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711.4408 | BZ-MC-BP Model for Jet Production from Black Hole Accretion Disc | Three energy mechanisms invoking large-scale magnetic fields are incorporated
in a model to interpret jet production in black hole (BH) systems, i.e., the
Blandford-Znajek (BZ), the magnetic coupling (MC) and Blandford-Payne (BP)
processes. These energy mechanisms can coexist in BH accretion disc based on
the magnetic field configurations constrained by the screw instability,
provided that the BH spin and the power-law index indicating the variation of
the magnetic field at an accretion disc are greater than some critical values.
In this model the jets are driven by the BZ process in the Poynting flux regime
and by the BP process in the hydromagnetic regime, being consistent with the
spine/sheath jet structure observed in BH sources of stellar and supermassive
size.
| astro-ph | three energy mechanisms invoking largescale magnetic fields are incorporated in a model to interpret jet production in black hole bh systems ie the blandfordznajek bz the magnetic coupling mc and blandfordpayne bp processes these energy mechanisms can coexist in bh accretion disc based on the magnetic field configurations constrained by the screw instability provided that the bh spin and the powerlaw index indicating the variation of the magnetic field at an accretion disc are greater than some critical values in this model the jets are driven by the bz process in the poynting flux regime and by the bp process in the hydromagnetic regime being consistent with the spinesheath jet structure observed in bh sources of stellar and supermassive size | [['three', 'energy', 'mechanisms', 'invoking', 'largescale', 'magnetic', 'fields', 'are', 'incorporated', 'in', 'a', 'model', 'to', 'interpret', 'jet', 'production', 'in', 'black', 'hole', 'bh', 'systems', 'ie', 'the', 'blandfordznajek', 'bz', 'the', 'magnetic', 'coupling', 'mc', 'and', 'blandfordpayne', 'bp', 'processes', 'these', 'energy', 'mechanisms', 'can', 'coexist', 'in', 'bh', 'accretion', 'disc', 'based', 'on', 'the', 'magnetic', 'field', 'configurations', 'constrained', 'by', 'the', 'screw', 'instability', 'provided', 'that', 'the', 'bh', 'spin', 'and', 'the', 'powerlaw', 'index', 'indicating', 'the', 'variation', 'of', 'the', 'magnetic', 'field', 'at', 'an', 'accretion', 'disc', 'are', 'greater', 'than', 'some', 'critical', 'values', 'in', 'this', 'model', 'the', 'jets', 'are', 'driven', 'by', 'the', 'bz', 'process', 'in', 'the', 'poynting', 'flux', 'regime', 'and', 'by', 'the', 'bp', 'process', 'in', 'the', 'hydromagnetic', 'regime', 'being', 'consistent', 'with', 'the', 'spinesheath', 'jet', 'structure', 'observed', 'in', 'bh', 'sources', 'of', 'stellar', 'and', 'supermassive', 'size']] | [-0.15878553755076913, 0.1726982094009145, -0.0037341417953333195, 0.15081494894514738, -0.06877790464980839, -0.06626663343437637, 0.006841627223063067, 0.3989587041083723, -0.23785398224523913, -0.3116493984562112, 0.05901830175134819, -0.2313942557797418, -0.012709946402659019, 0.2388471383485012, 0.040564076719844404, 0.006952640487118818, -0.015601884212810547, -0.05361355009178321, -0.009703947877278551, -0.14953468277235515, 0.34779020911664704, 0.10314872512632671, 0.2112864426492403, -0.026213706463264923, 0.048502942516158026, -0.05602522062836215, 0.03924994087428786, 0.021047816231536367, -0.1372951480660049, 0.005633303460975488, 0.14528293130764117, 0.040382585243787614, 0.1963829019828457, -0.4487065707643827, -0.25938920620052763, 0.008567951368362022, 0.19282993679322924, 0.0442546376104777, -0.08160709603010521, -0.20125765991591227, 0.09596240688891461, -0.21380749670012544, -0.09404981816575551, 0.021497837752394843, 0.006636725038212414, 0.011558623460587114, -0.2943814782372404, 0.14862459027208388, 0.11862774333470345, 0.007425565615994856, -0.15223323539636718, -0.0279600753254878, -0.12709796167910098, 0.019069385384985555, 0.1659837626789037, 0.1111632140741373, 0.27307098764770976, -0.17422988997811142, -0.1701625690999208, 0.33240137342363596, -0.0024289005442066506, -0.1104682127169023, 0.18716498659729647, -0.2638246435012358, -0.08976078672567382, 0.18524518761162956, 0.18828954222456862, 0.1257660146492223, -0.11680892987496919, 0.04975864224252291, 0.02247841185890138, 0.135708244087679, 0.003657204390037805, 0.011936315055936574, 0.37493096297063555, 0.13708732050436084, -0.038390028616413475, 0.09870294932819282, -0.13561955845798365, -0.10223206554073841, -0.24448787032742986, -0.11120500815256189, -0.1266280652799954, 0.08971878713928164, -0.15519735087048805, -0.13562920396167708, 0.35575315621293463, 0.12134172510898983, 0.22641560505144298, -0.04098966902044291, 0.2813014398794621, 0.14503457653336227, 0.07264221867080778, 0.20901877571983885, 0.36454922215125407, 0.18975563676989016, 0.14238184434943832, -0.27270851836074145, 0.06295757034483056, 0.04704408777179196] |
711.4409 | Spherical functors | This paper has been withdrawn and replaced by arXiv:1309.5035. In this paper
we describe some examples of so called spherical functors between triangulated
categories, which generalize the notion of a spherical object. We also give
sufficient conditions for a collection of spherical functors to yield a weak
representation of the category of tangles, and prove a structure theorem for
such representations under certain restrictions.
| math.CT math.AG | this paper has been withdrawn and replaced by arxiv13095035 in this paper we describe some examples of so called spherical functors between triangulated categories which generalize the notion of a spherical object we also give sufficient conditions for a collection of spherical functors to yield a weak representation of the category of tangles and prove a structure theorem for such representations under certain restrictions | [['this', 'paper', 'has', 'been', 'withdrawn', 'and', 'replaced', 'by', 'arxiv13095035', 'in', 'this', 'paper', 'we', 'describe', 'some', 'examples', 'of', 'so', 'called', 'spherical', 'functors', 'between', 'triangulated', 'categories', 'which', 'generalize', 'the', 'notion', 'of', 'a', 'spherical', 'object', 'we', 'also', 'give', 'sufficient', 'conditions', 'for', 'a', 'collection', 'of', 'spherical', 'functors', 'to', 'yield', 'a', 'weak', 'representation', 'of', 'the', 'category', 'of', 'tangles', 'and', 'prove', 'a', 'structure', 'theorem', 'for', 'such', 'representations', 'under', 'certain', 'restrictions']] | [-0.11399291034433104, 0.04708535151763095, -0.13683746916256725, 0.07717268536835613, -0.09450836097895508, -0.10466185040653699, -0.02462296922587686, 0.3726887440988942, -0.3440066096594646, -0.24675107868536125, 0.08803089397464184, -0.15088893198186443, -0.18096364283609012, 0.1557073374352758, -0.2207902649533935, -0.034583525414327305, 0.09971002458284299, 0.08000017501162512, -0.0935203993493425, -0.21400056495183398, 0.4353836679032871, -0.018342347313014287, 0.24620849373085157, 0.0978426100263032, 0.12817377566049495, -0.031044249023709978, -0.01567564891754753, 0.03873039096120804, -0.18446578600421726, 0.1547943248842207, 0.2601332619845394, 0.10645311345006266, 0.24441596119302428, -0.42823408555889886, -0.11605181672891217, 0.1988620115591893, 0.09670333917592726, 0.08901923452688766, -0.08155824951753611, -0.32879469867440914, 0.15229146477455893, -0.25034644531588707, -0.12845673457172418, -0.09150127463397525, 0.05979792374585356, 0.013609094648725457, -0.2715431707661732, -0.04031439049082572, 0.1876768037558548, 0.14168004367485762, -0.08683568310169947, -0.044977617509190056, 0.000870959223469808, 0.09715280256840209, 0.0026401391932888638, -0.0301611547077459, 0.07266559356468774, -0.12752027226434576, -0.06184592590268169, 0.3764439122307868, 0.013215948299076113, -0.2834808479935404, 0.16163650346875547, -0.07163390658411478, -0.185345007949287, 0.11082622290603698, 0.10391039089373653, 0.15247896069010336, -0.11538294929039059, 0.14996445958229107, -0.16467844923248603, 0.07339634716008155, 0.17886268407742065, 0.05245051396241973, 0.1485818194609786, 0.11309134898086388, 0.052674584090709686, 0.23809507070848393, -0.024938057246987545, -0.0040963650163677, -0.3471516151986425, -0.19806984696807045, -0.10874919384156191, 0.07282103231501957, -0.01697764498327622, -0.20859762526575534, 0.38464841725570814, 0.12467493844913348, 0.20733084560682377, 0.14570252326989752, 0.23488855534898384, 0.042309819462908696, 0.0713284665955201, 0.008017624107499918, 0.1759070126318543, 0.21452738770786378, 0.028550911059100476, -0.018369334480089563, 0.02672079837112318, 0.20819264716128744] |
711.441 | Three-Dimensional Simulations of Kelvin-Helmholtz Instability in Settled
Dust Layers in Protoplanetary Disks | As dust settles in a protoplanetary disk, a vertical shear develops because
the dust-rich gas in the midplane orbits at a rate closer to true Keplerian
than the slower-moving dust-depleted gas above and below. A classical analysis
(neglecting the Coriolis force and differential rotation) predicts that
Kelvin-Helmholtz instability occurs when the Richardson number of the
stratified shear flow is below roughly one-quarter. However, earlier numerical
studies showed that the Coriolis force makes layers more unstable, whereas
horizontal shear may stabilize the layers. Simulations with a 3D spectral code
were used to investigate these opposing influences on the instability in order
to resolve whether such layers can ever reach the dense enough conditions for
the onset of gravitational instability. I confirm that the Coriolis force, in
the absence of radial shear, does indeed make dust layers more unstable,
however the instability sets in at high spatial wavenumber for thicker layers.
When radial shear is introduced, the onset of instability depends on the
amplitude of perturbations: small amplitude perturbations are sheared to high
wavenumber where further growth is damped; whereas larger amplitude
perturbations grow to magnitudes that disrupt the dust layer. However, this
critical amplitude decreases sharply for thinner, more unstable layers. In 3D
simulations of unstable layers, turbulence mixes the dust and gas, creating
thicker, more stable layers. I find that layers with minimum Richardson numbers
in the approximate range 0.2 -- 0.4 are stable in simulations with horizontal
shear.
| astro-ph | as dust settles in a protoplanetary disk a vertical shear develops because the dustrich gas in the midplane orbits at a rate closer to true keplerian than the slowermoving dustdepleted gas above and below a classical analysis neglecting the coriolis force and differential rotation predicts that kelvinhelmholtz instability occurs when the richardson number of the stratified shear flow is below roughly onequarter however earlier numerical studies showed that the coriolis force makes layers more unstable whereas horizontal shear may stabilize the layers simulations with a 3d spectral code were used to investigate these opposing influences on the instability in order to resolve whether such layers can ever reach the dense enough conditions for the onset of gravitational instability i confirm that the coriolis force in the absence of radial shear does indeed make dust layers more unstable however the instability sets in at high spatial wavenumber for thicker layers when radial shear is introduced the onset of instability depends on the amplitude of perturbations small amplitude perturbations are sheared to high wavenumber where further growth is damped whereas larger amplitude perturbations grow to magnitudes that disrupt the dust layer however this critical amplitude decreases sharply for thinner more unstable layers in 3d simulations of unstable layers turbulence mixes the dust and gas creating thicker more stable layers i find that layers with minimum richardson numbers in the approximate range 02 04 are stable in simulations with horizontal shear | [['as', 'dust', 'settles', 'in', 'a', 'protoplanetary', 'disk', 'a', 'vertical', 'shear', 'develops', 'because', 'the', 'dustrich', 'gas', 'in', 'the', 'midplane', 'orbits', 'at', 'a', 'rate', 'closer', 'to', 'true', 'keplerian', 'than', 'the', 'slowermoving', 'dustdepleted', 'gas', 'above', 'and', 'below', 'a', 'classical', 'analysis', 'neglecting', 'the', 'coriolis', 'force', 'and', 'differential', 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711.4411 | Recent Results from the JLab Spin Physics Program | Select recent results from the Thomas Jefferson National Laboratory Spin
Physics program, along with the perspective on some upcoming experiments.
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711.4412 | Stirling's formula derived simply | Stirling's formula, the asymptotic expansion of $n!$ for $n$ large, or of
$\Gamma(z)$ for $z\to \infty$, is derived directly from the recursion equation
$\Gamma(z+1) =z \Gamma(s)$ and the normalization condition $\Gamma ({1/2})
=\sqrt{\pi}$.
| math.CO | stirlings formula the asymptotic expansion of n for n large or of gammaz for zto infty is derived directly from the recursion equation gammaz1 z gammas and the normalization condition gamma 12 sqrtpi | [['stirlings', 'formula', 'the', 'asymptotic', 'expansion', 'of', 'n', 'for', 'n', 'large', 'or', 'of', 'gammaz', 'for', 'zto', 'infty', 'is', 'derived', 'directly', 'from', 'the', 'recursion', 'equation', 'gammaz1', 'z', 'gammas', 'and', 'the', 'normalization', 'condition', 'gamma', '12', 'sqrtpi']] | [-0.1273233200790304, 0.13950727315563144, -0.10738780321271131, 0.13129328898591638, -0.047828530723398384, -0.1930904372940969, 0.0981574695500912, 0.2252848299615311, -0.2681064756135597, -0.23530344450564095, 0.010610792503663988, -0.35592398657040164, -0.005286768890183532, 0.1857293916118303, 0.08002033728090199, 0.07484088290595647, 0.01910599336648981, 0.04872215959723249, -0.052726162569315144, -0.21307060816748577, 0.2683805471681284, -0.029953946218346104, 0.2101970367754499, 0.0003043524850385659, 0.059329840467509, 0.04695635281898307, -0.04507882275025953, -0.1455521141743344, -0.252526342304367, 0.018273682107753826, 0.19355973347344183, 0.11308325245750672, 0.16987157014734816, -0.2850875709431641, -0.03586564351324782, 0.14432705382844715, 0.21851923184074235, -0.00892176925007141, 0.04419626650456904, -0.2590169149704955, 0.12797272106576146, -0.18098215139329885, -0.20898892707896954, -0.004211461933499033, 0.10068444712934169, 0.03798710297666152, -0.39537315493957564, 0.1269165213911258, 0.08680158791442712, -0.010624592799241796, 0.02340462702241811, -0.22555066893498102, -0.020839983343400738, 0.06881753499901881, 0.08869586253510506, 0.09650703141409339, 0.04872812042859467, -0.1409046207413529, -0.013790781087608952, 0.30400225113738666, -0.09148753036490896, -0.18313892603372084, 0.018166897190508968, -0.22266031736790232, -0.18596799256788057, 0.16259294205034772, 0.07443578417102496, 0.16028075517070564, -0.10739791300147772, 0.2850600587130016, 0.030782278401382042, 0.10572274452583356, 0.16346428210310865, -0.021370924501256508, 0.006762128238650886, 0.03202064637320511, -0.008952257237538244, 0.07035769877785986, -0.05059476708993316, 0.05673323091909741, -0.41467232460325415, -0.19495498611958642, -0.18917232339806628, 0.23039377929473465, -0.227503807551605, -0.15064379127667935, 0.1761962350909457, -0.01916177910893704, 0.238315053622831, 0.19747931525026532, 0.22244851522599207, 0.21830078157963176, -0.01897779725153338, 0.05640570287395156, 0.10694503462450071, 0.18721949972325203, 0.06117956314913251, -0.18559272930900933, 0.028839894231747498, 0.208461416546594] |
711.4413 | Radiation Damage in Polarized Ammonia Solids | Solid NH3 and ND3 provide a highly polarizable, radiation resistant source of
polarized protons and deuterons and have been used extensively in high
luminosity experiments investigating the spin structure of the nucleon. Over
the past twenty years, the UVA polarized target group has been instrumental in
producing and polarizing much of the material used in these studies, and many
practical considerations have been learned in this time. In this discussion, we
analyze the polarization performance of the solid ammonia targets used during
the recent JLab Eg4 run. Topics include the rate of polarization decay with
accumulated charge, the annealing procedure for radiation damaged targets to
recover polarization, and the radiation induced change in optimum microwave
frequency used to polarize the sample. We also discuss the success we have had
in implementing frequency modulation of the polarizing microwave frequency.
| nucl-ex | solid nh3 and nd3 provide a highly polarizable radiation resistant source of polarized protons and deuterons and have been used extensively in high luminosity experiments investigating the spin structure of the nucleon over the past twenty years the uva polarized target group has been instrumental in producing and polarizing much of the material used in these studies and many practical considerations have been learned in this time in this discussion we analyze the polarization performance of the solid ammonia targets used during the recent jlab eg4 run topics include the rate of polarization decay with accumulated charge the annealing procedure for radiation damaged targets to recover polarization and the radiation induced change in optimum microwave frequency used to polarize the sample we also discuss the success we have had in implementing frequency modulation of the polarizing microwave frequency | [['solid', 'nh3', 'and', 'nd3', 'provide', 'a', 'highly', 'polarizable', 'radiation', 'resistant', 'source', 'of', 'polarized', 'protons', 'and', 'deuterons', 'and', 'have', 'been', 'used', 'extensively', 'in', 'high', 'luminosity', 'experiments', 'investigating', 'the', 'spin', 'structure', 'of', 'the', 'nucleon', 'over', 'the', 'past', 'twenty', 'years', 'the', 'uva', 'polarized', 'target', 'group', 'has', 'been', 'instrumental', 'in', 'producing', 'and', 'polarizing', 'much', 'of', 'the', 'material', 'used', 'in', 'these', 'studies', 'and', 'many', 'practical', 'considerations', 'have', 'been', 'learned', 'in', 'this', 'time', 'in', 'this', 'discussion', 'we', 'analyze', 'the', 'polarization', 'performance', 'of', 'the', 'solid', 'ammonia', 'targets', 'used', 'during', 'the', 'recent', 'jlab', 'eg4', 'run', 'topics', 'include', 'the', 'rate', 'of', 'polarization', 'decay', 'with', 'accumulated', 'charge', 'the', 'annealing', 'procedure', 'for', 'radiation', 'damaged', 'targets', 'to', 'recover', 'polarization', 'and', 'the', 'radiation', 'induced', 'change', 'in', 'optimum', 'microwave', 'frequency', 'used', 'to', 'polarize', 'the', 'sample', 'we', 'also', 'discuss', 'the', 'success', 'we', 'have', 'had', 'in', 'implementing', 'frequency', 'modulation', 'of', 'the', 'polarizing', 'microwave', 'frequency']] | [-0.055344043245171975, 0.16675724520477175, -0.07143744845691062, 0.03248118912209723, -0.042045866027066524, -0.0923504482540064, 0.023349759128135052, 0.48088694309448676, -0.20564179711152603, -0.30577395923000616, 0.06102410670162525, -0.27150638270307415, -0.03480241315636485, 0.21828203867223575, 0.01346348103706854, 0.06773039361761107, 0.009928469620916966, -0.034506279925678104, -0.0458813937088597, -0.2602959493477659, 0.23837906822059168, 0.14117535982743232, 0.31034922965523537, 0.07077144014982194, 0.09384627656392536, 0.006912899353153949, -0.07095933037327372, -0.03717154243036452, -0.09197369876171524, 0.07761124464220973, 0.3092534601464052, 0.11098091023715798, 0.20106092597575465, -0.4775144067678637, -0.23141603994040486, 0.1181021100853359, 0.09646225588253435, 0.15430119711171536, -0.10483890433156741, -0.25236547805443676, 0.011040611806101282, -0.17801949470626857, -0.14114631570359, -0.059677447363170016, 0.03354867603493868, 0.027973815817453892, -0.20528775901426596, 0.027537794220966565, 0.02270482548845619, 0.08258405953635509, -0.06835510650391344, -0.1791272031306459, -0.013655715360285809, 0.10584416504555048, 0.06973596682676869, 0.06639929110068321, 0.18391897169410856, -0.10736384372614378, -0.11267598236768242, 0.3394296189131093, -0.06276366517056514, -0.12153155997354728, 0.15686937270305343, -0.2007754801714752, -0.11469774680504453, 0.18416744847883926, 0.21786060650326503, 0.13030061335812737, -0.13952326118805017, 0.023351688853152315, 0.004246654559987305, 0.17715556307969424, 0.14145702965061324, 0.07258412360900292, 0.22471224683435484, 0.18542553680901327, -0.0046027916382461185, 0.15786891499955724, -0.16453243666634398, -0.020271904113954003, -0.20192881872755114, -0.1278494306139811, -0.1405546789866512, 0.051233741538055294, -0.011704234986091848, -0.06196543760597706, 0.4080822836526119, 0.1421927114214449, 0.1420333115791861, -0.08474322508367961, 0.3052792697193196, 0.0698437482037031, 0.07655431115388, 0.03846994557640563, 0.3218595681654249, 0.16670337025871515, 0.14585520684239828, -0.2464740933428933, 0.09707395090758937, -0.07676836348352886] |
711.4414 | Exploiting Multi-Antennas for Opportunistic Spectrum Sharing in
Cognitive Radio Networks | In cognitive radio (CR) networks, there are scenarios where the secondary
(lower priority) users intend to communicate with each other by
opportunistically utilizing the transmit spectrum originally allocated to the
existing primary (higher priority) users. For such a scenario, a secondary user
usually has to trade off between two conflicting goals at the same time: one is
to maximize its own transmit throughput; and the other is to minimize the
amount of interference it produces at each primary receiver. In this paper, we
study this fundamental tradeoff from an information-theoretic perspective by
characterizing the secondary user's channel capacity under both its own
transmit-power constraint as well as a set of interference-power constraints
each imposed at one of the primary receivers. In particular, this paper
exploits multi-antennas at the secondary transmitter to effectively balance
between spatial multiplexing for the secondary transmission and interference
avoidance at the primary receivers. Convex optimization techniques are used to
design algorithms for the optimal secondary transmit spatial spectrum that
achieves the capacity of the secondary transmission. Suboptimal solutions for
ease of implementation are also presented and their performances are compared
with the optimal solution. Furthermore, algorithms developed for the
single-channel transmission are also extended to the case of multi-channel
transmission whereby the secondary user is able to achieve opportunistic
spectrum sharing via transmit adaptations not only in space, but in time and
frequency domains as well.
| cs.IT math.IT | in cognitive radio cr networks there are scenarios where the secondary lower priority users intend to communicate with each other by opportunistically utilizing the transmit spectrum originally allocated to the existing primary higher priority users for such a scenario a secondary user usually has to trade off between two conflicting goals at the same time one is to maximize its own transmit throughput and the other is to minimize the amount of interference it produces at each primary receiver in this paper we study this fundamental tradeoff from an informationtheoretic perspective by characterizing the secondary users channel capacity under both its own transmitpower constraint as well as a set of interferencepower constraints each imposed at one of the primary receivers in particular this paper exploits multiantennas at the secondary transmitter to effectively balance between spatial multiplexing for the secondary transmission and interference avoidance at the primary receivers convex optimization techniques are used to design algorithms for the optimal secondary transmit spatial spectrum that achieves the capacity of the secondary transmission suboptimal solutions for ease of implementation are also presented and their performances are compared with the optimal solution furthermore algorithms developed for the singlechannel transmission are also extended to the case of multichannel transmission whereby the secondary user is able to achieve opportunistic spectrum sharing via transmit adaptations not only in space but in time and frequency domains as well | [['in', 'cognitive', 'radio', 'cr', 'networks', 'there', 'are', 'scenarios', 'where', 'the', 'secondary', 'lower', 'priority', 'users', 'intend', 'to', 'communicate', 'with', 'each', 'other', 'by', 'opportunistically', 'utilizing', 'the', 'transmit', 'spectrum', 'originally', 'allocated', 'to', 'the', 'existing', 'primary', 'higher', 'priority', 'users', 'for', 'such', 'a', 'scenario', 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0.06357326920387214, -0.039293195898442164] |
711.4415 | Static exteriors for nonstatic braneworld stars | We study possible static non-Schwarzschild exteriors for nonstatic
spherically symmetric stars in a Randall $&$ Sundrum type II braneworld
scenario. Thus, the vacuum region outside the surface of a star is assumed to
be a static solution to the equation $^{(4)}R = 0$, where $^{(4)}R $ is the
scalar curvature of the 4-dimensional Ricci tensor with spherical symmetry.
Firstly, we show that for nonstatic spheres the standard matching conditions
are much more restrictive than for static ones; they lead to a specific
requirement on the vacuum region outside of a nonstatic star, that is absent in
the case of static stars. Secondly, without making any assumption about the
bulk, or the material medium inside the star, we prove the following theorem on
the brane: for {\it any} nonstatic spherical star, without rotation, there are
only two possible static exteriors; these are the Schwarzschild and the
"Reissner-Nordstr{\"o}m-like" exteriors. This is quite distinct from the case
of stars in hydrostatic equilibrium which admit a much larger family of
non-Schwarzschild static exteriors.
| gr-qc | we study possible static nonschwarzschild exteriors for nonstatic spherically symmetric stars in a randall sundrum type ii braneworld scenario thus the vacuum region outside the surface of a star is assumed to be a static solution to the equation 4r 0 where 4r is the scalar curvature of the 4dimensional ricci tensor with spherical symmetry firstly we show that for nonstatic spheres the standard matching conditions are much more restrictive than for static ones they lead to a specific requirement on the vacuum region outside of a nonstatic star that is absent in the case of static stars secondly without making any assumption about the bulk or the material medium inside the star we prove the following theorem on the brane for it any nonstatic spherical star without rotation there are only two possible static exteriors these are the schwarzschild and the reissnernordstromlike exteriors this is quite distinct from the case of stars in hydrostatic equilibrium which admit a much larger family of nonschwarzschild static exteriors | [['we', 'study', 'possible', 'static', 'nonschwarzschild', 'exteriors', 'for', 'nonstatic', 'spherically', 'symmetric', 'stars', 'in', 'a', 'randall', 'sundrum', 'type', 'ii', 'braneworld', 'scenario', 'thus', 'the', 'vacuum', 'region', 'outside', 'the', 'surface', 'of', 'a', 'star', 'is', 'assumed', 'to', 'be', 'a', 'static', 'solution', 'to', 'the', 'equation', '4r', '0', 'where', '4r', 'is', 'the', 'scalar', 'curvature', 'of', 'the', '4dimensional', 'ricci', 'tensor', 'with', 'spherical', 'symmetry', 'firstly', 'we', 'show', 'that', 'for', 'nonstatic', 'spheres', 'the', 'standard', 'matching', 'conditions', 'are', 'much', 'more', 'restrictive', 'than', 'for', 'static', 'ones', 'they', 'lead', 'to', 'a', 'specific', 'requirement', 'on', 'the', 'vacuum', 'region', 'outside', 'of', 'a', 'nonstatic', 'star', 'that', 'is', 'absent', 'in', 'the', 'case', 'of', 'static', 'stars', 'secondly', 'without', 'making', 'any', 'assumption', 'about', 'the', 'bulk', 'or', 'the', 'material', 'medium', 'inside', 'the', 'star', 'we', 'prove', 'the', 'following', 'theorem', 'on', 'the', 'brane', 'for', 'it', 'any', 'nonstatic', 'spherical', 'star', 'without', 'rotation', 'there', 'are', 'only', 'two', 'possible', 'static', 'exteriors', 'these', 'are', 'the', 'schwarzschild', 'and', 'the', 'reissnernordstromlike', 'exteriors', 'this', 'is', 'quite', 'distinct', 'from', 'the', 'case', 'of', 'stars', 'in', 'hydrostatic', 'equilibrium', 'which', 'admit', 'a', 'much', 'larger', 'family', 'of', 'nonschwarzschild', 'static', 'exteriors']] | [-0.14538386951871105, 0.11813915397478156, -0.06451648821863513, 0.11034928839190875, -0.1383669081337593, -0.15897978308010308, -0.015718104477680052, 0.35333986173619525, -0.15158914046990404, -0.24782137723684491, 0.10568554167136415, -0.26182612212632883, -0.06518495044143624, 0.14362548820040447, -0.0657891683285377, -0.0257635534942958, 8.229216762694968e-07, 0.0949264064246048, -0.10287770532290395, -0.21404808671886932, 0.41548854720789985, -0.014406373887042323, 0.22162918853629604, 0.018570228911801635, 0.03336783731917301, -0.05275417815231864, 0.04369896478847185, 0.06834232891315078, -0.1751198296310522, 0.0223278843093641, 0.16577401759624705, 0.11941417520837747, 0.17241832074787783, -0.41236664453543814, -0.2424572080805763, 0.13727378752363106, 0.1297961876037564, 0.15017139749161068, -0.08289985154681427, -0.2659899945600878, 0.14818122620828988, -0.1657700826910448, -0.18664208090974926, -0.006013631088524519, 0.03504983142175409, -0.06594601098212402, -0.2556625374211335, 0.09772706487572315, 0.12450121973181166, -0.01722765032479719, -0.14656881439914726, -0.07200049634192543, -0.05060670687817037, 0.04849211951992643, 0.08118724649076361, 0.031162302674591004, 0.13440768127904712, -0.13978022453760874, -0.020867088956180512, 0.4204785433743031, -0.049093453111621436, -0.2537911881227046, 0.16965077416017563, -0.17978025227294203, -0.09620269329331994, 0.11819355930685604, 0.1095510973435187, 0.24997353929281516, -0.13768656592372894, 0.12098651429244138, -0.05003859222788049, 0.14656355310826147, 0.16100266901004767, -0.003555179180869137, 0.28377250746083277, 0.06954146701707897, 0.07509788623954876, 0.1630618161857072, -0.035642736807398226, -0.13976796792682641, -0.3215631822640278, -0.13675214757677168, -0.13368023697185857, 0.11273888984964375, -0.18868010234098576, -0.2097281032369517, 0.30463344245940077, 0.036259772975635235, 0.11910052383241401, 0.03919299292386543, 0.2748001504336001, 0.019637843582734286, 0.06647652893955538, 0.15907160549688276, 0.32963765900671843, 0.11079961809761688, 0.10976495261090886, -0.17749022285128574, -0.009515792444202465, 0.048227506790714095] |
711.4416 | Emergent spacetimes | We discuss the possibility that spacetime geometry may be an emergent
phenomenon. This idea has been motivated by the Analogue Gravity programme.
These are systems where the kinematics of small perturbations are dominated by
an effective gravitational field. In these models there is no obvious
connection between the "gravitational" field tensor and the Einstein equations,
as the emergent spacetime geometry arises as a consequence of linearising
around some classical field. After a brief introduction on this topic, we
present our recent contributions to the field.
| gr-qc | we discuss the possibility that spacetime geometry may be an emergent phenomenon this idea has been motivated by the analogue gravity programme these are systems where the kinematics of small perturbations are dominated by an effective gravitational field in these models there is no obvious connection between the gravitational field tensor and the einstein equations as the emergent spacetime geometry arises as a consequence of linearising around some classical field after a brief introduction on this topic we present our recent contributions to the field | [['we', 'discuss', 'the', 'possibility', 'that', 'spacetime', 'geometry', 'may', 'be', 'an', 'emergent', 'phenomenon', 'this', 'idea', 'has', 'been', 'motivated', 'by', 'the', 'analogue', 'gravity', 'programme', 'these', 'are', 'systems', 'where', 'the', 'kinematics', 'of', 'small', 'perturbations', 'are', 'dominated', 'by', 'an', 'effective', 'gravitational', 'field', 'in', 'these', 'models', 'there', 'is', 'no', 'obvious', 'connection', 'between', 'the', 'gravitational', 'field', 'tensor', 'and', 'the', 'einstein', 'equations', 'as', 'the', 'emergent', 'spacetime', 'geometry', 'arises', 'as', 'a', 'consequence', 'of', 'linearising', 'around', 'some', 'classical', 'field', 'after', 'a', 'brief', 'introduction', 'on', 'this', 'topic', 'we', 'present', 'our', 'recent', 'contributions', 'to', 'the', 'field']] | [-0.1825837343438145, 0.13803040636463693, -0.11705417404060854, 0.0954599636264474, -0.10957531021250522, -0.06744351507548024, -0.07359029972542297, 0.32346526099478495, -0.24761492095011123, -0.3025403210783706, 0.11476688952020862, -0.23731732227127342, -0.23902378237861044, 0.16690189446158268, -0.0714710861663608, -0.03442184337798287, -0.0269025935079245, 0.03331247066585895, -0.07239486286142731, -0.212442225184949, 0.40441049417919095, 0.09942442109322121, 0.21463969333973879, 0.03644076809287071, 0.09485601014183724, -0.01610600834931521, -0.04869928901248118, 0.07975588589906693, -0.11890203191065024, 0.0800554817323299, 0.20458465761146405, 0.1259265428819858, 0.2573447342304622, -0.4518633072209709, -0.25171380263260185, 0.0898167133112164, 0.12930965901023764, 0.18725838565596326, -0.11260178283760872, -0.30990569350474023, 0.0282497806036297, -0.16327791135648595, -0.1750281438121901, -0.0650734533501022, 0.06069839573191369, -0.0577080839258783, -0.1583232645835618, 0.0606005041349871, 0.08170323901645402, 0.0702504943289301, -0.06034012993914075, -0.07637330506216078, 0.03938030800234307, 0.0792838828473845, 0.13121646728695316, 0.07770887780386736, 0.112821156623335, -0.15185908019980965, -0.11060792064732489, 0.3763369186178726, -0.1026092857683954, -0.18048347499930328, 0.19298843024983345, -0.11683913329616188, -0.1212430990218897, 0.0953302576644894, 0.14120801283484874, 0.11590613534927423, -0.14825972114306163, 0.1501560571596629, -0.043018297174507204, 0.11936035485773841, 0.04536759032703498, 0.05253313535358757, 0.3315547870766536, 0.11955783710102824, 0.01448600720066358, 0.11633052224265959, -0.03053553124944515, -0.13336031100000528, -0.37718766182661057, -0.1341637225492912, -0.1356754556243472, 0.10611761934397852, -0.0874918383982731, -0.12965995215208215, 0.34168833876576493, 0.15344581255374257, 0.16562885369505023, -0.03435246942510061, 0.2630830571493682, 0.12847723358392935, 0.060549101646414354, 0.0620365896344404, 0.3177690834426732, 0.19447650733568211, 0.12657968041706172, -0.18954461532480577, -0.03249245342825923, 0.06167323890635196] |
711.4417 | Dalitz Plot Analysis of the Decay B0(B0bar) --> K+/- pi-/+ pi0 | We report a Dalitz-plot analysis of the charmless hadronic decays of neutral
B mesons to K^+/- pi^-/+ pi^0. With a sample of (231.8+/-2.6) 10^6 Upsilon(4S)
to B Bbar decays collected by the BABAR detector at the PEP-II
asymmetric-energy B Factory at SLAC, we measure the magnitudes and phases of
the intermediate resonant and nonresonant amplitudes for B0 and B0bar decays
and determine the corresponding CP-averaged branching fractions and charge
asymmetries. The inclusive branching fraction and CP-violating charge asymmetry
are measured to be BF(B0 --> K+ pi^- pi0)=(35.7-1.5+2.6 +/-2.2)10^(-6), and
A_CP=-0.030+0.045-0.051 +/-0.055 where the first errors are statistical and the
second systematic. We observe the decay B0 --> K^{*0}(892) pi^0 with the
branching fraction BF(B0 --> K^{*0}(892) pi^0)=(3.6_{-0.8}^{+0.7} +/-0.4)
10^{-6}. This measurement differs from zero by 5.6 standard deviations
(including the systematic uncertainties). The selected sample also contains B0
--> D^0bar pi^0 decays where D^0bar --> K+ pi-, and we measure BF(B0 --> D0bar
pi^0)=(2.93 +/- 0.17 +/-0.18) 10^{-4}.
| hep-ex | we report a dalitzplot analysis of the charmless hadronic decays of neutral b mesons to k pi pi0 with a sample of 231826 106 upsilon4s to b bbar decays collected by the babar detector at the pepii asymmetricenergy b factory at slac we measure the magnitudes and phases of the intermediate resonant and nonresonant amplitudes for b0 and b0bar decays and determine the corresponding cpaveraged branching fractions and charge asymmetries the inclusive branching fraction and cpviolating charge asymmetry are measured to be bfb0 k pi pi03571526 22106 and a_cp003000450051 0055 where the first errors are statistical and the second systematic we observe the decay b0 k0892 pi0 with the branching fraction bfb0 k0892 pi036_0807 04 106 this measurement differs from zero by 56 standard deviations including the systematic uncertainties the selected sample also contains b0 d0bar pi0 decays where d0bar k pi and we measure bfb0 d0bar pi0293 017 018 104 | [['we', 'report', 'a', 'dalitzplot', 'analysis', 'of', 'the', 'charmless', 'hadronic', 'decays', 'of', 'neutral', 'b', 'mesons', 'to', 'k', 'pi', 'pi0', 'with', 'a', 'sample', 'of', '231826', '106', 'upsilon4s', 'to', 'b', 'bbar', 'decays', 'collected', 'by', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'b', 'factory', 'at', 'slac', 'we', 'measure', 'the', 'magnitudes', 'and', 'phases', 'of', 'the', 'intermediate', 'resonant', 'and', 'nonresonant', 'amplitudes', 'for', 'b0', 'and', 'b0bar', 'decays', 'and', 'determine', 'the', 'corresponding', 'cpaveraged', 'branching', 'fractions', 'and', 'charge', 'asymmetries', 'the', 'inclusive', 'branching', 'fraction', 'and', 'cpviolating', 'charge', 'asymmetry', 'are', 'measured', 'to', 'be', 'bfb0', 'k', 'pi', 'pi03571526', '22106', 'and', 'a_cp003000450051', '0055', 'where', 'the', 'first', 'errors', 'are', 'statistical', 'and', 'the', 'second', 'systematic', 'we', 'observe', 'the', 'decay', 'b0', 'k0892', 'pi0', 'with', 'the', 'branching', 'fraction', 'bfb0', 'k0892', 'pi036_0807', '04', '106', 'this', 'measurement', 'differs', 'from', 'zero', 'by', '56', 'standard', 'deviations', 'including', 'the', 'systematic', 'uncertainties', 'the', 'selected', 'sample', 'also', 'contains', 'b0', 'd0bar', 'pi0', 'decays', 'where', 'd0bar', 'k', 'pi', 'and', 'we', 'measure', 'bfb0', 'd0bar', 'pi0293', '017', '018', '104']] | [-0.09277506387142208, 0.28833343293879116, -0.05931525142092643, 0.05434350255989181, -0.02224110288802406, -0.12223773662900103, 0.2096839388109872, 0.2276052315623082, -0.17884442067608752, -0.23916778838711567, -0.08653552745677659, -0.49486945119911224, 0.11033388566996517, 0.10155223166281037, 0.12105260195676237, 0.13917332535673832, 0.11148773030666956, -0.03671370152512501, -0.06737813464012639, -0.14202589998262583, 0.13460046481983415, -0.06264457805885067, 0.20581807525635792, 0.041202907331673234, -0.06571682778925732, -0.022739405641011123, -0.08889935159541923, -0.11138144864797078, -0.23856512918618733, -0.051842093634708174, 0.23161444704064393, 0.10289059974100634, 0.05716847848660987, -0.26295036111490655, 0.12294300517131543, 0.2325638456747803, 0.17240163875294143, 0.00941600895422543, 0.009715422056615353, -0.44901092420492705, 0.2151816426583662, -0.16684665767283274, 6.237587538258783e-05, -0.04154640687308435, 0.1311877139940344, -0.13959026198577265, -0.42747725890628224, 0.1631456435061911, -0.12056884218713847, 0.10609615245785821, 0.019486702413394532, -0.35632702994224585, -0.004884945447074956, -0.04392904132476141, 0.07469076812267303, 0.15071298785764595, 0.26708747840903957, -0.021007974513862604, -0.16101611513194852, 0.3834417498277115, -0.09750689254463489, -0.10026608045245039, 0.10110831258754278, -0.3290299129111347, -0.1461391104610059, 0.2516462452051326, 0.27742666612411365, 0.011040039787647025, -0.2232101613527228, 0.11895434029424434, 0.002429644403786495, 0.18785845189644346, 0.1014981081612922, 0.10002252483933137, 0.1432868312426104, 0.17289174477136213, -0.052893266024003766, 0.052420553929525715, -0.19446646833214268, 0.0316201144187101, -0.42580662948673526, -0.12779645190156738, 0.012998026859914434, 0.14006460125734707, -0.044094842777422885, -0.026144032779246054, 0.3267462927462726, 0.003231655630475745, 0.3866640330003253, 0.02907770155639998, 0.331989369136763, 0.07778280839034966, -0.0261157940820277, 0.07086797143525347, 0.33372993980823407, 0.26530800298948226, 0.15171404592532278, -0.3610116252019311, 0.03171590275890374, -0.05582509621012362] |
711.4418 | A pumped atom laser | We present the experimental realization of a pumped atom laser. We
demonstrate the pumping through measurements of the source and laser-mode atom
numbers, making a rate equation study of the pumping process.
| physics.atom-ph | we present the experimental realization of a pumped atom laser we demonstrate the pumping through measurements of the source and lasermode atom numbers making a rate equation study of the pumping process | [['we', 'present', 'the', 'experimental', 'realization', 'of', 'a', 'pumped', 'atom', 'laser', 'we', 'demonstrate', 'the', 'pumping', 'through', 'measurements', 'of', 'the', 'source', 'and', 'lasermode', 'atom', 'numbers', 'making', 'a', 'rate', 'equation', 'study', 'of', 'the', 'pumping', 'process']] | [-0.193068370208024, 0.15508605605892598, -0.03831665872806503, -0.07939529877629896, 0.009569587967088145, -0.11141531076282263, 0.15486196340662578, 0.42228939744733995, -0.2571771804603838, -0.25058077480043134, 0.06564824880972024, -0.30291111899479745, -0.04689767091504989, 0.2454068410781122, 0.04986266875939985, 0.05681897439588342, 0.09667717297411253, -0.0507359670234784, 0.030208680207931226, -0.1323860716074705, 0.29128470632337755, 0.06433119339447829, 0.2985703614991038, 0.0672426491735443, 0.1884039050989574, -0.01750736353137801, 0.027023294670206886, -0.10496618262221737, -0.15650744937480457, 0.12636489457180422, 0.1910459053131842, 0.04958403579169704, 0.21818812600066584, -0.4649458621298113, -0.19376099635396274, 0.04757583637030855, 0.1066708111114079, 0.23564731209508835, -0.1631161219049846, -0.28537190333008766, -0.06237812651201121, -0.18018353778508403, -0.12352947067589529, -0.0524516309641542, -0.0029046704632139974, 0.07222501345489535, -0.31858526518748653, 0.007600350786120661, 0.04054108971068936, 0.07725015562027693, -0.0903682264709665, -0.005143482718736895, -0.009274752990853402, 0.019902000444069985, -0.03526508727114678, -0.010708188255047124, 0.22656588716011855, -0.18246004766514223, -0.12821645962615166, 0.3871396508428358, -0.16979557474053675, -0.1238502214452432, 0.09174208222858367, -0.2065405571652997, -0.033051723404036414, 0.0748871682632354, 0.1134870064354712, 0.17531733695537813, -0.10023094416265527, -0.0037278565596939334, -0.04313424998714078, 0.22358171985064063, 0.08199507818226853, 0.07465781241415008, 0.1849436684241218, 0.252526983198139, 0.009216332207283667, 0.2607701389539626, -0.15673836915483397, -0.07525692243249185, -0.32478308245058984, -0.20798024991827627, -0.20223489199434558, 0.1216715459726871, 0.02055907058726711, -0.05750288273538313, 0.4085353254190376, 0.21942948393764033, 0.15956979220913303, -0.042338901349613746, 0.32732695461280886, 0.22388505127145758, -0.006449601928433103, -0.0385299667475685, 0.25802143771321545, 0.18159250194777646, 0.06724925962607226, -0.3103401571992905, -0.0005523225089775458, -0.005616553277978974] |
711.4419 | Non-trivalent graph cocycle and cohomology of the long knot space | In this paper we show that via the configuration space integral construction
a non-trivalent graph cocycle can also yield a non-zero cohomology class of the
space of higher (and even) codimensional long knots. This simultaneously proves
that the Browder operation induced by the operad action defined by R. Budney is
not trivial.
| math.GT math.AT | in this paper we show that via the configuration space integral construction a nontrivalent graph cocycle can also yield a nonzero cohomology class of the space of higher and even codimensional long knots this simultaneously proves that the browder operation induced by the operad action defined by r budney is not trivial | [['in', 'this', 'paper', 'we', 'show', 'that', 'via', 'the', 'configuration', 'space', 'integral', 'construction', 'a', 'nontrivalent', 'graph', 'cocycle', 'can', 'also', 'yield', 'a', 'nonzero', 'cohomology', 'class', 'of', 'the', 'space', 'of', 'higher', 'and', 'even', 'codimensional', 'long', 'knots', 'this', 'simultaneously', 'proves', 'that', 'the', 'browder', 'operation', 'induced', 'by', 'the', 'operad', 'action', 'defined', 'by', 'r', 'budney', 'is', 'not', 'trivial']] | [-0.2272860137387537, 0.1372796451816192, -0.08717600514109318, 0.05311084415790482, -0.07958023679944184, -0.11814064691917828, -0.008122153233181542, 0.3748770050274638, -0.3393410319337048, -0.25403479042534644, 0.1116759385577797, -0.1413129953882442, -0.2120713630082229, 0.17525362880685583, -0.15351768006355718, -0.04457167579004398, 0.10864473653670687, 0.06680099554180813, -0.0786306252837396, -0.2638602456701427, 0.3975570061458991, 0.026952145755505905, 0.19520340508853012, 0.036559397265171774, 0.12103737491326264, 0.018240502480274208, -0.010090382769703865, 0.04695041925319506, -0.14979249721783652, 0.11847290086846513, 0.27536761495642936, 0.03197265566828159, 0.1946725075921187, -0.32975001620630234, -0.1653895345466131, 0.18493110963474743, 0.12852007969139287, 0.023985606618225574, -0.0031173781026154757, -0.27033812344933933, 0.1153706548234018, -0.22658882573103675, -0.10658242064528167, -0.10787344326336797, 0.0539049212462627, -0.027897920531149093, -0.2301831149514048, -0.03563698596833721, 0.13199082864537978, 0.06774788917615436, -0.030927010489484437, -0.03815477396039149, -0.09076443353954416, 0.07654823935948886, -0.01727207062783866, 0.08990655251993583, 0.07757523343361054, -0.08966796547890855, -0.1268029181071772, 0.3421026615676685, -0.12217419531393367, -0.2140546848710913, 0.10534654546063393, -0.19296169929349652, -0.18197197167990872, 0.16929236573811907, 0.009143269585015682, 0.17402316277058652, -0.060625323112337634, 0.190751172851798, -0.08923371693191047, 0.0777761612015848, 0.09087335056840228, 0.019258667849219188, 0.1348287449666084, 0.06833428100575335, 0.1271937170621151, 0.1657504634707808, 0.0059074141586629245, -0.02273809813106289, -0.32556407643446267, -0.19495673278456357, -0.17249173182062805, 0.11845078744255051, -0.08579052688275204, -0.1444697895158942, 0.38985573520095873, 0.07025401076176561, 0.18058536578050385, 0.1167089176686624, 0.25596969241562945, 0.07487076803898582, 0.09874264313181741, 0.07337257150524798, 0.16148210578383163, 0.10609948408539192, 0.021591154410718724, -0.1562704014000841, 0.023734319323781304, 0.21826253412291408] |
711.442 | Accreting neutron star spins and the equation of state | X-ray timing of neutron stars in low-mass X-ray binaries (LMXBs) with RXTE
has since 1996 revealed several distinct high-frequency phenomena. Among these
are oscillations during thermonuclear (type-I) bursts, which (in addition to
persistent X-ray pulsations) are thought to trace the neutron star spin. Recent
discoveries bring the total number of measured LMXB spin rates to 22. An open
question is why the majority of the ~100 known neutron stars in LMXBs show
neither pulsations nor burst oscillations.
Recent observations suggest that persistent pulsations may be more common
than previously thought, although detectable intermittently, and in some cases
at very low duty cycles. For example, the 377.3 Hz pulsations in HETE
J1900.1-2455 were only present in the first few months of it's outburst, and
have been absent since (although X-ray activity continues). Intermittent
(persistent) pulsations have since been detected in a further two sources. In
two of these three systems the pulsations appear to be related to the
thermonuclear burst activity, but in the third (Aql X-1) they are not. This
phenomenon offers new opportunities for spin measurements in known systems.
Such measurements can constrain the poorly-known neutron star equation of
state, and neutron stars in LMXBs offer observational advantages over
rotation-powered pulsars which make the detection of more rapidly-spinning
examples more likely. Even so, spin rates of at least 50% faster than the
present maximum appear necessary to give constraints stringent enough to
discriminate between the various models. Although the future prospects for such
rapidly-spinning objects do not appear optimistic, several additional
observational approaches are possible for LMXBs.
| astro-ph | xray timing of neutron stars in lowmass xray binaries lmxbs with rxte has since 1996 revealed several distinct highfrequency phenomena among these are oscillations during thermonuclear typei bursts which in addition to persistent xray pulsations are thought to trace the neutron star spin recent discoveries bring the total number of measured lmxb spin rates to 22 an open question is why the majority of the 100 known neutron stars in lmxbs show neither pulsations nor burst oscillations recent observations suggest that persistent pulsations may be more common than previously thought although detectable intermittently and in some cases at very low duty cycles for example the 3773 hz pulsations in hete j190012455 were only present in the first few months of its outburst and have been absent since although xray activity continues intermittent persistent pulsations have since been detected in a further two sources in two of these three systems the pulsations appear to be related to the thermonuclear burst activity but in the third aql x1 they are not this phenomenon offers new opportunities for spin measurements in known systems such measurements can constrain the poorlyknown neutron star equation of state and neutron stars in lmxbs offer observational advantages over rotationpowered pulsars which make the detection of more rapidlyspinning examples more likely even so spin rates of at least 50 faster than the present maximum appear necessary to give constraints stringent enough to discriminate between the various models although the future prospects for such rapidlyspinning objects do not appear optimistic several additional observational approaches are possible for lmxbs | [['xray', 'timing', 'of', 'neutron', 'stars', 'in', 'lowmass', 'xray', 'binaries', 'lmxbs', 'with', 'rxte', 'has', 'since', '1996', 'revealed', 'several', 'distinct', 'highfrequency', 'phenomena', 'among', 'these', 'are', 'oscillations', 'during', 'thermonuclear', 'typei', 'bursts', 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711.4421 | Sequestering CP Violation and GIM-Violation with Warped Extra Dimensions | We propose a model of spontaneous CP violation to address the strong CP
problem in warped extra dimensions that relies on sequestering flavor and CP
violation. We assume that brane-localized Higgs Yukawa interactions respect a
U(3) flavor symmetry that is broken only by bulk fermion mass and Yukawa terms.
All CP violation arises from the vev of a CP-odd scalar field localized in the
bulk. To suppress radiative corrections to theta-bar, the doublet quarks in
this model are localized on the IR brane. We calculate constraints from
flavor-changing neutral currents (FCNCs), precision electroweak measurements,
CKM unitarity, and the electric dipole moments in this model and predict
theta-bar to be at least about 10^-12.
| hep-th hep-ph | we propose a model of spontaneous cp violation to address the strong cp problem in warped extra dimensions that relies on sequestering flavor and cp violation we assume that branelocalized higgs yukawa interactions respect a u3 flavor symmetry that is broken only by bulk fermion mass and yukawa terms all cp violation arises from the vev of a cpodd scalar field localized in the bulk to suppress radiative corrections to thetabar the doublet quarks in this model are localized on the ir brane we calculate constraints from flavorchanging neutral currents fcncs precision electroweak measurements ckm unitarity and the electric dipole moments in this model and predict thetabar to be at least about 1012 | [['we', 'propose', 'a', 'model', 'of', 'spontaneous', 'cp', 'violation', 'to', 'address', 'the', 'strong', 'cp', 'problem', 'in', 'warped', 'extra', 'dimensions', 'that', 'relies', 'on', 'sequestering', 'flavor', 'and', 'cp', 'violation', 'we', 'assume', 'that', 'branelocalized', 'higgs', 'yukawa', 'interactions', 'respect', 'a', 'u3', 'flavor', 'symmetry', 'that', 'is', 'broken', 'only', 'by', 'bulk', 'fermion', 'mass', 'and', 'yukawa', 'terms', 'all', 'cp', 'violation', 'arises', 'from', 'the', 'vev', 'of', 'a', 'cpodd', 'scalar', 'field', 'localized', 'in', 'the', 'bulk', 'to', 'suppress', 'radiative', 'corrections', 'to', 'thetabar', 'the', 'doublet', 'quarks', 'in', 'this', 'model', 'are', 'localized', 'on', 'the', 'ir', 'brane', 'we', 'calculate', 'constraints', 'from', 'flavorchanging', 'neutral', 'currents', 'fcncs', 'precision', 'electroweak', 'measurements', 'ckm', 'unitarity', 'and', 'the', 'electric', 'dipole', 'moments', 'in', 'this', 'model', 'and', 'predict', 'thetabar', 'to', 'be', 'at', 'least', 'about', '1012']] | [-0.1457799234493446, 0.2849918491808714, 0.0486040691596835, 0.15193812331839968, -0.11640808019638721, -0.21138152370097496, 0.08141815335390908, 0.29045903423092273, -0.1981559377864201, -0.27254478355500833, 0.024041037818013106, -0.2856172110753513, -0.026471521363354625, -0.003597342135153909, 0.04328901760807607, 0.012523431643077164, -0.03673348223081732, -0.03373616623931226, -0.11458954284486847, -0.19121907162274013, 0.3009252720223987, -0.04643687202422097, 0.22784621576753866, 0.15287393183793577, 0.03345618595109544, -0.06764637641773551, 0.011854945723198156, -0.07881718203095736, -0.06976499638938194, 0.0728107069040014, 0.10912062677315774, 0.054472147470620354, 0.03616046685049624, -0.40030660631909837, -0.1291973992349761, 0.1834465798641662, 0.14056686184624523, 0.1567196208134755, -0.0667744664067353, -0.35272383516802724, 0.06803907339040817, -0.1746975296894006, -0.1202294719652726, -0.12199163880298096, -0.07931886910794682, -0.19624902225569285, -0.4137474450785502, 0.13866567621584489, -0.06309621739077621, 0.02576892579744974, 0.03319196860858165, -0.14099834542989367, -0.09265820772914563, -0.018909776125894447, 0.24424931047117518, 0.024863016902905915, 0.17249832688975025, -0.21158622710324773, -0.14371769059453554, 0.4563585593513485, -0.13752293825742945, -0.20680443238491703, 0.10808330807097352, -0.21167422385589607, -0.19958971736260353, 0.1215914736205168, 0.2052985937375806, 0.07083383146096515, -0.20318573233115164, 0.23528454744306485, -0.07240599505932985, 0.17958368869514857, 0.07860171728544926, 0.05807475373148918, 0.3040149759220998, 0.11707001584952911, 0.08700274505479409, 0.020456374489982505, -0.0342665725898624, -0.0670236430246284, -0.4332741833687554, -0.11629065373228385, -0.10240507126781694, 0.0959676018734751, -0.10533392135892475, -0.08894549354713048, 0.41573429145990354, 0.15948169391635245, 0.18610809983240556, -0.01610279445942343, 0.28056443023775596, 0.07656313611536526, 0.11684265592036587, 0.03631165935410665, 0.35300116643177726, 0.15799150036429507, 0.12695365878176437, -0.3339868420116867, -0.022474464090887162, 0.12973759752755934] |
711.4422 | Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity | We present a new class of slowly rotating black hole solutions in
$(n+1)$-dimensional $(n\geq3)$ Einstein-Maxwell-dilaton gravity in the presence
of Liouville-type potential for the dilaton field and an arbitrary value of the
dilaton coupling constant. Because of the presence of the dilaton field, the
asymptotic behaviour of these solutions are neither flat nor (A)dS. In the
absence of a dilaton field, our solution reduces to the $(n+1)$-dimensional
Kerr-Newman modification thereof for small rotation parameter \cite{Aliev2}. We
also compute the angular momentum and the gyromagnetic ratio of these rotating
dilaton black holes.
| hep-th | we present a new class of slowly rotating black hole solutions in n1dimensional ngeq3 einsteinmaxwelldilaton gravity in the presence of liouvilletype potential for the dilaton field and an arbitrary value of the dilaton coupling constant because of the presence of the dilaton field the asymptotic behaviour of these solutions are neither flat nor ads in the absence of a dilaton field our solution reduces to the n1dimensional kerrnewman modification thereof for small rotation parameter citealiev2 we also compute the angular momentum and the gyromagnetic ratio of these rotating dilaton black holes | [['we', 'present', 'a', 'new', 'class', 'of', 'slowly', 'rotating', 'black', 'hole', 'solutions', 'in', 'n1dimensional', 'ngeq3', 'einsteinmaxwelldilaton', 'gravity', 'in', 'the', 'presence', 'of', 'liouvilletype', 'potential', 'for', 'the', 'dilaton', 'field', 'and', 'an', 'arbitrary', 'value', 'of', 'the', 'dilaton', 'coupling', 'constant', 'because', 'of', 'the', 'presence', 'of', 'the', 'dilaton', 'field', 'the', 'asymptotic', 'behaviour', 'of', 'these', 'solutions', 'are', 'neither', 'flat', 'nor', 'ads', 'in', 'the', 'absence', 'of', 'a', 'dilaton', 'field', 'our', 'solution', 'reduces', 'to', 'the', 'n1dimensional', 'kerrnewman', 'modification', 'thereof', 'for', 'small', 'rotation', 'parameter', 'citealiev2', 'we', 'also', 'compute', 'the', 'angular', 'momentum', 'and', 'the', 'gyromagnetic', 'ratio', 'of', 'these', 'rotating', 'dilaton', 'black', 'holes']] | [-0.2322911140922871, 0.102797847082224, -0.00829348506198989, 0.07265144010177917, -0.13099415780355533, -0.18844836693671013, -0.025010074351707268, 0.2642483807272381, -0.13959584403783082, -0.2851140484563075, 0.07697312901081103, -0.2883997088091241, -0.08816754477512505, 0.1411914146401816, -0.06259492153508796, 0.04007279632820023, -0.07206117097909252, 0.056780089334481296, -0.09591505052651175, -0.21867190909882386, 0.4168996810499165, 0.032818501577195194, 0.2179660361363656, 0.010719027727221449, 0.10082243788056075, -0.0022429411920408407, 0.07027228661916322, 0.0810592597686789, -0.16461440352723003, 0.060958983935415746, 0.15799668509927062, 0.06711293119523261, 0.17351701735622352, -0.3687847909414106, -0.19924337230622768, 0.11109955257011785, 0.18600526872970577, 0.1767274562890331, -0.15221359555402564, -0.25137884898318186, 0.04598655791746246, -0.17668699918366554, -0.239036300429143, -0.10375058752381139, 0.08902822744178897, -0.030710415505907602, -0.2548157558207297, 0.12809007749601733, 0.06629024655040767, -0.04384443447407749, -0.19679723604866822, -0.03671890840762192, -0.05561806740394483, 0.05738569028261635, 0.23531160909268592, 0.06925548929721118, 0.15708825622892214, -0.18743906683909398, -0.0617438444453809, 0.31312048089587025, -0.1644705562438402, -0.2952993172945248, 0.11910571849180593, -0.23394177911492686, -0.07428766502481368, 0.11384488285208742, 0.18278500719332239, 0.24233848110048306, -0.1001931930685209, 0.23978866154405598, 0.009077172343515688, 0.17542285147743922, 0.12727296809251937, 0.0721876666829404, 0.36216967961647445, 0.06323636540522178, 0.007915722896965842, 0.17864465858373377, -0.05375805550461842, -0.1082281006500125, -0.3727386287517018, -0.1640440675843921, -0.11309566334174533, 0.1358105821889088, -0.276027647964333, -0.23000620542508032, 0.3357841374559535, 0.07081601099732021, 0.13770252886331744, 0.0513954795897007, 0.21288572755959953, 0.08889219847430165, 0.037228855043132274, 0.134293213321103, 0.37891103012694255, 0.1594736539525911, 0.1486775052190448, -0.32098638764065174, -0.1116480874725514, 0.09749497475309504] |
711.4423 | Hawking-Moss Tunneling in Noncommutative Eternal Inflation | The quantum behavior of noncommutative eternal inflation is quite different
from the usual knowledge. Unlike the usual eternal inflation, the quantum
fluctuation of noncommutative eternal inflation is suppressed by the Hubble
parameter. Due to this, we need to reconsider many conceptions of eternal
inflation. In this paper we study the Hawking-Moss tunneling in noncommutative
eternal inflation using the stochastic approach. We obtain a brand-new form of
the tunneling probability for this process and find that the Hawking-Moss
tunneling is more unlikely to take place in the noncommutative case than in the
usual one. We also conclude that the lifetime of a metastable de-Sitter (dS)
vacuum in the noncommutative spacetime is longer than that in the commutative
case.
| gr-qc astro-ph hep-ph hep-th | the quantum behavior of noncommutative eternal inflation is quite different from the usual knowledge unlike the usual eternal inflation the quantum fluctuation of noncommutative eternal inflation is suppressed by the hubble parameter due to this we need to reconsider many conceptions of eternal inflation in this paper we study the hawkingmoss tunneling in noncommutative eternal inflation using the stochastic approach we obtain a brandnew form of the tunneling probability for this process and find that the hawkingmoss tunneling is more unlikely to take place in the noncommutative case than in the usual one we also conclude that the lifetime of a metastable desitter ds vacuum in the noncommutative spacetime is longer than that in the commutative case | [['the', 'quantum', 'behavior', 'of', 'noncommutative', 'eternal', 'inflation', 'is', 'quite', 'different', 'from', 'the', 'usual', 'knowledge', 'unlike', 'the', 'usual', 'eternal', 'inflation', 'the', 'quantum', 'fluctuation', 'of', 'noncommutative', 'eternal', 'inflation', 'is', 'suppressed', 'by', 'the', 'hubble', 'parameter', 'due', 'to', 'this', 'we', 'need', 'to', 'reconsider', 'many', 'conceptions', 'of', 'eternal', 'inflation', 'in', 'this', 'paper', 'we', 'study', 'the', 'hawkingmoss', 'tunneling', 'in', 'noncommutative', 'eternal', 'inflation', 'using', 'the', 'stochastic', 'approach', 'we', 'obtain', 'a', 'brandnew', 'form', 'of', 'the', 'tunneling', 'probability', 'for', 'this', 'process', 'and', 'find', 'that', 'the', 'hawkingmoss', 'tunneling', 'is', 'more', 'unlikely', 'to', 'take', 'place', 'in', 'the', 'noncommutative', 'case', 'than', 'in', 'the', 'usual', 'one', 'we', 'also', 'conclude', 'that', 'the', 'lifetime', 'of', 'a', 'metastable', 'desitter', 'ds', 'vacuum', 'in', 'the', 'noncommutative', 'spacetime', 'is', 'longer', 'than', 'that', 'in', 'the', 'commutative', 'case']] | [-0.1254826058448555, 0.19988405897130823, -0.14563357974920008, 0.1803058584646351, -0.0799099859327842, -0.15587876378120774, 0.0015113282855202118, 0.26314977856559885, -0.2265281586183442, -0.21117162593823469, 0.0622469081193145, -0.22357685410847458, -0.14890665352408194, 0.15659508424309584, -0.12455112358125356, -0.018156013443556607, 4.7530897327850005e-05, 0.06093449018195144, -0.04787678415011455, -0.2780842080704358, 0.37818827906734925, 0.07825718136130172, 0.2501701733105394, -0.02713768192493301, 0.03837318355456377, -0.017256071508472037, 0.021299974523229986, -0.008704219506973894, -0.22550522873836568, 0.0731437144936341, 0.21056023745749813, 0.11864964591546191, 0.26883510523276705, -0.4369936824226991, -0.2224131963080448, 0.18612192194256136, 0.16607413076348881, 0.1764521464649747, -0.020580821848324198, -0.28216148550327647, 0.03626309254238557, -0.18978293276586944, -0.08772979060219777, -0.047630748719486415, 0.005645863767554108, -0.1287916396251028, -0.23556909353957853, 0.09340378789516747, 0.050080230348130576, -0.042930331765713856, -0.051524086521031, 0.027498543035621062, 0.027144100325994003, -0.0008906746187653297, 0.12982671828836034, 0.025058588870745312, 0.13509196367783424, -0.09799276704852207, -0.13589106246821073, 0.3446356052628312, -0.10165976822245906, -0.13498638889107567, 0.10000672934350008, -0.22295090676341048, -0.12958534475431865, 0.10212184132960363, 0.027428515908173006, 0.1589517432073943, -0.11469368838792683, 0.20588582881445733, 0.05056597039294548, 0.08792675485531999, 0.1394358291828002, 0.05199649079869955, 0.2644775536420763, 0.1328205994537307, 0.0530050248420065, 0.14987086245997083, -0.01642200417227597, -0.2329082321276108, -0.37799026826635385, -0.152825629306782, -0.14322872199595738, 0.15461256004607257, -0.156258562348786, -0.2154035187827853, 0.36102068985207403, 0.20416789091168305, 0.2031001737102484, 0.02643744381638164, 0.2869572400823872, 0.10711938902162589, 0.03570500934799003, 0.01687201771001594, 0.3017117065918815, 0.0679618095457713, 0.1762219716150027, -0.22122237948167464, 0.005745997724051659, 0.06760183705860733] |
711.4424 | Bright-dark solitons and their collisions in mixed N-coupled nonlinear
Schr\"odinger equations | Mixed type (bright-dark) soliton solutions of the integrable N-coupled
nonlinear Schr{\"o}dinger (CNLS) equations with mixed signs of focusing and
defocusing type nonlinearity coefficients are obtained by using Hirota's
bilinearization method. Generally, for the mixed N-CNLS equations the bright
and dark solitons can be split up in $(N-1)$ ways. By analysing the collision
dynamics of these coupled bright and dark solitons systematically we point out
that for $N>2$, if the bright solitons appear in at least two components,
non-trivial effects like onset of intensity redistribution, amplitude dependent
phase-shift and change in relative separation distance take place in the bright
solitons during collision. However their counterparts, the dark solitons,
undergo elastic collision but experience the same amplitude dependent
phase-shift as that of bright solitons. Thus in the mixed CNLS system there
co-exist shape changing collision of bright solitons and elastic collision of
dark solitons with amplitude dependent phase-shift, thereby influencing each
other mutually in an intricate way.
| nlin.SI | mixed type brightdark soliton solutions of the integrable ncoupled nonlinear schrodinger cnls equations with mixed signs of focusing and defocusing type nonlinearity coefficients are obtained by using hirotas bilinearization method generally for the mixed ncnls equations the bright and dark solitons can be split up in n1 ways by analysing the collision dynamics of these coupled bright and dark solitons systematically we point out that for n2 if the bright solitons appear in at least two components nontrivial effects like onset of intensity redistribution amplitude dependent phaseshift and change in relative separation distance take place in the bright solitons during collision however their counterparts the dark solitons undergo elastic collision but experience the same amplitude dependent phaseshift as that of bright solitons thus in the mixed cnls system there coexist shape changing collision of bright solitons and elastic collision of dark solitons with amplitude dependent phaseshift thereby influencing each other mutually in an intricate way | [['mixed', 'type', 'brightdark', 'soliton', 'solutions', 'of', 'the', 'integrable', 'ncoupled', 'nonlinear', 'schrodinger', 'cnls', 'equations', 'with', 'mixed', 'signs', 'of', 'focusing', 'and', 'defocusing', 'type', 'nonlinearity', 'coefficients', 'are', 'obtained', 'by', 'using', 'hirotas', 'bilinearization', 'method', 'generally', 'for', 'the', 'mixed', 'ncnls', 'equations', 'the', 'bright', 'and', 'dark', 'solitons', 'can', 'be', 'split', 'up', 'in', 'n1', 'ways', 'by', 'analysing', 'the', 'collision', 'dynamics', 'of', 'these', 'coupled', 'bright', 'and', 'dark', 'solitons', 'systematically', 'we', 'point', 'out', 'that', 'for', 'n2', 'if', 'the', 'bright', 'solitons', 'appear', 'in', 'at', 'least', 'two', 'components', 'nontrivial', 'effects', 'like', 'onset', 'of', 'intensity', 'redistribution', 'amplitude', 'dependent', 'phaseshift', 'and', 'change', 'in', 'relative', 'separation', 'distance', 'take', 'place', 'in', 'the', 'bright', 'solitons', 'during', 'collision', 'however', 'their', 'counterparts', 'the', 'dark', 'solitons', 'undergo', 'elastic', 'collision', 'but', 'experience', 'the', 'same', 'amplitude', 'dependent', 'phaseshift', 'as', 'that', 'of', 'bright', 'solitons', 'thus', 'in', 'the', 'mixed', 'cnls', 'system', 'there', 'coexist', 'shape', 'changing', 'collision', 'of', 'bright', 'solitons', 'and', 'elastic', 'collision', 'of', 'dark', 'solitons', 'with', 'amplitude', 'dependent', 'phaseshift', 'thereby', 'influencing', 'each', 'other', 'mutually', 'in', 'an', 'intricate', 'way']] | [-0.18881973864770701, 0.17192708369877036, -0.12655341480979576, 0.10183442762429983, -0.07806151773906828, -0.18746615828365668, -0.059205225789798546, 0.3706870360674893, -0.240847882766325, -0.27739967592060566, 0.07131473069206219, -0.29021768142354326, -0.09711198535953443, 0.15139766249128364, 0.06204338572532326, 0.011908411967580194, 0.06167913809745246, -0.007301824477307692, -0.02849964900758698, -0.23180901361085088, 0.36430890769879154, -0.054023570018252, 0.2409371330959166, -0.012526847954307283, 0.07133497839662029, 0.028145116017587096, -0.00644905594715776, -0.04738105599490273, -0.13329991508825598, 0.03043468962363028, 0.23139587188496363, -0.011377127100290223, 0.18733583557020342, -0.4540134296304994, -0.20763424416254092, 0.13959493960991695, 0.24014653639063577, 0.13505223699446237, -0.04837358573942246, -0.35342557315847706, -0.0053583219671597725, -0.11069024672471713, -0.20747613538564605, -0.03775109341005226, 0.06964969274575834, 0.12532814637101677, -0.19857236171631118, 0.1628442421410378, 0.0572620208676872, -0.008141517645207706, -0.12470623962210746, -0.06067640370275075, -0.09548184879474922, -0.0008655668144846069, 0.023293557930616784, -0.05092792250760287, 0.08446919750656581, -0.1575707793583513, -0.0881956674509331, 0.370287632672479, -0.12376852869812109, -0.17186234967613762, 0.17269480535186005, -0.07545240874728792, -0.07318265972259853, 0.21713848184346668, 0.17723582558599965, 0.10985606388860177, -0.07338405005307264, 0.0008515952855753773, 0.0248997396617136, 0.1899257431960704, 0.1931481484951929, 0.09921721011769123, 0.246396022794357, 0.13913631494846437, 0.05781392270033724, 0.09739930596914712, -0.05182006999596276, -0.13480412250523782, -0.31110374168069527, -0.036272214864707227, -0.11762509955540783, 0.0014776329195441364, -0.09094143437186494, -0.13878370926098585, 0.36085559987741245, 0.033397133979196476, 0.17119789245998027, -0.047853605186736044, 0.2528224476044635, 0.16889861018575317, 0.04087500602714476, 0.06708610003705245, 0.3022799407171279, 0.13191109319677116, 0.14847050144869303, -0.2889370726324715, -0.04596703317562154, 0.032647869519453934] |
711.4425 | Positive and negative effective mass of classical particles in
oscillatory and static fields | A classical particle oscillating in an arbitrary high-frequency or static
field effectively exhibits a modified rest mass m_eff derived from the particle
averaged Lagrangian. Relativistic ponderomotive and diamagnetic forces, as well
as magnetic drifts, are obtained from the m_eff dependence on the guiding
center location and velocity. The effective mass is not necessarily positive
and can result in backward acceleration when an additional perturbation force
is applied. As an example, adiabatic dynamics with m_|| > 0 and m_|| < 0 is
demonstrated for a wave-driven particle along a dc magnetic field, m_|| being
the effective longitudinal mass derived from m_eff. Multiple energy states are
realized in this case, yielding up to three branches of m_|| for a given
magnetic moment and parallel velocity.
| physics.plasm-ph | a classical particle oscillating in an arbitrary highfrequency or static field effectively exhibits a modified rest mass m_eff derived from the particle averaged lagrangian relativistic ponderomotive and diamagnetic forces as well as magnetic drifts are obtained from the m_eff dependence on the guiding center location and velocity the effective mass is not necessarily positive and can result in backward acceleration when an additional perturbation force is applied as an example adiabatic dynamics with m_ 0 and m_ 0 is demonstrated for a wavedriven particle along a dc magnetic field m_ being the effective longitudinal mass derived from m_eff multiple energy states are realized in this case yielding up to three branches of m_ for a given magnetic moment and parallel velocity | [['a', 'classical', 'particle', 'oscillating', 'in', 'an', 'arbitrary', 'highfrequency', 'or', 'static', 'field', 'effectively', 'exhibits', 'a', 'modified', 'rest', 'mass', 'm_eff', 'derived', 'from', 'the', 'particle', 'averaged', 'lagrangian', 'relativistic', 'ponderomotive', 'and', 'diamagnetic', 'forces', 'as', 'well', 'as', 'magnetic', 'drifts', 'are', 'obtained', 'from', 'the', 'm_eff', 'dependence', 'on', 'the', 'guiding', 'center', 'location', 'and', 'velocity', 'the', 'effective', 'mass', 'is', 'not', 'necessarily', 'positive', 'and', 'can', 'result', 'in', 'backward', 'acceleration', 'when', 'an', 'additional', 'perturbation', 'force', 'is', 'applied', 'as', 'an', 'example', 'adiabatic', 'dynamics', 'with', 'm_', '0', 'and', 'm_', '0', 'is', 'demonstrated', 'for', 'a', 'wavedriven', 'particle', 'along', 'a', 'dc', 'magnetic', 'field', 'm_', 'being', 'the', 'effective', 'longitudinal', 'mass', 'derived', 'from', 'm_eff', 'multiple', 'energy', 'states', 'are', 'realized', 'in', 'this', 'case', 'yielding', 'up', 'to', 'three', 'branches', 'of', 'm_', 'for', 'a', 'given', 'magnetic', 'moment', 'and', 'parallel', 'velocity']] | [-0.15149183257305918, 0.22783802691132718, -0.05627320772652661, 0.10051751737809964, -0.04817616449253372, -0.11778287837004736, -0.04175703064682855, 0.37221825076651965, -0.24181909072559235, -0.3322381936167636, 0.03266884887413976, -0.2417842075228691, -0.030903124752693065, 0.2421348452662341, 0.007701900072803736, 0.00946509080923601, -0.0034554046944307148, 0.09778722601919627, -0.05052432858900837, -0.13224132946299866, 0.30340170085214635, 0.03638678463560737, 0.21838715636702485, 0.03429758265106515, 0.13649965288340737, 0.005166823331128098, 0.02743374006312787, 0.06200559942575156, -0.1088418824028624, -0.009446530559096363, 0.15575434902128726, 0.00998243950461307, 0.2320675954168801, -0.36703247266767686, -0.17168253348478354, 0.05279886161846932, 0.1877722361833165, 0.12845763146938863, -0.10893180711610505, -0.27607352466491814, 0.025090506331117684, -0.15834463274198746, -0.18359712908460088, -0.024481920055921907, 0.043101708252706435, 0.060032154333369794, -0.3294369123726006, 0.15942810593732856, 0.0499868914802474, 0.08583174823698672, -0.11995380839779357, -0.12043404763118049, -0.07703020582398908, 0.07351167347741097, 0.11017536415241289, 0.12460644698166866, 0.22775819015589135, -0.12859807505026027, -0.05725510979132835, 0.36718917835103576, -0.11876153466214757, -0.1993787792657525, 0.17087897409353991, -0.14128150871747042, -0.06001145002039627, 0.13666365113040077, 0.15067772771239527, 0.11661710173722879, -0.16385328001787688, 0.09871255691607737, 0.017340311984539277, 0.15558767769474166, 0.08110991071848091, -0.028210445268710783, 0.27236806141012465, 0.0830437492171287, 0.09890585206833875, 0.06562322673911214, -0.131548657114733, -0.08011756713448231, -0.2859491520827782, -0.11197282731810138, -0.17178695094733198, 0.10304700309415021, -0.11147865250046184, -0.14914876401562951, 0.3380309994802002, 0.09722549852575724, 0.2162005526421607, 0.05776103371985195, 0.3320868011286929, 0.17771523918144497, 0.07554403326124404, 0.11489658912428277, 0.2674451817196509, 0.17862652820219432, 0.11949085825592402, -0.2510454735799485, -0.03249502700391756, 0.0416568913997328] |
711.4426 | On the cycle structure of hamiltonian k-regular bipartite graphs of
order 4k | It is shown that a hamiltonian $n/2$-regular bipartite graph $G$ of order
$2n>8$ contains a cycle of length $2n-2$. Moreover, if such a cycle can be
chosen to omit a pair of adjacent vertices, then $G$ is bipancyclic.
| math.CO | it is shown that a hamiltonian n2regular bipartite graph g of order 2n8 contains a cycle of length 2n2 moreover if such a cycle can be chosen to omit a pair of adjacent vertices then g is bipancyclic | [['it', 'is', 'shown', 'that', 'a', 'hamiltonian', 'n2regular', 'bipartite', 'graph', 'g', 'of', 'order', '2n8', 'contains', 'a', 'cycle', 'of', 'length', '2n2', 'moreover', 'if', 'such', 'a', 'cycle', 'can', 'be', 'chosen', 'to', 'omit', 'a', 'pair', 'of', 'adjacent', 'vertices', 'then', 'g', 'is', 'bipancyclic']] | [-0.25158137802626135, 0.22125864404448736, -0.05935078320672383, 0.0062537415871849735, -0.10104540799039642, -0.1719482304478014, 0.006601603173122213, 0.4227197339405885, -0.2745334894673244, -0.2685573088206552, 0.05651002042498943, -0.32511931506765857, -0.17542142330391988, 0.08467835087228466, -0.07224334369891801, -0.057840617058949696, 0.18339639684386752, 0.22996386412430453, 0.060947119340149535, -0.282593592187245, 0.2351149171590805, -0.08473847328206978, 0.11156412468266648, 0.06440516255443564, 0.11325263064606367, 0.006329968559077462, 0.08415605989914085, 0.13543127507374092, -0.14359601557579654, 0.016065873878982825, 0.24771617013155608, 0.14693340754790887, 0.24261413345969207, -0.3671199643128627, -0.1708563222169146, 0.23534001654165015, 0.09449597479574182, 0.052213609866747585, 0.0948329844788925, -0.14448348780137463, 0.15929280641815952, -0.14072900361104593, -0.0963683124077884, 0.03097977119221075, 0.1602683481131051, -0.03726794532928113, -0.33658786495593757, -0.07997661489187866, 0.11622801966763832, 0.008108368848223944, 0.17275222607359692, -0.08537221020811263, -0.16610820067895427, 0.12083764369221958, -0.09066079361867663, 0.13488374755252153, 0.05695074426035422, -0.041764537872262045, -0.13145984395885388, 0.42589224482307564, -0.055123475908830356, -0.1552809976871956, 0.10395963468299424, -0.11386046858152023, -0.1460218893968173, 0.127153713293877, 0.05848331527935492, 0.14140502472936706, -0.1190680904515289, 0.11922087198173678, -0.11193181211883957, 0.20385433844215162, 0.1295212134970604, 0.008820348356321856, 0.13342602118044286, 0.13796345621498451, 0.212400923004827, 0.16881658833763385, 0.016589858443350404, 0.06635909930274293, -0.33692944291475657, -0.10600890058747216, -0.28338087019133, 0.15449447364143626, -0.14042049724407293, -0.18939980998166484, 0.45256681211695476, 0.07828341141292774, 0.16158677156813242, 9.282021405729088e-05, 0.20874627420326342, 0.11166817684834068, 0.09921940532827599, 0.15290484299279145, 0.13151764557571025, 0.17181727946169573, -0.1320274146525441, -0.16725593590102084, 0.02006390263527833, 0.18647215787220645] |
711.4427 | Szemeredi-Trotter type theorem and sum-product estimate in finite fields | We study a Szemer\'edi-Trotter type theorem in finite fields. We then use
this theorem to obtain an improved sum-product estimate in finite fields.
| math.CO | we study a szemereditrotter type theorem in finite fields we then use this theorem to obtain an improved sumproduct estimate in finite fields | [['we', 'study', 'a', 'szemereditrotter', 'type', 'theorem', 'in', 'finite', 'fields', 'we', 'then', 'use', 'this', 'theorem', 'to', 'obtain', 'an', 'improved', 'sumproduct', 'estimate', 'in', 'finite', 'fields']] | [-0.10207100892844408, 0.05756045412841638, -0.17506698535188384, 0.16336064665760522, -0.11388899353535278, -0.09195662984300566, 0.1214193440163913, 0.3314661006240741, -0.2900096940929475, -0.18603601731845867, 0.1113232945031284, -0.1720251612689184, -0.11968580353245868, 0.2379234837287146, -0.1633640171798027, -0.08714208401658613, 0.036000856805754745, 0.0519655293420605, -0.10192562898863917, -0.31529929667063383, 0.27726443597803946, -0.10254186197467473, 0.2839577385912771, 0.12520459569666698, 0.10612107072349476, 0.10552197188624869, -0.0291570237149363, 0.01704279730177444, -0.23071427542068387, 0.13013274462529176, 0.2675546655512374, 0.0988523414277512, 0.282988700043896, -0.39747131405317265, -0.19833819114643594, 0.1993610391838719, 0.12340205510997254, 0.1941226610265996, -0.06604031465299752, -0.2389934373938519, 0.20157185055153526, -0.19576551303591416, -0.25538545101881027, -0.07205467719746672, -0.04144006663852412, 0.04486605653579792, -0.3315992983786956, 0.03366817610905222, 0.17623629183103534, 0.13055722666499409, -0.08320444304010143, -0.061363503984783005, 0.13907435066674068, 0.05992674619040411, 0.009935685473939648, 0.058630979407335755, -0.005017488668470279, -0.09397766867693028, -0.14477521296509582, 0.23755199186827824, -0.18215125252533218, -0.20277383686650707, 0.11857998184859753, -0.07950442883631458, -0.1836734608463619, 0.03517259066195592, 0.2815041124172833, 0.19952825238199337, -0.12087796991893454, 0.15743201286734446, -0.125651265292064, 0.1012377806979677, 0.08865683898329735, 0.013144100773269716, 0.013156504532241303, 0.07333520346361658, 0.11230637801244207, 0.196253915803264, -0.056558654420887644, -0.001417107070269792, -0.33002638201350754, -0.19824839027031607, -0.17581517105598166, 0.15316624817964825, -0.1581461707777951, -0.24276773538440466, 0.3414399614152701, 0.19938806934363168, 0.12249155310185059, 0.09728378178956716, 0.24661421192728955, 0.17915560973241276, 0.025091860828030367, 0.07642751089904619, 0.1883715624394624, 0.32273702161467593, 0.03482360570974972, -0.08132323491103623, -0.13172100431731212, 0.22538902821100276] |
711.4428 | Relativistic corrections to transition frequencies of Fe I and search
for variation of the fine structure constant | Relativistic energy shifts of the low energy levels of Fe have been
calculated using the Dirac-Hartree-Fock and configuration interaction
techniques. The results are to be used in the search for the space-time
variation of the fine structure constant in quasar absorption spectra. The
values of the shifts are the largest among those used in the analysis so far.
This makes Fe a good candidate for the inclusion into the analysis.
| physics.atom-ph | relativistic energy shifts of the low energy levels of fe have been calculated using the dirachartreefock and configuration interaction techniques the results are to be used in the search for the spacetime variation of the fine structure constant in quasar absorption spectra the values of the shifts are the largest among those used in the analysis so far this makes fe a good candidate for the inclusion into the analysis | [['relativistic', 'energy', 'shifts', 'of', 'the', 'low', 'energy', 'levels', 'of', 'fe', 'have', 'been', 'calculated', 'using', 'the', 'dirachartreefock', 'and', 'configuration', 'interaction', 'techniques', 'the', 'results', 'are', 'to', 'be', 'used', 'in', 'the', 'search', 'for', 'the', 'spacetime', 'variation', 'of', 'the', 'fine', 'structure', 'constant', 'in', 'quasar', 'absorption', 'spectra', 'the', 'values', 'of', 'the', 'shifts', 'are', 'the', 'largest', 'among', 'those', 'used', 'in', 'the', 'analysis', 'so', 'far', 'this', 'makes', 'fe', 'a', 'good', 'candidate', 'for', 'the', 'inclusion', 'into', 'the', 'analysis']] | [-0.06499771845660039, 0.08483609434749399, -0.05337610635241227, 0.12037650101119653, -0.028927739952424807, -0.06341167591911341, 0.012649958743713796, 0.4157553307712078, -0.22774545064062945, -0.35244991591732416, 0.0492469756814119, -0.31214689537882806, -0.04101819849706122, 0.1768754954416571, 0.07057723329801645, 0.017049028037165823, 0.0402319598876472, 0.02284105398160006, -0.06909796116607529, -0.16702267284604855, 0.3103380449914506, 0.1263144599406847, 0.267627976462245, 0.038882693062935555, 0.01846921815137778, -0.01873899232596159, -0.03661926247711692, 0.07715546185416834, -0.12308877032649304, 0.1381066327116319, 0.24161059537519966, 0.06818131630508495, 0.23587877982894756, -0.35698034491922176, -0.21268679526069068, 0.07570673263232623, 0.10992864485430931, 0.15638334501002515, -0.03597547517025045, -0.2641859828361443, 0.07384869275348527, -0.12802763960457275, -0.11957654690902147, -0.06700577480452401, 0.003142694410468851, 0.06471425560968262, -0.22851749859234718, 0.040583587800418694, -0.002769831075732197, 0.049805641626673086, -0.1344990821688303, -0.16048396741306142, -0.05528912847595555, 0.15643261968424277, 0.045493064005859195, -0.024282639852858015, 0.0897004744370601, -0.09009206261419292, -0.08008927165397577, 0.43341975350465095, -0.09512117888246263, -0.14032042815815657, 0.14886790723872503, -0.1491636987509472, -0.15522891411424747, 0.21319927663675375, 0.13455195693698313, 0.13026541779483003, -0.12510558904364838, 0.10181312615209857, 0.013934987198029245, 0.18161404845637402, 0.039558055158704516, 0.07041670461850506, 0.18106654110763754, 0.11677194588950703, -0.003868669135096882, 0.08799458238728611, -0.15826225965616425, -0.06337716602387705, -0.2651612250400441, -0.13550606993958353, -0.16118964765753066, -0.00020279210044204125, -0.08138143623759138, -0.15705300115847162, 0.40506041780380264, 0.12610168560807195, 0.2286401361193774, -0.06155799486940461, 0.2977721652016044, 0.16392145486814635, 0.11694558941692645, 0.06009759212444935, 0.34104693536812974, 0.14437429902276822, 0.11621538156510464, -0.24584066049428657, 0.07413896906322666, 0.04912942910034742] |
711.4429 | How do diquark fluctuations and chiral soft modes affect di-lepton
production in the deconfined phase? | We examine diquark fluctuations and chiral soft modes existing in the
precritical region of color superconductivity and chiral transition,
respectively, at finite temperature and density. We evaluate how they
contribute to anomalous di-lepton production; although there appear peaks in
the spectral function owing to the existence of the soft modes, the enhancement
of the production rate may not be so prominent to be a clear signal of the
phsase transitions.
| hep-ph nucl-ex nucl-th | we examine diquark fluctuations and chiral soft modes existing in the precritical region of color superconductivity and chiral transition respectively at finite temperature and density we evaluate how they contribute to anomalous dilepton production although there appear peaks in the spectral function owing to the existence of the soft modes the enhancement of the production rate may not be so prominent to be a clear signal of the phsase transitions | [['we', 'examine', 'diquark', 'fluctuations', 'and', 'chiral', 'soft', 'modes', 'existing', 'in', 'the', 'precritical', 'region', 'of', 'color', 'superconductivity', 'and', 'chiral', 'transition', 'respectively', 'at', 'finite', 'temperature', 'and', 'density', 'we', 'evaluate', 'how', 'they', 'contribute', 'to', 'anomalous', 'dilepton', 'production', 'although', 'there', 'appear', 'peaks', 'in', 'the', 'spectral', 'function', 'owing', 'to', 'the', 'existence', 'of', 'the', 'soft', 'modes', 'the', 'enhancement', 'of', 'the', 'production', 'rate', 'may', 'not', 'be', 'so', 'prominent', 'to', 'be', 'a', 'clear', 'signal', 'of', 'the', 'phsase', 'transitions']] | [-0.11502583839836111, 0.22864944408850177, -0.11978020004091272, 0.1033076245094771, -0.03753719088769909, -0.08286483760626204, 0.05858840397896542, 0.38575657513802464, -0.21769316189718244, -0.24681024032010548, 0.037791734665929194, -0.3247270855404761, -0.09666936369477838, 0.057980704715178494, 0.0073030345319885, 0.01021287347311559, -0.050812436470195003, 0.0346407025674547, -0.058897112629484334, -0.17321607940222905, 0.3051643211232579, 0.008492837835481201, 0.29511979937661387, 0.1951183577311104, -0.0009772919955244963, -0.04385756450853702, 0.01666748066318046, -0.008901329792064169, -0.11834258197442345, 0.01880920447571122, 0.2788744755764154, 0.03675290356403676, 0.13706279875359673, -0.3889294548054644, -0.18501648931777565, 0.14553459093609042, 0.1894763103969719, 0.09645766713588998, -0.054418086668179516, -0.23924731217540693, 0.10644513167326163, -0.14579243389079752, -0.12071309370947057, -0.08877676057264856, 0.0033422721333909726, -0.03374532405017079, -0.26336837722582446, 0.15522244476807723, 0.04248583648164851, 0.030491746639292112, -0.030301252913161898, -0.12214576086515318, -0.08512099187794155, 0.0891422676799846, 0.09995960827538933, 0.03977380720628561, 0.18186246983679957, -0.19261963771007856, -0.13358581954262394, 0.3419683551874714, -0.0939341109023308, -0.09456567062685887, 0.2160900032006042, -0.20024281298822683, -0.1284933749154426, 0.1996310859972584, 0.19467830822627613, 0.07858578263498518, -0.10172338177706453, 0.026830441646608593, 0.04801366613685167, 0.18168451231094482, 0.07411835047051958, 0.12900128748699807, 0.2771606476896483, 0.13347469977832035, -0.005539967462528443, 0.12888485975091116, -0.1226360718112277, -0.059094686628035874, -0.3274910021573305, -0.11346814877933999, -0.13761917139956917, -0.0021067998619611794, -0.03964863513006687, -0.18054488147406475, 0.4095006358904251, 0.16003517361578828, 0.24839210118828475, -0.04242476334363438, 0.26170586093423376, 0.1817283514968079, 0.12727731227388847, 0.070838483252927, 0.3295710150665347, 0.1585021588202242, 0.10800727929555527, -0.2858177696125231, 0.020496842612519158, -0.013712707120736224] |
711.443 | Nanomechanical Spin-Polarizer | Torsional oscillations of a free-standing semiconductor beam are shown to
cause spin-dependent oscillating potentials that spin-polarize an applied
charge current in the presence of intentional or disorder scattering
potentials. We propose several realizations of mechanical spin generators and
manipulators based on this piezo-spintronic effect.
| cond-mat.mes-hall | torsional oscillations of a freestanding semiconductor beam are shown to cause spindependent oscillating potentials that spinpolarize an applied charge current in the presence of intentional or disorder scattering potentials we propose several realizations of mechanical spin generators and manipulators based on this piezospintronic effect | [['torsional', 'oscillations', 'of', 'a', 'freestanding', 'semiconductor', 'beam', 'are', 'shown', 'to', 'cause', 'spindependent', 'oscillating', 'potentials', 'that', 'spinpolarize', 'an', 'applied', 'charge', 'current', 'in', 'the', 'presence', 'of', 'intentional', 'or', 'disorder', 'scattering', 'potentials', 'we', 'propose', 'several', 'realizations', 'of', 'mechanical', 'spin', 'generators', 'and', 'manipulators', 'based', 'on', 'this', 'piezospintronic', 'effect']] | [-0.21118478696867402, 0.20351335869087384, -0.01582868244837631, 0.0028254568275191227, -0.06552053899080916, -0.1656173707980832, -0.008214146322147413, 0.41704183918508614, -0.2334979253567078, -0.24389576365832577, -0.014820906844265251, -0.282823939553716, -0.1945062618152323, 0.18884198845427652, -0.03698543984104286, 0.0625792823266238, -0.011657431404190984, -0.04512445107949051, -0.0493891392252408, -0.1663056771186265, 0.2846811825875193, 0.009970760946585373, 0.32912648598324845, 0.08467602459925481, 0.0712511563800614, 0.040088197703219274, 0.10952379846606743, 0.0012814788655801253, -0.10259363786909406, 0.0624029763804918, 0.17917799067006193, -0.10743832445322452, 0.18111828605602073, -0.5561207324605096, -0.19906947196630592, 0.1061628474007276, 0.13320121803024615, 0.20910017533143135, -0.10651312497793697, -0.29415646008353424, -0.013874846637587656, -0.1686372373845767, -0.1399132203607058, -0.1090213098372756, 0.017072788206860423, 0.05552965629083866, -0.27038940440186043, 0.08104779401963408, 0.07673702857308937, 0.08326288846067408, -0.08957537523978813, -0.10479651630686765, -0.023558245802467518, 0.02176803604974835, 0.06454340787604451, -0.028205370625735006, 0.24654122718228874, -0.0973262391846881, -0.18304162846073846, 0.35557665083218704, -0.03729052949612113, -0.23412638212109663, 0.15079394804144447, -0.12451993513175032, -0.046624480418606916, 0.10998178933831779, 0.17536164293150333, 0.0834461885123429, -0.18758771883916447, 0.020956661042873748, 0.06807973193512722, 0.14617885909022085, 0.10152704843362285, 0.05436740056823262, 0.2604757958218794, 0.17533623848364435, 0.055129132730971, 0.12210218068949788, -0.1208630046881312, -0.019053165377541023, -0.25091225298290903, -0.07648559926416386, -0.1782465796621347, 0.11128635780716484, 0.008131878911213293, -0.23306127128770723, 0.41424850645390426, 0.18894239796579562, 0.1397727363192561, -0.06926134933548217, 0.2572429906788536, 0.08404475488615307, 0.08869039868427948, -0.02634297974873334, 0.2766847124386748, 0.19660049744627692, 0.07891564950643276, -0.3098761397837238, 0.024932124704884536, -0.0351478869561106] |
711.4431 | The clustering of SDSS galaxy groups: mass and color dependence | We use a sample of galaxy groups selected from the SDSS DR 4 with an adaptive
halo-based group finder to probe how the clustering strength of groups depends
on their masses and colors. In particular, we determine the relative biases of
groups of different masses, as well as that of groups with the same mass but
with different colors. In agreement with previous studies, we find that more
massive groups are more strongly clustered, and the inferred mass dependence of
the halo bias is in good agreement with predictions for the $\Lambda$CDM
cosmology. Regarding the color dependence, we find that groups with red
centrals are more strongly clustered than groups of the same mass but with blue
centrals. Similar results are obtained when the color of a group is defined to
be the total color of its member galaxies. The color dependence is more
prominent in less massive groups and becomes insignificant in groups with
masses $\gta 10^{14}\msunh$. We construct a mock galaxy redshift survey
constructed from the large Millenium simulation that is populated with galaxies
according to the semi-analytical model of Croton et al. Applying our group
finder to this mock survey, and analyzing the mock data in exactly the same way
as the true data, we are able to accurately recover the intrinsic mass and
color dependencies of the halo bias in the model. This suggests that our group
finding algorithm and our method of assigning group masses do not induce
spurious mass and/or color dependencies in the group-galaxy correlation
function. The semi-analytical model reveals the same color dependence of the
halo bias as we find in our group catalogue. In halos with $M\sim
10^{12}\msunh$, though, the strength of the color dependence is much stronger
in the model than in the data.
| astro-ph | we use a sample of galaxy groups selected from the sdss dr 4 with an adaptive halobased group finder to probe how the clustering strength of groups depends on their masses and colors in particular we determine the relative biases of groups of different masses as well as that of groups with the same mass but with different colors in agreement with previous studies we find that more massive groups are more strongly clustered and the inferred mass dependence of the halo bias is in good agreement with predictions for the lambdacdm cosmology regarding the color dependence we find that groups with red centrals are more strongly clustered than groups of the same mass but with blue centrals similar results are obtained when the color of a group is defined to be the total color of its member galaxies the color dependence is more prominent in less massive groups and becomes insignificant in groups with masses gta 1014msunh we construct a mock galaxy redshift survey constructed from the large millenium simulation that is populated with galaxies according to the semianalytical model of croton et al applying our group finder to this mock survey and analyzing the mock data in exactly the same way as the true data we are able to accurately recover the intrinsic mass and color dependencies of the halo bias in the model this suggests that our group finding algorithm and our method of assigning group masses do not induce spurious mass andor color dependencies in the groupgalaxy correlation function the semianalytical model reveals the same color dependence of the halo bias as we find in our group catalogue in halos with msim 1012msunh though the strength of the color dependence is much stronger in the model than in the data | [['we', 'use', 'a', 'sample', 'of', 'galaxy', 'groups', 'selected', 'from', 'the', 'sdss', 'dr', '4', 'with', 'an', 'adaptive', 'halobased', 'group', 'finder', 'to', 'probe', 'how', 'the', 'clustering', 'strength', 'of', 'groups', 'depends', 'on', 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'dependence', 'is', 'more', 'prominent', 'in', 'less', 'massive', 'groups', 'and', 'becomes', 'insignificant', 'in', 'groups', 'with', 'masses', 'gta', '1014msunh', 'we', 'construct', 'a', 'mock', 'galaxy', 'redshift', 'survey', 'constructed', 'from', 'the', 'large', 'millenium', 'simulation', 'that', 'is', 'populated', 'with', 'galaxies', 'according', 'to', 'the', 'semianalytical', 'model', 'of', 'croton', 'et', 'al', 'applying', 'our', 'group', 'finder', 'to', 'this', 'mock', 'survey', 'and', 'analyzing', 'the', 'mock', 'data', 'in', 'exactly', 'the', 'same', 'way', 'as', 'the', 'true', 'data', 'we', 'are', 'able', 'to', 'accurately', 'recover', 'the', 'intrinsic', 'mass', 'and', 'color', 'dependencies', 'of', 'the', 'halo', 'bias', 'in', 'the', 'model', 'this', 'suggests', 'that', 'our', 'group', 'finding', 'algorithm', 'and', 'our', 'method', 'of', 'assigning', 'group', 'masses', 'do', 'not', 'induce', 'spurious', 'mass', 'andor', 'color', 'dependencies', 'in', 'the', 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711.4432 | Generalized Christoffel-Darboux formula for classical skew-orthogonal
polynomials | We show that skew-orthogonal functions, defined with respect to Jacobi weight
$w_{a,b}(x)={(1-x)}^a{(1+x)}^b$, $a$, $b>-1$, including the limiting cases of
Laguerre ($w_{a}(x)=x^{a}e^{-x}$, $a > -1$) and Gaussian weight
($w(x)=e^{-x^2}$), satisfy three-term recursion relation in the quaternion
space. From this, we derive generalized Christoffel-Darboux (GCD) formul\ae\
for kernel functions arising in the study of the corresponding orthogonal and
symplectic ensembles of random $2N\times 2N$ matrices. Using the GCD formul\ae
we calculate the level-densities and prove that in the bulk of the spectrum,
under appropriate scaling, the eigenvalue correlations are universal. We also
provide evidence to show that there exists a mapping between skew-orthogonal
functions arising in the study of orthogonal and symplectic ensembles of random
matrices.
| math-ph math.MP | we show that skeworthogonal functions defined with respect to jacobi weight w_abx1xa1xb a b1 including the limiting cases of laguerre w_axxaex a 1 and gaussian weight wxex2 satisfy threeterm recursion relation in the quaternion space from this we derive generalized christoffeldarboux gcd formulae for kernel functions arising in the study of the corresponding orthogonal and symplectic ensembles of random 2ntimes 2n matrices using the gcd formulae we calculate the leveldensities and prove that in the bulk of the spectrum under appropriate scaling the eigenvalue correlations are universal we also provide evidence to show that there exists a mapping between skeworthogonal functions arising in the study of orthogonal and symplectic ensembles of random matrices | [['we', 'show', 'that', 'skeworthogonal', 'functions', 'defined', 'with', 'respect', 'to', 'jacobi', 'weight', 'w_abx1xa1xb', 'a', 'b1', 'including', 'the', 'limiting', 'cases', 'of', 'laguerre', 'w_axxaex', 'a', '1', 'and', 'gaussian', 'weight', 'wxex2', 'satisfy', 'threeterm', 'recursion', 'relation', 'in', 'the', 'quaternion', 'space', 'from', 'this', 'we', 'derive', 'generalized', 'christoffeldarboux', 'gcd', 'formulae', 'for', 'kernel', 'functions', 'arising', 'in', 'the', 'study', 'of', 'the', 'corresponding', 'orthogonal', 'and', 'symplectic', 'ensembles', 'of', 'random', '2ntimes', '2n', 'matrices', 'using', 'the', 'gcd', 'formulae', 'we', 'calculate', 'the', 'leveldensities', 'and', 'prove', 'that', 'in', 'the', 'bulk', 'of', 'the', 'spectrum', 'under', 'appropriate', 'scaling', 'the', 'eigenvalue', 'correlations', 'are', 'universal', 'we', 'also', 'provide', 'evidence', 'to', 'show', 'that', 'there', 'exists', 'a', 'mapping', 'between', 'skeworthogonal', 'functions', 'arising', 'in', 'the', 'study', 'of', 'orthogonal', 'and', 'symplectic', 'ensembles', 'of', 'random', 'matrices']] | [-0.1569893468692557, 0.10362189930157176, -0.08098783273967582, 0.10676885358113454, -0.0056354873813688755, -0.11958613417136969, 0.01418612565665822, 0.37160527108049174, -0.2941367512914873, -0.1729097399383211, 0.0703872532088207, -0.2650898377487966, -0.23259923474888805, 0.1715361967003571, -0.009135837008783577, 0.07842219662809864, 0.048288269649866385, 0.037584299950298654, -0.2144794587853339, -0.19463771273309383, 0.40029481010631135, -0.019912788752304098, 0.23995461085930878, -0.004671473067292277, 0.10681257173077228, 0.023144831923648305, -0.0472996447837715, -0.080652268032198, -0.14660809391039079, 0.12207904302967934, 0.23258896226409412, 0.13512317392197565, 0.19845106426710285, -0.3854345428424144, -0.12978748877537052, 0.19618068941347644, 0.14956870005645473, 0.020397618929898248, -0.0006171030466607131, -0.21034475399283778, 0.092670440932158, -0.14174179500396097, -0.19842795469294036, -0.0987107974152431, 0.0033595808867125884, 0.1076515685860922, -0.32064022824441624, 0.08751564203529755, 0.08718170792530847, 0.06372842167017109, -0.024537701813350302, -0.19144812848743634, 0.026085377303422044, 0.08520875660565878, -0.0024837973023499917, -0.022422083446311705, 0.035419295704282754, -0.08364232499451471, -0.09494057746279404, 0.3647870272996092, -0.04720294376442192, -0.28367381336150366, 0.09621443999760332, -0.17479056034476384, -0.18488149772133303, 0.05901059281901209, 0.13405858806266083, 0.07308897841721773, -0.09514815814861464, 0.14334183769223682, -0.1119729725626904, 0.08737884983078602, 0.1493179272697948, 0.031499952509349914, 0.1017082180793679, -0.02220580707637405, 0.05548941740796073, 0.211537250101891, -0.02766873516620846, -0.12724291300828303, -0.31435612821524295, -0.17385871226497746, -0.20263160886285708, 0.09415022764833422, -0.1865003852108536, -0.2149482834315218, 0.39385094812755056, 0.0925938291026604, 0.22059429473662323, 0.15869175095042778, 0.19752585289277855, 0.198084900523066, 0.06340196651808165, 0.08578155585351067, 0.12253074171961448, 0.23737162799326653, -0.005530028532679971, -0.19014180331798528, -0.032948949834045636, 0.1518841525796083] |
711.4433 | The Architecture of a Novel Weighted Network: Knowledge Network | Networked structure emerged from a wide range of fields such as biological
systems, World Wide Web and technological infrastructure. A deeply insight into
the topological complexity of these networks has been gained. Some works start
to pay attention to the weighted network, like the world-wide airport network
and the collaboration network, where links are not binary, but have
intensities. Here, we construct a novel knowledge network, through which we
take the first step to uncover the topological structure of the knowledge
system. Furthermore, the network is extended to the weighted one by assigning
weights to the edges. Thus, we also investigate the relationship between the
intensity of edges and the topological structure. These results provide a novel
description to understand the hierarchies and organizational principles in
knowledge system, and the interaction between the intensity of edges and
topological structure. This system also provides a good paradigm to study
weighted networks.
| physics.soc-ph | networked structure emerged from a wide range of fields such as biological systems world wide web and technological infrastructure a deeply insight into the topological complexity of these networks has been gained some works start to pay attention to the weighted network like the worldwide airport network and the collaboration network where links are not binary but have intensities here we construct a novel knowledge network through which we take the first step to uncover the topological structure of the knowledge system furthermore the network is extended to the weighted one by assigning weights to the edges thus we also investigate the relationship between the intensity of edges and the topological structure these results provide a novel description to understand the hierarchies and organizational principles in knowledge system and the interaction between the intensity of edges and topological structure this system also provides a good paradigm to study weighted networks | [['networked', 'structure', 'emerged', 'from', 'a', 'wide', 'range', 'of', 'fields', 'such', 'as', 'biological', 'systems', 'world', 'wide', 'web', 'and', 'technological', 'infrastructure', 'a', 'deeply', 'insight', 'into', 'the', 'topological', 'complexity', 'of', 'these', 'networks', 'has', 'been', 'gained', 'some', 'works', 'start', 'to', 'pay', 'attention', 'to', 'the', 'weighted', 'network', 'like', 'the', 'worldwide', 'airport', 'network', 'and', 'the', 'collaboration', 'network', 'where', 'links', 'are', 'not', 'binary', 'but', 'have', 'intensities', 'here', 'we', 'construct', 'a', 'novel', 'knowledge', 'network', 'through', 'which', 'we', 'take', 'the', 'first', 'step', 'to', 'uncover', 'the', 'topological', 'structure', 'of', 'the', 'knowledge', 'system', 'furthermore', 'the', 'network', 'is', 'extended', 'to', 'the', 'weighted', 'one', 'by', 'assigning', 'weights', 'to', 'the', 'edges', 'thus', 'we', 'also', 'investigate', 'the', 'relationship', 'between', 'the', 'intensity', 'of', 'edges', 'and', 'the', 'topological', 'structure', 'these', 'results', 'provide', 'a', 'novel', 'description', 'to', 'understand', 'the', 'hierarchies', 'and', 'organizational', 'principles', 'in', 'knowledge', 'system', 'and', 'the', 'interaction', 'between', 'the', 'intensity', 'of', 'edges', 'and', 'topological', 'structure', 'this', 'system', 'also', 'provides', 'a', 'good', 'paradigm', 'to', 'study', 'weighted', 'networks']] | [-0.12748830834558855, 0.05213674497635414, -0.06491517243285974, 0.06953080330354472, -0.12441788769947985, -0.09941328841882448, 0.07662008943036198, 0.41054215252399445, -0.31410765843776367, -0.3370728161558509, 0.06049192738952115, -0.26064984044525774, -0.23839957795493927, 0.14099644526839256, -0.03076049199948708, 0.04025450251530856, 0.05064422127557919, 0.04131629215963282, -0.024473884579104682, -0.21661494087272634, 0.36391212079053126, 0.055198936918750406, 0.3188240594882518, 0.09127710200225314, 0.0663886187968698, -0.017849218806562324, -0.017942721399012953, 0.018490678602053473, -0.12372268166393041, 0.17817154113824168, 0.2762946289222843, 0.15715276988067975, 0.29821086444581546, -0.4672109333301584, -0.2666179430671036, 0.1011160503855596, 0.09752633305576941, 0.09838347200537101, -0.016542527691150704, -0.3214318693716389, 0.09205628383594254, -0.18388139836334935, -0.07120963190371792, -0.10093491156740735, 0.0020976904911609987, 0.01687469785567373, -0.21180240225202093, -0.05436112355790101, 0.05500445656866456, 0.04127417237808307, -0.04050738280794273, -0.08165072660970812, -0.03982716957417627, 0.21790597429188588, -0.004086220259778201, 0.024073595125228168, 0.08989213263926407, -0.16184132833654682, -0.14056808694576223, 0.3742783549800515, 0.005977130077468852, -0.14960599534834423, 0.19449685870553368, -0.10842212546616793, -0.16040633393451573, 0.08288389165109644, 0.239919053632766, 0.04657718533456015, -0.17052034525355944, 0.03440459391490246, -0.03718398276095589, 0.1578785823766763, 0.017777276773316166, 0.08551211666005352, 0.22045339863126476, 0.23358941305118303, 0.08585059941125413, 0.13842008764389901, -0.07008004568827648, -0.12728676091103505, -0.21308862189451852, -0.15232253588348008, -0.17377417100593448, 0.03694734697395082, -0.07866094467171933, -0.1558180465797583, 0.4338591588661075, 0.15160914074008663, 0.2465732338031133, 0.05153797115432099, 0.27554019829568765, 0.050242873736812424, 0.10377768193061153, 0.04561407607514411, 0.20430713067859566, 0.11733387733188769, 0.15964168869967882, -0.1421955036263292, 0.0824245365181317, 0.03835479305591434] |
711.4434 | The stability and free expansion of a dipolar Fermi gas | We investigate the stability and the free expansion of a trapped dipolar
Fermi gas. We show that stabilizing the system relying on tuning the trap
geometry is generally inefficient. We further show that the expanded density
profile always gets stretched along the attractive direction of dipolar
interaction. We also point out that by switching off the dipolar interaction
simultaneously with the trapping potential, the deformation of momentum
distribution can be directly observed.
| cond-mat.other | we investigate the stability and the free expansion of a trapped dipolar fermi gas we show that stabilizing the system relying on tuning the trap geometry is generally inefficient we further show that the expanded density profile always gets stretched along the attractive direction of dipolar interaction we also point out that by switching off the dipolar interaction simultaneously with the trapping potential the deformation of momentum distribution can be directly observed | [['we', 'investigate', 'the', 'stability', 'and', 'the', 'free', 'expansion', 'of', 'a', 'trapped', 'dipolar', 'fermi', 'gas', 'we', 'show', 'that', 'stabilizing', 'the', 'system', 'relying', 'on', 'tuning', 'the', 'trap', 'geometry', 'is', 'generally', 'inefficient', 'we', 'further', 'show', 'that', 'the', 'expanded', 'density', 'profile', 'always', 'gets', 'stretched', 'along', 'the', 'attractive', 'direction', 'of', 'dipolar', 'interaction', 'we', 'also', 'point', 'out', 'that', 'by', 'switching', 'off', 'the', 'dipolar', 'interaction', 'simultaneously', 'with', 'the', 'trapping', 'potential', 'the', 'deformation', 'of', 'momentum', 'distribution', 'can', 'be', 'directly', 'observed']] | [-0.18504172489257245, 0.1975783626548946, -0.1076471059803023, 0.05601817462108253, -0.025610554808129866, -0.14265295624985205, 0.032203797768387527, 0.41649332389028537, -0.296739901157303, -0.2465739454815371, 0.04142190702906293, -0.2446627992257062, -0.11029380226197343, 0.15267327663281727, 0.04406850661972486, -0.037677872628490955, 0.039291503166572914, 0.007041107847018995, -0.06318712050011123, -0.22672066198558444, 0.32371808578156763, 0.0976411457070046, 0.29778766311291194, 0.09659237920681739, 0.050605654794101916, 0.037958510760088555, 0.08213807084959829, 0.055853423114361554, -0.13206482646142426, 0.11419934366777953, 0.1079190906619058, -0.01271754909410245, 0.21729115764093068, -0.4428908874849892, -0.21441233836230822, 0.09089177350203197, 0.2193908930963112, 0.14156808587075728, -0.08255115592490053, -0.27152280424100655, -0.029694478382478136, -0.17650327251370376, -0.20916107270426842, -0.13052646529912534, 0.0036946933735938123, 0.08550824497069698, -0.23434133794055217, 0.0763864640058374, 0.09714593137485078, 0.013928261585533619, -0.12072110413444331, -0.04494321946953682, -0.052533075355717704, 0.050011010704717286, 0.047869237621651135, 0.0387578608869161, 0.20975367735243505, -0.13709698363931644, -0.005987688530391703, 0.33822397812683547, -0.1072899466137945, -0.1876378432692339, 0.1764941998569864, -0.18486520759243932, -0.04562020876781187, 0.1544621535964931, 0.14767535272080246, 0.06949534791056067, -0.09614962191295086, 0.08744283293344779, -0.01515368797926284, 0.17773873329416448, 0.08078784160574691, -0.043530571061031274, 0.2956170079350058, 0.13509582961301525, 0.08814105880446732, 0.18962176125528962, -0.1505238121317234, -0.1336781365615833, -0.2755370981887811, -0.12107767386543047, -0.21176652404634902, 0.043563934250010386, -0.06590602208658917, -0.13024301219330583, 0.36280625422174734, 0.13906850511880797, 0.20832560241170642, -0.016753742215870362, 0.31846709249334204, 0.14804078768874104, 0.0801056314052807, 0.06837884836002356, 0.313779563539558, 0.06633047760503057, 0.048640413474964186, -0.3167509609225413, 0.03212699754577544, 0.01893699536837327] |
711.4435 | Translating solitons to symplectic and Lagrangian mean curvature flows | In this paper, we construct finite blow-up examples for symplectic mean
curvature flows and we study properties of symplectic translating solitons. We
prove that, the K\"ahler angle $\alpha$ of a symplectic translating soliton
with $\max |A|=1$ satisfies that $\sup |\alpha|>\frac{\pi}{4}\frac{|T|}{|T|+1}$
where $T$ is the direction in which the surface transltes.
| math.DG | in this paper we construct finite blowup examples for symplectic mean curvature flows and we study properties of symplectic translating solitons we prove that the kahler angle alpha of a symplectic translating soliton with max a1 satisfies that sup alphafracpi4fractt1 where t is the direction in which the surface transltes | [['in', 'this', 'paper', 'we', 'construct', 'finite', 'blowup', 'examples', 'for', 'symplectic', 'mean', 'curvature', 'flows', 'and', 'we', 'study', 'properties', 'of', 'symplectic', 'translating', 'solitons', 'we', 'prove', 'that', 'the', 'kahler', 'angle', 'alpha', 'of', 'a', 'symplectic', 'translating', 'soliton', 'with', 'max', 'a1', 'satisfies', 'that', 'sup', 'alphafracpi4fractt1', 'where', 't', 'is', 'the', 'direction', 'in', 'which', 'the', 'surface', 'transltes']] | [-0.2088139485955859, 0.12295501413367067, -0.10370617907028645, 0.0623910094339711, -0.09070743596142468, -0.1614996708134034, -0.043237465547766384, 0.3880255676873882, -0.29618822581445176, -0.1584198654939731, 0.08870643166301306, -0.2692898819999148, -0.15701269591227174, 0.15515192024273952, -0.1025684000342153, 0.014894040029806396, 0.05391290853731334, 0.06555322553807248, -0.1477970627626443, -0.20394739829741107, 0.4207725157029927, -0.08043362929796179, 0.20242397591937333, 0.09766639566078084, 0.15160692723778388, -0.04976534733820396, 0.06386679425486363, 0.018597970677850146, -0.2697357909749674, 0.09270522714359686, 0.22196673112921417, 0.04293864891224075, 0.19406942157850912, -0.3640925377840176, -0.19517436136569208, 0.1882911287054109, 0.16924077660466233, 0.05071904640984334, -0.06530303356703371, -0.25262564783527824, 0.16756850987439975, -0.06892929560369036, -0.1878341018843154, -0.07757745940277043, 0.055044282737071626, 0.08307077308321216, -0.2050649873757114, 0.04203406354645267, 0.16374996843903014, 0.08929012703204837, -0.07045680670610939, -0.05708386797535544, -0.07059275712041806, 0.04911950646783225, 0.07618766364854916, 0.09431894383063384, 0.0799270067169952, -0.09479998606548179, -0.03662951242101068, 0.3781844380234058, -0.15562239028076874, -0.26652506517712027, 0.042363287420206085, -0.12569400308226855, -0.16085953004464196, 0.07625931050279178, 0.154275012241366, 0.17289405627525412, -0.014609591744374484, 0.15757392174054985, -0.09923855543214206, 0.11202981509268284, 0.17416056940176836, -0.03706087009049952, 0.10993266022220875, 0.12920322047527102, 0.1733849373025199, 0.12370839359937236, -0.0700060265371576, -0.10744308010907844, -0.393645690754056, -0.22999285619395474, -0.10670831411456068, 0.13174749167713648, -0.10591819286946702, -0.14434871003807834, 0.39304705678174895, 0.02034191001439467, 0.20100052759516984, 0.14227403066130742, 0.227121540325849, 0.08502941388481607, -0.028209243610035628, 0.14731552410133494, 0.21090055908522723, 0.1771928432281129, 0.05974325368879363, -0.1928654249641113, -0.12111711296408127, 0.16761685849633068] |
711.4436 | Tate-Shafarevich groups and K3 surfaces | Following (and elaborating on) a method of Logan and van Luijk, we exhibit
explicit genus-2 curves whose Jacobians have nontrivial 2-torsion in their
Tate-Shafarevich groups.
| math.NT math.AG | following and elaborating on a method of logan and van luijk we exhibit explicit genus2 curves whose jacobians have nontrivial 2torsion in their tateshafarevich groups | [['following', 'and', 'elaborating', 'on', 'a', 'method', 'of', 'logan', 'and', 'van', 'luijk', 'we', 'exhibit', 'explicit', 'genus2', 'curves', 'whose', 'jacobians', 'have', 'nontrivial', '2torsion', 'in', 'their', 'tateshafarevich', 'groups']] | [-0.23371506668627262, 0.012561559304594993, -0.21031965408474207, 0.07845314722508193, -0.11680506456643343, -0.1844327668659389, 0.03742731111589819, 0.3732465147972107, -0.16493196673691274, -0.29779431834816933, 0.07043792880605906, -0.25504519568756223, -0.19839207511395215, 0.3341730087995529, -0.19437556337565184, 0.001351376324892044, -0.038987663611769675, -0.0014148723334074021, -0.10116384986788035, -0.41656308084726335, 0.41767261043190956, -0.09143849432468415, 0.17826140381395816, 0.0996198808774352, 0.14144292136654257, 0.022054262701421978, -0.059783382965251805, -0.07174564652144909, -0.20347125645726918, 0.15159956354647874, 0.27403966382145883, -0.06126637363806367, 0.14864857703447343, -0.36000745728611944, -0.1537393667921424, 0.22007618725299835, 0.08714570455253125, 0.032817889153957364, -0.06738582799676805, -0.24153245145455002, 0.08104713127017021, -0.18494761772453785, -0.1520683854818344, -0.14315079145133494, 0.07971498608589173, 0.13464014165103436, -0.08703718566335737, 0.019021814428269862, 0.1269659013301134, 0.25752136658877134, -0.06563661627471447, -0.15878301776945591, -0.05975156623870134, 0.07205800221301616, 0.0011962517350912094, -0.05638337768614292, 0.03139063777402043, -0.0774073188751936, -0.09026336873415858, 0.30459484085440636, -0.017636787071824075, -0.0800457438826561, 0.1198561992123723, -0.0871553569752723, -0.19195864528417586, 0.16481802091002465, 0.12343553594313562, 0.15092667788267136, 0.05834409356117248, 0.2275432094698772, -0.1018209221959114, 0.053314352044835686, 0.17620033629238605, -0.08179529048502446, 0.08410328438505531, -0.026408575028181076, 0.003421390941366553, 0.02709031813312322, 0.07542517085559666, 0.01246368259191513, -0.29792500093579294, -0.2108402382582426, -0.10223006606101989, 0.13448920281603932, -0.11521157590555958, -0.2577241999749094, 0.46778901532292366, 0.0042850556969642635, 0.17483229031786324, 0.1317508541420102, 0.14826814166270197, 0.009781232364475726, 0.04579741432331502, 0.06644885160028935, 0.14363122045993804, 0.17629608631134033, -0.056435527931898835, -0.19677063636481762, -0.012579217869788408, 0.26477164164185524] |
711.4437 | Weierstrass's criterion and compact solitary waves | Weierstrass's theory is a standard qualitative tool for single degree of
freedom equations, used in classical mechanics and in many textbooks. In this
Brief Report we show how a simple generalization of this tool makes it possible
to identify some differential equations for which compact and even semicompact
traveling solitary waves exist. In the framework of continuum mechanics, these
differential equations correspond to bulk shear waves for a special class of
constitutive laws.
| physics.class-ph | weierstrasss theory is a standard qualitative tool for single degree of freedom equations used in classical mechanics and in many textbooks in this brief report we show how a simple generalization of this tool makes it possible to identify some differential equations for which compact and even semicompact traveling solitary waves exist in the framework of continuum mechanics these differential equations correspond to bulk shear waves for a special class of constitutive laws | [['weierstrasss', 'theory', 'is', 'a', 'standard', 'qualitative', 'tool', 'for', 'single', 'degree', 'of', 'freedom', 'equations', 'used', 'in', 'classical', 'mechanics', 'and', 'in', 'many', 'textbooks', 'in', 'this', 'brief', 'report', 'we', 'show', 'how', 'a', 'simple', 'generalization', 'of', 'this', 'tool', 'makes', 'it', 'possible', 'to', 'identify', 'some', 'differential', 'equations', 'for', 'which', 'compact', 'and', 'even', 'semicompact', 'traveling', 'solitary', 'waves', 'exist', 'in', 'the', 'framework', 'of', 'continuum', 'mechanics', 'these', 'differential', 'equations', 'correspond', 'to', 'bulk', 'shear', 'waves', 'for', 'a', 'special', 'class', 'of', 'constitutive', 'laws']] | [-0.11572236504584346, 0.07584961530535597, -0.12166420907445558, 0.10273133718874305, -0.13037074597118653, -0.14416664327839263, -0.04380615898057155, 0.28851832847480907, -0.29563172258538745, -0.27941479273650743, 0.04395444687832249, -0.2542133436582932, -0.22360155451644134, 0.22699486623735052, -0.059818174259430944, 0.09596303600358637, 0.045598940408712076, 0.0234443698563192, -0.0363231200879529, -0.16681344805872195, 0.2900982401971641, -0.028809129375300994, 0.25977608689094245, 0.007921973466618012, 0.1235556267648425, 0.002264241764500533, -0.023245932132464973, 0.041206777771960384, -0.15918775817557965, 0.09049702428715074, 0.3059780080994106, 0.09457641950336425, 0.2509734281147384, -0.4640975363093288, -0.23783113965637062, 0.05030431745778004, 0.09733928358086627, 0.18201858834650572, -0.027798470372831677, -0.23161676693835284, 0.026158006906458368, -0.15259658025871892, -0.2359634149462393, -0.10076735201865843, 0.05585606042806008, 0.02362572736017508, -0.1886734185383132, 0.11825522712801825, 0.08525228433387533, 0.054692786749275336, -0.042066696626198004, -0.0762001472742182, 0.009557141584331451, 0.05200569496222147, 0.02779888805665382, -0.022756521121203285, 0.05174880601108482, -0.14898833499149713, -0.10407081719652163, 0.43358973477495044, -0.0663831989402079, -0.27963411373928293, 0.19801315523154575, -0.12376470158629324, -0.198797077795312, 0.134395366491533, 0.19110205154610824, 0.16450572483981513, -0.17687194327479355, 0.05791438909164592, -0.060939107740884776, 0.14556077935362924, 0.08590137598755425, 0.04173709271628767, 0.22217706687850494, 0.14090596425844587, 0.016843004138623555, 0.10821624569059031, 0.014219456696755265, -0.13398681086095765, -0.38034824033152975, -0.19615589124022995, -0.06657435034388957, 0.07940890472892621, -0.06545748535746211, -0.2169357195675169, 0.37101012334380656, 0.13766753382116478, 0.08717552704372993, 0.03572007253517282, 0.22108544898179538, 0.1363749834995921, 0.003472548756391218, 0.06525784667759929, 0.2762671504955107, 0.213455675705655, 0.12409470520581897, -0.15655549744555522, -0.01983019877033793, 0.08680312526858833] |
711.4438 | Acoustic waves at the interface of a pre-stressed incompressible elastic
solid and a viscous fluid | We analyse the influence of pre-stress on the propagation of interfacial
waves along the boundary of an incompressible hyperelastic half-space that is
in contact with a viscous fluid extending to infinity in the adjoining
half-space. One aim is to derive rigorously the incremental boundary conditions
at the interface; this derivation is delicate because of the interplay between
the Lagrangian and the Eulerian descriptions but is crucial for numerous
problems concerned with the interaction between a compliant wall and a viscous
fluid. A second aim of this work is to model the ultrasonic waves used in the
assessment of aortic aneurysms, and here we find that for this purpose the
half-space idealization is justified at high frequencies. A third goal is to
shed some light on the stability behaviour in compression of the solid
half-space, as compared with the situation in the absence of fluid; we find
that the usual technique of seeking standing waves solutions is not appropriate
when the half-space is in contact with a fluid; in fact, a correct analysis
reveals that the presence of a viscous fluid makes a compressed neo-Hookean
half-space slightly more stable. For a wave travelling in a direction of
principal strain, we obtain results for the case of a general (incompressible
isotropic) strain-energy function. For a wave travelling parallel to the
interface and in an arbitrary direction in a plane of principal strain, we
specialize the analysis to the neo-Hookean strain-energy function.
| physics.flu-dyn | we analyse the influence of prestress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic halfspace that is in contact with a viscous fluid extending to infinity in the adjoining halfspace one aim is to derive rigorously the incremental boundary conditions at the interface this derivation is delicate because of the interplay between the lagrangian and the eulerian descriptions but is crucial for numerous problems concerned with the interaction between a compliant wall and a viscous fluid a second aim of this work is to model the ultrasonic waves used in the assessment of aortic aneurysms and here we find that for this purpose the halfspace idealization is justified at high frequencies a third goal is to shed some light on the stability behaviour in compression of the solid halfspace as compared with the situation in the absence of fluid we find that the usual technique of seeking standing waves solutions is not appropriate when the halfspace is in contact with a fluid in fact a correct analysis reveals that the presence of a viscous fluid makes a compressed neohookean halfspace slightly more stable for a wave travelling in a direction of principal strain we obtain results for the case of a general incompressible isotropic strainenergy function for a wave travelling parallel to the interface and in an arbitrary direction in a plane of principal strain we specialize the analysis to the neohookean strainenergy function | [['we', 'analyse', 'the', 'influence', 'of', 'prestress', 'on', 'the', 'propagation', 'of', 'interfacial', 'waves', 'along', 'the', 'boundary', 'of', 'an', 'incompressible', 'hyperelastic', 'halfspace', 'that', 'is', 'in', 'contact', 'with', 'a', 'viscous', 'fluid', 'extending', 'to', 'infinity', 'in', 'the', 'adjoining', 'halfspace', 'one', 'aim', 'is', 'to', 'derive', 'rigorously', 'the', 'incremental', 'boundary', 'conditions', 'at', 'the', 'interface', 'this', 'derivation', 'is', 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711.4439 | Piezoelectric Love waves on rotated Y-cut mm2 substrates | Consider a layer made of a m3m insulator crystal, with faces cut parallel to
a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric
substrate. For a X- or Y -cut of the substrate, a Love wave can propagate in
the resulting structure and the corresponding dispersion equation is derived
analytically. It turns out that a fully explicit treatment can also be
conducted in the case of a Y -cut rotated about Z. In the case of a germanium
layer over a potassium niobate substrate, the wave exists at any wavelength for
X- and Y -cuts but this ceases to be the case for rotated cuts, with the
appearance of forbidden ranges. By playing on the cut angle, the Love wave can
be made to travel faster than, or slower than, or at the same speed as, the
shear bulk wave of the layer. A by-product of the analysis is the derivation of
the explicit secular equation for the Bleustein-Gulyaev wave in the substrate
alone, which corresponds to an asymptotic behavior of the Love wave.
| cond-mat.mtrl-sci | consider a layer made of a m3m insulator crystal with faces cut parallel to a symmetry plane then bond it onto a semiinfinite mm2 piezoelectric substrate for a x or y cut of the substrate a love wave can propagate in the resulting structure and the corresponding dispersion equation is derived analytically it turns out that a fully explicit treatment can also be conducted in the case of a y cut rotated about z in the case of a germanium layer over a potassium niobate substrate the wave exists at any wavelength for x and y cuts but this ceases to be the case for rotated cuts with the appearance of forbidden ranges by playing on the cut angle the love wave can be made to travel faster than or slower than or at the same speed as the shear bulk wave of the layer a byproduct of the analysis is the derivation of the explicit secular equation for the bleusteingulyaev wave in the substrate alone which corresponds to an asymptotic behavior of the love wave | [['consider', 'a', 'layer', 'made', 'of', 'a', 'm3m', 'insulator', 'crystal', 'with', 'faces', 'cut', 'parallel', 'to', 'a', 'symmetry', 'plane', 'then', 'bond', 'it', 'onto', 'a', 'semiinfinite', 'mm2', 'piezoelectric', 'substrate', 'for', 'a', 'x', 'or', 'y', 'cut', 'of', 'the', 'substrate', 'a', 'love', 'wave', 'can', 'propagate', 'in', 'the', 'resulting', 'structure', 'and', 'the', 'corresponding', 'dispersion', 'equation', 'is', 'derived', 'analytically', 'it', 'turns', 'out', 'that', 'a', 'fully', 'explicit', 'treatment', 'can', 'also', 'be', 'conducted', 'in', 'the', 'case', 'of', 'a', 'y', 'cut', 'rotated', 'about', 'z', 'in', 'the', 'case', 'of', 'a', 'germanium', 'layer', 'over', 'a', 'potassium', 'niobate', 'substrate', 'the', 'wave', 'exists', 'at', 'any', 'wavelength', 'for', 'x', 'and', 'y', 'cuts', 'but', 'this', 'ceases', 'to', 'be', 'the', 'case', 'for', 'rotated', 'cuts', 'with', 'the', 'appearance', 'of', 'forbidden', 'ranges', 'by', 'playing', 'on', 'the', 'cut', 'angle', 'the', 'love', 'wave', 'can', 'be', 'made', 'to', 'travel', 'faster', 'than', 'or', 'slower', 'than', 'or', 'at', 'the', 'same', 'speed', 'as', 'the', 'shear', 'bulk', 'wave', 'of', 'the', 'layer', 'a', 'byproduct', 'of', 'the', 'analysis', 'is', 'the', 'derivation', 'of', 'the', 'explicit', 'secular', 'equation', 'for', 'the', 'bleusteingulyaev', 'wave', 'in', 'the', 'substrate', 'alone', 'which', 'corresponds', 'to', 'an', 'asymptotic', 'behavior', 'of', 'the', 'love', 'wave']] | [-0.15498426809129093, 0.1390080788459355, -0.0864904019894213, 0.0006103300951177847, -0.08888929799484852, -0.11666880603297614, 0.08275516553641699, 0.3852157535094937, -0.2821171018956441, -0.24438104906585068, 0.08319734272663482, -0.3048265107916615, -0.09015481868779963, 0.16970373345247936, 0.037509462219366636, 0.005168756086442789, 0.021784792121748484, 0.030451837043404918, -0.10586737042070705, -0.19594264023048294, 0.2669207598056263, 0.01979699840673923, 0.26393280657727947, 0.021732328762730256, 0.11466817049982968, 0.027085377101849935, 0.05528778088310818, 0.024762433173071422, -0.13318619890746544, 0.05201529327843508, 0.22660564778991762, 0.010826349546236584, 0.21268996049581224, -0.43661501190879126, -0.20525015342387964, 0.035963502940086815, 0.15447249869413843, 0.10977526051084913, -0.0032994960380495863, -0.2531705745826581, 0.06610411108307414, -0.11789261952005538, -0.16617217715776694, 0.018237415769941766, 0.03875894970472225, -0.018212148968648926, -0.2631603673841958, 0.05608974406426238, 0.07165275486874055, 0.02292229563929802, -0.01741441938131836, -0.1153982997890456, -0.1256074816496535, 0.06273094983639153, 0.059894980320409144, 0.10137868771033193, 0.12141673059192147, -0.12864406981944657, -0.029504948054884815, 0.3953139665113254, -0.06026086930482548, -0.23413181633672633, 0.11130766526647759, -0.15319287292500536, -0.01634101000540382, 0.16985356816043018, 0.1740227603053923, 0.1356108394790102, -0.10508644645431725, 0.05498432663245529, -0.04320742004429948, 0.2030644519042901, 0.16632943370760503, -0.01862470098421909, 0.21961355354605158, 0.15639568374899682, 0.07837613715541507, 0.1618073469494861, -0.10298519527449654, -0.023729748801666905, -0.31100059259386564, -0.17753738344551742, -0.15515297930356942, 0.07880558222694328, -0.10361840573006537, -0.19123553519338285, 0.368033884635555, 0.0695136734681331, 0.17074476654405854, 0.015091588377386373, 0.25030715870128584, 0.13183709593762283, 0.08137795964615759, 0.05051296594088357, 0.26403088064398617, 0.14080559871482282, 0.08006489406993338, -0.19820811327769083, 0.07228618457421279, 0.04206021464514462] |
711.444 | Holomorphic functions and regular quaternionic functions on the
hyperk\"ahler space H | Let H be the space of quaternions, with its standard hypercomplex structure.
Let R(D) be the module of regular functions on D. For every unitary vector p in
S^2, R(D) contains the space of holomorphic functions w.r.t. the complex
structure J_p induced by p. We prove the existence, on any bounded domain D, of
regular functions that are not J_p-holomorphic for any p. Our starting point is
a result of Chen and Li concerning maps between hyperkaehler manifolds, where a
similar result is obtained for a less restricted class of quaternionic maps. We
give a criterion, based on the energy-minimizing property of holomorphic maps,
that distinguishes J_p-holomorphic functions among regular functions.
| math.CV | let h be the space of quaternions with its standard hypercomplex structure let rd be the module of regular functions on d for every unitary vector p in s2 rd contains the space of holomorphic functions wrt the complex structure j_p induced by p we prove the existence on any bounded domain d of regular functions that are not j_pholomorphic for any p our starting point is a result of chen and li concerning maps between hyperkaehler manifolds where a similar result is obtained for a less restricted class of quaternionic maps we give a criterion based on the energyminimizing property of holomorphic maps that distinguishes j_pholomorphic functions among regular functions | [['let', 'h', 'be', 'the', 'space', 'of', 'quaternions', 'with', 'its', 'standard', 'hypercomplex', 'structure', 'let', 'rd', 'be', 'the', 'module', 'of', 'regular', 'functions', 'on', 'd', 'for', 'every', 'unitary', 'vector', 'p', 'in', 's2', 'rd', 'contains', 'the', 'space', 'of', 'holomorphic', 'functions', 'wrt', 'the', 'complex', 'structure', 'j_p', 'induced', 'by', 'p', 'we', 'prove', 'the', 'existence', 'on', 'any', 'bounded', 'domain', 'd', 'of', 'regular', 'functions', 'that', 'are', 'not', 'j_pholomorphic', 'for', 'any', 'p', 'our', 'starting', 'point', 'is', 'a', 'result', 'of', 'chen', 'and', 'li', 'concerning', 'maps', 'between', 'hyperkaehler', 'manifolds', 'where', 'a', 'similar', 'result', 'is', 'obtained', 'for', 'a', 'less', 'restricted', 'class', 'of', 'quaternionic', 'maps', 'we', 'give', 'a', 'criterion', 'based', 'on', 'the', 'energyminimizing', 'property', 'of', 'holomorphic', 'maps', 'that', 'distinguishes', 'j_pholomorphic', 'functions', 'among', 'regular', 'functions']] | [-0.1642774935179484, 0.09069253220340373, -0.0768935073107276, 0.04062656017763694, -0.0627949860570696, -0.1386294871047481, -0.005223049288252454, 0.3353980197571218, -0.2861480847889677, -0.1615604175374322, 0.06892653248046414, -0.26736805119782414, -0.17688286502700334, 0.21388817016342912, -0.06945476011125319, -0.0014864110538454025, 0.05408105612177094, 0.07757056942807698, -0.13863590200337658, -0.2478559062583372, 0.4177708015136352, -0.05715939233404234, 0.16807546773540932, 0.03281477115911628, 0.10984793583505495, 0.04491423932758561, -0.03975286469324876, -0.01215638674917383, -0.15431596627183913, 0.124979941772485, 0.23009059103120358, 0.14971102105342535, 0.22310720852772714, -0.3554124130358505, -0.1830159336661732, 0.243523021877974, 0.0769976218393363, -0.05452640509284144, 0.005850992547860796, -0.2936515901408611, 0.15344265891973852, -0.054391781295384835, -0.15565068725445266, -0.08392592834804309, 0.10110703392227718, 0.04595061623141033, -0.30916108962665356, 0.0017708759699358579, 0.14596722146855035, 0.10826815968943299, -0.08511053183256999, -0.12458389369053167, -0.09384160748802535, 0.0718499017674305, -0.07057656498130309, 0.16903100254701947, 0.07176265232809691, -0.03878284794456804, -0.12878359227607863, 0.3670689533934544, -0.08137522627377387, -0.3217120202805061, 0.1414528010314792, -0.2245081174529132, -0.15757408588184812, 0.10764671361859922, 0.12146893617004977, 0.15439702094524005, -0.043874187786943804, 0.2386415503025183, -0.1465941890775132, 0.098381321767501, 0.09809745276996165, 0.004835891118700351, 0.11451467573952459, 0.0792091626186915, 0.13486572306329778, 0.13100143201828618, 0.009291673640917065, -0.036196235362269465, -0.3677227127049631, -0.1587081985770289, -0.17766406339456522, 0.12410354725559938, -0.13540191176214464, -0.20087839643376956, 0.38937678365378614, -0.01702272676683347, 0.23246612215260848, 0.10611647601589697, 0.16560846636362306, 0.08230757991753417, 0.0600388289275451, 0.08175776463104498, 0.10806548820996503, 0.17338913162623387, 0.001635116216333566, -0.10589322022273454, 0.029510864206171092, 0.1716155851554337] |
711.4441 | Bleustein-Gulyaev waves in some functionally graded materials | Functionally Graded Materials are inhomogeneous elastic bodies whose
properties vary continuously with space. Hence consider a half-space (x_2>0)
occupied by a special Functionally Graded Material made of an hexagonal (6 mm)
piezoelectric crystal for which the elastic stiffness c44, the piezoelectric
constant e15, the dielectric constant epsilon11, and the mass density, all vary
proportionally to the same "inhomogeneity function" f(x_2), say. Then consider
the problem of a piezoacoustic shear-horizontal surface wave which leaves the
interface (x_2=0) free of mechanical tractions and vanishes as x_2 goes to
infinity (the Bleustein-Gulyaev wave). It turns out that for some choices of
the function f, this problem can be solved exactly for the usual boundary
conditions, such as metalized surface or free surface. Several such functions
f(x_2) are derived here, such as exp($\pm 2\beta x_2) (\beta is a constant)
which is often encountered in geophysics, or other functions which are periodic
or which vanish as x_2 tends to infinity; one final example presents the
advantage of describing a layered half-space which becomes asymptotically
homogeneous away from the interface. Special attention is given to the
influence of the different inhomogeneity functions upon the characteristics of
the Bleustein-Gulyaev wave (speed, dispersion, attenuation factors, depth
profiles, electromechanical coupling factor, etc.)
| cond-mat.mtrl-sci | functionally graded materials are inhomogeneous elastic bodies whose properties vary continuously with space hence consider a halfspace x_20 occupied by a special functionally graded material made of an hexagonal 6 mm piezoelectric crystal for which the elastic stiffness c44 the piezoelectric constant e15 the dielectric constant epsilon11 and the mass density all vary proportionally to the same inhomogeneity function fx_2 say then consider the problem of a piezoacoustic shearhorizontal surface wave which leaves the interface x_20 free of mechanical tractions and vanishes as x_2 goes to infinity the bleusteingulyaev wave it turns out that for some choices of the function f this problem can be solved exactly for the usual boundary conditions such as metalized surface or free surface several such functions fx_2 are derived here such as exppm 2beta x_2 beta is a constant which is often encountered in geophysics or other functions which are periodic or which vanish as x_2 tends to infinity one final example presents the advantage of describing a layered halfspace which becomes asymptotically homogeneous away from the interface special attention is given to the influence of the different inhomogeneity functions upon the characteristics of the bleusteingulyaev wave speed dispersion attenuation factors depth profiles electromechanical coupling factor etc | [['functionally', 'graded', 'materials', 'are', 'inhomogeneous', 'elastic', 'bodies', 'whose', 'properties', 'vary', 'continuously', 'with', 'space', 'hence', 'consider', 'a', 'halfspace', 'x_20', 'occupied', 'by', 'a', 'special', 'functionally', 'graded', 'material', 'made', 'of', 'an', 'hexagonal', '6', 'mm', 'piezoelectric', 'crystal', 'for', 'which', 'the', 'elastic', 'stiffness', 'c44', 'the', 'piezoelectric', 'constant', 'e15', 'the', 'dielectric', 'constant', 'epsilon11', 'and', 'the', 'mass', 'density', 'all', 'vary', 'proportionally', 'to', 'the', 'same', 'inhomogeneity', 'function', 'fx_2', 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711.4442 | Recurrent extensions of self-similar Markov processes and Cram\'er's
condition II | We prove that a positive self-similar Markov process $(X,\mathbb{P})$ that
hits 0 in a finite time admits a self-similar recurrent extension that leaves 0
continuously if and only if the underlying L\'{e}vy process satisfies
Cram\'{e}r's condition.
| math.PR | we prove that a positive selfsimilar markov process xmathbbp that hits 0 in a finite time admits a selfsimilar recurrent extension that leaves 0 continuously if and only if the underlying levy process satisfies cramers condition | [['we', 'prove', 'that', 'a', 'positive', 'selfsimilar', 'markov', 'process', 'xmathbbp', 'that', 'hits', '0', 'in', 'a', 'finite', 'time', 'admits', 'a', 'selfsimilar', 'recurrent', 'extension', 'that', 'leaves', '0', 'continuously', 'if', 'and', 'only', 'if', 'the', 'underlying', 'levy', 'process', 'satisfies', 'cramers', 'condition']] | [-0.1361477054921644, 0.2271689965522715, -0.1367424878557878, 0.10775974995974269, -0.12950840629637242, -0.2528480419756046, 0.08479507424469505, 0.4005977299263967, -0.37610833942890165, -0.03338214707161699, 0.1264036451033982, -0.25888055605547766, -0.1441832225503666, 0.1161634126412017, -0.040881448977493816, 0.0007457987538405827, 0.11232558084385735, 0.10717879211796182, -0.0012949583320213216, -0.18432385898860437, 0.3232780028134584, -0.05024688643004213, 0.19870645494333336, 0.002124254245843206, 0.2792692603809493, -0.01330515794189913, 0.030973838003618376, -0.01010072332407747, -0.18958672887425304, -0.10549393551690238, 0.17918262588126319, 0.15621734896807798, 0.34869913288525173, -0.34184119368770294, -0.1906949385734541, 0.24300482118768352, 0.13943393994787975, -0.059185231397194525, -0.0680473984418703, -0.24707323578851564, 0.21393953521869014, -0.10111501908728054, -0.20811138836933032, -0.018067746928759985, 0.14705357796379498, 0.01737078438912119, -0.34247195699385236, 0.06051014922559261, 0.2557952188487564, -0.0361764434458954, -0.050777396100706286, -0.0225694137226258, -0.09648969849305493, 0.030707985974316086, 0.026233096445711063, 0.04004785100197686, 0.11079029910532491, -0.0367791483444827, -0.14657112870897565, 0.26219318849699835, -0.1461883251422218, -0.2908305355480739, 0.12941018816615854, -0.2115423809736967, -0.2355325828705515, 0.18152650321966834, 0.051087079090731485, 0.09645725866513592, -0.11534965189972095, 0.26502777774252795, -0.1380897847137281, 0.17624815935268998, 0.1266255677810737, -0.09247074048700077, 0.0902271986939013, 0.12927744686603546, 0.17709469683468343, 0.11773350318627698, 0.00557311044207641, -0.10813210075721144, -0.3742189085909298, -0.16474410836318773, -0.19421967193484307, 0.222241291656558, -0.14314683804779113, -0.28919603223247187, 0.3010491482115218, 0.13786737567612103, 0.20110759304038117, 0.2009939028482352, 0.1914618135562965, 0.15278338167284217, -0.05545571579464844, 0.15454441120049783, -0.003958365760211434, 0.12301772332617215, 0.09272405499858516, -0.08997388239949941, 0.1613372977556927, 0.11949323221508945] |
711.4443 | Nuclear effects in F_3 structure function of nucleon | We study nuclear effects in the $F^A_3(x)$ structure function in the deep
inelastic neutrino reactions on iron by using a relativistic framework to
describe the nucleon spectral functions in the nucleus.
The results for the ratio $R(x,Q^2)=\frac{F^A_3(x,Q^2)}{AF^N_3(x, Q^2)}$ and
the Gross-Llewellyn Smith(GLS) integral $G(x,Q^2)=\int_x^1 dx F^A_3(x,Q^2)$ in
nuclei are discussed and compared with the recent results available in
literature from theoretical and phenomenological analyses of experimental data.
| nucl-th | we study nuclear effects in the fa_3x structure function in the deep inelastic neutrino reactions on iron by using a relativistic framework to describe the nucleon spectral functions in the nucleus the results for the ratio rxq2fracfa_3xq2afn_3x q2 and the grossllewellyn smithgls integral gxq2int_x1 dx fa_3xq2 in nuclei are discussed and compared with the recent results available in literature from theoretical and phenomenological analyses of experimental data | [['we', 'study', 'nuclear', 'effects', 'in', 'the', 'fa_3x', 'structure', 'function', 'in', 'the', 'deep', 'inelastic', 'neutrino', 'reactions', 'on', 'iron', 'by', 'using', 'a', 'relativistic', 'framework', 'to', 'describe', 'the', 'nucleon', 'spectral', 'functions', 'in', 'the', 'nucleus', 'the', 'results', 'for', 'the', 'ratio', 'rxq2fracfa_3xq2afn_3x', 'q2', 'and', 'the', 'grossllewellyn', 'smithgls', 'integral', 'gxq2int_x1', 'dx', 'fa_3xq2', 'in', 'nuclei', 'are', 'discussed', 'and', 'compared', 'with', 'the', 'recent', 'results', 'available', 'in', 'literature', 'from', 'theoretical', 'and', 'phenomenological', 'analyses', 'of', 'experimental', 'data']] | [-0.00762583092889852, 0.07788930185848758, -0.08925302867733297, 0.14012530117872216, 0.006045771053149586, -0.02629652318529903, 0.04012946137005374, 0.39883257425020613, -0.19616684187499303, -0.2392563850633682, 0.013807361027122371, -0.35664977448149804, -0.07598983683431196, 0.19496360061217158, 0.0347441973401204, 0.06976064840065581, 0.05787533064860673, -0.004091704301240426, -0.08693804628851395, -0.16778677309833703, 0.36354213592315476, 0.09503680501929632, 0.2430817534008788, 0.13341562616436037, 0.035420967548686476, 0.04451988862147407, -0.07755889884004044, -0.03908641606805816, -0.18094256866930258, 0.11818280133847443, 0.2778971750873126, 0.08759866929095653, 0.14383357762181687, -0.448217084601758, -0.19857265426230336, 0.03708820399783906, 0.11683056833932087, 0.08932477493016493, -0.0861675531976664, -0.26418972368692123, 0.024515952382768904, -0.21166951537487053, -0.11717555492318102, -0.10979631834382576, -0.015653405530703445, 0.09076410788850534, -0.26590689101407955, 0.08750651634874798, -0.03382389546771135, 0.046400814405864195, -0.13919516777737984, -0.2584764789198599, 0.03889918472943089, 0.036508197859225294, 0.10386590375786736, 0.0641996063151589, 0.11653817231796446, -0.17301724070594424, -0.10871458086850387, 0.3626025974129637, -0.05270668966621752, -0.14706793935999038, 0.09947769454724732, -0.21203521548193835, -0.16998652723573504, 0.12620437375846363, 0.19203273814526342, 0.11786856194625475, -0.17289122480193211, 0.10480584980021897, -0.07257387457445028, 0.1336351086400331, -0.029765086762222743, 0.03041957435013342, 0.12215035914310388, 0.21966234242750537, -0.09008265750867034, 0.0728706936980228, -0.1393471101542846, -0.0882677019588531, -0.3253223896617927, -0.049347915932432644, -0.135871517580993, 0.021932576191685503, -0.061800933457099805, -0.04557408621564271, 0.3598351252102663, 0.08820711734098574, 0.24229290457590233, -0.016195527839636993, 0.31267644089484026, 0.07464999093541078, 0.09023223547006233, 0.0472123311418626, 0.3102592042395993, 0.1899250751760389, 0.12108254989254333, -0.26749093017156517, 0.044700330842123735, 0.04018727474520722] |
711.4444 | Building the Tangent and Adjoint codes of the Ocean General Circulation
Model OPA with the Automatic Differentiation tool TAPENADE | The ocean general circulation model OPA is developed by the LODYC team at
Paris VI university. OPA has recently undergone a major rewriting, migrating to
FORTRAN95, and its adjoint code needs to be rebuilt. For earlier versions, the
adjoint of OPA was written by hand at a high development cost. We use the
Automatic Differentiation tool TAPENADE to build mechanicaly the tangent and
adjoint codes of OPA. We validate the differentiated codes by comparison with
divided differences, and also with an identical twin experiment. We apply
state-of-the-art methods to improve the performance of the adjoint code. In
particular we implement the Griewank and Walther's binomial checkpointing
algorithm which gives us an optimal trade-off between time and memory
consumption. We apply a specific strategy to differentiate the iterative linear
solver that comes from the implicit time stepping scheme
| cs.MS cs.CE | the ocean general circulation model opa is developed by the lodyc team at paris vi university opa has recently undergone a major rewriting migrating to fortran95 and its adjoint code needs to be rebuilt for earlier versions the adjoint of opa was written by hand at a high development cost we use the automatic differentiation tool tapenade to build mechanicaly the tangent and adjoint codes of opa we validate the differentiated codes by comparison with divided differences and also with an identical twin experiment we apply stateoftheart methods to improve the performance of the adjoint code in particular we implement the griewank and walthers binomial checkpointing algorithm which gives us an optimal tradeoff between time and memory consumption we apply a specific strategy to differentiate the iterative linear solver that comes from the implicit time stepping scheme | [['the', 'ocean', 'general', 'circulation', 'model', 'opa', 'is', 'developed', 'by', 'the', 'lodyc', 'team', 'at', 'paris', 'vi', 'university', 'opa', 'has', 'recently', 'undergone', 'a', 'major', 'rewriting', 'migrating', 'to', 'fortran95', 'and', 'its', 'adjoint', 'code', 'needs', 'to', 'be', 'rebuilt', 'for', 'earlier', 'versions', 'the', 'adjoint', 'of', 'opa', 'was', 'written', 'by', 'hand', 'at', 'a', 'high', 'development', 'cost', 'we', 'use', 'the', 'automatic', 'differentiation', 'tool', 'tapenade', 'to', 'build', 'mechanicaly', 'the', 'tangent', 'and', 'adjoint', 'codes', 'of', 'opa', 'we', 'validate', 'the', 'differentiated', 'codes', 'by', 'comparison', 'with', 'divided', 'differences', 'and', 'also', 'with', 'an', 'identical', 'twin', 'experiment', 'we', 'apply', 'stateoftheart', 'methods', 'to', 'improve', 'the', 'performance', 'of', 'the', 'adjoint', 'code', 'in', 'particular', 'we', 'implement', 'the', 'griewank', 'and', 'walthers', 'binomial', 'checkpointing', 'algorithm', 'which', 'gives', 'us', 'an', 'optimal', 'tradeoff', 'between', 'time', 'and', 'memory', 'consumption', 'we', 'apply', 'a', 'specific', 'strategy', 'to', 'differentiate', 'the', 'iterative', 'linear', 'solver', 'that', 'comes', 'from', 'the', 'implicit', 'time', 'stepping', 'scheme']] | [-0.06753851755508292, 0.016701947599032603, -0.12991114907355897, 0.06679562177012133, -0.11476919073055485, -0.1989863734595033, 0.048591753537419125, 0.3934449742186759, -0.26243858071349896, -0.30775906193528824, 0.11769515544144826, -0.23371446463140422, -0.11732475203809453, 0.20059488060251712, -0.11365919178629767, 0.0626399071444931, 0.09684728664248737, -0.01020928782258016, -0.056703613503269655, -0.29145029834263136, 0.2735985685478715, 0.11632610744893995, 0.29024862754679936, 0.009140617040334767, 0.14111434002042011, -0.029761635913398924, -0.05520820487012614, -0.046760161796501325, -0.10367761041349845, 0.13037627546373867, 0.269887111302632, 0.1592484422292171, 0.2845091892183939, -0.4347619566329713, -0.15574513602682125, 0.0696481037120432, 0.12006202679077066, 0.08968909429090877, -0.058345131325855185, -0.2390195656230729, 0.08313582534901798, -0.22018724265803735, -0.08832726809335177, -0.06096686901170204, -0.024506544372859176, 0.004829581225735706, -0.30681532191863253, -0.015195966840490573, 0.03356459065959024, 0.06918317709576839, -0.039712256134258335, -0.10182843430562001, -0.00012623259811592636, 0.14363789354249445, -0.0059168666085131025, 0.04262911532171516, 0.06760550791713923, -0.05128485234732281, -0.1557828232875344, 0.3611466811497265, -0.09239660423125641, -0.17412945288997977, 0.2030642442127217, -0.04139741218071987, -0.09527472647883471, 0.12239621191436717, 0.18910583180945312, 0.08130284270216058, -0.12415715669101077, 0.0682747776445467, 0.0008135117771131779, 0.18244682109233604, 0.09747360720743996, -0.04965515931809335, 0.13218266115377922, 0.1756910431918118, 0.04442011468362675, 0.15264150351216432, -0.04933205257003098, -0.11183782586299662, -0.2477106459563904, -0.17124069672522704, -0.10781046567456935, -0.05027651273360504, -0.043618118226569, -0.09952514656122649, 0.3975457174403699, 0.17809949787309717, 0.0866676098250075, 0.0874183976878551, 0.3487626834557072, 0.1331444800533389, 0.0863244805394658, 0.1338048566918153, 0.1849557233908311, 0.09893334054374206, 0.13347160408217737, -0.263896003937168, 0.035443237975740165, 0.128926264574541] |
711.4445 | Two-mode Bose-Einstein condensate in a high-frequency driving field that
directly couples the two modes | A two-mode Bose-Einstein condensate coupled by a high-frequency modulation
field is found to display rich features. An effective stationary Hamiltonian
approach reveals the emergence of additional degenerate eigenstates as well as
new topological structures of the spectrum. Possible applications, such as the
suppression of nonlinear Landau-Zener tunneling, are discussed. An interesting
phenomenon, which we call "deterministic symmetry-breaking trapping" associated
with separatrix crossing, is also found in an adiabatic process.
| quant-ph cond-mat.stat-mech | a twomode boseeinstein condensate coupled by a highfrequency modulation field is found to display rich features an effective stationary hamiltonian approach reveals the emergence of additional degenerate eigenstates as well as new topological structures of the spectrum possible applications such as the suppression of nonlinear landauzener tunneling are discussed an interesting phenomenon which we call deterministic symmetrybreaking trapping associated with separatrix crossing is also found in an adiabatic process | [['a', 'twomode', 'boseeinstein', 'condensate', 'coupled', 'by', 'a', 'highfrequency', 'modulation', 'field', 'is', 'found', 'to', 'display', 'rich', 'features', 'an', 'effective', 'stationary', 'hamiltonian', 'approach', 'reveals', 'the', 'emergence', 'of', 'additional', 'degenerate', 'eigenstates', 'as', 'well', 'as', 'new', 'topological', 'structures', 'of', 'the', 'spectrum', 'possible', 'applications', 'such', 'as', 'the', 'suppression', 'of', 'nonlinear', 'landauzener', 'tunneling', 'are', 'discussed', 'an', 'interesting', 'phenomenon', 'which', 'we', 'call', 'deterministic', 'symmetrybreaking', 'trapping', 'associated', 'with', 'separatrix', 'crossing', 'is', 'also', 'found', 'in', 'an', 'adiabatic', 'process']] | [-0.18990812565375498, 0.2058410487410636, -0.06774591000251257, 0.1278057405228722, -0.06048143371615721, -0.1869786383341188, -0.009643655999199204, 0.3403049854264743, -0.27828601639856165, -0.2519798750948647, 0.018067880206322974, -0.2463305921199313, -0.23407317367314862, 0.2000724198769076, -0.008846467425177832, 0.06194588961754588, 0.005587389692664146, 0.03296611740159384, -0.02786661171020292, -0.14681662281678207, 0.31907169180719747, 0.04439266546219385, 0.30287439751344314, 0.03824400205327117, 0.05588643416505901, -0.020450766414295937, 0.08355798142577481, -0.011582785262388812, -0.12213365322626803, 0.009993773439656134, 0.22973245487588903, 0.019892497676546158, 0.21280959353147857, -0.4037600318374841, -0.23655814828648083, 0.04813353423083174, 0.2246828790605608, 0.19195210208029798, -0.09082576853182653, -0.34115241424760956, -0.059199166727130825, -0.15814330619152472, -0.19947844043043375, -0.14935530784904308, 0.028859128036698246, 0.013021144219606684, -0.2612465816833403, 0.10552393742988858, 0.0783091113663049, 0.06943033245540615, -0.04360369530142001, -0.013819374231810587, -0.052451209833278604, 0.03329413589360057, 0.01691209447217525, -0.016499850865237524, 0.11012779571709858, -0.13120839773150889, -0.1679837940044809, 0.37552885716592055, -0.11571430895423544, -0.10745866853550609, 0.18304331463667145, -0.06157994208911407, -0.075862691299045, 0.19432008232705403, 0.10802793889508946, 0.07872048046007968, -0.14234271563211645, 0.06449385326139737, -0.017607868196901636, 0.13533673349066058, 0.0774340911741382, 0.11334580809309863, 0.2676753799390534, 0.18668199584319972, 0.08974617691305668, 0.2009417914609978, -0.0803572840025257, -0.1745081194347459, -0.3140573034238448, -0.10400161545291758, -0.1857136492482454, 0.08818899112267663, -0.05549528336395388, -0.2461021731985544, 0.41898118796339934, 0.10494774600247973, 0.22766874089459146, -0.08881165440686965, 0.2583301159674707, 0.22257201422336578, 0.02827054625242085, 0.01425053066054386, 0.23306017674073792, 0.1595621309057553, 0.0843280159017962, -0.2770388758727822, -0.025667910173913275, -0.0026626166705366063] |
711.4446 | Quasi-bound states of quantum dots in single and bilayer graphene | Dirac fermions interacting with a cylindrically symmetric quantum dot
potential created in single and bilayer graphene are not confined but form
quasi-bound states. The broadening of these quasi-bound states (i. e. the
inverse of their lifetimes) decreases (increases) with the orbital momentum of
the electron in the case of graphene (bilayer). Quasi-bound states with energy
below (above) the barrier height are dominantly electron(hole)-like. A
remarkable decrease of the energy level broadening is predicted for electron
energies close to the barrier height, which are a consequence of the total
internal reflection of the electronic wave at the dot edge.
| cond-mat.mes-hall | dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasibound states the broadening of these quasibound states i e the inverse of their lifetimes decreases increases with the orbital momentum of the electron in the case of graphene bilayer quasibound states with energy below above the barrier height are dominantly electronholelike a remarkable decrease of the energy level broadening is predicted for electron energies close to the barrier height which are a consequence of the total internal reflection of the electronic wave at the dot edge | [['dirac', 'fermions', 'interacting', 'with', 'a', 'cylindrically', 'symmetric', 'quantum', 'dot', 'potential', 'created', 'in', 'single', 'and', 'bilayer', 'graphene', 'are', 'not', 'confined', 'but', 'form', 'quasibound', 'states', 'the', 'broadening', 'of', 'these', 'quasibound', 'states', 'i', 'e', 'the', 'inverse', 'of', 'their', 'lifetimes', 'decreases', 'increases', 'with', 'the', 'orbital', 'momentum', 'of', 'the', 'electron', 'in', 'the', 'case', 'of', 'graphene', 'bilayer', 'quasibound', 'states', 'with', 'energy', 'below', 'above', 'the', 'barrier', 'height', 'are', 'dominantly', 'electronholelike', 'a', 'remarkable', 'decrease', 'of', 'the', 'energy', 'level', 'broadening', 'is', 'predicted', 'for', 'electron', 'energies', 'close', 'to', 'the', 'barrier', 'height', 'which', 'are', 'a', 'consequence', 'of', 'the', 'total', 'internal', 'reflection', 'of', 'the', 'electronic', 'wave', 'at', 'the', 'dot', 'edge']] | [-0.1739718545607493, 0.2670090804740633, 0.0024096611359147066, 0.06178472148489745, 0.03863702317911018, -0.1618989759950524, 0.070330238447419, 0.3617347743093353, -0.2604481949202102, -0.3221485816595173, -0.06997459638412543, -0.3409145162584855, -0.034016980170320295, 0.1423316823184183, 0.07010056017705998, 0.04747358867994596, 0.04753337559991123, 0.029937755546926223, -0.07034557997297074, -0.13959054120806688, 0.3467232831897809, 0.06953406185943864, 0.2498313030708082, 0.17098372174215684, 0.007457626810700623, 0.006649024096874462, 0.1419193709398783, -0.04123958629392779, -0.10961289985643066, 0.07314752209895607, 0.20950962340977697, -0.11582884679730866, 0.22678543193284997, -0.44284047441768276, -0.16450252387067782, 0.01747465606049164, 0.16659864773145713, 0.15181651957616324, -0.05117565307996629, -0.29129398723382544, 0.031009532511234283, -0.17330851891682936, -0.19223544521967775, 0.021952513346122096, 0.04172593084423198, 0.021247983938947168, -0.20142395971534946, 0.15202852111962653, 0.019081006460275846, 0.02056977860437533, -0.12771243758538028, -0.14066194879015928, -0.1583775406362508, 0.026302561195106388, 0.018583922529324275, 0.018454394247154848, 0.2262171898469252, -0.1340041943824581, -0.11722220102632322, 0.35214699255590587, -0.03101723643077403, -0.1561573009803584, 0.15824722383440154, -0.20862014916696653, 0.005774913637445203, 0.21240097389930918, 0.11883897906572548, 0.07440337406221739, -0.05508500631399376, 0.10398487658323913, -0.039188830422737984, 0.13799526802979448, 0.12156331513710704, 0.11562960989024375, 0.27662680202077344, 0.13541223248946913, 0.042863845508353614, 0.10550294811453324, -0.13729567844220394, -0.10539252208497797, -0.27129732297022935, -0.18761880751507184, -0.20652519892325105, 0.10917068137991309, -0.009812066667399984, -0.2116548126352202, 0.44445625162376184, 0.034706039147777965, 0.21073747242887303, -0.04093242516457919, 0.23487368929343894, 0.22407531393595884, 0.0706672237048252, 0.07229352074185598, 0.2615892289436816, 0.1738168565153154, 0.07829569315912259, -0.2778866874658954, -0.017948180605110126, -0.07026336136629287] |
711.4447 | On the symmetric square. Unstable Twisted Characters | We provide a purely local computation of the (elliptic) twisted (by
"transpose-inverse") character of the representation \pi=I(\1) of PGL(3) over a
p-adic field induced from the trivial representation of the maximal parabolic
subgroup. This computation is independent of the theory of the symmetric square
lifting of [IV] of automorphic and admissible representations of SL(2) to
PGL(3). It leads to a proof of the (unstable) fundamental lemma in the theory
of the symmetric square lifting, namely that corresponding spherical functions
(on PGL(2) and PGL(3)) are matching: they have matching orbital integrals.
| math.RT math.NT | we provide a purely local computation of the elliptic twisted by transposeinverse character of the representation pii1 of pgl3 over a padic field induced from the trivial representation of the maximal parabolic subgroup this computation is independent of the theory of the symmetric square lifting of iv of automorphic and admissible representations of sl2 to pgl3 it leads to a proof of the unstable fundamental lemma in the theory of the symmetric square lifting namely that corresponding spherical functions on pgl2 and pgl3 are matching they have matching orbital integrals | [['we', 'provide', 'a', 'purely', 'local', 'computation', 'of', 'the', 'elliptic', 'twisted', 'by', 'transposeinverse', 'character', 'of', 'the', 'representation', 'pii1', 'of', 'pgl3', 'over', 'a', 'padic', 'field', 'induced', 'from', 'the', 'trivial', 'representation', 'of', 'the', 'maximal', 'parabolic', 'subgroup', 'this', 'computation', 'is', 'independent', 'of', 'the', 'theory', 'of', 'the', 'symmetric', 'square', 'lifting', 'of', 'iv', 'of', 'automorphic', 'and', 'admissible', 'representations', 'of', 'sl2', 'to', 'pgl3', 'it', 'leads', 'to', 'a', 'proof', 'of', 'the', 'unstable', 'fundamental', 'lemma', 'in', 'the', 'theory', 'of', 'the', 'symmetric', 'square', 'lifting', 'namely', 'that', 'corresponding', 'spherical', 'functions', 'on', 'pgl2', 'and', 'pgl3', 'are', 'matching', 'they', 'have', 'matching', 'orbital', 'integrals']] | [-0.18649568134563022, 0.09476963350198786, -0.15012266532926077, 0.028194216095706385, -0.10241666613565234, -0.07883495047395483, 0.0010144282590200224, 0.29722999011197787, -0.3280408607921406, -0.21665420224942433, 0.12373617924671369, -0.2154587706775938, -0.1463664561965283, 0.1974977666480739, -0.0794231999362034, 0.014648827221872432, 0.021732450358234765, 0.11674893643802524, -0.14690851893542817, -0.24410973781238446, 0.36080123040186807, -0.04269990222423934, 0.2375892476607742, 0.023886902948443808, 0.10478726133254221, 0.07047804729657227, -0.05152833517745472, -0.0741608586800651, -0.1133134524692589, 0.22121765073179528, 0.24881445846698258, 0.03212924992063624, 0.20280137487289526, -0.37361744923119466, -0.10968087860540057, 0.15804765687397357, 0.1110223003432908, 0.0639899770069993, -0.0048174540191140616, -0.2724199386187986, 0.11282180264864243, -0.18655706281260995, -0.15333142064072275, -0.07207209508332392, 0.040301375469098684, 0.011595121072082038, -0.254338239476587, 0.07578881705451883, 0.1274274836786175, 0.12531469114585203, -0.07589014589765601, -0.11002536753213472, -0.0628442184821692, 0.08678753807973326, 0.019788759219031154, 0.045110785009946384, 0.07705125522935825, -0.14659150728296613, -0.12321924266478654, 0.370364357989407, -0.05150995127924749, -0.20241939831326267, 0.1175173870758729, -0.13127521858184357, -0.11152302401579833, 0.14397085753656672, 0.13051858056713356, 0.13877552501815424, -0.014750159167674151, 0.1873100656176279, -0.14996352707025376, 0.06822641602628393, 0.11506028574357709, 0.005654807375178913, 0.17579843608264842, 0.04669507047726532, 0.09473199153768966, 0.13904600931603586, 0.006208292321103175, -0.1067347486210422, -0.3476998571599467, -0.15798334730789065, -0.14431756301364454, 0.10265731310021928, -0.12369757193223092, -0.2481251283224379, 0.44872183143422845, 0.05983701034375791, 0.1472095331972402, 0.08221149583232035, 0.21213270512964116, 0.1508401506528091, 0.10706603366442108, 0.04082023365824651, 0.1661152859438169, 0.23868756793868426, -0.05006691371221514, -0.20325753159475712, -0.0443930464765329, 0.19292529079058532] |
711.4448 | Natural mu and Bmu in gauge mediation | We propose a natural solution to the mu problem in gauge mediation. It relies
on the logarithmic dependence of the effective Kahler potential on the
messenger threshold superfield X. Thus, mu and Bmu naturally arise at one and
two loops, respectively. Moreover B has the same phase as the gaugino mass and
the supersymmetric CP problem is solved as well.
| hep-ph | we propose a natural solution to the mu problem in gauge mediation it relies on the logarithmic dependence of the effective kahler potential on the messenger threshold superfield x thus mu and bmu naturally arise at one and two loops respectively moreover b has the same phase as the gaugino mass and the supersymmetric cp problem is solved as well | [['we', 'propose', 'a', 'natural', 'solution', 'to', 'the', 'mu', 'problem', 'in', 'gauge', 'mediation', 'it', 'relies', 'on', 'the', 'logarithmic', 'dependence', 'of', 'the', 'effective', 'kahler', 'potential', 'on', 'the', 'messenger', 'threshold', 'superfield', 'x', 'thus', 'mu', 'and', 'bmu', 'naturally', 'arise', 'at', 'one', 'and', 'two', 'loops', 'respectively', 'moreover', 'b', 'has', 'the', 'same', 'phase', 'as', 'the', 'gaugino', 'mass', 'and', 'the', 'supersymmetric', 'cp', 'problem', 'is', 'solved', 'as', 'well']] | [-0.14293433039759595, 0.17443099043642482, -0.016491948262167475, 0.13302259934328806, -0.10374482514647146, -0.17883098205396283, 0.06235278006885589, 0.32776397372363136, -0.25556426600863535, -0.3119986779328125, 0.10047465148575914, -0.2417765603788818, -0.1511946518905461, 0.10969825076560179, -0.03423702817720672, 0.07004669165083517, -0.03277298817411065, 0.08385476628318429, -0.0506343486563613, -0.22099593393504618, 0.3481676776582996, -0.024354548666936655, 0.2121133132352649, 0.1403439039597288, 0.15447812397032976, -0.016092911378170052, 0.03812709197712441, -0.05783429571116964, -0.07347579686126361, 0.04743708783062175, 0.17101916447281837, 0.09644339530107876, 0.15370294423773884, -0.3305424406037976, -0.18260788201975325, 0.16065478526676694, 0.1543024723107616, 0.05442775175518667, -0.03858035530041282, -0.2574361376619587, 0.09293762010832628, -0.12556659264567618, -0.08274615646805614, -0.049955011225150274, -0.006999510262782375, -0.14378433626455564, -0.3460254183659951, 0.09124694179190555, -0.029971473972545938, -0.017323795900059242, -0.020209796051494776, -0.15673830052449678, -0.0765244933272091, 0.0639754204855611, 0.1645304039081869, 0.07645229465172937, 0.17015561199902246, -0.14066483263547222, -0.10132040231643866, 0.4530120229658981, -0.12841572038208446, -0.23398920555288594, 0.16768654701299965, -0.10328344028287878, -0.1759722745977342, 0.08914244869471682, 0.1493130899500102, 0.16324865352750445, -0.13939076606960346, 0.24908751654147637, -0.03681246321648359, 0.10723352402759095, 0.09404561220047375, 0.013723787975807984, 0.2101551625567178, 0.16617751064089437, 0.137593992985785, 0.08690702505409717, -0.026597099526164434, -0.08998651910029973, -0.3721077891920383, -0.12560229608789086, -0.12572987062546115, 0.05928557499816331, -0.12615381098124392, -0.1154312033749496, 0.3923832510908445, 0.08584232957412799, 0.2603427170154949, 0.08095500189810992, 0.25699115116149185, 0.1187776518946824, 0.10267658628387531, -0.01718115739058703, 0.22828852739185096, 0.11628100250770028, 0.12083554823572437, -0.2635008046791578, -0.07281332128526022, 0.11741482142048577] |
711.4449 | Fitting function for asymmetric peaks | In the paper a new fitting function is suggested, which can essentially
increase the existing instrumentation for fitting of asymmetric peaks with the
only maximum.
| physics.data-an physics.comp-ph | in the paper a new fitting function is suggested which can essentially increase the existing instrumentation for fitting of asymmetric peaks with the only maximum | [['in', 'the', 'paper', 'a', 'new', 'fitting', 'function', 'is', 'suggested', 'which', 'can', 'essentially', 'increase', 'the', 'existing', 'instrumentation', 'for', 'fitting', 'of', 'asymmetric', 'peaks', 'with', 'the', 'only', 'maximum']] | [-0.049398361034691335, 0.06890673451125622, -0.11091720804572106, 0.035755926934070884, -0.131898740157485, -0.1540432339720428, 0.04312691871542484, 0.35601994410157206, -0.26138321548700333, -0.3854365761578083, 0.1236992179742083, -0.27314640626311304, -0.10746911197900771, 0.19385856620967387, -0.0644578155875206, 0.049815613701939584, 0.05887905552983284, -0.007712247371673584, -0.11163829617202282, -0.20531687445938587, 0.2896744352579117, 0.10996003918349744, 0.27954258501529694, 0.06888534002006054, 0.07308235417120158, 0.01267589995637536, -0.0529357635229826, 0.03357466086745262, -0.09538821872323751, 0.15548483539372682, 0.2248728308081627, 0.12358170665800572, 0.19973185732960702, -0.31246069855988023, -0.25058814629912374, 0.12830109741538764, 0.22472856504376978, 0.08549607357475907, -0.06512898246292025, -0.17324632704257964, 0.028803679309785366, -0.1743575968593359, -0.1286745623499155, 0.003477665334939957, 0.01595897264778614, 0.08385129950940609, -0.3308329603075981, 0.07797431049868464, 0.05375510677695274, 0.03264101408421993, -0.03875998972915113, -0.16604803033173085, 0.019039312824606896, 0.03277936203405261, 0.01525626956485212, 0.05712551089003682, 0.07835829488933087, -0.11150894584134222, -0.08029895845800639, 0.3038827334344387, -0.09822389494627715, -0.11417434692382812, 0.15015448704361917, -0.13596039831638337, -0.11558436904102563, 0.1474824495613575, 0.11880215004086495, 0.12099777814000845, -0.16131317347288132, 0.03618230015039444, -0.024084603264927864, 0.1816537381708622, 0.057069142423570154, -0.012890828996896744, 0.21234306044876575, 0.13443575447425246, 0.08794123452156782, 0.1512327190116048, -0.14485014230012894, -0.06493459030985832, -0.3130500228703022, -0.11231902342289686, -0.19883113786578177, -0.03510318432003259, -0.056909125689417125, -0.1688519611954689, 0.4837770244479179, 0.11549621554091573, 0.21726477563381194, 0.04130235855001956, 0.34574502289295195, 0.21420973066240548, 0.14915319807827473, 0.060314789358526466, 0.275492762029171, 0.059267117949202655, 0.04368221406824887, -0.20567874513566495, 0.142685628850013, -0.04705151008442044] |
711.445 | Uniformization of \mathcal{G}-bundles | We show some of the conjectures of Pappas and Rapoport concerning the moduli
stack of $\mathcal{G}$-torsors on a curve C, where $\mathcal{G}$ is a
semisimple Bruhat-Tits group scheme on C. In particular we prove the analog of
the uniformization theorem of Drinfeld-Simpson in this setting. Furthermore we
apply this to compute the connected components of these moduli stacks and to
calculate the Picard group of the stack of torsors in case $\mathcal{G}$ is
simply connected.
| math.AG | we show some of the conjectures of pappas and rapoport concerning the moduli stack of mathcalgtorsors on a curve c where mathcalg is a semisimple bruhattits group scheme on c in particular we prove the analog of the uniformization theorem of drinfeldsimpson in this setting furthermore we apply this to compute the connected components of these moduli stacks and to calculate the picard group of the stack of torsors in case mathcalg is simply connected | [['we', 'show', 'some', 'of', 'the', 'conjectures', 'of', 'pappas', 'and', 'rapoport', 'concerning', 'the', 'moduli', 'stack', 'of', 'mathcalgtorsors', 'on', 'a', 'curve', 'c', 'where', 'mathcalg', 'is', 'a', 'semisimple', 'bruhattits', 'group', 'scheme', 'on', 'c', 'in', 'particular', 'we', 'prove', 'the', 'analog', 'of', 'the', 'uniformization', 'theorem', 'of', 'drinfeldsimpson', 'in', 'this', 'setting', 'furthermore', 'we', 'apply', 'this', 'to', 'compute', 'the', 'connected', 'components', 'of', 'these', 'moduli', 'stacks', 'and', 'to', 'calculate', 'the', 'picard', 'group', 'of', 'the', 'stack', 'of', 'torsors', 'in', 'case', 'mathcalg', 'is', 'simply', 'connected']] | [-0.23871980550875133, 0.016933810305655807, -0.13677865407756856, 0.04398707706934294, -0.08494724254627284, -0.09853719671986796, 0.06492572771133603, 0.33619525676870066, -0.33230997788140904, -0.20287107767512066, 0.12305749496728233, -0.20856815195214506, -0.16209582625133162, 0.24412568074311256, -0.19528032512076804, -0.07310230476227966, 0.008058526584677197, 0.07648633910041, -0.06175493802623572, -0.34872116762641314, 0.43567595812114507, -0.09156379478706701, 0.2669040136530089, 0.07943982260956152, 0.10345801902381149, 0.04343382121894408, -0.03638311495022798, -0.01813100283411709, -0.1417210542949269, 0.16278564573479565, 0.3036064584110234, 0.04098554174226986, 0.14453058723813375, -0.39060450184184153, -0.15079030812390753, 0.18310015067156102, 0.07994112935301854, 0.03857272122105634, 0.03642800119957207, -0.2206012631005079, 0.15725825428711, -0.1600824801905735, -0.16523774296070473, -0.03541112483346935, 0.05507104111382285, 0.03717772565417092, -0.1671539832510658, -0.046432858446260564, 0.053715195028564415, 0.08396941409572153, -0.0640134150414048, -0.06335053940278453, -0.060370876589110375, 0.0607447016675881, -0.01049468881526106, 0.04918797236766566, 0.09451287898637757, -0.10804866802425601, -0.08499228873768368, 0.37290760666459194, -0.08758860088985514, -0.14228143175510136, 0.11327580140425346, -0.10782271843227381, -0.1881138618934799, 0.024447014372846163, 0.15187931557915904, 0.1999814762054263, 0.02639752482315777, 0.21413176095056524, -0.14232165591690588, 0.07515506922091181, 0.07282014037608295, -0.06000504662861695, 0.08287502485453277, 0.11857098200975137, 0.06421637846811004, 0.16110091364464244, -0.005870528310707242, 0.004143815210743531, -0.39144316708316673, -0.23984619866855242, -0.08479067942479977, 0.15974432837243216, -0.10135306483347006, -0.1716562572715653, 0.40858518378666525, 0.1008458638727363, 0.2049256188014673, 0.12506627204601425, 0.24578335518772537, 0.04897825754675511, 0.040930978204218066, 0.07581430883776094, 0.13894523986390275, 0.2467778065946658, -0.07072371827136423, -0.16409367388366042, -0.03702724279483428, 0.203082233591861] |
711.4451 | Fundamental properties of low-mass stars | Numerous investigations on the fundamental properties of low-mass stars using
eclipsing binaries indicate a strong discrepancy between theory and
observations that is still awaiting explanation. Current models seem to predict
radii for stars less massive than the Sun that are some 10% smaller than
observed, while their effective temperatures are some 5% larger. Here we
discuss recent new observational data that are relevant to this issue and
review the progress made in understanding the origin of the important
differences with theoretical calculations. Notably, we provide evidence that
stellar activity may be responsible for the mismatch between observations and
theory through two different channels: inhibition of convection or effects of a
significant starspot coverage. The activity hypothesis is put to a test with
observational diagnostics and some of the consequences of the large starspot
coverage are evaluated. We conclude that stellar activity likely plays a key
role in defining the properties of active low-mass stars and that this should
be properly taken into account when investigating young, active stars in
clusters or star-forming regions.
| astro-ph | numerous investigations on the fundamental properties of lowmass stars using eclipsing binaries indicate a strong discrepancy between theory and observations that is still awaiting explanation current models seem to predict radii for stars less massive than the sun that are some 10 smaller than observed while their effective temperatures are some 5 larger here we discuss recent new observational data that are relevant to this issue and review the progress made in understanding the origin of the important differences with theoretical calculations notably we provide evidence that stellar activity may be responsible for the mismatch between observations and theory through two different channels inhibition of convection or effects of a significant starspot coverage the activity hypothesis is put to a test with observational diagnostics and some of the consequences of the large starspot coverage are evaluated we conclude that stellar activity likely plays a key role in defining the properties of active lowmass stars and that this should be properly taken into account when investigating young active stars in clusters or starforming regions | [['numerous', 'investigations', 'on', 'the', 'fundamental', 'properties', 'of', 'lowmass', 'stars', 'using', 'eclipsing', 'binaries', 'indicate', 'a', 'strong', 'discrepancy', 'between', 'theory', 'and', 'observations', 'that', 'is', 'still', 'awaiting', 'explanation', 'current', 'models', 'seem', 'to', 'predict', 'radii', 'for', 'stars', 'less', 'massive', 'than', 'the', 'sun', 'that', 'are', 'some', '10', 'smaller', 'than', 'observed', 'while', 'their', 'effective', 'temperatures', 'are', 'some', '5', 'larger', 'here', 'we', 'discuss', 'recent', 'new', 'observational', 'data', 'that', 'are', 'relevant', 'to', 'this', 'issue', 'and', 'review', 'the', 'progress', 'made', 'in', 'understanding', 'the', 'origin', 'of', 'the', 'important', 'differences', 'with', 'theoretical', 'calculations', 'notably', 'we', 'provide', 'evidence', 'that', 'stellar', 'activity', 'may', 'be', 'responsible', 'for', 'the', 'mismatch', 'between', 'observations', 'and', 'theory', 'through', 'two', 'different', 'channels', 'inhibition', 'of', 'convection', 'or', 'effects', 'of', 'a', 'significant', 'starspot', 'coverage', 'the', 'activity', 'hypothesis', 'is', 'put', 'to', 'a', 'test', 'with', 'observational', 'diagnostics', 'and', 'some', 'of', 'the', 'consequences', 'of', 'the', 'large', 'starspot', 'coverage', 'are', 'evaluated', 'we', 'conclude', 'that', 'stellar', 'activity', 'likely', 'plays', 'a', 'key', 'role', 'in', 'defining', 'the', 'properties', 'of', 'active', 'lowmass', 'stars', 'and', 'that', 'this', 'should', 'be', 'properly', 'taken', 'into', 'account', 'when', 'investigating', 'young', 'active', 'stars', 'in', 'clusters', 'or', 'starforming', 'regions']] | [-0.09426475808325875, 0.17203486701096757, -0.060867405961946626, 0.16164598456783102, -0.10350853040399881, -0.09381020320256407, 0.07584962152574491, 0.3930116808203431, -0.1496784694578951, -0.36599019043836634, 0.09105804280547501, -0.27512132964565317, -0.12268906561496286, 0.22200247811051246, -0.04782609418411389, -0.03222936785085439, 0.10804052285936182, -0.04121150471545309, -0.03375066923397469, -0.23674433103596357, 0.2999288975234235, 0.06741109221899139, 0.17962389958637492, 0.04693391400179422, -0.004855354355562026, -0.10511420689512453, -0.091097988279784, 0.023545936515118732, -0.14513799601940727, 0.10127542672409744, 0.25410065189303144, 0.14146863960935546, 0.2731643800160745, -0.4432012119217415, -0.26763363630373593, 0.07435999835593723, 0.1670776169014976, 0.060411757580946725, -0.11570333558971849, -0.23804490950303098, 0.10135836786078424, -0.13728550375328868, -0.13819007933909622, -0.026272998024531872, 0.0704733155334013, 0.002488422849164425, -0.22828240091831697, 0.0856375475863272, 0.0709808957399639, 0.10849699436250712, -0.11295753609485967, -0.15149738590402603, -0.01802891092321087, 0.14647317946854188, 0.09743815256993292, 0.04064620019749582, 0.1257092298565007, -0.15116030405507008, -0.053168944917576164, 0.3969088690516921, -0.0345431681773881, -0.0872185256485585, 0.24126739562569843, -0.2065871076906003, -0.19891097309401615, 0.08777222021703603, 0.17018256432812856, 0.10115797773832617, -0.15933888336830984, -0.03866538139109936, -0.012283126355251136, 0.17430935276374812, 0.000865153280609002, 0.09536401150382065, 0.34335405885570314, 0.16894610636232346, -0.02379347613576606, 0.0727628944374384, -0.16345026105443133, -0.09771514188961228, -0.25643898338628557, -0.10511555544886673, -0.07057686674817751, 0.04603043929781399, -0.11265142076482897, -0.09856735707685954, 0.3408077634316519, 0.1695424085166682, 0.216362635045167, 0.008230289171121454, 0.28729916491002017, 0.07555877498614823, 0.11049346591755102, 0.07483135913417949, 0.31863813129145346, 0.16869393627918353, 0.030484269342164513, -0.2258486445559824, 0.121509255844739, -0.02528787449249901] |
711.4452 | Covariance and PCA for Categorical Variables | Covariances from categorical variables are defined using a regular simplex
expression for categories. The method follows the variance definition by Gini,
and it gives the covariance as a solution of simultaneous equations. The
calculated results give reasonable values for test data. A method of principal
component analysis (RS-PCA) is also proposed using regular simplex expressions,
which allows easy interpretation of the principal components. The proposed
methods apply to variable selection problem of categorical data USCensus1990
data. The proposed methods give appropriate criterion for the variable
selection problem of categorical
| cs.LG | covariances from categorical variables are defined using a regular simplex expression for categories the method follows the variance definition by gini and it gives the covariance as a solution of simultaneous equations the calculated results give reasonable values for test data a method of principal component analysis rspca is also proposed using regular simplex expressions which allows easy interpretation of the principal components the proposed methods apply to variable selection problem of categorical data uscensus1990 data the proposed methods give appropriate criterion for the variable selection problem of categorical | [['covariances', 'from', 'categorical', 'variables', 'are', 'defined', 'using', 'a', 'regular', 'simplex', 'expression', 'for', 'categories', 'the', 'method', 'follows', 'the', 'variance', 'definition', 'by', 'gini', 'and', 'it', 'gives', 'the', 'covariance', 'as', 'a', 'solution', 'of', 'simultaneous', 'equations', 'the', 'calculated', 'results', 'give', 'reasonable', 'values', 'for', 'test', 'data', 'a', 'method', 'of', 'principal', 'component', 'analysis', 'rspca', 'is', 'also', 'proposed', 'using', 'regular', 'simplex', 'expressions', 'which', 'allows', 'easy', 'interpretation', 'of', 'the', 'principal', 'components', 'the', 'proposed', 'methods', 'apply', 'to', 'variable', 'selection', 'problem', 'of', 'categorical', 'data', 'uscensus1990', 'data', 'the', 'proposed', 'methods', 'give', 'appropriate', 'criterion', 'for', 'the', 'variable', 'selection', 'problem', 'of', 'categorical']] | [-0.053636344085479605, -0.04956474123608278, -0.1600577340664706, 0.11392926426481284, -0.11443118518753641, -0.17367914658917608, 0.06100636490369109, 0.33402498340469666, -0.26343831569812765, -0.2760808859073996, 0.12878061981935954, -0.2162199552340203, -0.13422808521052546, 0.21260123569304232, -0.10441572104591405, 0.06528686973866445, 0.10167356137314747, 0.034224705037329044, -0.07020962656871683, -0.2540748420374832, 0.3324200268941878, 0.03192384514272555, 0.34503134963070525, -0.042303351294677494, 0.1797639125537083, 0.07116641842321246, -0.12113876402078347, 0.054824336164299096, -0.12044609027604262, 0.14705284869822877, 0.28374200774056985, 0.21188365631126638, 0.2692296986799987, -0.3265955798467086, -0.17727402827820216, 0.085030155973616, 0.09452821257063883, 0.07588196422599641, 0.016534496259329647, -0.26126925326113043, 0.052164392460180425, -0.1604316134290802, -0.12181909302592106, -0.1633505580582838, 0.02319402264795084, -0.00412812045689715, -0.3624443569188488, 0.10818309366037994, 0.06542699973482971, 0.07344110657450283, -0.11524317570729181, -0.1672761607701066, -0.0018383677427967389, 0.08754126794486382, 0.061172533546167626, -0.015549698512701467, 0.09564310983465664, -0.03717762755294298, -0.13193124274712528, 0.35930583283476447, -0.047754466169695746, -0.27030136108655356, 0.12141643757878363, -0.06987301550869798, -0.15411732523520102, 0.12552845923915162, 0.11914211022935209, 0.13187899077632304, -0.16256826612349043, 0.07344034157797759, -0.07414590361817129, 0.11547802348792467, 0.014895095420337614, -0.009515096957998714, 0.1262899866199185, 0.1187373645732115, 0.05616047853881951, 0.16828436058967364, -0.10623265304013915, -0.053195170587164234, -0.32211071612506076, -0.1287530325995437, -0.1953482510596942, -0.028926361522144884, -0.19550565848024642, -0.1967931004005602, 0.3956727946241354, 0.15883347107333012, 0.20341214126554027, 0.10791129424188543, 0.31177780867136756, 0.14716765735078946, 0.0417822879717696, 0.0268895474754959, 0.11292989300456883, 0.21237529586229859, 0.05265563600107856, -0.1409594122100964, 0.10123179655457878, 0.12141533397759001] |
711.4453 | Singular elliptic genus of normal surfaces | We define the singular elliptic genus for arbitrary normal surfaces, prove
that it is a birational invariant, and show that it generalizes the singular
elliptic genus of Borisov and Libgober and the stringy $\chi_y$ genus of
Batyrev and Veys.
| math.AG | we define the singular elliptic genus for arbitrary normal surfaces prove that it is a birational invariant and show that it generalizes the singular elliptic genus of borisov and libgober and the stringy chi_y genus of batyrev and veys | [['we', 'define', 'the', 'singular', 'elliptic', 'genus', 'for', 'arbitrary', 'normal', 'surfaces', 'prove', 'that', 'it', 'is', 'a', 'birational', 'invariant', 'and', 'show', 'that', 'it', 'generalizes', 'the', 'singular', 'elliptic', 'genus', 'of', 'borisov', 'and', 'libgober', 'and', 'the', 'stringy', 'chi_y', 'genus', 'of', 'batyrev', 'and', 'veys']] | [-0.2093010887455864, 0.0720196303505546, -0.19527152304848036, 0.15149745155567637, -0.107824652049786, -0.24684887621790552, -0.1047646392805454, 0.21959941495114413, -0.2838423991790758, -0.19463616098539951, 0.059905459280484, -0.29698120353695673, -0.21490016134264758, 0.2517656964273789, -0.2522158924346933, 0.0688434458600405, 0.04659225515877971, 0.03018887331470465, -0.10634108170723686, -0.3553184258918732, 0.5034856116160368, -0.16401412970840168, 0.1887526021171839, 0.16423254323979983, 0.1578199063272526, 0.02639315412260401, 0.01751643966119259, -0.04735190187318203, -0.18497475835036498, 0.1719613891477004, 0.350479256743804, -0.012295547323540235, 0.03548780661553909, -0.3126913076505447, -0.16271182015920296, 0.20913488864421081, 0.047170536138881475, 0.016768122975451823, 0.04513314501860012, -0.22426782596187714, 0.11044227066808023, -0.12182795521444999, -0.27823370924362767, -0.1095368867763915, 0.06403654854362592, -0.0012643887446476864, -0.1851250751851461, 0.0016642387192218732, 0.15112334303557873, 0.13073344139430004, 0.02579501402588227, -0.11967677713777775, -0.1619555486175112, -0.010510429930992616, 0.04271893799663163, 0.10011684036073394, 0.00921283650603026, -0.09068628097287355, -0.07330799391732001, 0.26425490543867153, -0.04071390685231353, -0.19954603385084715, 0.04534017547177008, -0.12084091395044173, -0.1655525756187928, 0.12801491402280638, 0.08056173378076309, 0.24971734063747603, 0.07061379316907662, 0.2234701477409078, -0.1279678386486828, 0.03095893036478605, 0.22126793780196935, -0.14517394250306564, 0.07856876613237919, 0.014068686809295263, 0.11495837890423644, 0.15045434266525823, -0.00600555715843653, -0.02216863617874109, -0.3732074193465404, -0.28067571321168006, -0.07929044742232715, 0.23798839788501844, -0.1445156270503783, -0.21387028474456224, 0.43906677700579166, 0.014923366598593883, 0.17425762838684022, 0.19442949226746956, 0.22755829588128015, 0.03998016169629036, -0.016512465997575186, 0.10616694406295817, 0.14505768874182534, 0.1981560586927793, -0.051607139933949865, -0.15960507626191545, -0.054246654542974934, 0.2727462372336632] |
711.4454 | Non-LTE line formation for heavy elements in four very metal-poor stars | Stellar parameters and abundances of Na, Mg, Al, K, Ca, Sr, Ba, and Eu are
determined for four very metal-poor stars (-2.66 < [Fe/H] < -2.15) based on
non-LTE line formation and analysis of high-resolution (R ~60000 and 90000)
high signal-to-noise (S/N > 200) observed spectra. A model atom for H I is
presented. An effective temperature was obtained from the Balmer Halpha and
Hbeta line wing fits, the surface gravity from the Hipparcos parallax if
available and the non-LTE ionization balance between Ca I and Ca II. Based on
the hyperfine structure affecting the Ba II resonance line, the fractional
abundance of the odd isotopes of Ba was derived for HD 84937 and HD 122563 from
a requirement that Ba abundances from the resonance line and subordinate lines
of Ba II must be equal. For each star, non-LTE leads to a consistency of Teff
from two Balmer lines and to a higher temperature compared to the LTE case, by
up to 60 K. Non-LTE effects are important in spectroscopic determination of
surface gravity from Ca I/Ca II. For each star with a known trigonometric
gravity, non-LTE abundances from the lines of two ionization stages agree
within the error bars, while a difference in the LTE abundances consists of
0.23 dex to 0.40 dex for different stars. Departures from LTE are found to be
significant for the investigated atoms, and they strongly depend on stellar
parameters. For HD 84937, the Eu/Ba ratio is consistent with the relative solar
system r-process abundances, and the fraction of the odd isotopes of Ba, f_odd,
equals 0.43+-0.14. The latter can serve as a constraint on r-process models.
The lower Eu/Ba ratio and f_odd = 0.22+-0.15 found for HD 122563 suggest that
the s-process or the unknown process has contributed significantly to the Ba
abundance in this star.
| astro-ph | stellar parameters and abundances of na mg al k ca sr ba and eu are determined for four very metalpoor stars 266 feh 215 based on nonlte line formation and analysis of highresolution r 60000 and 90000 high signaltonoise sn 200 observed spectra a model atom for h i is presented an effective temperature was obtained from the balmer halpha and hbeta line wing fits the surface gravity from the hipparcos parallax if available and the nonlte ionization balance between ca i and ca ii based on the hyperfine structure affecting the ba ii resonance line the fractional abundance of the odd isotopes of ba was derived for hd 84937 and hd 122563 from a requirement that ba abundances from the resonance line and subordinate lines of ba ii must be equal for each star nonlte leads to a consistency of teff from two balmer lines and to a higher temperature compared to the lte case by up to 60 k nonlte effects are important in spectroscopic determination of surface gravity from ca ica ii for each star with a known trigonometric gravity nonlte abundances from the lines of two ionization stages agree within the error bars while a difference in the lte abundances consists of 023 dex to 040 dex for different stars departures from lte are found to be significant for the investigated atoms and they strongly depend on stellar parameters for hd 84937 the euba ratio is consistent with the relative solar system rprocess abundances and the fraction of the odd isotopes of ba f_odd equals 043014 the latter can serve as a constraint on rprocess models the lower euba ratio and f_odd 022015 found for hd 122563 suggest that the sprocess or the unknown process has contributed significantly to the ba abundance in this star | [['stellar', 'parameters', 'and', 'abundances', 'of', 'na', 'mg', 'al', 'k', 'ca', 'sr', 'ba', 'and', 'eu', 'are', 'determined', 'for', 'four', 'very', 'metalpoor', 'stars', '266', 'feh', '215', 'based', 'on', 'nonlte', 'line', 'formation', 'and', 'analysis', 'of', 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711.4455 | Long standing problem of 210Bi and the realistic neutron-proton
effective interaction | The odd-odd nucleus 210Bi is studied within the framework of the shell model
using effective two-body matrix elements derived from the CD-Bonn
nucleon-nucleon potential. The experimental energies of the proton-neutron
multiplet ph9/2 ng9/2 are remarkably well reproduced by the theory, which
accounts for the 1- state being the ground state instead of the 0- predicted by
the Nordheim strong coupling rule. It is shown that the core-polarization
effects are crucial to produce this inversion. The similarity between
neutron-proton multiplets in the 132Sn and 208Pb regions is discussed in
connection with the effective interaction.
| nucl-th | the oddodd nucleus 210bi is studied within the framework of the shell model using effective twobody matrix elements derived from the cdbonn nucleonnucleon potential the experimental energies of the protonneutron multiplet ph92 ng92 are remarkably well reproduced by the theory which accounts for the 1 state being the ground state instead of the 0 predicted by the nordheim strong coupling rule it is shown that the corepolarization effects are crucial to produce this inversion the similarity between neutronproton multiplets in the 132sn and 208pb regions is discussed in connection with the effective interaction | [['the', 'oddodd', 'nucleus', '210bi', 'is', 'studied', 'within', 'the', 'framework', 'of', 'the', 'shell', 'model', 'using', 'effective', 'twobody', 'matrix', 'elements', 'derived', 'from', 'the', 'cdbonn', 'nucleonnucleon', 'potential', 'the', 'experimental', 'energies', 'of', 'the', 'protonneutron', 'multiplet', 'ph92', 'ng92', 'are', 'remarkably', 'well', 'reproduced', 'by', 'the', 'theory', 'which', 'accounts', 'for', 'the', '1', 'state', 'being', 'the', 'ground', 'state', 'instead', 'of', 'the', '0', 'predicted', 'by', 'the', 'nordheim', 'strong', 'coupling', 'rule', 'it', 'is', 'shown', 'that', 'the', 'corepolarization', 'effects', 'are', 'crucial', 'to', 'produce', 'this', 'inversion', 'the', 'similarity', 'between', 'neutronproton', 'multiplets', 'in', 'the', '132sn', 'and', '208pb', 'regions', 'is', 'discussed', 'in', 'connection', 'with', 'the', 'effective', 'interaction']] | [-0.059446254006975875, 0.1651317696956979, -0.06123405410447619, 0.15899238171782548, 0.03715541572975261, -0.12328956323256204, 0.02108600088216078, 0.35699244465801744, -0.19988811794402345, -0.2932973496800104, -0.03669720533774695, -0.30643890441426047, -0.10550320923205588, 0.0727404708344653, 0.10543427960998328, 0.01293067042306475, 0.0373684434273925, 0.06939722098164507, -0.08263625924802989, -0.14126863869791084, 0.3416475454232768, 0.07989604020962021, 0.24824725015723442, 0.11332981394494149, 0.04488120909145737, 0.028039957626958142, 0.040949967597063715, -0.03488666382055361, -0.0653438168008726, 0.11364651341656488, 0.25599553566848204, 0.037978084348551516, 0.1668923634595678, -0.4107686318661813, -0.1888270584948279, 0.07161915617749341, 0.13599468375157034, 0.16818908598289345, -0.051546440756582955, -0.3570910315643382, 0.03424413238682753, -0.2466383423492476, -0.14919945392962342, -0.10399029583281295, 0.05598733853804623, 0.03615423310855097, -0.2798240241539603, 0.09408253097105873, -0.009222081124240144, 0.0147867823776963, -0.1295260993948022, -0.2306707969989505, -0.05855658198297433, 0.09014261315914464, 0.11584377634866101, 0.050205738467911445, 0.12408291512158709, -0.12562912355873038, -0.03297643904871011, 0.4245990364310833, -0.013498848057249664, -0.1412458546398269, 0.10269979072049014, -0.1054818480490492, -0.06776797289417667, 0.13380377483810044, 0.06340380394728956, 0.10412490449763917, -0.17281743235742816, 0.13308718824019697, -0.03608526909662472, 0.17073756180688288, 0.004784006638206787, 0.010830951399159627, 0.159385995590128, 0.16181613147709067, -0.03699973486568574, 0.0628173540968059, -0.12916798066798146, -0.1501833538442932, -0.32542175832358033, -0.03573642607655499, -0.18676933432304924, -0.006773756376907721, -0.06397245135359789, -0.08887248534477664, 0.37112006719561885, 0.0637359807656689, 0.1970674408328525, -0.0068092396326751995, 0.2462915950761801, 0.11908578106130545, 0.10943684753306865, 0.03369229779051678, 0.37964315435102025, 0.2415682380752904, 0.04079600780240291, -0.2959820280608895, 0.05787606545017807, 0.0955024453923925] |
711.4456 | A Direct Proof of the Theorem on Formal Functions | We give a direct and elementary proof of the theorem on formal functions by
studying the behaviour of the Godement resolution of a sheaf of modules under
completion.
| math.AG | we give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the godement resolution of a sheaf of modules under completion | [['we', 'give', 'a', 'direct', 'and', 'elementary', 'proof', 'of', 'the', 'theorem', 'on', 'formal', 'functions', 'by', 'studying', 'the', 'behaviour', 'of', 'the', 'godement', 'resolution', 'of', 'a', 'sheaf', 'of', 'modules', 'under', 'completion']] | [-0.17737038709622407, -0.0016179717079337155, -0.1816131442652217, 0.0710549565763878, -0.0639615966938436, -0.06585194885597698, 0.04364008197028722, 0.29056680016219616, -0.28588663946305004, -0.22313364754830087, 0.13987654658766197, -0.1650017890413957, -0.11573754477389489, 0.2287890112160572, -0.09576022019609809, -0.035327138512262275, 0.06598823969917637, 0.05332661257125437, -0.0999523978347757, -0.20709980448840984, 0.4012139906574573, 0.06273225162710462, 0.2379387617111206, 0.12271681243977842, 0.17291474914444344, 0.1135274870154847, -0.08902829205284693, -0.04437856006968234, -0.16713362113971794, 0.17734774266968348, 0.27559194900095463, 0.12432605914571988, 0.23354261864109763, -0.42472883633204866, -0.09029761500590082, 0.10264690433229719, 0.052234797089892836, 0.02138935268989631, -0.02726326568933603, -0.27513009615774664, 0.13541222027769045, -0.17677018877917103, -0.14127113073066408, -0.09274344349146954, 0.004775652778334916, 0.06113533356360027, -0.2160234513409835, 0.006591314882306116, 0.14281401610268013, 0.18231372980933105, -0.08740201289765537, -0.057698275395003815, 0.03088837507363808, 0.056770713633990715, 0.002526352115507637, -0.05901015361970557, 0.12177049283803042, -0.1653190160702382, -0.1416945800717388, 0.33752284036017954, -0.0837295202405325, -0.1913221931816744, 0.17121613757418735, -0.12770766354099447, -0.13777277382489825, 0.1041255643857377, 0.04656017352161663, 0.1636312885342964, -0.04123613201746983, 0.16587445048207883, -0.12247300470647003, 0.09603415609204344, 0.09135552509022611, 0.07254745654894837, 0.1428947298721011, 0.19150020570045204, 0.06751738378911146, 0.12950060649641923, 0.0461160229003456, -0.01386966057387846, -0.4002859881147742, -0.23617897581841266, -0.13285925729931997, 0.15817402489483356, -0.08117239647305853, -0.1934387605703835, 0.48065523703449536, 0.0529641248452078, 0.20537667907774448, 0.1819918800611049, 0.2724161086870091, 0.1154953853027629, 0.0523891400579097, -0.06444827756578368, 0.16603138003431792, 0.22611829539528117, 0.02896513498853892, -0.10264325235038996, 0.003921803885272571, 0.22538128761308535] |
711.4457 | Bounds for the covariance of functions of infinite variance stable
random variables with applications to central limit theorems and
wavelet-based estimation | We establish bounds for the covariance of a large class of functions of
infinite variance stable random variables, including unbounded functions such
as the power function and the logarithm. These bounds involve measures of
dependence between the stable variables, some of which are new. The bounds are
also used to deduce the central limit theorem for unbounded functions of stable
moving average time series. This result extends the earlier results of Tailen
Hsing and the authors on central limit theorems for bounded functions of stable
moving averages. It can be used to show asymptotic normality of wavelet-based
estimators of the self-similarity parameter in fractional stable motions.
| math.ST stat.TH | we establish bounds for the covariance of a large class of functions of infinite variance stable random variables including unbounded functions such as the power function and the logarithm these bounds involve measures of dependence between the stable variables some of which are new the bounds are also used to deduce the central limit theorem for unbounded functions of stable moving average time series this result extends the earlier results of tailen hsing and the authors on central limit theorems for bounded functions of stable moving averages it can be used to show asymptotic normality of waveletbased estimators of the selfsimilarity parameter in fractional stable motions | [['we', 'establish', 'bounds', 'for', 'the', 'covariance', 'of', 'a', 'large', 'class', 'of', 'functions', 'of', 'infinite', 'variance', 'stable', 'random', 'variables', 'including', 'unbounded', 'functions', 'such', 'as', 'the', 'power', 'function', 'and', 'the', 'logarithm', 'these', 'bounds', 'involve', 'measures', 'of', 'dependence', 'between', 'the', 'stable', 'variables', 'some', 'of', 'which', 'are', 'new', 'the', 'bounds', 'are', 'also', 'used', 'to', 'deduce', 'the', 'central', 'limit', 'theorem', 'for', 'unbounded', 'functions', 'of', 'stable', 'moving', 'average', 'time', 'series', 'this', 'result', 'extends', 'the', 'earlier', 'results', 'of', 'tailen', 'hsing', 'and', 'the', 'authors', 'on', 'central', 'limit', 'theorems', 'for', 'bounded', 'functions', 'of', 'stable', 'moving', 'averages', 'it', 'can', 'be', 'used', 'to', 'show', 'asymptotic', 'normality', 'of', 'waveletbased', 'estimators', 'of', 'the', 'selfsimilarity', 'parameter', 'in', 'fractional', 'stable', 'motions']] | [-0.10616414019217094, 0.12025082634229745, -0.141486758472664, 0.11768409907263482, -0.02718732857278415, -0.08450871531053313, 0.05830364167036134, 0.3068892431046282, -0.28028955761165847, -0.254946533120459, 0.14998354560673413, -0.24285125657916068, -0.1054445132613182, 0.24832752722182444, -0.07841059871993604, 0.12770970402108062, 0.01120942821726203, 0.029589946492619458, -0.08294385299086571, -0.2533404252724722, 0.30078429850261834, -0.008908749939430327, 0.2488352343706148, 0.02687065133470155, 0.0978754945365446, 0.016232057616469404, -0.08030669543271264, 0.00961932445920649, -0.1682407755049921, 0.13605820378288627, 0.23380904580865589, 0.08338819552833836, 0.28653287945226547, -0.36750696720111936, -0.18068943788253125, 0.1682135512387114, 0.11842352940833994, 0.03901916744431392, 0.02116947599570267, -0.27580954812112307, 0.11272766385227442, -0.15075419876014903, -0.19778013032351044, -0.0943538583637703, 0.03593508179876066, 0.14588351788974943, -0.326028735731684, 0.13987297118791112, 0.13771284813770934, 0.04185086866131141, -0.07595643291161173, -0.14469058052858427, -0.004230876608441274, 0.13768253291380547, 0.09575248249762115, -0.04077394884079695, 0.11557807108121258, -0.08490298250911846, -0.10588824245191755, 0.277958434518604, -0.09579519437892096, -0.23977910270470948, 0.16370283289856855, -0.17936193083102506, -0.17493282892696915, 0.0849880670507749, 0.1888347136832419, 0.18211080316631567, -0.08308422781881832, 0.12159535352561977, -0.07623144251604876, 0.09234230550272124, 0.09891824211393084, 0.09072620691288086, 0.10969235186598131, 0.0797420852241062, 0.15054971319401547, 0.17644962092883706, -0.05216933902840884, -0.12961781146004797, -0.35351048970506305, -0.12464928559604145, -0.18020114630815529, 0.028491299874371007, -0.21175975181312034, -0.23081503432088843, 0.3594664293917872, 0.11385736189605225, 0.19055722690231744, 0.1418603861538161, 0.22353537270710583, 0.20422451609546052, 0.03919452098419979, 0.09563630419295459, 0.19549357620250832, 0.19192069739857245, 0.04240919385726253, -0.12748971696765649, 0.07664742730557919, 0.12211642270239757] |
711.4458 | Bose-Fermi Pair Correlations in Attractively Interacting Bose-Fermi
Atomic Mixtures | We study static properties of attractively interacting Bose-Fermi mixtures of
uniform atomic gases at zero temperature. Using Green's function formalism we
calculate boson-fermion scattering amplitude and fermion self-energy in the
medium to lowest order of the hole line expansion. We study ground state energy
and pressure as functions of the scattering length for a few values of the
boson-fermion mass ratio $m_b/m_f$ and the number ratio $N_b/N_f$. We find that
the attractive contribution to energy is greatly enhanced for small values of
the mass ratio. We study the role of the Bose-Fermi pair correlations in the
mixture by calculating the pole of the boson-fermion scattering amplitude in
the medium. The pole shows a standard quasiparticle dispersion for a Bose-Fermi
pair, for $m_b/m_f\geq 1$. For small values of the mass ratio, on the other
hand, a Bose-Fermi pair with a finite center-of-mass momentum experiences a
strong attraction, implying large medium effects. In addition, we also study
the fermion dispersion relation. We find two dispersion branches with the
possibility of the avoided crossings. This strongly depends on the number rario
$N_b/N_f$.
| cond-mat.other cond-mat.stat-mech | we study static properties of attractively interacting bosefermi mixtures of uniform atomic gases at zero temperature using greens function formalism we calculate bosonfermion scattering amplitude and fermion selfenergy in the medium to lowest order of the hole line expansion we study ground state energy and pressure as functions of the scattering length for a few values of the bosonfermion mass ratio m_bm_f and the number ratio n_bn_f we find that the attractive contribution to energy is greatly enhanced for small values of the mass ratio we study the role of the bosefermi pair correlations in the mixture by calculating the pole of the bosonfermion scattering amplitude in the medium the pole shows a standard quasiparticle dispersion for a bosefermi pair for m_bm_fgeq 1 for small values of the mass ratio on the other hand a bosefermi pair with a finite centerofmass momentum experiences a strong attraction implying large medium effects in addition we also study the fermion dispersion relation we find two dispersion branches with the possibility of the avoided crossings this strongly depends on the number rario n_bn_f | [['we', 'study', 'static', 'properties', 'of', 'attractively', 'interacting', 'bosefermi', 'mixtures', 'of', 'uniform', 'atomic', 'gases', 'at', 'zero', 'temperature', 'using', 'greens', 'function', 'formalism', 'we', 'calculate', 'bosonfermion', 'scattering', 'amplitude', 'and', 'fermion', 'selfenergy', 'in', 'the', 'medium', 'to', 'lowest', 'order', 'of', 'the', 'hole', 'line', 'expansion', 'we', 'study', 'ground', 'state', 'energy', 'and', 'pressure', 'as', 'functions', 'of', 'the', 'scattering', 'length', 'for', 'a', 'few', 'values', 'of', 'the', 'bosonfermion', 'mass', 'ratio', 'm_bm_f', 'and', 'the', 'number', 'ratio', 'n_bn_f', 'we', 'find', 'that', 'the', 'attractive', 'contribution', 'to', 'energy', 'is', 'greatly', 'enhanced', 'for', 'small', 'values', 'of', 'the', 'mass', 'ratio', 'we', 'study', 'the', 'role', 'of', 'the', 'bosefermi', 'pair', 'correlations', 'in', 'the', 'mixture', 'by', 'calculating', 'the', 'pole', 'of', 'the', 'bosonfermion', 'scattering', 'amplitude', 'in', 'the', 'medium', 'the', 'pole', 'shows', 'a', 'standard', 'quasiparticle', 'dispersion', 'for', 'a', 'bosefermi', 'pair', 'for', 'm_bm_fgeq', '1', 'for', 'small', 'values', 'of', 'the', 'mass', 'ratio', 'on', 'the', 'other', 'hand', 'a', 'bosefermi', 'pair', 'with', 'a', 'finite', 'centerofmass', 'momentum', 'experiences', 'a', 'strong', 'attraction', 'implying', 'large', 'medium', 'effects', 'in', 'addition', 'we', 'also', 'study', 'the', 'fermion', 'dispersion', 'relation', 'we', 'find', 'two', 'dispersion', 'branches', 'with', 'the', 'possibility', 'of', 'the', 'avoided', 'crossings', 'this', 'strongly', 'depends', 'on', 'the', 'number', 'rario', 'n_bn_f']] | [-0.17948571343863892, 0.20648476566632532, -0.06794260863204148, 0.09919339827452363, -0.015951417041254568, -0.08218440890248696, 0.0789972979890246, 0.3417831640134947, -0.21031314609254795, -0.2758197674371662, -0.028882376677674158, -0.2972166102633558, -0.0808173963768323, 0.13696466438969682, 0.09599038349485702, 0.025267697160581356, 0.024542582149892536, 0.031409512400965796, -0.10558041941972492, -0.18465251360347876, 0.3814727865088075, 0.04120891071612608, 0.28331148672044615, 0.13984751856928182, 0.06326744572883895, 0.08133488923935643, 0.04301691395812668, 0.0033915063646749, -0.14779620166142526, 0.048174702445976436, 0.18700145307626703, -0.018621653254905886, 0.20393362862259065, -0.3419455387100408, -0.1675278157980012, 0.12020340936247852, 0.1585666400391016, 0.13457702384568454, -0.04745614493863699, -0.24155195580467329, -0.01590325667612805, -0.21555967154827985, -0.20671467696030793, -0.03982513466458344, 0.028115988346557555, 0.02443327177157202, -0.265969052799681, 0.12635088463651878, -0.00013947049393953586, 0.03521042422454974, -0.07062258749978025, -0.15800091162203567, -0.024145938565859316, 0.05631805113675496, 0.05367543267229022, -0.004269153140326539, 0.1311963402258698, -0.19414104425628798, -0.006837238163412126, 0.36193957897326484, -0.13759178350433518, -0.17081527845849367, 0.21275247291090305, -0.18419220863539854, -0.08060181712393057, 0.1503867523133522, 0.16088358109382997, 0.07432474125115815, -0.12024267794119871, 0.09529711203867919, -0.05740144581068307, 0.18330421357214535, 0.07442800094378815, 0.07049449705465866, 0.2699520660204474, 0.14059358254202048, 0.008681684494314884, 0.16558166416342085, -0.14134208947176707, -0.09121562087834305, -0.2689787939466028, -0.14658694175343293, -0.19573863537913316, 0.004742181178616275, -0.09883143185793002, -0.17926087604560467, 0.3516390354145022, 0.11846172133118671, 0.2506167741058479, 0.04287718317804816, 0.2750646028606835, 0.18232998179453055, 0.04210076477135193, 0.03379352205493805, 0.2738094942019829, 0.16763904097619656, 0.05305774833223867, -0.33123096836656757, -0.02682054809040644, 0.09586219517752231] |
711.4459 | Transitive projective planes and 2-rank | Suppose that a group $G$ acts transitively on the points of a
non-Desarguesian plane, $\mathcal{P}$. We prove first that the Sylow
2-subgroups of $G$ are cyclic or generalized quaternion. We also prove that
$\mathcal{P}$ must admit an odd order automorphism group which acts
transitively on the set of points of $\mathcal{P}$.
| math.GR math.CO | suppose that a group g acts transitively on the points of a nondesarguesian plane mathcalp we prove first that the sylow 2subgroups of g are cyclic or generalized quaternion we also prove that mathcalp must admit an odd order automorphism group which acts transitively on the set of points of mathcalp | [['suppose', 'that', 'a', 'group', 'g', 'acts', 'transitively', 'on', 'the', 'points', 'of', 'a', 'nondesarguesian', 'plane', 'mathcalp', 'we', 'prove', 'first', 'that', 'the', 'sylow', '2subgroups', 'of', 'g', 'are', 'cyclic', 'or', 'generalized', 'quaternion', 'we', 'also', 'prove', 'that', 'mathcalp', 'must', 'admit', 'an', 'odd', 'order', 'automorphism', 'group', 'which', 'acts', 'transitively', 'on', 'the', 'set', 'of', 'points', 'of', 'mathcalp']] | [-0.2978861435252589, 0.15393158504265753, -0.13893586705785757, -0.03858729963209115, -0.20310695118763866, -0.10189896754409168, 0.027456335979057292, 0.389042192741352, -0.34368936564115915, -0.16231604446383083, 0.08146590952231895, -0.31709402962131245, -0.14250026934086255, 0.157661492621307, -0.1423963092486648, -0.10515921659694583, 0.02501532371502881, 0.2075420893071329, -0.09167021197522533, -0.32375017436696035, 0.3709043489367354, -0.13956650051827013, 0.19838533559631483, -0.004736580767248776, 0.16949197187946707, 0.04111239962352842, 0.05032949332220882, -0.000802342140791463, -0.14168979382520774, -0.021979315754245308, 0.255890182968156, 0.03287318071313933, 0.18430204096583502, -0.4025525300233972, -0.09569038890813496, 0.3166004036206241, 0.13956817614791148, -0.06571030984952242, -0.04364179491576757, -0.2629512616743644, 0.1671606116909899, -0.16671237228986094, -0.1792811580166659, -0.032563019854327045, 0.11151409534481811, 0.0034302524564897314, -0.23568146015681765, -0.08636564610345636, 0.14773999965366194, 0.1143381718692242, 0.007666270349028648, -0.14687603450946363, -0.15004468820167377, 0.09549961953570008, -0.08090032600596839, 0.06586848302543455, 0.08997410091151502, 0.037546973036346486, -0.1344135330040373, 0.4730179114084618, -0.0073338017602652015, -0.22018074419568567, 0.03047329004780919, -0.18863658081082738, -0.2219407576611083, 0.06455918779487119, 0.14243811160764275, 0.1902191067735354, 0.04973536326239506, 0.24287311940262205, -0.25632064840665053, 0.12381830523886225, 0.09468840054400704, -0.06266583024761548, 0.10003014754357875, 0.0594273123287541, 0.1999374180484344, 0.11859197721031367, 0.056313709638939766, 0.10041629842610336, -0.4509989318310046, -0.146246619960841, -0.142592167547977, 0.14933535142564305, -0.12427166712415569, -0.21090606048557103, 0.34991144732225177, 0.06443976794652567, 0.127661919623029, 0.06941282627967131, 0.13048343944783306, 0.008990912075330247, 0.07745117093345114, 0.1635280532737299, 0.008282983529509283, 0.18381783187243284, -0.26593856610284716, -0.20060297119540765, -0.027151010081391123, 0.2518001171376775] |
711.446 | Physics in the multiverse: an introductory review | This brief note, written for non-specialists, aims at drawing an introductive
overview of the multiverse issue.
| astro-ph gr-qc hep-ph hep-th quant-ph | this brief note written for nonspecialists aims at drawing an introductive overview of the multiverse issue | [['this', 'brief', 'note', 'written', 'for', 'nonspecialists', 'aims', 'at', 'drawing', 'an', 'introductive', 'overview', 'of', 'the', 'multiverse', 'issue']] | [-0.11834168853238225, 0.06675668175103056, -0.10713476946693845, 0.12635248080914607, -0.1977359929587692, -0.10815384658053517, -0.03023526561446488, 0.3131601079367101, -0.19452925235964358, -0.3358712279004976, 0.06974476453615353, -0.2801659342367202, -0.1037219560239464, 0.09079827897949144, -0.20822781755123287, -0.060214661149075255, 0.11286940239369869, 0.02353227324783802, -0.08244558503793087, -0.2992188587086275, 0.34668179391883314, 0.15553752263076603, 0.2386729150894098, 0.16054128983523697, 0.12829818722093478, 0.018754498538328335, -0.1558633049717173, -0.04637259058654308, -0.28267699625575915, 0.1133125604246743, 0.401890872803051, 0.26496573991607875, 0.40904678869992495, -0.49913693498820066, -0.011273189447820187, 0.03256226354278624, 0.17199727572733536, 0.15204770560376346, -0.09728367417119443, -0.2520732169505209, -0.050558155751787126, -0.20723401848226786, -0.2063925004331395, 0.02843572967685759, 0.051210682722739875, -0.1743381752166897, -0.10514222807250917, -0.1452758593368344, 0.08382076374255121, 0.2438030932098627, 0.07010801142314449, -0.17416406946722418, 0.2591418261581566, 0.06575299624819309, 0.07649099233094603, 0.17214479003450833, 0.026272298593539745, -0.11746248205599841, -0.07349985506152734, 0.3665268085896969, -0.020802970917429775, -0.0753868033643812, 0.09266765238862718, -0.037942789727821946, -0.28949389851186424, 0.01882540713995695, 0.14934237700072117, 0.08460087887942791, -0.26311493664979935, 0.06914340803632513, 0.051035334705375135, 0.10131461435230449, 0.012372296827379614, 0.0415268059950904, 0.4180354680866003, 0.26365220866864547, -0.028849245747551322, 0.14346658904105425, 0.12192251649685204, -0.018088411045027897, -0.4866460422053933, -0.16084845387376845, -0.11391895753331482, 0.10798684949986637, 0.08423530016443692, -0.15743643086170778, 0.43476827442646027, 0.23920820956118405, 0.10213304260832956, 0.05769390781642869, 0.28039976418949664, 0.024864869366865605, -0.1764710299903527, 0.05964547535404563, 0.09447431197622791, 0.031307707307860255, 0.22059582313522696, -0.07331583509221673, 0.025772835622774437, 0.06482740101637319] |
711.4461 | Description of Multiparticle Production by Gluon Dominance Model | The obtained $\pi^{-}$ and charged multiplicity distribution parameters of
Gluon Dominance Model explain the experimental data in nucleus-nucleus, p
nucleus, pd, pp, p antip and $\pi^{-}$(p,n) interactions. We have undertaken an
attempt to give description in different processes of multiparticle production
by means of a unifed approach based on quark-gluon picture using the
phenomenological hadronization. We have obtained agreement of GDM with
experimental data in a very wide energy range.
| hep-ph | the obtained pi and charged multiplicity distribution parameters of gluon dominance model explain the experimental data in nucleusnucleus p nucleus pd pp p antip and pipn interactions we have undertaken an attempt to give description in different processes of multiparticle production by means of a unifed approach based on quarkgluon picture using the phenomenological hadronization we have obtained agreement of gdm with experimental data in a very wide energy range | [['the', 'obtained', 'pi', 'and', 'charged', 'multiplicity', 'distribution', 'parameters', 'of', 'gluon', 'dominance', 'model', 'explain', 'the', 'experimental', 'data', 'in', 'nucleusnucleus', 'p', 'nucleus', 'pd', 'pp', 'p', 'antip', 'and', 'pipn', 'interactions', 'we', 'have', 'undertaken', 'an', 'attempt', 'to', 'give', 'description', 'in', 'different', 'processes', 'of', 'multiparticle', 'production', 'by', 'means', 'of', 'a', 'unifed', 'approach', 'based', 'on', 'quarkgluon', 'picture', 'using', 'the', 'phenomenological', 'hadronization', 'we', 'have', 'obtained', 'agreement', 'of', 'gdm', 'with', 'experimental', 'data', 'in', 'a', 'very', 'wide', 'energy', 'range']] | [-0.05075853889465561, 0.15060568991833387, -0.2023559634049045, 0.1198532423881841, 0.008770795026119205, -0.10137623266411433, 0.007714681354337844, 0.3501277998245011, -0.17351373933606606, -0.3054579205919003, -0.0844789711991325, -0.30746353099095647, -0.008584330560288567, 0.137337931252989, 0.0710521411501627, 0.09967691776599141, 0.12419412499698608, 0.006823957742502292, 0.003066408858116568, -0.17791947746055498, 0.31077780357251567, 0.07930617280088473, 0.2538515418106555, 0.1415233248710823, 0.04531160971838171, 0.10360986284196269, -0.04611093723940649, -0.0041251150162323665, -0.19315448109451952, 0.08148849337105302, 0.28104663369299815, 0.08539170336545161, 0.12439203842718533, -0.41663010628974956, -0.18292578109337584, 0.11153577220882627, 0.12809081057734464, 0.07814418197191064, -0.09029485502084582, -0.26369245838967786, 0.09257313315216723, -0.25526895175647474, -0.1343529737500501, -0.10003394219160512, 0.02713798031386366, 0.012282754942450834, -0.32431501724446815, 0.0856737409569863, -0.017291217583461083, 0.11492432175082681, -0.07167116110213101, -0.211140060318175, -0.023000472967607388, 0.02965587807441319, 0.08266347962384368, 0.0779260449445523, 0.13315005380444336, -0.13954855154767848, -0.1680644192273958, 0.3702264233775761, -0.02134678184149274, -0.1551416719035394, 0.19913401479994797, -0.18020868044265587, -0.13901911625314667, 0.1618267251043648, 0.2203187621401056, 0.09159374428724033, -0.20704925770236962, 0.09328500599688108, -0.04750914615241514, 0.12349622838023672, 0.038698335434647575, 0.03331719772910034, 0.14534634997582305, 0.21951743315203467, -0.11637012550499344, 0.07704432859368947, -0.084797078176685, -0.10250030547056509, -0.3628121212772701, -0.048347751771950206, -0.12460498502343029, 0.054920929403084774, -0.07783129966971329, -0.07688255617530018, 0.34890846731951053, 0.11612197883643102, 0.3078316430783952, -0.006901985736212869, 0.2391861811266753, 0.0802282323061988, -0.000761505628031665, 0.0020914629196235237, 0.2545057708343518, 0.16294245225161422, 0.154016993433723, -0.23359136203762845, 0.06560161361551803, 0.05539712104507708] |
711.4462 | N/Z Dependence of Projectile Fragmentation | The N/Z dependence of projectile fragmentation at relativistic energies has
been studied in a recent experiment at the GSI laboratory with the ALADiN
forward spectrometer coupled to the LAND neutron detector. Besides a primary
beam of 124Sn, also secondary beams of 124La and 107Sn delivered by the FRS
fragment separator have been used in order to extend the range of isotopic
compositions of the produced spectator sources. With the achieved mass
resolution of \Delta A/A \approx 1.5%, lighter isotopes with atomic numbers Z
\le 10 are individually resolved. The presently ongoing analyses of the
measured isotope yields focus on isoscaling and its relation to the properties
of hot fragments at freeze-out and on the derivation of chemical freeze-out
temperatures which are found to be independent of the isotopic composition of
the studied systems. The latter result is at variance with the predictions for
limiting temperatures as obtained with finite-temperature Hartree-Fock
calculations.
| nucl-ex | the nz dependence of projectile fragmentation at relativistic energies has been studied in a recent experiment at the gsi laboratory with the aladin forward spectrometer coupled to the land neutron detector besides a primary beam of 124sn also secondary beams of 124la and 107sn delivered by the frs fragment separator have been used in order to extend the range of isotopic compositions of the produced spectator sources with the achieved mass resolution of delta aa approx 15 lighter isotopes with atomic numbers z le 10 are individually resolved the presently ongoing analyses of the measured isotope yields focus on isoscaling and its relation to the properties of hot fragments at freezeout and on the derivation of chemical freezeout temperatures which are found to be independent of the isotopic composition of the studied systems the latter result is at variance with the predictions for limiting temperatures as obtained with finitetemperature hartreefock calculations | [['the', 'nz', 'dependence', 'of', 'projectile', 'fragmentation', 'at', 'relativistic', 'energies', 'has', 'been', 'studied', 'in', 'a', 'recent', 'experiment', 'at', 'the', 'gsi', 'laboratory', 'with', 'the', 'aladin', 'forward', 'spectrometer', 'coupled', 'to', 'the', 'land', 'neutron', 'detector', 'besides', 'a', 'primary', 'beam', 'of', '124sn', 'also', 'secondary', 'beams', 'of', '124la', 'and', '107sn', 'delivered', 'by', 'the', 'frs', 'fragment', 'separator', 'have', 'been', 'used', 'in', 'order', 'to', 'extend', 'the', 'range', 'of', 'isotopic', 'compositions', 'of', 'the', 'produced', 'spectator', 'sources', 'with', 'the', 'achieved', 'mass', 'resolution', 'of', 'delta', 'aa', 'approx', '15', 'lighter', 'isotopes', 'with', 'atomic', 'numbers', 'z', 'le', '10', 'are', 'individually', 'resolved', 'the', 'presently', 'ongoing', 'analyses', 'of', 'the', 'measured', 'isotope', 'yields', 'focus', 'on', 'isoscaling', 'and', 'its', 'relation', 'to', 'the', 'properties', 'of', 'hot', 'fragments', 'at', 'freezeout', 'and', 'on', 'the', 'derivation', 'of', 'chemical', 'freezeout', 'temperatures', 'which', 'are', 'found', 'to', 'be', 'independent', 'of', 'the', 'isotopic', 'composition', 'of', 'the', 'studied', 'systems', 'the', 'latter', 'result', 'is', 'at', 'variance', 'with', 'the', 'predictions', 'for', 'limiting', 'temperatures', 'as', 'obtained', 'with', 'finitetemperature', 'hartreefock', 'calculations']] | [-0.03517218638482868, 0.21589713038518926, -0.1060982681255763, 0.06773911028967812, 0.04268949861262018, -0.10157572887128602, 0.012636780176028017, 0.3685555071639366, -0.19018136742925704, -0.3265549031021505, -0.012172542066800575, -0.3258319340140516, 0.09602430502618879, 0.1690762875071998, 0.060125535714828614, 0.06667927651633725, 0.07332837458588923, 0.02619313870152668, -0.08549131989318705, -0.19498533200833404, 0.28367082163728524, 0.16049979881858392, 0.20232716093721817, 0.10299311429632223, 0.06664032420599895, -0.031458271445324086, -0.02072644836904592, -0.014130250550806522, -0.17203631475012723, 0.045840944122640254, 0.25891068448244736, 0.08439146835214902, 0.1424974825091364, -0.3863443820953172, -0.18410432874070887, 0.06922726217188582, 0.1294557937476414, 0.05649262137600415, -0.07164149832393703, -0.24515706296418086, 0.08052425661327824, -0.18800429739551433, -0.1626102279197881, -0.01289277236649631, 0.015904312055952698, 0.08951826365232862, -0.2388755049917304, 0.05349694592519725, -0.006280432629093701, 0.11316080109037217, -0.047120399372991395, -0.24984885043224062, -0.058070685130093766, 0.04336363221179472, 0.06991076710424232, 0.03478909280021607, 0.18383492989810984, -0.06432407566296887, -0.02489288006631645, 0.3996538013306181, -0.02687237621207925, -0.07884205513578278, 0.1782102159730202, -0.2228782622988601, -0.16669596836513637, 0.19951182017596253, 0.12969674771367912, 0.1345173281259736, -0.1828527224577026, 0.043642437673368124, 0.0008785791752169168, 0.1704795973017713, 0.14659307379004183, 0.030025592539459467, 0.2040590825891554, 0.19891774375068752, -0.025964973123192122, 0.06981939304811226, -0.15786939717224793, -0.0752853982656306, -0.26359593621239263, -0.09458511858093029, -0.11247551783191546, 0.016608828024180077, -0.020002372870981132, -0.06110822317165027, 0.3325061271004132, 0.07488523082906343, 0.20430305790131456, -0.006985153943540787, 0.28261314121549885, 0.08659257464163277, 0.09870413082843764, -0.0004751098971345172, 0.27967255955426307, 0.20790109420287736, 0.15471411892058734, -0.2793382489930419, 0.06840353570292575, 0.033916323081843114] |
711.4463 | Noncommutativity in space-time extended by Liouville field | The world-sheet quantum conformal invariance can be realized in the presence
of the conformal factor $F$, by inclusion of Liouville term. In the background
with linear dilaton field, $\Phi(x)=\Phi_0+a_\mu x^\mu$, the field $F$ becomes
a new noncommutative variable. Therefore, it is natural to extend space-time
with a new coordinate, $F$, in order to unify expressions for noncommutativity
parameter $\Theta^{ij}$ of the space-time coordinates $x^i$, with the part
$\Theta^i$ connecting noncommutativity between coordinates $x^i$ and $F$. In
this way we solve the problems of Dp-brane noncommutativity in a more elegant
way. The technical advantage uses the fact that in the extended space-time the
action with dilaton field can be rewritten in dilaton free form. We use
canonical method and extend its application to the derivation of boundary
conditions. From requirement that Hamiltonian, as the time translation
generator, has well defined derivatives in the coordinates and momenta, we
obtain boundary conditions directly in the canonical form.
| hep-th | the worldsheet quantum conformal invariance can be realized in the presence of the conformal factor f by inclusion of liouville term in the background with linear dilaton field phixphi_0a_mu xmu the field f becomes a new noncommutative variable therefore it is natural to extend spacetime with a new coordinate f in order to unify expressions for noncommutativity parameter thetaij of the spacetime coordinates xi with the part thetai connecting noncommutativity between coordinates xi and f in this way we solve the problems of dpbrane noncommutativity in a more elegant way the technical advantage uses the fact that in the extended spacetime the action with dilaton field can be rewritten in dilaton free form we use canonical method and extend its application to the derivation of boundary conditions from requirement that hamiltonian as the time translation generator has well defined derivatives in the coordinates and momenta we obtain boundary conditions directly in the canonical form | [['the', 'worldsheet', 'quantum', 'conformal', 'invariance', 'can', 'be', 'realized', 'in', 'the', 'presence', 'of', 'the', 'conformal', 'factor', 'f', 'by', 'inclusion', 'of', 'liouville', 'term', 'in', 'the', 'background', 'with', 'linear', 'dilaton', 'field', 'phixphi_0a_mu', 'xmu', 'the', 'field', 'f', 'becomes', 'a', 'new', 'noncommutative', 'variable', 'therefore', 'it', 'is', 'natural', 'to', 'extend', 'spacetime', 'with', 'a', 'new', 'coordinate', 'f', 'in', 'order', 'to', 'unify', 'expressions', 'for', 'noncommutativity', 'parameter', 'thetaij', 'of', 'the', 'spacetime', 'coordinates', 'xi', 'with', 'the', 'part', 'thetai', 'connecting', 'noncommutativity', 'between', 'coordinates', 'xi', 'and', 'f', 'in', 'this', 'way', 'we', 'solve', 'the', 'problems', 'of', 'dpbrane', 'noncommutativity', 'in', 'a', 'more', 'elegant', 'way', 'the', 'technical', 'advantage', 'uses', 'the', 'fact', 'that', 'in', 'the', 'extended', 'spacetime', 'the', 'action', 'with', 'dilaton', 'field', 'can', 'be', 'rewritten', 'in', 'dilaton', 'free', 'form', 'we', 'use', 'canonical', 'method', 'and', 'extend', 'its', 'application', 'to', 'the', 'derivation', 'of', 'boundary', 'conditions', 'from', 'requirement', 'that', 'hamiltonian', 'as', 'the', 'time', 'translation', 'generator', 'has', 'well', 'defined', 'derivatives', 'in', 'the', 'coordinates', 'and', 'momenta', 'we', 'obtain', 'boundary', 'conditions', 'directly', 'in', 'the', 'canonical', 'form']] | [-0.16466648919504817, 0.12135071784647461, -0.10220662636219774, 0.05227739604956964, -0.13235791234202146, -0.13085325038230983, -0.046527127288677576, 0.315644238278075, -0.26790587045252323, -0.25798539116102104, 0.03690494738406581, -0.21416233833331397, -0.14511770495743143, 0.1413471622855153, -0.08077616664714916, 0.026339283723953284, -0.022000528292219136, 0.08403789677833712, -0.1321413048963044, -0.22861643421640193, 0.36355562819155796, 0.03383711699831598, 0.21502509895937358, -0.002455967096490116, 0.1408438236373507, 0.008881637697972455, 0.0053350668076389265, 0.013651147599672911, -0.11495470748409656, 0.08089102860661893, 0.22271678549864518, 0.09306071490031101, 0.20250032765005588, -0.3939428298195422, -0.20536477438910725, 0.0850500900943587, 0.13468339784813474, 0.09021548812088916, -0.0001921689909543489, -0.3027504020997512, 0.014717631562258379, -0.14576096740837385, -0.18291259807491905, -0.10216327279264387, 0.032517191381011085, -0.06190501467333924, -0.27168897482463056, 0.07028329059834672, 0.07325318282899246, 0.03180044646575755, -0.06331191481672398, -0.04244921800796113, -0.01467788029002525, 0.08259447070836924, 0.1079142038889984, 0.11902419931492676, 0.12149354428345081, -0.12182869192584132, -0.07070127347167703, 0.38335799280967975, -0.11087700880963501, -0.32642582937880277, 0.1016030199026835, -0.17142335165465505, -0.1504048003580762, 0.07871956176434954, 0.11626275066968078, 0.1456731537210883, -0.15019107339112392, 0.24980808332679622, -0.0014048191320053698, 0.13109430054726165, 0.12029254879099409, 0.0468996379895781, 0.1846776647033669, 0.05448981623311399, 0.07889163046710047, 0.1633292066551185, -0.00697822734603987, -0.12320846328937929, -0.4175107462538613, -0.18352371056981118, -0.14035247372816395, 0.09975678055985447, -0.1484431343590057, -0.15019351989183016, 0.35031291975463236, 0.15229387055634327, 0.187518874270038, 0.02387414406376337, 0.23066154951716658, 0.15368560425788041, 0.11787511342170107, 0.0734962294185595, 0.2029679360155783, 0.16483457369297694, 0.09517977548477063, -0.21224031121214376, -0.05637852189943706, 0.14471827488806513] |
711.4464 | Correlated spectral variability in brown dwarfs | Models of brown dwarf atmospheres suggest they exhibit complex physical
behaviour. Observations have shown that they are indeed dynamic, displaying
small photometric variations over timescales of hours. Here I report results of
infrared (0.95-1.64 micron) spectrophotometric monitoring of four field L and T
dwarfs spanning timescales of 0.1-5.5 hrs, the goal being to learn more about
the physical nature of this variability. Spectra are analysed differentially
with respect to a simultaneously observed reference source in order to remove
Earth-atmospheric variations. The variability amplitude detected is typically
2-10%, depending on the source and wavelength. I analyse the data for
correlated variations between spectral indices. This approach is more robust
than single band or chisq analyses, because it does not assume an amplitude for
the (often uncertain) noise level (although the significance test still assumes
a shape for the noise power spectrum). Three of the four targets show
significant evidence for correlated variability. Some of this can be associated
with specific features including Fe, FeH, VO and KI, and there is good evidence
for intrinsic variability in water and possibly also methan. Yet some of this
variability covers a broader spectral range which would be consistent with dust
opacity variations. The underlying common cause is plausibly localized
temperature or composition fluctuations caused by convection. Looking at the
high signal-to-noise ratio stacked spectra we see many previously identified
spectral features of L and T dwarfs, such as KI, NaI, FeH, water and methane.
In particular we may have detected methane absorption at 1.3-1.4 micron in the
L5 dwarf SDSS 0539-0059.
| astro-ph | models of brown dwarf atmospheres suggest they exhibit complex physical behaviour observations have shown that they are indeed dynamic displaying small photometric variations over timescales of hours here i report results of infrared 095164 micron spectrophotometric monitoring of four field l and t dwarfs spanning timescales of 0155 hrs the goal being to learn more about the physical nature of this variability spectra are analysed differentially with respect to a simultaneously observed reference source in order to remove earthatmospheric variations the variability amplitude detected is typically 210 depending on the source and wavelength i analyse the data for correlated variations between spectral indices this approach is more robust than single band or chisq analyses because it does not assume an amplitude for the often uncertain noise level although the significance test still assumes a shape for the noise power spectrum three of the four targets show significant evidence for correlated variability some of this can be associated with specific features including fe feh vo and ki and there is good evidence for intrinsic variability in water and possibly also methan yet some of this variability covers a broader spectral range which would be consistent with dust opacity variations the underlying common cause is plausibly localized temperature or composition fluctuations caused by convection looking at the high signaltonoise ratio stacked spectra we see many previously identified spectral features of l and t dwarfs such as ki nai feh water and methane in particular we may have detected methane absorption at 1314 micron in the l5 dwarf sdss 05390059 | [['models', 'of', 'brown', 'dwarf', 'atmospheres', 'suggest', 'they', 'exhibit', 'complex', 'physical', 'behaviour', 'observations', 'have', 'shown', 'that', 'they', 'are', 'indeed', 'dynamic', 'displaying', 'small', 'photometric', 'variations', 'over', 'timescales', 'of', 'hours', 'here', 'i', 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'methane', 'in', 'particular', 'we', 'may', 'have', 'detected', 'methane', 'absorption', 'at', '1314', 'micron', 'in', 'the', 'l5', 'dwarf', 'sdss', '05390059']] | [-0.0768826971839798, 0.11881686742359078, -0.05952921520009285, 0.10513165982359449, -0.07475479192826456, -0.1371054524852799, 0.049457578954660866, 0.4519892725800201, -0.20803243182617878, -0.36399637553112135, 0.09159548300699749, -0.2866811723353004, -0.08492220784024167, 0.1786176704608663, -0.088701291275614, -0.02195973555359432, 0.05336007452936564, -0.05290426148512349, -0.024971344852435042, -0.22089225809157673, 0.26721762367579205, 0.05955710343275894, 0.18379548354272357, 0.008250777073402516, 0.017826478784870883, -0.08739400372242805, -0.11143808720076977, 0.0075881350647995435, -0.10469966856813756, 0.033878533893098, 0.2733219535954465, 0.07812241358704514, 0.20154992875355016, -0.32922842028994465, -0.2620543920346554, 0.09399239107321097, 0.14904197554473442, 0.024656453090591546, -0.0035940571918425435, 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711.4465 | A method for exploiting domain information in astrophysical parameter
estimation | I outline a method for estimating astrophysical parameters (APs) from
multidimensional data. It is a supervised method based on matching observed
data (e.g. a spectrum) to a grid of pre-labelled templates. However, unlike
standard machine learning methods such as ANNs, SVMs or k-nn, this algorithm
explicitly uses domain information to better weight each data dimension in the
estimation. Specifically, it uses the sensitivity of each measured variable to
each AP to perform a local, iterative interpolation of the grid. It avoids both
the non-uniqueness problem of global regression as well as the grid resolution
limitation of nearest neighbours.
| astro-ph | i outline a method for estimating astrophysical parameters aps from multidimensional data it is a supervised method based on matching observed data eg a spectrum to a grid of prelabelled templates however unlike standard machine learning methods such as anns svms or knn this algorithm explicitly uses domain information to better weight each data dimension in the estimation specifically it uses the sensitivity of each measured variable to each ap to perform a local iterative interpolation of the grid it avoids both the nonuniqueness problem of global regression as well as the grid resolution limitation of nearest neighbours | [['i', 'outline', 'a', 'method', 'for', 'estimating', 'astrophysical', 'parameters', 'aps', 'from', 'multidimensional', 'data', 'it', 'is', 'a', 'supervised', 'method', 'based', 'on', 'matching', 'observed', 'data', 'eg', 'a', 'spectrum', 'to', 'a', 'grid', 'of', 'prelabelled', 'templates', 'however', 'unlike', 'standard', 'machine', 'learning', 'methods', 'such', 'as', 'anns', 'svms', 'or', 'knn', 'this', 'algorithm', 'explicitly', 'uses', 'domain', 'information', 'to', 'better', 'weight', 'each', 'data', 'dimension', 'in', 'the', 'estimation', 'specifically', 'it', 'uses', 'the', 'sensitivity', 'of', 'each', 'measured', 'variable', 'to', 'each', 'ap', 'to', 'perform', 'a', 'local', 'iterative', 'interpolation', 'of', 'the', 'grid', 'it', 'avoids', 'both', 'the', 'nonuniqueness', 'problem', 'of', 'global', 'regression', 'as', 'well', 'as', 'the', 'grid', 'resolution', 'limitation', 'of', 'nearest', 'neighbours']] | [-0.023847964649297754, -0.05193384483038467, -0.07832060367990361, 0.09835937154854704, -0.13609723872695195, -0.20027978641541713, 0.09918053823580243, 0.40159509837038204, -0.3078413934313825, -0.335944852316562, 0.14613622421641093, -0.2830588812274592, -0.11503456432695444, 0.16151387427579517, -0.0820513848626359, 0.12025945747689325, 0.09423446862445194, 0.05835819454407509, -0.06183685741520354, -0.25246310445042897, 0.29938660126312505, 0.08606721722634927, 0.30465279735282674, -0.05597101344860026, 0.1321866404590653, 0.050402411196751484, -0.07695062709877229, 0.0035149688141691325, -0.06141940249386719, 0.1352584280943194, 0.27128343746465233, 0.200269101292123, 0.3164511052891612, -0.35399448413553897, -0.24811484617162116, 0.15190159268107037, 0.15328501734917638, 0.10469067867427152, 0.0031063006097945024, -0.23418299334922008, 0.06415834841651044, -0.13602479254560812, -0.050222369072464655, -0.09902865763359266, -0.032368726914330403, 0.0529929666556608, -0.3476908437584584, 0.04711340633886201, 0.05068996063925383, 0.06968535019122825, -0.048030813653449696, -0.13841244638707412, -0.003317081100991642, 0.11938285649093629, 0.01056405563354112, 0.07339364082471715, 0.11808969296172869, -0.12896719849335828, -0.14648505530203693, 0.3946621400845826, -0.049824128210145445, -0.23715449325331694, 0.18031808023331497, -0.03709067794855456, -0.1555880547966808, 0.08974967207949684, 0.21710058031318596, 0.12343844150508426, -0.1269055354713025, 0.043155660500574136, -0.023929952254176746, 0.16978472412316775, 0.025054582753408775, -0.017310002229499574, 0.14073584572298034, 0.2408566118909369, 0.10702451196860294, 0.07977944617135907, -0.17099354903947808, -0.03852467834284263, -0.2237516108102032, -0.08953195248198297, -0.2872719960477279, -0.038498106251033594, -0.14935236387620016, -0.2053409747931422, 0.390051633537728, 0.20238797530075725, 0.2330431864520877, 0.04914473607062305, 0.3950310234664654, 0.06788101399493195, 0.1087889708103422, 0.11026936070518378, 0.1613850435051991, 0.07038469145986803, 0.11392621887679692, -0.16592336146930728, 0.04432388946172848, 0.09719104839640917] |
711.4466 | VLT/VIMOS Integral field kinematics of the Giant Low Surface Brightness
galaxy ESO 323-G064 | We studied the bulge and the disk kinematic of the giant Low Surface
Brightness (LSB) galaxy ESO 323-G064 in order to investigate its dynamics and
its Dark Matter (DM) content. We observed the galaxy with the integral field
spectroscopy (VLT/VIMOS, in IFU configuration). Results for the gaseous
kinematics (bulge and disk) and stellar kinematics (bulge) are presented,
together with a Jeans model for the stellar bulge kinematics.
| astro-ph | we studied the bulge and the disk kinematic of the giant low surface brightness lsb galaxy eso 323g064 in order to investigate its dynamics and its dark matter dm content we observed the galaxy with the integral field spectroscopy vltvimos in ifu configuration results for the gaseous kinematics bulge and disk and stellar kinematics bulge are presented together with a jeans model for the stellar bulge kinematics | [['we', 'studied', 'the', 'bulge', 'and', 'the', 'disk', 'kinematic', 'of', 'the', 'giant', 'low', 'surface', 'brightness', 'lsb', 'galaxy', 'eso', '323g064', 'in', 'order', 'to', 'investigate', 'its', 'dynamics', 'and', 'its', 'dark', 'matter', 'dm', 'content', 'we', 'observed', 'the', 'galaxy', 'with', 'the', 'integral', 'field', 'spectroscopy', 'vltvimos', 'in', 'ifu', 'configuration', 'results', 'for', 'the', 'gaseous', 'kinematics', 'bulge', 'and', 'disk', 'and', 'stellar', 'kinematics', 'bulge', 'are', 'presented', 'together', 'with', 'a', 'jeans', 'model', 'for', 'the', 'stellar', 'bulge', 'kinematics']] | [-0.05484286737419776, 0.0037358475001111847, -0.1748204435319153, 0.14594410448821624, -0.15699065698018827, -0.012453680392354727, -0.062433678180729944, 0.45594037830162404, -0.1484876447913251, -0.3588594425636441, 0.014234517071979926, -0.2534936219731818, 0.033439947639717096, 0.1749755376567647, -0.004338136123521115, 0.02214115163582419, 0.014457562368418744, -0.15417330122705716, -0.01852227798871585, -0.3314199395731453, 0.3175633354946526, 0.03718991802810733, 0.05855846172198653, -0.08124897987651292, 0.1155941139128226, -0.07479798038309413, -0.12441693246364594, -0.06941502425235821, -0.2424108346145767, 0.04491444893351603, 0.22344165984819184, 0.10268982882792158, 0.13050607822960547, -0.38792096033914764, -0.15562346545673572, -0.02434764503598658, 0.23608265770599246, 0.025266595935421205, -0.1474013993092604, -0.2691083547568866, 0.05859489710445502, -0.20254877675324678, -0.2460255422212406, 0.09066922701339224, 0.014466476176670795, 0.003574254727964081, -0.17105405710971178, 0.13968788755974218, 0.004667649351393998, 0.1387960422617286, -0.1548819181182658, -0.09391913058430847, -0.12589085702575856, 0.04413176471812289, 0.004708889487838901, 0.08727580053843002, 0.2946957775544542, -0.2194655096269588, 0.05621722081342517, 0.3882385952981995, -0.10076457405386409, -0.008474398042951057, 0.24477959553530412, -0.3051427541050448, -0.1575035531171111, 0.050466895993076154, 0.16499218510623687, 0.07038054296246438, -0.17841691031718432, 0.09352191972395113, -0.04753560750091921, 0.20869034617694457, 0.025263389732355056, 0.05712213866984291, 0.38485233966650356, 0.07306065196310406, 0.03275326723510872, 0.07436598872473991, -0.32068589877392817, -0.06587009995814357, -0.1971199404615075, -0.1357985040721998, -0.07426855799311133, -0.01635976169786569, -0.16872003244899852, -0.10018154504750647, 0.3311131837180079, 0.006758190366767917, 0.23287313776229746, 0.04301760047013913, 0.37644776518442735, 0.04313449372551335, 0.13588508034347377, 0.11459946254991106, 0.31591007128747095, 0.287721218562115, 0.11347903848500616, -0.34260305423122733, 0.03163456636717293, -0.013043479771534009] |
711.4467 | Mesons in Gauge/Gravity Duals - A Review | We review recent progress in studying mesons within gauge/gravity duality, in
the context of adding flavour degrees of freedom to generalizations of the
AdS/CFT correspondence. Our main focus is on the `top-down approach' of
considering models constructed within string theory. We explain the
string-theoretical constructions in detail, aiming at non-specialists. These
give rise to a new way of describing strongly coupled confining large N gauge
gauge theories similar to large N QCD. In particular, we consider gravity dual
descriptions of spontaneous chiral symmetry breaking, and compare with lattice
results. A further topic covered is the behaviour of flavour bound states in
finite temperature field theories dual to a gravity background involving a
black hole. We also describe the `bottom up' phenomenological approach to
mesons within AdS/QCD. -- Some previously unpublished results are also
included.
| hep-th hep-lat hep-ph | we review recent progress in studying mesons within gaugegravity duality in the context of adding flavour degrees of freedom to generalizations of the adscft correspondence our main focus is on the topdown approach of considering models constructed within string theory we explain the stringtheoretical constructions in detail aiming at nonspecialists these give rise to a new way of describing strongly coupled confining large n gauge gauge theories similar to large n qcd in particular we consider gravity dual descriptions of spontaneous chiral symmetry breaking and compare with lattice results a further topic covered is the behaviour of flavour bound states in finite temperature field theories dual to a gravity background involving a black hole we also describe the bottom up phenomenological approach to mesons within adsqcd some previously unpublished results are also included | [['we', 'review', 'recent', 'progress', 'in', 'studying', 'mesons', 'within', 'gaugegravity', 'duality', 'in', 'the', 'context', 'of', 'adding', 'flavour', 'degrees', 'of', 'freedom', 'to', 'generalizations', 'of', 'the', 'adscft', 'correspondence', 'our', 'main', 'focus', 'is', 'on', 'the', 'topdown', 'approach', 'of', 'considering', 'models', 'constructed', 'within', 'string', 'theory', 'we', 'explain', 'the', 'stringtheoretical', 'constructions', 'in', 'detail', 'aiming', 'at', 'nonspecialists', 'these', 'give', 'rise', 'to', 'a', 'new', 'way', 'of', 'describing', 'strongly', 'coupled', 'confining', 'large', 'n', 'gauge', 'gauge', 'theories', 'similar', 'to', 'large', 'n', 'qcd', 'in', 'particular', 'we', 'consider', 'gravity', 'dual', 'descriptions', 'of', 'spontaneous', 'chiral', 'symmetry', 'breaking', 'and', 'compare', 'with', 'lattice', 'results', 'a', 'further', 'topic', 'covered', 'is', 'the', 'behaviour', 'of', 'flavour', 'bound', 'states', 'in', 'finite', 'temperature', 'field', 'theories', 'dual', 'to', 'a', 'gravity', 'background', 'involving', 'a', 'black', 'hole', 'we', 'also', 'describe', 'the', 'bottom', 'up', 'phenomenological', 'approach', 'to', 'mesons', 'within', 'adsqcd', 'some', 'previously', 'unpublished', 'results', 'are', 'also', 'included']] | [-0.10289328801970844, 0.19834278859338142, -0.08592141982994246, 0.10861775417868189, -0.1005392122901696, -0.16472908259978644, 0.023405381078355686, 0.32720897899226364, -0.17263509092950508, -0.26010835045402436, 0.024156167676945433, -0.27325145772105097, -0.13203841658253082, 0.09362018570527994, -0.05125925118012592, 0.019900643168703505, -0.02166306999813121, 0.023202844380744193, -0.10386275293487579, -0.2719112404296525, 0.30396358326035444, 0.017105612907334602, 0.256123932642176, 0.12029591210438569, 0.03884920024985265, -0.01156180857547692, -0.04622022808998599, 0.02709105163480022, -0.16737804082187271, 0.1391658354878839, 0.24957455076834495, 0.07677591555310707, 0.14371967656691945, -0.4504278397915843, -0.23368267731432965, 0.03442044525330228, 0.13965911706480638, 0.2082428671550916, -0.06510491961616799, -0.28938307043136957, 0.05848197219018033, -0.1978050311957311, -0.18238058491063802, -0.11034903244143422, -0.014292173240774949, -0.08748522408733747, -0.22092374543225238, 0.04258448705453552, 0.011759878087200616, 0.05985649020119598, -0.028812888757626814, -0.11123869719361901, 0.01054682609926265, 0.04197912148192973, 0.13710226997981703, 0.08165937530238328, 0.09143643128892225, -0.20006657883531898, -0.1642380519525001, 0.38423151186758414, -0.0792725449357938, -0.1895635148905974, 0.2011733428764164, -0.15085435180427662, -0.2193877084628868, 0.048032734977235474, 0.18892246136385807, 0.1550591719525873, -0.14474447272521884, 0.17708185374784052, -0.07125209162144788, 0.10987403237215362, 0.09000482223227732, 0.08823867758501433, 0.28558323662588025, 0.17169962537867067, -0.037782572132808376, 0.1635305859057471, 0.041982468184349794, -0.16320577026449873, -0.4293179623922683, -0.0768638182124228, -0.10366440088404133, 0.07342030510614465, -0.09243486753716991, -0.10788591347522754, 0.3841746298218132, 0.14887876117066307, 0.19542306556044273, 0.033716131961043165, 0.21331679407871307, 0.05395851713601724, 0.06173785201350885, 0.03556576234645637, 0.24175682435747886, 0.21057919625024824, 0.08052646235170725, -0.24111620653324403, -0.1136858132519038, 0.16070730073545547] |
711.4468 | Quantum secret sharing based on Smolin states alone | It was indicated [Yu 2007 Phys. Rev. A 75 066301] that a previous proposed
quantum secret sharing (QSS) protocol based on Smolin states [Augusiak 2006
Phys. Rev. A 73 012318] is insecure against an internal cheater. Here we build
a different QSS protocol with Smolin states alone, and prove it to be secure
against known cheating strategies. Thus we open a promising venue for building
secure QSS using merely Smolin states, which is a typical kind of bound
entangled states. We also propose a feasible scheme to implement the protocol
experimentally.
| quant-ph | it was indicated yu 2007 phys rev a 75 066301 that a previous proposed quantum secret sharing qss protocol based on smolin states augusiak 2006 phys rev a 73 012318 is insecure against an internal cheater here we build a different qss protocol with smolin states alone and prove it to be secure against known cheating strategies thus we open a promising venue for building secure qss using merely smolin states which is a typical kind of bound entangled states we also propose a feasible scheme to implement the protocol experimentally | [['it', 'was', 'indicated', 'yu', '2007', 'phys', 'rev', 'a', '75', '066301', 'that', 'a', 'previous', 'proposed', 'quantum', 'secret', 'sharing', 'qss', 'protocol', 'based', 'on', 'smolin', 'states', 'augusiak', '2006', 'phys', 'rev', 'a', '73', '012318', 'is', 'insecure', 'against', 'an', 'internal', 'cheater', 'here', 'we', 'build', 'a', 'different', 'qss', 'protocol', 'with', 'smolin', 'states', 'alone', 'and', 'prove', 'it', 'to', 'be', 'secure', 'against', 'known', 'cheating', 'strategies', 'thus', 'we', 'open', 'a', 'promising', 'venue', 'for', 'building', 'secure', 'qss', 'using', 'merely', 'smolin', 'states', 'which', 'is', 'a', 'typical', 'kind', 'of', 'bound', 'entangled', 'states', 'we', 'also', 'propose', 'a', 'feasible', 'scheme', 'to', 'implement', 'the', 'protocol', 'experimentally']] | [-0.17224977267487498, 0.10741641552902345, -0.1487976876136538, 0.011335225503112117, -0.036164646026458636, -0.32603367431915964, 0.2055819988789644, 0.3358706517793824, -0.15505962319321553, -0.3078798137061047, 0.012237727492943072, -0.21285000050524144, -0.1388410571334737, 0.20712542279526655, -0.18135579888122888, 0.11281451897884018, 0.01988109827742734, -0.06914785964247049, 0.016003565990962507, -0.36025302009552385, 0.24440613460172428, 0.10968479080246028, 0.3765819983326652, 0.05059712195999167, 0.07808426173738717, 0.0034749462266630503, 0.03375026420428512, -0.07121876221715231, -0.15858682321577158, 0.02556569196200103, 0.2527275851723644, 0.18265545796446, 0.2820606334762794, -0.34246731790180285, -0.22471450141557817, 0.08422392320667467, 0.07207435083816226, 0.27245750919041967, -0.04538826007014036, -0.404933905668473, 0.0797028432422307, -0.3136095810430438, -0.12415965349842491, -0.13999520220239176, 0.09716573559019841, -0.09236231267326668, -0.29403374445614183, 0.10485862575051522, 0.008931546864424194, 0.006009723917905534, 0.03130716585627433, -0.019957808884948993, 0.006839978184258, 0.01828325964939477, -0.1301101513175566, 0.06105341224046947, 0.09932096903160047, 0.021452681360284935, -0.2428203755675742, 0.2727715583580933, -0.004917244889951321, -0.13113164266550473, 0.19562000376590935, 0.037825072079562067, -0.13766631506006705, 0.032237772411258706, 0.08379450907114516, 0.16567634977400303, -0.1458160180514783, 0.014577546365574798, -0.14508000362580747, 0.21089279152887214, 0.08730130684771313, 0.10544965096508686, 0.13227723639332847, 0.101814850015053, 0.02359338155999947, 0.12657942990066087, -0.03591483863583358, -0.18111142465122715, -0.25138657519154334, -0.19811430872546174, -0.2371926994659425, 0.11986988166273896, 0.07737201450178739, -0.07422929988608937, 0.3810296216967769, 0.16780511579696047, 0.15058035722945481, -0.024239395942612228, 0.2855183145638262, 0.0037569055187233378, -0.01955200626064887, 0.2728298282632709, 0.24901710482042158, 0.13290461252202815, 0.08391213227126203, -0.16018474889981948, 0.09273669177540735, 0.003920935785981272] |
711.4469 | Cyclic Universe with Quintom matter in Loop Quantum Cosmology | In this paper, we study the possibility of model building of cyclic universe
with Quintom matter in the framework of Loop Quantum Cosmology. After a general
demonstration, we provide two examples, one with double-fluid and another
double-scalar field, to show how such a scenario is obtained. Analytical and
numerical calculations are both presented in the paper.
| hep-th astro-ph gr-qc | in this paper we study the possibility of model building of cyclic universe with quintom matter in the framework of loop quantum cosmology after a general demonstration we provide two examples one with doublefluid and another doublescalar field to show how such a scenario is obtained analytical and numerical calculations are both presented in the paper | [['in', 'this', 'paper', 'we', 'study', 'the', 'possibility', 'of', 'model', 'building', 'of', 'cyclic', 'universe', 'with', 'quintom', 'matter', 'in', 'the', 'framework', 'of', 'loop', 'quantum', 'cosmology', 'after', 'a', 'general', 'demonstration', 'we', 'provide', 'two', 'examples', 'one', 'with', 'doublefluid', 'and', 'another', 'doublescalar', 'field', 'to', 'show', 'how', 'such', 'a', 'scenario', 'is', 'obtained', 'analytical', 'and', 'numerical', 'calculations', 'are', 'both', 'presented', 'in', 'the', 'paper']] | [-0.12789436141875657, 0.09668570739979093, -0.10460338175974108, 0.047702755948359314, -0.050200317325917156, -0.13264491536061873, -0.009094386801800945, 0.3657962450926954, -0.21494635888798672, -0.30577539283443583, 0.08616720268883828, -0.22652815939350562, -0.21953823634169317, 0.22067116645418786, -0.0343842813491144, 0.01769165513529019, 0.04727758787233721, 0.03120161037183028, -0.0440307646820491, -0.2548894830556078, 0.36162311949513176, 0.059808442057957024, 0.2088233942673965, 0.05015199715271592, 0.0782269281335175, -0.04497873201458292, -0.04384092097593979, 0.03171913528984243, -0.18519563374998557, 0.11087138633963398, 0.22601230815052986, 0.12979593149979007, 0.24866573902862993, -0.44918187534944576, -0.23447234672494233, 0.1032273543490605, 0.12381468693810431, 0.19880396032875233, -0.13520987877114252, -0.25205247706987643, 0.08514094149524515, -0.22844697054136884, -0.13946731301786547, -0.08377442199059508, -0.06903691048606891, -0.04865285297432406, -0.23237396504264324, 0.0553790467875925, 0.027471653687429022, 0.01000277556105919, -0.06367016837678173, -0.047398979621092706, 0.07001234436915679, 0.06410906739871611, 0.06296831138474358, -0.0026533362159336157, 0.07246659166094932, -0.13021998754702507, -0.1564883997833187, 0.407841146601872, -0.08809483472935178, -0.15403537332842296, 0.14058149863373148, -0.14611597091636874, -0.17383532616394487, -0.0018586335153403608, 0.13282276317477226, 0.11083633491600102, -0.14720865366133776, 0.10273631004912948, -0.037728291792287066, 0.11026532445949587, -0.0009135795672508804, -0.0005140934509902515, 0.241614871438254, 0.20232559608464892, -0.011391423862766136, 0.1676197201013565, -0.03720327802849087, -0.1429115476848727, -0.39872868061065675, -0.2001620141789317, -0.1266942844472148, 0.007348407796499404, -0.0804466227741531, -0.14580109149894932, 0.42856408005410973, 0.16441609087315473, 0.1833093855699355, 0.0473678034899587, 0.3157316359606656, 0.06324728088961407, -0.04624010483861308, 0.06042943293313411, 0.24051983009346506, 0.12458358623764731, 0.08169079915705052, -0.18268601534549486, -0.05308190416544676, 0.03167029173875397] |
711.447 | Helium stratification in HD 145792: a new Helium strong star | In this paper we report on the real nature of the star HD 145792, classified
as He weak in {\it ``The General Catalogue of Ap and Am stars''}. By means of
FEROS@ESO1.52m high resolution spectroscopic data, we refined the atmospheric
parameters of the star, obtaining: T$_{\rm eff}$ = 14400 $\pm$ 400 K, $\log g$
= 4.06 $\pm$ 0.08 and $\xi$ = 0 $^{+0.6}$ km s$^{-1}$. These values resulted
always lower than those derived by different authors with pure photometric
approaches.
Using our values we undertook an abundance analysis with the aim to derive,
for the first time, the chemical pattern of the star's atmosphere. For metals a
pure LTE synthesis (ATLAS9 and SYNTHE) has been used, while for helium a hybrid
approach has been preferred (ATLAS9 and SYNSPEC). The principal result of our
study is that HD 145792 belongs to He strong class contrary to the previous
classification. Moreover, helium seems to be vertically stratified in the
atmosphere, decreasing toward deepest layers.
For what that concerns metals abundances, we found the following:
overabundance of oxygen, neon, silicon, phosphorus, sulfur and calcium; carbon,
nitrogen, magnesium, aluminum, titanium, chromium and nickel are normal, being
the discrepancies from the solar values within the experimental errors; iron
resulted to be slightly underabundant.
| astro-ph | in this paper we report on the real nature of the star hd 145792 classified as he weak in it the general catalogue of ap and am stars by means of feroseso152m high resolution spectroscopic data we refined the atmospheric parameters of the star obtaining t_rm eff 14400 pm 400 k log g 406 pm 008 and xi 0 06 km s1 these values resulted always lower than those derived by different authors with pure photometric approaches using our values we undertook an abundance analysis with the aim to derive for the first time the chemical pattern of the stars atmosphere for metals a pure lte synthesis atlas9 and synthe has been used while for helium a hybrid approach has been preferred atlas9 and synspec the principal result of our study is that hd 145792 belongs to he strong class contrary to the previous classification moreover helium seems to be vertically stratified in the atmosphere decreasing toward deepest layers for what that concerns metals abundances we found the following overabundance of oxygen neon silicon phosphorus sulfur and calcium carbon nitrogen magnesium aluminum titanium chromium and nickel are normal being the discrepancies from the solar values within the experimental errors iron resulted to be slightly underabundant | [['in', 'this', 'paper', 'we', 'report', 'on', 'the', 'real', 'nature', 'of', 'the', 'star', 'hd', '145792', 'classified', 'as', 'he', 'weak', 'in', 'it', 'the', 'general', 'catalogue', 'of', 'ap', 'and', 'am', 'stars', 'by', 'means', 'of', 'feroseso152m', 'high', 'resolution', 'spectroscopic', 'data', 'we', 'refined', 'the', 'atmospheric', 'parameters', 'of', 'the', 'star', 'obtaining', 't_rm', 'eff', '14400', 'pm', '400', 'k', 'log', 'g', '406', 'pm', '008', 'and', 'xi', '0', '06', 'km', 's1', 'these', 'values', 'resulted', 'always', 'lower', 'than', 'those', 'derived', 'by', 'different', 'authors', 'with', 'pure', 'photometric', 'approaches', 'using', 'our', 'values', 'we', 'undertook', 'an', 'abundance', 'analysis', 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'the', 'solar', 'values', 'within', 'the', 'experimental', 'errors', 'iron', 'resulted', 'to', 'be', 'slightly', 'underabundant']] | [-0.026903395814905265, 0.12952688857194067, 0.0005759616257936353, 0.011094968095865552, -0.020181155932426344, -0.11732902026984214, 0.10464885688472152, 0.4162174918513634, -0.16222311358433217, -0.3647051742807547, 0.03486514184220537, -0.32260990297735326, -0.00805794809412414, 0.1717682215903821, -0.05609410691264058, 0.002956428112318661, 0.07114250118277118, -0.038831088002678926, -0.07861534126291955, -0.2568990742490341, 0.26439219746406717, 0.07049038099922646, 0.22477001590207035, -0.02490442321465194, -0.01728986675325449, -0.1384877072910553, -0.01290230725985251, -0.019560928789882616, -0.18505476380384003, 0.07987378866614608, 0.2433940964799356, 0.07614711979357987, 0.18606077745962557, -0.368311935860553, -0.2294058672355322, 0.06351685937779891, 0.1461133771362175, 0.07742938667300646, -0.06664420782742875, -0.23513686590560592, 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711.4471 | Towards the effective potential of the Littlest Higgs model | We compute the relevant parameters of the combined Higgs and \phi scalar
effective potential in the Littlest Higgs (LH) model. These parameters are
obtained as the sum of two kind of contributions. The first one is the one-loop
radiative corrections coming from fermions and gauge bosons. The second one is
obtained at the tree level from the higher order effective operators needed for
the ultraviolet completion of the model. Finally we analyze the restrictions
that the requirement of reproducing the standard electroweak symmetry breaking
of the SM set on the LH model parameters.
| hep-ph | we compute the relevant parameters of the combined higgs and phi scalar effective potential in the littlest higgs lh model these parameters are obtained as the sum of two kind of contributions the first one is the oneloop radiative corrections coming from fermions and gauge bosons the second one is obtained at the tree level from the higher order effective operators needed for the ultraviolet completion of the model finally we analyze the restrictions that the requirement of reproducing the standard electroweak symmetry breaking of the sm set on the lh model parameters | [['we', 'compute', 'the', 'relevant', 'parameters', 'of', 'the', 'combined', 'higgs', 'and', 'phi', 'scalar', 'effective', 'potential', 'in', 'the', 'littlest', 'higgs', 'lh', 'model', 'these', 'parameters', 'are', 'obtained', 'as', 'the', 'sum', 'of', 'two', 'kind', 'of', 'contributions', 'the', 'first', 'one', 'is', 'the', 'oneloop', 'radiative', 'corrections', 'coming', 'from', 'fermions', 'and', 'gauge', 'bosons', 'the', 'second', 'one', 'is', 'obtained', 'at', 'the', 'tree', 'level', 'from', 'the', 'higher', 'order', 'effective', 'operators', 'needed', 'for', 'the', 'ultraviolet', 'completion', 'of', 'the', 'model', 'finally', 'we', 'analyze', 'the', 'restrictions', 'that', 'the', 'requirement', 'of', 'reproducing', 'the', 'standard', 'electroweak', 'symmetry', 'breaking', 'of', 'the', 'sm', 'set', 'on', 'the', 'lh', 'model', 'parameters']] | [-0.07685351302166299, 0.19181944994676497, -0.007585624958919261, 0.14950417476125383, -0.06276116147887723, -0.1290244190222634, 0.03995590587897647, 0.2839442115497365, -0.23806899198160697, -0.2796991638118221, 0.061589313279186444, -0.29897743407937305, -0.09914892548895492, 0.12235885754638222, 0.06137882477243341, 0.08568191325031621, 0.023262549767531053, 0.07508989249265963, -0.08632250969117929, -0.27061055697781106, 0.36162628713113965, 0.026706941821362063, 0.19698165607468415, 0.05557760281828783, 0.08759245712069734, -0.0014245639084487832, -0.043861785504255964, -0.08169035859886677, -0.11152990991839581, 0.14277406055411393, 0.10873494316793737, 0.058131092964040655, 0.14786130846828544, -0.3758293448256389, -0.17408005880963018, 0.1346376384758661, 0.08882117019064965, 0.12360214172381788, -0.005964666290799537, -0.27507377772401737, 0.0787858194909409, -0.18501269289602837, -0.10655729566896034, -0.05534717524724622, -0.086214977616985, -0.10495007723089188, -0.34977355533309523, 0.023527620472289342, -0.034009297713837636, 0.019762032555155858, -0.04592837165710666, -0.16459010750485925, -0.11560901401374209, 0.10946351510062012, 0.13289345545639153, 0.007936235023124183, 0.12628052775060847, -0.22192897222014846, -0.1308972286824037, 0.46140376013773743, -0.14650275777482116, -0.16934355200638854, 0.1502639003778978, -0.1568328211777493, -0.1492661341800422, 0.10301386471837759, 0.16377037407089307, 0.07558703961843495, -0.1308918209678884, 0.22566888072673152, -0.013777742873356548, 0.12809712134466897, 0.0279643308554065, 0.04872302154219279, 0.19780417928291905, 0.14399875610345794, 0.009492411033465696, 0.10532691573063212, -0.0505259739890975, -0.09000145771130118, -0.46569538160517654, -0.12439060463540015, -0.10079626329443468, -0.012223331753404872, -0.1179968828309743, -0.10421522690724301, 0.4650732476604722, 0.16889192442339596, 0.2134228063902507, 0.0648974818077379, 0.3066288225843461, 0.16476229633600828, 0.12223242533202934, 0.0024727648274312096, 0.29374987335865616, 0.12132503741210507, 0.07421321184524605, -0.27348832310188653, -0.02840187559304859, 0.14808972637539589] |
711.4472 | Baryon spectroscopy in constituent quark models | We present a study of the baryon spectra for all flavor sectors within a
constituent quark model. We address some of the outstanding problems in baryon
spectroscopy, as for example the spin splitting evolution for te different
flavor sectors, the flavor independence of confinement and the missing state
problem.
| hep-ph | we present a study of the baryon spectra for all flavor sectors within a constituent quark model we address some of the outstanding problems in baryon spectroscopy as for example the spin splitting evolution for te different flavor sectors the flavor independence of confinement and the missing state problem | [['we', 'present', 'a', 'study', 'of', 'the', 'baryon', 'spectra', 'for', 'all', 'flavor', 'sectors', 'within', 'a', 'constituent', 'quark', 'model', 'we', 'address', 'some', 'of', 'the', 'outstanding', 'problems', 'in', 'baryon', 'spectroscopy', 'as', 'for', 'example', 'the', 'spin', 'splitting', 'evolution', 'for', 'te', 'different', 'flavor', 'sectors', 'the', 'flavor', 'independence', 'of', 'confinement', 'and', 'the', 'missing', 'state', 'problem']] | [-0.11080928243772716, 0.21953753875188378, -0.03157834959577541, 0.1654707740384097, -0.03287707963882356, -0.09900954451259909, 0.09445934213474583, 0.318631255200931, -0.2235103565059146, -0.30159539075530306, 0.05559328889084638, -0.2862800588945345, -0.006831471409116473, 0.06712992116333727, 0.07044439676825945, 0.05206409210757333, 0.03185523886765752, -0.02709031136402366, -0.0636916569034968, -0.19673339414590857, 0.3509635947530671, -0.046317407671286136, 0.2708314172923565, 0.12334582203885122, 0.08724502270699155, 0.0263150254625599, -0.0353056544780123, -0.004732639823413017, -0.09389808663281099, 0.07173386445905709, 0.20870436888962643, 0.11765058426072403, 0.1496830863916144, -0.3859273804237648, -0.22441796566435726, 0.13386434632144412, 0.155242917118404, 0.18999251164495945, -0.1053217271228834, -0.22170657086737303, 0.07507800816425256, -0.19814691038764254, -0.15660442852852297, -0.11464639372971593, -0.03050651419337611, -0.046520329921563366, -0.27829432012323213, 0.13192106646542645, -0.03213176201097667, 0.035215273955646824, -0.06396151983122132, -0.22227522668105607, -0.03595031786481945, 0.09845128230636521, 0.11332978138804664, -0.02910163893592449, 0.06906825406666921, -0.23617116400819957, -0.1751274497685384, 0.4566160579573135, -0.04495749780338029, -0.16359856698129857, 0.10718051134133522, -0.16642598581633397, -0.20924294297108237, 0.006358084839065464, 0.20288764890663477, 0.0850181358258183, -0.16226005411649846, 0.1245403639931821, -0.10049448095794235, 0.11585043097028927, 0.051574569827477844, 0.0982049689533151, 0.26963622850955143, 0.2155200540639308, 0.03291015440065946, 0.08643316935595809, -0.057636434326366504, -0.056087952648878704, -0.36145308765829826, -0.1337605488257321, -0.11733759593988331, 0.034524942425136665, -0.07612645913037823, -0.11980368187460973, 0.5290585934203498, 0.11552750300235894, 0.22434627398734494, -0.04693975778562682, 0.30088438762693986, 0.04607105522882193, 0.01735843830190751, 0.030495158624740278, 0.19992977108305074, 0.22229005753689882, 0.1594901785862689, -0.3426311097050808, -0.049495063475048055, 0.06459805660177859] |
711.4473 | Mechanical Response of a Small Swimmer Driven by Conformational
Transitions | A conformation space kinetic model is constructed to drive the deformation
cycle of a three-sphere swimmer to achieve propulsion at low Reynolds number.
We analyze the effect of an external load on the performance of this kinetic
swimmer, and show that it depends sensitively on where the force is exerted, so
that there is no general force--velocity relation. We discuss how the
conformational cycle of such swimmers should be designed to increase their
performance in resisting forces applied at specific points.
| cond-mat.soft cond-mat.stat-mech | a conformation space kinetic model is constructed to drive the deformation cycle of a threesphere swimmer to achieve propulsion at low reynolds number we analyze the effect of an external load on the performance of this kinetic swimmer and show that it depends sensitively on where the force is exerted so that there is no general forcevelocity relation we discuss how the conformational cycle of such swimmers should be designed to increase their performance in resisting forces applied at specific points | [['a', 'conformation', 'space', 'kinetic', 'model', 'is', 'constructed', 'to', 'drive', 'the', 'deformation', 'cycle', 'of', 'a', 'threesphere', 'swimmer', 'to', 'achieve', 'propulsion', 'at', 'low', 'reynolds', 'number', 'we', 'analyze', 'the', 'effect', 'of', 'an', 'external', 'load', 'on', 'the', 'performance', 'of', 'this', 'kinetic', 'swimmer', 'and', 'show', 'that', 'it', 'depends', 'sensitively', 'on', 'where', 'the', 'force', 'is', 'exerted', 'so', 'that', 'there', 'is', 'no', 'general', 'forcevelocity', 'relation', 'we', 'discuss', 'how', 'the', 'conformational', 'cycle', 'of', 'such', 'swimmers', 'should', 'be', 'designed', 'to', 'increase', 'their', 'performance', 'in', 'resisting', 'forces', 'applied', 'at', 'specific', 'points']] | [-0.1915836991931967, 0.19143391484096445, -0.09303750983082953, 0.028228579908264457, -0.1014882991935506, -0.1269719890192335, 0.024585102403099524, 0.3870770246434359, -0.2674269631252061, -0.30954112702359754, 0.006510140206147399, -0.20598287544684646, -0.203753009059087, 0.20579571574408975, -0.10723845945257279, -0.0161811001598835, 0.03463921091162864, 0.06020447200187194, 0.02711595640299313, -0.22139099510501564, 0.2490422212012848, 0.09766661184035058, 0.3048352186372619, 0.08576325591607595, 0.16287833284356712, -0.05605119280517101, 0.0749819978358753, 0.0800075121852713, -0.19645155417351312, 0.035080414460856975, 0.16940305915511686, 0.052374369039395706, 0.23336678696796298, -0.472127004377084, -0.18141529712550067, 0.12706363224711867, 0.1211288485814024, 0.10739804028797849, -0.008579417199390814, -0.1640218489538924, 0.05548934889152462, -0.17083353124972847, -0.11162828378103397, -0.09140703505204048, 0.059807047615816566, 0.09272220341005812, -0.23643079895043262, 0.04020549843222892, 0.03500719887009005, 0.11188447509639333, -0.06585615228309676, -0.04781089510256999, -0.06917576568868057, 0.14474715590821924, 0.11402798543057555, 0.06742665383757816, 0.2927332006475348, -0.16032645039340873, -0.03900369184873538, 0.41491421385679716, -0.01743719794637995, -0.2776341932469312, 0.20878846778097437, -0.12990534560248992, -0.1001436062829776, 0.13225720096724453, 0.20682569575944432, 0.06433458237644331, -0.08027284752892296, 0.0185854594351833, 0.004415042836357046, 0.20246633832101468, 0.07407722084058656, -0.06531186579844489, 0.18933564234226022, 0.20377195919691413, 0.11308177738280875, 0.1659660052758193, -0.09136491478708239, -0.08388429720610104, -0.27642186550584474, -0.13087253281731664, -0.20531011269899246, 0.04896171008133226, -0.0772673990863108, -0.14652572744698436, 0.3605519416109647, 0.15602921250432206, 0.17686958152248902, 0.06728034414190018, 0.3039664492976886, 0.10433142663577548, 0.05595368041116514, 0.08617703349007592, 0.32119862615694234, 0.07427081683604622, 0.09107669716539943, -0.3247364086543072, 0.057528060757451586, 0.08016525326515145] |
711.4474 | Microlensing in Galactic Halos | In the framework of the search of dark matter in galactic halos in form of
massive compact halo object (MACHOs), we discuss the status of microlensing
observations towards the Magellanic Clouds and the Andromeda galaxy, M31. The
detection of a few microlensing events has been reported, but an unambiguous
conclusion on the halo content in form on MACHOs has not been reached yet. A
more detailed modelling of the expected signal and a larger statistics of
observed events are mandatory in order to shed light on this important
astrophysical issue.
| astro-ph | in the framework of the search of dark matter in galactic halos in form of massive compact halo object machos we discuss the status of microlensing observations towards the magellanic clouds and the andromeda galaxy m31 the detection of a few microlensing events has been reported but an unambiguous conclusion on the halo content in form on machos has not been reached yet a more detailed modelling of the expected signal and a larger statistics of observed events are mandatory in order to shed light on this important astrophysical issue | [['in', 'the', 'framework', 'of', 'the', 'search', 'of', 'dark', 'matter', 'in', 'galactic', 'halos', 'in', 'form', 'of', 'massive', 'compact', 'halo', 'object', 'machos', 'we', 'discuss', 'the', 'status', 'of', 'microlensing', 'observations', 'towards', 'the', 'magellanic', 'clouds', 'and', 'the', 'andromeda', 'galaxy', 'm31', 'the', 'detection', 'of', 'a', 'few', 'microlensing', 'events', 'has', 'been', 'reported', 'but', 'an', 'unambiguous', 'conclusion', 'on', 'the', 'halo', 'content', 'in', 'form', 'on', 'machos', 'has', 'not', 'been', 'reached', 'yet', 'a', 'more', 'detailed', 'modelling', 'of', 'the', 'expected', 'signal', 'and', 'a', 'larger', 'statistics', 'of', 'observed', 'events', 'are', 'mandatory', 'in', 'order', 'to', 'shed', 'light', 'on', 'this', 'important', 'astrophysical', 'issue']] | [-0.12440771485174386, 0.05167182528352391, -0.13511635011268985, 0.1485376915584008, -0.15444901496585872, -5.710366595950392e-05, 0.036569443645162715, 0.3789382926705811, -0.10603161590277321, -0.3854879964763919, 0.029780121492998055, -0.30469074363580956, -0.0496732950831453, 0.21222221690695733, -0.03618566906526313, 0.024291057957129346, 0.059300170367997555, 0.004812746018999153, -0.008842285857018498, -0.2862225775813891, 0.2799632089729938, 0.09119442652703988, 0.1493923956528306, 0.0018237408871452014, 0.07887020641937852, -0.09372913371771574, -0.1444722815675454, -0.045139025264264394, -0.11708477915575106, 0.05891494574025273, 0.2551058453274891, 0.17738844449567195, 0.21441402690122938, -0.401958615746763, -0.23952614431165986, 0.13911500902225574, 0.23471067714660118, 0.06948394063446257, -0.1583757959223779, -0.34369109867968495, 0.07540472470637825, -0.1984453780369626, -0.16750862718456322, 0.05515722400612301, 0.07649515719256467, -0.0014631321653723716, -0.1509047246424921, 0.09811736122808523, 0.03478772296415021, 0.04934723784681409, -0.05516688056652331, -0.08829726222902537, 0.016089401099209984, 0.041198586594934264, 0.05430238740518689, 0.03315552008441753, 0.18733623422578805, -0.1946055020283287, -0.04219911079336372, 0.4653768235610591, -0.05352156872783477, -0.05077370416062574, 0.18890847314356102, -0.21859694123268128, -0.2451174449123856, 0.10933400433924463, 0.2233026813612216, 0.14127684912333885, -0.20157077092056472, 0.03120670207750259, -0.05204249932042634, 0.2027187743327684, 0.02894751654110021, 0.06000315222853614, 0.38533608013143145, 0.2063135487984659, 0.05865769434409837, 0.043645883925879994, -0.21474999377969653, -0.06881355753996306, -0.23586760873699353, -0.11469323701328701, -0.13901581154722306, 0.060213241402945844, -0.07481876548554282, -0.11631032072214617, 0.3560820513922307, 0.16359345994682775, 0.22389753939221715, -0.009392866725102067, 0.34016909818682406, 0.04375002292347037, 0.11366058811545372, 0.04211783187153439, 0.3599200265430328, 0.139504310902622, 0.08324149549007416, -0.1683139541419223, 0.1292117912477503, -0.04736169150306119] |
711.4475 | Valence extraction using EM selection and co-occurrence matrices | This paper discusses two new procedures for extracting verb valences from raw
texts, with an application to the Polish language. The first novel technique,
the EM selection algorithm, performs unsupervised disambiguation of valence
frame forests, obtained by applying a non-probabilistic deep grammar parser and
some post-processing to the text. The second new idea concerns filtering of
incorrect frames detected in the parsed text and is motivated by an observation
that verbs which take similar arguments tend to have similar frames. This
phenomenon is described in terms of newly introduced co-occurrence matrices.
Using co-occurrence matrices, we split filtering into two steps. The list of
valid arguments is first determined for each verb, whereas the pattern
according to which the arguments are combined into frames is computed in the
following stage. Our best extracted dictionary reaches an $F$-score of 45%,
compared to an $F$-score of 39% for the standard frame-based BHT filtering.
| cs.CL | this paper discusses two new procedures for extracting verb valences from raw texts with an application to the polish language the first novel technique the em selection algorithm performs unsupervised disambiguation of valence frame forests obtained by applying a nonprobabilistic deep grammar parser and some postprocessing to the text the second new idea concerns filtering of incorrect frames detected in the parsed text and is motivated by an observation that verbs which take similar arguments tend to have similar frames this phenomenon is described in terms of newly introduced cooccurrence matrices using cooccurrence matrices we split filtering into two steps the list of valid arguments is first determined for each verb whereas the pattern according to which the arguments are combined into frames is computed in the following stage our best extracted dictionary reaches an fscore of 45 compared to an fscore of 39 for the standard framebased bht filtering | [['this', 'paper', 'discusses', 'two', 'new', 'procedures', 'for', 'extracting', 'verb', 'valences', 'from', 'raw', 'texts', 'with', 'an', 'application', 'to', 'the', 'polish', 'language', 'the', 'first', 'novel', 'technique', 'the', 'em', 'selection', 'algorithm', 'performs', 'unsupervised', 'disambiguation', 'of', 'valence', 'frame', 'forests', 'obtained', 'by', 'applying', 'a', 'nonprobabilistic', 'deep', 'grammar', 'parser', 'and', 'some', 'postprocessing', 'to', 'the', 'text', 'the', 'second', 'new', 'idea', 'concerns', 'filtering', 'of', 'incorrect', 'frames', 'detected', 'in', 'the', 'parsed', 'text', 'and', 'is', 'motivated', 'by', 'an', 'observation', 'that', 'verbs', 'which', 'take', 'similar', 'arguments', 'tend', 'to', 'have', 'similar', 'frames', 'this', 'phenomenon', 'is', 'described', 'in', 'terms', 'of', 'newly', 'introduced', 'cooccurrence', 'matrices', 'using', 'cooccurrence', 'matrices', 'we', 'split', 'filtering', 'into', 'two', 'steps', 'the', 'list', 'of', 'valid', 'arguments', 'is', 'first', 'determined', 'for', 'each', 'verb', 'whereas', 'the', 'pattern', 'according', 'to', 'which', 'the', 'arguments', 'are', 'combined', 'into', 'frames', 'is', 'computed', 'in', 'the', 'following', 'stage', 'our', 'best', 'extracted', 'dictionary', 'reaches', 'an', 'fscore', 'of', '45', 'compared', 'to', 'an', 'fscore', 'of', '39', 'for', 'the', 'standard', 'framebased', 'bht', 'filtering']] | [-0.031920247768672805, 0.042544652255019175, -0.08363244101793195, 0.09297011131575952, -0.12123665106172363, -0.13348738704808055, 0.06712436589800443, 0.4087701156079614, -0.27237410508406656, -0.31432543786242606, 0.0343882965335312, -0.29109874919522555, -0.12361438252963125, 0.14760676607567197, -0.13029196011833846, 0.034758358111139386, 0.08986648899658273, 0.07397056290258965, -0.07696558251200865, -0.2728263880871236, 0.3087077574998451, 0.06947761289852981, 0.3086812696357568, -0.06458586738134424, 0.12070598984602839, 0.02506442615141471, -0.11769958258606493, -0.011191701940697385, -0.06059966408827071, 0.15122768222975233, 0.31828522263560444, 0.21478863283914204, 0.2877550857661602, -0.3647109131515026, -0.15154017066738257, 0.017201261324808002, 0.14064483162326116, 0.1163302263074244, -0.025846579995316765, -0.3717282841152822, 0.11861234836590787, -0.15883442764965972, 0.03511793343350291, -0.09184248577648153, 0.00529281634837389, -0.020029329999039572, -0.2659756668959744, 0.04791714194851617, 0.15033027932358284, 0.081672571344922, -0.05972452509721431, -0.16585746889313063, 0.05926514348170409, 0.13753152512634795, 0.04384336303298672, 0.06547765055981775, 0.10180764098108436, -0.08201326811686158, -0.1660625079398354, 0.39974629077439505, -0.07860887787731675, -0.1762615238216434, 0.14240267240131896, -0.027873162521670262, -0.16475699415430425, 0.10682297917005296, 0.15298945379288245, 0.11401975635128717, -0.2014697212803488, -0.023582818651678585, -0.04353280028173079, 0.20949936523800716, 0.13921064557041973, -0.03227534819006299, 0.16581412791623734, 0.19406098762527108, -0.012424008880431454, 0.13665093063687284, -0.07880000856394569, -0.030231596337010464, -0.26675212958206734, -0.1190818834960616, -0.20528881658799947, -0.05387816048304861, -0.11846373735907643, -0.1414601567139228, 0.40321024211744466, 0.2086952271219343, 0.2145064435278376, 0.08653474473239232, 0.2743190057560181, 0.09417847539686287, 0.0889264727057889, 0.06156963183544576, 0.17382997624983546, 0.06946008854390433, 0.10764276287288037, -0.11594478805258404, 0.05718580901312331, 0.14521914476839204] |
711.4476 | Reaction coordinates for the flipping of genetic switches | We present a detailed analysis, based on the Forward Flux Sampling (FFS)
simulation method, of the switching dynamics and stability of two models of
genetic toggle switches, consisting of two mutually-repressing genes encoding
transcription factors (TFs); in one model (the exclusive switch), they mutually
exclude each other's binding, while in the other model (general switch) the two
transcription factors can bind simultaneously to the shared operator region. We
assess the role of two pairs of reactions that influence the stability of these
switches: TF-TF homodimerisation and TF-DNA association/dissociation. We
factorise the flipping rate k into the product of the probability rho(q*) of
finding the system at the dividing surface (separatrix) between the two stable
states, and a kinetic prefactor R. In the case of the exclusive switch, the
rate of TF-operator binding affects both rho(q*) and R, while the rate of TF
dimerisation affects only R. In the case of the general switch both TF-operator
binding and TF dimerisation affect k, R and rho(q*). To elucidate this, we
analyse the transition state ensemble (TSE). For the exclusive switch, varying
the rate of TF-operator binding can drastically change the pathway of
switching, while changing the rate of dimerisation changes the switching rate
without altering the mechanism. The switching pathways of the general switch
are highly robust to changes in the rate constants of both TF-operator and
TF-TF binding, even though these rate constants do affect the flipping rate;
this feature is unique for non-equilibrium systems.
| q-bio.MN q-bio.QM | we present a detailed analysis based on the forward flux sampling ffs simulation method of the switching dynamics and stability of two models of genetic toggle switches consisting of two mutuallyrepressing genes encoding transcription factors tfs in one model the exclusive switch they mutually exclude each others binding while in the other model general switch the two transcription factors can bind simultaneously to the shared operator region we assess the role of two pairs of reactions that influence the stability of these switches tftf homodimerisation and tfdna associationdissociation we factorise the flipping rate k into the product of the probability rhoq of finding the system at the dividing surface separatrix between the two stable states and a kinetic prefactor r in the case of the exclusive switch the rate of tfoperator binding affects both rhoq and r while the rate of tf dimerisation affects only r in the case of the general switch both tfoperator binding and tf dimerisation affect k r and rhoq to elucidate this we analyse the transition state ensemble tse for the exclusive switch varying the rate of tfoperator binding can drastically change the pathway of switching while changing the rate of dimerisation changes the switching rate without altering the mechanism the switching pathways of the general switch are highly robust to changes in the rate constants of both tfoperator and tftf binding even though these rate constants do affect the flipping rate this feature is unique for nonequilibrium systems | [['we', 'present', 'a', 'detailed', 'analysis', 'based', 'on', 'the', 'forward', 'flux', 'sampling', 'ffs', 'simulation', 'method', 'of', 'the', 'switching', 'dynamics', 'and', 'stability', 'of', 'two', 'models', 'of', 'genetic', 'toggle', 'switches', 'consisting', 'of', 'two', 'mutuallyrepressing', 'genes', 'encoding', 'transcription', 'factors', 'tfs', 'in', 'one', 'model', 'the', 'exclusive', 'switch', 'they', 'mutually', 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711.4477 | Three-tangle for mixtures of generalized GHZ and generalized W states | We give a complete solution for the three-tangle of mixed three-qubit states
composed of a generalized GHZ state, a|000>+b|111>, and a generalized W state,
c|001>+d|010>+f|100>. Using the methods introduced by Lohmayer et al. we
provide explicit expressions for the mixed-state three-tangle and the
corresponding optimal decompositions for this more general case. Moreover, as a
special case we obtain a general solution for a family of states consisting of
a generalized GHZ state and an orthogonal product state.
| quant-ph | we give a complete solution for the threetangle of mixed threequbit states composed of a generalized ghz state a000b111 and a generalized w state c001d010f100 using the methods introduced by lohmayer et al we provide explicit expressions for the mixedstate threetangle and the corresponding optimal decompositions for this more general case moreover as a special case we obtain a general solution for a family of states consisting of a generalized ghz state and an orthogonal product state | [['we', 'give', 'a', 'complete', 'solution', 'for', 'the', 'threetangle', 'of', 'mixed', 'threequbit', 'states', 'composed', 'of', 'a', 'generalized', 'ghz', 'state', 'a000b111', 'and', 'a', 'generalized', 'w', 'state', 'c001d010f100', 'using', 'the', 'methods', 'introduced', 'by', 'lohmayer', 'et', 'al', 'we', 'provide', 'explicit', 'expressions', 'for', 'the', 'mixedstate', 'threetangle', 'and', 'the', 'corresponding', 'optimal', 'decompositions', 'for', 'this', 'more', 'general', 'case', 'moreover', 'as', 'a', 'special', 'case', 'we', 'obtain', 'a', 'general', 'solution', 'for', 'a', 'family', 'of', 'states', 'consisting', 'of', 'a', 'generalized', 'ghz', 'state', 'and', 'an', 'orthogonal', 'product', 'state']] | [-0.1134517512054535, 0.09177674881730864, -0.04541201870636763, 0.033998957902784586, -0.017496424708263698, -0.15046834587622937, 0.09257710195222013, 0.2926075588911772, -0.18544335339872822, -0.21606150745238, 0.10471744010401135, -0.21086676914332989, -0.12993245306298942, 0.20184319964735895, -0.02472381602116936, 0.06779208728363989, 0.08197375469387987, 0.025773354683691206, -0.1421727771757523, -0.21142832387389765, 0.3591793643663058, 0.010131920500645868, 0.2996304268017411, -0.011873039605750426, 0.1416534306607335, 0.03229646963646283, 0.04960428496092759, 0.019125280127785093, -0.16616928977010822, 0.12465411772466944, 0.2657920540077612, 0.1379831630384197, 0.22145314021287738, -0.3597818710715384, -0.16207990845086406, 0.13398737342071695, 0.07078830765031681, 0.1651365028291538, -0.04850916028737776, -0.3136038238472129, 0.02878736664786482, -0.25924677822134784, -0.1628284486879066, -0.11778749970442338, 0.046513059277188136, -0.04707904188969248, -0.34765279227616014, 0.10881528072059155, 0.07434649517558314, 0.004698090318187668, -0.0965446664674862, -0.16015803144074273, 0.0173198815145706, 0.08309396422417784, -0.14760728741719112, -0.015139090734206745, -0.014761752983857249, -0.08259637789435785, -0.16281003374102954, 0.3167768727407501, -0.07591119871751682, -0.2684549004644961, 0.12860213926162672, -0.02214383874466089, -0.13616278470569365, 0.05585481209217923, 0.14991194045020118, 0.17488135349609563, -0.09399902030221514, 0.06120231743615649, -0.12480941012098982, 0.14577783782009943, 0.08683880944610448, 0.07612690040873163, 0.1182113695335952, 0.07020229836170738, 0.1172749719179764, 0.2838847748431805, -0.02426457964198513, -0.09996950559434481, -0.329175555386354, -0.24045428997409102, -0.17622012877836823, 0.11597065053993484, -0.043498334653614204, -0.1643286463175271, 0.4768624144631463, -0.0024035048947946445, 0.16755737563771372, 0.06968777283484973, 0.2226485665038077, 0.13830170811726586, -0.04769506400790871, 0.1432584175034552, 0.19939482622352, 0.19631178070149208, 0.050455417181994464, -0.1547792749794049, 0.0335007574082025, 0.07136201138633329] |
711.4478 | Evidence for Two Current Conduction in Iron | Measurements of resistivities of dilute iron based alloys show strong
deviations from Matthiessen's rule. These deviations can be explained by a
model in which spin up and spin down electrons conduct in parallel. The results
are consistent with the theory of impurity shielding in these alloys. [This
1967 paper provides the first experimental demonstration of two current
conduction at low temperatures in a ferromagnetic metal. One direct consequence
of this property is the Giant Magnetoresistance discovered in 1988 by the
groups of Albert Fert and of Peter Gr\"unberg].
| cond-mat.mtrl-sci | measurements of resistivities of dilute iron based alloys show strong deviations from matthiessens rule these deviations can be explained by a model in which spin up and spin down electrons conduct in parallel the results are consistent with the theory of impurity shielding in these alloys this 1967 paper provides the first experimental demonstration of two current conduction at low temperatures in a ferromagnetic metal one direct consequence of this property is the giant magnetoresistance discovered in 1988 by the groups of albert fert and of peter grunberg | [['measurements', 'of', 'resistivities', 'of', 'dilute', 'iron', 'based', 'alloys', 'show', 'strong', 'deviations', 'from', 'matthiessens', 'rule', 'these', 'deviations', 'can', 'be', 'explained', 'by', 'a', 'model', 'in', 'which', 'spin', 'up', 'and', 'spin', 'down', 'electrons', 'conduct', 'in', 'parallel', 'the', 'results', 'are', 'consistent', 'with', 'the', 'theory', 'of', 'impurity', 'shielding', 'in', 'these', 'alloys', 'this', '1967', 'paper', 'provides', 'the', 'first', 'experimental', 'demonstration', 'of', 'two', 'current', 'conduction', 'at', 'low', 'temperatures', 'in', 'a', 'ferromagnetic', 'metal', 'one', 'direct', 'consequence', 'of', 'this', 'property', 'is', 'the', 'giant', 'magnetoresistance', 'discovered', 'in', '1988', 'by', 'the', 'groups', 'of', 'albert', 'fert', 'and', 'of', 'peter', 'grunberg']] | [-0.09274749980646778, 0.1741834599154324, -0.04724077155167999, 0.02319655245281121, -0.024857038200769403, -0.11611212041779337, 0.09506679384503514, 0.32633354161358014, -0.24106514498866585, -0.3250596180111064, 0.022411620687555776, -0.3136568298478695, -0.10134333557322282, 0.20825292896734027, 0.0033271486807445235, -0.03179674418854781, 0.0044713609386235476, -0.06432432964753719, -0.09343556454140609, -0.23408436653765172, 0.2504774679916657, 0.03806869930122048, 0.26819293008355255, 0.09564044434492561, 0.05018878175178543, -0.014043304741128602, 0.03861866345819594, 0.05575115670746362, -0.11166029045538876, 0.05241997604290108, 0.2530131018482445, -0.05113343455278399, 0.201950752758421, -0.43680606716820464, -0.17423832181587137, -0.005762239484201101, 0.09133411227958277, 0.144366392181837, -0.07727185493356294, -0.27994863011620263, 0.0676879742426205, -0.18785836802668532, -0.1284004360627891, -0.06438730151752349, -0.02085021298791451, 0.006467354949563742, -0.25345360264393757, 0.15545067102224988, 0.12741132446734066, 0.10988355503121222, -0.05143772502196953, -0.16440844315696845, -0.009617075927301565, 0.03151813798732209, 0.07926278589151149, 0.00525406991999427, 0.11456235947447237, -0.07815917280227454, -0.17848406899958552, 0.3618327441032637, -0.08616094385533044, -0.035345644362016836, 0.1648179808583915, -0.20006242127750407, -0.12253863141152331, 0.14501939505465666, 0.11225445377005433, 0.1046033546497876, -0.18431167414581234, 0.09610597294158651, -0.06880323935977438, 0.09703641173704951, 0.04928323192077435, -0.0019109197468920188, 0.27363863392648374, 0.19195409722372211, -0.026718950110741636, 0.11208131452043414, -0.10524094403213398, -0.03367560423000462, -0.22471549041272904, -0.1961887163395824, -0.21402367714538492, 0.09758236750283024, -0.061607215567412575, -0.1377339830055875, 0.3468000766852955, 0.16656186463792852, 0.16524241209580479, -0.0026778292839563537, 0.22303241990845313, 0.0848263331400548, 0.061217562231997195, 0.0411723556198095, 0.3078809889583764, 0.21469202467811888, 0.11740288627333939, -0.2352095112146344, 0.08677744591841474, 0.02549170977330174] |
711.4479 | On parallel electric field generation in transversely inhomogeneous
plasmas | The generation of parallel electric fields by the propagation of ion
cyclotron waves in the plasma with a transverse density inhomogeneity was
studied. It was proven that the minimal model required to reproduce the
previous kinetic simulation results of E_{||} generation [Tsiklauri et al 2005,
Genot et al 2004] is the two-fluid, cold plasma approximation in the linear
regime. By considering the numerical solutions it was also shown that the cause
of E_{||} generation is the electron and ion flow separation induced by the
transverse density inhomogeneity. We also investigate how E_{||} generation is
affected by the mass ratio and found that amplitude attained by E_{||}
decreases linearly as inverse of the mass ratio m_i/m_e. For realistic mass
ratio of m_i/m_e=1836, such empirical scaling law, within a time corresponding
to 3 periods of the driving ion cyclotron wave, is producing E_{||}=14 Vm^{-1}
for solar coronal parameters. Increase in mass ratio does not have any effect
on final parallel (magnetic field aligned) speed attained by electrons.
However, parallel ion velocity decreases linearly with inverse of the mass
ratio m_i/m_e. These results can be interpreted as following: (i) ion dynamics
plays no role in the E_{||} generation; (ii) E_{||} \propto 1/m_i scaling is
caused by the fact that omega_d = 0.3 omega_{ci} \propto 1/m_i is decreasing
with the increase of ion mass, and hence the electron fluid can effectively
"short-circuit" (recombine with) the slowly oscillating ions, hence producing
smaller E_{||}.
| astro-ph | the generation of parallel electric fields by the propagation of ion cyclotron waves in the plasma with a transverse density inhomogeneity was studied it was proven that the minimal model required to reproduce the previous kinetic simulation results of e_ generation tsiklauri et al 2005 genot et al 2004 is the twofluid cold plasma approximation in the linear regime by considering the numerical solutions it was also shown that the cause of e_ generation is the electron and ion flow separation induced by the transverse density inhomogeneity we also investigate how e_ generation is affected by the mass ratio and found that amplitude attained by e_ decreases linearly as inverse of the mass ratio m_im_e for realistic mass ratio of m_im_e1836 such empirical scaling law within a time corresponding to 3 periods of the driving ion cyclotron wave is producing e_14 vm1 for solar coronal parameters increase in mass ratio does not have any effect on final parallel magnetic field aligned speed attained by electrons however parallel ion velocity decreases linearly with inverse of the mass ratio m_im_e these results can be interpreted as following i ion dynamics plays no role in the e_ generation ii e_ propto 1m_i scaling is caused by the fact that omega_d 03 omega_ci propto 1m_i is decreasing with the increase of ion mass and hence the electron fluid can effectively shortcircuit recombine with the slowly oscillating ions hence producing smaller e_ | [['the', 'generation', 'of', 'parallel', 'electric', 'fields', 'by', 'the', 'propagation', 'of', 'ion', 'cyclotron', 'waves', 'in', 'the', 'plasma', 'with', 'a', 'transverse', 'density', 'inhomogeneity', 'was', 'studied', 'it', 'was', 'proven', 'that', 'the', 'minimal', 'model', 'required', 'to', 'reproduce', 'the', 'previous', 'kinetic', 'simulation', 'results', 'of', 'e_', 'generation', 'tsiklauri', 'et', 'al', '2005', 'genot', 'et', 'al', '2004', 'is', 'the', 'twofluid', 'cold', 'plasma', 'approximation', 'in', 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711.448 | Homogeneous geodesics of left invariant Finsler metrics | In this paper, we study the set of homogeneous geodesics of a leftinvariant
Finsler metric on Lie groups. We first give a simple criterion that
characterizes geodesic vectors. As an application, we study some geometric
properties of bi-invariant Finsler metrics on Lie groups. In particular a
necessary and sufficient condition that left-invariant Randers metrics are of
Berwald type is given. Finally a correspondence of homogeneous geodesics to
critical points of restricted Finsler metrics is given. Then results concerning
the existence homogeneous geodesics are obtained.
| math.DG | in this paper we study the set of homogeneous geodesics of a leftinvariant finsler metric on lie groups we first give a simple criterion that characterizes geodesic vectors as an application we study some geometric properties of biinvariant finsler metrics on lie groups in particular a necessary and sufficient condition that leftinvariant randers metrics are of berwald type is given finally a correspondence of homogeneous geodesics to critical points of restricted finsler metrics is given then results concerning the existence homogeneous geodesics are obtained | [['in', 'this', 'paper', 'we', 'study', 'the', 'set', 'of', 'homogeneous', 'geodesics', 'of', 'a', 'leftinvariant', 'finsler', 'metric', 'on', 'lie', 'groups', 'we', 'first', 'give', 'a', 'simple', 'criterion', 'that', 'characterizes', 'geodesic', 'vectors', 'as', 'an', 'application', 'we', 'study', 'some', 'geometric', 'properties', 'of', 'biinvariant', 'finsler', 'metrics', 'on', 'lie', 'groups', 'in', 'particular', 'a', 'necessary', 'and', 'sufficient', 'condition', 'that', 'leftinvariant', 'randers', 'metrics', 'are', 'of', 'berwald', 'type', 'is', 'given', 'finally', 'a', 'correspondence', 'of', 'homogeneous', 'geodesics', 'to', 'critical', 'points', 'of', 'restricted', 'finsler', 'metrics', 'is', 'given', 'then', 'results', 'concerning', 'the', 'existence', 'homogeneous', 'geodesics', 'are', 'obtained']] | [-0.26096647007701296, 0.04790342660566066, -0.0845598704403355, 0.10585894127836495, -0.20705406888875932, -0.12527363835570646, -0.031717922911325115, 0.43532467143432724, -0.2344762555633982, -0.1695890972013807, 0.09564096372785225, -0.26971242144437774, -0.23353464149736933, 0.21130638415481717, -0.14615628265476385, 0.008757312876349758, 0.08953847690662813, 0.15844222852527828, -0.15628965782733367, -0.2960388390125618, 0.5255543923981133, 0.020062512962058895, 0.2609922433316353, 0.06074970112586882, 0.15512979171407573, -0.06720334628508204, -0.004362900631219547, 0.10643438796978444, -0.2752472068069827, 0.09257570838478084, 0.23551595779801054, 0.14011396640645607, 0.20526927915800894, -0.3211695578924957, -0.16327227216901347, 0.2051861844069901, 0.09379707848364931, 0.004258265170002622, -0.05393801943587494, -0.33947840324115186, 0.12049683128550116, -0.0427556956918644, -0.17007472354453057, -0.08674547251402623, 0.02494679235609337, 0.036030530070309486, -0.15024372588266574, 0.051919395791455394, 0.12990555536401058, 0.12397369465214156, -0.18441091495610418, 0.0002723619524788644, -0.005591644625556434, 0.07809717909410774, 0.017228990200064367, 0.015606023221542793, 0.0767954984801777, 0.006318667606267679, -0.13359822372218505, 0.4234395901716891, -0.05840383650017126, -0.34246757138697875, 0.11530358005048973, -0.12579701744419122, -0.18146005143145366, 0.01811658700795046, 0.1986931947481242, 0.21019054561232528, -0.153241766738661, 0.14446519974860297, -0.10378191707145777, 0.004193314240269717, 0.11846634496136435, -0.013359407328867487, 0.10868995149489603, 0.1011442198456886, 0.160442396011647, 0.11781880497610905, 0.05920429592619517, -0.02619848880428998, -0.4418225334513755, -0.2489208647138661, -0.12763293844182044, 0.16795529885261895, -0.1931064896383586, -0.238101269800349, 0.4050937373235467, 0.021466261175061976, 0.16391373860339323, 0.12597210341343834, 0.16430366232192942, 0.001019263378977831, -0.028614393302372525, 0.11516960306713979, 0.20704047670872006, 0.23184451453077295, -0.01812061592049542, -0.070455901485513, -0.03900175385310182, 0.17245231058248983] |
711.4481 | Invariance property of orbifold elliptic genus for multi-fans | Multi-fan is an analogous notion of fan. As a fan is associated to a toric
variety a multi-fan is associated to a torus orbifold. Orbifold elliptic class
and orbifold elliptic genus are defined for a triple of a multi-fan, a set of
generating integral vectors of one dimensional cones and a $\mathbb{Q}$
divisor. They are shown to behave functorially with respect to birational
morphisms between these triples. The result may be considered as a
combinatorial or topological analogue of the main result of Borisov and
Libgober, McKay correspondence for elliptic genera, Ann. of Math., 161 (2005).
| math.AT math.AG | multifan is an analogous notion of fan as a fan is associated to a toric variety a multifan is associated to a torus orbifold orbifold elliptic class and orbifold elliptic genus are defined for a triple of a multifan a set of generating integral vectors of one dimensional cones and a mathbbq divisor they are shown to behave functorially with respect to birational morphisms between these triples the result may be considered as a combinatorial or topological analogue of the main result of borisov and libgober mckay correspondence for elliptic genera ann of math 161 2005 | [['multifan', 'is', 'an', 'analogous', 'notion', 'of', 'fan', 'as', 'a', 'fan', 'is', 'associated', 'to', 'a', 'toric', 'variety', 'a', 'multifan', 'is', 'associated', 'to', 'a', 'torus', 'orbifold', 'orbifold', 'elliptic', 'class', 'and', 'orbifold', 'elliptic', 'genus', 'are', 'defined', 'for', 'a', 'triple', 'of', 'a', 'multifan', 'a', 'set', 'of', 'generating', 'integral', 'vectors', 'of', 'one', 'dimensional', 'cones', 'and', 'a', 'mathbbq', 'divisor', 'they', 'are', 'shown', 'to', 'behave', 'functorially', 'with', 'respect', 'to', 'birational', 'morphisms', 'between', 'these', 'triples', 'the', 'result', 'may', 'be', 'considered', 'as', 'a', 'combinatorial', 'or', 'topological', 'analogue', 'of', 'the', 'main', 'result', 'of', 'borisov', 'and', 'libgober', 'mckay', 'correspondence', 'for', 'elliptic', 'genera', 'ann', 'of', 'math', '161', '2005']] | [-0.19605934969028263, 0.0353276671050177, -0.12415706709968315, 0.11073235176566716, -0.12645451575129604, -0.1638738569169315, -0.03507029593068486, 0.305416802468244, -0.32760277330574655, -0.2628306987638401, 0.09108225327630255, -0.27234516785150237, -0.15433238271361915, 0.23733644161984557, -0.2310637202754151, 0.023906799062388018, 0.03850403743369194, 0.03191566022724146, -0.08618773587651656, -0.2909419671244298, 0.42599075206089765, -0.045745219016680494, 0.19137532206756683, 0.04092985908209812, 0.09813909808144672, -0.01816120901397274, 0.00842456410949429, 0.011312808273639044, -0.10649754641538796, 0.15599618082039038, 0.35629734687972814, 0.016213510500771616, 0.130682437797077, -0.3025681328920958, -0.1339669271352856, 0.19766843417407168, 0.08094815880667738, -0.007484397416798553, 0.02413425370226226, -0.22278999090970805, 0.09586295391939832, -0.16788273581672306, -0.22154591647267807, -0.05512831855109349, 0.06007704696579216, 0.034359704091912135, -0.2713048001169227, -0.03283629311287465, 0.12775247364576595, 0.15589597064536065, 0.002366088825510815, -0.09721871288638795, -0.14468529688989898, 0.03156405841339923, -0.01352351764459551, 0.13917658840849376, 0.04189643906041359, -0.11250681944367595, -0.18005089692693824, 0.3604829797404818, -0.015578027353816045, -0.22535928038026518, 0.15321674647808928, -0.0679888429294806, -0.14007595391012728, 0.15813772143640867, 0.10183905142669876, 0.16375176676471406, -0.021999928925652057, 0.14723140559908643, -0.16861884169823801, 0.02548850156017579, 0.15625222853850573, -0.047567491312899314, 0.17993960664777356, 0.058925234882432655, 0.05836498147497574, 0.14812308945086747, 0.0013047391342600652, -0.07184888433281837, -0.3607923555828165, -0.22955832728378786, -0.11570477514760569, 0.2404239286261145, -0.09030331381609358, -0.2146253840458788, 0.39938022623149055, -0.00027163097486967064, 0.23591749225549088, 0.07160896021347678, 0.14515586301179914, 0.06357648185454916, 0.02219066075243366, 0.04082436626291989, 0.10058100977524494, 0.25089417250516516, -0.02046117856904554, -0.0928415636032393, -0.060640514275291935, 0.28043725309544243] |
711.4482 | The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical
(rho0, omega, phi) Mixing Approach | We readdress the problem of finding a simultaneous description of the pion
form factor data in e+e- annihilations and in tau decays. For this purpose, we
work in the framework of the Hidden Local Symmetry (HLS) Lagrangian and modify
the vector meson mass term by including the pion and kaon loop contributions.
This leads us to define the physical rho, omega and phi fields as linear
combinations of their ideal partners, with coefficients being meromorphic
functions of s, the square of the 4--momentum flowing into the vector meson
lines. This allows us to define a dynamical, i.e. s-dependent, vector meson
mixing scheme. The model is overconstrained by extending the framework in order
to include the description of all meson radiative (V P gamma and P gamma gamma
couplings) and leptonic (Ve+e- couplings) decays and also the isospin breaking
(omega/ phi --> pi+ pi-) decay modes. The model provides a simultaneous,
consistent and good description of the e+e- and tau dipion spectra. The
expression for pion form factor in the latter case is derived from those in the
former case by switching off the isospin breaking effects specific to e+e- and
switching on those for tau decays. Besides, the model also provides a good
account of all decay modes of the form V P gamma, Pgamma gamma as well as the
isospin breaking decay modes. It leads us to propose new reference values for
the rho^0 --> e+ e- and omega --> pi+ pi- partial widths which are part of our
description of the pion form factor. Other topics (phi --> K anti K, the rho
meson mass and width parameters) are briefly discussed. Therefore, we confirm
the 3.3 sigma discrepancy between the theoretical estimate of a_mu based on
e+e- and its direct BNL measurement.
| hep-ph astro-ph hep-ex nucl-th | we readdress the problem of finding a simultaneous description of the pion form factor data in ee annihilations and in tau decays for this purpose we work in the framework of the hidden local symmetry hls lagrangian and modify the vector meson mass term by including the pion and kaon loop contributions this leads us to define the physical rho omega and phi fields as linear combinations of their ideal partners with coefficients being meromorphic functions of s the square of the 4momentum flowing into the vector meson lines this allows us to define a dynamical ie sdependent vector meson mixing scheme the model is overconstrained by extending the framework in order to include the description of all meson radiative v p gamma and p gamma gamma couplings and leptonic vee couplings decays and also the isospin breaking omega phi pi pi decay modes the model provides a simultaneous consistent and good description of the ee and tau dipion spectra the expression for pion form factor in the latter case is derived from those in the former case by switching off the isospin breaking effects specific to ee and switching on those for tau decays besides the model also provides a good account of all decay modes of the form v p gamma pgamma gamma as well as the isospin breaking decay modes it leads us to propose new reference values for the rho0 e e and omega pi pi partial widths which are part of our description of the pion form factor other topics phi k anti k the rho meson mass and width parameters are briefly discussed therefore we confirm the 33 sigma discrepancy between the theoretical estimate of a_mu based on ee and its direct bnl measurement | [['we', 'readdress', 'the', 'problem', 'of', 'finding', 'a', 'simultaneous', 'description', 'of', 'the', 'pion', 'form', 'factor', 'data', 'in', 'ee', 'annihilations', 'and', 'in', 'tau', 'decays', 'for', 'this', 'purpose', 'we', 'work', 'in', 'the', 'framework', 'of', 'the', 'hidden', 'local', 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711.4483 | A class of positive atomic maps | We construct a new class of positive indecomposable maps in the algebra of `d
x d' complex matrices. These maps are characterized by the `weakest' positivity
property and for this reason they are called atomic. This class provides a new
reach family of atomic entanglement witnesses which define important tool for
investigating quantum entanglement. It turns out that they are able to detect
states with the `weakest' quantum entanglement.
| quant-ph math-ph math.MP math.OA | we construct a new class of positive indecomposable maps in the algebra of d x d complex matrices these maps are characterized by the weakest positivity property and for this reason they are called atomic this class provides a new reach family of atomic entanglement witnesses which define important tool for investigating quantum entanglement it turns out that they are able to detect states with the weakest quantum entanglement | [['we', 'construct', 'a', 'new', 'class', 'of', 'positive', 'indecomposable', 'maps', 'in', 'the', 'algebra', 'of', 'd', 'x', 'd', 'complex', 'matrices', 'these', 'maps', 'are', 'characterized', 'by', 'the', 'weakest', 'positivity', 'property', 'and', 'for', 'this', 'reason', 'they', 'are', 'called', 'atomic', 'this', 'class', 'provides', 'a', 'new', 'reach', 'family', 'of', 'atomic', 'entanglement', 'witnesses', 'which', 'define', 'important', 'tool', 'for', 'investigating', 'quantum', 'entanglement', 'it', 'turns', 'out', 'that', 'they', 'are', 'able', 'to', 'detect', 'states', 'with', 'the', 'weakest', 'quantum', 'entanglement']] | [-0.13700292099889813, 0.17563554867292228, -0.06183300075539644, 0.11440903424501311, -0.021636275331611218, -0.23771007701862548, 0.004992992984994814, 0.35127145483873895, -0.3019682270731183, -0.22830147175388277, 0.07370706326901859, -0.25222256010992156, -0.15469950359007614, 0.1750482962858202, -0.018966825678944588, 0.08141491425804039, 0.021197603386151943, 0.02815144716937473, -0.06465465652729398, -0.2371421566914659, 0.3708604208423176, 0.010992534387775737, 0.22392999591386836, 0.06824355866031154, 0.12519357172583323, -0.0481627416945454, -0.04175155825804973, 0.032871048006674515, -0.14179733452655838, 0.163815378153231, 0.3320378801950753, 0.16945733028747464, 0.24713872880607413, -0.33304329454035, -0.1498924786278951, 0.19099492869893278, 0.09441313121224874, 0.11375034821010532, -0.005973188611476317, -0.3011815108736788, 0.09983739698899613, -0.14333555541014759, -0.1533738893483752, -0.18976809438048065, 0.06824461930849846, -0.050524869856114187, -0.24061704022081, 0.010751450447824554, 0.1066868766548409, 0.06082863915387703, 0.02763224080663876, -0.043124464610456555, -0.034365916226491114, 0.1267784514153997, -0.0953628209999938, -0.0023079311181588664, 0.11209564494724938, -0.06578110194211637, -0.10804722091837692, 0.35397352506592195, -0.011976029305462387, -0.22110455846278995, 0.20138975069858134, -0.1347246154791851, -0.19879697176857272, 0.1027822116308886, 0.09200663664850636, 0.13209954101214375, -0.11153562317021946, 0.07280821573120826, -0.11231842646510273, 0.12860251587150834, 0.06430705098867201, 0.14679658136910934, 0.23248104815897735, 0.035837860939943275, 0.122092685756692, 0.21463569693699264, -0.020946013680456774, -0.09975626389158593, -0.3282836214436785, -0.22304884217463541, -0.15171439540100054, 0.1376297972637458, -0.0588987814294144, -0.16530679056987815, 0.38943629347435804, 0.12230751459635254, 0.16852061700183843, 0.05688670299360123, 0.1590946719026787, 0.08988652389118637, 0.10649831112528192, 0.07050569401379081, 0.2113299254881407, 0.1833212618223405, 0.039026431685340576, -0.1590200253235905, 0.08377411976571371, 0.10488215273759072] |
711.4484 | Orbits of real forms in complex flag manifolds | We investigate the $CR$ geometry of the orbits $M$ of a real form $G_0$ of a
complex simple group $G$ in a complex flag manifold $X=G/Q$. We are mainly
concerned with finite type, Levi non-degeneracy conditions, canonical
$G_0$-equivariant and Mostow fibrations, and topological properties of the
orbits.
| math.CV math.DG | we investigate the cr geometry of the orbits m of a real form g_0 of a complex simple group g in a complex flag manifold xgq we are mainly concerned with finite type levi nondegeneracy conditions canonical g_0equivariant and mostow fibrations and topological properties of the orbits | [['we', 'investigate', 'the', 'cr', 'geometry', 'of', 'the', 'orbits', 'm', 'of', 'a', 'real', 'form', 'g_0', 'of', 'a', 'complex', 'simple', 'group', 'g', 'in', 'a', 'complex', 'flag', 'manifold', 'xgq', 'we', 'are', 'mainly', 'concerned', 'with', 'finite', 'type', 'levi', 'nondegeneracy', 'conditions', 'canonical', 'g_0equivariant', 'and', 'mostow', 'fibrations', 'and', 'topological', 'properties', 'of', 'the', 'orbits']] | [-0.29631956371114304, 0.0566156448583807, -0.06351105565124232, 0.07374444670732254, -0.14783948697858368, -0.10650996344528445, -0.030515885842285807, 0.3689110228872817, -0.2725444531635098, -0.20052643585950136, 0.06834502532096255, -0.21255581190242714, -0.1968430077717842, 0.1815924378587743, -0.14620828630564653, -0.01668981057288044, 0.08351884976171119, 0.09757581209946099, -0.16439789209676825, -0.2354467396178971, 0.4858861730798431, -0.08129505298869766, 0.18987990761904613, 0.009260406920119472, 0.08769551415563277, -0.04002923001130314, 0.038347494383545025, 0.013268991211510223, -0.18518670958102398, 0.14289983840274584, 0.21927122806158403, 0.03812525123762696, 0.17934516487319185, -0.3871480686509091, -0.1898780390512674, 0.177029552768268, 0.051342233246111355, -0.02814110119462661, -0.020389992379299973, -0.3073704287247813, 0.1435650097273933, -0.13057598786975216, -0.2163004888140637, -0.04075994879088324, 0.04970679131751556, 0.03133225206123746, -0.1878971624714525, -0.006358318294034056, 0.12703272461405266, 0.16848674116899137, -0.07829014980234206, -0.07456213908027047, -0.10171646033616169, 0.07058093460965091, -0.028190611517461744, -0.03662652897891467, 0.12189022315990018, -0.0722104266245404, -0.0595244768925983, 0.44046597628165846, -0.07343689208526326, -0.2521953098475933, 0.19266726612113416, -0.18125793131311302, -0.16755612671334782, 0.13573326444779726, 0.1375438892485007, 0.20215771671222604, -0.04994549579999369, 0.22985416205103873, -0.0799107848484393, 0.02779306070474179, 0.05887935155719195, -0.05821444960715978, 0.11189962595033096, 0.10607290008287552, 0.10153790897406313, 0.06705493932974566, 0.02903470097352629, -0.00359594796622253, -0.32016102082865394, -0.20138877963282817, -0.1173953851684928, 0.2234760835847777, -0.10810327637148515, -0.19857934313704786, 0.4126116261847884, -0.048198431375962886, 0.2601251183482616, 0.045714603372566075, 0.19679548121664836, 0.015334443594126598, -0.01646737872784876, 0.07148714384833432, 0.12384323225073192, 0.2914363194823913, -0.041439160583135876, -0.16971769324584823, -0.07796459655155955, 0.14638744219732674] |
711.4485 | Higher class field theory and the connected component | In this note we present a new self-contained approach to the class field
theory of arithmetic schemes in the sense of Wiesend. Along the way we prove
new results on space filling curves on arithmetic schemes and on the class
field theory of local rings. We show how one can deduce the more classical
version of higher global class field theory due to Kato and Saito from
Wiesend's version. One of our new results says that the connected component of
the identity element in Wiesend's class group is divisible if some obstruction
is absent.
| math.AG math.NT | in this note we present a new selfcontained approach to the class field theory of arithmetic schemes in the sense of wiesend along the way we prove new results on space filling curves on arithmetic schemes and on the class field theory of local rings we show how one can deduce the more classical version of higher global class field theory due to kato and saito from wiesends version one of our new results says that the connected component of the identity element in wiesends class group is divisible if some obstruction is absent | [['in', 'this', 'note', 'we', 'present', 'a', 'new', 'selfcontained', 'approach', 'to', 'the', 'class', 'field', 'theory', 'of', 'arithmetic', 'schemes', 'in', 'the', 'sense', 'of', 'wiesend', 'along', 'the', 'way', 'we', 'prove', 'new', 'results', 'on', 'space', 'filling', 'curves', 'on', 'arithmetic', 'schemes', 'and', 'on', 'the', 'class', 'field', 'theory', 'of', 'local', 'rings', 'we', 'show', 'how', 'one', 'can', 'deduce', 'the', 'more', 'classical', 'version', 'of', 'higher', 'global', 'class', 'field', 'theory', 'due', 'to', 'kato', 'and', 'saito', 'from', 'wiesends', 'version', 'one', 'of', 'our', 'new', 'results', 'says', 'that', 'the', 'connected', 'component', 'of', 'the', 'identity', 'element', 'in', 'wiesends', 'class', 'group', 'is', 'divisible', 'if', 'some', 'obstruction', 'is', 'absent']] | [-0.1436230245945094, 0.04022093068918474, -0.12868381103360524, 0.08293315854489362, -0.08678916076658874, -0.11216810078770724, 0.015089708669561773, 0.3248412163066928, -0.3102545787890752, -0.24136867562449107, 0.08309368136519145, -0.2200246599392705, -0.2026113081643338, 0.2573159230242093, -0.1724008320760663, -0.057587313996527785, 0.021838972194781228, 0.05518841459065355, -0.057783523136349296, -0.2977313611966868, 0.39443558688345615, -0.03950706529881685, 0.23359413964733963, 0.044688709490802336, 0.08442257888995672, 0.02452375434144395, -0.039661974966606145, 0.033426543139109026, -0.1416217881454041, 0.16643857871813159, 0.21630427868215626, 0.06454958814516744, 0.26467378584728124, -0.39159061672586587, -0.17773215486718122, 0.11648187574039223, 0.08005167006625123, 0.11995813658120491, -0.03868151357837437, -0.2418860246136945, 0.14767514806120627, -0.1685686497047784, -0.1994849460459845, -0.07883896126026307, -0.01880136155398182, 0.008359205618660936, -0.22026984687013332, 0.024264192323811273, 0.10727645140341534, 0.08790813615765944, -0.05510544096450171, -0.08844324415149067, 0.04046484748131886, 0.05017012761284908, 0.033027804301430784, 0.057074637437659885, 0.08124369940149688, -0.09984586352322211, -0.12177170986955564, 0.36380698589447846, -0.10425545269953868, -0.17039489778389613, 0.15667858018830258, -0.15503002067286803, -0.20267522100219001, 0.11062166054723083, 0.1224676079357103, 0.1591061857048302, -0.051662131007360196, 0.1488923847885622, -0.12083348019989909, 0.13829347817727955, 0.024448000054846528, 0.037281221334612175, 0.12318874966172923, 0.0736908254023361, 0.11758159655797225, 0.12374554233630539, -0.01470020941461146, -0.08850969004655077, -0.36527938495880813, -0.20323176485716657, -0.1489848745335895, 0.08182471337658102, -0.055499155114101924, -0.1644216633041299, 0.4040021726089249, 0.1405451573019657, 0.11521289477585464, 0.1080586063795753, 0.2308847445153421, 0.08824363216302128, 0.05727553333566394, 0.09255434453527453, 0.16006813555491478, 0.20337514782584803, 0.03572222782218809, -0.1247552349858026, -0.011362431821243097, 0.21112182785967185] |
711.4486 | Laws of large numbers in stochastic geometry with statistical
applications | Given $n$ independent random marked $d$-vectors (points) $X_i$ distributed
with a common density, define the measure $\nu_n=\sum_i\xi_i$, where $\xi_i$ is
a measure (not necessarily a point measure) which stabilizes; this means that
$\xi_i$ is determined by the (suitably rescaled) set of points near $X_i$. For
bounded test functions $f$ on $R^d$, we give weak and strong laws of large
numbers for $\nu_n(f)$. The general results are applied to demonstrate that an
unknown set $A$ in $d$-space can be consistently estimated, given data on which
of the points $X_i$ lie in $A$, by the corresponding union of Voronoi cells,
answering a question raised by Khmaladze and Toronjadze. Further applications
are given concerning the Gamma statistic for estimating the variance in
nonparametric regression.
| math.ST stat.TH | given n independent random marked dvectors points x_i distributed with a common density define the measure nu_nsum_ixi_i where xi_i is a measure not necessarily a point measure which stabilizes this means that xi_i is determined by the suitably rescaled set of points near x_i for bounded test functions f on rd we give weak and strong laws of large numbers for nu_nf the general results are applied to demonstrate that an unknown set a in dspace can be consistently estimated given data on which of the points x_i lie in a by the corresponding union of voronoi cells answering a question raised by khmaladze and toronjadze further applications are given concerning the gamma statistic for estimating the variance in nonparametric regression | [['given', 'n', 'independent', 'random', 'marked', 'dvectors', 'points', 'x_i', 'distributed', 'with', 'a', 'common', 'density', 'define', 'the', 'measure', 'nu_nsum_ixi_i', 'where', 'xi_i', 'is', 'a', 'measure', 'not', 'necessarily', 'a', 'point', 'measure', 'which', 'stabilizes', 'this', 'means', 'that', 'xi_i', 'is', 'determined', 'by', 'the', 'suitably', 'rescaled', 'set', 'of', 'points', 'near', 'x_i', 'for', 'bounded', 'test', 'functions', 'f', 'on', 'rd', 'we', 'give', 'weak', 'and', 'strong', 'laws', 'of', 'large', 'numbers', 'for', 'nu_nf', 'the', 'general', 'results', 'are', 'applied', 'to', 'demonstrate', 'that', 'an', 'unknown', 'set', 'a', 'in', 'dspace', 'can', 'be', 'consistently', 'estimated', 'given', 'data', 'on', 'which', 'of', 'the', 'points', 'x_i', 'lie', 'in', 'a', 'by', 'the', 'corresponding', 'union', 'of', 'voronoi', 'cells', 'answering', 'a', 'question', 'raised', 'by', 'khmaladze', 'and', 'toronjadze', 'further', 'applications', 'are', 'given', 'concerning', 'the', 'gamma', 'statistic', 'for', 'estimating', 'the', 'variance', 'in', 'nonparametric', 'regression']] | [-0.12846413097601833, 0.12515048236809118, -0.041053246517302626, 0.03510770103519277, -0.019594352392448208, -0.1512471249137642, 0.09656579078913083, 0.3306352219907409, -0.2942667691179125, -0.2263793588647524, 0.07941145251477454, -0.2890470606922093, -0.11135785384458821, 0.19242782841862763, -0.11176735843074019, 0.04607517829448995, 0.014213486426604627, 0.06625849286773068, -0.022150354818993453, -0.279170941022793, 0.3392098389686306, -0.018718706700414166, 0.24646210189814033, -0.010338138473235954, 0.13969046274156674, 0.01039483288097811, -0.05265587723766595, 0.06526859897441405, -0.15354959040121038, 0.10266996377889635, 0.24433664462560692, 0.14784365185082374, 0.30608700023237934, -0.3392009333277248, -0.16479357514704057, 0.1962857428332396, 0.1320229795321396, -0.009429240190834439, -0.016158726852647645, -0.29575896198798163, 0.135026435087577, -0.07414909627020233, -0.1467329492714548, -0.06986492379347525, 0.05459658159890165, 0.08442187873583476, -0.34416031078593334, 0.025150813298473546, 0.06712565351261805, 0.06779248137579505, -0.002675286695455848, -0.13703932261027363, -0.009521873119302977, 0.08645817630734863, 0.015624566863969727, 0.10039030118071932, 0.10019934955210882, -0.06752207644986209, -0.09338667683729554, 0.35834644072673333, -0.04817022312870565, -0.2715797474481051, 0.1064134941010152, -0.17549801685342217, -0.14690508411692108, 0.08930066501390252, 0.17374745984877443, 0.10871480535557967, -0.14460932055361947, 0.14203067624179835, -0.09949977514906234, 0.12340825387415816, 0.07578547424400005, -0.03246235050472147, 0.20227207266922914, 0.09705168591275559, 0.11160185033755408, 0.10118007707366151, -0.058484843162567184, -0.03646154629492785, -0.36256309194585024, -0.10993771734884229, -0.27170253707632674, 0.07091965672169848, -0.16286991322013525, -0.2046185960101311, 0.33613755126775763, 0.11895263282645305, 0.2835806896120815, 0.07960776689115091, 0.2043961688019809, 0.1523389425190359, 0.0006476986346277013, 0.09578591560692352, 0.10928864941648128, 0.11930166864254654, -0.022033347483819066, -0.13756820786412868, 0.08598899773037913, 0.08213065955548654] |
711.4487 | Generalized Diffusion | The Fokker-Planck equation for the probability $f(r,t)$ to find a random
walker at position $r$ at time $t$ is derived for the case that the the
probability to make jumps depends nonlinearly on $f(r,t)$. The result is a
generalized form of the classical Fokker-Planck equation where the effects of
drift, due to a violation of detailed balance, and of external fields are also
considered. It is shown that in the absence of drift and external fields a
scaling solution, describing anomalous diffusion, is only possible if the
nonlinearity in the jump probability is of the power law type ($\sim f^{\eta
}(r,t)$), in which case the generalized Fokker-Planck equation reduces to the
well-known Porous Media equation. Monte-Carlo simulations are shown to confirm
the theoretical results.
| cond-mat.stat-mech cond-mat.mtrl-sci cond-mat.soft | the fokkerplanck equation for the probability frt to find a random walker at position r at time t is derived for the case that the the probability to make jumps depends nonlinearly on frt the result is a generalized form of the classical fokkerplanck equation where the effects of drift due to a violation of detailed balance and of external fields are also considered it is shown that in the absence of drift and external fields a scaling solution describing anomalous diffusion is only possible if the nonlinearity in the jump probability is of the power law type sim feta rt in which case the generalized fokkerplanck equation reduces to the wellknown porous media equation montecarlo simulations are shown to confirm the theoretical results | [['the', 'fokkerplanck', 'equation', 'for', 'the', 'probability', 'frt', 'to', 'find', 'a', 'random', 'walker', 'at', 'position', 'r', 'at', 'time', 't', 'is', 'derived', 'for', 'the', 'case', 'that', 'the', 'the', 'probability', 'to', 'make', 'jumps', 'depends', 'nonlinearly', 'on', 'frt', 'the', 'result', 'is', 'a', 'generalized', 'form', 'of', 'the', 'classical', 'fokkerplanck', 'equation', 'where', 'the', 'effects', 'of', 'drift', 'due', 'to', 'a', 'violation', 'of', 'detailed', 'balance', 'and', 'of', 'external', 'fields', 'are', 'also', 'considered', 'it', 'is', 'shown', 'that', 'in', 'the', 'absence', 'of', 'drift', 'and', 'external', 'fields', 'a', 'scaling', 'solution', 'describing', 'anomalous', 'diffusion', 'is', 'only', 'possible', 'if', 'the', 'nonlinearity', 'in', 'the', 'jump', 'probability', 'is', 'of', 'the', 'power', 'law', 'type', 'sim', 'feta', 'rt', 'in', 'which', 'case', 'the', 'generalized', 'fokkerplanck', 'equation', 'reduces', 'to', 'the', 'wellknown', 'porous', 'media', 'equation', 'montecarlo', 'simulations', 'are', 'shown', 'to', 'confirm', 'the', 'theoretical', 'results']] | [-0.12338413995683133, 0.11524814492346899, -0.08048781882520885, 0.06516051494737997, -0.09041765801263071, -0.14464853789597268, 0.012833215581673768, 0.2884488605834063, -0.2837997492282621, -0.2390419846971429, 0.0637950670113036, -0.2939092321058495, -0.12328313191180988, 0.18187600553726718, -0.012662102520886448, 0.040595951931355824, -0.004043003626828713, 0.06581954938554836, -0.006357315714159349, -0.22463821732033526, 0.304186126758014, 0.057048328233987936, 0.2810725168392603, 0.023821526158210492, 0.13938208696462454, -0.04032852925029733, -0.031211358930675254, 0.041577911394978725, -0.15092945714434702, -0.013563297260853072, 0.15725039159634993, 0.030434160722389577, 0.26794798784859236, -0.40479954116557154, -0.25671875706663533, 0.0879051014067485, 0.11740238545462489, 0.12372305448779146, -0.03446776901781108, -0.2624809779639867, 0.06495563159020798, -0.14201232425365296, -0.19851001853408712, -0.024129961557205645, 0.10168993531636172, 0.08112529636315641, -0.33759611127747885, 0.150793005400403, 0.0635148485457795, -0.03449400958361953, -0.06469045386409326, -0.07567228880455537, -0.035067206417630996, 0.04811852666523097, 0.0720774924604132, 0.020486539241016632, 0.10875435554302268, -0.1483672475968037, -0.05158856809289465, 0.38084402045557997, -0.08059893664528406, -0.26401005288766277, 0.15548319175216038, -0.2114897838703567, -0.09314432014305625, 0.11756080947065305, 0.13099763531523245, 0.11549917538022489, -0.1782183925839021, 0.13634260047523816, -0.008060742687854556, 0.13420084214979602, 0.05003540129250576, -0.02231470012902132, 0.1202892768572295, 0.11986464762594551, 0.05449169000325304, 0.11430395859661663, -0.06889379093040442, -0.164739910705154, -0.3401628165428842, -0.17012349777336744, -0.20243836126680817, 0.09764353382671552, -0.1254922095646297, -0.16395060614553175, 0.3307864178298792, 0.15155301931935677, 0.13907880605679127, 0.07845458188638722, 0.23796508570517144, 0.23235965366925923, 0.0006938510829763066, 0.08910180002661242, 0.2132862584201634, 0.18485322031905996, 0.14061494944842473, -0.2638832203379171, 0.09305109239123281, 0.06687301981841184] |
711.4488 | A quenched limit theorem for the local time of random walks on \Z^2 | Let $X$ and $Y$ be two independent random walks on $\Z^2$ with zero mean and
finite variances, and let $L_t(X,Y)$ be the local time of $X-Y$ at the origin
at time $t$. We show that almost surely with respect to $Y$, $L_t(X,Y)/\log t$
conditioned on $Y$ converges in distribution to an exponential random variable
with the same mean as the distributional limit of $L_t(X,Y)/\log t$ without
conditioning. This question arises naturally from the study of the parabolic
Anderson model with a single moving catalyst, which is closely related to a
pinning model.
| math.PR | let x and y be two independent random walks on z2 with zero mean and finite variances and let l_txy be the local time of xy at the origin at time t we show that almost surely with respect to y l_txylog t conditioned on y converges in distribution to an exponential random variable with the same mean as the distributional limit of l_txylog t without conditioning this question arises naturally from the study of the parabolic anderson model with a single moving catalyst which is closely related to a pinning model | [['let', 'x', 'and', 'y', 'be', 'two', 'independent', 'random', 'walks', 'on', 'z2', 'with', 'zero', 'mean', 'and', 'finite', 'variances', 'and', 'let', 'l_txy', 'be', 'the', 'local', 'time', 'of', 'xy', 'at', 'the', 'origin', 'at', 'time', 't', 'we', 'show', 'that', 'almost', 'surely', 'with', 'respect', 'to', 'y', 'l_txylog', 't', 'conditioned', 'on', 'y', 'converges', 'in', 'distribution', 'to', 'an', 'exponential', 'random', 'variable', 'with', 'the', 'same', 'mean', 'as', 'the', 'distributional', 'limit', 'of', 'l_txylog', 't', 'without', 'conditioning', 'this', 'question', 'arises', 'naturally', 'from', 'the', 'study', 'of', 'the', 'parabolic', 'anderson', 'model', 'with', 'a', 'single', 'moving', 'catalyst', 'which', 'is', 'closely', 'related', 'to', 'a', 'pinning', 'model']] | [-0.07877666185506516, 0.2066903684975437, -0.1046217614071793, -0.010724665752301613, -0.0037571297027170656, -0.19733708429460725, 0.07332457514162848, 0.37542210953154914, -0.3340722700994876, -0.2244416540365718, 0.06715228327989785, -0.31221282998513844, -0.04403496966179874, 0.13022131774471038, -0.08195652612484991, 0.02097112403975593, -0.0034563652239739894, 0.11184548820472426, -0.07659213820006698, -0.2846859196951199, 0.27182363046126234, -0.008261327202328377, 0.2503142078148408, -0.028969977343351477, 0.14358736413220566, 0.042784053521851696, 0.003552957976029979, 0.03682179800234735, -0.11215665610806254, 0.03703358791147669, 0.1880807351320982, -0.005142091004543343, 0.294448280096468, -0.34053061851559, -0.2015317399572167, 0.18525762724586659, 0.15203671141838035, 0.013711297164101981, 0.02734940358851519, -0.27894788751792576, 0.1338547094297408, -0.06531798307680421, -0.16366251016863517, 0.010920664843999678, 0.04132047846085495, 0.07595021620444539, -0.31305644514246117, 0.07931519932010107, 0.12077848095278669, 0.049253713355089226, -0.009298246369386714, -0.10683244229811761, -0.07042600089270208, 0.09394437219533655, 0.07210449373039106, 0.1316415915136329, 0.0870318453034593, -0.05582470414487438, -0.12453130948253804, 0.35778430482993523, -0.15697454848430223, -0.21621583007120837, 0.16884186904256543, -0.2244529690903922, -0.1056908020697948, 0.09452645492274314, 0.14472341038700606, 0.12676523179850643, -0.11819823816832568, 0.15950248674812934, -0.0716392659711548, 0.11794037309915034, 0.02904205134190205, -0.004738765815272927, 0.1908455305823332, 0.13428038145518964, 0.1305740674957633, 0.11489532343370633, -0.06331475095616447, -0.0808999435355266, -0.3383665762712351, -0.12458182519767433, -0.21598746019622517, 0.17945748280940785, -0.14716098742614525, -0.21854731861708893, 0.3265105321692924, 0.14652887992560865, 0.29662231649789544, 0.11820432726009232, 0.18516299422675123, 0.14614102153185135, -0.02725245840847492, 0.09199900096532979, 0.047041288840894896, 0.16526682839418452, 0.060218896429675324, -0.20716385122957742, 0.11484973224707776, 0.09421316854552263] |
711.4489 | On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian
BRST Approach | A recent progress in a gauge-invariant Lagrangian description of massive and
massless half-integer higher-spin fields in AdS and Minkowski spaces is
presented. The procedure is based on a BFV-BRST operator, encoding the initial
conditions realized by constraints in a Fock space and extracting the
higher-spin fields from unitary irreducible representations of the AdS
(Poincare) group. The construction is applicable to higher-spin tensor fields
with a multi-row Young tableaux.
| hep-th | a recent progress in a gaugeinvariant lagrangian description of massive and massless halfinteger higherspin fields in ads and minkowski spaces is presented the procedure is based on a bfvbrst operator encoding the initial conditions realized by constraints in a fock space and extracting the higherspin fields from unitary irreducible representations of the ads poincare group the construction is applicable to higherspin tensor fields with a multirow young tableaux | [['a', 'recent', 'progress', 'in', 'a', 'gaugeinvariant', 'lagrangian', 'description', 'of', 'massive', 'and', 'massless', 'halfinteger', 'higherspin', 'fields', 'in', 'ads', 'and', 'minkowski', 'spaces', 'is', 'presented', 'the', 'procedure', 'is', 'based', 'on', 'a', 'bfvbrst', 'operator', 'encoding', 'the', 'initial', 'conditions', 'realized', 'by', 'constraints', 'in', 'a', 'fock', 'space', 'and', 'extracting', 'the', 'higherspin', 'fields', 'from', 'unitary', 'irreducible', 'representations', 'of', 'the', 'ads', 'poincare', 'group', 'the', 'construction', 'is', 'applicable', 'to', 'higherspin', 'tensor', 'fields', 'with', 'a', 'multirow', 'young', 'tableaux']] | [-0.163123808828566, 0.23941423652200577, -0.12065165018772378, 0.09257261935614652, -0.15316722681403488, -0.08716033176546369, -0.05902244019500144, 0.3172651692567503, -0.1469377917579978, -0.2223445224466131, 0.09484433356213712, -0.20514855948824653, -0.16279090767014115, 0.13752194861402078, -0.06402834091225967, 0.021914132706382695, 0.04877547692397938, 0.08575877042954637, -0.14564399989595747, -0.28865271420491967, 0.38744966943255243, 0.013894481146160294, 0.2902516217162723, -0.05208108930245919, 0.17551192614893593, 0.06685333757880418, -0.06954609453404213, -0.03559693589897292, -0.07776762154775069, 0.17433780802906873, 0.27455303114017143, 0.10043963459868203, 0.14502876454977975, -0.4040628860375899, -0.1801624864246525, 0.09213409342748277, 0.14746945538996337, 0.13372731597765403, -0.04734684540102642, -0.36032881774008274, 0.0013696726219838157, -0.15840098476859138, -0.1363670514033669, -0.10761820961830809, 0.039153266749481726, -0.1180381520295187, -0.29284010191365856, 0.06331641450250412, 0.04992677567026797, 0.07435541246634196, -0.13258986727005856, -0.09419021632193643, -0.05350567410042619, 0.052170175511170834, 0.026468442907036448, 0.10271430987289504, 0.12734199537183433, -0.21368508110411794, -0.1693950050702209, 0.3574109771905248, -0.04943472971482312, -0.3055264358716907, 0.1656842236817979, -0.16154409314314014, -0.1451281915377716, 0.09927080892135992, 0.10787337730803034, 0.18249314248233156, -0.1452269730678595, 0.2681046723506263, -0.07498656074269949, 0.0416802145071629, 0.08847217634320259, 0.06028354617164416, 0.2514345200136578, 0.07003329060149982, 0.03179928807623904, 0.1517262617194587, 0.0799474455176524, -0.09363862250093542, -0.39622512854197445, -0.18585392949556562, -0.16002372093498707, 0.05921356074566789, -0.1258090721875145, -0.1812661905594937, 0.36967006344211234, 0.08415168325711206, 0.135663866504568, 0.06466165174017935, 0.2015923416132436, 0.08000245412318584, 0.13183785318260027, 0.06375149961369221, 0.1750104441855322, 0.24114175224745207, 0.06530645763611093, -0.1879586227758623, -0.13993885081692817, 0.22300179525935912] |
711.449 | Quasi-binary amorphous phase in a 3D system of particles with
repulsive-shoulder interactions | We report a computer-simulation study of the equilibrium phase diagram of a
three-dimensional system of particles with a repulsive step potential. Using
free-energy calculations, we have determined the equilibrium phase diagram of
this system. At low temperatures, we observe a number of distinct crystal
phases. However, under certain conditions the system undergoes a glass
transition in a regime where the liquid appears thermodynamically stable. We
argue that the appearance of this amorphous low-temperature phase can be
understood by viewing this one-component system as a pseudo-binary mixture.
| cond-mat.soft cond-mat.stat-mech | we report a computersimulation study of the equilibrium phase diagram of a threedimensional system of particles with a repulsive step potential using freeenergy calculations we have determined the equilibrium phase diagram of this system at low temperatures we observe a number of distinct crystal phases however under certain conditions the system undergoes a glass transition in a regime where the liquid appears thermodynamically stable we argue that the appearance of this amorphous lowtemperature phase can be understood by viewing this onecomponent system as a pseudobinary mixture | [['we', 'report', 'a', 'computersimulation', 'study', 'of', 'the', 'equilibrium', 'phase', 'diagram', 'of', 'a', 'threedimensional', 'system', 'of', 'particles', 'with', 'a', 'repulsive', 'step', 'potential', 'using', 'freeenergy', 'calculations', 'we', 'have', 'determined', 'the', 'equilibrium', 'phase', 'diagram', 'of', 'this', 'system', 'at', 'low', 'temperatures', 'we', 'observe', 'a', 'number', 'of', 'distinct', 'crystal', 'phases', 'however', 'under', 'certain', 'conditions', 'the', 'system', 'undergoes', 'a', 'glass', 'transition', 'in', 'a', 'regime', 'where', 'the', 'liquid', 'appears', 'thermodynamically', 'stable', 'we', 'argue', 'that', 'the', 'appearance', 'of', 'this', 'amorphous', 'lowtemperature', 'phase', 'can', 'be', 'understood', 'by', 'viewing', 'this', 'onecomponent', 'system', 'as', 'a', 'pseudobinary', 'mixture']] | [-0.19222982637151037, 0.2427818114587734, -0.15884002285498502, -0.027653953963403352, 0.05467048501270975, -0.14540038732703514, 0.1132048569256873, 0.36794755616506863, -0.236810757226289, -0.2638085857466903, 0.0745575810649952, -0.23539694221040539, -0.17040671886562175, 0.0728535721813556, 0.015197818037555662, 0.010842350159966669, 0.011049832531445942, -0.010436263945912076, -0.15029688880962946, -0.16019518911665262, 0.31550693565026616, -0.018667214506760586, 0.26382160071976657, 0.03329208318542061, 0.08195371127167586, -0.0429615165953163, 0.14368802209406398, 0.0865186520440634, -0.20998696435750855, -0.032980701092868873, 0.24586159331713217, -0.027444613568023184, 0.18543472020280397, -0.39992924229252735, -0.24306904853776443, 0.10410014964737604, 0.13277620979216556, 0.14386185162245882, -0.08691814266751673, -0.2419963193161218, 0.010122761011210292, -0.18977769302355862, -0.18003598511284, -0.10113301787063138, -0.032985018728690786, -0.005083473668999559, -0.24142258690107007, 0.10027103203614134, 0.05097674862156774, 0.095223796591051, -0.09429799128042231, -0.08093807261794546, -0.04102007835172117, 0.0751595212644789, -0.014785034776946832, 0.02819442441199668, 0.17325462481050297, -0.14163195679023818, -0.046960411414634, 0.4184287626101354, -0.06045129311509257, -0.08775390004624103, 0.21996772674258885, -0.17200197774099948, -0.12627555602121837, 0.21774206180558647, 0.10612101050372626, 0.12876203189723107, -0.14595089562583802, 0.037308028284907015, -0.035086045745586936, 0.19711350932240831, -0.0011095098506789221, -0.004390089399029695, 0.27952047997170537, 0.26496655538374947, -0.003118322109045504, 0.24724426097642674, -0.09588028495754981, -0.13086016154523158, -0.26560697241058184, -0.17887005518017293, -0.200648897565728, 0.019162451361067766, -0.07729541754003527, -0.21983828107544848, 0.36989755862457463, 0.114973409064818, 0.19602162659514782, -0.013783638592982707, 0.23863307686067772, 0.11191655148421739, -0.01693012081438589, -0.00020737604368044885, 0.2631374188200679, 0.09371346605909166, 0.1292608979829522, -0.24821594123576962, 0.07338607436056833, 0.07115825687989939] |
711.4491 | Lower limits for distributions of randomly stopped sums | We study lower limits for the ratio $\frac{\bar{F^{*\tau}}(x)}{\bar F(x)}$ of
tail distributions where $ F^{*\tau}$ is a distribution of a sum of a random
size $\tau$ of i.i.d. random variables having a common distribution $F$, and a
random variable $\tau$ does not depend on summands.
| math.PR | we study lower limits for the ratio fracbarftauxbar fx of tail distributions where ftau is a distribution of a sum of a random size tau of iid random variables having a common distribution f and a random variable tau does not depend on summands | [['we', 'study', 'lower', 'limits', 'for', 'the', 'ratio', 'fracbarftauxbar', 'fx', 'of', 'tail', 'distributions', 'where', 'ftau', 'is', 'a', 'distribution', 'of', 'a', 'sum', 'of', 'a', 'random', 'size', 'tau', 'of', 'iid', 'random', 'variables', 'having', 'a', 'common', 'distribution', 'f', 'and', 'a', 'random', 'variable', 'tau', 'does', 'not', 'depend', 'on', 'summands']] | [-0.16881062129382476, 0.1824421873749342, -0.13778175287988298, 0.04283189224783158, -0.05243392885381053, -0.13476478342010184, 0.12739801424187283, 0.3608512130760869, -0.25761282058476015, -0.18857719350692836, 0.09192805898614055, -0.2638028812443101, -0.02994768235150205, 0.11360974447411853, -0.05347486500909855, 0.042921853056827254, 0.0158538426987307, 0.07513008175721002, -0.09150715348808917, -0.23654031378845142, 0.2675999984480874, -0.02088569425219713, 0.238594580528348, -0.036889355564706544, 0.10973119969631351, 0.0676416689205135, -0.05861430034193015, -0.021813210468132827, -0.12980186967395765, 0.03740130609637776, 0.09410965506550531, 0.112775715143788, 0.2840084354609771, -0.28943772242014665, -0.16232732954153486, 0.2524719484973439, 0.1629443933407581, -0.08620960880504099, 0.05009116354495893, -0.17856761183438086, 0.09455926890679917, -0.15603065867583418, -0.09394716185539267, 0.04411201057739036, 0.119976349391563, 0.15975012785625145, -0.4474161734349679, 0.0890290386011001, 0.10240479885752118, 0.03732915242137604, 0.020113085272050527, -0.2500257143794104, 0.023227502137076025, 0.10166412235649172, 0.060200377816854174, 0.05442447685853167, 0.13013013112250454, -0.14145585178765793, -0.061682081023274465, 0.3609446151788498, -0.12615256735968383, -0.282382606940214, 0.13491228152456325, -0.23507333254484936, -0.1837914477773877, 0.13167415628599566, 0.21656182776530122, 0.1714439893054754, -0.12565620408155198, 0.14772253154186793, -0.11894415462996032, 0.1735552147377369, 0.031063700517163027, 0.060320793022943096, 0.1679934443591899, 0.10501824434153563, 0.09063057443614356, 0.13220387730790778, -0.11715321287751025, -0.07426038779708188, -0.35941669743421467, -0.1376988614562812, -0.30177136952176603, 0.1714413902714854, -0.19335624631893616, -0.25417683494472226, 0.36811009309319564, 0.046844545302392786, 0.29783814064725195, 0.17787955486930387, 0.22664932666216478, 0.19134640858270402, -0.00828792245755362, 0.06351422372295759, 0.049748864550100164, 0.18972677204671295, 0.00301683833822608, -0.09589040631341726, 0.20337929093647142, 0.020556628844852366] |
711.4492 | Horizontal Dehn Surgery and genericity in the curve complex | We introduce a general notion of "genericity" for countable subsets of a
space with Borel measure, and apply it to the set of vertices in the curve
complex of a surface S, interpreted as subset of the space of projective
measured laminations in S, equipped with its natural Lebesgue measure.
We prove that, for any 3-manifold M, the set of curves c on a Heegaard
surface S in M, such that every non-trivial Dehn twist at c yields a Heegaard
splitting of high distance, is generic in the set of all essential simple
closed curves on S.
Our definition of "genericity" is different and more intrinsic than
alternative such existing notions, given e.g. via random walks or via limits of
quotients of finite sets.
| math.GT | we introduce a general notion of genericity for countable subsets of a space with borel measure and apply it to the set of vertices in the curve complex of a surface s interpreted as subset of the space of projective measured laminations in s equipped with its natural lebesgue measure we prove that for any 3manifold m the set of curves c on a heegaard surface s in m such that every nontrivial dehn twist at c yields a heegaard splitting of high distance is generic in the set of all essential simple closed curves on s our definition of genericity is different and more intrinsic than alternative such existing notions given eg via random walks or via limits of quotients of finite sets | [['we', 'introduce', 'a', 'general', 'notion', 'of', 'genericity', 'for', 'countable', 'subsets', 'of', 'a', 'space', 'with', 'borel', 'measure', 'and', 'apply', 'it', 'to', 'the', 'set', 'of', 'vertices', 'in', 'the', 'curve', 'complex', 'of', 'a', 'surface', 's', 'interpreted', 'as', 'subset', 'of', 'the', 'space', 'of', 'projective', 'measured', 'laminations', 'in', 's', 'equipped', 'with', 'its', 'natural', 'lebesgue', 'measure', 'we', 'prove', 'that', 'for', 'any', '3manifold', 'm', 'the', 'set', 'of', 'curves', 'c', 'on', 'a', 'heegaard', 'surface', 's', 'in', 'm', 'such', 'that', 'every', 'nontrivial', 'dehn', 'twist', 'at', 'c', 'yields', 'a', 'heegaard', 'splitting', 'of', 'high', 'distance', 'is', 'generic', 'in', 'the', 'set', 'of', 'all', 'essential', 'simple', 'closed', 'curves', 'on', 's', 'our', 'definition', 'of', 'genericity', 'is', 'different', 'and', 'more', 'intrinsic', 'than', 'alternative', 'such', 'existing', 'notions', 'given', 'eg', 'via', 'random', 'walks', 'or', 'via', 'limits', 'of', 'quotients', 'of', 'finite', 'sets']] | [-0.1831535032880868, 0.11295459058225876, -0.08789847299621831, 0.07255492898853376, -0.06871650311269707, -0.14741333916542992, 0.06928173336200416, 0.35453716137506547, -0.29078394471998176, -0.2384462401706485, 0.05940448863792323, -0.27337345182369915, -0.08789155142374276, 0.24302032870670495, -0.13865134310887492, 0.029672551569209674, 0.07537832372303631, 0.08923723761953654, -0.09902513883031544, -0.24037166445181826, 0.418741870996347, -0.08163605218813304, 0.20256565936518112, 0.06279173888446342, 0.15577207872599003, 0.010510083930116267, -0.016559984416685877, 0.06864914663216745, -0.17520161129728112, 0.14189506843010144, 0.23523832032937678, 0.13729850699066096, 0.19086695962675637, -0.346895122542675, -0.19106575074293952, 0.19717990229987808, 0.06780784321240536, -0.023998745238303296, 0.013341737690831407, -0.27016993400250233, 0.13220234688431506, -0.12011175462976098, -0.14131669209135936, -0.0664103988693246, 0.10411953516004066, 0.01704475608459043, -0.21856685805382328, -0.05238308644883575, 0.09403928763593637, 0.1443077289506853, 0.0014180799283372658, -0.11860433613577287, -0.08426288936114419, 0.07788858705222787, -0.011876200472245054, 0.11534929044184185, 0.08201704814517495, -0.030130151948410896, -0.11581585385588809, 0.39835644976025625, -0.12701831415406853, -0.25879118606192814, 0.1902015638132129, -0.1820922261451356, -0.13920336155100696, 0.13183409617763134, 0.11302801703042802, 0.14497929269770882, -0.05098859308242437, 0.1694448196860556, -0.1019921496345271, 0.07389613972402238, 0.0940944575103781, 0.04131814196655121, 0.16742369803720183, 0.14207041444493487, 0.15714309837353685, 0.12829242899146442, -0.027161382292697746, 0.010328798393358386, -0.37412947027816346, -0.20163383602254814, -0.16467571765608754, 0.12598658078012145, -0.15234880646547086, -0.2285524764053163, 0.3771102244950711, 0.03462019359933272, 0.2281048676316371, 0.1198152641976072, 0.2347676860348832, 0.04201358253445623, 0.04588946053803328, 0.07804875879458362, 0.08414490468379471, 0.14389342533033941, -0.06661112461569568, -0.13931651305287115, 0.03685083736350099, 0.15456501972831546] |
711.4493 | Consistency and application of moving block bootstrap for non-stationary
time series with periodic and almost periodic structure | The aim of this paper it to establish sufficient conditions for consistency
of moving block bootstrap for non-stationary time series with periodic and
almost periodic structure. The parameter of the study is the mean value of the
expectation function. Consistency holds in quite general situations: if all
joint distributions of the series are periodic, then it suffices to assume the
central limit theorem and strong mixing property, together with summability of
the autocovariance function. In the case where the mean function is almost
periodic, we additionally need uniform boundedness of the fourth moments of the
root statistics. It is shown that these theoretical results can be applied in
statistical inference concerning the Fourier coefficients of periodically (PC)
and almost periodically (APC) correlated time series. A simulation example
shows how to use a graphical diagnostic test for significant frequencies and
stationarity within these classes of time series.
| math.ST stat.TH | the aim of this paper it to establish sufficient conditions for consistency of moving block bootstrap for nonstationary time series with periodic and almost periodic structure the parameter of the study is the mean value of the expectation function consistency holds in quite general situations if all joint distributions of the series are periodic then it suffices to assume the central limit theorem and strong mixing property together with summability of the autocovariance function in the case where the mean function is almost periodic we additionally need uniform boundedness of the fourth moments of the root statistics it is shown that these theoretical results can be applied in statistical inference concerning the fourier coefficients of periodically pc and almost periodically apc correlated time series a simulation example shows how to use a graphical diagnostic test for significant frequencies and stationarity within these classes of time series | [['the', 'aim', 'of', 'this', 'paper', 'it', 'to', 'establish', 'sufficient', 'conditions', 'for', 'consistency', 'of', 'moving', 'block', 'bootstrap', 'for', 'nonstationary', 'time', 'series', 'with', 'periodic', 'and', 'almost', 'periodic', 'structure', 'the', 'parameter', 'of', 'the', 'study', 'is', 'the', 'mean', 'value', 'of', 'the', 'expectation', 'function', 'consistency', 'holds', 'in', 'quite', 'general', 'situations', 'if', 'all', 'joint', 'distributions', 'of', 'the', 'series', 'are', 'periodic', 'then', 'it', 'suffices', 'to', 'assume', 'the', 'central', 'limit', 'theorem', 'and', 'strong', 'mixing', 'property', 'together', 'with', 'summability', 'of', 'the', 'autocovariance', 'function', 'in', 'the', 'case', 'where', 'the', 'mean', 'function', 'is', 'almost', 'periodic', 'we', 'additionally', 'need', 'uniform', 'boundedness', 'of', 'the', 'fourth', 'moments', 'of', 'the', 'root', 'statistics', 'it', 'is', 'shown', 'that', 'these', 'theoretical', 'results', 'can', 'be', 'applied', 'in', 'statistical', 'inference', 'concerning', 'the', 'fourier', 'coefficients', 'of', 'periodically', 'pc', 'and', 'almost', 'periodically', 'apc', 'correlated', 'time', 'series', 'a', 'simulation', 'example', 'shows', 'how', 'to', 'use', 'a', 'graphical', 'diagnostic', 'test', 'for', 'significant', 'frequencies', 'and', 'stationarity', 'within', 'these', 'classes', 'of', 'time', 'series']] | [-0.11528851313768465, 0.08103062398412762, -0.10775766065918317, 0.08282335078477707, -0.04342570146928503, -0.1015264275483787, 0.03373679935223302, 0.38252053468500913, -0.29465223644773975, -0.25371489967442795, 0.1366789272487202, -0.23852610075208422, -0.12384321515716307, 0.19694910715700906, -0.04821974559119354, 0.11161076381789801, 0.06199233881389237, 0.059061494072235814, -0.062136375315388515, -0.2661263869265222, 0.2908560764825941, 0.03753433391222195, 0.2963022074458023, 0.004739964880010955, 0.07009003004250564, 0.030831067178602498, -0.03869698077842134, 0.0020769000865123555, -0.13278828493554873, 0.06802091453653403, 0.2047259098984148, 0.08422711954694496, 0.29029810026587843, -0.39442549521133, -0.16675734552490998, 0.13929997897413496, 0.12972115075904622, 0.034149662508590986, -0.017734916011598725, -0.23489058203835755, 0.10619996320647634, -0.12490042014851248, -0.17261147871613503, -0.0857610475616402, 0.03801774654269525, 0.08578988355233602, -0.3415703281416551, 0.13810933945534673, 0.09620610803161582, 0.06712978734468965, -0.05523878357162674, -0.06065635831487582, 0.024474370471929033, 0.13881206730610296, 0.09574123054634372, -0.012685841075798548, 0.05871637354362501, -0.07051735665778348, -0.05563080227337395, 0.3418689023843673, -0.09217942518832749, -0.21690582079583243, 0.17146317858475402, -0.2074362557598275, -0.17179779125033073, 0.08710512730344007, 0.14850735726243217, 0.10762721275247328, -0.15667705898123716, 0.09174551535876187, -0.06262773715520967, 0.16129117941943139, 0.0750970509435905, 0.006021302619594953, 0.1694030216958833, 0.11247898052025536, 0.09858489985743614, 0.15054005449749402, -0.07223819518200288, -0.10577171198602715, -0.3495319583198081, -0.13908352833464488, -0.191603047539614, 0.033357028678786774, -0.1331451195288188, -0.21534271269126903, 0.4141402005964303, 0.1645784313513017, 0.15908714941039376, 0.10886645655160489, 0.2330279166695394, 0.1649303601816303, 0.02501913772063483, 0.06420878046479281, 0.18583760572890815, 0.1684109421035479, 0.08204499990775008, -0.16509304004593764, 0.08722714281302864, 0.052525025489421125] |
711.4494 | L'alg\`ebre des invariants d'un groupe de Coxeter agissant sur un
mutiple de sa repr\'esentation standard | Let G be a Coxeter group of type A_n, B_n, D_n or I_2(N), or a complex
reflection group of type G(de,e,n). Let V be its standard representation and
let k be an integer greater than 2. Then G acts on S(V)^{\otimes k}. We show
that the algebra of invariants (S(V)^{\otimes k})^G is a free (S(V)^G)^{\otimes
k}-module of rank |G|^{k-1}, and that S(V)^{\otimes k} is not a free
(S(V)^{\otimes k})^G-module.
| math.RA | let g be a coxeter group of type a_n b_n d_n or i_2n or a complex reflection group of type gdeen let v be its standard representation and let k be an integer greater than 2 then g acts on svotimes k we show that the algebra of invariants svotimes kg is a free svgotimes kmodule of rank gk1 and that svotimes k is not a free svotimes kgmodule | [['let', 'g', 'be', 'a', 'coxeter', 'group', 'of', 'type', 'a_n', 'b_n', 'd_n', 'or', 'i_2n', 'or', 'a', 'complex', 'reflection', 'group', 'of', 'type', 'gdeen', 'let', 'v', 'be', 'its', 'standard', 'representation', 'and', 'let', 'k', 'be', 'an', 'integer', 'greater', 'than', '2', 'then', 'g', 'acts', 'on', 'svotimes', 'k', 'we', 'show', 'that', 'the', 'algebra', 'of', 'invariants', 'svotimes', 'kg', 'is', 'a', 'free', 'svgotimes', 'kmodule', 'of', 'rank', 'gk1', 'and', 'that', 'svotimes', 'k', 'is', 'not', 'a', 'free', 'svotimes', 'kgmodule']] | [-0.2056565845190589, 0.18479476851926346, -0.09719094474202217, -0.05696999339678728, -0.154129427239132, -0.22907515372663959, -0.010316930273408765, 0.3502050186715909, -0.3448614580417747, -0.2103493484849138, 0.08230344988683712, -0.2783206587295924, -0.09511378675754835, 0.17090697170221317, -0.10187573749016025, -0.20661225597419317, 0.030335943680256605, 0.2429863044769684, -0.0951296846215516, -0.25555006409091735, 0.309167850818207, -0.09477501601647975, 0.12685197548343063, -0.011633092148312882, 0.07679672617076048, 0.015959741638055934, 0.055663564631632016, 0.0194206436324531, -0.16082765792479994, 0.07580708974360753, 0.2866671624273729, 0.09497828027511489, 0.22042415056155243, -0.3254509045770253, -0.1320731120267466, 0.283817337603489, 0.1766507873831164, -0.12347489196473538, 0.008372763468911732, -0.25193150550015825, 0.22381542351291472, -0.204587554864919, -0.13084389194290139, -0.0061600413590447226, 0.1445686431452215, -0.04946111825141889, -0.3360000308950557, -0.008978515668813861, 0.09265432623562528, 0.1587035647739392, 0.006909430073921694, -0.1974126210352823, -0.09295264028235158, 0.03685634125218685, -0.11510440779488477, 0.11261479732052271, 0.08340810757450093, -0.048936868861401035, -0.13203050141264475, 0.43584116120169414, -0.07488328337764069, -0.20535557269494034, 0.09141750291768294, -0.20600420233807457, -0.09067892778053213, 0.1256520348712246, 0.08376217584834615, 0.17013133188697455, 0.02492256418092927, 0.23144875121921468, -0.1549951056741289, 0.15512739700167927, 0.031988080757767406, -0.1027064737794337, 0.09427162851971477, 0.05875994253264212, 0.09807687116536631, 0.06070976102648219, 0.05208556893552695, 0.18556485052651434, -0.35712730317418256, -0.2120832492833707, -0.16193950933807377, 0.2497417081684767, -0.14855933247730066, -0.12642267525696488, 0.33511125894068783, 0.023131195010978784, 0.12833893235161234, 0.09547480341714265, 0.14668063713765855, 0.09742219776693564, 0.09483011609721761, 0.08202151744452708, -0.05273403684650339, 0.2678255309948503, -0.14828600719876922, -0.17651108515261213, -0.025707611553509955, 0.21519511679548825] |
711.4495 | Numerical study of a model for non-equilibrium wetting | We revisit the scaling properties of a model for non-equilibrium wetting
[Phys. Rev. Lett. 79, 2710 (1997)], correcting previous estimates of the
critical exponents and providing a complete scaling scheme. Moreover, we
investigate a special point in the phase diagram, where the model exhibits a
roughening transition related to directed percolation. We argue that in the
vicinity of this point evaporation from the middle of plateaus can be
interpreted as an external field in the language of directed percolation. This
analogy allows us to compute the crossover exponent and to predict the form of
the phase transition line close to its terminal point.
| cond-mat.stat-mech | we revisit the scaling properties of a model for nonequilibrium wetting phys rev lett 79 2710 1997 correcting previous estimates of the critical exponents and providing a complete scaling scheme moreover we investigate a special point in the phase diagram where the model exhibits a roughening transition related to directed percolation we argue that in the vicinity of this point evaporation from the middle of plateaus can be interpreted as an external field in the language of directed percolation this analogy allows us to compute the crossover exponent and to predict the form of the phase transition line close to its terminal point | [['we', 'revisit', 'the', 'scaling', 'properties', 'of', 'a', 'model', 'for', 'nonequilibrium', 'wetting', 'phys', 'rev', 'lett', '79', '2710', '1997', 'correcting', 'previous', 'estimates', 'of', 'the', 'critical', 'exponents', 'and', 'providing', 'a', 'complete', 'scaling', 'scheme', 'moreover', 'we', 'investigate', 'a', 'special', 'point', 'in', 'the', 'phase', 'diagram', 'where', 'the', 'model', 'exhibits', 'a', 'roughening', 'transition', 'related', 'to', 'directed', 'percolation', 'we', 'argue', 'that', 'in', 'the', 'vicinity', 'of', 'this', 'point', 'evaporation', 'from', 'the', 'middle', 'of', 'plateaus', 'can', 'be', 'interpreted', 'as', 'an', 'external', 'field', 'in', 'the', 'language', 'of', 'directed', 'percolation', 'this', 'analogy', 'allows', 'us', 'to', 'compute', 'the', 'crossover', 'exponent', 'and', 'to', 'predict', 'the', 'form', 'of', 'the', 'phase', 'transition', 'line', 'close', 'to', 'its', 'terminal', 'point']] | [-0.11602019842768323, 0.1150881101828559, -0.1066838363976697, 0.01216582988515424, -0.04163275047225733, -0.1323502321402063, 0.15491186901282755, 0.32803064516126135, -0.23143239439130553, -0.26931781506220115, 0.021642723352449395, -0.2781612418177459, -0.18767403857330384, 0.14645961447826866, -0.06118222669182906, 0.028186825336323308, -0.04363016975654777, 0.01999657275607285, -0.09826518402398718, -0.1651240354494273, 0.2658864743012971, 0.0494775314119111, 0.2811514496988644, 0.08615615112182584, 0.026521417176694546, -0.003013179212519266, 0.04115284842809717, 0.04767261087008327, -0.24500476021255485, 0.01501702124623636, 0.20487425047497365, 0.01731058599843273, 0.20407152696720604, -0.3686513420899661, -0.23866582922275784, 0.12779795379802875, 0.12033221531813078, 0.1419154483128737, 0.013868060948562275, -0.2942118274536237, 0.046694467461315316, -0.1647099517557083, -0.17528114766696268, -0.028656033044048016, 0.051695124057429, 0.017702823640435066, -0.26409658821168563, 0.11030620189883195, 0.08151902327115096, 0.063883940138836, -0.027232441272997992, -0.024151852328411657, -0.026504997399102136, 0.12742004076073182, -0.0077735328101959916, 0.09287841201226399, 0.1271249376626197, -0.1396235740535612, -0.13439651887900042, 0.3653699621124175, -0.028374719831333, -0.07842090357438598, 0.19990147122643093, -0.1764677507572274, -0.1418526178741267, 0.1549987759705615, 0.17197054452308028, 0.10256868503192096, -0.14087009700286446, 0.07897013973205089, -0.03416779093462431, 0.13129307346015, 0.050059039292640044, -0.03931796381213856, 0.2059198537642516, 0.16005232724930765, 0.005979106924270542, 0.21273962257190346, -0.11296783096509651, -0.18040271338925346, -0.3186053164230967, -0.1860579327833884, -0.17445991021915547, 0.08410540656005801, -0.095553476611792, -0.20634295348783285, 0.3898472624201284, 0.21392387826474907, 0.2863439442815928, 0.04690361435715001, 0.16698945220037098, 0.16977031000785855, -0.007298055268231852, 0.10876985866287091, 0.25310713326721224, 0.15893632952503642, 0.113311581064956, -0.21676746701360544, 0.053245909570815785, 0.11460240404980565] |
711.4496 | New features of the gluon and ghost propagator in the infrared region
from the Gribov-Zwanziger approach | So far, the infrared behavior of the gluon and ghost propagator based on the
Gribov-Zwanziger approach predicted a positivity violating gluon propagator
vanishing at zero momentum, and an infrared enhanced ghost propagator. However,
recent data based on huge lattices have revealed a positivity violating gluon
propagator which turns out to attain a finite nonvanishing value very close to
zero momentum. At the same time the ghost propagator does not seem to be
infrared enhanced anymore. We point out that these new features can be
accounted for by yet unexploited dynamical effects within the Gribov-Zwanziger
approach, leading to an infrared behavior in qualitatively good agreement with
the new data.
| hep-th hep-lat hep-ph | so far the infrared behavior of the gluon and ghost propagator based on the gribovzwanziger approach predicted a positivity violating gluon propagator vanishing at zero momentum and an infrared enhanced ghost propagator however recent data based on huge lattices have revealed a positivity violating gluon propagator which turns out to attain a finite nonvanishing value very close to zero momentum at the same time the ghost propagator does not seem to be infrared enhanced anymore we point out that these new features can be accounted for by yet unexploited dynamical effects within the gribovzwanziger approach leading to an infrared behavior in qualitatively good agreement with the new data | [['so', 'far', 'the', 'infrared', 'behavior', 'of', 'the', 'gluon', 'and', 'ghost', 'propagator', 'based', 'on', 'the', 'gribovzwanziger', 'approach', 'predicted', 'a', 'positivity', 'violating', 'gluon', 'propagator', 'vanishing', 'at', 'zero', 'momentum', 'and', 'an', 'infrared', 'enhanced', 'ghost', 'propagator', 'however', 'recent', 'data', 'based', 'on', 'huge', 'lattices', 'have', 'revealed', 'a', 'positivity', 'violating', 'gluon', 'propagator', 'which', 'turns', 'out', 'to', 'attain', 'a', 'finite', 'nonvanishing', 'value', 'very', 'close', 'to', 'zero', 'momentum', 'at', 'the', 'same', 'time', 'the', 'ghost', 'propagator', 'does', 'not', 'seem', 'to', 'be', 'infrared', 'enhanced', 'anymore', 'we', 'point', 'out', 'that', 'these', 'new', 'features', 'can', 'be', 'accounted', 'for', 'by', 'yet', 'unexploited', 'dynamical', 'effects', 'within', 'the', 'gribovzwanziger', 'approach', 'leading', 'to', 'an', 'infrared', 'behavior', 'in', 'qualitatively', 'good', 'agreement', 'with', 'the', 'new', 'data']] | [-0.07918984867649635, 0.1892410921026129, -0.2317048313130659, 0.1317313635394115, -0.1378067537314362, -0.12591967579188618, 0.08146458215735576, 0.34447396610415093, -0.18509047033472192, -0.2296334853206106, 0.053493601376734055, -0.2468863593034998, -0.1091627918994399, 0.11057146968044064, -0.04424608073895797, 0.06699097263454287, 0.05441465731968896, 0.01597352701032327, -0.07134559818034715, -0.25629252489414756, 0.32794455952804397, 0.09614635584875941, 0.289870186139726, 0.16095265771124373, 0.10507882151243932, 0.00833611355887519, -0.04881736656426693, 0.034905038230742015, -0.09650085085424373, -0.020737793607016403, 0.22385890412584153, 0.003625363068379186, 0.21704993881198956, -0.3774242404917324, -0.20716030629248255, 0.09876277392592143, 0.20956000376975648, 0.12041913210392792, -0.03165333633768131, -0.2633212864295476, 0.0658528184975256, -0.1617093101010175, -0.21896280047776936, -0.15889570028176186, -0.05533996353753739, -0.10547581104738465, -0.29742654115047856, 0.07800136526391187, -0.04913660358875792, 0.0411871791023899, -0.03499902087194776, -0.1542502609943902, -0.0700647422000421, 0.08524976568555252, 0.09545848115468053, 0.08642644796917145, 0.10659538611185713, -0.21776970342250057, -0.10355391753492532, 0.3465863262579121, -0.07795960440071886, -0.1700344547646603, 0.1737621607608162, -0.19614395523806, -0.13086497161377877, 0.20960830985697815, 0.05590186666921471, 0.11340583456169245, -0.20777636837576413, 0.11740126272693656, -0.03336265936054082, 0.1553465114161049, 0.11404054349124501, 0.13233764547604315, 0.25742770288208566, 0.07561341278617167, 0.025574587203596753, 0.08753536697865154, -0.021764556148641364, -0.13300191692111116, -0.3579191534469525, -0.04647543913408838, -0.19070022860197006, 0.07995965763620916, -0.10098619850679016, -0.16933829746105605, 0.3113115605180307, 0.1602067448483366, 0.19580102272340338, 0.025479436590103433, 0.3042246056418797, 0.17175858488513362, 0.1816885703312302, 0.07664006405415151, 0.28869500095714573, 0.08410475758568349, 0.15513054100813828, -0.30888437615552294, -0.04796141543300581, 0.08775066383424457] |
711.4497 | On poles of twisted tensor L-functions | It is shown that the only possible pole of the twisted tensor L-functions in
Re(s)\geq 1 is located at s=1 for all quadratic extensions of global fields.
| math.RT | it is shown that the only possible pole of the twisted tensor lfunctions in resgeq 1 is located at s1 for all quadratic extensions of global fields | [['it', 'is', 'shown', 'that', 'the', 'only', 'possible', 'pole', 'of', 'the', 'twisted', 'tensor', 'lfunctions', 'in', 'resgeq', '1', 'is', 'located', 'at', 's1', 'for', 'all', 'quadratic', 'extensions', 'of', 'global', 'fields']] | [-0.21541564466986948, 0.10775493672833993, -0.04968195926183118, 0.11632130919203448, -0.05689623405655416, -0.11362534790084912, -0.08845490500187644, 0.33060149361307806, -0.25286618849405873, -0.20230272999749735, 0.14708628714568198, -0.26055757536624485, -0.12448685014477143, 0.2118259688409475, 0.022140624915034726, -0.022297820792748377, -0.025681827824043397, 0.1764563235382621, -0.08270562231728736, -0.3213139993783373, 0.34493976243986535, 0.018993814404194172, 0.20841227350040123, 0.07930398856003124, 0.13978811052556223, -0.027280965945325218, 0.0617726853547188, -0.057017337351750866, -0.061554386684852386, 0.0921258063127215, 0.26494889692045176, 0.04475568191936383, 0.19038209612839496, -0.3509895724172776, -0.150684266207883, 0.1360395530310388, 0.10539636560357533, 0.007359524042560504, 0.052212369126769215, -0.20433060934122366, 0.16429092500878212, -0.1530171582976786, -0.2030598699616698, -0.04012294772725839, 0.05851089603787001, -0.016531418865689866, -0.28901477365826184, 0.08065096493094014, 0.03002794203796209, 0.0831296696112706, -0.10950368850563581, -0.21539068988596016, -0.07426168979145586, 0.08516421563063677, 0.11704724591870147, 0.1026290596391146, 0.10600328252006036, -0.16126779042399272, -0.05921177198895468, 0.36218649636094385, -0.07855431248362248, -0.16222649680163997, 0.14568161950088465, -0.21882159227075484, -0.1800488203477401, 0.16599736482693025, 0.0668841228247262, 0.12903215764806822, -0.09117548540234566, 0.1746224862200996, -0.12544234283268452, 0.0973715717689349, 0.10849917597638872, -0.04616813990287483, 0.2479101731800116, 0.020948855922772333, 0.1615870353550865, 0.09774326008314696, -0.08282823954001427, -0.08351322523398827, -0.3871275708079338, -0.1364033974778767, -0.16988390390850747, 0.02605803537881002, -0.05290479492396116, -0.12905246220291772, 0.41267357480067474, 0.1266604237831556, 0.16323073176317848, 0.05926141696265684, 0.22588433074549988, 0.10560410864239272, 0.18777685003498426, 0.11343129401883253, 0.2778125643515243, 0.18750107904466298, 0.026492196421783704, -0.13328065139313156, -0.0684906252516577, 0.04971922837341061] |
711.4498 | Flow-correlated dilution of a regular network leads to a percolating
network during tumor induced angiogenesis | We study a simplified stochastic model for the vascularization of a growing
tumor, incorporating the formation of new blood vessels at the tumor periphery
as well as their regression in the tumor center. The resulting morphology of
the tumor vasculature differs drastically from the original one. We demonstrate
that the probabilistic vessel collapse has to be correlated with the blood
shear force in order to yield percolating network structures. The resulting
tumor vasculature displays fractal properties. Fractal dimension, microvascular
density (MVD), blood flow and shear force has been computed for a wide range of
parameters.
| q-bio.CB q-bio.QM q-bio.TO | we study a simplified stochastic model for the vascularization of a growing tumor incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center the resulting morphology of the tumor vasculature differs drastically from the original one we demonstrate that the probabilistic vessel collapse has to be correlated with the blood shear force in order to yield percolating network structures the resulting tumor vasculature displays fractal properties fractal dimension microvascular density mvd blood flow and shear force has been computed for a wide range of parameters | [['we', 'study', 'a', 'simplified', 'stochastic', 'model', 'for', 'the', 'vascularization', 'of', 'a', 'growing', 'tumor', 'incorporating', 'the', 'formation', 'of', 'new', 'blood', 'vessels', 'at', 'the', 'tumor', 'periphery', 'as', 'well', 'as', 'their', 'regression', 'in', 'the', 'tumor', 'center', 'the', 'resulting', 'morphology', 'of', 'the', 'tumor', 'vasculature', 'differs', 'drastically', 'from', 'the', 'original', 'one', 'we', 'demonstrate', 'that', 'the', 'probabilistic', 'vessel', 'collapse', 'has', 'to', 'be', 'correlated', 'with', 'the', 'blood', 'shear', 'force', 'in', 'order', 'to', 'yield', 'percolating', 'network', 'structures', 'the', 'resulting', 'tumor', 'vasculature', 'displays', 'fractal', 'properties', 'fractal', 'dimension', 'microvascular', 'density', 'mvd', 'blood', 'flow', 'and', 'shear', 'force', 'has', 'been', 'computed', 'for', 'a', 'wide', 'range', 'of', 'parameters']] | [-0.014371052600051228, 0.1019022536488544, -0.08297987627845846, 0.02515660936110898, -0.0362852079450692, -0.07778500861635333, -0.02307746290033193, 0.32028422245087934, -0.26066943851152535, -0.2511604366382878, 0.08200061172001848, -0.2666213057837204, -0.20008982110180354, 0.17163980946091836, -0.10164437739080505, 0.0804796631398954, 0.05671653794859977, 0.027295750359955587, 0.0370800813329161, -0.1857733925167275, 0.2719174668388931, 0.01884819321138294, 0.3466190049130666, 0.04010438111267592, 0.12062623238092975, -0.07184396717991484, -0.015163404166110252, 0.08679290382853268, -0.19328333305380319, 0.11124674407612091, 0.23184203701583964, 0.11013617264597039, 0.28399998926018416, -0.461400625070459, -0.310412958749619, 0.08911033158043498, 0.18043843632239212, 0.12624735089116976, -0.024576068767591528, -0.26916615353210976, 0.0826375455350468, -0.13468106984111824, -0.13318690188033017, -0.016330279566739735, 0.007549518545305258, 0.04206530066256068, -0.25881162058365975, 0.21061172968658962, -0.006161717294813379, 0.07853217345760449, -0.11723783305650087, -0.08826274138532186, -0.10584290390405314, 0.1942299479753465, 0.02958944459372249, 0.05926967978501987, 0.28568156570392217, -0.22184084429356613, -0.028486510052492742, 0.35367301141255, 0.008146035765591813, -0.20266932618657224, 0.21492831110954286, -0.16044417439322722, -0.0850210711225181, 0.19678028354813393, 0.21627510688022564, 0.02901847928174232, -0.16967014865459581, -0.03513923245298333, -0.004533005953080168, 0.1605141519593369, 0.11105287978425622, -0.07512130263310514, 0.16820335245789272, 0.30131333913703107, 0.025058806746413833, 0.17329775472661774, -0.17555757960010515, -0.05578056407210074, -0.1970831176462142, -0.15496205434595284, -0.1295535974792744, -0.0022284485987926783, -0.16036181411151407, -0.25012791646448407, 0.41649689337140633, 0.05956182592107277, 0.19727346252797073, 0.07139138743575467, 0.26084820004670245, 0.039656377885196555, 0.11173276447286633, 0.003666781065495391, 0.22189202305529954, 0.11017969468314397, 0.12642264951902785, -0.27673912498070613, 0.12548150527045915, 0.05804655054832294] |
711.4499 | DG-algebras and derived A-infinity algebras | A differential graded algebra can be viewed as an A-infinity algebra. By a
theorem of Kadeishvili, a dga over a field admits a quasi-isomorphism from a
minimal A-infinity algebra. We introduce the notion of a derived A-infinity
algebra and show that any dga A over an arbitrary commutative ground ring k is
equivalent to a minimal derived A-infinity algebra. Such a minimal derived
A-infinity algebra model for A is a k-projective resolution of the homology
algebra of A together with a family of maps satisfying appropriate relations.
As in the case of A-infinity algebras, it is possible to recover the dga up
to quasi-isomorphism from a minimal derived A-infinity algebra model. Hence the
structure we are describing provides a complete description of the
quasi-isomorphism type of the dga.
| math.KT math.AT math.RA | a differential graded algebra can be viewed as an ainfinity algebra by a theorem of kadeishvili a dga over a field admits a quasiisomorphism from a minimal ainfinity algebra we introduce the notion of a derived ainfinity algebra and show that any dga a over an arbitrary commutative ground ring k is equivalent to a minimal derived ainfinity algebra such a minimal derived ainfinity algebra model for a is a kprojective resolution of the homology algebra of a together with a family of maps satisfying appropriate relations as in the case of ainfinity algebras it is possible to recover the dga up to quasiisomorphism from a minimal derived ainfinity algebra model hence the structure we are describing provides a complete description of the quasiisomorphism type of the dga | [['a', 'differential', 'graded', 'algebra', 'can', 'be', 'viewed', 'as', 'an', 'ainfinity', 'algebra', 'by', 'a', 'theorem', 'of', 'kadeishvili', 'a', 'dga', 'over', 'a', 'field', 'admits', 'a', 'quasiisomorphism', 'from', 'a', 'minimal', 'ainfinity', 'algebra', 'we', 'introduce', 'the', 'notion', 'of', 'a', 'derived', 'ainfinity', 'algebra', 'and', 'show', 'that', 'any', 'dga', 'a', 'over', 'an', 'arbitrary', 'commutative', 'ground', 'ring', 'k', 'is', 'equivalent', 'to', 'a', 'minimal', 'derived', 'ainfinity', 'algebra', 'such', 'a', 'minimal', 'derived', 'ainfinity', 'algebra', 'model', 'for', 'a', 'is', 'a', 'kprojective', 'resolution', 'of', 'the', 'homology', 'algebra', 'of', 'a', 'together', 'with', 'a', 'family', 'of', 'maps', 'satisfying', 'appropriate', 'relations', 'as', 'in', 'the', 'case', 'of', 'ainfinity', 'algebras', 'it', 'is', 'possible', 'to', 'recover', 'the', 'dga', 'up', 'to', 'quasiisomorphism', 'from', 'a', 'minimal', 'derived', 'ainfinity', 'algebra', 'model', 'hence', 'the', 'structure', 'we', 'are', 'describing', 'provides', 'a', 'complete', 'description', 'of', 'the', 'quasiisomorphism', 'type', 'of', 'the', 'dga']] | [-0.21489500961615704, -0.008382880774433943, -0.09636830987329859, 0.07668864238712558, -0.15464450237777783, -0.14828929436043836, -0.05748440923343878, 0.3274006082501728, -0.4492471492594632, -0.2300571812193084, 0.0840147751614495, -0.17544341836764943, -0.15742130578018987, 0.1770872086599411, -0.18245202266189153, -0.09453074017801555, 0.10324375731761393, 0.15918792728189146, -0.12681345113423959, -0.15416188437029632, 0.4084278005284432, 0.042263355220711674, 0.1916372365267307, 0.004282599813450361, 0.2031849738341407, -0.014177699827996548, -0.0013570863338827621, 0.03384093389104237, -0.20163715459995046, 0.15075856514340558, 0.31194031706399983, 0.07949934688804206, 0.1360648002319067, -0.34899009474611375, -0.1000825404698844, 0.14662816246345756, 0.12757971039172844, 0.07670780778607877, -0.004252660341080627, -0.23949912318312272, 0.11598363232042175, -0.29799052033922635, -0.10574194894252287, -0.04687024736631429, 0.07808051548363437, -0.042981846956536174, -0.29764677888533697, -0.03829926923936, 0.09380057398811914, 0.16621500283395108, -0.12789783177140635, -0.01795967224461492, -0.13710522464862152, 0.04920039270655252, -0.13477622439677361, 0.08921701049621333, 0.1399608943684143, -0.09071915802996955, -0.17337688610132318, 0.3677834042696304, -0.07477351509442087, -0.23584172539995052, 0.0828997172675372, -0.11972485370279173, -0.14104387983024935, 0.14346967263554689, -0.03916902266792022, 0.1099137096607592, -0.06801854830746379, 0.27158110564005256, -0.17617254616197897, 0.07260282283823472, 0.06542292469748645, -0.008722411304916022, 0.1535249295511676, 0.14086161086743232, 0.0838641944903884, 0.1581707231443943, 0.054461488256492885, -0.04483509706960831, -0.35335369931999594, -0.22516349425859516, -0.03972758226154838, 0.18976965422189096, -0.13631473580414877, -0.20043569225890678, 0.4083116978581529, 0.10142713380628265, 0.20739785964178736, 0.1620854564680485, 0.22598249951261096, 0.07161769365302462, 0.18113506174267968, -0.004791571392161131, 0.09481985590173281, 0.29398293005760934, 0.014284556307757157, -0.08316983082477236, -0.049786364877945744, 0.24637362280191155] |
711.45 | Correlations in orbital angular momentum of spatially entangled paired
photons generated in parametric downconversion | What are the orbital angular momentum correlations between spatially
entangled photon pairs generated in spontaneous parametric down-conversion? We
show that the answer to this question can be given in two alternative, although
complementary, ways. The answer posed in this letter explains satisfactorily
the seemingly contradictory results obtained in different experiments, and
theoretical approaches.
| quant-ph | what are the orbital angular momentum correlations between spatially entangled photon pairs generated in spontaneous parametric downconversion we show that the answer to this question can be given in two alternative although complementary ways the answer posed in this letter explains satisfactorily the seemingly contradictory results obtained in different experiments and theoretical approaches | [['what', 'are', 'the', 'orbital', 'angular', 'momentum', 'correlations', 'between', 'spatially', 'entangled', 'photon', 'pairs', 'generated', 'in', 'spontaneous', 'parametric', 'downconversion', 'we', 'show', 'that', 'the', 'answer', 'to', 'this', 'question', 'can', 'be', 'given', 'in', 'two', 'alternative', 'although', 'complementary', 'ways', 'the', 'answer', 'posed', 'in', 'this', 'letter', 'explains', 'satisfactorily', 'the', 'seemingly', 'contradictory', 'results', 'obtained', 'in', 'different', 'experiments', 'and', 'theoretical', 'approaches']] | [-0.09872508852935906, 0.1707645554429377, -0.07894063969406317, 0.13643880220534244, -0.07227534519613914, -0.15497795093523445, 0.031209399642528227, 0.4402447005487838, -0.29077592833002786, -0.33272512200868354, -0.043256847802901045, -0.29207833033968816, -0.10745324545873786, 0.19794164158685026, -0.07556084849221527, 0.052562768606223026, 0.06855317139734496, -0.07799282603246986, -0.035892603378567214, -0.2676092494402151, 0.34729197556767966, 0.003043705043997967, 0.30659093498691636, 0.09834194090656655, 0.09873288865464758, -0.06866026353442443, -0.06518437158105508, 0.008220668521903033, -0.13808807260249764, 0.11700774006158957, 0.3192881255076741, 0.13807444457175597, 0.21466163500159416, -0.42076642298192346, -0.17267924440005478, 0.08243372704271439, 0.18730458426552843, 0.1578299178003843, -0.05022805829901459, -0.27996243736794535, -0.0018422271735649908, -0.13785802394608562, -0.09337665841756564, -0.09139091370381275, -0.02200607707688831, -0.037524125275184526, -0.25263937313179924, 0.12015955393940632, 0.1302879424633915, 0.01776361602516669, -0.04422834542808386, -0.05056318758442154, 0.034660988961750606, 0.05652701633297048, 0.09083141023778431, 0.009760785593106499, 0.025947780198997485, -0.09608810085732981, -0.22915159773854715, 0.30689009674275647, -0.030853639444652595, -0.23178278214906622, 0.1853507821676585, -0.18322175814119993, -0.12300444426858481, 0.05805148874883944, 0.10826968933007557, 0.10224472689178754, -0.1669494236098989, -0.011510111559577778, -0.1293415498638631, 0.18517266828918233, 0.14893191431227298, 0.07848729999771095, 0.2696555332755143, 0.08052610205530347, -0.04953156308850871, 0.12008821261598605, -0.01303416908771362, -0.11338273117775624, -0.27524045619340437, -0.09725418106986666, -0.19748101024537013, 0.08320251188926259, -0.0046141469619952954, -0.04580654077372461, 0.40612383615576997, 0.22524575715146536, 0.2571951817229109, -0.04757657828125751, 0.30637277388628925, 0.0975929481627525, -0.018363634229830977, 0.01965791029187868, 0.2820109070964017, 0.072269265373009, 0.07455189325758871, -0.22062805261603505, 0.047624372881573604, -0.03013891424601546] |
711.4501 | Relativistic energy of a moving spherical capacitor | We discuss the relativistic transformation of the energy of a charged
spherical capacitor. The energy stored in the electromagnetic fields observed
by an uniformly moving frame is related to that of the rest frame by a factor
different from $\gamma $. Considering the energy and the stresses in the
capacitor shells we show that the total energy of the system satisfies the
expected relativistic transformation.
| physics.class-ph | we discuss the relativistic transformation of the energy of a charged spherical capacitor the energy stored in the electromagnetic fields observed by an uniformly moving frame is related to that of the rest frame by a factor different from gamma considering the energy and the stresses in the capacitor shells we show that the total energy of the system satisfies the expected relativistic transformation | [['we', 'discuss', 'the', 'relativistic', 'transformation', 'of', 'the', 'energy', 'of', 'a', 'charged', 'spherical', 'capacitor', 'the', 'energy', 'stored', 'in', 'the', 'electromagnetic', 'fields', 'observed', 'by', 'an', 'uniformly', 'moving', 'frame', 'is', 'related', 'to', 'that', 'of', 'the', 'rest', 'frame', 'by', 'a', 'factor', 'different', 'from', 'gamma', 'considering', 'the', 'energy', 'and', 'the', 'stresses', 'in', 'the', 'capacitor', 'shells', 'we', 'show', 'that', 'the', 'total', 'energy', 'of', 'the', 'system', 'satisfies', 'the', 'expected', 'relativistic', 'transformation']] | [-0.15478914058985538, 0.16260044616706182, -0.06290774429180601, 0.04975254354394565, 0.024901369266444817, -0.05234853186266264, -0.0033479312828603724, 0.35435720036548446, -0.28928842225286644, -0.30749824273516424, -0.009821851439482998, -0.26381403124833014, -0.026400055503472686, 0.1483167204714846, -0.0069099343027119176, 0.001912421896122396, 0.029722127597779036, 0.09906932227750076, -0.08609908752987394, -0.12861292895831866, 0.3540234418323962, 0.13871565436420497, 0.29299207878648303, 0.006140589830465615, 0.12929567767423578, 0.020535938452667324, -0.011315605574054644, 0.06271434294467326, -0.10225753086820077, 0.09031289860286051, 0.14986889001602322, 0.0711566503123322, 0.23909234369784826, -0.45872696666629054, -0.18998797271342482, 0.08676587216905318, 0.05083741049747914, 0.09619662904879078, -0.0871674000954954, -0.2518040248542093, 0.033115937214461155, -0.16429653458180837, -0.1525118206773186, 0.011578628036659211, 0.020020130403281655, 0.1070518032356631, -0.2219511394505389, 0.09512889447103134, 0.06713618743560801, -0.045819512743037194, -0.16360236972104758, -0.06200488687863981, -0.03512615471845493, 0.06614949901995715, 0.11106191131329979, 0.044402635452570394, 0.19478794197493698, -0.12465121810237179, -0.04565979076141957, 0.45252686040475965, -0.046277088793431176, -0.1870787741645472, 0.12463786514126696, -0.16096164013288217, -0.04491459790006047, 0.17013523637433536, 0.1704494437435642, 0.08657560648862273, -0.18010504139238037, 0.08930105459785409, -0.04467105685034767, 0.16046534455381334, 0.0969102975941496, -0.010745307328761555, 0.21785659159650095, 0.10522808966925368, -0.0016253391731879674, 0.18850693626882276, -0.11493784231424797, -0.040586211005575024, -0.3924664780497551, -0.1911516880063573, -0.20079988485667855, 0.06005289470340358, -0.09200840837866053, -0.10940704673703294, 0.41139722790103406, 0.07466926501365378, 0.1614581146131968, -0.015474007377633825, 0.2803201407659799, 0.16502536723419325, 0.08546711620147107, 0.1389963023175369, 0.31943894207142876, 0.10302988463809015, 0.14060831055394374, -0.25850670558793354, -0.053530697550741024, 0.04435761951026507] |
711.4502 | An Improvement of the Asymptotic Iteration Method for Exactly Solvable
Eigenvalue Problems | We derive a formula that simplifies the original asymptotic iteration method
formulation to find the energy eigenvalues for the analytically solvable cases.
We then show that there is a connection between the asymptotic iteration and
the Nikiforov--Uvarov methods, which both solve the second order linear
ordinary differential equations analytically.
| quant-ph math-ph math.MP | we derive a formula that simplifies the original asymptotic iteration method formulation to find the energy eigenvalues for the analytically solvable cases we then show that there is a connection between the asymptotic iteration and the nikiforovuvarov methods which both solve the second order linear ordinary differential equations analytically | [['we', 'derive', 'a', 'formula', 'that', 'simplifies', 'the', 'original', 'asymptotic', 'iteration', 'method', 'formulation', 'to', 'find', 'the', 'energy', 'eigenvalues', 'for', 'the', 'analytically', 'solvable', 'cases', 'we', 'then', 'show', 'that', 'there', 'is', 'a', 'connection', 'between', 'the', 'asymptotic', 'iteration', 'and', 'the', 'nikiforovuvarov', 'methods', 'which', 'both', 'solve', 'the', 'second', 'order', 'linear', 'ordinary', 'differential', 'equations', 'analytically']] | [-0.10284405980943417, -0.01954743783084714, -0.14509556044311245, 0.10940467103679037, -0.09537076843636376, -0.17537623334067817, 0.06072542841109086, 0.2996071331792188, -0.2903893424283561, -0.2822362252378038, 0.07951203476143431, -0.2545942748678202, -0.24557995172787686, 0.17549100853217653, 0.018403661836470877, 0.0754574209698761, 0.08611406271383927, 0.07729789652690595, -0.14060191277946746, -0.25629748534221125, 0.2777659535141928, -0.022038236108361458, 0.24911344871970312, 0.006712921724027517, 0.18463981304583804, -0.031475929614650656, 0.01836867330177706, 0.003257381955744658, -0.18508898179024239, 0.12136363578314076, 0.2785204062903566, 0.07517529661025928, 0.2721191916272652, -0.3941652380614256, -0.14258323471080891, 0.12554988292597083, 0.19160055105897542, 0.1409974326355839, -0.008605642567331694, -0.22094239868527774, 0.10585552644060582, -0.1671254178699182, -0.18867320879077426, -0.12157466479254012, 0.0022252492074455532, 0.015271009221596986, -0.3145553341933659, 0.09721332180256746, 0.06907268522820455, -0.0516949331763406, -0.07867399767535377, -0.09496918161000524, -0.007838920157934939, 0.052725699464125295, 0.07113880344368968, -0.09230285968479453, 0.029321130555199117, -0.06832750062743316, -0.06913578472746422, 0.3302807326295546, -0.06508796195718175, -0.2930047318567427, 0.08855290919998471, -0.11663565718169723, -0.13421589327614983, 0.10249780297127305, 0.1220541511655177, 0.18720799604696886, -0.14906511913832962, 0.17094141899546303, -0.056162344862003714, 0.12360058116669558, 0.0962013453245163, -0.08185413039802593, 0.043642101315211276, 0.035173313087565175, 0.10093712497607102, 0.1911614919461462, -0.03349921791529169, -0.1776096264318544, -0.34859900663093646, -0.17137250212990507, -0.17756139175320157, 0.008247773543152273, -0.13724767694182038, -0.14407114359569184, 0.3839063948894642, 0.14420470116393908, 0.14548594162476305, 0.17383197362639238, 0.33933885551380866, 0.3246859411461925, -0.022251468921574404, 0.1315136656137801, 0.23515311039376016, 0.19835189218651883, 0.08072724432817527, -0.3106309857976157, -0.0075927519296505016, 0.220756949096614] |
711.4503 | A New Ultracool White Dwarf Discovered in the SuperCOSMOS Sky Survey | We present photographic B, R and I photometry, and optical and near-infrared
spectroscopy, of a new ultracool white dwarf (UCWD) discovered in the
SuperCOSMOS Sky Survey. The spectrum of SSSJ1556-0806 shows strong flux
suppression due to the presence of collisionally induced absorption by
molecular hydrogen (H2CIA), a feature characteristic of the cool, high density
environments found in the atmospheres of ultracool white dwarfs. SSSJ1556-0806
therefore joins a list of <10 ultracool white dwarfs displaying extreme flux
suppression. Synthetic model fitting suggests an effective temperature <3000K,
which if true would make this one of the coolest white dwarfs currently known.
We also exploit the similarity between the SEDs of SSSJ1556-0806 and the
well-studied UCWD LHS 3250 to aid in the determination of the atmospheric
parameters in a regime where models consistently fail to reproduce
observations. SSSJ1556-0806 is relatively bright (R ~ 17.8), making it
particularly amenable to follow up observations to obtain trigonometric
parallax and IR photometry.
| astro-ph | we present photographic b r and i photometry and optical and nearinfrared spectroscopy of a new ultracool white dwarf ucwd discovered in the supercosmos sky survey the spectrum of sssj15560806 shows strong flux suppression due to the presence of collisionally induced absorption by molecular hydrogen h2cia a feature characteristic of the cool high density environments found in the atmospheres of ultracool white dwarfs sssj15560806 therefore joins a list of 10 ultracool white dwarfs displaying extreme flux suppression synthetic model fitting suggests an effective temperature 3000k which if true would make this one of the coolest white dwarfs currently known we also exploit the similarity between the seds of sssj15560806 and the wellstudied ucwd lhs 3250 to aid in the determination of the atmospheric parameters in a regime where models consistently fail to reproduce observations sssj15560806 is relatively bright r 178 making it particularly amenable to follow up observations to obtain trigonometric parallax and ir photometry | [['we', 'present', 'photographic', 'b', 'r', 'and', 'i', 'photometry', 'and', 'optical', 'and', 'nearinfrared', 'spectroscopy', 'of', 'a', 'new', 'ultracool', 'white', 'dwarf', 'ucwd', 'discovered', 'in', 'the', 'supercosmos', 'sky', 'survey', 'the', 'spectrum', 'of', 'sssj15560806', 'shows', 'strong', 'flux', 'suppression', 'due', 'to', 'the', 'presence', 'of', 'collisionally', 'induced', 'absorption', 'by', 'molecular', 'hydrogen', 'h2cia', 'a', 'feature', 'characteristic', 'of', 'the', 'cool', 'high', 'density', 'environments', 'found', 'in', 'the', 'atmospheres', 'of', 'ultracool', 'white', 'dwarfs', 'sssj15560806', 'therefore', 'joins', 'a', 'list', 'of', '10', 'ultracool', 'white', 'dwarfs', 'displaying', 'extreme', 'flux', 'suppression', 'synthetic', 'model', 'fitting', 'suggests', 'an', 'effective', 'temperature', '3000k', 'which', 'if', 'true', 'would', 'make', 'this', 'one', 'of', 'the', 'coolest', 'white', 'dwarfs', 'currently', 'known', 'we', 'also', 'exploit', 'the', 'similarity', 'between', 'the', 'seds', 'of', 'sssj15560806', 'and', 'the', 'wellstudied', 'ucwd', 'lhs', '3250', 'to', 'aid', 'in', 'the', 'determination', 'of', 'the', 'atmospheric', 'parameters', 'in', 'a', 'regime', 'where', 'models', 'consistently', 'fail', 'to', 'reproduce', 'observations', 'sssj15560806', 'is', 'relatively', 'bright', 'r', '178', 'making', 'it', 'particularly', 'amenable', 'to', 'follow', 'up', 'observations', 'to', 'obtain', 'trigonometric', 'parallax', 'and', 'ir', 'photometry']] | [-0.029298225531084954, 0.11175225102153108, -0.06842629466892074, 0.10000729891410294, -0.13516621770778378, -0.12220417684339306, 0.1181925090970349, 0.39296659924040894, -0.16650155632401278, -0.36807158385636285, 0.05343302478094732, -0.31376722830923665, -0.060084514028714786, 0.19506350581880388, -0.10661330749893463, -0.028083542778499816, 0.0895507829999061, -0.08473421448357649, -0.025008375842222257, -0.25099362560707195, 0.26038603972962227, 0.06004319415507397, 0.1227429544424491, -0.04424197119844489, 0.026974697917466983, -0.09570742979351628, -0.12451755625079386, -0.054816806920203624, -0.1460642598716444, 0.012138578489324764, 0.26274729847838035, 0.0763030106808353, 0.18580459853891576, -0.2847167104298837, -0.24022040632093863, 0.07769555202149174, 0.1509769222803267, 0.008386800635459, -0.04291302508270172, -0.25019238696213025, 0.05492181770540284, -0.16526307925998576, -0.1698303081364812, -0.011517836257361955, 0.07402874735233031, 0.026615069480612874, -0.2838702092627308, 0.08562690952500193, 0.05731653436209614, 0.13587695157988683, -0.1440543713427982, -0.14006815955202145, -0.03421758548479135, 0.07512863055116643, -0.03761973566341974, 0.0540813475458172, 0.09524381240388673, -0.13564150583605575, 0.01030984444935855, 0.40527238150427464, -0.16206810767241558, 0.03956527461751217, 0.2532270961520752, -0.18117145901411086, -0.14397320318522888, 0.15444663319029037, 0.10261362948834798, 0.1508090736920406, -0.21034241573100812, 0.022265478195454068, -0.006811472355988563, 0.19549249195628554, 0.03112474768989303, 0.10185123103254132, 0.33175705030168356, 0.10768935254064242, 0.02304426075179914, 0.08280195667727017, -0.28811137057460945, -0.0012833559334180073, -0.18542986819643134, -0.08484700968715754, -0.1585180777367082, 0.09315549498301391, -0.0831780372317505, -0.18604589382639938, 0.3509815710571466, 0.17387050611892177, 0.1946656387559702, 0.011823929928237033, 0.3039203391741275, 0.056456836481198765, 0.10482888127788963, 0.11678331212284607, 0.2912215846682605, 0.22959064369512672, 0.09321047368116285, -0.24201483800578372, 0.019269010922136277, -0.022457228788162434] |
711.4504 | Anomalous fluctuations in sliding motion of cytoskeletal filament driven
by molecular motors: Model simulations | It has been found in in vitro experiments that cytoskeletal filaments driven
by molecular motors show finite diffusion in sliding motion even in the long
filament limit [Y. Imafuku et al., Biophys. J. 70 (1996) 878-886; N. Noda et
al., Biophys. 1 (2005) 45-53]. This anomalous fluctuation can be an evidence
for cooperativity among the motors in action because fluctuation should be
averaged out for a long filament if the action of each motor is independent. In
order to understand the nature of the fluctuation in molecular motors, we
perform numerical simulations and analyse velocity correlation in three
existing models that are known to show some kind of cooperativity and/or large
diffusion coefficient, i.e. Sekimoto-Tawada model [K. Sekimoto and K. Tawada,
Phys. Rev. Lett. 75 (1995) 180], Prost model [J. Prost et al., Phys. Rev. Lett.
72 (1994) 2652], and Duke model [T. Duke, Proc. Natl. Acad. Sci. USA, 96 (1999)
2770]. It is shown that Prost model and Duke model do not give a finite
diffusion in the long filament limit in spite of collective action of motors.
On the other hand, Sekimoto-Tawada model has been shown to give the diffusion
coefficient that is independent of filament length, but it comes from the long
time correlation whose time scale is proportional to filament length, and our
simulations show that such a long correlation time conflicts with the
experimental time scales. We conclude that none of the three models do not
represent experimental findings. In order to explain the observed anomalous
diffusion, we have to seek for the mechanism that should allow both the
amplitude and the time scale of the velocity correlation to be independent of
the filament length.
| q-bio.QM q-bio.BM | it has been found in in vitro experiments that cytoskeletal filaments driven by molecular motors show finite diffusion in sliding motion even in the long filament limit y imafuku et al biophys j 70 1996 878886 n noda et al biophys 1 2005 4553 this anomalous fluctuation can be an evidence for cooperativity among the motors in action because fluctuation should be averaged out for a long filament if the action of each motor is independent in order to understand the nature of the fluctuation in molecular motors we perform numerical simulations and analyse velocity correlation in three existing models that are known to show some kind of cooperativity andor large diffusion coefficient ie sekimototawada model k sekimoto and k tawada phys rev lett 75 1995 180 prost model j prost et al phys rev lett 72 1994 2652 and duke model t duke proc natl acad sci usa 96 1999 2770 it is shown that prost model and duke model do not give a finite diffusion in the long filament limit in spite of collective action of motors on the other hand sekimototawada model has been shown to give the diffusion coefficient that is independent of filament length but it comes from the long time correlation whose time scale is proportional to filament length and our simulations show that such a long correlation time conflicts with the experimental time scales we conclude that none of the three models do not represent experimental findings in order to explain the observed anomalous diffusion we have to seek for the mechanism that should allow both the amplitude and the time scale of the velocity correlation to be independent of the filament length | [['it', 'has', 'been', 'found', 'in', 'in', 'vitro', 'experiments', 'that', 'cytoskeletal', 'filaments', 'driven', 'by', 'molecular', 'motors', 'show', 'finite', 'diffusion', 'in', 'sliding', 'motion', 'even', 'in', 'the', 'long', 'filament', 'limit', 'y', 'imafuku', 'et', 'al', 'biophys', 'j', '70', '1996', '878886', 'n', 'noda', 'et', 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711.4505 | Collisional Stark Transitions and Induced Annihilation of Cold
Antiprotonic Helium Ions | Stark transitions and induced annihilation of antiproton in the collisions of
antiprotonic helium ions (\bar{p}He^{+2})_{nl} with He atoms at very low energy
(~ 10 K) are considered in the framework of quantum coupled-channels method
taking into account all the states with different l at given n~30, including
the annihilating ns and np-states. Elastic scattering, Stark transitions and
induced annihilation during collisions are produced by scalar and dipole terms
in the interaction. It is shown that the most important contribution to the
processes comes from the long-range polarization interaction. Admixtures of the
ns and np-states to the states with higher l during collisions induce the
effective annihilation cross sections for the initial l up to 15, but don't
affect the Stark cross sections for the initial states nearly to circular
orbits. Total rates of the Stark transitions from the circular orbits with n=28
- 32, averaged over the thermal motion, are compatible with the recent ASACUSA
data. Isotope effect as well as the dependence on n are also qualitatively
agree with the experiment.
| nucl-th | stark transitions and induced annihilation of antiproton in the collisions of antiprotonic helium ions barphe2_nl with he atoms at very low energy 10 k are considered in the framework of quantum coupledchannels method taking into account all the states with different l at given n30 including the annihilating ns and npstates elastic scattering stark transitions and induced annihilation during collisions are produced by scalar and dipole terms in the interaction it is shown that the most important contribution to the processes comes from the longrange polarization interaction admixtures of the ns and npstates to the states with higher l during collisions induce the effective annihilation cross sections for the initial l up to 15 but dont affect the stark cross sections for the initial states nearly to circular orbits total rates of the stark transitions from the circular orbits with n28 32 averaged over the thermal motion are compatible with the recent asacusa data isotope effect as well as the dependence on n are also qualitatively agree with the experiment | [['stark', 'transitions', 'and', 'induced', 'annihilation', 'of', 'antiproton', 'in', 'the', 'collisions', 'of', 'antiprotonic', 'helium', 'ions', 'barphe2_nl', 'with', 'he', 'atoms', 'at', 'very', 'low', 'energy', '10', 'k', 'are', 'considered', 'in', 'the', 'framework', 'of', 'quantum', 'coupledchannels', 'method', 'taking', 'into', 'account', 'all', 'the', 'states', 'with', 'different', 'l', 'at', 'given', 'n30', 'including', 'the', 'annihilating', 'ns', 'and', 'npstates', 'elastic', 'scattering', 'stark', 'transitions', 'and', 'induced', 'annihilation', 'during', 'collisions', 'are', 'produced', 'by', 'scalar', 'and', 'dipole', 'terms', 'in', 'the', 'interaction', 'it', 'is', 'shown', 'that', 'the', 'most', 'important', 'contribution', 'to', 'the', 'processes', 'comes', 'from', 'the', 'longrange', 'polarization', 'interaction', 'admixtures', 'of', 'the', 'ns', 'and', 'npstates', 'to', 'the', 'states', 'with', 'higher', 'l', 'during', 'collisions', 'induce', 'the', 'effective', 'annihilation', 'cross', 'sections', 'for', 'the', 'initial', 'l', 'up', 'to', '15', 'but', 'dont', 'affect', 'the', 'stark', 'cross', 'sections', 'for', 'the', 'initial', 'states', 'nearly', 'to', 'circular', 'orbits', 'total', 'rates', 'of', 'the', 'stark', 'transitions', 'from', 'the', 'circular', 'orbits', 'with', 'n28', '32', 'averaged', 'over', 'the', 'thermal', 'motion', 'are', 'compatible', 'with', 'the', 'recent', 'asacusa', 'data', 'isotope', 'effect', 'as', 'well', 'as', 'the', 'dependence', 'on', 'n', 'are', 'also', 'qualitatively', 'agree', 'with', 'the', 'experiment']] | [-0.09220031676409643, 0.23634426323641203, -0.03722319889445594, 0.06870885454132193, 0.04183347569081464, -0.092349426455595, 0.0011457179625613426, 0.36031798923577735, -0.22012676074222556, -0.3472881662787613, -0.03412775545238802, -0.35099838038872994, 0.019991708834360012, 0.16956981613919764, 0.07653814733786854, 0.04766529883623324, 0.08574110198860799, 0.053980236885578424, -0.028154188205214765, -0.21520597737318764, 0.31641089228054364, 0.0853658909372662, 0.22449598120648168, 0.08945409277269985, 0.03775689037151434, 0.027704759811826362, 0.00411845212467684, -0.020671278076569835, -0.09126804144600786, 0.08505797083855574, 0.23986508852933272, 0.011920415768455603, 0.12089986486282356, -0.43748753389600153, -0.15375699122397307, 0.11623082668548394, 0.12912346236965436, 0.14449075919793483, -0.017194139041302136, -0.30304357615957583, 0.036008345189052604, -0.1822746477708845, -0.0900873858948701, -0.040413556695765185, 0.09369127921938539, 0.03351626289774201, -0.26161367229247345, 0.09631231934993534, 0.04779956293742669, 0.032133357683029364, -0.09846212512194485, -0.18357890181265726, -0.06167777997168328, 0.06384969780690031, 0.053842204509994496, 0.01735768219578766, 0.16949915308031271, -0.09057410195829559, -0.10712149228048817, 0.41084386196968975, -0.09837274840882348, -0.09070478278786658, 0.17983909487734065, -0.19854827554517251, -0.08791384011406653, 0.21789933613384377, 0.1611076125785887, 0.10380319660127967, -0.08874156136166103, 0.08158873757441573, 0.04606874832189168, 0.11476128363373973, 0.12630602283247128, 0.042945486011017046, 0.20733064471905727, 0.11222194970103014, 0.0201876971251638, 0.06426216685491988, -0.13061409680290262, -0.11933915409633143, -0.32481527046306047, -0.0896694931274135, -0.09919698857688374, 0.044211990341406826, -0.0103466291963311, -0.08721817491355095, 0.313510009999426, 0.07673028814132342, 0.2956326847591348, -0.02674761940000166, 0.2899902479355028, 0.12460028853171232, 0.07550302311003593, 0.05354344627602461, 0.30775431094657696, 0.19857185159553356, 0.10486772188200186, -0.28524603943262405, 0.051530743595686726, -0.011950264255443733] |
711.4506 | Tailoring magnetic and magnetocaloric properties of martensitic
transitions in ferromagnetic Heusler alloys | Ni$_{50}$Mn$_{34}$In$_{16}$ undergoes a martensitic transformation around 250
K and exhibits a field induced reverse martensitic transformation and
substantial magnetocaloric effects. We substitute small amounts Ga for In,
which are isoelectronic, to carry these technically important properties to
close to room temperature by shifting the martensitic transformation
temperature.
| cond-mat.mtrl-sci | ni_50mn_34in_16 undergoes a martensitic transformation around 250 k and exhibits a field induced reverse martensitic transformation and substantial magnetocaloric effects we substitute small amounts ga for in which are isoelectronic to carry these technically important properties to close to room temperature by shifting the martensitic transformation temperature | [['ni_50mn_34in_16', 'undergoes', 'a', 'martensitic', 'transformation', 'around', '250', 'k', 'and', 'exhibits', 'a', 'field', 'induced', 'reverse', 'martensitic', 'transformation', 'and', 'substantial', 'magnetocaloric', 'effects', 'we', 'substitute', 'small', 'amounts', 'ga', 'for', 'in', 'which', 'are', 'isoelectronic', 'to', 'carry', 'these', 'technically', 'important', 'properties', 'to', 'close', 'to', 'room', 'temperature', 'by', 'shifting', 'the', 'martensitic', 'transformation', 'temperature']] | [-0.08841813577616468, 0.25868252319026186, -0.04673905002864751, 0.00087893152847252, -0.1208269781175446, -0.13534229597512712, 0.14268725098883536, 0.45467723628624956, -0.32679064068546954, -0.30781351014020597, 0.029973735782674493, -0.32670424926154157, -0.13683241439309526, 0.15609361972422042, 0.044533399983923486, -0.014286995256081857, -0.061666861216121534, -0.004132430148410036, -0.22684058981967417, -0.18190772950332215, 0.19373949311990687, 0.11635548114142519, 0.2856003871147937, 0.006935578741212475, 0.07269590665051277, -0.06935172126596878, 0.1275414691326466, 0.03654923089383606, -0.13343790128945987, -0.052277409397263795, 0.2781304235946625, -0.023570905499001767, 0.21318907924789063, -0.3826767138621591, -0.19182007054382183, 0.06936244105801304, 0.03135353700812668, 0.1296608949035525, -0.174503624835547, -0.2291893365574961, 0.09383771520236785, -0.05759918667930872, -0.08039924816446418, -0.17632189359357384, 0.02034263482485759, -0.0556827566011789, -0.22914919206634798, 0.10046919889599791, 0.13993062605050968, 0.14857525899609986, -0.06263632593834971, -0.15099672018054952, -0.07037363232093606, 0.028626993362930543, 0.07138310777063066, 0.07607463227109389, 0.24266390581714345, -0.01780467220839668, 0.00466474924395059, 0.4387418529454698, -0.05836061972312312, 0.021371370221072054, 0.17294452452606104, -0.13590416424174576, -0.12474471658587138, 0.24842100769796588, 0.12605917961039442, 0.07966225439474542, -0.17269228405735276, 0.07158534395003176, 0.13123747769327082, 0.17799946974883687, 0.13802282933264653, -0.015864958629963247, 0.22093973627829172, 0.14150561384381133, 0.004141217275978403, 0.254013364559951, -0.06527744651712636, -0.09072679047413329, -0.20859671510914538, -0.19305880779915668, -0.108509810165839, 0.09013460093039147, -0.12131809490730372, -0.2102654424912118, 0.31194633308877334, 0.16872837561915846, 0.19823185824095568, -0.0873597884288137, 0.17567544458235831, 0.1028574825403221, 0.1488506425756644, -0.00866866637853549, 0.20309370530254028, 0.1765975268171268, 0.17307787119321763, -0.291672972843368, 0.08218303193992123, 0.03612939993593287] |
711.4507 | The Second Law as a Cause of the Evolution | It is a common belief that in any environment where life is possible, life
will be generated. Here it is suggested that the cause for a spontaneous
generation of complex systems is probability driven processes. Based on
equilibrium thermodynamics, it is argued that in low occupation number
statistical systems, the second law of thermodynamics yields an increase of
thermal entropy and a canonic energy distribution. However, in high occupation
number statistical systems, the same law for the same reasons yields an
increase of information and a Benford's law/power-law energy distribution. It
is therefore, plausible, that eventually the heat death is not necessarily the
end of the universe.
| cs.IT cs.AI math.IT | it is a common belief that in any environment where life is possible life will be generated here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes based on equilibrium thermodynamics it is argued that in low occupation number statistical systems the second law of thermodynamics yields an increase of thermal entropy and a canonic energy distribution however in high occupation number statistical systems the same law for the same reasons yields an increase of information and a benfords lawpowerlaw energy distribution it is therefore plausible that eventually the heat death is not necessarily the end of the universe | [['it', 'is', 'a', 'common', 'belief', 'that', 'in', 'any', 'environment', 'where', 'life', 'is', 'possible', 'life', 'will', 'be', 'generated', 'here', 'it', 'is', 'suggested', 'that', 'the', 'cause', 'for', 'a', 'spontaneous', 'generation', 'of', 'complex', 'systems', 'is', 'probability', 'driven', 'processes', 'based', 'on', 'equilibrium', 'thermodynamics', 'it', 'is', 'argued', 'that', 'in', 'low', 'occupation', 'number', 'statistical', 'systems', 'the', 'second', 'law', 'of', 'thermodynamics', 'yields', 'an', 'increase', 'of', 'thermal', 'entropy', 'and', 'a', 'canonic', 'energy', 'distribution', 'however', 'in', 'high', 'occupation', 'number', 'statistical', 'systems', 'the', 'same', 'law', 'for', 'the', 'same', 'reasons', 'yields', 'an', 'increase', 'of', 'information', 'and', 'a', 'benfords', 'lawpowerlaw', 'energy', 'distribution', 'it', 'is', 'therefore', 'plausible', 'that', 'eventually', 'the', 'heat', 'death', 'is', 'not', 'necessarily', 'the', 'end', 'of', 'the', 'universe']] | [-0.12101215216823204, 0.18369681383993802, -0.13521563898736857, 0.11783972273817954, -0.04323491305859654, -0.10431746743127422, 0.06697049640329941, 0.3057041560334839, -0.26888090598765974, -0.28619495097587305, 0.08681356515142329, -0.29344307659369595, -0.12300952631576022, 0.1929886968908524, -0.07884667843211231, 0.015056770035715879, 0.022149490623049578, 0.08507712704639109, 0.01946778920476922, -0.2316745430459532, 0.29630434118597854, 0.1138713639229536, 0.34095669201715795, 0.05947857296516029, 0.09963056406463092, -0.04901951949885291, 0.031177430870538612, 0.020981416422522294, -0.058452778506007066, 0.06396199354269314, 0.20659204455584568, 0.179759438856909, 0.303655217357753, -0.38172119671373433, -0.24334637959540453, 0.1611165096895453, 0.12555922149627838, 0.12154880332549647, -0.06995314640269773, -0.16776160538780838, 0.05906199187672925, -0.19993892596718274, -0.16027311783916545, -0.04978567016319776, 0.07789081653562498, 0.03175684137441183, -0.25710025655088137, 0.12383026967071137, 0.10024439693288, 0.02077638264745474, -0.06206688224469786, -0.045825301441100405, -0.0467982539502939, 0.11189984390072806, 0.04438056759228754, 0.009350930954514176, 0.15817825860324106, -0.11975971163900674, -0.08891592020133757, 0.40541508825241046, -0.021603956144250366, -0.17722186509449528, 0.18656670284360857, -0.1828142232832692, -0.16809189727723176, 0.14214743572102753, 0.11388501612785852, 0.09426761756954223, -0.17419809323542243, 0.038926669160609204, 0.008964856410012493, 0.20302797120969462, 0.01439320994541049, 0.03963232070277884, 0.2655789319575184, 0.178864877337133, 0.06620262475367987, 0.10427673633170824, -0.034541823130259115, -0.16466910343777547, -0.30070296128473756, -0.2119772285486589, -0.26545414509128706, 0.09224965251481956, -0.05975381391236058, -0.17191415538413907, 0.322056277501309, 0.1598973235572284, 0.16885344785163706, 0.04556574641270036, 0.28460540916805843, 0.1869499779148203, 0.046151989245049235, 0.06579207212945341, 0.22766264166050362, 0.10153663871844984, 0.11994528108417003, -0.20446334337131428, 0.13360332218350246, -0.015915363368068664] |
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