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709.3735 | Functorial Cartier duality | In this paper we obtain the Cartier duality for k-schemes of commutative
monoids functorially without providing the vector spaces of functions with a
topology, generalizing a result for finite commutative algebraic groups by M.
Demazure and P. Gabriel.
| math.AG | in this paper we obtain the cartier duality for kschemes of commutative monoids functorially without providing the vector spaces of functions with a topology generalizing a result for finite commutative algebraic groups by m demazure and p gabriel | [['in', 'this', 'paper', 'we', 'obtain', 'the', 'cartier', 'duality', 'for', 'kschemes', 'of', 'commutative', 'monoids', 'functorially', 'without', 'providing', 'the', 'vector', 'spaces', 'of', 'functions', 'with', 'a', 'topology', 'generalizing', 'a', 'result', 'for', 'finite', 'commutative', 'algebraic', 'groups', 'by', 'm', 'demazure', 'and', 'p', 'gabriel']] | [-0.1945115868737431, 0.08444765670911263, -0.10161543392429226, 0.08829363840815954, -0.12368196697513524, -0.1736322332626993, 0.027406064968090504, 0.3475621367167485, -0.42320155791055997, -0.18894738453979554, 0.028537459306933573, -0.19602191901618712, -0.09357405642635729, 0.1892733387832873, -0.1977576995268464, -0.056661426383805905, 0.016301998378414857, 0.0941128682247118, -0.13289335446040096, -0.3028400784027518, 0.4828448043400912, -0.013223965799337939, 0.22481656015703552, 0.019182352055060237, 0.100846836613001, 0.10333661896813857, -0.059588703143067266, 0.02524672206001062, -0.17288410875603163, 0.15617050621873013, 0.4540573489901267, 0.038502577294007335, 0.1919825694180633, -0.3574779196397254, -0.10525850762956236, 0.2106920697750818, 0.09595609835875955, -0.01883786198634066, -0.051989544991795957, -0.29219870092837436, 0.15288358598359322, -0.22857147560601956, -0.12772503996414966, -0.09464658323773428, 0.09753674095937688, 0.028938635669060443, -0.2817123324463242, -0.06903724874810953, 0.17745209284322827, 0.209585935146989, -0.10575107273670208, -0.07504523477798916, -0.03978290792407566, 0.040223807905261456, -0.09633451940393761, 0.05968952072343152, 0.05145476044057623, -0.041092267842032015, -0.18103018069737836, 0.3329880031462955, -0.03824750071783599, -0.27282436136891575, 0.10008102155437595, -0.16966334890917337, -0.13401564825816373, 0.10240551647975256, -0.017083200086888514, 0.17824706386186576, 0.03246061638683865, 0.2863951674157043, -0.21161062228738478, -0.02453834249785072, 0.14329171536098184, 0.05932541968956541, 0.08617224578598612, 0.07005340570436888, 0.07610232017836288, 0.17620031849334114, 0.11721284963239573, 0.05246310297087276, -0.35835819132626057, -0.20416351521730816, -0.06952388236593258, 0.17995321407522025, -0.1483113001170415, -0.19772059024973332, 0.36439695486210677, 0.031671482426310446, 0.15487707273936585, 0.20594390332208654, 0.19623355479224733, 0.008778744842857122, 0.02308022510873056, 0.0045943125151097775, 0.04439811720390265, 0.3185605581322881, 0.0072608184633090305, -0.09326383560332224, -0.07058705932975404, 0.3444238651764432] |
709.3736 | Construction and analysis of approximate models for electromagnetic
scattering from imperfectly conducting scatterers | This report is dedicated to the construction and analysis of so-called
Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic
scattering problems from imperfect conductors as higher order approximations of
a perfect conductor condition. We consider here the 3-D case with Maxwell
equations in a harmonic regime. The construction of GIBCs is based on a scaled
asymptotic expansion with respect to the skin depth. The asymptotic expansion
is theoretically justified at any order and we give explicit expressions till
the third order. These expressions are used to derive the GIBCs. The associated
boundary value problem is analyzed and error estimates are obtained in terms of
the skin depth.
| math.AP | this report is dedicated to the construction and analysis of socalled generalized impedance boundary conditions gibcs used in electromagnetic scattering problems from imperfect conductors as higher order approximations of a perfect conductor condition we consider here the 3d case with maxwell equations in a harmonic regime the construction of gibcs is based on a scaled asymptotic expansion with respect to the skin depth the asymptotic expansion is theoretically justified at any order and we give explicit expressions till the third order these expressions are used to derive the gibcs the associated boundary value problem is analyzed and error estimates are obtained in terms of the skin depth | [['this', 'report', 'is', 'dedicated', 'to', 'the', 'construction', 'and', 'analysis', 'of', 'socalled', 'generalized', 'impedance', 'boundary', 'conditions', 'gibcs', 'used', 'in', 'electromagnetic', 'scattering', 'problems', 'from', 'imperfect', 'conductors', 'as', 'higher', 'order', 'approximations', 'of', 'a', 'perfect', 'conductor', 'condition', 'we', 'consider', 'here', 'the', '3d', 'case', 'with', 'maxwell', 'equations', 'in', 'a', 'harmonic', 'regime', 'the', 'construction', 'of', 'gibcs', 'is', 'based', 'on', 'a', 'scaled', 'asymptotic', 'expansion', 'with', 'respect', 'to', 'the', 'skin', 'depth', 'the', 'asymptotic', 'expansion', 'is', 'theoretically', 'justified', 'at', 'any', 'order', 'and', 'we', 'give', 'explicit', 'expressions', 'till', 'the', 'third', 'order', 'these', 'expressions', 'are', 'used', 'to', 'derive', 'the', 'gibcs', 'the', 'associated', 'boundary', 'value', 'problem', 'is', 'analyzed', 'and', 'error', 'estimates', 'are', 'obtained', 'in', 'terms', 'of', 'the', 'skin', 'depth']] | [-0.13138774791123153, 0.0708207043375228, -0.0761672870547589, 0.04669613867158192, -0.07957015353881658, -0.09047628470444094, -0.0062808164256128755, 0.32753167405863787, -0.20780786976139887, -0.26517545645806295, 0.15093415821524375, -0.27455152133392674, -0.14236045525970686, 0.18396541388775003, -0.05365763568519571, 0.09399677062772702, 0.021759886842952155, 0.08591350528333232, -0.10392817829639833, -0.219848015008355, 0.31852138373200023, 0.02715924512660218, 0.29348210588741663, 0.05987798060490706, 0.10027885485971434, -0.020395341026814322, -0.01177317813195497, 0.013443853244812133, -0.2043729599143126, 0.1287441962674939, 0.24548634094682253, 0.004356192775227338, 0.20469732192632195, -0.44998591838004154, -0.17725274051163153, 0.06829343756245206, 0.11592456173134323, 0.12644428072201314, 0.020486826263150532, -0.2522543896246423, 0.08867005796485067, -0.1388576736773808, -0.18308042786649872, -0.04665003117678739, -0.02735656660015338, 0.020187664067668615, -0.32835633869970515, 0.0943923319589834, 0.04073535823089149, 0.060802927571479405, -0.10096525401312197, -0.11432049325536763, 0.06322791412141975, 0.11240459273560582, 0.02558720361759068, -0.023831273224552935, 0.050373312651623633, -0.15119279286754536, -0.04519954511773921, 0.37416311428299015, -0.07025976616684695, -0.2442672318979123, 0.13815365883382472, -0.1476803689772942, -0.041588917605265556, 0.12080081655572072, 0.14873606897020172, 0.14656385835956467, -0.15500890397658207, 0.0946689236753568, -0.01597147081787132, 0.12112556247771761, 0.1260538892733438, 0.002298003367244083, 0.1235895556415144, 0.1245022103730067, 0.04803060693231141, 0.2008964519286267, -0.08517373575900777, -0.0412220010168363, -0.366750102272588, -0.1147596434886985, -0.17874744618050406, 0.02938627591900632, -0.0937355238096745, -0.19504192531561462, 0.32815700205408527, 0.14606209844350815, 0.14992602797938842, 0.06538698645460933, 0.3085996199085891, 0.2158880468847439, 0.012981935282385795, 0.056822172035332595, 0.22606130773375663, 0.1894978601237292, 0.10460798300054168, -0.22121102733224213, 0.07460878760484264, 0.14515362568547793] |
709.3737 | The chemical potential for the inhomogeneous electron liquid in terms of
its kinetic and potential parts with special consideration of the surface
pote ntial step and BCS-BEC crossover | The chemical potential $\mu$ of a many-body system is valuable since it
carries fingerprints of phase changes. Here, we summarize results for $\mu$ for
a thre e-dimensional electron liquid in terms of average kinetic and potential
energie s per particle. The difference between $\mu$ and the energy per
particle is fou nd to be exactly the electrostatic potential step at the
surface. We also prese nt calculations for an integrable one-dimensional
many-body system with delta f unction interactions, exhibiting a BCS-BEC
crossover. It is shown that in the B CS regime the chemical potential can be
expressed solely in terms of the ground -state energy per particle. A brief
discussion is also included of the strong c oupling BEC limit.
| cond-mat.str-el cond-mat.supr-con nucl-th | the chemical potential mu of a manybody system is valuable since it carries fingerprints of phase changes here we summarize results for mu for a thre edimensional electron liquid in terms of average kinetic and potential energie s per particle the difference between mu and the energy per particle is fou nd to be exactly the electrostatic potential step at the surface we also prese nt calculations for an integrable onedimensional manybody system with delta f unction interactions exhibiting a bcsbec crossover it is shown that in the b cs regime the chemical potential can be expressed solely in terms of the ground state energy per particle a brief discussion is also included of the strong c oupling bec limit | [['the', 'chemical', 'potential', 'mu', 'of', 'a', 'manybody', 'system', 'is', 'valuable', 'since', 'it', 'carries', 'fingerprints', 'of', 'phase', 'changes', 'here', 'we', 'summarize', 'results', 'for', 'mu', 'for', 'a', 'thre', 'edimensional', 'electron', 'liquid', 'in', 'terms', 'of', 'average', 'kinetic', 'and', 'potential', 'energie', 's', 'per', 'particle', 'the', 'difference', 'between', 'mu', 'and', 'the', 'energy', 'per', 'particle', 'is', 'fou', 'nd', 'to', 'be', 'exactly', 'the', 'electrostatic', 'potential', 'step', 'at', 'the', 'surface', 'we', 'also', 'prese', 'nt', 'calculations', 'for', 'an', 'integrable', 'onedimensional', 'manybody', 'system', 'with', 'delta', 'f', 'unction', 'interactions', 'exhibiting', 'a', 'bcsbec', 'crossover', 'it', 'is', 'shown', 'that', 'in', 'the', 'b', 'cs', 'regime', 'the', 'chemical', 'potential', 'can', 'be', 'expressed', 'solely', 'in', 'terms', 'of', 'the', 'ground', 'state', 'energy', 'per', 'particle', 'a', 'brief', 'discussion', 'is', 'also', 'included', 'of', 'the', 'strong', 'c', 'oupling', 'bec', 'limit']] | [-0.14397602884721072, 0.1771628764789882, -0.056713020002974214, 0.05383269546040874, 0.025396228326482605, -0.15500779227674508, 0.06663839084471912, 0.3072305160472874, -0.258802713931953, -0.2749136524165378, 0.002999815683882339, -0.32298897723315145, -0.1037144018317565, 0.15279009888641254, 0.034450655787431894, 0.008284078235933636, 0.0494270473875168, 0.06810630542547011, -0.07501413289481039, -0.21165264925152502, 0.2590535917405446, 0.07139668294410574, 0.2037892938168923, 0.14557228414263546, 0.07900976289470657, -0.006373211103608879, 0.06312286670656264, 0.006146376214905822, -0.1569922818441434, 0.025550472874455096, 0.2090279966076257, 0.021794967372909563, 0.23268176912635313, -0.3764748928536262, -0.2120214278707985, 0.11489275356112909, 0.1416631461191578, 0.11515935551912715, -0.04815660836957708, -0.263735745196082, 0.03446618594941409, -0.17366188757528528, -0.15098374982622742, -0.07357426337553423, 0.08578389299986493, 0.05179741437436363, -0.2856343803465554, 0.10981972351965706, 0.042891408749190826, 0.047712065267194154, -0.056967880130753296, -0.13717724627251698, -0.04067049000388747, 0.0823937703213584, 0.006018833517480423, 0.11067023673564383, 0.15924768408118678, -0.10820010837809253, -0.031948233603405915, 0.403227691280366, -0.11558643374944247, -0.1959437746945925, 0.18005153489545644, -0.15958296062675217, -0.091142946243787, 0.1614972474444814, 0.11361880914284651, 0.07345380719155348, -0.16137887947574384, 0.13607820831219658, -0.0008715860087800177, 0.18318019306239233, 0.028967618331814014, 0.06934884072774473, 0.23974875622710698, 0.18502443428973064, 0.04926132456156887, 0.09499565104194799, -0.11205533821480114, -0.10889309818441627, -0.32004462534702627, -0.19156645848454923, -0.22752207422143772, 0.04212840649635852, -0.054982651811349405, -0.12098119620056705, 0.39292210149148304, 0.09803483400008633, 0.14699144101067751, -0.023264853534202615, 0.22347458009803747, 0.16562645406924, 0.011885014148879046, 0.01994525018527697, 0.19728264208401733, 0.1237463667918341, 0.12394775808867098, -0.27586413646007285, 5.7667810782915404e-05, 0.05503258029656375] |
709.3738 | Thermodynamics of Large AdS Black Holes | We consider leading order quantum corrections to the geometry of large AdS
black holes in a spherical reduction of four-dimensional Einstein gravity with
negative cosmological constant. The Hawking temperature grows without bound
with increasing black hole mass, yet the semiclassical back-reaction on the
geometry is relatively mild, indicating that observers in free fall outside a
large AdS black hole never see thermal radiation at the Hawking temperature.
The positive specific heat of large AdS black holes is a statement about the
dual gauge theory rather than an observable property on the gravity side.
Implications for string thermodynamics with an AdS infrared regulator are
briefly discussed.
| hep-th gr-qc | we consider leading order quantum corrections to the geometry of large ads black holes in a spherical reduction of fourdimensional einstein gravity with negative cosmological constant the hawking temperature grows without bound with increasing black hole mass yet the semiclassical backreaction on the geometry is relatively mild indicating that observers in free fall outside a large ads black hole never see thermal radiation at the hawking temperature the positive specific heat of large ads black holes is a statement about the dual gauge theory rather than an observable property on the gravity side implications for string thermodynamics with an ads infrared regulator are briefly discussed | [['we', 'consider', 'leading', 'order', 'quantum', 'corrections', 'to', 'the', 'geometry', 'of', 'large', 'ads', 'black', 'holes', 'in', 'a', 'spherical', 'reduction', 'of', 'fourdimensional', 'einstein', 'gravity', 'with', 'negative', 'cosmological', 'constant', 'the', 'hawking', 'temperature', 'grows', 'without', 'bound', 'with', 'increasing', 'black', 'hole', 'mass', 'yet', 'the', 'semiclassical', 'backreaction', 'on', 'the', 'geometry', 'is', 'relatively', 'mild', 'indicating', 'that', 'observers', 'in', 'free', 'fall', 'outside', 'a', 'large', 'ads', 'black', 'hole', 'never', 'see', 'thermal', 'radiation', 'at', 'the', 'hawking', 'temperature', 'the', 'positive', 'specific', 'heat', 'of', 'large', 'ads', 'black', 'holes', 'is', 'a', 'statement', 'about', 'the', 'dual', 'gauge', 'theory', 'rather', 'than', 'an', 'observable', 'property', 'on', 'the', 'gravity', 'side', 'implications', 'for', 'string', 'thermodynamics', 'with', 'an', 'ads', 'infrared', 'regulator', 'are', 'briefly', 'discussed']] | [-0.14465535654287254, 0.18707685477926306, -0.08052312898493949, 0.17073026345322087, -0.11436520560334126, -0.18654086730398592, -0.0014002194262242743, 0.269803917017721, -0.12457640591476644, -0.2639261463302232, 0.11029874458243805, -0.360960323416761, -0.05953046878178914, 0.18588814936533926, -0.08893352841481655, -0.0032096904746833303, -0.051668026493418784, 0.10051010151038922, -0.11519869252640222, -0.2536821864855786, 0.3975863649509847, 0.16266913054222684, 0.2622298551545966, 0.06317943715978236, 0.08437846719863869, -0.01540624376253358, 0.011623425098756949, 0.0919911055071723, -0.18291697185659792, 0.01973658923525363, 0.19700820127147295, 0.07613366296780961, 0.21430085200173338, -0.4120322912576653, -0.25657801571346467, 0.06053977612006877, 0.11255441071199519, 0.22133936374669982, -0.13063266545622831, -0.23019195932540157, 0.04220962696708739, -0.21116910185221405, -0.16570224940799, 0.0003681040562999745, 0.06541324993151994, -0.14575165991804429, -0.14995580618048, 0.10524519561302094, 0.040705286232488494, -0.03230415350934934, -0.12713837763627192, -0.03683767955572832, -0.05894961947841304, 0.07394333746550338, 0.16528175660253813, 0.033304064354992335, 0.22315821650748452, -0.13435677002139745, -0.08461728850933944, 0.3315348595735573, -0.09002663528150325, -0.1781900320379507, 0.14908070259594491, -0.28596281760505265, -0.08003622644713947, 0.1306678615333069, 0.11886617788778885, 0.2069677225752024, -0.12589839717284554, 0.19864210812818436, 0.013805448946853479, 0.18626102714943477, 0.1571579353662119, 0.09646870671061887, 0.4152590003928968, 0.07590789283137946, 0.026489718666388874, 0.17597919071004503, 0.014169649451616265, -0.12420193993353418, -0.36793258198137796, -0.13877258117898322, -0.14969239731629688, 0.16948365241821323, -0.24177036293826643, -0.23434136992409116, 0.2145288107295831, 0.09487808943030403, 0.16489490360642473, 0.04770590861638387, 0.23787359152179088, 0.10297923695207352, 0.055915180081501606, 0.12148733178064937, 0.32419369893059846, 0.11154806818147855, 0.1655838733272893, -0.2903816680911751, -0.0985137481730254, 0.11424243965718363] |
709.3739 | Speckle noise reduction techniques for high-dynamic range imaging | High-dynamic range imaging from space in the visible, aiming in particular at
the detection of terrestrial exoplanets, necessitates not only the use of a
coronagraph, but also of adaptive optics to correct optical defects in real
time. Indeed, these defects scatter light and give birth to speckles in the
image plane. Speckles can be cancelled by driving a deformable mirror to
measure and compensate wavefront aberrations. In a first approach, targeted
speckle nulling, speckles are cancelled iteratively by starting with the
brightest ones. This first method has demonstrated a contrast better than 1e9
in laboratory. In a second approach, zonal speckle nulling, the total energy of
speckles is minimized in a given zone of the image plane. This second method
has the advantage to tackle simultaneously all speckles from the targeted zone,
but it still needs better experimental demonstration.
| astro-ph | highdynamic range imaging from space in the visible aiming in particular at the detection of terrestrial exoplanets necessitates not only the use of a coronagraph but also of adaptive optics to correct optical defects in real time indeed these defects scatter light and give birth to speckles in the image plane speckles can be cancelled by driving a deformable mirror to measure and compensate wavefront aberrations in a first approach targeted speckle nulling speckles are cancelled iteratively by starting with the brightest ones this first method has demonstrated a contrast better than 1e9 in laboratory in a second approach zonal speckle nulling the total energy of speckles is minimized in a given zone of the image plane this second method has the advantage to tackle simultaneously all speckles from the targeted zone but it still needs better experimental demonstration | [['highdynamic', 'range', 'imaging', 'from', 'space', 'in', 'the', 'visible', 'aiming', 'in', 'particular', 'at', 'the', 'detection', 'of', 'terrestrial', 'exoplanets', 'necessitates', 'not', 'only', 'the', 'use', 'of', 'a', 'coronagraph', 'but', 'also', 'of', 'adaptive', 'optics', 'to', 'correct', 'optical', 'defects', 'in', 'real', 'time', 'indeed', 'these', 'defects', 'scatter', 'light', 'and', 'give', 'birth', 'to', 'speckles', 'in', 'the', 'image', 'plane', 'speckles', 'can', 'be', 'cancelled', 'by', 'driving', 'a', 'deformable', 'mirror', 'to', 'measure', 'and', 'compensate', 'wavefront', 'aberrations', 'in', 'a', 'first', 'approach', 'targeted', 'speckle', 'nulling', 'speckles', 'are', 'cancelled', 'iteratively', 'by', 'starting', 'with', 'the', 'brightest', 'ones', 'this', 'first', 'method', 'has', 'demonstrated', 'a', 'contrast', 'better', 'than', '1e9', 'in', 'laboratory', 'in', 'a', 'second', 'approach', 'zonal', 'speckle', 'nulling', 'the', 'total', 'energy', 'of', 'speckles', 'is', 'minimized', 'in', 'a', 'given', 'zone', 'of', 'the', 'image', 'plane', 'this', 'second', 'method', 'has', 'the', 'advantage', 'to', 'tackle', 'simultaneously', 'all', 'speckles', 'from', 'the', 'targeted', 'zone', 'but', 'it', 'still', 'needs', 'better', 'experimental', 'demonstration']] | [-0.09079208575095311, 0.1357529694490845, -0.11092739431656522, 0.059541290836147426, -0.05905313328873339, -0.09965794399487886, 0.04396721465419308, 0.4169552861545369, -0.2479742113802341, -0.34064669354999666, 0.10061147856767283, -0.24018347363168602, -0.1794409868072906, 0.2016325350247806, -0.15592332435905826, 0.06571019424808969, 0.08006982150882912, -0.03684227646281608, -0.02898152466325706, -0.2508593339258604, 0.24959423064033118, 0.09524425480635368, 0.2227297832103942, -0.027990517916707255, 0.09614925907938171, 0.02078220801153254, -0.06794635827230999, -0.0159313195896345, -0.06001749579466397, 0.0596941436775759, 0.28064665092966057, 0.08228611366876917, 0.25599419790246397, -0.39567651807685655, -0.23594038812577617, 0.11016229451332482, 0.1799084962305459, 0.12073370719181119, -0.0621835594836006, -0.2991369346863583, 0.05210893595148977, -0.07455555448750797, -0.13621276190249826, -0.0412118971890522, -0.038369193545830765, 0.002080436315213283, -0.25929121989354814, 0.020358312531439722, 0.03418715486450375, 0.09038900377282458, -0.05176106183253657, -0.05681467893208451, -0.005871950923431691, 0.1290846415711634, -0.02120275088090101, 0.08038399569194415, 0.11110303875246494, -0.15346830615291385, -0.043892395414626424, 0.4333072075312086, -0.02625171607245085, -0.13401884624479915, 0.13141235101485638, -0.23801166213305144, -0.06394185408239635, 0.24556622163370828, 0.19169271167823307, 0.13648432180312253, -0.16109686264460035, -0.01084672342801614, 0.026140439939448985, 0.2012626223614533, 0.14005079278856408, 0.04029803156933124, 0.26126558208342293, 0.17608263886788283, 0.11634839512742788, 0.13862973615852112, -0.21897527520551527, -0.0059878683982755344, -0.2475429343347766, -0.11187758347984376, -0.20998127058587246, -0.03979826056079775, -0.05094555757748023, -0.10972084318498726, 0.36727012094552464, 0.21887224463397542, 0.1335912875700474, 0.022494643421595743, 0.42533092913653353, 0.07050973158195722, 0.14391755129515507, 0.01794434968958334, 0.3087292794915412, 0.10164665491755703, 0.13323699983788265, -0.1992463237181366, 0.04160630768969012, 0.02590327910918126] |
709.374 | Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice | We show that the dynamics of cold bosonic atoms in a two-dimensional square
optical lattice produced by a bichromatic light-shift potential is described by
a Bose-Hubbard model with an additional effective staggered magnetic field. In
addition to the known uniform superfluid and Mott insulating phases, the
zero-temperature phase diagram exhibits a novel kind of finite-momentum
superfluid phase, characterized by a quantized staggered rotational flux. An
extension for fermionic atoms leads to an anisotropic Dirac spectrum, which is
relevant to graphene and high-$T_c$ superconductors.
| cond-mat.quant-gas cond-mat.other cond-mat.supr-con | we show that the dynamics of cold bosonic atoms in a twodimensional square optical lattice produced by a bichromatic lightshift potential is described by a bosehubbard model with an additional effective staggered magnetic field in addition to the known uniform superfluid and mott insulating phases the zerotemperature phase diagram exhibits a novel kind of finitemomentum superfluid phase characterized by a quantized staggered rotational flux an extension for fermionic atoms leads to an anisotropic dirac spectrum which is relevant to graphene and hight_c superconductors | [['we', 'show', 'that', 'the', 'dynamics', 'of', 'cold', 'bosonic', 'atoms', 'in', 'a', 'twodimensional', 'square', 'optical', 'lattice', 'produced', 'by', 'a', 'bichromatic', 'lightshift', 'potential', 'is', 'described', 'by', 'a', 'bosehubbard', 'model', 'with', 'an', 'additional', 'effective', 'staggered', 'magnetic', 'field', 'in', 'addition', 'to', 'the', 'known', 'uniform', 'superfluid', 'and', 'mott', 'insulating', 'phases', 'the', 'zerotemperature', 'phase', 'diagram', 'exhibits', 'a', 'novel', 'kind', 'of', 'finitemomentum', 'superfluid', 'phase', 'characterized', 'by', 'a', 'quantized', 'staggered', 'rotational', 'flux', 'an', 'extension', 'for', 'fermionic', 'atoms', 'leads', 'to', 'an', 'anisotropic', 'dirac', 'spectrum', 'which', 'is', 'relevant', 'to', 'graphene', 'and', 'hight_c', 'superconductors']] | [-0.20787815264908663, 0.323569335985097, -0.03770056609569274, 0.011289197101583144, -0.02573745386921857, -0.18369365398244686, 0.08523779435795788, 0.3892698606184448, -0.22812029404049539, -0.22444199612651705, -0.04464132682397872, -0.27832052524549417, -0.1329659549631627, 0.11483515337031021, 0.03096575944415148, 0.018024573820721673, -0.06455341224973819, -0.022084980451288712, -0.12849006774633315, -0.2271296384194529, 0.2826813370640199, -0.012907585538699326, 0.29947182114224835, 0.051778938870944355, 0.039177098664937605, -0.015586420346657375, 0.1349128624312131, 0.014361993735095105, -0.15442794207695673, 0.03556376999715365, 0.20131901014282041, -0.1642750124615359, 0.12488222364560668, -0.43795297382376996, -0.26331093720530707, 0.0520415300158335, 0.18381993707089897, 0.18661402722859913, -0.09060569165880422, -0.33443930520709736, -0.06374894999983126, -0.20183687293565417, -0.19879682270069438, -0.15343430967081384, -0.022044122666513257, -0.027537002374070238, -0.2920468944848616, 0.09114552245311248, 0.06016463588667944, 0.11478874588059823, -0.08197618287311957, -0.07975115867735572, -0.05253399575286242, -0.029187948832916748, -0.023470322330796486, 0.10912957163078778, 0.08116002766841865, -0.18754704350448517, -0.10680803558396468, 0.422185255943921, -0.11703775110598429, -0.0854211645088641, 0.14243557151541653, -0.0973767740008525, -0.028247520843722736, 0.19458070541002664, 0.06507448718535254, 0.029756239827172494, -0.14871634847024479, 0.08231165658281793, -0.09857733245288212, 0.19367968404934888, -0.022372199848002518, 0.0720433625841446, 0.3311292720756617, 0.18836644731170263, 0.0670469015589859, 0.23239683800837002, -0.11126135250396398, -0.13231961801087103, -0.23254584763423505, -0.1432763952200851, -0.27595932731763967, 0.036670827933766664, -0.05496742422040271, -0.23997342040627656, 0.4192215673266405, 0.1161254364141566, 0.15477838108024325, -0.1191720002799306, 0.2597773025732443, 0.14727123332467962, 0.01631673668645861, 0.023601715267826635, 0.215928635245795, 0.1914169034073466, 0.10461701542498117, -0.32203256903238686, -0.0856471634301615, 0.11776898449135338] |
709.3741 | On O^*-representability and C^*-representability of *-algebras | Characterization of the *-subalgebras in the algebra of bounded operators
acting on Hilbert space is presented. Sufficient conditions for the existence
of a faithful representation in pre-Hilbert space of a *-algebra in terms of
its Groebner basis are given. These conditions are generalization of the
unshrinkability of monomial *-algebras introduced by C. Lance and P. Tapper.
The applications to *-doubles, monomial *-algebras and several other classes of
*-algebras are presented.
| math.OA math.RT | characterization of the subalgebras in the algebra of bounded operators acting on hilbert space is presented sufficient conditions for the existence of a faithful representation in prehilbert space of a algebra in terms of its groebner basis are given these conditions are generalization of the unshrinkability of monomial algebras introduced by c lance and p tapper the applications to doubles monomial algebras and several other classes of algebras are presented | [['characterization', 'of', 'the', 'subalgebras', 'in', 'the', 'algebra', 'of', 'bounded', 'operators', 'acting', 'on', 'hilbert', 'space', 'is', 'presented', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'a', 'faithful', 'representation', 'in', 'prehilbert', 'space', 'of', 'a', 'algebra', 'in', 'terms', 'of', 'its', 'groebner', 'basis', 'are', 'given', 'these', 'conditions', 'are', 'generalization', 'of', 'the', 'unshrinkability', 'of', 'monomial', 'algebras', 'introduced', 'by', 'c', 'lance', 'and', 'p', 'tapper', 'the', 'applications', 'to', 'doubles', 'monomial', 'algebras', 'and', 'several', 'other', 'classes', 'of', 'algebras', 'are', 'presented']] | [-0.17252058615250623, 0.07670033973066465, -0.02860546323662514, 0.036503696637844446, -0.09478738717392415, -0.09574168215861872, -0.07412485788603697, 0.3259564311353161, -0.337364105069462, -0.19138160282198122, 0.1670450929651612, -0.21129764652098804, -0.11649280841297963, 0.2409331623451127, -0.15407635887865634, 0.0035112327476621, 0.0856535317896701, 0.11258543436141576, -0.15722869366736097, -0.3247437445063363, 0.43654445234193084, -0.0007590525201521814, 0.2101014069014448, 0.003226596916861394, 0.10025220575934167, -0.005893111715148038, -0.062498941945651657, -0.03135489697160665, -0.15335341686766377, 0.1617798148517442, 0.30292913550511, 0.15096846890553614, 0.2431743833619882, -0.37127871501862125, -0.07008432566790897, 0.1966283848262666, 0.11579300470732372, -0.004933716304709806, -0.01226049174917588, -0.27750990840414647, 0.056955753250376266, -0.19867522313314326, -0.13642010344055427, -0.13728421336204252, 0.1098933700910386, 0.018795594545629096, -0.30432817196089995, 0.001714282443144304, 0.10622262568486963, 0.16873008663434816, -0.14443604597267146, -0.10948738274986253, -0.1195226740297478, 0.0471810154575745, -0.13380592526279061, -0.0075160212445018046, 0.0919092943179695, -0.09914698499693152, -0.18665671992964825, 0.38463144256349874, 0.014478447149432375, -0.26676453239120107, 0.1636492805880741, -0.20699647032683166, -0.1453704084338182, 0.07161176747039837, 0.06213412810500492, 0.1248168143142453, -0.06050210363943787, 0.2135081409514361, -0.12943509720978053, -0.051446561270174294, 0.08873764905558132, 0.10091643999604617, 0.08037917641238035, 0.09589821975832284, 0.05603031423079836, 0.14511285937367255, 0.09837803779074046, -0.01684342966045198, -0.40188329661374583, -0.19220284654704087, -0.11911505573045682, 0.022960062481134254, -0.09582328690200537, -0.1866568000987172, 0.4480334576082361, 0.09844038075329188, 0.1581772454904721, 0.06040610336897183, 0.16617050870006686, 0.08350556732330006, 0.118965184673845, 0.014858109095846029, 0.1278782177798669, 0.28655892156187773, -0.00219743511886062, -0.12690761653357185, -0.010185100374442032, 0.22939518987785798] |
709.3742 | Leptonic decays of the eta meson with the WASA detector at CELSIUS | Decay channels of the eta meson with at least one lepton pair in the final
state are discussed. Preliminary results on electron-positron pair production
from the pd->He eta reaction from the WASA experiment at CELSIUS are presented.
| hep-ex | decay channels of the eta meson with at least one lepton pair in the final state are discussed preliminary results on electronpositron pair production from the pdhe eta reaction from the wasa experiment at celsius are presented | [['decay', 'channels', 'of', 'the', 'eta', 'meson', 'with', 'at', 'least', 'one', 'lepton', 'pair', 'in', 'the', 'final', 'state', 'are', 'discussed', 'preliminary', 'results', 'on', 'electronpositron', 'pair', 'production', 'from', 'the', 'pdhe', 'eta', 'reaction', 'from', 'the', 'wasa', 'experiment', 'at', 'celsius', 'are', 'presented']] | [-0.0729336056069264, 0.2846334539483198, -0.07482909445550628, 0.04935528684614433, 0.0700608315334345, -0.18286182990090716, 0.02685264536800484, 0.30737761459830737, -0.18980411171085304, -0.21336360793146822, -0.04596764191713495, -0.4503094291883624, 0.08697584998379979, 0.18366749972725907, 0.16792491280163327, 0.12468955003552967, 0.18956042885676855, 0.1099726667550082, 0.009410236198972497, -0.2248880775231454, 0.34329758915636277, 0.0965557528866662, 0.1877861157990992, 0.11477719123164813, 0.05013748620533281, 0.02394276934986313, -0.07817684379632636, -0.14796120394021273, -0.11535720951441261, -0.017450823047612276, 0.2358910539187491, 0.09401252035362025, 0.06682437733333144, -0.3493540266321765, -0.04373329316472842, 0.09012030738328274, 0.0903322746615029, 0.07392175905665176, -0.0783211351016588, -0.32441944380601245, 0.16026490898285475, -0.19092201278544962, -0.07659448380582035, 0.02121749352146354, -0.018692078767344356, -0.023190137412812974, -0.3415006074226565, 0.06059505758134441, -0.09327425095640744, 0.05286686350720831, -0.01929325788255988, -0.3044853159226477, -0.05708569813416236, 0.0045241475519206785, 0.11889337378347085, 0.1002533168106715, 0.18057381568683517, -0.13231705610329905, -0.19332639231450027, 0.3320025080659737, -0.025249346081788342, -0.16435610306345755, 0.17878087573788232, -0.2526269538793713, -0.13000074554131263, 0.23010959936719802, 0.24788283926641774, 0.06766098546278146, -0.18411212476591268, 0.0012549921973711914, -0.01810771169968777, 0.10948115022620186, 0.13359675680597624, 0.051109233373103455, 0.18880948847314963, 0.23234386845595306, -0.05042655445221397, 0.11111398737799998, -0.1113691311264928, -0.08447903363655011, -0.5157187986705039, -0.1415768696460873, -0.08330854566560851, 0.05868377464099063, 0.010049434120042456, 0.06429920624941587, 0.3588189572199351, -0.02941497705048985, 0.2842931898517741, -0.058619090640503496, 0.2933511539465851, 0.079726087472712, 0.011607779164074196, 0.06836215349742109, 0.3462147896902429, 0.16248013167124656, 0.1908554340997297, -0.27124699203866637, 0.04555819433234218, 0.042288874541150615] |
709.3743 | Slit and integral-field optical spectroscopy of the enigmatic quasar
HE0450-2958 | Interest in the quasar HE0450-2958 arose following the publication of the
non-detection of its expected massive host, leading to various interpretations.
This article investigates the gaseous and stellar contents of the system
through additional VLT/FORS slit spectra and integral field spectroscopy from
VLT/VIMOS. We apply our MCS deconvolution algorithm on slit spectra for the
separation of the QSO and diffuse components, and develop a new method to
remove the point sources in Integral Field Spectra, allowing extraction of
velocity maps, narrow-line images, spatially resolved spectra or ionization
diagrams of the surroundings of HE0450-2958. The whole system is embedded in
gas, mostly ionized by the QSO radiation field and shocks associated with radio
jets. The observed gas and star dynamics are unrelated, revealing a strongly
perturbed system. Despite longer spectroscopic observations, the host galaxy
remains undetected.
| astro-ph | interest in the quasar he04502958 arose following the publication of the nondetection of its expected massive host leading to various interpretations this article investigates the gaseous and stellar contents of the system through additional vltfors slit spectra and integral field spectroscopy from vltvimos we apply our mcs deconvolution algorithm on slit spectra for the separation of the qso and diffuse components and develop a new method to remove the point sources in integral field spectra allowing extraction of velocity maps narrowline images spatially resolved spectra or ionization diagrams of the surroundings of he04502958 the whole system is embedded in gas mostly ionized by the qso radiation field and shocks associated with radio jets the observed gas and star dynamics are unrelated revealing a strongly perturbed system despite longer spectroscopic observations the host galaxy remains undetected | [['interest', 'in', 'the', 'quasar', 'he04502958', 'arose', 'following', 'the', 'publication', 'of', 'the', 'nondetection', 'of', 'its', 'expected', 'massive', 'host', 'leading', 'to', 'various', 'interpretations', 'this', 'article', 'investigates', 'the', 'gaseous', 'and', 'stellar', 'contents', 'of', 'the', 'system', 'through', 'additional', 'vltfors', 'slit', 'spectra', 'and', 'integral', 'field', 'spectroscopy', 'from', 'vltvimos', 'we', 'apply', 'our', 'mcs', 'deconvolution', 'algorithm', 'on', 'slit', 'spectra', 'for', 'the', 'separation', 'of', 'the', 'qso', 'and', 'diffuse', 'components', 'and', 'develop', 'a', 'new', 'method', 'to', 'remove', 'the', 'point', 'sources', 'in', 'integral', 'field', 'spectra', 'allowing', 'extraction', 'of', 'velocity', 'maps', 'narrowline', 'images', 'spatially', 'resolved', 'spectra', 'or', 'ionization', 'diagrams', 'of', 'the', 'surroundings', 'of', 'he04502958', 'the', 'whole', 'system', 'is', 'embedded', 'in', 'gas', 'mostly', 'ionized', 'by', 'the', 'qso', 'radiation', 'field', 'and', 'shocks', 'associated', 'with', 'radio', 'jets', 'the', 'observed', 'gas', 'and', 'star', 'dynamics', 'are', 'unrelated', 'revealing', 'a', 'strongly', 'perturbed', 'system', 'despite', 'longer', 'spectroscopic', 'observations', 'the', 'host', 'galaxy', 'remains', 'undetected']] | [-0.09827111617368818, 0.046153000949157606, -0.07227413892676984, 0.0691227475181222, -0.08456032614879035, -0.09008173481043842, 0.011361118599220559, 0.43726501057821293, -0.20425882823075409, -0.32875732746044245, 0.06495687096914346, -0.30191134761467026, -0.03157780792874595, 0.16363398153809142, -0.024053720048525268, -0.04003114116041818, 0.06934427944598374, -0.10709040641819162, -0.014773557179917891, -0.23161940405369494, 0.3562782795470277, 0.0857983047073638, 0.15904008416562446, -0.02955748284649518, 0.1010153494430361, -0.025450530170497518, -0.14933087562590286, -0.012794572117531464, -0.12267709091754148, 0.08687585207538817, 0.2042224661188407, 0.12823037435473114, 0.21041828290660675, -0.3511286611220351, -0.22080768764156986, 0.037401492286611486, 0.22533657916269645, 0.05124968361385442, -0.06438191830853207, -0.32285338990666246, -0.0038054728966758207, -0.14046982013516957, -0.17209900717975365, 0.05257475495476414, -0.01648222813555212, 0.03776738258009708, -0.17667015295268762, 0.11938987751405135, 0.005741949048307207, 0.09729179594044884, -0.14898492160718887, -0.04348779815093925, -0.030448273989302967, 0.09892881604911828, 0.01558583563849054, 0.05179121535340393, 0.20779053020739444, -0.16684040164885422, -0.03430172729616364, 0.39265070695568016, -0.06449169578134185, -0.016445798840787677, 0.2549496281215128, -0.23694230177681203, -0.1699079777562508, 0.23139811009168626, 0.15065458907607804, 0.1165400291167855, -0.1784521287565844, 0.01434906076864098, -0.03222653271492432, 0.20096977627254092, 0.01776247675082198, 0.09098444241454773, 0.31821911032484085, 0.07065278783233629, 0.007327457271997075, 0.14258751368357075, -0.2366161742890081, -0.01995964108241929, -0.2235565234641803, -0.12738506130451613, -0.13732491476737238, 0.07763214088476228, -0.0671641172524283, -0.15000912148863318, 0.3637306361976597, 0.12174920216892604, 0.18956224370846972, -0.010216984120025127, 0.35378583495815596, 0.08303355619880474, 0.07215024778205488, 0.08089276313850725, 0.268037671416446, 0.21453360848439237, 0.13752932275679927, -0.23595492365701054, 0.024337477402554618, 0.014380119758209697] |
709.3744 | Combined Electroweak Analysis | Recent developments in the measurement of precision electroweak measurements
are summarised, notably new results on the mass of the top quark and mass and
width of the W boson. Predictions of the Standard Model are compared to the
experimental results which are used to constrain the input parameters of the
Standard Model, in particular the mass of the Higgs boson. The agreement
between measurements and expectations from theory is discussed.
Invited talk presented at the EPS HEP 2007 conference
Manchester, England, July 19th to 25th, 2007
| hep-ph hep-ex | recent developments in the measurement of precision electroweak measurements are summarised notably new results on the mass of the top quark and mass and width of the w boson predictions of the standard model are compared to the experimental results which are used to constrain the input parameters of the standard model in particular the mass of the higgs boson the agreement between measurements and expectations from theory is discussed invited talk presented at the eps hep 2007 conference manchester england july 19th to 25th 2007 | [['recent', 'developments', 'in', 'the', 'measurement', 'of', 'precision', 'electroweak', 'measurements', 'are', 'summarised', 'notably', 'new', 'results', 'on', 'the', 'mass', 'of', 'the', 'top', 'quark', 'and', 'mass', 'and', 'width', 'of', 'the', 'w', 'boson', 'predictions', 'of', 'the', 'standard', 'model', 'are', 'compared', 'to', 'the', 'experimental', 'results', 'which', 'are', 'used', 'to', 'constrain', 'the', 'input', 'parameters', 'of', 'the', 'standard', 'model', 'in', 'particular', 'the', 'mass', 'of', 'the', 'higgs', 'boson', 'the', 'agreement', 'between', 'measurements', 'and', 'expectations', 'from', 'theory', 'is', 'discussed', 'invited', 'talk', 'presented', 'at', 'the', 'eps', 'hep', '2007', 'conference', 'manchester', 'england', 'july', '19th', 'to', '25th', '2007']] | [-0.016993294053082895, 0.17089584912714917, -0.0618682989774835, 0.0711870908934818, -0.05770858494175035, -0.12268991511163496, 0.039761206442436074, 0.29966847401458857, -0.17319867422067842, -0.39516814131029815, 0.08681261163410665, -0.32011485882753205, -0.03308266418076358, 0.21718026682474587, -0.052381668229002594, 0.10300581649942107, 0.15355240860629046, 0.034739020591883295, -0.07116028233322987, -0.32271215463663605, 0.24916146739472655, 0.12008895069837223, 0.26519417353949054, 0.07818032957635127, 0.04578271130273162, 0.01262773190040228, -0.15004358063776826, -0.08369859102247067, -0.1695840811941686, 0.11746277141406439, 0.1939315123904529, 0.07806154402638894, 0.15413508444028193, -0.3442373302396993, -0.1038508097300046, 0.01705295377042751, 0.02890997952889911, 0.0652516553067429, -0.050194843716886935, -0.33517302425448287, 0.04402868376962223, -0.20811256960164323, -0.11517235380055946, 0.030146528668918236, -0.018432873014230713, -0.01247468164060698, -0.2795395174085401, 0.08560962346788539, -0.03520558963984598, 0.053175145478615925, -0.0056201765627795185, -0.2155970473622167, -0.06806050264547298, 0.07509952830150723, 0.0993227066937834, 0.07938859576012852, 0.13176475940163918, -0.16094312958722545, -0.19945666187464497, 0.3952460272324293, -0.0750411273478422, -0.05765602984844685, 0.18733161883861865, -0.1991377028658293, -0.1634799052614632, 0.05675295556267334, 0.25469623732672964, 0.018522052971516236, -0.16469844363543185, 0.14941022751736455, -0.046481163111017194, 0.1830192871965728, 0.04525678081784484, 0.003997935068053816, 0.22629862402154263, 0.1782616820842651, -0.10453076888049065, -0.009201959755574895, -0.09974685805947195, -0.1370292569315711, -0.39211400492160126, -0.10732505678978943, -0.08848727776040864, -0.046376274487133634, -0.018722042523434138, -0.07459779930582573, 0.4173276872200848, 0.18907376309466917, 0.2217376726939408, 0.000945367721764934, 0.26946986752540564, 0.10618505924723523, 0.029804645301124384, 0.03605412056691251, 0.349048541718011, 0.2014805646017627, 0.18923668406882085, -0.1700811782597326, 0.010008404779973504, 0.08501111034054828] |
709.3745 | Remarks on "Resolving isospectral `drums' by counting nodal domains" | In [3] the authors studied the 4-parameter family of isospectral flat 4-tori
T^\pm(a,b,c,d) discovered by Conway and Sloane. With a particular method of
counting nodal domains they were able to distinguish these tori (numerically)
by computing the corresponding nodal sequences relative to a few explicit
tuples (a,b,c,d). In this note we confirm the expectation expressed in [3] by
proving analytically that their nodal count distinguishes any 4-tuple of
distinct positive real numbers.
| math.SP math-ph math.MP | in 3 the authors studied the 4parameter family of isospectral flat 4tori tpmabcd discovered by conway and sloane with a particular method of counting nodal domains they were able to distinguish these tori numerically by computing the corresponding nodal sequences relative to a few explicit tuples abcd in this note we confirm the expectation expressed in 3 by proving analytically that their nodal count distinguishes any 4tuple of distinct positive real numbers | [['in', '3', 'the', 'authors', 'studied', 'the', '4parameter', 'family', 'of', 'isospectral', 'flat', '4tori', 'tpmabcd', 'discovered', 'by', 'conway', 'and', 'sloane', 'with', 'a', 'particular', 'method', 'of', 'counting', 'nodal', 'domains', 'they', 'were', 'able', 'to', 'distinguish', 'these', 'tori', 'numerically', 'by', 'computing', 'the', 'corresponding', 'nodal', 'sequences', 'relative', 'to', 'a', 'few', 'explicit', 'tuples', 'abcd', 'in', 'this', 'note', 'we', 'confirm', 'the', 'expectation', 'expressed', 'in', '3', 'by', 'proving', 'analytically', 'that', 'their', 'nodal', 'count', 'distinguishes', 'any', '4tuple', 'of', 'distinct', 'positive', 'real', 'numbers']] | [-0.19054309690607266, 0.09762779504723165, -0.009233867690544312, 0.11427931005338496, -0.04664430874203083, -0.16927583463831056, 0.05098755962648232, 0.33963860830285547, -0.2528735085892242, -0.3215989075112485, 0.06978141383471256, -0.28621177150848204, -0.17948822924395053, 0.1946182081961191, -0.11304694202951562, 0.05314527852067225, 0.005381889354345769, 0.04593192967651805, -0.09392522434002235, -0.3146898744260551, 0.3745830132540735, -0.08951122467865197, 0.19180766159904675, 0.012588703283436701, 0.07004315944217986, -0.019908198174728657, -0.05294059952852172, 0.03958618631061744, -0.17256458560515173, 0.17635617453709873, 0.27861695033563694, 0.08831067295403967, 0.2047472991915026, -0.3436153881304281, -0.13214586782728283, 0.17076194278476103, 0.19230950096438468, 0.058409143908237905, -0.018834534966924662, -0.2806480417133007, 0.11231105854656075, -0.15866794672624115, -0.17476373349978838, -0.11878752617926246, 0.054386296466937364, 0.06819556844601093, -0.17408398739521352, 0.032150311697221975, 0.06695417679149844, 0.0991484642055043, -0.023115652683027035, -0.09633429318299176, -0.04908422627945391, 0.09690580123537024, 0.0202761381738192, -0.026743978428372353, 0.002623269124559953, -0.02354093945690129, -0.17949563525879467, 0.31325801675991666, -0.029790254113015155, -0.22683796175086582, 0.14560391940176487, -0.18036692707576382, -0.1378208044654047, 0.16546766486176304, 0.07188950338020501, 0.15065285563468933, -0.08740280687638467, 0.10038493056109332, -0.13627319146787198, 0.09649634861689009, 0.18690146323503323, -0.05358506806693237, 0.17728856514194902, 0.004376107220157561, 0.0123192573385969, 0.13791998104572717, -0.022041644756747802, -0.08336143009364605, -0.29149459040081, -0.14996178889594658, -0.2153304575771933, 0.0657195497474725, -0.08812436354194905, -0.1774701534993422, 0.41669793017733264, 0.0728377961540516, 0.21577874388755627, 0.08659659499223803, 0.1938258570054887, 0.10031907059724482, 0.056942211403380294, 0.09658440173616711, 0.1677625002732999, 0.12634931466358543, 0.04578445014924231, -0.1701877578883104, 0.008062993963314613, 0.10913609739550402] |
709.3746 | The enigma of the oldest `nova': the central star and nebula of CK Vul | CK Vul is classified as, amongst others, the slowest known nova, a
hibernating nova, or a very late thermal pulse object. Following its eruption
in AD 1670, the star remained visible for 2 years. A 15-arcsec nebula was
discovered in the 1980's, but the star itself has not been detected since the
eruption. We here present radio images which reveal an 0.1-arcsec radio source
with a flux of 1.5 mJy at 5 GHz. Deep Halpha images show a bipolar nebula with
a longest extension of 70 arcsec, with the previously known compact nebula at
its waist. The emission-line ratios show that the gas is shock-ionized, at
velocities >100 km/s. Dust emission yields an envelope mass of ~0.05 Msun.
Echelle spectra indicate outflow velocities up to 360 km/s. From a comparison
of images obtained in 1991 and 2004 we find evidence for expansion of the
nebula, consistent with an origin in the 1670 explosion; the measured expansion
is centred on the radio source. No optical or infrared counterpart is found at
the position of the radio source. The radio emission is interpreted as thermal
free-free emission from gas with Tel ~ 10000 K. The radio source may be due to
a remnant circumbinary disk, similar to those seen in some binary post-AGB
stars. We discuss possible classifications of this unique outburst, including
that of a sub-Chandrasekhar mass supernova, a nova eruption on a cool, low-mass
white dwarf, or a thermal pulse induced by accretion from a circumbinary disk.
| astro-ph | ck vul is classified as amongst others the slowest known nova a hibernating nova or a very late thermal pulse object following its eruption in ad 1670 the star remained visible for 2 years a 15arcsec nebula was discovered in the 1980s but the star itself has not been detected since the eruption we here present radio images which reveal an 01arcsec radio source with a flux of 15 mjy at 5 ghz deep halpha images show a bipolar nebula with a longest extension of 70 arcsec with the previously known compact nebula at its waist the emissionline ratios show that the gas is shockionized at velocities 100 kms dust emission yields an envelope mass of 005 msun echelle spectra indicate outflow velocities up to 360 kms from a comparison of images obtained in 1991 and 2004 we find evidence for expansion of the nebula consistent with an origin in the 1670 explosion the measured expansion is centred on the radio source no optical or infrared counterpart is found at the position of the radio source the radio emission is interpreted as thermal freefree emission from gas with tel 10000 k the radio source may be due to a remnant circumbinary disk similar to those seen in some binary postagb stars we discuss possible classifications of this unique outburst including that of a subchandrasekhar mass supernova a nova eruption on a cool lowmass white dwarf or a thermal pulse induced by accretion from a circumbinary disk | [['ck', 'vul', 'is', 'classified', 'as', 'amongst', 'others', 'the', 'slowest', 'known', 'nova', 'a', 'hibernating', 'nova', 'or', 'a', 'very', 'late', 'thermal', 'pulse', 'object', 'following', 'its', 'eruption', 'in', 'ad', '1670', 'the', 'star', 'remained', 'visible', 'for', '2', 'years', 'a', '15arcsec', 'nebula', 'was', 'discovered', 'in', 'the', '1980s', 'but', 'the', 'star', 'itself', 'has', 'not', 'been', 'detected', 'since', 'the', 'eruption', 'we', 'here', 'present', 'radio', 'images', 'which', 'reveal', 'an', '01arcsec', 'radio', 'source', 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709.3747 | M31 Transverse Velocity and Local Group Mass from Satellite Kinematics | We present several different statistical methods to determine the transverse
velocity vector of M31. The underlying assumptions are that the M31 satellites
on average follow the motion of M31 through space, and that the galaxies in the
outer parts of the Local Group on average follow the motion of the Local Group
barycenter through space. We apply the methods to the line-of-sight velocities
of 17 M31 satellites, to the proper motions of the 2 satellites M33 and IC 10,
and to the line-of-sight velocities of 5 galaxies near the Local Group turn
around radius, respectively. This yields 4 independent but mutually consistent
determinations of the heliocentric M31 transverse velocities in the West and
North directions, with weighted averages <v_W> = -78+/-41 km/s and <v_N> =
-38+/-34 km/s. The Galactocentric tangential velocity of M31 is 42 km/s, with
1-sigma confidence interval V_tan <= 56 km/s. The implied M31-Milky Way orbit
is bound if the total Local Group mass M exceeds 1.72^{+0.26}_{-0.25}x10^{12}
solar masses. If indeed bound, then the timing argument combined with the known
age of the Universe implies that M = 5.58^{+0.85}_{-0.72}x10^{12} solar masses.
This is on the high end of the allowed mass range suggested by cosmologically
motivated models for the individual structure and dynamics of M31 and the Milky
Way, respectively. It is therefore possible that the timing mass is an
overestimate of the true mass, especially if one takes into account recent
results from the Millennium Simulation that show that there is also a
theoretical uncertainty of 41 percent (Gaussian dispersion) in timing mass
estimates. The M31 transverse velocity implies that M33 is in a tightly bound
orbit around M31. This may have led to some tidal deformation of M33. It will
be worthwhile to search for observational evidence of this.
| astro-ph | we present several different statistical methods to determine the transverse velocity vector of m31 the underlying assumptions are that the m31 satellites on average follow the motion of m31 through space and that the galaxies in the outer parts of the local group on average follow the motion of the local group barycenter through space we apply the methods to the lineofsight velocities of 17 m31 satellites to the proper motions of the 2 satellites m33 and ic 10 and to the lineofsight velocities of 5 galaxies near the local group turn around radius respectively this yields 4 independent but mutually consistent determinations of the heliocentric m31 transverse velocities in the west and north directions with weighted averages v_w 7841 kms and v_n 3834 kms the galactocentric tangential velocity of m31 is 42 kms with 1sigma confidence interval v_tan 56 kms the implied m31milky way orbit is bound if the total local group mass m exceeds 172026_025x1012 solar masses if indeed bound then the timing argument combined with the known age of the universe implies that m 558085_072x1012 solar masses this is on the high end of the allowed mass range suggested by cosmologically motivated models for the individual structure and dynamics of m31 and the milky way respectively it is therefore possible that the timing mass is an overestimate of the true mass especially if one takes into account recent results from the millennium simulation that show that there is also a theoretical uncertainty of 41 percent gaussian dispersion in timing mass estimates the m31 transverse velocity implies that m33 is in a tightly bound orbit around m31 this may have led to some tidal deformation of m33 it will be worthwhile to search for observational evidence of this | [['we', 'present', 'several', 'different', 'statistical', 'methods', 'to', 'determine', 'the', 'transverse', 'velocity', 'vector', 'of', 'm31', 'the', 'underlying', 'assumptions', 'are', 'that', 'the', 'm31', 'satellites', 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709.3748 | The nature of hypervelocity stars as inferred from their galactic
trajectories | We have computed the galactic trajectories of twelve hypervelocity stars
(HVSs) under the assumption that they originated in the Galactic Centre. We
show that eight of these twelve stars are bound to the Galaxy. We consider the
subsequent trajectories of the bound stars to compute their characteristic
orbital period, which is 2 Gyr. All eight bound stars are moving away from the
centre of the Galaxy, which implies that the stars' lifetimes are less than 2
Gyr. We thus infer that the observed HVSs are massive main sequence stars,
rather than blue horizontal branch stars. The observations suggest that blue
HVSs are ejected from the Galactic Centre roughly every 15 Myr. This is
consistent with the observed population of blue stars in extremely tight orbits
round the central super-massive black hole (SMBH), the so-called S-stars, if we
assume that the HVSs are produced by the breakup of binaries. One of the stars
in such a binary is ejected at high velocities to form a HVS; the other remains
bound to the SMBH as an S-star.
We further show that the one high-velocity system observed to be moving
towards the Galactic Centre, SDSS J172226.55+594155.9, could not have
originated in the Galactic Centre; rather, we identify it as a halo object.
| astro-ph | we have computed the galactic trajectories of twelve hypervelocity stars hvss under the assumption that they originated in the galactic centre we show that eight of these twelve stars are bound to the galaxy we consider the subsequent trajectories of the bound stars to compute their characteristic orbital period which is 2 gyr all eight bound stars are moving away from the centre of the galaxy which implies that the stars lifetimes are less than 2 gyr we thus infer that the observed hvss are massive main sequence stars rather than blue horizontal branch stars the observations suggest that blue hvss are ejected from the galactic centre roughly every 15 myr this is consistent with the observed population of blue stars in extremely tight orbits round the central supermassive black hole smbh the socalled sstars if we assume that the hvss are produced by the breakup of binaries one of the stars in such a binary is ejected at high velocities to form a hvs the other remains bound to the smbh as an sstar we further show that the one highvelocity system observed to be moving towards the galactic centre sdss j172226555941559 could not have originated in the galactic centre rather we identify it as a halo object | [['we', 'have', 'computed', 'the', 'galactic', 'trajectories', 'of', 'twelve', 'hypervelocity', 'stars', 'hvss', 'under', 'the', 'assumption', 'that', 'they', 'originated', 'in', 'the', 'galactic', 'centre', 'we', 'show', 'that', 'eight', 'of', 'these', 'twelve', 'stars', 'are', 'bound', 'to', 'the', 'galaxy', 'we', 'consider', 'the', 'subsequent', 'trajectories', 'of', 'the', 'bound', 'stars', 'to', 'compute', 'their', 'characteristic', 'orbital', 'period', 'which', 'is', '2', 'gyr', 'all', 'eight', 'bound', 'stars', 'are', 'moving', 'away', 'from', 'the', 'centre', 'of', 'the', 'galaxy', 'which', 'implies', 'that', 'the', 'stars', 'lifetimes', 'are', 'less', 'than', '2', 'gyr', 'we', 'thus', 'infer', 'that', 'the', 'observed', 'hvss', 'are', 'massive', 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'galactic', 'centre', 'rather', 'we', 'identify', 'it', 'as', 'a', 'halo', 'object']] | [-0.09552379702262652, 0.18302018739695297, -0.10440703547702959, 0.13316707466135716, -0.11846001062188477, -0.032071235603115596, 0.05967224807206479, 0.3948708019317844, -0.16754492159228762, -0.32463347340056387, 0.017011057223918706, -0.3225438273601377, -0.02123456626969318, 0.22803180475826734, -0.06434754354741191, -0.07480866819353721, 0.1299368295524171, 0.024686202601095338, -0.011830588119314948, -0.3015394626944236, 0.3204056254471652, 0.01142022966255004, 0.07972224591783462, -0.10622104294424599, 0.06197391801889843, -0.1229991269434462, 0.0007256277261219041, -0.061609624689131476, -0.12783410611501284, 0.05041743642672932, 0.20906302336460122, 0.1737726558365886, 0.2448637108922972, -0.3565733572662654, -0.18661988151814932, 0.08850135452946863, 0.2648932295493208, 0.09625682356888249, -0.11898008744733837, -0.2683729937847462, 0.1601973461396343, -0.18791511390960436, 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709.3749 | Recent advances in the three flavor Larkin-Ovchinnikov-Fulde-Ferrel
phase of QCD | We present a summary of the recent advances achieved in the study of three
flavor Larkin-Ovchinnikov-Fulde-Ferrell (LOFF)phase of QCD. We have explored,
using a Ginzburg-Landau expansion of the free energy, the LOFF phase with three
flavors, in the simplest single plane wave structure, using the NJL
four-fermion coupling. We have found that this phase does not suffer the
chromo-magnetic instability problem. A preliminary study of astrophysical
effects of quark matter in the aforementioned phase has been done and we have
evaluated self-consistently the strange quark mass extending the pairing ansatz
to the CubeX and 2Cube45z structure. Finally we have investigated the
possibility of Goldstone bosons condensation in the favored cubic structures of
LOFF phase.
| hep-ph | we present a summary of the recent advances achieved in the study of three flavor larkinovchinnikovfuldeferrell loffphase of qcd we have explored using a ginzburglandau expansion of the free energy the loff phase with three flavors in the simplest single plane wave structure using the njl fourfermion coupling we have found that this phase does not suffer the chromomagnetic instability problem a preliminary study of astrophysical effects of quark matter in the aforementioned phase has been done and we have evaluated selfconsistently the strange quark mass extending the pairing ansatz to the cubex and 2cube45z structure finally we have investigated the possibility of goldstone bosons condensation in the favored cubic structures of loff phase | [['we', 'present', 'a', 'summary', 'of', 'the', 'recent', 'advances', 'achieved', 'in', 'the', 'study', 'of', 'three', 'flavor', 'larkinovchinnikovfuldeferrell', 'loffphase', 'of', 'qcd', 'we', 'have', 'explored', 'using', 'a', 'ginzburglandau', 'expansion', 'of', 'the', 'free', 'energy', 'the', 'loff', 'phase', 'with', 'three', 'flavors', 'in', 'the', 'simplest', 'single', 'plane', 'wave', 'structure', 'using', 'the', 'njl', 'fourfermion', 'coupling', 'we', 'have', 'found', 'that', 'this', 'phase', 'does', 'not', 'suffer', 'the', 'chromomagnetic', 'instability', 'problem', 'a', 'preliminary', 'study', 'of', 'astrophysical', 'effects', 'of', 'quark', 'matter', 'in', 'the', 'aforementioned', 'phase', 'has', 'been', 'done', 'and', 'we', 'have', 'evaluated', 'selfconsistently', 'the', 'strange', 'quark', 'mass', 'extending', 'the', 'pairing', 'ansatz', 'to', 'the', 'cubex', 'and', '2cube45z', 'structure', 'finally', 'we', 'have', 'investigated', 'the', 'possibility', 'of', 'goldstone', 'bosons', 'condensation', 'in', 'the', 'favored', 'cubic', 'structures', 'of', 'loff', 'phase']] | [-0.17572614707908518, 0.22643860979928626, -0.10600291935072557, 0.07585915365478711, -0.06292761034156019, -0.05848955588314582, 0.06017410917299892, 0.35547787219554455, -0.16653649060911424, -0.23915614867331209, 0.03956525498866901, -0.25252510147454504, -0.10048422262676664, 0.08617915059146178, 0.07760398787748371, 0.06781900586845639, -0.0003356011668304065, 0.013444855137988253, -0.1385692880459566, -0.2447754589479987, 0.3816709833404234, -0.019378909086053435, 0.25685657276394397, 0.10669684256972359, 0.04861185128322324, -0.02827610165459683, -0.0035274229977313464, 0.008416900209881164, -0.1574430203420946, 0.026999871438444668, 0.17614174238930516, 0.030742268235347158, 0.1655132770790039, -0.4077673832978214, -0.2831149224049269, 0.121685159510119, 0.1630482495225429, 0.15446515510546732, -0.0973537167416768, -0.2859606052127977, 0.04731208579677686, -0.23317857952536764, -0.15731736940860347, -0.10337492059245035, -0.05550251116657311, -0.03275319982974513, -0.23071161460819412, 0.09638017286370332, 0.0035331441416732363, 0.03703741920558182, -0.03728116866671019, -0.1738359605587247, -0.04156174341233464, 0.05196598543458291, 0.09028241362135338, 0.05897864199302218, 0.07038661174325121, -0.19324076365100573, -0.12556665374788348, 0.4292820766064766, -0.06998487026902621, -0.14218369856275417, 0.13925038660700256, -0.1769568271649716, -0.162148974160454, 0.1239505709224456, 0.15720978588115442, 0.0933789813026853, -0.16173771006655083, 0.14444565588738434, -0.04867734937068088, 0.14889049104012148, 0.060841164803384126, 0.013474879467409934, 0.2362227962427848, 0.23217969693176382, -0.06782103317311487, 0.1467499085240536, -0.08545968045170109, -0.13287485794894197, -0.3021266067752967, -0.08693961298034468, -0.14723819569445443, 0.010249435501529727, -0.05714709932369449, -0.16539928323991998, 0.42236168968684235, 0.15629058092127782, 0.1875655566224711, -0.06063198857009411, 0.2455252135961174, 0.09700754998138526, 0.0662230839910875, 0.04106889617302128, 0.34209629091190863, 0.16331662280854206, 0.14563585968839154, -0.2936185390042426, -0.034832814791206236, 0.10648044643856518] |
709.375 | Design and Implementation of the New D0 Level-1 Calorimeter Trigger | Increasing luminosity at the Fermilab Tevatron collider has led the D0
collaboration to make improvements to its detector beyond those already in
place for Run IIa, which began in March 2001. One of the cornerstones of this
Run IIb upgrade is a completely redesigned level-1 calorimeter trigger system.
The new system employs novel architecture and algorithms to retain high
efficiency for interesting events while substantially increasing rejection of
background. We describe the design and implementation of the new level-1
calorimeter trigger hardware and discuss its performance during Run IIb data
taking. In addition to strengthening the physics capabilities of D0, this
trigger system will provide valuable insight into the operation of analogous
devices to be used at LHC experiments.
| physics.ins-det | increasing luminosity at the fermilab tevatron collider has led the d0 collaboration to make improvements to its detector beyond those already in place for run iia which began in march 2001 one of the cornerstones of this run iib upgrade is a completely redesigned level1 calorimeter trigger system the new system employs novel architecture and algorithms to retain high efficiency for interesting events while substantially increasing rejection of background we describe the design and implementation of the new level1 calorimeter trigger hardware and discuss its performance during run iib data taking in addition to strengthening the physics capabilities of d0 this trigger system will provide valuable insight into the operation of analogous devices to be used at lhc experiments | [['increasing', 'luminosity', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'has', 'led', 'the', 'd0', 'collaboration', 'to', 'make', 'improvements', 'to', 'its', 'detector', 'beyond', 'those', 'already', 'in', 'place', 'for', 'run', 'iia', 'which', 'began', 'in', 'march', '2001', 'one', 'of', 'the', 'cornerstones', 'of', 'this', 'run', 'iib', 'upgrade', 'is', 'a', 'completely', 'redesigned', 'level1', 'calorimeter', 'trigger', 'system', 'the', 'new', 'system', 'employs', 'novel', 'architecture', 'and', 'algorithms', 'to', 'retain', 'high', 'efficiency', 'for', 'interesting', 'events', 'while', 'substantially', 'increasing', 'rejection', 'of', 'background', 'we', 'describe', 'the', 'design', 'and', 'implementation', 'of', 'the', 'new', 'level1', 'calorimeter', 'trigger', 'hardware', 'and', 'discuss', 'its', 'performance', 'during', 'run', 'iib', 'data', 'taking', 'in', 'addition', 'to', 'strengthening', 'the', 'physics', 'capabilities', 'of', 'd0', 'this', 'trigger', 'system', 'will', 'provide', 'valuable', 'insight', 'into', 'the', 'operation', 'of', 'analogous', 'devices', 'to', 'be', 'used', 'at', 'lhc', 'experiments']] | [-0.0559418813204158, 0.09344148818606965, -0.0994165542343741, 0.0739242919366572, -0.09408717923367224, -0.19574936083713626, 0.024215950252989137, 0.3151289736147688, -0.18505200976897188, -0.36450201615753797, 0.11423863165037502, -0.2931986542285553, -0.035611563416964864, 0.21047676285580114, -0.05344208790881544, 0.07788740087421846, 0.17999577807935596, -0.02995695761075251, -0.08976261882393174, -0.30362767655746775, 0.1912962183778902, 0.20312642345220602, 0.29863273566432236, 0.04374196807885183, 0.12172334646207414, -0.009747248692751056, -0.0461174643700238, -0.05968763624482295, -0.07300726330911, 0.0595664803502189, 0.29359025534774574, 0.21599714497774164, 0.19111861378157965, -0.49504804328678786, -0.08833377973368282, 0.10428789175142918, 0.14206178155297242, 0.0511038578633892, -0.07163631723129324, -0.29543695665363756, 0.11642511554860643, -0.2587874819751547, -0.13982152201011758, -0.0309810640208204, -0.009180825739754598, -0.028656535207180447, -0.24975652129491085, -0.055623044324412695, 0.018357427959025157, 0.03387272801297177, 0.02300877833947786, -0.14263878957888879, 0.01008699878173716, 0.08489931861189108, 0.02169126197216375, 0.06190779753628054, 0.1492015530918764, -0.14418314122047057, -0.1804984543362961, 0.29320497558835673, 0.0112232835787278, -0.07650764972879355, 0.23382277048374878, -0.17564217406990273, -0.17187872823296474, 0.1778699092629577, 0.2817891833466329, -0.014468189450215642, -0.20792791449284853, 0.09499100119926177, 0.09868364510353372, 0.17755920582396142, 0.042923525783835965, 0.09422161839824139, 0.22165631042879483, 0.31342474184930325, 0.07446556175792855, 0.1386450492422793, -0.09986828945913673, -0.03563984837813475, -0.3762365720946999, -0.15035713687069527, -0.08324885255844966, 0.01941190506605541, -0.004781793066943181, -0.057537164914758264, 0.3997907973356357, 0.1681439755719249, 0.17549161003323413, -0.012192199590709843, 0.2594685030850668, 0.03276570833595313, 0.12574099992649404, 0.04560828677751809, 0.3269954051982862, 0.08035620448116933, 0.2520323626231402, -0.22112296425596567, 0.027659352489222747, 0.07406571444061373] |
709.3751 | Non-equilibrium hydrogen ionization in 2D simulations of the solar
atmosphere | The ionization of hydrogen in the solar chromosphere and transition region
does not obey LTE or instantaneous statistical equilibrium because the
timescale is long compared with important hydrodynamical timescales, especially
of magneto-acoustic shocks. We implement an algorithm to compute
non-equilibrium hydrogen ionization and its coupling into the MHD equations
within an existing radiation MHD code, and perform a two-dimensional simulation
of the solar atmosphere from the convection zone to the corona. Analysis of the
simulation results and comparison to a companion simulation assuming LTE shows
that: a) Non-equilibrium computation delivers much smaller variations of the
chromospheric hydrogen ionization than for LTE. The ionization is smaller
within shocks but subsequently remains high in the cool intershock phases. As a
result, the chromospheric temperature variations are much larger than for LTE
because in non-equilibrium, hydrogen ionization is a less effective internal
energy buffer. The actual shock temperatures are therefore higher and the
intershock temperatures lower. b) The chromospheric populations of the hydrogen
n = 2 level, which governs the opacity of Halpha, are coupled to the ion
populations. They are set by the high temperature in shocks and subsequently
remain high in the cool intershock phases. c) The temperature structure and the
hydrogen level populations differ much between the chromosphere above
photospheric magnetic elements and above quiet internetwork. d) The hydrogen n
= 2 population and column density are persistently high in dynamic fibrils,
suggesting that these obtain their visibility from being optically thick in
Halpha also at low temperature.
| astro-ph | the ionization of hydrogen in the solar chromosphere and transition region does not obey lte or instantaneous statistical equilibrium because the timescale is long compared with important hydrodynamical timescales especially of magnetoacoustic shocks we implement an algorithm to compute nonequilibrium hydrogen ionization and its coupling into the mhd equations within an existing radiation mhd code and perform a twodimensional simulation of the solar atmosphere from the convection zone to the corona analysis of the simulation results and comparison to a companion simulation assuming lte shows that a nonequilibrium computation delivers much smaller variations of the chromospheric hydrogen ionization than for lte the ionization is smaller within shocks but subsequently remains high in the cool intershock phases as a result the chromospheric temperature variations are much larger than for lte because in nonequilibrium hydrogen ionization is a less effective internal energy buffer the actual shock temperatures are therefore higher and the intershock temperatures lower b the chromospheric populations of the hydrogen n 2 level which governs the opacity of halpha are coupled to the ion populations they are set by the high temperature in shocks and subsequently remain high in the cool intershock phases c the temperature structure and the hydrogen level populations differ much between the chromosphere above photospheric magnetic elements and above quiet internetwork d the hydrogen n 2 population and column density are persistently high in dynamic fibrils suggesting that these obtain their visibility from being optically thick in halpha also at low temperature | [['the', 'ionization', 'of', 'hydrogen', 'in', 'the', 'solar', 'chromosphere', 'and', 'transition', 'region', 'does', 'not', 'obey', 'lte', 'or', 'instantaneous', 'statistical', 'equilibrium', 'because', 'the', 'timescale', 'is', 'long', 'compared', 'with', 'important', 'hydrodynamical', 'timescales', 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'obtain', 'their', 'visibility', 'from', 'being', 'optically', 'thick', 'in', 'halpha', 'also', 'at', 'low', 'temperature']] | [-0.07402991716148014, 0.20255006566500325, 0.005148716223600313, 0.11115470066679854, 0.01564431378837463, -0.10925751715156484, 0.06709155434604386, 0.4082055821356068, -0.21666003945397166, -0.33953320522361047, 0.0514093526242475, -0.2532140433758013, -0.004104970563468107, 0.17013805767434187, 0.01802728464732295, -0.02975687623848359, 0.036608824792234755, -0.04934631486856795, -0.05122454381288537, -0.18408515407207868, 0.2543573876846642, 0.14243487908875918, 0.2012457205408548, 0.04819172302571436, 0.008153214811004804, -0.16509530075463255, -0.010926148642424298, 0.002293419495614897, -0.11708191319254493, 0.0333433549631599, 0.22912092036397264, 0.08062867427290213, 0.24557425861712545, -0.47859674458566115, -0.26945252275582765, 0.00992047032284573, 0.18313909002591106, 0.11103524340125467, -0.0009145829788734758, -0.19362743659989862, 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709.3752 | The Homogeneous Approximation Property and the Comparison Theorem for
Coherent Frames | We show that the homogeneous approximation property and the comparison
theorem hold for arbitrary coherent frames. This observation answers some
questions about the density of frames that are not covered by the theory of
Balan, Casazza, Heil, and Landau. The proofs are a variation of the method
developed by Ramanathan and Steger.
| math.FA math.RT | we show that the homogeneous approximation property and the comparison theorem hold for arbitrary coherent frames this observation answers some questions about the density of frames that are not covered by the theory of balan casazza heil and landau the proofs are a variation of the method developed by ramanathan and steger | [['we', 'show', 'that', 'the', 'homogeneous', 'approximation', 'property', 'and', 'the', 'comparison', 'theorem', 'hold', 'for', 'arbitrary', 'coherent', 'frames', 'this', 'observation', 'answers', 'some', 'questions', 'about', 'the', 'density', 'of', 'frames', 'that', 'are', 'not', 'covered', 'by', 'the', 'theory', 'of', 'balan', 'casazza', 'heil', 'and', 'landau', 'the', 'proofs', 'are', 'a', 'variation', 'of', 'the', 'method', 'developed', 'by', 'ramanathan', 'and', 'steger']] | [-0.10111000140246827, 0.11225039293416418, -0.11948680296504441, 0.11715351310872044, -0.020436320753875546, -0.11796127391370156, 0.06081630417947263, 0.36016862803640276, -0.21965715799552316, -0.28964651352725923, 0.10229423210526314, -0.24879984330171004, -0.1471401619223448, 0.19506271183490753, -0.11635257653856221, 0.025401605501359042, 0.08006778709554616, -0.010177684804567924, -0.04137937856229165, -0.29632920882879543, 0.3167035360619103, 0.014370903856335925, 0.24921880420655584, 0.08875757524107869, 0.09405455908451515, 0.05421811031164207, -0.09091846640960564, 0.052304210141301155, -0.1713203763191324, 0.16607651540387172, 0.2508435148315934, 0.11419779518753505, 0.2841835983025913, -0.3556782096409454, -0.21537661912421194, 0.009160217381297396, 0.04750742881543164, 0.0990678053528357, -0.025460899180661026, -0.3255126830369521, 0.12548433145890997, -0.12402841323413528, -0.11977336664970678, -0.09608865314602064, 0.004234364632373819, 0.041037596363681726, -0.24866707638228455, 0.07612472748083886, 0.20431605050823867, 0.05149623298516067, -0.11312085651577665, -0.07479309014832744, 0.04401261016028002, 0.07856820326728317, 0.01678714410473521, 0.035732542003433294, 0.05970856046769768, -0.0692237177460741, -0.1313680455451294, 0.33916824645935917, -0.04892592803718379, -0.1793276869620268, 0.13284849112768335, -0.1485578563476268, -0.13295814164582856, 0.08325625723227859, 0.05424873385793315, 0.14310467735720941, -0.10353856771969451, 0.13806948047511888, -0.13768525621540342, 0.11803338243267857, 0.17838370848375446, 0.03576846795084958, 0.10225689704888143, 0.04007170831139844, 0.036783987656235695, 0.05803587821383889, 0.005687686946028127, -0.06948713973486939, -0.33357904942777866, -0.1492285635199201, -0.18154042321615493, 0.03665883280812592, -0.044133007991219456, -0.13001934182830155, 0.35898608338231075, 0.13248649241778857, 0.16158452574521875, 0.08493261076868154, 0.23214251576707914, 0.09134035996304682, 0.0057626401898092944, 0.07750855918185642, 0.1969181581410409, 0.2178522559832065, 0.0727900739830847, -0.1354562985495879, 0.025200769654475152, 0.13271236112072635] |
709.3753 | On Real-Time Communication Systems with Noisy Feedback | We consider a real-time communication system with noisy feedback consisting
of a Markov source, a forward and a backward discrete memoryless channels, and
a receiver with finite memory. The objective is to design an optimal
communication strategy (that is, encoding, decoding, and memory update
strategies) to minimize the total expected distortion over a finite horizon. We
present a sequential decomposition for the problem, which results in a set of
nested optimality equations to determine optimal communication strategies. This
provides a systematic methodology to determine globally optimal joint
source-channel encoding and decoding strategies for real-time communication
systems with noisy feedback.
| cs.IT cs.MA math.IT math.OC math.PR | we consider a realtime communication system with noisy feedback consisting of a markov source a forward and a backward discrete memoryless channels and a receiver with finite memory the objective is to design an optimal communication strategy that is encoding decoding and memory update strategies to minimize the total expected distortion over a finite horizon we present a sequential decomposition for the problem which results in a set of nested optimality equations to determine optimal communication strategies this provides a systematic methodology to determine globally optimal joint sourcechannel encoding and decoding strategies for realtime communication systems with noisy feedback | [['we', 'consider', 'a', 'realtime', 'communication', 'system', 'with', 'noisy', 'feedback', 'consisting', 'of', 'a', 'markov', 'source', 'a', 'forward', 'and', 'a', 'backward', 'discrete', 'memoryless', 'channels', 'and', 'a', 'receiver', 'with', 'finite', 'memory', 'the', 'objective', 'is', 'to', 'design', 'an', 'optimal', 'communication', 'strategy', 'that', 'is', 'encoding', 'decoding', 'and', 'memory', 'update', 'strategies', 'to', 'minimize', 'the', 'total', 'expected', 'distortion', 'over', 'a', 'finite', 'horizon', 'we', 'present', 'a', 'sequential', 'decomposition', 'for', 'the', 'problem', 'which', 'results', 'in', 'a', 'set', 'of', 'nested', 'optimality', 'equations', 'to', 'determine', 'optimal', 'communication', 'strategies', 'this', 'provides', 'a', 'systematic', 'methodology', 'to', 'determine', 'globally', 'optimal', 'joint', 'sourcechannel', 'encoding', 'and', 'decoding', 'strategies', 'for', 'realtime', 'communication', 'systems', 'with', 'noisy', 'feedback']] | [-0.22385893528810655, 0.020647499184835598, -0.09663045822144156, 0.07041152799619606, -0.09365055132469144, -0.24797873004725335, 0.17498050506621826, 0.4196908466818959, -0.3420514672091513, -0.24671455714475327, 0.14898802886477136, -0.20389219355590718, -0.12727883419567587, 0.14963318032184333, -0.13757037413729864, 0.11847282799355911, 0.06448855312221279, 0.020300640416510328, -0.0699843791962573, -0.2679683364330405, 0.24632016746233207, 0.10654960436313743, 0.29092000608304236, -0.04827855926270437, 0.18757354076410823, 0.061289693997947106, -0.05206755147964665, -0.03215145660950003, -0.11919438582411415, 0.09459844082852618, 0.3461026389791508, 0.19937518525943912, 0.33509484633351816, -0.38012226949436495, -0.2351991805586625, 0.12255431359840764, 0.11538799656460984, 0.16199713171050517, -0.05176381249394682, -0.25122420371256093, 0.09944719317218646, -0.1799524851576096, 0.01728079163685742, 0.007855263990208958, -0.02816933359141753, 0.02049146303272779, -0.3841901561221804, -0.01742920700009122, 0.02028451520347535, 0.004679561507972804, -0.06937864817904704, -0.050122507315157265, 0.07724214034070345, 0.14653338063649382, -0.07296281109324121, 0.0152417234841245, 0.09574629918135928, -0.05795265221262746, -0.20801048038169892, 0.3323704910116515, -0.01307759589910733, -0.25845516185191547, 0.13241579303179274, -0.02948786397323464, -0.10940952026144121, 0.19463201668677907, 0.2755960376857959, 0.09095389822102858, -0.22373313976056647, 0.03321394567246163, -0.01503187163986943, 0.2154139567524044, 0.014420542731937585, 0.10631050586681624, 0.12691872817172548, 0.20165417606782432, 0.19099236368154637, 0.2083628722537083, -0.0588510110609779, -0.1496421033986891, -0.3075391569861559, -0.12369412954219362, -0.15004136885111832, 0.014966906895014372, -0.09265059016285125, -0.1461442600597035, 0.3189204389869113, 0.11136707255259307, 0.11570494681258094, 0.1936981715602951, 0.3791019275709234, 0.09327606484191045, 0.0146547971161628, 0.16916485082809674, 0.12648354822562802, 0.11056184169255441, 0.10328573240037782, -0.2800812395665832, 0.08218618437196269, 0.03626083101926729] |
709.3754 | Numerical simulations of type III planetary migration: II. Inward
migration of massive planets | We present a numerical study of rapid, so called type III migration for
Jupitersized planets embedded in a protoplanetary disc. We limit ourselves to
the case of inward migration, and study in detail its evolution and physics,
concentrating on the structure of the corotation and circumplanetary regions,
and processes for stopping migration. We also consider the dependence of the
migration behaviour on several key parameters. We perform this study using the
results of global, two-dimensional hydrodynamical simulations with adaptive
mesh refinement. The initial conditions are chosen to satisfy the condition for
rapid inward migration. We find that type III migration can be divided into two
regimes, fast and slow. The structure of the coorbital region, mass
accumulation rate, and migration behaviour differ between these two regimes.
All our simulations show a transition from the fast to the slow regime, ending
type III migration well before reaching the star. The stopping radius is found
to be larger for more massive planets and less massive discs. A sharp density
drop is also found to be an efficient stopping mechanism. In the fast migration
limit the migration rate and induced eccentricity are lower for less massive
discs, but almost do not depend on planet mass. Eccentricity is damped on the
migration time scale.
| astro-ph | we present a numerical study of rapid so called type iii migration for jupitersized planets embedded in a protoplanetary disc we limit ourselves to the case of inward migration and study in detail its evolution and physics concentrating on the structure of the corotation and circumplanetary regions and processes for stopping migration we also consider the dependence of the migration behaviour on several key parameters we perform this study using the results of global twodimensional hydrodynamical simulations with adaptive mesh refinement the initial conditions are chosen to satisfy the condition for rapid inward migration we find that type iii migration can be divided into two regimes fast and slow the structure of the coorbital region mass accumulation rate and migration behaviour differ between these two regimes all our simulations show a transition from the fast to the slow regime ending type iii migration well before reaching the star the stopping radius is found to be larger for more massive planets and less massive discs a sharp density drop is also found to be an efficient stopping mechanism in the fast migration limit the migration rate and induced eccentricity are lower for less massive discs but almost do not depend on planet mass eccentricity is damped on the migration time scale | [['we', 'present', 'a', 'numerical', 'study', 'of', 'rapid', 'so', 'called', 'type', 'iii', 'migration', 'for', 'jupitersized', 'planets', 'embedded', 'in', 'a', 'protoplanetary', 'disc', 'we', 'limit', 'ourselves', 'to', 'the', 'case', 'of', 'inward', 'migration', 'and', 'study', 'in', 'detail', 'its', 'evolution', 'and', 'physics', 'concentrating', 'on', 'the', 'structure', 'of', 'the', 'corotation', 'and', 'circumplanetary', 'regions', 'and', 'processes', 'for', 'stopping', 'migration', 'we', 'also', 'consider', 'the', 'dependence', 'of', 'the', 'migration', 'behaviour', 'on', 'several', 'key', 'parameters', 'we', 'perform', 'this', 'study', 'using', 'the', 'results', 'of', 'global', 'twodimensional', 'hydrodynamical', 'simulations', 'with', 'adaptive', 'mesh', 'refinement', 'the', 'initial', 'conditions', 'are', 'chosen', 'to', 'satisfy', 'the', 'condition', 'for', 'rapid', 'inward', 'migration', 'we', 'find', 'that', 'type', 'iii', 'migration', 'can', 'be', 'divided', 'into', 'two', 'regimes', 'fast', 'and', 'slow', 'the', 'structure', 'of', 'the', 'coorbital', 'region', 'mass', 'accumulation', 'rate', 'and', 'migration', 'behaviour', 'differ', 'between', 'these', 'two', 'regimes', 'all', 'our', 'simulations', 'show', 'a', 'transition', 'from', 'the', 'fast', 'to', 'the', 'slow', 'regime', 'ending', 'type', 'iii', 'migration', 'well', 'before', 'reaching', 'the', 'star', 'the', 'stopping', 'radius', 'is', 'found', 'to', 'be', 'larger', 'for', 'more', 'massive', 'planets', 'and', 'less', 'massive', 'discs', 'a', 'sharp', 'density', 'drop', 'is', 'also', 'found', 'to', 'be', 'an', 'efficient', 'stopping', 'mechanism', 'in', 'the', 'fast', 'migration', 'limit', 'the', 'migration', 'rate', 'and', 'induced', 'eccentricity', 'are', 'lower', 'for', 'less', 'massive', 'discs', 'but', 'almost', 'do', 'not', 'depend', 'on', 'planet', 'mass', 'eccentricity', 'is', 'damped', 'on', 'the', 'migration', 'time', 'scale']] | [-0.1349074459961793, 0.13965512154952323, -0.06131572746228249, 0.0753255501289719, -0.06476532678186361, -0.09253609230453592, 0.046256355900273084, 0.36246173874353105, -0.26412604990016136, -0.27868675281781524, 0.14133215360731508, -0.2134639344289012, -0.10532538468417313, 0.18502210694132373, -0.03294336754465586, -0.005400892416115052, 0.10687593982688018, -0.05608833979016968, -0.0393684538824129, -0.23654456424438172, 0.30471259269508577, 0.06876185405126307, 0.16890215293748215, 0.011650424577029687, -0.0036611308171857326, -0.05616536546232445, -0.004583480191372689, -0.01704691396360951, -0.23740774419153846, 0.03048107708205602, 0.1448319620563693, 0.1062891879828558, 0.26660468869155185, 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709.3755 | An elementary trigonometric equation | A systematic study of the trigonometric equation A tan a + B sin b = C, where
A, B and C^2 are rational numbers. The special case tan Pi/11 + 4 sin 3 Pi/11 =
sqrt[11] appears in the classical literature.
| math.NT | a systematic study of the trigonometric equation a tan a b sin b c where a b and c2 are rational numbers the special case tan pi11 4 sin 3 pi11 sqrt11 appears in the classical literature | [['a', 'systematic', 'study', 'of', 'the', 'trigonometric', 'equation', 'a', 'tan', 'a', 'b', 'sin', 'b', 'c', 'where', 'a', 'b', 'and', 'c2', 'are', 'rational', 'numbers', 'the', 'special', 'case', 'tan', 'pi11', '4', 'sin', '3', 'pi11', 'sqrt11', 'appears', 'in', 'the', 'classical', 'literature']] | [-0.2254234993726843, 0.13231991008958882, 0.05616644930301441, -0.013724020578795008, -0.058507850225497454, -0.27146909574771094, 0.126023825413237, 0.23863704885459608, -0.24680638486622936, -0.2333219408368071, 0.10217928125833471, -0.249881659330438, -0.11853657745652729, 0.1771695775613706, -0.04943472447080745, 0.04749863504225181, -0.0021344139370032484, 0.02325055215300785, -0.13372923229407105, -0.16999096526867813, 0.2479203407549196, -0.12428759152276649, 0.09498464033822529, -0.024568862048909068, -0.01571649845896496, -0.050073701228636004, -0.012562422650969692, -0.03042612856047021, -0.2161231017154124, 0.0628287060988239, 0.17059981249945444, 0.02437578396509505, 0.26868486818340087, -0.20451832580794063, -0.12333320458937022, 0.09242370793233728, 0.09721368389566326, 0.005468878248292539, -0.01060411949745483, -0.20340852340773885, 0.06959519843156967, -0.19794891491377106, -0.1854709777981043, 0.013283755346896619, 0.2048418344412413, 0.034039876443178706, -0.3793937890376482, 0.0781076036962784, 0.08696868449139099, 0.09610787039208743, 0.04880864425407102, -0.2663886646429698, -0.05708442173070378, -0.0015005829174899394, -0.045420091237045, 0.14346925841851366, 0.022266703192144632, -0.11125536136225694, -0.04958793645103773, 0.41002680526839363, -0.0691233311728057, -0.23423024623965225, 0.15926825874743777, -0.19503744945137036, -0.1706790416630813, 0.06667823159821434, 0.09601127894388305, 0.18974860440034214, -0.08835091853203873, 0.2576998536355354, -0.10615194371591012, 0.1185032396719584, 0.15005246380395773, -0.10125798090464538, 0.10778213064703676, 0.0422149618777136, -0.009313470606381694, 0.03162450608538671, -0.12060317604078187, -0.02828701927016179, -0.3837134751180808, -0.20221745724686319, -0.08139798805738489, 0.13161152963423067, -0.09030210618665377, -0.12249525864091185, 0.297833321409093, 0.0019695194383125957, 0.24694600666407496, 0.025719065115683608, 0.1734599605616596, 0.057938119396567345, 0.012446722211380903, 0.03987923745686809, 0.23174395200072062, 0.19060433868111837, 0.13423352078017262, -0.1282358508130225, -0.027678185440082517, 0.06702174461032781] |
709.3756 | The Time Response of Glass Resistive Plate Chambers to Heavily Ionizing
Particles | The HARP system of resistive plate chambers (RPCs) was designed to perform
particle identification by the measurement of the difference in the
time-of-flight of different particles. In previous papers an apparent
discrepancy was shown between the response of the RPCs to minimum ionizing
pions and heavily ionizing protons. Using the kinematics of elastic scattering
off a hydrogen target a controlled beam of low momentum recoil protons was
directed onto the chambers. With this method the trajectory and momentum, and
hence the time-of-flight of the protons can be precisely predicted without need
for a measurement of momentum of the protons. It is demonstrated that the
measurement of the time-of-arrival of particles by the thin gas-gap glass RPC
system of the HARP experiment depends on the primary ionization deposited by
the particle in the detector.
| physics.ins-det | the harp system of resistive plate chambers rpcs was designed to perform particle identification by the measurement of the difference in the timeofflight of different particles in previous papers an apparent discrepancy was shown between the response of the rpcs to minimum ionizing pions and heavily ionizing protons using the kinematics of elastic scattering off a hydrogen target a controlled beam of low momentum recoil protons was directed onto the chambers with this method the trajectory and momentum and hence the timeofflight of the protons can be precisely predicted without need for a measurement of momentum of the protons it is demonstrated that the measurement of the timeofarrival of particles by the thin gasgap glass rpc system of the harp experiment depends on the primary ionization deposited by the particle in the detector | [['the', 'harp', 'system', 'of', 'resistive', 'plate', 'chambers', 'rpcs', 'was', 'designed', 'to', 'perform', 'particle', 'identification', 'by', 'the', 'measurement', 'of', 'the', 'difference', 'in', 'the', 'timeofflight', 'of', 'different', 'particles', 'in', 'previous', 'papers', 'an', 'apparent', 'discrepancy', 'was', 'shown', 'between', 'the', 'response', 'of', 'the', 'rpcs', 'to', 'minimum', 'ionizing', 'pions', 'and', 'heavily', 'ionizing', 'protons', 'using', 'the', 'kinematics', 'of', 'elastic', 'scattering', 'off', 'a', 'hydrogen', 'target', 'a', 'controlled', 'beam', 'of', 'low', 'momentum', 'recoil', 'protons', 'was', 'directed', 'onto', 'the', 'chambers', 'with', 'this', 'method', 'the', 'trajectory', 'and', 'momentum', 'and', 'hence', 'the', 'timeofflight', 'of', 'the', 'protons', 'can', 'be', 'precisely', 'predicted', 'without', 'need', 'for', 'a', 'measurement', 'of', 'momentum', 'of', 'the', 'protons', 'it', 'is', 'demonstrated', 'that', 'the', 'measurement', 'of', 'the', 'timeofarrival', 'of', 'particles', 'by', 'the', 'thin', 'gasgap', 'glass', 'rpc', 'system', 'of', 'the', 'harp', 'experiment', 'depends', 'on', 'the', 'primary', 'ionization', 'deposited', 'by', 'the', 'particle', 'in', 'the', 'detector']] | [-0.045127486821553306, 0.24483660671070206, -0.10624295300945188, 0.006323344673904957, 0.019040029141416944, -0.09384744141293182, 0.0009205327792601152, 0.361786805917015, -0.20333043104002366, -0.3549853556394351, 0.0018016567081565772, -0.33137880023709976, 0.050575109043469034, 0.1636062541546187, -0.015882035745590023, 0.10558930048930713, 0.08751379721798003, -0.021376398762434044, -0.07552081893663853, -0.18143010514992938, 0.2962225734425539, 0.1797019700540907, 0.28319023019073275, 0.08627137771426616, 0.17353633993347597, 0.0327601613737925, -0.06362559382493298, 0.010999162508541662, -0.09447623795511556, 0.05513978551783966, 0.21316932188876142, 0.06032805969924525, 0.15585114502799557, -0.45503912595185364, -0.15608106381158438, 0.07805168554610149, 0.135648703541268, 0.0428942960200154, -0.05861672389790218, -0.2764237696925799, 0.024032765406776558, -0.1839982024535085, -0.13614029019619478, 0.04112069915881324, -0.0077156551203436475, 0.08213198221655506, -0.24076719404856153, 0.026495702437717806, 0.035791616542899814, 0.024051407916527805, -0.060413849735844204, -0.09967795162017203, 0.0003948661720972847, 0.07851787059476148, 0.05714787652003438, 0.04209969404760296, 0.2343799753933016, -0.123646066663434, -0.07305509790383054, 0.3498670695645904, -0.010317975637559412, -0.18505183470463663, 0.1595641576542138, -0.22469999988662134, -0.0047125075820297225, 0.23228616615983122, 0.16863322576197484, 0.11508212144006834, -0.210746096637608, 0.012174648526221668, -0.04085271505402599, 0.19730398098401952, 0.09930253985768298, -0.033202477656728166, 0.1928965665230697, 0.2291773621021121, 0.03312149132420238, 0.11967671626497935, -0.19765805430660927, -0.0027501656194076395, -0.2966328822499649, -0.1880871192622704, -0.18457802854324903, 0.02321022318034066, -0.0334394098905305, -0.10728081459400886, 0.3658618104192569, 0.0895465432708575, 0.18202588029177577, -0.06344711626033214, 0.3591547327179631, 0.05320892222472608, 0.07791134133003652, 0.015372736838110017, 0.3393221015858492, 0.16940392366659857, 0.17182991095780215, -0.2883709685376027, 0.09368232306742082, 0.04904814611301955] |
709.3757 | Spinflation and cycling branes in warped throats | The implications of brane motion in angular directions of Calabi-Yau flux
compactifications are discussed from the point of view of an observer living on
the worldvolume of the brane and from the point of view of an observer living
elsewhere in the three non-compact dimensions. The brane observer can
experience cosmological bounces and cyclic behavior of the scale factor induced
by centrifugal angular momentum barriers. Observers living elsewhere in the
compactification experience marginally prolonged periods of inflation due to
large angular momentum (spinflation). The presence of spinflaton fields (or
other fields with non-standard kinetic terms) during inflation may lead to
interesting observational signatures in the cosmic microwave background
radiation.
| hep-th astro-ph gr-qc | the implications of brane motion in angular directions of calabiyau flux compactifications are discussed from the point of view of an observer living on the worldvolume of the brane and from the point of view of an observer living elsewhere in the three noncompact dimensions the brane observer can experience cosmological bounces and cyclic behavior of the scale factor induced by centrifugal angular momentum barriers observers living elsewhere in the compactification experience marginally prolonged periods of inflation due to large angular momentum spinflation the presence of spinflaton fields or other fields with nonstandard kinetic terms during inflation may lead to interesting observational signatures in the cosmic microwave background radiation | [['the', 'implications', 'of', 'brane', 'motion', 'in', 'angular', 'directions', 'of', 'calabiyau', 'flux', 'compactifications', 'are', 'discussed', 'from', 'the', 'point', 'of', 'view', 'of', 'an', 'observer', 'living', 'on', 'the', 'worldvolume', 'of', 'the', 'brane', 'and', 'from', 'the', 'point', 'of', 'view', 'of', 'an', 'observer', 'living', 'elsewhere', 'in', 'the', 'three', 'noncompact', 'dimensions', 'the', 'brane', 'observer', 'can', 'experience', 'cosmological', 'bounces', 'and', 'cyclic', 'behavior', 'of', 'the', 'scale', 'factor', 'induced', 'by', 'centrifugal', 'angular', 'momentum', 'barriers', 'observers', 'living', 'elsewhere', 'in', 'the', 'compactification', 'experience', 'marginally', 'prolonged', 'periods', 'of', 'inflation', 'due', 'to', 'large', 'angular', 'momentum', 'spinflation', 'the', 'presence', 'of', 'spinflaton', 'fields', 'or', 'other', 'fields', 'with', 'nonstandard', 'kinetic', 'terms', 'during', 'inflation', 'may', 'lead', 'to', 'interesting', 'observational', 'signatures', 'in', 'the', 'cosmic', 'microwave', 'background', 'radiation']] | [-0.1788802638985302, 0.2194282606763684, -0.09182490629716478, 0.07969581667032656, -0.10470500475633035, -0.09163721683947797, -0.042717412475137675, 0.31418453236409555, -0.20563303907359137, -0.30234374015147736, 0.07264695677867826, -0.2505992822909254, -0.05882691622523745, 0.1835527530670542, -0.11071313980437063, -0.049751104368324126, 0.0018900628287105933, 0.023439495926808326, -0.010204173205847588, -0.24215653996034567, 0.37587884275259775, 0.15473939585200416, 0.2510160114172923, 0.009541115535576955, 0.10284508203386987, -0.0584627574249897, -0.0487838646550791, 0.02536403533891527, -0.11359626320703382, 0.04531547076649827, 0.19667611576172464, 0.08981416319334588, 0.14449679694317896, -0.4820890293687309, -0.23871152075605656, 0.14157030394796385, 0.17332897348534487, 0.1471823150924313, -0.040962286721786846, -0.3124757901585977, -0.04709482569794316, -0.12730641009653448, -0.2180026472255656, -0.009322578059680281, 0.030993629118786493, -0.031563672862964076, -0.1773367767828867, 0.08640287150073489, 0.027555209719106008, 0.09179004229212162, -0.12205755306459075, -0.06195893596618547, -0.09422587743456211, 0.059497371172840034, 0.20725288659915192, 0.04725859411607642, 0.2022856146336422, -0.1705094804269595, -0.139653665107598, 0.36472722158314436, -0.05487254858358737, -0.18026229933997906, 0.14921308834310792, -0.19452486456790513, -0.07758659510146998, 0.1486559332168977, 0.1475864042220381, 0.12131375096174418, -0.10703124397716254, 0.1596761187100612, 0.08403040665210387, 0.10132410068229404, 0.14302010614095992, 0.07694661578829956, 0.38058648360978575, 0.0927854960254573, 0.05040064752272783, 0.0801702993201015, -0.1060912048832915, -0.13171288411244067, -0.38768714119962183, -0.10285455759597617, -0.11381774673178587, 0.13783487963806326, -0.1992710290234771, -0.1516570563282852, 0.36450447914523815, 0.10899159541981586, 0.2012542095505248, -0.03284480007057753, 0.2383473545885346, 0.017116948116331472, 0.05226216238812296, 0.04853572076669287, 0.29579556428340326, 0.08002276701741604, 0.16949222728806557, -0.23948094998529063, -0.07523708104010705, 0.05521448598021146] |
709.3758 | Brane inflation and the WMAP data: a Bayesian analysis | The Wilkinson Microwave Anisotropy Probe (WMAP) constraints on string
inspired ''brane inflation'' are investigated. Here, the inflaton field is
interpreted as the distance between two branes placed in a flux-enriched
background geometry and has a Dirac-Born-Infeld (DBI) kinetic term. Our method
relies on an exact numerical integration of the inflationary power spectra
coupled to a Markov-Chain Monte-Carlo exploration of the parameter space. This
analysis is valid for any perturbative value of the string coupling constant
and of the string length, and includes a phenomenological modelling of the
reheating era to describe the post-inflationary evolution. It is found that the
data favour a scenario where inflation stops by violation of the slow-roll
conditions well before brane annihilation, rather than by tachyonic
instability. Concerning the background geometry, it is established that log(v)
> -10 at 95% confidence level (CL), where "v" is the dimensionless ratio of the
five-dimensional sub-manifold at the base of the six-dimensional warped
conifold geometry to the volume of the unit five-sphere. The reheating energy
scale remains poorly constrained, Treh > 20 GeV at 95% CL, for an extreme
equation of state (wreh ~ -1/3) only. Assuming the string length is known, the
favoured values of the string coupling and of the Ramond-Ramond total
background charge appear to be correlated. Finally, the stochastic regime
(without and with volume effects) is studied using a perturbative treatment of
the Langevin equation. The validity of such an approximate scheme is discussed
and shown to be too limited for a full characterisation of the quantum effects.
| hep-th astro-ph gr-qc hep-ph | the wilkinson microwave anisotropy probe wmap constraints on string inspired brane inflation are investigated here the inflaton field is interpreted as the distance between two branes placed in a fluxenriched background geometry and has a diracborninfeld dbi kinetic term our method relies on an exact numerical integration of the inflationary power spectra coupled to a markovchain montecarlo exploration of the parameter space this analysis is valid for any perturbative value of the string coupling constant and of the string length and includes a phenomenological modelling of the reheating era to describe the postinflationary evolution it is found that the data favour a scenario where inflation stops by violation of the slowroll conditions well before brane annihilation rather than by tachyonic instability concerning the background geometry it is established that logv 10 at 95 confidence level cl where v is the dimensionless ratio of the fivedimensional submanifold at the base of the sixdimensional warped conifold geometry to the volume of the unit fivesphere the reheating energy scale remains poorly constrained treh 20 gev at 95 cl for an extreme equation of state wreh 13 only assuming the string length is known the favoured values of the string coupling and of the ramondramond total background charge appear to be correlated finally the stochastic regime without and with volume effects is studied using a perturbative treatment of the langevin equation the validity of such an approximate scheme is discussed and shown to be too limited for a full characterisation of the quantum effects | [['the', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'wmap', 'constraints', 'on', 'string', 'inspired', 'brane', 'inflation', 'are', 'investigated', 'here', 'the', 'inflaton', 'field', 'is', 'interpreted', 'as', 'the', 'distance', 'between', 'two', 'branes', 'placed', 'in', 'a', 'fluxenriched', 'background', 'geometry', 'and', 'has', 'a', 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709.3759 | Membrane adhesion and domain formation | We review theoretical results for the adhesion-induced phase behavior of
biomembranes. The focus is on models in which the membranes are represented as
discretized elastic sheets with embedded adhesion molecules. We present several
mechanism that lead to the formation of domains during adhesion, and discuss
the time-dependent evolution of domain patterns obtained in Monte-Carlo
simulations. The simulated pattern dynamics has striking similarities to the
pattern evolution observed during T cell adhesion.
| cond-mat.soft q-bio.SC | we review theoretical results for the adhesioninduced phase behavior of biomembranes the focus is on models in which the membranes are represented as discretized elastic sheets with embedded adhesion molecules we present several mechanism that lead to the formation of domains during adhesion and discuss the timedependent evolution of domain patterns obtained in montecarlo simulations the simulated pattern dynamics has striking similarities to the pattern evolution observed during t cell adhesion | [['we', 'review', 'theoretical', 'results', 'for', 'the', 'adhesioninduced', 'phase', 'behavior', 'of', 'biomembranes', 'the', 'focus', 'is', 'on', 'models', 'in', 'which', 'the', 'membranes', 'are', 'represented', 'as', 'discretized', 'elastic', 'sheets', 'with', 'embedded', 'adhesion', 'molecules', 'we', 'present', 'several', 'mechanism', 'that', 'lead', 'to', 'the', 'formation', 'of', 'domains', 'during', 'adhesion', 'and', 'discuss', 'the', 'timedependent', 'evolution', 'of', 'domain', 'patterns', 'obtained', 'in', 'montecarlo', 'simulations', 'the', 'simulated', 'pattern', 'dynamics', 'has', 'striking', 'similarities', 'to', 'the', 'pattern', 'evolution', 'observed', 'during', 't', 'cell', 'adhesion']] | [-0.1309081573747623, 0.1335875329587766, -0.08466210552084615, 0.04309257543908144, 0.0025372752972262005, -0.07322368988583625, 0.01496716877642337, 0.42724961383451876, -0.27641046754228815, -0.2916241063749496, 0.05680196010507643, -0.2684894092512173, -0.22634413412076906, 0.15707262808581632, -0.007983360524800882, 0.03231669910921072, 0.08243631115052062, -0.046244231210103334, -0.01379051991134987, -0.1772362902353872, 0.26863089841331395, 0.03835586684716629, 0.2954525961409467, 0.06718525993572154, 0.061132327784639846, -0.0522856105604327, 0.0009760648589318907, 0.027625109528152034, -0.21045171299305315, 0.0749260446804405, 0.20717845883608416, 0.042561976048885515, 0.1999787524322861, -0.5589095862765967, -0.2963069158829224, 0.05106274774429244, 0.1590921432894825, 0.10544787223195054, -0.09832549138112702, -0.2295800140258712, 0.04887560537268578, -0.08737083820914718, -0.12042608743035038, -0.05581945958744052, 0.02419062152924672, 0.06678548868758682, -0.19184778544159842, 0.11256777933260924, 0.01961323597901304, 0.05260862057871172, -0.11613153723317762, -0.08104766473751253, -0.04733131268770027, 0.12313887349848018, 0.06191866879981064, -0.00041390426168349425, 0.2017413400782561, -0.14046784975028165, -0.12938868173752244, 0.4085813950530817, -0.04282164918652303, -0.18190139980698136, 0.22928847137733666, -0.16153953133911733, -0.11057448908555466, 0.13355461316524256, 0.18115489072048327, 0.08416152455594758, -0.12483743616235508, 0.01587547442439655, 0.004748468600462755, 0.14186321780033095, 0.060729523366448324, -0.036195116143831065, 0.21540381542971015, 0.2836397989902278, -0.05668145560488944, 0.16800926656226142, -0.09738196059733524, -0.1871455011915573, -0.26706724813286686, -0.09590990333424383, -0.13786045216601078, -0.004665144581452642, -0.0853822462284908, -0.19266660535104677, 0.3763466739476147, 0.11682708043290276, 0.22343890980200867, 0.018637096258470605, 0.21085724890441962, 0.027780371311474854, 0.046312417507066696, -0.03405983690303606, 0.22808549522494398, 0.11982685691532745, 0.1594404358429913, -0.28008588519550753, 0.11059834205374962, 0.05084110829244617] |
709.376 | Ultrahigh energy neutrinos with a mediterranean neutrino telescope | A study of the ultra high energy neutrino detection performances of a km^3
Neutrino Telescope sitting at the three proposed sites for "ANTARES", "NEMO"
and "NESTOR" in the Mediterranean sea is here performed. The detected charged
leptons energy spectra, entangled with their arrival directions, provide an
unique tool to both determine the neutrino flux and the neutrino-nucleon cross
section.
| astro-ph hep-ph | a study of the ultra high energy neutrino detection performances of a km3 neutrino telescope sitting at the three proposed sites for antares nemo and nestor in the mediterranean sea is here performed the detected charged leptons energy spectra entangled with their arrival directions provide an unique tool to both determine the neutrino flux and the neutrinonucleon cross section | [['a', 'study', 'of', 'the', 'ultra', 'high', 'energy', 'neutrino', 'detection', 'performances', 'of', 'a', 'km3', 'neutrino', 'telescope', 'sitting', 'at', 'the', 'three', 'proposed', 'sites', 'for', 'antares', 'nemo', 'and', 'nestor', 'in', 'the', 'mediterranean', 'sea', 'is', 'here', 'performed', 'the', 'detected', 'charged', 'leptons', 'energy', 'spectra', 'entangled', 'with', 'their', 'arrival', 'directions', 'provide', 'an', 'unique', 'tool', 'to', 'both', 'determine', 'the', 'neutrino', 'flux', 'and', 'the', 'neutrinonucleon', 'cross', 'section']] | [-0.08125529437862589, 0.23301132787556694, 0.007059998407770517, 0.1741842106477973, 0.024895291041456543, -0.0974084281725651, 0.0022098918966317583, 0.3539868059678603, -0.13148415835290136, -0.35366962108192807, 0.035869259029129616, -0.3633572657245322, 0.014441217437891637, 0.19814867868830086, 0.1057324845312258, 0.02237204795356019, 0.15119612914652136, 0.0010125893843952187, -0.022647071866539574, -0.2459182930889271, 0.24057423594502447, 0.22157876818614491, 0.331265783308358, 0.13919046619054626, 0.1921855876837873, -0.043010375928133726, -0.08858459460217569, -0.10861032550870361, -0.08862931003509941, 0.0682647434490934, 0.25837762993602553, 0.10134017456449189, 0.07259453070681479, -0.4062126603103795, -0.12674394148891255, 0.1504335340144018, 0.10063410408289755, -0.011705720019763556, -0.09192758003028773, -0.3571786574577376, 0.04704449442609892, -0.19546414011994662, -0.21868851618304597, 0.033617689700449926, -0.07015640680062568, -0.007470158958744447, -0.22522238250506127, -0.014043810990465394, -0.11163977738785541, 0.019168901130935903, -0.06642264736149366, -0.17405921560948936, -0.01509522629499246, 0.12654266569574, 0.10529401967444031, -0.01899847811703586, 0.11522598567387184, -0.14449433726653205, -0.10982054727294056, 0.37076467041999606, -0.05938758320269822, -0.12272449645955684, 0.13169499267271514, -0.19291789510871393, -0.13362222135272192, 0.20166266826376067, 0.23312962036264145, 0.07753022431230204, -0.24788399870996758, 0.06539782913898955, -0.04447189960786599, 0.13059579909352934, 0.09108371901625799, 0.01644163275674238, 0.29076431054322016, 0.2845079541932476, 0.13227679514152518, 0.008304438885238212, -0.3002360601893673, 0.0395707357043432, -0.33209267820594673, -0.16808157467867357, -0.12001029637216007, 0.06707707646508086, 0.0017746640611005853, -0.12533621973026607, 0.4639168310657901, 0.08101685323862959, 0.147970111034337, -0.01735174984244977, 0.33602866795608555, 0.006578398694805169, 0.012127717743801364, 0.058832594438187655, 0.31692365317021387, 0.1159189523008289, 0.18229093754632494, -0.24288787512045543, -0.027456027392487405, 0.055568001075190006] |
709.3761 | NGC 5253 and ESO 269-G058: Dwarf Galaxies with a Past | Deep r' and i' images obtained with GMOS on Gemini South are used to probe
the bright stellar content in the outer regions of NGC 5253 and ESO269-G058.
Red giant branch (RGB) stars are traced out to a distance of 8 kpc along the
major axis of NGC 5253, and 6 kpc in ESO269-G058. The outer regions of both
galaxies are metal-poor; RGB stars located between projected major axis
distances of 2 and 4 kpc in NGC 5253 have [Fe/H] ~ -1, whereas RGB stars in the
corresponding portion of ESO269-G058 have [Fe/H] ~ -1.8. Stars with
metallicities that differ from the mean by more than a few tenths of a dex make
only a modest contribution to the stellar content in the outer regions of both
galaxies. A population of bright asymptotic giant branch (AGB) stars is seen in
both galaxies. Roughly 1 - 10% of the stellar mass of NGC 5253 may have formed
during the past few hundred million years, and it is suggested that the
progenitors of the two recent SN Ia in this galaxy may have formed at this
time. It is argued that the current episodes of star formation in NGC 5253 and
ESO269-G058 may have been triggered up to ~ 1 Gyr in the past. Finally, a
distance modulus is computed for each galaxy based on the brightness of the
RGB-tip, and the results are 27.48 +/- 0.14 for NGC 5253, and 27.93 +/- 0.18
for ESO269-G058.
| astro-ph | deep r and i images obtained with gmos on gemini south are used to probe the bright stellar content in the outer regions of ngc 5253 and eso269g058 red giant branch rgb stars are traced out to a distance of 8 kpc along the major axis of ngc 5253 and 6 kpc in eso269g058 the outer regions of both galaxies are metalpoor rgb stars located between projected major axis distances of 2 and 4 kpc in ngc 5253 have feh 1 whereas rgb stars in the corresponding portion of eso269g058 have feh 18 stars with metallicities that differ from the mean by more than a few tenths of a dex make only a modest contribution to the stellar content in the outer regions of both galaxies a population of bright asymptotic giant branch agb stars is seen in both galaxies roughly 1 10 of the stellar mass of ngc 5253 may have formed during the past few hundred million years and it is suggested that the progenitors of the two recent sn ia in this galaxy may have formed at this time it is argued that the current episodes of star formation in ngc 5253 and eso269g058 may have been triggered up to 1 gyr in the past finally a distance modulus is computed for each galaxy based on the brightness of the rgbtip and the results are 2748 014 for ngc 5253 and 2793 018 for eso269g058 | [['deep', 'r', 'and', 'i', 'images', 'obtained', 'with', 'gmos', 'on', 'gemini', 'south', 'are', 'used', 'to', 'probe', 'the', 'bright', 'stellar', 'content', 'in', 'the', 'outer', 'regions', 'of', 'ngc', '5253', 'and', 'eso269g058', 'red', 'giant', 'branch', 'rgb', 'stars', 'are', 'traced', 'out', 'to', 'a', 'distance', 'of', '8', 'kpc', 'along', 'the', 'major', 'axis', 'of', 'ngc', '5253', 'and', '6', 'kpc', 'in', 'eso269g058', 'the', 'outer', 'regions', 'of', 'both', 'galaxies', 'are', 'metalpoor', 'rgb', 'stars', 'located', 'between', 'projected', 'major', 'axis', 'distances', 'of', '2', 'and', '4', 'kpc', 'in', 'ngc', '5253', 'have', 'feh', '1', 'whereas', 'rgb', 'stars', 'in', 'the', 'corresponding', 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'past', 'finally', 'a', 'distance', 'modulus', 'is', 'computed', 'for', 'each', 'galaxy', 'based', 'on', 'the', 'brightness', 'of', 'the', 'rgbtip', 'and', 'the', 'results', 'are', '2748', '014', 'for', 'ngc', '5253', 'and', '2793', '018', 'for', 'eso269g058']] | [-0.04610289119823812, 0.07328793837272116, -0.08908471975381635, 0.05958015647493772, -0.07109463713405763, -0.04852339515595564, 0.01842613848114089, 0.47035176839147297, -0.10393432393413772, -0.3754068178226467, 0.03825513060457081, -0.3104942805689423, 0.005384356521085656, 0.19891509264922788, -0.08755277181455098, -0.10160684772227116, 0.10496264271180834, -0.058042557863127286, -0.04534695821348578, -0.329935140046878, 0.2709198029690565, 0.0024039073671877557, 0.1044903105812562, -0.0645044019285339, 0.04948451094761757, -0.17479351479873187, -0.03894623058276767, -0.09348412931254994, -0.1454202827616649, 0.03487377881440295, 0.24307107957111312, 0.12721252978090666, 0.2712772565839045, -0.348401426357225, 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-0.1799197647526876, -0.07074515339174942, -0.08828219974476124, 0.07737261899981741, -0.1903558038894142, -0.09518441562384304, 0.3295101988688894, 0.06076597886604155, 0.26257642771375655, 0.011470611046749252, 0.27969375629654986, 0.03476281024240732, 0.1763379417199391, 0.1619096177418818, 0.3522925842357721, 0.20742742032861383, 0.05552697795670198, -0.2051153482346866, 0.07664214216445452, -0.009984368432954955] |
709.3762 | The ACS Survey of Galactic Globular Clusters. III. The Double Subgiant
Branch of NGC 1851 | Photometry with HST's ACS reveals that the subgiant branch (SGB) of the
globular cluster NGC 1851 splits into two well-defined branches. If the split
is due only to an age effect, the two SGBs would imply two star formation
episodes separated by $\sim$ 1 Gyr. We discuss other anomalies in NGC 1851
which could be interpreted in terms of a double stellar population. Finally, we
compare the case of NGC 1851 with the other two globulars known to host
multiple stellar populations, and show that all three clusters differ in
several important respects.
| astro-ph | photometry with hsts acs reveals that the subgiant branch sgb of the globular cluster ngc 1851 splits into two welldefined branches if the split is due only to an age effect the two sgbs would imply two star formation episodes separated by sim 1 gyr we discuss other anomalies in ngc 1851 which could be interpreted in terms of a double stellar population finally we compare the case of ngc 1851 with the other two globulars known to host multiple stellar populations and show that all three clusters differ in several important respects | [['photometry', 'with', 'hsts', 'acs', 'reveals', 'that', 'the', 'subgiant', 'branch', 'sgb', 'of', 'the', 'globular', 'cluster', 'ngc', '1851', 'splits', 'into', 'two', 'welldefined', 'branches', 'if', 'the', 'split', 'is', 'due', 'only', 'to', 'an', 'age', 'effect', 'the', 'two', 'sgbs', 'would', 'imply', 'two', 'star', 'formation', 'episodes', 'separated', 'by', 'sim', '1', 'gyr', 'we', 'discuss', 'other', 'anomalies', 'in', 'ngc', '1851', 'which', 'could', 'be', 'interpreted', 'in', 'terms', 'of', 'a', 'double', 'stellar', 'population', 'finally', 'we', 'compare', 'the', 'case', 'of', 'ngc', '1851', 'with', 'the', 'other', 'two', 'globulars', 'known', 'to', 'host', 'multiple', 'stellar', 'populations', 'and', 'show', 'that', 'all', 'three', 'clusters', 'differ', 'in', 'several', 'important', 'respects']] | [-0.09280383024585023, 0.09986160613577037, -0.12435220038488266, 0.11785602541164725, -0.09682103764436018, -0.09273826798063613, 0.012933966027753006, 0.444107654594606, -0.1842243335158464, -0.35017808694993297, 0.008543162077154604, -0.2637983322824522, -0.09465049415506342, 0.2320214968314895, -0.08952178587005423, -0.17077116115439323, 0.15347504230110995, -0.036318835902518484, 0.00018494901177223012, -0.36028038204637586, 0.3187353589061287, -0.1181678541194928, 0.12439376710894047, -0.06896883087052454, 0.024090856458911653, -0.08247379208564438, -0.014541416464032985, -0.03323901304474441, -0.12133330343149086, -0.007838594213363425, 0.2528935841094422, 0.13990471639885738, 0.25980502788618365, -0.3475824227776899, -0.1887087703830192, 0.056338875525711124, 0.3350469388958988, 0.012347024338450082, -0.08677837974360583, -0.26787127607241673, 0.06717707015453808, -0.18549329204665077, -0.16949594981708033, 0.13145122814282614, 0.01628506504580058, 0.0009232121657439938, -0.1712882897706442, 0.1651690167885634, 0.02167969567936555, 0.05211364399761923, -0.16803475226005238, -0.2105837098688328, -0.06199768123527368, 0.14810719943395065, 0.038161082971861125, 0.03638217287758986, 0.10518126069037344, -0.07342358117532585, -0.05531583023407767, 0.36651368097712594, -0.06501854125032282, 0.035730290717335154, 0.2785498684632682, -0.20067858285901527, -0.24139442105567263, 0.003614454720449704, 0.052118703652854245, 0.09181260712625038, -0.19111756355281398, 0.005431591197022146, -0.017158884697804046, 0.21070921237164889, 0.10033460977857792, 0.06485323346550426, 0.2978877257155154, 0.07449910984004057, 0.06265241604158155, 0.11390511913885994, -0.2308933769042293, -0.09635945407533518, -0.17476565210131167, -0.07243988080881536, -0.03127730463666501, 0.036201973385628194, -0.17937039344565897, -0.14948621459345343, 0.3384094847145901, 0.039316788616199645, 0.25059059863379324, -0.016615614295631687, 0.28237587039268786, 0.04496645197893182, 0.14976127058648134, 0.11946531662577263, 0.27772227731803734, 0.19523252176010722, -0.0251220798680699, -0.27590446156119147, 0.05538932969593393, -0.01623086104800384] |
709.3763 | The MAGIC Project: Contributions to ICRC 2007 | The MAGIC Project: Contributions to ICRC 2007, Merida, Mexico. Contents pages
for the Contribution on behalf of the MAGIC Collaboration to the 30th ICRC that
took place in July 2007 in Merida, Mexico. The contents are in html form with
clickable links to the papers that exist on the Astrophysics archive. We hope
that this will make it easier to access the output of the conference in a
systematic way. Comments on how useful this is/ how it could be improved should
be sent to michela.demaria@iuav.it.
| astro-ph | the magic project contributions to icrc 2007 merida mexico contents pages for the contribution on behalf of the magic collaboration to the 30th icrc that took place in july 2007 in merida mexico the contents are in html form with clickable links to the papers that exist on the astrophysics archive we hope that this will make it easier to access the output of the conference in a systematic way comments on how useful this is how it could be improved should be sent to michelademariaiuavit | [['the', 'magic', 'project', 'contributions', 'to', 'icrc', '2007', 'merida', 'mexico', 'contents', 'pages', 'for', 'the', 'contribution', 'on', 'behalf', 'of', 'the', 'magic', 'collaboration', 'to', 'the', '30th', 'icrc', 'that', 'took', 'place', 'in', 'july', '2007', 'in', 'merida', 'mexico', 'the', 'contents', 'are', 'in', 'html', 'form', 'with', 'clickable', 'links', 'to', 'the', 'papers', 'that', 'exist', 'on', 'the', 'astrophysics', 'archive', 'we', 'hope', 'that', 'this', 'will', 'make', 'it', 'easier', 'to', 'access', 'the', 'output', 'of', 'the', 'conference', 'in', 'a', 'systematic', 'way', 'comments', 'on', 'how', 'useful', 'this', 'is', 'how', 'it', 'could', 'be', 'improved', 'should', 'be', 'sent', 'to', 'michelademariaiuavit']] | [-0.08068881837431999, 0.12895633396966494, -0.1419288950807908, 0.09052921761895585, -0.17586517601328738, -0.07305368608521189, 0.07320149675121203, 0.3480377418591696, -0.1753473988679402, -0.409542980220388, 0.11546851306715432, -0.37494842497741476, -0.1189834446653121, 0.18383867182933233, -0.12041158253217445, -0.07965081301586265, 0.12594297923394204, 0.01525236266281675, 0.030624073494554444, -0.38953354272662716, 0.2522097323637675, 0.21080217298996798, 0.30902125731329705, 0.09299742920214639, 0.017753543419873015, -0.01599691022077904, -0.12635214147431886, -0.06139589104363147, -0.10963197587021996, 0.12467931621872327, 0.357792581004255, 0.18341406930566712, 0.21994083802051403, -0.4279737396494431, -0.08960281557896559, 0.023248570423354122, 0.06033832933205892, 0.049865160729078685, -0.008402871344622006, -0.3484089406316771, 0.03160604478462654, -0.22488649811814812, -0.07722849453361157, 0.02664517816156149, 0.053006784500115936, -0.010736709066173609, -0.1690403396373286, -0.04046471416950226, -0.00895058819125338, 0.009124522480894537, 0.010171018327202868, -0.12796984416816165, 0.011252455725608504, 0.23601019462734898, 0.03581649564918788, 0.11275913572924978, 0.0768022704814725, -0.06426276026074501, -0.10557945238097625, 0.3715752396513434, -0.03427801560610533, -0.07652364899130429, 0.13833455943112152, -0.14633382827536587, -0.26188078168231776, 0.08207052591092447, 0.27941245596636743, 0.03642238031196244, -0.18455516840605174, 0.08346959655447041, -0.05213337159332107, 0.21279250389951118, 0.11081879071562606, -0.02996111839379677, 0.23651055080049177, 0.10565076335059369, 0.011138213713489034, 0.08479554185041172, -0.07315280634108656, -0.060715561676496534, -0.31012456936433036, -0.15207419831524877, -0.10806065787396887, 0.05886360956903766, 0.08153495079125551, -0.06970975622534752, 0.3851015670197632, 0.19804622902986868, 0.0958018230383887, -0.06609389337930172, 0.2578756233129431, -0.02446020495981964, 0.07994217147044015, 0.12631456440259867, 0.2606562430258183, 0.03473902656696737, 0.2642813390175648, -0.09025027604691466, 0.047423691828461255, 0.06890006859012988] |
709.3764 | Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2 | For every even integer N, denote by D_{1,2}(N) the number of representations
of N as a sum of a prime and an integer having at most two prime factors. In
this paper, we give a new lower bound for D_{1,2}(N).
| math.NT | for every even integer n denote by d_12n the number of representations of n as a sum of a prime and an integer having at most two prime factors in this paper we give a new lower bound for d_12n | [['for', 'every', 'even', 'integer', 'n', 'denote', 'by', 'd_12n', 'the', 'number', 'of', 'representations', 'of', 'n', 'as', 'a', 'sum', 'of', 'a', 'prime', 'and', 'an', 'integer', 'having', 'at', 'most', 'two', 'prime', 'factors', 'in', 'this', 'paper', 'we', 'give', 'a', 'new', 'lower', 'bound', 'for', 'd_12n']] | [-0.22226213584654034, 0.18005769361370766, -0.05502839331747964, -0.005078819827758707, -0.020765903254505245, -0.1720698552788235, 0.04635741517704446, 0.23988268952816724, -0.24280219752399718, -0.34265784681774675, 0.068219767298433, -0.29632260436192154, -0.12803260643268005, 0.21651235530152918, -0.01940244927536696, -0.0351024493080331, -0.01978205017512664, 0.14136118094902486, -0.02662927404162474, -0.30886425320059063, 0.33307273518294095, -0.04270647102966905, 0.10182219133712352, 0.048625263315625486, 0.08977310929913074, 0.032695604756008835, 0.049793156614759936, 0.009672638127813115, -0.12009137331042438, 0.1435157696076203, 0.29936697949888186, 0.1251348852063529, 0.32607962972833776, -0.3825421084497066, -0.08718567424220965, 0.22066294816322624, 0.1990708775643725, 0.004256989946588874, -0.04494303660467267, -0.12947518965229393, 0.18442668864736333, -0.16622299440205096, -0.10038964777486399, -0.041233977768570185, 0.1329354165121913, -0.021126103540882468, -0.3681412823498249, -0.05111673109931871, 0.08094807635061443, 0.1289484332082793, -0.0242951596272178, -0.2746199773624539, 0.07896399035817012, 0.11604271396063268, -0.028874513879418372, 0.04540630605770275, -0.06486399180867011, -0.1550583816075232, -0.1612011669203639, 0.3553039829712361, -0.06751177925616503, -0.20112325744703413, 0.07231854293495417, -0.15673526435857638, -0.19034052414353936, 0.12806292448658496, 0.17471535252407194, 0.1553939032368362, -0.017752334917895497, 0.09864517531677848, -0.1671439031371847, 0.11995092326251325, 0.11513407926540822, 0.06922036116884556, 0.17306426246650516, 0.12609007731080055, 0.11932633601827547, 0.17021958481054753, -0.027175568975508213, 0.12086170222610235, -0.35837118413764985, -0.21057798416150036, -0.254412422090536, 0.12434393586590886, -0.13899718566062802, -0.13069372372701765, 0.3350009750574827, 0.0460627593100071, 0.22499067831085995, 0.1838048184523359, 0.2604013000614941, 0.12347569132398348, 0.003753362409770489, 0.1221823972184211, 0.06788306523230858, 0.10457111155265011, -0.08307563159614802, -0.14896823302842677, 0.020472683559637515, 0.1380715481354855] |
709.3765 | 1953: An unrecognized summit in human genetic linkage analysis | This paper summarizes and discusses the methodological research in human
genetic linkage analysis, leading up to and following from the paper of C. A.
B. Smith presented as a Royal Statistical Society discussion paper in 1953.
This paper was given as the Fisher XXVII Memorial Lecture, in Cambridge,
December 4, 2006.
| stat.ME | this paper summarizes and discusses the methodological research in human genetic linkage analysis leading up to and following from the paper of c a b smith presented as a royal statistical society discussion paper in 1953 this paper was given as the fisher xxvii memorial lecture in cambridge december 4 2006 | [['this', 'paper', 'summarizes', 'and', 'discusses', 'the', 'methodological', 'research', 'in', 'human', 'genetic', 'linkage', 'analysis', 'leading', 'up', 'to', 'and', 'following', 'from', 'the', 'paper', 'of', 'c', 'a', 'b', 'smith', 'presented', 'as', 'a', 'royal', 'statistical', 'society', 'discussion', 'paper', 'in', '1953', 'this', 'paper', 'was', 'given', 'as', 'the', 'fisher', 'xxvii', 'memorial', 'lecture', 'in', 'cambridge', 'december', '4', '2006']] | [-0.0435020782729136, 0.0511946345442066, -0.09066952445416473, -0.01439167013592726, -0.10348145276600239, -0.09079733811884973, 0.07298022706755529, 0.23813372584260709, -0.19314734310176515, -0.3583487737010799, 0.1055670637596289, -0.30472667485146837, -0.27594416310974196, 0.14205951852194382, -0.21109332272088996, -0.01837067788138109, 0.09688221699759073, -0.03742638011189068, -0.011193308194040083, -0.33908577840410026, 0.25689217817111343, 0.15501408695298083, 0.2729920718759554, 0.06721541500540779, 0.06414357381051078, 0.000563418520066668, -0.20409391439684174, -0.016944151956076715, -0.17110717541300782, 0.16198796447932573, 0.33078910366919656, 0.21698342334917364, 0.36139809070885476, -0.3317882796274681, -0.06758008968922784, 0.02026874245162688, 0.10223737368177549, 0.07176579856405071, 0.013350588114311298, -0.31607092341736837, 0.008450753932051799, -0.23196872875240504, -0.10161466637224544, 0.03676262293376174, 0.0997232265825219, -0.02064887457983751, -0.14330579468286506, 0.06817574519664049, 0.10213926065640122, 0.24230385443889627, 0.020685169818427634, -0.20972813124878004, 0.07241938317961552, 0.11028794471320569, 0.07154831514858148, 0.13121962918461683, 0.06411316419275952, -0.06649084850305728, -0.14777295657104866, 0.3928830849107209, -0.03051814643264401, 0.004285382399079846, 0.14878092722638564, -0.13404372794663205, -0.22941079935716355, -0.005959947575248924, 0.27299294512554567, 0.026759938591424667, -0.2945815114779215, 0.13481191783805616, -0.05963906948911209, 0.10792834625816812, 0.14305776306519322, -0.10323440623195733, 0.14950060840769142, 0.15631776888325227, -0.06315340173850749, 0.10851432371190657, -0.07351360689191257, -0.09511440519389569, -0.33998707663633077, -0.2324163021848482, -0.14804343282080748, 0.07568725592721545, 0.07841609237663101, -0.10947884926024605, 0.4360497113974655, 0.17265426502197834, 0.1389110827015019, -0.02050354312557508, 0.19848775290244935, 0.010736365067571694, -0.08756586768796813, 0.09677593247946717, 0.18701680279428176, 0.1327445869169691, 0.2548363908495316, -0.0939398455826164, 0.049943131896868054, 0.08950504330534707] |
709.3766 | Entanglement detection beyond the cross-norm or realignment criterion | Separability problem, to decide whether a given state is entangled or not, is
a fundamental problem in quantum information theory. We propose a powerful and
computationally simple separability criterion, which allows us to detect the
entanglement of many bound entangled states. The criterion is strictly stronger
than the dV criterion, the computable cross-norm or realignment criterion and
its optimal nonlinear entanglement witnesses. Furthermore, this criterion can
be generalized to an analogue of permutation separability criteria in the
even-partite systems.
| quant-ph | separability problem to decide whether a given state is entangled or not is a fundamental problem in quantum information theory we propose a powerful and computationally simple separability criterion which allows us to detect the entanglement of many bound entangled states the criterion is strictly stronger than the dv criterion the computable crossnorm or realignment criterion and its optimal nonlinear entanglement witnesses furthermore this criterion can be generalized to an analogue of permutation separability criteria in the evenpartite systems | [['separability', 'problem', 'to', 'decide', 'whether', 'a', 'given', 'state', 'is', 'entangled', 'or', 'not', 'is', 'a', 'fundamental', 'problem', 'in', 'quantum', 'information', 'theory', 'we', 'propose', 'a', 'powerful', 'and', 'computationally', 'simple', 'separability', 'criterion', 'which', 'allows', 'us', 'to', 'detect', 'the', 'entanglement', 'of', 'many', 'bound', 'entangled', 'states', 'the', 'criterion', 'is', 'strictly', 'stronger', 'than', 'the', 'dv', 'criterion', 'the', 'computable', 'crossnorm', 'or', 'realignment', 'criterion', 'and', 'its', 'optimal', 'nonlinear', 'entanglement', 'witnesses', 'furthermore', 'this', 'criterion', 'can', 'be', 'generalized', 'to', 'an', 'analogue', 'of', 'permutation', 'separability', 'criteria', 'in', 'the', 'evenpartite', 'systems']] | [-0.1241924095550367, 0.10946410544718861, -0.1691576027406905, 0.16717966149847668, -0.10766824126506272, -0.2706813909328328, 0.07582374083218522, 0.3164178781354657, -0.29892046883320195, -0.25653174318946326, 0.10584744385097367, -0.20368109675417564, -0.1485711328792744, 0.1545189497932696, -0.08971712172317964, 0.12741182967707013, 0.02893703791480034, 0.08743764743364106, -0.08684357147639951, -0.27161549406651503, 0.3125145464765433, 0.03481759627361615, 0.30986086413180697, 0.09524364341408588, 0.07334210926572456, 0.018937064555640787, 0.04464898539038423, 0.02446942149589841, -0.16371030152554455, 0.10961932856634331, 0.2593906752598018, 0.2711538769639073, 0.3322399344581824, -0.336712322006814, -0.15247688320680305, 0.22718049682533512, 0.10316697750479364, 0.16587296018723208, 0.06526340660042106, -0.3025649030549595, 0.07849005688704216, -0.15182922117841932, -0.11627946668065703, -0.10059028358843464, 0.01623931109236601, -0.13522940549330834, -0.33205979372947836, 0.12917776439840403, 0.13090721819585618, 0.028563843371394355, -0.02354599458675903, 0.02634627326654318, -0.0020317761466289177, 0.05169105595455338, -0.10098485151628175, -0.005277831037230312, 0.07676227076743276, -0.10628637709380247, -0.15190529530772415, 0.3648687395482109, 0.03434143193235519, -0.2808437810924191, 0.21572257544940862, -0.050364189279767185, -0.10774438429432802, 0.06860237271907046, 0.1417023625391989, 0.18494438214036515, -0.15361067940755627, -0.02835480408080352, -0.11301674562482497, 0.20616972333011338, 0.08144366822372644, 0.13555039933476692, 0.16484915777945366, 0.037173610992538623, 0.19389618595223276, 0.2293811211323676, 0.004337471217299119, -0.06664873683490814, -0.2791693648084616, -0.21859644067799075, -0.22457581612681493, 0.08963875460922748, -0.05997833625065724, -0.14467024175115886, 0.3762703087801735, 0.11534210755967368, 0.09782659500286592, 0.03753232006550743, 0.2526467914143816, 0.1563683902570166, 0.022254189772959367, 0.0713842345150904, 0.2308204736954604, 0.20619920735510114, -0.02900262069530212, -0.20377378453476688, 0.10852528026160331, 0.11880745810384934] |
709.3767 | Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix | Assuming that the neutrino mass matrix is dominated by a term with the
permutation symmetry $S_{\scriptscriptstyle 3}$ it is possible to explain
neutrino data only if the masses are quasi-degenerate. A sub-dominant term with
an approximate $\mu -\tau$ symmetry leads to an approximate tri-bimaximal form.
Experimental consequences are discussed.
| hep-ph | assuming that the neutrino mass matrix is dominated by a term with the permutation symmetry s_scriptscriptstyle 3 it is possible to explain neutrino data only if the masses are quasidegenerate a subdominant term with an approximate mu tau symmetry leads to an approximate tribimaximal form experimental consequences are discussed | [['assuming', 'that', 'the', 'neutrino', 'mass', 'matrix', 'is', 'dominated', 'by', 'a', 'term', 'with', 'the', 'permutation', 'symmetry', 's_scriptscriptstyle', '3', 'it', 'is', 'possible', 'to', 'explain', 'neutrino', 'data', 'only', 'if', 'the', 'masses', 'are', 'quasidegenerate', 'a', 'subdominant', 'term', 'with', 'an', 'approximate', 'mu', 'tau', 'symmetry', 'leads', 'to', 'an', 'approximate', 'tribimaximal', 'form', 'experimental', 'consequences', 'are', 'discussed']] | [-0.12828562229212062, 0.2511732394201924, 0.011268425771656135, 0.18600261815299746, -0.11343770590610802, -0.17046744510298595, 0.003091362006671261, 0.34926873484315973, -0.28724864971203107, -0.2746322009479627, 0.08603565866360441, -0.3034212365552473, -0.0942851034924388, 0.11256866772115852, 0.022773130583421636, 0.00026759472287570435, 0.04267593477561604, 0.0423613014863804, -0.11352920271868545, -0.20941569140025726, 0.31549569897470064, 0.08374545296343665, 0.190880378310491, 0.054746412992244586, 0.07263878556598986, -0.12336891328838344, -0.01242143891674156, -0.12228550284635276, -0.068821392454538, -0.0023213599294346445, 0.16047413932392374, 0.09027135722377959, 0.09347338138225798, -0.3917761806709071, -0.10940187284722924, 0.1905596712992216, 0.11580056010279804, 0.1074542192412385, -0.09907087510994946, -0.28275246409854543, 0.12364586535841227, -0.23340810067020357, -0.18938280528527685, -0.08841996677316881, 0.01520598359638825, -0.11896218932330764, -0.39278312533861026, 0.1284302194835618, 0.005569583367711554, -0.054314227464298405, -0.0029877160171357295, -0.17172337205071622, -0.04243343963753432, 0.03987776923653049, 0.2256189924373757, 0.015597448616366213, 0.051360341618419625, -0.10146910951395209, -0.06846279860474169, 0.4599438002333045, -0.05317119478907747, -0.20622003198756525, 0.07830162548149626, -0.09991789210471325, -0.13495666597737, 0.15475460382488868, 0.07577235515539844, 0.02467411891363251, -0.18486450045990446, 0.14919468937053657, -0.12068758569269751, 0.20669734637097767, 0.041419903262673564, -0.011435054465740299, 0.2509135260867576, 0.18005146319046617, 0.10990230787623052, -0.02339185574480022, -0.08100455581249359, -0.059009145946523255, -0.3558545783938219, -0.057926379648658134, -0.18248730529254922, 0.0975465242518112, -0.10235633919364773, -0.11845613329205662, 0.3751591219867502, 0.0883805513731204, 0.24833176690541828, 0.05949153919937089, 0.26573982839666616, 0.16065362747758627, 0.11217400373425335, 0.055999393943541996, 0.26546286217247445, 0.18032653653547945, 0.00588687132888784, -0.25732951491954736, 0.04297209426295012, 0.07125827689014841] |
709.3768 | Thermalisation by a boson bath in a pure state | We consider a quantum system weakly coupled to a large heat bath of harmonic
oscillators. It is well known that such a boson bath initially at thermal
equilibrium thermalises the system. We show that assuming a priori an
equilibrium state is not necessary to obtain the thermalisation of the system.
We determine the complete Schr\"odinger time evolution of the subsystem of
interest for an initial pure product state of the composite system consisting
of the considered system and the bath. We find that the system relaxes into
canonical equilibrium for almost all initial pure bath states of
macroscopically well-defined energy. The temperature of the system asymptotic
thermal state is determined by the energy of the initial bath state as the
corresponding microcanonical temperature. Moreover, the time evolution of the
system is identical to the one obtained assuming that the boson bath is
initially at thermal equilibrium with this temperature. A significant part of
our approach is applicable to other baths and we identify the bath features
which are requisite for the thermalisation studied.
| cond-mat.mes-hall quant-ph | we consider a quantum system weakly coupled to a large heat bath of harmonic oscillators it is well known that such a boson bath initially at thermal equilibrium thermalises the system we show that assuming a priori an equilibrium state is not necessary to obtain the thermalisation of the system we determine the complete schrodinger time evolution of the subsystem of interest for an initial pure product state of the composite system consisting of the considered system and the bath we find that the system relaxes into canonical equilibrium for almost all initial pure bath states of macroscopically welldefined energy the temperature of the system asymptotic thermal state is determined by the energy of the initial bath state as the corresponding microcanonical temperature moreover the time evolution of the system is identical to the one obtained assuming that the boson bath is initially at thermal equilibrium with this temperature a significant part of our approach is applicable to other baths and we identify the bath features which are requisite for the thermalisation studied | [['we', 'consider', 'a', 'quantum', 'system', 'weakly', 'coupled', 'to', 'a', 'large', 'heat', 'bath', 'of', 'harmonic', 'oscillators', 'it', 'is', 'well', 'known', 'that', 'such', 'a', 'boson', 'bath', 'initially', 'at', 'thermal', 'equilibrium', 'thermalises', 'the', 'system', 'we', 'show', 'that', 'assuming', 'a', 'priori', 'an', 'equilibrium', 'state', 'is', 'not', 'necessary', 'to', 'obtain', 'the', 'thermalisation', 'of', 'the', 'system', 'we', 'determine', 'the', 'complete', 'schrodinger', 'time', 'evolution', 'of', 'the', 'subsystem', 'of', 'interest', 'for', 'an', 'initial', 'pure', 'product', 'state', 'of', 'the', 'composite', 'system', 'consisting', 'of', 'the', 'considered', 'system', 'and', 'the', 'bath', 'we', 'find', 'that', 'the', 'system', 'relaxes', 'into', 'canonical', 'equilibrium', 'for', 'almost', 'all', 'initial', 'pure', 'bath', 'states', 'of', 'macroscopically', 'welldefined', 'energy', 'the', 'temperature', 'of', 'the', 'system', 'asymptotic', 'thermal', 'state', 'is', 'determined', 'by', 'the', 'energy', 'of', 'the', 'initial', 'bath', 'state', 'as', 'the', 'corresponding', 'microcanonical', 'temperature', 'moreover', 'the', 'time', 'evolution', 'of', 'the', 'system', 'is', 'identical', 'to', 'the', 'one', 'obtained', 'assuming', 'that', 'the', 'boson', 'bath', 'is', 'initially', 'at', 'thermal', 'equilibrium', 'with', 'this', 'temperature', 'a', 'significant', 'part', 'of', 'our', 'approach', 'is', 'applicable', 'to', 'other', 'baths', 'and', 'we', 'identify', 'the', 'bath', 'features', 'which', 'are', 'requisite', 'for', 'the', 'thermalisation', 'studied']] | [-0.14538798039520665, 0.20343374700310393, -0.11709850404217753, 0.027942474757191978, 0.04441401901294213, -0.15407050411469933, 0.03369576336191483, 0.3161170422853202, -0.25973841829583416, -0.259559376197571, 0.08312806407409597, -0.29296910891449346, -0.011628992484096502, 0.1555006199252571, 0.039001317142988046, 0.056015890893779396, 0.096236581827993, 0.10180793393597093, -0.026656238561377704, -0.2151562490438601, 0.3556035769500398, 0.05704442965811538, 0.25283624271921423, 0.020008731506915622, 0.13783473780680167, -0.007004149349653996, 0.08245899429749375, 0.011826821982408363, -0.10688149536683257, 0.005067624930612679, 0.19049829527240442, 0.06421307098346553, 0.2367176523410602, -0.40274811557337986, -0.21053163496968524, 0.12902802721169276, 0.10177119472198662, 0.15711216666302347, 0.0005880834775669985, -0.24112743188793948, 0.004863754431552232, -0.18723517727925082, -0.1783284174622914, -0.08846181003387608, 0.016776851517002964, -0.01920279664272776, -0.2658719769840511, 0.11314825301806879, 0.09454769113119907, 0.0004538230536064144, -0.10573744754215454, -0.09642054211897398, -0.06848652419941015, 0.13411289032257964, -0.004001183134525196, -0.0210539875094472, 0.18536465890124182, -0.10636450803025782, -0.019557439132642022, 0.3457535196800926, -0.12083192298328774, -0.16867921237394382, 0.23453420333327413, -0.13454578982967602, -0.08327862196413509, 0.12535999567823947, 0.10833747637043627, 0.12087267132629398, -0.21675806163104971, 0.06830132137809078, -0.027889604903649903, 0.20821838128660414, -0.013097125651971625, 0.05856476281365821, 0.22739072293150803, 0.17367898878463775, 0.08469660339521708, 0.22135348420494608, -0.016146996707219436, -0.15892696487475078, -0.31861784943847815, -0.17828569710077397, -0.24112382481975556, 0.11514970538015626, -0.05539010113728975, -0.17561583847044349, 0.39418030728322234, 0.14034488008793639, 0.1568207140053714, 0.02157766186811213, 0.259974245170422, 0.17664295127292332, -0.009803761746949715, 0.10438299831541288, 0.2652166609765391, 0.15142167778281937, 0.12187431043153898, -0.3155835111910811, 0.01749585552485606, 0.008752403861568498] |
709.3769 | On the nature of the z=0 X-ray absorbers: II. The contrast between local
and AGN host galaxy absorption | We search for highly-ionized gas near three AGN host galaxies using the
Chandra low-energy transmission grating spectrograph. Strong absorption lines
from such gas are seen at z=0, most likely from one or more of the following
components: (1) a Galactic corona, (2) the Local Group medium, and (3) an
extended warm-hot intergalactic medium (WHIM) filament passing through our
local overdensity. Since AGNs reside within host galaxies that are also
expected to sit within cosmically overdense regions, similar absorption
resulting from these three components should appear at the AGN redshifts as
well. However, no such absorption is seen. The lack of strong absorption lines
is likely a result of the gas in these host galaxies and surrounding galaxy
clusters being much hotter, and hence more highly ionized, than the gas in the
Local Group+Galaxy system. We conclude that WHIM filaments produce no
measurable absorption lines at the AGN redshifts, and therefore contribute at
most a small fraction of the observed z=0 warm-hot gas.
| astro-ph | we search for highlyionized gas near three agn host galaxies using the chandra lowenergy transmission grating spectrograph strong absorption lines from such gas are seen at z0 most likely from one or more of the following components 1 a galactic corona 2 the local group medium and 3 an extended warmhot intergalactic medium whim filament passing through our local overdensity since agns reside within host galaxies that are also expected to sit within cosmically overdense regions similar absorption resulting from these three components should appear at the agn redshifts as well however no such absorption is seen the lack of strong absorption lines is likely a result of the gas in these host galaxies and surrounding galaxy clusters being much hotter and hence more highly ionized than the gas in the local groupgalaxy system we conclude that whim filaments produce no measurable absorption lines at the agn redshifts and therefore contribute at most a small fraction of the observed z0 warmhot gas | [['we', 'search', 'for', 'highlyionized', 'gas', 'near', 'three', 'agn', 'host', 'galaxies', 'using', 'the', 'chandra', 'lowenergy', 'transmission', 'grating', 'spectrograph', 'strong', 'absorption', 'lines', 'from', 'such', 'gas', 'are', 'seen', 'at', 'z0', 'most', 'likely', 'from', 'one', 'or', 'more', 'of', 'the', 'following', 'components', '1', 'a', 'galactic', 'corona', '2', 'the', 'local', 'group', 'medium', 'and', '3', 'an', 'extended', 'warmhot', 'intergalactic', 'medium', 'whim', 'filament', 'passing', 'through', 'our', 'local', 'overdensity', 'since', 'agns', 'reside', 'within', 'host', 'galaxies', 'that', 'are', 'also', 'expected', 'to', 'sit', 'within', 'cosmically', 'overdense', 'regions', 'similar', 'absorption', 'resulting', 'from', 'these', 'three', 'components', 'should', 'appear', 'at', 'the', 'agn', 'redshifts', 'as', 'well', 'however', 'no', 'such', 'absorption', 'is', 'seen', 'the', 'lack', 'of', 'strong', 'absorption', 'lines', 'is', 'likely', 'a', 'result', 'of', 'the', 'gas', 'in', 'these', 'host', 'galaxies', 'and', 'surrounding', 'galaxy', 'clusters', 'being', 'much', 'hotter', 'and', 'hence', 'more', 'highly', 'ionized', 'than', 'the', 'gas', 'in', 'the', 'local', 'groupgalaxy', 'system', 'we', 'conclude', 'that', 'whim', 'filaments', 'produce', 'no', 'measurable', 'absorption', 'lines', 'at', 'the', 'agn', 'redshifts', 'and', 'therefore', 'contribute', 'at', 'most', 'a', 'small', 'fraction', 'of', 'the', 'observed', 'z0', 'warmhot', 'gas']] | [-0.05375522411073397, 0.11854111329146824, -0.013616418201522327, 0.10604706583965001, -0.09147352541733625, -0.06427071137457258, 0.026825140908728413, 0.48695577354526814, -0.14161140017677099, -0.29631456753445995, 0.016888186030871707, -0.355749728721509, -0.004240073456233482, 0.1584136776401903, 0.07952192618891045, -0.08493256200835063, -0.03843033863130934, -0.11192517938741978, 0.013006856236721815, -0.290259999461633, 0.30563413301758746, 0.08261149339837792, 0.1371036957156051, -0.018000894214636014, 0.04346362078550881, -0.11416352221046655, -0.08641994681624685, 0.021628828559726202, -0.08827380587271039, 0.023614179472694816, 0.2929059272347432, 0.08974139575766009, 0.2415580838661063, -0.3653172273878698, -0.24056839324349974, 0.07477774364977247, 0.27371124825066667, 0.05103117850448154, -0.08676762793182229, -0.2805188978119627, 0.05269342266600924, -0.16006985319387398, -0.17398483024473177, 0.09559691659703759, -0.0177113190839458, -0.0011920801767745964, -0.1624959530596288, 0.16369711772526505, 0.013489797418896846, 0.0887729660198265, -0.07940743072245868, -0.05582568920892951, -0.09505852099715008, 0.03623548881323249, -0.01742639467637572, 0.07055794521677596, 0.2921387117850468, -0.1777361817241152, 0.040370808339413304, 0.45932940474170963, -0.0400564537710046, 0.07228788882810162, 0.3007334368332163, -0.24563715416926568, -0.19088841902586506, 0.23633014617407302, 0.1497992809019684, 0.0756155928182933, -0.1191107239028048, -0.04274737542598612, -0.07975084668335815, 0.23234380979628452, 0.02717459688457534, 0.09973894747379768, 0.35065876353060665, 0.030980666195341375, 0.08552187445124734, 0.06045059517081999, -0.17276294722026328, 0.03605481286326216, -0.23026299556335694, -0.12072762975075432, -0.1080230586403222, 0.07289709481425055, -0.12674098341390894, -0.11760942706044901, 0.2918239651897485, 0.10997767725608737, 0.25685961116795186, 0.01985083407374605, 0.341948101081437, 0.07956245157186424, 0.11073248125727714, 0.18799937064012076, 0.3250410543800688, 0.17454209400306422, 0.07123913665885612, -0.1992017287792592, 0.08686662853636526, 0.00044562160554859374] |
709.377 | Gauge theory in deformed N=(1,1) superspace | We review the non-anticommutative Q-deformations of N=(1,1) supersymmetric
theories in four-dimensional Euclidean harmonic superspace. These deformations
preserve chirality and harmonic Grassmann analyticity. The associated field
theories arise as a low-energy limit of string theory in specific backgrounds
and generalize the Moyal-deformed supersymmetric field theories. A
characteristic feature of the Q-deformed theories is the half-breaking of
supersymmetry in the chiral sector of the Euclidean superspace. Our main focus
is on the chiral singlet Q-deformation, which is distinguished by preserving
the SO(4) Spin(4) ``Lorentz'' symmetry and the SU(2) R-symmetry. We present the
superfield and component structures of the deformed N=(1,0) supersymmetric
gauge theory as well as of hypermultiplets coupled to a gauge superfield:
invariant actions, deformed transformation rules, and so on. We discuss quantum
aspects of these models and prove their renormalizability in the abelian case.
For the charged hypermultiplet in an abelian gauge superfield background we
construct the deformed holomorphic effective action.
| hep-th | we review the nonanticommutative qdeformations of n11 supersymmetric theories in fourdimensional euclidean harmonic superspace these deformations preserve chirality and harmonic grassmann analyticity the associated field theories arise as a lowenergy limit of string theory in specific backgrounds and generalize the moyaldeformed supersymmetric field theories a characteristic feature of the qdeformed theories is the halfbreaking of supersymmetry in the chiral sector of the euclidean superspace our main focus is on the chiral singlet qdeformation which is distinguished by preserving the so4 spin4 lorentz symmetry and the su2 rsymmetry we present the superfield and component structures of the deformed n10 supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield invariant actions deformed transformation rules and so on we discuss quantum aspects of these models and prove their renormalizability in the abelian case for the charged hypermultiplet in an abelian gauge superfield background we construct the deformed holomorphic effective action | [['we', 'review', 'the', 'nonanticommutative', 'qdeformations', 'of', 'n11', 'supersymmetric', 'theories', 'in', 'fourdimensional', 'euclidean', 'harmonic', 'superspace', 'these', 'deformations', 'preserve', 'chirality', 'and', 'harmonic', 'grassmann', 'analyticity', 'the', 'associated', 'field', 'theories', 'arise', 'as', 'a', 'lowenergy', 'limit', 'of', 'string', 'theory', 'in', 'specific', 'backgrounds', 'and', 'generalize', 'the', 'moyaldeformed', 'supersymmetric', 'field', 'theories', 'a', 'characteristic', 'feature', 'of', 'the', 'qdeformed', 'theories', 'is', 'the', 'halfbreaking', 'of', 'supersymmetry', 'in', 'the', 'chiral', 'sector', 'of', 'the', 'euclidean', 'superspace', 'our', 'main', 'focus', 'is', 'on', 'the', 'chiral', 'singlet', 'qdeformation', 'which', 'is', 'distinguished', 'by', 'preserving', 'the', 'so4', 'spin4', 'lorentz', 'symmetry', 'and', 'the', 'su2', 'rsymmetry', 'we', 'present', 'the', 'superfield', 'and', 'component', 'structures', 'of', 'the', 'deformed', 'n10', 'supersymmetric', 'gauge', 'theory', 'as', 'well', 'as', 'of', 'hypermultiplets', 'coupled', 'to', 'a', 'gauge', 'superfield', 'invariant', 'actions', 'deformed', 'transformation', 'rules', 'and', 'so', 'on', 'we', 'discuss', 'quantum', 'aspects', 'of', 'these', 'models', 'and', 'prove', 'their', 'renormalizability', 'in', 'the', 'abelian', 'case', 'for', 'the', 'charged', 'hypermultiplet', 'in', 'an', 'abelian', 'gauge', 'superfield', 'background', 'we', 'construct', 'the', 'deformed', 'holomorphic', 'effective', 'action']] | [-0.15315959212214997, 0.22731483622386198, -0.03916760889192422, 0.11526623302372173, -0.11108081181223194, -0.14701851611646513, -0.08315646407349656, 0.33861576257273557, -0.15413166323987146, -0.20569122658111155, 0.060237117416691036, -0.2605133646354079, -0.20510086942774555, 0.02540245786930124, -0.08298197879766424, 0.025895396467919152, -0.07534704194093744, 0.11456726350511114, -0.13218285916062691, -0.2612119278560082, 0.36055628723154465, -0.04558702965034172, 0.25377836922183633, 0.03338027654370914, 0.12857898783870042, 0.033677776036784055, 0.0008381630666553974, -0.07227111661030601, -0.07877050378049413, 0.1549571004991109, 0.22200420928917688, 0.046036297342119115, 0.025761750744034848, -0.44757281240075825, -0.21762879551077882, 0.09370948518936832, 0.1788797019608319, 0.12969042581428464, -0.0008979385439306498, -0.3374984007390837, -0.008229264421388507, -0.19899738859385252, -0.2016383555694483, -0.1531552184569106, -0.02942183103878051, -0.15663029128297543, -0.207920135371387, 0.0707554169868187, 0.020051770148954044, 0.09944783128487567, -0.06953708262027551, -0.05579672742479791, -0.12581327145919205, 0.031696625497813026, 0.15352918915295352, 0.07708263280801475, 0.19023530855231607, -0.2422277164598927, -0.18395479349419475, 0.4312983370758593, -0.07166296949610114, -0.2849590910940121, 0.10574354021033892, -0.1119948290195316, -0.265682905879803, 0.04616323308437131, 0.09889295567447941, 0.19243977923722316, -0.10226219103652208, 0.31553227865525213, -0.0631733260427912, 0.08627648184541613, 0.08290714626510938, 0.0527428585725526, 0.25108288338407875, 0.06608923718954127, 0.04165348696832855, 0.13990155242073038, 0.046304853558152295, -0.14991967721531788, -0.4957869138071934, -0.1501076027471572, -0.07627494849885504, 0.1416343113904198, -0.1403593553317478, -0.14717858898763855, 0.42120278676350914, 0.10599481762862221, 0.12315762446436565, 0.07264586883053804, 0.16806450522194305, 0.10397274284778783, 0.12431364282810439, -0.04432748135489722, 0.25157618009795746, 0.24519460179687788, 0.013011117768473923, -0.25377192102062207, -0.2732580681703985, 0.23355610976616542] |
709.3771 | Pairing Symmetry of CeCoIn$_5$ Detected by In-plane Torque Measurements | In-plane torque measurements were performed on heavy fermion CeCoIn$_5$
single crystals in the temperature $T$ range 1.8 K $\leq T \leq 10$ K and
applied magnetic field $H$ up to 14 T. The normal-state torque is given by
$\tau_n \propto H^4(1+T/T_K)^{-1}\sin 4\phi$. The reversible part of the
mixed-state torque, obtained after subtracting the corresponding normal state
torque, shows also a four-fold symmetry. In addition, sharp peaks are present
in the irreversible torque at angles of $\pi/$4, 3$\pi$/4, 5$\pi$/4, 7$\pi$/4,
etc. Both the four-fold symmetry in the reversible torque and the sharp peaks
in the irreversible torque of the mixed state imply $d_{xy}$ symmetry of the
superconducting order parameter. The field and temperature dependences of the
reversible mixed-state torque provide further evidence for $d_{xy}$ wave
symmetry. The four-fold symmetry in the normal state has a different origin
since it has different field and temperature dependences than the one in the
mixed state. The possible reasons of the normal state four-fold symmetry are
discussed.
| cond-mat.str-el | inplane torque measurements were performed on heavy fermion cecoin_5 single crystals in the temperature t range 18 k leq t leq 10 k and applied magnetic field h up to 14 t the normalstate torque is given by tau_n propto h41tt_k1sin 4phi the reversible part of the mixedstate torque obtained after subtracting the corresponding normal state torque shows also a fourfold symmetry in addition sharp peaks are present in the irreversible torque at angles of pi4 3pi4 5pi4 7pi4 etc both the fourfold symmetry in the reversible torque and the sharp peaks in the irreversible torque of the mixed state imply d_xy symmetry of the superconducting order parameter the field and temperature dependences of the reversible mixedstate torque provide further evidence for d_xy wave symmetry the fourfold symmetry in the normal state has a different origin since it has different field and temperature dependences than the one in the mixed state the possible reasons of the normal state fourfold symmetry are discussed | [['inplane', 'torque', 'measurements', 'were', 'performed', 'on', 'heavy', 'fermion', 'cecoin_5', 'single', 'crystals', 'in', 'the', 'temperature', 't', 'range', '18', 'k', 'leq', 't', 'leq', '10', 'k', 'and', 'applied', 'magnetic', 'field', 'h', 'up', 'to', '14', 't', 'the', 'normalstate', 'torque', 'is', 'given', 'by', 'tau_n', 'propto', 'h41tt_k1sin', '4phi', 'the', 'reversible', 'part', 'of', 'the', 'mixedstate', 'torque', 'obtained', 'after', 'subtracting', 'the', 'corresponding', 'normal', 'state', 'torque', 'shows', 'also', 'a', 'fourfold', 'symmetry', 'in', 'addition', 'sharp', 'peaks', 'are', 'present', 'in', 'the', 'irreversible', 'torque', 'at', 'angles', 'of', 'pi4', '3pi4', '5pi4', '7pi4', 'etc', 'both', 'the', 'fourfold', 'symmetry', 'in', 'the', 'reversible', 'torque', 'and', 'the', 'sharp', 'peaks', 'in', 'the', 'irreversible', 'torque', 'of', 'the', 'mixed', 'state', 'imply', 'd_xy', 'symmetry', 'of', 'the', 'superconducting', 'order', 'parameter', 'the', 'field', 'and', 'temperature', 'dependences', 'of', 'the', 'reversible', 'mixedstate', 'torque', 'provide', 'further', 'evidence', 'for', 'd_xy', 'wave', 'symmetry', 'the', 'fourfold', 'symmetry', 'in', 'the', 'normal', 'state', 'has', 'a', 'different', 'origin', 'since', 'it', 'has', 'different', 'field', 'and', 'temperature', 'dependences', 'than', 'the', 'one', 'in', 'the', 'mixed', 'state', 'the', 'possible', 'reasons', 'of', 'the', 'normal', 'state', 'fourfold', 'symmetry', 'are', 'discussed']] | [-0.21487834784968557, 0.24573010968006087, -0.02725172931434516, -0.008971093685949763, -0.0662268169365729, -0.1488362704462643, 0.06587247404434182, 0.3573454836312729, -0.25847666730656277, -0.30022923393827816, 0.024044397349699247, -0.29584537549062245, -0.04836952865206271, 0.18076946564597857, 0.042840844158766954, 0.03241201019786959, -0.07417893925198366, 0.056310925012508915, -0.14053650807531823, -0.1891945155773642, 0.2770927444828344, -0.017898071462972256, 0.3220055105689253, 0.0535941056353099, 0.049987567768467564, -0.0259986462151113, 0.10036746125456088, -0.033563614324843394, -0.1580050034696071, -0.045250538913415204, 0.2296100404891598, -0.05787657862352325, 0.1392995831261896, -0.4368834766217425, -0.1553516992208654, 0.057481624020994465, 0.08582402551193026, 0.1163198216936162, -0.06039884100046268, -0.23914375105471927, 0.01854718152634045, -0.1370960587010825, -0.1374973556221333, -0.09153734278405391, 0.05210561506211451, -0.05909840652389051, -0.23813420678621536, 0.16923995538230815, 0.13907217075665115, 0.1344148656412299, -0.06711256150981482, -0.19424196257538906, -0.12722931972622306, 0.031457238288336915, 0.09811112064650117, 0.08730341171951894, 0.1340774902574721, -0.1101997676452834, -0.1044618039380146, 0.310606883386374, -0.060390838745799466, -0.08446238951203472, 0.08247372196232781, -0.21560714298658828, -0.10212717384182482, 0.17729835937468666, 0.08007579558393388, 0.11979570967921489, -0.10814598487407158, 0.09836941951137225, 0.020007193539548766, 0.17257431866836886, 0.0561573370492463, -0.004281344086733423, 0.21997089536648384, 0.11045491687372869, 0.05236025980549947, 0.12839921307750046, -0.1435988541173784, -0.06825570392317752, -0.31667030553180203, -0.15670563381524827, -0.194098846678905, 0.07786710151348519, -0.09667939225563933, -0.08018655171971532, 0.3937082327666539, 0.11011791110474946, 0.21493075808651652, -0.03261499653004487, 0.23647411425945739, 0.12846431881705112, 0.0820187855514851, 0.055513250368906635, 0.2579774118170048, 0.19895395083954157, 0.12941359397601573, -0.3403101644472844, 0.07495745150902886, -0.021275308774489486] |
709.3772 | Star formation in accretion discs : from the Galactic Center to Active
Galactic Nuclei | Keplerian accretion discs around massive black holes (MBHs) are
gravitationally unstable beyond a few hundredths of parsec and should collapse
to form stars. Indeed an accretion/star formation episode took place a few
millions years ago in the Galactic Center (GC). This raises the question of how
the disc can survive in AGN and quasars and continue to transport matter
towards the black hole. We study the accretion/star formation process, with one
aim in mind, to show that a spectrum similar to the observed AGN one can be
produced by the disc. We compute models of stationary accretion discs, both
continuous and clumpy. Continuous discs must be maintained in a state of
marginal stability for the rate of star formation to remain modest, so they
require additional heating and transport of angular momentum. Non-viscous
heating can be provided by stellar illumination, but momentum transport by
supernovae is insufficient to sustain a marginal state, except at the very
periphery of the disc. In clumpy discs it is possible to account for the
required accretion rate through interactions between clouds, but this model is
unsatisfactory as its parameters are tightly constrained without any physical
justification. Finally one must appeal to non-stationary discs with
intermittent accretion episodes like those that occurred in the GC, but such a
model is probably not applicable to luminous high redshift quasars neither to
radio-loud quasars.
| astro-ph | keplerian accretion discs around massive black holes mbhs are gravitationally unstable beyond a few hundredths of parsec and should collapse to form stars indeed an accretionstar formation episode took place a few millions years ago in the galactic center gc this raises the question of how the disc can survive in agn and quasars and continue to transport matter towards the black hole we study the accretionstar formation process with one aim in mind to show that a spectrum similar to the observed agn one can be produced by the disc we compute models of stationary accretion discs both continuous and clumpy continuous discs must be maintained in a state of marginal stability for the rate of star formation to remain modest so they require additional heating and transport of angular momentum nonviscous heating can be provided by stellar illumination but momentum transport by supernovae is insufficient to sustain a marginal state except at the very periphery of the disc in clumpy discs it is possible to account for the required accretion rate through interactions between clouds but this model is unsatisfactory as its parameters are tightly constrained without any physical justification finally one must appeal to nonstationary discs with intermittent accretion episodes like those that occurred in the gc but such a model is probably not applicable to luminous high redshift quasars neither to radioloud quasars | [['keplerian', 'accretion', 'discs', 'around', 'massive', 'black', 'holes', 'mbhs', 'are', 'gravitationally', 'unstable', 'beyond', 'a', 'few', 'hundredths', 'of', 'parsec', 'and', 'should', 'collapse', 'to', 'form', 'stars', 'indeed', 'an', 'accretionstar', 'formation', 'episode', 'took', 'place', 'a', 'few', 'millions', 'years', 'ago', 'in', 'the', 'galactic', 'center', 'gc', 'this', 'raises', 'the', 'question', 'of', 'how', 'the', 'disc', 'can', 'survive', 'in', 'agn', 'and', 'quasars', 'and', 'continue', 'to', 'transport', 'matter', 'towards', 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'accretion', 'rate', 'through', 'interactions', 'between', 'clouds', 'but', 'this', 'model', 'is', 'unsatisfactory', 'as', 'its', 'parameters', 'are', 'tightly', 'constrained', 'without', 'any', 'physical', 'justification', 'finally', 'one', 'must', 'appeal', 'to', 'nonstationary', 'discs', 'with', 'intermittent', 'accretion', 'episodes', 'like', 'those', 'that', 'occurred', 'in', 'the', 'gc', 'but', 'such', 'a', 'model', 'is', 'probably', 'not', 'applicable', 'to', 'luminous', 'high', 'redshift', 'quasars', 'neither', 'to', 'radioloud', 'quasars']] | [-0.09205093393826651, 0.13249364966170915, -0.05795872627369439, 0.15639028603240956, -0.12781342913914057, -0.09256320617058211, 0.030153378898070918, 0.42118780540095435, -0.19827794431398313, -0.3200754510362943, 0.09058953393871585, -0.24695901297912415, -0.005718262824747297, 0.1914445329740637, -0.07467913268108936, 0.0014076396199460659, 0.04970499770534742, -0.07512067081924113, -0.01682069966071544, -0.2903394020359135, 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709.3773 | Transient neutron star X-ray binaries with Simbol-X | We present a brief overview of test-bed observations on accreting neutron
star binaries for the Simbol-X mission. We show that Simbol-X will provide
unique observations able to disclose the physical mechanisms responsible for
their high energy emission.
| astro-ph | we present a brief overview of testbed observations on accreting neutron star binaries for the simbolx mission we show that simbolx will provide unique observations able to disclose the physical mechanisms responsible for their high energy emission | [['we', 'present', 'a', 'brief', 'overview', 'of', 'testbed', 'observations', 'on', 'accreting', 'neutron', 'star', 'binaries', 'for', 'the', 'simbolx', 'mission', 'we', 'show', 'that', 'simbolx', 'will', 'provide', 'unique', 'observations', 'able', 'to', 'disclose', 'the', 'physical', 'mechanisms', 'responsible', 'for', 'their', 'high', 'energy', 'emission']] | [-0.1338338595185731, 0.08780108351965209, -0.09073281553699761, 0.1706717708022208, -0.20335147841959386, -0.09134564356173615, 0.044732452414275425, 0.45090000930468777, -0.14225320507948463, -0.3625081861139955, 0.09498335605934011, -0.31180382147431374, -0.09679979292323461, 0.27709084527718053, -0.033224030574028555, -0.02460181776031449, 0.17691069379184596, -0.08175756672092059, -0.022151669789407705, -0.20676371350418776, 0.3140751536230783, 0.18196579245095318, 0.1315169514131707, 0.08201711307707671, 0.11726115920857803, -0.07332651661331388, -0.04776074233892802, -0.0827210610984145, -0.24268087763060042, 0.05098350779027552, 0.3385483323080415, 0.23644854086828795, 0.16067680333917206, -0.4705468942788807, -0.23058642829592163, 0.017153768775028153, 0.11093282206235705, -0.024737739658637625, -0.14551230415865476, -0.2565486909871971, 0.05236500471427634, -0.23043473575868317, -0.21345629646266634, -0.11685009285606243, -0.004326032273269989, 0.07836144790053368, -0.18516844010131583, -0.048201784189488436, 0.04416761540719685, 0.004594832608425939, -0.21460363002040903, -0.05208255604815644, 0.0519090765533415, 0.10178320108585663, 0.004155235792938116, 0.010713261287860773, 0.14173168676427086, -0.13183586374932044, -0.10422539368674562, 0.40049654325923406, -0.05827996104552939, 0.04540862505500381, 0.22036971679473347, -0.2272646327855418, -0.2331452857627458, 0.1109451557308234, 0.22222561525130594, 0.10285130837881887, -0.17915922564429207, -0.08166704954881523, 0.031128720053144404, 0.20837423215444023, -0.07212225068360567, 0.1499237012546006, 0.4414624102615021, 0.2198909346920413, 0.02910481734402679, 0.15539732575416565, -0.23889806151163537, 0.01861152984201908, -0.298956600886241, -0.11496036741379145, -0.09177140025673686, 0.15560117051810832, -0.04554280006905665, -0.04261422743769111, 0.3594786411000265, 0.2176165002826098, 0.12006394791643361, -0.023831176590426145, 0.3182152989949729, 0.007886444872899636, 0.008134664445360368, 0.07826135790831334, 0.35409319722974625, 0.10361069497476155, 0.1572945533899238, -0.2362341622545107, 0.04413048117547422, -0.04561001161188894] |
709.3774 | Absorbing-state phase transitions: exact solutions of small systems | I derive precise results for absorbing-state phase transitions using exact
(numerically determined) quasistationary probability distributions for small
systems. Analysis of the contact process on rings of 23 or fewer sites yields
critical properties (control parameter, order-parameter ratios, and critical
exponents z and beta/nu_perp) with an accuracy of better than 0.1%; for the
exponent nu_perp the accuracy is about 0.5%. Good results are also obtained for
the pair contact process.
| cond-mat.stat-mech | i derive precise results for absorbingstate phase transitions using exact numerically determined quasistationary probability distributions for small systems analysis of the contact process on rings of 23 or fewer sites yields critical properties control parameter orderparameter ratios and critical exponents z and betanu_perp with an accuracy of better than 01 for the exponent nu_perp the accuracy is about 05 good results are also obtained for the pair contact process | [['i', 'derive', 'precise', 'results', 'for', 'absorbingstate', 'phase', 'transitions', 'using', 'exact', 'numerically', 'determined', 'quasistationary', 'probability', 'distributions', 'for', 'small', 'systems', 'analysis', 'of', 'the', 'contact', 'process', 'on', 'rings', 'of', '23', 'or', 'fewer', 'sites', 'yields', 'critical', 'properties', 'control', 'parameter', 'orderparameter', 'ratios', 'and', 'critical', 'exponents', 'z', 'and', 'betanu_perp', 'with', 'an', 'accuracy', 'of', 'better', 'than', '01', 'for', 'the', 'exponent', 'nu_perp', 'the', 'accuracy', 'is', 'about', '05', 'good', 'results', 'are', 'also', 'obtained', 'for', 'the', 'pair', 'contact', 'process']] | [-0.13273035286777263, 0.1188643230684186, -0.03834877887983685, 0.09196290090719982, 0.03734070983752473, -0.18751733938394033, 0.1226812385738004, 0.3769855517843414, -0.17172259102454004, -0.3061799671959834, 0.06287883128970861, -0.30505471987703786, -0.08147202887356389, 0.2441854020918085, 0.03797242528610471, 0.11071886326037887, 0.03909137746170703, 0.024028597203879686, -0.12198797378527082, -0.2171606438882325, 0.29030234086583706, 0.05968039385650469, 0.26620976763197046, 0.031584228604923985, 0.05942626337291322, 0.00020032772200479025, 0.011058646456702896, 0.0016277381623892681, -0.25539348925720307, 0.038994229217928805, 0.1876115429521356, 0.02959206167176582, 0.1617968843345517, -0.31175972438970767, -0.16729361244031918, 0.09016023487176585, 0.17800674580402023, 0.0494629545778414, -0.0010425246108080382, -0.2863808999047277, 0.134931029441456, -0.12473232805622621, -0.17977171877156134, -0.08676526819666226, 0.0727823528231702, 0.058072715354880886, -0.3312346646528475, 0.16264662503870542, 0.032472652970286814, 0.12410772969757301, -0.05204232941395131, -0.18523456239937872, -0.01718201376227797, 0.1548224644418266, 0.006325359991920329, 0.04558989975898378, 0.15303079967481503, -0.1405226121035715, -0.10736725850543682, 0.3244756620944194, -0.027927215600198986, -0.16632500716841078, 0.17677735445508058, -0.18670535740860994, -0.11270131770710366, 0.2259509846419636, 0.12924365720338782, 0.11092747611067919, -0.11861203120940406, 0.023160438119109884, 0.05194565767854236, 0.19685656372187793, 0.022478557029820007, 0.017053509697965954, 0.15537748514148203, 0.15939379835744266, 0.06195308389547079, 0.08047933236736318, -0.07463538850171735, -0.15530241499452488, -0.2644712596429863, -0.14764098917383808, -0.1345627799063273, 0.0600387029218204, -0.19826015518207196, -0.11023674842537097, 0.32542580466015614, 0.1221549623853365, 0.2402924924036083, 0.1005683567719129, 0.21371269605351964, 0.16592222711314325, -0.032892009108394814, 0.039825378795680794, 0.23299210216256155, 0.12123070009376692, 0.06961183930895683, -0.17871069933112332, 0.09932823490648382, 0.07163532819274974] |
709.3775 | Lower limit on the achievable temperature in resonator-based sideband
cooling | A resonator can be effectively used as a cooler for another linear oscillator
with a much smaller frequency. A huge cooling effect, which could be used to
cool a mechanical oscillator below the energy of quantum fluctuations, has been
predicted by several authors. However, here we show that there is a lower limit
T* on the achievable temperature that was not considered in previous works and
can be higher than the quantum limit in realistic experimental realizations. We
also point out that the decay rate of the resonator, which previous studies
stress should be small, must be larger than the decay rate of the cooled
oscillator for effective cooling.
| cond-mat.mes-hall | a resonator can be effectively used as a cooler for another linear oscillator with a much smaller frequency a huge cooling effect which could be used to cool a mechanical oscillator below the energy of quantum fluctuations has been predicted by several authors however here we show that there is a lower limit t on the achievable temperature that was not considered in previous works and can be higher than the quantum limit in realistic experimental realizations we also point out that the decay rate of the resonator which previous studies stress should be small must be larger than the decay rate of the cooled oscillator for effective cooling | [['a', 'resonator', 'can', 'be', 'effectively', 'used', 'as', 'a', 'cooler', 'for', 'another', 'linear', 'oscillator', 'with', 'a', 'much', 'smaller', 'frequency', 'a', 'huge', 'cooling', 'effect', 'which', 'could', 'be', 'used', 'to', 'cool', 'a', 'mechanical', 'oscillator', 'below', 'the', 'energy', 'of', 'quantum', 'fluctuations', 'has', 'been', 'predicted', 'by', 'several', 'authors', 'however', 'here', 'we', 'show', 'that', 'there', 'is', 'a', 'lower', 'limit', 't', 'on', 'the', 'achievable', 'temperature', 'that', 'was', 'not', 'considered', 'in', 'previous', 'works', 'and', 'can', 'be', 'higher', 'than', 'the', 'quantum', 'limit', 'in', 'realistic', 'experimental', 'realizations', 'we', 'also', 'point', 'out', 'that', 'the', 'decay', 'rate', 'of', 'the', 'resonator', 'which', 'previous', 'studies', 'stress', 'should', 'be', 'small', 'must', 'be', 'larger', 'than', 'the', 'decay', 'rate', 'of', 'the', 'cooled', 'oscillator', 'for', 'effective', 'cooling']] | [-0.08246151764167968, 0.2394461349045875, -0.08392889418323106, 0.04616126476748582, -0.06377577246807584, -0.1562384379890944, 0.05586685599126947, 0.36559910234918286, -0.20113155744764782, -0.2718657070958833, 0.10947276215889243, -0.26126877006587634, -0.07480387114321625, 0.3022416229231642, -0.03569429106113219, 0.046689213287734656, 0.02932212336753589, 0.07468801416422523, -0.057372377396116905, -0.23705025235566934, 0.2251238854593435, 0.1340417200079991, 0.2620269028820234, 0.05270774603539377, 0.03610497642598978, -0.1183791178804096, 0.08136843008612958, 0.06310495530007355, -0.13417320902593627, 0.044375553393924454, 0.2430261862357446, 0.03163688948352334, 0.2805087333801416, -0.41482666637235827, -0.2759262759210713, 0.1536632733966369, 0.1986670599601001, 0.17522985117996984, -0.01895395614774983, -0.22878758096640264, 0.08499997600895959, -0.1926210566825413, -0.08845911829074452, -0.059219373185016695, 0.016172166858210203, -0.008305394724054142, -0.26654724083379455, 0.06268211521278776, 0.07408668973201185, 0.044830084581850865, -0.039206528134746566, -0.11318346680731538, -0.012286263629110582, 0.08182392708547072, 0.0008196895792567675, 0.04403220789951332, 0.20216148476107815, -0.07847453268894225, -0.07407867708542479, 0.3725078815440519, -0.1226060574144283, -0.1712396502699874, 0.17392967220763206, -0.1605076193937673, -0.08070661766463122, 0.154576386102911, 0.13408949708890752, 0.09338821997490088, -0.14117281516018504, 0.017824023948670494, -0.025753624660364533, 0.21632648020509604, 0.07610004413189418, 0.05739102581806413, 0.21250478042836446, 0.1768580681533305, 0.05215691254098276, 0.15849835142393653, -0.06814270468488541, -0.07380244498132565, -0.25842587142294154, -0.13681351305455516, -0.20666041739131197, 0.10747057435739842, -0.0458853582790444, -0.07530351101053417, 0.3490372979121684, 0.1581812331606762, 0.19917003202909997, -0.005620945050645996, 0.3179385655115299, 0.20255497296943134, 0.16236945142149242, 0.06160611588371183, 0.3426555989891154, 0.12090336380381171, 0.06408875034011285, -0.2393143680929249, 0.03459346000908302, -0.013738925030472082] |
709.3776 | Millimeter wave spectral line surveys and line mapping studies of
NGC6334I and I(N) | NGC6334I and I(N) have been observed with the Swedish-ESO Submillimetre
Telescope, SEST, at wavelengths of 3, 2, and 1.3 mm. Especially NGC6334 I shows
rich emission from many different molecules, comparable in line density to
prototypical hot cores such as Orion-KL and SgrB2(N). In addition, a 4' by 4'
region enfolding NGC 6334 I and I(N) has been mapped at a wavelength of 3 mm
(75 to 116 GHz) with the Mopra telescope.
| astro-ph | ngc6334i and in have been observed with the swedisheso submillimetre telescope sest at wavelengths of 3 2 and 13 mm especially ngc6334 i shows rich emission from many different molecules comparable in line density to prototypical hot cores such as orionkl and sgrb2n in addition a 4 by 4 region enfolding ngc 6334 i and in has been mapped at a wavelength of 3 mm 75 to 116 ghz with the mopra telescope | [['ngc6334i', 'and', 'in', 'have', 'been', 'observed', 'with', 'the', 'swedisheso', 'submillimetre', 'telescope', 'sest', 'at', 'wavelengths', 'of', '3', '2', 'and', '13', 'mm', 'especially', 'ngc6334', 'i', 'shows', 'rich', 'emission', 'from', 'many', 'different', 'molecules', 'comparable', 'in', 'line', 'density', 'to', 'prototypical', 'hot', 'cores', 'such', 'as', 'orionkl', 'and', 'sgrb2n', 'in', 'addition', 'a', '4', 'by', '4', 'region', 'enfolding', 'ngc', '6334', 'i', 'and', 'in', 'has', 'been', 'mapped', 'at', 'a', 'wavelength', 'of', '3', 'mm', '75', 'to', '116', 'ghz', 'with', 'the', 'mopra', 'telescope']] | [-0.025552289904898978, 0.08387846641293535, 0.006322791021674463, -0.013826409826846155, 0.003739556645311109, -0.14269964250238382, -0.011895985546687695, 0.48134827848574885, -0.0872436878590347, -0.377002174825701, 0.13965557004031662, -0.3098667601812376, -0.022771417558805584, 0.14286256936212924, 0.030380756450316244, -0.02530632722063934, -0.004829396809489556, -0.14395006290598683, 0.0010056207658187166, -0.14819526982378878, 0.23779578301545284, 0.08513853285933705, 0.1723937845616665, 0.03384159086910013, 0.07753353957597116, -0.18517646921159897, -0.044832797976185196, -0.01546979256688732, -0.10378210925280232, 0.030219629553644215, 0.31580177342442617, 0.10361608788243508, 0.2129051092221108, -0.34468555500832937, -0.20610968063087903, 0.0314036854813896, 0.1985524856191996, 0.0008614911787109832, 0.028685155375669263, -0.3015738306567073, 0.08592545122469533, -0.15352816617256668, -0.1809984886678325, 0.1492311854731955, 0.10410240138817119, 0.03165854300589186, -0.1712271643687703, 0.053099404561193025, -0.07811156257967886, 0.17268913221379664, -0.10481982476601046, -0.22400495286214434, -0.05311869238886013, 0.0642613757063622, -0.10939023975436002, 0.1532316234071216, 0.11415942657534799, -0.11212156085322982, -0.040255101378496784, 0.36739215028331906, -0.099176419550419, 0.04880940470181099, 0.27592864607090817, -0.2533432430594088, -0.2596574726463487, 0.25626190274647653, 0.12039839859082274, 0.11092547436997499, -0.11080417515588797, 0.03645111941285942, -0.0414402656502741, 0.26513506791056834, 0.13950858623656917, 0.06991756275576884, 0.25951792378846095, 0.11178269716655861, 0.010336967232184203, 0.16128399462936677, -0.3516856761623735, -0.055176362120992924, -0.17687192138871305, -0.14116451099247046, -0.11475075955170985, 0.10205209182658272, -0.09646761568489624, -0.008978561064458056, 0.3172735517672327, 0.06856408291687704, 0.2092395325204077, -0.005921384102779708, 0.23649930726889878, -0.016468447302978435, 0.15382826480095926, 0.12663362273461606, 0.28970305897831305, 0.12487660982799142, 0.14889249965956766, -0.16739386471613527, -0.04890302164888341, -0.08025631971644519] |
709.3777 | Muon spin rotation study of the ternary noncentrosymmetric
superconductors Li$_2$Pd$_x$Pt$_{3-x}$B | We investigated the superconducting state of the noncentrosymmetric
superconductors Li$_2$Pd$_x$Pt$_{3-x}$B with superconducting transition
temperature $T_c$= 5.16(8) K ($x$=2.25), 3.56(8) K ($x=1.5$) and 2.60 K ($x=0$)
by means of muon-spin rotation ($\mu$SR) and specific heat experiments. The
$\mu$SR relaxation rate $\sigma_{sc}$ was found to be constant at low
temperatures for all the compounds. Data taken at different magnetic fields
show that the magnetic penetration depth $\lambda$ is field-independent for
Li$_2$Pd$_{2.25}$Pt$_{0.75}$B and Li$_2$Pt$_{3}$B. The electronic contribution
to the specific heat measured in Li$_2$Pd$_{1.5}$Pt$_{1.5}$B and
Li$_2$Pt$_{3}$B increases exponentially at the lowest temperatures. These
features suggest that the {\it whole family} of Li$_2$Pd$_x$Pt$_{3-x}$B are
single-gap s-wave superconductors across the entire doping regime.
| cond-mat.supr-con | we investigated the superconducting state of the noncentrosymmetric superconductors li_2pd_xpt_3xb with superconducting transition temperature t_c 5168 k x225 3568 k x15 and 260 k x0 by means of muonspin rotation musr and specific heat experiments the musr relaxation rate sigma_sc was found to be constant at low temperatures for all the compounds data taken at different magnetic fields show that the magnetic penetration depth lambda is fieldindependent for li_2pd_225pt_075b and li_2pt_3b the electronic contribution to the specific heat measured in li_2pd_15pt_15b and li_2pt_3b increases exponentially at the lowest temperatures these features suggest that the it whole family of li_2pd_xpt_3xb are singlegap swave superconductors across the entire doping regime | [['we', 'investigated', 'the', 'superconducting', 'state', 'of', 'the', 'noncentrosymmetric', 'superconductors', 'li_2pd_xpt_3xb', 'with', 'superconducting', 'transition', 'temperature', 't_c', '5168', 'k', 'x225', '3568', 'k', 'x15', 'and', '260', 'k', 'x0', 'by', 'means', 'of', 'muonspin', 'rotation', 'musr', 'and', 'specific', 'heat', 'experiments', 'the', 'musr', 'relaxation', 'rate', 'sigma_sc', 'was', 'found', 'to', 'be', 'constant', 'at', 'low', 'temperatures', 'for', 'all', 'the', 'compounds', 'data', 'taken', 'at', 'different', 'magnetic', 'fields', 'show', 'that', 'the', 'magnetic', 'penetration', 'depth', 'lambda', 'is', 'fieldindependent', 'for', 'li_2pd_225pt_075b', 'and', 'li_2pt_3b', 'the', 'electronic', 'contribution', 'to', 'the', 'specific', 'heat', 'measured', 'in', 'li_2pd_15pt_15b', 'and', 'li_2pt_3b', 'increases', 'exponentially', 'at', 'the', 'lowest', 'temperatures', 'these', 'features', 'suggest', 'that', 'the', 'it', 'whole', 'family', 'of', 'li_2pd_xpt_3xb', 'are', 'singlegap', 'swave', 'superconductors', 'across', 'the', 'entire', 'doping', 'regime']] | [-0.18264057404779194, 0.26753927433254343, 0.012128391938928802, 0.021976775329676457, -0.05846544312841546, -0.1669934684267411, 0.1329675897409638, 0.37109065514344436, -0.262281293515116, -0.27040661038615954, -0.0006988952753510183, -0.37935493624984074, 0.009172202307336893, 0.22043156110717413, 0.12416121403041941, 0.03131267063928625, -0.09507823738385923, 0.03551298192178365, -0.13812375240601027, -0.2560912350980708, 0.2815309759434268, 0.018823075036589917, 0.35187656228215647, 0.09694954651730278, 0.03069338458254396, -0.07835821881263445, 0.16134364208958757, 0.024027453690695647, -0.20462355384440273, -0.047728958731638085, 0.3361604917042244, -0.07429576344573154, 0.13633703839821884, -0.3699980438866008, -0.24334878111123823, 0.012510584888961883, 0.10892253511925586, 0.09894393287742367, -0.015771416284573767, -0.24709199039408794, 0.09059441314121404, -0.06092941446247725, -0.09467429797782992, -0.1369326385185839, 0.012851053992143044, -0.017103462822538298, -0.2419583335912858, 0.132561145616749, 0.05020750822082986, 0.1659164797478857, -0.15038425902065894, -0.2076333221809294, -0.05271515364382559, 0.004986103642015503, 0.06705808000809227, 0.1043194705226387, 0.1625902245600278, -0.06901402588342674, -0.015808194676467862, 0.2597033958809334, -0.08680271194764198, 0.014688137229173802, 0.12332273272869106, -0.2281118125672667, -0.08292257719669859, 0.1979001730796881, 0.07502753507847396, 0.09938174001245688, -0.14737772203695315, 0.0770598397807939, -0.005843830076628365, 0.19206654966379014, 0.041396601718868345, 0.057084317139994636, 0.22144367527933076, 0.1795036761580447, -0.01485759186415145, 0.131799963636485, -0.15335177342953663, 0.0008179771113925829, -0.22096911655927004, -0.1597266572375352, -0.19695330130567668, 0.047139703683429755, -0.06901052681552336, -0.11479362860196628, 0.3308922223424396, 0.1375559068941444, 0.20889238613353184, -0.0332065963635754, 0.21421532712142485, 0.10620672661808875, 0.11486248083439513, 0.10977396226707452, 0.20707772695459425, 0.17311470478531332, 0.18564127956946883, -0.3822038144157537, 0.07283998891048563, -0.04231493432038965] |
709.3778 | On Deformations of Pasting Diagrams | We adapt the work of Power to describe general, not-necessarily composable,
not-necessarily commutative 2-categorical pasting diagrams and their composable
and commutative parts. We provide a deformation theory for pasting diagrams
valued in $k$-linear categories, paralleling that provided for diagrams of
algebras by Gerstenhaber and Schack, proving the standard results. Along the
way, the construction gives rise to a bicategorical analog of the homotopy
G-algebras of Gerstenhaber and Voronov.
| math.CT | we adapt the work of power to describe general notnecessarily composable notnecessarily commutative 2categorical pasting diagrams and their composable and commutative parts we provide a deformation theory for pasting diagrams valued in klinear categories paralleling that provided for diagrams of algebras by gerstenhaber and schack proving the standard results along the way the construction gives rise to a bicategorical analog of the homotopy galgebras of gerstenhaber and voronov | [['we', 'adapt', 'the', 'work', 'of', 'power', 'to', 'describe', 'general', 'notnecessarily', 'composable', 'notnecessarily', 'commutative', '2categorical', 'pasting', 'diagrams', 'and', 'their', 'composable', 'and', 'commutative', 'parts', 'we', 'provide', 'a', 'deformation', 'theory', 'for', 'pasting', 'diagrams', 'valued', 'in', 'klinear', 'categories', 'paralleling', 'that', 'provided', 'for', 'diagrams', 'of', 'algebras', 'by', 'gerstenhaber', 'and', 'schack', 'proving', 'the', 'standard', 'results', 'along', 'the', 'way', 'the', 'construction', 'gives', 'rise', 'to', 'a', 'bicategorical', 'analog', 'of', 'the', 'homotopy', 'galgebras', 'of', 'gerstenhaber', 'and', 'voronov']] | [-0.15985182031085166, 0.01755843488054405, -0.11470082896652029, 0.12498228492982247, -0.14320865596699364, -0.12785647398627856, 0.015431640222874087, 0.33869510083390836, -0.3653825291309177, -0.18956242719500818, 0.02937163269320188, -0.1740407101700411, -0.17941282284856938, 0.19761415053268566, -0.23420335708514733, -0.07622059740071349, 0.0347750601320192, 0.030141328116074232, -0.08931022119256393, -0.2527089989470208, 0.41626120337476846, 0.0008679273202741409, 0.20798198591049133, 0.03301139993538313, 0.0949850938118556, 0.06296896724276901, -0.08628398700452902, 0.025611776132684422, -0.2105675985227101, 0.19894991565139636, 0.375846329747754, 0.08126183344489511, 0.13665926911155968, -0.3833651818225489, -0.04130607251350097, 0.09013754093800397, 0.1213759007754133, 0.05582821673905367, -0.025072662707637337, -0.3006908937001272, 0.11084231805494603, -0.26932157613063124, -0.08259332095450886, -0.16482846295762368, 0.06385341330486186, -0.018931329921435786, -0.24487877593663357, -0.0568238830413012, 0.19173114542739794, 0.13572652996791637, -0.0745465684997137, -0.06020616342635442, -0.07950489703045391, 0.13178496569504633, -0.10383354338324245, 0.016930028200423455, 0.1255404625005801, -0.07355431692250182, -0.18862352807841756, 0.3301787340246579, -0.014401842757840367, -0.17907979322926088, 0.11911837814156623, -0.1007322896449991, -0.19702769355738864, 0.08107666328878087, -0.02251679139376125, 0.11671655472395394, -0.06676925398984596, 0.24692999742418417, -0.08071441344423767, 0.02864904151818551, 0.13518539959605894, 0.025814973575453384, 0.1365857643677908, 0.070173864992445, 0.048496038091423756, 0.18515620860339635, 0.10566736085371196, -0.11037394063382902, -0.34580730470171306, -0.20993499503760282, 0.003924887507523903, 0.10474023200325011, -0.11566640260057551, -0.22878313568927458, 0.40638503329554465, 0.13431357430732427, 0.1351741973677931, 0.191943879266653, 0.2680361902286463, 0.028467233676244232, 0.10343453730114133, 0.0006094665184397908, 0.1203830677207888, 0.33234218234429136, 0.07422993521151297, -0.08026590148973115, -0.044221765269278825, 0.268930406350752] |
709.3779 | A general scheme for construction of scalar separability criteria from
positive maps | We present a general scheme that allows for construction of scalar
separability criteria from positive but not completely positive maps. The
concept is based on a decomposition of every positive map $\Lambda$ into a
difference of two completely positive maps $\Lambda_1$, $\Lambda_2$, i.e.,
$\Lambda=\Lambda_1-\Lambda_2$. The scheme may be also treated as a
generalization of the known entropic inequalities, which are obtained from the
reduction map. An analysis performed on few classes of states shows that the
new scalar criteria are stronger than the entropic inequalities and
furthermore, when derived from indecomposable maps allow for detection of bound
entanglement.
| quant-ph | we present a general scheme that allows for construction of scalar separability criteria from positive but not completely positive maps the concept is based on a decomposition of every positive map lambda into a difference of two completely positive maps lambda_1 lambda_2 ie lambdalambda_1lambda_2 the scheme may be also treated as a generalization of the known entropic inequalities which are obtained from the reduction map an analysis performed on few classes of states shows that the new scalar criteria are stronger than the entropic inequalities and furthermore when derived from indecomposable maps allow for detection of bound entanglement | [['we', 'present', 'a', 'general', 'scheme', 'that', 'allows', 'for', 'construction', 'of', 'scalar', 'separability', 'criteria', 'from', 'positive', 'but', 'not', 'completely', 'positive', 'maps', 'the', 'concept', 'is', 'based', 'on', 'a', 'decomposition', 'of', 'every', 'positive', 'map', 'lambda', 'into', 'a', 'difference', 'of', 'two', 'completely', 'positive', 'maps', 'lambda_1', 'lambda_2', 'ie', 'lambdalambda_1lambda_2', 'the', 'scheme', 'may', 'be', 'also', 'treated', 'as', 'a', 'generalization', 'of', 'the', 'known', 'entropic', 'inequalities', 'which', 'are', 'obtained', 'from', 'the', 'reduction', 'map', 'an', 'analysis', 'performed', 'on', 'few', 'classes', 'of', 'states', 'shows', 'that', 'the', 'new', 'scalar', 'criteria', 'are', 'stronger', 'than', 'the', 'entropic', 'inequalities', 'and', 'furthermore', 'when', 'derived', 'from', 'indecomposable', 'maps', 'allow', 'for', 'detection', 'of', 'bound', 'entanglement']] | [-0.09841292755136609, 0.10316037402469878, -0.10815941530507894, 0.08244962688673249, -0.04112324989115705, -0.21666771829204293, 0.025633959353863433, 0.30336382506149157, -0.2523980508415903, -0.2419909633106875, 0.10625952432568812, -0.2676923329520517, -0.1654668626528737, 0.24646353208440908, -0.019044072731939733, 0.011009957907455308, 0.04473439075898531, 0.06317963758816145, -0.08566274228315725, -0.22257585981171768, 0.3816379630553289, -0.008301120384463243, 0.23114605086418438, 0.10247593796907031, 0.14498253974930517, -0.035583593694930325, -0.05066796534751751, 0.055942759716085026, -0.1615665506873558, 0.13648333423533382, 0.20493934917434745, 0.17951081977320874, 0.26777613413881285, -0.3267248110802326, -0.17416249212484608, 0.1795217593934634, 0.13066982910303132, 0.1002570458150906, -0.02892818531420614, -0.3075200029534801, 0.07923937838866699, -0.1267076111683736, -0.06884120644203254, -0.1072025275563498, 0.002552992222374495, -0.02827583120812719, -0.3149611702502458, 0.09217469128560303, 0.10940794209113383, 0.04929154256328451, -0.0995913679142511, -0.1456509129873629, -0.028552110934135864, 0.1155226517184186, -0.01692151778368089, -0.00431383613078874, 0.08811529372683347, -0.06439514564141174, -0.11436719402946456, 0.3333238703293764, -0.0784112418372462, -0.27039490008194533, 0.14650390857393492, -0.1100500342341102, -0.15444275438405422, 0.12472884513779867, 0.11607654875486481, 0.15094005719910622, -0.10994005611012524, 0.06526677515203304, -0.0816211155817692, 0.16668120543567502, 0.08694055709721786, 0.05100804453119351, 0.16054236810958508, 0.0222707654026394, 0.1670752694944338, 0.19167815044175415, -0.02416497508862189, -0.06095137120844031, -0.3547428343064931, -0.15205425947841628, -0.1964061585069653, 0.08572050860066713, -0.11510028159326033, -0.1437733250109441, 0.3667803665183393, 0.07584143597846471, 0.1959444857674665, 0.10876032026907505, 0.24391237659051976, 0.11340511348739989, 0.08040035678463102, 0.03954057128890893, 0.21732814697434708, 0.16511034242314648, 0.029286386787283177, -0.14585462092702295, 0.05257461426247444, 0.13132881677747532] |
709.378 | Order parameter for the dynamical phase transition in Bose-Einstein
condensates with topological modes | In a trapped Bose-Einstein condensate, subject to the action of an
alternating external field, coherent topological modes can be resonantly
excited. Depending on the amplitude of the external field and detuning
parameter, there are two principally different regimes of motion, with mode
locking and without it. The change of the dynamic regime corresponds to a
dynamic phase transition. This transition can be characterized by an effective
order parameter defined as the difference between fractional mode populations
averaged over the temporal period of oscillations. The behavior of this order
parameter, as a function of detuning, pumping amplitude, and atomic
interactions is carefully analyzed. A special attention is payed to numerical
calculations for the realistic case of a quadrupole exciting field and the
system parameters accessible in current experiments.
| quant-ph cond-mat.other physics.atom-ph | in a trapped boseeinstein condensate subject to the action of an alternating external field coherent topological modes can be resonantly excited depending on the amplitude of the external field and detuning parameter there are two principally different regimes of motion with mode locking and without it the change of the dynamic regime corresponds to a dynamic phase transition this transition can be characterized by an effective order parameter defined as the difference between fractional mode populations averaged over the temporal period of oscillations the behavior of this order parameter as a function of detuning pumping amplitude and atomic interactions is carefully analyzed a special attention is payed to numerical calculations for the realistic case of a quadrupole exciting field and the system parameters accessible in current experiments | [['in', 'a', 'trapped', 'boseeinstein', 'condensate', 'subject', 'to', 'the', 'action', 'of', 'an', 'alternating', 'external', 'field', 'coherent', 'topological', 'modes', 'can', 'be', 'resonantly', 'excited', 'depending', 'on', 'the', 'amplitude', 'of', 'the', 'external', 'field', 'and', 'detuning', 'parameter', 'there', 'are', 'two', 'principally', 'different', 'regimes', 'of', 'motion', 'with', 'mode', 'locking', 'and', 'without', 'it', 'the', 'change', 'of', 'the', 'dynamic', 'regime', 'corresponds', 'to', 'a', 'dynamic', 'phase', 'transition', 'this', 'transition', 'can', 'be', 'characterized', 'by', 'an', 'effective', 'order', 'parameter', 'defined', 'as', 'the', 'difference', 'between', 'fractional', 'mode', 'populations', 'averaged', 'over', 'the', 'temporal', 'period', 'of', 'oscillations', 'the', 'behavior', 'of', 'this', 'order', 'parameter', 'as', 'a', 'function', 'of', 'detuning', 'pumping', 'amplitude', 'and', 'atomic', 'interactions', 'is', 'carefully', 'analyzed', 'a', 'special', 'attention', 'is', 'payed', 'to', 'numerical', 'calculations', 'for', 'the', 'realistic', 'case', 'of', 'a', 'quadrupole', 'exciting', 'field', 'and', 'the', 'system', 'parameters', 'accessible', 'in', 'current', 'experiments']] | [-0.21446679089599707, 0.24864483719501887, -0.05538039133328519, 0.035819968190337496, -0.049259370163552404, -0.11451010852978807, 0.05713024551202873, 0.37108459622841183, -0.26357906038953566, -0.301653945363882, 0.06230272924138864, -0.22686810015084766, -0.09882497894541016, 0.19308837842174226, 0.018737689822024894, 0.02359505784358668, -0.0031089205368179974, 0.041156727829801405, -0.038174195578073174, -0.166539222181694, 0.3377796731390587, 0.021634025774221487, 0.28961076816969267, 0.009392036114064023, 0.07819663752677052, -0.012189219788259526, 0.058008036886728696, 0.030784315378295155, -0.1292806550023727, 0.026314608257733227, 0.22760137822020682, -0.010362769926689185, 0.2606426284054485, -0.4031391869643776, -0.21098520898252843, 0.10555558169524618, 0.16738303082350708, 0.14375721940433417, -0.01697275581985976, -0.3133216582323006, -0.02944902373903145, -0.17264791327257326, -0.13350908255468555, -0.09383260109278513, 0.0610333053371319, 0.030457609485262844, -0.3209564937351961, 0.07039932605574883, 0.033322104014544274, 0.09159959668029369, -0.06625537692723195, -0.035140986454409114, -0.02835973326344131, 0.11683159552910548, 0.06307036640474528, 0.06672470506801322, 0.15715876333122178, -0.16090708401230142, -0.0903706644170397, 0.3530653284671973, -0.11173978568912726, -0.19015178927880397, 0.1508721206850541, -0.1537197231513074, -0.019547023718780653, 0.15243865825936168, 0.1590728480442185, 0.11683928929122649, -0.08869408011641794, 0.056034080836349934, 0.02493132988914965, 0.21234912423446306, 0.0768552717485091, 0.0602338167978084, 0.23724185472984952, 0.17590885992917255, 0.03330647341327698, 0.1660239063496665, -0.08904007042567502, -0.12458943827884404, -0.28016494416565757, -0.07243717293159699, -0.1699543760362536, 0.016379181944625818, -0.06639609889514143, -0.1433179828807653, 0.454906485630126, 0.12007347462097491, 0.18447770097652288, -0.05505721479302316, 0.2954490620158906, 0.2015807937269693, 0.04469818432000008, -0.019415607343622167, 0.30126202015543546, 0.1448857537324093, 0.08082050230174406, -0.30506357563087555, 0.018600516541912332, 0.0031185963917083627] |
709.3781 | Star cluster "infant mortality" in the Small Magellanic Cloud
(Redivivus) | The early evolution of star clusters in the Small Magellanic Cloud (SMC) has
been the subject of significant recent controversy, particularly regarding the
importance and length of the earliest, largely mass-independent disruption
phase (referred to as "infant mortality"). Here, we take a fresh approach to
the problem, using an independent, homogeneous data set of UBVR imaging
observations, from which we obtain the SMC's cluster age and mass distributions
in a self-consistent manner. We conclude that the (optically selected) SMC star
cluster population has undergone at most ~30 per cent (1 sigma) infant
mortality between the age range from about (3-10) Myr, to that of approximately
(40-160) Myr. We rule out a 90 per cent cluster mortality rate per decade of
age (for the full age range up to 10^9 yr) at a > 6 sigma level. We
independently affirm this scenario based on the age distribution of the SMC
cluster sample.
| astro-ph | the early evolution of star clusters in the small magellanic cloud smc has been the subject of significant recent controversy particularly regarding the importance and length of the earliest largely massindependent disruption phase referred to as infant mortality here we take a fresh approach to the problem using an independent homogeneous data set of ubvr imaging observations from which we obtain the smcs cluster age and mass distributions in a selfconsistent manner we conclude that the optically selected smc star cluster population has undergone at most 30 per cent 1 sigma infant mortality between the age range from about 310 myr to that of approximately 40160 myr we rule out a 90 per cent cluster mortality rate per decade of age for the full age range up to 109 yr at a 6 sigma level we independently affirm this scenario based on the age distribution of the smc cluster sample | [['the', 'early', 'evolution', 'of', 'star', 'clusters', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'has', 'been', 'the', 'subject', 'of', 'significant', 'recent', 'controversy', 'particularly', 'regarding', 'the', 'importance', 'and', 'length', 'of', 'the', 'earliest', 'largely', 'massindependent', 'disruption', 'phase', 'referred', 'to', 'as', 'infant', 'mortality', 'here', 'we', 'take', 'a', 'fresh', 'approach', 'to', 'the', 'problem', 'using', 'an', 'independent', 'homogeneous', 'data', 'set', 'of', 'ubvr', 'imaging', 'observations', 'from', 'which', 'we', 'obtain', 'the', 'smcs', 'cluster', 'age', 'and', 'mass', 'distributions', 'in', 'a', 'selfconsistent', 'manner', 'we', 'conclude', 'that', 'the', 'optically', 'selected', 'smc', 'star', 'cluster', 'population', 'has', 'undergone', 'at', 'most', '30', 'per', 'cent', '1', 'sigma', 'infant', 'mortality', 'between', 'the', 'age', 'range', 'from', 'about', '310', 'myr', 'to', 'that', 'of', 'approximately', '40160', 'myr', 'we', 'rule', 'out', 'a', '90', 'per', 'cent', 'cluster', 'mortality', 'rate', 'per', 'decade', 'of', 'age', 'for', 'the', 'full', 'age', 'range', 'up', 'to', '109', 'yr', 'at', 'a', '6', 'sigma', 'level', 'we', 'independently', 'affirm', 'this', 'scenario', 'based', 'on', 'the', 'age', 'distribution', 'of', 'the', 'smc', 'cluster', 'sample']] | [-0.0565708632755559, 0.1045138488097776, -0.0844768568314612, 0.08431051279651001, -0.05058433800004423, -0.013868992858333514, 0.16800710517602663, 0.3945731694748004, -0.2111053214012645, -0.3805558589970072, 0.08314636147736261, -0.26067275752158214, -0.0031709460665782295, 0.1799649517859022, -0.07388485739318033, -0.042853174780029805, 0.10580007589732607, 0.007075699418783188, -0.027654881964748104, -0.34307738856102027, 0.24557525130609673, 0.08141857209304969, 0.17675448525696993, -0.020353621573497852, 0.11092250913769627, -0.06079732768237591, -0.0539109548315173, -0.0664668052092505, -0.16875677515025017, 0.04839748171895432, 0.21965849781564126, 0.16105894346444985, 0.32373810642709333, -0.3620307994196871, -0.1987230440089479, 0.07545167420369883, 0.212521886274529, 0.052957256910546376, -0.0675345635949634, -0.24114616653261087, 0.09829366715469708, -0.2622456245372693, -0.15140432422980665, 0.12098375431844033, 0.11484850699237237, -0.033567480988179646, -0.2088273822851867, 0.22293528729428846, -0.049368979123731456, 0.11828253292478622, -0.11922427429041514, -0.16419263815817733, -0.001568167406755189, 0.1250213636054347, 0.026172200832758487, 0.1042780299455626, 0.15235168146008315, -0.11499205371209731, -0.02213639041874558, 0.35276525671904285, -0.04694886778170864, -0.0029780873563140632, 0.19019689508068646, -0.2002238174279531, -0.1953340281949689, 0.1287909746915102, 0.16098161017522217, 0.10287900268100202, -0.21501950503637393, -0.01659680460036422, -0.005736938311407963, 0.24788834737613796, 0.06296055687746654, 0.008031444077690443, 0.27996229684601226, 0.18106730472141255, 0.0004760331272458037, 0.0739294449115793, -0.23236130074442674, -0.13163553962484, -0.21932194346329198, -0.09124256886619454, -0.08691443144343794, 0.11255342139552037, -0.1539691709880329, -0.09936806741481026, 0.30069685538609825, 0.14795967624367526, 0.20398731616636118, 0.07285577940521762, 0.2406230373804768, 0.06347460763383424, 0.13248445524523655, 0.08869684630228827, 0.22530992716240386, 0.15827136428793892, 0.05481832788946728, -0.2015152818422454, 0.11803706266063575, -0.03779715879044185] |
709.3782 | Aharonov-Bohm interactions of a vector unparticle | Recently Georgi argued that hypothetical conformally invariant hidden sector
weakly interacting with ordinary particles will have unusual manifestations at
low energies in terms of effective degrees of freedom called unparticles. In
this note we consider Aharonov-Bohm type of interactions due to the vector
unparticle coupled to elementary fermions. We have found that quantum
mechanical phase shift is path-dependent.
| hep-ph hep-th quant-ph | recently georgi argued that hypothetical conformally invariant hidden sector weakly interacting with ordinary particles will have unusual manifestations at low energies in terms of effective degrees of freedom called unparticles in this note we consider aharonovbohm type of interactions due to the vector unparticle coupled to elementary fermions we have found that quantum mechanical phase shift is pathdependent | [['recently', 'georgi', 'argued', 'that', 'hypothetical', 'conformally', 'invariant', 'hidden', 'sector', 'weakly', 'interacting', 'with', 'ordinary', 'particles', 'will', 'have', 'unusual', 'manifestations', 'at', 'low', 'energies', 'in', 'terms', 'of', 'effective', 'degrees', 'of', 'freedom', 'called', 'unparticles', 'in', 'this', 'note', 'we', 'consider', 'aharonovbohm', 'type', 'of', 'interactions', 'due', 'to', 'the', 'vector', 'unparticle', 'coupled', 'to', 'elementary', 'fermions', 'we', 'have', 'found', 'that', 'quantum', 'mechanical', 'phase', 'shift', 'is', 'pathdependent']] | [-0.19784688670188189, 0.3520561209076951, -0.08200504196956272, 0.13205577918641462, -0.12469518784000057, -0.19841774392487674, -0.0317139869780633, 0.29137202058437056, -0.20459954001426953, -0.29115893747978683, -0.04697305388379328, -0.314412635718954, -0.20527981112586688, 0.03696920438509049, -0.01789260954307071, -0.012229998467554307, 0.006849792601283768, 0.08667481053170972, -0.03985184472022128, -0.23656914475903815, 0.34135648080725867, 0.031061042563845242, 0.2344801438137375, 0.04554849527455095, 0.1406909484287788, 0.03912846206944307, 0.027577722541474062, -0.004067865906861322, -0.10630966908552339, 0.06908632775142404, 0.22962597283887967, -0.04935137301298051, 0.15146703566906267, -0.3993533291725506, -0.21857351617052637, 0.15978138413729853, 0.1860410177052535, 0.10503813125803296, -0.060528165309545426, -0.3163231617835318, 0.01566463628992567, -0.1981388190118917, -0.20422159625891725, -0.12938596440703962, 0.026837665411033506, -0.07267438920600147, -0.20800244170722776, 0.09827980344286108, 0.0023161624558269978, 0.04650836285396383, 0.007454476255024302, -0.09856432820228732, -0.00961147878993431, -0.04520798927365706, 0.10548722973807939, 0.007010150660664357, 0.1297008362197285, -0.15622071267089582, -0.17604215048125077, 0.39306784756802793, -0.11592064407686221, -0.23804209047350391, 0.24146057780960511, -0.12246503595840828, -0.18438189870934804, 0.14532248515250354, 0.17466202067564532, 0.05710513992355494, -0.20361673841574068, 0.17389733039679664, -0.051065117506117655, 0.12789604381722366, 0.04345911354276127, 0.16273318251177413, 0.27836238960574927, 0.10476460728537419, 0.01172127825978758, 0.14778780995803917, 0.004388242646859124, -0.15946017560581194, -0.319668962523855, -0.1473603579857997, -0.13712521006578002, 0.10866525982795604, -0.00972192647770561, -0.1470270963979821, 0.3689522088569557, 0.1496729991250222, 0.12138319831213047, -0.03878063661977649, 0.18583370825468465, 0.14068877936244525, 0.09927623052599616, 0.038840747141311395, 0.3332248829497859, 0.17053348970888504, 0.10665520924496753, -0.21814064197402833, -0.03360142065051558, 0.09363384154657352] |
709.3783 | Measurement of Absolute Hadronic Branching Fractions of D Mesons and e^+
e^- --> D D-bar Cross Sections at the psi(3770) | Using 281 /pb of e^+ e^- collisions recorded at the psi(3770) resonance with
the CLEO-c detector at CESR, we determine absolute hadronic branching fractions
of charged and neutral D mesons using a double tag technique. Among
measurements for three D^0 and six D^+ modes, we obtain reference branching
fractions B(D^0 --> K^-pi^+) = (3.891 +- 0.035 +- 0.059 +- 0.035)% and B(D^+
--> K^-pi^+pi^+) = (9.14 +- 0.10 +- 0.16 +- 0.07)%, where the first uncertainty
is statistical, the second is all systematic errors other than final state
radiation (FSR), and the third is the systematic uncertainty due to FSR. We
include FSR in these branching fractions by allowing for additional unobserved
photons in the final state. Using an independent determination of the
integrated luminosity, we also extract the cross sections sigma(e+e- --> D^0
D^0-bar) = (3.66+- 0.03 +- 0.06) nb and sigma(e+e- --> D^+ D^-) = (2.91+- 0.03
+- 0.05) nb at a center of mass energy, E_cm = 3774 +- 1 MeV.
| hep-ex | using 281 pb of e e collisions recorded at the psi3770 resonance with the cleoc detector at cesr we determine absolute hadronic branching fractions of charged and neutral d mesons using a double tag technique among measurements for three d0 and six d modes we obtain reference branching fractions bd0 kpi 3891 0035 0059 0035 and bd kpipi 914 010 016 007 where the first uncertainty is statistical the second is all systematic errors other than final state radiation fsr and the third is the systematic uncertainty due to fsr we include fsr in these branching fractions by allowing for additional unobserved photons in the final state using an independent determination of the integrated luminosity we also extract the cross sections sigmaee d0 d0bar 366 003 006 nb and sigmaee d d 291 003 005 nb at a center of mass energy e_cm 3774 1 mev | [['using', '281', 'pb', 'of', 'e', 'e', 'collisions', 'recorded', 'at', 'the', 'psi3770', 'resonance', 'with', 'the', 'cleoc', 'detector', 'at', 'cesr', 'we', 'determine', 'absolute', 'hadronic', 'branching', 'fractions', 'of', 'charged', 'and', 'neutral', 'd', 'mesons', 'using', 'a', 'double', 'tag', 'technique', 'among', 'measurements', 'for', 'three', 'd0', 'and', 'six', 'd', 'modes', 'we', 'obtain', 'reference', 'branching', 'fractions', 'bd0', 'kpi', '3891', '0035', '0059', '0035', 'and', 'bd', 'kpipi', '914', '010', '016', '007', 'where', 'the', 'first', 'uncertainty', 'is', 'statistical', 'the', 'second', 'is', 'all', 'systematic', 'errors', 'other', 'than', 'final', 'state', 'radiation', 'fsr', 'and', 'the', 'third', 'is', 'the', 'systematic', 'uncertainty', 'due', 'to', 'fsr', 'we', 'include', 'fsr', 'in', 'these', 'branching', 'fractions', 'by', 'allowing', 'for', 'additional', 'unobserved', 'photons', 'in', 'the', 'final', 'state', 'using', 'an', 'independent', 'determination', 'of', 'the', 'integrated', 'luminosity', 'we', 'also', 'extract', 'the', 'cross', 'sections', 'sigmaee', 'd0', 'd0bar', '366', '003', '006', 'nb', 'and', 'sigmaee', 'd', 'd', '291', '003', '005', 'nb', 'at', 'a', 'center', 'of', 'mass', 'energy', 'e_cm', '3774', '1', 'mev']] | [-0.08120409343178396, 0.20732313202270547, -0.05974832789908195, 0.05714229603442524, 0.024937804406789804, -0.12721771498307072, 0.15568344239145518, 0.30777540207551474, -0.16745968732725958, -0.3462098816409707, -0.03365748763437672, -0.42275089482808936, 0.14450804075097728, 0.13393285335683874, 0.051224253442266894, 0.1043227221078143, 0.10233485893765866, 0.007600980023211189, -0.05618333422803673, -0.15314133553605142, 0.1791208361211265, 0.0056396767388676005, 0.22853675959952946, 0.07096655007837148, 0.02577883080611455, 0.032771467597320164, -0.056577043408720655, -0.09129687169052918, -0.22396786317454073, 0.0376753140869149, 0.24541652886807147, 0.05204417169899961, 0.13338167115018285, -0.22569793128761753, 0.023294463615607598, 0.15421939038767896, 0.14744570859675776, 0.037561253736052534, 0.040097900277710166, -0.3397523826084517, 0.16168261012383575, -0.20490992254866608, -0.07796812387472339, 0.032581984566460394, 0.09840199772332762, -0.11072754410320315, -0.3371965901219639, 0.17598742805883, -0.08327436112991438, 0.08328688731336774, -0.062421712170531655, -0.31834956232843725, -0.06066869382810747, -0.015065917231399438, -0.016987857458599168, 0.1372404212268583, 0.20791010014263206, -0.020036505491087406, -0.1255962581710954, 0.36201576222625464, -0.08151410619682102, -0.13248734793237887, 0.09925012608090865, -0.2199021213045665, -0.13220125322454962, 0.23952089075063324, 0.23537344969809054, 0.04713257825531965, -0.2075595397630642, 0.058632647780428544, 0.051970156099534884, 0.2562820302258278, 0.10740325827922287, 0.0663255504396712, 0.16141778546032207, 0.16871626237086182, -0.0617947016939007, 0.018001831059970348, -0.20186404220213922, 0.02521130118583297, -0.3525928937227883, -0.11078924324267127, -0.03978257856315708, 0.12930178808947576, -0.101830725808094, -0.0168982129222874, 0.2864221898228701, 0.03269141375825837, 0.321773425868616, -0.008169046866482703, 0.2678498179876599, 0.08469902243352784, -0.006505822194419031, 0.06587354616454706, 0.3593719433029664, 0.227942788705294, 0.1097233531161629, -0.25413491768814656, 0.03558941600715806, -0.02667515137521871] |
709.3784 | A Field of Generalised Puiseux Series for Tropical Geometry | In this paper we define a field K of characteristic zero with valuation whose
value group is the real numbers, and we show that this field of generalised
Puiseux series is algebraically closed and complete with respect to the norm
induced by its valuation. We consider this field to be a good candidate for the
base field for tropical geometry.
| math.AC math.AG | in this paper we define a field k of characteristic zero with valuation whose value group is the real numbers and we show that this field of generalised puiseux series is algebraically closed and complete with respect to the norm induced by its valuation we consider this field to be a good candidate for the base field for tropical geometry | [['in', 'this', 'paper', 'we', 'define', 'a', 'field', 'k', 'of', 'characteristic', 'zero', 'with', 'valuation', 'whose', 'value', 'group', 'is', 'the', 'real', 'numbers', 'and', 'we', 'show', 'that', 'this', 'field', 'of', 'generalised', 'puiseux', 'series', 'is', 'algebraically', 'closed', 'and', 'complete', 'with', 'respect', 'to', 'the', 'norm', 'induced', 'by', 'its', 'valuation', 'we', 'consider', 'this', 'field', 'to', 'be', 'a', 'good', 'candidate', 'for', 'the', 'base', 'field', 'for', 'tropical', 'geometry']] | [-0.19868967952206731, 0.07575271767564118, -0.10371871667884988, 0.022061518306145445, -0.11125014713034034, -0.08210502814035862, -0.0002656418558520575, 0.3686441087474426, -0.3422484411547581, -0.2293270916028026, 0.08058894354035147, -0.20533609952932844, -0.14789365540103366, 0.19577053158233562, -0.08590392420689265, -0.061725127480652495, -0.032721703476272526, 0.17607805197282383, -0.032910143207603444, -0.28732583004748447, 0.39684220515191554, -0.0030910218755404156, 0.20561774101806804, 0.02753444396269818, 0.08743776412059863, 0.004999187309294939, 0.031454738803828756, 0.131638709983478, -0.15321780972941876, 0.13920575691348253, 0.2906093010368446, 0.11388749293982983, 0.254744753241539, -0.3914921973521511, -0.15026473631151022, 0.20930294981226324, 0.06591799624729902, 0.03505867160856724, -0.03535424442961812, -0.22687875611397126, 0.15459461109324668, -0.15767643444317703, -0.18430125361774116, -0.09400898776948452, 0.06124048801138997, 0.036278645321726796, -0.31803246422981224, -0.01186354539046685, 0.02729863574107488, 0.19213159216257433, -0.06671912937308662, -0.08916030912660063, 0.051173287179941934, 0.0455524543300271, 0.0661269574406712, 0.0936630108471339, 0.06382971847585092, -0.11334790368952478, -0.09875482366575548, 0.3514014059212059, -0.13749166523727277, -0.1923445099654297, 0.0968268078751862, -0.20230940177571027, -0.06211787099018693, 0.14690260048955678, 0.12921696106592814, 0.16009927795579035, -0.06780887042793135, 0.16833480787269461, -0.12192577895863603, 0.08867571437731385, 0.029779225944851835, -0.02296030547004193, 0.19475685885796945, 0.06191659568188091, 0.07476568969432265, 0.17013873902421134, -0.03960000991355628, -0.0953303114666293, -0.36961628099282584, -0.23264050799965239, -0.14465994347507755, 0.1357846678244338, -0.05850602887367131, -0.20973608152319986, 0.4485057730227709, 0.11650025597773492, 0.21284324279986322, 0.09425741035180787, 0.26797334655420857, 0.1494962357605497, 0.04379938958057513, 0.0699256141204387, 0.13003745481837542, 0.18901114141335712, 0.008280034270137548, -0.18631211606940876, -0.027732311623791854, 0.051593293769595525] |
709.3785 | The j-invariant of a plane tropical cubic | Several results in tropical geometry have related the j-invariant of an
algebraic plane curve of genus one to the cycle length of a tropical curve of
genus one. In this paper, we prove that for a plane cubic over the field of
Puiseux series the negative of the generic valuation of the $j$-invariant is
equal to the cycle length of the tropicalization of the curve, if there is a
cycle at all.
| math.AG math.CO | several results in tropical geometry have related the jinvariant of an algebraic plane curve of genus one to the cycle length of a tropical curve of genus one in this paper we prove that for a plane cubic over the field of puiseux series the negative of the generic valuation of the jinvariant is equal to the cycle length of the tropicalization of the curve if there is a cycle at all | [['several', 'results', 'in', 'tropical', 'geometry', 'have', 'related', 'the', 'jinvariant', 'of', 'an', 'algebraic', 'plane', 'curve', 'of', 'genus', 'one', 'to', 'the', 'cycle', 'length', 'of', 'a', 'tropical', 'curve', 'of', 'genus', 'one', 'in', 'this', 'paper', 'we', 'prove', 'that', 'for', 'a', 'plane', 'cubic', 'over', 'the', 'field', 'of', 'puiseux', 'series', 'the', 'negative', 'of', 'the', 'generic', 'valuation', 'of', 'the', 'jinvariant', 'is', 'equal', 'to', 'the', 'cycle', 'length', 'of', 'the', 'tropicalization', 'of', 'the', 'curve', 'if', 'there', 'is', 'a', 'cycle', 'at', 'all']] | [-0.24711547927775732, 0.05318660647531538, -0.125690964949576, 0.03025635811273888, -0.05299834161350089, -0.0962884988855674, -0.001110370670277108, 0.30092512822658235, -0.3542622295725677, -0.18740391951157814, 0.09861881819152687, -0.2813798901107576, -0.1694448372711324, 0.3028037797970076, -0.1366844477856325, -0.018447270539278787, 0.016926826973859634, 0.13343266097621787, -0.05209733859778175, -0.3557424626778811, 0.37314796816402424, -0.03523785146211998, 0.17814897801468355, 0.06489091640752223, 0.10474557393333978, 0.013810261294970082, 0.054700550235187016, 0.027192686348118715, -0.15097299335815884, 0.14454030654289657, 0.28457994306356543, 0.12719498482571603, 0.16341673749654242, -0.38771142474272186, -0.1946636225717763, 0.21923529122593916, 0.07312812903870104, 0.0231145334093728, 0.058749847097917356, -0.08383493769603471, 0.09065674130235696, -0.08957066092666031, -0.2224675665687149, 0.016576262591924105, 0.1010026370333637, 0.025695603871200647, -0.15892817564276307, -0.04015386537907438, 0.09482263771092726, 0.22314922551676217, -0.003969206216020716, -0.11186479172869844, -0.08107271229770656, 0.06179914705636394, 0.060105837189540684, 0.10828143186841367, 0.024829589820001274, -0.12533087440856938, -0.10721849137917161, 0.3518192457138664, -0.07143271688578857, -0.12785025155689153, 0.06280695502128866, -0.19621792898720336, -0.11197815519861049, 0.21538395274223554, 0.12608369182433105, 0.15119173155269688, -0.02869915382729636, 0.12573253186160904, -0.12100518588623446, 0.1293821085580728, 0.12082139882517771, -0.09466364365976511, 0.2080804572906345, 0.08522876916686073, 0.09578802694320782, 0.1566520385191931, -0.06592838080703384, -0.08370772144472641, -0.36872726844416726, -0.20576100586913526, -0.13607133605627394, 0.11748690243499975, -0.16348171490244567, -0.22295229954438078, 0.5262702779016561, 0.06665640541662772, 0.1975204058819347, 0.09353722272337311, 0.27842739198563826, 0.11345064680143777, 0.03783841967136444, 0.058927393026856914, 0.1718167096065978, 0.17443244111685394, 0.018610208080240734, -0.18267281082484665, 0.01156257358767713, 0.15496521740634409] |
709.3786 | Geometric incidence theorems via Fourier analysis | We prove that non-trivial bounds for generalized Radon transforms imply
correspondingly non-trivial discrete incidence theorems for manifolds and
suitably regular point sets.
| math.CA | we prove that nontrivial bounds for generalized radon transforms imply correspondingly nontrivial discrete incidence theorems for manifolds and suitably regular point sets | [['we', 'prove', 'that', 'nontrivial', 'bounds', 'for', 'generalized', 'radon', 'transforms', 'imply', 'correspondingly', 'nontrivial', 'discrete', 'incidence', 'theorems', 'for', 'manifolds', 'and', 'suitably', 'regular', 'point', 'sets']] | [-0.10549577825110067, 0.13873830585825173, -0.12501557484607806, 0.2335217142138969, -0.08327822738581082, -0.1716824728064239, 0.07216471814635125, 0.3587579070167108, -0.28165293721990153, -0.13513323044489053, 0.19421050864779812, -0.2682488859123127, -0.17156001878902316, 0.30962784914299846, -0.1496476684273644, 0.09120062306861985, 0.06823106194761666, 0.01831419456919486, -0.1672130829802799, -0.21493597114352847, 0.43716712279075925, -0.15044652254172516, 0.316626559604298, 0.09809796973554925, 0.137771809134971, 0.04129419729790904, -0.04019420754841783, 0.045520196816968644, -0.20308074559546763, 0.07504263976906342, 0.2676318858496167, 0.08209239711603997, 0.12721446897326547, -0.411018569869074, -0.15145141081037847, 0.224556424993683, 0.05741905943829228, -0.005331951151178641, -0.0947859019824219, -0.3393620934168046, 0.15370106489651583, -0.03390361724252051, -0.24193790404189547, -0.17092911043966358, 0.016008546491238205, 0.061374613803557375, -0.3087179500143975, 0.04490298092026602, 0.20594150386750698, 0.02485885534604842, -0.0877502236134288, -0.15155948982150716, -0.04530279514041136, 0.028299559373408556, -0.0003019599032334306, -0.04701649092815139, 0.041099139002405784, 0.02556131814013828, -0.11303077536550435, 0.2566186147318645, -0.010033858601342548, -0.2669273994185708, 0.0932471499862996, -0.16337111008099534, -0.24133819942785936, 0.13652840747751974, 0.1356352492531931, 0.10613903348249468, -0.04229194874113256, 0.21232757865271362, -0.11720643869855187, 0.07083612350900446, 0.2326351705599915, 0.08424289839934897, 0.13667560114779256, -0.045327917842025105, 0.28321129686876456, 0.18524231753227385, -0.01606035243656317, -0.09300741654905406, -0.33844513403759763, -0.14911120892925697, -0.16399445342407984, 0.12536711245775223, -0.20528304244494808, -0.2640517286226069, 0.29710172819481656, -0.025116604477675122, 0.11724033333699811, 0.22099278075620532, 0.12158657788214358, 0.17958105871961874, -0.028601910749619656, 0.10027993885292248, 0.09890904709358107, 0.19374482435258952, -0.03240035954778167, -0.04778657658872279, -0.0779363341121511, 0.24250100603835148] |
709.3787 | Rabi-like oscillations of an anharmonic oscillator: classical versus
quantum interpretation | We have observed Rabi-like oscillations in a current-biased dc SQUID
presenting enhanced coherence times compared to our previous realization
\cite{Claudon_PRL04}. This Josephson device behaves as an anharmonic oscillator
which can be driven into a coherent superposition of quantum states by resonant
microwave flux pulses. Increasing the microwave amplitude, we study the
evolution of the Rabi frequency from the 2-level regime to the regime of
multilevel dynamics. When up to 3 levels are involved, the Rabi frequency is a
clear signature of quantum behavior. At higher excitation amplitude, classical
and quantum predictions for the Rabi frequency converge. This result is
discussed in the light of a calculation of the Wigner function. In particular,
our analysis shows that pronounced quantum interferences always appear in the
course of the Rabi-like oscillations.
| cond-mat.mes-hall | we have observed rabilike oscillations in a currentbiased dc squid presenting enhanced coherence times compared to our previous realization citeclaudon_prl04 this josephson device behaves as an anharmonic oscillator which can be driven into a coherent superposition of quantum states by resonant microwave flux pulses increasing the microwave amplitude we study the evolution of the rabi frequency from the 2level regime to the regime of multilevel dynamics when up to 3 levels are involved the rabi frequency is a clear signature of quantum behavior at higher excitation amplitude classical and quantum predictions for the rabi frequency converge this result is discussed in the light of a calculation of the wigner function in particular our analysis shows that pronounced quantum interferences always appear in the course of the rabilike oscillations | [['we', 'have', 'observed', 'rabilike', 'oscillations', 'in', 'a', 'currentbiased', 'dc', 'squid', 'presenting', 'enhanced', 'coherence', 'times', 'compared', 'to', 'our', 'previous', 'realization', 'citeclaudon_prl04', 'this', 'josephson', 'device', 'behaves', 'as', 'an', 'anharmonic', 'oscillator', 'which', 'can', 'be', 'driven', 'into', 'a', 'coherent', 'superposition', 'of', 'quantum', 'states', 'by', 'resonant', 'microwave', 'flux', 'pulses', 'increasing', 'the', 'microwave', 'amplitude', 'we', 'study', 'the', 'evolution', 'of', 'the', 'rabi', 'frequency', 'from', 'the', '2level', 'regime', 'to', 'the', 'regime', 'of', 'multilevel', 'dynamics', 'when', 'up', 'to', '3', 'levels', 'are', 'involved', 'the', 'rabi', 'frequency', 'is', 'a', 'clear', 'signature', 'of', 'quantum', 'behavior', 'at', 'higher', 'excitation', 'amplitude', 'classical', 'and', 'quantum', 'predictions', 'for', 'the', 'rabi', 'frequency', 'converge', 'this', 'result', 'is', 'discussed', 'in', 'the', 'light', 'of', 'a', 'calculation', 'of', 'the', 'wigner', 'function', 'in', 'particular', 'our', 'analysis', 'shows', 'that', 'pronounced', 'quantum', 'interferences', 'always', 'appear', 'in', 'the', 'course', 'of', 'the', 'rabilike', 'oscillations']] | [-0.19293697503593377, 0.23624466818963144, -0.05691483263732997, 0.04709540929747966, 0.0019885379111570286, -0.15004316250991634, 0.06337774391689403, 0.3561274283748912, -0.22390346048105558, -0.25359224789504575, 0.0017320216444548307, -0.25908173223972086, -0.1460810534263719, 0.2734183461339338, 0.001624921256104323, 0.026807785364175874, 0.04498951695309439, 0.0005503000735532581, -0.025869616430150125, -0.15459765342667361, 0.25089565214634996, 0.07270267291551852, 0.33289682221283595, -0.0027456775410320813, 0.05524170660509134, -0.03469268705211873, 0.07641546131207014, -0.03530385915747308, -0.08537313924039261, 0.020358740716464964, 0.2668730256140349, 0.003806952024098691, 0.23589959708372438, -0.42676887372288647, -0.2081447191697758, 0.08048153036516013, 0.18118411340172344, 0.21609970964179703, -0.009826378807916827, -0.30989952066429255, -0.01056650077821467, -0.13405305158537556, -0.14101601467196515, -0.05891435515450856, -0.0061587933721350815, 0.011923057250825203, -0.23164490335364277, 0.11319647385100798, 0.08040978432785148, 0.04513432543842107, 0.002048220151786025, -0.04552899674681111, 0.03155414180969453, 0.07287492631227842, -0.015060966084601255, 0.02384016506454548, 0.15305798909879897, -0.09505459864616511, -0.1581920858281921, 0.31746894588022984, -0.12774792764937198, -0.10403596396433322, 0.12213705994892778, -0.21130918214962943, -0.05683018790840311, 0.14084494955779062, 0.11113952611587707, 0.044741076523599425, -0.09670127986888603, 0.04328764400648422, 0.029934868297180322, 0.2109318155626671, 0.11792347639227124, 0.12355648087315613, 0.22139812741560613, 0.17136920376233464, 0.02407085413927227, 0.17487822463424274, -0.07935162677656947, -0.13057210042845369, -0.28833422966770766, -0.07936480913428574, -0.18496619126260808, 0.1214689676747034, -0.0199145433293815, -0.1718619956348942, 0.4634421859816538, 0.12203175217916044, 0.18086879199561406, -0.0030009111868012257, 0.32117058210602895, 0.2352797606837107, 0.03734766238728377, -0.0050482507061770585, 0.2919885620298817, 0.19296380521465592, 0.12381042438141239, -0.350507233730026, -0.030191711833476874, -0.04023837707487602] |
709.3788 | On the path structure of a semimartingale arising from monotone
probability theory | Let $X$ be the unique normal martingale such that $X_0=0$ and
\[\mathrm{d}[X]_t=(1-t-X_{t-}) \mathrm{d}X_t+\mathrm{d}t\] and let $Y_t:=X_t+t$
for all $t\geq 0$; the semimartingale $Y$ arises in quantum probability, where
it is the monotone-independent analogue of the Poisson process. The
trajectories of $Y$ are examined and various probabilistic properties are
derived; in particular, the level set $\{t\geq 0\dvt Y_t=1\}$ is shown to be
non-empty, compact, perfect and of zero Lebesgue measure. The local times of
$Y$ are found to be trivial except for that at level 1; consequently, the jumps
of $Y$ are not locally summable.
| math.PR | let x be the unique normal martingale such that x_00 and mathrmdx_t1tx_t mathrmdx_tmathrmdt and let y_tx_tt for all tgeq 0 the semimartingale y arises in quantum probability where it is the monotoneindependent analogue of the poisson process the trajectories of y are examined and various probabilistic properties are derived in particular the level set tgeq 0dvt y_t1 is shown to be nonempty compact perfect and of zero lebesgue measure the local times of y are found to be trivial except for that at level 1 consequently the jumps of y are not locally summable | [['let', 'x', 'be', 'the', 'unique', 'normal', 'martingale', 'such', 'that', 'x_00', 'and', 'mathrmdx_t1tx_t', 'mathrmdx_tmathrmdt', 'and', 'let', 'y_tx_tt', 'for', 'all', 'tgeq', '0', 'the', 'semimartingale', 'y', 'arises', 'in', 'quantum', 'probability', 'where', 'it', 'is', 'the', 'monotoneindependent', 'analogue', 'of', 'the', 'poisson', 'process', 'the', 'trajectories', 'of', 'y', 'are', 'examined', 'and', 'various', 'probabilistic', 'properties', 'are', 'derived', 'in', 'particular', 'the', 'level', 'set', 'tgeq', '0dvt', 'y_t1', 'is', 'shown', 'to', 'be', 'nonempty', 'compact', 'perfect', 'and', 'of', 'zero', 'lebesgue', 'measure', 'the', 'local', 'times', 'of', 'y', 'are', 'found', 'to', 'be', 'trivial', 'except', 'for', 'that', 'at', 'level', '1', 'consequently', 'the', 'jumps', 'of', 'y', 'are', 'not', 'locally', 'summable']] | [-0.13862825151443942, 0.1631106251976296, -0.07572708110942432, 0.05594220295561274, -0.012138264991468592, -0.18711498304364388, 0.018298656938681275, 0.3904138614706109, -0.3420210360978427, -0.1516729761019684, 0.09799558178749292, -0.3044812687086674, -0.04860945136725819, 0.18478613581477005, -0.1017383526581643, 0.004184341623207156, -0.01014031525021105, 0.11104456354403512, -0.04651620218614012, -0.24665226443053295, 0.31631183446897715, -0.05774254277165393, 0.23104762669987558, 0.0074099860974231714, 0.15319111951730827, -0.02773880431679695, 0.005046378512437759, 0.034608384986732445, -0.15159910099578922, 0.03191852562255069, 0.31456086804744987, 0.08034492518459813, 0.24894775044738074, -0.35137118478671886, -0.17598261669006074, 0.21377992340143812, 0.09106238569091127, -0.0534249822834109, 0.01994658353361772, -0.28349615480185725, 0.20355034345535958, -0.07928777559335982, -0.1457689005640869, -0.07230871713856298, 0.10620197654816876, 0.06371339195502106, -0.33198135932698175, 0.05832329504662769, 0.12743180874065402, 0.023116278599455867, -0.015932059260817727, -0.17192665652863764, -0.12572857095948892, 0.12696984415518098, 0.010894022981068539, 0.10449777114835536, 0.0689266469977728, -0.042936935042439214, -0.08199233889286772, 0.3520830757288116, -0.07929735425127189, -0.23227157508902085, 0.14069024565776161, -0.26720377876098905, -0.13359672662519503, 0.15068277230046773, 0.0787872929293453, 0.12973357623003506, -0.13412352003617567, 0.21537361865643453, -0.04329733643680811, 0.08958545870283681, 0.05399443269864227, 0.04181461388852154, 0.16377946894532175, 0.07638636869483031, 0.13041559313790183, 0.056351604632081026, -0.05892526414873225, -0.06605641488927637, -0.35237342690567625, -0.17583142013780856, -0.17607010987173932, 0.1772031579063643, -0.08588133197672812, -0.17681646553290684, 0.28912551705254597, 0.09919149796949343, 0.202948622719458, 0.06673106111669808, 0.17127685786716723, 0.18194862079085244, -0.08368777972253647, 0.08099351652238644, 0.0938324867571139, 0.1437626828837177, -0.004474008870520367, -0.13002225165412332, 0.09578745266464486, 0.0620792598850774] |
709.3789 | Using GRO J1655-40 to test Swift/BAT as a monitor for bright hard X-ray
sources | While waiting for new gamma-ray burst detections, the Burst Alert Telescope
(BAT) on board Swift covers each day ~50% of the sky in the hard X-ray band
(``Survey data''). The large field of view (FOV), high sensitivity and good
angular resolution make BAT a potentially powerful all-sky hard X-ray monitor,
provided that mask--related systematics can be properly accounted for. We have
developed and tested a complete procedure entirely based on public Swift/BAT
software tools to analyse BAT Survey data, aimed at assessing the flux and
spectral variability of bright sources in the 15-150 keV energy range. Detailed
tests of the capabilities of our procedure were performed focusing, in
particular, on the reliability of spectral measurements over the entire BAT
FOV. First, we analyzed a large set of Crab observations, spread over ~7
months. Next, we studied the case of GRO J1655-40, a strongly variable source,
which experienced a 9-month long outburst, beginning on February 2005. Such an
outburst was systematically monitored with the well-calibrated PCA and HEXTE
instruments on board the RXTE mission. Thanks to the good BAT temporal coverage
of the source, we have been able to cross-check BAT light-curves with
simultaneous HEXTE ones. The Crab tests have shown that our procedure recovers
both the flux and the source spectral shape over the whole FOV of the BAT
instrument. Moreover, by cross-checking GRO J1655-40 light-curves obtained by
BAT and HEXTE, we found the spectral and flux evolution of the outburst to be
in very good agreement. Using our procedure, BAT reproduces HEXTE fluxes within
a 10-15% uncertainty with a 3sigma sensitivity of ~20 mCrab for an on-axis
source, thus establishing its capability to monitor the evolution of relatively
bright hard X-rays sources.
| astro-ph | while waiting for new gammaray burst detections the burst alert telescope bat on board swift covers each day 50 of the sky in the hard xray band survey data the large field of view fov high sensitivity and good angular resolution make bat a potentially powerful allsky hard xray monitor provided that maskrelated systematics can be properly accounted for we have developed and tested a complete procedure entirely based on public swiftbat software tools to analyse bat survey data aimed at assessing the flux and spectral variability of bright sources in the 15150 kev energy range detailed tests of the capabilities of our procedure were performed focusing in particular on the reliability of spectral measurements over the entire bat fov first we analyzed a large set of crab observations spread over 7 months next we studied the case of gro j165540 a strongly variable source which experienced a 9month long outburst beginning on february 2005 such an outburst was systematically monitored with the wellcalibrated pca and hexte instruments on board the rxte mission thanks to the good bat temporal coverage of the source we have been able to crosscheck bat lightcurves with simultaneous hexte ones the crab tests have shown that our procedure recovers both the flux and the source spectral shape over the whole fov of the bat instrument moreover by crosschecking gro j165540 lightcurves obtained by bat and hexte we found the spectral and flux evolution of the outburst to be in very good agreement using our procedure bat reproduces hexte fluxes within a 1015 uncertainty with a 3sigma sensitivity of 20 mcrab for an onaxis source thus establishing its capability to monitor the evolution of relatively bright hard xrays sources | [['while', 'waiting', 'for', 'new', 'gammaray', 'burst', 'detections', 'the', 'burst', 'alert', 'telescope', 'bat', 'on', 'board', 'swift', 'covers', 'each', 'day', '50', 'of', 'the', 'sky', 'in', 'the', 'hard', 'xray', 'band', 'survey', 'data', 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709.379 | On Anosov diffeomorphisms with asymptotically conformal periodic data | We consider transitive Anosov diffeomorphisms for which every periodic orbit
has only one positive and one negative Lyapunov exponent. We establish various
properties of such systems including strong pinching, C^{1+\beta} smoothness of
the Anosov splitting, and C^1 smoothness of measurable invariant conformal
structures and distributions. We apply these results to volume preserving
diffeomorphisms with two-dimensional stable and unstable distributions and
diagonalizable derivatives of the return maps at periodic points. We show that
a finite cover of such a diffeomorphism is smoothly conjugate to an Anosov
automorphism of a torus. As a corollary we obtain local rigidity for such
diffeomorphisms. We also establish a local rigidity result for Anosov
diffeomorphisms in dimension three.
| math.DS | we consider transitive anosov diffeomorphisms for which every periodic orbit has only one positive and one negative lyapunov exponent we establish various properties of such systems including strong pinching c1beta smoothness of the anosov splitting and c1 smoothness of measurable invariant conformal structures and distributions we apply these results to volume preserving diffeomorphisms with twodimensional stable and unstable distributions and diagonalizable derivatives of the return maps at periodic points we show that a finite cover of such a diffeomorphism is smoothly conjugate to an anosov automorphism of a torus as a corollary we obtain local rigidity for such diffeomorphisms we also establish a local rigidity result for anosov diffeomorphisms in dimension three | [['we', 'consider', 'transitive', 'anosov', 'diffeomorphisms', 'for', 'which', 'every', 'periodic', 'orbit', 'has', 'only', 'one', 'positive', 'and', 'one', 'negative', 'lyapunov', 'exponent', 'we', 'establish', 'various', 'properties', 'of', 'such', 'systems', 'including', 'strong', 'pinching', 'c1beta', 'smoothness', 'of', 'the', 'anosov', 'splitting', 'and', 'c1', 'smoothness', 'of', 'measurable', 'invariant', 'conformal', 'structures', 'and', 'distributions', 'we', 'apply', 'these', 'results', 'to', 'volume', 'preserving', 'diffeomorphisms', 'with', 'twodimensional', 'stable', 'and', 'unstable', 'distributions', 'and', 'diagonalizable', 'derivatives', 'of', 'the', 'return', 'maps', 'at', 'periodic', 'points', 'we', 'show', 'that', 'a', 'finite', 'cover', 'of', 'such', 'a', 'diffeomorphism', 'is', 'smoothly', 'conjugate', 'to', 'an', 'anosov', 'automorphism', 'of', 'a', 'torus', 'as', 'a', 'corollary', 'we', 'obtain', 'local', 'rigidity', 'for', 'such', 'diffeomorphisms', 'we', 'also', 'establish', 'a', 'local', 'rigidity', 'result', 'for', 'anosov', 'diffeomorphisms', 'in', 'dimension', 'three']] | [-0.2334054480805727, 0.12425149130818422, -0.09667267174310316, 0.08824308619971687, -0.06963008382600881, -0.16779034154439745, -0.02368581251357682, 0.36331232713668477, -0.3106130084821156, -0.15852176817549793, 0.13953167197905714, -0.29000142410015023, -0.15840923193692497, 0.17187026206686692, -0.11904382046070948, 0.11281422334806328, 0.03397483191136936, 0.0604084013861471, -0.14597344323556172, -0.20782777963800722, 0.4145367836546419, -0.09420882236112707, 0.1781540834927, 0.09922772566330552, 0.1720107135313031, -0.02146464718576421, 0.006765741054550745, 0.03923751177249609, -0.2086023966544417, 0.07854531571086097, 0.21225713897729293, 0.037854009551145804, 0.19186900843981544, -0.30131219335219483, -0.2545376796811719, 0.1637234825715755, 0.11062369970230586, 0.018379148814087136, -0.07966185985969787, -0.31684202291736646, 0.1315144623949891, -0.13027038840560376, -0.2171609699642951, -0.1497247125121898, 0.05800022414769046, 0.041841616887333136, -0.26476110053980456, 0.0615140961243534, 0.2050719521232947, 0.16895775560988113, -0.11582866602943145, -0.013333644177432038, -0.12866766173413322, 0.17115886537171068, 0.06755165898721316, 0.02782725495697897, 0.15165891664582887, 0.014200858755170234, -0.07935800723498687, 0.35904890434799847, -0.13458606730481343, -0.2969674725526212, 0.21893508649165078, -0.1763642019775164, -0.2500145105649218, 0.1401738526765257, 0.18030278652440757, 0.13642898378644272, -0.04530691565430191, 0.1511514547398422, -0.09396031717603494, 0.09545681100072605, 0.10003366504315636, -0.007447164900700695, 0.12583309482683294, 0.043895016224788766, 0.27270871464030016, 0.13332017395766474, 0.010217407227693391, -0.03437934214681653, -0.3458671054935881, -0.17606227746416284, -0.1079018207840688, 0.17337351336443266, -0.12641213845446536, -0.21269533894623496, 0.40518280969783, 0.05234516193468153, 0.21109925398403512, 0.14328543885988307, 0.20419256960407697, 0.055410066377329974, 0.04191911405983514, 0.13951522083620407, 0.16034839015005023, 0.17470957532558323, -0.02951108088122315, -0.1428645953170157, -0.04402300525024267, 0.19986174175573979] |
709.3791 | Moduli stabilization in 5D gauged supergravity with universal
hypermultiplet and boundary superpotentials | We study a four-dimensional effective theory of the five-dimensional (5D)
gauged supergravity with a universal hypermultiplet and perturbative
superpotential terms at the orbifold fixed points. Among eight independent
isometries of the scalar manifold, we focus on three directions for gauging by
the graviphoton. The class of models we consider includes the 5D heterotic
M-theory and the supersymmetric Randall-Sundrum model as special limits of the
gauging parameters. We analyze the vacuum structure of such models, especially
the nature of moduli stabilization, from the viewpoint of the effective theory.
We also discuss the uplifting of supersymmetric anti-de Sitter vacua.
| hep-th hep-ph | we study a fourdimensional effective theory of the fivedimensional 5d gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points among eight independent isometries of the scalar manifold we focus on three directions for gauging by the graviphoton the class of models we consider includes the 5d heterotic mtheory and the supersymmetric randallsundrum model as special limits of the gauging parameters we analyze the vacuum structure of such models especially the nature of moduli stabilization from the viewpoint of the effective theory we also discuss the uplifting of supersymmetric antide sitter vacua | [['we', 'study', 'a', 'fourdimensional', 'effective', 'theory', 'of', 'the', 'fivedimensional', '5d', 'gauged', 'supergravity', 'with', 'a', 'universal', 'hypermultiplet', 'and', 'perturbative', 'superpotential', 'terms', 'at', 'the', 'orbifold', 'fixed', 'points', 'among', 'eight', 'independent', 'isometries', 'of', 'the', 'scalar', 'manifold', 'we', 'focus', 'on', 'three', 'directions', 'for', 'gauging', 'by', 'the', 'graviphoton', 'the', 'class', 'of', 'models', 'we', 'consider', 'includes', 'the', '5d', 'heterotic', 'mtheory', 'and', 'the', 'supersymmetric', 'randallsundrum', 'model', 'as', 'special', 'limits', 'of', 'the', 'gauging', 'parameters', 'we', 'analyze', 'the', 'vacuum', 'structure', 'of', 'such', 'models', 'especially', 'the', 'nature', 'of', 'moduli', 'stabilization', 'from', 'the', 'viewpoint', 'of', 'the', 'effective', 'theory', 'we', 'also', 'discuss', 'the', 'uplifting', 'of', 'supersymmetric', 'antide', 'sitter', 'vacua']] | [-0.13891548045056382, 0.15199939450537114, 0.000525040940871251, 0.12593356284706556, -0.09928093012512335, -0.15895341379932829, -0.0035788840590256082, 0.2672830064992238, -0.11705045708330329, -0.2533758431096974, 0.10104597516156272, -0.26846602933778974, -0.18376021427054381, 0.08227132078135367, -0.0895366767978238, 0.023291046587155036, -0.052390129531052, 0.025061450970656787, -0.1556060125057576, -0.2705260434946449, 0.4281249088955294, -0.0067545926442445425, 0.28297418338659497, 0.0035629637524984856, 0.15167991765150704, -0.0224026463945041, 0.009899033099105678, -0.021832702614213387, -0.16735348487560897, 0.16675024412418762, 0.2114160735165063, 0.06664926537902745, 0.059206107960169, -0.4073699496916889, -0.2454071436461407, 0.13289570317786073, 0.16820023348674984, 0.18667884415361224, -0.003465439986255135, -0.3111767493207584, 0.03702602302655578, -0.18117091490781492, -0.16517654172242044, -0.09162713683776788, -0.03652893983730182, -0.15209630564018392, -0.21102776112258145, 0.027467654839448498, -0.03431702232391564, 0.044111028467257, -0.12079314657093324, -0.08858723055628925, -0.1362068993615505, 0.05265757522411337, 0.2164166869041174, 0.010696047823396079, 0.13572989398920812, -0.21627826855119472, -0.16716389326479517, 0.38481536854212123, -0.10191309776579596, -0.2524291781502171, 0.11957454421202239, -0.10685333621582573, -0.19346556335822054, 0.045626407389567455, 0.13022767160731108, 0.24248526174306256, -0.08471202286807628, 0.34588868896712155, -0.02951269415351226, 0.09086963960291222, 0.07782071973821245, 0.06938248122898266, 0.2724920390461831, 0.15511561946981808, 0.02998141001504318, 0.15309981853922003, 0.004488592912183748, -0.13738196019620932, -0.5077385420037299, -0.12506906015164765, -0.06122906844986161, 0.14117427567768956, -0.2260878824040212, -0.18243072922197506, 0.44337643617668104, 0.08289682412923303, 0.17981111489178747, 0.05533209948478862, 0.16440305239568972, 0.04170639880035149, 0.02540229218675918, 0.012933043018943564, 0.29950499874491665, 0.11555299361010764, 0.04824599763378501, -0.25934763312983067, -0.2218426747113159, 0.23680681840891077] |
709.3792 | Interferometric imaging of the sulfur-bearing molecules H2S, SO and CS
in comet C/1995 O1 (Hale-Bopp) | We present observations of rotational lines of H2S, SO and CS performed in
comet C/1995 O1 (Hale-Bopp) in March 1997 with the Plateau de Bure
interferometer (IRAM). The observations provide informations on the spatial and
velocity distributions of these molecules. They can be used to constrain their
photodissociation rate and their origin. We use a radiative transfer code which
allows us to compute synthetic line profiles and interferometric maps, to be
compared to the observations. Both single-dish spectra and interferometric
spectral maps show a day/night asymmetry in the outgassing. From the analysis
of the spectral maps, including the astrometry, we show that SO and CS present
in addition a jet-like structure that may be the gaseous counterpart of the
dust high-latitude jet observed in optical images. A CS rotating jet is also
observed. Using the astrometry provided by continuum radio maps obtained in
parallel, we conclude that there is no need to invoke of nongravitational
forces acting on this comet, and provide an updated orbit. The radial extension
of H2S is found to be consistent with direct release from the nucleus. SO
displays an extended radial distribution. Assuming that SO2 is the parent of
SO, the photodissociation rate of SO is measured to be 1.5 E-4 s-1 at 1 AU from
the Sun. This is lower than most laboratory-based estimates and may suggest
that SO is not solely produced by SO2 photolysis. From the observations of
J(2-1) and J(5-4) CS lines, we deduce a CS photodissociation rate of 1 to 5 E-5
s-1. The photodissociation rate of CS2, the likely parent of CS, cannot be
constrained due to insufficient resolution, but our data are consistent with
published values. These observations illustrate the cometary science that will
be performed with the future ALMA interferometer.
| astro-ph | we present observations of rotational lines of h2s so and cs performed in comet c1995 o1 halebopp in march 1997 with the plateau de bure interferometer iram the observations provide informations on the spatial and velocity distributions of these molecules they can be used to constrain their photodissociation rate and their origin we use a radiative transfer code which allows us to compute synthetic line profiles and interferometric maps to be compared to the observations both singledish spectra and interferometric spectral maps show a daynight asymmetry in the outgassing from the analysis of the spectral maps including the astrometry we show that so and cs present in addition a jetlike structure that may be the gaseous counterpart of the dust highlatitude jet observed in optical images a cs rotating jet is also observed using the astrometry provided by continuum radio maps obtained in parallel we conclude that there is no need to invoke of nongravitational forces acting on this comet and provide an updated orbit the radial extension of h2s is found to be consistent with direct release from the nucleus so displays an extended radial distribution assuming that so2 is the parent of so the photodissociation rate of so is measured to be 15 e4 s1 at 1 au from the sun this is lower than most laboratorybased estimates and may suggest that so is not solely produced by so2 photolysis from the observations of j21 and j54 cs lines we deduce a cs photodissociation rate of 1 to 5 e5 s1 the photodissociation rate of cs2 the likely parent of cs cannot be constrained due to insufficient resolution but our data are consistent with published values these observations illustrate the cometary science that will be performed with the future alma interferometer | [['we', 'present', 'observations', 'of', 'rotational', 'lines', 'of', 'h2s', 'so', 'and', 'cs', 'performed', 'in', 'comet', 'c1995', 'o1', 'halebopp', 'in', 'march', '1997', 'with', 'the', 'plateau', 'de', 'bure', 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709.3793 | The Coexistence of Classical Bulges and Disky Pseudobulges in Early-Type
Disk Galaxies | Close examination of so-called "pseudobulges" in several early-type disk
galaxies indicates that they are actually composite structures consisting of
both a flattened, kinematically cool disklike structure ("disky pseudobulge")
and a rounder, kinematically hot spheroidal structure ("classical bulge"). This
indicates that pseudobulges, thought to form from internal secular evolution,
and classical bulges, thought to form from rapid mergers, are not exclusive
phenomena: some galaxies can have both.
| astro-ph | close examination of socalled pseudobulges in several earlytype disk galaxies indicates that they are actually composite structures consisting of both a flattened kinematically cool disklike structure disky pseudobulge and a rounder kinematically hot spheroidal structure classical bulge this indicates that pseudobulges thought to form from internal secular evolution and classical bulges thought to form from rapid mergers are not exclusive phenomena some galaxies can have both | [['close', 'examination', 'of', 'socalled', 'pseudobulges', 'in', 'several', 'earlytype', 'disk', 'galaxies', 'indicates', 'that', 'they', 'are', 'actually', 'composite', 'structures', 'consisting', 'of', 'both', 'a', 'flattened', 'kinematically', 'cool', 'disklike', 'structure', 'disky', 'pseudobulge', 'and', 'a', 'rounder', 'kinematically', 'hot', 'spheroidal', 'structure', 'classical', 'bulge', 'this', 'indicates', 'that', 'pseudobulges', 'thought', 'to', 'form', 'from', 'internal', 'secular', 'evolution', 'and', 'classical', 'bulges', 'thought', 'to', 'form', 'from', 'rapid', 'mergers', 'are', 'not', 'exclusive', 'phenomena', 'some', 'galaxies', 'can', 'have', 'both']] | [-0.1020805066253877, 0.10336049928358107, -0.1911825463316883, 0.21119271327960165, -0.17861301457389456, -0.04530281169960896, -0.04703421996567737, 0.4443505842407996, -0.14577650648513527, -0.2835765209500537, -0.02279519568952365, -0.24782926860180768, -0.10849589298507481, 0.20682303058547954, -0.055331012262313656, -0.054846129253168, 0.05206727005089774, -0.18064270210170158, -0.028880957071316625, -0.2807849313090132, 0.3286956049445452, -0.03919553226142219, 0.08704510604906263, -0.23615874529279995, -0.07053816823683905, -0.14918345374683145, -0.04970591331860333, -0.03661103494408907, -0.1257318901473561, 0.0015896224755455148, 0.2730787791802096, 0.08945115544184139, 0.24554315797109721, -0.4304978798397563, -0.14826863967446666, 0.05723162543753543, 0.35695320164615457, 0.052301486107436096, -0.14903490781558282, -0.24189452620956933, 0.07007186384307164, -0.19413791020457266, -0.17194985555992884, 0.03206785748515165, 0.04813787460796337, -0.03622111136263067, -0.13622510297555532, 0.22384714187038215, 0.16400659868888784, 0.0884297494494328, -0.09223951441659169, -0.07753100766532237, -0.13445372899966032, -0.0008390365718779238, 0.0029188315101870985, 0.05340109582792855, 0.3515478568151593, -0.12874165018949885, -0.038486193752650055, 0.4542230362016143, 0.007619173403575339, -0.042018013230214514, 0.32399693787605927, -0.2569174511979024, -0.167252701523742, 0.14538842467873386, 0.16994367048821665, 0.04796460451501788, -0.1495853561756314, -0.040934617647012186, -0.05569366513836113, 0.23133544335988435, 0.06217144603248347, 0.07795672018476056, 0.4291398429848028, 0.017300648297267882, -0.04209693441887132, 0.08388169836535146, -0.06229115187218695, -0.1416989981098044, -0.16711953773417257, -0.07956070486794818, -0.04315385133536025, 0.12489620483657662, -0.12949844794021567, -0.17167441456606894, 0.24406707361887323, -0.07907454647074426, 0.27887232374456344, 0.024929045589735986, 0.2985581009451187, -0.018140339483083648, 0.22582660129674795, 0.2057919047039115, 0.3282702969705552, 0.23888279031962156, 0.022885069963663365, -0.23362324064399934, 0.09259215004347039, -0.04273781094304992] |
709.3794 | The environmental dependence of the chemical properties of star-forming
galaxies | We use a 0.040 < z < 0.085 sample of 37866 star-forming galaxies from the
Fourth Data Release of the Sloan Digital Sky Survey to investigate the
dependence of gas-phase chemical properties on stellar mass and environment.
The local density, determined from the projected distances to the fourth and
fifth nearest neighbours, is used as an environment indicator. Considering
environments ranging from voids, i.e., log Sigma < -0.8, to the periphery of
galaxy clusters, i.e., log Sigma =~ 0.8, we find no dependence of the
relationship between galaxy stellar mass and gas-phase oxygen abundance, along
with its associated scatter, on local galaxy density. However, the star-forming
gas in galaxies shows a marginal increase in the chemical enrichment level at a
fixed stellar mass in denser environments. Compared with galaxies of similar
stellar mass in low density environments, they are enhanced by a few per cent
for massive galaxies to about 20 per cent for galaxies with stellar masses <
10^{9.5} solar masses. These results imply that the evolution of star-forming
galaxies is driven primarily by their intrinsic properties and is largely
independent of their environment over a large range of local galaxy density.
| astro-ph | we use a 0040 z 0085 sample of 37866 starforming galaxies from the fourth data release of the sloan digital sky survey to investigate the dependence of gasphase chemical properties on stellar mass and environment the local density determined from the projected distances to the fourth and fifth nearest neighbours is used as an environment indicator considering environments ranging from voids ie log sigma 08 to the periphery of galaxy clusters ie log sigma 08 we find no dependence of the relationship between galaxy stellar mass and gasphase oxygen abundance along with its associated scatter on local galaxy density however the starforming gas in galaxies shows a marginal increase in the chemical enrichment level at a fixed stellar mass in denser environments compared with galaxies of similar stellar mass in low density environments they are enhanced by a few per cent for massive galaxies to about 20 per cent for galaxies with stellar masses 1095 solar masses these results imply that the evolution of starforming galaxies is driven primarily by their intrinsic properties and is largely independent of their environment over a large range of local galaxy density | [['we', 'use', 'a', '0040', 'z', '0085', 'sample', 'of', '37866', 'starforming', 'galaxies', 'from', 'the', 'fourth', 'data', 'release', 'of', 'the', 'sloan', 'digital', 'sky', 'survey', 'to', 'investigate', 'the', 'dependence', 'of', 'gasphase', 'chemical', 'properties', 'on', 'stellar', 'mass', 'and', 'environment', 'the', 'local', 'density', 'determined', 'from', 'the', 'projected', 'distances', 'to', 'the', 'fourth', 'and', 'fifth', 'nearest', 'neighbours', 'is', 'used', 'as', 'an', 'environment', 'indicator', 'considering', 'environments', 'ranging', 'from', 'voids', 'ie', 'log', 'sigma', '08', 'to', 'the', 'periphery', 'of', 'galaxy', 'clusters', 'ie', 'log', 'sigma', '08', 'we', 'find', 'no', 'dependence', 'of', 'the', 'relationship', 'between', 'galaxy', 'stellar', 'mass', 'and', 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0.2045298439331034, 0.05173245709723131, -0.24335303103904873, 0.0748566908346001, -0.007123624811317513] |
709.3795 | Effects of decoherence on the radiative and squeezing properties in a
coherently driven trapped two-level atom | Analysis of the effects of decoherence on the radiative and squeezing
properties of a coherently driven two-level atom trapped in a resonant cavity
applying the corresponding master equation is presented. The atomic dynamics as
well as the squeezing and statistical properties of the emitted radiation are
investigated. It is found that the atom stays in the lower energy level more
often at steady state irrespective of the strength of the coherent radiation
and thermal fluctuations entering the cavity. Moreover, a strong external
coherent radiation results the splitting of the line of the emission spectrum,
whereas the decoherence broadens the width and significantly decreases the
height. It is also found that the emitted radiation exhibits photon
anti-bunching, super-Poissonian photon statistics and squeezing, despite the
presence of the decoherence which is expected to destroy the quantum features.
| quant-ph | analysis of the effects of decoherence on the radiative and squeezing properties of a coherently driven twolevel atom trapped in a resonant cavity applying the corresponding master equation is presented the atomic dynamics as well as the squeezing and statistical properties of the emitted radiation are investigated it is found that the atom stays in the lower energy level more often at steady state irrespective of the strength of the coherent radiation and thermal fluctuations entering the cavity moreover a strong external coherent radiation results the splitting of the line of the emission spectrum whereas the decoherence broadens the width and significantly decreases the height it is also found that the emitted radiation exhibits photon antibunching superpoissonian photon statistics and squeezing despite the presence of the decoherence which is expected to destroy the quantum features | [['analysis', 'of', 'the', 'effects', 'of', 'decoherence', 'on', 'the', 'radiative', 'and', 'squeezing', 'properties', 'of', 'a', 'coherently', 'driven', 'twolevel', 'atom', 'trapped', 'in', 'a', 'resonant', 'cavity', 'applying', 'the', 'corresponding', 'master', 'equation', 'is', 'presented', 'the', 'atomic', 'dynamics', 'as', 'well', 'as', 'the', 'squeezing', 'and', 'statistical', 'properties', 'of', 'the', 'emitted', 'radiation', 'are', 'investigated', 'it', 'is', 'found', 'that', 'the', 'atom', 'stays', 'in', 'the', 'lower', 'energy', 'level', 'more', 'often', 'at', 'steady', 'state', 'irrespective', 'of', 'the', 'strength', 'of', 'the', 'coherent', 'radiation', 'and', 'thermal', 'fluctuations', 'entering', 'the', 'cavity', 'moreover', 'a', 'strong', 'external', 'coherent', 'radiation', 'results', 'the', 'splitting', 'of', 'the', 'line', 'of', 'the', 'emission', 'spectrum', 'whereas', 'the', 'decoherence', 'broadens', 'the', 'width', 'and', 'significantly', 'decreases', 'the', 'height', 'it', 'is', 'also', 'found', 'that', 'the', 'emitted', 'radiation', 'exhibits', 'photon', 'antibunching', 'superpoissonian', 'photon', 'statistics', 'and', 'squeezing', 'despite', 'the', 'presence', 'of', 'the', 'decoherence', 'which', 'is', 'expected', 'to', 'destroy', 'the', 'quantum', 'features']] | [-0.12872347385294874, 0.2504446273040095, -0.0609662752089746, 0.08145582260072438, 0.027913102248890532, -0.11471360664883698, 0.0301152509154269, 0.3457060457103782, -0.25854162755939697, -0.282343873187158, 0.005111761689531031, -0.32058823660567953, -0.039752679297493564, 0.22620675805266258, 0.03940659266016963, 0.018753029571639167, 0.03659369614734142, 0.03320677829216476, -0.023962100359818175, -0.15638811483858497, 0.3183937585671191, 0.12777658994395838, 0.3233140164503345, 0.08399819719294707, 0.09059464554129927, -0.01267722455819172, 0.03989933093112928, -0.02480668018106371, -0.06931117244670598, 0.04517857039830199, 0.1775282361648149, 0.0482368808688113, 0.24755648882990633, -0.3866665967567651, -0.21675382657493983, 0.09269901279411796, 0.1531786345812078, 0.17645559148707737, -0.02492205587838759, -0.3025758642565321, -0.0373521518583099, -0.13095826582845163, -0.15297839777475153, -0.00944474251009524, 0.010551257410811053, 0.019874757107485225, -0.22476509950227208, 0.10206939188776434, 0.10193208101619448, 0.010595464809901185, -0.025786993466317652, -0.028656193720935672, -0.0825937634282228, 0.074338849536057, 0.01506507885987284, -0.017085113666770565, 0.2602195752819103, -0.18347296241187938, -0.07767228141289066, 0.3751859434268058, -0.11654042735419891, -0.1293326387112891, 0.15276138532078928, -0.19083828026670271, -0.03278282601558776, 0.21087266021166687, 0.09146489878357561, 0.08694640471550412, -0.08975844573988406, 0.033215018054384184, 0.018300930307143266, 0.22366636430465237, 0.0865166528650594, 0.15948707957717556, 0.20017334874029513, 0.12559452056884765, 0.022381945878819184, 0.21402443654455797, -0.13651425536135556, -0.12316480652532644, -0.30068493622734593, -0.10639180750111808, -0.2084274140841983, 0.09071965654794541, -0.04769126849747004, -0.15659160153871332, 0.40390611260577486, 0.14833639993297834, 0.13461992506420722, -0.021105915262294866, 0.33061595799194443, 0.22221700063975597, 0.029033704257259766, 0.049483082362416164, 0.3413694427676361, 0.19214192132672503, 0.08228154329721023, -0.36494710266383157, 0.050902414780662014, -0.0681911486580416] |
709.3796 | Global Structure of Locally Convex Hypersurfaces in Finsler-Hadamard
Manifolds | Locally convex compact immersed hypersurfaces in Finsler-Hadamard manifolds
with bounded T-curvature are considered. We prove that such hypersurfaces are
embedded as the boundary of convex body under certain conditions on the normal
curvatures
| math.DG | locally convex compact immersed hypersurfaces in finslerhadamard manifolds with bounded tcurvature are considered we prove that such hypersurfaces are embedded as the boundary of convex body under certain conditions on the normal curvatures | [['locally', 'convex', 'compact', 'immersed', 'hypersurfaces', 'in', 'finslerhadamard', 'manifolds', 'with', 'bounded', 'tcurvature', 'are', 'considered', 'we', 'prove', 'that', 'such', 'hypersurfaces', 'are', 'embedded', 'as', 'the', 'boundary', 'of', 'convex', 'body', 'under', 'certain', 'conditions', 'on', 'the', 'normal', 'curvatures']] | [-0.23979052362229789, 0.11608049016671651, -0.031296946919720736, 0.03571100002436927, -0.05348428473525652, -0.1668479120866819, -0.15992733147559743, 0.41848163442178204, -0.2250846071225224, -0.12323319020144867, 0.20331472496741987, -0.2721710504230225, -0.12767306433031053, 0.18519572201043819, -0.2476707365448502, 0.07829223262766997, 0.07167477822495681, 0.10016298369560955, -0.09986570857775708, -0.2859728687414617, 0.4984886659817262, -0.20717223194625342, 0.17261620122713572, 0.12538806435645022, 0.10899325202670739, -0.050057818492253624, 0.11687320568175479, 0.13964097612452778, -0.19583067569681478, 0.1251870559556692, 0.28657832007968065, 0.07502194837610604, 0.1974723682894061, -0.4789651740681041, -0.23725126028964014, 0.20253638505484117, 0.05917184453485816, -0.083023205738176, -0.05399811987158363, -0.317204321254835, 0.09522383132328589, 0.025401795678066486, -0.246135160242292, -0.07194448603232476, -0.051594587501533555, 0.056392575331935375, -0.21690389931653486, 0.06987390717999502, 0.1380240088610938, 0.09521088514928565, -0.18964588179281264, -0.11251096279275688, -0.09235882332943605, 0.029595887725890585, 0.018805006321406727, 0.07189124345666531, 0.16517995677757868, 0.01206601910631765, -0.0010312068642991962, 0.34681915841770894, -0.07130184453545195, -0.41267494010654365, 0.1775919876315377, -0.15606348431020073, -0.09549467107563307, 0.09284594592948754, 0.2151393314089739, 0.2590095990718427, -0.11860623230423892, 0.19130901591570088, -0.0751352671950096, -0.02075225230532162, 0.1604272402032758, -0.014279239881557949, 0.11684614232261524, 0.07574341784824025, 0.2195616794298544, 0.17923520535061305, -0.0012483960440890355, -0.10188092855793057, -0.42140454053878784, -0.19613287050389883, -0.16073113913422055, 0.12783948704600334, -0.16422713082283735, -0.2653581698735555, 0.2719832790422846, -0.12320728162585785, 0.17505993242516663, 0.17396250415141834, 0.22105015554662907, 0.0008370644786874905, 0.04005091592967581, 0.20471280116136326, 0.1851267870056979, 0.17410854459034675, -0.06315255739415686, -0.09135543715180547, -0.012321315014339758, 0.11271010747198791] |
709.3797 | Two-proton radioactivity | In the first part of the present review paper, experimental results which
lead to the discovery of two-proton radioactivity are reviewed. Beyond
two-proton emission from nuclear ground states, we also discuss experimental
studies of two-proton emission from excited states populated either by nuclear
beta decay or by inelastic reactions. In the second part, we review the modern
theory of two-proton radioactivity. An outlook to future experimental studies
and theoretical developments will conclude this review.
| nucl-ex nucl-th | in the first part of the present review paper experimental results which lead to the discovery of twoproton radioactivity are reviewed beyond twoproton emission from nuclear ground states we also discuss experimental studies of twoproton emission from excited states populated either by nuclear beta decay or by inelastic reactions in the second part we review the modern theory of twoproton radioactivity an outlook to future experimental studies and theoretical developments will conclude this review | [['in', 'the', 'first', 'part', 'of', 'the', 'present', 'review', 'paper', 'experimental', 'results', 'which', 'lead', 'to', 'the', 'discovery', 'of', 'twoproton', 'radioactivity', 'are', 'reviewed', 'beyond', 'twoproton', 'emission', 'from', 'nuclear', 'ground', 'states', 'we', 'also', 'discuss', 'experimental', 'studies', 'of', 'twoproton', 'emission', 'from', 'excited', 'states', 'populated', 'either', 'by', 'nuclear', 'beta', 'decay', 'or', 'by', 'inelastic', 'reactions', 'in', 'the', 'second', 'part', 'we', 'review', 'the', 'modern', 'theory', 'of', 'twoproton', 'radioactivity', 'an', 'outlook', 'to', 'future', 'experimental', 'studies', 'and', 'theoretical', 'developments', 'will', 'conclude', 'this', 'review']] | [0.004436762323854743, 0.1847388686604776, -0.0438070048049495, 0.10849969352538874, -0.017826428083149163, -0.05791991903773836, 0.05265631960591654, 0.3484781615662615, -0.20264187789950017, -0.2484734750642265, 0.052445423827078695, -0.35692999037486073, -0.09459537074183794, 0.19044459328319677, 0.05613855071164466, 0.03151878617653573, 0.125646076832168, 0.007181577258617492, -0.06776972582588929, -0.14446352616053176, 0.31824880275195716, 0.14152554705789364, 0.22637992251563716, 0.1716280237809327, -0.06626375155669725, -0.012664403369952296, -0.07659432222764637, -0.11131926359155693, -0.17587960030642855, 0.15631805489160674, 0.32497013019196486, 0.1466125498330724, 0.20744890912838682, -0.5036546739976149, -0.16355564949933338, 0.04705808899440878, 0.16442350605880288, 0.1574322076913951, -0.14431483433833597, -0.37827548578482223, -0.018128606979263242, -0.23003748876067834, -0.16544755679127332, -0.07958748386669401, 0.02588848375111214, 0.04510548587485745, -0.17296789966624332, 0.06032445073730275, 0.01269209715600654, 0.05459167818362649, -0.1323895512866108, -0.24412314087857265, 0.0766276659544658, 0.04376876208541059, 0.1168832293565297, 0.026189838869597862, 0.20687164176834394, -0.14550875904781088, -0.17132384915257226, 0.34232833461735296, -0.02341677326507665, -0.021420613094862248, 0.15603141869242126, -0.17625478900515953, -0.2347588092906753, 0.13312390387511333, 0.1395208868261024, 0.08769060407035253, -0.16840226160412705, 0.031927002070792576, 0.02468478322230481, 0.1471357563867649, -0.0020198358688503504, 0.0891618052311871, 0.21070134487456163, 0.22718693687253305, -0.04048433613560691, 0.12344737225400938, -0.14921242163856388, -0.10344409737484278, -0.39357622501415174, -0.11173773525484107, -0.12290767186346489, 0.08753618122254675, 0.12628405672089807, -0.05834313630554322, 0.39648999173093485, 0.1097256786038948, 0.18350565780860348, -0.05267141565107866, 0.30439840742965807, 0.043892449812611214, -0.027628259305414314, -0.024727352248265635, 0.3463542719145079, 0.17318168317748084, 0.07296986300246538, -0.24032540963939075, 0.06540782304757552, -0.02220523894553677] |
709.3798 | Neutron star crust beyond the Wigner-Seitz approximation | For more than three decades, the inner crust of neutron stars, formed of a
solid lattice of nuclear clusters coexisting with a gas of electrons and
neutrons, has been traditionally studied in the Wigner-Seitz approximation. The
validity of this approximation is discussed in the general framework of the
band theory of solids, which has been recently applied to the nuclear context.
Using this novel approach, it is shown that the unbound neutrons move in the
crust as if their mass was increased.
| astro-ph nucl-th | for more than three decades the inner crust of neutron stars formed of a solid lattice of nuclear clusters coexisting with a gas of electrons and neutrons has been traditionally studied in the wignerseitz approximation the validity of this approximation is discussed in the general framework of the band theory of solids which has been recently applied to the nuclear context using this novel approach it is shown that the unbound neutrons move in the crust as if their mass was increased | [['for', 'more', 'than', 'three', 'decades', 'the', 'inner', 'crust', 'of', 'neutron', 'stars', 'formed', 'of', 'a', 'solid', 'lattice', 'of', 'nuclear', 'clusters', 'coexisting', 'with', 'a', 'gas', 'of', 'electrons', 'and', 'neutrons', 'has', 'been', 'traditionally', 'studied', 'in', 'the', 'wignerseitz', 'approximation', 'the', 'validity', 'of', 'this', 'approximation', 'is', 'discussed', 'in', 'the', 'general', 'framework', 'of', 'the', 'band', 'theory', 'of', 'solids', 'which', 'has', 'been', 'recently', 'applied', 'to', 'the', 'nuclear', 'context', 'using', 'this', 'novel', 'approach', 'it', 'is', 'shown', 'that', 'the', 'unbound', 'neutrons', 'move', 'in', 'the', 'crust', 'as', 'if', 'their', 'mass', 'was', 'increased']] | [-0.03271709717512017, 0.19320666266991415, -0.12562212033379005, 0.08054051973442433, -0.007605302349164537, -0.04272204927146071, 0.04092362831295582, 0.3417730750856785, -0.21619085840335706, -0.2963939259828227, 0.03552889475945338, -0.26083948968614384, -0.060473210973347104, 0.16588633658546137, 0.0038584252228824104, 0.04249095955363861, 0.017881955451718192, 0.05693684765932763, -0.10929803142221872, -0.25126200562439543, 0.2968038079362908, 0.07227064427783395, 0.23786966540146529, 0.07589845005536407, 0.05823662562770329, -0.03663978177667936, 0.033551200287325715, 0.028353204984763045, -0.11496746261568992, 0.1242051564487799, 0.23614954708496155, 0.04753702353095499, 0.2645139837433107, -0.49764158467694025, -0.2940209656840236, 0.0840767722622287, 0.16377723254490553, 0.09121313086205457, -0.0866464978325672, -0.2372779457761747, 0.07562248677969342, -0.2762092846195872, -0.15053312290777884, -0.05000477136544338, 0.0804080317796367, 0.022030223337024812, -0.2014477933734292, 0.08492985710348343, 0.06771753050909354, 0.010139053074143282, -0.12403719640541368, -0.153853298788152, 0.012768713646659218, 0.07590750763874228, 0.08165526205514807, 0.07715867243411882, 0.13942087342303883, -0.10114382604909379, -0.0383107492064194, 0.43943676917541136, 0.009424526950524745, -0.1121282383072667, 0.19796955985266987, -0.19200609783392128, -0.11682258937053563, 0.15805526700143407, 0.14726114876159443, 0.15788697047590664, -0.1985868139692196, 0.08382051763985102, -0.0989901720796053, 0.14418561240976177, 0.09576476152940858, 0.004633347427887024, 0.24209832812364146, 0.25823885205815117, 0.002465042762640046, 0.12797759053092905, -0.14547972605995288, -0.10821765493147256, -0.18420908729000607, -0.12488515011784507, -0.1970217094256929, -0.024068360725167867, -0.007164202914282214, -0.13697322032225556, 0.35670788888251637, 0.04271455263014792, 0.10058855647561936, -0.07759904391103901, 0.2933952232550194, 0.1069631207061409, 0.10959961116825026, 0.08439259338987673, 0.3544942358183595, 0.23753818115446626, 0.05335590317163889, -0.23442602635747412, 0.07060556896258055, 0.04853895550491515] |
709.3799 | Tunable Coulomb blockade in nanostructured graphene | We report on Coulomb blockade and Coulomb diamond measurements on an etched,
tunable single-layer graphene quantum dot. The device consisting of a graphene
island connected via two narrow graphene constrictions is fully tunable by
three lateral graphene gates. Coulomb blockade resonances are observed and from
Coulomb diamond measurements a charging energy of ~3.5 meV is extracted. For
increasing temperatures we detect a peak broadening and a transmission increase
of the nanostructured graphene barriers.
| cond-mat.mes-hall | we report on coulomb blockade and coulomb diamond measurements on an etched tunable singlelayer graphene quantum dot the device consisting of a graphene island connected via two narrow graphene constrictions is fully tunable by three lateral graphene gates coulomb blockade resonances are observed and from coulomb diamond measurements a charging energy of 35 mev is extracted for increasing temperatures we detect a peak broadening and a transmission increase of the nanostructured graphene barriers | [['we', 'report', 'on', 'coulomb', 'blockade', 'and', 'coulomb', 'diamond', 'measurements', 'on', 'an', 'etched', 'tunable', 'singlelayer', 'graphene', 'quantum', 'dot', 'the', 'device', 'consisting', 'of', 'a', 'graphene', 'island', 'connected', 'via', 'two', 'narrow', 'graphene', 'constrictions', 'is', 'fully', 'tunable', 'by', 'three', 'lateral', 'graphene', 'gates', 'coulomb', 'blockade', 'resonances', 'are', 'observed', 'and', 'from', 'coulomb', 'diamond', 'measurements', 'a', 'charging', 'energy', 'of', '35', 'mev', 'is', 'extracted', 'for', 'increasing', 'temperatures', 'we', 'detect', 'a', 'peak', 'broadening', 'and', 'a', 'transmission', 'increase', 'of', 'the', 'nanostructured', 'graphene', 'barriers']] | [-0.19026653609303948, 0.21902406638689906, 0.016011844982380327, -0.027179179926823876, 0.05024046975958212, -0.2831701386643395, 0.12492054446651409, 0.49317815195615977, -0.21690475532453354, -0.31784820483920917, -0.10021244174456351, -0.38719595386965633, -0.09878606242063927, 0.22192823663609076, 0.017514134384053824, 0.01548662953467861, 0.08938676552617386, -0.1510030486635315, -0.031147283221250526, -0.15598125186787076, 0.24132297799144298, -9.778221871397675e-05, 0.33831176473057434, 0.21738602652227226, 0.07819978404177787, 0.01332051859696536, 0.17528970299722396, 0.005716266697400237, -0.1525801468882965, 0.08119716870356096, 0.20871523785570714, -0.26681164525806494, 0.2295418003867444, -0.4947753521575503, -0.1822833079248284, -0.03065361358282756, 0.17020771349461317, 0.16699310098710943, -0.09970130063178757, -0.2884579738538253, 0.02482518210547836, -0.1571910181656888, -0.057569478038851526, 0.0006051443593755161, -0.03496130860780608, 0.007482221911418928, -0.23818669054810315, 0.048017031245239795, -0.005154386940986327, 0.0693473023911045, -0.056347474666337855, -0.08790447864018075, -0.049572364962978725, 0.017452729291805667, -0.12847917729172192, -0.034663979678529584, 0.35542444232851267, -0.07450638929050961, -0.14633940083727445, 0.30297910699569813, -0.021485923636347465, -0.05147962231342107, 0.13695730311056115, -0.15749283158539296, 0.04113879025441735, 0.16688172229603954, 0.10215083276215073, 0.08961862238277107, -0.18652097746882945, 0.06276440875340024, 0.013390542135561167, 0.15263702645770286, 0.15418766426841077, 0.11587673502540445, 0.2629491975275825, 0.24153649378312778, 0.06999249122909283, 0.1436807204752344, -0.21652780059559193, 0.0018479223809626005, -0.2203949217697325, -0.13168809886851143, -0.2666463857414584, 0.14376045108377322, -0.060606854150672955, -0.24229372570878022, 0.4252902409906997, 0.07312372762531247, 0.19503050032135558, -0.09752765216558457, 0.266785768562392, 0.14886815587938954, 0.15838362779851034, -0.07028264325903091, 0.2663367918297036, 0.2247618074522494, 0.10351420529441882, -0.2904913722926572, -0.036181084425762705, -0.08053475268159623] |
709.38 | Irradiation-induced confinement in a quasi-one-dimensional metal | The anisotropic resistivity of PrBa$_2$Cu$_4$O$_8$ has been measured as a
function of electron irradiation fluence. Localization effects are observed for
extremely small amounts of disorder corresponding to electron mean-free-paths
of order 100 unit cells. Estimates of the localization corrections suggest that
this anomalous localization threshold heralds a crossover to a ground state
with pronounced one-dimensional character in which conduction electrons become
confined to a small cluster of chains.
| cond-mat.str-el | the anisotropic resistivity of prba_2cu_4o_8 has been measured as a function of electron irradiation fluence localization effects are observed for extremely small amounts of disorder corresponding to electron meanfreepaths of order 100 unit cells estimates of the localization corrections suggest that this anomalous localization threshold heralds a crossover to a ground state with pronounced onedimensional character in which conduction electrons become confined to a small cluster of chains | [['the', 'anisotropic', 'resistivity', 'of', 'prba_2cu_4o_8', 'has', 'been', 'measured', 'as', 'a', 'function', 'of', 'electron', 'irradiation', 'fluence', 'localization', 'effects', 'are', 'observed', 'for', 'extremely', 'small', 'amounts', 'of', 'disorder', 'corresponding', 'to', 'electron', 'meanfreepaths', 'of', 'order', '100', 'unit', 'cells', 'estimates', 'of', 'the', 'localization', 'corrections', 'suggest', 'that', 'this', 'anomalous', 'localization', 'threshold', 'heralds', 'a', 'crossover', 'to', 'a', 'ground', 'state', 'with', 'pronounced', 'onedimensional', 'character', 'in', 'which', 'conduction', 'electrons', 'become', 'confined', 'to', 'a', 'small', 'cluster', 'of', 'chains']] | [-0.1255710757926435, 0.25426177991903387, -0.026900753734962028, 0.09562221072059508, 0.025108556516523307, -0.17328070486238337, 0.05389762706438299, 0.36965033844770756, -0.22935001468559837, -0.2893986562266946, 0.041144302866407946, -0.36053132123368625, -0.055262232925195026, 0.17928949455894969, 0.03668342067805283, 0.05538599152350798, 0.04554695560706451, 0.009168891647063634, -0.08322394902557682, -0.1779976284597069, 0.24080927359104595, 0.08365323195946128, 0.310813484056031, 0.12582798344630966, 0.07116203581886914, -0.010039706248790026, 0.10042208122253857, 0.05543685213470941, -0.09116469755302686, 0.08377927736214855, 0.2329102711587706, -0.13253778472939945, 0.2494343052727773, -0.4132410084883518, -0.2540121800266206, 0.05046459437032942, 0.17543510236667798, 0.13486929535557626, -0.07928865268716917, -0.26857954034965265, 0.0466660832231248, -0.18222528614569455, -0.15322454968083868, -0.03675538329544532, 0.061629509625216836, 0.011579537637504366, -0.28193395367741364, 0.1371290469816064, 0.045847661707632464, 0.046879494727096134, -0.09365917353973012, -0.07258709542699815, -0.026832205599502605, 0.10430306390694835, 0.06854218871825758, 0.05504709054880282, 0.19284352456794723, -0.13789541364103036, -0.06660021158099613, 0.3545422574833912, -0.03724000083029216, -0.09459996065946624, 0.19779580211102524, -0.2465667379746104, -0.07817985579672762, 0.25544909091995044, 0.15623705835519908, 0.0745864158277126, -0.13469788890934603, 0.03542128177222741, 0.006974110568134005, 0.18375747703890633, 0.035215557874728215, 0.09908638877780451, 0.20388796709149198, 0.19681529319838292, 0.04505748099044842, 0.1499160333615317, -0.2023692063110716, -0.020356821875526187, -0.20451050188721104, -0.13063309934702427, -0.216172857052537, 0.1266566413362264, -0.033303936963955706, -0.24759580559261582, 0.3968482823248076, 0.13444821171887109, 0.22777256103889906, -0.016023722629624364, 0.22043022887973004, 0.14355748253429362, 0.0962098242906744, 0.0019309067609035136, 0.2222311910796527, 0.16178662971908445, 0.07600685807205189, -0.2743767677422832, 0.08076576332506888, 0.02383551109404139] |
709.3801 | Fluctuation theorem for entropy production during effusion of a
relativistic ideal gas | The probability distribution of the entropy production for the effusion of a
relativistic ideal gas is calculated explicitly. This result is then extended
to include particle and anti-particle pair production and annihilation. In both
cases, the fluctuation theorem is verified.
| cond-mat.stat-mech | the probability distribution of the entropy production for the effusion of a relativistic ideal gas is calculated explicitly this result is then extended to include particle and antiparticle pair production and annihilation in both cases the fluctuation theorem is verified | [['the', 'probability', 'distribution', 'of', 'the', 'entropy', 'production', 'for', 'the', 'effusion', 'of', 'a', 'relativistic', 'ideal', 'gas', 'is', 'calculated', 'explicitly', 'this', 'result', 'is', 'then', 'extended', 'to', 'include', 'particle', 'and', 'antiparticle', 'pair', 'production', 'and', 'annihilation', 'in', 'both', 'cases', 'the', 'fluctuation', 'theorem', 'is', 'verified']] | [-0.05757913271227153, 0.16163683449849486, -0.13068656998220832, 0.1554253746813629, 0.03578279513749294, -0.09954589329427108, -0.007204840006306767, 0.26822725012898446, -0.2423393871751614, -0.23176543852314352, 0.009366202857927419, -0.3146782607771456, 0.014346320368349551, 0.1960016426310176, 0.014945482485927641, 0.05619264997076243, 0.07032882438506931, 0.07046950862277299, 0.0028834766242653133, -0.22142210393212736, 0.318816310656257, 0.07099834145046771, 0.270751375798136, 0.16787305963225663, 0.08488251570379361, 0.046253038654685955, -0.06423034643230494, 0.006980927390713987, -0.11292806898709387, 0.0757751827564789, 0.18715578003320843, 0.10052937106229365, 0.15146355716278775, -0.34740030239336195, -0.1963456735946238, 0.1328482108307071, 0.12552673283498733, 0.08521465961239301, -0.09064308041706681, -0.246396098844707, 0.0653069156454876, -0.26913781138136983, -0.1662502160295844, -0.023207927215844394, 0.06478608292527496, 0.022540891997050495, -0.3234307773411274, 0.1423852994805202, 0.09166889190673828, -0.024342886719387023, -0.042680652276612815, -0.06347729704575614, -0.09398448248393834, 0.05155223667388782, 0.07203313068603165, 0.004437266290187836, 0.22063904164824635, -0.1230317341745831, -0.11949031120893779, 0.40209255339577793, -0.07758409000234678, -0.22999099968001246, 0.16147517755161972, -0.17698716206941753, -0.11123149301856756, 0.14153708225348965, 0.12342126081930474, 0.08277174376416951, -0.1813884605653584, 0.10184690488677006, -0.03965806867927313, 0.0817510444263462, 0.08256690294947475, 0.02331106928177178, 0.2204616701230407, 0.10360804131487385, -0.029591521798283792, 0.15854878686368465, -0.12437696506967769, -0.127246649551671, -0.3713196041062474, -0.2729433686909033, -0.1998149801045656, 0.030163113097660243, -0.03053676577328588, -0.10514118710998446, 0.3376437805593014, 0.09395807824330404, 0.1596055696485564, 0.039741190511267635, 0.31110674660885707, 0.19257372163701802, -0.03090516442898661, 0.07918791201664135, 0.24985470656538383, 0.19981493162922562, 0.08387141893617808, -0.2375243982532993, 0.051144039793871346, 0.1056046987650916] |
709.3802 | Morse theory and conjugacy classes of finite subgroups | We construct a CAT(0) group containing a finitely presented subgroup with
infinitely many conjugacy classes of finite-order elements. Unlike previous
examples (which were based on right-angled Artin groups) our ambient CAT(0)
group does not contain any rank 3 free abelian subgroups.
We also construct examples of groups of type F_n inside mapping class groups,
Aut(F), and Out(F) which have infinitely many conjugacy classes of finite-order
elements.
| math.GR | we construct a cat0 group containing a finitely presented subgroup with infinitely many conjugacy classes of finiteorder elements unlike previous examples which were based on rightangled artin groups our ambient cat0 group does not contain any rank 3 free abelian subgroups we also construct examples of groups of type f_n inside mapping class groups autf and outf which have infinitely many conjugacy classes of finiteorder elements | [['we', 'construct', 'a', 'cat0', 'group', 'containing', 'a', 'finitely', 'presented', 'subgroup', 'with', 'infinitely', 'many', 'conjugacy', 'classes', 'of', 'finiteorder', 'elements', 'unlike', 'previous', 'examples', 'which', 'were', 'based', 'on', 'rightangled', 'artin', 'groups', 'our', 'ambient', 'cat0', 'group', 'does', 'not', 'contain', 'any', 'rank', '3', 'free', 'abelian', 'subgroups', 'we', 'also', 'construct', 'examples', 'of', 'groups', 'of', 'type', 'f_n', 'inside', 'mapping', 'class', 'groups', 'autf', 'and', 'outf', 'which', 'have', 'infinitely', 'many', 'conjugacy', 'classes', 'of', 'finiteorder', 'elements']] | [-0.158655314960263, 0.1502952781703436, -0.08377879937743825, 0.05080328187481924, -0.12540725903289224, -0.14782720633472005, -0.0034678678987829976, 0.45350410213524645, -0.2954828121671171, -0.24708066810148233, 0.12929515198762107, -0.31201969431431004, -0.09999835532807717, 0.2561687399480213, -0.16492293267087502, -0.06217803360160553, 0.0522263673430478, 0.1350496088465055, -0.08263998429262728, -0.3221724003299393, 0.4163011082194068, -0.21440908647227017, 0.22499402783190212, -0.03597928892651742, 0.0971771814934486, -0.02283450558245408, -0.04928783671648213, -0.001166477460752834, -0.12140513187500113, 0.09716877803051223, 0.36330958464267576, -0.017025651348486655, 0.2112992802126841, -0.32895904934654635, -0.21629675634374673, 0.32647244997717667, 0.14402610726767417, 0.0002591303429763877, -0.16405267682751978, -0.2819950846729405, 0.10669496922161091, -0.22779537948680986, -0.15301489738295926, -0.07456393612488738, 0.08025882727727576, 0.028495015209597168, -0.17375108188681418, -0.031091629079927578, 0.10375510513161619, 0.16255504654889757, 0.0011170975595825548, -0.10952742893079465, -0.029443584491893875, 0.18308128669829757, -0.0028816774826158176, -0.06878052313219417, 0.1654869480566545, 0.011883962701893213, -0.12807581088308131, 0.43419292766713735, 0.007301799120437919, -0.24267973498243725, 0.24941977558332976, -0.18640258012226585, -0.28822273921193275, 0.20353716870092534, 0.10289056156056398, 0.16855646608526126, -0.00745603737110893, 0.24146185696714162, -0.2334630987748052, 0.13795138989349431, 0.09498755451799794, -0.04698746654233246, 0.01696905538891301, 0.014094131469557231, 0.05066663694433925, 0.10226981930265372, 0.153451287910822, 0.08965105969797481, -0.3948108656049678, -0.16537883647745757, -0.034050900912420315, 0.12509065769479616, -0.10820704034620465, -0.28448151685226936, 0.42050377527872723, 0.02768552543905874, 0.06247351099878098, 0.15439283032548812, 0.11223502614126174, -0.1094584257789944, 0.15307059768361575, 0.13999181573462643, 0.005876653220956073, 0.2144284446152266, -0.2615142725760851, -0.056529763440432194, -0.03849024019401633, 0.3083689567583585] |
709.3803 | Complete Reducibility and Separability | Let G be a reductive linear algebraic group over an algebraically closed
field of characteristic p > 0. A subgroup of G is said to be separable in G if
its global and infinitesimal centralizers have the same dimension. We study the
interaction between the notion of separability and Serre's concept of
G-complete reducibility for subgroups of G. The separability hypothesis appears
in many general theorems concerning G-complete reducibility. We demonstrate
that many of these results fail without this hypothesis. On the other hand, we
prove that if G is a connected reductive group and p is very good for G, then
any subgroup of G is separable; we deduce that under these hypotheses on G, a
subgroup H of G is G-completely reducible provided the Lie algebra of G is
semisimple as an H-module.
Recently, Guralnick has proved that if H is a reductive subgroup of G and C
is a conjugacy class of G, then the intersection of C and H is a finite union
of H-conjugacy classes. For generic p -- when certain extra hypotheses hold,
including separability -- this follows from a well-known tangent space argument
due to Richardson, but in general, it rests on Lusztig's deep result that a
connected reductive group has only finitely many unipotent conjugacy classes.
We show that the analogue of Guralnick's result is false if one considers
conjugacy classes of n-tuples of elements from H for n > 1.
| math.GR math.AG | let g be a reductive linear algebraic group over an algebraically closed field of characteristic p 0 a subgroup of g is said to be separable in g if its global and infinitesimal centralizers have the same dimension we study the interaction between the notion of separability and serres concept of gcomplete reducibility for subgroups of g the separability hypothesis appears in many general theorems concerning gcomplete reducibility we demonstrate that many of these results fail without this hypothesis on the other hand we prove that if g is a connected reductive group and p is very good for g then any subgroup of g is separable we deduce that under these hypotheses on g a subgroup h of g is gcompletely reducible provided the lie algebra of g is semisimple as an hmodule recently guralnick has proved that if h is a reductive subgroup of g and c is a conjugacy class of g then the intersection of c and h is a finite union of hconjugacy classes for generic p when certain extra hypotheses hold including separability this follows from a wellknown tangent space argument due to richardson but in general it rests on lusztigs deep result that a connected reductive group has only finitely many unipotent conjugacy classes we show that the analogue of guralnicks result is false if one considers conjugacy classes of ntuples of elements from h for n 1 | [['let', 'g', 'be', 'a', 'reductive', 'linear', 'algebraic', 'group', 'over', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'p', '0', 'a', 'subgroup', 'of', 'g', 'is', 'said', 'to', 'be', 'separable', 'in', 'g', 'if', 'its', 'global', 'and', 'infinitesimal', 'centralizers', 'have', 'the', 'same', 'dimension', 'we', 'study', 'the', 'interaction', 'between', 'the', 'notion', 'of', 'separability', 'and', 'serres', 'concept', 'of', 'gcomplete', 'reducibility', 'for', 'subgroups', 'of', 'g', 'the', 'separability', 'hypothesis', 'appears', 'in', 'many', 'general', 'theorems', 'concerning', 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709.3804 | Simple and secure quantum key distribution with biphotons | The best qubit one-way quantum key distribution (QKD) protocol can tolerate
up to 14.1% in the error rate. It has been shown how this rate can be increased
by using larger quantum systems. The polarization state of a biphoton can
encode a three level quantum system - a qutrit. The realization of a QKD system
with biphotons encounters several problems in generating, manipulating and
detecting such photon states. We define those limitations and find within them
a few protocols that perform almost as well as the ideal qutrit protocol. One
advantage is that these protocols can be implemented with minor modifications
into existing single photon systems. The security of one protocol is proved for
the most general coherent attacks and the largest acceptable error rate for
this protocol is found to be around 17.7%. This is the first time, to the best
of our knowledge, that the security of qutrit QKD protocols is rigorously
analyzed against general attacks.
| quant-ph | the best qubit oneway quantum key distribution qkd protocol can tolerate up to 141 in the error rate it has been shown how this rate can be increased by using larger quantum systems the polarization state of a biphoton can encode a three level quantum system a qutrit the realization of a qkd system with biphotons encounters several problems in generating manipulating and detecting such photon states we define those limitations and find within them a few protocols that perform almost as well as the ideal qutrit protocol one advantage is that these protocols can be implemented with minor modifications into existing single photon systems the security of one protocol is proved for the most general coherent attacks and the largest acceptable error rate for this protocol is found to be around 177 this is the first time to the best of our knowledge that the security of qutrit qkd protocols is rigorously analyzed against general attacks | [['the', 'best', 'qubit', 'oneway', 'quantum', 'key', 'distribution', 'qkd', 'protocol', 'can', 'tolerate', 'up', 'to', '141', 'in', 'the', 'error', 'rate', 'it', 'has', 'been', 'shown', 'how', 'this', 'rate', 'can', 'be', 'increased', 'by', 'using', 'larger', 'quantum', 'systems', 'the', 'polarization', 'state', 'of', 'a', 'biphoton', 'can', 'encode', 'a', 'three', 'level', 'quantum', 'system', 'a', 'qutrit', 'the', 'realization', 'of', 'a', 'qkd', 'system', 'with', 'biphotons', 'encounters', 'several', 'problems', 'in', 'generating', 'manipulating', 'and', 'detecting', 'such', 'photon', 'states', 'we', 'define', 'those', 'limitations', 'and', 'find', 'within', 'them', 'a', 'few', 'protocols', 'that', 'perform', 'almost', 'as', 'well', 'as', 'the', 'ideal', 'qutrit', 'protocol', 'one', 'advantage', 'is', 'that', 'these', 'protocols', 'can', 'be', 'implemented', 'with', 'minor', 'modifications', 'into', 'existing', 'single', 'photon', 'systems', 'the', 'security', 'of', 'one', 'protocol', 'is', 'proved', 'for', 'the', 'most', 'general', 'coherent', 'attacks', 'and', 'the', 'largest', 'acceptable', 'error', 'rate', 'for', 'this', 'protocol', 'is', 'found', 'to', 'be', 'around', '177', 'this', 'is', 'the', 'first', 'time', 'to', 'the', 'best', 'of', 'our', 'knowledge', 'that', 'the', 'security', 'of', 'qutrit', 'qkd', 'protocols', 'is', 'rigorously', 'analyzed', 'against', 'general', 'attacks']] | [-0.18494651009177399, 0.1037704088505666, -0.08377625280694598, 0.061199748626121195, 0.02879063036458887, -0.25192872934031546, 0.07262878232319679, 0.3619386701589557, -0.23849019682061545, -0.3071859167046418, 0.0770018494904492, -0.2430455365253814, -0.09779480238190028, 0.28509815424016327, -0.0883925565337513, 0.16255403277480895, 0.05735942539254761, 0.02283577936268441, -0.023449873250121676, -0.2874783277904591, 0.3029232285620206, 0.05513339830417138, 0.3031911685184878, 0.029423915198262617, 0.09132444250225356, -0.020300455762156444, 0.057612859641029766, -0.04787513534805388, -0.06512822867233038, 0.08083493363484444, 0.29024324778194543, 0.1747356779342458, 0.29137187096984335, -0.36931799795585357, -0.21051509227977389, 0.095363124537691, 0.14078976926382686, 0.20483950765332234, -0.0178517901908108, -0.31945867855012844, 0.09505246134284308, -0.24218018854238615, -0.10383654718738121, -0.08840056177181234, -0.013336190915292805, 0.0012522240578653706, -0.22431732198092968, 0.031179169680816448, 0.04358664904291012, 0.010883565220958109, 0.0477228176796358, -0.03656343363854251, 0.012076489498340495, 0.15029982159768415, -0.046204680376715816, 0.02065858178550324, 0.16256695443906696, -0.08235278687955942, -0.19895322813361788, 0.37309160931807034, -0.03127648376794473, -0.19455803052083276, 0.12341178749883726, -0.0818169525954991, -0.11284946090879903, 0.10106354405892906, 0.13894446750296055, 0.08814836408094663, -0.1620862471194831, 0.0009637080940453537, -0.03304450376000801, 0.25681040358913554, 0.06693565968430014, 0.14460599383971043, 0.15698894808086666, 0.14652022691206282, 0.08434654388481834, 0.14736117522386466, -0.0841779368753459, -0.13851878063599016, -0.2805391036590953, -0.192482699143291, -0.21862604456603718, 0.08385302841805728, -0.04992114323768602, -0.07345422722935338, 0.4021107714421525, 0.1705854888768143, 0.1328225807304595, 0.010617165166327054, 0.37552572387288424, 0.09912278419760928, 0.08933109393236553, 0.11407255658369725, 0.27802099996382834, 0.10202567822264305, 0.04946518619396505, -0.16987082391686642, 0.15195812986626817, -0.02825449018703572] |
709.3805 | On the mathematics and physics of high genus invariants of [C^3/Z_3] | This paper wishes to foster communication between mathematicians and
physicists working in mirror symmetry and orbifold Gromov-Witten theory. We
provide a reader friendly review of the physics computation in
[arXiv:hep-th/0607100] that predicts Gromov-Witten invariants of [C^3/Z_3] in
arbitrary genus, and of the mathematical framework for expressing these
invariants as Hodge integrals. Using geometric properties of the Hodge classes,
we compute the unpointed invariants for g=2,3, thus providing the first high
genus mathematical check of the physics predictions.
| math.AG hep-th | this paper wishes to foster communication between mathematicians and physicists working in mirror symmetry and orbifold gromovwitten theory we provide a reader friendly review of the physics computation in arxivhepth0607100 that predicts gromovwitten invariants of c3z_3 in arbitrary genus and of the mathematical framework for expressing these invariants as hodge integrals using geometric properties of the hodge classes we compute the unpointed invariants for g23 thus providing the first high genus mathematical check of the physics predictions | [['this', 'paper', 'wishes', 'to', 'foster', 'communication', 'between', 'mathematicians', 'and', 'physicists', 'working', 'in', 'mirror', 'symmetry', 'and', 'orbifold', 'gromovwitten', 'theory', 'we', 'provide', 'a', 'reader', 'friendly', 'review', 'of', 'the', 'physics', 'computation', 'in', 'arxivhepth0607100', 'that', 'predicts', 'gromovwitten', 'invariants', 'of', 'c3z_3', 'in', 'arbitrary', 'genus', 'and', 'of', 'the', 'mathematical', 'framework', 'for', 'expressing', 'these', 'invariants', 'as', 'hodge', 'integrals', 'using', 'geometric', 'properties', 'of', 'the', 'hodge', 'classes', 'we', 'compute', 'the', 'unpointed', 'invariants', 'for', 'g23', 'thus', 'providing', 'the', 'first', 'high', 'genus', 'mathematical', 'check', 'of', 'the', 'physics', 'predictions']] | [-0.15025483550945004, 0.03734528988991913, -0.16062319429444247, 0.15414599526373327, -0.13687379759932428, -0.20111115005381994, 0.015254629683974934, 0.25749575219264154, -0.27222030157664495, -0.36530924801665704, 0.05300490408798827, -0.2213660710289045, -0.20192609219137872, 0.17882261520839834, -0.17158930017697122, 0.02747831217282893, 0.007171675486269554, 0.018353858457550432, -0.1167276213772742, -0.27190469199252365, 0.3492523226396818, -0.006137141247132891, 0.20549801248125732, 0.13871298984802133, 0.07670314014448147, 0.0048882674891501665, -0.061115358864251325, -0.07842277051684887, -0.18717482562629142, 0.2035509453792321, 0.3828788307575068, 0.10593328696038377, 0.13931293697341493, -0.46489061807331283, -0.11977116571200129, 0.10168240090991419, 0.07748602177506607, 0.10525618760699504, -0.016459732978163583, -0.25730045723091616, 0.055821174406446517, -0.15737973919175074, -0.22651118249632418, -0.14142658755027745, 0.01963736050713219, -0.019136007568847976, -0.15111023170481386, -0.022881030821927675, -0.02173357613575813, 0.17175582899270872, 0.003028771276340673, -0.09992360449886244, -0.05422187057985483, 0.14966757118236274, 0.05661128237108259, 0.0424135617580951, 0.05340374093410853, -0.19844598418383516, -0.1727434502773624, 0.37462945047177765, -0.017163063787034173, -0.18651164456969127, 0.12325664691774077, -0.10568462428636849, -0.23628573510550746, 0.057297134866913485, 0.11614819855649809, 0.1560476523183369, -0.05528522636986485, 0.14776430457085984, -0.005924415235456668, 0.05569484859312836, 0.10674056386281001, 0.02317091295078985, 0.23752816982175173, 0.0970388681529776, -0.012220084605934588, 0.1143678693394912, 0.0038308349352231936, -0.11489237559726462, -0.401251926184877, -0.2542800678454928, -0.1166513702758637, 0.11434386992263362, -0.08097365810355864, -0.15145708023766546, 0.4728060109099667, 0.1227194328982334, 0.09634055622461203, 0.17726761682187267, 0.2753927046923261, 0.04116703207010256, 0.009307865102432276, 0.06251721769436508, 0.14696449913868778, 0.2428364283650329, 0.05236925531521832, -0.13063968497475512, -0.015909254011747084, 0.19851710000933198] |
709.3806 | Correlation functions in conformal Toda field theory I | Two-dimensional sl(n) quantum Toda field theory on a sphere is considered.
This theory provides an important example of conformal field theory with higher
spin symmetry. We derive the three-point correlation functions of the
exponential fields if one of the three fields has a special form. In this case
it is possible to write down and solve explicitly the differential equation for
the four-point correlation function if the fourth field is completely
degenerate. We give also expressions for the three-point correlation functions
in the cases, when they can be expressed in terms of known functions. The
semiclassical and minisuperspace approaches in the conformal Toda field theory
are studied and the results coming from these approaches are compared with the
proposed analytical expression for the three-point correlation function. We
show, that in the framework of semiclassical and minisuperspace approaches
general three-point correlation function can be reduced to the
finite-dimensional integral.
| hep-th | twodimensional sln quantum toda field theory on a sphere is considered this theory provides an important example of conformal field theory with higher spin symmetry we derive the threepoint correlation functions of the exponential fields if one of the three fields has a special form in this case it is possible to write down and solve explicitly the differential equation for the fourpoint correlation function if the fourth field is completely degenerate we give also expressions for the threepoint correlation functions in the cases when they can be expressed in terms of known functions the semiclassical and minisuperspace approaches in the conformal toda field theory are studied and the results coming from these approaches are compared with the proposed analytical expression for the threepoint correlation function we show that in the framework of semiclassical and minisuperspace approaches general threepoint correlation function can be reduced to the finitedimensional integral | [['twodimensional', 'sln', 'quantum', 'toda', 'field', 'theory', 'on', 'a', 'sphere', 'is', 'considered', 'this', 'theory', 'provides', 'an', 'important', 'example', 'of', 'conformal', 'field', 'theory', 'with', 'higher', 'spin', 'symmetry', 'we', 'derive', 'the', 'threepoint', 'correlation', 'functions', 'of', 'the', 'exponential', 'fields', 'if', 'one', 'of', 'the', 'three', 'fields', 'has', 'a', 'special', 'form', 'in', 'this', 'case', 'it', 'is', 'possible', 'to', 'write', 'down', 'and', 'solve', 'explicitly', 'the', 'differential', 'equation', 'for', 'the', 'fourpoint', 'correlation', 'function', 'if', 'the', 'fourth', 'field', 'is', 'completely', 'degenerate', 'we', 'give', 'also', 'expressions', 'for', 'the', 'threepoint', 'correlation', 'functions', 'in', 'the', 'cases', 'when', 'they', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'known', 'functions', 'the', 'semiclassical', 'and', 'minisuperspace', 'approaches', 'in', 'the', 'conformal', 'toda', 'field', 'theory', 'are', 'studied', 'and', 'the', 'results', 'coming', 'from', 'these', 'approaches', 'are', 'compared', 'with', 'the', 'proposed', 'analytical', 'expression', 'for', 'the', 'threepoint', 'correlation', 'function', 'we', 'show', 'that', 'in', 'the', 'framework', 'of', 'semiclassical', 'and', 'minisuperspace', 'approaches', 'general', 'threepoint', 'correlation', 'function', 'can', 'be', 'reduced', 'to', 'the', 'finitedimensional', 'integral']] | [-0.1173993560321931, 0.07828560686834247, -0.08838409824435271, 0.1397822676202899, -0.04529446573625948, -0.12139515936173298, -0.07877093508078188, 0.3331143188414579, -0.24545207067323546, -0.2235042557145494, 0.07085863940301351, -0.2728072229609195, -0.2197579174849985, 0.18285129633511896, 0.03292370246521927, 0.05487454266639779, -0.012046223765906148, 0.07311259687097894, -0.15008971740206942, -0.2789063132682664, 0.3439707078568235, -0.009256905842276692, 0.26879423752276077, 0.07552315913946242, 0.09798129029710449, 0.05132520950566096, 0.0014883447878968877, 0.03156683212264889, -0.14797679207947875, 0.07794206858710134, 0.2566581740566353, 0.09755301495661607, 0.2003995740307948, -0.4373011704207071, -0.1884700057861345, 0.06819542832247838, 0.16123223510520482, 0.1382317092471026, 0.010492556497951768, -0.2429704276476735, 0.03618606455888398, -0.1636430083213978, -0.1563071932303845, -0.11047634493395989, 0.0010158593146558348, -0.00757513171993196, -0.2840865984294765, 0.1318235655008057, 0.005395787307124182, 0.01970799666565113, -0.06409354731629326, -0.09873354949632886, -0.0007285786465414472, 0.13120681936227294, 0.07561530405812822, 0.09744391406452083, 0.075520079914084, -0.17832256756672585, -0.11841231265350723, 0.3541426787568206, -0.09088732986600843, -0.30742077164452625, 0.1142489017849486, -0.18726653386083608, -0.15680787243213304, 0.07338368721271714, 0.1134231397567468, 0.1399267171415173, -0.15881654726409405, 0.16601467080181465, -0.04526448274358503, 0.1040062588085798, 0.06036119465716183, 0.021497757452920808, 0.20352051927821357, 0.0488956303106042, 0.030709947178587067, 0.1769131823990343, -0.01898484827944304, -0.1406912722933968, -0.35354648238501035, -0.14741588778781226, -0.1645376534843062, 0.09700888487183161, -0.1218291299029826, -0.1816489724646876, 0.41022791673674724, 0.11843529433807251, 0.12409211783606962, 0.10118372259328041, 0.25909619520393173, 0.2507099400029039, 0.10987261428404914, 0.038481687714895976, 0.2407050985100402, 0.19997227809083573, 0.051107003276450305, -0.19373750937253087, -0.04715937143349013, 0.11730812405034699] |
709.3807 | Synthetic Diamond and Wurtzite Structures Self-Assemble with Isotropic
Pair Interactions | Using inverse statistical-mechanical optimization techniques, we have
discovered isotropic pair interaction potentials with strongly repulsive cores
that cause the tetrahedrally coordinated diamond and wurtzite lattices to
stabilize, as evidenced by lattice sums, phonon spectra, positive-energy
defects, and self-assembly in classical molecular dynamics simulations. These
results challenge conventional thinking that such open lattices can only be
created via directional covalent interactions observed in nature. Thus, our
discovery adds to fundamental understanding of the nature of the solid state by
showing that isotropic interactions enable the self-assembly of open crystal
structures with a broader range of coordination number than previously thought.
Our work is important technologically because of its direct relevance generally
to the science of self-assembly and specifically to photonic crystal
fabrication.
| cond-mat.soft cond-mat.mtrl-sci | using inverse statisticalmechanical optimization techniques we have discovered isotropic pair interaction potentials with strongly repulsive cores that cause the tetrahedrally coordinated diamond and wurtzite lattices to stabilize as evidenced by lattice sums phonon spectra positiveenergy defects and selfassembly in classical molecular dynamics simulations these results challenge conventional thinking that such open lattices can only be created via directional covalent interactions observed in nature thus our discovery adds to fundamental understanding of the nature of the solid state by showing that isotropic interactions enable the selfassembly of open crystal structures with a broader range of coordination number than previously thought our work is important technologically because of its direct relevance generally to the science of selfassembly and specifically to photonic crystal fabrication | [['using', 'inverse', 'statisticalmechanical', 'optimization', 'techniques', 'we', 'have', 'discovered', 'isotropic', 'pair', 'interaction', 'potentials', 'with', 'strongly', 'repulsive', 'cores', 'that', 'cause', 'the', 'tetrahedrally', 'coordinated', 'diamond', 'and', 'wurtzite', 'lattices', 'to', 'stabilize', 'as', 'evidenced', 'by', 'lattice', 'sums', 'phonon', 'spectra', 'positiveenergy', 'defects', 'and', 'selfassembly', 'in', 'classical', 'molecular', 'dynamics', 'simulations', 'these', 'results', 'challenge', 'conventional', 'thinking', 'that', 'such', 'open', 'lattices', 'can', 'only', 'be', 'created', 'via', 'directional', 'covalent', 'interactions', 'observed', 'in', 'nature', 'thus', 'our', 'discovery', 'adds', 'to', 'fundamental', 'understanding', 'of', 'the', 'nature', 'of', 'the', 'solid', 'state', 'by', 'showing', 'that', 'isotropic', 'interactions', 'enable', 'the', 'selfassembly', 'of', 'open', 'crystal', 'structures', 'with', 'a', 'broader', 'range', 'of', 'coordination', 'number', 'than', 'previously', 'thought', 'our', 'work', 'is', 'important', 'technologically', 'because', 'of', 'its', 'direct', 'relevance', 'generally', 'to', 'the', 'science', 'of', 'selfassembly', 'and', 'specifically', 'to', 'photonic', 'crystal', 'fabrication']] | [-0.10375702292619904, 0.1953482115718205, -0.026308201881672048, 0.015988915220618804, -0.09232408152113876, -0.14743205578612886, 0.04619780758565122, 0.4301504080822645, -0.2903610747884805, -0.3203250595314567, 0.03379444112858835, -0.247313166545196, -0.19647479536827683, 0.16807826713866686, 0.062002023227882286, 0.031133924117831373, 0.054877270936719645, -0.0949280870816678, -0.025335228716192596, -0.23983477930392116, 0.25421392816034233, 0.07539268341377255, 0.3025843900655327, 0.08261044421579597, 0.011940640108736833, 0.035135250215318575, 0.05309129359916407, 0.008340899963393685, -0.14548189194832326, 0.17733399160899038, 0.2898477581507634, -0.01031259025162286, 0.22811233424697042, -0.4625588972948892, -0.27273354955664103, 0.07724184387417371, 0.18058534338493054, 0.13075999758006188, -0.1051085475632105, -0.2867493484109594, 0.04718265485803574, -0.12044329889126368, -0.14057793950254083, -0.11169301912242408, -0.005576234526378064, 0.041700176436700355, -0.1815431185397666, 0.07296463110568849, 0.09324492040967708, 0.05591369712001775, -0.08113505533696268, -0.1035373399519046, -0.031673360100277693, 0.050486752523825125, -0.01897706118727888, 0.010661538840417773, 0.1802894027311016, -0.12600022030624847, -0.18987253844095317, 0.45705774224032303, 0.03128093320812379, -0.13144997234094488, 0.2720828028780616, -0.11580227278480845, -0.11237035343839118, 0.17172038513582108, 0.1502354160020482, 0.05590168964733516, -0.12762108863108168, 0.040400381831640825, -0.002536258802649157, 0.19338799095404727, 0.0640819140590635, 0.07716279039313355, 0.24831380082240467, 0.19573421394336998, 0.01662840334937161, 0.1591832213659871, -0.026140423366071874, -0.13792521952004902, -0.18834477653515272, -0.15722348237956665, -0.21376509636578975, 0.08059095937281477, -0.04712896578026885, -0.17580915142879205, 0.31400201699026853, 0.10910266617742129, 0.13343304289458705, -0.03967862020723891, 0.21186504766252662, 0.00872030651893405, 0.10903361849948641, -0.014936001101616492, 0.2700748127232852, 0.16186952061396986, 0.0641292553002492, -0.2375291809430038, 0.054694601619416035, 0.014233598395150678] |
709.3808 | From stars to nuclei | We recall the basic physical principles governing the evolution of stars with
some emphasis on the role played by the nuclear reactions. We argue that in
general it is not possible from observations of stars to deduce constraints on
the nuclear reaction rates. This is the reason why precise measurements of
nuclear reaction rates are a necessity in order to make progresses in stellar
physics, nucleosynthesis and chemical evolution of galaxies. There are however
some stars which provides useful constraint on nuclear processes. The
Wolf-Rayet stars of the WN type present at their surface CNO equilibrium
patterns. There is also the particular case of the abundance of $^{22}$Ne at
the surface of WC stars. The abundance of this element is a measure of the
initial CNO content. Very interestingly, recent determinations of its abundance
at the surface of WC stars tend to confirm that massive stars in the solar
neighborhood have initial metallicities in agreement with the Asplund et al.
(2005) solar abundances.
| astro-ph | we recall the basic physical principles governing the evolution of stars with some emphasis on the role played by the nuclear reactions we argue that in general it is not possible from observations of stars to deduce constraints on the nuclear reaction rates this is the reason why precise measurements of nuclear reaction rates are a necessity in order to make progresses in stellar physics nucleosynthesis and chemical evolution of galaxies there are however some stars which provides useful constraint on nuclear processes the wolfrayet stars of the wn type present at their surface cno equilibrium patterns there is also the particular case of the abundance of 22ne at the surface of wc stars the abundance of this element is a measure of the initial cno content very interestingly recent determinations of its abundance at the surface of wc stars tend to confirm that massive stars in the solar neighborhood have initial metallicities in agreement with the asplund et al 2005 solar abundances | [['we', 'recall', 'the', 'basic', 'physical', 'principles', 'governing', 'the', 'evolution', 'of', 'stars', 'with', 'some', 'emphasis', 'on', 'the', 'role', 'played', 'by', 'the', 'nuclear', 'reactions', 'we', 'argue', 'that', 'in', 'general', 'it', 'is', 'not', 'possible', 'from', 'observations', 'of', 'stars', 'to', 'deduce', 'constraints', 'on', 'the', 'nuclear', 'reaction', 'rates', 'this', 'is', 'the', 'reason', 'why', 'precise', 'measurements', 'of', 'nuclear', 'reaction', 'rates', 'are', 'a', 'necessity', 'in', 'order', 'to', 'make', 'progresses', 'in', 'stellar', 'physics', 'nucleosynthesis', 'and', 'chemical', 'evolution', 'of', 'galaxies', 'there', 'are', 'however', 'some', 'stars', 'which', 'provides', 'useful', 'constraint', 'on', 'nuclear', 'processes', 'the', 'wolfrayet', 'stars', 'of', 'the', 'wn', 'type', 'present', 'at', 'their', 'surface', 'cno', 'equilibrium', 'patterns', 'there', 'is', 'also', 'the', 'particular', 'case', 'of', 'the', 'abundance', 'of', '22ne', 'at', 'the', 'surface', 'of', 'wc', 'stars', 'the', 'abundance', 'of', 'this', 'element', 'is', 'a', 'measure', 'of', 'the', 'initial', 'cno', 'content', 'very', 'interestingly', 'recent', 'determinations', 'of', 'its', 'abundance', 'at', 'the', 'surface', 'of', 'wc', 'stars', 'tend', 'to', 'confirm', 'that', 'massive', 'stars', 'in', 'the', 'solar', 'neighborhood', 'have', 'initial', 'metallicities', 'in', 'agreement', 'with', 'the', 'asplund', 'et', 'al', '2005', 'solar', 'abundances']] | [-0.03867085565430072, 0.16216944332628802, -0.0874230368580652, 0.09480155396640895, -0.05772920115065241, -0.02034109250065282, 0.09389520476949316, 0.3673627669551621, -0.16461658128965762, -0.33418221607450055, 0.02288793901801452, -0.2905865140899193, -0.048142240468435495, 0.17658979910214437, -0.07608410750052955, -0.009081077147375199, 0.13367905063223254, 0.029652769474506926, -0.06836722515833399, -0.28875545494007004, 0.3556682665952327, 0.07713632357015383, 0.16197682548160064, 0.012722805036700393, 0.005390429017962488, -0.1356683463640968, -0.06484306903921662, -0.044394029078696585, -0.17319443545126045, 0.07885067424939751, 0.26163669509732485, 0.16646029511298785, 0.18274277198254102, -0.42472708401230214, -0.2260346969338191, 0.0668189556714993, 0.1251759747717461, 0.1030241395516444, -0.15096707430691744, -0.19346896058628393, 0.06750397270465372, -0.1386290409036575, -0.17656044193480644, 0.012931784296742544, 0.07673146366070316, 0.0494527230860574, -0.24538828064887527, 0.09097533724881406, 0.06318902789059444, 0.09459029700881316, -0.09247053923596703, -0.1685360965934622, -0.07731818082953798, 0.11214153044657107, 0.04315489324301115, 0.0171671806526816, 0.14599009528699006, -0.12122344976131079, -0.0008062953986456057, 0.4434270933156182, -0.06925721081513683, -0.05830073534036798, 0.22548734624384462, -0.20318626225611733, -0.22798121263175927, 0.0756871160919681, 0.13577001223603458, 0.16057356783514556, -0.17352012720564666, 0.06968818768891763, -0.0005363927971274575, 0.1459581245485396, 0.05640707346125066, 0.06336341729880264, 0.25369388279590777, 0.16956083569818525, 0.02262928342643805, -0.009697846462664429, -0.14408011398738124, -0.10379344281137698, -0.2650484460708828, -0.14639467278929666, -0.08401592015831566, 0.08436730154227548, -0.12055715817114998, -0.12006462467662944, 0.32566865518449184, 0.11138483845383111, 0.19914491858013386, -0.02716708807717506, 0.25519425161411424, 0.09027519306393648, 0.0661769514186365, 0.07763596305315114, 0.33055178979533134, 0.25174240348146415, 0.12568701215465466, -0.2942492685643556, 0.1766291424022142, 0.043375364379054565] |
709.3809 | On the role of magnetic fields in abundance determinations | {Although there is considerable evidence supporting an ubiquitous magnetic
field in solar/stellar photospheres, its impact in the determination of
abundances has never been quantified. In this work we investigate whether the
magnetic field plays a measurable role for this kind of studies. To that end,
we carry out simulations of spectral line formation in the presence of a
magnetic field, and then use those profiles to derive the abundance of several
atomic species (Fe, Si, C and O) neglecting the magnetic field. In this way, we
find that the derived iron abundance can be significantly biased, with
systematic errors up to 0.1 dex. In the case of silicon, carbon and oxygen
their role is very marginal (errors smaller than 0.02 dex). We also find that
the effect of the magnetic field strongly depends on its inclination with
respect to the observer. We show that fields that are aligned with the observer
lead to an underestimation of the real abundance, whereas more inclined ones
overestimate it. In the case of a mixture of fields with different inclinations
these effects are likely to partly cancel each other out, making the role of
the magnetic field even less important. Finally, we derive a simple model that
can be used to determine the suitability of a spectral line when we wish to
avoid the bias introduced by the neglect of the magnetic field.
| astro-ph | although there is considerable evidence supporting an ubiquitous magnetic field in solarstellar photospheres its impact in the determination of abundances has never been quantified in this work we investigate whether the magnetic field plays a measurable role for this kind of studies to that end we carry out simulations of spectral line formation in the presence of a magnetic field and then use those profiles to derive the abundance of several atomic species fe si c and o neglecting the magnetic field in this way we find that the derived iron abundance can be significantly biased with systematic errors up to 01 dex in the case of silicon carbon and oxygen their role is very marginal errors smaller than 002 dex we also find that the effect of the magnetic field strongly depends on its inclination with respect to the observer we show that fields that are aligned with the observer lead to an underestimation of the real abundance whereas more inclined ones overestimate it in the case of a mixture of fields with different inclinations these effects are likely to partly cancel each other out making the role of the magnetic field even less important finally we derive a simple model that can be used to determine the suitability of a spectral line when we wish to avoid the bias introduced by the neglect of the magnetic field | [['although', 'there', 'is', 'considerable', 'evidence', 'supporting', 'an', 'ubiquitous', 'magnetic', 'field', 'in', 'solarstellar', 'photospheres', 'its', 'impact', 'in', 'the', 'determination', 'of', 'abundances', 'has', 'never', 'been', 'quantified', 'in', 'this', 'work', 'we', 'investigate', 'whether', 'the', 'magnetic', 'field', 'plays', 'a', 'measurable', 'role', 'for', 'this', 'kind', 'of', 'studies', 'to', 'that', 'end', 'we', 'carry', 'out', 'simulations', 'of', 'spectral', 'line', 'formation', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field', 'and', 'then', 'use', 'those', 'profiles', 'to', 'derive', 'the', 'abundance', 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709.381 | Asymptotic estimates for the number of contingency tables, integer
flows, and volumes of transportation polytopes | We prove an asymptotic estimate for the number of mxn non-negative integer
matrices (contingency tables) with prescribed row and column sums and, more
generally, for the number of integer feasible flows in a network. Similarly, we
estimate the volume of the polytope of mxn non-negative real matrices with
prescribed row and column sums. Our estimates are solutions of convex
optimization problems and hence can be computed efficiently. As a corollary, we
show that if row sums R=(r_1, ..., r_m) and column sums C=(c_1, ..., c_n) with
r_1 + ... + r_m =c_1 + ... +c_n =N are sufficiently far from constant vectors,
then, asymptotically, in the uniform probability space of the mxn non-negative
integer matrices with the total sum N of entries, the event consisting of the
matrices with row sums R and the event consisting of the matrices with column
sums C are positively correlated.
| math.CO math.MG | we prove an asymptotic estimate for the number of mxn nonnegative integer matrices contingency tables with prescribed row and column sums and more generally for the number of integer feasible flows in a network similarly we estimate the volume of the polytope of mxn nonnegative real matrices with prescribed row and column sums our estimates are solutions of convex optimization problems and hence can be computed efficiently as a corollary we show that if row sums rr_1 r_m and column sums cc_1 c_n with r_1 r_m c_1 c_n n are sufficiently far from constant vectors then asymptotically in the uniform probability space of the mxn nonnegative integer matrices with the total sum n of entries the event consisting of the matrices with row sums r and the event consisting of the matrices with column sums c are positively correlated | [['we', 'prove', 'an', 'asymptotic', 'estimate', 'for', 'the', 'number', 'of', 'mxn', 'nonnegative', 'integer', 'matrices', 'contingency', 'tables', 'with', 'prescribed', 'row', 'and', 'column', 'sums', 'and', 'more', 'generally', 'for', 'the', 'number', 'of', 'integer', 'feasible', 'flows', 'in', 'a', 'network', 'similarly', 'we', 'estimate', 'the', 'volume', 'of', 'the', 'polytope', 'of', 'mxn', 'nonnegative', 'real', 'matrices', 'with', 'prescribed', 'row', 'and', 'column', 'sums', 'our', 'estimates', 'are', 'solutions', 'of', 'convex', 'optimization', 'problems', 'and', 'hence', 'can', 'be', 'computed', 'efficiently', 'as', 'a', 'corollary', 'we', 'show', 'that', 'if', 'row', 'sums', 'rr_1', 'r_m', 'and', 'column', 'sums', 'cc_1', 'c_n', 'with', 'r_1', 'r_m', 'c_1', 'c_n', 'n', 'are', 'sufficiently', 'far', 'from', 'constant', 'vectors', 'then', 'asymptotically', 'in', 'the', 'uniform', 'probability', 'space', 'of', 'the', 'mxn', 'nonnegative', 'integer', 'matrices', 'with', 'the', 'total', 'sum', 'n', 'of', 'entries', 'the', 'event', 'consisting', 'of', 'the', 'matrices', 'with', 'row', 'sums', 'r', 'and', 'the', 'event', 'consisting', 'of', 'the', 'matrices', 'with', 'column', 'sums', 'c', 'are', 'positively', 'correlated']] | [-0.1700679188378142, 0.16452476346503905, 0.05099021765343148, -0.008213608232561311, 0.015058184900193764, -0.16973333833647034, 0.05066049661614644, 0.3710597815224901, -0.31977472120641376, -0.231480312424799, 0.17744632904994026, -0.3504858658307319, -0.1339881684142835, 0.0840123858731642, -0.05489174721481131, 0.09090021068042667, 0.04037007315941959, 0.08032203719636305, -0.14346635393821802, -0.3213555528748807, 0.29290210637397956, -0.05025835437767154, 0.15780264613546913, 0.00382937454759217, 0.11739880487610914, 0.013750600022190123, -0.05723043526824322, 0.028810236759428537, -0.11650286508555961, 0.12134597742454344, 0.27980346262468386, 0.1817200717251587, 0.22362345242001813, -0.4207372568520925, -0.0879420467012515, 0.2054070141434455, 0.15295439873815334, -0.02850421027844879, 0.01706933662604805, -0.18141127426659676, 0.118744962356261, -0.17998558742483314, -0.11741677746712732, -0.033136308449488, 0.08752123429942474, 0.10910935842485683, -0.4128644584758515, 0.05297884897483017, 0.017395049333572388, 0.02313557846753074, -0.015215392861006071, -0.3046981566284093, 0.01136887948055544, 0.06916114261119272, 0.02464667868820562, 6.473097588411339e-05, 0.06355999911324584, -0.030340044290202556, -0.059098425451934125, 0.3391393304822578, -0.05502698157257367, -0.27984259340563694, 0.03332661994793218, -0.1989352493379399, -0.12217868562693969, 0.15946628517142947, 0.1528855148634183, 0.15308077495357544, -0.00937521588325286, 0.09341881137840423, -0.19694551011453643, 0.14359571812372895, 0.1169614669826659, 0.004674723703521405, 0.2078858180350135, -0.02059525797116778, 0.15402186199982495, 0.13880436265675297, -0.05161954998541221, -0.02568470561381081, -0.31123326742090285, -0.15738388311734303, -0.2715641288170524, 0.11665106050857751, -0.23892748418114174, -0.20629796559299282, 0.30736863704920886, 0.01915151658367446, 0.23951689107343554, 0.20341111560144443, 0.24314257926676128, 0.10817720647566288, 0.013759685116619033, 0.11094402447811884, 0.022860041767586586, 0.24327744517421765, 0.005489421452281715, -0.10994014223843224, 0.08849741481981582, 0.1829694584146035] |
709.3811 | Simulation of majority rule disturbed by power-law noise | Simulations are reported on the Ising two-dimensional ferromagnet in the
presence of a special kind of noise. The noise spectrum P(n) follows a power
law, where P(n) is the probability of flipping randomly selected n spins at
each timestep. This is introduced to mimic the self-organized criticality as a
model influence of a complex environment. We reproduced the phase transition
similar to the case of P(n) = constant. Above some value of the noise amplitude
the magnetisation tends to zero; otherwise it remains constant after some
relaxation. Information of the initial spin orientation remains preserved to
some extent by short-range spin-spin correlations. The distribution of the
times between flips is exponential. The results are discussed as a step towards
modeling of social systems.
| cond-mat.stat-mech | simulations are reported on the ising twodimensional ferromagnet in the presence of a special kind of noise the noise spectrum pn follows a power law where pn is the probability of flipping randomly selected n spins at each timestep this is introduced to mimic the selforganized criticality as a model influence of a complex environment we reproduced the phase transition similar to the case of pn constant above some value of the noise amplitude the magnetisation tends to zero otherwise it remains constant after some relaxation information of the initial spin orientation remains preserved to some extent by shortrange spinspin correlations the distribution of the times between flips is exponential the results are discussed as a step towards modeling of social systems | [['simulations', 'are', 'reported', 'on', 'the', 'ising', 'twodimensional', 'ferromagnet', 'in', 'the', 'presence', 'of', 'a', 'special', 'kind', 'of', 'noise', 'the', 'noise', 'spectrum', 'pn', 'follows', 'a', 'power', 'law', 'where', 'pn', 'is', 'the', 'probability', 'of', 'flipping', 'randomly', 'selected', 'n', 'spins', 'at', 'each', 'timestep', 'this', 'is', 'introduced', 'to', 'mimic', 'the', 'selforganized', 'criticality', 'as', 'a', 'model', 'influence', 'of', 'a', 'complex', 'environment', 'we', 'reproduced', 'the', 'phase', 'transition', 'similar', 'to', 'the', 'case', 'of', 'pn', 'constant', 'above', 'some', 'value', 'of', 'the', 'noise', 'amplitude', 'the', 'magnetisation', 'tends', 'to', 'zero', 'otherwise', 'it', 'remains', 'constant', 'after', 'some', 'relaxation', 'information', 'of', 'the', 'initial', 'spin', 'orientation', 'remains', 'preserved', 'to', 'some', 'extent', 'by', 'shortrange', 'spinspin', 'correlations', 'the', 'distribution', 'of', 'the', 'times', 'between', 'flips', 'is', 'exponential', 'the', 'results', 'are', 'discussed', 'as', 'a', 'step', 'towards', 'modeling', 'of', 'social', 'systems']] | [-0.19894591154774927, 0.15476970888529218, -0.049131139047962964, 0.062049909671348685, -0.010727540466774132, -0.15270285554932522, 0.037854206229208924, 0.35819085394261313, -0.26905106688987035, -0.273220651164712, 0.06640566338987289, -0.2906589375476765, -0.11349291883057869, 0.13583579634079618, 0.0025013073383262485, 0.035702376458488526, -0.02048180272161472, 0.05023824756384873, -0.054792122329016535, -0.23565214425020042, 0.29249600053478136, 0.06674063643135253, 0.2517878272585937, -0.0018348579455289196, 0.06488790631019434, -0.0009451836469720621, 0.046404329236390714, 0.018132845214644415, -0.12945836729018903, -0.00034644130663182894, 0.19974745549719597, 0.010018023643184637, 0.24856404471467583, -0.39151937209191867, -0.21445722596864902, 0.09443533177617326, 0.12963087370878726, 0.15291742258514354, -0.024188297189062187, -0.2656997065040756, 0.07503958771551089, -0.1395854499805566, -0.177089739930587, -0.021473451147283443, 0.04422040916425863, 0.0430729515300911, -0.26873793497158704, 0.1110126774602562, 0.1323386960525493, 0.03254548270927101, -0.026508363897026686, -0.11388068849633097, -0.03424012414027067, 0.1517007334594859, 0.05818761747089963, 0.06426029406739857, 0.17682481911720432, -0.14631955756721865, -0.093383615401375, 0.3619152715078509, -0.03799687667948301, -0.17941982357106248, 0.14531613251988273, -0.18433360203138752, -0.12600931898522816, 0.14286213785459548, 0.13183336266026388, 0.07972807891135625, -0.11874762886646585, 0.06825345646986952, -0.0005410673196015299, 0.18197288849681129, 0.03967046525451492, 0.03040045120783883, 0.1975892759309929, 0.16666375925062132, 0.06010379579269373, 0.16753517899883635, -0.09988241566184786, -0.1495323935905319, -0.2916579505859981, -0.11057267528118901, -0.263909199801808, 0.10976712722483961, -0.1058542564297553, -0.14916968850999093, 0.3943942172727624, 0.13379584460091762, 0.24179415749080602, 0.03881479072056283, 0.26218882522767134, 0.1323574168481635, 0.01619462530342404, 0.03193396454805567, 0.20573295059028945, 0.15658716492728925, 0.10373499112386929, -0.2393355875573747, 0.13251117650862235, 0.006799335017052219] |
709.3812 | Pascual Jordan's resolution of the conundrum of the wave-particle
duality of light | In 1909, Einstein derived a formula for the mean square energy fluctuation in
black-body radiation. This formula is the sum of a wave term and a particle
term. In a key contribution to the 1925 Dreimaennerarbeit with Born and
Heisenberg, Jordan showed that one recovers both terms in a simple model of
quantized waves. So the two terms do not require separate mechanisms but arise
from a single consistent dynamical framework. Several authors have argued that
various infinities invalidate Jordan's conclusions. In this paper, we defend
Jordan's argument against such criticism. In particular, we note that the
fluctuation in a narrow frequency range, which is what Jordan calculated, is
perfectly finite. We also note, however, that Jordan's argument is incomplete.
In modern terms, Jordan calculated the quantum uncertainty in the energy of a
subsystem in an energy eigenstate of the whole system, whereas the thermal
fluctuation is the average of this quantity over an ensemble of such states.
Still, our overall conclusion is that Jordan's argument is basically sound and
that he deserves credit for resolving a major conundrum in the development of
quantum physics.
| physics.hist-ph | in 1909 einstein derived a formula for the mean square energy fluctuation in blackbody radiation this formula is the sum of a wave term and a particle term in a key contribution to the 1925 dreimaennerarbeit with born and heisenberg jordan showed that one recovers both terms in a simple model of quantized waves so the two terms do not require separate mechanisms but arise from a single consistent dynamical framework several authors have argued that various infinities invalidate jordans conclusions in this paper we defend jordans argument against such criticism in particular we note that the fluctuation in a narrow frequency range which is what jordan calculated is perfectly finite we also note however that jordans argument is incomplete in modern terms jordan calculated the quantum uncertainty in the energy of a subsystem in an energy eigenstate of the whole system whereas the thermal fluctuation is the average of this quantity over an ensemble of such states still our overall conclusion is that jordans argument is basically sound and that he deserves credit for resolving a major conundrum in the development of quantum physics | [['in', '1909', 'einstein', 'derived', 'a', 'formula', 'for', 'the', 'mean', 'square', 'energy', 'fluctuation', 'in', 'blackbody', 'radiation', 'this', 'formula', 'is', 'the', 'sum', 'of', 'a', 'wave', 'term', 'and', 'a', 'particle', 'term', 'in', 'a', 'key', 'contribution', 'to', 'the', '1925', 'dreimaennerarbeit', 'with', 'born', 'and', 'heisenberg', 'jordan', 'showed', 'that', 'one', 'recovers', 'both', 'terms', 'in', 'a', 'simple', 'model', 'of', 'quantized', 'waves', 'so', 'the', 'two', 'terms', 'do', 'not', 'require', 'separate', 'mechanisms', 'but', 'arise', 'from', 'a', 'single', 'consistent', 'dynamical', 'framework', 'several', 'authors', 'have', 'argued', 'that', 'various', 'infinities', 'invalidate', 'jordans', 'conclusions', 'in', 'this', 'paper', 'we', 'defend', 'jordans', 'argument', 'against', 'such', 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0.044180888363727085, 0.06618718264887677] |
709.3813 | Type IIB Flows with N=1 Supersymmetry | We write general and explicit equations which solve the supersymmetry
transformations with two arbitrary complex-proportional Weyl spinors on
$\mathcal{N}=1$ supersymmetric type IIB strings backgrounds with all R-R $F_1$,
$F_3$, $F_5$ and NS-NS $H_3$ fluxes turned on using SU(3) structures. The
equations are generalizations of the ones found for specific relations between
the two spinors by Grana, Minasian, Petrini and Tomasiello in [1] and by Butti,
Grana, Minasian, Petrini and Zaffaroni in [2]. The general equations allow to
study systematically generic type IIB backgrounds with $\mathcal{N}=1$
supersymmetry. We then explore some specific classes of flows with constant
axion, flows with constant dilaton, flows on conformally Calabi-Yau
backgrounds, flows with imaginary self-dual 3-form flux, flows with constant
ratio of the two spinors, the corresponding equations are written down and some
of their features and relations are discussed.
| hep-th | we write general and explicit equations which solve the supersymmetry transformations with two arbitrary complexproportional weyl spinors on mathcaln1 supersymmetric type iib strings backgrounds with all rr f_1 f_3 f_5 and nsns h_3 fluxes turned on using su3 structures the equations are generalizations of the ones found for specific relations between the two spinors by grana minasian petrini and tomasiello in 1 and by butti grana minasian petrini and zaffaroni in 2 the general equations allow to study systematically generic type iib backgrounds with mathcaln1 supersymmetry we then explore some specific classes of flows with constant axion flows with constant dilaton flows on conformally calabiyau backgrounds flows with imaginary selfdual 3form flux flows with constant ratio of the two spinors the corresponding equations are written down and some of their features and relations are discussed | [['we', 'write', 'general', 'and', 'explicit', 'equations', 'which', 'solve', 'the', 'supersymmetry', 'transformations', 'with', 'two', 'arbitrary', 'complexproportional', 'weyl', 'spinors', 'on', 'mathcaln1', 'supersymmetric', 'type', 'iib', 'strings', 'backgrounds', 'with', 'all', 'rr', 'f_1', 'f_3', 'f_5', 'and', 'nsns', 'h_3', 'fluxes', 'turned', 'on', 'using', 'su3', 'structures', 'the', 'equations', 'are', 'generalizations', 'of', 'the', 'ones', 'found', 'for', 'specific', 'relations', 'between', 'the', 'two', 'spinors', 'by', 'grana', 'minasian', 'petrini', 'and', 'tomasiello', 'in', '1', 'and', 'by', 'butti', 'grana', 'minasian', 'petrini', 'and', 'zaffaroni', 'in', '2', 'the', 'general', 'equations', 'allow', 'to', 'study', 'systematically', 'generic', 'type', 'iib', 'backgrounds', 'with', 'mathcaln1', 'supersymmetry', 'we', 'then', 'explore', 'some', 'specific', 'classes', 'of', 'flows', 'with', 'constant', 'axion', 'flows', 'with', 'constant', 'dilaton', 'flows', 'on', 'conformally', 'calabiyau', 'backgrounds', 'flows', 'with', 'imaginary', 'selfdual', '3form', 'flux', 'flows', 'with', 'constant', 'ratio', 'of', 'the', 'two', 'spinors', 'the', 'corresponding', 'equations', 'are', 'written', 'down', 'and', 'some', 'of', 'their', 'features', 'and', 'relations', 'are', 'discussed']] | [-0.1723623019851633, 0.1652068366016845, 0.019081709140202782, 0.12784938736638027, -0.11099768850479776, -0.20671505447991415, -0.058311944507729654, 0.3206623483600387, -0.14368263273430404, -0.27550437853414456, 0.10681046425962626, -0.29114786158802347, -0.1449171627121074, 0.14106421223355095, -0.02622088645376376, -0.006428093451367163, -0.03168054817439015, 0.01172989537181861, -0.1682183877495465, -0.3097090843522838, 0.38075582676831243, -0.0728084230213426, 0.24500034316859917, -0.02544192891262138, 0.12115378538494123, -0.07017428158615618, -0.05490045465177981, -0.02851349454192417, -0.1632650017545258, 0.10395440613892652, 0.2257866486437869, 0.0548712619191119, 0.021129771719561583, -0.43692310618709274, -0.18171464869102685, 0.09507571978828133, 0.16440713973090387, 0.08337174775600155, 0.010268884829989175, -0.2908990271493737, 0.050671349581914826, -0.14797103510293833, -0.12085145358830246, -0.09585125748469467, 0.03902010791309511, 0.0043060666822425245, -0.20731823727724824, 0.06647830533642154, -0.015441016111403022, 0.04093153163123486, -0.09588363239499949, -0.12301781667055868, -0.10257625381059166, 0.025859731016680598, 0.12952691157445756, 0.034366978490516654, 0.08848887076080124, -0.159337663185655, -0.13999083849128835, 0.36319995494976415, -0.08523446245991222, -0.31145809974813304, 0.11961001332209849, -0.08921902401914904, -0.18497882932841556, 0.09475513986909567, 0.08784387675947997, 0.16714792342773124, -0.1497700432447522, 0.19665664085577964, -0.012316631903844093, 0.07672559282978747, 0.13885937406987287, -0.004474892093341297, 0.22452884068740392, 0.030454031594876033, 0.00021660792877647414, 0.09505985995559994, 0.0064847338579789695, -0.06529945440576482, -0.4098940861633798, -0.1274943854868301, 0.017667221141728893, 0.17739142991824827, -0.1632061350262948, -0.1422646323335357, 0.3326293981300472, 0.016986513833746438, 0.14047215483846393, 0.08201235451313334, 0.13532038881971653, 0.07524984420291078, 0.07553516455740084, 0.11380774362374153, 0.21718987854025604, 0.22326667367397293, 0.1014934030792384, -0.22401059400238124, -0.18533153455954657, 0.19713428122888027] |
709.3814 | Molecules in galaxies | The main achievements, current developments and prospects of molecular
studies in external galaxies are reviewed. They are put in the context of the
results of several decades of studies of molecules in local interstellar
medium, their chemistry and their importance for star formation. CO
observations have revealed the gross structure of molecular gas in galaxies.
Together with other molecules, they are among the best tracers of star
formation at galactic scales. Our knowledge about molecular abundances in
various local galactic environments is progressing. They trace physical
conditions and metallicity, and they are closely related to dust processes and
large aromatic molecules. Major recent developments include mega-masers, and
molecules in Active Galactic Nuclei; millimetre emission of molecules at very
high redshift; and infrared H2 emission as tracer of warm molecular gas, shocks
and photodissociation regions. The advent of sensitive giant interferometers
from the centimetre to sub-millimetre range, especially ALMA in the near future
in the mm/submm range, will open a new area for molecular studies in galaxies
and their use to trace star formation at all distances.
| astro-ph | the main achievements current developments and prospects of molecular studies in external galaxies are reviewed they are put in the context of the results of several decades of studies of molecules in local interstellar medium their chemistry and their importance for star formation co observations have revealed the gross structure of molecular gas in galaxies together with other molecules they are among the best tracers of star formation at galactic scales our knowledge about molecular abundances in various local galactic environments is progressing they trace physical conditions and metallicity and they are closely related to dust processes and large aromatic molecules major recent developments include megamasers and molecules in active galactic nuclei millimetre emission of molecules at very high redshift and infrared h2 emission as tracer of warm molecular gas shocks and photodissociation regions the advent of sensitive giant interferometers from the centimetre to submillimetre range especially alma in the near future in the mmsubmm range will open a new area for molecular studies in galaxies and their use to trace star formation at all distances | [['the', 'main', 'achievements', 'current', 'developments', 'and', 'prospects', 'of', 'molecular', 'studies', 'in', 'external', 'galaxies', 'are', 'reviewed', 'they', 'are', 'put', 'in', 'the', 'context', 'of', 'the', 'results', 'of', 'several', 'decades', 'of', 'studies', 'of', 'molecules', 'in', 'local', 'interstellar', 'medium', 'their', 'chemistry', 'and', 'their', 'importance', 'for', 'star', 'formation', 'co', 'observations', 'have', 'revealed', 'the', 'gross', 'structure', 'of', 'molecular', 'gas', 'in', 'galaxies', 'together', 'with', 'other', 'molecules', 'they', 'are', 'among', 'the', 'best', 'tracers', 'of', 'star', 'formation', 'at', 'galactic', 'scales', 'our', 'knowledge', 'about', 'molecular', 'abundances', 'in', 'various', 'local', 'galactic', 'environments', 'is', 'progressing', 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709.3815 | Bulge properties and dark matter content of early-type barred galaxies | The dynamics of a barred galaxy depends on the pattern speed of its bar. The
only direct method for measuring the pattern speed of a bar is the
Tremaine-Weinberg technique. This method is best suited to the analysis of the
distribution and dynamics of the stellar component. Therefore it has been
mostly used for early-type barred galaxies. Most of them host a classical
bulge. On the other hand, a variety of indirect methods, which are based on the
analysis of the distribution and dynamics of the gaseous component, has been
used to measure the bar pattern speed in late-type barred galaxies. Nearly all
the measured bars are as rapidly rotating as they can be. By comparing this
result with high-resolution numerical simulations of bars in dark matter halos,
it is possible to conclude that these bars reside in maximal disks.
| astro-ph | the dynamics of a barred galaxy depends on the pattern speed of its bar the only direct method for measuring the pattern speed of a bar is the tremaineweinberg technique this method is best suited to the analysis of the distribution and dynamics of the stellar component therefore it has been mostly used for earlytype barred galaxies most of them host a classical bulge on the other hand a variety of indirect methods which are based on the analysis of the distribution and dynamics of the gaseous component has been used to measure the bar pattern speed in latetype barred galaxies nearly all the measured bars are as rapidly rotating as they can be by comparing this result with highresolution numerical simulations of bars in dark matter halos it is possible to conclude that these bars reside in maximal disks | [['the', 'dynamics', 'of', 'a', 'barred', 'galaxy', 'depends', 'on', 'the', 'pattern', 'speed', 'of', 'its', 'bar', 'the', 'only', 'direct', 'method', 'for', 'measuring', 'the', 'pattern', 'speed', 'of', 'a', 'bar', 'is', 'the', 'tremaineweinberg', 'technique', 'this', 'method', 'is', 'best', 'suited', 'to', 'the', 'analysis', 'of', 'the', 'distribution', 'and', 'dynamics', 'of', 'the', 'stellar', 'component', 'therefore', 'it', 'has', 'been', 'mostly', 'used', 'for', 'earlytype', 'barred', 'galaxies', 'most', 'of', 'them', 'host', 'a', 'classical', 'bulge', 'on', 'the', 'other', 'hand', 'a', 'variety', 'of', 'indirect', 'methods', 'which', 'are', 'based', 'on', 'the', 'analysis', 'of', 'the', 'distribution', 'and', 'dynamics', 'of', 'the', 'gaseous', 'component', 'has', 'been', 'used', 'to', 'measure', 'the', 'bar', 'pattern', 'speed', 'in', 'latetype', 'barred', 'galaxies', 'nearly', 'all', 'the', 'measured', 'bars', 'are', 'as', 'rapidly', 'rotating', 'as', 'they', 'can', 'be', 'by', 'comparing', 'this', 'result', 'with', 'highresolution', 'numerical', 'simulations', 'of', 'bars', 'in', 'dark', 'matter', 'halos', 'it', 'is', 'possible', 'to', 'conclude', 'that', 'these', 'bars', 'reside', 'in', 'maximal', 'disks']] | [-0.0835513001108276, 0.05269721848224955, -0.13598238352153982, 0.06787164923485502, -0.0834441992021831, -0.043849978306596836, -0.007596828780203526, 0.3987032565421292, -0.20481682527960013, -0.31567394424762046, 0.07878938015783206, -0.27017522550054957, -0.08859990678195442, 0.23518230278444077, 0.00874434997926333, 0.05739845851411311, 0.031067463562690786, -0.035717372303562506, -0.03146482262319686, -0.27852952335295933, 0.29231911826147033, 0.047032313221799474, 0.2015945784032478, -0.055022794054821134, 0.045333173275659125, -0.08456186188850552, -0.08764544645590441, -0.0015150235234094517, -0.13397181112445, 0.0490536405605131, 0.21928511383011937, 0.14335319463363183, 0.2177270114039337, -0.39813826378168804, -0.18896400034427643, 0.09733297764323652, 0.21844439610306707, 0.09836619532850038, -0.1021796081339874, -0.26121393162757156, 0.13618446621777755, -0.16136893412497427, -0.1526146609036784, 0.0038609293888189965, 0.04830272393301129, 0.05240022476895579, -0.20706911953166127, 0.1391586567341749, 0.06927449917420744, 0.08018031846066671, -0.01944228126251671, -0.0876000663332109, -0.03158884857714708, 0.10992621030475545, 0.04960082582630483, 0.08367060967721045, 0.23473173066907163, -0.16025668878573923, -0.038727816706523296, 0.43689538183222926, -0.07969598698961948, -0.15575642618891183, 0.2611604950606956, -0.18187744964379818, -0.10643241080854621, 0.07841848947240838, 0.16950359091029635, 0.13745089883783035, -0.11503711954823562, 0.04202931418632423, -0.08563167289830745, 0.1935827345321221, 0.03084415032395295, 0.019949230214219175, 0.28087876790814337, 0.1570991421608986, 0.06963047584535421, 0.05816844584561685, -0.16646537032398295, -0.07477275590520419, -0.19813730545075878, -0.13840816348591553, -0.1405237240126423, -0.007338651703737144, -0.09664284828925572, -0.1335829708924783, 0.4041346945533795, 0.07849162535400994, 0.2244027159575905, 0.029365368179735795, 0.34398103962386295, 0.06907022901577875, 0.13309663339002456, 0.08186035592973764, 0.31782371807577353, 0.18283671422229547, 0.027519576590774315, -0.26692477213884036, 0.10930690192866938, -0.012357300528258617] |
709.3816 | Little Higgs Model Discrimination at the LHC and ILC | We propose a means to discriminate between the two basic variants of Little
Higgs models, the Product Group and Simple Group models, at the next generation
of colliders. It relies on a special coupling of light pseudoscalar particles
present in Little Higgs models, the pseudoaxions, to the Z and the Higgs boson,
which is present only in Simple Group models. We discuss the collider
phenomenology of the pseudoaxion in the presence of such a coupling at the LHC,
where resonant production and decay of either the Higgs or the pseudoaxion
induced by that coupling can be observed for much of parameter space. The full
allowed range of parameters, including regions where the observability is
limited at the LHC, is covered by a future ILC, where double scalar production
would be a golden channel to look for.
| hep-ph | we propose a means to discriminate between the two basic variants of little higgs models the product group and simple group models at the next generation of colliders it relies on a special coupling of light pseudoscalar particles present in little higgs models the pseudoaxions to the z and the higgs boson which is present only in simple group models we discuss the collider phenomenology of the pseudoaxion in the presence of such a coupling at the lhc where resonant production and decay of either the higgs or the pseudoaxion induced by that coupling can be observed for much of parameter space the full allowed range of parameters including regions where the observability is limited at the lhc is covered by a future ilc where double scalar production would be a golden channel to look for | [['we', 'propose', 'a', 'means', 'to', 'discriminate', 'between', 'the', 'two', 'basic', 'variants', 'of', 'little', 'higgs', 'models', 'the', 'product', 'group', 'and', 'simple', 'group', 'models', 'at', 'the', 'next', 'generation', 'of', 'colliders', 'it', 'relies', 'on', 'a', 'special', 'coupling', 'of', 'light', 'pseudoscalar', 'particles', 'present', 'in', 'little', 'higgs', 'models', 'the', 'pseudoaxions', 'to', 'the', 'z', 'and', 'the', 'higgs', 'boson', 'which', 'is', 'present', 'only', 'in', 'simple', 'group', 'models', 'we', 'discuss', 'the', 'collider', 'phenomenology', 'of', 'the', 'pseudoaxion', 'in', 'the', 'presence', 'of', 'such', 'a', 'coupling', 'at', 'the', 'lhc', 'where', 'resonant', 'production', 'and', 'decay', 'of', 'either', 'the', 'higgs', 'or', 'the', 'pseudoaxion', 'induced', 'by', 'that', 'coupling', 'can', 'be', 'observed', 'for', 'much', 'of', 'parameter', 'space', 'the', 'full', 'allowed', 'range', 'of', 'parameters', 'including', 'regions', 'where', 'the', 'observability', 'is', 'limited', 'at', 'the', 'lhc', 'is', 'covered', 'by', 'a', 'future', 'ilc', 'where', 'double', 'scalar', 'production', 'would', 'be', 'a', 'golden', 'channel', 'to', 'look', 'for']] | [-0.09748735940635977, 0.20418723708580194, -0.04447299516879652, 0.106148722991587, -0.10410355539608966, -0.18669111290878124, 0.035402122325168046, 0.3291575107586515, -0.2660017820855822, -0.25569692483473133, 0.08765813973578214, -0.2569057998223477, -0.05415903020184487, 0.17961145604460718, 0.053841841951533055, 0.022746461601106122, 0.05490808675719617, 0.04785334632170441, -0.04351230810896274, -0.24327118405370343, 0.32603441457339455, 0.06879747713066857, 0.1885558860787355, 0.08621173239011756, 0.09211901659556829, 0.03816363001576118, 0.0002982115915716242, -0.05112641346867724, -0.11886404802076225, 0.09453517173909966, 0.1871055378969151, 0.08761152764439911, 0.1991028322826263, -0.3443967622759588, -0.17484001973335742, 0.18595658060546746, 0.1442865093224956, 0.0941429267239822, -0.07141281280115329, -0.2855057289741714, 0.08778252189693055, -0.20124431785798685, -0.06796609573340152, -0.026147942717858207, -0.028159034013857737, -0.049458295772851935, -0.32395112340557664, 0.03844789325204842, -0.053831097152878475, 0.034964065831017625, 0.021251130506724995, -0.12565761422122115, -0.05854313241605483, 0.03772711433874279, 0.10231403729138787, 0.001666298064211493, 0.13113687772548635, -0.21007475131345393, -0.149001328903764, 0.40718854710832925, -0.10770709255217191, -0.18432515665806612, 0.20871229903294827, -0.19662086944684715, -0.14637919568443014, 0.08448222011536606, 0.2340993879646275, 0.0926756944253986, -0.12473055538173546, 0.16328463864877396, -0.018038107636932504, 0.1577403387773837, 0.021762789679033792, 0.049353458333130484, 0.25278275568202574, 0.22563854197505862, 0.02812332198064884, 0.08823531072223834, -0.07406220143243178, -0.0642212766345919, -0.40258669610450265, -0.15447306045440629, -0.0814314790905508, 0.02061127480941222, -0.050100685191115615, -0.10558769470491611, 0.42517541136989806, 0.10672506114454283, 0.2578722817159039, -0.0018445801012122126, 0.290950876318247, 0.09964663346352823, 0.10339861521981006, 0.020279039959538805, 0.34106780611909926, 0.12510426738641828, 0.07268433519707554, -0.18780655818494885, 0.03559293773244409, 0.04888425831107751] |
709.3817 | Laser cooling in the Penning trap: an analytical model for cooling rates
in the presence of an axializing field | Ions stored in Penning traps may have useful applications in the field of
quantum information processing. There are, however, difficulties associated
with the laser cooling of one of the radial motions of ions in these traps,
namely the magnetron motion. The application of a small radio-frequency
quadrupolar electric potential resonant with the sum of the two radial motional
frequencies has been shown to couple these motions and to lead to more
efficient laser cooling. We present an analytical model that enables us to
determine laser cooling rates in the presence of such an 'axializing' field. It
is found that this field leads to an averaging of the laser cooling rates for
the two motions and hence improves the overall laser cooling efficiency. The
model also predicts shifts in the motional frequencies due to the axializing
field that are in qualitative agreement with those measured in recent
experiments. It is possible to determine laser cooling rates experimentally by
studying the phase response of the cooled ions to a near resonant excitation
field. Using the model developed in this paper, we study the expected phase
response when an axializing field is present.
| quant-ph | ions stored in penning traps may have useful applications in the field of quantum information processing there are however difficulties associated with the laser cooling of one of the radial motions of ions in these traps namely the magnetron motion the application of a small radiofrequency quadrupolar electric potential resonant with the sum of the two radial motional frequencies has been shown to couple these motions and to lead to more efficient laser cooling we present an analytical model that enables us to determine laser cooling rates in the presence of such an axializing field it is found that this field leads to an averaging of the laser cooling rates for the two motions and hence improves the overall laser cooling efficiency the model also predicts shifts in the motional frequencies due to the axializing field that are in qualitative agreement with those measured in recent experiments it is possible to determine laser cooling rates experimentally by studying the phase response of the cooled ions to a near resonant excitation field using the model developed in this paper we study the expected phase response when an axializing field is present | [['ions', 'stored', 'in', 'penning', 'traps', 'may', 'have', 'useful', 'applications', 'in', 'the', 'field', 'of', 'quantum', 'information', 'processing', 'there', 'are', 'however', 'difficulties', 'associated', 'with', 'the', 'laser', 'cooling', 'of', 'one', 'of', 'the', 'radial', 'motions', 'of', 'ions', 'in', 'these', 'traps', 'namely', 'the', 'magnetron', 'motion', 'the', 'application', 'of', 'a', 'small', 'radiofrequency', 'quadrupolar', 'electric', 'potential', 'resonant', 'with', 'the', 'sum', 'of', 'the', 'two', 'radial', 'motional', 'frequencies', 'has', 'been', 'shown', 'to', 'couple', 'these', 'motions', 'and', 'to', 'lead', 'to', 'more', 'efficient', 'laser', 'cooling', 'we', 'present', 'an', 'analytical', 'model', 'that', 'enables', 'us', 'to', 'determine', 'laser', 'cooling', 'rates', 'in', 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709.3818 | Spin-induced angular momentum switching | When light is transmitted through optically inhomogeneous and anisotropic
media the spatial distribution of light can be modified according to its input
polarization state. A complete analysis of this process, based on the paraxial
approximation, is presented, and we show how it can be exploited to produce a
spin-controlled-change in the orbital angular momentum of light beams
propagating in patterned space-variant-optical-axis phase plates. We also
unveil a new effect. The development of a strong modulation in the angular
momentum change upon variation of the optical path through the phase plates.
| quant-ph physics.optics | when light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state a complete analysis of this process based on the paraxial approximation is presented and we show how it can be exploited to produce a spincontrolledchange in the orbital angular momentum of light beams propagating in patterned spacevariantopticalaxis phase plates we also unveil a new effect the development of a strong modulation in the angular momentum change upon variation of the optical path through the phase plates | [['when', 'light', 'is', 'transmitted', 'through', 'optically', 'inhomogeneous', 'and', 'anisotropic', 'media', 'the', 'spatial', 'distribution', 'of', 'light', 'can', 'be', 'modified', 'according', 'to', 'its', 'input', 'polarization', 'state', 'a', 'complete', 'analysis', 'of', 'this', 'process', 'based', 'on', 'the', 'paraxial', 'approximation', 'is', 'presented', 'and', 'we', 'show', 'how', 'it', 'can', 'be', 'exploited', 'to', 'produce', 'a', 'spincontrolledchange', 'in', 'the', 'orbital', 'angular', 'momentum', 'of', 'light', 'beams', 'propagating', 'in', 'patterned', 'spacevariantopticalaxis', 'phase', 'plates', 'we', 'also', 'unveil', 'a', 'new', 'effect', 'the', 'development', 'of', 'a', 'strong', 'modulation', 'in', 'the', 'angular', 'momentum', 'change', 'upon', 'variation', 'of', 'the', 'optical', 'path', 'through', 'the', 'phase', 'plates']] | [-0.13935924279609357, 0.19911006615835836, -0.16748786496993323, 0.034487339069466376, -0.1122695007678968, -0.07437426857226952, 0.04875870376021008, 0.45127039845101535, -0.293977610735138, -0.27471692861184815, 0.0735044858579799, -0.24062160631133753, -0.11881700270301239, 0.18807160477048124, -0.019888092552057722, 0.03253343709961469, 0.03845060579161244, -0.04761758486909622, -0.054083110616457736, -0.17374216323580846, 0.30544448842887173, 0.051550153619080614, 0.32270603251527064, 0.04799144139873202, 0.12220700781009244, 0.0737412911628119, -0.028800702749074182, 0.011583269274028267, -0.07507105710630474, 0.07482742562371475, 0.17053806015544318, 0.03386606135675472, 0.17720836693082342, -0.43059519242325967, -0.2421487339729951, 0.06064844606655904, 0.16526400609026579, 0.1596504794433713, -0.06655850556324533, -0.2728239656743509, -0.010003036401361565, -0.11280499970201742, -0.17004887400385502, -0.04987087385432625, -0.0017999866765669801, 0.06550365463110873, -0.24647116432474417, 0.06046349295138498, 0.05431534753403288, 0.013902512040327896, -0.033052623099634235, -0.05472185363231057, -0.06526056977666238, 0.06686093106724332, 0.026075290510396535, 0.050033554461234336, 0.10343248494477435, -0.08967484204119748, -0.05742535860521126, 0.37958020669281145, -0.09552053080617705, -0.22239559794649144, 0.09986317125201988, -0.17912798456911166, 0.014273707077584484, 0.1770680319115689, 0.250002942640673, 0.12039285879158838, -0.1343011497977965, 0.002530999189316803, -0.015124878835525702, 0.2129427098341032, 0.08440464563583108, 0.09133319004269486, 0.2701707309273512, 0.1590411398356082, 0.01399981140540066, 0.17944400406453165, -0.1390212559040678, -0.06890179438050836, -0.26752397954061796, -0.1734068795578258, -0.1954095391768285, 0.043992166085941295, -0.09899975485346989, -0.13718981541354547, 0.4263103322115388, 0.15319067053496838, 0.18215461260512134, -0.07327307951213284, 0.3280966958369721, 0.11798455592625859, 0.04572570336114785, 0.06326224458065223, 0.3159091253341599, 0.15578892664052546, 0.16035172596721994, -0.24905049294466153, 0.05007581756746566, -0.015611567338716915] |
709.3819 | Anomalous Paramagnetic Magnetization in Mixed State of CeCoIn$_5$ single
crystals | Magnetization and torque measurements were performed on CeCoIn$_5$ single
crystals to study the mixed-state thermodynamics. These measurements allow the
determination of both paramagnetic and vortex responses in the mixed-state
magnetization. The paramagnetic magnetization is suppressed in the mixed state
with the spin susceptibility increasing with increasing magnetic field. The
dependence of spin susceptibility on magnetic field is due to the fact that
heavy electrons contribute both to superconductivity and paramagnetism and a
large Zeeman effect exists in this system. No anomaly in the vortex response
was found within the investigated temperature and field range.
| cond-mat.str-el | magnetization and torque measurements were performed on cecoin_5 single crystals to study the mixedstate thermodynamics these measurements allow the determination of both paramagnetic and vortex responses in the mixedstate magnetization the paramagnetic magnetization is suppressed in the mixed state with the spin susceptibility increasing with increasing magnetic field the dependence of spin susceptibility on magnetic field is due to the fact that heavy electrons contribute both to superconductivity and paramagnetism and a large zeeman effect exists in this system no anomaly in the vortex response was found within the investigated temperature and field range | [['magnetization', 'and', 'torque', 'measurements', 'were', 'performed', 'on', 'cecoin_5', 'single', 'crystals', 'to', 'study', 'the', 'mixedstate', 'thermodynamics', 'these', 'measurements', 'allow', 'the', 'determination', 'of', 'both', 'paramagnetic', 'and', 'vortex', 'responses', 'in', 'the', 'mixedstate', 'magnetization', 'the', 'paramagnetic', 'magnetization', 'is', 'suppressed', 'in', 'the', 'mixed', 'state', 'with', 'the', 'spin', 'susceptibility', 'increasing', 'with', 'increasing', 'magnetic', 'field', 'the', 'dependence', 'of', 'spin', 'susceptibility', 'on', 'magnetic', 'field', 'is', 'due', 'to', 'the', 'fact', 'that', 'heavy', 'electrons', 'contribute', 'both', 'to', 'superconductivity', 'and', 'paramagnetism', 'and', 'a', 'large', 'zeeman', 'effect', 'exists', 'in', 'this', 'system', 'no', 'anomaly', 'in', 'the', 'vortex', 'response', 'was', 'found', 'within', 'the', 'investigated', 'temperature', 'and', 'field', 'range']] | [-0.19326120739842348, 0.2587447861268958, -0.015965921674889732, 0.0027610904579248993, -0.06364848068915308, -0.10701403960565779, 0.05727241494930647, 0.3534056786051456, -0.21734265565000316, -0.31500786974867606, 0.025883815246336955, -0.33752436940855485, -0.04986077503479542, 0.18700186612996014, 0.0713739656877922, 0.01202271772211695, -0.05891456417343084, 0.035201999680832666, -0.1201629760808886, -0.19372122219585358, 0.29244767503188723, 0.0062270867861212885, 0.3562032421258219, 0.12605498111905886, 0.04389179214101998, 0.04946556389381356, 0.10920536689004524, 0.0899817416025821, -0.1078528183481583, -0.015569509165559678, 0.22436954057280054, -0.09600889374145326, 0.1481743309488322, -0.4503614856722824, -0.1938072046248906, 0.05899577517498364, 0.09243693329552387, 0.15939597564531452, -0.08598878319087894, -0.2678525888737529, -0.0051313008471550615, -0.10615938206877004, -0.10397227165819284, -0.1540840877655973, -0.014790544951423765, -0.028335843019762098, -0.27510315124341783, 0.1445371828319386, 0.06328645975953166, 0.14682097943063746, -0.13415928489152104, -0.11463821050091745, -0.058073009775475935, 0.04155929047772859, 0.10965489619411528, 0.11950042565660353, 0.19245504613648703, -0.13940805954452445, -0.12222589871430016, 0.29904790111678714, -0.06779469599194349, -0.09609784629255375, 0.12199096703416411, -0.2807802387780728, -0.07380793760332496, 0.17177664303651793, 0.12162758669558357, 0.08582950811436836, -0.13554651012763064, 0.048795439725855684, -0.00267730056843225, 0.1922674924927823, -0.009216608269080679, 0.05540838108789374, 0.27300504751582727, 0.16998444462908394, -0.004158646170485844, 0.15776798797850597, -0.15885923079591482, -0.0896087090578921, -0.19964876511391808, -0.15983268079357815, -0.22304404668628852, 0.04708465039878687, -0.05365917863781896, -0.16952026608657647, 0.3826555624762748, 0.18971131429660748, 0.14784915598562642, -0.07555752790017807, 0.2598191511933692, 0.13298075362059109, 0.09697217997807533, 0.06331934330073442, 0.2856084135202493, 0.2758942043057029, 0.2006376203882726, -0.4068538705382417, 0.09203162178040501, -0.06171531905915509] |
709.382 | A pathway to multivariate Gaussian density | A general principle called "conservation of the ellipsoid of concentration"
is introduced and a generalized entropic form of order 'alpha' is optimized
under this principle. It is shown that this can produce a density which can act
as a pathway to multivariate Gaussian density. The resulting entropic pathway
contains as special cases the Boltzmann-Gibbs (Shannon) and Tsallis
(Havrda-Charvat) entropic forms.
| cond-mat.stat-mech | a general principle called conservation of the ellipsoid of concentration is introduced and a generalized entropic form of order alpha is optimized under this principle it is shown that this can produce a density which can act as a pathway to multivariate gaussian density the resulting entropic pathway contains as special cases the boltzmanngibbs shannon and tsallis havrdacharvat entropic forms | [['a', 'general', 'principle', 'called', 'conservation', 'of', 'the', 'ellipsoid', 'of', 'concentration', 'is', 'introduced', 'and', 'a', 'generalized', 'entropic', 'form', 'of', 'order', 'alpha', 'is', 'optimized', 'under', 'this', 'principle', 'it', 'is', 'shown', 'that', 'this', 'can', 'produce', 'a', 'density', 'which', 'can', 'act', 'as', 'a', 'pathway', 'to', 'multivariate', 'gaussian', 'density', 'the', 'resulting', 'entropic', 'pathway', 'contains', 'as', 'special', 'cases', 'the', 'boltzmanngibbs', 'shannon', 'and', 'tsallis', 'havrdacharvat', 'entropic', 'forms']] | [-0.07887143885212329, 0.17157572671130766, -0.17495416924357415, 0.11103390692151152, -0.07368590145682295, -0.16500026679908236, 0.01110722979841133, 0.2544363679364324, -0.27953331486787647, -0.2380627606684963, 0.016233453659030297, -0.24182775599959616, -0.19618291376779476, 0.176918182708323, -0.09768246905878186, 0.07365375347435474, -0.030388649075757713, 0.0868083852964143, -0.050792477113039546, -0.19473791966835657, 0.27641038697911424, 0.09439357747905888, 0.28463518150771655, 0.04271601015061606, 0.15500298294549186, 0.005035005775668348, 0.06894109942950308, 0.10356877861216465, -0.19075977126352275, 0.17582106147116672, 0.23971453097959358, 0.150780584771807, 0.304565080612277, -0.3169097723439336, -0.2824356657452881, 0.13852494404030344, 0.09193513796975215, 0.09531257320777513, -0.029013679983715217, -0.243862989731133, 0.006619585677981377, -0.2294337784871459, -0.14011613672288756, -0.12785861221297334, 0.010025679615015786, 0.04763329954197009, -0.3389344654045999, 0.1816446367961665, 0.1392917761579156, -0.034572221959630646, -0.020631995331496, -0.09996379447596458, -0.04125665802663813, 0.021596064511686563, 0.03698688258494561, 0.043289259749387084, 0.1732365726493299, -0.029268895170631973, -0.06353833146082859, 0.37931034717087947, -0.006752673057296003, -0.2626314794799934, 0.11967058936133981, -0.06485877972251425, -0.1428711411698411, 0.06281521408236586, 0.11011437178434183, 0.08702357104048133, -0.1777465122441451, 0.08805360483044448, -0.041632812893173346, 0.14232819769531488, 0.1253112195370098, 0.013603267435488913, 0.16047409921884537, 0.046536772313993426, 0.10430327429397342, 0.22743809375291069, -0.10681584731986125, -0.15444356847244003, -0.34987378396714724, -0.22359289992600678, -0.23970805949841936, 0.10155846152144174, -0.1188851877731698, -0.17147841556579807, 0.306003458739724, 0.05509502836115037, 0.13455736971615503, 0.05689436990651302, 0.22778488176021103, 0.18874884089066957, 0.06621586165080467, 0.03345314783509821, 0.1908721547263364, 0.18787518998918434, 0.039558491002147395, -0.14979400058897832, 0.12746604278218002, 0.09039461908396333] |
709.3821 | New Digit Results and Several Problems | We give some new relations for Newman digit sums respectively different
modulos and put some problems. In particular, for the odd prime modulos we put
an important conjecture.
| math.NT | we give some new relations for newman digit sums respectively different modulos and put some problems in particular for the odd prime modulos we put an important conjecture | [['we', 'give', 'some', 'new', 'relations', 'for', 'newman', 'digit', 'sums', 'respectively', 'different', 'modulos', 'and', 'put', 'some', 'problems', 'in', 'particular', 'for', 'the', 'odd', 'prime', 'modulos', 'we', 'put', 'an', 'important', 'conjecture']] | [-0.20848391244474512, 0.05568885336274084, -0.10695686846828231, 0.18121595924290326, -0.1138065831305889, -0.2177398307965352, 0.027446397222005404, 0.30287406826391816, -0.244772703673404, -0.2565796979201528, 0.06919045493346997, -0.2506540712739269, -0.1402597397995683, 0.25993090638747585, -0.06954608854049674, 0.043349766181423686, -0.016278221343572322, 0.023267200001730368, -0.022212030760084208, -0.3988169487565756, 0.36101765300218874, -0.03713510257120316, 0.1685362721864994, 0.1574510820568181, 0.06709960113781002, 0.04377765238929827, -0.03310709074139595, -0.03225372051103757, -0.23365247786904758, 0.13260297561422563, 0.2669423387314265, 0.13726660043287736, 0.2550540901720524, -0.49473226700837797, -0.07906628775302894, 0.18038274218829778, 0.1485806128834016, 0.024951185028140362, -0.11335827331416883, -0.22215554433373305, 0.10326599723731096, -0.1598151637814366, -0.11008679236357029, -0.12470660759852482, 0.1577623842570644, 0.007255919277667999, -0.2742957523665749, -0.01951384757502148, 0.14019751126089922, 0.10267407941417052, -0.07527728693989608, -0.28073852910445285, 0.1651314772092379, 0.15251483495991963, 0.05024953387104548, -0.04498200700618327, -0.10791508882091595, -0.08571547112212731, -0.16463973186910152, 0.3498227349840678, 0.043005476862442896, -0.2250205103594523, 0.10240418908114617, -0.1568088261768795, -0.3651918541066922, -0.024771937992996894, 0.1603543910269554, 0.11597759763781841, -0.010851643800448913, 0.06105330589791545, -0.14733546717952078, 0.03903658902988984, 0.1968176748890143, 0.01769351973556555, 0.17767871250040257, 0.06422505139982185, 0.014939255331857847, 0.19127482097022808, -0.06108031206979202, 0.022962218329596978, -0.3272376561967226, -0.18098019199589124, -0.0971705665668616, 0.0740974059758278, -0.19732495105339554, -0.1026518282910379, 0.3095439305672279, 0.1653759925124737, 0.16275618153695876, 0.11179910048555869, 0.1699589531009014, 0.14464617289531118, -0.0259957667440176, 0.023185336248179037, 0.17264642442191522, 0.17599633894860744, 0.008173778653144836, -0.07787444951156011, -0.013587790111509653, 0.12830288713583007] |
709.3822 | Mesoscale simulations of polymer dynamics in microchannel flows | The non-equilibrium structural and dynamical properties of flexible polymers
confined in a square microchannel and exposed to a Poiseuille flow are
investigated by mesoscale simulations. The chain length and the flow strength
are systematically varied. Two transport regimes are identified, corresponding
to weak and strong confinement. For strong confinement, the transport
properties are independent of polymer length. The analysis of the long-time
tumbling dynamics of short polymers yields non-periodic motion with a sublinear
dependence on the flow strength. We find distinct differences for
conformational as well as dynamical properties from results obtained for simple
shear flow.
| cond-mat.soft cond-mat.stat-mech | the nonequilibrium structural and dynamical properties of flexible polymers confined in a square microchannel and exposed to a poiseuille flow are investigated by mesoscale simulations the chain length and the flow strength are systematically varied two transport regimes are identified corresponding to weak and strong confinement for strong confinement the transport properties are independent of polymer length the analysis of the longtime tumbling dynamics of short polymers yields nonperiodic motion with a sublinear dependence on the flow strength we find distinct differences for conformational as well as dynamical properties from results obtained for simple shear flow | [['the', 'nonequilibrium', 'structural', 'and', 'dynamical', 'properties', 'of', 'flexible', 'polymers', 'confined', 'in', 'a', 'square', 'microchannel', 'and', 'exposed', 'to', 'a', 'poiseuille', 'flow', 'are', 'investigated', 'by', 'mesoscale', 'simulations', 'the', 'chain', 'length', 'and', 'the', 'flow', 'strength', 'are', 'systematically', 'varied', 'two', 'transport', 'regimes', 'are', 'identified', 'corresponding', 'to', 'weak', 'and', 'strong', 'confinement', 'for', 'strong', 'confinement', 'the', 'transport', 'properties', 'are', 'independent', 'of', 'polymer', 'length', 'the', 'analysis', 'of', 'the', 'longtime', 'tumbling', 'dynamics', 'of', 'short', 'polymers', 'yields', 'nonperiodic', 'motion', 'with', 'a', 'sublinear', 'dependence', 'on', 'the', 'flow', 'strength', 'we', 'find', 'distinct', 'differences', 'for', 'conformational', 'as', 'well', 'as', 'dynamical', 'properties', 'from', 'results', 'obtained', 'for', 'simple', 'shear', 'flow']] | [-0.1688816610064047, 0.219641684427188, -0.08060906330744426, 0.04347546768258326, 0.005632935630274005, -0.12933081695761453, -0.05639579723841356, 0.4241899041614185, -0.34350551397074014, -0.24392592393754362, 0.06470167506752962, -0.24793788513246304, -0.1270751406943115, 0.20558124811698994, 0.03453442140986832, 0.09897029749117792, 0.03964729743044396, -0.025687283773246843, -0.04691487607002879, -0.13569363177521154, 0.1931384500070029, 0.014074316818247704, 0.30387633563562605, 0.08722510729421629, 0.07297470133319924, 0.013825969634732852, 0.026123615039978176, 0.1380875460211731, -0.27513741206591175, 0.05323196519748308, 0.1493098612894149, -0.06440720583433783, 0.2113021540765961, -0.4317691138809702, -0.2757090816933972, 0.01616743863269221, 0.1358512444445902, 0.1087947854345354, -0.03086051323164914, -0.2426420877648828, 0.06903448032729405, -0.10969446315357345, -0.13198676669829487, -0.0821972046517961, 0.052219313860405236, 0.16292509376459444, -0.23637041226417446, 0.16366148272451633, 0.04844833569768525, 0.13135168411342116, -0.03677476592323122, -0.06586308146749313, -0.05856852453871397, 0.16866174267124734, 0.10689088926301338, -0.0335463179750756, 0.23237183913685536, -0.16769780751989552, -0.04668126986750091, 0.38684588073131937, -0.0625008388766825, -0.19545567225820074, 0.2805687069000366, -0.12512858356058132, -0.09002049001962102, 0.17852651125576813, 0.17857120178329447, 0.09683859910971175, -0.17186118805936226, -0.005003577748235936, -0.03423946296000698, 0.15763576936054355, 0.045478676164445155, 0.03573429249081528, 0.20952249182543406, 0.20139466418671267, 0.035520587694918504, 0.19916718112896584, -0.08910142504949665, -0.158707972606256, -0.2804399136390809, -0.0893204596668511, -0.14962742466984005, 0.06258519035448747, -0.1303734300593836, -0.1944080743463322, 0.3827985208384537, 0.07671561767439054, 0.19854063515837575, 0.0664948843283734, 0.20913838606672167, 0.05907646421837853, 0.0026921762231116495, 0.06121193019013541, 0.2629525608790573, 0.19413425979534318, 0.11025179991944849, -0.30294373524035717, 0.059670599681946136, 0.08711719214625191] |
709.3823 | The 3-fold vertex via stable pairs | The theory of stable pairs in the derived category yields an enumerative
geometry of curves in 3-folds. We evaluate the equivariant vertex for stable
pairs on toric 3-folds in terms of weighted box counting. In the toric
Calabi-Yau case, the result simplifies to a new form of pure box counting. The
conjectural equivalence with the DT vertex predicts remarkable identities. The
equivariant vertex governs primary insertions in the theory of stable pairs for
toric varieties. We consider also the descendent vertex and conjecture the
complete rationality of the descendent theory for stable pairs.
| math.AG hep-th | the theory of stable pairs in the derived category yields an enumerative geometry of curves in 3folds we evaluate the equivariant vertex for stable pairs on toric 3folds in terms of weighted box counting in the toric calabiyau case the result simplifies to a new form of pure box counting the conjectural equivalence with the dt vertex predicts remarkable identities the equivariant vertex governs primary insertions in the theory of stable pairs for toric varieties we consider also the descendent vertex and conjecture the complete rationality of the descendent theory for stable pairs | [['the', 'theory', 'of', 'stable', 'pairs', 'in', 'the', 'derived', 'category', 'yields', 'an', 'enumerative', 'geometry', 'of', 'curves', 'in', '3folds', 'we', 'evaluate', 'the', 'equivariant', 'vertex', 'for', 'stable', 'pairs', 'on', 'toric', '3folds', 'in', 'terms', 'of', 'weighted', 'box', 'counting', 'in', 'the', 'toric', 'calabiyau', 'case', 'the', 'result', 'simplifies', 'to', 'a', 'new', 'form', 'of', 'pure', 'box', 'counting', 'the', 'conjectural', 'equivalence', 'with', 'the', 'dt', 'vertex', 'predicts', 'remarkable', 'identities', 'the', 'equivariant', 'vertex', 'governs', 'primary', 'insertions', 'in', 'the', 'theory', 'of', 'stable', 'pairs', 'for', 'toric', 'varieties', 'we', 'consider', 'also', 'the', 'descendent', 'vertex', 'and', 'conjecture', 'the', 'complete', 'rationality', 'of', 'the', 'descendent', 'theory', 'for', 'stable', 'pairs']] | [-0.17402359670508774, 0.01451289854704037, -0.056671304267741016, 0.1548385675095262, -0.027050792590104122, -0.15924438176756744, 0.014649156191866965, 0.2535508164024401, -0.2772745277171814, -0.22241582059531764, -0.008934792759577913, -0.2765741805190481, -0.14775240983092977, 0.16905689527911524, -0.19685723249029408, 0.0004859941821264964, 0.08787441974435682, 0.07378919600879633, -0.10787589452479796, -0.3668475680707914, 0.4604103842660064, -0.045006892889843234, 0.2797265761001136, 0.09950985965789647, 0.10442178239745478, 0.10432841238235274, -0.01666951181507239, -0.01916695801761522, -0.15317352640227244, 0.17331774560834773, 0.2802054928916116, 0.10145470300208657, 0.09084468199345734, -0.408812612896004, -0.10188803796015519, 0.14948584115813657, 0.09046623632512106, 0.11262840318984242, -0.014078933499022436, -0.21083195004562136, 0.12733335758719633, -0.14521351431105886, -0.21595837817757682, -0.07082290080205728, 0.06376597135057373, 0.031012688538119677, -0.24537225724548423, -0.014474803111478385, 0.08308500037478503, 0.06315903150306273, -0.018169236249260364, -0.059693995853185015, -0.13083140138206223, 0.07984238645182021, -0.02604853643870522, 0.05790091451177354, 0.064050113571988, -0.20412178038829445, -0.20210995202663765, 0.33140865260715124, -0.04563793007745057, -0.20092183271402952, 0.0836656159766379, -0.11863054794770095, -0.1893947987056147, 0.17125710245266917, 0.06452486213416822, 0.25939739321268374, -0.034699682937434286, 0.15572159345729916, -0.12583187267044058, 0.020557054478715184, 0.13610394118743027, 0.020497224013251002, 0.19290546418458063, 0.09308751315499346, 0.05463860548471892, 0.17998458523808988, -0.02261091067996477, -0.1414846036613228, -0.39086954099356486, -0.16015579987076983, -0.06877077948452244, 0.1453653068822478, -0.13408415988873146, -0.1988665062473506, 0.4353278511509259, 0.008976847223777285, 0.19976999766884312, 0.14617170079020403, 0.1976751247521049, 0.06879061370116649, 0.03487443482323039, 0.01766907212090358, 0.17045029821575328, 0.23403783192637787, -0.04145392866164286, -0.17503779268352895, -0.04964078756509929, 0.27758184609614234] |
709.3824 | Visual Binaries in the Orion Nebula Cluster | We have carried out a major survey for visual binaries towards the Orion
Nebula Cluster using HST images obtained with an H-alpha filter. Among 781
likely ONC members more than 60" from theta-1 Ori C, we find 78 multiple
systems (75 binaries and 3 triples), of which 55 are new discoveries, in the
range from 0.1" to 1.5". About 9 binaries are likely line-of-sight
associations. We find a binary fraction of 8.8%+-1.1% within the limited
separation range from 67.5 to 675 AU. The field binary fraction in the same
range is a factor 1.5 higher. Within the range 150 AU to 675 AU we find that T
Tauri associations have a factor 2.2 more binaries than the ONC. The binary
separation distribution function of the ONC shows unusual structure, with a
sudden steep decrease in the number of binaries as the separation increases
beyond 0.5", corresponding to 225 AU. We have measured the ratio of binaries
wider than 0.5" to binaries closer than 0.5" as a function of distance from the
Trapezium, and find that this ratio is significantly depressed in the inner
region of the ONC. The deficit of wide binaries in the central part of the
cluster is likely due to dissolution or orbital change during their passage
through the potential well of the inner cluster region. Many of the companions
are likely to be brown dwarfs.
| astro-ph | we have carried out a major survey for visual binaries towards the orion nebula cluster using hst images obtained with an halpha filter among 781 likely onc members more than 60 from theta1 ori c we find 78 multiple systems 75 binaries and 3 triples of which 55 are new discoveries in the range from 01 to 15 about 9 binaries are likely lineofsight associations we find a binary fraction of 8811 within the limited separation range from 675 to 675 au the field binary fraction in the same range is a factor 15 higher within the range 150 au to 675 au we find that t tauri associations have a factor 22 more binaries than the onc the binary separation distribution function of the onc shows unusual structure with a sudden steep decrease in the number of binaries as the separation increases beyond 05 corresponding to 225 au we have measured the ratio of binaries wider than 05 to binaries closer than 05 as a function of distance from the trapezium and find that this ratio is significantly depressed in the inner region of the onc the deficit of wide binaries in the central part of the cluster is likely due to dissolution or orbital change during their passage through the potential well of the inner cluster region many of the companions are likely to be brown dwarfs | [['we', 'have', 'carried', 'out', 'a', 'major', 'survey', 'for', 'visual', 'binaries', 'towards', 'the', 'orion', 'nebula', 'cluster', 'using', 'hst', 'images', 'obtained', 'with', 'an', 'halpha', 'filter', 'among', '781', 'likely', 'onc', 'members', 'more', 'than', '60', 'from', 'theta1', 'ori', 'c', 'we', 'find', '78', 'multiple', 'systems', '75', 'binaries', 'and', '3', 'triples', 'of', 'which', '55', 'are', 'new', 'discoveries', 'in', 'the', 'range', 'from', '01', 'to', '15', 'about', '9', 'binaries', 'are', 'likely', 'lineofsight', 'associations', 'we', 'find', 'a', 'binary', 'fraction', 'of', '8811', 'within', 'the', 'limited', 'separation', 'range', 'from', '675', 'to', '675', 'au', 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709.3825 | Environmental Dependence of Masses and Coupling Constants | We construct a class of scalar field models coupled to matter that lead to
the dependence of masses and coupling constants on the ambient matter density.
Such models predict a deviation of couplings measured on the Earth from values
determined in low-density astrophysical environments, but do not necessarily
require the evolution of coupling constants with the redshift in the recent
cosmological past. Additional laboratory and astrophysical tests of \Delta
\alpha and \Delta(m_p/m_e) as functions of the ambient matter density are
warranted.
| hep-ph | we construct a class of scalar field models coupled to matter that lead to the dependence of masses and coupling constants on the ambient matter density such models predict a deviation of couplings measured on the earth from values determined in lowdensity astrophysical environments but do not necessarily require the evolution of coupling constants with the redshift in the recent cosmological past additional laboratory and astrophysical tests of delta alpha and deltam_pm_e as functions of the ambient matter density are warranted | [['we', 'construct', 'a', 'class', 'of', 'scalar', 'field', 'models', 'coupled', 'to', 'matter', 'that', 'lead', 'to', 'the', 'dependence', 'of', 'masses', 'and', 'coupling', 'constants', 'on', 'the', 'ambient', 'matter', 'density', 'such', 'models', 'predict', 'a', 'deviation', 'of', 'couplings', 'measured', 'on', 'the', 'earth', 'from', 'values', 'determined', 'in', 'lowdensity', 'astrophysical', 'environments', 'but', 'do', 'not', 'necessarily', 'require', 'the', 'evolution', 'of', 'coupling', 'constants', 'with', 'the', 'redshift', 'in', 'the', 'recent', 'cosmological', 'past', 'additional', 'laboratory', 'and', 'astrophysical', 'tests', 'of', 'delta', 'alpha', 'and', 'deltam_pm_e', 'as', 'functions', 'of', 'the', 'ambient', 'matter', 'density', 'are', 'warranted']] | [-0.12438561382878106, 0.1983066970598884, -0.06861455263569952, 0.0696494815289043, -0.057918198266997935, -0.10011194745311514, 0.008129361859755591, 0.3518366090138443, -0.1971391559811309, -0.3683541210601106, 0.045272907556500284, -0.2510913445061306, -0.04518804579274729, 0.18696460704231868, 0.06238830928341486, 0.03895285674243496, -0.0014403597509954126, 0.06392085474799387, -0.10605707831691688, -0.222474091371987, 0.3402465923456475, 0.06965168152237311, 0.19877133856061846, 0.046407047822140154, 0.08187316136900336, -0.08709964966983534, -0.046683572966139765, 0.01446683236863464, -0.18146890225225434, 0.048588473570998755, 0.2046192916383916, 0.09725589191075415, 0.17540921377949417, -0.4138880480546504, -0.27379912975011395, 0.1454201795422705, 0.089471949118888, 0.08659275042591616, -0.0834384259316721, -0.2750735661829822, 0.007522556756157428, -0.16965828717220574, -0.13605147237394705, -0.05895500064943917, -0.013997867376019713, 0.04948430532822386, -0.29454164296621455, 0.12431879351497628, -0.024935846216976643, 0.011523269955068827, -0.10310507442627567, -0.1426270647571073, -0.019205500284442678, 0.07664760472689522, 0.10650431527756155, 0.015055178379407152, 0.1920937951945234, -0.19282096190727316, -0.030781676755577792, 0.423009797942359, -0.128645153981779, -0.17912807873908604, 0.22624429115094244, -0.20029646573821083, -0.15841729384846986, 0.09517275760881602, 0.22208859955426305, 0.10615807292051613, -0.10161183482268825, 0.15212197997389013, 0.008410708289011382, 0.19070900263031945, 0.03612245035474189, 0.061835253651952374, 0.27677227042149755, 0.0898683463499765, 0.006004971885704436, -0.011893132493423764, -0.06124809759785421, -0.07160709071322344, -0.32482472052797673, -0.10260515491245314, -0.14385370718082413, 0.10456534563581954, -0.11691718855236104, -0.18258800901239738, 0.3465159920393489, 0.16423052471363916, 0.20552127693663352, 0.038264812447596344, 0.23876019663875922, 0.056780197027546817, 0.07905802263412624, 0.05694739748723805, 0.3366920094238594, 0.17344722220441328, 0.06732822470366955, -0.21428150635038037, 0.0766666543102474, -0.003782834898447618] |
709.3826 | Research Paper on Transaction-Oriented Simulation In Ad Hoc Grids | This paper analyses the requirements of performing parallel
transaction-oriented simulations with a special focus on the space-parallel
approach and discrete event simulation synchronisation algorithms that are
suitable for transaction-oriented simulation and the target environment of Ad
Hoc Grids. To demonstrate the findings a Java-based parallel
transaction-oriented simulator for the simulation language GPSS/H is
implemented on the basis of the most promising Shock Resistant Time Warp
synchronisation algorithm and using the Grid framework ProActive. The
validation of this parallel simulator shows that the Shock Resistant Time Warp
algorithm can successfully reduce the number of rolled back Transaction moves
but it also reveals circumstances in which the Shock Resistant Time Warp
algorithm can be outperformed by the normal Time Warp algorithm. The conclusion
of this paper suggests possible improvements to the Shock Resistant Time Warp
algorithm to avoid such problems.
| cs.DC | this paper analyses the requirements of performing parallel transactionoriented simulations with a special focus on the spaceparallel approach and discrete event simulation synchronisation algorithms that are suitable for transactionoriented simulation and the target environment of ad hoc grids to demonstrate the findings a javabased parallel transactionoriented simulator for the simulation language gpssh is implemented on the basis of the most promising shock resistant time warp synchronisation algorithm and using the grid framework proactive the validation of this parallel simulator shows that the shock resistant time warp algorithm can successfully reduce the number of rolled back transaction moves but it also reveals circumstances in which the shock resistant time warp algorithm can be outperformed by the normal time warp algorithm the conclusion of this paper suggests possible improvements to the shock resistant time warp algorithm to avoid such problems | [['this', 'paper', 'analyses', 'the', 'requirements', 'of', 'performing', 'parallel', 'transactionoriented', 'simulations', 'with', 'a', 'special', 'focus', 'on', 'the', 'spaceparallel', 'approach', 'and', 'discrete', 'event', 'simulation', 'synchronisation', 'algorithms', 'that', 'are', 'suitable', 'for', 'transactionoriented', 'simulation', 'and', 'the', 'target', 'environment', 'of', 'ad', 'hoc', 'grids', 'to', 'demonstrate', 'the', 'findings', 'a', 'javabased', 'parallel', 'transactionoriented', 'simulator', 'for', 'the', 'simulation', 'language', 'gpssh', 'is', 'implemented', 'on', 'the', 'basis', 'of', 'the', 'most', 'promising', 'shock', 'resistant', 'time', 'warp', 'synchronisation', 'algorithm', 'and', 'using', 'the', 'grid', 'framework', 'proactive', 'the', 'validation', 'of', 'this', 'parallel', 'simulator', 'shows', 'that', 'the', 'shock', 'resistant', 'time', 'warp', 'algorithm', 'can', 'successfully', 'reduce', 'the', 'number', 'of', 'rolled', 'back', 'transaction', 'moves', 'but', 'it', 'also', 'reveals', 'circumstances', 'in', 'which', 'the', 'shock', 'resistant', 'time', 'warp', 'algorithm', 'can', 'be', 'outperformed', 'by', 'the', 'normal', 'time', 'warp', 'algorithm', 'the', 'conclusion', 'of', 'this', 'paper', 'suggests', 'possible', 'improvements', 'to', 'the', 'shock', 'resistant', 'time', 'warp', 'algorithm', 'to', 'avoid', 'such', 'problems']] | [-0.15133015323816085, 0.013037234947534048, -0.09997401446661483, 0.05953527579677162, -0.08948130708826828, -0.18467895031981443, 0.056790378310099025, 0.4137795976206769, -0.24854588267702718, -0.3217427977122856, 0.10391125758603406, -0.16767524790705393, -0.1800089558368943, 0.2394329266997401, -0.0516046157147545, 0.0833762059520155, 0.12559327157554181, -0.03518836585002659, -0.008955096519835986, -0.2737826366303828, 0.24432830326938934, 0.1392640621285804, 0.30117227096300925, 0.006765342055799535, 0.08290433608349004, -0.053509986986589694, -0.05099611970711581, 0.025058619535263, -0.05114882752304832, 0.04022346991139811, 0.22705514491263804, 0.19357035141676174, 0.30260414390885915, -0.4956476989263383, -0.1979255719538642, 0.043974393003205534, 0.16283486027229768, 0.10581801655123615, -0.04496816922502633, -0.27485046956185116, 0.08227779192469308, -0.17832212533502684, -0.11400197553754288, -0.052177208955025804, -0.009503762115364092, 0.018307673680701422, -0.26793037354181365, 0.03281398417141771, 0.023311072297693386, 0.0034854908568961343, -0.02279859632729505, -0.0527132709347473, 0.009685059703451439, 0.0786599138331851, 0.0693373257875524, 0.07832281880019518, 0.1708875447857945, -0.055884675488188644, -0.15346991217416459, 0.4076279292195818, -0.017859745000822158, -0.18809124619366913, 0.1768897818911304, -0.05370493085347932, -0.13557076457731534, 0.14340381175160652, 0.20452790234890514, 0.1265637476717795, -0.13319756378195363, 0.04143061983631924, -0.009286928192005377, 0.1492486214605126, 0.052869483930514244, -0.06178856898017608, 0.12842662907103553, 0.21431736280312286, 0.05231653332003277, 0.1525498407486704, -0.09113935750219156, -0.122257406266328, -0.26599841842591, -0.16321067864850272, -0.1429144475340544, -0.03720233649147987, -0.1371918591789869, -0.15879451985858437, 0.3825032065748271, 0.2182965941088152, 0.1232955838675971, 0.07514373487096117, 0.3816670282288407, 0.03280198239945691, 0.0867530919856181, 0.15338509295298888, 0.17932780396610068, 0.006100688965601955, 0.13867181788341407, -0.24170868021578792, 0.13722272397250102, 0.01260181663585079] |
709.3827 | On Successive Refinement of Diversity for Fading ISI Channels | Rate and diversity impose a fundamental tradeoff in communications. This
tradeoff was investigated for Intersymbol Interference (ISI) channels in [4]. A
different point of view was explored in [1] where high-rate codes were designed
so that they have a high-diversity code embedded within them. Such diversity
embedded codes were investigated for flat fading channels and in this paper we
explore its application to ISI channels. In particular, we investigate the rate
tuples achievable for diversity embedded codes for scalar ISI channels through
particular coding strategies. The main result of this paper is that the
diversity multiplexing tradeoff for fading ISI channels is indeed successively
refinable. This implies that for fading single input single output (SISO) ISI
channels one can embed a high diversity code within a high rate code without
any performance loss (asymptotically). This is related to a deterministic
structural observation about the asymptotic behavior of frequency response of
channel with respect to fading strength of time domain taps.
| cs.IT math.IT | rate and diversity impose a fundamental tradeoff in communications this tradeoff was investigated for intersymbol interference isi channels in 4 a different point of view was explored in 1 where highrate codes were designed so that they have a highdiversity code embedded within them such diversity embedded codes were investigated for flat fading channels and in this paper we explore its application to isi channels in particular we investigate the rate tuples achievable for diversity embedded codes for scalar isi channels through particular coding strategies the main result of this paper is that the diversity multiplexing tradeoff for fading isi channels is indeed successively refinable this implies that for fading single input single output siso isi channels one can embed a high diversity code within a high rate code without any performance loss asymptotically this is related to a deterministic structural observation about the asymptotic behavior of frequency response of channel with respect to fading strength of time domain taps | [['rate', 'and', 'diversity', 'impose', 'a', 'fundamental', 'tradeoff', 'in', 'communications', 'this', 'tradeoff', 'was', 'investigated', 'for', 'intersymbol', 'interference', 'isi', 'channels', 'in', '4', 'a', 'different', 'point', 'of', 'view', 'was', 'explored', 'in', '1', 'where', 'highrate', 'codes', 'were', 'designed', 'so', 'that', 'they', 'have', 'a', 'highdiversity', 'code', 'embedded', 'within', 'them', 'such', 'diversity', 'embedded', 'codes', 'were', 'investigated', 'for', 'flat', 'fading', 'channels', 'and', 'in', 'this', 'paper', 'we', 'explore', 'its', 'application', 'to', 'isi', 'channels', 'in', 'particular', 'we', 'investigate', 'the', 'rate', 'tuples', 'achievable', 'for', 'diversity', 'embedded', 'codes', 'for', 'scalar', 'isi', 'channels', 'through', 'particular', 'coding', 'strategies', 'the', 'main', 'result', 'of', 'this', 'paper', 'is', 'that', 'the', 'diversity', 'multiplexing', 'tradeoff', 'for', 'fading', 'isi', 'channels', 'is', 'indeed', 'successively', 'refinable', 'this', 'implies', 'that', 'for', 'fading', 'single', 'input', 'single', 'output', 'siso', 'isi', 'channels', 'one', 'can', 'embed', 'a', 'high', 'diversity', 'code', 'within', 'a', 'high', 'rate', 'code', 'without', 'any', 'performance', 'loss', 'asymptotically', 'this', 'is', 'related', 'to', 'a', 'deterministic', 'structural', 'observation', 'about', 'the', 'asymptotic', 'behavior', 'of', 'frequency', 'response', 'of', 'channel', 'with', 'respect', 'to', 'fading', 'strength', 'of', 'time', 'domain', 'taps']] | [-0.23846404331416124, 0.08692316393426154, -0.03804683623602614, 0.08688935077661882, -0.009149827671353705, -0.23680886194633785, 0.09684140911122086, 0.4324189565726556, -0.29516223042155615, -0.24957313451559457, 0.0960745948679687, -0.2032075160968816, -0.18431482851156034, 0.14326131952839205, -0.15393951328587718, 0.06521311104261258, 0.05242514004639816, 0.02192548745078966, -0.0657541755870625, -0.28752768529957395, 0.3047229241048626, 0.1505744654380578, 0.3177516439645842, 0.011783206439577042, 0.0718303262401605, 0.008035812754133075, -0.039567365593393335, -0.06717153307545232, -0.15045696875818065, 0.03127053840726148, 0.3318425923353061, 0.18757156968858907, 0.25327200228202856, -0.3338931305537699, -0.31889543042634616, 0.0671906404022593, 0.20416141460154905, 0.09284334614349063, -0.07375677138988976, -0.22304792246141006, 0.1306035420129774, -0.20773107223503756, 0.010963122660905355, 0.0688762978388695, -0.029287399328313767, 0.026267511151672807, -0.34384634618181736, 0.025231261568842457, 0.04869519584462978, 0.04777887744712643, -0.009792471216860577, -0.09638891323993448, 0.06502678086399101, 0.18735729333711787, 0.0037626443488989027, 0.008911252790130674, 0.05128780982340686, -0.08246203603848698, -0.09857881375428405, 0.3153394879846019, -0.0355959934706334, -0.2441171013051644, 0.17042505299796176, -0.13087858496583066, -0.05511866581509821, 0.20100998026900924, 0.27008798887400187, 0.03378590127686039, -0.2038270698125416, 0.06266974439058685, 0.012044366743066349, 0.21786175000252114, 0.14773648426344152, 0.17840500314850943, 0.13966155266971328, 0.1615987087308895, 0.022497948249292677, 0.19561277305765543, -0.10487825052405242, -0.09475828686481691, -0.24887059564352967, -0.14441685436941043, -0.1654932593839476, 0.0036866344249574467, -0.08922631723744416, -0.10307743603771087, 0.36256570013356393, 0.11946091851859819, 0.09972855228115804, 0.10168485043977853, 0.3339443520286295, 0.05262523660785519, 0.06512599108100403, 0.12798106467234902, 0.1898773693952535, 0.14625568192859645, 0.08130947828467469, -0.1840633995452663, 0.08980122926441254, -0.05997024314128794] |
709.3828 | Nonlinear growth of firehose and mirror fluctuations in turbulent
galaxy-cluster plasmas | In turbulent high-beta astrophysical plasmas (exemplified by the galaxy
cluster plasmas), pressure-anisotropy-driven firehose and mirror fluctuations
grow nonlinearly to large amplitudes, dB/B ~ 1, on a timescale comparable to
the turnover time of the turbulent motions. The principle of their nonlinear
evolution is to generate secularly growing small-scale magnetic fluctuations
that on average cancel the temporal change in the large-scale magnetic field
responsible for the pressure anisotropies. The presence of small-scale magnetic
fluctuations may dramatically affect the transport properties and, thereby, the
large-scale dynamics of the high-beta astrophysical plasmas.
| astro-ph physics.plasm-ph physics.space-ph | in turbulent highbeta astrophysical plasmas exemplified by the galaxy cluster plasmas pressureanisotropydriven firehose and mirror fluctuations grow nonlinearly to large amplitudes dbb 1 on a timescale comparable to the turnover time of the turbulent motions the principle of their nonlinear evolution is to generate secularly growing smallscale magnetic fluctuations that on average cancel the temporal change in the largescale magnetic field responsible for the pressure anisotropies the presence of smallscale magnetic fluctuations may dramatically affect the transport properties and thereby the largescale dynamics of the highbeta astrophysical plasmas | [['in', 'turbulent', 'highbeta', 'astrophysical', 'plasmas', 'exemplified', 'by', 'the', 'galaxy', 'cluster', 'plasmas', 'pressureanisotropydriven', 'firehose', 'and', 'mirror', 'fluctuations', 'grow', 'nonlinearly', 'to', 'large', 'amplitudes', 'dbb', '1', 'on', 'a', 'timescale', 'comparable', 'to', 'the', 'turnover', 'time', 'of', 'the', 'turbulent', 'motions', 'the', 'principle', 'of', 'their', 'nonlinear', 'evolution', 'is', 'to', 'generate', 'secularly', 'growing', 'smallscale', 'magnetic', 'fluctuations', 'that', 'on', 'average', 'cancel', 'the', 'temporal', 'change', 'in', 'the', 'largescale', 'magnetic', 'field', 'responsible', 'for', 'the', 'pressure', 'anisotropies', 'the', 'presence', 'of', 'smallscale', 'magnetic', 'fluctuations', 'may', 'dramatically', 'affect', 'the', 'transport', 'properties', 'and', 'thereby', 'the', 'largescale', 'dynamics', 'of', 'the', 'highbeta', 'astrophysical', 'plasmas']] | [-0.20052806924584068, 0.2971707651158795, -0.0470341682957951, 0.11124446414363444, -0.05230480094905943, 0.006297052081208676, -0.0861341159272177, 0.2935209548526142, -0.28697304941967805, -0.3254046027696776, 0.04504536297331056, -0.2070046787769322, -0.0506267171228749, 0.2305478416859511, 0.04446267972657965, 0.021876657106490296, 0.02794538754758171, -0.06446125699122521, 0.04444639431974131, -0.1766105442392555, 0.29992313884114, 0.1694043722977354, 0.3005866488357159, 0.005827322046653452, 0.05812146003485064, -0.0976354544823566, -0.03804076734708029, 0.04141012183390558, -0.11155345192781335, -0.0026107831350104375, 0.17115976918615738, 0.0059883073607290335, 0.24566332614895972, -0.5123435430101712, -0.2726029251194136, 0.03449404053390026, 0.1992459853751246, 0.10783809206821554, -0.022432701696578242, -0.2626438705853864, 0.0404493340624454, -0.1044789111580361, -0.1508528636556796, -0.05187076255044138, 0.03407971465309278, 0.07539010682309956, -0.2776651804822243, 0.17531603791708636, 0.06871931435307488, 0.039656871696934104, -0.09836226391119206, -0.019661488000896166, -0.0861280170290477, 0.07125238548244604, 0.10641392852465453, 0.034948253305628896, 0.2908294178460809, -0.194712538700101, -0.04353695463346825, 0.3926943780997218, -0.06207307387111624, -0.11807879744182256, 0.20257291429549118, -0.2356906120443124, -0.13322808291890065, 0.20046022072413258, 0.22363318657417866, 0.0705557110274888, -0.06991326183461669, 0.03138517892512027, 0.025970006282229653, 0.1414399155275367, 0.04181362534555691, 0.03902801029157259, 0.29140900722069835, 0.13272017139057757, 0.02642762707017193, 0.0896762596464462, -0.14498978181720965, -0.09489530156662856, -0.23727667255496437, -0.05655404947571118, -0.10985401478088037, 0.05810733325250277, -0.13111111464009315, -0.2058975451191972, 0.36698313476517797, 0.20542159902106505, 0.13959299933842637, -0.04585816655625505, 0.30172784556634724, 0.10281481530348008, 0.058175406712424854, 0.13525812364373865, 0.3053918057544665, 0.23459415726723487, 0.18435390549711883, -0.34945764105280186, 0.05219430572205139, -0.013901790426726538] |
709.3829 | Thermal expansion, heat capacity and magnetostriction of RAl$_3$ (R =
Tm, Yb, Lu) single crystals | We present thermal expansion and longitudinal magnetostriction data for cubic
RAl3 (R = Tm, Yb, Lu) single crystals. The thermal expansion coefficient for
YbAl3 is consistent with an intermediate valence of the Yb ion, whereas the
data for TmAl3 show crystal electric field contributions and have strong
magnetic field dependencies. de Haas-van Alphen-like oscillations were observed
in the magnetostriction data of YbAl3 and LuAl3, several new extreme orbits
were measured and their effective masses were estimated. Zero and 140 kOe
specific heat data taken on both LuAl3 and TmAl3 for T < 200 K allow for the
determination of a CEF splitting scheme for TmAl3.
| cond-mat.other | we present thermal expansion and longitudinal magnetostriction data for cubic ral3 r tm yb lu single crystals the thermal expansion coefficient for ybal3 is consistent with an intermediate valence of the yb ion whereas the data for tmal3 show crystal electric field contributions and have strong magnetic field dependencies de haasvan alphenlike oscillations were observed in the magnetostriction data of ybal3 and lual3 several new extreme orbits were measured and their effective masses were estimated zero and 140 koe specific heat data taken on both lual3 and tmal3 for t 200 k allow for the determination of a cef splitting scheme for tmal3 | [['we', 'present', 'thermal', 'expansion', 'and', 'longitudinal', 'magnetostriction', 'data', 'for', 'cubic', 'ral3', 'r', 'tm', 'yb', 'lu', 'single', 'crystals', 'the', 'thermal', 'expansion', 'coefficient', 'for', 'ybal3', 'is', 'consistent', 'with', 'an', 'intermediate', 'valence', 'of', 'the', 'yb', 'ion', 'whereas', 'the', 'data', 'for', 'tmal3', 'show', 'crystal', 'electric', 'field', 'contributions', 'and', 'have', 'strong', 'magnetic', 'field', 'dependencies', 'de', 'haasvan', 'alphenlike', 'oscillations', 'were', 'observed', 'in', 'the', 'magnetostriction', 'data', 'of', 'ybal3', 'and', 'lual3', 'several', 'new', 'extreme', 'orbits', 'were', 'measured', 'and', 'their', 'effective', 'masses', 'were', 'estimated', 'zero', 'and', '140', 'koe', 'specific', 'heat', 'data', 'taken', 'on', 'both', 'lual3', 'and', 'tmal3', 'for', 't', '200', 'k', 'allow', 'for', 'the', 'determination', 'of', 'a', 'cef', 'splitting', 'scheme', 'for', 'tmal3']] | [-0.15040045664316476, 0.2174240232439714, -0.02668620072389868, 0.03433280203590226, -0.08284860193691772, -0.1294756929220801, 0.07127088414636826, 0.38208698048585593, -0.2168600947379765, -0.31743371521470826, 0.043587801762800096, -0.3408041296131683, 0.03210609071332999, 0.21713802446093824, 0.08778792591483305, 0.017412966592331425, 0.010494452059231323, 0.03989716945098468, -0.05045952173796567, -0.20258315537722235, 0.24030879877902794, 0.06031454429783002, 0.3171656221772234, 0.06667563126356614, 0.08213610883632844, 0.01625399077499304, 0.0363075405857855, 0.03018077957029972, -0.14274888063885033, 0.04343745088665699, 0.24244222203928112, -0.04304951878330397, 0.1545361122351629, -0.38379658785921456, -0.17036335326430171, -0.003512084789837551, 0.08690518616802162, 0.12246407826214728, -0.06755528510242437, -0.23443483374072144, 0.06100989630765686, -0.11044461065150722, -0.08204204070786333, -0.18184378063023993, 0.005370252833918038, -0.005240983320306046, -0.32884354428435214, 0.1419887454516485, 0.03663265442645008, 0.1769685371769498, -0.13978556480559737, -0.22374641528174358, -0.04831899992102696, 0.03771174724467776, 0.04136737872319616, 0.039701919106653695, 0.12972418247543352, -0.04057571330963813, -0.0679457599363017, 0.35010109259511785, -0.13529120830847233, -0.03239162248850922, 0.09639775816520507, -0.21655687224119902, -0.1070232052365412, 0.17301197449742545, 0.12322659577852153, 0.10891426492493007, -0.15132886353842537, 0.09858237514672143, 0.0556741193209709, 0.1337478357889984, 0.10484066943995504, 0.013503389583543093, 0.19569310868591672, 0.07911167936187914, -0.04614240454857924, 0.08993272085493605, -0.17493872807568145, 0.005508419464934956, -0.2200526696808561, -0.15903411193449765, -0.14157438574998518, 0.03232127142543293, -0.15006850175283182, -0.16147672656730683, 0.34751344028509173, 0.09278026071129863, 0.1968447478403422, -0.04444913809056008, 0.21840112932929487, 0.07765473108362368, 0.07836660172442218, 0.058431379238350525, 0.26287143617266356, 0.20447224472188438, 0.19906534925761699, -0.31578114465575174, 0.020546673768849083, -0.022193997087088798] |
709.383 | Observations of Gamma-ray Bursts with VERITAS and Whipple | Many authors have predicted very-high-energy (VHE; E > 100 GeV) emission from
gamma-ray bursts (GRBs) both during the prompt phase and during the
multi-component afterglow. To date, however, there has been no definitive
detection of such emission. Recently, the Swift Satellite made the exciting
discovery that almost 50% of GRBs are accompanied by one or more X-ray flares,
which are found to occur from several seconds to many hours after the prompt
emission. The discovery of this phenomenon and the many predictions that VHE
emission should accompany these flares increases the already strong motivation
for making immediate follow-up VHE observations of GRBs. Observations of GRBs
have high priority at VERITAS, preempting any observations that may be in
progress. GRB alerts are received from the GCN via a socket connection. This is
interfaced to the VERITAS Tracking Software to minimize the time between a
notification arriving and the telescope being slewed to the GRB. We report here
on GRB observations with VERITAS and with the Whipple Telescope from 2005
through 2007.
| astro-ph | many authors have predicted veryhighenergy vhe e 100 gev emission from gammaray bursts grbs both during the prompt phase and during the multicomponent afterglow to date however there has been no definitive detection of such emission recently the swift satellite made the exciting discovery that almost 50 of grbs are accompanied by one or more xray flares which are found to occur from several seconds to many hours after the prompt emission the discovery of this phenomenon and the many predictions that vhe emission should accompany these flares increases the already strong motivation for making immediate followup vhe observations of grbs observations of grbs have high priority at veritas preempting any observations that may be in progress grb alerts are received from the gcn via a socket connection this is interfaced to the veritas tracking software to minimize the time between a notification arriving and the telescope being slewed to the grb we report here on grb observations with veritas and with the whipple telescope from 2005 through 2007 | [['many', 'authors', 'have', 'predicted', 'veryhighenergy', 'vhe', 'e', '100', 'gev', 'emission', 'from', 'gammaray', 'bursts', 'grbs', 'both', 'during', 'the', 'prompt', 'phase', 'and', 'during', 'the', 'multicomponent', 'afterglow', 'to', 'date', 'however', 'there', 'has', 'been', 'no', 'definitive', 'detection', 'of', 'such', 'emission', 'recently', 'the', 'swift', 'satellite', 'made', 'the', 'exciting', 'discovery', 'that', 'almost', '50', 'of', 'grbs', 'are', 'accompanied', 'by', 'one', 'or', 'more', 'xray', 'flares', 'which', 'are', 'found', 'to', 'occur', 'from', 'several', 'seconds', 'to', 'many', 'hours', 'after', 'the', 'prompt', 'emission', 'the', 'discovery', 'of', 'this', 'phenomenon', 'and', 'the', 'many', 'predictions', 'that', 'vhe', 'emission', 'should', 'accompany', 'these', 'flares', 'increases', 'the', 'already', 'strong', 'motivation', 'for', 'making', 'immediate', 'followup', 'vhe', 'observations', 'of', 'grbs', 'observations', 'of', 'grbs', 'have', 'high', 'priority', 'at', 'veritas', 'preempting', 'any', 'observations', 'that', 'may', 'be', 'in', 'progress', 'grb', 'alerts', 'are', 'received', 'from', 'the', 'gcn', 'via', 'a', 'socket', 'connection', 'this', 'is', 'interfaced', 'to', 'the', 'veritas', 'tracking', 'software', 'to', 'minimize', 'the', 'time', 'between', 'a', 'notification', 'arriving', 'and', 'the', 'telescope', 'being', 'slewed', 'to', 'the', 'grb', 'we', 'report', 'here', 'on', 'grb', 'observations', 'with', 'veritas', 'and', 'with', 'the', 'whipple', 'telescope', 'from', '2005', 'through', '2007']] | [-0.05660937583045042, 0.18018529900851157, -0.04353072143231447, 0.12201012247972212, -0.17974563753067035, -0.12596828438969848, 0.05947175957042085, 0.5064398010410148, -0.1573437779408896, -0.3896823892006155, 0.07057686104816688, -0.3669508916171565, -0.03469890107665233, 0.2725583857721677, -0.007831281756420108, 0.011030885104376536, 0.17459804584415486, -0.08870757781189574, -0.017539309476882484, -0.27119200058369597, 0.17146370950232112, 0.18243993261981253, 0.18410173165711805, 0.03787007243179622, 0.07639135776456864, -0.05463886044550268, -0.06726276305725952, -0.09772850967721171, -0.06707306293223553, 0.020449688456974615, 0.28704943567426244, 0.16162208022222374, 0.22620881144949317, -0.3944381005130708, -0.2710408900407027, 0.14037314419959776, 0.0925108168230078, -0.03224959924401021, -0.04559113674622495, -0.3774268385890827, 0.04213146397932818, -0.22147146609099305, -0.11606881489078982, 0.08960923035050461, 0.05867566321783605, 0.054802369080434316, -0.13021908784298963, 0.023963577728498088, -0.02662410678000316, 0.05545868964165934, -0.09028308241512384, 0.010444253655536287, -0.0013365133475380007, 0.06001599798304134, 0.1387287707566752, 0.0850969444741302, 0.07426292419116035, -0.12249232376181692, -0.15868882264545153, 0.3865386833541492, -0.008433035503213223, 0.09731490645371997, 0.2265197649009501, -0.19364925799891353, -0.27047691058685047, 0.2413624907298201, 0.13182753900661182, 0.059954204864024335, -0.17284475578568304, -0.01660697428184457, 0.016776707105527318, 0.1818733943134447, 0.05604070282579791, 0.06538471157632261, 0.280449729952851, 0.15358976226302756, 0.014040899977222989, 0.09193887330588923, -0.24914744302779215, 0.027005710499223387, -0.2917410708859166, -0.10423259319566719, -0.18053971253440182, 0.15770879085382347, -0.016758702245896363, -0.08314639880437646, 0.4276974534219098, 0.12562654668137366, 0.19398365712162527, 0.025527368063388182, 0.2758299074874166, 0.06077330830898246, 0.0851356948604642, 0.11717721407533177, 0.39755210134107066, 0.05940218404425892, 0.15417740657683132, -0.11491238893720614, 0.13169096900734323, -0.02881483630877892] |
709.3831 | Noncommutative Point Sources | We construct a perturbative solution to classical noncommutative gauge theory
on ${\mathbb{R}}^{3}$ minus the origin using the Groenewald-Moyal star product.
The result describes a noncommutative point charge. Applying it to the quantum
mechanics of the noncommutative hydrogen atom gives shifts in the $1S$
hyperfine splitting which are first order in the noncommutativity parameter.
| hep-th hep-ph | we construct a perturbative solution to classical noncommutative gauge theory on mathbbr3 minus the origin using the groenewaldmoyal star product the result describes a noncommutative point charge applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the 1s hyperfine splitting which are first order in the noncommutativity parameter | [['we', 'construct', 'a', 'perturbative', 'solution', 'to', 'classical', 'noncommutative', 'gauge', 'theory', 'on', 'mathbbr3', 'minus', 'the', 'origin', 'using', 'the', 'groenewaldmoyal', 'star', 'product', 'the', 'result', 'describes', 'a', 'noncommutative', 'point', 'charge', 'applying', 'it', 'to', 'the', 'quantum', 'mechanics', 'of', 'the', 'noncommutative', 'hydrogen', 'atom', 'gives', 'shifts', 'in', 'the', '1s', 'hyperfine', 'splitting', 'which', 'are', 'first', 'order', 'in', 'the', 'noncommutativity', 'parameter']] | [-0.12654266681276122, 0.14217918485684214, -0.07613372677972294, 0.09324543021689609, -0.0533538300473735, -0.09818137435347966, 0.03491327031471608, 0.2958063199272696, -0.2591176380948076, -0.23359014417202967, -0.007742271954105851, -0.291081123967778, -0.07713374720429475, 0.0947820052574828, -0.0615176750733605, 0.0038063024117980363, -0.01672379887785833, 0.06698121431828388, -0.13680667574253846, -0.21942125053698514, 0.3682161814287164, 0.023253518172082894, 0.2047444384738381, 0.052337573463413514, 0.09887546427407355, 0.013609632396112846, 0.005904285694068333, -0.04443863737133314, -0.1777500850148499, 0.10398971798054364, 0.23451687266856855, 0.029055155246992998, 0.19964672107565798, -0.38148477807078723, -0.1498786366702813, 0.07780076151291998, 0.09691950085766192, 0.16757683294939474, -0.01481559040806836, -0.3079354460790472, -0.010016807759145522, -0.19953252421692014, -0.16506991077891006, -0.0803906372133291, -0.012932932531496263, -0.06158868866568466, -0.23129453098858302, 0.04833700785518817, 0.050554414341261365, 0.007068774364185783, -0.0731921021931998, -0.05047600413233323, 0.008513718123002997, 0.07010428473915693, 0.03064851910051591, 0.1101954312257047, 0.15116283777257744, -0.02505302188461119, -0.14724472328528482, 0.43075456013375857, -0.07947894487363058, -0.21260062306855787, 0.07395971432890532, -0.20323966317019374, -0.1625433501541474, 0.10868242281084915, 0.04733648253956212, 0.13133938939152462, -0.0542734072736974, 0.20584842648778884, -0.027122098987676063, 0.14826067366894283, 0.12005026493977122, 0.042337259787292976, 0.19716955934001026, 0.05282977472041857, 0.06411458202198429, 0.1277626992888608, -0.06542139999867189, -0.23803583948152526, -0.374644611452548, -0.16482593382726302, -0.18051348551053484, 0.19342212099581957, -0.1300489627141154, -0.18820831207734234, 0.36934532945589077, 0.09545443288186777, 0.17200024949632725, -0.06109972234665996, 0.2781115245987784, 0.1811806722456273, 0.033566808257743996, -0.02558778352894873, 0.2379639395995874, 0.25534563925872855, 0.0781651316122767, -0.24434716071722642, -0.060773891634044216, 0.20470037455406953] |
709.3832 | Many-body Electronic Structure of Metallic alpha-Uranium | We present results for the electronic structure of alpha uranium using a
recently developed quasiparticle self-consistent GW method (QSGW). This is the
first time that the f-orbital electron-electron interactions in an actinide has
been treated by a first-principles method beyond the level of the generalized
gradient approximation (GGA) to the local density approximation (LDA). We show
that the QSGW approximation predicts an f-level shift upwards of about 0.5 eV
with respect to the other metallic s-d states and that there is a significant
f-band narrowing when compared to LDA band-structure results. Nonetheless,
because of the overall low f-electron occupation number in uranium,
ground-state properties and the occupied band structure around the Fermi energy
is not significantly affected. The correlations predominate in the unoccupied
part of the f states. This provides the first formal justification for the
success of LDA and GGA calculations in describing the ground-state properties
of this material.
| cond-mat.str-el | we present results for the electronic structure of alpha uranium using a recently developed quasiparticle selfconsistent gw method qsgw this is the first time that the forbital electronelectron interactions in an actinide has been treated by a firstprinciples method beyond the level of the generalized gradient approximation gga to the local density approximation lda we show that the qsgw approximation predicts an flevel shift upwards of about 05 ev with respect to the other metallic sd states and that there is a significant fband narrowing when compared to lda bandstructure results nonetheless because of the overall low felectron occupation number in uranium groundstate properties and the occupied band structure around the fermi energy is not significantly affected the correlations predominate in the unoccupied part of the f states this provides the first formal justification for the success of lda and gga calculations in describing the groundstate properties of this material | [['we', 'present', 'results', 'for', 'the', 'electronic', 'structure', 'of', 'alpha', 'uranium', 'using', 'a', 'recently', 'developed', 'quasiparticle', 'selfconsistent', 'gw', 'method', 'qsgw', 'this', 'is', 'the', 'first', 'time', 'that', 'the', 'forbital', 'electronelectron', 'interactions', 'in', 'an', 'actinide', 'has', 'been', 'treated', 'by', 'a', 'firstprinciples', 'method', 'beyond', 'the', 'level', 'of', 'the', 'generalized', 'gradient', 'approximation', 'gga', 'to', 'the', 'local', 'density', 'approximation', 'lda', 'we', 'show', 'that', 'the', 'qsgw', 'approximation', 'predicts', 'an', 'flevel', 'shift', 'upwards', 'of', 'about', '05', 'ev', 'with', 'respect', 'to', 'the', 'other', 'metallic', 'sd', 'states', 'and', 'that', 'there', 'is', 'a', 'significant', 'fband', 'narrowing', 'when', 'compared', 'to', 'lda', 'bandstructure', 'results', 'nonetheless', 'because', 'of', 'the', 'overall', 'low', 'felectron', 'occupation', 'number', 'in', 'uranium', 'groundstate', 'properties', 'and', 'the', 'occupied', 'band', 'structure', 'around', 'the', 'fermi', 'energy', 'is', 'not', 'significantly', 'affected', 'the', 'correlations', 'predominate', 'in', 'the', 'unoccupied', 'part', 'of', 'the', 'f', 'states', 'this', 'provides', 'the', 'first', 'formal', 'justification', 'for', 'the', 'success', 'of', 'lda', 'and', 'gga', 'calculations', 'in', 'describing', 'the', 'groundstate', 'properties', 'of', 'this', 'material']] | [-0.09926495139176647, 0.08181298469678344, -0.08425280146339598, 0.112032241326912, 0.010907637979835271, -0.07584577199382087, 0.13039064461831004, 0.3758309044316411, -0.265197790445139, -0.2929880527643642, -0.0722031890824049, -0.34728546923647324, -0.1178185833680133, 0.11503166490700095, 0.05247689580234389, 0.012286024113661066, 0.026805164277126703, -0.007385067675883572, -0.15931808872846887, -0.2055627222576489, 0.25750751769791047, 0.11490806253238892, 0.27695508836147686, 0.11454651898083587, -0.002862997477253278, 0.014931028713472188, 0.09356886501113573, 0.031577951312065124, -0.11430106433025988, 0.12073868939264988, 0.27678117835118127, -0.02118411078583449, 0.3112088082637638, -0.4472960565735896, -0.21840344007282209, 0.0013674218611170847, 0.1016987962834537, 0.14942287403469284, -0.0538906639519458, -0.27459110230828326, 0.06116480886004865, -0.2100626225893696, -0.14565822115167976, -0.13641451157008608, -0.02249065973776548, 0.02436441434547305, -0.19707749215963608, 0.14343512915074824, 0.04315067061999192, 0.032952669356939926, -0.13533983464973667, -0.19425274714827537, -0.05188990186977511, 0.04224490279254193, 0.046850053035886956, 0.056922829428416054, 0.10416184093182286, -0.09566499297662327, -0.058930607525010906, 0.4320205412184199, -0.09169909958106776, -0.12184666449048867, 0.13126219308314224, -0.16154511141125114, -0.13759059434213364, 0.18014513775085408, 0.08040127271553502, 0.08523049130725364, -0.11519293411295317, 0.12725776090655322, -0.013312060766426536, 0.20473882398257653, 0.005894110047568878, 0.05170191351013879, 0.14722154815797694, 0.1710925771963472, 0.061362653750305376, 0.058310956235121315, -0.13978826235358913, -0.0967746156314388, -0.22848537988960743, -0.13486434441059827, -0.24749919924885033, 0.01611889686755603, -0.03622304147080285, -0.21551865632335346, 0.45346469659979144, 0.12763408582036695, 0.14553086358432968, -0.01889636252075434, 0.2580337945185602, 0.1539949312674192, 0.049960784654443466, 0.08703394100496856, 0.28089938041754065, 0.15093983294287075, 0.035867115513732034, -0.2649772857471059, 0.09741153974086046, 0.03807369043584913] |
709.3833 | The Influence of Magnetic Field Geometry on the Evolution of Black Hole
Accretion Flows: Similar Disks, Drastically Different Jets | Because the magneto-rotational instability is capable of exponentially
amplifying weak preexisting magnetic fields, it might be hoped that the
character of the magnetic field in accretion disks is independent of the nature
of the seed field. However, the divergence-free nature of magnetic fields in
highly conducting fluids ensures that their large-scale topology is preserved,
no matter how greatly the field intensity is changed. By performing global
two-dimensional and three-dimensional general relativistic magnetohydrodynamic
disk simulations with several different topologies for the initial magnetic
field, we explore the degree to which the character of the flows around black
holes depends on the initial topology. We find that while the qualitative
properties of the accretion flow are nearly independent of field topology,
jet-launching is very sensitive to it: a sense of vertical field consistent for
at least an inner disk inflow time is essential to the support of strong jets.
| astro-ph | because the magnetorotational instability is capable of exponentially amplifying weak preexisting magnetic fields it might be hoped that the character of the magnetic field in accretion disks is independent of the nature of the seed field however the divergencefree nature of magnetic fields in highly conducting fluids ensures that their largescale topology is preserved no matter how greatly the field intensity is changed by performing global twodimensional and threedimensional general relativistic magnetohydrodynamic disk simulations with several different topologies for the initial magnetic field we explore the degree to which the character of the flows around black holes depends on the initial topology we find that while the qualitative properties of the accretion flow are nearly independent of field topology jetlaunching is very sensitive to it a sense of vertical field consistent for at least an inner disk inflow time is essential to the support of strong jets | [['because', 'the', 'magnetorotational', 'instability', 'is', 'capable', 'of', 'exponentially', 'amplifying', 'weak', 'preexisting', 'magnetic', 'fields', 'it', 'might', 'be', 'hoped', 'that', 'the', 'character', 'of', 'the', 'magnetic', 'field', 'in', 'accretion', 'disks', 'is', 'independent', 'of', 'the', 'nature', 'of', 'the', 'seed', 'field', 'however', 'the', 'divergencefree', 'nature', 'of', 'magnetic', 'fields', 'in', 'highly', 'conducting', 'fluids', 'ensures', 'that', 'their', 'largescale', 'topology', 'is', 'preserved', 'no', 'matter', 'how', 'greatly', 'the', 'field', 'intensity', 'is', 'changed', 'by', 'performing', 'global', 'twodimensional', 'and', 'threedimensional', 'general', 'relativistic', 'magnetohydrodynamic', 'disk', 'simulations', 'with', 'several', 'different', 'topologies', 'for', 'the', 'initial', 'magnetic', 'field', 'we', 'explore', 'the', 'degree', 'to', 'which', 'the', 'character', 'of', 'the', 'flows', 'around', 'black', 'holes', 'depends', 'on', 'the', 'initial', 'topology', 'we', 'find', 'that', 'while', 'the', 'qualitative', 'properties', 'of', 'the', 'accretion', 'flow', 'are', 'nearly', 'independent', 'of', 'field', 'topology', 'jetlaunching', 'is', 'very', 'sensitive', 'to', 'it', 'a', 'sense', 'of', 'vertical', 'field', 'consistent', 'for', 'at', 'least', 'an', 'inner', 'disk', 'inflow', 'time', 'is', 'essential', 'to', 'the', 'support', 'of', 'strong', 'jets']] | [-0.21313065656644553, 0.17008636590993415, -0.058792899080811915, 0.0803584138321101, -0.08136467531095354, -0.060166205954262794, -0.05339892649053767, 0.3601415822706914, -0.27149429753878895, -0.30036951242280857, 0.08623429278678381, -0.1934929333613761, -0.07964571335409977, 0.2182725512479641, 0.009864855088851078, 0.004179978312379649, 0.036693598123957866, 0.006704280748456514, -0.024784232976808384, -0.22414835788417278, 0.3794404893248741, 0.10632265247816385, 0.25962451812462745, 0.00973988112797137, 0.05647398258375676, -0.04376206545121208, -0.006049452637810083, 0.08655984037584263, -0.10604962910802482, 0.044966353160538236, 0.16472075736390895, 0.06905537553764737, 0.24487973480407374, -0.47441846241883073, -0.23593168400883752, 0.03718081490472466, 0.14963508387045543, 0.09689929378836663, -0.08086117260794783, -0.22947056517701875, 0.1283215313031636, -0.1086991966527223, -0.15305154206117197, -0.0639075235381317, 0.037188920876657476, 0.01346473153371706, -0.28400466689162057, 0.08684350412535373, 0.11356335498398917, 0.06316313968629253, -0.10070885056756487, -0.009011268000384527, -0.08728451663026346, 0.10255007489923337, 0.13125734123223948, 0.10047860773989842, 0.18808417506579336, -0.22264068872116657, -0.05670711546455238, 0.3626873600993584, -0.04192366906549452, -0.15472074439685765, 0.24459907215810855, -0.21850163658501162, -0.08317542955006922, 0.19055222209105838, 0.1613171700028652, 0.13000947727384615, -0.09050589985987108, 0.08292726732092671, -0.06659593946794617, 0.18075617995243012, 0.014606281947091121, 0.02236609096792495, 0.3199365840540553, 0.1216695262119174, 0.07323589063563136, 0.10933031020670192, -0.09696653781682063, -0.10511459242932651, -0.2658477132493744, -0.14605860403567858, -0.1789202144825641, 0.07669800771463688, -0.10827195654188831, -0.20524447123665793, 0.3974398893563926, 0.15317953937705986, 0.1755819325628342, -0.05115320946828012, 0.28736282415743175, 0.07461186615294035, 0.054820066405425395, 0.1645386694886145, 0.32629749560651455, 0.2017044915174622, 0.12704702015161565, -0.23647565260168393, 0.07389582236785264, 0.02381304476796618] |
709.3834 | Back-in-time dynamics of the cluster IE 0657-56 (the Bullet System) | paper removed: double submission
| astro-ph | paper removed double submission | [['paper', 'removed', 'double', 'submission']] | [-0.09834776166826487, 0.03757779812440276, -0.009943779092282057, -0.15113526210188866, -0.055892928736284375, -0.2942659556865692, 0.1553280828811694, 0.22001998126506805, -0.3649207269772887, -0.3299047611653805, 0.012626834213733673, -0.22401998192071915, -0.17937032878398895, -0.043188076466321945, -0.35072203166782856, 0.02362431399524212, 0.378571055829525, -0.05418277159333229, -0.09132386231794953, -0.5937498509883881, 0.32943468168377876, 0.20894759334623814, 0.243253655731678, 0.06540759839117527, -0.06429955229396, 0.09919936023652554, -0.3096037954092026, -0.015735618770122528, -0.2255971096456051, -0.09362257458269596, 0.1322639649733901, -0.028974706307053566, 0.3302203044295311, -0.47850843891501427, 0.10340318270027637, 0.049579459242522717, 0.384026350453496, 0.047041673213243484, -0.09491130895912647, -0.23014697805047035, 0.13387162704020739, -0.48014629539102316, -0.22129465453326702, 0.03676845971494913, -0.13598332926630974, -0.21300342306494713, -0.06293954886496067, -0.04337876895442605, 0.22134613245725632, -0.0459622087655589, 0.06809466052800417, -0.1577593106776476, 0.013890975154936314, 0.19145285710692406, 0.10669185593724251, 0.1796338502317667, 0.19196387380361557, -0.03863395098596811, -0.22501398250460625, 0.3071923665702343, -0.04735472658649087, -0.05440607573837042, -0.06133090704679489, 0.029442543163895607, -0.46691935509443283, 0.16393671743571758, 0.15170519845560193, 0.08799090888351202, -0.4739929176867008, 0.10387599654495716, 0.01885279454290867, 0.2094302624464035, 0.40703002735972404, -0.06289710476994514, 0.1278536058962345, 0.03215273842215538, -0.06012203951831907, 0.19815137004479766, -0.14198029227554798, -0.004261693102307618, -0.49524568766355515, -0.034791866317391396, -0.18852453492581844, 0.015996326692402363, 0.3237253255210817, -0.24911180511116982, 0.3527213209308684, 0.062454454600811005, 0.04143431782722473, -0.00917734019458294, 0.3667151406407356, 0.019452551379799843, -0.02883089240640402, -0.15955380446393974, 0.08288316428661346, -0.10146691743284464, 0.21825172030366957, -0.0980061013251543, 0.12506207451224327, 0.20840633241459727] |
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