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709.0235 | Flavors and Phases in Unparticle Physics | Inspired by the recent Georgi's unparticle proposal, we study the flavor
structures of the standard model (SM) particles when they couple to
unparticles. At a very high energy scale, we introduce $\BZ$ charges for the SM
particles, which are universal for each generation and allow $\BZ$ fields to
distinguish flavor generations. At the $\Lambda_{\UP}$ scale, $\BZ$ operators
and charges are matched onto unparticle operators and charges, respectively. In
this scenario, we find that tree flavor changing neutral currents (FCNCs) can
be induced by the rediagonalizations of the SM fermions. As an illustration, we
employ the Fritzsch ansatz to the SM fermion mass matrices and we find that the
FCNC effects could be simplified to be associated with the mass ratios denoted
by $\sqrt{m_{i}m_{j}/m^2_{3}}$, where $m_3$ is the mass of the heaviest
particle in each type of fermion generations and $i, j$ are the flavor indices.
In addition, we show that there is no new CP violating phase beside the unique
one in the CKM matrix. We use $\bar B_{q}\to \ell^{+} \ell^{-}$ as examples to
display the new FCNC effects. In particular, we demonstrate that the direct CP
asymmetries in the decays can be $O(10%)$ due to the peculiar CP conserving
phase in the unparticle propagator.
| hep-ph | inspired by the recent georgis unparticle proposal we study the flavor structures of the standard model sm particles when they couple to unparticles at a very high energy scale we introduce bz charges for the sm particles which are universal for each generation and allow bz fields to distinguish flavor generations at the lambda_up scale bz operators and charges are matched onto unparticle operators and charges respectively in this scenario we find that tree flavor changing neutral currents fcncs can be induced by the rediagonalizations of the sm fermions as an illustration we employ the fritzsch ansatz to the sm fermion mass matrices and we find that the fcnc effects could be simplified to be associated with the mass ratios denoted by sqrtm_im_jm2_3 where m_3 is the mass of the heaviest particle in each type of fermion generations and i j are the flavor indices in addition we show that there is no new cp violating phase beside the unique one in the ckm matrix we use bar b_qto ell ell as examples to display the new fcnc effects in particular we demonstrate that the direct cp asymmetries in the decays can be o10 due to the peculiar cp conserving phase in the unparticle propagator | [['inspired', 'by', 'the', 'recent', 'georgis', 'unparticle', 'proposal', 'we', 'study', 'the', 'flavor', 'structures', 'of', 'the', 'standard', 'model', 'sm', 'particles', 'when', 'they', 'couple', 'to', 'unparticles', 'at', 'a', 'very', 'high', 'energy', 'scale', 'we', 'introduce', 'bz', 'charges', 'for', 'the', 'sm', 'particles', 'which', 'are', 'universal', 'for', 'each', 'generation', 'and', 'allow', 'bz', 'fields', 'to', 'distinguish', 'flavor', 'generations', 'at', 'the', 'lambda_up', 'scale', 'bz', 'operators', 'and', 'charges', 'are', 'matched', 'onto', 'unparticle', 'operators', 'and', 'charges', 'respectively', 'in', 'this', 'scenario', 'we', 'find', 'that', 'tree', 'flavor', 'changing', 'neutral', 'currents', 'fcncs', 'can', 'be', 'induced', 'by', 'the', 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709.0236 | The hierarchical build-up of bulges in CDM | We investigate the hierarchical build-up of stars in bulges within the
standard $\Lambda$-cold dark matter scenario. By separating the population into
stars born during starbursts that accompany the formation of spheroids in major
mergers ({\it starburst} component), and stars that are previously formed in
discs of progenitor galaxies ({\it quiescent} component) and added to the
spheroid by dynamical interaction. Our results are summarised as follows:
bulges that form early have larger starburst fraction and hence should be
smaller than their counter parts that form later. The quiescent fraction in
bulges is an increasing function of bulge mass, becoming constant at
$M_{\rm{q}}/M_{\rm{bul}} \sim 0.8$, mainly due to the infall of satellite
galaxies that contribute disc stars to the bulge. Minor mergers are an order of
magnitude more frequent than major mergers and must play a significant role in
the evolution of bulges. Above the critical mass $M_{\rm{c}}\sim 3 \times
10^{10}$ M$_{\odot}$ most of the stars in the universe are in spheroids, which
at high redshift are exclusively elliptical galaxies and at low redshifts
partly bulges. Due to the enhanced evolution of galaxies ending up in high
density environments, the starburst fraction and the surface mass densities of
bulges below $M_{\rm{c}}$ should be enhanced with respect to field galaxies.
Dissipation during the formation of massive bulges in present day early-type
spirals is less important than for the formation of present day elliptical
galaxies of the same mass thereby explaining the possible difference in
phase-space densities between spiral galaxies and elliptical galaxies.
| astro-ph | we investigate the hierarchical buildup of stars in bulges within the standard lambdacold dark matter scenario by separating the population into stars born during starbursts that accompany the formation of spheroids in major mergers it starburst component and stars that are previously formed in discs of progenitor galaxies it quiescent component and added to the spheroid by dynamical interaction our results are summarised as follows bulges that form early have larger starburst fraction and hence should be smaller than their counter parts that form later the quiescent fraction in bulges is an increasing function of bulge mass becoming constant at m_rmqm_rmbul sim 08 mainly due to the infall of satellite galaxies that contribute disc stars to the bulge minor mergers are an order of magnitude more frequent than major mergers and must play a significant role in the evolution of bulges above the critical mass m_rmcsim 3 times 1010 m_odot most of the stars in the universe are in spheroids which at high redshift are exclusively elliptical galaxies and at low redshifts partly bulges due to the enhanced evolution of galaxies ending up in high density environments the starburst fraction and the surface mass densities of bulges below m_rmc should be enhanced with respect to field galaxies dissipation during the formation of massive bulges in present day earlytype spirals is less important than for the formation of present day elliptical galaxies of the same mass thereby explaining the possible difference in phasespace densities between spiral galaxies and elliptical galaxies | [['we', 'investigate', 'the', 'hierarchical', 'buildup', 'of', 'stars', 'in', 'bulges', 'within', 'the', 'standard', 'lambdacold', 'dark', 'matter', 'scenario', 'by', 'separating', 'the', 'population', 'into', 'stars', 'born', 'during', 'starbursts', 'that', 'accompany', 'the', 'formation', 'of', 'spheroids', 'in', 'major', 'mergers', 'it', 'starburst', 'component', 'and', 'stars', 'that', 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0.20556117317400782, 0.04842748303142399, -0.2316427729102003, 0.09616635687369096, -0.03349566386872524] |
709.0237 | Interqubit coupling mediated by a high-excitation-energy quantum object | We consider a system composed of two qubits and a high-excitation-energy
quantum object used to mediate coupling between the qubits. We treat the entire
system quantum mechanically and analyze the properties of the eigenvalues and
eigenstates of the total Hamiltonian. After reproducing well-known results
concerning the leading term in the mediated coupling, we obtain an expression
for the residual coupling between the qubits in the off state. We also analyze
the entanglement between the three objects, i.e. the two qubits and the
coupler, in the eigenstates of the total Hamiltonian. Although we focus on the
application of our results to the recently realized parametric-coupling scheme
with two qubits, we also discuss extensions of our results to
harmonic-oscillator couplers, couplers that are near resonance with the qubits
and multi-qubit systems. In particular, we find that certain errors that are
absent for a two-qubit system arise when dealing with multi-qubit systems.
| cond-mat.supr-con | we consider a system composed of two qubits and a highexcitationenergy quantum object used to mediate coupling between the qubits we treat the entire system quantum mechanically and analyze the properties of the eigenvalues and eigenstates of the total hamiltonian after reproducing wellknown results concerning the leading term in the mediated coupling we obtain an expression for the residual coupling between the qubits in the off state we also analyze the entanglement between the three objects ie the two qubits and the coupler in the eigenstates of the total hamiltonian although we focus on the application of our results to the recently realized parametriccoupling scheme with two qubits we also discuss extensions of our results to harmonicoscillator couplers couplers that are near resonance with the qubits and multiqubit systems in particular we find that certain errors that are absent for a twoqubit system arise when dealing with multiqubit systems | [['we', 'consider', 'a', 'system', 'composed', 'of', 'two', 'qubits', 'and', 'a', 'highexcitationenergy', 'quantum', 'object', 'used', 'to', 'mediate', 'coupling', 'between', 'the', 'qubits', 'we', 'treat', 'the', 'entire', 'system', 'quantum', 'mechanically', 'and', 'analyze', 'the', 'properties', 'of', 'the', 'eigenvalues', 'and', 'eigenstates', 'of', 'the', 'total', 'hamiltonian', 'after', 'reproducing', 'wellknown', 'results', 'concerning', 'the', 'leading', 'term', 'in', 'the', 'mediated', 'coupling', 'we', 'obtain', 'an', 'expression', 'for', 'the', 'residual', 'coupling', 'between', 'the', 'qubits', 'in', 'the', 'off', 'state', 'we', 'also', 'analyze', 'the', 'entanglement', 'between', 'the', 'three', 'objects', 'ie', 'the', 'two', 'qubits', 'and', 'the', 'coupler', 'in', 'the', 'eigenstates', 'of', 'the', 'total', 'hamiltonian', 'although', 'we', 'focus', 'on', 'the', 'application', 'of', 'our', 'results', 'to', 'the', 'recently', 'realized', 'parametriccoupling', 'scheme', 'with', 'two', 'qubits', 'we', 'also', 'discuss', 'extensions', 'of', 'our', 'results', 'to', 'harmonicoscillator', 'couplers', 'couplers', 'that', 'are', 'near', 'resonance', 'with', 'the', 'qubits', 'and', 'multiqubit', 'systems', 'in', 'particular', 'we', 'find', 'that', 'certain', 'errors', 'that', 'are', 'absent', 'for', 'a', 'twoqubit', 'system', 'arise', 'when', 'dealing', 'with', 'multiqubit', 'systems']] | [-0.19177955016493797, 0.1538924644298283, 0.0026158458778165836, 0.03370377484813561, 0.05032796104799728, -0.1785023287223766, 0.03952830206748529, 0.3823056120526831, -0.19777574336320972, -0.2836438745298252, 0.0520110196452968, -0.30743250526728577, -0.155940860180425, 0.23232343202760938, -0.005328687784566107, 0.06181390328826953, 0.08486857240683823, 0.018590278389743295, -0.09412305410254468, -0.23119137948854085, 0.3509127272698445, -0.016936545140667482, 0.2419729904528251, 0.04748876585441382, 0.12080433306467979, 0.01520273649627913, 0.06509097964268457, -0.04260773467039373, -0.09711202565927278, 0.12355402069400717, 0.21462831895823786, 0.0701424833418814, 0.20934981818558002, -0.45594075484340696, -0.15634975157880865, 0.10430750421558817, 0.11465216988102109, 0.1859431211475511, -0.021385451180854064, -0.3178754800195698, 0.017535708861292472, -0.18744456847071597, -0.10003905707248012, -0.09881488779452027, -0.005584388248286634, -0.002666109628012391, -0.24084800208180662, 0.046946522674830564, 0.08293154668918222, 0.008968876945615118, -0.03754620287459673, -0.04855735458474809, 0.008952494808884503, 0.13663674015999253, -0.001044448633792297, -0.06441573057716497, 0.11208106659184096, -0.11770266162700393, -0.13723756202186146, 0.349723194732147, -0.05293249181269028, -0.21775565614455006, 0.19143497853992875, -0.1064447974469386, -0.10737247291166767, 0.004991626389147271, 0.15563713508930538, 0.09393895234157122, -0.13307444676394545, 0.07697432596659363, 0.007477080259396106, 0.19997544210961685, 0.03713145266052614, 0.1333780234179073, 0.1631907228535662, 0.10157425804095356, 0.08151044792552688, 0.22085963432727773, -0.07434147672227197, -0.1573430823643698, -0.32713687336499975, -0.18248730574157976, -0.20174404279943428, 0.028180348813584468, -0.059932441925325076, -0.12952924333512783, 0.4337800934053845, 0.15483390106376083, 0.2162175818986329, 0.008372561800211262, 0.26125904968401203, 0.13791318658618953, 0.09479865085548994, 0.06988514133184186, 0.2938407567285356, 0.174599135611333, 0.039045231052528634, -0.301519782162037, -0.02634204429935436, 0.021586327981457216] |
709.0238 | Large deviation for return times in open sets for axiom A
diffeomorphisms | For axiom A diffeomorphisms and equilibrium state, we prove a Large deviation
result for the sequence of successive return times into a fixed open set, under
some assumption on the boundary. Our result relies on and extends the work by
Chazottes and Leplaideur who where considering cylinder sets of a Markov
partition.
| math.DS | for axiom a diffeomorphisms and equilibrium state we prove a large deviation result for the sequence of successive return times into a fixed open set under some assumption on the boundary our result relies on and extends the work by chazottes and leplaideur who where considering cylinder sets of a markov partition | [['for', 'axiom', 'a', 'diffeomorphisms', 'and', 'equilibrium', 'state', 'we', 'prove', 'a', 'large', 'deviation', 'result', 'for', 'the', 'sequence', 'of', 'successive', 'return', 'times', 'into', 'a', 'fixed', 'open', 'set', 'under', 'some', 'assumption', 'on', 'the', 'boundary', 'our', 'result', 'relies', 'on', 'and', 'extends', 'the', 'work', 'by', 'chazottes', 'and', 'leplaideur', 'who', 'where', 'considering', 'cylinder', 'sets', 'of', 'a', 'markov', 'partition']] | [-0.1318638753862335, 0.09995981693142451, -0.09717519961010951, 0.025174534225908037, -0.017788653884333774, -0.10130206848351428, 0.14069774983531366, 0.29343192275756824, -0.24198470392730087, -0.2430136256510965, 0.15898359357379377, -0.24786860076710582, -0.07033030086985001, 0.2013852892873379, -0.10441747662396385, 0.05085089351632632, 0.10497420451317269, 0.028868697583675385, -0.011606598120684234, -0.21845002948807982, 0.3915090257158646, -0.0404691410680803, 0.24047922600920385, 0.05855422518372787, 0.14070713786014283, 0.06011908632130004, -0.0038685731750984606, 0.044959234297633745, -0.13938431601183346, 0.07905524289414573, 0.16694029027936408, 0.13268859966998348, 0.2939854858872982, -0.4005304861527223, -0.18031200879396728, 0.08799702232219996, 0.0594447538561116, 0.07247195972237162, -0.008179017262031825, -0.32266453044632304, 0.09957732299629313, -0.12049684108261807, -0.12552773804726222, -0.00951490921075814, 0.007758971576829656, 0.025563916339216612, -0.3419863242441072, -0.003265599747045109, 0.16623496556600842, 0.09848719010971344, -0.07663924253294961, -0.11377395365315561, 0.005732334890546134, 0.10694852586871442, 0.08680251661616449, 0.0751941863160867, 0.11513607434104554, -0.04054863023786591, -0.07283310019052945, 0.33112592783828193, -0.07791982687866458, -0.2321534575178073, 0.1663932118905135, -0.1231226326020148, -0.19111972810843816, 0.08013880012843472, 0.11246281577489124, 0.12982684422212726, -0.11791732341337663, 0.1536917216469122, -0.12944623145337503, 0.13372904103240357, 0.11755126895597921, -0.024436319497628853, 0.16364928666287318, 0.12878598326530594, 0.15522836940139173, 0.16564136851005828, -0.006979221410941905, -0.14461894390674737, -0.3260572526800948, -0.15029553064288428, -0.18461571258152476, 0.15357903179784232, -0.09168862408981883, -0.18259018691829765, 0.36575908593546885, 0.11953927065209988, 0.21450537063467962, 0.16285634098144677, 0.2286240683438686, 0.06490159166395852, -0.007052369639635659, 0.12382785098340648, 0.12626846689258506, 0.10465926290579283, 0.011946642054961277, -0.14563267989657247, 0.07386591615012059, 0.14843036147515073] |
709.0239 | Percolation sur le syst\`eme \`a trois points | The three dot system is an action by homeomorphisms of $\mathbb Z^2$ on a
compact space, which invariant measures are supposed to satisfy rigidity
properties analoguous to the ones of invariant measures of angle doubling and
tripling on the circle. For such measures, we establish a dichotomy which is
related to percolation properties.
| math.DS | the three dot system is an action by homeomorphisms of mathbb z2 on a compact space which invariant measures are supposed to satisfy rigidity properties analoguous to the ones of invariant measures of angle doubling and tripling on the circle for such measures we establish a dichotomy which is related to percolation properties | [['the', 'three', 'dot', 'system', 'is', 'an', 'action', 'by', 'homeomorphisms', 'of', 'mathbb', 'z2', 'on', 'a', 'compact', 'space', 'which', 'invariant', 'measures', 'are', 'supposed', 'to', 'satisfy', 'rigidity', 'properties', 'analoguous', 'to', 'the', 'ones', 'of', 'invariant', 'measures', 'of', 'angle', 'doubling', 'and', 'tripling', 'on', 'the', 'circle', 'for', 'such', 'measures', 'we', 'establish', 'a', 'dichotomy', 'which', 'is', 'related', 'to', 'percolation', 'properties']] | [-0.20757829433061042, 0.13906046585866277, -0.09949978648351049, 0.107285713342036, -0.047510166670072754, -0.12041711991758279, 0.03463209420442581, 0.370980108262233, -0.26281330803022634, -0.21348479912036433, 0.16154404967707, -0.323101409464934, -0.13119101513809753, 0.2209907035466354, -0.1380296410940025, 0.08722300460245812, -0.03214907688352297, 0.07477012892991726, -0.11378277699410352, -0.2037007211057364, 0.4170066586361741, -0.028020077604659886, 0.2687375648825798, 0.05150930745140562, 0.09490228560313864, -0.035680391039383016, -0.003971047734595694, 0.019449495244222112, -0.21432217277305307, 0.1015511016308699, 0.1343484959863829, 0.06107971686342696, 0.17489452855134346, -0.28404862960835675, -0.19778482505243342, 0.1453318120560275, 0.07368979231401715, -0.026836826400128456, -0.007254495830187258, -0.3469753342698205, 0.07363280295482222, -0.0646166108803437, -0.16273395505399918, -0.07023480574969414, 0.07446359022397478, 0.04223948088035269, -0.2541142076535045, 0.01524576446357763, 0.122396269295626, 0.07425588191891054, -0.07980747835025331, 0.0060977771425760295, -0.03059929213925915, 0.1440616857155033, 0.04751861509251988, 0.11453789227448825, 0.16020602109965007, -0.041036920217832305, -0.14357611358622616, 0.40241488693984895, -0.061877673505014684, -0.2751002011926107, 0.22306973126910204, -0.2091839687881183, -0.20968991671776716, 0.1044120358408622, 0.1509102544448567, 0.10770308240404669, -0.12939492034954284, 0.08653002323578375, -0.09839209817560776, 0.13179907473331354, 0.024937989445016632, 0.0834414504187287, 0.1728149118760759, 0.11175248592670234, 0.1917144660222924, 0.14705850457210304, -0.011399259465693866, -0.09348166013523093, -0.28088918040102384, -0.17185801933607403, -0.17022007471389788, 0.1500966666652909, -0.09644233407249525, -0.19768049956062142, 0.3913637284312467, 0.052946710502201656, 0.21642945335605754, 0.11041418027642341, 0.17651940369099942, 0.12301802184907193, 0.09396197776890026, 0.03077612652109479, 0.16643807861321377, 0.17546773281602962, -0.041680671309806266, -0.15773630449724085, 0.014702708715186367, 0.171192088287394] |
709.024 | Analyse harmonique sur le graphe de Pascal | We prove a spectral decomposition theorem for a well-known self-similar
graph, for some finite graphs which are quotients of this graph and for a
compactification of it.
| math.DS math.SP | we prove a spectral decomposition theorem for a wellknown selfsimilar graph for some finite graphs which are quotients of this graph and for a compactification of it | [['we', 'prove', 'a', 'spectral', 'decomposition', 'theorem', 'for', 'a', 'wellknown', 'selfsimilar', 'graph', 'for', 'some', 'finite', 'graphs', 'which', 'are', 'quotients', 'of', 'this', 'graph', 'and', 'for', 'a', 'compactification', 'of', 'it']] | [-0.11702904367336521, 0.06807329964444593, -0.18512627792855105, 0.13609689527139482, -0.1414535444367815, -0.09443375069854988, 0.03179099862636239, 0.3590222217694477, -0.31266686844604985, -0.20042651149237323, 0.19987991574668773, -0.23769172550075585, -0.14012015502279004, 0.20861557170886685, -0.13202841728235837, 0.032469745001031294, 0.12018397105512796, 0.08411443957851993, -0.018588232290413644, -0.18301246457741838, 0.373764319828263, -0.10664751839444593, 0.1963558397083371, 0.14048270710433522, 0.1342673782190239, -0.02076337229529465, -0.051019311123700055, 0.07901481911540031, -0.18604140952919368, 0.12442619684669706, 0.29674943150193606, 0.1398205631153865, 0.22440564025331428, -0.29527611823545563, -0.2450908082364886, 0.22718518920656708, 0.12932400403682281, 0.08740379383218372, -0.01263161894382426, -0.2363192487370085, 0.1971900525537354, -0.16083593079302874, -0.10317628892759483, -0.06854591470349718, 0.0866527319368389, 0.03498785370201976, -0.3085705975967425, -0.030680967943259963, 0.19257787897906922, 0.08471705209187887, -0.002186274345688246, -0.09179670687902856, 0.000696214347111958, 0.03133141494321602, -0.04944301969199269, -0.026557492713133495, 0.01296342547155089, -0.07191982943806108, -0.1470340864594888, 0.37931941891158066, -0.009567094000953215, -0.19361068501516623, 0.08854162085939336, -0.11209240721331702, -0.2650470519610853, 0.0721530810136486, 0.08137212410845139, 0.17483497887021965, -0.043892526619688225, 0.14734715057528336, -0.1461948355038961, 0.0602093655616045, 0.16522445555569398, 0.009428702018879078, 0.08346474101697957, 0.15223178232985515, 0.17861694687356552, 0.20227871376469178, 0.056741859677627134, -0.019413927914919676, -0.33397131366224064, -0.15675213795017312, -0.21186228779455027, 0.13990451547282715, -0.2628820787902913, -0.32353117758477173, 0.4599562066572684, 0.04285248094755742, 0.1705053549742809, 0.17692187684156965, 0.2154479244792903, 0.0921735164054014, 0.02302940386450953, 0.12892252610375485, 0.06581443195183831, 0.241219331268911, -0.0037479248863679392, -0.09816829805020932, -0.0736009066545025, 0.22656926857652487] |
709.0241 | Scalar Emission in the Bulk in a Rotating Black Hole Background | We study the emission of scalars into the bulk from a higher-dimensional
rotating black hole. We obtain an analytic solution to the field equation by
employing matching techniques on expressions valid in the near-horizon and
far-field regimes. Both analytic and numerical results for the absorption
probability, in the low-energy and low-angular momentum limit, are derived and
found to be in excellent agreement. We also compute the energy emission rate,
and show that the brane-to-bulk ratio of the energy emission rates for scalar
fields remains always larger than unity in the aforementioned regime.
| hep-th astro-ph gr-qc hep-ph | we study the emission of scalars into the bulk from a higherdimensional rotating black hole we obtain an analytic solution to the field equation by employing matching techniques on expressions valid in the nearhorizon and farfield regimes both analytic and numerical results for the absorption probability in the lowenergy and lowangular momentum limit are derived and found to be in excellent agreement we also compute the energy emission rate and show that the branetobulk ratio of the energy emission rates for scalar fields remains always larger than unity in the aforementioned regime | [['we', 'study', 'the', 'emission', 'of', 'scalars', 'into', 'the', 'bulk', 'from', 'a', 'higherdimensional', 'rotating', 'black', 'hole', 'we', 'obtain', 'an', 'analytic', 'solution', 'to', 'the', 'field', 'equation', 'by', 'employing', 'matching', 'techniques', 'on', 'expressions', 'valid', 'in', 'the', 'nearhorizon', 'and', 'farfield', 'regimes', 'both', 'analytic', 'and', 'numerical', 'results', 'for', 'the', 'absorption', 'probability', 'in', 'the', 'lowenergy', 'and', 'lowangular', 'momentum', 'limit', 'are', 'derived', 'and', 'found', 'to', 'be', 'in', 'excellent', 'agreement', 'we', 'also', 'compute', 'the', 'energy', 'emission', 'rate', 'and', 'show', 'that', 'the', 'branetobulk', 'ratio', 'of', 'the', 'energy', 'emission', 'rates', 'for', 'scalar', 'fields', 'remains', 'always', 'larger', 'than', 'unity', 'in', 'the', 'aforementioned', 'regime']] | [-0.10956871620905788, 0.08481927365510669, -0.051022012535806585, 0.12414203953180138, -0.00677130650728941, -0.09426237733113459, 0.02851862900728441, 0.3520093840020506, -0.17867734340910355, -0.26225171103547124, 0.0682664398893552, -0.2830314488129933, -0.07681802565323027, 0.2523416314051365, 0.014887203265022, 0.033635897683384625, 0.015978400937139824, 0.01707203636634285, -0.06821311173869458, -0.1551890176538702, 0.33276723608698533, 0.0796639725525418, 0.2828765188384315, 0.0755168471368961, 0.07272818037207522, -0.014313147489345916, 0.013264449029836966, 0.03582429669230529, -0.20226129316182304, 0.08511688633133536, 0.23122186959549057, 0.07174432364231705, 0.13571805448736995, -0.4101894640404245, -0.19507720899444236, 0.06637667393838258, 0.20566561791296725, 0.1407850513325842, -0.07920999100188846, -0.24302097928517943, 0.07305971595823117, -0.16585089927336769, -0.14848661970893812, -0.07911393695774124, 0.011742321957844188, -0.00667513586813584, -0.2961346684631122, 0.12377565585642436, 0.0324846807153612, -0.023893917667800964, -0.12993714547432636, -0.08826788313403401, -0.033030599193728485, 0.08528694836928954, 0.11700147550310129, 0.010900218100489481, 0.1325527144666842, -0.1785598765431053, -0.07075482443273674, 0.35675777939310216, -0.12477166843224119, -0.1784466304158306, 0.17412739653271905, -0.24034348172236883, -0.06561485061968636, 0.19932821513983703, 0.14491395276728208, 0.15591996032542185, -0.1358580625028876, 0.1009214869010738, -0.02101323392201701, 0.15837498246084736, 0.10066158688404477, 0.08098442162538602, 0.24685711585714118, 0.06725420554816398, 0.006088007421172021, 0.1407007261283149, -0.0893051827695909, -0.11120571197597715, -0.28917654800107295, -0.14608182108191692, -0.1581080633850829, 0.07149248586653772, -0.14421032974417397, -0.10501646003989584, 0.34856397540146566, 0.1370422191406681, 0.20076799154808017, 0.0842839447558736, 0.3044916447252035, 0.19067245434321786, 0.016954724099891988, 0.13374623274633093, 0.34717989530358667, 0.146092253220875, 0.0864172296082277, -0.24368685136078452, -0.041957995877095054, 0.06721043399454135] |
709.0242 | The Poisson bracket compatible with the classical reflection equation
algebra | We introduce a family of compatible Poisson brackets on the space of $2\times
2$ polynomial matrices, which contains the reflection equation algebra bracket.
Then we use it to derive a multi-Hamiltonian structure for a set of integrable
systems that includes the $XXX$ Heisenberg magnet with boundary conditions, the
generalized Toda lattices and the Kowalevski top.
| nlin.SI | we introduce a family of compatible poisson brackets on the space of 2times 2 polynomial matrices which contains the reflection equation algebra bracket then we use it to derive a multihamiltonian structure for a set of integrable systems that includes the xxx heisenberg magnet with boundary conditions the generalized toda lattices and the kowalevski top | [['we', 'introduce', 'a', 'family', 'of', 'compatible', 'poisson', 'brackets', 'on', 'the', 'space', 'of', '2times', '2', 'polynomial', 'matrices', 'which', 'contains', 'the', 'reflection', 'equation', 'algebra', 'bracket', 'then', 'we', 'use', 'it', 'to', 'derive', 'a', 'multihamiltonian', 'structure', 'for', 'a', 'set', 'of', 'integrable', 'systems', 'that', 'includes', 'the', 'xxx', 'heisenberg', 'magnet', 'with', 'boundary', 'conditions', 'the', 'generalized', 'toda', 'lattices', 'and', 'the', 'kowalevski', 'top']] | [-0.19787108532407066, 0.07718569488497451, -0.00912775078957731, 0.06993599054826931, -0.13859705873765052, -0.1570406328971413, -0.042858730967749246, 0.31080060614780947, -0.3182658170794391, -0.1781005123630166, 0.11583043277178975, -0.23124111301519654, -0.15985712505961683, 0.1876881883945316, -0.01991736585782333, 0.026326515296982093, 0.08912479596381838, 0.0850567064078694, -0.19168300788680262, -0.26734502431513235, 0.42011416422372516, -0.019392377182587305, 0.20283968130295926, -0.04572834066877311, 0.21699287222528998, 0.042026424255560746, 0.0634623186154799, -0.06889814654079435, -0.17923801634950162, 0.11573901158672842, 0.17871770956976848, -0.0012882614423605529, 0.11942346167581325, -0.3793808772482655, -0.11464219884100285, 0.1002400428310714, 0.1148135942989029, 0.06894145332149823, 0.016521864373829555, -0.2960716604509137, 0.04542890788817948, -0.21273047350008378, -0.1916242900685492, -0.03766302017664368, 0.0004248169335451993, 0.020636762035163965, -0.2871548957752318, 0.06226932054216212, 0.09510993776758286, 0.08964017600837079, -0.10941078664565629, -0.12272424399852752, -0.05337141519835727, 0.01034399676560001, -0.1170813777399334, -0.005586112423969263, 0.05969982193782926, -0.05197517405295829, -0.13260381827130913, 0.4231668181918477, -0.014501314356245777, -0.320902778360654, 0.11304701494730332, -0.15542200585319238, -0.21384991630911826, 0.08392430794509974, 0.11227489590052177, 0.03508139022371986, -0.1659675649123859, 0.20037919922879982, -0.13078771458557722, 0.0913244610821659, 0.06040301636200059, -0.026743854252113536, 0.1542293983426961, 0.11713067512451247, 0.1051515039225871, 0.17179805040359497, -0.012184337729757482, -0.14813585576008667, -0.3584683075547218, -0.20309177703139455, -0.14191538663581013, 0.14214379916136916, -0.11192259233503137, -0.23058763314038516, 0.4028631376525895, 0.1264061521315439, 0.15117736104875804, 0.09290105530949817, 0.12983978309837932, 0.15283543602378236, 0.10146792595359412, 0.07851005997932092, 0.07730561000379649, 0.267228320799768, 0.07575291531499137, -0.15934801271862603, -0.07746285149319605, 0.20514027303592725] |
709.0243 | The sharp $A_p$ constant for weights in a reverse-H\"older class | In a recent paper V. Vasyunin presented a proof of the reverse H\"older
inequality with sharp constants for the weights satisfying the usual
Muckenhoupt condition. In this paper we present the inverse, that is, we use
the Bellman function technique to find the sharp $A_p$ constants for weights in
a reverse-H\"older class on an interval; we also find the sharp constants for
the higher-integrability result of Gehring.
Additionally, we find bounds for the $A_p$ constants of
reverse-H\"older-class weights defined on rectangles and on cubes in n
dimensions.
| math.CA math.AP | in a recent paper v vasyunin presented a proof of the reverse holder inequality with sharp constants for the weights satisfying the usual muckenhoupt condition in this paper we present the inverse that is we use the bellman function technique to find the sharp a_p constants for weights in a reverseholder class on an interval we also find the sharp constants for the higherintegrability result of gehring additionally we find bounds for the a_p constants of reverseholderclass weights defined on rectangles and on cubes in n dimensions | [['in', 'a', 'recent', 'paper', 'v', 'vasyunin', 'presented', 'a', 'proof', 'of', 'the', 'reverse', 'holder', 'inequality', 'with', 'sharp', 'constants', 'for', 'the', 'weights', 'satisfying', 'the', 'usual', 'muckenhoupt', 'condition', 'in', 'this', 'paper', 'we', 'present', 'the', 'inverse', 'that', 'is', 'we', 'use', 'the', 'bellman', 'function', 'technique', 'to', 'find', 'the', 'sharp', 'a_p', 'constants', 'for', 'weights', 'in', 'a', 'reverseholder', 'class', 'on', 'an', 'interval', 'we', 'also', 'find', 'the', 'sharp', 'constants', 'for', 'the', 'higherintegrability', 'result', 'of', 'gehring', 'additionally', 'we', 'find', 'bounds', 'for', 'the', 'a_p', 'constants', 'of', 'reverseholderclass', 'weights', 'defined', 'on', 'rectangles', 'and', 'on', 'cubes', 'in', 'n', 'dimensions']] | [-0.09715604034581167, 0.06946376224257299, -0.024755950830876828, 0.05250961053020814, -0.07240513968555366, -0.11850341635701411, 0.07480885316343869, 0.4028437639860546, -0.31583499130519, -0.20537047076367718, 0.08757397885543897, -0.25061794955502537, -0.13943691817112266, 0.2142760266056832, -0.09719362725668093, 0.06396954734535779, 0.062443573378464755, 0.04261342427857658, -0.08862990944043678, -0.2564738863531281, 0.35955143575282655, -0.03443350328461212, 0.20205757267882718, 0.11730433235711911, 0.06481490439687418, 0.022882781731074348, 0.0083386039306574, -0.04512017462676501, -0.31273974777680397, 0.17839772789739072, 0.18785313155282946, 0.07406844653956154, 0.2837621179464109, -0.3455244344823501, -0.12438866757952115, 0.13915331532411715, 0.11042292755754556, 0.03709420335807783, -0.042471734049510865, -0.23445138293592369, 0.0862854518544148, -0.06734252145842594, -0.1429537374745397, -0.02956127133220434, 0.06569291795877849, 0.043822614991051306, -0.388409307336106, 0.10663958998527104, 0.1259855708326487, 0.035678510250085414, -0.10981863310889287, -0.16671167399241205, 0.07402205379570231, 0.055898097220479566, 0.03081387974705328, 0.03633305725559373, 0.01228791630881674, -0.09475995031295016, -0.1102418803555124, 0.2923587658826043, -0.08696629400638974, -0.2162354325327803, 0.08855584040284156, -0.1521396854563671, -0.18646565505906063, 0.019791645186898462, 0.1419026564587565, 0.1473890820189434, -0.09167066269061144, 0.13910391911905368, -0.08368463970939903, 0.12979871765162576, 0.11428325271562619, 0.03430099073413979, 0.02613447930882959, 0.039810514461029976, 0.1603995854363722, 0.1754724018933142, -0.03273840030819616, -0.011596570443361997, -0.40448482317083023, -0.19086311885210522, -0.20861624025684947, 0.07092866521766956, -0.15326501081187469, -0.18476034494746915, 0.35526467173853343, 0.09291045597261366, 0.2533757667769404, 0.15641422705067431, 0.16988328951684867, 0.15416790952851228, 0.06849864686784499, 0.07672291033736924, 0.23430148278746535, 0.130458836008192, 0.1277180917766493, -0.1414109665845685, 0.051610140103901574, 0.18114047013223172] |
709.0244 | Neutrino Interactions with Nuclei | We investigate neutrino-nucleus collisions at intermediate energies
incorporating quasi-elastic scattering and the excitation of 13 resonances as
elementary processes, taking into account medium effects such as Fermi motion,
Pauli blocking, mean-field potentials and in-medium spectral functions. A
coupled-channel treatment of final state interactions is achieved with the
GiBUU transport model. Results for inclusive reactions, neutrino- and
electron-induced, as well as for pion production and nucleon knockout are
presented.
| nucl-ex hep-ph nucl-th | we investigate neutrinonucleus collisions at intermediate energies incorporating quasielastic scattering and the excitation of 13 resonances as elementary processes taking into account medium effects such as fermi motion pauli blocking meanfield potentials and inmedium spectral functions a coupledchannel treatment of final state interactions is achieved with the gibuu transport model results for inclusive reactions neutrino and electroninduced as well as for pion production and nucleon knockout are presented | [['we', 'investigate', 'neutrinonucleus', 'collisions', 'at', 'intermediate', 'energies', 'incorporating', 'quasielastic', 'scattering', 'and', 'the', 'excitation', 'of', '13', 'resonances', 'as', 'elementary', 'processes', 'taking', 'into', 'account', 'medium', 'effects', 'such', 'as', 'fermi', 'motion', 'pauli', 'blocking', 'meanfield', 'potentials', 'and', 'inmedium', 'spectral', 'functions', 'a', 'coupledchannel', 'treatment', 'of', 'final', 'state', 'interactions', 'is', 'achieved', 'with', 'the', 'gibuu', 'transport', 'model', 'results', 'for', 'inclusive', 'reactions', 'neutrino', 'and', 'electroninduced', 'as', 'well', 'as', 'for', 'pion', 'production', 'and', 'nucleon', 'knockout', 'are', 'presented']] | [-0.039919394092387796, 0.2619166543967474, -0.08629382983524599, 0.21572650347404895, 0.009470132700003246, -0.10523529934888597, 0.05903756674653029, 0.3509113489759757, -0.1974357886116623, -0.24549462057321386, -0.10595674281392027, -0.37985335723223057, 0.006939864716567921, 0.10106879220385213, 0.17960648985771352, 0.09325294014107545, 0.11902734249323497, -0.04069713044993799, -0.0011460452532286152, -0.11165186034871594, 0.3594372550724074, 0.09443925075260375, 0.19135644023909287, 0.25164564596215155, 0.09471557609675288, 0.1767418664496611, 0.015986642571720843, -0.07404204494977261, -0.07335613885730066, 0.000397114381485153, 0.3166098370052436, 0.007552508836584713, 0.08779348059803904, -0.4435050174155656, -0.24147750520804787, 0.032163792084354687, 0.20533536440994152, 0.18332551395082297, -0.07870764430673957, -0.3373487769105636, -0.026891853283707273, -0.27523508866536706, -0.10712456363527213, -0.1381838620188372, -0.012414730585399358, 0.06367585717645638, -0.3272295117323451, 0.11346387081122135, -0.02031312359887285, 0.040965485342038685, -0.1418548841132125, -0.300722558859407, -0.006202089617384926, 0.07222167778458885, 0.048150274418088994, -0.0022115007450338453, 0.24083391492775477, -0.172987401500851, -0.14598915623227024, 0.4491627808961579, -0.0033893687068484724, -0.14749029226710691, 0.1331644246683401, -0.16278821279240005, -0.06417528829735923, 0.17591125601628685, 0.23721185214269688, 0.036237159469986666, -0.268664725117988, 0.047818849229609925, 0.02004474453518496, 0.09705299763214391, 0.08648882578264046, 0.0881954425610328, 0.1000223364064689, 0.28909340276218515, -0.07514686881126288, 0.0028357539387584172, -0.12315244378302903, -0.11356333157677642, -0.3959060402806191, -0.05495491937515052, -0.06018356212606544, 0.10320680177606203, 0.009636742707430934, -0.09910605656092658, 0.33937388402238655, 0.03871206840609803, 0.24559283563319376, -0.01370291569037363, 0.31197654932518215, 0.13833871470106876, 0.03427154921433505, 0.02313821030753281, 0.262289375100997, 0.22533400189679334, 0.08990397785023294, -0.2957678102847079, 0.04068610878825626, 0.0524029304711696] |
709.0245 | Instanton effects in N=1 brane models and the Kahler metric of twisted
matter | We consider locally consistent systems of magnetized D9 branes on an
orbifolded six-torus which support N=1 gauge theories. In such realizations,
the matter multiplets arise from "twisted" strings connecting different stacks
of branes. The introduction of Euclidean 5 branes (E5) wrapped on the
six-dimensional compact space leads to instanton effects. For instance, if the
system is engineered so as to yield SQCD, a single E5 brane may account for the
ADS/TVY superpotential. We discuss the subtle interplay that exists between the
annuli diagrams with an E5 boundary and the holomorphicity properties of the
effective low-energy action of the N=1 theory. The consistency of this picture
allows to obtain information on the Kahler metric of the chiral matter
multiplets arising from twisted strings.
| hep-th | we consider locally consistent systems of magnetized d9 branes on an orbifolded sixtorus which support n1 gauge theories in such realizations the matter multiplets arise from twisted strings connecting different stacks of branes the introduction of euclidean 5 branes e5 wrapped on the sixdimensional compact space leads to instanton effects for instance if the system is engineered so as to yield sqcd a single e5 brane may account for the adstvy superpotential we discuss the subtle interplay that exists between the annuli diagrams with an e5 boundary and the holomorphicity properties of the effective lowenergy action of the n1 theory the consistency of this picture allows to obtain information on the kahler metric of the chiral matter multiplets arising from twisted strings | [['we', 'consider', 'locally', 'consistent', 'systems', 'of', 'magnetized', 'd9', 'branes', 'on', 'an', 'orbifolded', 'sixtorus', 'which', 'support', 'n1', 'gauge', 'theories', 'in', 'such', 'realizations', 'the', 'matter', 'multiplets', 'arise', 'from', 'twisted', 'strings', 'connecting', 'different', 'stacks', 'of', 'branes', 'the', 'introduction', 'of', 'euclidean', '5', 'branes', 'e5', 'wrapped', 'on', 'the', 'sixdimensional', 'compact', 'space', 'leads', 'to', 'instanton', 'effects', 'for', 'instance', 'if', 'the', 'system', 'is', 'engineered', 'so', 'as', 'to', 'yield', 'sqcd', 'a', 'single', 'e5', 'brane', 'may', 'account', 'for', 'the', 'adstvy', 'superpotential', 'we', 'discuss', 'the', 'subtle', 'interplay', 'that', 'exists', 'between', 'the', 'annuli', 'diagrams', 'with', 'an', 'e5', 'boundary', 'and', 'the', 'holomorphicity', 'properties', 'of', 'the', 'effective', 'lowenergy', 'action', 'of', 'the', 'n1', 'theory', 'the', 'consistency', 'of', 'this', 'picture', 'allows', 'to', 'obtain', 'information', 'on', 'the', 'kahler', 'metric', 'of', 'the', 'chiral', 'matter', 'multiplets', 'arising', 'from', 'twisted', 'strings']] | [-0.19818929682701272, 0.1882143203356238, -0.06899072266807241, 0.12791118384935424, -0.0861377663360062, -0.14448565743817401, -0.013860008902539892, 0.31538979146506424, -0.18522065550796996, -0.2698938206746435, 0.07479878546177479, -0.2903593914442136, -0.12610847463692762, 0.10372848938842696, -0.08633699764166612, -0.04719306142184852, -0.014162055817086343, 0.05489758525451661, -0.11611395853202143, -0.251129864070426, 0.4047661571809637, -0.04045362356080374, 0.2778529644489658, 0.05945049782287452, 0.08732929344920148, -0.0030502307455802014, 0.02944524371072896, -0.01608339818372499, -0.1417726090754318, 0.1408711654049429, 0.17924701224643091, 0.02919330395958271, 0.03735173728985929, -0.5059132452376864, -0.21325757379127927, 0.09881934106796364, 0.1733726415521473, 0.12004825072112871, 0.003635095533422264, -0.28066542051917265, 0.05204605883610827, -0.1523818053836234, -0.16976897188843312, -0.07716480502185281, 0.007838954995116911, -0.08372817519178599, -0.2221873593324226, 0.016174928661126044, 0.016505389593633985, 0.010176580489713176, -0.07115357412647817, -0.08595382570085108, -0.1165609650452398, 0.09293476609159107, 0.12258435563426773, 0.06970542768489815, 0.14698215235555775, -0.18234465488863816, -0.1444008072130074, 0.38348765598902523, -0.06170808982050185, -0.2328558819029819, 0.15317659440434978, -0.08544857762099728, -0.14958135692271873, 0.09243350304770938, 0.10955756031407797, 0.1672091337501972, -0.07551678845058542, 0.22821105546308373, -0.03669791167105494, 0.14062464169576794, 0.0995624357149436, 0.07762334082460354, 0.3208204429781388, 0.12345572339740297, 0.059783908253735744, 0.15513327567806143, -0.025334020356901667, -0.12521091238249185, -0.4160929715630314, -0.11387435506359667, -0.06704723124761781, 0.1366908121873309, -0.17608555839269532, -0.18772674736774658, 0.3406910596084435, 0.06570862729991363, 0.20442076134452142, 0.01329363523385957, 0.18112671247410225, 0.03497534740643098, 0.06707279228707314, 0.02413497089835515, 0.21732813621724933, 0.16286097730178972, 0.03538788843915359, -0.22496843763072938, -0.1767510213900727, 0.17440032602618794] |
709.0246 | Mesh update techniques for free-surface flow solvers using spectral
element method | This paper presents a novel mesh-update technique for unsteady free-surface
Newtonian flows using spectral element method and relying on the arbitrary
Lagrangian--Eulerian kinematic description for moving the grid. Selected
results showing compatibility of this mesh-update technique with spectral
element method are given.
| cond-mat.soft | this paper presents a novel meshupdate technique for unsteady freesurface newtonian flows using spectral element method and relying on the arbitrary lagrangianeulerian kinematic description for moving the grid selected results showing compatibility of this meshupdate technique with spectral element method are given | [['this', 'paper', 'presents', 'a', 'novel', 'meshupdate', 'technique', 'for', 'unsteady', 'freesurface', 'newtonian', 'flows', 'using', 'spectral', 'element', 'method', 'and', 'relying', 'on', 'the', 'arbitrary', 'lagrangianeulerian', 'kinematic', 'description', 'for', 'moving', 'the', 'grid', 'selected', 'results', 'showing', 'compatibility', 'of', 'this', 'meshupdate', 'technique', 'with', 'spectral', 'element', 'method', 'are', 'given']] | [-0.09085725578479469, 0.002149253443349153, -0.16560842827893793, -0.043653348000952975, -0.0827884771861136, -0.1378421893226914, -0.010651232506643283, 0.42049647551029923, -0.24117976307170466, -0.33285302128642796, 0.084052570926724, -0.1685892013134435, -0.11248452317668126, 0.24923719873913797, -0.08640270717442036, 0.13679008757462724, 0.13654797717463224, -0.045803835507831535, -0.06069780858233571, -0.13170067444443703, 0.3778468010481447, 0.012229491863399744, 0.2718039773637429, 0.024700394552201032, 0.15181061890907585, 0.0046526887221261855, -0.15039200223982335, 0.08868160545825958, -0.14835518688196317, 0.1931126133305952, 0.20983655173913576, 0.07031599167385139, 0.2222246984951198, -0.37770485747605564, -0.25896750402171165, 0.04319806806743145, 0.15739118844503536, 0.15536524415947497, -0.12671249033010099, -0.2522201371146366, 0.14405619198223577, -0.18786867919843644, -0.17419150657951832, -0.09835161534138023, -0.0681981110596098, 0.06305482457391917, -0.3189961175783537, 0.07871787929907441, 0.05670134047977626, 0.1288582717999816, -0.061178339400794354, -0.09610705901868641, 0.06845912840217352, 0.08412202739855275, -0.022446458134800194, -0.014056447093025781, 0.08008398553356529, -0.05235215240390971, -0.06796152389142662, 0.4146243314258754, -0.06725151648279279, -0.27888791138248054, 0.19279574516694992, -0.058029193856054914, -0.1087045086431317, 0.15581649681553245, 0.19665001560933887, 0.20996141359210013, -0.15483187763020395, 0.05819377067819005, -0.036456933617591857, 0.13443050037603826, 0.0612191496999003, -0.07012271941639484, 0.13760919808410108, 0.23188075958751142, 0.08757436758605763, 0.12037743236287497, -0.13411869101109913, -0.05820576217956841, -0.3260251914616674, -0.14817855469882488, -0.1782990085426718, -0.036350229172967374, -0.13155904427367204, -0.2181194543140009, 0.39241476245224477, 0.13947213770916278, 0.11567526329308749, 0.07782239916268736, 0.38511449261568487, 0.12051991635235026, -0.03205782766453922, 0.0986440282780677, 0.16085731983184814, 0.1304486677981913, 0.14927418330917136, -0.23823149846866726, -0.022235564759466798, 0.24528230295982212] |
709.0247 | Decay of the Mixed States | We study the classical escape from local minima for 2d multi-well Hamiltonian
systems, realizing the mixed state. We show that escape from such local minima
has a diversity of principally new features, representing an interesting topic
for conceptual understanding of chaotic dynamics and applications.
| nlin.CD | we study the classical escape from local minima for 2d multiwell hamiltonian systems realizing the mixed state we show that escape from such local minima has a diversity of principally new features representing an interesting topic for conceptual understanding of chaotic dynamics and applications | [['we', 'study', 'the', 'classical', 'escape', 'from', 'local', 'minima', 'for', '2d', 'multiwell', 'hamiltonian', 'systems', 'realizing', 'the', 'mixed', 'state', 'we', 'show', 'that', 'escape', 'from', 'such', 'local', 'minima', 'has', 'a', 'diversity', 'of', 'principally', 'new', 'features', 'representing', 'an', 'interesting', 'topic', 'for', 'conceptual', 'understanding', 'of', 'chaotic', 'dynamics', 'and', 'applications']] | [-0.1162899812175469, 0.09750208941543613, -0.1140610403381288, 0.0977713058871979, -0.012965282382951542, -0.1449310305337845, 0.009827897926284508, 0.30316124483942986, -0.3325572979255495, -0.26517343262887816, 0.049175443172729996, -0.2651441452326253, -0.24108082276176324, 0.2203885594128885, -0.05887162231374532, 0.02399234655736522, 0.07317792493003336, -0.01988397077233954, -0.06859519914194773, -0.17838791745122184, 0.2940258184469051, -0.0030745410106398845, 0.2452393923462792, 0.007144667335193266, 0.09724315433678302, 0.016565440021539955, 0.038845064943994985, 0.013632618949155916, -0.14817823248003234, 0.1514655945145271, 0.21932879056442867, 0.12640032353572844, 0.2787233173995363, -0.43825066690756515, -0.30011943234554067, 0.1456837022084404, 0.1503259576010433, 0.17707515584135597, -0.12196023695551875, -0.3003476756751876, 0.015854623475620014, -0.10608583301390437, -0.16430541578764943, -0.14177139202894812, 0.05771073301068761, 0.04744865861192176, -0.21675818286497484, 0.06846638248217377, 0.05637445968088948, 0.11959497550163757, -0.11227161060510711, -0.09040731151418929, -0.032290382141416725, 0.14202444106128745, -0.012562323192303831, -0.046633765000892294, 0.11432712158950215, -0.20230775559321046, -0.12308214978441935, 0.38101675716990774, -0.05399984246733683, -0.10682505044281822, 0.27773967340842565, -0.08569473661059006, -0.1591013950422745, 0.1571548138745129, 0.20279915730299597, 0.09596717424309728, -0.1281335981435735, 0.09440395595712206, -0.03996692072938789, 0.11245981603860855, 0.009967266370288351, 0.09788347468499771, 0.29818736897273496, 0.18885072722861712, 0.12132741544734348, 0.1306093136187304, -0.06896982008633627, -0.20893842036920515, -0.2626350260424343, -0.18011504936624656, -0.18581637143242088, 0.09247923257168043, -0.039461917275316824, -0.16873533511534333, 0.4687230975621126, 0.1601639727212552, 0.20860472266477617, 0.010605950030201877, 0.2464270063421943, 0.09849815163761377, -0.004175039950165559, 0.0586221961685541, 0.20881140476822938, 0.08434565634128045, 0.05335513349961151, -0.2278679989765144, 0.015713094267994165, 0.06486055742822248] |
709.0248 | Homotopy theoretic models of identity types | This paper presents a novel connection between homotopical algebra and
mathematical logic. It is shown that a form of intensional type theory is valid
in any Quillen model category, generalizing the Hofmann-Streicher groupoid
model of Martin-Loef type theory.
| math.LO math.AT math.CT | this paper presents a novel connection between homotopical algebra and mathematical logic it is shown that a form of intensional type theory is valid in any quillen model category generalizing the hofmannstreicher groupoid model of martinloef type theory | [['this', 'paper', 'presents', 'a', 'novel', 'connection', 'between', 'homotopical', 'algebra', 'and', 'mathematical', 'logic', 'it', 'is', 'shown', 'that', 'a', 'form', 'of', 'intensional', 'type', 'theory', 'is', 'valid', 'in', 'any', 'quillen', 'model', 'category', 'generalizing', 'the', 'hofmannstreicher', 'groupoid', 'model', 'of', 'martinloef', 'type', 'theory']] | [-0.1269084057059592, -0.0023588942414199984, -0.11713829452826365, 0.1424126484261423, -0.19071893605428772, -0.22856115300611063, 0.009605427722547305, 0.3038588830999829, -0.373936166584089, -0.19959000042463476, 0.005295369280124637, -0.1906242915177466, -0.2531551616014661, 0.12472364801057689, -0.24826288530351343, -0.10530489842986336, 0.03246187835906607, 0.08925272642030709, -0.060505455391280154, -0.1486785223053114, 0.41525872807471537, -0.0002873892316947112, 0.3129485656029066, 0.02009611814660398, 0.10785525465837202, -0.005190419763125278, 0.0032724787707667092, 0.03983769253701777, -0.11940373809212926, 0.1728313309643921, 0.3113768551800702, 0.13912439089570497, 0.24910680301852423, -0.4084018205065985, -0.1427211119868868, 0.10141811300874562, 0.07723889599327703, 0.07314924654122945, -0.03864480776561273, -0.2902077425371956, 0.08801969880791935, -0.3032766624378997, -0.11447331397416624, -0.06450892929491159, 0.10381876058071046, -0.06071006967308554, -0.23715406918042414, -0.011224680378831722, 0.1755451297739873, 0.13407953808436524, -0.08321900801682794, 0.006317579690870401, -0.014858784732987752, 0.02112949189000033, -0.060181584725206766, 0.06971028980773848, 0.06923069840146077, -0.036543689473104234, -0.16733247585393288, 0.3561122841830995, -0.024179305327502457, -0.22425958817208036, 0.14090693596045714, -0.07698148219669992, -0.21575419136599913, 0.04361251439597156, 0.002434846215151452, 0.1316060417810002, -0.14942124161265186, 0.24512487710170397, -0.1421281496012533, 0.1421986969338881, 0.05669738734896119, 0.017449534188238653, 0.17200739284020825, 0.24365386510318196, -0.018462537460633227, 0.11714607883697829, 0.09692053476700911, -0.13975661237900322, -0.39884598256164305, -0.19589819195302757, -0.050044210023573926, 0.09890302446847027, -0.08870685559884657, -0.2305283095409175, 0.38953673207150724, 0.19786010853744843, 0.08556898733651316, 0.21590632512360006, 0.22824246829023231, 0.08221080648159054, 0.04162025564929118, 0.008749004780642083, 0.14962543920941046, 0.30169194634701757, 0.06750393842623846, -0.029374157984715862, 0.05459314529985391, 0.2887158130383673] |
709.0249 | First-order phase transitions in two-dimensional off-lattice liquid
crystals | We consider an off-lattice liquid crystal pair potential in strictly two
dimensions. The potential is purely repulsive and short-ranged. Nevertheless,
by means of a single parameter in the potential, the system is shown to undergo
a first-order phase transition. The transition is studied using mean-field
density functional theory, and shown to be of the isotropic-to-nematic kind. In
addition, the theory predicts a large density gap between the two coexisting
phases. The first-order nature of the transition is confirmed using computer
simulation and finite-size scaling. Also presented is an analysis of the
interface between the coexisting domains, including estimates of the line
tension, as well as an investigation of anchoring effects.
| cond-mat.soft cond-mat.stat-mech | we consider an offlattice liquid crystal pair potential in strictly two dimensions the potential is purely repulsive and shortranged nevertheless by means of a single parameter in the potential the system is shown to undergo a firstorder phase transition the transition is studied using meanfield density functional theory and shown to be of the isotropictonematic kind in addition the theory predicts a large density gap between the two coexisting phases the firstorder nature of the transition is confirmed using computer simulation and finitesize scaling also presented is an analysis of the interface between the coexisting domains including estimates of the line tension as well as an investigation of anchoring effects | [['we', 'consider', 'an', 'offlattice', 'liquid', 'crystal', 'pair', 'potential', 'in', 'strictly', 'two', 'dimensions', 'the', 'potential', 'is', 'purely', 'repulsive', 'and', 'shortranged', 'nevertheless', 'by', 'means', 'of', 'a', 'single', 'parameter', 'in', 'the', 'potential', 'the', 'system', 'is', 'shown', 'to', 'undergo', 'a', 'firstorder', 'phase', 'transition', 'the', 'transition', 'is', 'studied', 'using', 'meanfield', 'density', 'functional', 'theory', 'and', 'shown', 'to', 'be', 'of', 'the', 'isotropictonematic', 'kind', 'in', 'addition', 'the', 'theory', 'predicts', 'a', 'large', 'density', 'gap', 'between', 'the', 'two', 'coexisting', 'phases', 'the', 'firstorder', 'nature', 'of', 'the', 'transition', 'is', 'confirmed', 'using', 'computer', 'simulation', 'and', 'finitesize', 'scaling', 'also', 'presented', 'is', 'an', 'analysis', 'of', 'the', 'interface', 'between', 'the', 'coexisting', 'domains', 'including', 'estimates', 'of', 'the', 'line', 'tension', 'as', 'well', 'as', 'an', 'investigation', 'of', 'anchoring', 'effects']] | [-0.15821718685037922, 0.14962719623885773, -0.10459555961530317, 0.03882319941714575, 0.00683097635099495, -0.12072074889544059, 0.04027356244411997, 0.33846366339447825, -0.2640291608192704, -0.29164720179343767, 0.05633640656649897, -0.30559662787074393, -0.19174244960939343, 0.11971183988604356, 0.05536897640505975, 0.04021320871331475, -0.039301824078641155, 0.015599701746197587, -0.08917378430170092, -0.14784840994239362, 0.32321747628633274, -0.0005189552818509666, 0.29618804536082527, 0.10911968807393516, 0.03203573662957007, -0.011169724232009189, 0.056759796223857184, 0.08484984715045853, -0.15987422782927752, 0.032705299886451523, 0.2189724092276513, -0.0031979665117846294, 0.24181065337563104, -0.4266649688001383, -0.2626674707386304, 0.07616129836956546, 0.13825793314238333, 0.12383338454899125, -0.08528064362471924, -0.30737822959199546, 0.0355026320099238, -0.178898548293827, -0.1507672969294204, -0.0794020693579858, -0.004965121807022528, 0.035885283308347095, -0.2641251997387206, 0.1176429956788938, 0.04259431614561684, 0.07191051289820197, -0.07888625943186608, -0.05796766576717015, -0.03658820664383133, 0.11354451249353588, 0.04346759509379891, 0.04161767172362571, 0.10460373451509937, -0.13699386534704402, -0.0995647006244822, 0.393620470056141, -0.049750229189257054, -0.157243343510411, 0.23581440457227557, -0.13152667705660198, -0.08492752968502992, 0.1590867416340519, 0.11393648692438464, 0.08947884472171691, -0.13777146400799128, 0.08695909119772048, 0.03617175147149034, 0.21925290815362877, 0.0063546453306282105, -0.029865379809317263, 0.21043237688189204, 0.2224732478741895, 0.04652875413779508, 0.18027027299183168, -0.0866968152123842, -0.19115560992028224, -0.30431257235732945, -0.163305832371539, -0.2228394146077335, -0.04536060929531231, -0.07453575604026397, -0.20262824726365083, 0.341048419052227, 0.09032850276615301, 0.18723258954811503, 0.005354283017699014, 0.23966975812800229, 0.14517924921079114, 0.027510290266945958, -0.011317192919721658, 0.27407184077998287, 0.16124460683839226, 0.0680508435449817, -0.24135094272734767, 0.048373193939385765, 0.06159631907939911] |
709.025 | Large-eddy simulation of the lid-driven cubic cavity flow by the
spectral element method | This paper presents the large-eddy simulation of the lid-driven cubic cavity
flow by the spectral element method (SEM) using the dynamic model. Two spectral
filtering techniques suitable for these simulations have been implemented.
Numerical results for Reynolds number $\text{Re}=12'000$ are showing very good
agreement with other experimental and DNS results found in the literature.
| physics.flu-dyn physics.comp-ph | this paper presents the largeeddy simulation of the liddriven cubic cavity flow by the spectral element method sem using the dynamic model two spectral filtering techniques suitable for these simulations have been implemented numerical results for reynolds number textre12000 are showing very good agreement with other experimental and dns results found in the literature | [['this', 'paper', 'presents', 'the', 'largeeddy', 'simulation', 'of', 'the', 'liddriven', 'cubic', 'cavity', 'flow', 'by', 'the', 'spectral', 'element', 'method', 'sem', 'using', 'the', 'dynamic', 'model', 'two', 'spectral', 'filtering', 'techniques', 'suitable', 'for', 'these', 'simulations', 'have', 'been', 'implemented', 'numerical', 'results', 'for', 'reynolds', 'number', 'textre12000', 'are', 'showing', 'very', 'good', 'agreement', 'with', 'other', 'experimental', 'and', 'dns', 'results', 'found', 'in', 'the', 'literature']] | [-0.10968894579113936, 0.014799177172189613, -0.09900572460215047, -0.004634228001243241, -0.028255024257133592, -0.1260183889348552, -0.057521649746153994, 0.43581098648455907, -0.21556181142563527, -0.37020529437599314, 0.11914450586290222, -0.2622871366593073, -0.12953716892538206, 0.3160475580294107, -0.007846475139541446, 0.1984510485979043, 0.17387099270620998, -0.05062208862377787, -0.018959690059451736, -0.21339372040282162, 0.26619956755729496, 0.07681654766201973, 0.3215649444258438, 0.032602874592895494, 0.047820423395847377, -0.08758831470501872, -0.09103886811238415, 0.1193663361745904, -0.21232717876533433, 0.09339504328749652, 0.27343506062456036, 0.01939852115311572, 0.261114594965892, -0.44856792969523734, -0.27545504539080384, -0.009670386372028657, 0.1758330021106269, 0.10660989234610549, -0.15204586188818486, -0.22877769562292774, 0.14949821283654222, -0.20054409041438462, -0.0868458445359654, -0.12240868392136861, -0.09421287559605432, 0.08665548225443037, -0.2805634604872398, 0.11021273249303395, -0.022563368152335006, 0.12598832960258116, -0.02039991166302056, -0.13428827984926273, 0.01577457229448658, 0.1032696261690086, 0.04504818549898084, -0.0372232531750891, 0.06915016967873529, -0.0778134037643882, -0.10986898783242928, 0.37709293008412953, -0.029278610955994083, -0.19787668356592855, 0.23234573161264635, -0.09737315658866516, -0.09822940777214069, 0.15167040702939596, 0.09165625815402786, 0.10951230676739283, -0.11499299493811603, 0.03134202067015411, -0.13256558733728696, 0.19396397981019514, 0.0408670022679528, -0.06781611152397983, 0.10621042848336247, 0.19903610990259726, -0.0397833597819971, 0.1174433476671594, -0.121486745497985, -0.1270877306551655, -0.2641076829354718, -0.09323239286939772, -0.18311677050759206, -0.0708511521741045, -0.13010024170381376, -0.14169464602996157, 0.3703024401241597, 0.17715242606991866, 0.1354093673586283, 0.05801506242099798, 0.36521617182583177, 0.10188326200048597, 0.0001871598849319062, 0.07526346513966345, 0.25870714745405216, 0.1560861428294612, 0.1720647771473763, -0.25694803466343863, 0.005868621956873333, 0.09152919770974033] |
709.0251 | Femtosecond Photoionization of Atoms under Noise | We investigate the effect of incoherent perturbations on atomic
photoionization due to a femtosecond mid-infrared laser pulse by solving the
time-dependent stochastic Schr\"odinger equation. For a weak laser pulse which
causes almost no ionization, an addition of a Gaussian white noise to the pulse
leads to a significantly enhanced ionization probability. Tuning the noise
level, a stochastic resonance-like curve is observed showing the existence of
an optimum noise for a given laser pulse. Besides studying the sensitivity of
the obtained enhancement curve on the pulse parameters, such as the pulse
duration and peak amplitude, we suggest that experimentally realizable
broadband chaotic light can also be used instead of the white noise to observe
similar features. The underlying enhancement mechanism is analyzed in the
frequency-domain by computing a frequency-resolved atomic gain profile, as well
as in the time-domain by controlling the relative delay between the action of
the laser pulse and noise.
| quant-ph | we investigate the effect of incoherent perturbations on atomic photoionization due to a femtosecond midinfrared laser pulse by solving the timedependent stochastic schrodinger equation for a weak laser pulse which causes almost no ionization an addition of a gaussian white noise to the pulse leads to a significantly enhanced ionization probability tuning the noise level a stochastic resonancelike curve is observed showing the existence of an optimum noise for a given laser pulse besides studying the sensitivity of the obtained enhancement curve on the pulse parameters such as the pulse duration and peak amplitude we suggest that experimentally realizable broadband chaotic light can also be used instead of the white noise to observe similar features the underlying enhancement mechanism is analyzed in the frequencydomain by computing a frequencyresolved atomic gain profile as well as in the timedomain by controlling the relative delay between the action of the laser pulse and noise | [['we', 'investigate', 'the', 'effect', 'of', 'incoherent', 'perturbations', 'on', 'atomic', 'photoionization', 'due', 'to', 'a', 'femtosecond', 'midinfrared', 'laser', 'pulse', 'by', 'solving', 'the', 'timedependent', 'stochastic', 'schrodinger', 'equation', 'for', 'a', 'weak', 'laser', 'pulse', 'which', 'causes', 'almost', 'no', 'ionization', 'an', 'addition', 'of', 'a', 'gaussian', 'white', 'noise', 'to', 'the', 'pulse', 'leads', 'to', 'a', 'significantly', 'enhanced', 'ionization', 'probability', 'tuning', 'the', 'noise', 'level', 'a', 'stochastic', 'resonancelike', 'curve', 'is', 'observed', 'showing', 'the', 'existence', 'of', 'an', 'optimum', 'noise', 'for', 'a', 'given', 'laser', 'pulse', 'besides', 'studying', 'the', 'sensitivity', 'of', 'the', 'obtained', 'enhancement', 'curve', 'on', 'the', 'pulse', 'parameters', 'such', 'as', 'the', 'pulse', 'duration', 'and', 'peak', 'amplitude', 'we', 'suggest', 'that', 'experimentally', 'realizable', 'broadband', 'chaotic', 'light', 'can', 'also', 'be', 'used', 'instead', 'of', 'the', 'white', 'noise', 'to', 'observe', 'similar', 'features', 'the', 'underlying', 'enhancement', 'mechanism', 'is', 'analyzed', 'in', 'the', 'frequencydomain', 'by', 'computing', 'a', 'frequencyresolved', 'atomic', 'gain', 'profile', 'as', 'well', 'as', 'in', 'the', 'timedomain', 'by', 'controlling', 'the', 'relative', 'delay', 'between', 'the', 'action', 'of', 'the', 'laser', 'pulse', 'and', 'noise']] | [-0.12055926374313945, 0.14681147744964704, -0.0989112320991344, 0.09103475700191142, -0.013886929976920419, -0.13208186607006073, 0.06734071978111905, 0.44334467288896146, -0.27078167140015114, -0.2938024013099686, 0.0380376949459191, -0.23087963139767825, -0.1386063206595498, 0.2572739898560211, -0.06145011408821933, 0.05982396195624147, 0.034785998023010245, -0.022275786619442236, -0.031926356537409425, -0.16538681875951342, 0.27923459644484894, 0.11571849241007785, 0.2672378160244483, 0.0013898919237814596, 0.1340589930830733, 0.0008279227725668064, -0.009053354154630804, -0.052667804588162836, -0.08740127808053011, 0.0480803400964248, 0.20479523908338795, 0.036946204179490835, 0.24332425545358302, -0.40078035356254865, -0.2852032168063687, 0.0825864933770372, 0.12950727876409926, 0.14619422113347108, -0.07470320415797194, -0.3016584280828964, 0.026862447320819764, -0.12372825713057244, -0.12969009935954548, -0.02466317918151617, 0.022439709380392404, 0.10756161628870775, -0.2925648096477033, 0.03632156286733256, 0.07118744237776514, 0.03244663973567107, -0.04411759021975692, -0.027432451043154626, -0.006056979435051958, 0.03658902334875816, 0.002550062663322746, 0.03976149755990324, 0.19240309923134793, -0.14902216855772704, -0.07794098445331517, 0.3567683980283667, -0.17808088678666176, -0.10588560405762447, 0.09360423723516356, -0.14702360769918818, -0.0017332470365214031, 0.2212677585818367, 0.12707050444962248, 0.08394839508236934, -0.1387799724085343, 0.001183231767507529, 0.04323032988229187, 0.2655334830136094, 0.14733951458004335, 0.10549880237247647, 0.16989983256909355, 0.1754818210834699, 0.07321444567946704, 0.16113447366877526, -0.15088955689042757, -0.05225290936905126, -0.26691238677116813, -0.05527493272544138, -0.16256334814582243, 0.08815945116556342, -0.08015225267185003, -0.1443708673958352, 0.45987184454273705, 0.13183999355475337, 0.1689571528402558, -0.02870247621067633, 0.32949196288226457, 0.2408046201927686, -0.01944835339395317, 0.003879684059023364, 0.2587011994960539, 0.16861463056118628, 0.09749294667572572, -0.327449655055457, 0.07339454380123081, -0.02938440355120708] |
709.0252 | Asymptotic analysis of the Bell polynomials by the ray method | We analyze the Bell polynomials $B_{n}(x)$ asymptotically as $n\to\infty$. We
obtain asymptotic approximations from the differential-difference equation
which they satisfy, using a discrete version of the ray method. We give some
examples showing the accuracy of our formulas.
| math.CA | we analyze the bell polynomials b_nx asymptotically as ntoinfty we obtain asymptotic approximations from the differentialdifference equation which they satisfy using a discrete version of the ray method we give some examples showing the accuracy of our formulas | [['we', 'analyze', 'the', 'bell', 'polynomials', 'b_nx', 'asymptotically', 'as', 'ntoinfty', 'we', 'obtain', 'asymptotic', 'approximations', 'from', 'the', 'differentialdifference', 'equation', 'which', 'they', 'satisfy', 'using', 'a', 'discrete', 'version', 'of', 'the', 'ray', 'method', 'we', 'give', 'some', 'examples', 'showing', 'the', 'accuracy', 'of', 'our', 'formulas']] | [-0.09592497365941342, 0.007566594494212615, -0.14463812899530717, 0.1469746576499586, -0.049365084324228134, -0.12828503462093832, 0.06694026823204599, 0.33263771052129176, -0.24553460133239768, -0.2523432974948695, 0.12594321297824776, -0.3030755655153802, -0.19046555905553855, 0.23055664153377475, -0.08948489485460175, 0.09497993782554802, 0.06559946566918179, 0.05628925856006773, -0.10394576463027318, -0.31311045258649084, 0.25054524848727805, -0.0026607234521131766, 0.19599921780785448, -0.017240182214759682, 0.16178051677630528, -0.04107927084949456, -0.010833433559654574, -0.05067039776201311, -0.23703103709818893, 0.061635283532699474, 0.24145746875039645, 0.14142136457131096, 0.22055112266618954, -0.38023408512143714, -0.090790839780024, 0.15825840588322057, 0.18467348408395132, 0.1376281072918669, -0.024977673384311953, -0.32654561592560066, 0.05751864376821016, -0.18022870126572488, -0.22543152532001076, -0.16323962807655334, -0.11318729317894108, 0.15790867261392505, -0.2894899911296211, 0.08117789490221951, 0.11495228158310056, 0.032848996526904796, -0.05296938356906666, -0.12133808323721353, 0.05382389423903078, 0.057585111745682205, 0.03254114831552694, -0.0897241274850737, 0.005460692422562524, -0.04948643925844839, -0.11550111683869832, 0.34703725762588683, -0.06244852233334983, -0.30179797817560794, 0.09703674535021971, -0.13449792666850904, -0.19718898976172664, 0.05211328509214677, 0.13986746954584592, 0.16027760294903265, -0.08019628066961702, 0.1392724290122523, -0.11650336622015427, 0.0817164407650891, 0.15651063694569625, 0.05382343433111122, 0.05527002761434568, 0.04128529673050109, 0.0530298641441684, 0.20802967751545734, 0.0003204874565677815, -0.06801646541019804, -0.41354511163540575, -0.17587805981747806, -0.17952050146107612, 0.1332842335350027, -0.18452408061803957, -0.19755215739439191, 0.36723288217265354, 0.13810198724662004, 0.15927251764132003, 0.19005562924154984, 0.20273938265285993, 0.2196371972830476, -0.04479181082723172, 0.1384108289586086, 0.15161144741164448, 0.2081164444894775, 0.08602070967715822, -0.16300116373397605, 0.02075902230449413, 0.23483382062496325] |
709.0253 | Neutrino Mass, Dark Energy, and the Linear Growth Factor | We study the degeneracies between neutrino mass and dark energy as they
manifest themselves in cosmological observations. In contradiction to a popular
formula in the literature, the suppression of the matter power spectrum caused
by massive neutrinos is not just a function of the ratio of neutrino to total
mass densities f_nu=Omega_nu/Omega_m, but also each of the densities
independently. We also present a fitting formula for the logarithmic growth
factor of perturbations in a flat universe, f(z, k;f_nu,w,Omega_DE)=
(1-A(k)*Omega_DE*f_nu+B(k)*f_nu^2-C(k)*f_nu^3)*Omega_m(z)^alpha, where alpha
depends on the dark energy equation of state parameter w. We then discuss
cosmological probes where the f factor directly appears: peculiar velocities,
redshift distortion and the Intergrated Sachs-Wolfe effect. We also modify the
approximation of Eisenstein & Hu (1999) for the power spectrum of fluctuations
in the presence of massive neutrinos and provide a revised code
(http://www.star.ucl.ac.uk/~lahav/nu_matter_power.f)
| astro-ph | we study the degeneracies between neutrino mass and dark energy as they manifest themselves in cosmological observations in contradiction to a popular formula in the literature the suppression of the matter power spectrum caused by massive neutrinos is not just a function of the ratio of neutrino to total mass densities f_nuomega_nuomega_m but also each of the densities independently we also present a fitting formula for the logarithmic growth factor of perturbations in a flat universe fz kf_nuwomega_de 1akomega_def_nubkf_nu2ckf_nu3omega_mzalpha where alpha depends on the dark energy equation of state parameter w we then discuss cosmological probes where the f factor directly appears peculiar velocities redshift distortion and the intergrated sachswolfe effect we also modify the approximation of eisenstein hu 1999 for the power spectrum of fluctuations in the presence of massive neutrinos and provide a revised code httpwwwstaruclacuklahavnu_matter_powerf | [['we', 'study', 'the', 'degeneracies', 'between', 'neutrino', 'mass', 'and', 'dark', 'energy', 'as', 'they', 'manifest', 'themselves', 'in', 'cosmological', 'observations', 'in', 'contradiction', 'to', 'a', 'popular', 'formula', 'in', 'the', 'literature', 'the', 'suppression', 'of', 'the', 'matter', 'power', 'spectrum', 'caused', 'by', 'massive', 'neutrinos', 'is', 'not', 'just', 'a', 'function', 'of', 'the', 'ratio', 'of', 'neutrino', 'to', 'total', 'mass', 'densities', 'f_nuomega_nuomega_m', 'but', 'also', 'each', 'of', 'the', 'densities', 'independently', 'we', 'also', 'present', 'a', 'fitting', 'formula', 'for', 'the', 'logarithmic', 'growth', 'factor', 'of', 'perturbations', 'in', 'a', 'flat', 'universe', 'fz', 'kf_nuwomega_de', '1akomega_def_nubkf_nu2ckf_nu3omega_mzalpha', 'where', 'alpha', 'depends', 'on', 'the', 'dark', 'energy', 'equation', 'of', 'state', 'parameter', 'w', 'we', 'then', 'discuss', 'cosmological', 'probes', 'where', 'the', 'f', 'factor', 'directly', 'appears', 'peculiar', 'velocities', 'redshift', 'distortion', 'and', 'the', 'intergrated', 'sachswolfe', 'effect', 'we', 'also', 'modify', 'the', 'approximation', 'of', 'eisenstein', 'hu', '1999', 'for', 'the', 'power', 'spectrum', 'of', 'fluctuations', 'in', 'the', 'presence', 'of', 'massive', 'neutrinos', 'and', 'provide', 'a', 'revised', 'code', 'httpwwwstaruclacuklahavnu_matter_powerf']] | [-0.14127617316674998, 0.131331206688574, -0.08951009929513754, 0.13057765348400893, -0.07672947559700306, -0.09062318024642543, 0.030256496411583164, 0.2992296695271368, -0.22968837017985755, -0.3360628122559387, 0.027722833802360597, -0.27096913635397135, -0.06251062939652423, 0.16220079237289392, 0.005194263626585033, -0.008741539100240638, -0.015027264303374869, 0.010340386451049986, -0.08148799887621591, -0.25365922345654734, 0.34441797665681745, 0.13962011646006756, 0.2146013053759599, 0.03366510384132279, 0.07907272921180103, -0.0442882982332871, -0.07204827224946957, -0.011209632899028375, -0.1971672808459557, 0.024238453058998532, 0.1691063506733548, 0.10215411154177985, 0.20525343052403472, -0.3539416706745527, -0.20588929903234787, 0.1609433506330503, 0.16047966259934787, 0.0933853019586653, -0.06622934427004613, -0.24589166115472483, 0.027838790712794707, -0.20004159309414785, -0.15089025462755182, -3.540825497084506e-05, 0.019180902377215783, 0.007808646178064145, -0.26372253150442865, 0.19009675402580864, -0.0052029882860022475, -0.04238199110406993, -0.08248913830750858, -0.11958381156228594, -0.0431893123452788, 0.04741366680558604, 0.1028176203644626, -0.007296142486313275, 0.13611478015168835, -0.1809756354317625, -0.031010725983738233, 0.39267591328652046, -0.1281248100984619, -0.14308459010086397, 0.10244463540877757, -0.19120413031248348, -0.1593135843998683, 0.10538765357689125, 0.17023186090716366, 0.07719574620384279, -0.12052330398348285, 0.13264089193996112, -0.020433281881929333, 0.18588373365589597, 0.07940438065248709, 0.05673170625927177, 0.2618092381649081, 0.09252796155303272, 0.046559021186166956, 0.05738875674042128, -0.1083197172317626, -0.007909157970197388, -0.32297030621931067, -0.13692001833358028, -0.17218283178031082, 0.07992008538517507, -0.12307526623978325, -0.1545790252154137, 0.39602404319917534, 0.10300195432587791, 0.22678509159291635, 0.03737048450648896, 0.30446841603026853, 0.15156193001720525, 0.05196262386613595, 0.08744608256062354, 0.2772295132223795, 0.16409593676008397, 0.09317384936513184, -0.24051488770880916, 0.005882810811692877, 0.042498391401370184] |
709.0254 | Tidal waves as yrast states in transitional nuclei | The yrast states of transitional nuclei are described as quadrupole waves
running over the nuclear surface, which we call tidal waves. In contrast to a
rotor, which generates angular momentum by increasing the angular velocity at
approximately constant deformation, a tidal wave generates angular momentum by
increasing the deformation at approximately constant angular velocity. The
properties of the tidal waves are calculated by means of the cranking model in
a microscopic way. The calculated energies and E2 transition probabilities of
the yrast states in the transitional nuclides with $Z$= 44, 46, 48 and $N=56,
58, ..., 66$ reproduce the experiment in detail. The nonlinear response of the
nucleonic orbitals results in a strong coupling between shape and single
particle degrees of freedom.
| nucl-th | the yrast states of transitional nuclei are described as quadrupole waves running over the nuclear surface which we call tidal waves in contrast to a rotor which generates angular momentum by increasing the angular velocity at approximately constant deformation a tidal wave generates angular momentum by increasing the deformation at approximately constant angular velocity the properties of the tidal waves are calculated by means of the cranking model in a microscopic way the calculated energies and e2 transition probabilities of the yrast states in the transitional nuclides with z 44 46 48 and n56 58 66 reproduce the experiment in detail the nonlinear response of the nucleonic orbitals results in a strong coupling between shape and single particle degrees of freedom | [['the', 'yrast', 'states', 'of', 'transitional', 'nuclei', 'are', 'described', 'as', 'quadrupole', 'waves', 'running', 'over', 'the', 'nuclear', 'surface', 'which', 'we', 'call', 'tidal', 'waves', 'in', 'contrast', 'to', 'a', 'rotor', 'which', 'generates', 'angular', 'momentum', 'by', 'increasing', 'the', 'angular', 'velocity', 'at', 'approximately', 'constant', 'deformation', 'a', 'tidal', 'wave', 'generates', 'angular', 'momentum', 'by', 'increasing', 'the', 'deformation', 'at', 'approximately', 'constant', 'angular', 'velocity', 'the', 'properties', 'of', 'the', 'tidal', 'waves', 'are', 'calculated', 'by', 'means', 'of', 'the', 'cranking', 'model', 'in', 'a', 'microscopic', 'way', 'the', 'calculated', 'energies', 'and', 'e2', 'transition', 'probabilities', 'of', 'the', 'yrast', 'states', 'in', 'the', 'transitional', 'nuclides', 'with', 'z', '44', '46', '48', 'and', 'n56', '58', '66', 'reproduce', 'the', 'experiment', 'in', 'detail', 'the', 'nonlinear', 'response', 'of', 'the', 'nucleonic', 'orbitals', 'results', 'in', 'a', 'strong', 'coupling', 'between', 'shape', 'and', 'single', 'particle', 'degrees', 'of', 'freedom']] | [-0.14293759820760565, 0.23237847173124676, -0.028075906990696328, 0.0628732588730968, -0.008786652960683688, -0.05629373426464471, 0.015086722423607283, 0.33205298469825223, -0.21406637062511044, -0.3301446317456478, -0.048059675976858195, -0.2956687287496757, -0.05077161351855015, 0.14722555689802316, 0.08266403269761603, 0.03733740305173988, 0.014991604438251701, 0.01662063404671417, -0.09636445993495997, -0.11531774971195427, 0.26793809492941484, 0.10913403241602658, 0.20663105434745796, 0.0038892951378337115, 0.11194316928913771, 0.004156851321304879, 0.019587444911195226, -0.020230263094456236, -0.1554120575454979, 0.04737503303518934, 0.22718847392334734, 0.0033795791254802184, 0.202881457311032, -0.3902475841512734, -0.16076222897222467, 0.010022555399024167, 0.14938919107652893, 0.1464643294649768, -0.02248001466736136, -0.28823012342168525, -0.011187990939534825, -0.2145331579006531, -0.2034392474288475, -0.07405549134628094, 0.09503383313359554, 0.07685752933814137, -0.21514235038987614, 0.14606585607225123, 0.03746965194259547, 0.07634295237612379, -0.13535408725700349, -0.15392242813836937, -0.11238091616806659, 0.014544022481211206, 0.08608172290423531, 0.06948670114906243, 0.18507969602249746, -0.1286049767249179, -0.07146077130128406, 0.39982603982953, -0.04600177390870353, -0.16998722229137525, 0.12164087587013102, -0.21309006104461295, -0.0755462330642872, 0.22281172754212228, 0.1513250014737002, 0.09055490858760501, -0.10307107828095678, 0.05290244715073009, 0.007577736119375071, 0.17400483575780407, 0.11583719197044934, 0.0582632471553304, 0.2688131242266987, 0.10329524426112983, -0.021701374537627067, 0.07050750310117117, -0.19190314366320563, -0.10932209877843761, -0.29196707258955384, -0.08792371411561535, -0.19502766604327465, 0.03848715589902737, -0.09563312320722256, -0.0831826193535254, 0.4350686306480226, 0.02133750267353771, 0.22975722009177543, 0.028217698711024457, 0.2302851670360085, 0.11175760161805097, 0.0824484320026476, 0.10669152245448887, 0.34092802632107466, 0.19957242302465722, 0.07474859788040207, -0.3038760680967003, 0.014912273049785579, 0.011048875329631173] |
709.0255 | Exclusive J/psi and Upsilon hadroproduction as a probe of the QCD
Odderon | We study the exclusive production of J/psi or Upsilon in pp and bar pp
collisions, where the meson emerges from the pomeron--odderon and the
pomeron--photon fusion. We estimate the cross sections for these processes for
the kinematical conditions of the Tevatron and of the LHC.
| hep-ph | we study the exclusive production of jpsi or upsilon in pp and bar pp collisions where the meson emerges from the pomeronodderon and the pomeronphoton fusion we estimate the cross sections for these processes for the kinematical conditions of the tevatron and of the lhc | [['we', 'study', 'the', 'exclusive', 'production', 'of', 'jpsi', 'or', 'upsilon', 'in', 'pp', 'and', 'bar', 'pp', 'collisions', 'where', 'the', 'meson', 'emerges', 'from', 'the', 'pomeronodderon', 'and', 'the', 'pomeronphoton', 'fusion', 'we', 'estimate', 'the', 'cross', 'sections', 'for', 'these', 'processes', 'for', 'the', 'kinematical', 'conditions', 'of', 'the', 'tevatron', 'and', 'of', 'the', 'lhc']] | [-0.017366628773096533, 0.1904891699138615, -0.1623586906120181, 0.13732820629245704, 0.037829966051504016, -0.04969649975084596, 0.0102945478943487, 0.2738360855624907, -0.21960303179091878, -0.1502610017442041, -0.07195103678904059, -0.3520665365995632, 0.057357985235285014, 0.11689448298162056, 0.11668033744725916, 0.1589179473204745, 0.13738055808676614, 0.02112228785538011, 0.007938412804570463, -0.20586721727417576, 0.3608172859168715, 0.029733070441418225, 0.16092218841529554, 0.21727227843883964, 0.015040532323635288, 0.13564916170305677, -0.07825365349417553, -0.08852162737813261, -0.16446250712292063, 0.07758666808367706, 0.2905451753901111, 0.13623153254803683, 0.0486211652143134, -0.34910251715530954, 0.0019407195349534353, 0.1578672955950929, 0.11737900266630782, 0.08695807465248638, -0.029901172934720912, -0.3089717282189263, 0.17096553160291578, -0.25168163009608785, -0.03625501808192995, 0.010209079935318895, 0.04132339236223036, -0.02629873459227383, -0.40171928455432254, 0.0771867460053828, -0.026333061895436712, 0.08907566137301424, -0.07439475956165956, -0.22123282704916264, -0.1135450387890968, 0.0011986028040862746, 0.09905063587551316, 0.06795066979506778, 0.2165961582834522, -0.22652652990331668, -0.2373237020853493, 0.4049222050441636, 0.024160342715266677, -0.11620796713978052, 0.2368943401405381, -0.24058283273544576, -0.12972745220176876, 0.10067631771994962, 0.33748939716153675, 0.07240842866400878, -0.2038659806466765, 0.12485139232982571, 0.015043371667464575, 0.07208552455219129, 0.13127756516138714, 0.08638995818069412, 0.05442921611182909, 0.21382498269279798, -0.05408561049650113, 0.04215188336869081, -0.16726556710071033, -0.09286319505837229, -0.5274316377109951, -0.1760429020350178, 0.03120923414826393, 0.06776615019059844, -0.018150355055372023, -0.020525079717238746, 0.32322784851615627, 0.052027977858152656, 0.3960964653227064, -0.030755774268052646, 0.3151803820911381, 0.12708601307951742, 0.02325070510721869, 0.10153236931396856, 0.3419854092929098, 0.20243596987177928, 0.19222719489286344, -0.26618811911903323, 0.055111388520648084, 0.028666326672666602] |
709.0256 | Magnetic fields in massive star forming regions | We present the largest sample of high-mass star-forming regions observed
using submillimetre imaging polarimetry. The data were taken using SCUBA in
conjunction with the polarimeter on the JCMT in Hawaii. In total, 16 star
forming regions were observed, although some of these contain multiple cores.
The polarimetry implies a variety of magnetic field morphologies, with some
very ordered fields. We see a decrease in polarisation percentage for 7 of the
cores. The magnetic field strengths estimated for 14 of the cores, using the
corrected CF method, range from <0.1 mG to almost 6 mG. These magnetic fields
are weaker on these large scales when compared to previous Zeeman measurements
from maser emission, implying the role of the magnetic field in star formation
increases in importance on smaller scales. Analysis of the alignment of the
mean field direction and the outflow directions reveal no relation for the
whole sample, although direct comparison of the polarimetry maps suggests good
alignment (to at least one outflow direction per source) in 7 out of the 15
sources with outflows.
| astro-ph | we present the largest sample of highmass starforming regions observed using submillimetre imaging polarimetry the data were taken using scuba in conjunction with the polarimeter on the jcmt in hawaii in total 16 star forming regions were observed although some of these contain multiple cores the polarimetry implies a variety of magnetic field morphologies with some very ordered fields we see a decrease in polarisation percentage for 7 of the cores the magnetic field strengths estimated for 14 of the cores using the corrected cf method range from 01 mg to almost 6 mg these magnetic fields are weaker on these large scales when compared to previous zeeman measurements from maser emission implying the role of the magnetic field in star formation increases in importance on smaller scales analysis of the alignment of the mean field direction and the outflow directions reveal no relation for the whole sample although direct comparison of the polarimetry maps suggests good alignment to at least one outflow direction per source in 7 out of the 15 sources with outflows | [['we', 'present', 'the', 'largest', 'sample', 'of', 'highmass', 'starforming', 'regions', 'observed', 'using', 'submillimetre', 'imaging', 'polarimetry', 'the', 'data', 'were', 'taken', 'using', 'scuba', 'in', 'conjunction', 'with', 'the', 'polarimeter', 'on', 'the', 'jcmt', 'in', 'hawaii', 'in', 'total', '16', 'star', 'forming', 'regions', 'were', 'observed', 'although', 'some', 'of', 'these', 'contain', 'multiple', 'cores', 'the', 'polarimetry', 'implies', 'a', 'variety', 'of', 'magnetic', 'field', 'morphologies', 'with', 'some', 'very', 'ordered', 'fields', 'we', 'see', 'a', 'decrease', 'in', 'polarisation', 'percentage', 'for', '7', 'of', 'the', 'cores', 'the', 'magnetic', 'field', 'strengths', 'estimated', 'for', '14', 'of', 'the', 'cores', 'using', 'the', 'corrected', 'cf', 'method', 'range', 'from', '01', 'mg', 'to', 'almost', '6', 'mg', 'these', 'magnetic', 'fields', 'are', 'weaker', 'on', 'these', 'large', 'scales', 'when', 'compared', 'to', 'previous', 'zeeman', 'measurements', 'from', 'maser', 'emission', 'implying', 'the', 'role', 'of', 'the', 'magnetic', 'field', 'in', 'star', 'formation', 'increases', 'in', 'importance', 'on', 'smaller', 'scales', 'analysis', 'of', 'the', 'alignment', 'of', 'the', 'mean', 'field', 'direction', 'and', 'the', 'outflow', 'directions', 'reveal', 'no', 'relation', 'for', 'the', 'whole', 'sample', 'although', 'direct', 'comparison', 'of', 'the', 'polarimetry', 'maps', 'suggests', 'good', 'alignment', 'to', 'at', 'least', 'one', 'outflow', 'direction', 'per', 'source', 'in', '7', 'out', 'of', 'the', '15', 'sources', 'with', 'outflows']] | [-0.11701349794066378, 0.09189688376949302, -0.002830565594402807, 0.05887587231716939, -0.03928000112729413, -0.04052428974104779, 0.00964830227861447, 0.4477059923325266, -0.18124930818698237, -0.3953032291574138, 0.07050019216657218, -0.27859390452504157, -0.008672245453510965, 0.21142753431839603, 0.04441068153828383, -0.05358613989207827, 0.05331187041742461, -0.05069291779638401, -0.04549132086336613, -0.23973071490693007, 0.2933830370062164, 0.06485272261846278, 0.23468964606257423, -0.0027766934921965004, 0.06688517402458403, -0.0736378588723684, -0.08367230245710483, 0.0530703996441194, -0.10828785431970443, 0.05942909907017435, 0.22136358354373703, 0.08743637421567525, 0.21322447911969253, -0.378066332669779, -0.19881364670648638, 0.052680658958852294, 0.14778953597747854, 0.0644822030674134, -0.04948725644964725, -0.25888658247888086, 0.07898194959985891, -0.08666554153580884, -0.12932026657674994, 0.0416248203601156, 0.010575098086680685, 0.05241254996774452, -0.23064392069354653, 0.11107283977558836, -0.004648795369347291, 0.15741232926824264, -0.13589576762701783, -0.1737659837199109, -0.047274808931563585, 0.0857493919900818, 0.01786245205040489, 0.12953596236716425, 0.1595834619525288, -0.15465467843360134, -0.06746622942388057, 0.3494611483386585, -0.07839318136152412, -0.06068676678197724, 0.2119065312469112, -0.267256599736533, -0.1940191497908901, 0.20875117975686278, 0.16053474791663966, 0.12661782566191895, -0.09431820246166484, -0.01793001015836905, -0.015050409806094, 0.21018504264897533, 0.064051488861109, 0.060262492008374205, 0.27678908683891806, 0.10750973977547672, 0.05650145799719861, 0.14629450839278954, -0.25591104383181246, -0.0651341634030853, -0.2661066618857772, -0.12439584365380661, -0.13774082868226936, 0.06891907084267586, -0.1314557755010901, -0.08852539137238637, 0.32196707284344095, 0.14800225784403406, 0.19933013052945692, 0.0014288187000368322, 0.2569263257299151, 0.04971354673150927, 0.16175507182521479, 0.09752077133527824, 0.33121344747454196, 0.20046516223544522, 0.13961035176912057, -0.22024074177390762, 0.025719915138823646, -0.03672282600376223] |
709.0257 | D-branes in T-fold conformal field theory | We investigate boundary dynamics of orbifold conformal field theory involving
T-duality twists. Such models typically appear in contexts of non-geometric
string compactifications that are called monodrofolds or T-folds in recent
literature. We use the framework of boundary conformal field theory to analyse
the models from a microscopic world-sheet perspective. In these backgrounds
there are two kinds of D-branes that are analogous to bulk and fractional
branes in standard orbifold models. The bulk D-branes in T-folds allow
intuitive geometrical interpretations and are consistent with the classical
analysis based on the doubled torus formalism. The fractional branes, on the
other hand, are `non-geometric' at any point in the moduli space and their
geometric counterparts seem to be missing in the doubled torus analysis. We
compute cylinder amplitudes between the bulk and fractional branes, and find
that the lightest modes of the open string spectra show intriguing non-linear
dependence on the moduli (location of the brane or value of the Wilson line),
suggesting that the physics of T-folds, when D-branes are involved, could
deviate from geometric backgrounds even at low energies. We also extend our
analysis to the models with SU(2) WZW fibre at arbitrary levels.
| hep-th | we investigate boundary dynamics of orbifold conformal field theory involving tduality twists such models typically appear in contexts of nongeometric string compactifications that are called monodrofolds or tfolds in recent literature we use the framework of boundary conformal field theory to analyse the models from a microscopic worldsheet perspective in these backgrounds there are two kinds of dbranes that are analogous to bulk and fractional branes in standard orbifold models the bulk dbranes in tfolds allow intuitive geometrical interpretations and are consistent with the classical analysis based on the doubled torus formalism the fractional branes on the other hand are nongeometric at any point in the moduli space and their geometric counterparts seem to be missing in the doubled torus analysis we compute cylinder amplitudes between the bulk and fractional branes and find that the lightest modes of the open string spectra show intriguing nonlinear dependence on the moduli location of the brane or value of the wilson line suggesting that the physics of tfolds when dbranes are involved could deviate from geometric backgrounds even at low energies we also extend our analysis to the models with su2 wzw fibre at arbitrary levels | [['we', 'investigate', 'boundary', 'dynamics', 'of', 'orbifold', 'conformal', 'field', 'theory', 'involving', 'tduality', 'twists', 'such', 'models', 'typically', 'appear', 'in', 'contexts', 'of', 'nongeometric', 'string', 'compactifications', 'that', 'are', 'called', 'monodrofolds', 'or', 'tfolds', 'in', 'recent', 'literature', 'we', 'use', 'the', 'framework', 'of', 'boundary', 'conformal', 'field', 'theory', 'to', 'analyse', 'the', 'models', 'from', 'a', 'microscopic', 'worldsheet', 'perspective', 'in', 'these', 'backgrounds', 'there', 'are', 'two', 'kinds', 'of', 'dbranes', 'that', 'are', 'analogous', 'to', 'bulk', 'and', 'fractional', 'branes', 'in', 'standard', 'orbifold', 'models', 'the', 'bulk', 'dbranes', 'in', 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709.0258 | Networks of Polynomial Pieces with Application to the Analysis of Point
Clouds and Images | We consider Holder smoothness classes of surfaces for which we construct
piecewise polynomial approximation networks, which are graphs with polynomial
pieces as nodes and edges between polynomial pieces that are in `good
continuation' of each other. Little known to the community, a similar
construction was used by Kolmogorov and Tikhomirov in their proof of their
celebrated entropy results for Holder classes.
We show how to use such networks in the context of detecting geometric
objects buried in noise to approximate the scan statistic, yielding an
optimization problem akin to the Traveling Salesman. In the same context, we
describe an alternative approach based on computing the longest path in the
network after appropriate thresholding.
For the special case of curves, we also formalize the notion of `good
continuation' between beamlets in any dimension, obtaining more economical
piecewise linear approximation networks for curves.
We include some numerical experiments illustrating the use of the beamlet
network in characterizing the filamentarity content of 3D datasets, and show
that even a rudimentary notion of good continuity may bring substantial
improvement.
| stat.ME | we consider holder smoothness classes of surfaces for which we construct piecewise polynomial approximation networks which are graphs with polynomial pieces as nodes and edges between polynomial pieces that are in good continuation of each other little known to the community a similar construction was used by kolmogorov and tikhomirov in their proof of their celebrated entropy results for holder classes we show how to use such networks in the context of detecting geometric objects buried in noise to approximate the scan statistic yielding an optimization problem akin to the traveling salesman in the same context we describe an alternative approach based on computing the longest path in the network after appropriate thresholding for the special case of curves we also formalize the notion of good continuation between beamlets in any dimension obtaining more economical piecewise linear approximation networks for curves we include some numerical experiments illustrating the use of the beamlet network in characterizing the filamentarity content of 3d datasets and show that even a rudimentary notion of good continuity may bring substantial improvement | [['we', 'consider', 'holder', 'smoothness', 'classes', 'of', 'surfaces', 'for', 'which', 'we', 'construct', 'piecewise', 'polynomial', 'approximation', 'networks', 'which', 'are', 'graphs', 'with', 'polynomial', 'pieces', 'as', 'nodes', 'and', 'edges', 'between', 'polynomial', 'pieces', 'that', 'are', 'in', 'good', 'continuation', 'of', 'each', 'other', 'little', 'known', 'to', 'the', 'community', 'a', 'similar', 'construction', 'was', 'used', 'by', 'kolmogorov', 'and', 'tikhomirov', 'in', 'their', 'proof', 'of', 'their', 'celebrated', 'entropy', 'results', 'for', 'holder', 'classes', 'we', 'show', 'how', 'to', 'use', 'such', 'networks', 'in', 'the', 'context', 'of', 'detecting', 'geometric', 'objects', 'buried', 'in', 'noise', 'to', 'approximate', 'the', 'scan', 'statistic', 'yielding', 'an', 'optimization', 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709.0259 | Spectrum Sensing in Wideband OFDM Cognitive Radios | In this paper, detection of the primary user (PU) signal in an orthogonal
frequency division multiplexing (OFDM) based cognitive radio (CR) system is
addressed. According to the prior knowledge of the PU signal known to the
detector, three detection algorithms based on the Neyman-Pearson philosophy are
proposed. In the first case, a Gaussian PU signal with completely known
probability density function (PDF) except for its received power is considered.
The frequency band that the PU signal resides is also assumed known. Detection
is performed individually at each OFDM sub-carrier possibly interfered by the
PU signal, and the results are then combined to form a final decision. In the
second case, the sub-carriers that the PU signal resides are known.
Observations from all possibly interfered sub-carriers are considered jointly
to exploit the fact that the presence of a PU signal interferers all of them
simultaneously. In the last case, it is assumed no PU signal prior knowledge is
available. The detection is involved with a search of the interfered band. The
proposed detector is able to detect an abrupt power change when tracing along
the frequency axis.
| cs.IT math.IT | in this paper detection of the primary user pu signal in an orthogonal frequency division multiplexing ofdm based cognitive radio cr system is addressed according to the prior knowledge of the pu signal known to the detector three detection algorithms based on the neymanpearson philosophy are proposed in the first case a gaussian pu signal with completely known probability density function pdf except for its received power is considered the frequency band that the pu signal resides is also assumed known detection is performed individually at each ofdm subcarrier possibly interfered by the pu signal and the results are then combined to form a final decision in the second case the subcarriers that the pu signal resides are known observations from all possibly interfered subcarriers are considered jointly to exploit the fact that the presence of a pu signal interferers all of them simultaneously in the last case it is assumed no pu signal prior knowledge is available the detection is involved with a search of the interfered band the proposed detector is able to detect an abrupt power change when tracing along the frequency axis | [['in', 'this', 'paper', 'detection', 'of', 'the', 'primary', 'user', 'pu', 'signal', 'in', 'an', 'orthogonal', 'frequency', 'division', 'multiplexing', 'ofdm', 'based', 'cognitive', 'radio', 'cr', 'system', 'is', 'addressed', 'according', 'to', 'the', 'prior', 'knowledge', 'of', 'the', 'pu', 'signal', 'known', 'to', 'the', 'detector', 'three', 'detection', 'algorithms', 'based', 'on', 'the', 'neymanpearson', 'philosophy', 'are', 'proposed', 'in', 'the', 'first', 'case', 'a', 'gaussian', 'pu', 'signal', 'with', 'completely', 'known', 'probability', 'density', 'function', 'pdf', 'except', 'for', 'its', 'received', 'power', 'is', 'considered', 'the', 'frequency', 'band', 'that', 'the', 'pu', 'signal', 'resides', 'is', 'also', 'assumed', 'known', 'detection', 'is', 'performed', 'individually', 'at', 'each', 'ofdm', 'subcarrier', 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-0.05443474464243658] |
709.026 | Mixing of shear Alfven wave packets | The propagation of shear Alfven wave packets in inhomogeneous magnetic
fields, at the origin of their distortion, regardless of the occurrence of
non-linear coupling, is considered. It is shown that the distortion mechanism
can be regarded as mixing process and hence, standard "phase mixing"
corresponds to the effect of an "Alfvenic" shear flow while enhanced
dissipation at a magnetic X-point corresponds to mixing by an "Alfvenic" strain
flow. The evolution of the global wave field is supposed to result from the
dynamics of a superposition of wave packets and a kinetic equation for the wave
energy is obtained following this eikonal (WKB) description. Since shear Alfven
wave packets experience continuous shearing/straining while transported by an
inhomogeneous Alfvenic flow $\mathbf{V}_{A}$, their mixing process, in physical
space, is also a cascade of wave energy in k-space. The wave energy spectrum
resulting from this linear mechanism of energy transfer is determined for the
special case of waves propagating along chaotic magnetic field lines, the
analog of a chaotic mixing process. The latter follows a $k^{-1}$ power-law, in
the energy conserving range in $k$ space.
| astro-ph | the propagation of shear alfven wave packets in inhomogeneous magnetic fields at the origin of their distortion regardless of the occurrence of nonlinear coupling is considered it is shown that the distortion mechanism can be regarded as mixing process and hence standard phase mixing corresponds to the effect of an alfvenic shear flow while enhanced dissipation at a magnetic xpoint corresponds to mixing by an alfvenic strain flow the evolution of the global wave field is supposed to result from the dynamics of a superposition of wave packets and a kinetic equation for the wave energy is obtained following this eikonal wkb description since shear alfven wave packets experience continuous shearingstraining while transported by an inhomogeneous alfvenic flow mathbfv_a their mixing process in physical space is also a cascade of wave energy in kspace the wave energy spectrum resulting from this linear mechanism of energy transfer is determined for the special case of waves propagating along chaotic magnetic field lines the analog of a chaotic mixing process the latter follows a k1 powerlaw in the energy conserving range in k space | [['the', 'propagation', 'of', 'shear', 'alfven', 'wave', 'packets', 'in', 'inhomogeneous', 'magnetic', 'fields', 'at', 'the', 'origin', 'of', 'their', 'distortion', 'regardless', 'of', 'the', 'occurrence', 'of', 'nonlinear', 'coupling', 'is', 'considered', 'it', 'is', 'shown', 'that', 'the', 'distortion', 'mechanism', 'can', 'be', 'regarded', 'as', 'mixing', 'process', 'and', 'hence', 'standard', 'phase', 'mixing', 'corresponds', 'to', 'the', 'effect', 'of', 'an', 'alfvenic', 'shear', 'flow', 'while', 'enhanced', 'dissipation', 'at', 'a', 'magnetic', 'xpoint', 'corresponds', 'to', 'mixing', 'by', 'an', 'alfvenic', 'strain', 'flow', 'the', 'evolution', 'of', 'the', 'global', 'wave', 'field', 'is', 'supposed', 'to', 'result', 'from', 'the', 'dynamics', 'of', 'a', 'superposition', 'of', 'wave', 'packets', 'and', 'a', 'kinetic', 'equation', 'for', 'the', 'wave', 'energy', 'is', 'obtained', 'following', 'this', 'eikonal', 'wkb', 'description', 'since', 'shear', 'alfven', 'wave', 'packets', 'experience', 'continuous', 'shearingstraining', 'while', 'transported', 'by', 'an', 'inhomogeneous', 'alfvenic', 'flow', 'mathbfv_a', 'their', 'mixing', 'process', 'in', 'physical', 'space', 'is', 'also', 'a', 'cascade', 'of', 'wave', 'energy', 'in', 'kspace', 'the', 'wave', 'energy', 'spectrum', 'resulting', 'from', 'this', 'linear', 'mechanism', 'of', 'energy', 'transfer', 'is', 'determined', 'for', 'the', 'special', 'case', 'of', 'waves', 'propagating', 'along', 'chaotic', 'magnetic', 'field', 'lines', 'the', 'analog', 'of', 'a', 'chaotic', 'mixing', 'process', 'the', 'latter', 'follows', 'a', 'k1', 'powerlaw', 'in', 'the', 'energy', 'conserving', 'range', 'in', 'k', 'space']] | [-0.22848917234899715, 0.24663281306979187, -0.056216078061173416, 0.08070531270355817, -0.06096160178613854, -0.041026382082709055, -0.011280258898961478, 0.3095600604425658, -0.3339153986772803, -0.24212229737814245, 0.048103037718865586, -0.23129653508837372, -0.1009322725621432, 0.1804523273116217, 0.06826600260179302, 0.04672351024795178, 0.017598643232339877, 0.02575518272806729, -0.020937429643470232, -0.11790148699239895, 0.3234762514644828, 0.11424523866579311, 0.3018002294747981, 0.006257414253293302, 0.09567417801154891, -0.025303090478985588, 0.025248194836579554, -0.017118115259357858, -0.12205707915433762, 0.006552234061801151, 0.1967780392424479, 0.05428988194904764, 0.2383323548616602, -0.4417738768391769, -0.3029289418589532, 0.03520384441811446, 0.18382035207794198, 0.13193633858707612, -0.016807002262550524, -0.2517429776138538, 0.011895065120416147, -0.12853460328122757, -0.15610228164652207, 0.00646445648640644, 0.024862859984755764, 0.037080147663292644, -0.3099960748720186, 0.15826927283216222, 0.07841664936566496, 0.017016915817791856, -0.08502398587518772, -0.008850157458605713, -0.12263096607805297, 0.046392989729910926, 0.11819061712578444, 0.08856512667928619, 0.11680671730853992, -0.13932090003938316, -0.04941186211826332, 0.4159820619658385, -0.06841159697268262, -0.18858814467958893, 0.13551024426628092, -0.153934466455349, -0.02788208145518168, 0.25461028676087233, 0.20257179004493997, 0.06356289819424046, -0.11048883389338185, 0.049181654981035716, -0.0003324725383706651, 0.11649986188442514, 0.1010412488574313, 0.03018580546326852, 0.22115846043036386, 0.15427762294297404, 0.07332552493908885, 0.11237952182187787, -0.09416672723711203, -0.08190247328827084, -0.3174011844246747, -0.13559446281847132, -0.20834302204510186, 0.08542418620308832, -0.0797109291991206, -0.17610470031816694, 0.4197843492853159, 0.1116579965279859, 0.16130033445060996, -0.005053303066599469, 0.2937380976808471, 0.19844301377732682, 0.008776800583413277, 0.10360307205148436, 0.30630318156584013, 0.20499156881904218, 0.16415579764526234, -0.24454115775632335, 0.030660053985661635, 0.05347256839545912] |
709.0261 | No resonant tunneling in standard scalar quantum field theory | We investigate the nature of resonant tunneling in Quantum Field Theory.
Following the pioneering work of Banks, Bender and Wu, we describe quantum
field theory in terms of infinite dimensional quantum mechanics and utilize the
``Most probable escape path'' (MPEP) as the class of paths which dominate the
path integral in the classically forbidden region. Considering a 1+1
dimensional field theory example we show that there are five conditions that
any associated bound state in the classically allowed region must satisfy if
resonant tunnelling is to occur, and we then proceed to show that it is
impossible to satisfy all five conditions simultaneously.
| hep-th | we investigate the nature of resonant tunneling in quantum field theory following the pioneering work of banks bender and wu we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the most probable escape path mpep as the class of paths which dominate the path integral in the classically forbidden region considering a 11 dimensional field theory example we show that there are five conditions that any associated bound state in the classically allowed region must satisfy if resonant tunnelling is to occur and we then proceed to show that it is impossible to satisfy all five conditions simultaneously | [['we', 'investigate', 'the', 'nature', 'of', 'resonant', 'tunneling', 'in', 'quantum', 'field', 'theory', 'following', 'the', 'pioneering', 'work', 'of', 'banks', 'bender', 'and', 'wu', 'we', 'describe', 'quantum', 'field', 'theory', 'in', 'terms', 'of', 'infinite', 'dimensional', 'quantum', 'mechanics', 'and', 'utilize', 'the', 'most', 'probable', 'escape', 'path', 'mpep', 'as', 'the', 'class', 'of', 'paths', 'which', 'dominate', 'the', 'path', 'integral', 'in', 'the', 'classically', 'forbidden', 'region', 'considering', 'a', '11', 'dimensional', 'field', 'theory', 'example', 'we', 'show', 'that', 'there', 'are', 'five', 'conditions', 'that', 'any', 'associated', 'bound', 'state', 'in', 'the', 'classically', 'allowed', 'region', 'must', 'satisfy', 'if', 'resonant', 'tunnelling', 'is', 'to', 'occur', 'and', 'we', 'then', 'proceed', 'to', 'show', 'that', 'it', 'is', 'impossible', 'to', 'satisfy', 'all', 'five', 'conditions', 'simultaneously']] | [-0.1421225319415313, 0.18250894343968735, -0.053764117280364905, 0.08416952720156066, -0.04873016945005042, -0.1503043143865336, 0.03541265432022114, 0.36014069027258355, -0.2511238421333809, -0.25893358408826067, 0.06303782455478478, -0.2591380215457921, -0.19724430724327424, 0.18880343753663661, -0.04865024493412721, 0.02419457469899569, 0.03727942933916178, 0.05478068150001243, -0.006796722497013442, -0.2510959196076231, 0.3360689286656426, -0.012602172175973871, 0.23008103396526527, 0.03808885873114527, 0.08843985257796871, 0.0518105499795638, 0.02598901436572614, 0.06734983292996015, -0.1936158343179132, 0.06254761931667267, 0.2483175209976588, 0.10658328412597981, 0.22568454042764255, -0.4435805422570376, -0.21704287296392755, 0.13691148870326217, 0.12018861551203955, 0.12230246152855384, 0.0021477922327020793, -0.22844233935319105, 0.08726127159971635, -0.13989230361088967, -0.1588083763518687, -0.05333931283862556, 0.008732291678807617, -0.05296170864326572, -0.23084519021393893, 0.05863661903128462, 0.05307049518315465, -0.006623145753463495, -0.06990530833972672, -0.008260672337836722, -0.01169379931666608, 0.10406185353391813, 0.015114703793214291, -0.0014791796362542918, 0.10392011374967552, -0.11605921810568035, -0.1477551465284405, 0.349260749406118, -0.03414358658878838, -0.158559885364279, 0.1918480569966933, -0.17405145058806226, -0.1460433429405455, 0.1355842744877327, 0.08219211400052515, 0.13683728666216569, -0.14809293308051177, 0.16190502514047728, -0.03348236743053331, 0.10366107326778538, 0.12742845925900326, 0.07596579440462503, 0.18075072041950618, 0.05943384658527172, 0.056935790446993796, 0.12642690610565535, -0.07616323513912435, -0.1717207533967437, -0.33884093153643086, -0.19305546650746658, -0.15879712840067495, 0.08863647207979439, -0.012188053838665669, -0.15668534365419334, 0.3378424040285997, 0.18849514763309502, 0.18042344699875967, 0.0066160567441629695, 0.2261860570553871, 0.16935205250273197, 0.03926587126498084, 0.09207186036860769, 0.2638025956354963, 0.14999463514976422, 0.033868697065028174, -0.20464576945811944, -0.01684299933281049, 0.06697720746753864] |
709.0262 | Discovery of multiple Lorentzian components in the X-ray timing
properties of the Narrow Line Seyfert 1 Ark 564 | We present a power spectral analysis of a 100 ksec XMM-Newton observation of
the narrow line Seyfert 1 galaxy Ark~564. When combined with earlier RXTE and
ASCA observations, these data produce a power spectrum covering seven decades
of frequency which is well described by a power law with two very clear breaks.
This shape is unlike the power spectra of almost all other AGN observed so far,
which have only one detected break, and resemble Galactic binary systems in a
soft state. The power spectrum can also be well described by the sum of two
Lorentzian-shaped components, the one at higher frequencies having a hard
spectrum, similar to those seen in Galactic binary systems. Previously we have
demonstrated that the lag of the hard band variations relative to the soft band
in Ark 564 is dependent on variability time-scale, as seen in Galactic binary
sources. Here we show that the time-scale dependence of the lags can be
described well using the same two-Lorentzian model which describes the power
spectrum, assuming that each Lorentzian component has a distinct time lag. Thus
all X-ray timing evidence points strongly to two discrete, localised, regions
as the origin of most of the variability. Similar behaviour is seen in Galactic
X-ray binary systems in most states other than the soft state, i.e. in the
low-hard and intermediate/very high states. Given the very high accretion rate
of Ark 564 the closest analogy is with the very high (intermediate) state
rather than the low-hard state. We therefore strengthen the comparison between
AGN and Galactic binary sources beyond previous studies by extending it to the
previously poorly studied very high accretion rate regime.
| astro-ph | we present a power spectral analysis of a 100 ksec xmmnewton observation of the narrow line seyfert 1 galaxy ark564 when combined with earlier rxte and asca observations these data produce a power spectrum covering seven decades of frequency which is well described by a power law with two very clear breaks this shape is unlike the power spectra of almost all other agn observed so far which have only one detected break and resemble galactic binary systems in a soft state the power spectrum can also be well described by the sum of two lorentzianshaped components the one at higher frequencies having a hard spectrum similar to those seen in galactic binary systems previously we have demonstrated that the lag of the hard band variations relative to the soft band in ark 564 is dependent on variability timescale as seen in galactic binary sources here we show that the timescale dependence of the lags can be described well using the same twolorentzian model which describes the power spectrum assuming that each lorentzian component has a distinct time lag thus all xray timing evidence points strongly to two discrete localised regions as the origin of most of the variability similar behaviour is seen in galactic xray binary systems in most states other than the soft state ie in the lowhard and intermediatevery high states given the very high accretion rate of ark 564 the closest analogy is with the very high intermediate state rather than the lowhard state we therefore strengthen the comparison between agn and galactic binary sources beyond previous studies by extending it to the previously poorly studied very high accretion rate regime | [['we', 'present', 'a', 'power', 'spectral', 'analysis', 'of', 'a', '100', 'ksec', 'xmmnewton', 'observation', 'of', 'the', 'narrow', 'line', 'seyfert', '1', 'galaxy', 'ark564', 'when', 'combined', 'with', 'earlier', 'rxte', 'and', 'asca', 'observations', 'these', 'data', 'produce', 'a', 'power', 'spectrum', 'covering', 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'sources', 'beyond', 'previous', 'studies', 'by', 'extending', 'it', 'to', 'the', 'previously', 'poorly', 'studied', 'very', 'high', 'accretion', 'rate', 'regime']] | [-0.09395788516169482, 0.10529099947715137, -0.07746270083631966, 0.09895708263396238, -0.08383602873816488, -0.1398644268149034, 0.04070188618098542, 0.4293826515140542, -0.21144089314491354, -0.3322734217920823, 0.10545027522874968, -0.3099336876078461, -0.050687891832233344, 0.21928503507676866, -0.010033362163961558, 0.010703631021578654, 0.014302000112790805, -0.032751786837823364, -0.037283016672106394, -0.1953226040035867, 0.2776407156454868, 0.10335176496895669, 0.20656374174707237, -0.04080004100075984, 0.05962607000119998, -0.029459882110151644, -0.030995402219161444, 0.010198609179470443, -0.042079693697668896, 0.0459165884837012, 0.2797691354784693, 0.0876463644243063, 0.20044387399939562, -0.3534198343417315, -0.26674506074687754, 0.0914528926462275, 0.1672333843477519, 0.015662373997437612, 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709.0263 | Violation of the Luttinger sum rule within the Hubbard model on a
triangular lattice | The frequency-moment expansion method is developed to analyze the validity of
the Luttinger sum rule within the Mott-Hubbard insulator, as represented by the
generalized Hubbard model at half filling and large $U$. For the particular
case of the Hubbard model with nearest-neighbor hopping on a triangular lattice
lacking the particle-hole symmetry results reveal substantial violation of the
sum rule.
| cond-mat.str-el cond-mat.stat-mech | the frequencymoment expansion method is developed to analyze the validity of the luttinger sum rule within the motthubbard insulator as represented by the generalized hubbard model at half filling and large u for the particular case of the hubbard model with nearestneighbor hopping on a triangular lattice lacking the particlehole symmetry results reveal substantial violation of the sum rule | [['the', 'frequencymoment', 'expansion', 'method', 'is', 'developed', 'to', 'analyze', 'the', 'validity', 'of', 'the', 'luttinger', 'sum', 'rule', 'within', 'the', 'motthubbard', 'insulator', 'as', 'represented', 'by', 'the', 'generalized', 'hubbard', 'model', 'at', 'half', 'filling', 'and', 'large', 'u', 'for', 'the', 'particular', 'case', 'of', 'the', 'hubbard', 'model', 'with', 'nearestneighbor', 'hopping', 'on', 'a', 'triangular', 'lattice', 'lacking', 'the', 'particlehole', 'symmetry', 'results', 'reveal', 'substantial', 'violation', 'of', 'the', 'sum', 'rule']] | [-0.14236356055661073, 0.11351591449808972, 0.01645541496992368, 0.07937502207692135, -0.03949389038286332, -0.19281628813819382, 0.15790664070639118, 0.32161675725967204, -0.25339365842077755, -0.21183050215115834, 0.042659942992031574, -0.2984451185751321, -0.11294464567868874, 0.08386172385533051, 0.10609271099935447, -0.019915963828178316, -0.006355977649318761, -0.026179115340145755, -0.13711889056039267, -0.26883789018869847, 0.2753533243265902, -0.009768313842681077, 0.2938550247585979, 0.1367119953180824, 0.03744538263257208, 0.09153166799484913, 0.08035602862143824, 6.0581313125018415e-05, -0.14975875794309482, 0.07169438349404211, 0.17583742306631958, -0.09275019108237506, 0.21406380504626651, -0.39976092614233494, -0.19256564796548978, 0.016304676790304225, 0.1357433378600098, 0.10254174477324404, 0.043606302819359274, -0.3182008530390609, 0.0014705499955292407, -0.2874726744224157, -0.1588601184254191, -0.12090813505045812, -0.05126901692710817, -0.005348856777659264, -0.28262949776675167, 0.1572651694175498, 0.05419378300349967, 0.08044977701301205, -0.051523045026536644, -0.16706208486495347, -0.03099387311697777, 0.06401670968224263, 0.03325360037932365, 0.0331763202978844, 0.04488500660678757, -0.12211074081153192, -0.12065652779560408, 0.45258204459116375, -0.059711553959240174, -0.1701783871856229, 0.12067933419141276, -0.19220133751213295, -0.07648221599259253, 0.13013794610341048, 0.07001490344630619, 0.036720161920349145, -0.14553969200893208, 0.12137979801427091, -0.13124625901852188, 0.14706331057923622, -0.03592202726928196, 0.014287809439902675, 0.22901544980062494, 0.19236789068512233, 0.07921791606550586, 0.17115052256749236, -0.10990244013273381, -0.18794247797080155, -0.3451914922173681, -0.07249239037327211, -0.31017235033856383, 0.030769939052647556, -0.09792193824978312, -0.20210694020678258, 0.4117077862651184, 0.11107124956645842, 0.17421904718503356, 0.022961160537369293, 0.2006911651937869, 0.1792211404756707, 0.09603855823134554, 0.01546742024446099, 0.19941998782953055, 0.15501604197498667, 0.05536401043003746, -0.3026779434194082, 0.014199087613037434, 0.18677966232443677] |
709.0264 | A search for electron cyclotron maser emission from compact binaries | Unipolar induction (UI) is a fundamental physical process, which occurs when
a conducting body transverses a magnetic field. It has been suggested that UI
is operating in RX J0806+15 and RX J1914+24, which are believed to be
ultra-compact binaries with orbital periods of 5.4 min and 9.6 min
respectively. The UI model predicts that those two sources may be electron
cyclotron maser sources at radio wavelengths. Other systems in which UI has
been predicted to occur are short period extra-solar terrestrial planets with
conducting cores. If UI is present, circularly polarised radio emission is
predicted to be emitted. We have searched for this predicted radio emission
from short period binaries using the VLA and ATCA. In one epoch we find
evidence for a radio source, coincident in position with the optical position
of RX J0806+15. Although we cannot completely exclude that this is a chance
alignment between the position of RX J0806+15 and an artifact in the data
reduction process, the fact that it was detected at a significance level of 5.8
sigma and found to be transient, suggests that it is more likely that RX
J0806+15 is a transient radio source. We find an upper limit on the degree of
circular polarisation to be ~50%. The inferred brightness temperature exceeds
10^18 K, which is too high for any known incoherent process, but is consistent
with maser emission and UI being the driving mechanism. We did not detect radio
emission from ES Cet, RX J1914+24 or Gliese 876.
| astro-ph | unipolar induction ui is a fundamental physical process which occurs when a conducting body transverses a magnetic field it has been suggested that ui is operating in rx j080615 and rx j191424 which are believed to be ultracompact binaries with orbital periods of 54 min and 96 min respectively the ui model predicts that those two sources may be electron cyclotron maser sources at radio wavelengths other systems in which ui has been predicted to occur are short period extrasolar terrestrial planets with conducting cores if ui is present circularly polarised radio emission is predicted to be emitted we have searched for this predicted radio emission from short period binaries using the vla and atca in one epoch we find evidence for a radio source coincident in position with the optical position of rx j080615 although we cannot completely exclude that this is a chance alignment between the position of rx j080615 and an artifact in the data reduction process the fact that it was detected at a significance level of 58 sigma and found to be transient suggests that it is more likely that rx j080615 is a transient radio source we find an upper limit on the degree of circular polarisation to be 50 the inferred brightness temperature exceeds 1018 k which is too high for any known incoherent process but is consistent with maser emission and ui being the driving mechanism we did not detect radio emission from es cet rx j191424 or gliese 876 | [['unipolar', 'induction', 'ui', 'is', 'a', 'fundamental', 'physical', 'process', 'which', 'occurs', 'when', 'a', 'conducting', 'body', 'transverses', 'a', 'magnetic', 'field', 'it', 'has', 'been', 'suggested', 'that', 'ui', 'is', 'operating', 'in', 'rx', 'j080615', 'and', 'rx', 'j191424', 'which', 'are', 'believed', 'to', 'be', 'ultracompact', 'binaries', 'with', 'orbital', 'periods', 'of', '54', 'min', 'and', '96', 'min', 'respectively', 'the', 'ui', 'model', 'predicts', 'that', 'those', 'two', 'sources', 'may', 'be', 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709.0265 | How far can you go ? Surprises and pitfalls in three-flavour chiral
extrapolations | The presence of strange sea quark pairs may have a significant impact of the
pattern of chiral symmetry breaking : in particular large differences can occur
between the chiral limits of two and three massless flavours (i.e., whether
$m_s$ is kept at its physical value or sent to zero). We recall some
indications of such a scenario in QCD, in relation with the peculiar dynamics
of the scalar sector. We explain how this could affect the convergence of
three-flavour chiral series, commonly used to extrapolate the results of
lattice simulations. Finally, we indicate how lattice simulations with three
dynamical flavours could unveil such an effect through the quark-mass
dependence of light meson masses and decay constants.
| hep-lat | the presence of strange sea quark pairs may have a significant impact of the pattern of chiral symmetry breaking in particular large differences can occur between the chiral limits of two and three massless flavours ie whether m_s is kept at its physical value or sent to zero we recall some indications of such a scenario in qcd in relation with the peculiar dynamics of the scalar sector we explain how this could affect the convergence of threeflavour chiral series commonly used to extrapolate the results of lattice simulations finally we indicate how lattice simulations with three dynamical flavours could unveil such an effect through the quarkmass dependence of light meson masses and decay constants | [['the', 'presence', 'of', 'strange', 'sea', 'quark', 'pairs', 'may', 'have', 'a', 'significant', 'impact', 'of', 'the', 'pattern', 'of', 'chiral', 'symmetry', 'breaking', 'in', 'particular', 'large', 'differences', 'can', 'occur', 'between', 'the', 'chiral', 'limits', 'of', 'two', 'and', 'three', 'massless', 'flavours', 'ie', 'whether', 'm_s', 'is', 'kept', 'at', 'its', 'physical', 'value', 'or', 'sent', 'to', 'zero', 'we', 'recall', 'some', 'indications', 'of', 'such', 'a', 'scenario', 'in', 'qcd', 'in', 'relation', 'with', 'the', 'peculiar', 'dynamics', 'of', 'the', 'scalar', 'sector', 'we', 'explain', 'how', 'this', 'could', 'affect', 'the', 'convergence', 'of', 'threeflavour', 'chiral', 'series', 'commonly', 'used', 'to', 'extrapolate', 'the', 'results', 'of', 'lattice', 'simulations', 'finally', 'we', 'indicate', 'how', 'lattice', 'simulations', 'with', 'three', 'dynamical', 'flavours', 'could', 'unveil', 'such', 'an', 'effect', 'through', 'the', 'quarkmass', 'dependence', 'of', 'light', 'meson', 'masses', 'and', 'decay', 'constants']] | [-0.14580497973720016, 0.2592217865613866, -0.12289866421614652, 0.09267316112375777, -0.06345700885614623, -0.07552250226979833, 0.0770471350249389, 0.3506280873719927, -0.21061188403678976, -0.28287359374048915, 0.07231628479658747, -0.307001832905023, -0.11424071153261416, 0.12024663517697026, 0.03188743694057769, 0.052837880539869805, 0.020409953972810636, 0.04413297499084602, -0.10915372130744483, -0.23755864368994598, 0.32921960211318474, -0.0344691072712126, 0.23805362225267226, 0.16620356879480508, 0.0231337289194293, -0.05839486709674415, -0.010070532408502439, -0.032340649944608627, -0.10144486203384788, 0.005330003409282021, 0.15014040121231634, 0.04230261563687869, 0.15574685241217198, -0.4178049746900797, -0.1846037056195833, 0.13579124668613077, 0.18329776269991113, 0.1346710928108381, -0.055308126346410615, -0.25439523199735126, 0.09110210811233391, -0.17158516138771793, -0.20130517591175665, -0.10175479920580983, -0.04749590993008536, -0.023270821895288386, -0.2833029116625371, 0.09901916855217321, -0.027540763169172745, 0.08168843574012104, -0.007644151630760778, -0.15029409131561608, -0.04472925861001663, 0.14620960286777954, 0.15902565281797687, 0.009685511826335088, 0.12850372248794883, -0.1567413488301732, -0.14572693680959714, 0.45680664512936187, -0.09986312691193155, -0.18088973491331156, 0.1835141979820986, -0.19851284676393413, -0.16449316180432622, 0.06862412152164009, 0.2124911293387413, 0.046700844650521225, -0.1121403091263188, 0.05074646085723425, -0.054310284571155255, 0.19613423084172055, 0.07468643518893615, 0.07298526466297714, 0.29387648805328037, 0.17638389774112273, -0.04775917665911433, 0.07268104854687725, -0.06423337709907766, -0.12596440935183478, -0.34563367719883503, -0.0717912956505366, -0.1165165631910381, 0.06631311067258534, -0.12384708976833676, -0.11812583585877133, 0.39958005589635476, 0.17965743526836614, 0.2261187763965648, -0.02379185192529922, 0.24127083217482204, 0.08005128287831727, 0.06400297378878231, 0.03718967902190659, 0.2867162518823297, 0.15842136952054242, 0.09670126166032708, -0.3195251417973929, -0.016646733114738826, 0.04141118624854995] |
709.0266 | Investigation of Bioglass-Electrode Interfaces after Thermal Poling | Electrical and electrochemical processes in a bioactive soda-lime
phosphosilicate glasses and in a bioabsorbable soda-lime phosphate glass during
thermal poling were studied by means of thermally stimulated depolarization
current measurements, ac impedance spectroscopy, and SEM/EDX analyses. The
thermal poling was done by sputtering thin Pt electrode films onto the faces of
the glass samples and by applying voltages up to 1 kV to the electrodes at
temperatures up to 513 K. The poling leads to the formation of interfacial
layers under the electrodes which are responsible for two depolarization
current peaks and for one additional semicircle in a Nyquist plot of the ac
impedance. The SEM/EDX profiles suggest that redox and transport processes of
Na+ ions are responsible for the formation of the interfacial layers and that
Ca2+ ions are immobile under the poling conditions. The sodium depletion layer
under the anode leads to a negative surface charge of the glass samples which
may enhance their bioactivity.
| cond-mat.mtrl-sci cond-mat.other | electrical and electrochemical processes in a bioactive sodalime phosphosilicate glasses and in a bioabsorbable sodalime phosphate glass during thermal poling were studied by means of thermally stimulated depolarization current measurements ac impedance spectroscopy and semedx analyses the thermal poling was done by sputtering thin pt electrode films onto the faces of the glass samples and by applying voltages up to 1 kv to the electrodes at temperatures up to 513 k the poling leads to the formation of interfacial layers under the electrodes which are responsible for two depolarization current peaks and for one additional semicircle in a nyquist plot of the ac impedance the semedx profiles suggest that redox and transport processes of na ions are responsible for the formation of the interfacial layers and that ca2 ions are immobile under the poling conditions the sodium depletion layer under the anode leads to a negative surface charge of the glass samples which may enhance their bioactivity | [['electrical', 'and', 'electrochemical', 'processes', 'in', 'a', 'bioactive', 'sodalime', 'phosphosilicate', 'glasses', 'and', 'in', 'a', 'bioabsorbable', 'sodalime', 'phosphate', 'glass', 'during', 'thermal', 'poling', 'were', 'studied', 'by', 'means', 'of', 'thermally', 'stimulated', 'depolarization', 'current', 'measurements', 'ac', 'impedance', 'spectroscopy', 'and', 'semedx', 'analyses', 'the', 'thermal', 'poling', 'was', 'done', 'by', 'sputtering', 'thin', 'pt', 'electrode', 'films', 'onto', 'the', 'faces', 'of', 'the', 'glass', 'samples', 'and', 'by', 'applying', 'voltages', 'up', 'to', '1', 'kv', 'to', 'the', 'electrodes', 'at', 'temperatures', 'up', 'to', '513', 'k', 'the', 'poling', 'leads', 'to', 'the', 'formation', 'of', 'interfacial', 'layers', 'under', 'the', 'electrodes', 'which', 'are', 'responsible', 'for', 'two', 'depolarization', 'current', 'peaks', 'and', 'for', 'one', 'additional', 'semicircle', 'in', 'a', 'nyquist', 'plot', 'of', 'the', 'ac', 'impedance', 'the', 'semedx', 'profiles', 'suggest', 'that', 'redox', 'and', 'transport', 'processes', 'of', 'na', 'ions', 'are', 'responsible', 'for', 'the', 'formation', 'of', 'the', 'interfacial', 'layers', 'and', 'that', 'ca2', 'ions', 'are', 'immobile', 'under', 'the', 'poling', 'conditions', 'the', 'sodium', 'depletion', 'layer', 'under', 'the', 'anode', 'leads', 'to', 'a', 'negative', 'surface', 'charge', 'of', 'the', 'glass', 'samples', 'which', 'may', 'enhance', 'their', 'bioactivity']] | [-0.0802096658297113, 0.23021562006518556, -0.002536571707586961, -0.06650879499144279, 0.03317200057417489, -0.17117889803380537, 0.09520361229974347, 0.4439887535304595, -0.23222387609525752, -0.28161005564750385, 0.050422195699819636, -0.31423727388326556, -0.06055742235949788, 0.18212590527195388, -0.006627838634766447, 0.02491067000067769, -0.03301521659327241, -0.10441362134737667, -0.03027128233598211, -0.18518036052596587, 0.21635074635895973, 0.05137275343086236, 0.3441835380374239, 0.12386049946676045, 0.06008457598867468, -0.0450480820533509, 0.09120772546157241, 0.005066597023799729, -0.12964586551644083, 0.0477936293464154, 0.25903173938739854, -0.09147497187726773, 0.16968264705083597, -0.5287897100027364, -0.2342940515757222, -0.002958080408951411, 0.0710763248662727, 0.11219324449447389, -0.102052362749162, -0.22721925194267756, 0.08454256080716359, -0.05088782877338907, -0.08230191746798272, -0.031166307907999277, -0.0032118993485943438, 0.052598788388795815, -0.30494432244934916, 0.11501963098700611, 0.0866292672834765, 0.10298282421158197, -0.12628414742469501, -0.13782115163914382, -0.0973616644847565, 0.05514348834717216, 0.03221524736055961, -0.00240119871420738, 0.30797127227728754, -0.09798387899839629, -0.054113155395055235, 0.29988079198086875, -0.04116812947158439, -0.07873149227443485, 0.18548119453211817, -0.17429987440566316, 0.001967118872413173, 0.2142170102481778, 0.07950154675218539, 0.09402116020329487, -0.21685314901435795, -0.0046136402802986615, 0.05958597600692883, 0.1617097051617188, 0.17449896934573564, -0.0373784209935902, 0.2260112545441072, 0.19274603365621984, 0.0034131589604956577, 0.17228319910534012, -0.13711577688548296, 0.02547924953680008, -0.17788791485154667, -0.19347624415352654, -0.13721589965130895, 0.06142975407718227, -0.08979231015734676, -0.14991669640398753, 0.3986716233014774, 0.10567746383439487, 0.15557106029696, -0.06864165757090235, 0.2685938015018996, 0.0651685012174615, 0.10556602992792016, -0.004132647709178481, 0.22545444490596986, 0.23276654369412705, 0.17225435690050242, -0.31415035108175987, 0.1555208663802403, -0.028128776542591646] |
709.0267 | Quadratic supersymmetric transformations of the Dirac Green functions | We consider the quadratic supersymmetric aspect of the Darboux transformation
for the Green functions of the one-dimensional Dirac equation with a
generalized form of the potential. We obtain the relation between the initial
and the transformed Green functions on the whole real line. We also construct
the formula for the unabridged trace of the difference of the transformed and
the initial Green functions of the boundary problem on the whole real line. We
present an example illustrated our developments.
| hep-th | we consider the quadratic supersymmetric aspect of the darboux transformation for the green functions of the onedimensional dirac equation with a generalized form of the potential we obtain the relation between the initial and the transformed green functions on the whole real line we also construct the formula for the unabridged trace of the difference of the transformed and the initial green functions of the boundary problem on the whole real line we present an example illustrated our developments | [['we', 'consider', 'the', 'quadratic', 'supersymmetric', 'aspect', 'of', 'the', 'darboux', 'transformation', 'for', 'the', 'green', 'functions', 'of', 'the', 'onedimensional', 'dirac', 'equation', 'with', 'a', 'generalized', 'form', 'of', 'the', 'potential', 'we', 'obtain', 'the', 'relation', 'between', 'the', 'initial', 'and', 'the', 'transformed', 'green', 'functions', 'on', 'the', 'whole', 'real', 'line', 'we', 'also', 'construct', 'the', 'formula', 'for', 'the', 'unabridged', 'trace', 'of', 'the', 'difference', 'of', 'the', 'transformed', 'and', 'the', 'initial', 'green', 'functions', 'of', 'the', 'boundary', 'problem', 'on', 'the', 'whole', 'real', 'line', 'we', 'present', 'an', 'example', 'illustrated', 'our', 'developments']] | [-0.12549006940113216, 0.011749994170541074, -0.07693680752469581, 0.08278738792184033, -0.04178376590444034, -0.048661042676790604, 0.0276666692534721, 0.33269070258623434, -0.2515778342096866, -0.2198542561617833, 0.11611185976469159, -0.2588186519739183, -0.20753852070509632, 0.20968867720493786, 0.040506445449081406, 0.05691194510723971, 0.032490222543902415, 0.02723646260609355, -0.1475039339989801, -0.230936447503281, 0.4061667929061606, -0.040779857373136226, 0.2456125040432509, 0.06586180760560534, 0.11794091815930567, 0.0692441491763803, -0.04404601979930001, -0.03159939083919118, -0.13700077634104352, 0.16226151945582248, 0.15368460778948628, 0.13489459081305355, 0.21830337041918235, -0.4011350891116676, -0.16566121679601037, 0.12587731430760904, 0.10427219166031367, 0.07744378822891018, -0.06384053477675572, -0.2931482097063261, 0.018773544189237247, -0.11994787461206882, -0.2129368025314393, 0.002893193035469025, 0.025250508231877147, 0.06582915101530432, -0.24567590755280816, 0.05464478424739032, 0.013400716872154913, 0.01763655834748775, -0.1428557188468219, -0.11874065314466724, -0.044673172642087824, 0.14029013106740917, -0.008571496594378936, 0.005140063659394089, 0.06912165262465235, -0.10905466226955192, -0.043789937048914686, 0.3815570453040396, -0.08290347017206345, -0.25648380719313896, 0.1283436673693359, -0.133384480612659, -0.10671982229274662, 0.06190251706380256, 0.15279950175575818, 0.14593606291315223, -0.13317535930796515, 0.1331857096220925, -0.07901648846838058, 0.10432445508674011, 0.06032233259676001, -0.03712305589284323, 0.16553512111872057, 0.08695673671421371, 0.05342066230228807, 0.23437699212256488, -0.050307641816738094, -0.1299652976449579, -0.3844441918632652, -0.22524402542864974, -0.18716553105866607, 0.06261882455164826, -0.101977937418269, -0.22257725694039954, 0.4551599811898144, 0.09222368305383981, 0.22688231605423403, 0.09781076042335245, 0.24425784078768537, 0.24837111867522185, 0.05848466791212559, 0.015979735440091243, 0.18752473906342743, 0.12696990139688116, 0.12991568287304026, -0.2649709312893639, -0.04210850549272344, 0.1169919154217726] |
709.0268 | Exchange between deep donors in semiconductors: a quantum defect
approach | Exchange interactions among defects in semiconductors are commonly treated
within effective-mass theory using a scaled hydrogenic wave-function. However
such a wave-function is only applicable to shallow impurities; here we present
a simple but robust generalization to treat deep donors, in which we treat the
long-range part of the wavefunction using the well established quantum defect
theory, and include a model central-cell correction to fix the bound-state
eigenvalue at the experimentally observed value. This allows us to compute the
effect of binding energy on exchange interactions as a function of donor
distance; this is a significant quantity given recent proposals to carry out
quantum information processing using deep donors. As expected, exchange
interactions are suppressed (or increased), compared to the hydrogenic case, by
the greater localization (or delocalization) of the wavefunctions of deep
donors (or `super-shallow' donors with binding energy less then the hydrogenic
value). The calculated results are compared with a simple scaling of the
Heitler-London hydrogenic exchange; the scaled hydrogenic results give the
correct order of magnitude but fail to reproduce quantitatively our
calculations. We calculate the donor exchange in silicon including inter-valley
interference terms for donor pairs along the $\{100\}$ direction, and also show
the influence of the donor type on the distribution of nearest-neighbour
exchange constants at different concentrations. Our methods can be used to
compute the exchange interactions between two donor electrons with arbitrary
binding energy.
| cond-mat.mtrl-sci | exchange interactions among defects in semiconductors are commonly treated within effectivemass theory using a scaled hydrogenic wavefunction however such a wavefunction is only applicable to shallow impurities here we present a simple but robust generalization to treat deep donors in which we treat the longrange part of the wavefunction using the well established quantum defect theory and include a model centralcell correction to fix the boundstate eigenvalue at the experimentally observed value this allows us to compute the effect of binding energy on exchange interactions as a function of donor distance this is a significant quantity given recent proposals to carry out quantum information processing using deep donors as expected exchange interactions are suppressed or increased compared to the hydrogenic case by the greater localization or delocalization of the wavefunctions of deep donors or supershallow donors with binding energy less then the hydrogenic value the calculated results are compared with a simple scaling of the heitlerlondon hydrogenic exchange the scaled hydrogenic results give the correct order of magnitude but fail to reproduce quantitatively our calculations we calculate the donor exchange in silicon including intervalley interference terms for donor pairs along the 100 direction and also show the influence of the donor type on the distribution of nearestneighbour exchange constants at different concentrations our methods can be used to compute the exchange interactions between two donor electrons with arbitrary binding energy | [['exchange', 'interactions', 'among', 'defects', 'in', 'semiconductors', 'are', 'commonly', 'treated', 'within', 'effectivemass', 'theory', 'using', 'a', 'scaled', 'hydrogenic', 'wavefunction', 'however', 'such', 'a', 'wavefunction', 'is', 'only', 'applicable', 'to', 'shallow', 'impurities', 'here', 'we', 'present', 'a', 'simple', 'but', 'robust', 'generalization', 'to', 'treat', 'deep', 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709.0269 | Strange non-chaotic attractors in quasiperiodically forced circle maps | The occurrence of strange non-chaotic attractors (SNA) in quasiperiodically
forced systems has attracted considerable interest over the last two decades,
in particular since it provides a rich class of examples for the possibility of
complicated dynamics in the absence of chaos. Their existence was discovered in
the early 1980's, independently by Herman for quasiperiodic SL(2,R)-cocycles
and by Grebogi et al for so-called 'pinched skew products'. However, except for
these two particular classes there are still hardly any rigorous results on the
topic, despite a large number of numerical studies which all confirmed the
widespread existence of SNA in quasiperiodically forced systems.
Here, we prove the existence of SNA in quasiperiodically forced circle maps
under rather general conditions, which can be stated in terms of C 1
-estimates. As a consequence, we obtain the existence of strange non-chaotic
attractors for parameter sets of positive measure in suitable parameter
families. Further, we show that the considered systems have minimal dynamics.
The results apply in particular to a forced version of the Arnold circle map.
For this particular example, we also describe how the first Arnold tongue
collapses and looses its regularity due to the presence of strange non-chaotic
attractors and a related unbounded mean motion property.
| math.DS | the occurrence of strange nonchaotic attractors sna in quasiperiodically forced systems has attracted considerable interest over the last two decades in particular since it provides a rich class of examples for the possibility of complicated dynamics in the absence of chaos their existence was discovered in the early 1980s independently by herman for quasiperiodic sl2rcocycles and by grebogi et al for socalled pinched skew products however except for these two particular classes there are still hardly any rigorous results on the topic despite a large number of numerical studies which all confirmed the widespread existence of sna in quasiperiodically forced systems here we prove the existence of sna in quasiperiodically forced circle maps under rather general conditions which can be stated in terms of c 1 estimates as a consequence we obtain the existence of strange nonchaotic attractors for parameter sets of positive measure in suitable parameter families further we show that the considered systems have minimal dynamics the results apply in particular to a forced version of the arnold circle map for this particular example we also describe how the first arnold tongue collapses and looses its regularity due to the presence of strange nonchaotic attractors and a related unbounded mean motion property | [['the', 'occurrence', 'of', 'strange', 'nonchaotic', 'attractors', 'sna', 'in', 'quasiperiodically', 'forced', 'systems', 'has', 'attracted', 'considerable', 'interest', 'over', 'the', 'last', 'two', 'decades', 'in', 'particular', 'since', 'it', 'provides', 'a', 'rich', 'class', 'of', 'examples', 'for', 'the', 'possibility', 'of', 'complicated', 'dynamics', 'in', 'the', 'absence', 'of', 'chaos', 'their', 'existence', 'was', 'discovered', 'in', 'the', 'early', '1980s', 'independently', 'by', 'herman', 'for', 'quasiperiodic', 'sl2rcocycles', 'and', 'by', 'grebogi', 'et', 'al', 'for', 'socalled', 'pinched', 'skew', 'products', 'however', 'except', 'for', 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709.027 | X-ray reflection in accreting stellar-mass black hole systems | The X-ray spectra of accreting stellar-mass black hole systems exhibit
spectral features due to reflection, especially broad iron K alpha emission
lines. We investigate the reflection by the accretion disc that can be expected
in the high/soft state of such a system. First, we perform a self-consistent
calculation of the reflection that results from illumination of a hot, inner
portion of the disc with its atmosphere in hydrostatic equilibrium. Then we
present reflection spectra for a range of illumination strengths and disc
temperatures under the assumption of a constant-density atmosphere. Reflection
by a hot accretion disc differs in important ways from that of a much cooler
disc, such as that expected in an active galactic nucleus.
| astro-ph | the xray spectra of accreting stellarmass black hole systems exhibit spectral features due to reflection especially broad iron k alpha emission lines we investigate the reflection by the accretion disc that can be expected in the highsoft state of such a system first we perform a selfconsistent calculation of the reflection that results from illumination of a hot inner portion of the disc with its atmosphere in hydrostatic equilibrium then we present reflection spectra for a range of illumination strengths and disc temperatures under the assumption of a constantdensity atmosphere reflection by a hot accretion disc differs in important ways from that of a much cooler disc such as that expected in an active galactic nucleus | [['the', 'xray', 'spectra', 'of', 'accreting', 'stellarmass', 'black', 'hole', 'systems', 'exhibit', 'spectral', 'features', 'due', 'to', 'reflection', 'especially', 'broad', 'iron', 'k', 'alpha', 'emission', 'lines', 'we', 'investigate', 'the', 'reflection', 'by', 'the', 'accretion', 'disc', 'that', 'can', 'be', 'expected', 'in', 'the', 'highsoft', 'state', 'of', 'such', 'a', 'system', 'first', 'we', 'perform', 'a', 'selfconsistent', 'calculation', 'of', 'the', 'reflection', 'that', 'results', 'from', 'illumination', 'of', 'a', 'hot', 'inner', 'portion', 'of', 'the', 'disc', 'with', 'its', 'atmosphere', 'in', 'hydrostatic', 'equilibrium', 'then', 'we', 'present', 'reflection', 'spectra', 'for', 'a', 'range', 'of', 'illumination', 'strengths', 'and', 'disc', 'temperatures', 'under', 'the', 'assumption', 'of', 'a', 'constantdensity', 'atmosphere', 'reflection', 'by', 'a', 'hot', 'accretion', 'disc', 'differs', 'in', 'important', 'ways', 'from', 'that', 'of', 'a', 'much', 'cooler', 'disc', 'such', 'as', 'that', 'expected', 'in', 'an', 'active', 'galactic', 'nucleus']] | [-0.07424429057824329, 0.11134410550497204, -0.09661821245440635, 0.0703106284872147, -0.06668065819319273, -0.07467316149669731, 0.04364549177337502, 0.42480050590981183, -0.2115948938218684, -0.31754469734231205, 0.07542731552906655, -0.266342881529046, -0.02413924136560346, 0.21304539403203746, -0.04523967287567412, -0.00025540026123555183, 0.008757319100650734, -0.06546504064192113, -0.07787595892421387, -0.1407037855904742, 0.3586201382166674, 0.07559761040892195, 0.10974728764267638, -0.017577385117843295, 0.010302076204519334, -0.04712003435947579, 0.02394569494183464, 0.003278957848469245, -0.1451073884414529, 0.04844777114239746, 0.255500314271495, 0.09029305150836771, 0.19243996530963942, -0.3995633837927518, -0.2823921335170624, 0.011018590720627329, 0.16431284977418195, 0.05623445401755001, -0.10295974114379877, -0.18775357840711188, 0.03638860367334865, -0.23987136269791115, -0.166704078783243, 0.04001356402797432, 0.03424771095963259, -0.027611339424640453, -0.23525165476643578, 0.07490220720526473, 0.13006145300460048, 0.06067854961669394, -0.15513355791636999, -0.059390465097686536, -0.09355233924399162, 0.06492838727165784, 0.08339526130946288, -0.020728179040878755, 0.24867065651904277, -0.14183675157155134, -0.0405740525035573, 0.42881194856981264, -0.11343001442407419, -0.007238837408608404, 0.22014958001994367, -0.24883352423985972, -0.10719207379613714, 0.24516443186038142, 0.16467931328526023, 0.15906596939673584, -0.11498692435019746, 0.040139657593280045, -0.11783410779778557, 0.21736304981609936, 0.05381116958270813, 0.04010050562973102, 0.3582509661912276, 0.08252893365088626, 0.029607792577609933, 0.16740616611235148, -0.18554493759212823, -0.022074030001712, -0.2218588496405824, -0.11153099491212774, -0.1268341238008298, 0.10496520931262458, -0.09445031346130518, -0.17016488204083952, 0.3449832156404917, 0.10417992883795422, 0.2468247300752535, -0.008620049702083885, 0.3485149366797173, 0.124918111334033, 0.0331544693968869, 0.15230640458697775, 0.2886116380867516, 0.17730742125221977, 0.10764444793237309, -0.269405399553542, 0.06328085981759018, -0.01043315252712185] |
709.0271 | Quantum Critical Phenomena, Entanglement Entropy and Hubbard Model in 1d
with the Boundary Site with a Negative Chemical Potential -p and the Hubbard
Coupling U Positive | Recently the ground state and some excited states of the half-filled case of
the 1d Hubbard model were discussed for an open chain with L sites. Authors
considered the case when the boundary site has a negative chemical potential -p
and the Hubbard coupling U is positive. They have shown by an analytic method
that when p is larger than the transfer integral some of the ground-state
solutions of the Bethe ansatz equations become complex-valued. They have found
that there is a surface phase transition at some critical value p_c; when p <
p_c all the charge excitations have the gap for this case, while there exists a
massless charge mode when p > p_c. To find whether this surface phase
transition is of the first order or of the second order we have used the
entanglement entropy concept. The entropy and its derivative has a
discontinuity there, so this transition is of the first order.
| cond-mat.str-el cond-mat.other | recently the ground state and some excited states of the halffilled case of the 1d hubbard model were discussed for an open chain with l sites authors considered the case when the boundary site has a negative chemical potential p and the hubbard coupling u is positive they have shown by an analytic method that when p is larger than the transfer integral some of the groundstate solutions of the bethe ansatz equations become complexvalued they have found that there is a surface phase transition at some critical value p_c when p p_c all the charge excitations have the gap for this case while there exists a massless charge mode when p p_c to find whether this surface phase transition is of the first order or of the second order we have used the entanglement entropy concept the entropy and its derivative has a discontinuity there so this transition is of the first order | [['recently', 'the', 'ground', 'state', 'and', 'some', 'excited', 'states', 'of', 'the', 'halffilled', 'case', 'of', 'the', '1d', 'hubbard', 'model', 'were', 'discussed', 'for', 'an', 'open', 'chain', 'with', 'l', 'sites', 'authors', 'considered', 'the', 'case', 'when', 'the', 'boundary', 'site', 'has', 'a', 'negative', 'chemical', 'potential', 'p', 'and', 'the', 'hubbard', 'coupling', 'u', 'is', 'positive', 'they', 'have', 'shown', 'by', 'an', 'analytic', 'method', 'that', 'when', 'p', 'is', 'larger', 'than', 'the', 'transfer', 'integral', 'some', 'of', 'the', 'groundstate', 'solutions', 'of', 'the', 'bethe', 'ansatz', 'equations', 'become', 'complexvalued', 'they', 'have', 'found', 'that', 'there', 'is', 'a', 'surface', 'phase', 'transition', 'at', 'some', 'critical', 'value', 'p_c', 'when', 'p', 'p_c', 'all', 'the', 'charge', 'excitations', 'have', 'the', 'gap', 'for', 'this', 'case', 'while', 'there', 'exists', 'a', 'massless', 'charge', 'mode', 'when', 'p', 'p_c', 'to', 'find', 'whether', 'this', 'surface', 'phase', 'transition', 'is', 'of', 'the', 'first', 'order', 'or', 'of', 'the', 'second', 'order', 'we', 'have', 'used', 'the', 'entanglement', 'entropy', 'concept', 'the', 'entropy', 'and', 'its', 'derivative', 'has', 'a', 'discontinuity', 'there', 'so', 'this', 'transition', 'is', 'of', 'the', 'first', 'order']] | [-0.15686889722196434, 0.17797721042120135, -0.06470119577527118, 0.05742253614256957, -0.007232273345232591, -0.1656695017318979, 0.05867512919032922, 0.34596974065817604, -0.22830797886693632, -0.2301191623117049, 0.08761180578368147, -0.3495813015933064, -0.1254747448770281, 0.11079959618230048, 0.06851954285853676, 0.06435299195105802, 0.008550844354821103, 0.11622344376216945, -0.08390573020752326, -0.2509171567046894, 0.35346420717050697, -0.005944249117384096, 0.24477730827049243, 0.09180249920562393, 0.029591231123096758, -0.041621713285249745, 0.11394376120856636, 0.010768438096750866, -0.19216349745891587, 0.04407042527279148, 0.24418857069111538, 0.01638267195614224, 0.277260371985809, -0.3778362984756951, -0.22304103277357562, 0.13517290034010862, 0.1262616943598229, 0.14280923920254188, -0.04886337615513279, -0.2626198459032609, 0.06867200776620151, -0.17791708011343446, -0.15140457059764725, -0.06774904567811807, 0.08871794672223268, -0.022144854190085057, -0.25140881721934233, 0.07687709756292306, 0.07439834951625701, 0.057323024862191894, -0.07260863426785505, -0.15157409139920947, -0.07874783896538731, 0.11620112773040067, 0.0662191671813693, 0.09198743388791532, 0.04561767800311957, -0.11081485135341668, -0.07524883458027978, 0.3665914942280619, -0.025126352166630745, -0.18843187421390956, 0.17141463199793663, -0.18748379412240215, -0.091811264602032, 0.15934136249608571, 0.060080542367075676, 0.11052575273221577, -0.09864186833789512, 0.13953711714953873, -0.02832172522487651, 0.16744433240224185, 0.05056489164058071, -0.01057594424331343, 0.1834397442009929, 0.12226724292245367, 0.10233128788675387, 0.15007780832480397, -0.09153567549436922, -0.08917712953921358, -0.2917531010900418, -0.1648614239189532, -0.22112152528137954, 0.045053640821972836, -0.055569391485697485, -0.1844243474261965, 0.37034764775232254, 0.11702576628187505, 0.1701229309977649, -0.008744729117357306, 0.20871499673895805, 0.21078640495898662, 0.035110275403221515, 0.09363050749389358, 0.23980704333626382, 0.1322431154065318, 0.10204141307168628, -0.23687950061356752, 0.07015019770131095, 0.08826050029722853] |
709.0272 | Strong Law of Large Numbers for branching diffusions | Let $X$ be the branching particle diffusion corresponding to the operator
$Lu+\beta (u^{2}-u)$ on $D\subseteq \mathbb{R}^{d}$
(where $\beta \geq 0$ and $\beta\not\equiv 0$). Let $\lambda_{c}$ denote the
generalized principal eigenvalue for the operator $L+\beta $ on $D$ and assume
that it is finite. When $\lambda_{c}>0$ and $L+\beta-\lambda_{c}$ satisfies
certain spectral theoretical conditions, we prove that the random measure $\exp
\{-\lambda_{c}t\}X_{t}$ converges almost surely in the vague topology as $t$
tends to infinity. This result is motivated by a cluster of articles due to
Asmussen and Hering dating from the mid-seventies as well as the more recent
work concerning analogous results for superdiffusions of \cite{ET,EW}. We
extend significantly the results in \cite{AH76,AH77} and include some key
examples of the branching process literature. As far as the proofs are
concerned, we appeal to modern techniques concerning martingales and `spine'
decompositions or `immortal particle pictures'.
| math.PR | let x be the branching particle diffusion corresponding to the operator lubeta u2u on dsubseteq mathbbrd where beta geq 0 and betanotequiv 0 let lambda_c denote the generalized principal eigenvalue for the operator lbeta on d and assume that it is finite when lambda_c0 and lbetalambda_c satisfies certain spectral theoretical conditions we prove that the random measure exp lambda_ctx_t converges almost surely in the vague topology as t tends to infinity this result is motivated by a cluster of articles due to asmussen and hering dating from the midseventies as well as the more recent work concerning analogous results for superdiffusions of citeetew we extend significantly the results in citeah76ah77 and include some key examples of the branching process literature as far as the proofs are concerned we appeal to modern techniques concerning martingales and spine decompositions or immortal particle pictures | [['let', 'x', 'be', 'the', 'branching', 'particle', 'diffusion', 'corresponding', 'to', 'the', 'operator', 'lubeta', 'u2u', 'on', 'dsubseteq', 'mathbbrd', 'where', 'beta', 'geq', '0', 'and', 'betanotequiv', '0', 'let', 'lambda_c', 'denote', 'the', 'generalized', 'principal', 'eigenvalue', 'for', 'the', 'operator', 'lbeta', 'on', 'd', 'and', 'assume', 'that', 'it', 'is', 'finite', 'when', 'lambda_c0', 'and', 'lbetalambda_c', 'satisfies', 'certain', 'spectral', 'theoretical', 'conditions', 'we', 'prove', 'that', 'the', 'random', 'measure', 'exp', 'lambda_ctx_t', 'converges', 'almost', 'surely', 'in', 'the', 'vague', 'topology', 'as', 't', 'tends', 'to', 'infinity', 'this', 'result', 'is', 'motivated', 'by', 'a', 'cluster', 'of', 'articles', 'due', 'to', 'asmussen', 'and', 'hering', 'dating', 'from', 'the', 'midseventies', 'as', 'well', 'as', 'the', 'more', 'recent', 'work', 'concerning', 'analogous', 'results', 'for', 'superdiffusions', 'of', 'citeetew', 'we', 'extend', 'significantly', 'the', 'results', 'in', 'citeah76ah77', 'and', 'include', 'some', 'key', 'examples', 'of', 'the', 'branching', 'process', 'literature', 'as', 'far', 'as', 'the', 'proofs', 'are', 'concerned', 'we', 'appeal', 'to', 'modern', 'techniques', 'concerning', 'martingales', 'and', 'spine', 'decompositions', 'or', 'immortal', 'particle', 'pictures']] | [-0.053347959222392764, 0.13567067028316496, -0.06912439041943462, 0.05438693441517696, -0.06205422893959891, -0.15341621860516844, 0.03780915676529899, 0.32125993354970384, -0.28664340997390725, -0.20605533414140895, 0.13270864407704383, -0.33884527336254167, -0.11875159991042758, 0.17787314041483182, -0.10570418032369128, 0.046562714005510014, 0.0479199815472519, 0.0821993642659099, -0.007301876833231223, -0.20562602231899899, 0.3127559078771069, 0.004786569938167102, 0.20216409922060039, 0.07805007909666058, 0.07136005119493886, 0.014538786035996896, -0.05393055232793645, -0.003892186896323606, -0.21185420191797202, 0.05781988844068514, 0.2302014833005766, 0.13161042723114844, 0.2854200599887581, -0.3656651834888315, -0.1468502792322801, 0.18222055680946345, 0.20490793278527067, 0.0038242501379163176, 0.0252684299707956, -0.2900844199927869, 0.1360696450324246, -0.11218170921007792, -0.17678629305144702, -0.0542767687873156, 0.0741772443599378, 0.05485721496451232, -0.2940671719058796, 0.07219140865598564, 0.12662797614121465, 0.041372711649509494, -0.029890839703794983, -0.19493398478737584, -0.009362547970549376, 0.07414228577033134, 0.08351001500268466, 0.08338325935312443, 0.09557048843621656, -0.07486754109289635, -0.1318501863801093, 0.3653232198070597, -0.06566972676319656, -0.20471815255091147, 0.15782389983672787, -0.17074471430732283, -0.14065614455138092, 0.0608144313890349, 0.12362103791976417, 0.1435371949496955, -0.0781905733381993, 0.18329642972891666, -0.07689444531203696, 0.09095319663605618, 0.09646566542279389, 0.012500022934680735, 0.08543758624992161, 0.10520111202538289, 0.11300026937215417, 0.10042975374790668, 0.0021867647922287387, -0.08253221314883342, -0.32661737331913576, -0.15595753256541986, -0.1937474121891514, 0.16611881082084168, -0.10929984283327401, -0.16977577489559298, 0.3020624281148668, 0.13384661300418277, 0.23247306128204973, 0.12660411669079352, 0.21748747949798902, 0.11266094368485803, -0.012219008707863934, 0.07199269506942343, 0.11230023100959241, 0.2143094986539196, 0.10182467215453032, -0.14038706081315738, 0.07500291833464333, 0.10093869332189637] |
709.0273 | Chemical evolution of Seyfert galaxies | We computed the chemical evolution of Seyfert galaxies, residing in spiral
bulges, based on an updated model for the Milky Way bulge with updated
calculations of the Galactic potential and of the feedback from the central
supermassive black hole (BH) in a spherical approximation. We followed the
evolution of bulges of masses $2\times 10^{9}-10^{11}M_{\odot}$ by scaling the
star-formation efficiency and the bulge scalelenght as in the inverse-wind
scenario for ellipticals. We successfully reproduced the observed relation
between the BH mass and that of the host bulge, and the observed peak nuclear
bolometric luminosity. The observed metal overabundances are easily achieved,
as well as the constancy of chemical abundances with the redshift.
| astro-ph | we computed the chemical evolution of seyfert galaxies residing in spiral bulges based on an updated model for the milky way bulge with updated calculations of the galactic potential and of the feedback from the central supermassive black hole bh in a spherical approximation we followed the evolution of bulges of masses 2times 1091011m_odot by scaling the starformation efficiency and the bulge scalelenght as in the inversewind scenario for ellipticals we successfully reproduced the observed relation between the bh mass and that of the host bulge and the observed peak nuclear bolometric luminosity the observed metal overabundances are easily achieved as well as the constancy of chemical abundances with the redshift | [['we', 'computed', 'the', 'chemical', 'evolution', 'of', 'seyfert', 'galaxies', 'residing', 'in', 'spiral', 'bulges', 'based', 'on', 'an', 'updated', 'model', 'for', 'the', 'milky', 'way', 'bulge', 'with', 'updated', 'calculations', 'of', 'the', 'galactic', 'potential', 'and', 'of', 'the', 'feedback', 'from', 'the', 'central', 'supermassive', 'black', 'hole', 'bh', 'in', 'a', 'spherical', 'approximation', 'we', 'followed', 'the', 'evolution', 'of', 'bulges', 'of', 'masses', '2times', '1091011m_odot', 'by', 'scaling', 'the', 'starformation', 'efficiency', 'and', 'the', 'bulge', 'scalelenght', 'as', 'in', 'the', 'inversewind', 'scenario', 'for', 'ellipticals', 'we', 'successfully', 'reproduced', 'the', 'observed', 'relation', 'between', 'the', 'bh', 'mass', 'and', 'that', 'of', 'the', 'host', 'bulge', 'and', 'the', 'observed', 'peak', 'nuclear', 'bolometric', 'luminosity', 'the', 'observed', 'metal', 'overabundances', 'are', 'easily', 'achieved', 'as', 'well', 'as', 'the', 'constancy', 'of', 'chemical', 'abundances', 'with', 'the', 'redshift']] | [-0.02230671457433646, 0.04202134058868978, -0.060013952639398224, 0.14585780140456803, -0.035734226038559865, -0.040373067888473974, 0.056460796530708804, 0.41388682113669883, -0.12433162370884637, -0.37281205265893846, 0.002292041740499847, -0.2791444384108443, -0.008294962839983882, 0.20998361193651863, 0.001238741522650619, 0.015867396616675983, -0.030969414445614324, -0.09758898650441285, -0.09691721004091626, -0.270223253081903, 0.3243749791397414, 0.06453844841672193, 0.12059904390587173, -0.07936020405672559, 0.06006469237489985, -0.09512402540192418, -0.02619099379474417, -0.026293658987841133, -0.153201628544001, 0.042177720960878996, 0.21975136446497412, 0.14355319294087385, 0.1788568566425131, -0.3801602977199839, -0.18098049811749728, 0.06635112771678955, 0.23788752800297983, 0.06168729309505279, -0.20125788411471582, -0.2342810342942766, 0.03969916103219767, -0.2302879558463897, -0.19099464754086978, 0.08744134385685581, 0.03455105906356673, 0.04659622675844229, -0.20165371859805026, 0.21386392678159777, 0.06461988130281039, 0.043307027157325054, -0.1516380305829193, -0.09836493164232564, -0.14174534533591515, 0.08567004612382126, 0.03131991420197514, 0.07108789908810767, 0.27230408744578927, -0.12458447437656514, -0.04145947777785771, 0.42353241815479525, -0.06789057321607246, 0.017114805694191007, 0.17828996524154936, -0.2489338154998531, -0.12899376841586666, 0.03154437686530275, 0.16949903227628096, 0.09392969364539609, -0.15098188059359635, 0.042953654848158766, 0.011505060654065204, 0.20147719683868964, 0.009041986526460002, 0.052004257563091474, 0.35571975023443, 0.13787010493218352, -0.028535449118011657, 0.05850063062725811, -0.16023595291702503, -0.07203793918731016, -0.229731871520058, -0.09861663672560399, -0.14421334038616732, 0.09846503129485276, -0.2071493353364656, -0.1049680131051792, 0.3575667596396503, 0.04583405405966514, 0.29521560510022377, 0.07454241486186153, 0.30467495277797413, 0.08999316545241777, 0.15105024976399514, 0.12357572113684968, 0.35877892110975235, 0.2284512896060841, 0.09559928895606565, -0.3237562959718971, 0.08610032682110547, 0.04620955584553677] |
709.0274 | Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures Bounded
from Below | We obtain upper bounds for the isoperimetric quotients of extrinsic balls of
submanifolds in ambient spaces which have a lower bound on their radial
sectional curvatures. The submanifolds are themselves only assumed to have
lower bounds on the radial part of the mean curvature vector field and on the
radial part of the intrinsic unit normals at the boundaries of the extrinsic
spheres, respectively. In the same vein we also establish lower bounds on the
mean exit time for Brownian motion in the extrinsic balls. In those cases,
where we may extend our analysis to hold all the way to infinity, we apply a
capacity comparison technique to obtain a sufficient condition for the
submanifolds to be parabolic, i.e. a condition which will guarantee that any
Brownian particle, which is free to move around in the whole submanifold, is
bound to eventually revisit any given neighborhood of its starting point with
probability 1. The results of this paper are in a rough sense dual to similar
results obtained previously by the present authors in complementary settings
where we assume that the curvatures are bounded from above.
| math.DG math.AP | we obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures the submanifolds are themselves only assumed to have lower bounds on the radial part of the mean curvature vector field and on the radial part of the intrinsic unit normals at the boundaries of the extrinsic spheres respectively in the same vein we also establish lower bounds on the mean exit time for brownian motion in the extrinsic balls in those cases where we may extend our analysis to hold all the way to infinity we apply a capacity comparison technique to obtain a sufficient condition for the submanifolds to be parabolic ie a condition which will guarantee that any brownian particle which is free to move around in the whole submanifold is bound to eventually revisit any given neighborhood of its starting point with probability 1 the results of this paper are in a rough sense dual to similar results obtained previously by the present authors in complementary settings where we assume that the curvatures are bounded from above | [['we', 'obtain', 'upper', 'bounds', 'for', 'the', 'isoperimetric', 'quotients', 'of', 'extrinsic', 'balls', 'of', 'submanifolds', 'in', 'ambient', 'spaces', 'which', 'have', 'a', 'lower', 'bound', 'on', 'their', 'radial', 'sectional', 'curvatures', 'the', 'submanifolds', 'are', 'themselves', 'only', 'assumed', 'to', 'have', 'lower', 'bounds', 'on', 'the', 'radial', 'part', 'of', 'the', 'mean', 'curvature', 'vector', 'field', 'and', 'on', 'the', 'radial', 'part', 'of', 'the', 'intrinsic', 'unit', 'normals', 'at', 'the', 'boundaries', 'of', 'the', 'extrinsic', 'spheres', 'respectively', 'in', 'the', 'same', 'vein', 'we', 'also', 'establish', 'lower', 'bounds', 'on', 'the', 'mean', 'exit', 'time', 'for', 'brownian', 'motion', 'in', 'the', 'extrinsic', 'balls', 'in', 'those', 'cases', 'where', 'we', 'may', 'extend', 'our', 'analysis', 'to', 'hold', 'all', 'the', 'way', 'to', 'infinity', 'we', 'apply', 'a', 'capacity', 'comparison', 'technique', 'to', 'obtain', 'a', 'sufficient', 'condition', 'for', 'the', 'submanifolds', 'to', 'be', 'parabolic', 'ie', 'a', 'condition', 'which', 'will', 'guarantee', 'that', 'any', 'brownian', 'particle', 'which', 'is', 'free', 'to', 'move', 'around', 'in', 'the', 'whole', 'submanifold', 'is', 'bound', 'to', 'eventually', 'revisit', 'any', 'given', 'neighborhood', 'of', 'its', 'starting', 'point', 'with', 'probability', '1', 'the', 'results', 'of', 'this', 'paper', 'are', 'in', 'a', 'rough', 'sense', 'dual', 'to', 'similar', 'results', 'obtained', 'previously', 'by', 'the', 'present', 'authors', 'in', 'complementary', 'settings', 'where', 'we', 'assume', 'that', 'the', 'curvatures', 'are', 'bounded', 'from', 'above']] | [-0.1175601802445868, 0.10397308327943608, -0.09859979633987952, 0.06440127488558671, -0.07145131861300318, -0.100802219267534, 0.03799566463504728, 0.3625685327225715, -0.23852733330411827, -0.2667905287998628, 0.13486353969714673, -0.28091175883247327, -0.11355826055746206, 0.18878670253412877, -0.13550669500561713, 0.028778444112200912, 0.03891966398680202, 0.11465539304058879, -0.06588727212010292, -0.2751932673316489, 0.35005577090847234, -0.001113128092300187, 0.2134067198844947, 0.07919150727465549, 0.07475285704769645, -0.04088549415915153, 0.008410129977780725, 0.02888578395691526, -0.24083657849679252, 0.15027415102487932, 0.1922877367475741, 0.051258895055501054, 0.24102947584438508, -0.4079580998939452, -0.19586582256541138, 0.15074506086067005, 0.14506202771939258, 0.06325872883924173, -0.01403602715944671, -0.2832015076857461, 0.11296092073485677, -0.04193990860354676, -0.16796980950710994, -0.02973584087549268, 0.0037749379664228887, 0.03533505414918025, -0.25010459174111643, 0.06894306373617848, 0.11807406522203437, 0.0413529833699564, -0.12966150760472883, -0.1421708140036552, -0.015907419739060746, 0.140552743520808, 0.05434537977380778, 0.029247752055325496, 0.12664243500674724, -0.07987973339084575, -0.07275698738365424, 0.33625819548083247, -0.10871582637260598, -0.2924314721547548, 0.16447776648677856, -0.20061090118151598, -0.11246790572179742, 0.1071045162714517, 0.20497704013839105, 0.1352494769098778, -0.12993963735969236, 0.12180308046999828, -0.058578717120502506, 0.07334820331422917, 0.1095335390468839, 0.02836550044281388, 0.14262551144366303, 0.07747379857145491, 0.17040670966987387, 0.14047134236209796, -0.08856467266757322, -0.08788587997000294, -0.36758754557619494, -0.20366399403178304, -0.18659218467655592, 0.06048454174594153, -0.12027496286730159, -0.1624498709877302, 0.324690271609573, 0.10447893581936456, 0.24741886300285176, 0.14075289228342733, 0.27189262559817684, 0.09371172827925102, 0.052162630054148375, 0.12168217295332015, 0.2602090788454378, 0.14042872481513768, 0.06377385086154626, -0.10948018393459259, 0.03562942467459668, 0.10918770371509093] |
709.0275 | R-matrix propagation with adiabatic bases for the photoionization
spectra of atoms in magnetic fields | The photoionization spectrum of an atom in a magnetic field is calculated by
combining R-matrix propagation with local adiabatic basis expansions. This
approach considerably increases the speed and the energy range over which
calculations can be performed compared to previous methods, allowing one to
obtain accurate partial and total cross sections over an extended energy range
for an arbitrary magnetic field strength. In addition, the cross sections for
all atoms of interest can be calculated simultaneously in a single calculation.
Multichannel quantum defect theory allows for a detailed analysis of the
resonance structure in the continuum. Calculated cross sections for a range of
atoms in both laboratory and astrophysical field strengths are presented.
| physics.atom-ph physics.comp-ph | the photoionization spectrum of an atom in a magnetic field is calculated by combining rmatrix propagation with local adiabatic basis expansions this approach considerably increases the speed and the energy range over which calculations can be performed compared to previous methods allowing one to obtain accurate partial and total cross sections over an extended energy range for an arbitrary magnetic field strength in addition the cross sections for all atoms of interest can be calculated simultaneously in a single calculation multichannel quantum defect theory allows for a detailed analysis of the resonance structure in the continuum calculated cross sections for a range of atoms in both laboratory and astrophysical field strengths are presented | [['the', 'photoionization', 'spectrum', 'of', 'an', 'atom', 'in', 'a', 'magnetic', 'field', 'is', 'calculated', 'by', 'combining', 'rmatrix', 'propagation', 'with', 'local', 'adiabatic', 'basis', 'expansions', 'this', 'approach', 'considerably', 'increases', 'the', 'speed', 'and', 'the', 'energy', 'range', 'over', 'which', 'calculations', 'can', 'be', 'performed', 'compared', 'to', 'previous', 'methods', 'allowing', 'one', 'to', 'obtain', 'accurate', 'partial', 'and', 'total', 'cross', 'sections', 'over', 'an', 'extended', 'energy', 'range', 'for', 'an', 'arbitrary', 'magnetic', 'field', 'strength', 'in', 'addition', 'the', 'cross', 'sections', 'for', 'all', 'atoms', 'of', 'interest', 'can', 'be', 'calculated', 'simultaneously', 'in', 'a', 'single', 'calculation', 'multichannel', 'quantum', 'defect', 'theory', 'allows', 'for', 'a', 'detailed', 'analysis', 'of', 'the', 'resonance', 'structure', 'in', 'the', 'continuum', 'calculated', 'cross', 'sections', 'for', 'a', 'range', 'of', 'atoms', 'in', 'both', 'laboratory', 'and', 'astrophysical', 'field', 'strengths', 'are', 'presented']] | [-0.07760252408112556, 0.10726483530440652, -0.03027663248038925, 0.05333627097770176, 0.012151975312426818, -0.06524246510744622, 0.007374908092052602, 0.3996202018837222, -0.22684195016271771, -0.32424020302374806, -0.016574621630164967, -0.23955267052327395, -0.01733990492035462, 0.25781234924318847, 0.07783532375263759, 0.06221613364986482, 0.06030726411989767, 0.06621967032304511, -0.06907708502366347, -0.18471083443290431, 0.2694517547631455, 0.11261179010008783, 0.2608481694705191, 0.10871826277106209, 0.043092107659914586, 0.07564494197166204, -0.007466117200334515, 0.038972849199400014, -0.12503275583061366, 0.13197206226960484, 0.2844661629173608, 0.03655027309679879, 0.1882525726728372, -0.44222121951129056, -0.23589849453089776, 0.05078634846362129, 0.15947549334372832, 0.1570880482647057, -0.02445190977016711, -0.2783466011112704, 0.04644399509658065, -0.19439700133768859, -0.12112939150064392, -0.10715408225964128, 0.016821697658232816, 0.01629026424535344, -0.3140629213102434, 0.03262306935673134, -0.0404419899481324, 0.07869293360575051, -0.1254422324055402, -0.1220817941331626, -0.005470647488976211, 0.07398758347319291, -0.0003552353936783244, 0.029572367300361856, 0.1781566300660174, -0.11516686502341346, -0.11628624225711137, 0.3785873102807168, -0.10474899974115918, -0.17156688585687857, 0.14163318441241188, -0.13863378905447044, -0.07656408941493766, 0.2223488335390534, 0.1655367901239676, 0.13098568999233234, -0.14126452357782282, 0.10827049548558446, 0.015769606480885923, 0.18778361212173725, 0.06519542539294447, 0.023121594814006732, 0.1700666447755246, 0.1141878475200187, 0.010332492921929972, 0.06036573207928939, -0.1385118869355822, -0.11843854535074361, -0.3071632729431169, -0.15622744648869302, -0.11401504715101018, 0.03379210177499933, -0.08021376410432765, -0.1347667756902499, 0.3885785493900818, 0.11951584621143024, 0.23669182791053195, -0.009131995045200847, 0.30435110985062425, 0.18377633399404256, 0.0585493083581724, 0.027682307345248694, 0.28805289270801354, 0.2179818101725912, 0.07306186766446099, -0.20379364978835252, 0.0074660027754056245, 0.0325302543876841] |
709.0276 | Transport properties controlled by a thermostat: An extended dissipative
particle dynamics thermostat | We introduce a variation of the dissipative particle dynamics (DPD)
thermostat that allows for controlling transport properties of molecular
fluids. The standard DPD thermostat acts only on a relative velocity along the
interatomic axis. Our extension includes the damping of the perpendicular
components of the relative velocity, yet keeping the advantages of conserving
Galilei invariance and within our error bar also hydrodynamics. This leads to a
second friction parameter for tuning the transport properties of the system.
Numerical simulations of a simple Lennard-Jones fluid and liquid water
demonstrate a very sensitive behaviour of the transport properties, e.g.,
viscosity, on the strength of the new friction parameter. We envisage that the
new thermostat will be very useful for the coarse-grained and adaptive
resolution simulations of soft matter, where the diffusion constants and
viscosity of the coarse-grained models are typically too high/low,
respectively, compared to all-atom simulations.
| cond-mat.soft cond-mat.stat-mech | we introduce a variation of the dissipative particle dynamics dpd thermostat that allows for controlling transport properties of molecular fluids the standard dpd thermostat acts only on a relative velocity along the interatomic axis our extension includes the damping of the perpendicular components of the relative velocity yet keeping the advantages of conserving galilei invariance and within our error bar also hydrodynamics this leads to a second friction parameter for tuning the transport properties of the system numerical simulations of a simple lennardjones fluid and liquid water demonstrate a very sensitive behaviour of the transport properties eg viscosity on the strength of the new friction parameter we envisage that the new thermostat will be very useful for the coarsegrained and adaptive resolution simulations of soft matter where the diffusion constants and viscosity of the coarsegrained models are typically too highlow respectively compared to allatom simulations | [['we', 'introduce', 'a', 'variation', 'of', 'the', 'dissipative', 'particle', 'dynamics', 'dpd', 'thermostat', 'that', 'allows', 'for', 'controlling', 'transport', 'properties', 'of', 'molecular', 'fluids', 'the', 'standard', 'dpd', 'thermostat', 'acts', 'only', 'on', 'a', 'relative', 'velocity', 'along', 'the', 'interatomic', 'axis', 'our', 'extension', 'includes', 'the', 'damping', 'of', 'the', 'perpendicular', 'components', 'of', 'the', 'relative', 'velocity', 'yet', 'keeping', 'the', 'advantages', 'of', 'conserving', 'galilei', 'invariance', 'and', 'within', 'our', 'error', 'bar', 'also', 'hydrodynamics', 'this', 'leads', 'to', 'a', 'second', 'friction', 'parameter', 'for', 'tuning', 'the', 'transport', 'properties', 'of', 'the', 'system', 'numerical', 'simulations', 'of', 'a', 'simple', 'lennardjones', 'fluid', 'and', 'liquid', 'water', 'demonstrate', 'a', 'very', 'sensitive', 'behaviour', 'of', 'the', 'transport', 'properties', 'eg', 'viscosity', 'on', 'the', 'strength', 'of', 'the', 'new', 'friction', 'parameter', 'we', 'envisage', 'that', 'the', 'new', 'thermostat', 'will', 'be', 'very', 'useful', 'for', 'the', 'coarsegrained', 'and', 'adaptive', 'resolution', 'simulations', 'of', 'soft', 'matter', 'where', 'the', 'diffusion', 'constants', 'and', 'viscosity', 'of', 'the', 'coarsegrained', 'models', 'are', 'typically', 'too', 'highlow', 'respectively', 'compared', 'to', 'allatom', 'simulations']] | [-0.14539979013196866, 0.15123797958267146, -0.13774875300968514, 0.01586703833208644, -0.058401193872800676, -0.1410771234009158, -0.0032640106405998613, 0.3299046659970592, -0.30398868029487547, -0.27906326032404244, 0.03908979484112933, -0.2350804563869666, -0.10008457403886935, 0.1928184099407096, 0.0051424501463770865, 0.050427017983948365, 0.05832388732132727, -0.023785642516831386, -0.055789121996675586, -0.17479005611244716, 0.2358116301675809, 0.09936938265274312, 0.2249602116323237, 0.05245510633906414, 0.16272811453853703, -0.025775571030982096, -0.004599092279336062, 0.0506982055765673, -0.19886047170419197, 0.06985551720035488, 0.13935182383396877, -0.039479677880118635, 0.23291965954262636, -0.41053827290648015, -0.24723161149384645, 0.025298221640545748, 0.13169009265327297, 0.12287550351967842, -0.04387839985208521, -0.22514715522591924, 0.02098547104617645, -0.19266857621741706, -0.15709630084737877, -0.12455284179124082, 0.023137299976600655, 0.09474284165390318, -0.2545351222301994, 0.1624119329216071, 0.02562906002186255, 0.07414460009413547, -0.06580285696224471, -0.09987107694775252, -0.04883825284236207, 0.09538999025404839, 0.04634658408447586, -0.023203466736294073, 0.24365438390523195, -0.1737452160711561, -0.041603712067971456, 0.4489890917364893, -0.0869342400563945, -0.26989424992995015, 0.2869963053003724, -0.11107613268982748, -0.099478004753975, 0.14509545733895282, 0.16793730515215932, 0.1025527588107848, -0.14371622366316875, 0.05738795674405992, -0.012464331180371086, 0.1895134198511469, 0.027395195126983112, -0.0004100969446630313, 0.1786812818571042, 0.1944311516841167, 0.03873002560731979, 0.11779481859452187, -0.1388853567548032, -0.15344564382243772, -0.31676854231748086, -0.19151965167277074, -0.1798012943520885, 0.014400685540047186, -0.13876300421764207, -0.15006223906409638, 0.3832076277230577, 0.18007061574608088, 0.1467060430184135, 0.06506824038826443, 0.29325041762264126, 0.06011523540966727, 0.04427591404267426, 0.06230922330588359, 0.2715538451897687, 0.16506895722243292, 0.11744380244856764, -0.3163979011051887, 0.0650070230187527, 0.049389928328836784] |
709.0277 | Nuclear Structure Aspects of the Neutrinoless Double Beta Decay | In this article, we analyze some nuclear structure aspects of the
neutrinoless double beta decay nuclear matrix elements (NME), in the framework
of the Interacting Shell Model. We give results for the decays of 48Ca, 76Ge,
82Se, 124Sn, 128Te, 130Te, and 136Xe, using improved effective interactions and
valence spaces. We examine the dependence of the NME's on the effective
interaction and the valence space, and analyze the effects of the short range
correlations and the finite size of the nucleon. Finally we study the influence
of the deformation on the values of the NME's.
| nucl-th | in this article we analyze some nuclear structure aspects of the neutrinoless double beta decay nuclear matrix elements nme in the framework of the interacting shell model we give results for the decays of 48ca 76ge 82se 124sn 128te 130te and 136xe using improved effective interactions and valence spaces we examine the dependence of the nmes on the effective interaction and the valence space and analyze the effects of the short range correlations and the finite size of the nucleon finally we study the influence of the deformation on the values of the nmes | [['in', 'this', 'article', 'we', 'analyze', 'some', 'nuclear', 'structure', 'aspects', 'of', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'nuclear', 'matrix', 'elements', 'nme', 'in', 'the', 'framework', 'of', 'the', 'interacting', 'shell', 'model', 'we', 'give', 'results', 'for', 'the', 'decays', 'of', '48ca', '76ge', '82se', '124sn', '128te', '130te', 'and', '136xe', 'using', 'improved', 'effective', 'interactions', 'and', 'valence', 'spaces', 'we', 'examine', 'the', 'dependence', 'of', 'the', 'nmes', 'on', 'the', 'effective', 'interaction', 'and', 'the', 'valence', 'space', 'and', 'analyze', 'the', 'effects', 'of', 'the', 'short', 'range', 'correlations', 'and', 'the', 'finite', 'size', 'of', 'the', 'nucleon', 'finally', 'we', 'study', 'the', 'influence', 'of', 'the', 'deformation', 'on', 'the', 'values', 'of', 'the', 'nmes']] | [-0.02781307366379398, 0.23315797276557126, -0.06037159744672418, 0.15171192373778236, 0.052866312625639615, -0.045075342584242846, 0.08353869038995633, 0.33387100438963857, -0.20384549842949243, -0.24463663148406417, -0.003191185238315387, -0.3237460141288156, -0.07925421759941952, 0.1322839469128744, 0.09998230032494014, 0.04594784585571417, 0.06966782844764122, 0.05111947080474644, -0.1767818822297565, -0.20661971569209894, 0.34227650443914326, 0.09916141192785445, 0.22192483311618103, 0.14004376910111688, -0.0006460469854534901, 0.059200313982573596, -0.015305296871489151, -0.09617159326908803, -0.19748894146524687, 0.12984232865323492, 0.19631932817332626, 0.0802354296035272, 0.1886311425119044, -0.4211251247436442, -0.0962300818918788, 0.10991366746082426, 0.13182606501628624, 0.06640614335365752, -0.08302007743623108, -0.3397778437319311, 0.03611257805072881, -0.2804150521864203, -0.11787647602242476, -0.08403468083719069, 0.03895690896488885, 0.06472733055806144, -0.3064696061545042, 0.02791496018193008, -0.025960594589049195, 0.006958643073572758, -0.11355426675699493, -0.2702075358396, 0.11520801010997371, 0.1025125600615556, 0.10826804357992009, -0.049860855215229094, 0.1893859597893947, -0.10471557209297935, -0.05497959731741155, 0.37936051348422434, -0.040504913284824764, -0.1293019032343588, 0.06918067131389646, -0.2016441510455247, -0.13052747730522396, 0.11542346564299882, 0.1865506535296903, 0.1228082070146945, -0.12173786843158403, 0.1652578950154922, -0.011722836806934247, 0.18439433886174192, 0.016671974865838567, 0.07951466607405468, 0.12490076913518157, 0.25850987206510406, -0.04108283773777967, 0.07458300283426379, -0.16065547095136123, -0.08832867652799518, -0.3392902366579213, -0.14601377248169578, -0.09256469537603094, 0.029181928745411496, -0.09782871711386759, -0.15213252586173884, 0.4714847624727941, 0.04325672084505253, 0.14468012548031958, -0.010137746331004545, 0.2201598223021373, 0.045035133940821634, 0.040624282857839096, -0.028977112096556006, 0.31133617392024077, 0.23326749803419125, 0.04170525040318991, -0.3557896165652795, 0.06391884975056066, 0.08016025868957823] |
709.0278 | Galactic neutrino background from cosmic ray interaction with the ISM
content | We use a diffusive model for the propagation of Galactic cosmic rays to
estimate the charged pion production in interactions with protons of the
interstellar medium. Cosmic ray nuclei from proton to iron are considered and
the corresponding contribution to the neutrino secondary flux produced as a
result of spallation is also estimated.
| astro-ph | we use a diffusive model for the propagation of galactic cosmic rays to estimate the charged pion production in interactions with protons of the interstellar medium cosmic ray nuclei from proton to iron are considered and the corresponding contribution to the neutrino secondary flux produced as a result of spallation is also estimated | [['we', 'use', 'a', 'diffusive', 'model', 'for', 'the', 'propagation', 'of', 'galactic', 'cosmic', 'rays', 'to', 'estimate', 'the', 'charged', 'pion', 'production', 'in', 'interactions', 'with', 'protons', 'of', 'the', 'interstellar', 'medium', 'cosmic', 'ray', 'nuclei', 'from', 'proton', 'to', 'iron', 'are', 'considered', 'and', 'the', 'corresponding', 'contribution', 'to', 'the', 'neutrino', 'secondary', 'flux', 'produced', 'as', 'a', 'result', 'of', 'spallation', 'is', 'also', 'estimated']] | [-0.024541035110025474, 0.27364903218156816, -0.030316560174435167, 0.20600794664505026, -0.030679198816629512, -7.108078263524287e-05, 0.004484032737618347, 0.3782995891458583, -0.255441778251585, -0.2942740284257902, -0.08948838022177301, -0.3825725385884069, 0.0713712380669642, 0.17888129871110167, 0.09613779071226435, -0.03889024321798165, 0.014499946312873432, -0.009590034241313642, 0.009830096411466037, -0.17425485289181178, 0.32249900301531803, 0.23185423695710752, 0.21106485931097335, 0.10913471592906511, 0.1112123533395857, -0.03730124996904776, -0.09186998782306031, -0.057519157197466995, -0.08229165102732983, 0.10304788671398782, 0.2025456318877778, 0.09758621383071789, 0.05776796539155942, -0.42819607950184707, -0.27056574712525, 0.15704591720769145, 0.18599098977931547, 0.08753427917155314, -0.11292927504851008, -0.2414842333714917, 0.05662686807402181, -0.20890585874330322, -0.20485152042347868, 0.08724159394162444, -0.06594549716485418, 0.10130994759921758, -0.2678475360263069, 0.055437554828800646, -0.01700255608972478, -0.022037814858914265, -0.13264837033194402, -0.12300237239215453, -0.0053202833910033385, 0.07254357210729483, 0.201498082691786, 0.0806916648047572, 0.22629063368669516, -0.12780298486232256, -0.05435789212197909, 0.46671219929209296, -0.08738720640627984, -0.09224394236181704, 0.13869097909696823, -0.19569058751606136, -0.11754499932856492, 0.2325541812680521, 0.24796972782263216, 0.0756202500383809, -0.24267973831661468, 0.02323944067015787, -0.015973890692276775, 0.12030902330517629, 0.06336550025339678, -0.007241291248784313, 0.23327515520296008, 0.20258347924253992, 0.032606418420261934, 0.051169644373486624, -0.2007880872291214, 0.01476843496081683, -0.3221882205403779, -0.12295421337673687, -0.0954996863169209, 0.12978879232091373, -0.08204766108082247, -0.1567189082116732, 0.33012488311297206, 0.08167371529874937, 0.18572291099237945, -0.04139579373921426, 0.3198758748201829, 0.013664909354015693, -0.023318139805440913, 0.10470720745166237, 0.35561492988172005, 0.21982942317735474, 0.14967650179487635, -0.23725889758470486, 0.08214722504347281, 0.08450491367927138] |
709.0279 | Accounting for the Unresolved X-ray Background with Sterile Neutrino
Dark Matter | We consider a scenario where keV sterile neutrinos constitute all of the
currently inferred dark matter abundance, whose radiative decays could
potentially account for the flux contributions to the X-ray background
attributed to unresolved sources. Here we apply integrated flux methods to
results from the observations of the North and South Chandra deep fields in
order to deduce constraints on the sterile neutrino mass-mixing parameters.
| astro-ph | we consider a scenario where kev sterile neutrinos constitute all of the currently inferred dark matter abundance whose radiative decays could potentially account for the flux contributions to the xray background attributed to unresolved sources here we apply integrated flux methods to results from the observations of the north and south chandra deep fields in order to deduce constraints on the sterile neutrino massmixing parameters | [['we', 'consider', 'a', 'scenario', 'where', 'kev', 'sterile', 'neutrinos', 'constitute', 'all', 'of', 'the', 'currently', 'inferred', 'dark', 'matter', 'abundance', 'whose', 'radiative', 'decays', 'could', 'potentially', 'account', 'for', 'the', 'flux', 'contributions', 'to', 'the', 'xray', 'background', 'attributed', 'to', 'unresolved', 'sources', 'here', 'we', 'apply', 'integrated', 'flux', 'methods', 'to', 'results', 'from', 'the', 'observations', 'of', 'the', 'north', 'and', 'south', 'chandra', 'deep', 'fields', 'in', 'order', 'to', 'deduce', 'constraints', 'on', 'the', 'sterile', 'neutrino', 'massmixing', 'parameters']] | [-0.041929335784740174, 0.19861740450589702, -0.037243650294840336, 0.19223188114567444, -0.12425062180174372, -0.07046116188598367, 0.05078897599059229, 0.34709498531256733, -0.1911270898122054, -0.3800566776798895, 0.046320103300520436, -0.33184955809265376, 0.02124461537370315, 0.19605893256286017, 0.02866165406572131, -0.049637688311318366, 0.029623122554487333, -0.06192890682902474, -0.019982202551685847, -0.2535793587243041, 0.28952616325651226, 0.08599316259586395, 0.1766094029093018, 0.0552750805607782, 0.1007298690195267, -0.11714639080545076, -0.1147432953119278, -0.073333326411935, -0.12552839546249464, 0.046683545381977005, 0.23830619513128812, 0.13350501037113224, 0.10335100975532371, -0.4415306483037197, -0.25861802093971237, 0.18310051132911423, 0.18235015950810451, 0.03247978806209106, -0.024536178630436414, -0.3277557117148088, -0.004970692739320489, -0.16281918848219973, -0.14209878683949892, 0.005788664623665122, -0.07697580934573825, -0.05623220092831896, -0.30035330897483686, 0.09119499782816722, -0.07867789267598149, -0.06407767651745906, -0.1530943187383505, -0.18535503467115072, 0.03178465710236476, 0.03669064221903682, 0.1464767568440248, -0.01202181454640455, 0.16275131542665455, -0.17488382266691097, -0.10884400396966017, 0.39501598063104143, -0.11128045638414243, -0.035836798661889935, 0.12101335008986867, -0.16200310384424832, -0.2215133819370889, 0.16615004510117265, 0.20333866852407273, 0.04887602050618555, -0.18669015135472783, 0.06961758639573908, -0.06223215284900596, 0.23499716298224835, 0.01228326792613818, 0.052865324821323154, 0.3590807335594526, 0.14009994712765686, 0.07699300345176688, 0.04507542174810974, -0.2602501314169226, -0.0034590754013221997, -0.30810587394696015, -0.04965266668452666, -0.05078620508922121, 0.1001289640338375, -0.05389317453888137, -0.1255222920820905, 0.36934166588247397, 0.17165804757521702, 0.17467253094968888, -0.005295183466604123, 0.3480179004657727, 0.053661809431818815, 0.06654396101545829, 0.0670466478770742, 0.3586815940359464, 0.19413223117231748, 0.10492817447878994, -0.2256457888127233, -0.010075208773979773, -0.003800106972742539] |
709.028 | Asteroseismological constraints on the coolest GW Vir variable star (PG
1159-type)PG 0122+200 | We present an asteroseismological study on PG 0122+200, the coolest known
pulsating PG1159 (GW Vir) star. Our results are based on an augmented set of
the full PG1159 evolutionary models recently presented by Miller Bertolami &
Althaus (2006). We perform extensive computations of adiabatic g-mode pulsation
periods on PG1159 evolutionary models with stellar masses ranging from 0.530 to
0.741 Msun. We derive a stellar mass of 0.626 Msun from a comparison between
the observed period spacing and the computed asymptotic period spacing, and a
stellar mass of 0.567 Msun by comparing the observed period spacing with the
average of the computed period spacing. We also find, on the basis of a
period-fit procedure, an asteroseismological model representative of PG
0122+200 which is able to reproduce the observed period pattern with an average
of the period differences of 0.88 s. The model has an effective temperature of
81500 K, a stellar mass of 0.556 Msun, a surface gravity log g= 7.65, a stellar
luminosity and radius of log(L/Lsun)= 1.14 and log(R/Rsun)= -1.73,
respectively, and a He-rich envelope thickness of Menv= 0.019 Msun. We derive a
seismic distance of about 614 pc and a parallax of about 1.6 mas. The results
of the period-fit analysis carried out in this work suggest that the
asteroseismological mass of PG 0122+200 could be 6-20 % lower than thought
hitherto and in closer agreement (to within 5 %) with the spectroscopic mass.
This result suggests that a reasonable consistency between the stellar mass
values obtained from spectroscopy and asteroseismology can be expected when
detailed PG1159 evolutionary models are considered.
| astro-ph | we present an asteroseismological study on pg 0122200 the coolest known pulsating pg1159 gw vir star our results are based on an augmented set of the full pg1159 evolutionary models recently presented by miller bertolami althaus 2006 we perform extensive computations of adiabatic gmode pulsation periods on pg1159 evolutionary models with stellar masses ranging from 0530 to 0741 msun we derive a stellar mass of 0626 msun from a comparison between the observed period spacing and the computed asymptotic period spacing and a stellar mass of 0567 msun by comparing the observed period spacing with the average of the computed period spacing we also find on the basis of a periodfit procedure an asteroseismological model representative of pg 0122200 which is able to reproduce the observed period pattern with an average of the period differences of 088 s the model has an effective temperature of 81500 k a stellar mass of 0556 msun a surface gravity log g 765 a stellar luminosity and radius of logllsun 114 and logrrsun 173 respectively and a herich envelope thickness of menv 0019 msun we derive a seismic distance of about 614 pc and a parallax of about 16 mas the results of the periodfit analysis carried out in this work suggest that the asteroseismological mass of pg 0122200 could be 620 lower than thought hitherto and in closer agreement to within 5 with the spectroscopic mass this result suggests that a reasonable consistency between the stellar mass values obtained from spectroscopy and asteroseismology can be expected when detailed pg1159 evolutionary models are considered | [['we', 'present', 'an', 'asteroseismological', 'study', 'on', 'pg', '0122200', 'the', 'coolest', 'known', 'pulsating', 'pg1159', 'gw', 'vir', 'star', 'our', 'results', 'are', 'based', 'on', 'an', 'augmented', 'set', 'of', 'the', 'full', 'pg1159', 'evolutionary', 'models', 'recently', 'presented', 'by', 'miller', 'bertolami', 'althaus', '2006', 'we', 'perform', 'extensive', 'computations', 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709.0281 | Detrended Cross-Correlation Analysis: A New Method for Analyzing Two
Non-stationary Time Series | Here we propose a method, based on detrended covariance which we call
detrended cross-correlation analysis (DXA), to investigate power-law
cross-correlations between different simultaneously-recorded time series in the
presence of non-stationarity. We illustrate the method by selected examples
from physics, physiology, and finance.
| q-fin.ST cond-mat.stat-mech | here we propose a method based on detrended covariance which we call detrended crosscorrelation analysis dxa to investigate powerlaw crosscorrelations between different simultaneouslyrecorded time series in the presence of nonstationarity we illustrate the method by selected examples from physics physiology and finance | [['here', 'we', 'propose', 'a', 'method', 'based', 'on', 'detrended', 'covariance', 'which', 'we', 'call', 'detrended', 'crosscorrelation', 'analysis', 'dxa', 'to', 'investigate', 'powerlaw', 'crosscorrelations', 'between', 'different', 'simultaneouslyrecorded', 'time', 'series', 'in', 'the', 'presence', 'of', 'nonstationarity', 'we', 'illustrate', 'the', 'method', 'by', 'selected', 'examples', 'from', 'physics', 'physiology', 'and', 'finance']] | [-0.02904214789500324, 0.043942662614693005, -0.17914192944129065, 0.14444939592262593, -0.03777351354322646, -0.12144743450122272, 0.04767899008513224, 0.39515785121063635, -0.27353622412263623, -0.29022959631118106, 0.06946959682433616, -0.31047740256095807, -0.2944752429952709, 0.2560359423798395, -0.035004224185263964, 0.03510308579155585, -0.03946037972118796, -0.08842843489312543, -0.03218128498098472, -0.2005868200667021, 0.296555462679485, 0.017395613442470387, 0.3480195745984774, -0.03127991436503646, 0.08641908854734516, 0.02968341209812135, -0.20751093596038295, 0.02050365484887507, -0.14460323442046236, 0.07642823545171357, 0.19490370788134453, 0.12665985528061666, 0.36272508219429633, -0.39753526812646445, -0.20731267879330895, 0.12198886588760992, 0.12486765274732578, 0.03049958330045295, -0.029923095200324386, -0.3324110646868443, 0.029064414613857503, -0.1400676938909583, -0.03282064328924185, -0.15809089448530136, -0.003119984278228225, 0.04262971113117912, -0.2619318239754293, 0.2178228015034664, -0.019871668912833783, 0.15797723024492946, -0.02430073160496427, -0.0706258166422386, 0.05995792888740941, 0.09610872645294521, 0.10298583586132382, -0.10476770983702254, 0.12403262261210418, -0.04346207738286111, -0.1436259835367886, 0.2726012035954471, -0.12593292306381754, -0.14866207649068133, 0.14251317818103948, -0.16181212869222936, -0.1883059658746167, 0.012007825917041883, 0.2916467722232749, 0.0669900683413555, -0.2159677521984388, 0.060625686535963834, 0.023100269753940222, 0.22836310718571995, 0.038265135207372465, -0.03148837328502318, 0.16246446526450356, 0.17077061777264335, -0.019197035137927386, 0.17866708049777805, -0.2126904683551047, -0.07169052989153964, -0.3169602197197425, -0.0900051263956035, -0.22576672715566506, 0.025052951946968167, -0.13925701411541766, -0.1675503997859068, 0.5024623689128132, 0.26513076757603304, 0.1311478090540665, 0.11704661061408043, 0.28756776025019043, 0.10360434226600862, -0.03350087400616669, 0.04909801382071725, 0.1554687420224271, 0.10187424694914825, 0.1253285534202871, -0.20089777176858994, 0.03391944384202361, 0.0763525777927986] |
709.0282 | Theoretical progress on the V_us determination from tau decays | A very precise determination of V_us can be obtained from the semi-inclusive
hadronic decay width of the tau lepton into final states with strangeness. The
ratio of the Cabibbo-suppressed and Cabibbo-allowed tau decay widths directly
measures (V_us/V_ud)^2, up to very small SU(3)-breaking corrections which can
be theoretically estimated with the needed accuracy. Together with previous LEP
and CLEO data, the recent measurements by Babar and Belle of some
Cabibbo-suppressed tau decays imply V_us= 0.2165 +- 0.0026_exp +- 0.0005_th,
which is already competitive with the standard extraction from K_l3 decays. The
uncertainty is largely dominated by experimental errors and should be easily
reduced with the high statistics of the B factories, providing the most
accurate determination of this parameter. A 1% experimental precision on the
Cabibbo-suppressed tau decay width would translate into a 0.6% uncertainty on
V_us.
| hep-ph hep-ex | a very precise determination of v_us can be obtained from the semiinclusive hadronic decay width of the tau lepton into final states with strangeness the ratio of the cabibbosuppressed and cabibboallowed tau decay widths directly measures v_usv_ud2 up to very small su3breaking corrections which can be theoretically estimated with the needed accuracy together with previous lep and cleo data the recent measurements by babar and belle of some cabibbosuppressed tau decays imply v_us 02165 00026_exp 00005_th which is already competitive with the standard extraction from k_l3 decays the uncertainty is largely dominated by experimental errors and should be easily reduced with the high statistics of the b factories providing the most accurate determination of this parameter a 1 experimental precision on the cabibbosuppressed tau decay width would translate into a 06 uncertainty on v_us | [['a', 'very', 'precise', 'determination', 'of', 'v_us', 'can', 'be', 'obtained', 'from', 'the', 'semiinclusive', 'hadronic', 'decay', 'width', 'of', 'the', 'tau', 'lepton', 'into', 'final', 'states', 'with', 'strangeness', 'the', 'ratio', 'of', 'the', 'cabibbosuppressed', 'and', 'cabibboallowed', 'tau', 'decay', 'widths', 'directly', 'measures', 'v_usv_ud2', 'up', 'to', 'very', 'small', 'su3breaking', 'corrections', 'which', 'can', 'be', 'theoretically', 'estimated', 'with', 'the', 'needed', 'accuracy', 'together', 'with', 'previous', 'lep', 'and', 'cleo', 'data', 'the', 'recent', 'measurements', 'by', 'babar', 'and', 'belle', 'of', 'some', 'cabibbosuppressed', 'tau', 'decays', 'imply', 'v_us', '02165', '00026_exp', '00005_th', 'which', 'is', 'already', 'competitive', 'with', 'the', 'standard', 'extraction', 'from', 'k_l3', 'decays', 'the', 'uncertainty', 'is', 'largely', 'dominated', 'by', 'experimental', 'errors', 'and', 'should', 'be', 'easily', 'reduced', 'with', 'the', 'high', 'statistics', 'of', 'the', 'b', 'factories', 'providing', 'the', 'most', 'accurate', 'determination', 'of', 'this', 'parameter', 'a', '1', 'experimental', 'precision', 'on', 'the', 'cabibbosuppressed', 'tau', 'decay', 'width', 'would', 'translate', 'into', 'a', '06', 'uncertainty', 'on', 'v_us']] | [-0.020578599155235747, 0.2412797946232156, -0.05988493122232075, 0.08632331632812006, -0.07117959083989263, -0.16784475278467514, 0.09696791455319796, 0.2828002679663209, -0.2336181585327722, -0.27768228651525884, 0.04577514378604694, -0.35643436170827886, 0.08488932804276164, 0.19384502969825498, 0.0613029242063371, 0.15059653279962593, 0.2033311312445081, -0.02466288033622102, -0.09675402044175337, -0.2005504589384565, 0.21290816600219561, 0.06524896800088195, 0.20548750807244617, 0.11847079937310459, -0.05075683341486953, -0.039736672297406656, -0.10688838206518154, -0.02728312751546932, -0.1558561460688137, 0.1067762528523767, 0.1719613091211963, 0.15066616360804452, 0.10898094621415322, -0.32269172683501474, -0.06058084117965056, 0.12437402767917284, 0.18556327996238206, 0.08061878464650363, 0.0025651307633289926, -0.43084226491717764, 0.10410829144888199, -0.1563300956434642, -0.023061908874660732, -0.10299143238136402, 0.03386996889558549, -0.05494911293230521, -0.3794081390906985, 0.10918960568423454, -0.07478753703718002, 0.009915651022814788, 0.016783038684381888, -0.29695026327927526, 0.023399970651819157, 0.07438821284673534, 0.12103077552926082, 0.10275307756920274, 0.15144934897722964, -0.12233056751473878, -0.14633123537955375, 0.3770591456299791, -0.07071179008254638, -0.18004159052551796, 0.11615861345333262, -0.23906366999726741, -0.14756360213057354, 0.17330251953278022, 0.1721484121794884, 0.024393671185064775, -0.16150744162016334, 0.09455051282599855, -0.01296530943005704, 0.21699500791728496, 0.05304298036230298, 0.08476411884184927, 0.1726604074239731, 0.21199611125585552, -0.025389362162408922, 0.008720276029243206, -0.108075982106563, -0.01301902262852169, -0.3825763557464458, -0.09853299307500353, -0.08320671720519805, 0.10543035086168227, -0.08834215710700777, -0.07984991774428636, 0.35133381833393984, 0.06176417582990745, 0.3291931768449453, 0.058395270575196126, 0.3451589642558247, 0.10775857052604597, 0.08106626411228297, 0.011778086898490213, 0.3386063732038915, 0.19175787700268512, 0.10029668931204538, -0.28711109068602897, 0.1412670300888399, 0.02240029784420935] |
709.0283 | Phylogenetic networks form partial trees | A contemporary and fundamental problem faced by many evolutionary biologists
is how to puzzle together a collection $\mathcal P$ of partial trees
(leaf-labelled trees whose leaves are bijectively labelled by species or, more
generally, taxa, each supported by e. g. a gene) into an overall parental
structure that displays all trees in $\mathcal P$. This already difficult
problem is complicated by the fact that the trees in $\mathcal P$ regularly
support conflicting phylogenetic relationships and are not on the same but only
overlapping taxa sets. A desirable requirement on the sought after parental
structure therefore is that it can accommodate the observed conflicts.
Phylogenetic networks are a popular tool capable of doing precisely this.
However, not much is known about how to construct such networks from partial
trees, a notable exception being the $Z$-closure super-network approach and the
recently introduced $Q$-imputation approach. Here, we propose the usage of
closure rules to obtain such a network. In particular, we introduce the novel
$Y$-closure rule and show that this rule on its own or in combination with one
of Meacham's closure rules (which we call the $M$-rule) has some very desirable
theoretical properties. In addition, we use the $M$- and $Y$-rule to explore
the dependency of Rivera et al.'s ``ring of life'' on the fact that the
underpinning phylogenetic trees are all on the same data set. Our analysis
culminates in the presentation of a collection of induced subtrees from which
this ring can be reconstructed.
| math.CO | a contemporary and fundamental problem faced by many evolutionary biologists is how to puzzle together a collection mathcal p of partial trees leaflabelled trees whose leaves are bijectively labelled by species or more generally taxa each supported by e g a gene into an overall parental structure that displays all trees in mathcal p this already difficult problem is complicated by the fact that the trees in mathcal p regularly support conflicting phylogenetic relationships and are not on the same but only overlapping taxa sets a desirable requirement on the sought after parental structure therefore is that it can accommodate the observed conflicts phylogenetic networks are a popular tool capable of doing precisely this however not much is known about how to construct such networks from partial trees a notable exception being the zclosure supernetwork approach and the recently introduced qimputation approach here we propose the usage of closure rules to obtain such a network in particular we introduce the novel yclosure rule and show that this rule on its own or in combination with one of meachams closure rules which we call the mrule has some very desirable theoretical properties in addition we use the m and yrule to explore the dependency of rivera et als ring of life on the fact that the underpinning phylogenetic trees are all on the same data set our analysis culminates in the presentation of a collection of induced subtrees from which this ring can be reconstructed | [['a', 'contemporary', 'and', 'fundamental', 'problem', 'faced', 'by', 'many', 'evolutionary', 'biologists', 'is', 'how', 'to', 'puzzle', 'together', 'a', 'collection', 'mathcal', 'p', 'of', 'partial', 'trees', 'leaflabelled', 'trees', 'whose', 'leaves', 'are', 'bijectively', 'labelled', 'by', 'species', 'or', 'more', 'generally', 'taxa', 'each', 'supported', 'by', 'e', 'g', 'a', 'gene', 'into', 'an', 'overall', 'parental', 'structure', 'that', 'displays', 'all', 'trees', 'in', 'mathcal', 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709.0284 | Oort groups and lifting problems | Let k be an algebraically closed field of positive characteristic p. We
consider which finite groups G have the property that every faithful action of
G on a connected smooth projective curve over k lifts to characteristic zero.
Oort conjectured that cyclic groups have this property. We show that if a
cyclic-by-p group G has this property, then G must be either cyclic or
dihedral, with the exception of A_4 in characteristic 2. This proves one
direction of a strong form of the Oort Conjecture.
| math.AG math.GR | let k be an algebraically closed field of positive characteristic p we consider which finite groups g have the property that every faithful action of g on a connected smooth projective curve over k lifts to characteristic zero oort conjectured that cyclic groups have this property we show that if a cyclicbyp group g has this property then g must be either cyclic or dihedral with the exception of a_4 in characteristic 2 this proves one direction of a strong form of the oort conjecture | [['let', 'k', 'be', 'an', 'algebraically', 'closed', 'field', 'of', 'positive', 'characteristic', 'p', 'we', 'consider', 'which', 'finite', 'groups', 'g', 'have', 'the', 'property', 'that', 'every', 'faithful', 'action', 'of', 'g', 'on', 'a', 'connected', 'smooth', 'projective', 'curve', 'over', 'k', 'lifts', 'to', 'characteristic', 'zero', 'oort', 'conjectured', 'that', 'cyclic', 'groups', 'have', 'this', 'property', 'we', 'show', 'that', 'if', 'a', 'cyclicbyp', 'group', 'g', 'has', 'this', 'property', 'then', 'g', 'must', 'be', 'either', 'cyclic', 'or', 'dihedral', 'with', 'the', 'exception', 'of', 'a_4', 'in', 'characteristic', '2', 'this', 'proves', 'one', 'direction', 'of', 'a', 'strong', 'form', 'of', 'the', 'oort', 'conjecture']] | [-0.2632981562610006, 0.1667660718766066, -0.1672642635669382, -0.030969800947267295, -0.10463384306058288, -0.18606841234335056, -0.0296772346565766, 0.3844529584138876, -0.3513254901128156, -0.195593906427911, 0.050087585528325734, -0.18883160401102422, -0.12204891781134176, 0.17772347121665785, -0.0964341164411356, -0.11204069072846323, 0.04110282081334541, 0.1906507304270885, -0.06277535016748256, -0.32621568591067834, 0.34613513928793727, -0.11922308422314624, 0.1718250102186132, 0.04110954833283488, 0.08744035329714063, 0.00504076422103459, 0.07225291967569362, 0.04251360059216885, -0.1495396186627269, 0.054872596580978664, 0.28077932196624933, 0.07634894127979697, 0.2529927915450008, -0.3531309220800592, -0.21695562158267767, 0.27535073880461003, 0.13589627214796132, -0.01840505552328458, -0.02161260254243167, -0.22990131878205353, 0.23102367583141176, -0.1754699245405694, -0.18269687960855663, -0.007341220365127637, 0.14579935336258218, -0.0457587541701893, -0.2313793925346718, -0.02348212742557128, 0.12628399739402257, 0.18082053447142243, -0.02497061743079463, -0.1053844191067453, -0.03734474673512436, 0.07854530156224168, 0.031117463266820692, 0.08553450398141563, 0.04368235206250878, -0.04073150177940815, -0.09341264276493651, 0.3872692711884156, -0.12392154017080818, -0.1407448389079599, 0.09608222796426465, -0.20680409512438236, -0.16139324381393158, 0.1660721435854655, 0.09549769283538419, 0.15923619682767562, -0.0028521379544621424, 0.2042622949354284, -0.18852157063693517, 0.10959506908520347, 0.08619380865379103, -0.053462616206767656, 0.1621892015405354, -0.0025978649944244396, 0.1323759635921479, 0.08741476861039355, 0.023507202118967792, 0.077056142850779, -0.3418896013837574, -0.16808780998967232, -0.13662032635572055, 0.21220537889305324, -0.10519185235413413, -0.16371011202378818, 0.37513875189913615, 0.03234386970455359, 0.17789807084703907, 0.10485270312416278, 0.19824027451908305, 0.05112060692737855, 0.10147651901379937, 0.10989577053780002, 0.09113202000125534, 0.23260562522115097, -0.1436294078885112, -0.20231387409148738, 0.04397303598289866, 0.14751727228784667] |
709.0285 | Gravitating Dyons with Large Electric Charge | We consider non-Abelian dyons in Einstein-Yang-Mills-Higgs theory. The dyons
are spherically symmetric with unit magnetic charge. For large values of the
electric charge the dyons approach limiting solutions, related to the Penney
solutions of Einstein-Maxwell-scalar theory.
| gr-qc | we consider nonabelian dyons in einsteinyangmillshiggs theory the dyons are spherically symmetric with unit magnetic charge for large values of the electric charge the dyons approach limiting solutions related to the penney solutions of einsteinmaxwellscalar theory | [['we', 'consider', 'nonabelian', 'dyons', 'in', 'einsteinyangmillshiggs', 'theory', 'the', 'dyons', 'are', 'spherically', 'symmetric', 'with', 'unit', 'magnetic', 'charge', 'for', 'large', 'values', 'of', 'the', 'electric', 'charge', 'the', 'dyons', 'approach', 'limiting', 'solutions', 'related', 'to', 'the', 'penney', 'solutions', 'of', 'einsteinmaxwellscalar', 'theory']] | [-0.19753578276787367, 0.18925449127952257, 0.016807750371905666, 0.11165967830715494, -0.02433725818991661, -0.1308345659635961, -0.05132234040259694, 0.2584908771225148, -0.08659138556362854, -0.2641337926809986, 0.01901176426650232, -0.32122163226207096, -0.11069217934790584, 0.09011850619895591, -0.05487285362970498, 0.03805813054633392, -0.08850824607846637, 0.08241673683126767, -0.10762432258990076, -0.21525115199619904, 0.33427155095462996, -0.09588221346752511, 0.324615051659445, 0.05521822542262574, 0.05827577031838397, -0.014910082436270185, 0.06408070990194877, 0.04064362423701419, -0.16353988642286924, 0.08082346209428376, 0.20414395304396749, 0.017476714888794556, 0.12610802235495713, -0.5102574919453926, -0.15991118990091813, 0.11891687526885006, 0.13453632343508717, 0.1762639767386847, -0.0919545315619972, -0.28592166263196206, 0.1184750736445292, -0.1931864826215638, -0.2670301275534762, -0.11460231619680093, 0.05092716744790474, 0.10754587834364632, -0.27452637669112945, 0.13657314723564518, -0.0033878902645988595, 0.002560115083017283, -0.23700874258712348, -0.1027246341497327, -0.05587006182435693, 0.05281909661264055, 0.20267066670930944, 0.012648105336767104, 0.13751991523895413, -0.22645695225542617, -0.15171889671021038, 0.3356319929783543, -0.04303070747603973, -0.3011544987352358, 0.042160584085245825, -0.18215494127070997, -0.11532752894951652, 0.11707614103539123, 0.08902260104918645, 0.23746216038448942, -0.106256403753327, 0.22476708164645565, -0.08855146423189177, 0.13382717365230848, 0.08059132188403358, 0.04513527655379019, 0.36109277574966353, 0.0413685715239909, 0.020343359870215256, 0.15451026200834247, -0.008043364194842676, -0.20802263843102586, -0.3538456094554729, -0.1298877578228712, -0.14886485633905977, 0.1658916293332974, -0.15172393624541453, -0.255767276407116, 0.3998390669003129, 0.12279909155848953, 0.05822969595384267, -0.010537776682111952, 0.14725689163121083, 0.15741390075870892, 0.07040124140783316, 0.05579699112826751, 0.18383737991098315, 0.281352875702497, 0.19168647984042764, -0.2500730854873028, -0.21846176950364476, 0.20283835246745083] |
709.0286 | COSY-11 : How will we remember it ? | A personal selection is made of the highlights of the COSY-11 physics program
undertaken at the COoler SYnchrotron of the Forschungszentrum Juelich. This has
been particularly rich in the field of strange and non-strange meson production
in proton-proton and proton-deuteron collisions. The results are considered in
relation to experiments carried out at other facilities and with respect to
their impact on theory.
| nucl-ex | a personal selection is made of the highlights of the cosy11 physics program undertaken at the cooler synchrotron of the forschungszentrum juelich this has been particularly rich in the field of strange and nonstrange meson production in protonproton and protondeuteron collisions the results are considered in relation to experiments carried out at other facilities and with respect to their impact on theory | [['a', 'personal', 'selection', 'is', 'made', 'of', 'the', 'highlights', 'of', 'the', 'cosy11', 'physics', 'program', 'undertaken', 'at', 'the', 'cooler', 'synchrotron', 'of', 'the', 'forschungszentrum', 'juelich', 'this', 'has', 'been', 'particularly', 'rich', 'in', 'the', 'field', 'of', 'strange', 'and', 'nonstrange', 'meson', 'production', 'in', 'protonproton', 'and', 'protondeuteron', 'collisions', 'the', 'results', 'are', 'considered', 'in', 'relation', 'to', 'experiments', 'carried', 'out', 'at', 'other', 'facilities', 'and', 'with', 'respect', 'to', 'their', 'impact', 'on', 'theory']] | [-0.05355290332884197, 0.14653761400240323, -0.16926120482986012, 0.088849046988593, -0.05694543496675549, -0.09139464887970637, 0.025500854374014684, 0.3643449286840135, -0.18764081946198619, -0.26835069015731045, 0.016723518712340943, -0.3816677742081905, 0.03797525326691328, 0.204356292585632, 0.0533541840606279, 0.09862887097762958, 0.05421683330073832, 0.03252276053441869, -0.0150791999161987, -0.24581964718057744, 0.3093179362645793, 0.17234292087115108, 0.2629275233635018, 0.15766743762839225, 0.02980176565582834, 0.009830271614895712, -0.11942269106399298, -0.00963412076535244, -0.0815735385873385, 0.08607704761379864, 0.302053491194402, 0.09896917124053524, 0.22650979644048116, -0.41310556476274807, -0.1286051955314413, 0.06076477424451901, 0.08626606687152337, 0.04767450491236823, -0.08355451951689657, -0.2892696674792997, 0.09933689134495874, -0.2076232758460514, -0.1540384322344776, -0.03249094224414758, 0.014722158265818332, 0.0004314817488193512, -0.23609827337936767, -0.013665186154896454, -0.06562315072533825, 0.16534863196448574, -0.028519952275429764, -0.2385926696982595, -0.03523346642032266, 0.05695192433983808, 0.09746828745494807, 0.07966463494625303, 0.13839709985580656, -0.1657789552926026, -0.13694588022096263, 0.4285567819531406, -0.008563254809667986, -0.10498335699160252, 0.23032344653526501, -0.21965129326488222, -0.19133925925369463, 0.09762612673183603, 0.22260111525294282, 0.0916646234015183, -0.19686419124745072, 0.09208119831577453, -0.010727278212265622, 0.12229023658625421, 0.06899148499548075, 0.045112598447069045, 0.23582625395107654, 0.2518222506849035, -0.06516650118940179, 0.1047729080469693, -0.10083808501311127, -0.08778397202672016, -0.32322865747095597, -0.0846386220373754, -0.08856639721160454, 0.010326671353991955, 0.04345889612652114, -0.03199178069048832, 0.3476879425166595, 0.09650090480816641, 0.17104245770362117, -0.0750618054861984, 0.2998165204640358, 0.0521925367084482, 0.08695790761586038, 0.03439709033456541, 0.31671238702631765, 0.16699459418774612, 0.22390594535447175, -0.280028534546164, 0.030109929311419686, -0.014601380849677709] |
709.0287 | The Dimension of the Torelli group | We prove that the cohomological dimension of the Torelli group for a closed
connected orientable surface of genus g at least 2 is equal to 3g-5. This
answers a question of Mess, who proved the lower bound and settled the case of
g=2. We also find the cohomological dimension of the Johnson kernel (the
subgroup of the Torelli group generated by Dehn twists about separating curves)
to be 2g-3. For g at least 2, we prove that the top dimensional homology of the
Torelli group is infinitely generated. Finally, we give a new proof of the
theorem of Mess that gives a precise description of the Torelli group in genus
2. The main tool is a new contractible complex, called the "complex of cycles",
on which the Torelli group acts.
| math.GT math.GR | we prove that the cohomological dimension of the torelli group for a closed connected orientable surface of genus g at least 2 is equal to 3g5 this answers a question of mess who proved the lower bound and settled the case of g2 we also find the cohomological dimension of the johnson kernel the subgroup of the torelli group generated by dehn twists about separating curves to be 2g3 for g at least 2 we prove that the top dimensional homology of the torelli group is infinitely generated finally we give a new proof of the theorem of mess that gives a precise description of the torelli group in genus 2 the main tool is a new contractible complex called the complex of cycles on which the torelli group acts | [['we', 'prove', 'that', 'the', 'cohomological', 'dimension', 'of', 'the', 'torelli', 'group', 'for', 'a', 'closed', 'connected', 'orientable', 'surface', 'of', 'genus', 'g', 'at', 'least', '2', 'is', 'equal', 'to', '3g5', 'this', 'answers', 'a', 'question', 'of', 'mess', 'who', 'proved', 'the', 'lower', 'bound', 'and', 'settled', 'the', 'case', 'of', 'g2', 'we', 'also', 'find', 'the', 'cohomological', 'dimension', 'of', 'the', 'johnson', 'kernel', 'the', 'subgroup', 'of', 'the', 'torelli', 'group', 'generated', 'by', 'dehn', 'twists', 'about', 'separating', 'curves', 'to', 'be', '2g3', 'for', 'g', 'at', 'least', '2', 'we', 'prove', 'that', 'the', 'top', 'dimensional', 'homology', 'of', 'the', 'torelli', 'group', 'is', 'infinitely', 'generated', 'finally', 'we', 'give', 'a', 'new', 'proof', 'of', 'the', 'theorem', 'of', 'mess', 'that', 'gives', 'a', 'precise', 'description', 'of', 'the', 'torelli', 'group', 'in', 'genus', '2', 'the', 'main', 'tool', 'is', 'a', 'new', 'contractible', 'complex', 'called', 'the', 'complex', 'of', 'cycles', 'on', 'which', 'the', 'torelli', 'group', 'acts']] | [-0.20296667334298754, 0.11533217412571228, -0.15370915020823248, 0.08696643645196518, -0.10048420394431481, -0.14592887007436434, 0.0345693663134449, 0.2847803504487803, -0.2907909848402406, -0.26162776740831, 0.10976854171658065, -0.252087873475294, -0.14652492218224925, 0.2442171562448606, -0.17093690325390518, -0.06937063847083685, 0.059234065675111705, 0.11417030539118157, -0.04081751164518181, -0.33710184063791304, 0.40584776960602104, -0.08885298601113432, 0.17814933973934877, 0.09821047013726576, 0.10566981350136705, 0.0067783556192709035, -0.018970977666592875, -0.04768920256647953, -0.15642625568410906, 0.17172547132940963, 0.2806262958904479, 0.028755684653946827, 0.18677684861098148, -0.3497574755041174, -0.1717477359361369, 0.18194223157050768, 0.11131244887374053, 0.017780830451041865, -0.028779564671716544, -0.2674003074490718, 0.14213555401494338, -0.11989533010321532, -0.21855455286107783, -0.02876776205592377, 0.08974919502818307, -0.07538978070338336, -0.18345777779572117, -0.008183188030952877, 0.13944993862636793, 0.1454371974240382, -0.006286184722196686, -0.09707730700796138, -0.10248991219658954, 0.1582053537433606, 0.018085099668278135, 0.08765733270191176, 0.06070646128162395, -0.11613791609841062, -0.07743096990554138, 0.35019889610003707, -0.08480718620924654, -0.12971769410452638, 0.13139243570495715, -0.17049681479400097, -0.20556776866212112, 0.15121541792425766, 0.1093144983255355, 0.16592250663296196, -0.01674375870777655, 0.17350231921038584, -0.15822132739649955, 0.1207214993742374, 0.09079550449238268, -0.08141628813446146, 0.09178587683122749, 0.12329878979687427, 0.15980771343519753, 0.14916542287222867, -0.00834338764602304, 0.06815330329704886, -0.37097449765302415, -0.23132892811622166, -0.14279518916827533, 0.16757923655587342, -0.11469981738159978, -0.1530596980492967, 0.4434505742216526, 0.04122197732118196, 0.14126669962045757, 0.13327604170993346, 0.23894012836349565, 0.04519898208334695, 0.07578125650554086, 0.153013204235237, 0.11832108744239622, 0.21105550411301702, -0.12530589392119945, -0.1375729705688955, -0.020299381735308687, 0.26882067112280994] |
709.0288 | Gluino Stransverse Mass | We introduce a new observable, 'gluino stransverse mass', which is an
application of the Cambridge $m_{T2}$ variable to the process where gluinos are
pair produced in proton-proton collision and each gluino subsequently decays
into two quarks and one LSP, $i.e. \tilde{g}\tilde{g} \to qq\tilde\chi_1^0\
qq\tilde\chi_1^0$. We show that the gluino stransverse mass can be utilized to
measure the gluino and the lightest neutralino masses separately, and also the
(1st and 2nd generation) squark masses if lighter than the gluino mass, thereby
providing a good first look at the pattern of sparticle masses experimentally.
| hep-ph | we introduce a new observable gluino stransverse mass which is an application of the cambridge m_t2 variable to the process where gluinos are pair produced in protonproton collision and each gluino subsequently decays into two quarks and one lsp ie tildegtildeg to qqtildechi_10 qqtildechi_10 we show that the gluino stransverse mass can be utilized to measure the gluino and the lightest neutralino masses separately and also the 1st and 2nd generation squark masses if lighter than the gluino mass thereby providing a good first look at the pattern of sparticle masses experimentally | [['we', 'introduce', 'a', 'new', 'observable', 'gluino', 'stransverse', 'mass', 'which', 'is', 'an', 'application', 'of', 'the', 'cambridge', 'm_t2', 'variable', 'to', 'the', 'process', 'where', 'gluinos', 'are', 'pair', 'produced', 'in', 'protonproton', 'collision', 'and', 'each', 'gluino', 'subsequently', 'decays', 'into', 'two', 'quarks', 'and', 'one', 'lsp', 'ie', 'tildegtildeg', 'to', 'qqtildechi_10', 'qqtildechi_10', 'we', 'show', 'that', 'the', 'gluino', 'stransverse', 'mass', 'can', 'be', 'utilized', 'to', 'measure', 'the', 'gluino', 'and', 'the', 'lightest', 'neutralino', 'masses', 'separately', 'and', 'also', 'the', '1st', 'and', '2nd', 'generation', 'squark', 'masses', 'if', 'lighter', 'than', 'the', 'gluino', 'mass', 'thereby', 'providing', 'a', 'good', 'first', 'look', 'at', 'the', 'pattern', 'of', 'sparticle', 'masses', 'experimentally']] | [-0.032040801189011994, 0.3389159386112523, -0.058412766699782674, 0.2372050392953396, -0.09475160069091039, -0.1656588786592086, 0.06289701601102328, 0.3443332618645703, -0.19934527312094966, -0.2973485389155232, 0.02309439211644025, -0.27152782012191085, 0.10107713910337124, 0.16098433955081015, 0.05103547333144686, 0.0910405020074298, 0.13732542438536055, 0.031465183379542495, -0.030425144900153907, -0.2821007705992088, 0.31182839857000444, -0.020681508009632428, 0.10695189227763978, 0.1608420139644295, 0.03164918948378828, -0.02203498399984609, 0.005045660533424881, -0.17111755140229232, -0.10028433818669226, 0.0655308066530981, 0.17541830122677815, 0.09626726106119653, 0.13942796302338442, -0.2425906566527879, -0.05449906310273541, 0.20763296131432676, 0.1927834498644289, 0.04387672015646887, -0.0836910906040834, -0.33437237091776395, 0.16231345073837372, -0.24213346449347833, -0.059211869043711986, -0.004850263775895453, -0.03005038360133767, -0.1485037299597429, -0.3578911050533255, 0.1029240844690422, -0.07177452715307785, -0.05543198322670327, 0.026155429354144468, -0.21042701949675877, -0.1946812828640557, 0.029581870707786746, 0.14413829816007315, -0.023186754476692942, 0.18468094207799166, -0.1357221101410687, -0.16816066454889045, 0.4439156556683075, -0.11426476816365418, -0.15969890772054593, 0.19242544465750042, -0.13770773539112674, -0.16516027317589355, 0.1297069336598118, 0.2756716967870792, 0.1407159327581111, -0.22860532371948164, 0.0765217927873083, -0.04352382027815717, 0.23803501916635367, 0.1404600442852825, 0.04809055433401631, 0.3153101736239882, 0.25121101821876235, 0.0706798176591595, 0.05891467888399752, -0.09504543745165897, -0.046481658114741246, -0.36277540643802947, -0.15313948270761304, -0.08557175349754592, -0.0032690821978677478, -0.08693018933780776, -0.06710004988643858, 0.39445726103666756, 0.14120372822508215, 0.3190027559796969, 0.04972774283055009, 0.32213899379389155, 0.12369936959197124, 0.08770364901025055, 0.0778735671709809, 0.31216859848548967, 0.11263071716659599, 0.1399271564402928, -0.1772707583486206, -0.08652895617609223, 0.13911618198682035] |
709.0289 | Cryptography in the Bounded-Quantum-Storage Model | This thesis initiates the study of cryptographic protocols in the
bounded-quantum-storage model. On the practical side, simple protocols for
Rabin Oblivious Transfer, 1-2 Oblivious Transfer and Bit Commitment are
presented. No quantum memory is required for honest players, whereas the
protocols can only be broken by an adversary controlling a large amount of
quantum memory. The protocols are efficient, non-interactive and can be
implemented with today's technology.
On the theoretical side, new entropic uncertainty relations involving
min-entropy are established and used to prove the security of protocols
according to new strong security definitions. For instance, in the realistic
setting of Quantum Key Distribution (QKD) against quantum-memory-bounded
eavesdroppers, the uncertainty relation allows to prove the security of QKD
protocols while tolerating considerably higher error rates compared to the
standard model with unbounded adversaries.
| quant-ph cs.CR | this thesis initiates the study of cryptographic protocols in the boundedquantumstorage model on the practical side simple protocols for rabin oblivious transfer 12 oblivious transfer and bit commitment are presented no quantum memory is required for honest players whereas the protocols can only be broken by an adversary controlling a large amount of quantum memory the protocols are efficient noninteractive and can be implemented with todays technology on the theoretical side new entropic uncertainty relations involving minentropy are established and used to prove the security of protocols according to new strong security definitions for instance in the realistic setting of quantum key distribution qkd against quantummemorybounded eavesdroppers the uncertainty relation allows to prove the security of qkd protocols while tolerating considerably higher error rates compared to the standard model with unbounded adversaries | [['this', 'thesis', 'initiates', 'the', 'study', 'of', 'cryptographic', 'protocols', 'in', 'the', 'boundedquantumstorage', 'model', 'on', 'the', 'practical', 'side', 'simple', 'protocols', 'for', 'rabin', 'oblivious', 'transfer', '12', 'oblivious', 'transfer', 'and', 'bit', 'commitment', 'are', 'presented', 'no', 'quantum', 'memory', 'is', 'required', 'for', 'honest', 'players', 'whereas', 'the', 'protocols', 'can', 'only', 'be', 'broken', 'by', 'an', 'adversary', 'controlling', 'a', 'large', 'amount', 'of', 'quantum', 'memory', 'the', 'protocols', 'are', 'efficient', 'noninteractive', 'and', 'can', 'be', 'implemented', 'with', 'todays', 'technology', 'on', 'the', 'theoretical', 'side', 'new', 'entropic', 'uncertainty', 'relations', 'involving', 'minentropy', 'are', 'established', 'and', 'used', 'to', 'prove', 'the', 'security', 'of', 'protocols', 'according', 'to', 'new', 'strong', 'security', 'definitions', 'for', 'instance', 'in', 'the', 'realistic', 'setting', 'of', 'quantum', 'key', 'distribution', 'qkd', 'against', 'quantummemorybounded', 'eavesdroppers', 'the', 'uncertainty', 'relation', 'allows', 'to', 'prove', 'the', 'security', 'of', 'qkd', 'protocols', 'while', 'tolerating', 'considerably', 'higher', 'error', 'rates', 'compared', 'to', 'the', 'standard', 'model', 'with', 'unbounded', 'adversaries']] | [-0.1929073793411909, 0.07011172606510675, -0.05754356139929581, 0.11876512499426613, -0.0005857633455222799, -0.33644615430455965, 0.12259101493902619, 0.35090281581595, -0.26576155841435867, -0.303825965401281, 0.08759510854191595, -0.2222786997890372, -0.04988796663477676, 0.25174424004872537, -0.19446132429306687, 0.1695148909947913, 0.013323180619200677, 0.004494913789720936, 0.016762584254797902, -0.29014114572894084, 0.3159082139600495, 0.07015259972620641, 0.3273451534874794, 0.045721545465333205, 0.05897698410562744, 0.01850363547746661, -0.01387225823718628, -0.08046150824837324, -0.12287357750789525, 0.14574567198696484, 0.2815037845555721, 0.1473448936017017, 0.31727542731029384, -0.4354764420240549, -0.19550970792486014, 0.09826784195975606, 0.1226813710252008, 0.19279207299705167, -0.0500937357086347, -0.31098440966483576, 0.10888471210531833, -0.26013663986640917, -0.03945546042358943, -0.0702845306839538, -0.039311740693159916, 0.015273525320501814, -0.2779616838150466, 0.015916297535717716, 0.06778813009896806, 0.05011176318285688, 0.04031894520193495, -0.055891176426200236, 0.02331043682007816, 0.17420512987371847, -0.02616519698844725, -0.008770038640368303, 0.1600561512435097, -0.12151493441192647, -0.2143780183516272, 0.34609634933979, 0.023299667792295226, -0.18681666735943606, 0.1272577719606516, -0.02670096473782572, -0.12856191920315604, 0.05196408040551398, 0.17321755572129752, 0.06905464098241379, -0.12498370702787238, 0.04732232438338181, -0.004979928338701147, 0.2532289803849235, 0.033306609465961014, 0.145562672887161, 0.10677691029015048, 0.0903768923652593, 0.09958707069878588, 0.14796652013386194, -0.015529147063147362, -0.23345103245655088, -0.2926459830140567, -0.18507225327869123, -0.19796558592525373, 0.07497199750256561, -0.10957505181398446, -0.0726064789519496, 0.29618514596861395, 0.20635380708072193, 0.10017699123367325, 0.11448353446152715, 0.4147060107126946, 0.0627030944842703, 0.0783199445212985, 0.1629550807837411, 0.22526101992671727, 0.1041142160671884, 0.09918817676042156, -0.1464957359126051, 0.2231522220371732, 0.012540558236651123] |
709.029 | $\mathbb{Z}_{2}^{2}$-cordiality of complete and complete bipartite
graphs | We prove that $K_{n}$ is $\mathbb{Z}_{2}^{2}$-cordial if and only if $1 \leq
n \leq 3$ and that $K_{m,n}$ is $\mathbb{Z}_{2}^{2}$ if and only if it is false
that $m=n=2$.
| math.CO | we prove that k_n is mathbbz_22cordial if and only if 1 leq n leq 3 and that k_mn is mathbbz_22 if and only if it is false that mn2 | [['we', 'prove', 'that', 'k_n', 'is', 'mathbbz_22cordial', 'if', 'and', 'only', 'if', '1', 'leq', 'n', 'leq', '3', 'and', 'that', 'k_mn', 'is', 'mathbbz_22', 'if', 'and', 'only', 'if', 'it', 'is', 'false', 'that', 'mn2']] | [-0.1301561841475112, 0.2592041424276041, 0.01472091388755611, 0.03333218009460585, -0.013209158745926939, -0.3105241077552949, 0.023420879883425578, 0.4428757881479604, -0.23017913473969592, -0.24891759448551706, 0.15919782538964813, -0.3923219812235662, -0.1694859516490916, 0.13504119639817094, -0.05817799290109958, -0.18592234328389168, 0.09050104820302554, 0.12022377630429608, 0.05134512167257656, -0.3856493239956243, 0.2547156929171511, -0.15086068119853735, 0.11141782772860356, 0.1407929284863972, 0.14315402587609632, 0.045635577806803794, 0.20941700294081653, 0.0437220281788281, -0.17727716170208754, -0.04564173775725067, 0.18817658775619098, 0.24150510933083882, 0.28198115846940447, -0.29333459379683646, -0.08612609431812805, 0.2655298110496785, 0.22528302955574223, -0.008657997374289803, -0.009193385826490288, -0.1390452706587634, 0.38545467012694906, -0.06931728680085923, -0.03771478237052049, -0.06074327190539667, 0.2567699419866715, -0.04751611081883311, -0.3466190126990633, 0.035321390123239586, 0.188631429203919, -0.012456503663478153, 0.04326667982552733, -0.1556325692217797, -0.1599766118451953, 0.07130622421391308, 0.004182201419358275, 0.11315376457891294, -0.016870776108199998, -0.08645364861669284, -0.01403011694284422, 0.3278410392148154, 0.005549613519438675, -0.18860058380024775, 0.045875776026930125, -0.2898317140726639, -0.21886785009077617, 0.11401118384674191, -0.038821211483861716, 0.22645441203245095, 0.0009591336295540844, 0.22065359654412273, -0.1446289441415242, 0.31396593575898024, 0.11460382687593144, -0.02601833434476118, 0.03177507235003369, 0.04227968152346356, 0.19716910365968943, -0.0023219428424324307, -0.05265676961945636, 0.15147807768413, -0.36542357823678423, -0.2055110533588699, -0.29669550952634643, 0.18131340012353445, -0.0976905799288943, -0.04841426347515413, 0.23474263133747236, 0.11518652218260936, 0.12288878382449704, 0.11224661557935178, 0.24558108393102884, 0.04094427567906678, -0.017278569750487804, 0.24593609479987727, 0.16593737873647893, 0.09932792985013553, -0.11445196032790202, -0.0967385207602222, 0.054762237572244236, 0.07594949565827847] |
709.0291 | Equivalences on Acyclic Orientations | The cyclic and dihedral groups can be made to act on the set Acyc(Y) of
acyclic orientations of an undirected graph Y, and this gives rise to the
equivalence relations ~kappa and ~delta, respectively. These two actions and
their corresponding equivalence classes are closely related to combinatorial
problems arising in the context of Coxeter groups, sequential dynamical
systems, the chip-firing game, and representations of quivers.
In this paper we construct the graphs C(Y) and D(Y) with vertex sets Acyc(Y)
and whose connected components encode the equivalence classes. The number of
connected components of these graphs are denoted kappa(Y) and delta(Y),
respectively. We characterize the structure of C(Y) and D(Y), show how delta(Y)
can be derived from kappa(Y), and give enumeration results for kappa(Y).
Moreover, we show how to associate a poset structure to each kappa-equivalence
class, and we characterize these posets. This allows us to create a bijection
from Acyc(Y)/~kappa to the union of Acyc(Y')/~kappa and Acyc(Y'')/~kappa, Y'
and Y'' denote edge deletion and edge contraction for a cycle-edge in Y,
respectively, which in turn shows that kappa(Y) may be obtained by an
evaluation of the Tutte polynomial at (1,0).
| math.CO math.DS | the cyclic and dihedral groups can be made to act on the set acycy of acyclic orientations of an undirected graph y and this gives rise to the equivalence relations kappa and delta respectively these two actions and their corresponding equivalence classes are closely related to combinatorial problems arising in the context of coxeter groups sequential dynamical systems the chipfiring game and representations of quivers in this paper we construct the graphs cy and dy with vertex sets acycy and whose connected components encode the equivalence classes the number of connected components of these graphs are denoted kappay and deltay respectively we characterize the structure of cy and dy show how deltay can be derived from kappay and give enumeration results for kappay moreover we show how to associate a poset structure to each kappaequivalence class and we characterize these posets this allows us to create a bijection from acycykappa to the union of acycykappa and acycykappa y and y denote edge deletion and edge contraction for a cycleedge in y respectively which in turn shows that kappay may be obtained by an evaluation of the tutte polynomial at 10 | [['the', 'cyclic', 'and', 'dihedral', 'groups', 'can', 'be', 'made', 'to', 'act', 'on', 'the', 'set', 'acycy', 'of', 'acyclic', 'orientations', 'of', 'an', 'undirected', 'graph', 'y', 'and', 'this', 'gives', 'rise', 'to', 'the', 'equivalence', 'relations', 'kappa', 'and', 'delta', 'respectively', 'these', 'two', 'actions', 'and', 'their', 'corresponding', 'equivalence', 'classes', 'are', 'closely', 'related', 'to', 'combinatorial', 'problems', 'arising', 'in', 'the', 'context', 'of', 'coxeter', 'groups', 'sequential', 'dynamical', 'systems', 'the', 'chipfiring', 'game', 'and', 'representations', 'of', 'quivers', 'in', 'this', 'paper', 'we', 'construct', 'the', 'graphs', 'cy', 'and', 'dy', 'with', 'vertex', 'sets', 'acycy', 'and', 'whose', 'connected', 'components', 'encode', 'the', 'equivalence', 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709.0292 | On the relation between the Schmidt and Kennicutt-Schmidt star formation
laws and its implications for numerical simulations | When averaged over large scales, star formation in galaxies is observed to
follow the empirical Kennicutt-Schmidt (KS) law for surface densities above a
constant threshold. While the observed law involves surface densities,
theoretical models and simulations generally work with volume density laws
(i.e. Schmidt laws). We derive analytic relations between star formation laws
expressed in terms of surface densities, volume densities, and pressures and we
show how these relations depend on parameters such as the effective equation of
state of the multiphase interstellar medium. Our analytic relations enable us
to implement observed surface density laws into simulations. Because the
parameters of our prescription for star formation are observables, we are not
free to tune them to match the observations. We test our theoretical framework
using high-resolution simulations of isolated disc galaxies that assume an
effective equation of state for the multiphase interstellar medium. We are able
to reproduce the star formation threshold and both the slope and the
normalisation of arbitrary input KS laws without tuning any parameters and with
very little scatter, even for unstable galaxies and even if we use poor
numerical resolution. Moreover, we can do so for arbitrary effective equations
of state. Our prescription therefore enables simulations of galaxies to bypass
our current inability to simulate the formation of stars. On the other hand,
the fact that we can reproduce arbitrary input thresholds and KS laws, rather
than just the particular ones picked out by nature, indicates that simulations
that lack the physics and/or resolution to simulate the multiphase interstellar
medium can only provide limited insight into the origin of the observed star
formation laws.
| astro-ph | when averaged over large scales star formation in galaxies is observed to follow the empirical kennicuttschmidt ks law for surface densities above a constant threshold while the observed law involves surface densities theoretical models and simulations generally work with volume density laws ie schmidt laws we derive analytic relations between star formation laws expressed in terms of surface densities volume densities and pressures and we show how these relations depend on parameters such as the effective equation of state of the multiphase interstellar medium our analytic relations enable us to implement observed surface density laws into simulations because the parameters of our prescription for star formation are observables we are not free to tune them to match the observations we test our theoretical framework using highresolution simulations of isolated disc galaxies that assume an effective equation of state for the multiphase interstellar medium we are able to reproduce the star formation threshold and both the slope and the normalisation of arbitrary input ks laws without tuning any parameters and with very little scatter even for unstable galaxies and even if we use poor numerical resolution moreover we can do so for arbitrary effective equations of state our prescription therefore enables simulations of galaxies to bypass our current inability to simulate the formation of stars on the other hand the fact that we can reproduce arbitrary input thresholds and ks laws rather than just the particular ones picked out by nature indicates that simulations that lack the physics andor resolution to simulate the multiphase interstellar medium can only provide limited insight into the origin of the observed star formation laws | [['when', 'averaged', 'over', 'large', 'scales', 'star', 'formation', 'in', 'galaxies', 'is', 'observed', 'to', 'follow', 'the', 'empirical', 'kennicuttschmidt', 'ks', 'law', 'for', 'surface', 'densities', 'above', 'a', 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709.0293 | The Effective Field Theory of Inflation | We study the effective field theory of inflation, i.e. the most general
theory describing the fluctuations around a quasi de Sitter background, in the
case of single field models. The scalar mode can be eaten by the metric by
going to unitary gauge. In this gauge, the most general theory is built with
the lowest dimension operators invariant under spatial diffeomorphisms, like
g^{00} and K_{mu nu}, the extrinsic curvature of constant time surfaces. This
approach allows us to characterize all the possible high energy corrections to
simple slow-roll inflation, whose sizes are constrained by experiments. Also,
it describes in a common language all single field models, including those with
a small speed of sound and Ghost Inflation, and it makes explicit the
implications of having a quasi de Sitter background. The non-linear realization
of time diffeomorphisms forces correlation among different observables, like a
reduced speed of sound and an enhanced level of non-Gaussianity.
| hep-th astro-ph hep-ph | we study the effective field theory of inflation ie the most general theory describing the fluctuations around a quasi de sitter background in the case of single field models the scalar mode can be eaten by the metric by going to unitary gauge in this gauge the most general theory is built with the lowest dimension operators invariant under spatial diffeomorphisms like g00 and k_mu nu the extrinsic curvature of constant time surfaces this approach allows us to characterize all the possible high energy corrections to simple slowroll inflation whose sizes are constrained by experiments also it describes in a common language all single field models including those with a small speed of sound and ghost inflation and it makes explicit the implications of having a quasi de sitter background the nonlinear realization of time diffeomorphisms forces correlation among different observables like a reduced speed of sound and an enhanced level of nongaussianity | [['we', 'study', 'the', 'effective', 'field', 'theory', 'of', 'inflation', 'ie', 'the', 'most', 'general', 'theory', 'describing', 'the', 'fluctuations', 'around', 'a', 'quasi', 'de', 'sitter', 'background', 'in', 'the', 'case', 'of', 'single', 'field', 'models', 'the', 'scalar', 'mode', 'can', 'be', 'eaten', 'by', 'the', 'metric', 'by', 'going', 'to', 'unitary', 'gauge', 'in', 'this', 'gauge', 'the', 'most', 'general', 'theory', 'is', 'built', 'with', 'the', 'lowest', 'dimension', 'operators', 'invariant', 'under', 'spatial', 'diffeomorphisms', 'like', 'g00', 'and', 'k_mu', 'nu', 'the', 'extrinsic', 'curvature', 'of', 'constant', 'time', 'surfaces', 'this', 'approach', 'allows', 'us', 'to', 'characterize', 'all', 'the', 'possible', 'high', 'energy', 'corrections', 'to', 'simple', 'slowroll', 'inflation', 'whose', 'sizes', 'are', 'constrained', 'by', 'experiments', 'also', 'it', 'describes', 'in', 'a', 'common', 'language', 'all', 'single', 'field', 'models', 'including', 'those', 'with', 'a', 'small', 'speed', 'of', 'sound', 'and', 'ghost', 'inflation', 'and', 'it', 'makes', 'explicit', 'the', 'implications', 'of', 'having', 'a', 'quasi', 'de', 'sitter', 'background', 'the', 'nonlinear', 'realization', 'of', 'time', 'diffeomorphisms', 'forces', 'correlation', 'among', 'different', 'observables', 'like', 'a', 'reduced', 'speed', 'of', 'sound', 'and', 'an', 'enhanced', 'level', 'of', 'nongaussianity']] | [-0.15998488855456897, 0.2052897893439627, -0.09080902615172509, 0.10339772225025846, -0.07758589339552119, -0.14700514865503495, -0.039280478381460496, 0.2966641480699668, -0.2238712794607006, -0.27009202467484605, 0.06473881241582408, -0.24448052242718213, -0.13702782951112763, 0.1600719198548034, -0.03477613842708296, 0.05547271944997905, -0.018700152669814143, 0.07963582018414646, -0.06106203512609723, -0.23531762267131165, 0.34525087158031326, 0.10099537263386975, 0.2726344643343313, 0.0014937755517095473, 0.12053187353402571, -0.007916576442083502, -0.015143493269159295, 0.03419396826644349, -0.13958774798921023, 0.10393699094823568, 0.19204861764991815, 0.09262771954763, 0.21515947948909955, -0.39867916355043453, -0.22804328508133348, 0.14020373354501584, 0.10008778897101923, 0.1538503173239578, 0.0008574021201020752, -0.29470332266208926, 0.055901929103081525, -0.14096131048384397, -0.1627989435930633, -0.10393803128424813, 0.0035825076328858344, -0.0692616976216265, -0.24302206854290312, 0.0865315021448647, 0.028944003611827404, 0.04011761363853664, -0.06206565310157458, -0.04599209849454852, -0.04402218196614116, 0.07889733354186676, 0.10190848701670036, 0.04538270330997762, 0.1382225894527449, -0.16607171605535923, -0.09358727064377817, 0.3994076116820128, -0.16157429414539556, -0.21672094329808125, 0.16984502198722431, -0.1639093492587943, -0.13631043139406862, 0.11037859339510499, 0.1332837302310794, 0.13808841964388205, -0.1276134198738469, 0.2007740564458681, 0.043317572375016856, 0.1377593357347293, 0.1175235380719909, 0.032304903684835275, 0.24127627292714915, 0.10466083989089076, 0.05442261635295414, 0.08746625965360698, -0.023534403992147228, -0.10924976837579344, -0.3632740798570654, -0.1421938273215703, -0.11591743202663173, 0.05666171580406965, -0.1566033849117553, -0.20047864923862363, 0.41605687134722674, 0.12435110922890648, 0.18334782731968885, 0.06672104761260104, 0.2667800695483201, 0.1142888149380489, 0.07070962730277744, 0.06880049420265007, 0.243230818177336, 0.13166388567823162, 0.0743434802976017, -0.2073867129484569, -0.0529591393622028, 0.06693546789594823] |
709.0294 | Brane-world inflation: slow-roll corrections to the spectral index | We quantify the slow-roll corrections to primordial density perturbations
arising from inflation driven by a four-dimensional scalar field with a
monomial potential in a five-dimensional non-compact bulk spacetime. Although
the difference between the classical brane-world solutions and standard
four-dimensional solutions is large at early times, the change to the amplitude
at late times of perturbations generated from quantum fluctuations is
first-order in slow-roll parameters, leading to second-order slow-roll
corrections to the spectral index. This confirms that the leading-order effects
are correctly given by previous work in the literature.
| astro-ph gr-qc hep-th | we quantify the slowroll corrections to primordial density perturbations arising from inflation driven by a fourdimensional scalar field with a monomial potential in a fivedimensional noncompact bulk spacetime although the difference between the classical braneworld solutions and standard fourdimensional solutions is large at early times the change to the amplitude at late times of perturbations generated from quantum fluctuations is firstorder in slowroll parameters leading to secondorder slowroll corrections to the spectral index this confirms that the leadingorder effects are correctly given by previous work in the literature | [['we', 'quantify', 'the', 'slowroll', 'corrections', 'to', 'primordial', 'density', 'perturbations', 'arising', 'from', 'inflation', 'driven', 'by', 'a', 'fourdimensional', 'scalar', 'field', 'with', 'a', 'monomial', 'potential', 'in', 'a', 'fivedimensional', 'noncompact', 'bulk', 'spacetime', 'although', 'the', 'difference', 'between', 'the', 'classical', 'braneworld', 'solutions', 'and', 'standard', 'fourdimensional', 'solutions', 'is', 'large', 'at', 'early', 'times', 'the', 'change', 'to', 'the', 'amplitude', 'at', 'late', 'times', 'of', 'perturbations', 'generated', 'from', 'quantum', 'fluctuations', 'is', 'firstorder', 'in', 'slowroll', 'parameters', 'leading', 'to', 'secondorder', 'slowroll', 'corrections', 'to', 'the', 'spectral', 'index', 'this', 'confirms', 'that', 'the', 'leadingorder', 'effects', 'are', 'correctly', 'given', 'by', 'previous', 'work', 'in', 'the', 'literature']] | [-0.13672379859384487, 0.16754825005773455, -0.10418894583232362, 0.09940674921778157, -0.051453447371551934, -0.09341710415901616, -0.06319687143232758, 0.2491701478985223, -0.19090884098973634, -0.2743804140270434, 0.06368271485023963, -0.28367957968095486, -0.12688891010475345, 0.1191402028171896, -0.07779919491572813, 0.05462086286438121, -0.008769502147598278, 0.02141691871326078, -0.09418505871144589, -0.25979672431607137, 0.3740755414487053, 0.07672256390659724, 0.23029931542590598, -0.019026870987462727, 0.02243894766698676, -0.0912602670406076, -0.0021812385847707364, 0.025207276053896003, -0.18107083551256603, 0.05017961728894575, 0.19918417336984104, 0.05125868871321224, 0.19567199599367252, -0.43255792784673924, -0.26166414843067864, 0.16111639557956633, 0.12136972487628968, 0.20584083047420296, -0.011921191767958755, -0.2877135266740383, 0.06965184856248512, -0.15927926773226567, -0.14164023141546006, -0.06427359429918314, 0.03347710555615115, -0.06934556030583652, -0.30864710568196396, 0.14778632657941093, -0.005825861521192233, -0.0087767736510035, -0.025243593998973003, -0.025619243282232095, -0.04237409662561153, 0.04111119878838177, 0.16374689604642548, 0.062188036123354155, 0.1367123141853054, -0.14624386866754238, -0.09888736297910906, 0.3950633718208833, -0.18596324873876505, -0.14150001992344519, 0.08890179943674328, -0.1957208090726371, -0.11547795186792924, 0.15153291314543987, 0.11933009612204676, 0.12090121420161185, -0.11980062219928103, 0.20257584619883512, 0.13016555498920337, 0.1522703022426206, 0.11630555616945705, 0.02753752500178631, 0.2694900795944374, 0.05851409053271213, -0.006216325982346792, 0.11718406480080872, -0.0176981857300482, -0.16084227376003665, -0.3980147985381667, -0.05287694206609475, -0.158187254533087, 0.08641534943175926, -0.20234529239066681, -0.20221551856957376, 0.4338701701172712, 0.13661879592837067, 0.16500865379136734, 0.062283863498702303, 0.28989663802679966, 0.1415082052381794, 0.04455528236840936, 0.08741220831077291, 0.3311867303299633, 0.14194587092656133, 0.13567268756345252, -0.2493271784782833, -0.04710158451978879, 0.08947748969446613] |
709.0295 | On the consistency relation of the 3-point function in single field
inflation | The consistency relation for the 3-point function of the CMB is a very
powerful observational signature which is believed to be true for every
inflationary model in which there is only one dynamical degree of freedom. Its
importance relies on the fact that deviations from it might be detected in next
generation experiments, allowing us to rule out all single field inflationary
models. After making more precise the already existing proof of the consistency
relation, we use a recently developed effective field theory for inflationary
perturbations to provide an alternative and very explicit proof valid at
leading non trivial order in slow roll parameters.
| hep-th astro-ph hep-ph | the consistency relation for the 3point function of the cmb is a very powerful observational signature which is believed to be true for every inflationary model in which there is only one dynamical degree of freedom its importance relies on the fact that deviations from it might be detected in next generation experiments allowing us to rule out all single field inflationary models after making more precise the already existing proof of the consistency relation we use a recently developed effective field theory for inflationary perturbations to provide an alternative and very explicit proof valid at leading non trivial order in slow roll parameters | [['the', 'consistency', 'relation', 'for', 'the', '3point', 'function', 'of', 'the', 'cmb', 'is', 'a', 'very', 'powerful', 'observational', 'signature', 'which', 'is', 'believed', 'to', 'be', 'true', 'for', 'every', 'inflationary', 'model', 'in', 'which', 'there', 'is', 'only', 'one', 'dynamical', 'degree', 'of', 'freedom', 'its', 'importance', 'relies', 'on', 'the', 'fact', 'that', 'deviations', 'from', 'it', 'might', 'be', 'detected', 'in', 'next', 'generation', 'experiments', 'allowing', 'us', 'to', 'rule', 'out', 'all', 'single', 'field', 'inflationary', 'models', 'after', 'making', 'more', 'precise', 'the', 'already', 'existing', 'proof', 'of', 'the', 'consistency', 'relation', 'we', 'use', 'a', 'recently', 'developed', 'effective', 'field', 'theory', 'for', 'inflationary', 'perturbations', 'to', 'provide', 'an', 'alternative', 'and', 'very', 'explicit', 'proof', 'valid', 'at', 'leading', 'non', 'trivial', 'order', 'in', 'slow', 'roll', 'parameters']] | [-0.11665758513285815, 0.1093093403605263, -0.15251579237295887, 0.13415132326750048, -0.13702098223327014, -0.17726310469823567, 0.024575073752203025, 0.3120363918849482, -0.23326336722283697, -0.2849105157925246, 0.10735914344975474, -0.2140932515881454, -0.1403100537180972, 0.23133935859032834, -0.00018975447612599685, 0.030377808424908344, 0.04835817824865584, 0.03957119780002708, -0.03460672625134556, -0.2641614087176724, 0.28049163180716835, 0.10880948940589755, 0.2599842465609142, 0.012376504838287544, 0.0987771401862399, -0.011236689192278741, -0.026496534826807104, 0.005223369435183345, -0.11954070797533999, 0.10487481153820856, 0.23324877470947916, 0.13686790118348513, 0.2293486450619709, -0.400971606663426, -0.20617757374958062, 0.14278221988262466, 0.1216850086974983, 0.16634554490044068, -0.032075603626463604, -0.22433634340548173, 0.07315936548492083, -0.1606495073682219, -0.16668375455237067, -0.12919885230859599, 0.044774682650593325, -0.07532166434863868, -0.31315150951111437, 0.08009564339786615, 0.06037530777253918, 0.035118089424661145, 0.014134180354840983, -0.04734419128642632, -0.0064207998310359055, 0.1058608660241589, 0.08455121235657806, 0.06870954503000785, 0.0787643930424775, -0.14838205157922438, -0.07241319490668292, 0.3728416175984491, -0.08272061539509405, -0.16460407382020584, 0.1889806925789274, -0.12207532073192012, -0.198789729919204, 0.10283223686900993, 0.08300580280886677, 0.11480558068937032, -0.14546890925311556, 0.10141152712066497, 0.029086070475526728, 0.18759037172780013, 0.08049981112372524, 0.0312759292159731, 0.2944009505713788, 0.12949729696489298, 0.07886594103631349, 0.08615934576328772, -0.04238069951847697, -0.1052854579891293, -0.349348305827544, -0.09920771804060607, -0.15996953890135046, 0.07180612002803873, -0.12246176618352295, -0.16414169194803646, 0.39765400391143674, 0.19446614261855408, 0.1672062183587024, 0.07314742197363208, 0.2909815775839469, 0.1050730204084315, 0.100342073511386, 0.04631464281611933, 0.328506698160289, 0.14442037452737658, 0.07444709407774588, -0.13724685837111722, 0.08521974322726376, 0.06537440028758003] |
709.0296 | The pattern of growth in viable f(R) cosmologies | We study the evolution of linear perturbations in metric f(R) models of
gravity and identify a potentially observable characteristic scale-dependent
pattern in the behavior of cosmological structures. While at the background
level viable f(R) models must closely mimic LCDM, the differences in their
prediction for the growth of large scale structures can be sufficiently large
to be seen with future weak lensing surveys. While working in the Jordan frame,
we perform an analytical study of the growth of structures in the Einstein
frame, demonstrating the equivalence of the dynamics in the two frames. We also
provide a physical interpretation of the results in terms of the dynamics of an
effective dark energy fluid with a non-zero shear. We find that the growth of
structure in f(R) is enhanced, but that there are no small scale instabilities
associated with the additional attractive "fifth force". We then briefly
consider some recently proposed observational tests of modified gravity and
their utility for detecting the f(R) pattern of structure growth.
| astro-ph gr-qc | we study the evolution of linear perturbations in metric fr models of gravity and identify a potentially observable characteristic scaledependent pattern in the behavior of cosmological structures while at the background level viable fr models must closely mimic lcdm the differences in their prediction for the growth of large scale structures can be sufficiently large to be seen with future weak lensing surveys while working in the jordan frame we perform an analytical study of the growth of structures in the einstein frame demonstrating the equivalence of the dynamics in the two frames we also provide a physical interpretation of the results in terms of the dynamics of an effective dark energy fluid with a nonzero shear we find that the growth of structure in fr is enhanced but that there are no small scale instabilities associated with the additional attractive fifth force we then briefly consider some recently proposed observational tests of modified gravity and their utility for detecting the fr pattern of structure growth | [['we', 'study', 'the', 'evolution', 'of', 'linear', 'perturbations', 'in', 'metric', 'fr', 'models', 'of', 'gravity', 'and', 'identify', 'a', 'potentially', 'observable', 'characteristic', 'scaledependent', 'pattern', 'in', 'the', 'behavior', 'of', 'cosmological', 'structures', 'while', 'at', 'the', 'background', 'level', 'viable', 'fr', 'models', 'must', 'closely', 'mimic', 'lcdm', 'the', 'differences', 'in', 'their', 'prediction', 'for', 'the', 'growth', 'of', 'large', 'scale', 'structures', 'can', 'be', 'sufficiently', 'large', 'to', 'be', 'seen', 'with', 'future', 'weak', 'lensing', 'surveys', 'while', 'working', 'in', 'the', 'jordan', 'frame', 'we', 'perform', 'an', 'analytical', 'study', 'of', 'the', 'growth', 'of', 'structures', 'in', 'the', 'einstein', 'frame', 'demonstrating', 'the', 'equivalence', 'of', 'the', 'dynamics', 'in', 'the', 'two', 'frames', 'we', 'also', 'provide', 'a', 'physical', 'interpretation', 'of', 'the', 'results', 'in', 'terms', 'of', 'the', 'dynamics', 'of', 'an', 'effective', 'dark', 'energy', 'fluid', 'with', 'a', 'nonzero', 'shear', 'we', 'find', 'that', 'the', 'growth', 'of', 'structure', 'in', 'fr', 'is', 'enhanced', 'but', 'that', 'there', 'are', 'no', 'small', 'scale', 'instabilities', 'associated', 'with', 'the', 'additional', 'attractive', 'fifth', 'force', 'we', 'then', 'briefly', 'consider', 'some', 'recently', 'proposed', 'observational', 'tests', 'of', 'modified', 'gravity', 'and', 'their', 'utility', 'for', 'detecting', 'the', 'fr', 'pattern', 'of', 'structure', 'growth']] | [-0.17080893550847984, 0.09559099884238795, -0.10749308276682719, 0.11672615286605208, -0.07374678666041379, -0.10227241351953652, -0.0656265963615109, 0.33003170549847094, -0.26354175625391396, -0.3061384908568832, 0.08789481611148152, -0.23189760756774255, -0.1557528185630105, 0.16610991220966162, -0.004428108593067491, 0.021162756814071572, 0.010725536678934538, 0.04011499759876478, -0.06268872577326753, -0.23832265341918107, 0.3422947974836297, 0.1323737287234672, 0.25345943718678765, 0.000996112348006881, 0.06873358462878268, -0.08436228678118528, -0.05123398616259177, 0.09930631493678294, -0.16792669218531123, 0.09478622351573915, 0.21131891390835236, 0.12794375576987774, 0.24668892599917186, -0.431079113468842, -0.2435602008250082, 0.09528460150517254, 0.11340080819188067, 0.1441094629993909, -0.10283876539219215, -0.2569369052295539, 0.08722189782679653, -0.16135476171165278, -0.13283156322775386, -0.050911374434745305, 0.023737796963787222, 0.02477249901682834, -0.24225101440777463, 0.11373067988645207, 0.026330378641038137, 0.028679759979405136, -0.10105301047105858, -0.03921688096429479, -0.007364180306511292, 0.10164358309492559, 0.0935037202771237, -2.789705152292343e-05, 0.11634899674162986, -0.19616459274428885, -0.08646728687762585, 0.4419212040816804, -0.14029756675829202, -0.20198115387914636, 0.19202194655740476, -0.19329440419517277, -0.15612382184383067, 0.07149232769699161, 0.17583526050986117, 0.07230643646971109, -0.12072982582479648, 0.10715184037304337, 0.010946860946490463, 0.15277354672259416, 0.07871410723338015, 0.05371612006818023, 0.2825278544557247, 0.16122318151216192, 0.03237908540001835, 0.10128836400515165, -0.07757700879318942, -0.06585045837157641, -0.3351727512606184, -0.13602959543904178, -0.1170778691302985, 0.024707945798669594, -0.14665961957305912, -0.17651171850163982, 0.3935996235898101, 0.1456503626211625, 0.20888985157313095, 0.06665165167591529, 0.2452036639316434, 0.07629673436132585, 0.09154284551896784, 0.04793942397662315, 0.3124388148343676, 0.08920086491628583, 0.05876185429767784, -0.24681145688574985, 0.021574044737583363, 0.0029021479169759586] |
709.0297 | Goldilocks Supersymmetry: Simultaneous Solution to the Dark Matter and
Flavor Problems of Supersymmetry | Neutralino dark matter is well motivated, but also suffers from two
shortcomings: it requires gravity-mediated supersymmetry breaking, which
generically violates flavor constraints, and its thermal relic density \Omega
is typically too large. We propose a simple solution to both problems:
neutralinos freezeout with \Omega ~10-100, but then decay to ~1 GeV gravitinos,
which are simultaneously light enough to satisfy flavor constraints and heavy
enough to be all of dark matter. This scenario is naturally realized in
high-scale gauge-mediation models, ameliorates small scale structure problems,
and implies that ``cosmologically excluded'' models may, in fact, be
cosmologically preferred.
| hep-ph astro-ph hep-th | neutralino dark matter is well motivated but also suffers from two shortcomings it requires gravitymediated supersymmetry breaking which generically violates flavor constraints and its thermal relic density omega is typically too large we propose a simple solution to both problems neutralinos freezeout with omega 10100 but then decay to 1 gev gravitinos which are simultaneously light enough to satisfy flavor constraints and heavy enough to be all of dark matter this scenario is naturally realized in highscale gaugemediation models ameliorates small scale structure problems and implies that cosmologically excluded models may in fact be cosmologically preferred | [['neutralino', 'dark', 'matter', 'is', 'well', 'motivated', 'but', 'also', 'suffers', 'from', 'two', 'shortcomings', 'it', 'requires', 'gravitymediated', 'supersymmetry', 'breaking', 'which', 'generically', 'violates', 'flavor', 'constraints', 'and', 'its', 'thermal', 'relic', 'density', 'omega', 'is', 'typically', 'too', 'large', 'we', 'propose', 'a', 'simple', 'solution', 'to', 'both', 'problems', 'neutralinos', 'freezeout', 'with', 'omega', '10100', 'but', 'then', 'decay', 'to', '1', 'gev', 'gravitinos', 'which', 'are', 'simultaneously', 'light', 'enough', 'to', 'satisfy', 'flavor', 'constraints', 'and', 'heavy', 'enough', 'to', 'be', 'all', 'of', 'dark', 'matter', 'this', 'scenario', 'is', 'naturally', 'realized', 'in', 'highscale', 'gaugemediation', 'models', 'ameliorates', 'small', 'scale', 'structure', 'problems', 'and', 'implies', 'that', 'cosmologically', 'excluded', 'models', 'may', 'in', 'fact', 'be', 'cosmologically', 'preferred']] | [-0.11997135093649074, 0.28654818949871697, -0.10060427766681339, 0.20704928415216273, -0.1844625938538229, -0.22552476791558243, -0.003596088230551686, 0.3250477228163315, -0.271399915034029, -0.3609462816481634, 0.09886661395042513, -0.22125048809296763, 0.014116007776465267, 0.12353686956703314, -0.03976317818160169, 0.029963888222482638, 0.053015271618884675, -0.041348484923219075, -0.020823942072941765, -0.25592800815502414, 0.26946065687176696, 0.011370446144913634, 0.18069057200773386, 0.13215574842858283, 0.061907270030739404, -0.12421792336681392, 0.01676331425551325, -0.035583856977609685, -0.09467732796027424, 0.038082273293791026, 0.23327538655674593, 0.14377213988336734, 0.11991723787650699, -0.4129233950043272, -0.24372070177923888, 0.2765731825735808, 0.2034445334550886, 0.12672056077038482, -0.07095242892683018, -0.2855716571066296, 0.12139757316132697, -0.20338053315451057, -0.08738578083284665, -0.08370146086963359, -0.03862970592066025, -0.13341070807655342, -0.31619993573804095, 0.161079963617946, -0.04347293350413869, -0.11733904064749368, -0.016344629433054553, -0.10613391185567404, -0.05006115403133057, -0.09719737214133299, 0.2084448333431889, -0.03252855650498532, 0.2040893565523826, -0.19474427483267695, -0.034153349333791994, 0.49399148509837687, -0.07127403526101261, -0.17291452777772065, 0.1962137144243267, -0.12612685470473176, -0.22932426547049545, 0.14506455807713792, 0.10863337415503338, 0.10635952410909037, -0.13652476221189622, 0.19829690102596942, -0.027975352923628332, 0.20379904758253056, 0.07595346126375564, 0.06813124416415424, 0.3307763366416718, 0.17547090778437754, 0.10159377325908281, 0.0016623573271014418, -0.005569695643013499, -0.08025871838132541, -0.40340931059377755, -0.03170528957465043, -0.10459566545493242, 0.03398831426269074, -0.07949033715173452, -0.09046560544326591, 0.3106456352834357, 0.10716814960202707, 0.27453706798648153, 0.04546763986339405, 0.2941784723516321, 0.06914480300171515, 0.08827851911094815, 0.07227916225383524, 0.2813743843386571, 0.1128783468423838, 0.09903474882836842, -0.1834439364586918, -0.014605069494185349, -0.024808906260053238] |
709.0298 | Narrow-band surveys for very high redshift Lyman-alpha emitters | Context: Many current and future surveys aim to detect the highest redshift
(z >~ 7) sources through their Lyman-alpha (Ly-alpha) emission, using the
narrow-band imaging method. However, to date the surveys have only yielded
non-detections and upper limits as no survey has reached the necessary
combination of depth and area to detect these very young star forming galaxies.
Aims: We aim to calculate model luminosity functions and mock surveys of
Ly-alpha emitters at z >~ 7 based on a variety of approaches.
Methods: We calculate model luminosity functions at different redshifts based
on three different approaches: a semi-analytical model based on CDM, a simple
phenomenological model, and an extrapolation of observed Schechter functions at
lower redshifts. The results of the first two models are compared with
observations made at redshifts z ~ 5.7 and z ~ 6.5, and they are then
extrapolated to higher redshift.
Results: We present model luminosity functions for redshifts between z = 7 -
12.5 and give specific number predictions for future planned or possible
narrow-band surveys for Ly-alpha emitters. We also investigate what constraints
future observations will be able to place on the Ly-alpha luminosity function
at very high redshift.
Conclusion: It should be possible to observe z = 7 - 10 Ly-alpha emitters
with present or near-future instruments if enough observing time is allocated.
In particular, large area surveys such as ELVIS (Emission Line galaxies with
VISTA Survey) will be useful in collecting a large sample. However, to get a
large enough sample to constrain well the z >= 10 Ly-alpha luminosity function,
instruments further in the future, such as an ELT, will be necessary.
| astro-ph | context many current and future surveys aim to detect the highest redshift z 7 sources through their lymanalpha lyalpha emission using the narrowband imaging method however to date the surveys have only yielded nondetections and upper limits as no survey has reached the necessary combination of depth and area to detect these very young star forming galaxies aims we aim to calculate model luminosity functions and mock surveys of lyalpha emitters at z 7 based on a variety of approaches methods we calculate model luminosity functions at different redshifts based on three different approaches a semianalytical model based on cdm a simple phenomenological model and an extrapolation of observed schechter functions at lower redshifts the results of the first two models are compared with observations made at redshifts z 57 and z 65 and they are then extrapolated to higher redshift results we present model luminosity functions for redshifts between z 7 125 and give specific number predictions for future planned or possible narrowband surveys for lyalpha emitters we also investigate what constraints future observations will be able to place on the lyalpha luminosity function at very high redshift conclusion it should be possible to observe z 7 10 lyalpha emitters with present or nearfuture instruments if enough observing time is allocated in particular large area surveys such as elvis emission line galaxies with vista survey will be useful in collecting a large sample however to get a large enough sample to constrain well the z 10 lyalpha luminosity function instruments further in the future such as an elt will be necessary | [['context', 'many', 'current', 'and', 'future', 'surveys', 'aim', 'to', 'detect', 'the', 'highest', 'redshift', 'z', '7', 'sources', 'through', 'their', 'lymanalpha', 'lyalpha', 'emission', 'using', 'the', 'narrowband', 'imaging', 'method', 'however', 'to', 'date', 'the', 'surveys', 'have', 'only', 'yielded', 'nondetections', 'and', 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709.0299 | Binary black hole merger: symmetry and the spin expansion | We regard binary black hole (BBH) merger as a map from a simple initial state
(two Kerr black holes, with dimensionless spins {\bf a} and {\bf b}) to a
simple final state (a Kerr black hole with mass m, dimensionless spin {\bf s},
and kick velocity {\bf k}). By expanding this map around {\bf a} = {\bf b} = 0
and applying symmetry constraints, we obtain a simple formalism that is
remarkably successful at explaining existing BBH simulations. It also makes
detailed predictions and suggests a more efficient way of mapping the parameter
space of binary black hole merger. Since we rely on symmetry rather than
dynamics, our expansion complements previous analytical techniques.
| gr-qc astro-ph hep-ph hep-th | we regard binary black hole bbh merger as a map from a simple initial state two kerr black holes with dimensionless spins bf a and bf b to a simple final state a kerr black hole with mass m dimensionless spin bf s and kick velocity bf k by expanding this map around bf a bf b 0 and applying symmetry constraints we obtain a simple formalism that is remarkably successful at explaining existing bbh simulations it also makes detailed predictions and suggests a more efficient way of mapping the parameter space of binary black hole merger since we rely on symmetry rather than dynamics our expansion complements previous analytical techniques | [['we', 'regard', 'binary', 'black', 'hole', 'bbh', 'merger', 'as', 'a', 'map', 'from', 'a', 'simple', 'initial', 'state', 'two', 'kerr', 'black', 'holes', 'with', 'dimensionless', 'spins', 'bf', 'a', 'and', 'bf', 'b', 'to', 'a', 'simple', 'final', 'state', 'a', 'kerr', 'black', 'hole', 'with', 'mass', 'm', 'dimensionless', 'spin', 'bf', 's', 'and', 'kick', 'velocity', 'bf', 'k', 'by', 'expanding', 'this', 'map', 'around', 'bf', 'a', 'bf', 'b', '0', 'and', 'applying', 'symmetry', 'constraints', 'we', 'obtain', 'a', 'simple', 'formalism', 'that', 'is', 'remarkably', 'successful', 'at', 'explaining', 'existing', 'bbh', 'simulations', 'it', 'also', 'makes', 'detailed', 'predictions', 'and', 'suggests', 'a', 'more', 'efficient', 'way', 'of', 'mapping', 'the', 'parameter', 'space', 'of', 'binary', 'black', 'hole', 'merger', 'since', 'we', 'rely', 'on', 'symmetry', 'rather', 'than', 'dynamics', 'our', 'expansion', 'complements', 'previous', 'analytical', 'techniques']] | [-0.18192614108923957, 0.08868820679705455, -0.06029723597656902, 0.04373988746623467, -0.1510741715529212, -0.15713605747835055, 0.07207343156181008, 0.3425818390070318, -0.14673838530339905, -0.28022905016267624, 0.04913715194692617, -0.2628507282593296, -0.09439001262171177, 0.22156821175579083, 0.005887419908299102, 0.024844296931012255, 0.04720453879804359, 0.006843876882313608, -0.16716943343740528, -0.21151917342197252, 0.3093731096055021, 0.06565193766476335, 0.171722700701909, -0.09255412916090709, 0.1384874054499239, 0.03149724505036264, 0.02214886008988361, 0.008759495596399295, -0.2192188180327706, 0.03664693779203, 0.19623386817942332, 0.1314159289531007, 0.17648712693302482, -0.34643716731754776, -0.20434464985790016, 0.02857276168232364, 0.15195631264364934, 0.17429295083393054, -0.08468976931036597, -0.27373349706239597, 0.06861270846681553, -0.28482952501691944, -0.10300207886895216, -0.08895969820452167, 0.15477433992835046, -0.04313640414762336, -0.2976302966425145, 0.15448386158121893, 0.1170675411342165, -0.0602304089629838, -0.0554396497958281, -0.05914328776736249, -0.08732353142664037, 0.006712903890565776, 0.07102384052222578, 0.14041292446514442, 0.18541763247376694, -0.07132427885222274, -0.10841265655131088, 0.3600187704873246, -0.048609201920765184, -0.16761905630958174, 0.2006839047907642, -0.22093057883735578, -0.1285691220808338, 0.10599175723152118, 0.1547669266090468, 0.20595987976805583, -0.12333606371471474, 0.11421364746559914, -0.031398028498179874, 0.20465994432467866, 0.09628850142765152, -0.000368425200970189, 0.36975798586400244, 0.11344856879598386, 0.027239911451197422, 0.08963595244609793, -0.07134814427217452, -0.06208513234951743, -0.26121880931293107, -0.10659631128139875, -0.20757912483636862, 0.1730679617271767, -0.15612470485251145, -0.10672570023736036, 0.33943016734393733, 0.10625127603106939, 0.2624953303754598, 0.0033517953780320313, 0.23811015558208423, 0.05235666680560858, -0.023839188331679383, 0.1384124232598723, 0.2726669294711387, 0.16078286530945013, 0.07583715415115024, -0.2087197397292281, -0.0363893851486815, 0.0658807756530272] |
709.03 | Decoding the spectra of SDSS early-type galaxies: New indicators of age
and recent star formation | (Abridged) We apply Principal Component Analysis (PCA) to a sample of
early-type galaxies from the Sloan Digital Sky Survey (SDSS) in order to infer
differences in their star formation histories. Out of the first few principal
components (PC), we study four which give information about stellar populations
and velocity dispersion. We construct two parameters (eta and zeta) as linear
combinations of PC1 and PC2. We find zeta to be most sensitive to recent
episodes of star formation, and eta to be strongly dependent on the average age
of the stellar populations. The distribution of the eta component of the
composites appear to be indistinguishable between high and low density regions,
whereas the distribution of zeta parameters have a significant skew towards
lower values for galaxies in low density regions. This result suggests that
galaxies in lower density environments are less likely to present weak episodes
of recent star formation. In contrast, a significant number of galaxies from
our high density subsample -- which includes clusters (both outer regions and
centres) and groups -- underwent small but detectable recent star formation at
high metallicity, in agreement with recent estimates targeting elliptical
galaxies in Hickson Compact Groups and in the field (Ferreras et al.).
| astro-ph | abridged we apply principal component analysis pca to a sample of earlytype galaxies from the sloan digital sky survey sdss in order to infer differences in their star formation histories out of the first few principal components pc we study four which give information about stellar populations and velocity dispersion we construct two parameters eta and zeta as linear combinations of pc1 and pc2 we find zeta to be most sensitive to recent episodes of star formation and eta to be strongly dependent on the average age of the stellar populations the distribution of the eta component of the composites appear to be indistinguishable between high and low density regions whereas the distribution of zeta parameters have a significant skew towards lower values for galaxies in low density regions this result suggests that galaxies in lower density environments are less likely to present weak episodes of recent star formation in contrast a significant number of galaxies from our high density subsample which includes clusters both outer regions and centres and groups underwent small but detectable recent star formation at high metallicity in agreement with recent estimates targeting elliptical galaxies in hickson compact groups and in the field ferreras et al | [['abridged', 'we', 'apply', 'principal', 'component', 'analysis', 'pca', 'to', 'a', 'sample', 'of', 'earlytype', 'galaxies', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'in', 'order', 'to', 'infer', 'differences', 'in', 'their', 'star', 'formation', 'histories', 'out', 'of', 'the', 'first', 'few', 'principal', 'components', 'pc', 'we', 'study', 'four', 'which', 'give', 'information', 'about', 'stellar', 'populations', 'and', 'velocity', 'dispersion', 'we', 'construct', 'two', 'parameters', 'eta', 'and', 'zeta', 'as', 'linear', 'combinations', 'of', 'pc1', 'and', 'pc2', 'we', 'find', 'zeta', 'to', 'be', 'most', 'sensitive', 'to', 'recent', 'episodes', 'of', 'star', 'formation', 'and', 'eta', 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709.0301 | Geometrically induced singular behavior of entanglement | We show that the geometry of the set of quantum states plays a crucial role
in the behavior of entanglement in different physical systems. More
specifically it is shown that singular points at the border of the set of
unentangled states appear as singularities in the dynamics of entanglement of
smoothly varying quantum states. We illustrate this result by implementing a
photonic parametric down conversion experiment. Moreover, this effect is
connected to recently discovered singularities in condensed matter models.
| quant-ph | we show that the geometry of the set of quantum states plays a crucial role in the behavior of entanglement in different physical systems more specifically it is shown that singular points at the border of the set of unentangled states appear as singularities in the dynamics of entanglement of smoothly varying quantum states we illustrate this result by implementing a photonic parametric down conversion experiment moreover this effect is connected to recently discovered singularities in condensed matter models | [['we', 'show', 'that', 'the', 'geometry', 'of', 'the', 'set', 'of', 'quantum', 'states', 'plays', 'a', 'crucial', 'role', 'in', 'the', 'behavior', 'of', 'entanglement', 'in', 'different', 'physical', 'systems', 'more', 'specifically', 'it', 'is', 'shown', 'that', 'singular', 'points', 'at', 'the', 'border', 'of', 'the', 'set', 'of', 'unentangled', 'states', 'appear', 'as', 'singularities', 'in', 'the', 'dynamics', 'of', 'entanglement', 'of', 'smoothly', 'varying', 'quantum', 'states', 'we', 'illustrate', 'this', 'result', 'by', 'implementing', 'a', 'photonic', 'parametric', 'down', 'conversion', 'experiment', 'moreover', 'this', 'effect', 'is', 'connected', 'to', 'recently', 'discovered', 'singularities', 'in', 'condensed', 'matter', 'models']] | [-0.15905987449237913, 0.17629370782995904, -0.12707350486771593, 0.055115679939147795, 0.018953249777985525, -0.1391382858899858, 0.03207247952423707, 0.3085384126516837, -0.2523408135092711, -0.25984873504766937, 0.05891604010675904, -0.28273700371007376, -0.191869861169282, 0.1872211795099834, -0.022541456455011155, 0.09820849248031273, 0.029461100143439407, 0.017278522803062055, -0.047103892746558296, -0.23172013430349245, 0.39027976952021637, 0.018404446928349288, 0.30514090303095837, 0.08333050566312822, 0.08369945344526934, -0.025930909198249065, 0.03529231357565032, 0.007002092567802985, -0.09063468038349831, 0.09055009730163184, 0.2958006309955532, 0.08387264999549222, 0.26058635379694683, -0.4259375327655786, -0.22899800819592386, 0.11829695850021288, 0.15140132649648416, 0.14911970959481183, -0.04995028236442499, -0.2810562783498553, 0.0423747319846025, -0.15227877612732635, -0.1746345121778925, -0.07192226513465748, 0.028619887324969603, -0.05182502903574724, -0.18054952065215765, 0.06302376399759817, 0.08984385546343991, 0.03836166209105072, 0.020458809275451247, -0.028983506851511288, -0.040060758154509185, 0.11149868709801496, -0.038465867190374224, -0.013505311989331548, 0.12856568727359363, -0.17795417951478895, -0.13708326325580902, 0.36559828972853603, -0.0301147020802114, -0.183721271367107, 0.1938420252850916, -0.14760452765924267, -0.12574450573235563, 0.083566457569552, 0.1523453340382327, 0.12039243467328951, -0.08889567391074533, 0.0956352158697157, -0.035791275179885985, 0.1364923845976591, 0.07367635956859286, 0.0993093031965479, 0.23487888230010867, 0.1472940825432822, 0.059994833137179855, 0.19854278000708245, -0.051780579588081264, -0.15929840242820262, -0.32180907850778556, -0.18388499308353926, -0.21123056023534906, 0.07702196317819195, -0.0632203820314777, -0.15155910811485734, 0.42220810629851835, 0.12738688474025908, 0.2151831503297332, -0.038747394366095526, 0.2262302620713658, 0.10490481965310129, 0.05194779404120732, 0.05214818582363144, 0.2859634006089425, 0.12780837712609033, 0.060057600700779805, -0.23622168490922527, 0.03328950147224072, 0.015711889322257682] |
709.0302 | SN 2005ap: A Most Brilliant Explosion | We present unfiltered photometric observations with ROTSE-III and optical
spectroscopic follow-up with the HET and Keck of the most luminous supernova
yet identified, SN 2005ap. The spectra taken about 3 days before and 6 days
after maximum light show narrow emission lines (likely originating in the dwarf
host) and absorption lines at a redshift of z=0.2832, which puts the peak
unfiltered magnitude at -22.7 +/- 0.1 absolute. Broad P-Cygni features
corresponding to H-alpha, CIII, NIII, and OIII, are further detected with a
photospheric velocity of ~20,000 km/s. Unlike other highly luminous supernovae
such as 2006gy and 2006tf that show slow photometric evolution, the light curve
of SN 2005ap indicates a 1-3 week rise to peak followed by a relatively rapid
decay. The spectra also lack the distinct emission peaks from moderately
broadened (FWHM ~ 2,000 km/s) Balmer lines seen in SN 2006gy and SN 2006tf. We
briefly discuss the origin of the extraordinary luminosity from a strong
interaction as may be expected from a pair instability eruption or a GRB-like
engine encased in a H/He envelope.
| astro-ph | we present unfiltered photometric observations with rotseiii and optical spectroscopic followup with the het and keck of the most luminous supernova yet identified sn 2005ap the spectra taken about 3 days before and 6 days after maximum light show narrow emission lines likely originating in the dwarf host and absorption lines at a redshift of z02832 which puts the peak unfiltered magnitude at 227 01 absolute broad pcygni features corresponding to halpha ciii niii and oiii are further detected with a photospheric velocity of 20000 kms unlike other highly luminous supernovae such as 2006gy and 2006tf that show slow photometric evolution the light curve of sn 2005ap indicates a 13 week rise to peak followed by a relatively rapid decay the spectra also lack the distinct emission peaks from moderately broadened fwhm 2000 kms balmer lines seen in sn 2006gy and sn 2006tf we briefly discuss the origin of the extraordinary luminosity from a strong interaction as may be expected from a pair instability eruption or a grblike engine encased in a hhe envelope | [['we', 'present', 'unfiltered', 'photometric', 'observations', 'with', 'rotseiii', 'and', 'optical', 'spectroscopic', 'followup', 'with', 'the', 'het', 'and', 'keck', 'of', 'the', 'most', 'luminous', 'supernova', 'yet', 'identified', 'sn', '2005ap', 'the', 'spectra', 'taken', 'about', '3', 'days', 'before', 'and', '6', 'days', 'after', 'maximum', 'light', 'show', 'narrow', 'emission', 'lines', 'likely', 'originating', 'in', 'the', 'dwarf', 'host', 'and', 'absorption', 'lines', 'at', 'a', 'redshift', 'of', 'z02832', 'which', 'puts', 'the', 'peak', 'unfiltered', 'magnitude', 'at', '227', '01', 'absolute', 'broad', 'pcygni', 'features', 'corresponding', 'to', 'halpha', 'ciii', 'niii', 'and', 'oiii', 'are', 'further', 'detected', 'with', 'a', 'photospheric', 'velocity', 'of', '20000', 'kms', 'unlike', 'other', 'highly', 'luminous', 'supernovae', 'such', 'as', '2006gy', 'and', '2006tf', 'that', 'show', 'slow', 'photometric', 'evolution', 'the', 'light', 'curve', 'of', 'sn', '2005ap', 'indicates', 'a', '13', 'week', 'rise', 'to', 'peak', 'followed', 'by', 'a', 'relatively', 'rapid', 'decay', 'the', 'spectra', 'also', 'lack', 'the', 'distinct', 'emission', 'peaks', 'from', 'moderately', 'broadened', 'fwhm', '2000', 'kms', 'balmer', 'lines', 'seen', 'in', 'sn', '2006gy', 'and', 'sn', '2006tf', 'we', 'briefly', 'discuss', 'the', 'origin', 'of', 'the', 'extraordinary', 'luminosity', 'from', 'a', 'strong', 'interaction', 'as', 'may', 'be', 'expected', 'from', 'a', 'pair', 'instability', 'eruption', 'or', 'a', 'grblike', 'engine', 'encased', 'in', 'a', 'hhe', 'envelope']] | [-0.022708810620935837, 0.09883332367571922, -0.031947221449001646, 0.08651597153750716, -0.12936972483125855, -0.17748087426954395, 0.06920203553698419, 0.496824155254774, -0.15976505182338427, -0.31168262725103796, 0.07995583357846613, -0.36550967673625734, 0.0002462328801932879, 0.20741966743296586, -0.013987667596203509, -0.08265141963708414, 0.14260439170696745, -0.10372138712447503, -0.07454547702765155, -0.24545841456143283, 0.2362108938745896, 0.049968815319821495, 0.17104199465439585, -0.017153085903883668, 0.04891054618853344, -0.10753438819329002, -0.08081142877826111, -0.04373698254422732, -0.10634167064567578, 0.0006031552114324763, 0.2026031834405283, 0.15901346430128624, 0.22174276783793218, -0.29767937376298487, -0.21447769050335652, 0.05888437129277198, 0.22154047611409078, 0.01763780492107583, -0.028085827826444233, -0.3018927170162902, 0.016134917874675178, -0.1684105046244198, -0.18054007327808552, 0.12911319110348735, 0.08136996932090879, 0.04134218906983733, -0.1928396231092437, 0.1517895000360602, 0.0022836907644287786, 0.1799308111947676, -0.08989677222437532, -0.07665675609087237, -0.10340429367659064, -0.054748971622189606, 0.021501625958033378, 0.038977999826947045, 0.11573013498830055, -0.11879485729317653, 0.002932670977652326, 0.42011293951917245, -0.1311382369644337, 0.18985265215611183, 0.20580927528591686, -0.18408941765816483, -0.1447336720975622, 0.27246750444927487, 0.12449404607561276, 0.09539228711193805, -0.11501729746505274, -0.10206326244720608, 0.029234990194935157, 0.2189860373878087, 0.05316290413190993, 0.12954320429712082, 0.3172773058940737, 0.06813667596430878, -0.04241690145115061, 0.05325813881374594, -0.31228720969547424, 0.05631401065220206, -0.27055619987443824, -0.08723814641273543, -0.08879112472456228, 0.17489180574059013, -0.12203054479668199, -0.11741130423565217, 0.3826195606894554, 0.0718401591206034, 0.2718339860129757, -0.006393083218468967, 0.25394036135006415, 0.10027311070125033, 0.09316438629771072, 0.12043793983569077, 0.36063373170663854, 0.18181932520665056, 0.17064034777849568, -0.20611484081355178, 0.06939479276790914, -0.0030637967273743683] |
709.0303 | Navigability of Complex Networks | Routing information through networks is a universal phenomenon in both
natural and manmade complex systems. When each node has full knowledge of the
global network connectivity, finding short communication paths is merely a
matter of distributed computation. However, in many real networks nodes
communicate efficiently even without such global intelligence. Here we show
that the peculiar structural characteristics of many complex networks support
efficient communication without global knowledge. We also describe a general
mechanism that explains this connection between network structure and function.
This mechanism relies on the presence of a metric space hidden behind an
observable network. Our findings suggest that real networks in nature have
underlying metric spaces that remain undiscovered. Their discovery would have
practical applications ranging from routing in the Internet and searching
social networks, to studying information flows in neural, gene regulatory
networks, or signaling pathways.
| physics.soc-ph cond-mat.dis-nn cs.NI | routing information through networks is a universal phenomenon in both natural and manmade complex systems when each node has full knowledge of the global network connectivity finding short communication paths is merely a matter of distributed computation however in many real networks nodes communicate efficiently even without such global intelligence here we show that the peculiar structural characteristics of many complex networks support efficient communication without global knowledge we also describe a general mechanism that explains this connection between network structure and function this mechanism relies on the presence of a metric space hidden behind an observable network our findings suggest that real networks in nature have underlying metric spaces that remain undiscovered their discovery would have practical applications ranging from routing in the internet and searching social networks to studying information flows in neural gene regulatory networks or signaling pathways | [['routing', 'information', 'through', 'networks', 'is', 'a', 'universal', 'phenomenon', 'in', 'both', 'natural', 'and', 'manmade', 'complex', 'systems', 'when', 'each', 'node', 'has', 'full', 'knowledge', 'of', 'the', 'global', 'network', 'connectivity', 'finding', 'short', 'communication', 'paths', 'is', 'merely', 'a', 'matter', 'of', 'distributed', 'computation', 'however', 'in', 'many', 'real', 'networks', 'nodes', 'communicate', 'efficiently', 'even', 'without', 'such', 'global', 'intelligence', 'here', 'we', 'show', 'that', 'the', 'peculiar', 'structural', 'characteristics', 'of', 'many', 'complex', 'networks', 'support', 'efficient', 'communication', 'without', 'global', 'knowledge', 'we', 'also', 'describe', 'a', 'general', 'mechanism', 'that', 'explains', 'this', 'connection', 'between', 'network', 'structure', 'and', 'function', 'this', 'mechanism', 'relies', 'on', 'the', 'presence', 'of', 'a', 'metric', 'space', 'hidden', 'behind', 'an', 'observable', 'network', 'our', 'findings', 'suggest', 'that', 'real', 'networks', 'in', 'nature', 'have', 'underlying', 'metric', 'spaces', 'that', 'remain', 'undiscovered', 'their', 'discovery', 'would', 'have', 'practical', 'applications', 'ranging', 'from', 'routing', 'in', 'the', 'internet', 'and', 'searching', 'social', 'networks', 'to', 'studying', 'information', 'flows', 'in', 'neural', 'gene', 'regulatory', 'networks', 'or', 'signaling', 'pathways']] | [-0.21097560766886206, 0.06402589584767228, -0.03639136405384287, 0.10171524642352411, -0.1335283556081196, -0.16711443416932795, 0.08014471614601236, 0.4251025554010684, -0.3225354832590472, -0.3027546486638962, 0.07342573121133927, -0.23105787092172508, -0.31769261610403604, 0.16757801872453526, -0.07012431470471672, 0.022388480415448865, 0.08514034923113195, 0.06033221765005208, 0.015123650747027697, -0.2018526660275137, 0.3375471672340951, 0.04359133307700679, 0.32064231923048164, 0.06130389423202063, 0.08394456956311004, -0.010169570828814404, -0.03228753723504669, -0.019798262721193453, -0.054513261667725216, 0.163943296256277, 0.2964282426917067, 0.21924183171916198, 0.30956090222680877, -0.47851592402720283, -0.3292859709418729, 0.19070396810796456, 0.1553907837224992, 0.12666476866336052, -0.04385615048470993, -0.29679337292513314, 0.10848031903853217, -0.13944530382204193, -0.06660798118046835, -0.1209238613130036, 0.013301678629367486, 0.018696398146909574, -0.20254513510735705, 0.005895323857973852, 0.039571389674823335, 0.06019867904127595, -0.04230404733548086, -0.03767460440813914, -0.026385310348717772, 0.1842982774851794, 0.0023794419632511255, 0.011011780095980205, 0.16341897715807807, -0.1739243716662023, -0.19463974975729822, 0.35849806907131, 0.029113858611263494, -0.1729254349210615, 0.21780631909847048, -0.045214957313229005, -0.19943667947255234, 0.11054345714390701, 0.23464203481100077, 0.0686647248725202, -0.20059252150221776, 0.049825954834306414, -0.04795119790063101, 0.16370682841900022, 0.03689537132456106, 0.09575722254490718, 0.20259649871604135, 0.23972009977570186, 0.09505726543093325, 0.04635504784445602, -0.03270959905274411, -0.14968371727621077, -0.2012592433680985, -0.13483603014313478, -0.2130919027568257, 0.05222296838463674, -0.14915124773419816, -0.15312392475308045, 0.37731081890338597, 0.14827155465497932, 0.20619001158625416, 0.07647774100356491, 0.3182922567840309, -0.007299577040393038, 0.09946545313033177, 0.12975889272617955, 0.19861025987391143, 0.09004447881069616, 0.1531225053481229, -0.14110998635127453, 0.1633676947358705, -0.03189399021434935] |
709.0304 | Wind and boundary layers in Rayleigh-Benard convection. I: analysis and
modeling | The aim of this paper is to contribute to the understanding and to model the
processes controlling the amplitude of the wind of Rayleigh-Benard convection.
We analyze results from direct simulation of an L/H = 4 aspect-ratio domain
with periodic sidewalls at Ra = 1e5; 1e6; 1e7; 1e8 and at Pr = 1 by decomposing
independent realizations into wind and fluctuations. It is shown that deep
inside the thermal boundary layer, horizontal heat-fuxes exceed the average
vertical heat-fux by a factor 3 due to the interaction between the wind and the
mean temperature field. These large horizontal heat-fluxes are responsible for
spatial temperature differences that drive the wind by creating pressure
gradients. The wall fluxes and turbulent mixing in the bulk provide damping.
Using the DNS results to parameterise the unclosed terms, a simple model
capturing the essential processes governing the wind structure is derived. The
model consists of two coupled differential equations for wind velocity and
temperature amplitude. The equations indicate that the formation of a wind
structure is inevitable due to the positive feedback resulting from the
interaction between the wind and temperature field. Furthermore, the wind
velocity is largely determined by the turbulence in the bulk rather than by the
wall-shear stress. The model reproduces the Ra dependence of wind Reynolds
number and temperature amplitude.
| physics.flu-dyn | the aim of this paper is to contribute to the understanding and to model the processes controlling the amplitude of the wind of rayleighbenard convection we analyze results from direct simulation of an lh 4 aspectratio domain with periodic sidewalls at ra 1e5 1e6 1e7 1e8 and at pr 1 by decomposing independent realizations into wind and fluctuations it is shown that deep inside the thermal boundary layer horizontal heatfuxes exceed the average vertical heatfux by a factor 3 due to the interaction between the wind and the mean temperature field these large horizontal heatfluxes are responsible for spatial temperature differences that drive the wind by creating pressure gradients the wall fluxes and turbulent mixing in the bulk provide damping using the dns results to parameterise the unclosed terms a simple model capturing the essential processes governing the wind structure is derived the model consists of two coupled differential equations for wind velocity and temperature amplitude the equations indicate that the formation of a wind structure is inevitable due to the positive feedback resulting from the interaction between the wind and temperature field furthermore the wind velocity is largely determined by the turbulence in the bulk rather than by the wallshear stress the model reproduces the ra dependence of wind reynolds number and temperature amplitude | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'contribute', 'to', 'the', 'understanding', 'and', 'to', 'model', 'the', 'processes', 'controlling', 'the', 'amplitude', 'of', 'the', 'wind', 'of', 'rayleighbenard', 'convection', 'we', 'analyze', 'results', 'from', 'direct', 'simulation', 'of', 'an', 'lh', '4', 'aspectratio', 'domain', 'with', 'periodic', 'sidewalls', 'at', 'ra', '1e5', '1e6', '1e7', '1e8', 'and', 'at', 'pr', '1', 'by', 'decomposing', 'independent', 'realizations', 'into', 'wind', 'and', 'fluctuations', 'it', 'is', 'shown', 'that', 'deep', 'inside', 'the', 'thermal', 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709.0305 | A note on the uniqueness of global static decompositions | We discuss when static Killing vector fields are standard, that is, leading
to a global orthogonal splitting of the spacetime. We prove that such an
orthogonal splitting is unique whenever the natural space is compact. This is
carried out by proving that many notable spacelike submanifolds must be
contained in an orthogonal slice. Possible obstructions to the global splitting
are also considered.
| gr-qc | we discuss when static killing vector fields are standard that is leading to a global orthogonal splitting of the spacetime we prove that such an orthogonal splitting is unique whenever the natural space is compact this is carried out by proving that many notable spacelike submanifolds must be contained in an orthogonal slice possible obstructions to the global splitting are also considered | [['we', 'discuss', 'when', 'static', 'killing', 'vector', 'fields', 'are', 'standard', 'that', 'is', 'leading', 'to', 'a', 'global', 'orthogonal', 'splitting', 'of', 'the', 'spacetime', 'we', 'prove', 'that', 'such', 'an', 'orthogonal', 'splitting', 'is', 'unique', 'whenever', 'the', 'natural', 'space', 'is', 'compact', 'this', 'is', 'carried', 'out', 'by', 'proving', 'that', 'many', 'notable', 'spacelike', 'submanifolds', 'must', 'be', 'contained', 'in', 'an', 'orthogonal', 'slice', 'possible', 'obstructions', 'to', 'the', 'global', 'splitting', 'are', 'also', 'considered']] | [-0.21621475642126414, 0.12186530393204696, -0.06955385631731441, 0.10166925038473922, -0.12987526091596774, -0.10353609477169812, -0.06075664514285182, 0.41085736186153465, -0.2836592436783136, -0.15327757239461906, 0.12674804282752092, -0.2121257869406573, -0.15000809816222999, 0.1649103295283332, -0.09244315430612093, 0.005513230068308692, 0.05004162997788479, 0.08407365322683848, -0.0996027938437633, -0.2602232629489604, 0.4114828925099104, 0.011541281961986134, 0.2734859033577865, 0.034683557873171185, 0.1251700223844138, -0.008272701506352714, 0.0014286946520329484, 0.0421543463716291, -0.07296051012693375, 0.08159053944531948, 0.2672659223185732, 0.14965207968282723, 0.23028560952403612, -0.3608338390627215, -0.17320558063933747, 0.1795840331263119, 0.1863534248418986, 0.09722125540757852, -0.035084562875600835, -0.2773375397608165, 0.15719450424395262, -0.07097890672664489, -0.1713327608491865, -0.15385582334091585, -0.001280679299886669, -0.026376983421223778, -0.261290769901074, -0.0016249108110411813, 0.10623465138374857, 0.05741750369329126, -0.045853668063383306, -0.09392558891352476, -0.053197812514319535, 0.11142250168326896, 0.0945002242111631, 0.08856965515071587, 0.056465116780131094, -0.029339056856359444, -0.13731599392579688, 0.39421921974468616, -0.06733926586175878, -0.3006148977024901, 0.15835265452117328, -0.13964508312393822, -0.1420747741846548, 0.13719525659501913, 0.10315664773506503, 0.12841255925952516, -0.14645273101468187, 0.1386697823425845, -0.10393419695056734, 0.09184883060234209, 0.11054050363600254, 0.01670588030678881, 0.2016565987930423, 0.06090317027748472, 0.17875722788871387, 0.13068484330001556, -0.04623181907828116, -0.10483620430046182, -0.3612803979025733, -0.22461272361538104, -0.12532163692277767, 0.10173091614964389, -0.09452458985540416, -0.15406930599842342, 0.3737181363169164, 0.056708202802485994, 0.16227516150402446, -0.01289371374033151, 0.2892360872919521, 0.11332792328715685, 0.08083252518648101, 0.12814550737159386, 0.26738962996000004, 0.11547860470900853, -0.009935759578741366, -0.13473380817806407, -0.0654456989479161, 0.055760678985426505] |
709.0306 | Hydrodynamic behavior of one dimensional subdiffusive exclusion
processes with random conductances | Consider a system of particles performing nearest neighbor random walks on
the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a
given bond is direction--independent and the inverse of the jump rates are
i.i.d. random variables belonging to the domain of attraction of an
$\a$--stable law, $0<\a<1$. This exclusion process models conduction in
strongly disordered one-dimensional media. We prove that, when varying over the
disorder and for a suitable slowly varying function $L$, under the
super-diffusive time scaling $N^{1 + 1/\alpha}L(N)$, the density profile
evolves as the solution of the random equation $\partial_t \rho = \mf L_W
\rho$, where $\mf L_W$ is the generalized second-order differential operator
$\frac d{du} \frac d{dW}$ in which $W$ is a double sided $\a$--stable
subordinator. This result follows from a quenched hydrodynamic limit in the
case that the i.i.d. jump rates are replaced by a suitable array $\{\xi_{N,x} :
x\in\bb Z\}$ having same distribution and fulfilling an a.s. invariance
principle. We also prove a law of large numbers for a tagged particle.
| math.PR math-ph math.MP | consider a system of particles performing nearest neighbor random walks on the lattice zz under hardcore interaction the rate for a jump over a given bond is directionindependent and the inverse of the jump rates are iid random variables belonging to the domain of attraction of an astable law 0a1 this exclusion process models conduction in strongly disordered onedimensional media we prove that when varying over the disorder and for a suitable slowly varying function l under the superdiffusive time scaling n1 1alphaln the density profile evolves as the solution of the random equation partial_t rho mf l_w rho where mf l_w is the generalized secondorder differential operator frac ddu frac ddw in which w is a double sided astable subordinator this result follows from a quenched hydrodynamic limit in the case that the iid jump rates are replaced by a suitable array xi_nx xinbb z having same distribution and fulfilling an as invariance principle we also prove a law of large numbers for a tagged particle | [['consider', 'a', 'system', 'of', 'particles', 'performing', 'nearest', 'neighbor', 'random', 'walks', 'on', 'the', 'lattice', 'zz', 'under', 'hardcore', 'interaction', 'the', 'rate', 'for', 'a', 'jump', 'over', 'a', 'given', 'bond', 'is', 'directionindependent', 'and', 'the', 'inverse', 'of', 'the', 'jump', 'rates', 'are', 'iid', 'random', 'variables', 'belonging', 'to', 'the', 'domain', 'of', 'attraction', 'of', 'an', 'astable', 'law', '0a1', 'this', 'exclusion', 'process', 'models', 'conduction', 'in', 'strongly', 'disordered', 'onedimensional', 'media', 'we', 'prove', 'that', 'when', 'varying', 'over', 'the', 'disorder', 'and', 'for', 'a', 'suitable', 'slowly', 'varying', 'function', 'l', 'under', 'the', 'superdiffusive', 'time', 'scaling', 'n1', '1alphaln', 'the', 'density', 'profile', 'evolves', 'as', 'the', 'solution', 'of', 'the', 'random', 'equation', 'partial_t', 'rho', 'mf', 'l_w', 'rho', 'where', 'mf', 'l_w', 'is', 'the', 'generalized', 'secondorder', 'differential', 'operator', 'frac', 'ddu', 'frac', 'ddw', 'in', 'which', 'w', 'is', 'a', 'double', 'sided', 'astable', 'subordinator', 'this', 'result', 'follows', 'from', 'a', 'quenched', 'hydrodynamic', 'limit', 'in', 'the', 'case', 'that', 'the', 'iid', 'jump', 'rates', 'are', 'replaced', 'by', 'a', 'suitable', 'array', 'xi_nx', 'xinbb', 'z', 'having', 'same', 'distribution', 'and', 'fulfilling', 'an', 'as', 'invariance', 'principle', 'we', 'also', 'prove', 'a', 'law', 'of', 'large', 'numbers', 'for', 'a', 'tagged', 'particle']] | [-0.1481851818744184, 0.20030105147079888, -0.06895395872046853, 0.053088559601270034, -0.01883138702307805, -0.21220145608218977, 0.07027732449294091, 0.34844313509103547, -0.30456550780502034, -0.1640720773252613, 0.08610527881310412, -0.3045785185574304, -0.07991255713745997, 0.12370799697450044, 0.021742380161701543, 0.049713753442075556, 0.0024552695430451778, 0.05772647680572757, -0.05034102892244757, -0.22047769652662527, 0.29607392848389813, -0.016237663685077255, 0.2494852857525097, -0.022810414434189158, 0.11289747728307437, 0.05163714165157616, 0.016904187046570658, -0.008216667362941691, -0.1561066045668246, 0.005227656523901515, 0.15660002160095202, -0.013125531506020485, 0.27379843179795255, -0.34794684627842976, -0.19715595590490168, 0.14031645593449202, 0.16838676008827438, 0.039772442050090784, -0.029012239708142106, -0.29587504188331387, 0.07474355256077038, -0.17135941615561023, -0.18193123800532393, 0.016211357716578854, 0.07706605903122847, 0.10047161945414435, -0.37370694983216773, 0.1459005689374441, 0.11060072140620522, 0.02301677403880692, -0.03518908423948011, -0.11222325044431405, -0.015414903247047489, 0.06563194569078894, 0.03493804780311354, 0.04778710592867488, 0.1348284648947145, -0.13239546835979038, -0.07765800318973162, 0.3649049718614395, -0.10604854741860635, -0.24248257162412856, 0.14223220174217868, -0.18073832958925334, -0.13388224826591863, 0.13056431450915137, 0.14825573104729012, 0.12544262370496786, -0.16439798195669272, 0.1570952810824809, -0.054159448139238876, 0.14592296541111244, 0.06091997156305829, -0.02012010435176241, 0.12701382907675351, 0.14003726608395325, 0.12247318670823716, 0.1547784353776767, -0.0673540468234001, -0.14751567672256652, -0.3288887811458397, -0.1591147362292182, -0.22020716937372414, 0.1263730511077816, -0.1729102697271872, -0.1840936471253815, 0.31348880467845536, 0.07218057376321224, 0.2122525401156475, 0.11903321147944619, 0.17571537398801343, 0.20124600372112514, -0.0133509632915531, 0.07263068727887713, 0.11186247178858783, 0.1692599622921723, 0.11380056994569647, -0.18968618691688766, 0.06566266281666552, 0.08752861592447295] |
709.0307 | Nonlinear growth in modified gravity theories of dark energy | Theoretical differences in the growth of structure offer the possibility that
we might distinguish between modified gravity theories of dark energy and
\LambdaCDM. A significant impediment to applying current and prospective large
scale galaxy and weak lensing surveys to this problem is that, while the mildly
nonlinear regime is important, there is a lack of numerical simulations of
nonlinear growth in modified gravity theories. A major question exists as to
whether existing analytical fits, created using simulations of standard
gravity, can be confidently applied. In this paper we address this, presenting
results of N-body simulations of a variety of models where gravity is altered
including the Dvali, Gabadadze and Porrati model. We consider modifications
that alter the Poisson equation and also consider the presence of anisotropic
shear stress that alters how particles respond to the gravitational potential
gradient. We establish how well analytical fits of the matter power spectrum by
Peacock and Dodds and Smith et al. are able to predict the nonlinear growth
found in the simulations from z=50 up to today, and also consider implications
for the weak lensing convergence power spectrum. We find that the analytical
fits provide good agreement with the simulations, being within 1\sigma of the
simulation results for cases with and without anisotropic stress and for
scale-dependent and independent modifications of the Poisson equation. No
strong preference for either analytical fit is found.
| astro-ph gr-qc | theoretical differences in the growth of structure offer the possibility that we might distinguish between modified gravity theories of dark energy and lambdacdm a significant impediment to applying current and prospective large scale galaxy and weak lensing surveys to this problem is that while the mildly nonlinear regime is important there is a lack of numerical simulations of nonlinear growth in modified gravity theories a major question exists as to whether existing analytical fits created using simulations of standard gravity can be confidently applied in this paper we address this presenting results of nbody simulations of a variety of models where gravity is altered including the dvali gabadadze and porrati model we consider modifications that alter the poisson equation and also consider the presence of anisotropic shear stress that alters how particles respond to the gravitational potential gradient we establish how well analytical fits of the matter power spectrum by peacock and dodds and smith et al are able to predict the nonlinear growth found in the simulations from z50 up to today and also consider implications for the weak lensing convergence power spectrum we find that the analytical fits provide good agreement with the simulations being within 1sigma of the simulation results for cases with and without anisotropic stress and for scaledependent and independent modifications of the poisson equation no strong preference for either analytical fit is found | [['theoretical', 'differences', 'in', 'the', 'growth', 'of', 'structure', 'offer', 'the', 'possibility', 'that', 'we', 'might', 'distinguish', 'between', 'modified', 'gravity', 'theories', 'of', 'dark', 'energy', 'and', 'lambdacdm', 'a', 'significant', 'impediment', 'to', 'applying', 'current', 'and', 'prospective', 'large', 'scale', 'galaxy', 'and', 'weak', 'lensing', 'surveys', 'to', 'this', 'problem', 'is', 'that', 'while', 'the', 'mildly', 'nonlinear', 'regime', 'is', 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709.0308 | More Rings to rule them all : Fragmentation, 4D/5D and Split-Spectral
Flows | In this note we set-up an explicit 5D construction of AdS-fragmentation,
whereby a single black ring splits-up into a multi-black ring configuration.
Furthermore it is seen that these fragmented rings are equivalent to a direct
5D lift of 4D multi-center black holes. Along the way we also determine the
4D/5D transformations relevant for multi-center charges. It is seen that the
physical charges involved in black ring fragmentation are Page charges arising
due to 5D Chern-Simons terms. As an application of these methods, we reproduce
the total angular momentum of concentric black rings, originally due to
Gauntlett and Gutowski. Finally we provide a geometric interpretation of
fragmented black rings using the idea of split-spectral flows, which seeks to
study charge shifts of a given black ring due to fluxes generated in a
multi-ring background.
| hep-th | in this note we setup an explicit 5d construction of adsfragmentation whereby a single black ring splitsup into a multiblack ring configuration furthermore it is seen that these fragmented rings are equivalent to a direct 5d lift of 4d multicenter black holes along the way we also determine the 4d5d transformations relevant for multicenter charges it is seen that the physical charges involved in black ring fragmentation are page charges arising due to 5d chernsimons terms as an application of these methods we reproduce the total angular momentum of concentric black rings originally due to gauntlett and gutowski finally we provide a geometric interpretation of fragmented black rings using the idea of splitspectral flows which seeks to study charge shifts of a given black ring due to fluxes generated in a multiring background | [['in', 'this', 'note', 'we', 'setup', 'an', 'explicit', '5d', 'construction', 'of', 'adsfragmentation', 'whereby', 'a', 'single', 'black', 'ring', 'splitsup', 'into', 'a', 'multiblack', 'ring', 'configuration', 'furthermore', 'it', 'is', 'seen', 'that', 'these', 'fragmented', 'rings', 'are', 'equivalent', 'to', 'a', 'direct', '5d', 'lift', 'of', '4d', 'multicenter', 'black', 'holes', 'along', 'the', 'way', 'we', 'also', 'determine', 'the', '4d5d', 'transformations', 'relevant', 'for', 'multicenter', 'charges', 'it', 'is', 'seen', 'that', 'the', 'physical', 'charges', 'involved', 'in', 'black', 'ring', 'fragmentation', 'are', 'page', 'charges', 'arising', 'due', 'to', '5d', 'chernsimons', 'terms', 'as', 'an', 'application', 'of', 'these', 'methods', 'we', 'reproduce', 'the', 'total', 'angular', 'momentum', 'of', 'concentric', 'black', 'rings', 'originally', 'due', 'to', 'gauntlett', 'and', 'gutowski', 'finally', 'we', 'provide', 'a', 'geometric', 'interpretation', 'of', 'fragmented', 'black', 'rings', 'using', 'the', 'idea', 'of', 'splitspectral', 'flows', 'which', 'seeks', 'to', 'study', 'charge', 'shifts', 'of', 'a', 'given', 'black', 'ring', 'due', 'to', 'fluxes', 'generated', 'in', 'a', 'multiring', 'background']] | [-0.163651198930754, 0.061828957698423455, -0.05407372839350737, 0.11060021611246927, -0.04456634924559097, -0.10580247095323929, -0.03255432261729912, 0.3413166632264398, -0.20943335885935613, -0.26643859166723055, 0.06576273569442645, -0.2549164274188455, -0.13234537018389478, 0.15899607326607895, -0.10002605929323792, -0.03142097316511715, -0.014781265334716735, 0.005061280688151845, -0.10799941931716131, -0.21484455949082998, 0.3604489390432607, 0.08433184770597074, 0.23214237356402037, 0.019734303833994986, 0.07275370369800402, -0.007193351937600106, -0.008486856912611095, 0.0821815718832703, -0.16800376012948437, 0.14561796545598457, 0.2459033698693117, 0.08709567607529746, 0.13314836408494382, -0.45135797361153684, -0.139823154053777, 0.08097145773242903, 0.16626299864022445, 0.18427818558331693, -0.0941291770887586, -0.25020723273792794, 0.07829735804889493, -0.2590795636944871, -0.17155494337958346, -0.07793963463614403, 0.09046939884015637, -0.02293587100109128, -0.24392837954983684, 0.04390646388397893, 0.0800104793978727, -0.02663715844191895, -0.09654210858359819, -0.030022350422511914, -0.08391036125227012, 0.09312613015525213, 0.1166635989469213, 0.02878405570180532, 0.18152063357366519, -0.08043622092933941, -0.12987674868715401, 0.35714320443883424, -0.0054163953226294284, -0.18493569045832367, 0.186893327808619, -0.16364168649795288, -0.0954658918701226, 0.16544340109765415, 0.11932801374746131, 0.20639060071904128, -0.11484706734541718, 0.12033284169698191, -0.08076118783428128, 0.1332446997789737, 0.13421847448037325, 0.07979470828391669, 0.36345297475132154, 0.07173259135420995, 0.013690553844607798, 0.19238579806423825, -0.04611286830213916, -0.10711641833612709, -0.3122274500516933, -0.17737703728831714, -0.14041598685057335, 0.12927619535973622, -0.07266216005524354, -0.17571423568705966, 0.34667751921042234, 0.09153102151249741, 0.22822830174651482, -0.048494200095114876, 0.232735814165573, 0.05120517967094646, 0.09694909113850303, 0.02413659748258709, 0.21743567345018733, 0.1436798346818972, 0.10503898141550198, -0.21197322597513898, -0.09733570033314688, 0.1344519493450901] |
709.0309 | Somewhat stochastic matrices | The standard theorem for regular stochastic matrices is generalized to
matrices with no sign restriction on the entries. The condition that column
sums be equal to 1 is kept, but the regularity condition is replaced by a
condition on the $\ell_1$-distances between columns.
| math.RA | the standard theorem for regular stochastic matrices is generalized to matrices with no sign restriction on the entries the condition that column sums be equal to 1 is kept but the regularity condition is replaced by a condition on the ell_1distances between columns | [['the', 'standard', 'theorem', 'for', 'regular', 'stochastic', 'matrices', 'is', 'generalized', 'to', 'matrices', 'with', 'no', 'sign', 'restriction', 'on', 'the', 'entries', 'the', 'condition', 'that', 'column', 'sums', 'be', 'equal', 'to', '1', 'is', 'kept', 'but', 'the', 'regularity', 'condition', 'is', 'replaced', 'by', 'a', 'condition', 'on', 'the', 'ell_1distances', 'between', 'columns']] | [-0.13282527898194357, 0.1533716779778756, -0.01876869930752686, 0.06183730371551411, -0.06946308658059154, -0.17911129496947287, 0.038790237119731806, 0.33586196202252594, -0.28509504951181863, -0.2075608454068147, 0.19773776988898004, -0.2723580600826868, -0.0882614790240214, 0.12378798764465111, -0.10219799157320744, 0.013506823219358921, 0.0613144352322533, 0.08297518157355842, -0.14564996252080337, -0.27064392906391904, 0.35102581892473, 0.013038322631646657, 0.24173378988745667, 0.05768642304021688, 0.1241649187036923, -0.015314838715962, 0.01044193912474882, -0.011429613544827416, -0.08158303835582392, 0.054689730961053146, 0.16350957259003604, 0.12192305414715693, 0.25312327385126127, -0.42753144579806496, -0.10883831578705992, 0.2148300128811527, 0.03418261173023244, 0.005455931537740287, 0.010725757611605028, -0.24090430962054857, 0.18405937539812708, -0.09414270329510882, -0.17181039673631035, 0.012302096866603409, 0.016985164689166204, -0.00826030634787111, -0.3952497679385401, 0.10459294919634149, 0.1327351292240478, 0.05389605531291593, -0.013745677164046182, -0.16095649732631587, 0.011081552132964134, 0.036339986914147936, 0.06464315592200451, 0.003039162971877626, 0.0846148460571255, -0.06127263636638721, -0.019968822687154726, 0.3453804604221313, -0.04304268447560303, -0.3515048007525149, 0.11154730951031004, -0.14245289449380444, -0.09251542644397844, 0.12678577891728354, 0.059241284838034994, 0.06321582264666047, -0.10799919720739126, 0.12905354344929082, -0.15077013165379563, 0.201152420292298, 0.15729172729576626, -0.01718764764622652, 0.13465174119032564, 0.00786416128366476, 0.185128303311233, 0.1051269194660043, 0.019494543450751474, -0.09011102512124039, -0.30409718380265294, -0.11914953125025411, -0.2723221748712517, 0.09740302177323472, -0.14064873975612932, -0.19254800934521926, 0.3407581973200043, 0.08974413563763457, 0.22231798046933754, 0.11828901938029698, 0.27767231009368387, 0.19825011419708885, 0.10699597100860306, 0.06571485478031848, 0.12298821130146582, 0.2619896056851195, 0.054123104660816136, -0.10644768900237978, 0.1348120689259044, 0.19510760371174132] |
709.031 | On the uniformity of the Iitaka fibration | We study pluricanonical systems on smooth projective varieties of positive
Kodaira dimension, following the approach of Hacon-McKernan, Takayama and Tsuji
succesfully used in the case of varieties of general type. We prove a
uniformity result for the Iitaka fibration of smooth projective varieties of
positive Kodaira dimension, provided that the base of the Iitaka fibration is
not uniruled, the variation of the fibration is maximal, and the generic fiber
has a good minimal model.
| math.AG math.CV | we study pluricanonical systems on smooth projective varieties of positive kodaira dimension following the approach of haconmckernan takayama and tsuji succesfully used in the case of varieties of general type we prove a uniformity result for the iitaka fibration of smooth projective varieties of positive kodaira dimension provided that the base of the iitaka fibration is not uniruled the variation of the fibration is maximal and the generic fiber has a good minimal model | [['we', 'study', 'pluricanonical', 'systems', 'on', 'smooth', 'projective', 'varieties', 'of', 'positive', 'kodaira', 'dimension', 'following', 'the', 'approach', 'of', 'haconmckernan', 'takayama', 'and', 'tsuji', 'succesfully', 'used', 'in', 'the', 'case', 'of', 'varieties', 'of', 'general', 'type', 'we', 'prove', 'a', 'uniformity', 'result', 'for', 'the', 'iitaka', 'fibration', 'of', 'smooth', 'projective', 'varieties', 'of', 'positive', 'kodaira', 'dimension', 'provided', 'that', 'the', 'base', 'of', 'the', 'iitaka', 'fibration', 'is', 'not', 'uniruled', 'the', 'variation', 'of', 'the', 'fibration', 'is', 'maximal', 'and', 'the', 'generic', 'fiber', 'has', 'a', 'good', 'minimal', 'model']] | [-0.2126660204140117, -0.05677633557619678, -0.08885270036203233, 0.10145954076339163, -0.06400571448879468, -0.23501765840007244, -0.035546412376837956, 0.2752621085697634, -0.27297459279400976, -0.14459244604851748, 0.08442429055277309, -0.24172436564254599, -0.16882319642683943, 0.23666492773761116, -0.2439581933053764, 0.028941799597059552, 0.030564412990635313, 0.05521638704010764, -0.08517848341285277, -0.37250214576016405, 0.5096424901480409, -0.06389858410064433, 0.2633130011098409, 0.13855773462234316, 0.16115857950550178, 0.011268103199482366, 0.024386017526676122, -0.02024983670059088, -0.17749123426669078, 0.15243066258640406, 0.30068368726485484, 0.1127543751546811, 0.13625277058422766, -0.32631424094575484, -0.20341787736460165, 0.2787195219142312, 0.0977721304437649, 0.022706168527538713, 0.012421041854493622, -0.2108226639967462, 0.11368503767644635, -0.1387742731116108, -0.23935400470587853, -0.08035569094322823, 0.049308255277070646, 0.023956844535958324, -0.20227655455646282, -0.03638935773759275, 0.1600810954523449, 0.19026775743711638, -0.039298648732034744, -0.061659858377990186, -0.13338237980733048, 0.02732283664502304, 0.021649514468122476, 0.0757448227409072, 0.08595063337250738, -0.06981175672262907, -0.0738259643360318, 0.32162193137195866, -0.11306284415862851, -0.2381952708033291, 0.11745201312383083, -0.18532046731058005, -0.1444067311271824, 0.16941510022592707, 0.08652812298827779, 0.21070277776468443, 0.060100093899244394, 0.19287568550223383, -0.14641611796577234, 0.11695071161296722, 0.10125982592738159, -0.04611281775853697, 0.056296852624949975, 0.14951240471517038, 0.08843231188586435, 0.06283087889991097, -0.03392570890876389, 0.01568058944256926, -0.3920153576465374, -0.2558661705839473, -0.10753887855271632, 0.23104407613474806, -0.15457392177454862, -0.12592603512913794, 0.4152510272892746, -0.0080663466675056, 0.21658549284109394, 0.1265720613017628, 0.2503413255137668, -0.031978020318657964, 0.0226175309397985, -0.009597425500082003, 0.1877207096502487, 0.24767748646538806, -0.004381641751860042, -0.09721463812338943, -0.00901698790540969, 0.2341885391144535] |
709.0311 | Lower bounds for the volume of hyperbolic $n$-orbifolds | In this paper an explicit formula for a lower bound on the volume of a
hyperbolic orbifold, dependent on dimension and the maximal order of torsion in
the orbifolds' fundamental group, is constructed.
| math.GT math.DG | in this paper an explicit formula for a lower bound on the volume of a hyperbolic orbifold dependent on dimension and the maximal order of torsion in the orbifolds fundamental group is constructed | [['in', 'this', 'paper', 'an', 'explicit', 'formula', 'for', 'a', 'lower', 'bound', 'on', 'the', 'volume', 'of', 'a', 'hyperbolic', 'orbifold', 'dependent', 'on', 'dimension', 'and', 'the', 'maximal', 'order', 'of', 'torsion', 'in', 'the', 'orbifolds', 'fundamental', 'group', 'is', 'constructed']] | [-0.18401139997171634, 0.1175053657749562, -0.08766696164666703, 0.0887408610997778, -0.09480091420030504, -0.07337977367481499, 0.038088108134230206, 0.26851004068598605, -0.18268901019385367, -0.2542861953490611, 0.13825812699470783, -0.23463042505141912, -0.1516001567131642, 0.2485791352210623, -0.14716845598410477, -0.0068109399554404345, -0.06589034378218155, 0.14598732119934124, -0.11676814082558408, -0.27842971428551455, 0.4149734231107163, 0.009908354276734772, 0.2975863566001256, 0.1447911143980243, 0.151189418932931, -0.029498227603846426, -0.044911018064753574, -0.014097325052275803, -0.20763953859833154, 0.20278424270112405, 0.21786297022393256, -0.01995170206029081, 0.1337822483443288, -0.38696672107008373, -0.16209877443245865, 0.15087349619716406, 0.15872016836973754, 0.06716649110118549, -0.05448481142097576, -0.23287065660185885, 0.07206924224385258, -0.1741197309597875, -0.17963873888507034, -0.01350090243486744, 0.06345425275239078, -0.06116387798366221, -0.2155785463524587, 0.023204865886575797, 0.09321623971459991, 0.11210248804876977, -0.053558580125823166, -0.07251365584405986, -0.0167621091911287, 0.10871082128935748, 0.02216572271462417, 0.02231910994107073, 0.023029629197536094, -0.1093138276218352, -0.09825564316953674, 0.35296258131380787, -0.09399357713603725, -0.28287848835867463, 0.09635792432748007, -0.13750514678769943, -0.17610136391312786, 0.11918964492382877, 0.2105031106056589, 0.2027724538788651, -0.04262680359974955, 0.20205126564321813, -0.12302485331328529, 0.12937587914480406, 0.08863996195070671, -0.017996465335741188, 0.08585666882043536, 0.12488785027667429, 0.16074292533889864, 0.13366215078294222, 0.021122842928338232, -0.05563575368035923, -0.414123162401445, -0.2167294335244647, -0.20440865116137447, 0.13472237646805518, -0.175251135997259, -0.18988856340222288, 0.3831300288438797, -0.004901498556137085, 0.17391022452802368, 0.10253036253605828, 0.28040274274958804, 0.1271742628975489, 0.04772951860319485, 0.05054755448222612, 0.1430817712662798, 0.17225068570538002, -0.057482946579429234, -0.2135851414553172, -0.019843206966690945, 0.23791056899636082] |
709.0312 | Vortices in a mesoscopic superconducting circular sector | In the present paper we develop an algorithm to solve the time dependent
Ginzburg-Landau (TDGL) equations, by using the link variables technique, for
circular geometries. In addition, we evaluate the Helmholtz and Gibbs free
energy, the magnetization, and the number of vortices. This algorithm is
applied to a circular sector. We evaluate the superconduting-normal magnetic
field transition, the magnetization, and the superconducting density.
Furthermore, we study the nucleation of giant and multi-vortex states for that
geometry.
| cond-mat.supr-con | in the present paper we develop an algorithm to solve the time dependent ginzburglandau tdgl equations by using the link variables technique for circular geometries in addition we evaluate the helmholtz and gibbs free energy the magnetization and the number of vortices this algorithm is applied to a circular sector we evaluate the supercondutingnormal magnetic field transition the magnetization and the superconducting density furthermore we study the nucleation of giant and multivortex states for that geometry | [['in', 'the', 'present', 'paper', 'we', 'develop', 'an', 'algorithm', 'to', 'solve', 'the', 'time', 'dependent', 'ginzburglandau', 'tdgl', 'equations', 'by', 'using', 'the', 'link', 'variables', 'technique', 'for', 'circular', 'geometries', 'in', 'addition', 'we', 'evaluate', 'the', 'helmholtz', 'and', 'gibbs', 'free', 'energy', 'the', 'magnetization', 'and', 'the', 'number', 'of', 'vortices', 'this', 'algorithm', 'is', 'applied', 'to', 'a', 'circular', 'sector', 'we', 'evaluate', 'the', 'supercondutingnormal', 'magnetic', 'field', 'transition', 'the', 'magnetization', 'and', 'the', 'superconducting', 'density', 'furthermore', 'we', 'study', 'the', 'nucleation', 'of', 'giant', 'and', 'multivortex', 'states', 'for', 'that', 'geometry']] | [-0.15622201224168142, 0.1409412911738036, -0.09319841479261716, 0.05955245281259219, -0.07668840741117795, -0.0675337867376705, 0.05886597124083588, 0.3669800830880801, -0.24123557347804309, -0.31229407761245964, 0.06607248759828507, -0.22230172254145145, -0.14439212920765082, 0.16730783476804695, 0.016668513181308905, 0.05829394904275735, -0.005712068428595861, 0.02761601892610391, -0.06000056006324788, -0.2054686389863491, 0.35700962868829567, -0.0056181775406003, 0.30530430633574723, 0.05765243150914709, 0.097322593415156, 0.011354472652698556, 0.07438149540995558, 0.0695673585558931, -0.2222280996887518, 0.09250942825883006, 0.1944800669296334, 0.03216191989680131, 0.196549168775479, -0.4854921281586091, -0.18315400997797648, 0.08095634407984714, 0.14285987575848896, 0.16732792728890974, -0.03366851819058259, -0.24124419006208578, 0.046687461994588376, -0.13228205474714438, -0.16199203988192798, -0.1239517030492425, -0.02144254453945905, 0.019757623532786966, -0.26050097645570836, 0.0846607573206226, 0.015149472585568825, 0.035989018628994625, -0.11478124809761842, -0.0554299960937351, 0.006291144688924153, 0.038342400006173796, 0.05615428027386467, 0.028652658198649684, 0.1284852385893464, -0.11237971312191802, -0.13736577428877353, 0.32225014865398405, -0.07280223122487466, -0.18480541929602623, 0.11609712086617946, -0.14339715495084723, -0.10486067281415065, 0.12591222462554771, 0.18935101479291916, 0.16410450811187427, -0.15571373836447797, 0.0968300281992803, -0.01710308252678563, 0.13691839362184208, 0.06352066315710544, -0.04989850974952181, 0.17282191161066293, 0.1759748035420974, 0.06197148508702715, 0.1991447354480624, -0.17663668781518937, -0.10743096847087145, -0.2848956340054671, -0.2026958882684509, -0.21121772311627865, -0.0038587404896194737, -0.07082538011095797, -0.18991388532022635, 0.42499885459740955, 0.19503330001607538, 0.15196988796504834, 0.029564700176318487, 0.2866680964144568, 0.1564357863056163, 0.014385036196714888, 0.12567430714145303, 0.20294400385891398, 0.20611453306861222, 0.13782835522045692, -0.32453213446463147, -0.02725392614801725, 0.05518277520003418] |
709.0313 | Geodesic cusp excursions and metric diophantine approximation | We derive several results that describe the rate at which a generic geodesic
makes excursions into and out of a cusp on a finite area hyperbolic surface and
relate them to approximation with respect to the orbit of infinity for an
associated Fuchsian group. This provides proofs of some well known theorems
from metric diophantine approximation in the context of Fuchsian groups. It
also gives new results in the classical setting.
| math.GT math.DS math.NT | we derive several results that describe the rate at which a generic geodesic makes excursions into and out of a cusp on a finite area hyperbolic surface and relate them to approximation with respect to the orbit of infinity for an associated fuchsian group this provides proofs of some well known theorems from metric diophantine approximation in the context of fuchsian groups it also gives new results in the classical setting | [['we', 'derive', 'several', 'results', 'that', 'describe', 'the', 'rate', 'at', 'which', 'a', 'generic', 'geodesic', 'makes', 'excursions', 'into', 'and', 'out', 'of', 'a', 'cusp', 'on', 'a', 'finite', 'area', 'hyperbolic', 'surface', 'and', 'relate', 'them', 'to', 'approximation', 'with', 'respect', 'to', 'the', 'orbit', 'of', 'infinity', 'for', 'an', 'associated', 'fuchsian', 'group', 'this', 'provides', 'proofs', 'of', 'some', 'well', 'known', 'theorems', 'from', 'metric', 'diophantine', 'approximation', 'in', 'the', 'context', 'of', 'fuchsian', 'groups', 'it', 'also', 'gives', 'new', 'results', 'in', 'the', 'classical', 'setting']] | [-0.139375002158668, 0.045750269618969164, -0.15999659509594802, 0.09426239940082051, -0.11337085692605502, -0.11783334217362211, 0.06250162818797038, 0.30377601025442424, -0.28105900457299404, -0.22235610737206257, 0.11427186441142112, -0.2874007264388279, -0.16454270433529583, 0.3005290142306402, -0.12669889537066642, 0.030774645638507857, 0.02551647392101586, 0.11483303499473653, -0.10107150347903371, -0.23601138116923018, 0.36732548270636883, 0.0036220504626841613, 0.21237114008883357, 0.04894530068112301, 0.11788892701783046, 0.00410529103418681, -0.0611485585071881, 0.0047067248485457725, -0.17093211540046008, 0.11903366546185923, 0.2628812458051342, 0.05301960772821601, 0.22888922130912018, -0.39614565385846606, -0.17362821988866362, 0.07484168895933463, 0.13313450418989842, 0.09193581823279268, -0.05738984714229394, -0.28104478413317824, 0.08826719893431159, -0.1295230200606018, -0.2282752093636024, -0.0855216851431719, 0.00724302937316013, 0.02911640461009573, -0.1926362032306866, 0.013848490386292942, 0.12909283283212497, 0.034075461170623, -0.07927668595712789, -0.07767170036054204, 0.05232394588652106, 0.1109179418507806, 0.08568237275934555, 0.0315122386099587, 0.06214125550181513, -0.05661183698955451, -0.07592419399158426, 0.4002668642452065, -0.07473363968687997, -0.2217505521724709, 0.20194076077396075, -0.17317256175348877, -0.17766936470321576, 0.1466534169600673, 0.18881340418666812, 0.12134351097309673, -0.10163495414168902, 0.13616850385671928, -0.06847698270330127, 0.09084320460564234, 0.10225011990405619, -0.002851515844411833, 0.1417443078588432, 0.07865709057208937, 0.1349510063194263, 0.16943036530717787, -0.03388802150492294, -0.10579758132217636, -0.3527987605669129, -0.18310810750166714, -0.09659202384736232, 0.08517710823880535, -0.1363343276722114, -0.2033436424066116, 0.36602535337524517, 0.07914705078927538, 0.19905806171484816, 0.15219019290591052, 0.2300913332449928, 0.09588476935890175, 0.04448686822147017, 0.07735841431405763, 0.18715379712652272, 0.18602971202680763, -0.008075710490975581, -0.16709365223167122, -0.010608251416452334, 0.1528289230920794] |
709.0314 | The Electric Dipole Moment of the Nucleons in Holographic QCD | We introduce the strong CP-violation in the framework of AdS/QCD model and
calculate the electric dipole moments of nucleons as well as the CP-violating
pion-nucleon coupling. Our holographic estimate of the electric dipole moments
gives for the neutron d_n=1.08 X 10^{-16} theta (e cm), which is comparable
with previous estimates. We also predict that the electric dipole moment of the
proton should be precisely the minus of the neutron electric dipole moment,
thus leading to a new sum rule on the electric dipole moments of baryons.
| hep-ph hep-th nucl-th | we introduce the strong cpviolation in the framework of adsqcd model and calculate the electric dipole moments of nucleons as well as the cpviolating pionnucleon coupling our holographic estimate of the electric dipole moments gives for the neutron d_n108 x 1016 theta e cm which is comparable with previous estimates we also predict that the electric dipole moment of the proton should be precisely the minus of the neutron electric dipole moment thus leading to a new sum rule on the electric dipole moments of baryons | [['we', 'introduce', 'the', 'strong', 'cpviolation', 'in', 'the', 'framework', 'of', 'adsqcd', 'model', 'and', 'calculate', 'the', 'electric', 'dipole', 'moments', 'of', 'nucleons', 'as', 'well', 'as', 'the', 'cpviolating', 'pionnucleon', 'coupling', 'our', 'holographic', 'estimate', 'of', 'the', 'electric', 'dipole', 'moments', 'gives', 'for', 'the', 'neutron', 'd_n108', 'x', '1016', 'theta', 'e', 'cm', 'which', 'is', 'comparable', 'with', 'previous', 'estimates', 'we', 'also', 'predict', 'that', 'the', 'electric', 'dipole', 'moment', 'of', 'the', 'proton', 'should', 'be', 'precisely', 'the', 'minus', 'of', 'the', 'neutron', 'electric', 'dipole', 'moment', 'thus', 'leading', 'to', 'a', 'new', 'sum', 'rule', 'on', 'the', 'electric', 'dipole', 'moments', 'of', 'baryons']] | [-0.10484442640753354, 0.21216064775910448, -0.03147892767344328, 0.11505830495152622, -0.08791530970484018, -0.034406890683834825, 0.052107649544418294, 0.3114773355205269, -0.18019868527703425, -0.3076406211975743, -0.06121962715405971, -0.30606850037241684, -0.011886677790350993, 0.10753555071868878, 0.09091617709354442, -0.011020839104757589, -0.04885473588262411, 0.11493199934415957, -0.07509096350027795, -0.14406738910988412, 0.2827743436483776, 0.031941143702715634, 0.2671782553415088, 0.15567086275447817, 0.06809952016372015, 0.0018089645432637017, 0.05924251002314336, -0.020833746891687897, -0.08278559451171211, 0.14198462498538633, 0.14198001230902532, 0.029610189732492846, 0.09310336538097437, -0.4466635879238739, -0.09601426305358901, 0.12257935807985418, 0.10518312561599648, 0.11236109077410006, -0.015284569483414731, -0.29475890002487337, 0.05130729837452664, -0.20717552545042162, -0.1726461865583106, -0.1848950177540674, 0.03358505346045336, 0.11165300235152245, -0.41858797480407006, 0.07972428690443528, 0.041911400286206865, 0.0026488143019378187, -0.09315114030888413, -0.25098573553567644, 0.0387716210584211, 0.040130103023394065, 0.174204917828662, 0.145137887217981, 0.1649468765429714, -0.13000377363949905, -0.10312645342748832, 0.3881376523305388, -0.10400838019216761, -0.15141606964170934, -0.000832038526149357, -0.2662234574337216, -0.09701402491944677, 0.11910914913477266, 0.18406308604513896, 0.16017678625374923, -0.15291740760645445, 0.08699741256080896, -0.037235015096238756, 0.145069470256567, 0.06762683115461293, -0.004734618704327766, 0.32284522564972146, 0.1307603821172105, 0.06340819931424715, 0.10342249763882994, -0.1613128807477872, -0.021981598331373843, -0.37910075506524127, -0.10408454522052232, -0.17612812196397606, 0.1005239564268028, -0.12567073133044793, -0.14713258770677973, 0.37456461085444864, 0.12729251330499264, 0.15653526088058511, 0.005249747495605227, 0.35071826713050114, 0.14713499167153393, 0.061022548185771006, 0.00929579698918935, 0.3387222258538446, 0.2333674325443366, 0.10482686146929422, -0.3269953147617771, 0.04270498801899307, 0.09095546834663872] |
709.0315 | Suppression of Meszaros' Effect in coupled DE | A phaenomenological DM-DE coupling could indicate their common origin.
Various constraint however exist to such coupling; here we outline that it can
suppress Meszaros' effect, yielding transfered spectra with a softer bending
above k_{hor,eq}. It could be therefore hard to reconcile these models with
both CMB and deep sample data, using a constant spectral index.
| astro-ph | a phaenomenological dmde coupling could indicate their common origin various constraint however exist to such coupling here we outline that it can suppress meszaros effect yielding transfered spectra with a softer bending above k_horeq it could be therefore hard to reconcile these models with both cmb and deep sample data using a constant spectral index | [['a', 'phaenomenological', 'dmde', 'coupling', 'could', 'indicate', 'their', 'common', 'origin', 'various', 'constraint', 'however', 'exist', 'to', 'such', 'coupling', 'here', 'we', 'outline', 'that', 'it', 'can', 'suppress', 'meszaros', 'effect', 'yielding', 'transfered', 'spectra', 'with', 'a', 'softer', 'bending', 'above', 'k_horeq', 'it', 'could', 'be', 'therefore', 'hard', 'to', 'reconcile', 'these', 'models', 'with', 'both', 'cmb', 'and', 'deep', 'sample', 'data', 'using', 'a', 'constant', 'spectral', 'index']] | [-0.08097953700794364, 0.18036952642021034, -0.1185843716111948, 0.1267003538614174, -0.15943033821037356, -0.2003187640429527, 0.020798490611168573, 0.44744628597542924, -0.30007464378931614, -0.3806265528612542, 0.10273339041456017, -0.28367017550429086, -0.10361149042563618, 0.1788424032757867, -0.0011833912148228232, -0.007552761338510603, 0.03509803108853411, -0.055637298257283446, -0.0377155248260231, -0.16364978891709503, 0.27824256801099145, 0.11267526728432749, 0.25567393011923106, 0.11016555638316106, 0.014437267901639472, -0.0646941892205263, 0.002234340390577069, 0.06559673027258436, -0.08879150558806152, 0.07146254519246659, 0.2391332553879864, 0.0921506844988128, 0.18911750959056728, -0.4060920528744354, -0.27156058661991134, 0.15691722207263392, 0.14813924818475432, 0.114363606166938, -0.04989495775047338, -0.20501312929785476, 0.07650021381922206, -0.16065566364746048, -0.11712369679490912, -0.1332963700494114, -0.039864097550546505, -0.020462082788998366, -0.2566661732622756, 0.08434188007629688, 0.033874849393471795, -0.049822404418351514, -0.0729432889031914, -0.12708864120309646, -0.04110995566973217, 0.06974774742288128, 0.10350644699174841, 0.03733750138396643, 0.10941883708121923, -0.10059316526606397, -0.061797709801708754, 0.3650857315943489, -0.11235650600689762, -0.13298928245620908, 0.2090738279358396, -0.1186748426890809, -0.15420474130484574, 0.12686959291228428, 0.14520717616948597, 0.053604370967116, -0.11757088809291709, 0.02630685863660578, 0.027776655301732837, 0.21814787292958432, 0.05860667481122293, 0.051888010877553584, 0.29079900685486926, 0.11360100714735827, 0.006322240720520604, 0.10103493180995772, -0.11760844239297341, -0.011735394175322551, -0.249122578088405, -0.05900858651477633, -0.16593931165506254, 0.10928419518794091, -0.10199036544934574, -0.14895576703414884, 0.3185854761000231, 0.1766200306702335, 0.23645647914799037, 0.03613299239461996, 0.2784371253032729, 0.11941114361485783, 0.09093492164469834, 0.05363514007262464, 0.3544106523875358, 0.12606629845246953, 0.06263029214680055, -0.20801020330059747, 0.051235101686544576, -0.08230904657569416] |
709.0316 | Evolutionary Prisoner's Dilemma game on the Newman-Watts networks | Maintenance of cooperation was studied for a two-strategy evolutionary
Prisoner's Dilemma game where the players are located on a one-dimensional
chain and their payoff comes from games with the nearest and next-nearest
neighbor interactions. The applied host geometry makes possible to study the
impacts of two conflicting topological features. The evolutionary rule involves
some noise affecting the strategy adoptions between the interacting players.
Using Monte Carlo simulations and the extended versions of dynamical mean-field
theory we determined the phase diagram as a function of noise level and a
payoff parameter. The peculiar feature of the diagram is changed significantly
when the connectivity structure is extended by extra links as suggested by
Newman and Watts.
| physics.soc-ph | maintenance of cooperation was studied for a twostrategy evolutionary prisoners dilemma game where the players are located on a onedimensional chain and their payoff comes from games with the nearest and nextnearest neighbor interactions the applied host geometry makes possible to study the impacts of two conflicting topological features the evolutionary rule involves some noise affecting the strategy adoptions between the interacting players using monte carlo simulations and the extended versions of dynamical meanfield theory we determined the phase diagram as a function of noise level and a payoff parameter the peculiar feature of the diagram is changed significantly when the connectivity structure is extended by extra links as suggested by newman and watts | [['maintenance', 'of', 'cooperation', 'was', 'studied', 'for', 'a', 'twostrategy', 'evolutionary', 'prisoners', 'dilemma', 'game', 'where', 'the', 'players', 'are', 'located', 'on', 'a', 'onedimensional', 'chain', 'and', 'their', 'payoff', 'comes', 'from', 'games', 'with', 'the', 'nearest', 'and', 'nextnearest', 'neighbor', 'interactions', 'the', 'applied', 'host', 'geometry', 'makes', 'possible', 'to', 'study', 'the', 'impacts', 'of', 'two', 'conflicting', 'topological', 'features', 'the', 'evolutionary', 'rule', 'involves', 'some', 'noise', 'affecting', 'the', 'strategy', 'adoptions', 'between', 'the', 'interacting', 'players', 'using', 'monte', 'carlo', 'simulations', 'and', 'the', 'extended', 'versions', 'of', 'dynamical', 'meanfield', 'theory', 'we', 'determined', 'the', 'phase', 'diagram', 'as', 'a', 'function', 'of', 'noise', 'level', 'and', 'a', 'payoff', 'parameter', 'the', 'peculiar', 'feature', 'of', 'the', 'diagram', 'is', 'changed', 'significantly', 'when', 'the', 'connectivity', 'structure', 'is', 'extended', 'by', 'extra', 'links', 'as', 'suggested', 'by', 'newman', 'and', 'watts']] | [-0.15874758409948922, 0.11731364587403573, -0.1006108372315985, 0.14262001210488706, -0.054298913110407035, -0.19809706880519035, 0.14969489009736367, 0.38960988786104217, -0.26906983046220584, -0.31595652246553646, 0.0648780340500372, -0.27301948046997976, -0.19609138826643557, 0.03896508993286835, -0.015964324586093426, -0.04794419563085396, 0.046852266890295015, 0.011469699556759576, -0.007252740853960348, -0.2707783816721323, 0.3415158730237173, 0.07779718244758745, 0.21645924904824873, -0.017594023809866292, 0.07656890482707113, 0.05948945053183196, -0.04092502681407751, 0.06444181137505853, -0.13589022712569618, 0.04911732064200598, 0.21023562583835437, 0.092458447874442, 0.30728218887663006, -0.39113253371365236, -0.19584085205324778, 0.11102921374370917, 0.14024281252753562, 0.09490514214951218, -0.0081816003377051, -0.32383089934132603, 0.009527388890682343, -0.19507733565804206, -0.11800274874181732, -0.007123226231462404, -0.013227138980781953, 0.06272823693385969, -0.28105294100558303, 0.02530548202074051, 0.008980336949063809, 0.07650883068542993, -0.02061221904015136, -0.1425032829089711, -0.0798927361366192, 0.1682220621960209, 0.020791506457036327, -0.004739687713465588, 0.14168563106080942, -0.1767329524450919, -0.19884803635885187, 0.3860279597738235, -0.027431793787655534, -0.14430664542918462, 0.20654688756341083, -0.08638840002873749, -0.11116363798480547, 0.11053869577958003, 0.09325082226362276, 0.08913184871504966, -0.14889494273232054, 0.08881575961979188, -0.005040416375554183, 0.1649112740361536, 0.014742423187973992, 0.003129088932550267, 0.18028122099247157, 0.20878672308754176, 0.0829055005635478, 0.14936224211889662, -0.06559623024843045, -0.2707561019306651, -0.19488013038624144, -0.09059716366729781, -0.1826407111396915, 0.033861721398129145, -0.12730356562295989, -0.12593994358873092, 0.38349617153340787, 0.12980684057249578, 0.14362556353342115, 0.043263746088517734, 0.2527071550537489, 0.07619020390414159, 0.038753334208179196, 0.0203139639741398, 0.22566260285639783, 0.15191199786332027, 0.08518007301455854, -0.2668814083444886, 0.144431470186662, 0.08865830640659847] |
709.0317 | Microstrain and defects in polycrystalline Zn_{1-x}Mg_{x}O (0 <= x <=
0.15) studied by X-ray diffraction, and optical and Raman spectroscopies | The properties of polycrystalline wurtzite Zn_{1-x}Mg_{x}O (0 <= x <= 0.15)
have been studied, by powder X-ray diffraction, including an analysis of the
X-ray line-broadening, and by luminescence, absorption, and Raman
spectroscopies. We have previously established from synchrotron X-ray
difffraction that with increasing Mg-concentration, the c-axis compresses, and
the off-center cation displacement within each tetrahedral (Zn,Mg)O_{4} unit
decreases. Here we perform a size-strain line-broadening analysis of the XRD
peaks, which reveals that the Mg-substitution reduces the coherent crystallite
size and also develops the lattice microstrain. The optical properties of the
samples have been characterized by diffuse-reflectance spectroscopy and
fluorimetry. Both the optical band gap and the band-edge emission energies
gradually increase with the Mg-concentration in Zn_{1-x}Mg_{x}O. The
Mg-substituted samples show broader band tails near the absorption edge, due to
the increase of crystal imperfections. The peak broadening of the E_{2}{high}
Raman mode, upon the Mg-substitution, is also ascribed to the phonon shortening
lifetime mechanism via crystal defects.
| cond-mat.mtrl-sci | the properties of polycrystalline wurtzite zn_1xmg_xo 0 x 015 have been studied by powder xray diffraction including an analysis of the xray linebroadening and by luminescence absorption and raman spectroscopies we have previously established from synchrotron xray difffraction that with increasing mgconcentration the caxis compresses and the offcenter cation displacement within each tetrahedral znmgo_4 unit decreases here we perform a sizestrain linebroadening analysis of the xrd peaks which reveals that the mgsubstitution reduces the coherent crystallite size and also develops the lattice microstrain the optical properties of the samples have been characterized by diffusereflectance spectroscopy and fluorimetry both the optical band gap and the bandedge emission energies gradually increase with the mgconcentration in zn_1xmg_xo the mgsubstituted samples show broader band tails near the absorption edge due to the increase of crystal imperfections the peak broadening of the e_2high raman mode upon the mgsubstitution is also ascribed to the phonon shortening lifetime mechanism via crystal defects | [['the', 'properties', 'of', 'polycrystalline', 'wurtzite', 'zn_1xmg_xo', '0', 'x', '015', 'have', 'been', 'studied', 'by', 'powder', 'xray', 'diffraction', 'including', 'an', 'analysis', 'of', 'the', 'xray', 'linebroadening', 'and', 'by', 'luminescence', 'absorption', 'and', 'raman', 'spectroscopies', 'we', 'have', 'previously', 'established', 'from', 'synchrotron', 'xray', 'difffraction', 'that', 'with', 'increasing', 'mgconcentration', 'the', 'caxis', 'compresses', 'and', 'the', 'offcenter', 'cation', 'displacement', 'within', 'each', 'tetrahedral', 'znmgo_4', 'unit', 'decreases', 'here', 'we', 'perform', 'a', 'sizestrain', 'linebroadening', 'analysis', 'of', 'the', 'xrd', 'peaks', 'which', 'reveals', 'that', 'the', 'mgsubstitution', 'reduces', 'the', 'coherent', 'crystallite', 'size', 'and', 'also', 'develops', 'the', 'lattice', 'microstrain', 'the', 'optical', 'properties', 'of', 'the', 'samples', 'have', 'been', 'characterized', 'by', 'diffusereflectance', 'spectroscopy', 'and', 'fluorimetry', 'both', 'the', 'optical', 'band', 'gap', 'and', 'the', 'bandedge', 'emission', 'energies', 'gradually', 'increase', 'with', 'the', 'mgconcentration', 'in', 'zn_1xmg_xo', 'the', 'mgsubstituted', 'samples', 'show', 'broader', 'band', 'tails', 'near', 'the', 'absorption', 'edge', 'due', 'to', 'the', 'increase', 'of', 'crystal', 'imperfections', 'the', 'peak', 'broadening', 'of', 'the', 'e_2high', 'raman', 'mode', 'upon', 'the', 'mgsubstitution', 'is', 'also', 'ascribed', 'to', 'the', 'phonon', 'shortening', 'lifetime', 'mechanism', 'via', 'crystal', 'defects']] | [-0.047119829924080245, 0.19092441044027558, -0.06084672932443368, -0.021107503516301765, -0.021469459255176165, -0.0818130198112201, 0.11435503552376362, 0.5036339399208423, -0.2937074327543631, -0.27313562291262505, 0.037247615007107104, -0.3625749078053398, -0.06658509575451414, 0.15801422635638188, 0.04255551592364502, 0.02648951950068047, -0.009461743098233832, -0.08409268179984421, -0.07032736551434714, -0.17947210242011946, 0.25680257155255853, 0.1066725475802308, 0.3595030520991961, 0.0919508492450553, 0.007269849224636952, 0.045967337440978105, 0.028764655297229283, 0.0010832580999110121, -0.14557807079445473, 0.06967476899672274, 0.21718015298754179, -0.06329574803726709, 0.2011917719845565, -0.40303373597023795, -0.25631327067460663, 0.0004849884735078228, 0.17233911498792653, 0.08860117187127582, -0.06805713784953794, -0.24084365857150533, 0.05922932647719827, -0.08774936673085705, -0.12829287623555785, -0.037472886194912146, -0.007195775812098972, 0.031487292272742, -0.17723782285477738, 0.11606175054243266, 0.044454952282989464, 0.11756847576447288, -0.15828547767382495, -0.12350824937465138, -0.10506471310944936, 0.01205346221737817, 0.05942778528642644, 0.022494315689264917, 0.18710433363242923, -0.057814540107081945, -0.11908931114717203, 0.3711916090568946, -0.0311133362286325, 0.021119980179533666, 0.11703727360130572, -0.20502612153448316, -0.07645971542477709, 0.2752426006976946, 0.0716164711265679, 0.08705700602268382, -0.08783255084766214, 0.05122821035772739, 0.0015415903370903463, 0.24202255349048749, 0.1179592187855342, 0.12698619773803077, 0.19022885149623564, 0.16076273182454537, -0.01558155055335235, 0.18661558973368536, -0.23251295259117852, 0.051205307219912406, -0.16842334695337785, -0.13309650373689474, -0.1822667736566046, 0.04361789844150902, -0.0949618240755422, -0.1801502492041628, 0.37663354085846235, 0.05456856851383638, 0.1934218401608824, -0.03980176954064518, 0.23779958429537257, 0.13267065751537624, 0.12346723866744005, 0.009643985459036162, 0.27834742120308736, 0.18651000066774384, 0.12460070199073375, -0.34356596705592457, 0.09842443305580896, -0.04717467244252005] |
709.0318 | Spin-Filtering Multiferroic-Semiconductor Heterojunctions | We report on the structural and electronic properties of the interface
between the multiferoic oxide YMnO$_3$ and wide band-gap semiconductor GaN
studied with the Hubbard-corrected local spin density approximation (LSDA+U) to
density-functional theory (DFT). We find that the band offsets at the interface
between antiferromagnetically ordered YMnO$_3$ and GaN are different for
spin-up and spin-down states. This behavior is due to the spin splitting of the
valence band induced by the interface. The energy barrier depends on the
relative orientation of the electric polarization with respect to the
polarization direction of the GaN substrate suggesting an opportunity to create
magnetic tunnel junctions in this materials system.
| cond-mat.mtrl-sci cond-mat.str-el | we report on the structural and electronic properties of the interface between the multiferoic oxide ymno_3 and wide bandgap semiconductor gan studied with the hubbardcorrected local spin density approximation lsdau to densityfunctional theory dft we find that the band offsets at the interface between antiferromagnetically ordered ymno_3 and gan are different for spinup and spindown states this behavior is due to the spin splitting of the valence band induced by the interface the energy barrier depends on the relative orientation of the electric polarization with respect to the polarization direction of the gan substrate suggesting an opportunity to create magnetic tunnel junctions in this materials system | [['we', 'report', 'on', 'the', 'structural', 'and', 'electronic', 'properties', 'of', 'the', 'interface', 'between', 'the', 'multiferoic', 'oxide', 'ymno_3', 'and', 'wide', 'bandgap', 'semiconductor', 'gan', 'studied', 'with', 'the', 'hubbardcorrected', 'local', 'spin', 'density', 'approximation', 'lsdau', 'to', 'densityfunctional', 'theory', 'dft', 'we', 'find', 'that', 'the', 'band', 'offsets', 'at', 'the', 'interface', 'between', 'antiferromagnetically', 'ordered', 'ymno_3', 'and', 'gan', 'are', 'different', 'for', 'spinup', 'and', 'spindown', 'states', 'this', 'behavior', 'is', 'due', 'to', 'the', 'spin', 'splitting', 'of', 'the', 'valence', 'band', 'induced', 'by', 'the', 'interface', 'the', 'energy', 'barrier', 'depends', 'on', 'the', 'relative', 'orientation', 'of', 'the', 'electric', 'polarization', 'with', 'respect', 'to', 'the', 'polarization', 'direction', 'of', 'the', 'gan', 'substrate', 'suggesting', 'an', 'opportunity', 'to', 'create', 'magnetic', 'tunnel', 'junctions', 'in', 'this', 'materials', 'system']] | [-0.15135634199583103, 0.15398109135387045, -0.02453280835235048, 0.015845098332058462, -0.01743333437258289, -0.09766960495062882, 0.07707920842027913, 0.4834886601815621, -0.3106692750627796, -0.3560712520903464, -0.06643166608243649, -0.3128494715406781, -0.11011103609842914, 0.12737522962547485, 0.060573489325387135, -0.00398577218431802, -0.03582962841859886, -0.08795894166853811, -0.12946152328513563, -0.16256636403877997, 0.2871840797320363, 0.03856675864773847, 0.3422541418778045, 0.13379001880419397, 0.04225054598590802, 0.01587942077201747, 0.15761737400843273, -0.00011021595980439867, -0.14863156626878274, 0.14556057310186415, 0.24132266857084775, -0.12624835567105383, 0.19266941336294016, -0.4942437063547827, -0.1594045461022428, -0.051609665248543025, 0.0374680195136794, 0.1498888138725999, -0.07805695536524235, -0.28702856313792013, 0.07064356431365013, -0.12900904332331958, -0.07361671578227764, -0.0502826445159458, -0.025703390876186036, 0.029339787605706425, -0.20403369452272144, 0.079573896403114, 0.04103874690044904, 0.06282690057885788, -0.13412167861880292, -0.13982453782089233, -0.13768120745995216, 0.05383883354564508, 0.07654601814713152, 0.07810437221501378, 0.1703703689788069, -0.09103264630317599, -0.10579824319907598, 0.3451398078573956, -0.06001671606874359, -0.10098064458746064, 0.17748193149676636, -0.19659016710772578, -0.02929890054677214, 0.12772627506139023, 0.13667329847812654, 0.0961500708590306, -0.11776688581421262, 0.11357329170042206, 0.051756544217711226, 0.18847774866790998, 0.035015596937210784, 0.08245158608381947, 0.25987779313166226, 0.16258434667002541, 0.09345810410256188, 0.1364440273848318, -0.16404869124470722, -0.05796989767945238, -0.193207469334205, -0.18549379588415224, -0.22803331951477698, 0.05964165889613685, -0.06520397730027547, -0.23747195671534255, 0.4608406624357615, 0.13086408542114356, 0.14165749519708612, -0.05084650690356891, 0.22917113098249373, 0.10903269197082235, 0.05132415326578277, 0.040764246246821824, 0.27427535718750384, 0.19995705558297536, 0.09559441466948816, -0.3184298657102599, 0.12257441842839831, -0.025762546953878234] |
709.0319 | On the Bohr radius relationship to spin-orbit interaction, spin
magnitude, and Thomas precession | The dynamics of the spin-orbit interaction in atomic hydrogen are studied in
a classical electrodynamics-like setting. A Rutherfordian atomic model is used
assuming a circular electron orbit, without the quantum principle as imposed
arbitrarily in the Bohr model, but with an ad hoc incorporation in the electron
of intrinsic spin and associated magnetic dipole moment. Analyzing the motions
of the electron spin and orbital angular momenta, it is found that in the
presence of Thomas precession, the total angular momentum averaged over the
orbit is not generally a constant of the motion. It is noted this differs from
the finding of Thomas in a similar assessment of 1927, and the reason for this
difference is provided. It is found that although the total orbit-averaged
angular momentum is not a constant of the motion, it precesses around a fixed
axis similarly to the precession of the total angular momentum vector seen in
spin-orbit coupling in quantum theory. The magnitude of the angular velocity of
the total orbit-averaged angular momentum is seen to vanish only when the spin
and orbital angular momenta are antiparallel and their mutual precession
frequencies equate. It is then found, there is a unique radius where the mutual
precession frequencies equate. Assuming the electron magnetic moment is the
Bohr magneton, and an electron g-factor of two, this radius corresponds to
where the orbital angular momentum is the reduced Planck's constant. The orbit
radius for stationary total angular momentum for the circular orbit model with
nonzero orbital angular momentum is thus the ground-state radius of the Bohr
model.
| physics.gen-ph | the dynamics of the spinorbit interaction in atomic hydrogen are studied in a classical electrodynamicslike setting a rutherfordian atomic model is used assuming a circular electron orbit without the quantum principle as imposed arbitrarily in the bohr model but with an ad hoc incorporation in the electron of intrinsic spin and associated magnetic dipole moment analyzing the motions of the electron spin and orbital angular momenta it is found that in the presence of thomas precession the total angular momentum averaged over the orbit is not generally a constant of the motion it is noted this differs from the finding of thomas in a similar assessment of 1927 and the reason for this difference is provided it is found that although the total orbitaveraged angular momentum is not a constant of the motion it precesses around a fixed axis similarly to the precession of the total angular momentum vector seen in spinorbit coupling in quantum theory the magnitude of the angular velocity of the total orbitaveraged angular momentum is seen to vanish only when the spin and orbital angular momenta are antiparallel and their mutual precession frequencies equate it is then found there is a unique radius where the mutual precession frequencies equate assuming the electron magnetic moment is the bohr magneton and an electron gfactor of two this radius corresponds to where the orbital angular momentum is the reduced plancks constant the orbit radius for stationary total angular momentum for the circular orbit model with nonzero orbital angular momentum is thus the groundstate radius of the bohr model | [['the', 'dynamics', 'of', 'the', 'spinorbit', 'interaction', 'in', 'atomic', 'hydrogen', 'are', 'studied', 'in', 'a', 'classical', 'electrodynamicslike', 'setting', 'a', 'rutherfordian', 'atomic', 'model', 'is', 'used', 'assuming', 'a', 'circular', 'electron', 'orbit', 'without', 'the', 'quantum', 'principle', 'as', 'imposed', 'arbitrarily', 'in', 'the', 'bohr', 'model', 'but', 'with', 'an', 'ad', 'hoc', 'incorporation', 'in', 'the', 'electron', 'of', 'intrinsic', 'spin', 'and', 'associated', 'magnetic', 'dipole', 'moment', 'analyzing', 'the', 'motions', 'of', 'the', 'electron', 'spin', 'and', 'orbital', 'angular', 'momenta', 'it', 'is', 'found', 'that', 'in', 'the', 'presence', 'of', 'thomas', 'precession', 'the', 'total', 'angular', 'momentum', 'averaged', 'over', 'the', 'orbit', 'is', 'not', 'generally', 'a', 'constant', 'of', 'the', 'motion', 'it', 'is', 'noted', 'this', 'differs', 'from', 'the', 'finding', 'of', 'thomas', 'in', 'a', 'similar', 'assessment', 'of', '1927', 'and', 'the', 'reason', 'for', 'this', 'difference', 'is', 'provided', 'it', 'is', 'found', 'that', 'although', 'the', 'total', 'orbitaveraged', 'angular', 'momentum', 'is', 'not', 'a', 'constant', 'of', 'the', 'motion', 'it', 'precesses', 'around', 'a', 'fixed', 'axis', 'similarly', 'to', 'the', 'precession', 'of', 'the', 'total', 'angular', 'momentum', 'vector', 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'of', 'the', 'bohr', 'model']] | [-0.20899305811988966, 0.18820113288739185, -0.05653317381015432, 0.0713669909010297, -0.06766725436363963, -0.07653262671391237, -0.009680676884615816, 0.35121536807153475, -0.254251499703799, -0.3213917521672896, -0.0025366427291253517, -0.24976815709097724, -0.006978586834315428, 0.1967327944709691, -0.005030673698672539, 0.009146415184574484, 0.045154134029928406, 0.07669718838967238, -0.09530992211107209, -0.17195499266664488, 0.29235614220075423, 0.09599465144352429, 0.19715849238770367, 0.05609572601073389, 0.1418653028122066, 0.06077212800456624, 0.02059300896188005, 0.02787977073283627, -0.12384747096333075, 0.07185558619608211, 0.16405492624859525, -0.001250493751498164, 0.2066077065775497, -0.35859154998270454, -0.13604072621635774, 0.04488071171994455, 0.11827296867662251, 0.14622753558513718, 0.015659191810565815, -0.22436211528510203, -0.007483344280490732, -0.2043598894952119, -0.20401580558531712, -0.04673191057137623, 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709.032 | Thermal Giant Graviton with Non-commutative Dipole Field | Using the type II near-extremal 3D-branes solution we apply the T-duality and
smeared twist to construct the supergravity backgrounds which dual to the 4D
finite temperature non-commutative dipole field theories. We first consider the
zero-temperature system in which, depending on the property of dipole vectors
it may be N=2, N=1 or N=0 theory. We investigate the rotating D3-brane
configurations moving on the spactimes and show that, for the cases of N=2 and
N =1 the rotating D3-brane could be blowed up to the stable spherical
configuration which is called as giant graviton and has a less energy than the
point-like graviton. The giant graviton configuration is stable only if its
angular momentum was less than a critical value of $P_c$ which is an increasing
function of the dipole strength. For the case of non-supersymmetric theory,
however, the spherical configuration has a larger energy than the point-like
graviton. We also find that the dipole field always render the dual giant
graviton to be more stable than the point-like graviton. The relation of dual
giant graviton energy with its angular momentum, which in the AdS/CFT
correspondence being the operator anomalous dimension is obtained. We
furthermore show that the temperature does not change the property of the giant
graviton, while it will render the dual giant graviton to be unstable.
| hep-th | using the type ii nearextremal 3dbranes solution we apply the tduality and smeared twist to construct the supergravity backgrounds which dual to the 4d finite temperature noncommutative dipole field theories we first consider the zerotemperature system in which depending on the property of dipole vectors it may be n2 n1 or n0 theory we investigate the rotating d3brane configurations moving on the spactimes and show that for the cases of n2 and n 1 the rotating d3brane could be blowed up to the stable spherical configuration which is called as giant graviton and has a less energy than the pointlike graviton the giant graviton configuration is stable only if its angular momentum was less than a critical value of p_c which is an increasing function of the dipole strength for the case of nonsupersymmetric theory however the spherical configuration has a larger energy than the pointlike graviton we also find that the dipole field always render the dual giant graviton to be more stable than the pointlike graviton the relation of dual giant graviton energy with its angular momentum which in the adscft correspondence being the operator anomalous dimension is obtained we furthermore show that the temperature does not change the property of the giant graviton while it will render the dual giant graviton to be unstable | [['using', 'the', 'type', 'ii', 'nearextremal', '3dbranes', 'solution', 'we', 'apply', 'the', 'tduality', 'and', 'smeared', 'twist', 'to', 'construct', 'the', 'supergravity', 'backgrounds', 'which', 'dual', 'to', 'the', '4d', 'finite', 'temperature', 'noncommutative', 'dipole', 'field', 'theories', 'we', 'first', 'consider', 'the', 'zerotemperature', 'system', 'in', 'which', 'depending', 'on', 'the', 'property', 'of', 'dipole', 'vectors', 'it', 'may', 'be', 'n2', 'n1', 'or', 'n0', 'theory', 'we', 'investigate', 'the', 'rotating', 'd3brane', 'configurations', 'moving', 'on', 'the', 'spactimes', 'and', 'show', 'that', 'for', 'the', 'cases', 'of', 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709.0321 | A first--order irreversible thermodynamic approach to a simple energy
converter | Several authors have shown that dissipative thermal cycle models based on
Finite-Time Thermodynamics exhibit loop-shaped curves of power output versus
efficiency, such as it occurs with actual dissipative thermal engines. Within
the context of First-Order Irreversible Thermodynamics (FOIT), in this work we
show that for an energy converter consisting of two coupled fluxes it is also
possible to find loop-shaped curves of both power output and the so-called
ecological function against efficiency. In a previous work Stucki [J.W. Stucki,
Eur. J. Biochem. vol. 109, 269 (1980)] used a FOIT-approach to describe the
modes of thermodynamic performance of oxidative phosphorylation involved in
ATP-synthesis within mithochondrias. In that work the author did not use the
mentioned loop-shaped curves and he proposed that oxidative phosphorylation
operates in a steady state simultaneously at minimum entropy production and
maximum efficiency, by means of a conductance matching condition between
extreme states of zero and infinite conductances respectively. In the present
work we show that all Stucki's results about the oxidative phosphorylation
energetics can be obtained without the so-called conductance matching
condition. On the other hand, we also show that the minimum entropy production
state implies both null power output and efficiency and therefore this state is
not fulfilled by the oxidative phosphorylation performance. Our results suggest
that actual efficiency values of oxidative phosphorylation performance are
better described by a mode of operation consisting in the simultaneous
maximization of the so-called ecological function and the efficiency.
| cond-mat.stat-mech | several authors have shown that dissipative thermal cycle models based on finitetime thermodynamics exhibit loopshaped curves of power output versus efficiency such as it occurs with actual dissipative thermal engines within the context of firstorder irreversible thermodynamics foit in this work we show that for an energy converter consisting of two coupled fluxes it is also possible to find loopshaped curves of both power output and the socalled ecological function against efficiency in a previous work stucki jw stucki eur j biochem vol 109 269 1980 used a foitapproach to describe the modes of thermodynamic performance of oxidative phosphorylation involved in atpsynthesis within mithochondrias in that work the author did not use the mentioned loopshaped curves and he proposed that oxidative phosphorylation operates in a steady state simultaneously at minimum entropy production and maximum efficiency by means of a conductance matching condition between extreme states of zero and infinite conductances respectively in the present work we show that all stuckis results about the oxidative phosphorylation energetics can be obtained without the socalled conductance matching condition on the other hand we also show that the minimum entropy production state implies both null power output and efficiency and therefore this state is not fulfilled by the oxidative phosphorylation performance our results suggest that actual efficiency values of oxidative phosphorylation performance are better described by a mode of operation consisting in the simultaneous maximization of the socalled ecological function and the efficiency | [['several', 'authors', 'have', 'shown', 'that', 'dissipative', 'thermal', 'cycle', 'models', 'based', 'on', 'finitetime', 'thermodynamics', 'exhibit', 'loopshaped', 'curves', 'of', 'power', 'output', 'versus', 'efficiency', 'such', 'as', 'it', 'occurs', 'with', 'actual', 'dissipative', 'thermal', 'engines', 'within', 'the', 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709.0322 | Promote cooperation by localised small-world communication | The emergence and maintenance of cooperation within sizable groups of
unrelated humans offer many challenges for our understanding. We propose that
the humans' capacity of communication, such as how many and how far away the
fellows can build up mutual communications, may affect the evolution of
cooperation. We study this issue by means of the public goods game (PGG) with a
two-layered network of contacts. Players obtain payoffs from five-person public
goods interactions on a square lattice (the interaction layer). Also, they
update strategies after communicating with neighbours in learning layer, where
two players build up mutual communication with a power law probability
depending on their spatial distance. Our simulation results indicate that the
evolution of cooperation is indeed sensitive to how players choose others to
communicate with, including the amount as well as the locations. The tendency
of localised communication is proved to be a new mechanism to promote
cooperation.
| physics.soc-ph physics.gen-ph | the emergence and maintenance of cooperation within sizable groups of unrelated humans offer many challenges for our understanding we propose that the humans capacity of communication such as how many and how far away the fellows can build up mutual communications may affect the evolution of cooperation we study this issue by means of the public goods game pgg with a twolayered network of contacts players obtain payoffs from fiveperson public goods interactions on a square lattice the interaction layer also they update strategies after communicating with neighbours in learning layer where two players build up mutual communication with a power law probability depending on their spatial distance our simulation results indicate that the evolution of cooperation is indeed sensitive to how players choose others to communicate with including the amount as well as the locations the tendency of localised communication is proved to be a new mechanism to promote cooperation | [['the', 'emergence', 'and', 'maintenance', 'of', 'cooperation', 'within', 'sizable', 'groups', 'of', 'unrelated', 'humans', 'offer', 'many', 'challenges', 'for', 'our', 'understanding', 'we', 'propose', 'that', 'the', 'humans', 'capacity', 'of', 'communication', 'such', 'as', 'how', 'many', 'and', 'how', 'far', 'away', 'the', 'fellows', 'can', 'build', 'up', 'mutual', 'communications', 'may', 'affect', 'the', 'evolution', 'of', 'cooperation', 'we', 'study', 'this', 'issue', 'by', 'means', 'of', 'the', 'public', 'goods', 'game', 'pgg', 'with', 'a', 'twolayered', 'network', 'of', 'contacts', 'players', 'obtain', 'payoffs', 'from', 'fiveperson', 'public', 'goods', 'interactions', 'on', 'a', 'square', 'lattice', 'the', 'interaction', 'layer', 'also', 'they', 'update', 'strategies', 'after', 'communicating', 'with', 'neighbours', 'in', 'learning', 'layer', 'where', 'two', 'players', 'build', 'up', 'mutual', 'communication', 'with', 'a', 'power', 'law', 'probability', 'depending', 'on', 'their', 'spatial', 'distance', 'our', 'simulation', 'results', 'indicate', 'that', 'the', 'evolution', 'of', 'cooperation', 'is', 'indeed', 'sensitive', 'to', 'how', 'players', 'choose', 'others', 'to', 'communicate', 'with', 'including', 'the', 'amount', 'as', 'well', 'as', 'the', 'locations', 'the', 'tendency', 'of', 'localised', 'communication', 'is', 'proved', 'to', 'be', 'a', 'new', 'mechanism', 'to', 'promote', 'cooperation']] | [-0.15059091718809214, 0.1076651371549815, -0.08205695646853807, 0.061148353908987096, -0.09301376503581803, -0.1922536742935578, 0.1421060485749816, 0.395561233907938, -0.30704935027907293, -0.33433779848739503, 0.0712927936630634, -0.278246334111318, -0.1889441921080773, 0.09716110784560442, -0.0859701975233232, -0.05662421018932946, 0.05176886495125169, 0.044850191309427224, 0.06613359659725877, -0.3207586159440689, 0.3295890693149219, 0.07408782450016588, 0.27819509213169413, 0.05737881964848687, 0.07047526962434252, 0.015093267755582928, -0.02222840457223356, -0.0015016477066092193, -0.11262987314151057, 0.10884447538138678, 0.301787650930152, 0.1544912460190244, 0.36641873414317766, -0.45628601712485156, -0.20523876070976257, 0.11350551589702566, 0.16480655499423544, 0.09021727045997978, -0.035747994306342054, -0.28912213133027154, 0.04038895604821543, -0.20634768423934777, -0.0926344886055449, -0.0633007410975794, -0.03329302950141331, 0.06956532566342503, -0.2769258583841535, 0.013356542607264904, 0.011587832272828866, 0.0637629781352977, -0.014956004937800268, -0.08928870849466572, -0.047899403129704296, 0.25314144753851, 0.052821654078240195, 0.007739792852662504, 0.14289476972228538, -0.1813626194978133, -0.16768442688509821, 0.3751642718414466, -0.004668662988891204, -0.168599065374583, 0.22374255500423412, -0.09483007834525779, -0.09538260249421, 0.0630084127560258, 0.23147875264286996, 0.052418733718271444, -0.14771562842652203, -0.005064453210216016, -0.042951056510210035, 0.17946002583950757, 0.047159722355815274, 0.08162278245824078, 0.1999649798559646, 0.18676059742768605, 0.12962083768332378, 0.08362299797513212, -0.02542743249020229, -0.18852919262833892, -0.2174796964228153, -0.12157819057814777, -0.16849983491934836, 0.05722666822684308, -0.09817400428757538, -0.0796370839434773, 0.3410176102568706, 0.17309691128088162, 0.15232360281050206, 0.09856234648070919, 0.2894887901159624, 0.010882305821869522, 0.09960467638913542, 0.09749649060734858, 0.2304112072956438, 0.05731577367677043, 0.1376946002493302, -0.19833811865372505, 0.13521761824842543, -0.01963438279228285] |
709.0323 | Analysis of the Phase Structure of Thermal QED/QCD through the HTL
Improved Ladder Dyson-Schwinger Equation --On the Gauge Dependence of the
Solution-- | We solved with a numerical procedure the HTL improved ladder DS equation for
the retarded fermion self-energy function $\Sigma_R$ to study the spontaneous
generation of fermion mass in thermal QCD/QED, and studied the gauge-dependence
of the solution within a general covariant gauge where the gauge parameter
$\xi$ is any constant number.
With the numerical solutions thus obtained, we found the followings; i) The
fermion wave function renormalization function $A(P)$ always deviates largely
from unity even at the momentum where the mass is defined, thus the
corresponding solutions explicitly contradict with the Ward-Takahashi identity.
ii) As a result, the obtained solutions strongly depend on the choice of gauge
parameters: the critical temperatures and the critical coupling constants
significantly change gauge by gauge. In all gauges we studied in the present
analysis, we could not find any solution, having a possibility to be consistent
with the Ward-Takahashi identity. Thus we are forced to investigate the
procedure to find a gauge which enables us to get a solution being consistent
with the Ward-Takahashi identity, otherwise we can not obtain any physically
sensible conclusions through the analysis of the point-vertex ladder DS
equation no matter how the gauge propagator gets improved.
| hep-ph | we solved with a numerical procedure the htl improved ladder ds equation for the retarded fermion selfenergy function sigma_r to study the spontaneous generation of fermion mass in thermal qcdqed and studied the gaugedependence of the solution within a general covariant gauge where the gauge parameter xi is any constant number with the numerical solutions thus obtained we found the followings i the fermion wave function renormalization function ap always deviates largely from unity even at the momentum where the mass is defined thus the corresponding solutions explicitly contradict with the wardtakahashi identity ii as a result the obtained solutions strongly depend on the choice of gauge parameters the critical temperatures and the critical coupling constants significantly change gauge by gauge in all gauges we studied in the present analysis we could not find any solution having a possibility to be consistent with the wardtakahashi identity thus we are forced to investigate the procedure to find a gauge which enables us to get a solution being consistent with the wardtakahashi identity otherwise we can not obtain any physically sensible conclusions through the analysis of the pointvertex ladder ds equation no matter how the gauge propagator gets improved | [['we', 'solved', 'with', 'a', 'numerical', 'procedure', 'the', 'htl', 'improved', 'ladder', 'ds', 'equation', 'for', 'the', 'retarded', 'fermion', 'selfenergy', 'function', 'sigma_r', 'to', 'study', 'the', 'spontaneous', 'generation', 'of', 'fermion', 'mass', 'in', 'thermal', 'qcdqed', 'and', 'studied', 'the', 'gaugedependence', 'of', 'the', 'solution', 'within', 'a', 'general', 'covariant', 'gauge', 'where', 'the', 'gauge', 'parameter', 'xi', 'is', 'any', 'constant', 'number', 'with', 'the', 'numerical', 'solutions', 'thus', 'obtained', 'we', 'found', 'the', 'followings', 'i', 'the', 'fermion', 'wave', 'function', 'renormalization', 'function', 'ap', 'always', 'deviates', 'largely', 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709.0324 | Final Fate of Subcritical Evolutions of Boson Stars | We present results from a study of Type I critical phenomena in the dynamics
of general relativistic boson stars in spherical symmetry. The boson stars are
modelled with a minimally coupled, massive complex field (with no explicit
self-interaction), and are driven to the threshold of black hole formation via
their gravitational interaction with an initially imploding pulse of massless
scalar field. Using a distinct coordinate system, we reproduce previous results
[1,2], including the scaling of the lifetime of near-critical configurations,
as well as the fact that such configurations are well described as perturbed,
one-mode-unstable boson stars. In addition, we make a detailed study of the
long-time evolution of marginally subcritical configurations. Contrary to
previous claims [1,2], we find that the end state in such cases does not
involve dispersal of the bulk of the boson star field to large radial
distances, but instead can be generically described by a stable boson star
executing large amplitude oscillations. Furthermore we show that these
oscillations can be largely identified as excitations of the fundamental mode
associated with the final boson star, as computed in perturbation theory.
| gr-qc | we present results from a study of type i critical phenomena in the dynamics of general relativistic boson stars in spherical symmetry the boson stars are modelled with a minimally coupled massive complex field with no explicit selfinteraction and are driven to the threshold of black hole formation via their gravitational interaction with an initially imploding pulse of massless scalar field using a distinct coordinate system we reproduce previous results 12 including the scaling of the lifetime of nearcritical configurations as well as the fact that such configurations are well described as perturbed onemodeunstable boson stars in addition we make a detailed study of the longtime evolution of marginally subcritical configurations contrary to previous claims 12 we find that the end state in such cases does not involve dispersal of the bulk of the boson star field to large radial distances but instead can be generically described by a stable boson star executing large amplitude oscillations furthermore we show that these oscillations can be largely identified as excitations of the fundamental mode associated with the final boson star as computed in perturbation theory | [['we', 'present', 'results', 'from', 'a', 'study', 'of', 'type', 'i', 'critical', 'phenomena', 'in', 'the', 'dynamics', 'of', 'general', 'relativistic', 'boson', 'stars', 'in', 'spherical', 'symmetry', 'the', 'boson', 'stars', 'are', 'modelled', 'with', 'a', 'minimally', 'coupled', 'massive', 'complex', 'field', 'with', 'no', 'explicit', 'selfinteraction', 'and', 'are', 'driven', 'to', 'the', 'threshold', 'of', 'black', 'hole', 'formation', 'via', 'their', 'gravitational', 'interaction', 'with', 'an', 'initially', 'imploding', 'pulse', 'of', 'massless', 'scalar', 'field', 'using', 'a', 'distinct', 'coordinate', 'system', 'we', 'reproduce', 'previous', 'results', '12', 'including', 'the', 'scaling', 'of', 'the', 'lifetime', 'of', 'nearcritical', 'configurations', 'as', 'well', 'as', 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709.0325 | Ore extensions of principally quasi-Baer rings | Let $R$ be a ring and $(\sigma,\delta)$ a quasi-derivation of $R$. In this
paper, we show that if $R$ is an $(\sigma,\delta)$-skew Armendariz ring and
satisfies the condition $(\mathcal{C_{\sigma}})$, then $R$ is right p.q.-Baer
if and only if the Ore extension $R[x;\sigma,\delta]$ is right p.q.-Baer. As a
consequence we obtain a generalization of \cite{hong/2000}.
| math.RA | let r be a ring and sigmadelta a quasiderivation of r in this paper we show that if r is an sigmadeltaskew armendariz ring and satisfies the condition mathcalc_sigma then r is right pqbaer if and only if the ore extension rxsigmadelta is right pqbaer as a consequence we obtain a generalization of citehong2000 | [['let', 'r', 'be', 'a', 'ring', 'and', 'sigmadelta', 'a', 'quasiderivation', 'of', 'r', 'in', 'this', 'paper', 'we', 'show', 'that', 'if', 'r', 'is', 'an', 'sigmadeltaskew', 'armendariz', 'ring', 'and', 'satisfies', 'the', 'condition', 'mathcalc_sigma', 'then', 'r', 'is', 'right', 'pqbaer', 'if', 'and', 'only', 'if', 'the', 'ore', 'extension', 'rxsigmadelta', 'is', 'right', 'pqbaer', 'as', 'a', 'consequence', 'we', 'obtain', 'a', 'generalization', 'of', 'citehong2000']] | [-0.1847759678889558, 0.03881714979591911, -0.11726177975816547, -0.005529234339570943, -0.07801942049332385, -0.22595514392234245, -0.07647102178329215, 0.3415508027548708, -0.37324280502661217, -0.10071249202526403, 0.16960860341391965, -0.26198241100558695, -0.12015232739021194, 0.15005386980219726, -0.14912198745329283, -0.15376654030966028, 0.019082984684984077, 0.14838896189236417, -0.04325010150864299, -0.242229185321913, 0.2703479232336834, 0.030470558248882024, 0.09153355508691298, 0.09833840734132056, 0.10600289355311103, 0.031066281545274663, 0.04869494787505213, 0.03885586912532882, -0.20921130221458437, 0.027584241160613327, 0.1990632907188726, 0.1337487581273857, 0.2583029033168096, -0.3159765386251065, -0.0258327957488737, 0.21715663774114735, 0.17682471700926433, -0.047213662070889936, -0.024389600091315102, -0.2213829489741123, 0.2507026065492405, -0.2594042085814026, -0.11305029231633218, -0.016881704339230398, 0.16766284912262322, 0.007581684861402467, -0.42298670338009886, 0.018709124083507736, 0.15181276472812555, 0.08932459647992388, 0.009596020185371052, -0.03039484117882994, -0.03901932310128479, -0.016704774567119357, -0.059451332891289635, 0.0666897852096777, 0.05213504750281572, -0.0497431785948926, -0.02049968909155929, 0.38855738656700783, -0.11121868085608168, -0.19645272241026726, 0.07854187479330543, -0.1824340770583389, -0.080321673936439, -0.023502439972153812, -0.0035520841209393627, 0.1761223071448083, -0.056070205825820285, 0.26808800497026414, -0.21604867996472232, 0.15841449505895516, 0.10184956306837639, 0.03324151785060201, 0.13728368844626085, 0.1037514272304076, 0.1408143510211716, 0.1350040251964633, -0.028868195679882226, 0.11497342417824943, -0.37157367450132406, -0.21685734412299013, -0.16400782707946832, 0.1449734320043683, -0.050544459878231994, -0.12161624331449, 0.3821548900549423, 0.11379058038780712, 0.19307436430299618, 0.08706118333381864, 0.22539959145042132, 0.08422280803876314, 0.02873221853361377, 0.11762359637310202, 0.08283913926274147, 0.20026129470118936, -0.006323877737400526, -0.0940370785516142, -0.005409256238841785, 0.14286195970017393] |
709.0326 | Monomial bases for the centres of the group algebra and Iwahori--Hecke
algebra of S_4 | G. E. Murphy showed in 1983 that the centre of every symmetric group algebra
has an integral basis consisting of a specific set of monomial symmetric
polynomials in the Jucys--Murphy elements. While we have shown in earlier work
that the centre of the group algebra of S_3 has exactly three additional such
bases, we show in this paper that the centre of the group algebra of S_4 has
infinitely many bases consisting of monomial symmetric polynomials in
Jucys--Murphy elements, which we characterize completely. The proof of this
result involves establishing closed forms for coefficients of class sums in the
monomial symmetric polynomials in Jucys--Murphy elements, and solving several
resulting exponential Diophantine equations with the aid of a computer.
Our initial motivation was in finding integral bases for the centre of the
Iwahori--Hecke algebra, and we address this question also, by finding several
integral bases of monomial symmetric polynomials in Jucys--Murphy elements for
the centre of the Iwahori--Hecke algebra of S_4.
| math.GR math.CO math.RT | g e murphy showed in 1983 that the centre of every symmetric group algebra has an integral basis consisting of a specific set of monomial symmetric polynomials in the jucysmurphy elements while we have shown in earlier work that the centre of the group algebra of s_3 has exactly three additional such bases we show in this paper that the centre of the group algebra of s_4 has infinitely many bases consisting of monomial symmetric polynomials in jucysmurphy elements which we characterize completely the proof of this result involves establishing closed forms for coefficients of class sums in the monomial symmetric polynomials in jucysmurphy elements and solving several resulting exponential diophantine equations with the aid of a computer our initial motivation was in finding integral bases for the centre of the iwahorihecke algebra and we address this question also by finding several integral bases of monomial symmetric polynomials in jucysmurphy elements for the centre of the iwahorihecke algebra of s_4 | [['g', 'e', 'murphy', 'showed', 'in', '1983', 'that', 'the', 'centre', 'of', 'every', 'symmetric', 'group', 'algebra', 'has', 'an', 'integral', 'basis', 'consisting', 'of', 'a', 'specific', 'set', 'of', 'monomial', 'symmetric', 'polynomials', 'in', 'the', 'jucysmurphy', 'elements', 'while', 'we', 'have', 'shown', 'in', 'earlier', 'work', 'that', 'the', 'centre', 'of', 'the', 'group', 'algebra', 'of', 's_3', 'has', 'exactly', 'three', 'additional', 'such', 'bases', 'we', 'show', 'in', 'this', 'paper', 'that', 'the', 'centre', 'of', 'the', 'group', 'algebra', 'of', 's_4', 'has', 'infinitely', 'many', 'bases', 'consisting', 'of', 'monomial', 'symmetric', 'polynomials', 'in', 'jucysmurphy', 'elements', 'which', 'we', 'characterize', 'completely', 'the', 'proof', 'of', 'this', 'result', 'involves', 'establishing', 'closed', 'forms', 'for', 'coefficients', 'of', 'class', 'sums', 'in', 'the', 'monomial', 'symmetric', 'polynomials', 'in', 'jucysmurphy', 'elements', 'and', 'solving', 'several', 'resulting', 'exponential', 'diophantine', 'equations', 'with', 'the', 'aid', 'of', 'a', 'computer', 'our', 'initial', 'motivation', 'was', 'in', 'finding', 'integral', 'bases', 'for', 'the', 'centre', 'of', 'the', 'iwahorihecke', 'algebra', 'and', 'we', 'address', 'this', 'question', 'also', 'by', 'finding', 'several', 'integral', 'bases', 'of', 'monomial', 'symmetric', 'polynomials', 'in', 'jucysmurphy', 'elements', 'for', 'the', 'centre', 'of', 'the', 'iwahorihecke', 'algebra', 'of', 's_4']] | [-0.17961573703141767, 0.05661997661018177, -0.07086401949636638, -0.022740813227574107, -0.07982244025333785, -0.06709809902822599, -0.04131124256746262, 0.33149070969666355, -0.33380117813067045, -0.1967563049052842, 0.10754526798045845, -0.2430537084932439, -0.15795536379155237, 0.17755962269147857, -0.08376329028105829, 0.0008302513248054311, 0.05255694064544514, 0.09340906185097993, -0.12925584321346834, -0.29493218577554214, 0.3910702382330783, 0.002494855332770385, 0.21361960689828266, -0.04568275646306574, 0.10543572914029938, 0.011776690447004513, -0.06233266332128551, -0.06709806742728688, -0.09933278628082007, 0.1675726240297081, 0.32223909822059793, 0.12895771686162333, 0.22759055421920493, -0.3784296074320082, -0.07626148688723333, 0.20130589374166447, 0.17085535146761685, 0.0563885529183608, -0.0906152326031588, -0.2229272495227633, 0.06796080562926363, -0.2507352705462836, -0.20491909389384091, -0.03738521528430283, 0.10924612917006016, 0.029606739262453628, -0.2924413071537856, 0.007882239568971272, 0.10830170381814241, 0.1661099903023569, -0.06265791803016327, -0.17750759926857426, -0.021661046860390342, 0.05466561115463264, -0.037661124755686615, -0.009559954036376439, 0.05684325665897631, -0.06876463313237764, -0.16584820114658214, 0.37910155908757587, -0.004411077858094359, -0.19584560263028833, 0.08375380266807042, -0.21208741987647955, -0.22231965644168666, 0.0877117085561622, 0.06141212426591665, 0.11361839745077304, -0.10233347727917134, 0.22115310086883255, -0.19107735877169035, 0.04581192742552957, 0.13449565319460816, -0.014640525638242252, 0.15383927748771384, 0.03182726167724468, 0.029617221637090553, 0.15431869764288422, 0.07602273019729182, -0.04845274068939034, -0.31982140155159866, -0.19413175316876732, -0.14719798915321008, 0.07745707939466229, -0.12467122144862515, -0.17628962562939704, 0.45198567730840294, 0.08218842255309937, 0.130367792933248, 0.04197702771125478, 0.16276718408335, 0.07634854994548732, 0.09320637281634844, 0.060903474257202106, 0.1408888940612087, 0.23945327699329938, -0.011234608619997744, -0.17930147191145807, -0.011599642180954106, 0.2224178997101262] |
709.0327 | The Faint Stellar Object SDSS J1257+3419 is a Dark Matter Dominated
System | A recent study has revealed SDSS J1257+3419 is either a faint and small dwarf
galaxy or a faint and widely extended globular cluster. In this Letter, the
author suggests this stellar system is a dwarf spheroidal (dSph). Adopting an
observational relation between binding energy and mass of old stellar systems,
we derive a relation between mass and size of dSphs by assuming that they are
dark matter dominated and virialized objects. Letting half-light radius
represent size of SDSS J1257+3419, we find that its mass is $\sim 7\times 10^6$
solar mass. This indicates mass-to-light ratio ($M/L$) of SDSS J1257+3419 is
about 1000 in the solar unit. This large $M/L$ is expected from a Mateo plot of
dSphs. Thus, we insist SDSS J1257+3419 is a dSph.
| astro-ph gr-qc hep-th nucl-th | a recent study has revealed sdss j12573419 is either a faint and small dwarf galaxy or a faint and widely extended globular cluster in this letter the author suggests this stellar system is a dwarf spheroidal dsph adopting an observational relation between binding energy and mass of old stellar systems we derive a relation between mass and size of dsphs by assuming that they are dark matter dominated and virialized objects letting halflight radius represent size of sdss j12573419 we find that its mass is sim 7times 106 solar mass this indicates masstolight ratio ml of sdss j12573419 is about 1000 in the solar unit this large ml is expected from a mateo plot of dsphs thus we insist sdss j12573419 is a dsph | [['a', 'recent', 'study', 'has', 'revealed', 'sdss', 'j12573419', 'is', 'either', 'a', 'faint', 'and', 'small', 'dwarf', 'galaxy', 'or', 'a', 'faint', 'and', 'widely', 'extended', 'globular', 'cluster', 'in', 'this', 'letter', 'the', 'author', 'suggests', 'this', 'stellar', 'system', 'is', 'a', 'dwarf', 'spheroidal', 'dsph', 'adopting', 'an', 'observational', 'relation', 'between', 'binding', 'energy', 'and', 'mass', 'of', 'old', 'stellar', 'systems', 'we', 'derive', 'a', 'relation', 'between', 'mass', 'and', 'size', 'of', 'dsphs', 'by', 'assuming', 'that', 'they', 'are', 'dark', 'matter', 'dominated', 'and', 'virialized', 'objects', 'letting', 'halflight', 'radius', 'represent', 'size', 'of', 'sdss', 'j12573419', 'we', 'find', 'that', 'its', 'mass', 'is', 'sim', '7times', '106', 'solar', 'mass', 'this', 'indicates', 'masstolight', 'ratio', 'ml', 'of', 'sdss', 'j12573419', 'is', 'about', '1000', 'in', 'the', 'solar', 'unit', 'this', 'large', 'ml', 'is', 'expected', 'from', 'a', 'mateo', 'plot', 'of', 'dsphs', 'thus', 'we', 'insist', 'sdss', 'j12573419', 'is', 'a', 'dsph']] | [-0.08767923548622357, 0.09184997093841722, -0.10539426995185955, 0.1446441263392297, -0.1397482989461071, -0.04012865201014305, 0.05430021102074534, 0.3749862650950109, -0.11329603187491998, -0.4088463527150452, -0.01986850780667737, -0.3089826629701776, -0.045281217252317395, 0.19734581567407136, -0.09746045870856652, -0.05031690732322468, 0.06273406549477048, -0.06659430027526293, -0.07154552834652995, -0.29772182276675235, 0.290461243246682, 0.02152116571162497, 0.1044249035246227, -0.08377781941089779, 0.056567937931826996, -0.09829573120336019, -0.08349769591023365, -0.021161052075424982, -0.2133696730246987, 0.015614438148575925, 0.21210811012274317, 0.14312279009590706, 0.22886951318228496, -0.2809101237404731, -0.14499462444725777, 0.10582271155022506, 0.25050730971551893, 0.030824532920134165, -0.12509977648545417, -0.26959152656772567, 0.11740578487215023, -0.24218559043008775, -0.17347812604144094, 0.11868141753779303, 0.10759500116710702, 0.027540665655021345, -0.20234974393726238, 0.21339982574535232, 0.02798689916099031, 0.09640478771630555, -0.10292168307933025, -0.11387444465916845, -0.0733795581702819, 0.011184027510499883, 0.023978652721721557, 0.06766677600699628, 0.21789847447672078, -0.09881619044444373, 0.06836141451006575, 0.4292352954827009, -0.05321768842141835, 0.01568623124471595, 0.20800310190046026, -0.15968829126382666, -0.17966094505672733, 0.03218094743187389, 0.14377333842323073, 0.07788219979040385, -0.2082498948908441, 0.09781633373565837, -0.08390667725395742, 0.29604190150125614, 0.04894027715894363, 0.039646011844935505, 0.37092276746707575, 0.16217197941929748, 0.07083274149185707, 0.004791397653940705, -0.23588392767874944, -0.001799099753806067, -0.1638701529187646, -0.13397976851011928, -0.16820843835763122, 0.12049246369297767, -0.1412376106838506, -0.10879929507932355, 0.2970833845752021, 0.0741747948040645, 0.27525788361033904, 0.09576304534622919, 0.3305272100110268, 0.10012981001261412, 0.13448981018436532, 0.12634146036279778, 0.32626516644978115, 0.19933067584568034, 0.04475302600410707, -0.2140794521781631, 0.0345406066898572, 0.0006583601502972024] |
709.0328 | Candidate Members and Age Estimate of the Family of Kuiper Belt Object
2003 EL61 | The collisional family of Kuiper belt object (KBO) 2003 EL61 opens the
possibility for many interesting new studies of processes important in the
formation and evolution of the outer solar system. As the first family in the
Kuiper belt, it can be studied using techniques developed for studying asteroid
families, although some modifications are necessary. Applying these modified
techniques allows for a dynamical study of the 2003 EL61 family. The velocity
required to change orbits is used to quantitatively identify objects near the
collision. A method for identifying family members that have potentially
diffused in resonances (like 2003 EL61) is also developed. Known family members
are among the very closest KBOs to the collision and two new likely family
members are identified: 2003 UZ117 and 1999 OY3. We also give tables of
candidate family members which require future observations to confirm
membership. We estimate that a minimum of ~1 GYr is needed for resonance
diffusion to produce the current position of 2003 EL61, implying that the
family is likely primordial. Future refinement of the age estimate is possible
once (many) more resonant objects are identified. The ancient nature of the
collision contrasts with the seemingly fresh surfaces of known family members,
suggesting that our understanding of outer solar system surfaces is incomplete.
| astro-ph | the collisional family of kuiper belt object kbo 2003 el61 opens the possibility for many interesting new studies of processes important in the formation and evolution of the outer solar system as the first family in the kuiper belt it can be studied using techniques developed for studying asteroid families although some modifications are necessary applying these modified techniques allows for a dynamical study of the 2003 el61 family the velocity required to change orbits is used to quantitatively identify objects near the collision a method for identifying family members that have potentially diffused in resonances like 2003 el61 is also developed known family members are among the very closest kbos to the collision and two new likely family members are identified 2003 uz117 and 1999 oy3 we also give tables of candidate family members which require future observations to confirm membership we estimate that a minimum of 1 gyr is needed for resonance diffusion to produce the current position of 2003 el61 implying that the family is likely primordial future refinement of the age estimate is possible once many more resonant objects are identified the ancient nature of the collision contrasts with the seemingly fresh surfaces of known family members suggesting that our understanding of outer solar system surfaces is incomplete | [['the', 'collisional', 'family', 'of', 'kuiper', 'belt', 'object', 'kbo', '2003', 'el61', 'opens', 'the', 'possibility', 'for', 'many', 'interesting', 'new', 'studies', 'of', 'processes', 'important', 'in', 'the', 'formation', 'and', 'evolution', 'of', 'the', 'outer', 'solar', 'system', 'as', 'the', 'first', 'family', 'in', 'the', 'kuiper', 'belt', 'it', 'can', 'be', 'studied', 'using', 'techniques', 'developed', 'for', 'studying', 'asteroid', 'families', 'although', 'some', 'modifications', 'are', 'necessary', 'applying', 'these', 'modified', 'techniques', 'allows', 'for', 'a', 'dynamical', 'study', 'of', 'the', '2003', 'el61', 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709.0329 | Schizophrenia - a parameters' game? | Schizophrenia is a severe, currently incurable, relatively common mental
condition. Its symptoms are complex and widespread. It structurally and
functionally affects cortical and subcortical regions involved in cognitive,
emotional and motivational aspects of behavior. Its cause is unknown, its
diagnosis is based on statistical behavior and its treatment is elusive.
Our paradigm addresses the complexity of schizophrenic symptoms. Building
upon recent neural vulnerability and limbic dysregulation hypotheses, it offers
a mathematical model for the evolution of the limbic system under perturbation.
Dependence on parameters and the concept of "bifurcation" could be the key to
understanding the threshold between "normality" and "disease".
| q-bio.QM q-bio.TO | schizophrenia is a severe currently incurable relatively common mental condition its symptoms are complex and widespread it structurally and functionally affects cortical and subcortical regions involved in cognitive emotional and motivational aspects of behavior its cause is unknown its diagnosis is based on statistical behavior and its treatment is elusive our paradigm addresses the complexity of schizophrenic symptoms building upon recent neural vulnerability and limbic dysregulation hypotheses it offers a mathematical model for the evolution of the limbic system under perturbation dependence on parameters and the concept of bifurcation could be the key to understanding the threshold between normality and disease | [['schizophrenia', 'is', 'a', 'severe', 'currently', 'incurable', 'relatively', 'common', 'mental', 'condition', 'its', 'symptoms', 'are', 'complex', 'and', 'widespread', 'it', 'structurally', 'and', 'functionally', 'affects', 'cortical', 'and', 'subcortical', 'regions', 'involved', 'in', 'cognitive', 'emotional', 'and', 'motivational', 'aspects', 'of', 'behavior', 'its', 'cause', 'is', 'unknown', 'its', 'diagnosis', 'is', 'based', 'on', 'statistical', 'behavior', 'and', 'its', 'treatment', 'is', 'elusive', 'our', 'paradigm', 'addresses', 'the', 'complexity', 'of', 'schizophrenic', 'symptoms', 'building', 'upon', 'recent', 'neural', 'vulnerability', 'and', 'limbic', 'dysregulation', 'hypotheses', 'it', 'offers', 'a', 'mathematical', 'model', 'for', 'the', 'evolution', 'of', 'the', 'limbic', 'system', 'under', 'perturbation', 'dependence', 'on', 'parameters', 'and', 'the', 'concept', 'of', 'bifurcation', 'could', 'be', 'the', 'key', 'to', 'understanding', 'the', 'threshold', 'between', 'normality', 'and', 'disease']] | [-0.11888527586631993, 0.09339647028263252, -0.08180760922334572, 0.09537676277819394, -0.12662927041033117, -0.1601567336422677, 0.06269407714025514, 0.35336730528696636, -0.22807787878365063, -0.25904150192837905, 0.12404777881767748, -0.25279437240655767, -0.30673292572471766, 0.18743380505619295, -0.1522978626210058, 0.038900862034124385, 0.04416134101822788, 0.05878090224745176, 0.022726027599286915, -0.2039563466960767, 0.30629240766186083, 0.07301359197659658, 0.3506800425653853, 0.06735418844071336, 0.07297278677417647, -0.04539648165216319, -0.013138390118532841, -0.04813409201100026, -0.08149057381329966, 0.11715786290899066, 0.2959212723676816, 0.24699956010727414, 0.36388276959999954, -0.43218280972525625, -0.2423180862154701, 0.07721220746193783, 0.08648325713572673, 0.06619217635840086, 0.009799046780784974, -0.3137467086446554, 0.07750987865510259, -0.1318719883790553, -0.11531060116047427, -0.06384878242411421, 0.03605489396446357, -0.025428367654175155, -0.23246214052865116, 0.1374317870802698, 0.04527448591232152, 0.14832579249073521, -0.06317872690995878, -0.08233970043936394, -0.023361332232759584, 0.19493061691836114, 0.0881037312020354, 0.006507471139256907, 0.2238395409474131, -0.1881597558829454, -0.08614575529083757, 0.3316374392165701, 0.08165017604173189, -0.1882571054479605, 0.269621647472521, -0.07546165897649261, -0.15737092204041558, 0.09073730503291924, 0.1558655973450087, 0.03061880878493245, -0.1778260898444396, 0.004280091710573081, 0.03766005024277043, 0.17033458719869135, 0.029654030831032754, 0.023589746634669527, 0.19512786817653935, 0.26723870987505977, -0.005934912729823943, 0.07193411922077694, -0.05991008251647253, -0.09782029730774978, -0.21962528356747463, -0.10860265394336184, -0.07842570431253845, 0.01653264647022369, -0.07740243476017904, -0.19677309012317126, 0.45129159895131493, 0.15319935787506034, 0.14374681258352823, 0.028213138793512147, 0.2819218474197072, 0.036553615387206397, 0.06223421687684437, 0.010777113869288328, 0.18798272059953744, 0.12012981343005857, 0.076194550998804, -0.24348671142804887, 0.26064765855490163, -0.004995989004647968] |
709.033 | Penrose Model potential, compared with Coleman-Weinberg Potential for
early universe scalar evolution | We present an overview of Dr. Penrose's model of a cyclic universe, minus the
big crunch which relies upon black hole collection of matter after an a long
term expansion phase from an initial big bang . We affirm that the suggested
evolution equation presented at his lecture for his model meets requirements as
to an emergent quintessence field from a vacuum state . We try to offer
suggestions as to how to investigate his controversial conformal mapping of
matter/energy via Hawkings radiation from a potentially infinite number of
black holes to a new big bang. This is his 'ripples in a pond' effect which we
find highly unusual but worth serious study and investigation.
| physics.gen-ph | we present an overview of dr penroses model of a cyclic universe minus the big crunch which relies upon black hole collection of matter after an a long term expansion phase from an initial big bang we affirm that the suggested evolution equation presented at his lecture for his model meets requirements as to an emergent quintessence field from a vacuum state we try to offer suggestions as to how to investigate his controversial conformal mapping of matterenergy via hawkings radiation from a potentially infinite number of black holes to a new big bang this is his ripples in a pond effect which we find highly unusual but worth serious study and investigation | [['we', 'present', 'an', 'overview', 'of', 'dr', 'penroses', 'model', 'of', 'a', 'cyclic', 'universe', 'minus', 'the', 'big', 'crunch', 'which', 'relies', 'upon', 'black', 'hole', 'collection', 'of', 'matter', 'after', 'an', 'a', 'long', 'term', 'expansion', 'phase', 'from', 'an', 'initial', 'big', 'bang', 'we', 'affirm', 'that', 'the', 'suggested', 'evolution', 'equation', 'presented', 'at', 'his', 'lecture', 'for', 'his', 'model', 'meets', 'requirements', 'as', 'to', 'an', 'emergent', 'quintessence', 'field', 'from', 'a', 'vacuum', 'state', 'we', 'try', 'to', 'offer', 'suggestions', 'as', 'to', 'how', 'to', 'investigate', 'his', 'controversial', 'conformal', 'mapping', 'of', 'matterenergy', 'via', 'hawkings', 'radiation', 'from', 'a', 'potentially', 'infinite', 'number', 'of', 'black', 'holes', 'to', 'a', 'new', 'big', 'bang', 'this', 'is', 'his', 'ripples', 'in', 'a', 'pond', 'effect', 'which', 'we', 'find', 'highly', 'unusual', 'but', 'worth', 'serious', 'study', 'and', 'investigation']] | [-0.11005756255873866, 0.09896505369023889, -0.15254890456779208, 0.09585869741271687, -0.1188984420645026, -0.1377134911254444, 0.039394273188797575, 0.26995428208780964, -0.24559495146427535, -0.295207972201494, 0.11162344920881653, -0.30630446180899057, -0.11802340302599874, 0.1475757669772854, -0.11366133939936361, -0.014747289719216657, 0.014863855539268889, 0.02766435094738165, -0.05410561655994208, -0.28424428758598796, 0.366749899519558, 0.14723614428555015, 0.23902473160255272, 0.056016248828047406, 0.11012906845724951, -0.013157372016756408, -0.009206167517015628, 0.009639885573260553, -0.16947879631153928, 0.05004678403678457, 0.19570728805559004, 0.19377298563496267, 0.3064283487279858, -0.47629510349206694, -0.24456324740683874, 0.09467689687616926, 0.1404811030138383, 0.17841465015219837, -0.11142500919141535, -0.2754498773905556, 0.03539653090076043, -0.21664200850919021, -0.17078796003541324, -0.04284197922004799, 0.05496770450206622, -0.07870043687052629, -0.17078769081828507, 0.05065169960231545, 0.0402264081382613, -0.020739631883931898, -0.06794742379848541, -0.057763016115115806, 0.038743705987369856, 0.06417638496949082, 0.1305512020784735, 0.03761620062662997, 0.11172513581762931, -0.14061560704109086, -0.08129613263845707, 0.39016689406295796, -0.09232135117517587, -0.061036615036489786, 0.12489711091054224, -0.14138592876889536, -0.13090480952235187, 0.10205583792979277, 0.10784467437049061, 0.10806836545121222, -0.1438213780901469, 0.08645364817229834, 0.015870001018706677, 0.17531014693307534, 0.09359257605619135, 0.0007563623665642422, 0.3584872034534944, 0.1550240353722356, 0.017088559794083105, 0.11658830238522681, 0.022264182575838228, -0.08561898620832151, -0.3626814626066624, -0.19104446514418957, -0.14870424515905634, 0.1611634926598486, -0.08006581872589866, -0.21518312261926126, 0.3464172724634409, 0.15424395719503436, 0.20445005683949305, -0.021435946656753663, 0.2590718846373114, 0.02866095349200861, 0.002610457356425777, 0.06880261178903149, 0.2298012327452281, 0.0856490899289472, 0.18124002922816712, -0.19518083696195906, -0.0023134168839098607, 0.06868987066044877] |
709.0331 | The use of cosmic muons in detecting heterogeneities in large volumes | The muon intensity attenuation method to detect heterogeneities in large
matter volumes is analyzed. Approximate analytical expressions to estimate the
collection time and the signal to noise ratio, are proposed and validated by
Monte Carlo simulations. Important parameters, including point spread function
and coordinate reconstruction uncertainty are also estimated using Monte Carlo
simulations.
| physics.ins-det | the muon intensity attenuation method to detect heterogeneities in large matter volumes is analyzed approximate analytical expressions to estimate the collection time and the signal to noise ratio are proposed and validated by monte carlo simulations important parameters including point spread function and coordinate reconstruction uncertainty are also estimated using monte carlo simulations | [['the', 'muon', 'intensity', 'attenuation', 'method', 'to', 'detect', 'heterogeneities', 'in', 'large', 'matter', 'volumes', 'is', 'analyzed', 'approximate', 'analytical', 'expressions', 'to', 'estimate', 'the', 'collection', 'time', 'and', 'the', 'signal', 'to', 'noise', 'ratio', 'are', 'proposed', 'and', 'validated', 'by', 'monte', 'carlo', 'simulations', 'important', 'parameters', 'including', 'point', 'spread', 'function', 'and', 'coordinate', 'reconstruction', 'uncertainty', 'are', 'also', 'estimated', 'using', 'monte', 'carlo', 'simulations']] | [-0.0554742554761689, 0.0910739124453855, -0.08178514406801078, 0.16948367775865952, -0.006489126890335443, -0.08501271228745298, 0.016172411781296414, 0.4404291588602201, -0.25380166732477694, -0.3883174038580004, 0.12166382559302773, -0.31566670508000927, -0.0941376679297976, 0.20438573115839148, 0.03622100621743022, 0.1289725480513331, 0.09721941353296334, -0.08966570113838282, -0.09881315208128039, -0.19359123436426567, 0.17687190591164356, 0.18413250060435735, 0.2991377830786525, -0.0019220945618624956, 0.15027691567984391, 0.026816755805586307, -0.12633873200711776, 0.03132023054333228, -0.185793856360932, 0.026233041325127177, 0.26454209133473067, 0.1032548214502211, 0.16194107959855278, -0.4003157205528246, -0.2392968331762361, 0.13920834544554073, 0.17216524086400586, 0.11244923176841354, -0.08487420267302473, -0.2978539252653718, 0.06585928860102903, -0.14598808084386136, -0.1269961550287059, -0.12805614325235476, -0.019422338642882852, 0.07164139975354357, -0.3174574337899685, 0.11839302925707088, -0.14680841217204085, 0.06838045125159453, 0.0019815782928523026, -0.15992284179577287, -0.0025409539669470965, 0.10818859803455197, 0.06753502953094694, 0.03919586529603825, 0.20447786693584244, -0.0647331810960511, -0.10253316439020466, 0.2987268901834229, -0.041765369668181215, -0.25743936097143955, 0.15160283534172572, -0.14307970412180954, -0.06815161378527025, 0.24883041020816649, 0.23051049993461314, 0.09796928604713308, -0.22462868646560413, 0.01103090871463723, 0.04136223578166638, 0.17919146203060354, -0.015323316810195739, -0.051173693342310075, 0.14127927596838968, 0.16068269800886792, -0.03355078543272783, 0.12759818228726047, -0.21835305624342752, -0.18728760169502698, -0.25717766836004435, -0.10349543071088363, -0.2351760432137317, 0.006721310985257041, -0.15935018234188836, -0.14511411387543632, 0.29828892911801924, 0.2732066988751714, 0.13365183689824814, 0.08393049256805822, 0.3882841310059687, 0.1420574377220616, 0.02453750026640746, 0.05453731705663058, 0.20042685004618932, 0.15264920497594295, 0.023265797548206908, -0.2636049388389472, 0.10906997621762303, 0.06885373274321263] |
709.0332 | Effective base point free theorem for log canonical pairs--Koll\'ar type
theorem | We prove Koll\'ar's effective base point free theorem for log canonical
pairs.
| math.AG | we prove kollars effective base point free theorem for log canonical pairs | [['we', 'prove', 'kollars', 'effective', 'base', 'point', 'free', 'theorem', 'for', 'log', 'canonical', 'pairs']] | [-0.22093990988408527, 0.04903287603519857, -0.13735806309462836, 0.26132864768927294, -0.05018788374339541, -0.20814162461707988, 0.17463350373630723, 0.276073948169748, -0.2831759487744421, -0.22305255383253098, -0.0742042656832685, -0.27346508391201496, -0.12172438794126113, 0.2275646597457429, -0.16966921587785086, -0.055621654416124024, 0.06573050810645024, 0.12189157190732658, -0.1367741726959745, -0.23216848215088248, 0.4102048724889755, -0.05415665256199039, 0.3327342568469855, 0.11560501717031002, 0.16889110618891814, 0.1901894163650771, -0.018943062440181773, -0.0893494535703212, -0.18620685239632925, 0.08896511824180682, 0.35824231586108607, 0.07596688754468535, 0.1686804147126774, -0.3133366530140241, -0.163967107112209, 0.2232099090858052, 0.07310384977608919, 0.05875424761325121, 0.0164389499113895, -0.12718077252308527, 0.23389701733322, -0.12873733912905058, -0.2959908785414882, -0.0882283472456038, -0.009801973899205526, 0.031083669668684404, -0.32839679593841237, 0.012147436915256549, 0.17250123790775737, 0.1497538861973832, 0.0028799821933110556, -0.13346709730103612, -0.032351257745176554, 0.03748965387543043, -0.011828447963731984, 0.04871843631068865, 0.17340665392111987, -0.015184717408070961, -0.02286688983440399, 0.24860349722439423, -0.14862527962153158, -0.16249275455872217, 0.09232940804213285, 0.013291872145297626, -0.18444627585510412, 0.030742218097050984, 0.008280347450636327, 0.2758866099175066, -0.05484636298691233, 0.22543509428699812, -0.13487515226006508, 0.0834115861725877, 0.19974963491161665, 0.005335595769186814, 0.1492541174714764, 0.012020617878685394, 0.1641850060162445, 0.09742425863320629, -0.03501419350504875, -0.11310643004253507, -0.3966920350988706, -0.2730458000053962, -0.09417513474666823, 0.2483579342563947, -0.19300766929518431, -0.16075272481733313, 0.1729612248018384, 0.07222996376610051, 0.18623493588529527, 0.20273733674548566, 0.24042026015619436, 0.1298204061264793, -0.037226206700628005, 0.1716467993489156, 0.07975332175071041, 0.16088343299149224, -0.06285834882874042, -0.04262131111075481, -0.21151521491507688, 0.3726616284499566] |
709.0333 | Dynamic nuclear polarisation in biased quantum wires with spin-orbit
interaction | We propose a new method for dynamic nuclear polarisation in a quasi
one-dimensional quantum wire utilising the spin-orbit interaction, the
hyperfine interaction, and a finite source-drain potential difference. In
contrast with current methods, our scheme does not rely on external magnetic or
optical sources which makes independent control of closely placed devices much
more feasible. Using this method, a significant polarisation of a few per cent
is possible in currently available InAs wires which may be detected by
conductance measurements. This may prove useful for nuclear-magnetic-resonance
studies in nanoscale systems as well as in spin-based devices where external
magnetic and optical sources will not be suitable.
| cond-mat.mes-hall | we propose a new method for dynamic nuclear polarisation in a quasi onedimensional quantum wire utilising the spinorbit interaction the hyperfine interaction and a finite sourcedrain potential difference in contrast with current methods our scheme does not rely on external magnetic or optical sources which makes independent control of closely placed devices much more feasible using this method a significant polarisation of a few per cent is possible in currently available inas wires which may be detected by conductance measurements this may prove useful for nuclearmagneticresonance studies in nanoscale systems as well as in spinbased devices where external magnetic and optical sources will not be suitable | [['we', 'propose', 'a', 'new', 'method', 'for', 'dynamic', 'nuclear', 'polarisation', 'in', 'a', 'quasi', 'onedimensional', 'quantum', 'wire', 'utilising', 'the', 'spinorbit', 'interaction', 'the', 'hyperfine', 'interaction', 'and', 'a', 'finite', 'sourcedrain', 'potential', 'difference', 'in', 'contrast', 'with', 'current', 'methods', 'our', 'scheme', 'does', 'not', 'rely', 'on', 'external', 'magnetic', 'or', 'optical', 'sources', 'which', 'makes', 'independent', 'control', 'of', 'closely', 'placed', 'devices', 'much', 'more', 'feasible', 'using', 'this', 'method', 'a', 'significant', 'polarisation', 'of', 'a', 'few', 'per', 'cent', 'is', 'possible', 'in', 'currently', 'available', 'inas', 'wires', 'which', 'may', 'be', 'detected', 'by', 'conductance', 'measurements', 'this', 'may', 'prove', 'useful', 'for', 'nuclearmagneticresonance', 'studies', 'in', 'nanoscale', 'systems', 'as', 'well', 'as', 'in', 'spinbased', 'devices', 'where', 'external', 'magnetic', 'and', 'optical', 'sources', 'will', 'not', 'be', 'suitable']] | [-0.16550186568462588, 0.14756150669330415, -0.0167636164157368, 0.0194367289066508, -0.06907132436205053, -0.2126424337587899, 0.06261747400056711, 0.4467261405837423, -0.22894274515872998, -0.318073559394282, 0.06126900464801539, -0.24787105802218165, -0.09569336730055511, 0.27781754390134494, -0.01739165490001159, 0.04684277569418246, 0.04870477518207341, -0.009145836679721778, -0.05495556556885482, -0.19589542807519156, 0.24893820324016488, 0.032340885399739734, 0.2884404614769836, 0.10037562239229819, 0.06731618559954441, 0.015775920726569755, 0.030825082726671168, 0.05227510472056719, -0.06056373242622698, 0.10099310535753041, 0.2765013705796281, -0.024702988463447907, 0.2603374767503789, -0.470297001829406, -0.22434001449354976, 0.08516104803218798, 0.18243525061264354, 0.18725653333404926, -0.08439687256141729, -0.2784050490689587, 0.039778284258472754, -0.16418346829431238, -0.0886508182110155, -0.0877673553285312, -0.005266851257919421, 0.05764819943469088, -0.25913586986760767, 0.08224209657659368, 0.010457691890824551, 0.07887069224643539, -0.04858067791545456, -0.0974238880576109, 0.025624015425630618, 0.06726073093914409, -0.06526935393350937, 0.06987124377694684, 0.19190561966004097, -0.10074011864193347, -0.14572618787071473, 0.37707060257429786, -0.06558559260348666, -0.17407658395471648, 0.16924914458485427, -0.16978172591463486, -0.10869199072696129, 0.09178219573958865, 0.16246962786283134, 0.1398485799711022, -0.18613579942194639, 0.037337222506669966, 0.022382120628191053, 0.21059880374666118, 0.0003467805437603087, 0.11399506443654592, 0.27611307005556124, 0.18582271823202665, 0.08358309237848756, 0.12056976485830503, -0.12583287600383936, -0.018885079271023883, -0.26640001826761467, -0.13057674644163475, -0.21342489397469558, 0.10187166585298123, -0.038547687372796784, -0.17301837415412455, 0.3518148725490975, 0.193211401568919, 0.14598716055658065, -0.0718968082329188, 0.3704811374103334, 0.09468870384416561, 0.1430560414204901, 0.039129042356573746, 0.27212359413767084, 0.1532556474371374, 0.11924820098331866, -0.20817455280800615, 0.080903608369518, -0.05508257623955186] |
709.0334 | Maximum likelihood estimation of a log-concave density and its
distribution function: Basic properties and uniform consistency | We study nonparametric maximum likelihood estimation of a log-concave
probability density and its distribution and hazard function. Some general
properties of these estimators are derived from two characterizations. It is
shown that the rate of convergence with respect to supremum norm on a compact
interval for the density and hazard rate estimator is at least
$(\log(n)/n)^{1/3}$ and typically $(\log(n)/n)^{2/5}$, whereas the difference
between the empirical and estimated distribution function vanishes with rate
$o_{\mathrm{p}}(n^{-1/2})$ under certain regularity assumptions.
| math.ST stat.ME stat.TH | we study nonparametric maximum likelihood estimation of a logconcave probability density and its distribution and hazard function some general properties of these estimators are derived from two characterizations it is shown that the rate of convergence with respect to supremum norm on a compact interval for the density and hazard rate estimator is at least lognn13 and typically lognn25 whereas the difference between the empirical and estimated distribution function vanishes with rate o_mathrmpn12 under certain regularity assumptions | [['we', 'study', 'nonparametric', 'maximum', 'likelihood', 'estimation', 'of', 'a', 'logconcave', 'probability', 'density', 'and', 'its', 'distribution', 'and', 'hazard', 'function', 'some', 'general', 'properties', 'of', 'these', 'estimators', 'are', 'derived', 'from', 'two', 'characterizations', 'it', 'is', 'shown', 'that', 'the', 'rate', 'of', 'convergence', 'with', 'respect', 'to', 'supremum', 'norm', 'on', 'a', 'compact', 'interval', 'for', 'the', 'density', 'and', 'hazard', 'rate', 'estimator', 'is', 'at', 'least', 'lognn13', 'and', 'typically', 'lognn25', 'whereas', 'the', 'difference', 'between', 'the', 'empirical', 'and', 'estimated', 'distribution', 'function', 'vanishes', 'with', 'rate', 'o_mathrmpn12', 'under', 'certain', 'regularity', 'assumptions']] | [-0.07269631427354054, 0.03669998499036238, -0.12451144748853482, 0.12149832536925788, 0.006551570252741914, -0.10076810345934653, 0.05048984769933127, 0.4307688665450425, -0.2589155983783909, -0.24850311404411882, 0.17990887441319992, -0.2850575512023391, -0.10552236602666813, 0.186520394705538, -0.08959506122345054, 0.1255010921386939, 0.02102562751482568, 0.0700878929095091, -0.15505807857796852, -0.26909220396113154, 0.31701889888358276, 0.06521175341126886, 0.317964479896693, 0.04115664786769304, 0.12623494813797642, 0.0006273977169011896, -0.011069245831537488, -0.009336881893309387, -0.20639818629009626, 0.12286970590090228, 0.19425196935598915, 0.18888554421907947, 0.33484211856046237, -0.29710715613957195, -0.20005724542598063, 0.16153953340206598, 0.06143992718755947, -0.02600804664748343, -0.005054980864106501, -0.21748890538976803, 0.08037003483371558, -0.16104616891164836, -0.11723239672043033, -0.021950376811563165, 0.019373426339714915, 0.13140505357532184, -0.3948357728737834, 0.16266177454019418, 0.03888268459185555, 0.051870637686570756, -0.05842595059909178, -0.172486797370004, -0.035358969210269486, 0.03759688819834107, 0.152361533296219, 0.03181833076303372, 0.1338667379553757, -0.10676776269148733, 0.004973768288068272, 0.2442821902097077, -0.1054283450986888, -0.24338881734355883, 0.17821121146285757, -0.2245766078751232, -0.111782797001856, 0.1271525400476782, 0.16461667730598836, 0.12050439151809425, -0.15732691005325397, 0.0618879322451854, -0.006290719923059884, 0.12647138478083386, 0.08406802310255936, 0.05665631070056603, 0.15364314742839416, 0.10647070160878168, 0.1891661375333127, 0.10875393656032109, -0.12453065167898564, -0.10201740392005525, -0.34075417248783885, -0.12244330472124086, -0.2498522265940099, 0.02947245042368367, -0.1629624265815191, -0.182262109140661, 0.3507965960841928, 0.11426041094032494, 0.19616443962110458, 0.20384348907533126, 0.2563637617371372, 0.19845635491435895, -0.026880956412217504, 0.12304135355972559, 0.17266532921781322, 0.1984485380785741, -0.04944584672842678, -0.17777357714540148, 0.2048667122144252, 0.04470145449080076] |
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