15024636389591314, 0.388213461802887, -0.10702516714709104, -0.22947291821915786, 0.2024002104499859, -0.11788425450052681, -0.1789971929212133, 0.0031602861066669994, 0.1814955295834305, 0.16965142871526168, -0.09950415365227823, 0.1266662877510655, -0.010173159450240402, 0.11891490364736267, 0.039362315867288875, 0.025613639848949068, 0.1911077618534709, 0.18836945062703936, 0.012147136715015975, 0.17535119710875482, -0.05956222452745163, -0.11688343858635374, -0.3707119561972675, -0.18994418451369838, -0.11872108864341059, 0.05241372977816981, -0.08509329502854159, -0.1527111338981395, 0.40658721123051283, 0.16086591339413206, 0.18769014668490352, 0.02779848250391861, 0.26963433973964884, 0.03253833445166398, -0.03432555907759173, 0.07745402415507827, 0.21637318212265982, 0.11780211644383662, 0.06666131635750483, -0.1959169225324174, -0.04973505281618443, 0.06778457821828537] |
710.082 | Is the accelerated expansion evidence of a forthcoming change of
signature on the brane? | We show that regular changes of signature on brane-worlds in AdS bulks may
account for some types of the recently fashionable sudden singularities.
Therefore, the possibility that the Universe seems to approach a future sudden
singularity at an accelerated rate of expansion might simply be an indication
that our braneworld is about to change from Lorentzian to Euclidean signature.
Both the brane and the bulk remain fully regular everywhere. We present a model
in which the weak and strong energy conditions hold on the brane, in contrast
with the standard cosmologies leading to the analogous kinematical behaviour
(that is, with a diverging Hubble factor).
| gr-qc hep-th | we show that regular changes of signature on braneworlds in ads bulks may account for some types of the recently fashionable sudden singularities therefore the possibility that the universe seems to approach a future sudden singularity at an accelerated rate of expansion might simply be an indication that our braneworld is about to change from lorentzian to euclidean signature both the brane and the bulk remain fully regular everywhere we present a model in which the weak and strong energy conditions hold on the brane in contrast with the standard cosmologies leading to the analogous kinematical behaviour that is with a diverging hubble factor | [['we', 'show', 'that', 'regular', 'changes', 'of', 'signature', 'on', 'braneworlds', 'in', 'ads', 'bulks', 'may', 'account', 'for', 'some', 'types', 'of', 'the', 'recently', 'fashionable', 'sudden', 'singularities', 'therefore', 'the', 'possibility', 'that', 'the', 'universe', 'seems', 'to', 'approach', 'a', 'future', 'sudden', 'singularity', 'at', 'an', 'accelerated', 'rate', 'of', 'expansion', 'might', 'simply', 'be', 'an', 'indication', 'that', 'our', 'braneworld', 'is', 'about', 'to', 'change', 'from', 'lorentzian', 'to', 'euclidean', 'signature', 'both', 'the', 'brane', 'and', 'the', 'bulk', 'remain', 'fully', 'regular', 'everywhere', 'we', 'present', 'a', 'model', 'in', 'which', 'the', 'weak', 'and', 'strong', 'energy', 'conditions', 'hold', 'on', 'the', 'brane', 'in', 'contrast', 'with', 'the', 'standard', 'cosmologies', 'leading', 'to', 'the', 'analogous', 'kinematical', 'behaviour', 'that', 'is', 'with', 'a', 'diverging', 'hubble', 'factor']] | [-0.12938063671418393, 0.11512970991791988, -0.13625579153617415, 0.09578140231986673, -0.1045757253058792, -0.12394555157516152, -0.011903713694594514, 0.35136041978302485, -0.22541759359256291, -0.23726820624702108, 0.09718957912432066, -0.26768430870680066, -0.12034632672797531, 0.1705049441549748, -0.07887088939773654, -0.034903654102191255, 0.017182782201696403, 0.05302566123338273, -0.08362142709442057, -0.24901067165774293, 0.3747502866720494, 0.08594387694476889, 0.27448781279739565, 0.07280222999934967, 0.042860971101058215, -0.07170209326544025, 0.028173478436656296, 0.08121967005829972, -0.1427241425632159, 0.0374641348289515, 0.19725557624434048, 0.07820879867694412, 0.20595660738539523, -0.4333990988446973, -0.2506271225507729, 0.14442538470925334, 0.16661024467052463, 0.1543706811980183, -0.05546427182539796, -0.2798272750537413, 0.08055465438015884, -0.15587477088690951, -0.1836297193166012, -0.05181238983417503, 0.013045245826595839, -0.07237802013360824, -0.23089597897174266, 0.1159682117554789, 0.06977809527150104, -0.012267334601626946, -0.09207432269781399, -0.011036379589663388, 0.0008527284438829296, 0.07500477907328437, 0.10347415293598225, 0.055217715712317914, 0.09623406387534207, -0.13236718550671447, -0.10214456392881963, 0.3588083910648353, -0.11023544525512709, -0.1528599145464026, 0.1985421939557105, -0.20620545636540136, -0.10341169648633625, 0.11507147994080487, 0.11322138287673275, 0.11225370905986683, -0.12879417885470992, 0.10393078135250387, 0.018306074959512513, 0.14589253837206903, 0.09273661903213136, 0.043548395606474236, 0.28063660181270766, 0.11570377389076524, 0.04673589243723724, 0.11066369413142987, -0.04409679339285223, -0.09996072384707916, -0.37612310933092463, -0.14652350070313191, -0.11632534476498571, 0.089867850534994, -0.1625484215549547, -0.21590907436508971, 0.36355579952046707, 0.11641153974051122, 0.23459954338613898, 0.005492186506251948, 0.24017237685173035, 0.06405637722771364, 0.07896908677111451, 0.0915615163822412, 0.2827315536081957, 0.030461110326891336, 0.12695124101502678, -0.21368896057874037, 0.040559494511958644, 0.04261497263975728] |
710.0821 | Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack
complex | This paper aims to give a short but self-contained introduction into the
theory of (wheeled) props, properads, dioperads and operads, and illustrate
some of its key ideas in terms of a prop(erad)ic interpretation of simplicial
and permutahedra cell complexes with subsequent applications to the
Hochschild-Kostant-Rosenberg type isomorphisms.
| math.QA | this paper aims to give a short but selfcontained introduction into the theory of wheeled props properads dioperads and operads and illustrate some of its key ideas in terms of a properadic interpretation of simplicial and permutahedra cell complexes with subsequent applications to the hochschildkostantrosenberg type isomorphisms | [['this', 'paper', 'aims', 'to', 'give', 'a', 'short', 'but', 'selfcontained', 'introduction', 'into', 'the', 'theory', 'of', 'wheeled', 'props', 'properads', 'dioperads', 'and', 'operads', 'and', 'illustrate', 'some', 'of', 'its', 'key', 'ideas', 'in', 'terms', 'of', 'a', 'properadic', 'interpretation', 'of', 'simplicial', 'and', 'permutahedra', 'cell', 'complexes', 'with', 'subsequent', 'applications', 'to', 'the', 'hochschildkostantrosenberg', 'type', 'isomorphisms']] | [-0.11115052068031374, 0.044087565603091364, -0.09249236486218076, 0.10712728501505595, -0.14745324407704175, -0.1391103186922029, -0.0037745510505393463, 0.3109506470488107, -0.3538601977076936, -0.25505351802294557, 0.09405608670142024, -0.17872097236203385, -0.23900411713947642, 0.15266647312710893, -0.24413728234457208, -0.11620696776848723, 0.09283932723461631, 0.04588062304290051, -0.028740251070245148, -0.27898074959979413, 0.3544466967218892, 0.051437490481011414, 0.18860323483401792, 0.11668209559185073, 0.12227631445498542, 0.02584958219147743, -0.07756801836063808, -0.004490555799070825, -0.20343957312325847, 0.25375045343064406, 0.31951469363288043, 0.10313691951810046, 0.21726960795832442, -0.46317755652869, -0.11898586626580739, 0.07012669225916901, 0.11291212438942587, 0.0846675278896347, -0.04597101731106956, -0.30196556401379565, 0.08675427275135163, -0.21758327670791683, -0.13010737208768408, -0.0928376741865848, 0.04599481265982019, 0.06203631917014718, -0.18716763175449314, -0.06611378799549285, 0.15925612752424909, 0.11041473197017579, -0.05936522422757178, -0.1011104313458534, -0.02519782339321806, 0.11132321465126377, -0.034566617261202255, -0.023584564493850192, 0.08336685475536641, -0.11697404755854067, -0.18885251919322826, 0.41443177241277185, 0.013553632517404695, -0.1454375592119833, 0.2068771743450928, -0.08218301652356032, -0.160308880112233, 0.10571218192815146, 0.0634291715365141, 0.1389290123702364, -0.11956583647097045, 0.14777763094381488, -0.02163515679855296, 0.04365015606534608, 0.104695380883331, 0.0674391674234512, 0.18163773717675755, 0.15887234040952108, 0.029906684364330895, 0.15373890987656852, 0.0842784625537535, -0.10944181135756538, -0.34013929479616756, -0.2169160048497167, -0.011544912062743877, 0.10540275761183907, -0.07876592136311414, -0.19326681255343112, 0.40498442678375446, 0.13159973110924375, 0.18110593838587483, 0.15340439353058946, 0.27793841079828585, -0.028972257840189527, 0.04718228380388997, -0.07919874005614126, 0.05259870741568367, 0.30583987900234283, 0.10359538366344381, -0.07042560532213525, -0.022397732243258903, 0.23392622987244358] |
710.0822 | Size Dependence and Convergence of the Retrieval Parameters of
Metamaterials | We study the dependence of the retrieval parameters, such as the electric
permittivity, the magnetic permeability and the index of refraction, $n$, on
the size of the unit cell of a periodic metamaterial. The convergence of the
retrieved parameters on the number of the unit cells is also examined. We have
concentrated our studies on the so-called fishnet structure, which is the most
promising design to obtain negative $n$ at optical wavelengths. We find that as
the size of the unit cell decreases, the magnitude of the retrieved effective
parameters increases. The convergence of the effective parameters of the
fishnet as the number of the unit cells increases is demonstrated but found to
be slower than for regular split ring resonators and wires structures. This is
due to a much stronger coupling between the different unit cells in the fishnet
structure.
| cond-mat.mtrl-sci cond-mat.other | we study the dependence of the retrieval parameters such as the electric permittivity the magnetic permeability and the index of refraction n on the size of the unit cell of a periodic metamaterial the convergence of the retrieved parameters on the number of the unit cells is also examined we have concentrated our studies on the socalled fishnet structure which is the most promising design to obtain negative n at optical wavelengths we find that as the size of the unit cell decreases the magnitude of the retrieved effective parameters increases the convergence of the effective parameters of the fishnet as the number of the unit cells increases is demonstrated but found to be slower than for regular split ring resonators and wires structures this is due to a much stronger coupling between the different unit cells in the fishnet structure | [['we', 'study', 'the', 'dependence', 'of', 'the', 'retrieval', 'parameters', 'such', 'as', 'the', 'electric', 'permittivity', 'the', 'magnetic', 'permeability', 'and', 'the', 'index', 'of', 'refraction', 'n', 'on', 'the', 'size', 'of', 'the', 'unit', 'cell', 'of', 'a', 'periodic', 'metamaterial', 'the', 'convergence', 'of', 'the', 'retrieved', 'parameters', 'on', 'the', 'number', 'of', 'the', 'unit', 'cells', 'is', 'also', 'examined', 'we', 'have', 'concentrated', 'our', 'studies', 'on', 'the', 'socalled', 'fishnet', 'structure', 'which', 'is', 'the', 'most', 'promising', 'design', 'to', 'obtain', 'negative', 'n', 'at', 'optical', 'wavelengths', 'we', 'find', 'that', 'as', 'the', 'size', 'of', 'the', 'unit', 'cell', 'decreases', 'the', 'magnitude', 'of', 'the', 'retrieved', 'effective', 'parameters', 'increases', 'the', 'convergence', 'of', 'the', 'effective', 'parameters', 'of', 'the', 'fishnet', 'as', 'the', 'number', 'of', 'the', 'unit', 'cells', 'increases', 'is', 'demonstrated', 'but', 'found', 'to', 'be', 'slower', 'than', 'for', 'regular', 'split', 'ring', 'resonators', 'and', 'wires', 'structures', 'this', 'is', 'due', 'to', 'a', 'much', 'stronger', 'coupling', 'between', 'the', 'different', 'unit', 'cells', 'in', 'the', 'fishnet', 'structure']] | [-0.1462031740460756, 0.14100762335121209, 0.02065261645929505, -0.0020652064217208284, -0.05061482627304759, -0.08539904177136032, 0.04890072036778938, 0.3892933434892631, -0.2569639680499264, -0.2960757538412057, 0.0817423202485467, -0.28132126853860756, -0.16047535855356101, 0.2110070706285695, -0.013135538928554201, 0.0056291556799889985, -0.022242496044421238, 0.06976994688470736, -0.035465617566732756, -0.23816743275771537, 0.27206519851461053, 0.07890995849478752, 0.3059702052714977, 0.04043553359699204, 0.0709671808690731, -0.02452987635257185, 0.022849928815551895, 0.04927924692842132, -0.13091457550582544, 0.1381454977788137, 0.15054328206939793, 0.03383438284211653, 0.24985219620445626, -0.42022628852344573, -0.21977861566429444, 0.060896537963512305, 0.1581540227081653, 0.06718436142690612, -0.036784370534670215, -0.17715300090861977, 0.09121781208136297, -0.08917580206105684, -0.14365583041877691, -0.009037828594710388, 0.04556830410997496, 0.04393153658453772, -0.27431762445609065, 0.017046349290931757, 0.029364378931304665, 0.05482861222963489, -0.07663165309618339, -0.14048841865799316, -0.04804967065566345, 0.15662091059927294, 0.03820742252580029, -0.005026277479986455, 0.15924035395819244, -0.12003694826585129, -0.045474638432554955, 0.3935919295970007, -0.04025131104076826, -0.2008886544086726, 0.15587432416327668, -0.19425963134800434, -0.03820265924883346, 0.12850666268735278, 0.17929705565940615, 0.11525045698904927, -0.0668486858881574, 0.05383173315472082, -0.06695163273087419, 0.21692055380814015, 0.10577111979054803, 0.0688012299963425, 0.17152740491937238, 0.2070133115448956, 0.06706111190088443, 0.18427223019245748, -0.1045225040693206, -0.0464922922419001, -0.2519097346680384, -0.16307738134703526, -0.20342796278707947, 0.03665980974093397, -0.18139009611290577, -0.22065919568986758, 0.42692381551106134, 0.11957968062067285, 0.22288651592473843, 0.02464134238597587, 0.2999591343468121, 0.13109774544260444, 0.16628765174788787, 0.02336671970890346, 0.2676671924521975, 0.15224719534839457, 0.10903538861939459, -0.27185150594879864, 0.04483990991118212, 0.02550351740924496] |
710.0823 | Three topics in additive prime number theory | This is an expository article to accompany my two lectures at the CDM
conference. I have used this an excuse to make public two sets of notes I had
lying around, and also to put together a short reader's guide to some recent
joint work with T.Tao. Contents: 1. An exposition, without much detail, of the
work of Goldston, Pintz and Yildirim on gaps between primes; 2. A detailed
discussion of the work of Mauduit and Rivat establishing that 50 percent of the
primes have odd digit sum when written in base 2; 3. A reader's guide to recent
work of T.Tao and the author on linear equations in primes.
The sections can be read independently.
| math.NT | this is an expository article to accompany my two lectures at the cdm conference i have used this an excuse to make public two sets of notes i had lying around and also to put together a short readers guide to some recent joint work with ttao contents 1 an exposition without much detail of the work of goldston pintz and yildirim on gaps between primes 2 a detailed discussion of the work of mauduit and rivat establishing that 50 percent of the primes have odd digit sum when written in base 2 3 a readers guide to recent work of ttao and the author on linear equations in primes the sections can be read independently | [['this', 'is', 'an', 'expository', 'article', 'to', 'accompany', 'my', 'two', 'lectures', 'at', 'the', 'cdm', 'conference', 'i', 'have', 'used', 'this', 'an', 'excuse', 'to', 'make', 'public', 'two', 'sets', 'of', 'notes', 'i', 'had', 'lying', 'around', 'and', 'also', 'to', 'put', 'together', 'a', 'short', 'readers', 'guide', 'to', 'some', 'recent', 'joint', 'work', 'with', 'ttao', 'contents', '1', 'an', 'exposition', 'without', 'much', 'detail', 'of', 'the', 'work', 'of', 'goldston', 'pintz', 'and', 'yildirim', 'on', 'gaps', 'between', 'primes', '2', 'a', 'detailed', 'discussion', 'of', 'the', 'work', 'of', 'mauduit', 'and', 'rivat', 'establishing', 'that', '50', 'percent', 'of', 'the', 'primes', 'have', 'odd', 'digit', 'sum', 'when', 'written', 'in', 'base', '2', '3', 'a', 'readers', 'guide', 'to', 'recent', 'work', 'of', 'ttao', 'and', 'the', 'author', 'on', 'linear', 'equations', 'in', 'primes', 'the', 'sections', 'can', 'be', 'read', 'independently']] | [-0.11048960754174161, 0.07431553765478573, -0.11104725453609215, 0.05085537436012789, -0.11632493196119523, -0.1325367546584136, 0.036923451774657286, 0.3113584553116354, -0.1996737922750542, -0.33042986666510715, 0.0807727225239495, -0.322522771263752, -0.10665939023100032, 0.17292346904889264, -0.1359382536952737, -0.028048459248785892, 0.05486983821952138, 0.023777196448745912, -0.03510200125285713, -0.3815059638040237, 0.3157361393698074, 0.09138135102192133, 0.20565155437537308, 0.0967694467921131, 0.0362570159024848, -0.004828085095204156, -0.08760942762832012, -0.0546388136752849, -0.1709141627796208, 0.15077968322318688, 0.32135721732428746, 0.10301596255158074, 0.311352173757643, -0.4577334671971741, -0.0950890492471256, 0.05303399744925314, 0.13194085862326982, 0.07486559402454517, -0.011620935719010645, -0.26847212501913953, 0.11790420638862997, -0.18514130916446447, -0.10232534410897642, -0.015052096404392144, 0.06713811380001877, 0.03594526483031022, -0.19045167084751202, -0.013302380582648892, 0.12949583447811291, 0.15965679942646288, -0.011403715227939317, -0.20306124020335747, 0.07475918519776314, 0.09066316301473777, 0.09040462497244428, 0.09150065853388915, 0.024236161351115604, -0.07812410349363526, -0.11502154089976102, 0.3344590289775154, -0.034003886470474816, -0.15079159637640133, 0.13441917482073065, -0.125344568662795, -0.18206590736196537, 0.0801420104288464, 0.16934292117567284, 0.1106895217230415, -0.11793695650214495, 0.06017503560849883, -0.06295651360979436, 0.18404107585003407, 0.1430186889503665, -0.019904234900203502, 0.19255149170780425, 0.10183301071660465, -0.02711439849246807, 0.05490946571908666, -0.010611248728498045, -0.024831484200368667, -0.3328720800104904, -0.17679308240245706, -0.1540171719910898, 0.08981607035645445, 0.028488229675688138, -0.08930583804964233, 0.3959466536641763, 0.15089943118449622, 0.19707458855279175, 0.06062418904059149, 0.23652991721535038, 0.04734322790995818, -0.0045933699684924095, 0.03847736102209732, 0.15674316916330758, 0.11490427387541095, 0.1112379650705783, -0.06545199166003872, -0.011355390493228132, 0.07430612223507868] |
710.0824 | Two algorithms in search of a type system | The authors' ATR programming formalism is a version of call-by-value PCF
under a complexity-theoretically motivated type system. ATR programs run in
type-2 polynomial-time and all standard type-2 basic feasible functionals are
ATR-definable (ATR types are confined to levels 0, 1, and 2). A limitation of
the original version of ATR is that the only directly expressible recursions
are tail-recursions. Here we extend ATR so that a broad range of affine
recursions are directly expressible. In particular, the revised ATR can fairly
naturally express the classic insertion- and selection-sort algorithms, thus
overcoming a sticking point of most prior implicit-complexity-based formalisms.
The paper's main work is in refining the original time-complexity semantics for
ATR to show that these new recursion schemes do not lead out of the realm of
feasibility.
| cs.LO cs.PL | the authors atr programming formalism is a version of callbyvalue pcf under a complexitytheoretically motivated type system atr programs run in type2 polynomialtime and all standard type2 basic feasible functionals are atrdefinable atr types are confined to levels 0 1 and 2 a limitation of the original version of atr is that the only directly expressible recursions are tailrecursions here we extend atr so that a broad range of affine recursions are directly expressible in particular the revised atr can fairly naturally express the classic insertion and selectionsort algorithms thus overcoming a sticking point of most prior implicitcomplexitybased formalisms the papers main work is in refining the original timecomplexity semantics for atr to show that these new recursion schemes do not lead out of the realm of feasibility | [['the', 'authors', 'atr', 'programming', 'formalism', 'is', 'a', 'version', 'of', 'callbyvalue', 'pcf', 'under', 'a', 'complexitytheoretically', 'motivated', 'type', 'system', 'atr', 'programs', 'run', 'in', 'type2', 'polynomialtime', 'and', 'all', 'standard', 'type2', 'basic', 'feasible', 'functionals', 'are', 'atrdefinable', 'atr', 'types', 'are', 'confined', 'to', 'levels', '0', '1', 'and', '2', 'a', 'limitation', 'of', 'the', 'original', 'version', 'of', 'atr', 'is', 'that', 'the', 'only', 'directly', 'expressible', 'recursions', 'are', 'tailrecursions', 'here', 'we', 'extend', 'atr', 'so', 'that', 'a', 'broad', 'range', 'of', 'affine', 'recursions', 'are', 'directly', 'expressible', 'in', 'particular', 'the', 'revised', 'atr', 'can', 'fairly', 'naturally', 'express', 'the', 'classic', 'insertion', 'and', 'selectionsort', 'algorithms', 'thus', 'overcoming', 'a', 'sticking', 'point', 'of', 'most', 'prior', 'implicitcomplexitybased', 'formalisms', 'the', 'papers', 'main', 'work', 'is', 'in', 'refining', 'the', 'original', 'timecomplexity', 'semantics', 'for', 'atr', 'to', 'show', 'that', 'these', 'new', 'recursion', 'schemes', 'do', 'not', 'lead', 'out', 'of', 'the', 'realm', 'of', 'feasibility']] | [-0.09444254065202849, 0.009711563301783415, -0.06985527310039728, 0.09407096171672756, -0.10297571467761431, -0.18127425541094835, 0.06075669052745892, 0.3700402737238384, -0.2817065565811185, -0.2947029404101833, 0.09052925370727485, -0.24113286740236706, -0.14829878084692022, 0.21999664601753466, -0.1405540409895982, 0.07002860262347836, 0.04912732759370438, -0.011869977380434472, -0.09404990266850818, -0.27964600467408496, 0.314470385321446, 0.009058228701413158, 0.2553419401050515, 0.021957472037625377, 0.061558236497559496, 0.013858285809551635, -0.01619945692777213, 0.03846830893082604, -0.07760830688370803, 0.12761488267889007, 0.31358716460395486, 0.19034720533677646, 0.2802888345003368, -0.37233690828866056, -0.18225001802960422, 0.08975550249564432, 0.13361131317252595, 0.11702704700831917, 0.014771490275198895, -0.23505929189418712, 0.09538006575988425, -0.14460213909384742, -0.07470556506286224, -0.0766017655353813, -0.005207968778127144, 0.04426448736828001, -0.22651180095459905, 0.008112710765412739, 0.13491130358118925, 0.06289509029668425, -0.04866639145972928, -0.14047150832371816, 0.025140573285640247, 0.06270928671508427, -0.02570940911274163, 0.020750529023878757, 0.1215712511987095, -0.08228725406966518, -0.1792462961260049, 0.3626018948702803, -0.020093402740800934, -0.19193061942895573, 0.18917138415629103, -0.08440665791427056, -0.1853545547731506, 0.13883866675408377, 0.1255207777571594, 0.17398667642696491, -0.1570220403523455, 0.11341617410606329, -0.08730967515598863, 0.19097440475490013, 0.11711883107050051, 0.02785307100237978, 0.1439026248483588, 0.11951510543698415, 0.02600481787193266, 0.12034480256636837, -0.019814296817076544, -0.09789004343967404, -0.33049704537035957, -0.1631833736279488, -0.13422609643631375, -0.03129513688456369, -0.04128113392359791, -0.1353318937791271, 0.36331933404829714, 0.1699320575064649, 0.1321438759219863, 0.1576241260777498, 0.29806943508916567, 0.14648225573605048, 0.10120159146871659, 0.034628214252616966, 0.20202355885562756, 0.08323328117577118, 0.08900591056578466, -0.1365934632072646, 0.06446368277688781, 0.098628246071448] |
710.0825 | Entanglement Witnesses from Single-Particle Interference | We describe a general method of realizing entanglement witnesses in terms of
the interference pattern of a single quantum probe. After outlining the
principle, we discuss specific realizations both with electrons in mesoscopic
Aharonov-Bohm rings and with photons in standard Young's double-slit or
coherent-backscattering interferometers.
| quant-ph cond-mat.mes-hall | we describe a general method of realizing entanglement witnesses in terms of the interference pattern of a single quantum probe after outlining the principle we discuss specific realizations both with electrons in mesoscopic aharonovbohm rings and with photons in standard youngs doubleslit or coherentbackscattering interferometers | [['we', 'describe', 'a', 'general', 'method', 'of', 'realizing', 'entanglement', 'witnesses', 'in', 'terms', 'of', 'the', 'interference', 'pattern', 'of', 'a', 'single', 'quantum', 'probe', 'after', 'outlining', 'the', 'principle', 'we', 'discuss', 'specific', 'realizations', 'both', 'with', 'electrons', 'in', 'mesoscopic', 'aharonovbohm', 'rings', 'and', 'with', 'photons', 'in', 'standard', 'youngs', 'doubleslit', 'or', 'coherentbackscattering', 'interferometers']] | [-0.15789926023119025, 0.1888505466696289, -0.07640833579417732, 0.05456372996171315, 0.0045102206576201655, -0.1963336808193061, 0.020680576495619284, 0.35671828877594736, -0.25434487894591357, -0.26604251484904023, -0.030906847447881268, -0.24932525743626885, -0.14910715874801908, 0.2218454754135261, -0.06100494429055187, 0.04725354558063878, 0.05145569962656332, -0.01965921769539515, -0.10388170037832525, -0.194310144873129, 0.2904849651269615, 0.05922552416256319, 0.28333922022332747, 0.051301743452333744, 0.0879716016455657, 0.07355678930050796, -0.019437372270557616, 0.03533108904957771, -0.12806098113457362, 0.0818038400883476, 0.2274260157512294, 0.08375707475158076, 0.1759845679315428, -0.4989580026931233, -0.17753096734070115, 0.10010950272488925, 0.0826553431029121, 0.20935757704493071, -0.036089711398300195, -0.3334842736315396, -0.0334795654233959, -0.14553581567274199, -0.16392524362438254, -0.04563376096387704, -0.04571398326920138, 0.006975606746143765, -0.21925317444579884, 0.09441579054627154, 0.006354773975908756, 0.049393049591324394, 0.04937096308502886, 0.00466613351729595, 0.10291441815594832, 0.016717400888188017, -0.0740966156952911, -0.05942950627456109, 0.1398771203433474, -0.17127524070027803, -0.2531935825943947, 0.42459118366241455, -0.05475021130922768, -0.15266988592015374, 0.11872081210215886, -0.1973760202113125, -0.0759086147778564, 0.0366419551273187, 0.08437788213292757, 0.10047944704484608, -0.12059248911423816, 0.041835246575323656, -0.056974606226301856, 0.10032121583095027, 0.15877927446013523, 0.18166154322550734, 0.28590402118861674, 0.17409663738475906, 0.03632065093972617, 0.20213960111448412, -0.11508151458369362, -0.09162892515046729, -0.3668319897001816, -0.23405603771097958, -0.1933436430318074, 0.08118733685049746, -0.08601144277975739, -0.13983348021801148, 0.4018414763112863, 0.12034599319029238, 0.14522181428554987, -0.036307733309351733, 0.301662053892182, 0.10080716283991933, 0.065525474316544, -0.03387045670921604, 0.2292535162427359, 0.1854000104798211, 0.06884931391105056, -0.2604207125181953, -0.026484602399998242, 0.016911223675641747] |
710.0826 | Next-to-leading order QCD effects in associated charged Higgs and W
boson production in the MSSM at the CERN Large Hadron Collider | We present the calculations of the next-to-leading order (NLO) QCD
corrections to the inclusive total cross sections for the associated production
of the $W^{\pm}H^{\mp}$ through $b\bar{b}$ annihilation in the Minimal
Supersymmetric Standard Model at the CERN Large Hadron Collider. The NLO QCD
corrections can either enhance or reduce the total cross sections, but they
generally efficiently reduce the dependence of the total cross sections on the
renormalization/factorization scale. The magnitude of the NLO QCD corrections
is about 10% in most of the parameter space and can reach 15% in some parameter
regions. We also show the Monte Carlo simulation results for the
$2j+\tau_{jet}+\not{p}_{T}$ signature from the $W^{\pm}$ and the $H^{\mp}$
decays including the NLO QCD effects, and find an observable signal at a
$5\sigma$ level in some parameter region of the minimal supergravity model.
| hep-ph | we present the calculations of the nexttoleading order nlo qcd corrections to the inclusive total cross sections for the associated production of the wpmhmp through bbarb annihilation in the minimal supersymmetric standard model at the cern large hadron collider the nlo qcd corrections can either enhance or reduce the total cross sections but they generally efficiently reduce the dependence of the total cross sections on the renormalizationfactorization scale the magnitude of the nlo qcd corrections is about 10 in most of the parameter space and can reach 15 in some parameter regions we also show the monte carlo simulation results for the 2jtau_jetnotp_t signature from the wpm and the hmp decays including the nlo qcd effects and find an observable signal at a 5sigma level in some parameter region of the minimal supergravity model | [['we', 'present', 'the', 'calculations', 'of', 'the', 'nexttoleading', 'order', 'nlo', 'qcd', 'corrections', 'to', 'the', 'inclusive', 'total', 'cross', 'sections', 'for', 'the', 'associated', 'production', 'of', 'the', 'wpmhmp', 'through', 'bbarb', 'annihilation', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'the', 'nlo', 'qcd', 'corrections', 'can', 'either', 'enhance', 'or', 'reduce', 'the', 'total', 'cross', 'sections', 'but', 'they', 'generally', 'efficiently', 'reduce', 'the', 'dependence', 'of', 'the', 'total', 'cross', 'sections', 'on', 'the', 'renormalizationfactorization', 'scale', 'the', 'magnitude', 'of', 'the', 'nlo', 'qcd', 'corrections', 'is', 'about', '10', 'in', 'most', 'of', 'the', 'parameter', 'space', 'and', 'can', 'reach', '15', 'in', 'some', 'parameter', 'regions', 'we', 'also', 'show', 'the', 'monte', 'carlo', 'simulation', 'results', 'for', 'the', '2jtau_jetnotp_t', 'signature', 'from', 'the', 'wpm', 'and', 'the', 'hmp', 'decays', 'including', 'the', 'nlo', 'qcd', 'effects', 'and', 'find', 'an', 'observable', 'signal', 'at', 'a', '5sigma', 'level', 'in', 'some', 'parameter', 'region', 'of', 'the', 'minimal', 'supergravity', 'model']] | [-0.03147126302461733, 0.1710272247023981, -0.07814357460786898, 0.15321760623677014, -0.011302328970156272, -0.022583372889185382, 0.020741576006967632, 0.30628529463711224, -0.19315078118410328, -0.28190168164049584, 0.03126287696861916, -0.3919094872350494, 0.022584718191699885, 0.14337015647271817, 0.09156791397849288, 0.12102484443510714, 0.08570312237486977, 0.017803745651194317, -0.08722606070329096, -0.27060440027553617, 0.28756811077508965, 0.09822826551019469, 0.1850316660640987, 0.18441021812472944, 0.05711862178180705, 0.014008536546801528, -0.07462702308222299, -0.045574903872903, -0.14931638540954076, 0.05313355491097988, 0.24554479428369438, 0.0313722456657243, 0.12314218678158906, -0.3741013368337669, -0.1058283802104239, 0.157869497240013, 0.15300967513978708, 0.13642139990362478, 0.011913571174249448, -0.27383224689401686, 0.11885956789465678, -0.24969923989423973, -0.08751618064089792, -0.06963795564617171, -0.050613691515261024, -0.08052562041716142, -0.30501752673775295, 0.060215272839934296, -0.08836267611971407, -0.004205875942330529, 0.02679360091199421, -0.18423770814534332, -0.1022526568126385, 0.027746318051041188, 0.08749266419203416, 0.059176636747989425, 0.18539279827029642, -0.2315322853286158, -0.2069488740737804, 0.4108471460217102, -0.06544122861955795, -0.17428696875911998, 0.10054121040174681, -0.22977010402687345, -0.14924552507352817, 0.21680315838646935, 0.25365105177854386, 0.11899451775631557, -0.1368997904337999, 0.17550862718340024, 0.06405405856838281, 0.1893605476273506, 0.03103198811313081, 0.04740631819533354, 0.1486345371160882, 0.18236373280259696, 0.006843219546047321, 0.04583849855539897, -0.13815097039553098, -0.11797461720098826, -0.4810795478917884, -0.12697114845893034, -0.04178622750932294, 0.03093575991806574, -0.14810956097668773, -0.1118469223041426, 0.35632856835427723, 0.17821506713869784, 0.2798535680878117, 0.05704052779456657, 0.34762723425625486, 0.14460739211503867, 0.12234438050500378, 0.05269945434955651, 0.33688177178114664, 0.12419421867834347, 0.0833580139777482, -0.2615492682653536, 0.03649619867174999, 0.07300404755567963] |
710.0827 | Multiple protostellar systems. II. A high resolution near-infrared
imaging survey in nearby star-forming regions | (abridged) Our project endeavors to obtain a robust view of multiplicity
among embedded Class I and Flat Spectrum protostars in a wide array of nearby
molecular clouds to disentangle ``universal'' from cloud-dependent processes.
We have used near-infrared adaptive optics observations at the VLT through the
H, Ks and L' filters to search for tight companions to 45 Class I and Flat
Spectrum protostars located in 4 different molecular clouds (Taurus-Auriga,
Ophiuchus, Serpens and L1641 in Orion). We complemented these observations with
published high-resolution surveys of 13 additional objects in Taurus and
Ophiuchus. We found multiplicity rates of 32+/-6% and 47+/-8% over the 45-1400
AU and 14-1400 AU separation ranges, respectively. These rates are in excellent
agreement with those previously found among T Tauri stars in Taurus and
Ophiuchus, and represent an excess of a factor ~1.7 over the multiplicity rate
of solar-type field stars. We found no non-hierarchical triple systems, nor any
quadruple or higher-order systems. No significant cloud-to-cloud difference has
been found, except for the fact that all companions to low-mass Orion
protostars are found within 100 AU of their primaries whereas companions found
in other clouds span the whole range probed here. Based on this survey, we
conclude that core fragmentation always yields a high initial multiplicity
rate, even in giant molecular clouds such as the Orion cloud or in clustered
stellar populations as in Serpens, in contrast with predictions of numerical
simulations. The lower multiplicity rate observed in clustered Class II and
Class III populations can be accounted for by a universal set of properties for
young systems and subsequent ejections through close encounters with unrelated
cluster members.
| astro-ph | abridged our project endeavors to obtain a robust view of multiplicity among embedded class i and flat spectrum protostars in a wide array of nearby molecular clouds to disentangle universal from clouddependent processes we have used nearinfrared adaptive optics observations at the vlt through the h ks and l filters to search for tight companions to 45 class i and flat spectrum protostars located in 4 different molecular clouds taurusauriga ophiuchus serpens and l1641 in orion we complemented these observations with published highresolution surveys of 13 additional objects in taurus and ophiuchus we found multiplicity rates of 326 and 478 over the 451400 au and 141400 au separation ranges respectively these rates are in excellent agreement with those previously found among t tauri stars in taurus and ophiuchus and represent an excess of a factor 17 over the multiplicity rate of solartype field stars we found no nonhierarchical triple systems nor any quadruple or higherorder systems no significant cloudtocloud difference has been found except for the fact that all companions to lowmass orion protostars are found within 100 au of their primaries whereas companions found in other clouds span the whole range probed here based on this survey we conclude that core fragmentation always yields a high initial multiplicity rate even in giant molecular clouds such as the orion cloud or in clustered stellar populations as in serpens in contrast with predictions of numerical simulations the lower multiplicity rate observed in clustered class ii and class iii populations can be accounted for by a universal set of properties for young systems and subsequent ejections through close encounters with unrelated cluster members | [['abridged', 'our', 'project', 'endeavors', 'to', 'obtain', 'a', 'robust', 'view', 'of', 'multiplicity', 'among', 'embedded', 'class', 'i', 'and', 'flat', 'spectrum', 'protostars', 'in', 'a', 'wide', 'array', 'of', 'nearby', 'molecular', 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710.0828 | Miraculous Cancellation and Pick's Theorem | We show that the Cappell-Shaneson version of Pick's theorem for simple
lattice polytopes is a consequence of a general relation between characteristic
numbers of virtual submanifolds dual to the characteristic classes of a stably
almost complex manifold. This relation is analogous to the miraculous
cancellation formula of Alvarez-Gaume and Witten, and is imposed by the action
of the Landweber-Novikov algebra in the complex cobordism ring of a point.
| math.GT math.AG | we show that the cappellshaneson version of picks theorem for simple lattice polytopes is a consequence of a general relation between characteristic numbers of virtual submanifolds dual to the characteristic classes of a stably almost complex manifold this relation is analogous to the miraculous cancellation formula of alvarezgaume and witten and is imposed by the action of the landwebernovikov algebra in the complex cobordism ring of a point | [['we', 'show', 'that', 'the', 'cappellshaneson', 'version', 'of', 'picks', 'theorem', 'for', 'simple', 'lattice', 'polytopes', 'is', 'a', 'consequence', 'of', 'a', 'general', 'relation', 'between', 'characteristic', 'numbers', 'of', 'virtual', 'submanifolds', 'dual', 'to', 'the', 'characteristic', 'classes', 'of', 'a', 'stably', 'almost', 'complex', 'manifold', 'this', 'relation', 'is', 'analogous', 'to', 'the', 'miraculous', 'cancellation', 'formula', 'of', 'alvarezgaume', 'and', 'witten', 'and', 'is', 'imposed', 'by', 'the', 'action', 'of', 'the', 'landwebernovikov', 'algebra', 'in', 'the', 'complex', 'cobordism', 'ring', 'of', 'a', 'point']] | [-0.22576963587883203, 0.08396470128996845, -0.13407121587079018, 0.10793643350617084, -0.10118521082981982, -0.1174866986762294, 0.024072338306509396, 0.3047436109935755, -0.30561385407824726, -0.23262683652779637, 0.07599529988467968, -0.2064291499555111, -0.22610374693484867, 0.19583390510695822, -0.15293548603350407, -0.05020506246707074, 0.026614749081679347, 0.0814138198244002, -0.10238250202211716, -0.2208955821047044, 0.41346533974523053, -0.010014765651088537, 0.24320661723065903, 0.08094329113031135, 0.12661859382163076, 0.022317976307343033, 0.010330201359465718, 0.02933834277877502, -0.10030924940110708, 0.13746524341952274, 0.2190925530021024, 0.07687196099911542, 0.1470824730144266, -0.3528196143520558, -0.10791803400634843, 0.1501469522550264, 0.0881225591087166, 0.04220660304760232, -0.004375024982865024, -0.23990621751941302, 0.1286165742066634, -0.1514498475829468, -0.17631589703652187, -0.05591428709928604, 0.058274515671655536, -0.025308202404309723, -0.2503149075269261, 0.021988945725538275, 0.12396739058963516, 0.12352892647237133, -0.05145684298237457, -0.03161502058227437, -0.03677542181685567, 0.0946616972796619, 0.02138460398418829, 0.05268940536360092, 0.07693101108923335, -0.10707077708245967, -0.13710756789591602, 0.38940017615609307, -0.04076428301906323, -0.21539580375503967, 0.14441548895967357, -0.13930323631639646, -0.14928868530756412, 0.13067222508492277, 0.06511825492249473, 0.1415126920431195, -0.07356275477008346, 0.14841509187724167, -0.13807212310733602, 0.05482312659125241, 0.10729434328865917, -0.02715592106431038, 0.16471527168965516, 0.08012119419051006, 0.07902979634245104, 0.17348277440075488, 0.001774388803716968, -0.09825858390232657, -0.35738656450720396, -0.23742901333881652, -0.15778303828590332, 0.16381587481180973, -0.11743686726849238, -0.16486542454153738, 0.3840718947022277, 0.03739421643309898, 0.20691904435892972, 0.1060814990196377, 0.2521667729186661, 0.09811354512074853, 0.09994558498318143, 0.04485396451234598, 0.15355091313968466, 0.24050869278075612, 0.012779285486805533, -0.1544723561143174, -0.07027485266136115, 0.2295941829078776] |
710.0829 | Computing the Conditioning of the Components of a Linear Least Squares
Solution | In this paper, we address the accuracy of the results for the overdetermined
full rank linear least squares problem. We recall theoretical results obtained
in Arioli, Baboulin and Gratton, SIMAX 29(2):413--433, 2007, on conditioning of
the least squares solution and the components of the solution when the matrix
perturbations are measured in Frobenius or spectral norms. Then we define
computable estimates for these condition numbers and we interpret them in terms
of statistical quantities. In particular, we show that, in the classical linear
statistical model, the ratio of the variance of one component of the solution
by the variance of the right-hand side is exactly the condition number of this
solution component when perturbations on the right-hand side are considered. We
also provide fragment codes using LAPACK routines to compute the
variance-covariance matrix and the least squares conditioning and we give the
corresponding computational cost. Finally we present a small historical
numerical example that was used by Laplace in Theorie Analytique des
Probabilites, 1820, for computing the mass of Jupiter and experiments from the
space industry with real physical data.
| math.NA math.ST stat.TH | in this paper we address the accuracy of the results for the overdetermined full rank linear least squares problem we recall theoretical results obtained in arioli baboulin and gratton simax 292413433 2007 on conditioning of the least squares solution and the components of the solution when the matrix perturbations are measured in frobenius or spectral norms then we define computable estimates for these condition numbers and we interpret them in terms of statistical quantities in particular we show that in the classical linear statistical model the ratio of the variance of one component of the solution by the variance of the righthand side is exactly the condition number of this solution component when perturbations on the righthand side are considered we also provide fragment codes using lapack routines to compute the variancecovariance matrix and the least squares conditioning and we give the corresponding computational cost finally we present a small historical numerical example that was used by laplace in theorie analytique des probabilites 1820 for computing the mass of jupiter and experiments from the space industry with real physical data | [['in', 'this', 'paper', 'we', 'address', 'the', 'accuracy', 'of', 'the', 'results', 'for', 'the', 'overdetermined', 'full', 'rank', 'linear', 'least', 'squares', 'problem', 'we', 'recall', 'theoretical', 'results', 'obtained', 'in', 'arioli', 'baboulin', 'and', 'gratton', 'simax', '292413433', '2007', 'on', 'conditioning', 'of', 'the', 'least', 'squares', 'solution', 'and', 'the', 'components', 'of', 'the', 'solution', 'when', 'the', 'matrix', 'perturbations', 'are', 'measured', 'in', 'frobenius', 'or', 'spectral', 'norms', 'then', 'we', 'define', 'computable', 'estimates', 'for', 'these', 'condition', 'numbers', 'and', 'we', 'interpret', 'them', 'in', 'terms', 'of', 'statistical', 'quantities', 'in', 'particular', 'we', 'show', 'that', 'in', 'the', 'classical', 'linear', 'statistical', 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-0.20865795570055276, 0.04713702819373628, 0.12296809532298622] |
710.083 | Radiative corrections to DVCS electron tensor | Radiative corrections in leading logarithmic approximation are calculated for
the differential cross section of $e^- \mu ^+$ radiative scattering. In
particular the interference term due to photon emission from electron and muon
blocks are calculated in helicity independent and dependent parts. The
calculation is applied to the kinematical conditions of existing DVCS data in
electron-proton collisions. Both helicity odd and helicity even differential
cross sections are considered.
| hep-ph | radiative corrections in leading logarithmic approximation are calculated for the differential cross section of e mu radiative scattering in particular the interference term due to photon emission from electron and muon blocks are calculated in helicity independent and dependent parts the calculation is applied to the kinematical conditions of existing dvcs data in electronproton collisions both helicity odd and helicity even differential cross sections are considered | [['radiative', 'corrections', 'in', 'leading', 'logarithmic', 'approximation', 'are', 'calculated', 'for', 'the', 'differential', 'cross', 'section', 'of', 'e', 'mu', 'radiative', 'scattering', 'in', 'particular', 'the', 'interference', 'term', 'due', 'to', 'photon', 'emission', 'from', 'electron', 'and', 'muon', 'blocks', 'are', 'calculated', 'in', 'helicity', 'independent', 'and', 'dependent', 'parts', 'the', 'calculation', 'is', 'applied', 'to', 'the', 'kinematical', 'conditions', 'of', 'existing', 'dvcs', 'data', 'in', 'electronproton', 'collisions', 'both', 'helicity', 'odd', 'and', 'helicity', 'even', 'differential', 'cross', 'sections', 'are', 'considered']] | [-0.10745474515186454, 0.17469003488958784, -0.04265882805780028, 0.19100954465631564, -0.006942307008571472, -0.0852684196028294, -0.044210041941506927, 0.3454411765560508, -0.20453319386720206, -0.2758768509621873, -0.05438571814165422, -0.34984104487706313, 0.024599823254075916, 0.17719329296695915, 0.08029564430542065, 0.12171291926819267, 0.059884142370499445, -0.01635935983027924, -0.004252610527063635, -0.1943399673257249, 0.3572703827398293, 0.05969781876598118, 0.2550725082471741, 0.17137702602441562, 0.05554871892761157, 0.06183390491500949, -0.14847118049069788, -0.04193839715850173, -0.10266275706729203, 0.028548808003313643, 0.3059415514722015, -0.017208488089333212, 0.03532213661255258, -0.4712793667462062, -0.08589189613915303, 0.05492556274332332, 0.16032601858376327, 0.07732524737631055, 0.0065943810693693886, -0.2016719731812676, 0.009428074724520698, -0.1849511621068373, -0.07351315402510492, -0.0932361690087639, 0.07489595325155692, -0.03807654830090927, -0.36910230100549984, 0.08045679240515738, -0.01800528540678153, 0.0006658511772526033, -0.06443846459980264, -0.1928137984465469, -0.07885011684883272, 0.03570834570476136, 0.11751017920235454, 0.03333410639739172, 0.19652079683587406, -0.1451494890127585, -0.14886117799941337, 0.3808639720082283, -0.07049746467082789, -0.23460750693144897, 0.06355156930107059, -0.2574344874133892, -0.06958713544052884, 0.24711490816535484, 0.22347859354957825, 0.10463554009523553, -0.1703799021656089, 0.13989917202729196, 0.05494226194665922, 0.082003052311131, 0.128314192865439, 0.056867069395428356, 0.10599609194887859, 0.09659281412181868, -0.0407637016226848, 0.035715338943356816, -0.16127425480887972, -0.1232361967929385, -0.4009369767101651, -0.11068016900257631, -0.06811493400935874, 0.09232502965482348, -0.04826406768993228, -0.10444114908971118, 0.2833971725635682, 0.06073077279848583, 0.2299625968955683, -0.011215021128230022, 0.40026824170667114, 0.21226716428910467, 0.10989898577981601, 0.059482411623431486, 0.3082498735113239, 0.2534391143020581, 0.14589606998770527, -0.2748972225694381, 0.06783713983851626, 0.029957773940016825] |
710.0831 | Topological phase transition in complex networks | Preferential attachment is a central paradigm in the theory of complex
networks. In this contribution we consider various generalizations of
preferential attachment including for example node removal and edge rewiring.
We demonstrate that generalized preferential attachment networks can undergo a
topological phase transition. This transition separates networks having a
power-law tail degree distribution from those with an exponential tail. The
appearance of the phase transition is closely related to the breakdown of the
continuous variable description of the network dynamics.
| cond-mat.stat-mech | preferential attachment is a central paradigm in the theory of complex networks in this contribution we consider various generalizations of preferential attachment including for example node removal and edge rewiring we demonstrate that generalized preferential attachment networks can undergo a topological phase transition this transition separates networks having a powerlaw tail degree distribution from those with an exponential tail the appearance of the phase transition is closely related to the breakdown of the continuous variable description of the network dynamics | [['preferential', 'attachment', 'is', 'a', 'central', 'paradigm', 'in', 'the', 'theory', 'of', 'complex', 'networks', 'in', 'this', 'contribution', 'we', 'consider', 'various', 'generalizations', 'of', 'preferential', 'attachment', 'including', 'for', 'example', 'node', 'removal', 'and', 'edge', 'rewiring', 'we', 'demonstrate', 'that', 'generalized', 'preferential', 'attachment', 'networks', 'can', 'undergo', 'a', 'topological', 'phase', 'transition', 'this', 'transition', 'separates', 'networks', 'having', 'a', 'powerlaw', 'tail', 'degree', 'distribution', 'from', 'those', 'with', 'an', 'exponential', 'tail', 'the', 'appearance', 'of', 'the', 'phase', 'transition', 'is', 'closely', 'related', 'to', 'the', 'breakdown', 'of', 'the', 'continuous', 'variable', 'description', 'of', 'the', 'network', 'dynamics']] | [-0.14673967179260217, 0.16118483405607548, -0.083876044209552, 0.05528379154857248, -0.048117410796112384, -0.15405815970734693, 0.05688947267335607, 0.3806938261259347, -0.2999148972507101, -0.2520415846258402, 0.004294501125696115, -0.3021255998522975, -0.24444393627345562, 0.03199926584493369, -0.028887992806266992, 0.0024556004093028603, -0.027165998669806866, 0.027443516743369402, 0.0025528232246870173, -0.13232615599845304, 0.34477931633009573, 0.054414941782306415, 0.34282187041826545, 0.052501528605353086, 0.027181769281742162, 0.0079717232612893, 0.02666767929040361, 0.022457629958807956, -0.130642840863311, 0.10333268619142473, 0.1715307550621219, 0.08016290367686452, 0.23529418943217023, -0.41481112347973975, -0.2951825800235383, 0.12904410013288725, 0.13183870843204204, 0.1279948628085549, -0.06129865482216701, -0.24631649855873547, 0.031938381274812855, -0.22137115721579903, -0.15182383699575439, -0.025695883424486966, 0.014214291458483786, 0.07729480371344835, -0.25923895274754616, 0.1061799741582945, 0.1329555188480299, 0.028314962470903992, -0.009541513136355206, -0.04680410114815459, -0.041926884518761656, 0.11543286477099172, -0.004141603242896963, 0.02463480393635109, 0.1478231598972343, -0.17072478628251703, -0.1857470638351515, 0.3777861140901223, -0.0473477887455374, -0.12091804487863556, 0.21400110304821282, -0.13875297440681605, -0.1946639023197349, 0.17824464175500906, 0.18305837299558333, 0.09238570539673674, -0.10751431194366887, 0.012630481225642143, 0.01127848078031093, 0.08955201787175611, 0.05958376103080809, -0.014842148165917024, 0.1984752733609639, 0.20751602319069207, 0.09220382131170482, 0.21300534983165562, -0.08949856511317193, -0.20174890834605322, -0.26064198346575723, -0.09723274044808931, -0.21611818246310577, 0.05855200318619609, -0.16717605679277767, -0.2209374645492062, 0.4528902965830639, 0.1017341255035717, 0.2868768645450473, 0.08207483555888757, 0.20362567422562278, 0.13036115004724708, 0.04374915010412224, 0.03479956042601771, 0.16766524034319447, 0.13692808625637554, 0.07705915889819152, -0.16227325549989474, 0.17908287282916718, 0.06656324580544606] |
710.0832 | Isotopic liftings of Clifford algebras and applications in elementary
particle mass matrices | Isotopic liftings of algebraic structures are investigated in the context of
Clifford algebras, where it is defined a new product involving an arbitrary,
but fixed, element of the Clifford algebra. This element acts as the unit with
respect to the introduced product, and is called isounit. We construct
isotopies in both associative and non-associative arbitrary algebras, and
examples of these constructions are exhibited using Clifford algebras, which
although associative, can generate the octonionic, non-associative, algebra.
The whole formalism is developed in a Clifford algebraic arena, giving also the
necessary pre-requisites to introduce isotopies of the exterior algebra. The
flavor hadronic symmetry of the six u,d,s,c,b,t quarks is shown to be exact,
when the generators of the isotopic Lie algebra su(6) are constructed, and the
unit of the isotopic Clifford algebra is shown to be a function of the six
quark masses. The limits constraining the parameters, that are entries of the
representation of the isounit in the isotopic group SU(6), are based on the
most recent limits imposed on quark masses.
| math-ph hep-th math.MP | isotopic liftings of algebraic structures are investigated in the context of clifford algebras where it is defined a new product involving an arbitrary but fixed element of the clifford algebra this element acts as the unit with respect to the introduced product and is called isounit we construct isotopies in both associative and nonassociative arbitrary algebras and examples of these constructions are exhibited using clifford algebras which although associative can generate the octonionic nonassociative algebra the whole formalism is developed in a clifford algebraic arena giving also the necessary prerequisites to introduce isotopies of the exterior algebra the flavor hadronic symmetry of the six udscbt quarks is shown to be exact when the generators of the isotopic lie algebra su6 are constructed and the unit of the isotopic clifford algebra is shown to be a function of the six quark masses the limits constraining the parameters that are entries of the representation of the isounit in the isotopic group su6 are based on the most recent limits imposed on quark masses | [['isotopic', 'liftings', 'of', 'algebraic', 'structures', 'are', 'investigated', 'in', 'the', 'context', 'of', 'clifford', 'algebras', 'where', 'it', 'is', 'defined', 'a', 'new', 'product', 'involving', 'an', 'arbitrary', 'but', 'fixed', 'element', 'of', 'the', 'clifford', 'algebra', 'this', 'element', 'acts', 'as', 'the', 'unit', 'with', 'respect', 'to', 'the', 'introduced', 'product', 'and', 'is', 'called', 'isounit', 'we', 'construct', 'isotopies', 'in', 'both', 'associative', 'and', 'nonassociative', 'arbitrary', 'algebras', 'and', 'examples', 'of', 'these', 'constructions', 'are', 'exhibited', 'using', 'clifford', 'algebras', 'which', 'although', 'associative', 'can', 'generate', 'the', 'octonionic', 'nonassociative', 'algebra', 'the', 'whole', 'formalism', 'is', 'developed', 'in', 'a', 'clifford', 'algebraic', 'arena', 'giving', 'also', 'the', 'necessary', 'prerequisites', 'to', 'introduce', 'isotopies', 'of', 'the', 'exterior', 'algebra', 'the', 'flavor', 'hadronic', 'symmetry', 'of', 'the', 'six', 'udscbt', 'quarks', 'is', 'shown', 'to', 'be', 'exact', 'when', 'the', 'generators', 'of', 'the', 'isotopic', 'lie', 'algebra', 'su6', 'are', 'constructed', 'and', 'the', 'unit', 'of', 'the', 'isotopic', 'clifford', 'algebra', 'is', 'shown', 'to', 'be', 'a', 'function', 'of', 'the', 'six', 'quark', 'masses', 'the', 'limits', 'constraining', 'the', 'parameters', 'that', 'are', 'entries', 'of', 'the', 'representation', 'of', 'the', 'isounit', 'in', 'the', 'isotopic', 'group', 'su6', 'are', 'based', 'on', 'the', 'most', 'recent', 'limits', 'imposed', 'on', 'quark', 'masses']] | [-0.135240942888361, 0.14749697673800083, -0.035077365227542553, 0.07369972001816634, -0.10725489642243788, -0.11213590959475066, -0.03708452498817462, 0.3577948630610037, -0.2913477323773328, -0.23858350517964158, 0.12688522462433735, -0.22334601355916156, -0.10975092205418539, 0.1786430275311605, -0.09906918495627386, -0.0019594672007120346, 0.01866148136711369, 0.12648537426173875, -0.17520376223200446, -0.2665860276278441, 0.39243003490403117, 0.01887026383857509, 0.20067244188283526, 0.03578450405205201, 0.11474386673320883, -0.037184684354412766, -0.05517881741702911, -0.044786935550205055, -0.08304567210303676, 0.1353085746412121, 0.2535836189532087, 0.07937144980505331, 0.09580544387877342, -0.410058240395128, -0.10399431079193684, 0.1396126134772896, 0.15287371842645198, 0.045843028780100645, -0.03455523516943989, -0.2739062767498018, 0.06707045716133767, -0.2353264208092393, -0.12104848355548234, -0.09313367223477967, 0.042599231841796564, -0.02971632107905212, -0.27388822381007705, -0.016132258711877512, 0.057687451307650746, 0.12354764383191996, -0.07849398936100659, -0.12382393736541937, -0.09858798815791185, 0.09743792365441636, -0.025030485987718704, 0.015075259404035197, 0.16129360646577662, -0.03564335439053442, -0.16189351924584203, 0.4126254958821283, 0.03464921656718832, -0.2739927678125068, 0.11829659847232203, -0.16889560316381644, -0.1942770821402692, 0.060342770452345054, 0.08649993224978625, 0.09689660274168654, -0.12164216747112819, 0.2110244475618293, -0.09743176819756627, 0.07619778913379248, 0.06531175178021104, 0.02528052180007632, 0.15853146923195927, 0.13045377340278633, 0.0161999270757882, 0.10986057114704247, 0.026832956000275555, -0.09783726704439946, -0.35215229186273755, -0.18854432987031292, -0.09918797343769777, 0.0976921820381124, -0.1137907971469325, -0.17836575171670466, 0.4283606255748531, 0.09453066175947675, 0.17757309134772403, 0.04329028655289827, 0.23262542947001444, 0.11114027914300095, 0.17658549467367785, 0.059786320284252896, 0.18755476563126736, 0.281883622853673, 0.007395262633162062, -0.15672214529054362, -0.032763183222933936, 0.17450461488139504] |
710.0833 | Perturbative QCD in the Regge limit: Prospects at ILC | After recalling the theoretical and experimental status of QCD in the Regge
limit and the requirement of high energy scattering process of onium-onium type
for testing this limit, we show that the International Linear Collider would be
a major step in this field.
| hep-ph | after recalling the theoretical and experimental status of qcd in the regge limit and the requirement of high energy scattering process of oniumonium type for testing this limit we show that the international linear collider would be a major step in this field | [['after', 'recalling', 'the', 'theoretical', 'and', 'experimental', 'status', 'of', 'qcd', 'in', 'the', 'regge', 'limit', 'and', 'the', 'requirement', 'of', 'high', 'energy', 'scattering', 'process', 'of', 'oniumonium', 'type', 'for', 'testing', 'this', 'limit', 'we', 'show', 'that', 'the', 'international', 'linear', 'collider', 'would', 'be', 'a', 'major', 'step', 'in', 'this', 'field']] | [-0.08540761412032657, 0.14827480045191588, -0.1234785512067555, 0.05226914544883108, -0.03862049894052602, -0.06687833290059297, 0.07989396137141046, 0.3166556983653988, -0.2555696253797838, -0.26178793063653366, 0.12784834889628524, -0.26810249496650485, -0.07650872257294222, 0.1596084606079828, -0.017575292936747984, 0.12126255565367285, 0.11594311019317025, 0.0234976560986113, -0.0366226882352272, -0.2330025297013067, 0.30367991221802576, 0.12794993783436007, 0.277706370955067, 0.12994405250286772, 0.09367074351757765, 0.08368559521512084, -0.03822243750549942, 0.0014699524978087062, -0.07128633539434218, 0.09954339086765512, 0.2894581333828336, 0.10647138800205928, 0.22930773214570113, -0.44936850223512875, -0.15862859399723156, 0.09138930480306347, 0.12307333376901668, 0.13898971774393604, -0.06104106345169601, -0.23231144670751833, 0.08613186271949894, -0.1726031667730283, -0.1763227420105111, -0.016284532944804857, 0.019927047317781086, -0.020103020283083122, -0.261862903193105, 0.05729871642376695, 0.06237562085014014, 0.04947317506940592, -0.04310625523240084, -0.1328706479675713, 0.047870877043654524, 0.07438911421091429, 0.09383910251268562, 0.02241122926629725, 0.10256105650859397, -0.2114152786255415, -0.1528877971605176, 0.39228180946693536, -0.07037629599549941, -0.0893656377503205, 0.14413645353523039, -0.20701650540355504, -0.20600379787806777, 0.062363563593299615, 0.1946101389115765, 0.06067744797716538, -0.14408238688927322, 0.1504075788377252, 0.017757741423944633, 0.13486459904483386, 0.04541707983783757, 0.03626225475177523, 0.24852000019468723, 0.2684066105367882, 0.016482727069939886, 0.07934753709594675, -0.07717580190815386, -0.07157732714854535, -0.4550702123060113, -0.16870876716538555, -0.11300513982063248, 0.06036323736355241, -0.07202395339083437, -0.11261868523433805, 0.35996139754674267, 0.16812079062774068, 0.2085747474893218, 0.06523050171589213, 0.2842485865445009, 0.15604947520686047, 0.031095411060960032, 0.028102261048583647, 0.3406091390975884, 0.09598480025306344, 0.1375896736890787, -0.2555002920285222, -0.004563464849655118, 0.04743948102086073] |
710.0834 | Congruence of multilinear forms | It is known that if A and B are two n-by-n complex matrices and (A,A^T) is
simultaneously equivalent to (B,B^T), then A is congruent to B. We extend this
statement to multilinear forms.
| math.RT | it is known that if a and b are two nbyn complex matrices and aat is simultaneously equivalent to bbt then a is congruent to b we extend this statement to multilinear forms | [['it', 'is', 'known', 'that', 'if', 'a', 'and', 'b', 'are', 'two', 'nbyn', 'complex', 'matrices', 'and', 'aat', 'is', 'simultaneously', 'equivalent', 'to', 'bbt', 'then', 'a', 'is', 'congruent', 'to', 'b', 'we', 'extend', 'this', 'statement', 'to', 'multilinear', 'forms']] | [-0.113763834914249, 0.11591152573060809, -0.056573888174060616, 0.059565452470754586, -0.1067734629367337, -0.22422400085876384, 0.01667751498859037, 0.4041950251116897, -0.3227747675370086, -0.20994978872212497, 0.13573480599249402, -0.3145183666863225, -0.22920164985187125, 0.14552160623398694, -0.1043568965273373, 0.009791467359966853, 0.05642668008239883, 0.07460271155066563, -0.07343011808750982, -0.328550747172399, 0.3262902029761762, -0.05428314024130955, 0.14541125734985777, 0.01178053067997098, 0.08072233112585364, -0.03180549746717919, -0.006888332071177887, 0.018036060317447693, -0.0748378097189495, 0.13451351603549538, 0.2691497912235332, 0.19063968487987012, 0.20722200693280407, -0.30848354270512407, -0.07912168002715617, 0.2045402170165978, 0.10789476212283428, 0.011647785392900309, 0.059685471270120506, -0.20886842855675655, 0.20631059981656796, -0.09813949668949301, -0.08237387625161897, -0.09641406817756819, 0.1262013793810073, -0.048476952240999904, -0.411976173294313, 0.020339133810590614, 0.1265879736677038, 0.005061898182964686, -0.05556819055963195, -0.1259821987231121, 0.035742707127197224, 0.0939118792161797, -0.016859719607358176, 0.05771208531928785, 0.05827643633396788, 0.007793055769676964, -0.05109707961762042, 0.36874814963702, -0.045369853914687126, -0.2472766608451352, 0.18985837734671254, -0.17269456016859322, -0.1365923318080604, 0.1027688342005466, 0.10329827976723512, 0.09740181693412138, -0.12834609512973463, 0.11991285876667296, -0.1812117352347934, 0.18473795451449626, 0.0747305084104565, -0.07997982546856458, 0.12448301064697179, 0.058163493307250916, 0.1155644269998778, 0.1538049930523178, -0.017662589099596848, -0.005909681376634222, -0.25691415854927263, -0.21271360954834204, -0.18858668219411012, 0.10928078286462661, -0.015623193628429859, -0.12800373965309877, 0.36797420093507477, 0.11532493629916148, 0.21766384943585956, 0.08149935615559419, 0.2942696934791677, 0.08632218504719662, 0.09356336534432502, 0.08044371851296588, 0.13579558897199054, 0.23250887471349965, 0.0324182751955408, -0.0882396430172252, -0.004757665718595187, 0.08460628867826679] |
710.0835 | Empirical transverse charge densities in the nucleon and the
nucleon-to-$\Delta$ transition | Using only the current empirical information on the nucleon electromagnetic
form factors we map out the transverse charge density in proton and neutron as
viewed from a light front moving towards a transversely polarized nucleon.
These charge densities are characterized by a dipole pattern, in addition to
the monopole field corresponding with the unpolarized density. Furthermore, we
use the latest empirical information on the $N \to \Delta$ transition form
factors to map out the transition charge density which induces the $N \to
\Delta$ excitation. This transition charge density in a transversely polarized
$N$ and $\Delta$ contains both monopole, dipole and quadrupole patterns, the
latter corresponding with a deformation of the hadron's charge distribution.
| hep-ph | using only the current empirical information on the nucleon electromagnetic form factors we map out the transverse charge density in proton and neutron as viewed from a light front moving towards a transversely polarized nucleon these charge densities are characterized by a dipole pattern in addition to the monopole field corresponding with the unpolarized density furthermore we use the latest empirical information on the n to delta transition form factors to map out the transition charge density which induces the n to delta excitation this transition charge density in a transversely polarized n and delta contains both monopole dipole and quadrupole patterns the latter corresponding with a deformation of the hadrons charge distribution | [['using', 'only', 'the', 'current', 'empirical', 'information', 'on', 'the', 'nucleon', 'electromagnetic', 'form', 'factors', 'we', 'map', 'out', 'the', 'transverse', 'charge', 'density', 'in', 'proton', 'and', 'neutron', 'as', 'viewed', 'from', 'a', 'light', 'front', 'moving', 'towards', 'a', 'transversely', 'polarized', 'nucleon', 'these', 'charge', 'densities', 'are', 'characterized', 'by', 'a', 'dipole', 'pattern', 'in', 'addition', 'to', 'the', 'monopole', 'field', 'corresponding', 'with', 'the', 'unpolarized', 'density', 'furthermore', 'we', 'use', 'the', 'latest', 'empirical', 'information', 'on', 'the', 'n', 'to', 'delta', 'transition', 'form', 'factors', 'to', 'map', 'out', 'the', 'transition', 'charge', 'density', 'which', 'induces', 'the', 'n', 'to', 'delta', 'excitation', 'this', 'transition', 'charge', 'density', 'in', 'a', 'transversely', 'polarized', 'n', 'and', 'delta', 'contains', 'both', 'monopole', 'dipole', 'and', 'quadrupole', 'patterns', 'the', 'latter', 'corresponding', 'with', 'a', 'deformation', 'of', 'the', 'hadrons', 'charge', 'distribution']] | [-0.11786611624210414, 0.21127666178544718, -0.07905482989941946, 0.0682418891548105, -0.011905195570625035, -0.04412816481951179, 0.057673080715884464, 0.3810433401536625, -0.2057455573066146, -0.26129928191678714, -0.03538127937580797, -0.3405852863251899, -0.06437989801325036, 0.08329913745823819, 0.09134950393308827, 0.012814710963418526, -0.040455935269478806, 0.08043957762090506, -0.11240920593418115, -0.10093787352583346, 0.3525604608641789, 0.023167314968047154, 0.2860983222005971, 0.08597080028756002, 0.06051833580239816, 0.028632513469958727, -0.009797701966511993, 0.009514493430939923, -0.11837702760971522, 0.09566552878926153, 0.21252471184465144, 0.044108241674927086, 0.12603605896712536, -0.43446511669760257, -0.1550055837775869, 0.09010900551065869, 0.1312033011355495, 0.12384790779334551, -0.05814843229018152, -0.28760901797332067, 0.010489101356834965, -0.16337385158821016, -0.19275118631467356, -0.0961384883199909, 0.043139609962545206, 0.08137799683233014, -0.3095831062100762, 0.07716661190564654, 0.027148625079905037, 0.0010928384201452795, -0.031166756443217793, -0.18078989860296776, -0.0807717336646685, 0.07703926876615898, 0.08476391953902435, 0.15945545411194814, 0.20073899632913217, -0.1737871916871415, -0.038524090617367654, 0.31886866359056626, -0.0875584148653511, -0.20183041367877638, 0.05813017989863205, -0.24068372237982344, -0.09922614173687566, 0.20059115179212747, 0.1591837790225987, 0.09794926734031302, -0.12116831521281099, 0.04846377775281157, -0.03604011527320321, 0.19291704750117078, 0.11443637107474218, 0.023484481473873674, 0.271689089896998, 0.1502505880656891, 0.049073961176044116, 0.09482814956753127, -0.16195285275364213, -0.05913495372947866, -0.3209280402284214, -0.09896560652033154, -0.17178718828126394, 0.11442243562500297, -0.0703089925449185, -0.12409589345674071, 0.385109500823526, 0.04868229580795871, 0.23753385488108725, -0.038320557336916375, 0.31329715369368155, 0.12396667726993132, 0.05100357252280269, 0.09206983960538576, 0.21351101337849632, 0.20662894608675444, 0.13233696533350553, -0.2686366999328169, -0.02412103462667592, 0.038326289471799294] |
710.0836 | Giant Magnetoresistance in Nanogranular Magnets | We study the giant magnetoresistance of nanogranular magnets in the presence
of an external magnetic field and finite temperature. We show that the
magnetization of arrays of nanogranular magnets has hysteretic behaviour at low
temperatures leading to a double peak in the magnetoresistance which coalesces
at high temperatures into a single peak. We numerically calculate the
magnetization of magnetic domains and the motion of domain walls in this system
using a combined mean-field approach and a model for an elastic membrane moving
in a random medium, respectively. From the obtained results, we calculate the
electric resistivity as a function of magnetic field and temperature. Our
findings show excellent agreement with various experimental data.
| cond-mat.str-el cond-mat.dis-nn | we study the giant magnetoresistance of nanogranular magnets in the presence of an external magnetic field and finite temperature we show that the magnetization of arrays of nanogranular magnets has hysteretic behaviour at low temperatures leading to a double peak in the magnetoresistance which coalesces at high temperatures into a single peak we numerically calculate the magnetization of magnetic domains and the motion of domain walls in this system using a combined meanfield approach and a model for an elastic membrane moving in a random medium respectively from the obtained results we calculate the electric resistivity as a function of magnetic field and temperature our findings show excellent agreement with various experimental data | [['we', 'study', 'the', 'giant', 'magnetoresistance', 'of', 'nanogranular', 'magnets', 'in', 'the', 'presence', 'of', 'an', 'external', 'magnetic', 'field', 'and', 'finite', 'temperature', 'we', 'show', 'that', 'the', 'magnetization', 'of', 'arrays', 'of', 'nanogranular', 'magnets', 'has', 'hysteretic', 'behaviour', 'at', 'low', 'temperatures', 'leading', 'to', 'a', 'double', 'peak', 'in', 'the', 'magnetoresistance', 'which', 'coalesces', 'at', 'high', 'temperatures', 'into', 'a', 'single', 'peak', 'we', 'numerically', 'calculate', 'the', 'magnetization', 'of', 'magnetic', 'domains', 'and', 'the', 'motion', 'of', 'domain', 'walls', 'in', 'this', 'system', 'using', 'a', 'combined', 'meanfield', 'approach', 'and', 'a', 'model', 'for', 'an', 'elastic', 'membrane', 'moving', 'in', 'a', 'random', 'medium', 'respectively', 'from', 'the', 'obtained', 'results', 'we', 'calculate', 'the', 'electric', 'resistivity', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'and', 'temperature', 'our', 'findings', 'show', 'excellent', 'agreement', 'with', 'various', 'experimental', 'data']] | [-0.16974124735616872, 0.147158868599784, -0.06454217068818027, -0.016993418114416434, -0.01625994120856368, -0.08536494262021992, 0.05298927265700505, 0.4035562574863434, -0.23341112471787276, -0.31164650724524945, 0.039241161306627685, -0.29065983142473, -0.10307738236852187, 0.23069766173098005, 0.04082913179181318, -0.005964530688047046, -0.015898208857093633, 0.024616105722024443, -0.06593804389230115, -0.1661901455537408, 0.2574694863710124, 0.017021226325789385, 0.32459023865187064, 0.0978120124973027, 0.10419833199924633, -0.015210542883476721, 0.12329385318356541, 0.11076692241219292, -0.13458381088655824, 0.026311978912063404, 0.18487292841134542, -0.09691640010218969, 0.1836881433506455, -0.4711390564926958, -0.1948074243356993, 0.025793815872310537, 0.13035091864299522, 0.15740517401898824, -0.09497218027059813, -0.2522310300491157, 0.0758851606036182, -0.1352240653477807, -0.16713486540963693, -0.09846624129542471, -0.028904344315797224, 0.03980320343692103, -0.29534413655642916, 0.08593435903219918, 0.04253370507694451, 0.11684402539930512, -0.14033416144764133, -0.12933230305201812, -0.02037023276655185, 0.06096464824096291, 0.05867356051118072, 0.07391270949192082, 0.1710770543122796, -0.15234309721911177, -0.10902493634154048, 0.3037611453142841, -0.11190719590769603, -0.08430821181530446, 0.16302899816032268, -0.23749313889219698, -0.07563927165125456, 0.1648077065149833, 0.18539919448703263, 0.10974535516584787, -0.157993956623533, 0.055840321878575, 0.0014132807367126894, 0.14077472564789045, 0.030702491818342063, -0.005526865499294507, 0.25835700418833085, 0.21762198689434908, -0.015420717327336294, 0.20028153839273857, -0.16200941875247302, -0.026942187368012634, -0.26632986755102084, -0.14382451275915764, -0.2035871486764698, 0.04405165052420534, -0.12967278250334455, -0.21582541107900638, 0.38574009733604253, 0.17254721036230306, 0.22343906653072454, 0.00465859953351154, 0.29210703340317823, 0.11676941770417369, 0.066970775200598, 0.06141816646651884, 0.2262502915382517, 0.19983970330805575, 0.18264525421623107, -0.31063346527063546, 0.025275780638037003, -0.04329315866384886] |
710.0837 | Production of Millisecond Dips in Sco X-1 Count Rates by Dead Time
Effects | Chang et al. (2006) reported millisecond duration dips in the X-ray intensity
of Sco X-1 and attributed them to occultations of the source by small
trans-Neptunian objects (TNOs). We have found multiple lines of evidence that
these dips are not astronomical in origin, but rather the result of high-energy
charged particle events in the RXTE PCA detectors. Our analysis of the RXTE
data indicates that at most 10% of the observed dips in Sco X-1 could be due to
occultations by TNOs, and, furthermore, we find no positive or supporting
evidence for any of them being due to TNOs. We therefore believe that it is a
mistake to conclude that any TNOs have been detected via occultation of Sco
X-1.
| astro-ph | chang et al 2006 reported millisecond duration dips in the xray intensity of sco x1 and attributed them to occultations of the source by small transneptunian objects tnos we have found multiple lines of evidence that these dips are not astronomical in origin but rather the result of highenergy charged particle events in the rxte pca detectors our analysis of the rxte data indicates that at most 10 of the observed dips in sco x1 could be due to occultations by tnos and furthermore we find no positive or supporting evidence for any of them being due to tnos we therefore believe that it is a mistake to conclude that any tnos have been detected via occultation of sco x1 | [['chang', 'et', 'al', '2006', 'reported', 'millisecond', 'duration', 'dips', 'in', 'the', 'xray', 'intensity', 'of', 'sco', 'x1', 'and', 'attributed', 'them', 'to', 'occultations', 'of', 'the', 'source', 'by', 'small', 'transneptunian', 'objects', 'tnos', 'we', 'have', 'found', 'multiple', 'lines', 'of', 'evidence', 'that', 'these', 'dips', 'are', 'not', 'astronomical', 'in', 'origin', 'but', 'rather', 'the', 'result', 'of', 'highenergy', 'charged', 'particle', 'events', 'in', 'the', 'rxte', 'pca', 'detectors', 'our', 'analysis', 'of', 'the', 'rxte', 'data', 'indicates', 'that', 'at', 'most', '10', 'of', 'the', 'observed', 'dips', 'in', 'sco', 'x1', 'could', 'be', 'due', 'to', 'occultations', 'by', 'tnos', 'and', 'furthermore', 'we', 'find', 'no', 'positive', 'or', 'supporting', 'evidence', 'for', 'any', 'of', 'them', 'being', 'due', 'to', 'tnos', 'we', 'therefore', 'believe', 'that', 'it', 'is', 'a', 'mistake', 'to', 'conclude', 'that', 'any', 'tnos', 'have', 'been', 'detected', 'via', 'occultation', 'of', 'sco', 'x1']] | [-0.07327953161050876, 0.12374546607995095, -0.1129013097883823, 0.10348707224572233, -0.09986488523233371, -0.11191836376480448, 0.08316413029873122, 0.4296653127918641, -0.15775630378435987, -0.3636552991035084, 0.0807744558842387, -0.36192795624568436, -0.12943597762884262, 0.25858936231719176, -0.10626259133374939, 0.003880728475633077, 0.1476362849032739, -0.08232027293803791, 0.03266939003175746, -0.2918011289283944, 0.23329716925897326, 0.07949144140390368, 0.07395871041808277, -0.0009439582548414668, 0.04619688371991894, -0.04138731322794532, -0.07227011219025978, -0.04071511900983751, -0.0687506260672914, 0.056815823431437214, 0.27620901668754716, 0.11262449671630748, 0.17260249202760558, -0.3634824019856751, -0.22056420383936104, 0.0900926111479445, 0.13925658012546288, 0.007041479833424092, -0.004845638336458554, -0.30810095980608215, 0.09383655237422014, -0.17317033926180253, -0.16101329209050164, -0.00798484516174843, 0.15040336607732266, 0.009523750418641916, -0.1935306468512863, 0.06930058420014878, 0.10418621425439294, 0.0996053567621857, -0.16106941947946324, -0.09896802689181641, -0.0013756941286070894, 0.03708028446611327, 0.10207963393962322, 0.03107972528814571, 0.09498828366631643, -0.05130909633201857, -0.1633954309222948, 0.3306118722617005, -0.04609176572800303, 0.013445375735561054, 0.24142226933035998, -0.23529698131994034, -0.1949006348576707, 0.20052900936764975, 0.10553502938710153, 0.10773867575141291, -0.15540582563650485, 0.02377473063825164, -0.06260400263903042, 0.26258487335580866, 0.12996576243507055, 0.0850366538206193, 0.3152177010041972, 0.03458632455925302, -0.009725149732548743, 0.11766586235462455, -0.27312716057689007, -0.0024536431519663893, -0.20453353693446844, -0.09360689728831252, -0.18226668894834194, 0.07317028744643418, -0.060638741508349386, -0.1401481217937544, 0.3116800205665641, 0.1286519742726038, 0.23058382929108726, -0.036895112959124766, 0.2592821417376399, 0.0956558323019029, 0.09230337574457129, 0.1482743774734748, 0.36568412541722256, 0.0675709820643533, 0.12339380998164415, -0.2039851688508255, 0.15251481453112017, -0.021377376777430377] |
710.0838 | Studying QCD factorizations in exclusive gamma* gamma* -> rho^0_L
rho^0_L | The exclusive process e+ e- -> e+ e- rho^0_L rho^0_L allows to study various
dynamics and factorization properties of perturbative QCD. At moderate energy,
we demonstrate how collinear QCD factorization emerges, involving generalized
distribution amplitudes (GDA) and transition distribution amplitudes (TDA). At
higher energies, in the Regge limit of QCD, we show that it offers a promising
probe of the BFKL resummation effects to be studied at the International Linear
Collider (ILC).
| hep-ph | the exclusive process e e e e rho0_l rho0_l allows to study various dynamics and factorization properties of perturbative qcd at moderate energy we demonstrate how collinear qcd factorization emerges involving generalized distribution amplitudes gda and transition distribution amplitudes tda at higher energies in the regge limit of qcd we show that it offers a promising probe of the bfkl resummation effects to be studied at the international linear collider ilc | [['the', 'exclusive', 'process', 'e', 'e', 'e', 'e', 'rho0_l', 'rho0_l', 'allows', 'to', 'study', 'various', 'dynamics', 'and', 'factorization', 'properties', 'of', 'perturbative', 'qcd', 'at', 'moderate', 'energy', 'we', 'demonstrate', 'how', 'collinear', 'qcd', 'factorization', 'emerges', 'involving', 'generalized', 'distribution', 'amplitudes', 'gda', 'and', 'transition', 'distribution', 'amplitudes', 'tda', 'at', 'higher', 'energies', 'in', 'the', 'regge', 'limit', 'of', 'qcd', 'we', 'show', 'that', 'it', 'offers', 'a', 'promising', 'probe', 'of', 'the', 'bfkl', 'resummation', 'effects', 'to', 'be', 'studied', 'at', 'the', 'international', 'linear', 'collider', 'ilc']] | [-0.10323820428424318, 0.15834571665782535, -0.21927592877141186, 0.1557482112738155, -0.04871551262241014, -0.0923741817880999, 0.026620941512076786, 0.3415411777899299, -0.24007915864816645, -0.18192695666261963, -0.04725234838969953, -0.31335096288506026, -0.031237995435654278, 0.09310019437164645, 0.12749520692528343, 0.13223433558842246, 0.056411718870972245, -0.03698602739170614, -0.05425722709148598, -0.15757101500065815, 0.269770257489782, 0.09773846977213266, 0.27308739666682735, 0.1456701275433453, 0.090638358670641, 0.10768136315205147, -0.02061453023531907, -0.04761948462733081, -0.12208759926743624, 0.06008623104253915, 0.3168810169461747, 0.030920580682069272, 0.15312259773474554, -0.3576800096517717, -0.13537523074364158, 0.09167129598544832, 0.13294807584418483, 0.06452739459108299, 0.050229952578813256, -0.21827002396990716, 0.10326147168664865, -0.23751039450830766, -0.1899826368841697, -0.1878601204813786, 0.007453218148365407, -0.07696353630031603, -0.32434566122230507, 0.04555560789451423, -0.02912932604184033, -0.010360232200211202, 0.0702119019123542, -0.1991303102441237, -0.032442639239171754, 0.001276931223708769, 0.06825990994537945, 0.07324102436664554, 0.14250945192958478, -0.18189462838353407, -0.220815267676199, 0.4001469284125512, -0.05293663061210807, -0.1087858628540654, 0.1623501948697466, -0.2764918170082317, -0.20307281307390773, 0.14557502799155847, 0.21770231772056767, 0.11148639049538424, -0.13757152101812017, 0.20742414641016962, 0.055899371335637084, 0.09722492138815808, 0.12335952169353694, 0.07426826832947177, 0.18823706254389294, 0.19015417910430213, -0.013499114518119415, 0.09623353593674501, -0.08588298786641427, -0.1012901869458212, -0.4072790451964337, -0.041374603050275585, -0.09252453721325163, 0.08100580826441062, -0.10959067831798062, -0.10925386543057754, 0.3394748505572198, 0.13001830359055122, 0.2355635706204134, 0.03471122544363771, 0.285984342111091, 0.1562107525713427, 0.009099644161580446, 0.05341698185923595, 0.2692252935080881, 0.16069406785503765, 0.12384921564182765, -0.28550074939471737, -0.03231385924105703, 0.09398268379638312] |
710.0839 | Circumstellar Dust Created by Terrestrial Planet Formation in HD 113766 | We present an analysis of the gas-poor circumstellar material in the HD
113766 binary system (F3/F5, 10 - 16 Myr), recently observed by the Spitzer
Space Telescope. For our study we have used the infrared mineralogical model
derived from observations of the Deep Impact experiment. We find the dust
dominated by warm, fine (~1 um) particles, abundant in Mg-rich olivine,
crystalline pyroxenes, amorphous silicates, Fe-rich sulfides, amorphous carbon,
and colder water-ice. The warm dust material mix is akin to an inner main belt
asteroid of S-type composition. The ~440 K effective temperature of the warm
dust implies that the bulk of the observed material is in a narrow belt ~1.8 AU
from the 4.4 L_solar central source, in the terrestrial planet-forming region
and habitable zone of the system (equivalent to 0.9 AU in the solar system).
The icy dust lies in 2 belts, located at 4-9 AU and at 30 - 80 AU. The lower
bound of warm dust mass in 0.1 - 20 um, dn/da ~ a^-3.5 particles is very large,
at least 3 x 10^20 kg, equivalent to a 320 km radius asteroid of 2.5 g cm^-3
density. Assuming 10m largest particles present, the lower bound of warm dust
mass is at least 0.5 M_Mars The dust around HD 113766A originates from
catastrophic disruption of terrestrial planet embryo(s) and subsequent grinding
of the fragments, or from collisions in a young, extremely dense asteroid belt
undergoing aggregation. The persistence of the strong IR excess over the last
two decades argues for a mechanism to provide replenishment of the
circumstellar material on yearly timescales.
| astro-ph | we present an analysis of the gaspoor circumstellar material in the hd 113766 binary system f3f5 10 16 myr recently observed by the spitzer space telescope for our study we have used the infrared mineralogical model derived from observations of the deep impact experiment we find the dust dominated by warm fine 1 um particles abundant in mgrich olivine crystalline pyroxenes amorphous silicates ferich sulfides amorphous carbon and colder waterice the warm dust material mix is akin to an inner main belt asteroid of stype composition the 440 k effective temperature of the warm dust implies that the bulk of the observed material is in a narrow belt 18 au from the 44 l_solar central source in the terrestrial planetforming region and habitable zone of the system equivalent to 09 au in the solar system the icy dust lies in 2 belts located at 49 au and at 30 80 au the lower bound of warm dust mass in 01 20 um dnda a35 particles is very large at least 3 x 1020 kg equivalent to a 320 km radius asteroid of 25 g cm3 density assuming 10m largest particles present the lower bound of warm dust mass is at least 05 m_mars the dust around hd 113766a originates from catastrophic disruption of terrestrial planet embryos and subsequent grinding of the fragments or from collisions in a young extremely dense asteroid belt undergoing aggregation the persistence of the strong ir excess over the last two decades argues for a mechanism to provide replenishment of the circumstellar material on yearly timescales | [['we', 'present', 'an', 'analysis', 'of', 'the', 'gaspoor', 'circumstellar', 'material', 'in', 'the', 'hd', '113766', 'binary', 'system', 'f3f5', '10', '16', 'myr', 'recently', 'observed', 'by', 'the', 'spitzer', 'space', 'telescope', 'for', 'our', 'study', 'we', 'have', 'used', 'the', 'infrared', 'mineralogical', 'model', 'derived', 'from', 'observations', 'of', 'the', 'deep', 'impact', 'experiment', 'we', 'find', 'the', 'dust', 'dominated', 'by', 'warm', 'fine', '1', 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710.084 | Theory of stripe domains in magnetic shape memory alloys | The evolution of multivariant patterns in thin plates of magnetic shape
memory materials with an applied magnetic field was studied theoretically. A
geometrical domain-model is considered composed of straight stripe-like
martensite variants with constant internal magnetization (high anisotropy
limit) and magnetic domain wall orientation fixed by the twin boundaries.
Through integral transforms of the demagnetization energy, the micromagnetic
energy is cast into a form convenient for direct numerical evaluation and
analytical calculations. The equilibrium geometrical parameters of multivariant
patterns with straight and oblique twin boundaries have been derived as
functions of the applied field and the material parameters of a plate. It is
shown that the oblique multivariant states exist only in plates with
thicknesses L larger than a certain critical value L_0. In samples with L < L_0
a magnetic-field-driven transformation occurs directly between single variant
states.
| cond-mat.mes-hall | the evolution of multivariant patterns in thin plates of magnetic shape memory materials with an applied magnetic field was studied theoretically a geometrical domainmodel is considered composed of straight stripelike martensite variants with constant internal magnetization high anisotropy limit and magnetic domain wall orientation fixed by the twin boundaries through integral transforms of the demagnetization energy the micromagnetic energy is cast into a form convenient for direct numerical evaluation and analytical calculations the equilibrium geometrical parameters of multivariant patterns with straight and oblique twin boundaries have been derived as functions of the applied field and the material parameters of a plate it is shown that the oblique multivariant states exist only in plates with thicknesses l larger than a certain critical value l_0 in samples with l l_0 a magneticfielddriven transformation occurs directly between single variant states | [['the', 'evolution', 'of', 'multivariant', 'patterns', 'in', 'thin', 'plates', 'of', 'magnetic', 'shape', 'memory', 'materials', 'with', 'an', 'applied', 'magnetic', 'field', 'was', 'studied', 'theoretically', 'a', 'geometrical', 'domainmodel', 'is', 'considered', 'composed', 'of', 'straight', 'stripelike', 'martensite', 'variants', 'with', 'constant', 'internal', 'magnetization', 'high', 'anisotropy', 'limit', 'and', 'magnetic', 'domain', 'wall', 'orientation', 'fixed', 'by', 'the', 'twin', 'boundaries', 'through', 'integral', 'transforms', 'of', 'the', 'demagnetization', 'energy', 'the', 'micromagnetic', 'energy', 'is', 'cast', 'into', 'a', 'form', 'convenient', 'for', 'direct', 'numerical', 'evaluation', 'and', 'analytical', 'calculations', 'the', 'equilibrium', 'geometrical', 'parameters', 'of', 'multivariant', 'patterns', 'with', 'straight', 'and', 'oblique', 'twin', 'boundaries', 'have', 'been', 'derived', 'as', 'functions', 'of', 'the', 'applied', 'field', 'and', 'the', 'material', 'parameters', 'of', 'a', 'plate', 'it', 'is', 'shown', 'that', 'the', 'oblique', 'multivariant', 'states', 'exist', 'only', 'in', 'plates', 'with', 'thicknesses', 'l', 'larger', 'than', 'a', 'certain', 'critical', 'value', 'l_0', 'in', 'samples', 'with', 'l', 'l_0', 'a', 'magneticfielddriven', 'transformation', 'occurs', 'directly', 'between', 'single', 'variant', 'states']] | [-0.16819624367824015, 0.18187593545189884, -0.06163778485771378, 0.04366963674393071, -0.10091061302741497, -0.12421107461319908, 0.011005431728656678, 0.4238738192464499, -0.2790191656060736, -0.3062905749607393, 0.07449571220700711, -0.21601370452930602, -0.08591482160494814, 0.18957341081455953, 0.030669548771316734, 0.06314194334845524, 0.014780296046999009, 0.009435668798259404, -0.09265744880779975, -0.1391350028673461, 0.27623522944529266, 0.006774635218522128, 0.332870333277456, -0.003820312937023118, 0.08774715758901198, 0.006841194154249559, 0.09018092762391247, 0.09194756324594731, -0.1763257235822012, 0.03823396008160403, 0.19466282602789922, -0.03624836555921801, 0.20607561664655805, -0.48182467084980624, -0.20563241702278473, 0.027002623332116532, 0.12462213414940326, 0.07881756796097547, -0.04547994880276212, -0.25800660820951793, 0.05842752353654599, -0.07516855833647937, -0.14363247588591868, -0.04379095614422113, 0.05035832130370716, 0.020208965184899758, -0.2645148481503437, 0.07305847220336278, 0.06459488762843915, 0.10158458404684471, -0.10201824737562086, -0.12291404434226398, -0.0756941732354736, 0.05843044559621964, 0.08151671041987892, 0.060746355684172804, 0.15765419787289026, -0.11418748511384953, -0.08793062631807783, 0.3594464068095583, -0.03413140119760903, -0.21790121138945004, 0.14536469088531756, -0.14224513888920604, -0.024243924595579943, 0.17025559432530665, 0.09844191272414345, 0.1197009955854703, -0.12385047943440869, 0.09064671931863653, -0.04112157664563069, 0.16976553821330206, 0.12492012638626072, -0.026909646697972408, 0.22932612566578695, 0.18053068579962095, 0.022156977794913796, 0.19933399695026524, -0.09938643054406651, -0.08365390381282743, -0.2885632339782794, -0.14470834012643216, -0.196169700471835, 0.022064375165534916, -0.1210543547417996, -0.229089377922826, 0.35417408635668624, 0.07455079830662512, 0.18953724497217028, -0.047264084851656875, 0.25353387439185204, 0.10723392080484807, 0.10270005646538373, 0.05821951719083111, 0.25485173266326244, 0.17747525409418707, 0.11867316272839483, -0.2291052515446448, 0.07964600382975358, 0.04928476157468086] |
710.0841 | Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy
Levels | A scheme is proposed which allows to obtain special $q$-oscillator models
whose characteristic feature consists in possessing two differing pairs of
degenerate energy levels. The method uses the model of two-parameter deformed
$q,p$-oscillators and proceeds via appropriately chosen particular relation
between $p$ and $q$. Different versions of quadratic relations $p=f(q)$ are
utilized for the case which implies two degenerate pairs $E_1=E_2$ and
$E_3=E_4$. On the other hand, using one fixed quadratic relation, we obtain
$p$-oscillators with other cases of two pairs of (pairwise) degenerate energy
levels.
| quant-ph hep-th math-ph math.MP | a scheme is proposed which allows to obtain special qoscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels the method uses the model of twoparameter deformed qposcillators and proceeds via appropriately chosen particular relation between p and q different versions of quadratic relations pfq are utilized for the case which implies two degenerate pairs e_1e_2 and e_3e_4 on the other hand using one fixed quadratic relation we obtain poscillators with other cases of two pairs of pairwise degenerate energy levels | [['a', 'scheme', 'is', 'proposed', 'which', 'allows', 'to', 'obtain', 'special', 'qoscillator', 'models', 'whose', 'characteristic', 'feature', 'consists', 'in', 'possessing', 'two', 'differing', 'pairs', 'of', 'degenerate', 'energy', 'levels', 'the', 'method', 'uses', 'the', 'model', 'of', 'twoparameter', 'deformed', 'qposcillators', 'and', 'proceeds', 'via', 'appropriately', 'chosen', 'particular', 'relation', 'between', 'p', 'and', 'q', 'different', 'versions', 'of', 'quadratic', 'relations', 'pfq', 'are', 'utilized', 'for', 'the', 'case', 'which', 'implies', 'two', 'degenerate', 'pairs', 'e_1e_2', 'and', 'e_3e_4', 'on', 'the', 'other', 'hand', 'using', 'one', 'fixed', 'quadratic', 'relation', 'we', 'obtain', 'poscillators', 'with', 'other', 'cases', 'of', 'two', 'pairs', 'of', 'pairwise', 'degenerate', 'energy', 'levels']] | [-0.1417000955531755, 0.11805317076259708, -0.0586617759215724, 0.07249875105314338, -0.04355443641823907, -0.22339843174846596, 0.014077958158576435, 0.32609020002994193, -0.2738798332894333, -0.31380876411504327, -0.01599234617062766, -0.2776354517486488, -0.10145449710179524, 0.2325189318704273, 0.017792461989784097, 0.027609109603631568, 0.03178577533507922, 0.07315220375242362, -0.108561015614948, -0.25328714301927485, 0.4231521136138633, -0.04791519855968205, 0.3069264283291547, -0.03730666943747236, 0.153330824506211, 0.03835919690711132, -0.008849713354545409, -0.008951814947440325, -0.1108023729231433, 0.16062498106396791, 0.21198072682713553, 0.05830927979178637, 0.23109729525195546, -0.37282555723136446, -0.13531229844743228, 0.15972045177302088, 0.11377655929838117, 0.07242894543794892, 0.001091188289707594, -0.20235179003653486, 0.060498959359611915, -0.16383640403040203, -0.11519310966201396, -0.04613031859296453, -0.025527095511914736, 0.06458591839792319, -0.31297327629683247, 0.10578152576057487, 0.08466533055327025, 0.011965023376137376, -0.057726813382777686, -0.1506092432095299, -0.08065215246864112, 0.11585910067927227, 0.027656385558657348, -0.04864210138344262, 0.0340459430085338, -0.06297894644674408, -0.11390533701079078, 0.37393433762242995, -0.06073068587266537, -0.23930329324099717, 0.22697210509374918, -0.08539526545476303, -0.13067985048338052, 0.08146355365240296, 0.11909931184477117, 0.1551009257133287, -0.09852398661559963, 0.10705273699769975, -0.04228316834308656, 0.10130766640046993, 0.10552289069304804, 0.03911712287689548, 0.18644124496144704, 0.05816998509746269, 0.043071226664280225, 0.16723000334648708, -0.05999983290311353, -0.14427945361730743, -0.31003411495721483, -0.11468989062066896, -0.13245776634528694, 0.0028787429517426765, -0.0700625981793652, -0.13686728406787277, 0.3986780747242397, 0.04275922483977783, 0.251151361948732, 0.036421269270961724, 0.228903726461422, 0.16477922640785755, 0.05734082550393889, 0.03478473428698504, 0.1868110318971147, 0.12133448864950473, -0.02828264635347997, -0.1793789569434362, -0.02411880530978003, 0.1393662376823016] |
710.0842 | Syst\`emes interactifs sensibles aux \'emotions : architecture
logicielle | We propose a software architecture for interactive systems which allows
integrating the user's emotion. Emotion can be involved in interaction at
several levels. In our application case - ballet dance - emotions is
explicitely manipulated by the interactive system to produce emotion-wise
output. Our architecture model to develop emotion-wise applications is based on
the PAC-Amodeus model. We add a branch to this model, divided into three
components: Data capture, analysis and cue extraction, and finally
interpretation of those cues. We show the different data flows between this
architecture's components depending on the entry point of the emotion branch
within the system. We then illustrate our model by describing our application
case: capturing a ballet dancer's movement to extract the emotions he expresses
and use these emotions to generate graphical content that is displayed on
stage.
| cs.HC | we propose a software architecture for interactive systems which allows integrating the users emotion emotion can be involved in interaction at several levels in our application case ballet dance emotions is explicitely manipulated by the interactive system to produce emotionwise output our architecture model to develop emotionwise applications is based on the pacamodeus model we add a branch to this model divided into three components data capture analysis and cue extraction and finally interpretation of those cues we show the different data flows between this architectures components depending on the entry point of the emotion branch within the system we then illustrate our model by describing our application case capturing a ballet dancers movement to extract the emotions he expresses and use these emotions to generate graphical content that is displayed on stage | [['we', 'propose', 'a', 'software', 'architecture', 'for', 'interactive', 'systems', 'which', 'allows', 'integrating', 'the', 'users', 'emotion', 'emotion', 'can', 'be', 'involved', 'in', 'interaction', 'at', 'several', 'levels', 'in', 'our', 'application', 'case', 'ballet', 'dance', 'emotions', 'is', 'explicitely', 'manipulated', 'by', 'the', 'interactive', 'system', 'to', 'produce', 'emotionwise', 'output', 'our', 'architecture', 'model', 'to', 'develop', 'emotionwise', 'applications', 'is', 'based', 'on', 'the', 'pacamodeus', 'model', 'we', 'add', 'a', 'branch', 'to', 'this', 'model', 'divided', 'into', 'three', 'components', 'data', 'capture', 'analysis', 'and', 'cue', 'extraction', 'and', 'finally', 'interpretation', 'of', 'those', 'cues', 'we', 'show', 'the', 'different', 'data', 'flows', 'between', 'this', 'architectures', 'components', 'depending', 'on', 'the', 'entry', 'point', 'of', 'the', 'emotion', 'branch', 'within', 'the', 'system', 'we', 'then', 'illustrate', 'our', 'model', 'by', 'describing', 'our', 'application', 'case', 'capturing', 'a', 'ballet', 'dancers', 'movement', 'to', 'extract', 'the', 'emotions', 'he', 'expresses', 'and', 'use', 'these', 'emotions', 'to', 'generate', 'graphical', 'content', 'that', 'is', 'displayed', 'on', 'stage']] | [-0.06634439044417097, 0.03026473794419032, -0.11149422184994015, 0.06396448672838652, -0.09682032622468587, -0.16533677253442314, 0.025311314253709638, 0.4102249808394565, -0.24987122021311034, -0.33399030006705566, 0.05772898351021397, -0.2893120818611351, -0.21633962964495787, 0.17466257926649773, -0.08112926232950905, -0.039322658309426446, 0.08224075233492141, 0.06627003332743278, 0.01410586432589648, -0.23086816167073826, 0.3380981878592418, 4.2666007692997275e-05, 0.3033294390457181, 0.0387200670889937, 0.1247515932101613, -0.004539923251678164, -0.03853130890772893, -0.04512371223133344, -0.05636268351613231, 0.19876033833122794, 0.29425788820551063, 0.1912500719246544, 0.2619680335816856, -0.40949590319337753, -0.2078353781109819, 0.02442393633357894, 0.16636798469206462, 0.1165953280001234, -0.018350573861075994, -0.33586399014681007, 0.07560597320015613, -0.19762334221830735, -0.027470058152595393, -0.11758233705678811, 0.010507647455401288, -0.0051886971650394395, -0.2785292991795219, -0.004968016297341539, 0.0669128084806009, 0.09363035026360124, -0.07417720825671074, -0.08378539081447972, 0.002103528681282814, 0.23007203831265752, 0.03504564635760079, -0.023885702126874374, 0.16511779638508764, -0.14740648305249543, -0.10685749255622236, 0.3635005513062844, -0.05323332812896786, -0.24346070824047694, 0.21090416540929044, -0.05234360363907539, -0.13018301519063802, 0.05544962140265852, 0.2443777979960522, 0.08166472911588453, -0.15992858943601068, -0.013725814636563883, -0.004093871602358726, 0.2229138151502971, 0.047244647619887614, -0.044973983927271685, 0.22888183700852097, 0.20636284152189127, -0.03915459740864417, 0.17073450103455867, -0.07636781851022253, -0.08817926893243566, -0.26833940114503585, -0.14350213975144122, -0.11347159939961364, -0.04086501420242712, -0.0714595439733015, -0.10986870432859108, 0.4331918211080707, 0.24320827970066322, 0.1993080817377911, 0.07013549306429923, 0.32467262072918507, 0.09021393654223245, 0.07178667299807645, 0.0679739543559173, 0.1538156990436479, 0.018561520697907185, 0.14758027992569483, -0.17398220914989138, 0.085134171644369, 0.08737331091856154] |
710.0843 | Superintegrable anharmonic oscillators on N-dimensional curved spaces | The maximal superintegrability of the intrinsic harmonic oscillator potential
on N-dimensional spaces with constant curvature is revisited from the point of
view of sl(2)-Poisson coalgebra symmetry. It is shown how this algebraic
approach leads to a straightforward definition of a new large family of
quasi-maximally superintegrable perturbations of the intrinsic oscillator on
such spaces. Moreover, the generalization of this construction to those
N-dimensional spaces with non-constant curvature that are endowed with
sl(2)-coalgebra symmetry is presented. As the first examples of the latter
class of systems, both the oscillator potential on an N-dimensional Darboux
space as well as several families of its quasi-maximally superintegrable
anharmonic perturbations are explicitly constructed.
| math-ph math.MP nlin.SI | the maximal superintegrability of the intrinsic harmonic oscillator potential on ndimensional spaces with constant curvature is revisited from the point of view of sl2poisson coalgebra symmetry it is shown how this algebraic approach leads to a straightforward definition of a new large family of quasimaximally superintegrable perturbations of the intrinsic oscillator on such spaces moreover the generalization of this construction to those ndimensional spaces with nonconstant curvature that are endowed with sl2coalgebra symmetry is presented as the first examples of the latter class of systems both the oscillator potential on an ndimensional darboux space as well as several families of its quasimaximally superintegrable anharmonic perturbations are explicitly constructed | [['the', 'maximal', 'superintegrability', 'of', 'the', 'intrinsic', 'harmonic', 'oscillator', 'potential', 'on', 'ndimensional', 'spaces', 'with', 'constant', 'curvature', 'is', 'revisited', 'from', 'the', 'point', 'of', 'view', 'of', 'sl2poisson', 'coalgebra', 'symmetry', 'it', 'is', 'shown', 'how', 'this', 'algebraic', 'approach', 'leads', 'to', 'a', 'straightforward', 'definition', 'of', 'a', 'new', 'large', 'family', 'of', 'quasimaximally', 'superintegrable', 'perturbations', 'of', 'the', 'intrinsic', 'oscillator', 'on', 'such', 'spaces', 'moreover', 'the', 'generalization', 'of', 'this', 'construction', 'to', 'those', 'ndimensional', 'spaces', 'with', 'nonconstant', 'curvature', 'that', 'are', 'endowed', 'with', 'sl2coalgebra', 'symmetry', 'is', 'presented', 'as', 'the', 'first', 'examples', 'of', 'the', 'latter', 'class', 'of', 'systems', 'both', 'the', 'oscillator', 'potential', 'on', 'an', 'ndimensional', 'darboux', 'space', 'as', 'well', 'as', 'several', 'families', 'of', 'its', 'quasimaximally', 'superintegrable', 'anharmonic', 'perturbations', 'are', 'explicitly', 'constructed']] | [-0.14821200352052297, 0.10712893096906384, -0.02967540324085726, 0.06316016335150157, -0.11118774393678836, -0.1455850837058124, -0.05824055865666179, 0.3363993229731074, -0.2776822722956257, -0.22969601554620378, 0.12097742335370057, -0.2843957465089295, -0.22235014718377366, 0.22130094573367387, -0.10821105342551644, 0.0591444864793338, 0.02267443522248628, 0.0928135813951914, -0.11408225786301114, -0.24502119471160871, 0.4242367615027107, 0.017888249460396903, 0.2099668175829926, -0.009240944702881124, 0.14210507270159586, -0.018007020451752294, 0.03892214200459421, 0.001572253617165909, -0.13416198008279986, 0.15254270184218427, 0.20051430856434513, 0.050626119493313554, 0.212555593731901, -0.308666972812476, -0.209227746024998, 0.1608025876647037, 0.12311128651688122, 0.11456238691044866, -0.029101610437413362, -0.3224010975187961, -0.0041579235397841575, -0.16366518557704282, -0.21825583153492156, -0.1563152441016908, 0.04857425497106786, 0.034341868311869646, -0.2041232668847408, 0.025755407310635695, 0.13031678781559128, 0.06340412564758532, -0.11506091287680287, -0.08459592142080853, -0.10154381938463182, 0.0536838246395214, 0.015143564531034878, 0.043471968297864184, 0.0823439637304477, -0.01707687911155792, -0.12820499351759934, 0.4224411930360629, -0.05914618171540634, -0.30392010886011256, 0.12220324524063265, -0.1099814946130621, -0.1265090942154375, 0.09244488542108743, 0.1594546344372848, 0.12099084348575968, -0.09859360803691845, 0.16665049015679165, -0.020542901879141352, 0.08051889892453372, 0.07440543889929101, 0.06388168106786907, 0.1562522563134443, 0.11673054305994708, 0.096451478166822, 0.18200248769783187, 0.02023911878317243, -0.15027188084951495, -0.3736361138663202, -0.14487240700526735, -0.21959046912291702, 0.11220838687655006, -0.12823980568934512, -0.20862229393420625, 0.4060212664771825, 0.054154776190495434, 0.16445364017601846, 0.08721046688535936, 0.2276332055411811, 0.09418123954015274, 0.06817693308760184, 0.0020549847647758587, 0.23650883259427435, 0.2072774284378678, 0.04267680304968413, -0.17612274653961407, -0.07097715127363116, 0.12308818369418523] |
710.0844 | Simulated synchrotron and Inverse Compton emission from Pulsar Wind
Nebulae | We present a complete set of diagnostic tools aimed at reproducing synthetic
non-thermal (synchrotron and/or Inverse Compton, IC) emissivity, integrated
flux energy, polarization and spectral index simulated maps in comparison to
observations. The time dependent relativistic magnetohydrodynamic (RMHD)
equations are solved with a shock capturing code together with the evolution of
the maximum particles energy. Applications to Pulsar Wind Nebulae (PWNe) are
shown.
| astro-ph | we present a complete set of diagnostic tools aimed at reproducing synthetic nonthermal synchrotron andor inverse compton ic emissivity integrated flux energy polarization and spectral index simulated maps in comparison to observations the time dependent relativistic magnetohydrodynamic rmhd equations are solved with a shock capturing code together with the evolution of the maximum particles energy applications to pulsar wind nebulae pwne are shown | [['we', 'present', 'a', 'complete', 'set', 'of', 'diagnostic', 'tools', 'aimed', 'at', 'reproducing', 'synthetic', 'nonthermal', 'synchrotron', 'andor', 'inverse', 'compton', 'ic', 'emissivity', 'integrated', 'flux', 'energy', 'polarization', 'and', 'spectral', 'index', 'simulated', 'maps', 'in', 'comparison', 'to', 'observations', 'the', 'time', 'dependent', 'relativistic', 'magnetohydrodynamic', 'rmhd', 'equations', 'are', 'solved', 'with', 'a', 'shock', 'capturing', 'code', 'together', 'with', 'the', 'evolution', 'of', 'the', 'maximum', 'particles', 'energy', 'applications', 'to', 'pulsar', 'wind', 'nebulae', 'pwne', 'are', 'shown']] | [-0.05892743019291037, 0.1139751108777192, -0.04696471470275095, 0.18571115180938727, -0.12248003750019484, -0.11219251080460492, -0.06937431637567305, 0.4651813632439053, -0.22563180497418794, -0.36398218631271334, 0.037010396429751485, -0.27698498488300377, 0.06608666371672399, 0.2633523924187535, 0.05457511016847714, 0.05626905272670445, 0.10262876991478223, -0.1518742943862601, -0.005559264438315516, -0.14593625862483076, 0.2880198362889507, 0.2104623866016193, 0.19378865151000874, 0.003700049106209051, 0.11029764783701726, -0.09220802175926991, -0.12076107271954357, 0.031047848962424768, -0.09385033958547172, 0.06037926288055522, 0.24140054779866385, 0.1427977900612094, 0.14877211015730624, -0.45504016730618396, -0.31218609233046807, 0.06268538216808958, 0.15741570777858474, 0.0052856650233032215, -0.04577415425603884, -0.20608352581482559, -0.02000617028753613, -0.18039854435575386, -0.21394626847985718, 0.03460227106771772, 0.007087576498706189, 0.07555846046538107, -0.2752248855780751, 0.0601247005905616, -0.040603724507881064, 0.09030185524551641, -0.1530787233440649, -0.09182265223491759, -0.03228039157369898, -0.0027294749965048617, 0.01493956146037413, -0.013008652219829697, 0.14667697890711548, -0.13527216154357624, -0.12013771828441393, 0.39769983874072157, -0.037489054096300926, -0.07621206431871369, 0.20097645733594185, -0.21854596694428768, -0.13497434827011257, 0.22713313810527325, 0.18430575347017675, 0.07506037407392074, -0.16664971698755546, 0.047248541210253264, -0.0012937019623461225, 0.15961464388029917, 0.015775517737936406, -0.024574387966403887, 0.2743590788856622, 0.10994871484858561, -0.05552845668520719, 0.16146137092321639, -0.18738531599205638, -0.025206215857040314, -0.3031889557513216, -0.08942587720969367, -0.14420949136247002, 0.108458085358882, -0.15921852116021218, -0.1561149916448076, 0.37897154889882556, 0.1433177359756969, 0.09399913088788116, 0.0346575127027574, 0.35011406650855426, 0.1862681101074919, -0.0029912207271933318, 0.21993616901870286, 0.22721910824821817, 0.21759060020041135, 0.1819200952212134, -0.28154914427016464, 0.020089125689414757, 0.04651143772911931] |
710.0845 | The nested Chinese restaurant process and Bayesian nonparametric
inference of topic hierarchies | We present the nested Chinese restaurant process (nCRP), a stochastic process
which assigns probability distributions to infinitely-deep,
infinitely-branching trees. We show how this stochastic process can be used as
a prior distribution in a Bayesian nonparametric model of document collections.
Specifically, we present an application to information retrieval in which
documents are modeled as paths down a random tree, and the preferential
attachment dynamics of the nCRP leads to clustering of documents according to
sharing of topics at multiple levels of abstraction. Given a corpus of
documents, a posterior inference algorithm finds an approximation to a
posterior distribution over trees, topics and allocations of words to levels of
the tree. We demonstrate this algorithm on collections of scientific abstracts
from several journals. This model exemplifies a recent trend in statistical
machine learning--the use of Bayesian nonparametric methods to infer
distributions on flexible data structures.
| stat.ML | we present the nested chinese restaurant process ncrp a stochastic process which assigns probability distributions to infinitelydeep infinitelybranching trees we show how this stochastic process can be used as a prior distribution in a bayesian nonparametric model of document collections specifically we present an application to information retrieval in which documents are modeled as paths down a random tree and the preferential attachment dynamics of the ncrp leads to clustering of documents according to sharing of topics at multiple levels of abstraction given a corpus of documents a posterior inference algorithm finds an approximation to a posterior distribution over trees topics and allocations of words to levels of the tree we demonstrate this algorithm on collections of scientific abstracts from several journals this model exemplifies a recent trend in statistical machine learningthe use of bayesian nonparametric methods to infer distributions on flexible data structures | [['we', 'present', 'the', 'nested', 'chinese', 'restaurant', 'process', 'ncrp', 'a', 'stochastic', 'process', 'which', 'assigns', 'probability', 'distributions', 'to', 'infinitelydeep', 'infinitelybranching', 'trees', 'we', 'show', 'how', 'this', 'stochastic', 'process', 'can', 'be', 'used', 'as', 'a', 'prior', 'distribution', 'in', 'a', 'bayesian', 'nonparametric', 'model', 'of', 'document', 'collections', 'specifically', 'we', 'present', 'an', 'application', 'to', 'information', 'retrieval', 'in', 'which', 'documents', 'are', 'modeled', 'as', 'paths', 'down', 'a', 'random', 'tree', 'and', 'the', 'preferential', 'attachment', 'dynamics', 'of', 'the', 'ncrp', 'leads', 'to', 'clustering', 'of', 'documents', 'according', 'to', 'sharing', 'of', 'topics', 'at', 'multiple', 'levels', 'of', 'abstraction', 'given', 'a', 'corpus', 'of', 'documents', 'a', 'posterior', 'inference', 'algorithm', 'finds', 'an', 'approximation', 'to', 'a', 'posterior', 'distribution', 'over', 'trees', 'topics', 'and', 'allocations', 'of', 'words', 'to', 'levels', 'of', 'the', 'tree', 'we', 'demonstrate', 'this', 'algorithm', 'on', 'collections', 'of', 'scientific', 'abstracts', 'from', 'several', 'journals', 'this', 'model', 'exemplifies', 'a', 'recent', 'trend', 'in', 'statistical', 'machine', 'learningthe', 'use', 'of', 'bayesian', 'nonparametric', 'methods', 'to', 'infer', 'distributions', 'on', 'flexible', 'data', 'structures']] | [-0.03362397791150013, 0.04562354163681448, -0.13510953214912055, 0.1321448304166021, -0.12103611497231112, -0.07807342558064395, 0.14397785020426251, 0.4264304376103812, -0.33305582273492795, -0.3196655479098101, 0.024486151825436134, -0.2793812660125291, -0.11713975761328281, 0.12717821483036257, -0.10735369115071888, 0.0490023277557662, 0.09534470924215081, 0.03865631983434367, 0.0014538759262197548, -0.27086647703415817, 0.3101795023823494, 0.08552660042187199, 0.3411610984799659, -0.04696780586770425, 0.1327219822964657, 0.018431250238791108, -0.08569717576998907, -0.026538366492736207, -0.12165346786302204, 0.17130220259746742, 0.34410193865834215, 0.24970647445621175, 0.3374185510684684, -0.36071949269777787, -0.20975577206506082, 0.08662225350174897, 0.15522190411017314, 0.13185480147593706, 0.014211824750721766, -0.2809419706399139, 0.03194876454411618, -0.212721536311114, 0.0026928752453790773, -0.08836589005255115, -0.004777545639727678, 0.044650229855000764, -0.2941557502344949, 0.045866830953552075, 0.07700747154497851, 0.061038798639654286, 0.004363759562289083, -0.13820682699507517, 0.024131220458204754, 0.1152701851776025, 0.03210575995783276, 0.010283750563555967, 0.13304408443703628, -0.12207943263961675, -0.2157646112779427, 0.3528543493982094, -0.05221072947784301, -0.22178760915994644, 0.16176648195444918, -0.0711582303225037, -0.21701351401215005, 0.09859699998115604, 0.25602904568869334, 0.11764342348194784, -0.20325811442712116, 0.030927878491234476, -0.05247733087647551, 0.17105154433779213, 0.07067906799946083, -0.07484139516923784, 0.2068650960686177, 0.23180596279497775, 0.04922067489759582, 0.1714384385163107, -0.09361183592571048, -0.11730089132066092, -0.21317921670439924, -0.1207569681735347, -0.18475124842047486, -0.011347660903185088, -0.13293990930004737, -0.26574068182768923, 0.39637927599768674, 0.22114885714351354, 0.21653291597613133, 0.12133556152629252, 0.24937746001362232, 0.03701578528691445, 0.016207138060255803, 0.0896289518552496, 0.028388349559261568, 0.08325353881526906, 0.10788500351271876, -0.06305177548428118, 0.14174485389068853, 0.029193723341450095] |
710.0846 | Isotope separation with the RICH detector of the AMS Experiment | The Alpha Magnetic Spectrometer (AMS), to be installed on the International
Space Station (ISS) in 2008, is a cosmic ray detector with several subsystems,
one of which is a proximity focusing Ring Imaging Cherenkov (RICH) detector.
This detector will be equipped with a dual radiator (aerogel+NaF), a lateral
conical mirror and a detection plane made of 680 photomultipliers and light
guides, enabling precise measurements of particle electric charge and velocity.
Combining velocity measurements with data on particle rigidity from the AMS
Tracker it is possible to obtain a measurement for particle mass, allowing the
separation of isotopes. A Monte Carlo simulation of the RICH detector, based on
realistic properties measured at ion beam tests, was performed to evaluate
isotope separation capabilities. Results for three elements -- H (Z=1), He
(Z=2) and Be (Z=4) -- are presented.
| astro-ph | the alpha magnetic spectrometer ams to be installed on the international space station iss in 2008 is a cosmic ray detector with several subsystems one of which is a proximity focusing ring imaging cherenkov rich detector this detector will be equipped with a dual radiator aerogelnaf a lateral conical mirror and a detection plane made of 680 photomultipliers and light guides enabling precise measurements of particle electric charge and velocity combining velocity measurements with data on particle rigidity from the ams tracker it is possible to obtain a measurement for particle mass allowing the separation of isotopes a monte carlo simulation of the rich detector based on realistic properties measured at ion beam tests was performed to evaluate isotope separation capabilities results for three elements h z1 he z2 and be z4 are presented | [['the', 'alpha', 'magnetic', 'spectrometer', 'ams', 'to', 'be', 'installed', 'on', 'the', 'international', 'space', 'station', 'iss', 'in', '2008', 'is', 'a', 'cosmic', 'ray', 'detector', 'with', 'several', 'subsystems', 'one', 'of', 'which', 'is', 'a', 'proximity', 'focusing', 'ring', 'imaging', 'cherenkov', 'rich', 'detector', 'this', 'detector', 'will', 'be', 'equipped', 'with', 'a', 'dual', 'radiator', 'aerogelnaf', 'a', 'lateral', 'conical', 'mirror', 'and', 'a', 'detection', 'plane', 'made', 'of', '680', 'photomultipliers', 'and', 'light', 'guides', 'enabling', 'precise', 'measurements', 'of', 'particle', 'electric', 'charge', 'and', 'velocity', 'combining', 'velocity', 'measurements', 'with', 'data', 'on', 'particle', 'rigidity', 'from', 'the', 'ams', 'tracker', 'it', 'is', 'possible', 'to', 'obtain', 'a', 'measurement', 'for', 'particle', 'mass', 'allowing', 'the', 'separation', 'of', 'isotopes', 'a', 'monte', 'carlo', 'simulation', 'of', 'the', 'rich', 'detector', 'based', 'on', 'realistic', 'properties', 'measured', 'at', 'ion', 'beam', 'tests', 'was', 'performed', 'to', 'evaluate', 'isotope', 'separation', 'capabilities', 'results', 'for', 'three', 'elements', 'h', 'z1', 'he', 'z2', 'and', 'be', 'z4', 'are', 'presented']] | [-0.09760720044402267, 0.1843260335214714, -0.1058724640778252, 0.024732058271835212, -0.05732495731799238, -0.18750564188613042, -0.017078024515909934, 0.39707755953170804, -0.17017755915285715, -0.35056426743768265, 0.08049229915173892, -0.34925494944231944, 0.013311899850951202, 0.2319453863293252, -0.0018096429490442596, 0.07261444496185478, 0.12721422240972075, -0.010552672801344698, -0.080475187791362, -0.17610315371429852, 0.217523236037927, 0.19664550523635055, 0.2704250827334376, 0.02591229302794742, 0.17098206520139642, 0.015421495062243471, -0.07389300967802975, 0.02223344805017079, -0.12172457516721602, 0.07545373008374485, 0.24263732692503906, 0.08426025992175981, 0.13045773352496326, -0.3963033715263009, -0.15687279897366666, 0.06592875712467774, 0.07634340798996611, 0.023541470900101502, -0.11379813952562608, -0.3349891543777576, 0.03805490251310837, -0.16687918996521786, -0.15680408710613847, 0.03403568534708735, -0.023657848766601798, 0.057863217267666515, -0.27509094982359333, -0.030483115525262904, -0.029203883645910103, 0.0850344485709263, -0.01712664754786737, -0.0986900697184254, 0.003412105012754562, 0.05735302485748014, -0.0036628147328286362, 0.05590982779638091, 0.2084168646998926, -0.0637493555745394, -0.0805746364101434, 0.3416360092537005, -0.030176158614348927, -0.13630528754290583, 0.18251440342717262, -0.20992133660075157, -0.09388429503679387, 0.197684737322018, 0.1931626388808337, 0.09986231211614587, -0.18789155073046906, 0.06129798905944813, -0.0006358870722131053, 0.21269264359886905, 0.06870120034706015, 0.0237795327852633, 0.24466921878394796, 0.23825996123000617, 0.08694044110359131, 0.09345875516781017, -0.2231345953030595, -0.016654926799185604, -0.30165432311538887, -0.19288389177631532, -0.1563619507638279, 0.03341003489826542, -0.034689941542542804, -0.1048947068128071, 0.3689959816141193, 0.09627972174185648, 0.15071460223972186, -0.029000592651714417, 0.29757494588882955, 0.018187185674697272, 0.0907664680525525, -0.017051422031971613, 0.2930184110126861, 0.18824415586527382, 0.14420774709711323, -0.21407386662139655, 0.007002869285573599, 0.06486294810562881] |
710.0847 | Emotion capture based on body postures and movements | In this paper we present a preliminary study for designing interactive
systems that are sensible to human emotions based on the body movements. To do
so, we first review the literature on the various approaches for defining and
characterizing human emotions. After justifying the adopted characterization
space for emotions, we then focus on the movement characteristics that must be
captured by the system for being able to recognize the human emotions.
| cs.HC | in this paper we present a preliminary study for designing interactive systems that are sensible to human emotions based on the body movements to do so we first review the literature on the various approaches for defining and characterizing human emotions after justifying the adopted characterization space for emotions we then focus on the movement characteristics that must be captured by the system for being able to recognize the human emotions | [['in', 'this', 'paper', 'we', 'present', 'a', 'preliminary', 'study', 'for', 'designing', 'interactive', 'systems', 'that', 'are', 'sensible', 'to', 'human', 'emotions', 'based', 'on', 'the', 'body', 'movements', 'to', 'do', 'so', 'we', 'first', 'review', 'the', 'literature', 'on', 'the', 'various', 'approaches', 'for', 'defining', 'and', 'characterizing', 'human', 'emotions', 'after', 'justifying', 'the', 'adopted', 'characterization', 'space', 'for', 'emotions', 'we', 'then', 'focus', 'on', 'the', 'movement', 'characteristics', 'that', 'must', 'be', 'captured', 'by', 'the', 'system', 'for', 'being', 'able', 'to', 'recognize', 'the', 'human', 'emotions']] | [-0.04403501041692642, 0.06149843974944047, -0.08881620733513379, 0.0918425917149928, -0.14405314036658112, -0.11439171203241592, 0.03292530595856181, 0.44154970221956014, -0.18890285733300197, -0.2820702633807357, 0.09589350733637128, -0.26224080018017076, -0.2538117431628872, 0.22209872556096075, -0.16141813057540377, 0.032006513674966465, 0.05968506199235595, 0.09248026936236296, -0.006553344330160131, -0.22409637240876615, 0.3736309725791216, 0.022630946697588538, 0.2369185573434536, 0.046451268002758145, 0.10414293177530799, 0.016313762846730754, -0.05095074508867135, 0.03386860992718475, -0.14462227782363263, 0.20485274512058413, 0.2913240712188499, 0.19859807590075151, 0.3201301202807628, -0.4530213810503483, -0.20973277935417187, 0.07683889582280962, 0.14696159738470133, 0.11214196821018843, -0.02618063903498975, -0.3554274435089508, 0.11454268836770469, -0.1379126353110646, -0.03961809368436815, -0.12698085847455012, 0.06924175439586103, -0.02513369022291416, -0.2098968953736992, -0.03673203548573902, 0.06338418087541638, 0.1393983873184508, -0.09234476086198234, -0.10370467594516476, 0.06465373941247096, 0.2855475823276899, 0.07323542145912168, -0.03987353498732645, 0.1833128623244628, -0.16601061351059504, -0.1264159047359627, 0.39756150462362966, -0.011019635430707688, -0.2481219084330008, 0.22216655202472294, -0.11373779150283515, -0.15885747436919367, 0.03681842335434237, 0.2461131755000269, 0.10429651905703817, -0.20774336317947634, -0.039641640358112594, -0.03609158885730824, 0.19588302836825572, 0.038472862304253896, -0.010613671989298202, 0.22092289562848672, 0.18853114482382655, -0.0032758132298804925, 0.1047521063936612, -0.02916352682038617, -0.06413634118794555, -0.2771647926157629, -0.1477800028752798, -0.14131857090118066, -0.022071104857440984, 0.008240906489089879, -0.12329829183839996, 0.41496151824101385, 0.23864446955562477, 0.16465413329047215, 0.12326218588212111, 0.3154282662230478, 0.04808727165185649, 0.04251838979166998, 0.03939704514029895, 0.23043855463981, -0.04695415562084338, 0.16704074891684184, -0.21063570117472974, 0.137064496179859, 0.06973404737359935] |
710.0848 | Formulas for Birkhoff-(Rota-Baxter) decompositions related to connected
bialgebra | In recent years, The BPHZ algorithm for renormalization in quantum field
theory has been interpreted, after dimensional regularization, as the
Birkhoff-(Rota-Baxter) decomposition (BRB) of characters on the Hopf algebra of
Feynmann graphs, with values in a Rota-Baxter algebra. We give in this paper
formulas for the BRB decomposition in the group $\mathcal{C}(H, A)$ of
characters on a connected Hopf algebra $H$, with values in a Rota-Baxter
(commutative) algebra $A$. To do so we first define the stuffle (or
quasi-shuffle) Hopf algebra $A^{\tmop{st}}$ associated to an algebra $A$. We
prove then that for any connected Hopf algebra $H = k 1_H \oplus H'$, there
exists a canonical injective morphism from $H$ to $H'^{\tmop{st}}$. This
morphism induces an action of $\mathcal{C}(A^{\tmop{st}}, A)$ on
$\mathcal{C}(H, A)$ so that the BRB decomposition in $\mathcal{C}(H, A)$ is
determined by the action of a unique (universal) element of
$\mathcal{C}(A^{\tmop{st}}, A)$.
| math.CO | in recent years the bphz algorithm for renormalization in quantum field theory has been interpreted after dimensional regularization as the birkhoffrotabaxter decomposition brb of characters on the hopf algebra of feynmann graphs with values in a rotabaxter algebra we give in this paper formulas for the brb decomposition in the group mathcalch a of characters on a connected hopf algebra h with values in a rotabaxter commutative algebra a to do so we first define the stuffle or quasishuffle hopf algebra atmopst associated to an algebra a we prove then that for any connected hopf algebra h k 1_h oplus h there exists a canonical injective morphism from h to htmopst this morphism induces an action of mathcalcatmopst a on mathcalch a so that the brb decomposition in mathcalch a is determined by the action of a unique universal element of mathcalcatmopst a | [['in', 'recent', 'years', 'the', 'bphz', 'algorithm', 'for', 'renormalization', 'in', 'quantum', 'field', 'theory', 'has', 'been', 'interpreted', 'after', 'dimensional', 'regularization', 'as', 'the', 'birkhoffrotabaxter', 'decomposition', 'brb', 'of', 'characters', 'on', 'the', 'hopf', 'algebra', 'of', 'feynmann', 'graphs', 'with', 'values', 'in', 'a', 'rotabaxter', 'algebra', 'we', 'give', 'in', 'this', 'paper', 'formulas', 'for', 'the', 'brb', 'decomposition', 'in', 'the', 'group', 'mathcalch', 'a', 'of', 'characters', 'on', 'a', 'connected', 'hopf', 'algebra', 'h', 'with', 'values', 'in', 'a', 'rotabaxter', 'commutative', 'algebra', 'a', 'to', 'do', 'so', 'we', 'first', 'define', 'the', 'stuffle', 'or', 'quasishuffle', 'hopf', 'algebra', 'atmopst', 'associated', 'to', 'an', 'algebra', 'a', 'we', 'prove', 'then', 'that', 'for', 'any', 'connected', 'hopf', 'algebra', 'h', 'k', '1_h', 'oplus', 'h', 'there', 'exists', 'a', 'canonical', 'injective', 'morphism', 'from', 'h', 'to', 'htmopst', 'this', 'morphism', 'induces', 'an', 'action', 'of', 'mathcalcatmopst', 'a', 'on', 'mathcalch', 'a', 'so', 'that', 'the', 'brb', 'decomposition', 'in', 'mathcalch', 'a', 'is', 'determined', 'by', 'the', 'action', 'of', 'a', 'unique', 'universal', 'element', 'of', 'mathcalcatmopst', 'a']] | [-0.17498206554750062, 0.07533755768478538, -0.11654227493546795, 0.012197030980673118, -0.13951432007108477, -0.1263164042468196, 0.02328314769344971, 0.35674207437567523, -0.37313237671564886, -0.16840691215264192, 0.09975865982604497, -0.2247646805400913, -0.15088008747240395, 0.1609944209609977, -0.14840666694932303, -0.06919720033803732, 0.09645156962864533, 0.17349119851217215, -0.11769724331553215, -0.18517370598957592, 0.36646364645803, -0.011359534925693457, 0.18555035170815562, 0.025495828348684354, 0.13766005062970563, -0.0015147343409531143, -0.01883242912320555, 0.019297098720689184, -0.19450162456801542, 0.06155604857654459, 0.3109011815513309, 0.0703011762883946, 0.23620611161627955, -0.3304776123630396, -0.07338016835189816, 0.17476374163305847, 0.15636385841281625, 0.014470123321465824, -0.02742935386840659, -0.26273084880676173, 0.08700826232466236, -0.2511969580706479, -0.040395870018561465, -0.08532939924929372, 0.11907353067004621, -0.10437900473134241, -0.31111384966441064, -0.007882189313523417, 0.06548109523061177, 0.1427498617398458, -0.04542622694313742, -0.11838857148962932, -0.08400109772354472, 0.055396666974706604, -0.07388810688069603, 0.07718550548146384, 0.09254305624062249, -0.11003305289989879, -0.19269243637572273, 0.35477453848832974, -0.07320785095604758, -0.20784383744699036, 0.08694015352217399, -0.1605845948755471, -0.2197545600913303, 0.09914729502591965, 0.06370540037649967, 0.1269376182159328, -0.047290290179459946, 0.23687569168058858, -0.15615799914087183, 0.06662698267905069, 0.08087758083517353, -0.022607890902546005, 0.11560691479404551, 0.10817897776006788, 0.05579181089896061, 0.12215014200225688, 0.05074996944386984, -0.004047130028703722, -0.35480312892384286, -0.20001370164201313, -0.10193851462774572, 0.17789023185985675, -0.10433345940301492, -0.19741282151148154, 0.4086655253895383, 0.11210450951129779, 0.22174342447702866, 0.06546164861461823, 0.20820786508451472, 0.11565525218780301, 0.16059024463259225, 0.059146360047094095, 0.14059176928012806, 0.27962164667711686, 0.015349991994140588, -0.14555782206403767, -0.05458199635630581, 0.24004237579208784] |
710.0849 | Decomposition of variance in terms of conditional means | We test against two different sets of data an apparently new approach to the
analysis of the variance of a numerical variable which depends on qualitative
characters. We suggest that this approach be used to complement other existing
techniques to study the interdependence of the variables involved. According to
our method the variance is expressed as a sum of orthogonal components,
obtained as differences of conditional means, with respect to the qualitative
characters. The resulting expression for the variance depends on the ordering
in which the characters are considered. We suggest an algorithm which leads to
an ordering which is deemed natural. The first set of data concerns the score
achieved by a population of students, on an entrance examination, based on a
multiple choice test with 30 questions. In this case the qualitative characters
are dyadic and correspond to correct or incorrect answer to each question. The
second set of data concerns the delay in obtaining the degree for a population
of graduates of Italian universities. The variance in this case is analyzed
with respect to a set of seven specific qualitative characters of the
population studied (gender, previous education, working condition, parent's
educational level, field of study, etc.)
| stat.AP | we test against two different sets of data an apparently new approach to the analysis of the variance of a numerical variable which depends on qualitative characters we suggest that this approach be used to complement other existing techniques to study the interdependence of the variables involved according to our method the variance is expressed as a sum of orthogonal components obtained as differences of conditional means with respect to the qualitative characters the resulting expression for the variance depends on the ordering in which the characters are considered we suggest an algorithm which leads to an ordering which is deemed natural the first set of data concerns the score achieved by a population of students on an entrance examination based on a multiple choice test with 30 questions in this case the qualitative characters are dyadic and correspond to correct or incorrect answer to each question the second set of data concerns the delay in obtaining the degree for a population of graduates of italian universities the variance in this case is analyzed with respect to a set of seven specific qualitative characters of the population studied gender previous education working condition parents educational level field of study etc | [['we', 'test', 'against', 'two', 'different', 'sets', 'of', 'data', 'an', 'apparently', 'new', 'approach', 'to', 'the', 'analysis', 'of', 'the', 'variance', 'of', 'a', 'numerical', 'variable', 'which', 'depends', 'on', 'qualitative', 'characters', 'we', 'suggest', 'that', 'this', 'approach', 'be', 'used', 'to', 'complement', 'other', 'existing', 'techniques', 'to', 'study', 'the', 'interdependence', 'of', 'the', 'variables', 'involved', 'according', 'to', 'our', 'method', 'the', 'variance', 'is', 'expressed', 'as', 'a', 'sum', 'of', 'orthogonal', 'components', 'obtained', 'as', 'differences', 'of', 'conditional', 'means', 'with', 'respect', 'to', 'the', 'qualitative', 'characters', 'the', 'resulting', 'expression', 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'studied', 'gender', 'previous', 'education', 'working', 'condition', 'parents', 'educational', 'level', 'field', 'of', 'study', 'etc']] | [-0.09570157867347007, 0.043066023048231726, -0.08960164205171167, 0.07585583813022823, -0.08894199587288312, -0.08300236911512911, 0.07960281173756811, 0.3487212564703077, -0.24200432534096764, -0.33150531362334734, 0.08426068071625195, -0.28505664578522555, -0.11265341198770329, 0.21105176975339418, -0.10209473784314468, 0.011000555413775146, 0.06216825028415769, 0.09331802965491079, -0.03211469233036041, -0.2967115093069151, 0.3424142792169005, 0.055815117687452585, 0.3114555545244366, 0.008786281247157603, 0.09407222533714958, -0.0006453384066116996, -0.06313654141034931, 0.02149433212089207, -0.08962736958947062, 0.15648434357601218, 0.2668714983086102, 0.15929236878873781, 0.3161000971472822, -0.38002651851740665, -0.1384922587790061, 0.08189622196368873, 0.09791080902330578, 0.08208439769456163, -0.007788316116202623, -0.2819774894672446, 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710.085 | Monte Carlo Methods and Path-Generation techniques for Pricing
Multi-asset Path-dependent Options | We consider the problem of pricing path-dependent options on a basket of
underlying assets using simulations. As an example we develop our studies using
Asian options. Asian options are derivative contracts in which the underlying
variable is the average price of given assets sampled over a period of time.
Due to this structure, Asian options display a lower volatility and are
therefore cheaper than their standard European counterparts. This paper is a
survey of some recent enhancements to improve efficiency when pricing Asian
options by Monte Carlo simulation in the Black-Scholes model. We analyze the
dynamics with constant and time-dependent volatilities of the underlying asset
returns. We present a comparison between the precision of the standard Monte
Carlo method (MC) and the stratified Latin Hypercube Sampling (LHS). In
particular, we discuss the use of low-discrepancy sequences, also known as
Quasi-Monte Carlo method (QMC), and a randomized version of these sequences,
known as Randomized Quasi Monte Carlo (RQMC). The latter has proven to be a
useful variance reduction technique for both problems of up to 20 dimensions
and for very high dimensions. Moreover, we present and test a new path
generation approach based on a Kronecker product approximation (KPA) in the
case of time-dependent volatilities. KPA proves to be a fast generation
technique and reduces the computational cost of the simulation procedure.
| math.PR stat.AP | we consider the problem of pricing pathdependent options on a basket of underlying assets using simulations as an example we develop our studies using asian options asian options are derivative contracts in which the underlying variable is the average price of given assets sampled over a period of time due to this structure asian options display a lower volatility and are therefore cheaper than their standard european counterparts this paper is a survey of some recent enhancements to improve efficiency when pricing asian options by monte carlo simulation in the blackscholes model we analyze the dynamics with constant and timedependent volatilities of the underlying asset returns we present a comparison between the precision of the standard monte carlo method mc and the stratified latin hypercube sampling lhs in particular we discuss the use of lowdiscrepancy sequences also known as quasimonte carlo method qmc and a randomized version of these sequences known as randomized quasi monte carlo rqmc the latter has proven to be a useful variance reduction technique for both problems of up to 20 dimensions and for very high dimensions moreover we present and test a new path generation approach based on a kronecker product approximation kpa in the case of timedependent volatilities kpa proves to be a fast generation technique and reduces the computational cost of the simulation procedure | [['we', 'consider', 'the', 'problem', 'of', 'pricing', 'pathdependent', 'options', 'on', 'a', 'basket', 'of', 'underlying', 'assets', 'using', 'simulations', 'as', 'an', 'example', 'we', 'develop', 'our', 'studies', 'using', 'asian', 'options', 'asian', 'options', 'are', 'derivative', 'contracts', 'in', 'which', 'the', 'underlying', 'variable', 'is', 'the', 'average', 'price', 'of', 'given', 'assets', 'sampled', 'over', 'a', 'period', 'of', 'time', 'due', 'to', 'this', 'structure', 'asian', 'options', 'display', 'a', 'lower', 'volatility', 'and', 'are', 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710.0851 | Embedded two-photon polymerized features with near-perfect lattice
registration within self-organized photonic crystals and their optical
properties | Two-photon polymerization has been demonstrated as an effective technique to
define embedded defects in three-dimensional photonic crystals. In this work we
demonstrate the ability to precisely position embedded defects with respect to
the lattice of three-dimensional photonic crystals by imaging the structure
concurrently with two-photon writing. Defects are written with near-perfect
lattice registration and at specifically defined depths within the crystal. The
importance of precise defect position is demonstrated by investigating the
optical properties of embedded planar cavities written in a photonic crystal.
The experimental data is compared to spectra calculated using the Scalar Wave
Approximation (SWA) which further demonstrates the importance of defect
placement.
| cond-mat.mtrl-sci cond-mat.other | twophoton polymerization has been demonstrated as an effective technique to define embedded defects in threedimensional photonic crystals in this work we demonstrate the ability to precisely position embedded defects with respect to the lattice of threedimensional photonic crystals by imaging the structure concurrently with twophoton writing defects are written with nearperfect lattice registration and at specifically defined depths within the crystal the importance of precise defect position is demonstrated by investigating the optical properties of embedded planar cavities written in a photonic crystal the experimental data is compared to spectra calculated using the scalar wave approximation swa which further demonstrates the importance of defect placement | [['twophoton', 'polymerization', 'has', 'been', 'demonstrated', 'as', 'an', 'effective', 'technique', 'to', 'define', 'embedded', 'defects', 'in', 'threedimensional', 'photonic', 'crystals', 'in', 'this', 'work', 'we', 'demonstrate', 'the', 'ability', 'to', 'precisely', 'position', 'embedded', 'defects', 'with', 'respect', 'to', 'the', 'lattice', 'of', 'threedimensional', 'photonic', 'crystals', 'by', 'imaging', 'the', 'structure', 'concurrently', 'with', 'twophoton', 'writing', 'defects', 'are', 'written', 'with', 'nearperfect', 'lattice', 'registration', 'and', 'at', 'specifically', 'defined', 'depths', 'within', 'the', 'crystal', 'the', 'importance', 'of', 'precise', 'defect', 'position', 'is', 'demonstrated', 'by', 'investigating', 'the', 'optical', 'properties', 'of', 'embedded', 'planar', 'cavities', 'written', 'in', 'a', 'photonic', 'crystal', 'the', 'experimental', 'data', 'is', 'compared', 'to', 'spectra', 'calculated', 'using', 'the', 'scalar', 'wave', 'approximation', 'swa', 'which', 'further', 'demonstrates', 'the', 'importance', 'of', 'defect', 'placement']] | [-0.08976399886998393, 0.12444090624242866, -0.03185840946666542, -0.0422495729678, -0.013652667988623891, -0.12457917646194498, 0.007958126218900794, 0.4918242561852648, -0.23765608381834769, -0.2959955558341573, 0.035042509681633895, -0.28106020932041464, -0.13487387608204568, 0.1656523035972246, 0.010187828112837104, 0.11765324752112584, 0.028823202564602808, -0.03189518194468249, -0.062197260500951895, -0.20381932847334872, 0.25726810814369294, 0.0715250798545423, 0.35332125406712295, 0.06925907349657445, 0.07850309313341443, 0.056644184182264974, 0.014587379796873955, 0.030649020168043318, -0.14521146737305182, 0.17141758386666575, 0.2689845940494533, -0.011157973334636716, 0.18820048447343565, -0.45673678049019406, -0.23922117889104855, 0.022067670315681468, 0.1636470346711576, 0.15443510458516402, -0.08686364399978802, -0.2918029540794946, 0.06756636338929335, -0.09319150537429821, -0.17614654807285185, -0.06941186696113576, -0.04147028818815237, -0.006876439261915428, -0.20096034443815283, -0.0009761955070730654, -0.011705250310755911, 0.07354876719237793, -0.04732630338541986, -0.03368099225862395, -0.07202534713294534, 0.07274508259392211, -0.06433218139489846, 0.042307387793525345, 0.16032466128291117, -0.11279639492387927, -0.1721716625283339, 0.4449825905086029, -0.05181976547908215, -0.19838930714343275, 0.13094600228858846, -0.14273151169930184, -0.07798343600173081, 0.1559213400020131, 0.15292213702286106, 0.09039772638962382, -0.12133736374089495, 0.06424314925569065, 0.014706331093025039, 0.2108928804302455, 0.1204412442920286, 0.07998241170176439, 0.2106681675117995, 0.2030324110184752, -0.028291504528550875, 0.2114069423682633, -0.10962977647958767, -0.06260664705187083, -0.22076643982103894, -0.19349870854722603, -0.23198663472153602, 0.029147350411568324, -0.07863764693237109, -0.17772029602367964, 0.3851993760892323, 0.09374092584919362, 0.1484640267988046, -0.04676111825586607, 0.25608127227806976, 0.09404065308626741, 0.1218002309845317, -0.015064432480860325, 0.2521892643311904, 0.1566564726377172, 0.07746797706155727, -0.24026488893266235, 0.010981094251785959, 0.0201599149210822] |
710.0852 | A regularization algorithm for matrices of bilinear and sesquilinear
forms | We give an algorithm that uses only unitary transformations and for each
square complex matrix constructs a *congruent matrix that is a direct sum of a
nonsingular matrix and singular Jordan blocks.
| math.RT | we give an algorithm that uses only unitary transformations and for each square complex matrix constructs a congruent matrix that is a direct sum of a nonsingular matrix and singular jordan blocks | [['we', 'give', 'an', 'algorithm', 'that', 'uses', 'only', 'unitary', 'transformations', 'and', 'for', 'each', 'square', 'complex', 'matrix', 'constructs', 'a', 'congruent', 'matrix', 'that', 'is', 'a', 'direct', 'sum', 'of', 'a', 'nonsingular', 'matrix', 'and', 'singular', 'jordan', 'blocks']] | [-0.1428890412207693, 0.0963182419259283, -0.06429671685327776, -0.026004133145761443, -0.10506654944038019, -0.20214469505299348, -0.008585417512222193, 0.3639547305647284, -0.290810919017531, -0.09483663848368451, 0.1253448448405834, -0.2798098395578563, -0.29971986284363084, 0.10952945612370968, -0.04860504134558141, 0.03869674645829946, 0.08626360748894513, 0.10599753726273775, -0.21908356399217155, -0.28361607214901596, 0.3125133407302201, -0.03326679492602125, 0.18317109320196323, -0.007648434657312464, 0.2229686555074295, 0.11037171317730099, -0.02202822788967751, -0.03170803052489646, -0.04802890161454343, 0.11458873892115662, 0.2770438894513063, 0.19895513128722087, 0.1978714078431949, -0.4394594519690145, -0.08834203735750634, 0.201764401368564, 0.126836559487856, 0.06154479819815606, -0.02617996488697827, -0.19771057221805677, 0.11787261111021508, -0.16476232616696507, -0.10668923967750743, -0.0963972103127162, 0.059345721267163754, -0.06290976324817166, -0.3815386483911425, 0.043659232440404594, 0.07532322691986337, 0.03173155413242057, 0.0024860985067789443, -0.15224344813032076, 0.07619266412802972, 0.09397921913478058, -0.0978621449394268, -0.017707615203107707, 0.12371420483395923, 0.004166054248344153, -0.08524809282971546, 0.3817349390956224, -0.020848582964390516, -0.25143940457201097, 0.0938795922556892, -0.02855361373804044, -0.10583395947469398, 0.1517433496628655, 0.1137946302187629, 0.09148395727970637, -0.10633128916379064, 0.15298135846023797, -0.16172672252287157, 0.18830617412459105, 0.0687703519652132, -0.08254087911336683, 0.1715699875858263, 0.06554897929891013, 0.14011536922771484, 0.08348476409446448, 0.0689010677888291, -0.06676371884532273, -0.3719398486427963, -0.24885259999427944, -0.27620179593213834, 0.09829367147176526, -0.20608730746062065, -0.2507899764168542, 0.43781718547688797, -0.0005787894478999078, 0.26430151794920675, 0.12118127259600442, 0.2605891515268013, 0.09534733655164018, 0.09838630520971492, 0.062085878002108075, 0.10057058567326749, 0.23777310724835843, -0.041999062814284116, -0.12402044783812016, -0.04375715290370863, 0.20924524252768606] |
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