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709.0035 | On The Limitations of The Naive Lattice Decoding | In this paper, the inherent drawbacks of the naive lattice decoding for MIMO
fading systems is investigated. We show that using the naive lattice decoding
for MIMO systems has considerable deficiencies in terms of the rate-diversity
trade-off. Unlike the case of maximum-likelihood decoding, in this case, even
the perfect lattice space-time codes which have the non-vanishing determinant
property can not achieve the optimal rate-diversity trade-off. Indeed, we show
that in the case of naive lattice decoding, when we fix the underlying lattice,
all the codes based on full-rate lattices have the same rate-diversity
trade-off as V-BLAST. Also, we drive a lower bound on the symbol error
probability of the naive lattice decoding for the fixed-rate MIMO systems (with
equal numbers of receive and transmit antennas). This bound shows that
asymptotically, the naive lattice decoding has an unbounded loss in terms of
the required SNR, compared to the maximum likelihood decoding.
| cs.IT math.IT | in this paper the inherent drawbacks of the naive lattice decoding for mimo fading systems is investigated we show that using the naive lattice decoding for mimo systems has considerable deficiencies in terms of the ratediversity tradeoff unlike the case of maximumlikelihood decoding in this case even the perfect lattice spacetime codes which have the nonvanishing determinant property can not achieve the optimal ratediversity tradeoff indeed we show that in the case of naive lattice decoding when we fix the underlying lattice all the codes based on fullrate lattices have the same ratediversity tradeoff as vblast also we drive a lower bound on the symbol error probability of the naive lattice decoding for the fixedrate mimo systems with equal numbers of receive and transmit antennas this bound shows that asymptotically the naive lattice decoding has an unbounded loss in terms of the required snr compared to the maximum likelihood decoding | [['in', 'this', 'paper', 'the', 'inherent', 'drawbacks', 'of', 'the', 'naive', 'lattice', 'decoding', 'for', 'mimo', 'fading', 'systems', 'is', 'investigated', 'we', 'show', 'that', 'using', 'the', 'naive', 'lattice', 'decoding', 'for', 'mimo', 'systems', 'has', 'considerable', 'deficiencies', 'in', 'terms', 'of', 'the', 'ratediversity', 'tradeoff', 'unlike', 'the', 'case', 'of', 'maximumlikelihood', 'decoding', 'in', 'this', 'case', 'even', 'the', 'perfect', 'lattice', 'spacetime', 'codes', 'which', 'have', 'the', 'nonvanishing', 'determinant', 'property', 'can', 'not', 'achieve', 'the', 'optimal', 'ratediversity', 'tradeoff', 'indeed', 'we', 'show', 'that', 'in', 'the', 'case', 'of', 'naive', 'lattice', 'decoding', 'when', 'we', 'fix', 'the', 'underlying', 'lattice', 'all', 'the', 'codes', 'based', 'on', 'fullrate', 'lattices', 'have', 'the', 'same', 'ratediversity', 'tradeoff', 'as', 'vblast', 'also', 'we', 'drive', 'a', 'lower', 'bound', 'on', 'the', 'symbol', 'error', 'probability', 'of', 'the', 'naive', 'lattice', 'decoding', 'for', 'the', 'fixedrate', 'mimo', 'systems', 'with', 'equal', 'numbers', 'of', 'receive', 'and', 'transmit', 'antennas', 'this', 'bound', 'shows', 'that', 'asymptotically', 'the', 'naive', 'lattice', 'decoding', 'has', 'an', 'unbounded', 'loss', 'in', 'terms', 'of', 'the', 'required', 'snr', 'compared', 'to', 'the', 'maximum', 'likelihood', 'decoding']] | [-0.21928588478205105, 0.0649162922637576, -0.048835031166672704, 0.07641246919364979, -0.023207904224594435, -0.22762356438674033, 0.12098936359165237, 0.38426181068023046, -0.24076049850632747, -0.21787933026750883, 0.09171452125379195, -0.2509998864432176, -0.2205258254536117, 0.13509016554492215, -0.13430477493132154, 0.09340016705915331, 0.06858821569010615, 0.07939963473627965, -0.15177223310650637, -0.3758008412520091, 0.27844339177012445, 0.15814809392827253, 0.3532077202821771, 0.020300326724536716, 0.09830842233495787, 0.029655242711305617, 0.06334725903347134, -0.04640219439441959, -0.11799641562543305, 0.06639883210261663, 0.2741444264243667, 0.17028658169632158, 0.20418767124724885, -0.363474267317603, -0.26546840590114396, 0.10996664595479766, 0.2174411651142873, 0.13336935303717232, -0.021777335279621182, -0.17768698637839406, 0.15155315424005192, -0.2159241127471129, -0.006161198802292347, 0.020995477194276947, -0.08039187048872312, 0.014844520520418882, -0.30744409988013405, 0.023951065532358675, 0.07551032105538373, 0.08462843345167737, -0.012099997815676033, -0.18828411029651762, 0.05761834871334334, 0.10557208523096051, 0.05487367210133622, 0.024145973607276876, -0.0068527377924571435, -0.0847230085497722, -0.15151185397435862, 0.37859325755387546, -0.00603571486659348, -0.2797458964260295, 0.12758976875959585, -0.12578190818428994, -0.0883145532446603, 0.16654644020367415, 0.21828676388909418, 0.054031741634632154, -0.08709487178935281, 0.09186935555771925, -0.051832501745472354, 0.1911127203082045, 0.10241930899520715, 0.14328187077306212, 0.1117060729364554, 0.12873418756294996, 0.09982177374496436, 0.1872210397819678, -0.08946863964820902, -0.12605458785158893, -0.2559870135722061, -0.13202504557324574, -0.24387045273790137, 0.021812661757479267, -0.16061963690512737, -0.14277564078879854, 0.30382905857715137, 0.1675314826533819, 0.12447949809080455, 0.16948046944957848, 0.3172724059720834, 0.1230968829182287, 0.07145952059576909, 0.15254070963865768, 0.24389356383432945, 0.11651374365513524, 0.022133855090166132, -0.2594916410371661, 0.043167655365541575, 0.05531747865801056] |
709.0036 | Circular law for non-central random matrices | Let $(X_{jk})_{j,k\geq 1}$ be an infinite array of i.i.d. complex random
variables, with mean 0 and variance 1. Let $\la_{n,1},...,\la_{n,n}$ be the
eigenvalues of $(\frac{1}{\sqrt{n}}X_{jk})_{1\leq j,k\leq n}$. The strong
circular law theorem states that with probability one, the empirical spectral
distribution $\frac{1}{n}(\de_{\la_{n,1}}+...+\de_{\la_{n,n}})$ converges
weakly as $n\to\infty$ to the uniform law over the unit disc
$\{z\in\dC;|z|\leq1\}$. In this short note, we provide an elementary argument
that allows to add a deterministic matrix $M$ to $(X_{jk})_{1\leq j,k\leq n}$
provided that $\mathrm{Tr}(MM^*)=O(n^2)$ and $\mathrm{rank}(M)=O(n^\al)$ with
$\al<1$. Conveniently, the argument is similar to the one used for the
non-central version of Wigner's and Marchenko-Pastur theorems.
| math.PR | let x_jk_jkgeq 1 be an infinite array of iid complex random variables with mean 0 and variance 1 let la_n1la_nn be the eigenvalues of frac1sqrtnx_jk_1leq jkleq n the strong circular law theorem states that with probability one the empirical spectral distribution frac1nde_la_n1de_la_nn converges weakly as ntoinfty to the uniform law over the unit disc zindczleq1 in this short note we provide an elementary argument that allows to add a deterministic matrix m to x_jk_1leq jkleq n provided that mathrmtrmmon2 and mathrmrankmonal with al1 conveniently the argument is similar to the one used for the noncentral version of wigners and marchenkopastur theorems | [['let', 'x_jk_jkgeq', '1', 'be', 'an', 'infinite', 'array', 'of', 'iid', 'complex', 'random', 'variables', 'with', 'mean', '0', 'and', 'variance', '1', 'let', 'la_n1la_nn', 'be', 'the', 'eigenvalues', 'of', 'frac1sqrtnx_jk_1leq', 'jkleq', 'n', 'the', 'strong', 'circular', 'law', 'theorem', 'states', 'that', 'with', 'probability', 'one', 'the', 'empirical', 'spectral', 'distribution', 'frac1nde_la_n1de_la_nn', 'converges', 'weakly', 'as', 'ntoinfty', 'to', 'the', 'uniform', 'law', 'over', 'the', 'unit', 'disc', 'zindczleq1', 'in', 'this', 'short', 'note', 'we', 'provide', 'an', 'elementary', 'argument', 'that', 'allows', 'to', 'add', 'a', 'deterministic', 'matrix', 'm', 'to', 'x_jk_1leq', 'jkleq', 'n', 'provided', 'that', 'mathrmtrmmon2', 'and', 'mathrmrankmonal', 'with', 'al1', 'conveniently', 'the', 'argument', 'is', 'similar', 'to', 'the', 'one', 'used', 'for', 'the', 'noncentral', 'version', 'of', 'wigners', 'and', 'marchenkopastur', 'theorems']] | [-0.08665643765663689, 0.1508910922481934, -0.13824489372231627, 0.05351269805944094, -0.0300590135006895, -0.18562633091063108, 0.03841078600230356, 0.33816758094615834, -0.26483659235940826, -0.24424564599319892, 0.0751761124226495, -0.3057211278814144, -0.08704377477675657, 0.14263878610255498, -0.09175584141805929, 0.026407201183579303, 0.013840663189228664, 0.07027472324089788, -0.008919128732535468, -0.2541906656872641, 0.2616139510896818, 0.025772630747768185, 0.1948860761614376, -0.002287451008845481, 0.0895710156489444, 0.07572165983779136, 0.026205653194538367, -0.014180261739379457, -0.12765098546288334, 0.10693397223686558, 0.22933096432637784, 0.10203442434650115, 0.288394087414828, -0.3774724043705451, -0.12666668800727254, 0.18515595215903494, 0.17951344089802876, 0.0004971473808250119, 0.01835901750206587, -0.2512674848699281, 0.14081020084440068, -0.1626461978440964, -0.2401173297423489, -0.02958435377216227, 0.06162429440726516, 0.0798334146484292, -0.34404813210850443, 0.07587579181367751, 0.1652979203299569, 0.026866481484224398, -0.0024376960580177126, -0.14449545203317557, 0.026767945340183633, 0.1036069599526023, 0.04903603526162765, 0.0508692742435522, 0.07771499295248299, -0.0013106997069772532, -0.08911544839871587, 0.3151484354025489, -0.10372164657199255, -0.2260208470716832, 0.11160965371496415, -0.1918528064364387, -0.14036096052657213, 0.08770879249899619, 0.10631341489672821, 0.11451540572236427, -0.08213236393226732, 0.1491245738842765, -0.11215258624044157, 0.1879583982680674, 0.05632766846427193, 0.013503479924032925, 0.1376946718602251, 0.054239119513220684, 0.11773471464152618, 0.1371066025984023, -0.051220792515944406, -0.07493153821566813, -0.3389918085347901, -0.14298238057482948, -0.270784830331542, 0.1786462452803408, -0.19734527224687964, -0.1962155545310628, 0.3182506166068056, 0.08874537056231852, 0.21984803163877098, 0.17199782506432584, 0.2215011907360887, 0.17020701983397807, -0.011305760426987563, 0.09407494247200028, 0.08722289943546858, 0.2432492710049114, 0.06869434041937472, -0.12490884952187058, 0.017694267930002304, 0.1021494851047073] |
709.0037 | Steiner-Minkowski Polynomials of Convex Sets in High Dimension, and
Limit Entire Functions | For a convex set (K) of the (n)-dimensional Euclidean space, the
Steiner-Minkowski polynomial (M_K(t)) is defined as the (n)-dimensional
Euclidean volume of the neighborhood of the radius (t). Being defined for
positive (t), the Steiner-Minkowski polynomials are considered for all complex
(t). The renormalization procedure for Steiner polynomial is proposed. The
renormalized Steiner-Minkowski polynomials corresponding to all possible solid
convex sets in all dimensions form a normal family in the whole complex plane.
For each of the four families of convex sets: the Euclidean balls, the cubes,
the regular cross-polytopes and the regular symplexes of dimensions (n), the
limiting entire functions, as (n) tends to infinity, are calculated explicitly.
| math.CV math.MG | for a convex set k of the ndimensional euclidean space the steinerminkowski polynomial m_kt is defined as the ndimensional euclidean volume of the neighborhood of the radius t being defined for positive t the steinerminkowski polynomials are considered for all complex t the renormalization procedure for steiner polynomial is proposed the renormalized steinerminkowski polynomials corresponding to all possible solid convex sets in all dimensions form a normal family in the whole complex plane for each of the four families of convex sets the euclidean balls the cubes the regular crosspolytopes and the regular symplexes of dimensions n the limiting entire functions as n tends to infinity are calculated explicitly | [['for', 'a', 'convex', 'set', 'k', 'of', 'the', 'ndimensional', 'euclidean', 'space', 'the', 'steinerminkowski', 'polynomial', 'm_kt', 'is', 'defined', 'as', 'the', 'ndimensional', 'euclidean', 'volume', 'of', 'the', 'neighborhood', 'of', 'the', 'radius', 't', 'being', 'defined', 'for', 'positive', 't', 'the', 'steinerminkowski', 'polynomials', 'are', 'considered', 'for', 'all', 'complex', 't', 'the', 'renormalization', 'procedure', 'for', 'steiner', 'polynomial', 'is', 'proposed', 'the', 'renormalized', 'steinerminkowski', 'polynomials', 'corresponding', 'to', 'all', 'possible', 'solid', 'convex', 'sets', 'in', 'all', 'dimensions', 'form', 'a', 'normal', 'family', 'in', 'the', 'whole', 'complex', 'plane', 'for', 'each', 'of', 'the', 'four', 'families', 'of', 'convex', 'sets', 'the', 'euclidean', 'balls', 'the', 'cubes', 'the', 'regular', 'crosspolytopes', 'and', 'the', 'regular', 'symplexes', 'of', 'dimensions', 'n', 'the', 'limiting', 'entire', 'functions', 'as', 'n', 'tends', 'to', 'infinity', 'are', 'calculated', 'explicitly']] | [-0.15957756988117816, 0.12231075035352088, 0.0005153279786032659, 0.06349733452252285, -0.037209277420684146, -0.1019432659053968, -0.0033962463515948642, 0.30515828670037015, -0.28441784563646827, -0.18216325013242937, 0.10371183357373984, -0.3088382000914188, -0.11599764731040017, 0.16873690848135287, -0.036513544920900906, 0.10144116291862533, -0.020352029187725513, 0.10158091113488707, -0.11885194124490092, -0.34301627381420174, 0.34108418981648153, -0.0821321456503399, 0.18762576601606, -0.0010089697833690378, 0.10496999875747995, 0.022893225740753458, -0.008461799628329809, 0.07990180493598692, -0.15807713363837037, 0.10501946973791174, 0.27853294284324404, 0.14628745330480375, 0.2250531650044852, -0.3157635712996125, -0.16114764560134737, 0.20204894064442702, 0.15684003760193096, -0.012575587404339953, 0.06421008870798957, -0.2179757140369879, 0.08025776969562112, -0.06770186937690058, -0.21934331903078905, -0.053442028283758124, 0.0937867108074931, 0.029869299968359648, -0.2893099768380462, -0.0033830176926804363, 0.07680092260448469, 0.03970207063550198, -0.0672307841617752, -0.17662356938752863, -0.06007678904656873, 0.11757287150248885, -0.037859091134224504, 0.0977682741951732, 0.07146144588127586, -0.006173917161369765, -0.0774420856253494, 0.37398110630359344, -0.01050359575526306, -0.2848791092185787, 0.13151123566570244, -0.20168800336412257, -0.09453860935065206, 0.14190520960147734, 0.1522153174220067, 0.18342172318241662, -0.11099505347751633, 0.22039558841896467, -0.12308158298104967, 0.04757510453648003, 0.16362345675696377, 0.006140362695549373, 0.1324399755836499, 0.08085258863866329, 0.10868365520231978, 0.16834445748665733, -0.02652838894735194, -0.12075397900911479, -0.3708792465083577, -0.16914624541877182, -0.22398714760007957, 0.056315996692757365, -0.22768743820604329, -0.23462961081208455, 0.34226051281870307, -0.01840447841419114, 0.22502002440806892, 0.13703004196631136, 0.23225254424054315, 0.06834070269501859, 0.07722861489660486, 0.10530557435143877, 0.10719701145447928, 0.11867940612137318, 0.018895199996660703, -0.18158004957863508, -0.0011013337584531487, 0.17211575249934363] |
709.0038 | Experimental Consequences of Regular Charge-Monopole Electrodynamics | This work points out an application of the regular theory of charge-monopole
electrodynamics to the new experiments of very high energy. Using this theory,
it is explained why the new regions of high energy interactions that will be
explored by CERN's Large Hadron Collider may show a significant increase of the
cross section. This conclusion illustrates the significance of the extension of
electrodynamics that takes the form of the regular charge-monopole theory.
| physics.gen-ph | this work points out an application of the regular theory of chargemonopole electrodynamics to the new experiments of very high energy using this theory it is explained why the new regions of high energy interactions that will be explored by cerns large hadron collider may show a significant increase of the cross section this conclusion illustrates the significance of the extension of electrodynamics that takes the form of the regular chargemonopole theory | [['this', 'work', 'points', 'out', 'an', 'application', 'of', 'the', 'regular', 'theory', 'of', 'chargemonopole', 'electrodynamics', 'to', 'the', 'new', 'experiments', 'of', 'very', 'high', 'energy', 'using', 'this', 'theory', 'it', 'is', 'explained', 'why', 'the', 'new', 'regions', 'of', 'high', 'energy', 'interactions', 'that', 'will', 'be', 'explored', 'by', 'cerns', 'large', 'hadron', 'collider', 'may', 'show', 'a', 'significant', 'increase', 'of', 'the', 'cross', 'section', 'this', 'conclusion', 'illustrates', 'the', 'significance', 'of', 'the', 'extension', 'of', 'electrodynamics', 'that', 'takes', 'the', 'form', 'of', 'the', 'regular', 'chargemonopole', 'theory']] | [-0.12022573273457561, 0.1251152064346065, -0.12212034361841183, 0.11299671967733754, -0.03542174391461433, -0.08731161706641109, 0.020753877937547967, 0.2701634358511203, -0.23387265980838695, -0.2918698412573172, 0.029972924023038812, -0.28293410688638687, -0.13888815348036587, 0.19097919640545216, -0.025934336005270273, -0.0017511180032872492, 0.08053373984876089, 0.01742793789728441, -0.041431511532411806, -0.23107543405947378, 0.28899266940101775, 0.15715022276466092, 0.27546208267772776, 0.14392183364705285, 0.10067024892972161, -0.008367107948288321, 0.0019735433937360844, 0.07007123186485842, -0.07416659007079336, 0.1538705072258987, 0.27267750154391657, 0.1009593029351284, 0.2510062374898957, -0.42363675157280845, -0.19426981302806073, 0.08625084730253245, 0.12249151865641277, 0.10031163131093813, -0.09104318459705812, -0.25464541907422245, 0.08651429132765366, -0.21953862711476782, -0.18956188285180056, -0.07057611143682152, 0.006345605859274251, -0.02936961781880301, -0.22765114885340962, 0.043514218229878075, 0.041996148544260196, 0.04500927225065728, -0.019754376935048237, -0.09810065582213509, 0.012257533962838352, 0.03436601412249729, 0.058125610899878666, 0.025185603991202597, 0.1113129551263733, -0.1465660964378104, -0.1226563271225637, 0.36882048928075367, -0.051756607252173126, -0.14265287023348114, 0.16913235124633907, -0.20589032998800072, -0.1556879550917074, 0.14481398338749488, 0.19859291597579917, 0.10145975065016602, -0.13687081025111386, 0.150922813362235, -0.05594410828295319, 0.1737842953362916, 0.05588171156058605, 0.0033687325841229823, 0.23837350157878567, 0.20541350085598728, 0.013870628899894655, 0.1079007306656826, -0.07215278640958583, -0.08184823631826374, -0.4027435833898683, -0.16062565599309486, -0.15166306406414756, 0.05095949343619092, -0.06829079237973525, -0.13637042694932056, 0.37225173093611374, 0.16165558501153202, 0.22060795926437196, -0.01249167706959674, 0.2814706093114283, 0.1482085582619119, 0.09183223194243813, 0.0002550440361422564, 0.3199834012452306, 0.10699578530491433, 0.1159054084499884, -0.19793466202423182, -0.006202820064370624, 0.012125938904419955] |
709.0039 | Thermally Assisted Current-Driven Bistable Precessional Regimes in
Asymmetric Spin Valves | Spin-transfer torque in asymmetric spin valves can destabilize both parallel
and antiparallel configurations and can lead to precessional modes also in the
absence of an external magnetic field. We find a bistable precessional regime
in such systems and show that thermal fluctuations can excite transitions
(telegraph noise) between the corresponding oscillatory regimes that are well
separated by irreversible paths at low temperatures. Because of the thermally
induced transitions, the frequency of the resulting current-driven oscillations
is different from that obtained at very low temperatures. We also show that the
power spectrum in the bistable region is dominated by the out-of-plane
oscillatory mode.
| cond-mat.mes-hall | spintransfer torque in asymmetric spin valves can destabilize both parallel and antiparallel configurations and can lead to precessional modes also in the absence of an external magnetic field we find a bistable precessional regime in such systems and show that thermal fluctuations can excite transitions telegraph noise between the corresponding oscillatory regimes that are well separated by irreversible paths at low temperatures because of the thermally induced transitions the frequency of the resulting currentdriven oscillations is different from that obtained at very low temperatures we also show that the power spectrum in the bistable region is dominated by the outofplane oscillatory mode | [['spintransfer', 'torque', 'in', 'asymmetric', 'spin', 'valves', 'can', 'destabilize', 'both', 'parallel', 'and', 'antiparallel', 'configurations', 'and', 'can', 'lead', 'to', 'precessional', 'modes', 'also', 'in', 'the', 'absence', 'of', 'an', 'external', 'magnetic', 'field', 'we', 'find', 'a', 'bistable', 'precessional', 'regime', 'in', 'such', 'systems', 'and', 'show', 'that', 'thermal', 'fluctuations', 'can', 'excite', 'transitions', 'telegraph', 'noise', 'between', 'the', 'corresponding', 'oscillatory', 'regimes', 'that', 'are', 'well', 'separated', 'by', 'irreversible', 'paths', 'at', 'low', 'temperatures', 'because', 'of', 'the', 'thermally', 'induced', 'transitions', 'the', 'frequency', 'of', 'the', 'resulting', 'currentdriven', 'oscillations', 'is', 'different', 'from', 'that', 'obtained', 'at', 'very', 'low', 'temperatures', 'we', 'also', 'show', 'that', 'the', 'power', 'spectrum', 'in', 'the', 'bistable', 'region', 'is', 'dominated', 'by', 'the', 'outofplane', 'oscillatory', 'mode']] | [-0.22398804225411048, 0.29090746737775214, -0.041436746218880896, 0.020331879582383906, -0.025634570631618593, -0.12286189903833848, 0.017787674866507158, 0.385145877853182, -0.3069527120530313, -0.2825579249948336, 0.033488582116643004, -0.2502418484392704, -0.14012879273835935, 0.253178699325551, 0.01885935562113802, -0.07555056799787517, 0.013090948726041425, -0.02826083195966431, 0.0029129340523379108, -0.08512236009004946, 0.25846842005878845, 0.018059572898874096, 0.32317633092786896, 0.026272619133997782, 0.06237735141835669, -0.08372759236497622, 0.11962243044399656, 0.04752204154946787, -0.0984706898799392, -0.04921855078097068, 0.2566773680349191, -0.09480913061255991, 0.16535119359682807, -0.506255248360628, -0.19527467679832697, 0.085277888828012, 0.1892776035306537, 0.17434382668751128, -0.007496602897185321, -0.24516318124883316, 0.05118933378937928, -0.12297386714421651, -0.11237612695378416, -0.13186650664782992, 0.03578293207215657, 0.05766636974123471, -0.29571682585439846, 0.15119614518263524, 0.12281867300671544, 0.041390902508853696, -0.09190101493332609, -0.061848736893129995, -0.1168816763446575, 0.07756376130433351, 0.07344882596083277, 0.012920548020880305, 0.19190911440105707, -0.13159150458123609, -0.13278027326233832, 0.27961163339661615, -0.11733088388527725, -0.14390658053076444, 0.21488624755932273, -0.20989190882948391, -0.043225811584396104, 0.20954689447421068, 0.15330063790544027, 0.1044740909345302, -0.11873773151584079, 0.027073514966211992, 0.09248881331900609, 0.13746111228030322, 0.10517860378832648, 0.05579381826443269, 0.2905719417932571, 0.12168231445099867, 0.041952729882562864, 0.1786629675394472, -0.14417950677521088, -0.1056260518688599, -0.23586443516279698, -0.04833651340438747, -0.17059610771356543, 0.0477803825359682, -0.07812568162725987, -0.14199642209774432, 0.3915921285995008, 0.1506714468077738, 0.17256661614530958, -0.03074969820376924, 0.30825753323733807, 0.1727378981133156, 0.020959658771935924, 0.10730092698598609, 0.3193066218940943, 0.15107257890186326, 0.14037862447473934, -0.3570767018975982, 0.051592027074566074, -0.08552665019627004] |
709.004 | Comments on 'Controversy on a Dispersion Relation for MHD Waves' by
Chandra and Kumthekar | We comment on the work by Chandra and Kumthekar (2007, henceforth CK) which
is questionable. In the derivation of dispersion relation, CK neither invoke
the concept of vector space nor do they follow the basic criterion for the
elimination of perturbation terms under which the damped magnetoacoustic waves
are derived.
| astro-ph | we comment on the work by chandra and kumthekar 2007 henceforth ck which is questionable in the derivation of dispersion relation ck neither invoke the concept of vector space nor do they follow the basic criterion for the elimination of perturbation terms under which the damped magnetoacoustic waves are derived | [['we', 'comment', 'on', 'the', 'work', 'by', 'chandra', 'and', 'kumthekar', '2007', 'henceforth', 'ck', 'which', 'is', 'questionable', 'in', 'the', 'derivation', 'of', 'dispersion', 'relation', 'ck', 'neither', 'invoke', 'the', 'concept', 'of', 'vector', 'space', 'nor', 'do', 'they', 'follow', 'the', 'basic', 'criterion', 'for', 'the', 'elimination', 'of', 'perturbation', 'terms', 'under', 'which', 'the', 'damped', 'magnetoacoustic', 'waves', 'are', 'derived']] | [-0.15246390532322077, 0.11455432920032466, -0.08659264653426957, 0.10091704070539576, -0.16831072332451538, -0.09267027394808068, 0.0548367732256765, 0.33940273933872883, -0.20297430112615836, -0.2560870400344839, 0.12229863477975358, -0.20769061047431767, -0.19623571147724073, 0.177718893855297, -0.05596747047895072, -0.009486612711786007, 0.01452163071371615, 0.023484157436356252, -0.06220491333360955, -0.2459731363900462, 0.3693656926708562, 0.057517099897472224, 0.25821537402819617, 0.006500553352786798, 0.09107381000871917, 0.030399242587083458, -0.09260926367144803, -0.004589251618552003, -0.15726084687880107, 0.07518695847948595, 0.16138172634801237, 0.18970262589009138, 0.25287522950532787, -0.40329704087759766, -0.23506813711125632, 0.04830714102302279, 0.13825200569378782, 0.05594249488488885, 0.04711460007345114, -0.3021649708401184, 0.049860850242631774, -0.13452528619530554, -0.15038248580614372, -0.09966766747066333, 0.02893659966636677, 0.029574596365837723, -0.20839354168737725, 0.11764720522760584, 0.16327398973612153, 0.08532947805539078, -0.08952584072985516, -0.060234091111591885, -0.02503457752873703, 0.004999525673991563, 0.023823603773869727, 0.03508795704692602, 0.08017928395610378, -0.05684807731256801, -0.05981489113170882, 0.3844213814911794, -0.07967172813487752, -0.17944108002952167, 0.1924904939309903, -0.14291087148368967, -0.13011506017373534, 0.09003256280355308, 0.12372964799252091, 0.0881487511820635, -0.1142427204746981, 0.09532763588370527, -0.0929742157459259, 0.1409600366534171, 0.11199217896946535, 0.06065755918127846, 0.18917393041964697, 0.0056937289832882125, -0.003353636003840639, 0.04998917518449681, -0.04738266880585983, -0.06686548806004683, -0.35805119946599007, -0.14068443744386339, -0.16064118803003613, 0.014551321575263686, -0.03387801588616306, -0.2045859739716564, 0.33158585219168846, 0.1292113193823975, 0.13071225085580834, 0.056297494464420846, 0.261842851355976, 0.18028642417748972, 0.005337332204288366, 0.12928088665084572, 0.31209573550719993, 0.17103394950093814, 0.09731619395505713, -0.19223323602191345, 0.07146644368957804, 0.10574176886632126] |
709.0041 | Spectral Analysis of Central Stars of Planetary Nebulae | Spectral analysis by means of NLTE model atmospheres has presently arrived at
a high level of sophistication. High-resolution spectra of central stars of
planetary nebulae can be reproduced in detail from the infrared to the X-ray
wavelength range.
In the case of LSV +4621, the exciting star of Sh 2-216, we demonstrate the
state-of-the-art in the determination of photospheric properties like, e.g.,
effective temperature, surface gravity, and abundances of elements from
hydrogen to nickel. From such detailed model atmospheres, we can reliably
predict the ionizing spectrum of a central star which is a necessary input for
the precise analysis of its ambient nebula.
NLTE model-atmosphere spectra, however, are not only accessible for
specialists. In the framework of the German Astrophysical Virtual Observatory
(GAVO), we provide pre-calculated grids of tables with synthetic spectra of
hot, compact stars as well as a tool to calculate individual model-atmosphere
spectra in order to make the use of synthetic stellar spectra as easy as the
use of blackbody flux distributions had been in the last century.
| astro-ph | spectral analysis by means of nlte model atmospheres has presently arrived at a high level of sophistication highresolution spectra of central stars of planetary nebulae can be reproduced in detail from the infrared to the xray wavelength range in the case of lsv 4621 the exciting star of sh 2216 we demonstrate the stateoftheart in the determination of photospheric properties like eg effective temperature surface gravity and abundances of elements from hydrogen to nickel from such detailed model atmospheres we can reliably predict the ionizing spectrum of a central star which is a necessary input for the precise analysis of its ambient nebula nlte modelatmosphere spectra however are not only accessible for specialists in the framework of the german astrophysical virtual observatory gavo we provide precalculated grids of tables with synthetic spectra of hot compact stars as well as a tool to calculate individual modelatmosphere spectra in order to make the use of synthetic stellar spectra as easy as the use of blackbody flux distributions had been in the last century | [['spectral', 'analysis', 'by', 'means', 'of', 'nlte', 'model', 'atmospheres', 'has', 'presently', 'arrived', 'at', 'a', 'high', 'level', 'of', 'sophistication', 'highresolution', 'spectra', 'of', 'central', 'stars', 'of', 'planetary', 'nebulae', 'can', 'be', 'reproduced', 'in', 'detail', 'from', 'the', 'infrared', 'to', 'the', 'xray', 'wavelength', 'range', 'in', 'the', 'case', 'of', 'lsv', '4621', 'the', 'exciting', 'star', 'of', 'sh', '2216', 'we', 'demonstrate', 'the', 'stateoftheart', 'in', 'the', 'determination', 'of', 'photospheric', 'properties', 'like', 'eg', 'effective', 'temperature', 'surface', 'gravity', 'and', 'abundances', 'of', 'elements', 'from', 'hydrogen', 'to', 'nickel', 'from', 'such', 'detailed', 'model', 'atmospheres', 'we', 'can', 'reliably', 'predict', 'the', 'ionizing', 'spectrum', 'of', 'a', 'central', 'star', 'which', 'is', 'a', 'necessary', 'input', 'for', 'the', 'precise', 'analysis', 'of', 'its', 'ambient', 'nebula', 'nlte', 'modelatmosphere', 'spectra', 'however', 'are', 'not', 'only', 'accessible', 'for', 'specialists', 'in', 'the', 'framework', 'of', 'the', 'german', 'astrophysical', 'virtual', 'observatory', 'gavo', 'we', 'provide', 'precalculated', 'grids', 'of', 'tables', 'with', 'synthetic', 'spectra', 'of', 'hot', 'compact', 'stars', 'as', 'well', 'as', 'a', 'tool', 'to', 'calculate', 'individual', 'modelatmosphere', 'spectra', 'in', 'order', 'to', 'make', 'the', 'use', 'of', 'synthetic', 'stellar', 'spectra', 'as', 'easy', 'as', 'the', 'use', 'of', 'blackbody', 'flux', 'distributions', 'had', 'been', 'in', 'the', 'last', 'century']] | [0.004037868711322666, 0.08750255760595159, -0.0762351979065839, 0.1007460486014477, -0.0681580681903887, -0.06483530648928701, 0.03472590852291895, 0.422514316130277, -0.173120708240207, -0.3920277838992794, 0.06410313593577703, -0.2837123412540869, -0.01852136234785512, 0.2354689539608965, -0.045947932592274525, 0.01801537634288805, 0.09442981891334057, -0.02550210181895333, -0.021238381127494644, -0.1907151612788112, 0.2995981049835573, 0.12209787488811547, 0.16587190618275593, 0.027869245563007412, 0.016802651072411162, -0.07578124598550953, -0.0672495849430561, -0.009208275513091719, -0.1205809310606915, 0.08941293601218982, 0.25445389674757934, 0.14519680171186508, 0.15772562588044928, -0.40113200111129477, -0.26833027945586335, 0.032382693000094234, 0.15468792931735992, 0.07684025409895578, -0.0365494878864602, -0.21276590707221707, 0.060451740454147126, -0.20381730205068985, -0.1631722754924095, -0.052732488641526264, 0.016863210802102648, 0.04534932415202608, -0.2414396767401033, 0.02849082206835431, -0.017059884801349054, 0.1545604945035183, -0.10071003008211761, -0.14420884383954, -0.10167791549598373, 0.16970730206400853, -0.02123033543721887, -0.025385302361284726, 0.1359039832135303, -0.1214550031697628, -0.02521238213933307, 0.4616674765650379, -0.12782089806730962, -0.020511706297051662, 0.1861236499818532, -0.19848704856836744, -0.16334096379904894, 0.15249181898005787, 0.15983541357761238, 0.16152191604079122, -0.17432110085647706, 0.06498967939191252, -0.01380002762229122, 0.18444765712630157, 0.051996240536655074, 0.04259616006655913, 0.30253811717055173, 0.13400124758550058, -0.03385058068329937, 0.09625679372376844, -0.18981447327359205, -0.03137688040297631, -0.22258829578147296, -0.1422408097124065, -0.14541626669880417, 0.07618505515068652, -0.08521797894069595, -0.18551105170031432, 0.3788406068965662, 0.15456628901148706, 0.16113015146087312, -0.027762674633277393, 0.3452285880179346, 0.08982421467162408, 0.070175639443557, 0.06765839565621569, 0.2773932461812003, 0.1854954674211603, 0.1404475230650094, -0.21323610407338417, 0.05496682437133025, 0.0325981317195573] |
709.0042 | Two Higgs Bi-doublet Left-Right Model With Spontaneous P and CP
Violation | A left-right symmetric model with two Higgs bi-doublet is shown to be a
consistent model for both spontaneous P and CP violation. The flavor changing
neutral currents can be suppressed by the mechanism of approximate global U(1)
family symmetry. We calculate the constraints from neural $K$ meson mass
difference $\Delta m_K$ and demonstrate that a right-handed gauge boson $W_2$
contribution in box-diagrams with mass well below 1 TeV is allowed due to a
cancellation caused by a light charged Higgs boson with a mass range $150 \sim
300$ GeV. The $W_2$ contribution to $\epsilon_K$ can be suppressed from
appropriate choice of additional CP phases appearing in the right-handed
Cabbibo-Kobayashi-Maskawa matrix. The model is also found to be fully
consistent with $B^0$ mass difference $\Delta m_B$, and the mixing-induced CP
violation quantity $\sin2\beta_{J/\psi}$, which is usually difficult for the
model with only one Higgs bi-doublet. The new physics beyond the standard model
can be directly searched at the colliders LHC and ILC.
| hep-ph | a leftright symmetric model with two higgs bidoublet is shown to be a consistent model for both spontaneous p and cp violation the flavor changing neutral currents can be suppressed by the mechanism of approximate global u1 family symmetry we calculate the constraints from neural k meson mass difference delta m_k and demonstrate that a righthanded gauge boson w_2 contribution in boxdiagrams with mass well below 1 tev is allowed due to a cancellation caused by a light charged higgs boson with a mass range 150 sim 300 gev the w_2 contribution to epsilon_k can be suppressed from appropriate choice of additional cp phases appearing in the righthanded cabbibokobayashimaskawa matrix the model is also found to be fully consistent with b0 mass difference delta m_b and the mixinginduced cp violation quantity sin2beta_jpsi which is usually difficult for the model with only one higgs bidoublet the new physics beyond the standard model can be directly searched at the colliders lhc and ilc | [['a', 'leftright', 'symmetric', 'model', 'with', 'two', 'higgs', 'bidoublet', 'is', 'shown', 'to', 'be', 'a', 'consistent', 'model', 'for', 'both', 'spontaneous', 'p', 'and', 'cp', 'violation', 'the', 'flavor', 'changing', 'neutral', 'currents', 'can', 'be', 'suppressed', 'by', 'the', 'mechanism', 'of', 'approximate', 'global', 'u1', 'family', 'symmetry', 'we', 'calculate', 'the', 'constraints', 'from', 'neural', 'k', 'meson', 'mass', 'difference', 'delta', 'm_k', 'and', 'demonstrate', 'that', 'a', 'righthanded', 'gauge', 'boson', 'w_2', 'contribution', 'in', 'boxdiagrams', 'with', 'mass', 'well', 'below', '1', 'tev', 'is', 'allowed', 'due', 'to', 'a', 'cancellation', 'caused', 'by', 'a', 'light', 'charged', 'higgs', 'boson', 'with', 'a', 'mass', 'range', '150', 'sim', '300', 'gev', 'the', 'w_2', 'contribution', 'to', 'epsilon_k', 'can', 'be', 'suppressed', 'from', 'appropriate', 'choice', 'of', 'additional', 'cp', 'phases', 'appearing', 'in', 'the', 'righthanded', 'cabbibokobayashimaskawa', 'matrix', 'the', 'model', 'is', 'also', 'found', 'to', 'be', 'fully', 'consistent', 'with', 'b0', 'mass', 'difference', 'delta', 'm_b', 'and', 'the', 'mixinginduced', 'cp', 'violation', 'quantity', 'sin2beta_jpsi', 'which', 'is', 'usually', 'difficult', 'for', 'the', 'model', 'with', 'only', 'one', 'higgs', 'bidoublet', 'the', 'new', 'physics', 'beyond', 'the', 'standard', 'model', 'can', 'be', 'directly', 'searched', 'at', 'the', 'colliders', 'lhc', 'and', 'ilc']] | [-0.09233506568577372, 0.2873065835327743, -0.0032115584840963344, 0.1558961877281205, -0.11029051049317447, -0.23326285569841818, 0.05325212897819623, 0.3234629855369744, -0.2763561389686667, -0.3091896623257339, 0.041004804132205454, -0.2847345802985039, -0.016446647355737892, 0.11100530512023556, 0.0521270690069343, 0.03275130353636623, 0.016540852874974424, -0.00010530725237190353, -0.09295282961355279, -0.18708610275408877, 0.25226900471455377, -0.009859086049038061, 0.19564702013010007, 0.10252584472894437, 0.04054814758450256, -0.04776206122919547, -0.00951703541298608, -0.06600276081423674, -0.07812663601728204, 0.03334736060177595, 0.16081094903501203, 0.05433837189310178, 0.09400730808945199, -0.28812747002110717, -0.11587847641998937, 0.2161180028946411, 0.1553775521909228, 0.08287094438503502, -0.0660572439072052, -0.3406307372114164, 0.1267722931094699, -0.22458260528662283, -0.11581858619830647, -0.041152326056085854, -0.039601900033444534, -0.13922314148364437, -0.3958685479317763, 0.13548774226631546, -0.06411050830935909, 0.006646156421665866, 0.03463744100397279, -0.18704061901995114, -0.0918110409340827, -0.032346013678897244, 0.17627294095101484, 0.09479138572405306, 0.14734880578261655, -0.15628815526489792, -0.13354615817968704, 0.4403822990723666, -0.10823528225655141, -0.18980842196058645, 0.12798382074901868, -0.1717593720077388, -0.12173490482527091, 0.14640934225345342, 0.16317586486823626, 0.05949339875806794, -0.2101395210910658, 0.1677146642642408, -0.05449778743642122, 0.19426695943118785, 0.03627630831855957, 0.047459930217657126, 0.29169946450231055, 0.16668168303227018, 0.06592799440570037, 0.027526432349670515, -0.06660881160609482, -0.06069809027733455, -0.4104648656356409, -0.0978660098340663, -0.08211726084733324, 0.0661652853990101, -0.07909007853161694, -0.019165698863147982, 0.3907174438495559, 0.10910938691668884, 0.2573349055203592, 0.02056676243440543, 0.2832059873187024, 0.11091617061771013, 0.13452779854537908, 0.03937316108610689, 0.3125693063361582, 0.17795836223543893, 0.10774626255131027, -0.2565853708244351, 0.0077914165373405685, 0.06814294765986827] |
709.0043 | SUSY-QCD Corrections to Dark Matter Annihilation in the Higgs Funnel | We compute the full O(alpha_s) SUSY-QCD corrections to dark matter
annihilation in the Higgs-funnel, resumming potentially large mu tan beta and
A_b contributions and keeping all finite O(m_b,s,1/tan^2 beta) terms. We
demonstrate numerically that these corrections strongly influence the
extraction of SUSY mass parameters from cosmological data and must therefore be
included in common analysis tools such as DarkSUSY or micrOMEGAs.
| hep-ph astro-ph | we compute the full oalpha_s susyqcd corrections to dark matter annihilation in the higgsfunnel resumming potentially large mu tan beta and a_b contributions and keeping all finite om_bs1tan2 beta terms we demonstrate numerically that these corrections strongly influence the extraction of susy mass parameters from cosmological data and must therefore be included in common analysis tools such as darksusy or micromegas | [['we', 'compute', 'the', 'full', 'oalpha_s', 'susyqcd', 'corrections', 'to', 'dark', 'matter', 'annihilation', 'in', 'the', 'higgsfunnel', 'resumming', 'potentially', 'large', 'mu', 'tan', 'beta', 'and', 'a_b', 'contributions', 'and', 'keeping', 'all', 'finite', 'om_bs1tan2', 'beta', 'terms', 'we', 'demonstrate', 'numerically', 'that', 'these', 'corrections', 'strongly', 'influence', 'the', 'extraction', 'of', 'susy', 'mass', 'parameters', 'from', 'cosmological', 'data', 'and', 'must', 'therefore', 'be', 'included', 'in', 'common', 'analysis', 'tools', 'such', 'as', 'darksusy', 'or', 'micromegas']] | [-0.0656958488013469, 0.17512255196727938, -0.03762396178760771, 0.1565677024645068, -0.06173147539750247, -0.12786312990079998, -0.0030037091918668503, 0.28910158610886943, -0.22445973731829957, -0.303894638794206, 0.06916061245394334, -0.31879748928092294, -0.028047497861750297, 0.1819595259937884, 0.04413789888780754, 0.0901514768632034, 0.03888755705665355, -0.05340230326026173, -0.07183981553051558, -0.24801257162717943, 0.3004980794454025, 0.06194619572389934, 0.15202206270611388, 0.14139931019932284, 0.004275264851827869, -0.00816719869341133, -0.13279235902068726, -0.014827584532105316, -0.20358915755318543, 0.022715629216567692, 0.24194514056888677, 0.0543543746758063, 0.11982129083678, -0.3599591569627746, -0.13328999973896702, 0.15656963391703063, 0.18606429490244994, 0.09739524368354577, -0.03008478309296198, -0.2539104429720822, 0.09519220972275835, -0.2714079252712555, -0.11343337303437924, -0.15469927010836743, -0.01140075718384173, -0.043915450809744454, -0.33826569161551484, 0.05716558418757582, -0.045299148605347186, -0.08430761117803848, 0.0064203319913249905, -0.19424684877681025, -0.049616443885143025, 0.10242258153966297, 0.12175792352280627, -0.03256636049787877, 0.20196579433030495, -0.20247681389988983, -0.07773513947929239, 0.4382136116846133, -0.10535045167020822, -0.19880169139133166, 0.11714771721448938, -0.18539172938188253, -0.18569001339975807, 0.13881799910154383, 0.18436546809971333, 0.08368745605684265, -0.14127572337007624, 0.2211530462442108, 0.0816330420390024, 0.1731080748772217, 0.08851770188470008, 0.07053951124297612, 0.2239639187010668, 0.10233207743109787, -0.02359716377962949, 0.042239631169033634, -0.09718157695132797, -0.05493315264298502, -0.4202548590630798, -0.10867154879211369, -0.08472181475618697, 0.031140417770198468, -0.13614581330305447, -0.16909098770406286, 0.3344970590166621, 0.1531288710075541, 0.18513755045704922, 0.0338775958013484, 0.3361841902349902, 0.0853512371570598, 0.1232661886487977, 0.04487623076222963, 0.2699516930033342, 0.10266295054895898, 0.042077759403135566, -0.2855807598482944, -0.021059793349102896, 0.05613428605246847] |
709.0044 | Can the anomaly cancellation method derive a correct Hawking temperature
of a Schwarzschild black hole in the isotropic coordinates ? | This paper has been withdrawn by the authors due to an incorrect statement on
the viability of the Robinson-Wilczek method when applied to the case when the
metric determinant vanishes at the horizon. This paper has been replaced by
arXiv:0803.1338 [hep-th].
| hep-th gr-qc | this paper has been withdrawn by the authors due to an incorrect statement on the viability of the robinsonwilczek method when applied to the case when the metric determinant vanishes at the horizon this paper has been replaced by arxiv08031338 hepth | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'due', 'to', 'an', 'incorrect', 'statement', 'on', 'the', 'viability', 'of', 'the', 'robinsonwilczek', 'method', 'when', 'applied', 'to', 'the', 'case', 'when', 'the', 'metric', 'determinant', 'vanishes', 'at', 'the', 'horizon', 'this', 'paper', 'has', 'been', 'replaced', 'by', 'arxiv08031338', 'hepth']] | [-0.07426790352910757, 0.016203057309394354, -0.10010170690948143, 0.003425763692939654, -0.06867324753839057, -0.09167167190462351, 0.0045346546568907796, 0.3090854400768876, -0.21434993455186485, -0.2735180142801255, 0.13107085949741304, -0.29699443010613324, -0.160749080684036, 0.13959225662983954, -0.1933756812941283, 0.06045463625341654, 0.014202990476042033, 0.06239648251794279, -0.05087425066158176, -0.37043816176010297, 0.40013587968423964, 0.14979682113043963, 0.2910992971621454, 0.14569307200144976, 0.08039301263634116, -0.0034584922948852183, -0.002169256052002311, 0.04424123503267765, -0.13297174316830934, 0.05849318653345108, 0.20216147601604462, 0.05464831015560776, 0.3510658800718375, -0.3913139123469591, -0.2165393888950348, 0.15416746051050723, 0.17708112951368093, 0.1324343736981973, -0.02228080799395684, -0.32692586485645736, 0.16627618484199047, -0.2316633092239499, -0.15496100764721632, -0.015182788576930761, 0.0823169348295778, -0.15027699335478245, -0.16160394304897635, 0.036198220145888624, 0.10659123733639717, 0.07764422390609979, -0.026127239520428704, -0.09642055919393897, 0.04331807810813189, 0.0929118115294841, 0.21361995385959745, 0.10495234357658774, 0.03505332074128091, -0.05315355750499293, -0.07523558455286547, 0.35159744042903185, -0.02682525562122464, -0.24737940365448594, 0.1040996877476573, -0.07750115728267701, -0.12553119999356568, 0.1034627866698429, 0.11010708731337218, 0.14782843888970093, -0.17284562964123323, 0.20716581544256768, -0.02329421038739383, 0.11986707197502255, 0.1441249228781089, -0.08167275089072064, 0.17947968340013176, 0.09972811260959133, 0.021067516040056945, 0.1957802738295868, -0.03275650396826677, -0.037283905595541, -0.27749371053650973, -0.1590693675694638, -0.2491460741031915, 0.07000469667837024, 0.045434292405843735, -0.10399433735292404, 0.36256406689062715, 0.1850440721027553, 0.14331513651559363, 0.012061000987887382, 0.29318523667752744, 0.1916572254122002, 0.07120960091706366, 0.02793088068719953, 0.2981887752190232, 0.12987728320294992, 0.1608454584260471, -0.16363752949982882, 0.1317378576961346, 0.1509827404282987] |
709.0045 | First robotic monitoring of a lensed quasar: intrinsic variability of
SBS 0909+532 | To go into the details about the variability of the double quasar SBS
0909+532, we designed a monitoring programme with the 2 m Liverpool Robotic
Telescope in the r Sloan filter, spanning 1.5 years from 2005 January to 2006
June. The r-band light curves of the A and B components, several
cross-correlation techniques and a large number of simulations (synthetic light
curves) lead to a robust delay of 49 +/- 6 days (1-sigma interval) that agrees
with our previous results (the B component is leading). Once the time delay and
the magnitude offset are known, the magnitude- and time-shifted light curve of
image A is subtracted from the light curve of image B. This difference light
curve of SBS 0909+532 is consistent with zero, so any possible extrinsic signal
must be very weak, i.e., the observed variability in A and B is basically due
to observational noise and intrinsic signal. We then make the combined light
curve and analyse its statistical properties (structure functions). The
structure function of the intrinsic luminosity is fitted to predictions of
simple models of two physical scenarios: accretion disc instabilities and
nuclear starbursts. Although no simple model is able to accurately reproduce
the observed trend, symmetric triangular flares in an accretion disc seems to
be the best option to account for it.
| astro-ph | to go into the details about the variability of the double quasar sbs 0909532 we designed a monitoring programme with the 2 m liverpool robotic telescope in the r sloan filter spanning 15 years from 2005 january to 2006 june the rband light curves of the a and b components several crosscorrelation techniques and a large number of simulations synthetic light curves lead to a robust delay of 49 6 days 1sigma interval that agrees with our previous results the b component is leading once the time delay and the magnitude offset are known the magnitude and timeshifted light curve of image a is subtracted from the light curve of image b this difference light curve of sbs 0909532 is consistent with zero so any possible extrinsic signal must be very weak ie the observed variability in a and b is basically due to observational noise and intrinsic signal we then make the combined light curve and analyse its statistical properties structure functions the structure function of the intrinsic luminosity is fitted to predictions of simple models of two physical scenarios accretion disc instabilities and nuclear starbursts although no simple model is able to accurately reproduce the observed trend symmetric triangular flares in an accretion disc seems to be the best option to account for it | [['to', 'go', 'into', 'the', 'details', 'about', 'the', 'variability', 'of', 'the', 'double', 'quasar', 'sbs', '0909532', 'we', 'designed', 'a', 'monitoring', 'programme', 'with', 'the', '2', 'm', 'liverpool', 'robotic', 'telescope', 'in', 'the', 'r', 'sloan', 'filter', 'spanning', '15', 'years', 'from', '2005', 'january', 'to', '2006', 'june', 'the', 'rband', 'light', 'curves', 'of', 'the', 'a', 'and', 'b', 'components', 'several', 'crosscorrelation', 'techniques', 'and', 'a', 'large', 'number', 'of', 'simulations', 'synthetic', 'light', 'curves', 'lead', 'to', 'a', 'robust', 'delay', 'of', '49', '6', 'days', '1sigma', 'interval', 'that', 'agrees', 'with', 'our', 'previous', 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'starbursts', 'although', 'no', 'simple', 'model', 'is', 'able', 'to', 'accurately', 'reproduce', 'the', 'observed', 'trend', 'symmetric', 'triangular', 'flares', 'in', 'an', 'accretion', 'disc', 'seems', 'to', 'be', 'the', 'best', 'option', 'to', 'account', 'for', 'it']] | [-0.08832729904787373, 0.06696122266085122, -0.12354080228100496, 0.09655709440563374, -0.11171793752280926, -0.1366030756991542, 0.05513915216714075, 0.42345032734899885, -0.2329231337412407, -0.3439301150911315, 0.11770521633109267, -0.3036929356447352, -0.09676513180858348, 0.22187697139991172, -0.07767365946535763, 0.028046535843006697, 0.0652924729883024, -0.0500548931390599, -0.04349518730655459, -0.2649215748576723, 0.24617761684391923, 0.04852466831626198, 0.21498994619927275, -0.02305582110205217, 0.07967743261542637, -0.02686147184188788, -0.08912073050116844, -0.01920115562474907, -0.10064878711855946, 0.062141046130650295, 0.20536634103143148, 0.10957374567321192, 0.1817995993683494, -0.3612077218195837, -0.20202869821891742, 0.11184083451829523, 0.09914326550912207, 0.04333634139254206, 0.0011304681258345092, -0.23489523631373974, 0.049957693675188, -0.14730729631372486, -0.15577366237994283, 0.025020045096257323, 0.08582415287188876, 0.010221066713151468, -0.2526277623735411, 0.07079626794438809, 0.03821993499338903, 0.07687616857475843, -0.07096980591638756, -0.08991855773449599, -0.056662808979227625, 0.10252272587806349, 0.0518587324310189, 0.09002348860613657, 0.11612173461644151, -0.10011409053037858, -0.07432332620481719, 0.39116610030544474, -0.09066022203855768, -0.04687592190479067, 0.16867028238764895, -0.17836466610552398, -0.08669169854665934, 0.17782154292864208, 0.18528692292791135, 0.07700662271316913, -0.15382966938853282, 0.03751520097042279, -0.017135631840641576, 0.24003463066819003, 0.018488523052332714, 0.01886449554445722, 0.24337706682099788, 0.1277140379695791, 0.010895140802117734, 0.08236064464694613, -0.19239010566121173, -0.03823487563204253, -0.2769725484874841, -0.07431248366548163, -0.12127411938962285, 0.07130054921705138, -0.109539657267979, -0.10433637882670155, 0.4163657294594924, 0.09543359844246879, 0.24727277392607735, 0.04496090232633934, 0.3184627641932349, 0.10255311581109978, 0.08444712224041319, 0.08517786413021558, 0.31210470869673707, 0.15011289371802747, 0.10154562269302982, -0.2180780555801768, 0.05134229767739911, -0.014583059541311942] |
709.0046 | Dark matter as a geometric effect in f(R) gravity | We consider the behavior of the tangential velocity of test particles moving
in stable circular orbits in f(R) modified theories of gravity. A large number
of observations at the galactic scale have shown that the rotational velocities
of massive test particles (hydrogen clouds) tend towards constant values at
large distances from the galactic center. We analyze the vacuum gravitational
field equations in f(R) models in the constant velocity region, and the general
form of the metric tensor is derived in a closed form. The resulting
modification of the Einstein-Hilbert Lagrangian is of the form R^{1+n}, with
the parameter n expressed in terms of the tangential velocity. Therefore we
find that to explain the motion of test particles around galaxies requires only
very mild deviations from classical general relativity, and that modified
gravity can explain the galactic dynamics without the need of introducing dark
matter.
| gr-qc astro-ph | we consider the behavior of the tangential velocity of test particles moving in stable circular orbits in fr modified theories of gravity a large number of observations at the galactic scale have shown that the rotational velocities of massive test particles hydrogen clouds tend towards constant values at large distances from the galactic center we analyze the vacuum gravitational field equations in fr models in the constant velocity region and the general form of the metric tensor is derived in a closed form the resulting modification of the einsteinhilbert lagrangian is of the form r1n with the parameter n expressed in terms of the tangential velocity therefore we find that to explain the motion of test particles around galaxies requires only very mild deviations from classical general relativity and that modified gravity can explain the galactic dynamics without the need of introducing dark matter | [['we', 'consider', 'the', 'behavior', 'of', 'the', 'tangential', 'velocity', 'of', 'test', 'particles', 'moving', 'in', 'stable', 'circular', 'orbits', 'in', 'fr', 'modified', 'theories', 'of', 'gravity', 'a', 'large', 'number', 'of', 'observations', 'at', 'the', 'galactic', 'scale', 'have', 'shown', 'that', 'the', 'rotational', 'velocities', 'of', 'massive', 'test', 'particles', 'hydrogen', 'clouds', 'tend', 'towards', 'constant', 'values', 'at', 'large', 'distances', 'from', 'the', 'galactic', 'center', 'we', 'analyze', 'the', 'vacuum', 'gravitational', 'field', 'equations', 'in', 'fr', 'models', 'in', 'the', 'constant', 'velocity', 'region', 'and', 'the', 'general', 'form', 'of', 'the', 'metric', 'tensor', 'is', 'derived', 'in', 'a', 'closed', 'form', 'the', 'resulting', 'modification', 'of', 'the', 'einsteinhilbert', 'lagrangian', 'is', 'of', 'the', 'form', 'r1n', 'with', 'the', 'parameter', 'n', 'expressed', 'in', 'terms', 'of', 'the', 'tangential', 'velocity', 'therefore', 'we', 'find', 'that', 'to', 'explain', 'the', 'motion', 'of', 'test', 'particles', 'around', 'galaxies', 'requires', 'only', 'very', 'mild', 'deviations', 'from', 'classical', 'general', 'relativity', 'and', 'that', 'modified', 'gravity', 'can', 'explain', 'the', 'galactic', 'dynamics', 'without', 'the', 'need', 'of', 'introducing', 'dark', 'matter']] | [-0.14916480436659185, 0.14012698935079648, -0.09562512925670792, 0.07379564429639787, -0.08391280135967666, -0.10056905626455166, -0.03683988820739614, 0.2885233331439344, -0.21686413603472626, -0.3216925540732013, -0.0022480058259033184, -0.22790476891289776, -0.06973175527107539, 0.14774834265052858, -0.02502748147178914, -0.01234423081758804, 0.02383513640314858, 0.055964027325292896, -0.0657606037582607, -0.21058532002239694, 0.3345469027699437, 0.06899057407604738, 0.19449623693556836, -0.035984352729024574, 0.1223477000862153, -0.0806919765826832, -0.015198300366238173, 0.08284128891601641, -0.14874052643664173, 0.06562191621115845, 0.1692915585682739, 0.0907980438399439, 0.23106726935980582, -0.43095062206137097, -0.2258124368414024, 0.1061038398604271, 0.14727069444618085, 0.13497570197473074, -0.0670614758952676, -0.2836357281388094, 0.06493475274085843, -0.1476654955088937, -0.23168579584065205, -0.014426236894602576, 0.04019670552305696, 0.021847472126763832, -0.22499776925219017, 0.13029505342193362, 0.02065217835802792, 0.025341275781910453, -0.09928017685241583, -0.0852595144509299, -0.025892539913507387, 0.05450301262155537, 0.11807193413470587, 0.034838415543264195, 0.18272617333503957, -0.1748275312388109, -0.01213186284682403, 0.469085988899072, -0.14367948027534616, -0.20329064389807172, 0.16519055104274433, -0.21789258578792214, -0.14560201504435907, 0.12088974320795387, 0.19282412669336838, 0.14374269051606664, -0.13371095389852095, 0.13981292639881657, -0.028719620774306048, 0.1284917039706165, 0.10493930810803755, 0.004814954478610566, 0.29387242023626137, 0.05020151490559025, 0.04521180627408386, 0.08693763257987383, -0.15480043496225132, -0.1165847044822941, -0.33527513171429746, -0.1466938365289631, -0.13328814075470696, 0.03931996980585003, -0.17527661236474362, -0.13361657375349345, 0.32572863782115746, 0.1054772959933972, 0.18418651941505637, 0.09142940601385716, 0.25436102386124226, 0.08992605532936675, 0.09465079357162015, 0.1209225990945318, 0.34336227935596575, 0.1430809899724813, 0.07680910494592455, -0.2459776414228448, 0.013455321957331358, 0.04674043301444423] |
709.0047 | Quantum Informational Dark Energy: Dark energy from forgetting | We suggest that dark energy has a quantum informational origin. Landauer's
principle associated with the erasure of quantum information at a cosmic
horizon implies the non-zero vacuum energy having effective negative pressure.
Assuming the holographic principle, the minimum free energy condition, and the
Gibbons-Hawking temperature for the cosmic event horizon we obtain the
holographic dark energy with the parameter $d\simeq 1$, which is consistent
with the current observational data. It is also shown that both the
entanglement energy and the horizon energy can be related to Landauer's
principle.
| hep-th astro-ph quant-ph | we suggest that dark energy has a quantum informational origin landauers principle associated with the erasure of quantum information at a cosmic horizon implies the nonzero vacuum energy having effective negative pressure assuming the holographic principle the minimum free energy condition and the gibbonshawking temperature for the cosmic event horizon we obtain the holographic dark energy with the parameter dsimeq 1 which is consistent with the current observational data it is also shown that both the entanglement energy and the horizon energy can be related to landauers principle | [['we', 'suggest', 'that', 'dark', 'energy', 'has', 'a', 'quantum', 'informational', 'origin', 'landauers', 'principle', 'associated', 'with', 'the', 'erasure', 'of', 'quantum', 'information', 'at', 'a', 'cosmic', 'horizon', 'implies', 'the', 'nonzero', 'vacuum', 'energy', 'having', 'effective', 'negative', 'pressure', 'assuming', 'the', 'holographic', 'principle', 'the', 'minimum', 'free', 'energy', 'condition', 'and', 'the', 'gibbonshawking', 'temperature', 'for', 'the', 'cosmic', 'event', 'horizon', 'we', 'obtain', 'the', 'holographic', 'dark', 'energy', 'with', 'the', 'parameter', 'dsimeq', '1', 'which', 'is', 'consistent', 'with', 'the', 'current', 'observational', 'data', 'it', 'is', 'also', 'shown', 'that', 'both', 'the', 'entanglement', 'energy', 'and', 'the', 'horizon', 'energy', 'can', 'be', 'related', 'to', 'landauers', 'principle']] | [-0.15956587464924352, 0.20247055660001934, -0.14919375436676835, 0.14651004467635753, -0.1000314638314938, -0.13066654925403948, 0.01990344652652063, 0.2772129639131229, -0.25262871145440097, -0.3341650157235563, 0.08392080501124094, -0.2888227546248924, 0.00701749708969146, 0.16774706350935792, -0.04166802096138285, 0.06097472086548805, 0.02238907303068448, 0.1327774520243772, -0.03044360341102054, -0.21284443741156298, 0.349120416466824, 0.193887810659362, 0.32434155801059783, 0.16862991623135962, 0.1750848527894546, -0.015445572191807018, 0.039702033277452836, 0.06838303076272662, -0.22884693304959827, 0.0676739641031335, 0.23931321458869867, 0.12685370799789036, 0.1925084449043921, -0.3998532685112547, -0.28349506006237457, 0.1642967939419164, 0.04553727098126811, 0.14542710342125661, -0.06135861378755759, -0.23419871384976432, 0.04820101484537273, -0.19053814809409564, -0.13825769467406313, 0.001617781616832045, -0.04044908257624642, -0.049853434746513485, -0.2191955888199366, 0.16751401080943074, 0.014145419467240572, -0.047583678980696605, -0.11992317824412814, -0.044085486268159, -0.051495011493732985, 0.01332887665590864, 0.09417003703790462, 0.020897047645782797, 0.15697878193300727, -0.09155457142994484, -0.09212957740634341, 0.32258458707788534, -0.06141255713142031, -0.11863755392418666, 0.12266253745871257, -0.13438185145655138, -0.06711539980659093, 0.11793333805822344, 0.04336187537939457, 0.04692373893075538, -0.14966091253815897, 0.1339563964270796, 0.013866682608336718, 0.15732368666001342, 0.06763640118879266, 0.11063906899653375, 0.316127006387846, 0.08475870121831329, 0.09973633563442325, 0.11773459321094296, -0.10437695702752205, -0.1141378565119918, -0.390974024458873, -0.2069664232760922, -0.2456093916976401, 0.10836491816338491, -0.1811944414403115, -0.10554830553850149, 0.31321945356797765, 0.11402402045099404, 0.15434949367243628, 0.07210020180288913, 0.2886320459233089, 0.1668173618276011, 0.07060019661333751, 0.14431162106550552, 0.3023919571212239, 0.09313753071050583, 0.14889251858800312, -0.29469820100348443, 0.005789827788248658, 0.028051504748873413] |
709.0048 | The Ramsey number for a triple of large cycles | We find the asymptotic value of the Ramsey number for a triple of long
cycles, where the lengths of the cycles are large but may have different
parity.
| math.CO | we find the asymptotic value of the ramsey number for a triple of long cycles where the lengths of the cycles are large but may have different parity | [['we', 'find', 'the', 'asymptotic', 'value', 'of', 'the', 'ramsey', 'number', 'for', 'a', 'triple', 'of', 'long', 'cycles', 'where', 'the', 'lengths', 'of', 'the', 'cycles', 'are', 'large', 'but', 'may', 'have', 'different', 'parity']] | [-0.2729884043718422, 0.23678053060679563, -0.06953478392512936, 0.05093354771711996, 0.013344023060718817, -0.08353095822634973, 0.05579722226996507, 0.322684752621821, -0.24782364336507662, -0.34676147372062716, 0.13800809477522438, -0.21728925433542048, -0.07877062320975321, 0.17898237420013174, -0.036540845508820245, 0.030825947311573794, 0.08807873488071241, 0.14267213788947888, -0.00911108183208853, -0.24109575105831027, 0.2891978717276028, -0.0179533372367067, 0.1953428037730711, 0.041691114560567906, 0.03383678251079151, 0.013313141917543752, 0.012475563778675028, 0.059672171116939614, -0.1429586937052331, 0.050092698191292584, 0.2209802782163024, 0.10197170667483338, 0.24736050150490232, -0.4581603226917131, -0.14576733910611697, 0.1974845746299252, 0.10863579408864357, 0.17509305590231503, 0.061379629686208706, -0.15786631012867605, 0.13105667261074164, -0.13279648362159996, -0.10277475064088192, -0.03984191321900913, 0.128255812617551, 0.12778667686507106, -0.25854299742994563, -0.0007252196124422231, 0.044818053471057544, 0.09737007030551988, 0.053651566874967624, -0.18803472037793004, -0.0070345287676900625, 0.20077222304618253, 0.09393075926761542, -0.09303673182148486, 0.0053161586401984096, -0.12887525232508779, -0.12745524922917997, 0.3186474237591028, -0.060438453153307946, -0.09415818152150937, 0.17732235395149992, -0.17995341654334748, -0.17460582031136646, 0.13097784289025835, 0.10793078877031803, 0.17197374513904964, -0.0630577888472804, 0.06978817031319652, -0.10273864399641752, 0.1437290103307792, 0.14469120606580482, 0.11594266407856983, 0.24233384074510209, 0.1299124298883336, 0.0985117334889115, 0.13442421704530716, -0.14171924601708139, -0.10398425308189221, -0.2807477326797588, -0.11572221763032887, -0.1430856964018728, 0.1112484139656382, -0.16705876044995552, -0.2092521186319313, 0.4068712681265814, 0.083763866589704, 0.24743939437238233, 0.09892640449106693, 0.21649806294590235, 0.15344644703769258, 0.1328333214457546, 0.05304516209954662, 0.26328856591135263, 0.11045349815062114, 0.015895328295300715, -0.25264295609667897, 0.0513110995192879, 0.06747032435876983] |
709.0049 | On the possibility of P-violation at finite baryon-number densities | We show how the introduction of a finite baryon density may trigger
spontaneous parity violation in the hadronic phase of QCD. Since this involves
strong interaction physics in an intermediate energy range we approximate QCD
by a \sigma model that retains the two lowest scalar and pseudoscalar
multiplets. We propose a novel mechanism based on interplay between lightest
and heavy meson states which cannot be realized solely in the Goldstone boson
(pion) sector and thereby is unrelated to the one advocated by Migdal some time
ago. Our approach is relevant for dense matter in an intermediate regime of few
nuclear densities where quark percolation does not yet play a significant role.
| hep-ph astro-ph hep-lat hep-th nucl-th | we show how the introduction of a finite baryon density may trigger spontaneous parity violation in the hadronic phase of qcd since this involves strong interaction physics in an intermediate energy range we approximate qcd by a sigma model that retains the two lowest scalar and pseudoscalar multiplets we propose a novel mechanism based on interplay between lightest and heavy meson states which cannot be realized solely in the goldstone boson pion sector and thereby is unrelated to the one advocated by migdal some time ago our approach is relevant for dense matter in an intermediate regime of few nuclear densities where quark percolation does not yet play a significant role | [['we', 'show', 'how', 'the', 'introduction', 'of', 'a', 'finite', 'baryon', 'density', 'may', 'trigger', 'spontaneous', 'parity', 'violation', 'in', 'the', 'hadronic', 'phase', 'of', 'qcd', 'since', 'this', 'involves', 'strong', 'interaction', 'physics', 'in', 'an', 'intermediate', 'energy', 'range', 'we', 'approximate', 'qcd', 'by', 'a', 'sigma', 'model', 'that', 'retains', 'the', 'two', 'lowest', 'scalar', 'and', 'pseudoscalar', 'multiplets', 'we', 'propose', 'a', 'novel', 'mechanism', 'based', 'on', 'interplay', 'between', 'lightest', 'and', 'heavy', 'meson', 'states', 'which', 'can', 'not', 'be', 'realized', 'solely', 'in', 'the', 'goldstone', 'boson', 'pion', 'sector', 'and', 'thereby', 'is', 'unrelated', 'to', 'the', 'one', 'advocated', 'by', 'migdal', 'some', 'time', 'ago', 'our', 'approach', 'is', 'relevant', 'for', 'dense', 'matter', 'in', 'an', 'intermediate', 'regime', 'of', 'few', 'nuclear', 'densities', 'where', 'quark', 'percolation', 'does', 'not', 'yet', 'play', 'a', 'significant', 'role']] | [-0.11399325917591341, 0.28922987757817153, -0.10821641373539544, 0.14189804942101805, -0.08454407725366764, -0.13030432349270477, 0.07689216457947623, 0.32304104076008244, -0.20883544757296996, -0.26946559796176317, 0.010071121022130163, -0.22803766083338164, -0.09135248576889612, 0.07383759523301185, 0.05342061381920108, 0.025793489667453935, -0.007191577353556308, 0.03395052025527028, -0.056228894326652935, -0.19692848748153274, 0.32793703672775465, 0.0171842982360561, 0.23873259964498825, 0.17247082291370525, 0.08127783721595604, 0.009489591663753214, 0.0038463947920328273, -0.06187205106419112, -0.06259764500418896, 0.04629773753393757, 0.21608021083479148, 0.0621771230424721, 0.23611121011033123, -0.4173640448799623, -0.2102127554161208, 0.15446538365878432, 0.19239841936671706, 0.15580226837170943, -0.0929478744271494, -0.2732110062497668, 0.0758838285224296, -0.2290677927667275, -0.10388535097341187, -0.12502495024299215, -0.006214576860656962, -0.07103811180734608, -0.29079677063938497, 0.13537592974275217, 0.0013251033087726682, 0.005074836962324168, -0.010649637451414102, -0.15740562399566574, -0.011357584542046035, 0.04868149443479654, 0.08582305811225004, 0.06395282929588575, 0.13228615898905055, -0.21041630083553692, -0.12196823099033541, 0.4242878718318285, -0.07556488401252993, -0.15719192907480256, 0.17203545872845488, -0.13175706312592542, -0.1723675651155645, 0.13374372047006286, 0.16479630395770073, 0.08351717009957481, -0.15619299253947766, 0.11620877223166255, -0.05855251811382394, 0.20574487128344895, 0.027855889971501062, 0.07646270177376989, 0.2783538573754153, 0.18380287393977465, 0.011214223133200514, 0.06358495453501486, -0.03839081774848247, -0.14643939391992586, -0.3890185715530866, -0.1020115521802966, -0.1564721328156468, 0.04287856701713671, -0.06219174867419497, -0.10479562892578542, 0.3921743786652639, 0.10311729069612088, 0.2347678538810994, -0.039751042369711546, 0.27268242652228636, 0.10160030097904382, 0.0720416666190431, 0.06635369466468026, 0.3089117586051933, 0.16118048067021715, 0.11166088846273071, -0.26124613874812247, 0.010986273634314005, 0.11150632736514256] |
709.005 | Interchangeability of Combined Piezoelectrooptic Effect in LiTaO3 and
LiNbO3 Crystals | In the present paper the coefficients of piezooptic (PO), electrooptic (EO)
and combined piezoelectrooptic (PEO) effects for LiNbO3 and LiTaO3 crystals are
reported. It is shown that the combined PEO effect is interchangeable, i.e. its
coefficients determined independ-ently from the EO and PO experiments are the
same.
| physics.optics | in the present paper the coefficients of piezooptic po electrooptic eo and combined piezoelectrooptic peo effects for linbo3 and litao3 crystals are reported it is shown that the combined peo effect is interchangeable ie its coefficients determined independently from the eo and po experiments are the same | [['in', 'the', 'present', 'paper', 'the', 'coefficients', 'of', 'piezooptic', 'po', 'electrooptic', 'eo', 'and', 'combined', 'piezoelectrooptic', 'peo', 'effects', 'for', 'linbo3', 'and', 'litao3', 'crystals', 'are', 'reported', 'it', 'is', 'shown', 'that', 'the', 'combined', 'peo', 'effect', 'is', 'interchangeable', 'ie', 'its', 'coefficients', 'determined', 'independently', 'from', 'the', 'eo', 'and', 'po', 'experiments', 'are', 'the', 'same']] | [-0.11015866143861786, 0.15180197520100552, -0.0317322316620013, -0.10134151800150942, -0.038927136454731226, -0.14010111616074067, 0.0041913474358253825, 0.4567618373295535, -0.27637695484673197, -0.21995860103355802, 0.12183573574546482, -0.3516100343802701, -0.16128407947152204, 0.19819739797031102, -0.025864478441097006, 0.07581491087963198, 0.03938107035608719, -0.043543152237796916, -0.015337976682728724, -0.1792145572481272, 0.21456782779727213, 0.06231047162462188, 0.31937386707463505, 0.029651772119509784, 0.1450795153479861, -0.015264121400516318, -0.0346014892237018, 0.03804588880713867, -0.13216868754170719, 0.09127774381119272, 0.21071104065555593, -0.06349708994283625, 0.15431628736626843, -0.4368530257564524, -0.18244836076527185, 0.019386031057523644, 0.07747938923421316, 0.06532752657633113, -0.07362511058580941, -0.25614399969091883, 0.10262702296123556, -0.0842842194656639, -0.05363334340812719, -0.04279668863012415, 0.03441173510383005, 0.08091848930748909, -0.31852547937761183, 0.04420358154659524, 0.056168477800067354, 0.054207485979018005, -0.09479336426643979, -0.2289250226812842, -0.040924274797915765, 0.04658150830832512, 0.02666463855775478, -0.03421421291347107, 0.16321024602866205, -0.07506651228860668, -0.09439972142243515, 0.4167167837529079, -0.0676708610566414, -0.14772567161518332, 0.15020656537102617, -0.1289063473029629, -0.07300422116911606, 0.1332586168301413, 0.09650928089800088, 0.12694492065550192, -0.11151736947383893, 0.048121256820867646, 0.005533994752508791, 0.21004900040671878, 0.12270931075023406, 0.03691017596334543, 0.13584220170488823, 0.14944955724817904, -0.04839062763620978, 0.1287632980586394, -0.09378474876891983, 0.009807624975624292, -0.2016910445729635, -0.19013315844147102, -0.18526212850828533, -0.0232870922545376, -0.0747391657448885, -0.08410505444487132, 0.3235308508510175, 0.07609834484553532, 0.12832085808496113, -0.033969767776358385, 0.22370900748216588, 0.0975827417012466, 0.05768626874677189, -0.04947858510295982, 0.33292034883861954, 0.11925715691936405, 0.1260730640395828, -0.30268723302541056, 0.16373089436725105, -0.0037199740915599723] |
709.0051 | Electrooptic Effect in Non-Centrosymmetric CsLiB6O10 Borate Crystals | Electrooptic coefficient of CsLiB6O10 crystals has been experimentally
determined as r63=3.3*10-12m/V. The half-wave voltage for CsLiB6O10 (Ul/2=26
kV) is three orders of magnitude larger than that of the known KDP crystals.
| physics.optics | electrooptic coefficient of cslib6o10 crystals has been experimentally determined as r63331012mv the halfwave voltage for cslib6o10 ul226 kv is three orders of magnitude larger than that of the known kdp crystals | [['electrooptic', 'coefficient', 'of', 'cslib6o10', 'crystals', 'has', 'been', 'experimentally', 'determined', 'as', 'r63331012mv', 'the', 'halfwave', 'voltage', 'for', 'cslib6o10', 'ul226', 'kv', 'is', 'three', 'orders', 'of', 'magnitude', 'larger', 'than', 'that', 'of', 'the', 'known', 'kdp', 'crystals']] | [-0.14786222925478662, 0.20206893994300454, 0.008839414765437445, -0.10580586087976203, -0.04002663051640546, -0.17690678485841663, -0.036238811910152435, 0.47024213522672653, -0.1837249071923671, -0.28480757207230284, 0.0854539662875511, -0.30840788160761196, -0.06106792493826813, 0.36302038585698165, 0.05669156813787089, 0.09498817997950094, -0.10600126079387134, -0.004651626934193903, -0.11959694090506269, -0.24769725712637106, 0.18636775941208558, 0.0026063973308299427, 0.32568818792976717, -0.0030411394933859506, 0.19939048195050824, -0.08932678880928843, 0.08646230834225814, 0.07216041218661876, -0.1594026238796047, 0.025796305974600493, 0.2483400648235585, -0.1259203276993638, 0.18453496411718703, -0.3682951494637463, -0.25890204186240834, 0.08085132771844251, 0.13803052715957165, 0.09026394618882073, -0.020387612593670685, -0.19547304711132138, 0.179776240993912, -0.1558660871728703, -0.10668367951142567, -0.04476361411313216, 0.07392519224366104, 0.018174484924033837, -0.22194208549680533, 0.09002124442270508, 0.029086293135252263, 0.09845509911300959, -0.023883433339910373, -0.22554664103383268, -0.026843239277325296, 0.004900489607179124, 0.004765412761588339, 0.037255287584331304, 0.13833613128021913, -0.11424975166166271, -0.16612405688674362, 0.40913621750142837, -0.04724460929315279, -0.06284848692356954, 0.051149414024419255, -0.2163033632699538, 0.07274910145335728, 0.18082699455596782, 0.07558864489611652, 0.1428753779856143, -0.16553627944516916, -0.031508653045252515, -0.047814060002565384, 0.28181846370851554, 0.26588064877109396, 0.06090013767351155, 0.11270775880526614, 0.2340403385805311, 0.06636906027173002, 0.18647057119825924, -0.11495938817797988, 0.03660710942414072, -0.15130500688597007, -0.18532119408525802, -0.21481316284862934, 0.06259379087498894, -0.11956506020699938, -0.11478290916851687, 0.46135692905496667, 0.11285023639599483, 0.056186853666548374, -0.04897712043452042, 0.2669327708858031, 0.15113931635170486, 0.18987203065167974, -0.1032155768048984, 0.3452176098470335, 0.1708178399130702, 0.10175263398775349, -0.23752104731587073, 0.13505540234554145, 0.018292710038453893] |
709.0052 | Combined Piezoelectrooptic Effect in Rochelle Salt at the Phase
Transition | The results of study of piezoelectrooptic (PEO) effect in the course of
ferroelectric-ferroelastic phase transition in Rochelle salt crystals are
presented. The coefficient of the combined effect is obtained from measurements
of the changes in the electrooptic coefficients under the action of mechanical
stress and the changes in the piezooptic coefficients under the action of
electric field (or spontaneous polarization). It is shown experimentally that
the values of both coefficients are the same, as predicted by the theory. The
temperature dependence of the coefficient of combined PEO effect is obtained.
Its anomalous behaviour at the phase transition appears due to the dielectric
permitivity anomaly. It is also demonstrated that the change in the piezooptic
coefficients at the phase transition in Rochelle salt crystals may be
satisfactorily explained as a result of linear and quadratic PEO effect induced
by spontaneous polarization.
| physics.optics | the results of study of piezoelectrooptic peo effect in the course of ferroelectricferroelastic phase transition in rochelle salt crystals are presented the coefficient of the combined effect is obtained from measurements of the changes in the electrooptic coefficients under the action of mechanical stress and the changes in the piezooptic coefficients under the action of electric field or spontaneous polarization it is shown experimentally that the values of both coefficients are the same as predicted by the theory the temperature dependence of the coefficient of combined peo effect is obtained its anomalous behaviour at the phase transition appears due to the dielectric permitivity anomaly it is also demonstrated that the change in the piezooptic coefficients at the phase transition in rochelle salt crystals may be satisfactorily explained as a result of linear and quadratic peo effect induced by spontaneous polarization | [['the', 'results', 'of', 'study', 'of', 'piezoelectrooptic', 'peo', 'effect', 'in', 'the', 'course', 'of', 'ferroelectricferroelastic', 'phase', 'transition', 'in', 'rochelle', 'salt', 'crystals', 'are', 'presented', 'the', 'coefficient', 'of', 'the', 'combined', 'effect', 'is', 'obtained', 'from', 'measurements', 'of', 'the', 'changes', 'in', 'the', 'electrooptic', 'coefficients', 'under', 'the', 'action', 'of', 'mechanical', 'stress', 'and', 'the', 'changes', 'in', 'the', 'piezooptic', 'coefficients', 'under', 'the', 'action', 'of', 'electric', 'field', 'or', 'spontaneous', 'polarization', 'it', 'is', 'shown', 'experimentally', 'that', 'the', 'values', 'of', 'both', 'coefficients', 'are', 'the', 'same', 'as', 'predicted', 'by', 'the', 'theory', 'the', 'temperature', 'dependence', 'of', 'the', 'coefficient', 'of', 'combined', 'peo', 'effect', 'is', 'obtained', 'its', 'anomalous', 'behaviour', 'at', 'the', 'phase', 'transition', 'appears', 'due', 'to', 'the', 'dielectric', 'permitivity', 'anomaly', 'it', 'is', 'also', 'demonstrated', 'that', 'the', 'change', 'in', 'the', 'piezooptic', 'coefficients', 'at', 'the', 'phase', 'transition', 'in', 'rochelle', 'salt', 'crystals', 'may', 'be', 'satisfactorily', 'explained', 'as', 'a', 'result', 'of', 'linear', 'and', 'quadratic', 'peo', 'effect', 'induced', 'by', 'spontaneous', 'polarization']] | [-0.14188346144384806, 0.19376563790368198, -0.07732219337410354, -0.03527201953672355, -0.03163328687760898, -0.08117662271712538, 0.025717711329909056, 0.3598644623680295, -0.28466068157296387, -0.2696283222477642, 0.09432340408809375, -0.29257053128785365, -0.18979941594762822, 0.17361145221172639, 0.002521537760232421, 0.02339564886820593, -0.03903744741939276, 0.03253169351076479, -0.07943284781917716, -0.19514890202394813, 0.257613444695812, 0.07431129276377263, 0.32481622595587917, 0.09733740097538253, 0.10546153898706002, -0.026841517249725277, 0.019137917468391306, 0.06906620002345001, -0.10156992074864725, 0.009190506086682251, 0.21024034687539014, -0.052299763390915, 0.15079169810193477, -0.40692262860725253, -0.22418783601078626, 0.05155191634339448, 0.044391853268980215, 0.11421639255160908, -0.05246367163138745, -0.2549876319051874, 0.038184931572935406, -0.11143091209098804, -0.13540139082708672, -0.047053528664547366, 0.006708498391751602, 0.008137808407475943, -0.29478415421364335, 0.14125556069097092, 0.06368439503369196, 0.08874567906311948, -0.09909931699688405, -0.1263803246484654, -0.0564359385694424, 0.07684866739470485, 0.1139216870036003, 0.004301867747625751, 0.18180885059899723, -0.1498445476097115, -0.0740263128130556, 0.4074111051669867, -0.13455476140161213, -0.13374645974953564, 0.11550354758250735, -0.22060887674338742, -0.06705605612042621, 0.19634613217015437, 0.12444869966896104, 0.11644833319713262, -0.1306244486594479, 0.0681621969682533, 0.01490732507525588, 0.16034766331502645, 0.07761547819999375, 0.023574974541987877, 0.18259932890051989, 0.12170061374270766, -0.044206013192804594, 0.1860039138608686, -0.06640676847866757, -0.04667939890591468, -0.2585607899634315, -0.15082887885087043, -0.19960915828927708, 0.021782338176183937, -0.10818819646039314, -0.1387649384658472, 0.3857509292688944, 0.10931325692887814, 0.1801466049438865, -0.024569291668347745, 0.21605571725224848, 0.14755704292521657, 0.08560083742863198, -0.04402539182099239, 0.3129020470576428, 0.15001551089004325, 0.13937493495428735, -0.3390005842544701, 0.15628888814462175, 0.027490411591950616] |
709.0053 | Phase Coexistence in Cs3Bi2I9 Ferroelastics: Optical, Dilatation and
Ultrasonic Velocity Studies | The results for dilatometric, ultrasonic velocity and the domain struct-ure
studies of Cs3Bi2I9 crystals in the course of ferroelastic phase trans-ition
are presented. It is shown that the phase transition in Cs3Bi2I9 is of the
first order. Basing on the thermal expansion results and the data obtained for
the elastic stiffness of Cs3Bi2I9 crystals, the latent heat Q=79J/kg at Tc is
calculated. The region between 183K and 221K (at cooling) is identified as a
heterostructure region, where ferroelastic and paraelastic phases coexist.
| cond-mat.mtrl-sci | the results for dilatometric ultrasonic velocity and the domain structure studies of cs3bi2i9 crystals in the course of ferroelastic phase transition are presented it is shown that the phase transition in cs3bi2i9 is of the first order basing on the thermal expansion results and the data obtained for the elastic stiffness of cs3bi2i9 crystals the latent heat q79jkg at tc is calculated the region between 183k and 221k at cooling is identified as a heterostructure region where ferroelastic and paraelastic phases coexist | [['the', 'results', 'for', 'dilatometric', 'ultrasonic', 'velocity', 'and', 'the', 'domain', 'structure', 'studies', 'of', 'cs3bi2i9', 'crystals', 'in', 'the', 'course', 'of', 'ferroelastic', 'phase', 'transition', 'are', 'presented', 'it', 'is', 'shown', 'that', 'the', 'phase', 'transition', 'in', 'cs3bi2i9', 'is', 'of', 'the', 'first', 'order', 'basing', 'on', 'the', 'thermal', 'expansion', 'results', 'and', 'the', 'data', 'obtained', 'for', 'the', 'elastic', 'stiffness', 'of', 'cs3bi2i9', 'crystals', 'the', 'latent', 'heat', 'q79jkg', 'at', 'tc', 'is', 'calculated', 'the', 'region', 'between', '183k', 'and', '221k', 'at', 'cooling', 'is', 'identified', 'as', 'a', 'heterostructure', 'region', 'where', 'ferroelastic', 'and', 'paraelastic', 'phases', 'coexist']] | [-0.1345572533436662, 0.20195450818849892, -0.06441328070668763, -0.05855920505297335, -0.052348985366193174, -0.06384134590272096, 0.07567518609988538, 0.4015403032019923, -0.2483184173986127, -0.24227845640499382, 0.0991026045234367, -0.3113307145577443, -0.11063257343123985, 0.20019365993293026, 0.06225335207116448, 0.023227920878790553, -0.03351656036286414, 0.02848188536053028, -0.08859635583903122, -0.16241678618825972, 0.29474906782513555, 0.025127070154287393, 0.33628565424322326, 0.07527273614254273, 0.08696168944198356, -0.0691498232050504, 0.06939834001167572, 0.017937032721017168, -0.18351302418868495, 0.01287735482276995, 0.2940256516625987, -0.05552148351540105, 0.1610674871915739, -0.3914994382877139, -0.2487026558293006, 0.01189195252719182, 0.0960206007643874, 0.08793663263875001, -0.04688122516344714, -0.28513015858546087, 0.06365486104748672, -0.08772354719193676, -0.08281929763859208, -0.07877921608948632, -0.018183770778152763, 0.0032518701038405863, -0.26168332438506303, 0.1266355878567394, 0.05543704918008062, 0.06398887764014115, -0.1400958089028261, -0.12116183971255264, -0.06457170524893777, 0.08580360773219904, 0.046135877376964576, 0.06001702687832751, 0.13006667928369361, -0.12276469316640043, -0.06908775954448347, 0.3860676280116733, -0.01516726168161376, -0.062375953810030145, 0.14250513808094437, -0.19627721223090863, -0.08287668885969662, 0.1892700385762072, 0.12720823105678103, 0.09144723962379407, -0.11459431179601676, 0.030150035163387656, 0.01972287855276107, 0.17309808664471854, 0.0631449748526174, -0.0061471591249721335, 0.17027303028875326, 0.20639597991174913, -0.03089540066268248, 0.17107241393267353, -0.12227615859960736, -0.08750278241578725, -0.2791763800402655, -0.18881112359511323, -0.2481559618741651, -0.07433308512591344, -0.08977468302871301, -0.15325491882593936, 0.3555509495207026, 0.09421257164677063, 0.18163441212352696, -0.028889558390018683, 0.2174021048011565, 0.08911763395542349, 0.0670431414972755, 0.048674418414129485, 0.28393018113661417, 0.16158299973305268, 0.1739448216107167, -0.2673861973600674, 0.09989644703749992, 0.037432250124697065] |
709.0054 | Acoustooptic Interaction in Barium Beta-Borate Crystals | Basing on the measurements of photoelastic coefficients, acoustic waves
velocities and the refractive indices, the possible geometries for acoustooptic
interaction in b-BaB2O4 crystals have been analysed. It has been shown that the
acoustooptic figure of merit achieves its maximum value when the transverse
acoustic wave v13 with the velocity 817m/s is propagated in YZ-plane. In this
case M2=95.35*10-15s3/kg.
| physics.optics | basing on the measurements of photoelastic coefficients acoustic waves velocities and the refractive indices the possible geometries for acoustooptic interaction in bbab2o4 crystals have been analysed it has been shown that the acoustooptic figure of merit achieves its maximum value when the transverse acoustic wave v13 with the velocity 817ms is propagated in yzplane in this case m295351015s3kg | [['basing', 'on', 'the', 'measurements', 'of', 'photoelastic', 'coefficients', 'acoustic', 'waves', 'velocities', 'and', 'the', 'refractive', 'indices', 'the', 'possible', 'geometries', 'for', 'acoustooptic', 'interaction', 'in', 'bbab2o4', 'crystals', 'have', 'been', 'analysed', 'it', 'has', 'been', 'shown', 'that', 'the', 'acoustooptic', 'figure', 'of', 'merit', 'achieves', 'its', 'maximum', 'value', 'when', 'the', 'transverse', 'acoustic', 'wave', 'v13', 'with', 'the', 'velocity', '817ms', 'is', 'propagated', 'in', 'yzplane', 'in', 'this', 'case', 'm295351015s3kg']] | [-0.15442228472833944, 0.16522658651863986, -0.08526463446800005, -0.05832792941311544, -0.10732557385821234, -0.09183110627769069, -0.06040968271819028, 0.4466085134582086, -0.18909118290651927, -0.25789422419938174, 0.05902594329831614, -0.3320251510901885, -0.12973818772218443, 0.2658055244807408, 0.011204100628806786, 0.11521587786582214, 0.021294201995161445, 0.05712042457254773, -0.022368014463096518, -0.20636789053678511, 0.2221082418691367, 0.06645467951893806, 0.34706087287261406, 0.0420883371071382, 0.14556734729134901, -0.008128443715924567, 0.013351760516789827, 0.058578516665676775, -0.18014355785364222, 0.04412461734292182, 0.23691375546940519, 0.003969362293454734, 0.21704212219708346, -0.35134188847785647, -0.28591558525169436, 0.03330501578748226, 0.13239540730984034, 0.11586106178689409, -0.04980578682681715, -0.2712139405542985, 0.028083264785395426, -0.1318567282647233, -0.1268359556455504, -0.013103598085316744, 0.0776111973661252, 0.03381505683911118, -0.21329439229077912, 0.09789983563400297, 0.0045622446658936415, 0.055698335949670184, -0.06220867938827723, -0.1401673766742037, -0.05738373650237918, 0.05969409503899938, 0.05724369072016667, -0.020849551243538208, 0.08114897517318076, -0.11277919418009168, -0.07926926077766852, 0.41601081043481825, -0.07082556532385008, -0.21252782110717486, 0.09958969312085009, -0.17289422423663464, -0.02086273951625282, 0.1462144005620344, 0.19873645942319523, 0.07178934517062523, -0.09821886484304825, 0.04633425594286316, -0.025690157474177383, 0.18873096172782508, 0.1867571863599799, 0.03226486833088777, 0.18219242536208846, 0.12896565199744972, -8.6138304322958e-05, 0.12784281371330672, -0.1830072699665007, 0.05300186425341632, -0.1981683987108144, -0.1531615648926659, -0.21609581553123214, 0.007678889340075495, -0.12667039377080402, -0.1116695342431988, 0.41789504966952584, 0.16784312885931946, 0.12657532222060994, -0.03464514027476649, 0.3054480408826335, 0.16106309396087784, 0.09419486826624382, 0.04688810503787615, 0.4254400460557504, 0.17280708402395248, 0.13834035315402698, -0.24516693235967646, 0.05989000511101701, 0.02795896581797437] |
709.0055 | Once More About the "Forbidden" Domain Structure and the Isolated Point
in K2Cd2xMn2(1-x)(SO4)3 Langbeinites | The domain structure in K2Cd2xMn2(1-x)(SO4)3 (x=0.5, 0.7 and 0.9) langbeinite
crystals is studied with the aid of optical polarization microscopy. It is
shown that the domain walls in ferro-elastic langbeinites separate
enantiomorphous orientation states. These orientation states appear in the
phase with the symmetry 23 in connection with the hypothetic phase transition .
In the phase with the symmetry 222, these domain walls are transformed to those
separating ferroelastic domains with the opposite signs of enantiomorphism. It
is revealed that one enantiomorphous domain can only transform to the other via
a thick layer of the parent phase with symmetry. The results for the volume
thermal expansion are presented. It is shown that the isolated point at the
x,T-phase diagram of K2Cd2xMn2(1-x)(SO4)3 solid solutions corresponds to the
concentration x=0.6.
| cond-mat.mtrl-sci | the domain structure in k2cd2xmn21xso43 x05 07 and 09 langbeinite crystals is studied with the aid of optical polarization microscopy it is shown that the domain walls in ferroelastic langbeinites separate enantiomorphous orientation states these orientation states appear in the phase with the symmetry 23 in connection with the hypothetic phase transition in the phase with the symmetry 222 these domain walls are transformed to those separating ferroelastic domains with the opposite signs of enantiomorphism it is revealed that one enantiomorphous domain can only transform to the other via a thick layer of the parent phase with symmetry the results for the volume thermal expansion are presented it is shown that the isolated point at the xtphase diagram of k2cd2xmn21xso43 solid solutions corresponds to the concentration x06 | [['the', 'domain', 'structure', 'in', 'k2cd2xmn21xso43', 'x05', '07', 'and', '09', 'langbeinite', 'crystals', 'is', 'studied', 'with', 'the', 'aid', 'of', 'optical', 'polarization', 'microscopy', 'it', 'is', 'shown', 'that', 'the', 'domain', 'walls', 'in', 'ferroelastic', 'langbeinites', 'separate', 'enantiomorphous', 'orientation', 'states', 'these', 'orientation', 'states', 'appear', 'in', 'the', 'phase', 'with', 'the', 'symmetry', '23', 'in', 'connection', 'with', 'the', 'hypothetic', 'phase', 'transition', 'in', 'the', 'phase', 'with', 'the', 'symmetry', '222', 'these', 'domain', 'walls', 'are', 'transformed', 'to', 'those', 'separating', 'ferroelastic', 'domains', 'with', 'the', 'opposite', 'signs', 'of', 'enantiomorphism', 'it', 'is', 'revealed', 'that', 'one', 'enantiomorphous', 'domain', 'can', 'only', 'transform', 'to', 'the', 'other', 'via', 'a', 'thick', 'layer', 'of', 'the', 'parent', 'phase', 'with', 'symmetry', 'the', 'results', 'for', 'the', 'volume', 'thermal', 'expansion', 'are', 'presented', 'it', 'is', 'shown', 'that', 'the', 'isolated', 'point', 'at', 'the', 'xtphase', 'diagram', 'of', 'k2cd2xmn21xso43', 'solid', 'solutions', 'corresponds', 'to', 'the', 'concentration', 'x06']] | [-0.13693161990653846, 0.17924696801337184, -0.07971326158320928, -0.031275697521956976, -0.061084274431598966, -0.09279511678108915, 0.034985713828183315, 0.43078176854330985, -0.2906840681957203, -0.2775099305512353, 0.11847035006570371, -0.30850678260941977, -0.09705333620859463, 0.11440757662057877, 0.01690400936869813, -0.00212437856072163, -0.037876970577435415, 0.010867635814900526, -0.08682698335261924, -0.18014134198320328, 0.2939703395040553, -0.058538496461849596, 0.340955974824238, 0.021321352380404217, 0.032816656880447125, -0.05244322180973183, 0.0688686431156563, 0.018768145565371045, -0.11829550267996593, 0.041331982876548205, 0.24937497633967365, -0.024738572495913165, 0.14132280293737584, -0.4132925645127648, -0.20264028965831413, 0.053219225080149465, 0.12528349702307556, 0.10494810747379651, -0.07923847831190244, -0.2980254619825082, 0.08200779271342593, -0.08152584491114391, -0.15109323665354646, -0.02913245089642215, -0.005539615768328553, -0.022221165199641933, -0.21406257944420118, 0.11206007251119027, 0.06942773314544046, 0.037648671287585235, -0.09862762744172064, -0.11200611248276517, -0.10080567740102406, 0.1007022149746352, 0.046629719966717185, 0.10243582661591898, 0.10935514854919928, -0.12536899317971995, -0.0902970046898518, 0.37495305109769106, 0.0011649303687889067, -0.1690895012484436, 0.21244630258202124, -0.23274584268754134, -0.07572207332695605, 0.1841689790675386, 0.06763371442765241, 0.09771075691898033, -0.09938221492424806, 0.051430107069060545, -0.0008835454059184575, 0.19703984994094886, 0.08262171739040584, 0.012177687638332366, 0.22483829898973468, 0.14119806102492283, 0.0383279607707604, 0.18843376378292126, -0.11410772521812164, -0.11261943956363762, -0.2711649213871751, -0.162742789827104, -0.20385040663236173, -0.014059166950708041, -0.092488603280799, -0.15061873235104253, 0.3739863099744085, 0.0789546085322146, 0.21205894657616794, -0.06955353999663083, 0.2120148207206035, 0.08041881320456074, 0.10676680911775129, 0.022651772177491918, 0.28406164197434414, 0.1359544313344799, 0.1330460744841238, -0.23390517578093853, 0.062161506357369944, 0.029398489583161522] |
709.0056 | Piezooptic Properties of beta-BaB2O4 and Li2B4O7 Crystals | Photoelastic coefficients of beta-BaB2O4 and Li2B4O7 crystals are calculated
on the basis of piezooptic measurements performed with interferometric
technique and the elastic compliance and stiffness data. Using the experimental
results, the acoustooptic (AO) figure of merit (FM) has been estimated for the
possible geometries of AO interaction. It is shown that the AO FM for the ABO
and LTB crystals reach respectively the values M2=243.4*10-15s3/kg and
M2=2.57*10-15s3/kg, if the interaction with the slowest ultrasonic waves
(v=933.5m/s and v=3173m/s) is concerned. The directions of propagation and
polarization of those acoustic waves are obtained on the basis of construction
of indicative surfaces of the acoustic wave velocities.
| physics.optics | photoelastic coefficients of betabab2o4 and li2b4o7 crystals are calculated on the basis of piezooptic measurements performed with interferometric technique and the elastic compliance and stiffness data using the experimental results the acoustooptic ao figure of merit fm has been estimated for the possible geometries of ao interaction it is shown that the ao fm for the abo and ltb crystals reach respectively the values m224341015s3kg and m22571015s3kg if the interaction with the slowest ultrasonic waves v9335ms and v3173ms is concerned the directions of propagation and polarization of those acoustic waves are obtained on the basis of construction of indicative surfaces of the acoustic wave velocities | [['photoelastic', 'coefficients', 'of', 'betabab2o4', 'and', 'li2b4o7', 'crystals', 'are', 'calculated', 'on', 'the', 'basis', 'of', 'piezooptic', 'measurements', 'performed', 'with', 'interferometric', 'technique', 'and', 'the', 'elastic', 'compliance', 'and', 'stiffness', 'data', 'using', 'the', 'experimental', 'results', 'the', 'acoustooptic', 'ao', 'figure', 'of', 'merit', 'fm', 'has', 'been', 'estimated', 'for', 'the', 'possible', 'geometries', 'of', 'ao', 'interaction', 'it', 'is', 'shown', 'that', 'the', 'ao', 'fm', 'for', 'the', 'abo', 'and', 'ltb', 'crystals', 'reach', 'respectively', 'the', 'values', 'm224341015s3kg', 'and', 'm22571015s3kg', 'if', 'the', 'interaction', 'with', 'the', 'slowest', 'ultrasonic', 'waves', 'v9335ms', 'and', 'v3173ms', 'is', 'concerned', 'the', 'directions', 'of', 'propagation', 'and', 'polarization', 'of', 'those', 'acoustic', 'waves', 'are', 'obtained', 'on', 'the', 'basis', 'of', 'construction', 'of', 'indicative', 'surfaces', 'of', 'the', 'acoustic', 'wave', 'velocities']] | [-0.14503423120287054, 0.15530908281573713, -0.04412821678463185, -0.048494641593021186, -0.08118524625528567, -0.09787115718394813, -0.023707808069147095, 0.4067842544305443, -0.23012596931271623, -0.2594183765324109, 0.11664735605031953, -0.3300869307748162, -0.11392330920950759, 0.25663426317422106, 0.05366274702021539, 0.10870096783541572, 0.06898947053653474, 0.003908045755902139, -0.06066320046130107, -0.18127464128676618, 0.2619227021344762, 0.09152785375124158, 0.30843005914904986, 0.029881603674649603, 0.1307731134215333, 0.019909676032989185, -0.021367769483200245, 0.02883016780286216, -0.1651316012817321, 0.11208611045327813, 0.24019363589727752, 0.019148531335286132, 0.15037095682271343, -0.39841719041809, -0.20890900133711304, 0.0049338766493567145, 0.08945459679764982, 0.10502988373916043, -0.02579611581104743, -0.29523985704411704, 0.042430692232481325, -0.11317300077269574, -0.14856291828806154, -0.046617079489301924, 0.016092360031210107, 0.06570053711939271, -0.25895705814058384, 0.0811637598228189, 0.018559711325987435, 0.09478882871254689, -0.12459399244093364, -0.1652699549714712, -0.05922751436885999, 0.05893801238922642, 0.05171230387883169, 0.019400925956445166, 0.0994172111928168, -0.10652258119195479, -0.08453885498133921, 0.41338807787045395, -0.03861675314181069, -0.1686383030829158, 0.14900720663516237, -0.16077672722513123, -0.023926799314668273, 0.13197643040577964, 0.164771768868449, 0.08520654386075416, -0.10078784409855114, 0.013352746923689242, 0.024741224512500496, 0.17205429972278527, 0.11446221661523427, 0.03993047764847553, 0.18887333786529997, 0.15204952392579602, -0.01248305402972763, 0.09321069490800768, -0.16663885236911402, 0.01733309059060354, -0.2502404814539938, -0.1358090103214888, -0.2042602089782347, -0.0029052141968836306, -0.10990768868264646, -0.12640111789304423, 0.3650763694492012, 0.1368710375944208, 0.1262843135633681, 0.014667631495780873, 0.26169652865143805, 0.08191175494080244, 0.08816529702773263, -0.003411081130846892, 0.3671204885052941, 0.15526137889206115, 0.10693965760972535, -0.2655615183884407, 0.06880906769328078, 0.02597177109339892] |
709.0057 | Crystal Optical Properties of Inhomogeneous Plates and the Problems of
Polarization Tomography of Photoelastic Materials | Using the Jones matrix formalism, crystal optical properties of inhomogeneous
material consisting of a pile of weakly birefringent plates are analysed in
relation to the cell model adopted in polarization tomography of 3D dielectric
tensor field in photoelastic media. It is shown that the material manifests in
general an "apparent" optical gyration caused by different orientations of the
plates. Relations between the polarimetric parameters and the dielectric tensor
components are ascertained for the case of weak optical anisotropy.
| physics.optics | using the jones matrix formalism crystal optical properties of inhomogeneous material consisting of a pile of weakly birefringent plates are analysed in relation to the cell model adopted in polarization tomography of 3d dielectric tensor field in photoelastic media it is shown that the material manifests in general an apparent optical gyration caused by different orientations of the plates relations between the polarimetric parameters and the dielectric tensor components are ascertained for the case of weak optical anisotropy | [['using', 'the', 'jones', 'matrix', 'formalism', 'crystal', 'optical', 'properties', 'of', 'inhomogeneous', 'material', 'consisting', 'of', 'a', 'pile', 'of', 'weakly', 'birefringent', 'plates', 'are', 'analysed', 'in', 'relation', 'to', 'the', 'cell', 'model', 'adopted', 'in', 'polarization', 'tomography', 'of', '3d', 'dielectric', 'tensor', 'field', 'in', 'photoelastic', 'media', 'it', 'is', 'shown', 'that', 'the', 'material', 'manifests', 'in', 'general', 'an', 'apparent', 'optical', 'gyration', 'caused', 'by', 'different', 'orientations', 'of', 'the', 'plates', 'relations', 'between', 'the', 'polarimetric', 'parameters', 'and', 'the', 'dielectric', 'tensor', 'components', 'are', 'ascertained', 'for', 'the', 'case', 'of', 'weak', 'optical', 'anisotropy']] | [-0.15398296399955422, 0.15972489125310974, -0.04169637284492357, -0.04588908040657257, -0.06128796987020625, -0.11610359006609099, -0.06186098802404908, 0.4674634883562342, -0.2926308782054828, -0.2656031263132508, 0.03550254146998318, -0.264475471029679, -0.16525594670421037, 0.16978806120833048, 0.019926837436520517, 0.04884716249906864, -0.009755057043945178, -0.05503052267699669, -0.06810331753699873, -0.1508181431951622, 0.30409867393199164, 0.01351752652762792, 0.3482968428960213, 0.00754174009228173, 0.1038498406489499, 0.059193367986247324, -0.04234827597601674, 0.09986925545411232, -0.09659645401692475, 0.08334740110111828, 0.19466865522106394, -0.02098540433992942, 0.12823262127737203, -0.4549301860567469, -0.19233550022256216, 0.0358793198919067, 0.0870591732315146, 0.10267920199877177, -0.016871212326431982, -0.25556129823403, -0.013623250782704698, -0.129728385927872, -0.17742927815430823, -0.013624748218064316, 0.048372451324935235, 0.019212709572643805, -0.23520078205575162, 0.10717516348291284, 0.023747349850451335, 0.093518320342693, -0.11785649115410753, -0.08698293945949095, -0.02728292190780242, 0.08217208347737025, 0.03233033949539113, -0.0344605130644945, 0.1631107474438464, -0.1653221215461739, -0.020013816344241302, 0.43231214458743733, -0.06991463700810877, -0.18539309002853072, 0.141086331991037, -0.17385894356844708, -0.004726002768923839, 0.1325798431554666, 0.16129662748351573, 0.08540703167016499, -0.1827140178065747, 0.03989251236093995, -0.0714615957501034, 0.19163535565782625, 0.10403222351884231, 0.041418714568956204, 0.24223940286976406, 0.14298113239242527, -0.07457214215770737, 0.21969388644449794, -0.09039597848478036, -0.009531789710028814, -0.24328842120340619, -0.17596560985844123, -0.2300495124393656, 0.026454676850101888, -0.1783948088755446, -0.22485272026470063, 0.36140825513463753, 0.11112995431400262, 0.11846262668050492, -0.049104391441990934, 0.30289112184292233, 0.06375202782547627, 0.10050221869292167, 0.009127709513100294, 0.374536509365918, 0.2618194706051443, 0.14961322481767872, -0.2287522713856724, 0.06067155757680153, 0.04963429645300867] |
709.0058 | An intermediate baryon system formation and the angular distributions of
the slow particles emitted in hadron-nuclear and nuclear-nuclear interactions
at high energies | We have analyzed the angular distributions of the b- particles emitted in
Kr+Em -reaction at 0.95 A GeV and in Au+Em -reaction at 10.7 A GeV and compared
these with lighter projectile experiments for which some structure in the
angular distribution of slow particles was observed. The same structure for the
b-particles almost disappears by increasing the projectile mass. We believe
that it is connected with increasing rates of internuclear secondary
interactions which could lead mainly to disappearance of the information about
intermediate baryon system formation. We suggest that it should be taken into
account at event generation for heavy ion interactions to restore the
information on the intermediate baryon system formation.
| nucl-ex | we have analyzed the angular distributions of the b particles emitted in krem reaction at 095 a gev and in auem reaction at 107 a gev and compared these with lighter projectile experiments for which some structure in the angular distribution of slow particles was observed the same structure for the bparticles almost disappears by increasing the projectile mass we believe that it is connected with increasing rates of internuclear secondary interactions which could lead mainly to disappearance of the information about intermediate baryon system formation we suggest that it should be taken into account at event generation for heavy ion interactions to restore the information on the intermediate baryon system formation | [['we', 'have', 'analyzed', 'the', 'angular', 'distributions', 'of', 'the', 'b', 'particles', 'emitted', 'in', 'krem', 'reaction', 'at', '095', 'a', 'gev', 'and', 'in', 'auem', 'reaction', 'at', '107', 'a', 'gev', 'and', 'compared', 'these', 'with', 'lighter', 'projectile', 'experiments', 'for', 'which', 'some', 'structure', 'in', 'the', 'angular', 'distribution', 'of', 'slow', 'particles', 'was', 'observed', 'the', 'same', 'structure', 'for', 'the', 'bparticles', 'almost', 'disappears', 'by', 'increasing', 'the', 'projectile', 'mass', 'we', 'believe', 'that', 'it', 'is', 'connected', 'with', 'increasing', 'rates', 'of', 'internuclear', 'secondary', 'interactions', 'which', 'could', 'lead', 'mainly', 'to', 'disappearance', 'of', 'the', 'information', 'about', 'intermediate', 'baryon', 'system', 'formation', 'we', 'suggest', 'that', 'it', 'should', 'be', 'taken', 'into', 'account', 'at', 'event', 'generation', 'for', 'heavy', 'ion', 'interactions', 'to', 'restore', 'the', 'information', 'on', 'the', 'intermediate', 'baryon', 'system', 'formation']] | [-0.09835914885709146, 0.24564931123005646, -0.08050838361760634, 0.11808879519073368, 0.01207019791409776, -0.10985054991098943, 0.025868592538392625, 0.35183678109299493, -0.2327633113726168, -0.3340725497686648, 0.013532995150911177, -0.330385264487484, 0.018224454715613042, 0.1384047401661519, 0.04898985925021472, -0.019278812822088733, 0.09240774589125067, 0.047025363728706096, -0.03345838994173719, -0.19667410303058253, 0.29774555697751875, 0.11189477113788729, 0.23354786167944874, 0.1271800440106843, 0.10216922806533943, 0.003984301468474908, 0.001080835649223478, -0.02747622515737742, -0.11855969066704888, 0.04724453115282026, 0.1988167144181962, 0.08177156393680521, 0.1961239839123713, -0.38736673711740355, -0.20189113562574257, 0.09120763570640807, 0.19469665939844139, 0.12493947691253705, -0.08683481800416065, -0.26878504430128447, 0.09661612881773345, -0.18894606897489982, -0.12771350407536636, -0.016897526443810075, 0.04433170218138142, 0.03017877312880513, -0.286527433278467, 0.09385208150598447, 0.025098568973811092, 0.013465203862922551, -0.09721925820702233, -0.14209363333721486, -0.08953601627417647, 0.08264275117953485, 0.08939301047834929, 0.04563486221695302, 0.17436869381790612, -0.09520672389247396, -0.02945611495440742, 0.37960615038015955, -0.03621416635442156, -0.12226720327125476, 0.17090647720505256, -0.22054469686941253, -0.14471008890383952, 0.20376039786172007, 0.2069027234405816, 0.07706517645216605, -0.14032664230651315, -0.013963381181940905, 0.024999975033842766, 0.16807495443500303, 0.10733061168250535, 0.05503560434859078, 0.2542220319847803, 0.19591610739427107, 0.0057023469513903064, 0.06857429023295629, -0.11711104287816262, -0.09356577488958735, -0.2682643174151848, -0.11520330182608082, -0.1371094155553225, 0.05590547333043572, -0.069024635193322, -0.039437816809728604, 0.342410837879052, 0.1241465055589304, 0.264508772087661, -0.011318292443615359, 0.26416013003872324, 0.08248773596442498, 0.12249789565963133, 0.0701986212862303, 0.2923439033804063, 0.12224979958127814, 0.15117931702837079, -0.2537632861493474, 0.08231037192315131, -0.01263054589917128] |
709.0059 | Anomalous Hall effect in (In,Mn)Sb dilute magnetic semiconductor | High magnetic field study of Hall resistivity in the ferromagnetic phase of
(In,Mn)Sb allows one to separate its normal and anomalous components. We show
that the anomalous Hall term is not proportional to the magnetization, and that
it even changes sign as a function of magnetic field. We also show that the
application of pressure modifies the scattering process, but does not influence
the Hall effect. These observations suggest that the anomalous Hall effect in
(In,Mn)Sb is an intrinsic property and support the application of the Berry
phase theory for (III,Mn)V semiconductors. We propose a phenomenological
description of the anomalous Hall conductivity, based on a field-dependent
relative shift of the heavy- and light-hole valence bands and the split-off
band.
| cond-mat.other | high magnetic field study of hall resistivity in the ferromagnetic phase of inmnsb allows one to separate its normal and anomalous components we show that the anomalous hall term is not proportional to the magnetization and that it even changes sign as a function of magnetic field we also show that the application of pressure modifies the scattering process but does not influence the hall effect these observations suggest that the anomalous hall effect in inmnsb is an intrinsic property and support the application of the berry phase theory for iiimnv semiconductors we propose a phenomenological description of the anomalous hall conductivity based on a fielddependent relative shift of the heavy and lighthole valence bands and the splitoff band | [['high', 'magnetic', 'field', 'study', 'of', 'hall', 'resistivity', 'in', 'the', 'ferromagnetic', 'phase', 'of', 'inmnsb', 'allows', 'one', 'to', 'separate', 'its', 'normal', 'and', 'anomalous', 'components', 'we', 'show', 'that', 'the', 'anomalous', 'hall', 'term', 'is', 'not', 'proportional', 'to', 'the', 'magnetization', 'and', 'that', 'it', 'even', 'changes', 'sign', 'as', 'a', 'function', 'of', 'magnetic', 'field', 'we', 'also', 'show', 'that', 'the', 'application', 'of', 'pressure', 'modifies', 'the', 'scattering', 'process', 'but', 'does', 'not', 'influence', 'the', 'hall', 'effect', 'these', 'observations', 'suggest', 'that', 'the', 'anomalous', 'hall', 'effect', 'in', 'inmnsb', 'is', 'an', 'intrinsic', 'property', 'and', 'support', 'the', 'application', 'of', 'the', 'berry', 'phase', 'theory', 'for', 'iiimnv', 'semiconductors', 'we', 'propose', 'a', 'phenomenological', 'description', 'of', 'the', 'anomalous', 'hall', 'conductivity', 'based', 'on', 'a', 'fielddependent', 'relative', 'shift', 'of', 'the', 'heavy', 'and', 'lighthole', 'valence', 'bands', 'and', 'the', 'splitoff', 'band']] | [-0.1663900844443652, 0.21116816099283595, -0.09299343571012073, 0.03279505829684676, -0.10998234193099021, -0.1127289794150646, 0.06893346267028422, 0.36530422823143605, -0.2843014107696211, -0.2834514006815788, 0.029621925942615427, -0.28267942926420403, -0.20565133042508313, 0.1831415496891787, -0.0023524154196767244, -0.017518665516815548, -0.05527688518260457, -0.015891873160330187, -0.1003360300414859, -0.17574176108347206, 0.32638633646024, -0.016283856583524402, 0.3214032166390954, 0.13655045310411007, 0.08140917004187818, 0.029061746767902075, 0.058765560912923155, 0.07295641356280871, -0.08976264134907368, 0.017314444146935434, 0.1693301333834519, -0.10866873684347052, 0.1587293331096528, -0.41037740401861045, -0.17339613949958266, 0.031116995353940406, 0.09908548287045554, 0.13290758538959907, -0.05043813247065365, -0.2419642259155502, 0.030512660919363853, -0.1670843078089612, -0.12047391832500946, -0.09995853445128765, 0.02986370848233522, -0.08009748952267613, -0.2643357882268351, 0.10848615240445557, 0.10597738586670666, 0.06730425624693391, -0.11575499253627304, -0.15082267369730634, -0.06332334283614109, 0.08990478502711703, 0.09921155139356812, 0.03592994123963373, 0.16773806699476315, -0.16927844252312133, -0.16624411848714152, 0.346497516656498, -0.10858769498828079, -0.11618900829691346, 0.14385239470225736, -0.26200349849625293, -0.0864116696703459, 0.14565273017051214, 0.1300800760519229, 0.06314372228255041, -0.09233607731352583, 0.10649196732106439, -0.028146395911736524, 0.1448437243293063, -0.027485706154726633, 0.07448017751375417, 0.23550297104276152, 0.12877135586870067, 0.03894613387923788, 0.13520614141520082, -0.1699179507334161, 0.00818198554593475, -0.2839242864494063, -0.23090825395799486, -0.22334809458478033, 0.0776322638763197, -0.06267357169111952, -0.23040286855999098, 0.40542217140563397, 0.19791253368534586, 0.17835645410506165, -0.05549308062069306, 0.2858711608740337, 0.17794082131522448, 0.08888958154653176, 0.05615513949819347, 0.2647581855304727, 0.19175703984004358, 0.13240387583808863, -0.36061738140317573, 0.0903131910560637, 0.0041046747096477685] |
709.006 | Estimates for parameters and characteristics of the confining
SU(3)-gluonic field in $\eta$-meson from two-photon decay | On the basis of the confinement mechanism earlier proposed by author, the
electric form factor of $\eta$-meson is nonperturbatively calculated. The
latter is then applied to describe electromagnetic decay $\eta\to2\gamma$ which
entails estimates for parameters of the confining SU(3)-gluonic field in
$\eta$-meson. The corresponding estimates of the gluon concentrations, electric
and magnetic colour field strengths are also adduced for the mentioned field.
| hep-ph | on the basis of the confinement mechanism earlier proposed by author the electric form factor of etameson is nonperturbatively calculated the latter is then applied to describe electromagnetic decay etato2gamma which entails estimates for parameters of the confining su3gluonic field in etameson the corresponding estimates of the gluon concentrations electric and magnetic colour field strengths are also adduced for the mentioned field | [['on', 'the', 'basis', 'of', 'the', 'confinement', 'mechanism', 'earlier', 'proposed', 'by', 'author', 'the', 'electric', 'form', 'factor', 'of', 'etameson', 'is', 'nonperturbatively', 'calculated', 'the', 'latter', 'is', 'then', 'applied', 'to', 'describe', 'electromagnetic', 'decay', 'etato2gamma', 'which', 'entails', 'estimates', 'for', 'parameters', 'of', 'the', 'confining', 'su3gluonic', 'field', 'in', 'etameson', 'the', 'corresponding', 'estimates', 'of', 'the', 'gluon', 'concentrations', 'electric', 'and', 'magnetic', 'colour', 'field', 'strengths', 'are', 'also', 'adduced', 'for', 'the', 'mentioned', 'field']] | [-0.0913461580353438, 0.21261507487039036, -0.06413623046313154, 0.09046093646635409, -0.04002549364155189, -0.0695966430939734, 0.005406340599426481, 0.3837853740351122, -0.1703984709456563, -0.29259443128115087, -0.008234594786371731, -0.2021500640319752, -0.05187026875429466, 0.1707017579894574, 0.04854002117072461, 0.023356463729602393, -0.015784588379052576, 0.09766401918452294, -0.02835247843511036, -0.24034615519044342, 0.3500984202093277, 0.02798703992281292, 0.2964171535472889, 0.14473544592495824, 0.04092489931060642, 0.015505679104416097, -0.02791291189792215, 0.010594594597694327, -0.1265946791972965, 0.08966917207953139, 0.16926208046860383, 0.022589724178838193, 0.1744300054355723, -0.39080381791153157, -0.18433477120382374, 0.04866197172048517, 0.13847320732950677, 0.1254460958393718, -0.07012754913274442, -0.3051128617304637, 0.07472692762852692, -0.12882256020837632, -0.16449507903765703, -0.09544369784473884, 0.039655522601755304, 0.06670010689890286, -0.3580412430169641, 0.07747446751693401, 0.007990488355032733, 0.05171528846391889, -0.15929958800647837, -0.18076020854784816, -0.012265835453557675, 0.09354221156691431, 0.1559262370736506, 0.1165511958972841, 0.21364296439912964, -0.1989848134794929, -0.07752916069518102, 0.3301427208314665, -0.0643279634981004, -0.17630161048813922, 0.07011478512593713, -0.1503420499703068, -0.07247992292748856, 0.16506607026877035, 0.13657569440203857, 0.08309510436489201, -0.18713235394021527, 0.12945253255330486, -0.008599710040038726, 0.10319102399402344, 0.08429522544038712, 0.01607031753805817, 0.1672306433014694, 0.08637497595465574, -0.010472550133212667, 0.10925980846657128, -0.05488008756541693, -0.073836551032594, -0.35157373077312454, -0.10953974195557539, -0.13089987699354647, 0.03740019675298426, -0.1016327602818387, -0.1475236172726775, 0.42675850498795387, 0.15774377566747, 0.14212359396786597, -0.020900888397114077, 0.27972899424675546, 0.17923032574844164, 0.1019930851447289, 0.039818728323567844, 0.33024394155678444, 0.24834787398653074, 0.11376946388178917, -0.28106931637453497, 0.01732941220712955, 0.1459371860169607] |
709.0061 | GRB060602B = Swift J1749.4-2807: an unusual transiently accreting
neutron-star X-ray binary | We present an analysis of the Swift BAT and XRT data of GRB060602B, which is
most likely an accreting neutron star in a binary system and not a gamma-ray
burst. Our analysis shows that the BAT burst spectrum is consistent with a
thermonuclear flash (type-I X-ray burst) from the surface of an accreting
neutron star in a binary system. The X-ray binary nature is further confirmed
by the report of a detection of a faint point source at the position of the XRT
counterpart of the burst in archival XMM-Newton data approximately 6 years
before the burst and in more recent XMM-Newton data obtained at the end of
September 2006 (nearly 4 months after the burst). Since the source is very
likely not a gamma-ray burst, we rename the source Swift J1749.4-2807, based on
the Swift/BAT discovery coordinates. Using the BAT data of the type-I X-ray
burst we determined that the source is at most at a distance of 6.7+-1.3 kpc.
For a transiently accreting X-ray binary its soft X-ray behaviour is atypical:
its 2-10 keV X-ray luminosity (as measured using the Swift/XRT data) decreased
by nearly 3 orders of magnitude in about 1 day, much faster than what is
usually seen for X-ray transients. If the earlier phases of the outburst also
evolved this rapidly, then many similar systems might remain undiscovered
because the X-rays are difficult to detect and the type-I X-ray bursts might be
missed by all sky surveying instruments. This source might be part of a class
of very-fast transient low-mass X-ray binary systems of which there may be a
significant population in our Galaxy.
| astro-ph | we present an analysis of the swift bat and xrt data of grb060602b which is most likely an accreting neutron star in a binary system and not a gammaray burst our analysis shows that the bat burst spectrum is consistent with a thermonuclear flash typei xray burst from the surface of an accreting neutron star in a binary system the xray binary nature is further confirmed by the report of a detection of a faint point source at the position of the xrt counterpart of the burst in archival xmmnewton data approximately 6 years before the burst and in more recent xmmnewton data obtained at the end of september 2006 nearly 4 months after the burst since the source is very likely not a gammaray burst we rename the source swift j174942807 based on the swiftbat discovery coordinates using the bat data of the typei xray burst we determined that the source is at most at a distance of 6713 kpc for a transiently accreting xray binary its soft xray behaviour is atypical its 210 kev xray luminosity as measured using the swiftxrt data decreased by nearly 3 orders of magnitude in about 1 day much faster than what is usually seen for xray transients if the earlier phases of the outburst also evolved this rapidly then many similar systems might remain undiscovered because the xrays are difficult to detect and the typei xray bursts might be missed by all sky surveying instruments this source might be part of a class of veryfast transient lowmass xray binary systems of which there may be a significant population in our galaxy | [['we', 'present', 'an', 'analysis', 'of', 'the', 'swift', 'bat', 'and', 'xrt', 'data', 'of', 'grb060602b', 'which', 'is', 'most', 'likely', 'an', 'accreting', 'neutron', 'star', 'in', 'a', 'binary', 'system', 'and', 'not', 'a', 'gammaray', 'burst', 'our', 'analysis', 'shows', 'that', 'the', 'bat', 'burst', 'spectrum', 'is', 'consistent', 'with', 'a', 'thermonuclear', 'flash', 'typei', 'xray', 'burst', 'from', 'the', 'surface', 'of', 'an', 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'soft', 'xray', 'behaviour', 'is', 'atypical', 'its', '210', 'kev', 'xray', 'luminosity', 'as', 'measured', 'using', 'the', 'swiftxrt', 'data', 'decreased', 'by', 'nearly', '3', 'orders', 'of', 'magnitude', 'in', 'about', '1', 'day', 'much', 'faster', 'than', 'what', 'is', 'usually', 'seen', 'for', 'xray', 'transients', 'if', 'the', 'earlier', 'phases', 'of', 'the', 'outburst', 'also', 'evolved', 'this', 'rapidly', 'then', 'many', 'similar', 'systems', 'might', 'remain', 'undiscovered', 'because', 'the', 'xrays', 'are', 'difficult', 'to', 'detect', 'and', 'the', 'typei', 'xray', 'bursts', 'might', 'be', 'missed', 'by', 'all', 'sky', 'surveying', 'instruments', 'this', 'source', 'might', 'be', 'part', 'of', 'a', 'class', 'of', 'veryfast', 'transient', 'lowmass', 'xray', 'binary', 'systems', 'of', 'which', 'there', 'may', 'be', 'a', 'significant', 'population', 'in', 'our', 'galaxy']] | [-0.06897611978518996, 0.13988959950145374, -0.0846486477904133, 0.12920912401446613, 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-0.20025022256747582, 0.10789368251284737, -0.008899043743331819] |
709.0062 | Anisotropy of Laser-Induced Bulk Damage of Single Crystals | The regularities of laser-induced damage of anisotropic materials, such as
LiNbO3 and KDP dielectric single crystals, are experimentally studied. It is
revealed that the shape of laser-induced damage in the dielectric crystals
depends on the elastic symmetry of crystal and the propagation direction of the
laser beam. When the beam propagates along the optic axis of crystals, the
figures of the laser damage are six-path stars for LiNbO3 and four-path ones
for KDP crystals. For the direction parallel to X and Y axes in KDP crystal,
the damage has initially cross-like configuration, with further splitting of
Z-oriented crack into two cracks in the process of damage evolution, leading to
transformation of orthogonal-type damage to a hexagonal-type one.
| physics.optics | the regularities of laserinduced damage of anisotropic materials such as linbo3 and kdp dielectric single crystals are experimentally studied it is revealed that the shape of laserinduced damage in the dielectric crystals depends on the elastic symmetry of crystal and the propagation direction of the laser beam when the beam propagates along the optic axis of crystals the figures of the laser damage are sixpath stars for linbo3 and fourpath ones for kdp crystals for the direction parallel to x and y axes in kdp crystal the damage has initially crosslike configuration with further splitting of zoriented crack into two cracks in the process of damage evolution leading to transformation of orthogonaltype damage to a hexagonaltype one | [['the', 'regularities', 'of', 'laserinduced', 'damage', 'of', 'anisotropic', 'materials', 'such', 'as', 'linbo3', 'and', 'kdp', 'dielectric', 'single', 'crystals', 'are', 'experimentally', 'studied', 'it', 'is', 'revealed', 'that', 'the', 'shape', 'of', 'laserinduced', 'damage', 'in', 'the', 'dielectric', 'crystals', 'depends', 'on', 'the', 'elastic', 'symmetry', 'of', 'crystal', 'and', 'the', 'propagation', 'direction', 'of', 'the', 'laser', 'beam', 'when', 'the', 'beam', 'propagates', 'along', 'the', 'optic', 'axis', 'of', 'crystals', 'the', 'figures', 'of', 'the', 'laser', 'damage', 'are', 'sixpath', 'stars', 'for', 'linbo3', 'and', 'fourpath', 'ones', 'for', 'kdp', 'crystals', 'for', 'the', 'direction', 'parallel', 'to', 'x', 'and', 'y', 'axes', 'in', 'kdp', 'crystal', 'the', 'damage', 'has', 'initially', 'crosslike', 'configuration', 'with', 'further', 'splitting', 'of', 'zoriented', 'crack', 'into', 'two', 'cracks', 'in', 'the', 'process', 'of', 'damage', 'evolution', 'leading', 'to', 'transformation', 'of', 'orthogonaltype', 'damage', 'to', 'a', 'hexagonaltype', 'one']] | [-0.1129510779946781, 0.21186122250040634, -0.06115200183060216, -0.07566251870483891, -0.048632758481656775, -0.09658096485419951, 0.0023804706727612044, 0.5083783322357034, -0.28104172691523116, -0.21943800304934644, 0.024204278047188398, -0.3214015501588093, -0.08456644487746975, 0.1716324782097026, 0.02606151273817216, 0.09743554416325009, -0.003844241611659527, -0.04765540331994232, -0.019398885303209618, -0.17265324628495268, 0.2573071623041311, 0.058449397082113774, 0.36136044978507254, 0.03605116983842954, 0.10185431574242548, 0.05178671402105114, 0.10770451656967532, -0.016798176565779407, -0.12248378584658974, 0.07629924519150927, 0.2195031691072999, -0.02509966354588406, 0.1946281400068026, -0.46939381610667497, -0.2493720763411961, -0.007839111831823462, 0.11063076345772858, 0.14533058487761177, -0.060280951807120196, -0.23514645076928692, 0.0438215184973128, -0.05640618836000692, -0.15745388272855626, 0.017829633223938577, -0.025339831177373987, 0.06603244445368386, -0.2010716884968835, 0.05513667933174522, 0.07579266131251004, 0.07678411154305204, -0.07315402246782915, -0.08460423265779882, -0.10291883240151628, 0.010700945030916236, 0.07544734282189318, 0.05308112669164282, 0.21701438311720267, -0.11609650881993666, -0.09294884457465327, 0.4548565561111134, 0.007454563226354749, -0.14312141084749447, 0.08913254910332494, -0.17894225824994991, -0.0377579949257013, 0.23434345849806018, 0.17445078583560852, 0.0907114249620415, -0.11081043669503088, -0.01000219220173006, 0.04913836685233962, 0.17730118554869764, 0.19760566130443885, 0.015881159951452884, 0.16832670519585935, 0.19267295989444838, 0.00017902004254753128, 0.18817311584165222, -0.1472081911500968, -0.0008581060785473438, -0.24300777080076696, -0.2199055497604014, -0.16956031412752182, 0.018561341540414122, -0.0942086001420026, -0.22571910724039762, 0.4276809189958792, 0.061802258445440156, 0.10995904743475349, -0.09142885863343907, 0.22207292260830863, 0.019536714918151694, 0.08652310723667606, -0.048049587729844474, 0.31024402794183087, 0.15906012545976983, 0.0994260489589355, -0.26479757495894374, 0.12983648743676512, -0.02679815088406924] |
709.0063 | Hypergraph-theoretic charaterizations for LOCC incomparable ensembles of
multipartite CAT states | Using graphs and hypergraphs to systematically model collections of arbitrary
subsets of parties representing {\it ensembles (or collections)} of shared
multipartite CAT states, we study transformations between such {\it ensembles}
under {\it local operations and classical communication (LOCC)}. We show using
partial entropic criteria, that any two such distinct ensembles represented by
{\it $r$-uniform hypergraphs} with the same number of hyperedges (CAT states),
are LOCC incomparable for even integers $r\geq 2$, generalizing results in
\cite{mscthesis,sin:pal:kum:sri}. We show that the cardinality of the largest
set of mutually LOCC incomparable ensembles represented by $r$-uniform
hypergraphs for even $r\geq 2$, is exponential in the number of parties. We
also demonstrate LOCC incomparability between two ensembles represented by
3-uniform hypergraphs where partial entropic criteria do not help in
establishing incomparability. Further we characterize LOCC comparability of EPR
graphs in a model where LOCC is restricted to teleportation and edge
destruction. We show that this model is equivalent to one in which LOCC
transformations are carried out through a sequence of operations where each
operation adds at most one new EPR pair.
| quant-ph | using graphs and hypergraphs to systematically model collections of arbitrary subsets of parties representing it ensembles or collections of shared multipartite cat states we study transformations between such it ensembles under it local operations and classical communication locc we show using partial entropic criteria that any two such distinct ensembles represented by it runiform hypergraphs with the same number of hyperedges cat states are locc incomparable for even integers rgeq 2 generalizing results in citemscthesissinpalkumsri we show that the cardinality of the largest set of mutually locc incomparable ensembles represented by runiform hypergraphs for even rgeq 2 is exponential in the number of parties we also demonstrate locc incomparability between two ensembles represented by 3uniform hypergraphs where partial entropic criteria do not help in establishing incomparability further we characterize locc comparability of epr graphs in a model where locc is restricted to teleportation and edge destruction we show that this model is equivalent to one in which locc transformations are carried out through a sequence of operations where each operation adds at most one new epr pair | [['using', 'graphs', 'and', 'hypergraphs', 'to', 'systematically', 'model', 'collections', 'of', 'arbitrary', 'subsets', 'of', 'parties', 'representing', 'it', 'ensembles', 'or', 'collections', 'of', 'shared', 'multipartite', 'cat', 'states', 'we', 'study', 'transformations', 'between', 'such', 'it', 'ensembles', 'under', 'it', 'local', 'operations', 'and', 'classical', 'communication', 'locc', 'we', 'show', 'using', 'partial', 'entropic', 'criteria', 'that', 'any', 'two', 'such', 'distinct', 'ensembles', 'represented', 'by', 'it', 'runiform', 'hypergraphs', 'with', 'the', 'same', 'number', 'of', 'hyperedges', 'cat', 'states', 'are', 'locc', 'incomparable', 'for', 'even', 'integers', 'rgeq', '2', 'generalizing', 'results', 'in', 'citemscthesissinpalkumsri', 'we', 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709.0064 | On the distribution of conjugacy classes between the cosets of a finite
group in a cyclic extension | Let G be a finite group and H a normal subgroup such that G/H is cyclic.
Given a conjugacy class g^G of G we define its centralizing subgroup to be
HC_G(g). Let K be such that H\le K\le G. We show that the G-conjugacy classes
contained in K whose centralizing subgroup is K, are equally distributed
between the cosets of H in K. The proof of this result is entirely elementary.
As an application we find expressions for the number of conjugacy classes of K
under its own action, in terms of quantities relating only to the action of G.
| math.GR | let g be a finite group and h a normal subgroup such that gh is cyclic given a conjugacy class gg of g we define its centralizing subgroup to be hc_gg let k be such that hle kle g we show that the gconjugacy classes contained in k whose centralizing subgroup is k are equally distributed between the cosets of h in k the proof of this result is entirely elementary as an application we find expressions for the number of conjugacy classes of k under its own action in terms of quantities relating only to the action of g | [['let', 'g', 'be', 'a', 'finite', 'group', 'and', 'h', 'a', 'normal', 'subgroup', 'such', 'that', 'gh', 'is', 'cyclic', 'given', 'a', 'conjugacy', 'class', 'gg', 'of', 'g', 'we', 'define', 'its', 'centralizing', 'subgroup', 'to', 'be', 'hc_gg', 'let', 'k', 'be', 'such', 'that', 'hle', 'kle', 'g', 'we', 'show', 'that', 'the', 'gconjugacy', 'classes', 'contained', 'in', 'k', 'whose', 'centralizing', 'subgroup', 'is', 'k', 'are', 'equally', 'distributed', 'between', 'the', 'cosets', 'of', 'h', 'in', 'k', 'the', 'proof', 'of', 'this', 'result', 'is', 'entirely', 'elementary', 'as', 'an', 'application', 'we', 'find', 'expressions', 'for', 'the', 'number', 'of', 'conjugacy', 'classes', 'of', 'k', 'under', 'its', 'own', 'action', 'in', 'terms', 'of', 'quantities', 'relating', 'only', 'to', 'the', 'action', 'of', 'g']] | [-0.2125334417861369, 0.16886286311821114, -0.08295719073426844, -0.05150172929749871, -0.10633829625492747, -0.1279920311221345, 0.04893397882338519, 0.3825921660872421, -0.33879819911236714, -0.28272883065345916, 0.07145455206222268, -0.2699436054311015, -0.09032792302950654, 0.20167419108834983, -0.10688942683521997, -0.09664852861808895, 0.035696441571068285, 0.18767460102728106, -0.03863657448638343, -0.26233695203590096, 0.29626268796702715, -0.0895288632241915, 0.174939906069388, 0.027736664798482313, 0.050341329415037175, -0.042615897704216865, 0.00778051373558213, 0.012428169745500341, -0.12306935212101888, 0.07706549145619977, 0.3176034067315285, 0.12445481531580703, 0.23128414132886313, -0.3012622651653458, -0.15448297572444486, 0.264998989386691, 0.13804460803724147, -0.052594310218336604, -0.0033301747770923557, -0.2356685378936806, 0.19657861155391942, -0.16718025654178076, -0.11023797605638251, -0.04890781823508065, 0.1581092280608536, -0.027627895520341516, -0.28737023732427397, -0.011138539907117986, 0.11816615456094344, 0.111357758306155, 0.01739695827439051, -0.1374773438220298, -0.05028062496296685, 0.11700597236102278, 0.012024648104220478, 0.06449060060667118, 0.09471598546099473, -0.08409090974894964, -0.06966483453523857, 0.44486732227784215, -0.11243183937187147, -0.17822001097403994, 0.11506149294137051, -0.16245330745034448, -0.15866795417880922, 0.10059818471170436, 0.12000564697452566, 0.20138167699027543, -0.06220008211793623, 0.22538558807108797, -0.1701371382282238, 0.08535298952983335, 0.051332147156989034, -0.004891497924961526, 0.11767097530801865, 0.05338330128502966, 0.11260091333715903, 0.1519346128728222, 0.0514831907219357, 0.1108997910603354, -0.414515992570104, -0.1917166096261806, -0.16816276259193516, 0.14021345053921747, -0.11774380664053641, -0.16356593114559095, 0.385526793924245, 0.07655434328310116, 0.18223707089106542, 0.09686092292476031, 0.16119912619269783, 0.09327719407508883, 0.05856423759644832, 0.15760722800600108, 0.03540044959935576, 0.22317061251537365, -0.1642176378518343, -0.21369059485467998, 0.014097122574281511, 0.15985162369906902] |
709.0065 | Renormalized Wick expansion for a modified PQCD | The renormalization scheme for the Wick expansion of a modified version of
the perturbative QCD introduced in previous works is discussed. Massless QCD is
considered, by implementing the usual multiplicative scaling of the gluon and
quark wave functions and vertices. However, also massive quark and gluon
counter-terms are allowed in this mass less theory since the condensates are
expected to generate masses. A natural set of expansion parameters of the
physical quantities is introduced: the coupling itself and to masses $m_q$ and
$m_g$ associated to quarks and gluons respectively. This procedure allows to
implement a dimensional transmutation effect through these new mass scales. A
general expression for the new generating functional in terms of the mass
parameters $m_q$ and $m_g$ is obtained in terms of integrals over arbitrary but
constant gluon or quark fields in each case. Further, the one loop potential,
is evaluated in more detail in the case when only the quark condensate is
retained. This lowest order result again indicates the dynamical generation of
quark condensates in the vacuum.
| hep-ph | the renormalization scheme for the wick expansion of a modified version of the perturbative qcd introduced in previous works is discussed massless qcd is considered by implementing the usual multiplicative scaling of the gluon and quark wave functions and vertices however also massive quark and gluon counterterms are allowed in this mass less theory since the condensates are expected to generate masses a natural set of expansion parameters of the physical quantities is introduced the coupling itself and to masses m_q and m_g associated to quarks and gluons respectively this procedure allows to implement a dimensional transmutation effect through these new mass scales a general expression for the new generating functional in terms of the mass parameters m_q and m_g is obtained in terms of integrals over arbitrary but constant gluon or quark fields in each case further the one loop potential is evaluated in more detail in the case when only the quark condensate is retained this lowest order result again indicates the dynamical generation of quark condensates in the vacuum | [['the', 'renormalization', 'scheme', 'for', 'the', 'wick', 'expansion', 'of', 'a', 'modified', 'version', 'of', 'the', 'perturbative', 'qcd', 'introduced', 'in', 'previous', 'works', 'is', 'discussed', 'massless', 'qcd', 'is', 'considered', 'by', 'implementing', 'the', 'usual', 'multiplicative', 'scaling', 'of', 'the', 'gluon', 'and', 'quark', 'wave', 'functions', 'and', 'vertices', 'however', 'also', 'massive', 'quark', 'and', 'gluon', 'counterterms', 'are', 'allowed', 'in', 'this', 'mass', 'less', 'theory', 'since', 'the', 'condensates', 'are', 'expected', 'to', 'generate', 'masses', 'a', 'natural', 'set', 'of', 'expansion', 'parameters', 'of', 'the', 'physical', 'quantities', 'is', 'introduced', 'the', 'coupling', 'itself', 'and', 'to', 'masses', 'm_q', 'and', 'm_g', 'associated', 'to', 'quarks', 'and', 'gluons', 'respectively', 'this', 'procedure', 'allows', 'to', 'implement', 'a', 'dimensional', 'transmutation', 'effect', 'through', 'these', 'new', 'mass', 'scales', 'a', 'general', 'expression', 'for', 'the', 'new', 'generating', 'functional', 'in', 'terms', 'of', 'the', 'mass', 'parameters', 'm_q', 'and', 'm_g', 'is', 'obtained', 'in', 'terms', 'of', 'integrals', 'over', 'arbitrary', 'but', 'constant', 'gluon', 'or', 'quark', 'fields', 'in', 'each', 'case', 'further', 'the', 'one', 'loop', 'potential', 'is', 'evaluated', 'in', 'more', 'detail', 'in', 'the', 'case', 'when', 'only', 'the', 'quark', 'condensate', 'is', 'retained', 'this', 'lowest', 'order', 'result', 'again', 'indicates', 'the', 'dynamical', 'generation', 'of', 'quark', 'condensates', 'in', 'the', 'vacuum']] | [-0.11064415881315484, 0.24950407931667773, -0.08362807983229327, 0.1184944346821921, -0.05839543957479818, -0.06596898704802423, 0.05202510083557193, 0.31373963715118725, -0.17619819313201102, -0.2349448086921299, 0.035568344287660925, -0.23296833306499878, -0.06212994481503238, 0.14919473504685515, -0.006625722503549484, 0.07263080291395876, 0.02460774646660443, 0.05100606707856059, -0.08991311036651348, -0.29144506693037964, 0.36940274869503326, 0.004686789473432095, 0.19623180234609822, 0.12918767272657172, 0.09581322581128239, -0.010026609296314852, -0.052244087164073666, -0.03985921648969917, -0.09425856298658737, 0.05107294491202527, 0.18334945587902926, 0.026737600416053345, 0.1908753253925635, -0.3512489545960413, -0.18047146468699454, 0.08061135314177549, 0.1587153009469296, 0.11230844338722311, -0.02167361204657598, -0.23752647218413564, 0.07355571506534118, -0.2278317219231191, -0.18933052972478923, -0.11492936878984925, 0.016226809241722318, -0.06483131962886546, -0.3476303487767054, 0.1017013422555634, -0.01964254847333122, -0.028312234597843745, -0.006482987460913137, -0.15494771283810288, -0.06632580592291602, 0.0610286838567591, 0.11462670436865369, 0.09354821642519646, 0.1239444163629953, -0.20545871844021962, -0.09703400270298643, 0.4321541666258993, -0.062214823099016346, -0.20848192104956048, 0.13992352019399837, -0.17172287346600273, -0.11445025080912422, 0.08775164037780446, 0.14635052760998005, 0.1400081988905968, -0.21301299794808878, 0.14705934919732308, -0.013105785008435284, 0.15234878456875206, 0.12497157498187017, 0.06315734329380279, 0.2062918051189288, 0.14831412491675597, -0.013436972309813597, 0.1118456209809411, 0.00041450066782999784, -0.1346296393826907, -0.3518909718408141, -0.11712884221247635, -0.14559415386594443, 0.03213224891560669, -0.15699305711153333, -0.15469168806665165, 0.40297541525261865, 0.1417778639530974, 0.1961036769329397, 0.026637402352292176, 0.31755389157563535, 0.17026565319509585, 0.1251693834878266, 0.06886656295378195, 0.2438860654256978, 0.1961062093235574, 0.10389883470177369, -0.23795659019378945, -0.05083605676326294, 0.1437864243017366] |
709.0066 | Modelling of the influence of nanostructures' sizes on lattice
parameters | Computer modeling of formation of the one-dimensional and three-dimensional
monatomic nanostructures by the method of atom-atom potentials was done. The
arrangement of atoms was defined on the basis of the energy minimum. Our
calculations have shown that the distance between the nearest atoms depends on
number of atoms, thus atoms on boundary of grains of nanoparticles have more
loose packing than in the volume. In three-dimensional nanostructures at
reduction of their sizes increase of the disorder of atoms on positions is
observed. Examination of model nanostructures constructed of bi-atomic
molecules was also carried out. It is shown that distance between the nearest
molecules and their orientation depend on number of molecules surrounding them.
Molecules on boundary of grains of nanoparticles have more friable packing than
in the volume. As in the linear chain, and three-dimensional nanostructures
constructed of bi-atomic molecules, not only the disorder on positions of
molecules depending on the sizes of nanoparticles, but also the orientation
disorder is observed. At increase of the sizes of nanostructures the lattice in
volume becomes more ordered than on boundaries of nanoparticles grains.
| cond-mat.soft cond-mat.dis-nn cond-mat.other | computer modeling of formation of the onedimensional and threedimensional monatomic nanostructures by the method of atomatom potentials was done the arrangement of atoms was defined on the basis of the energy minimum our calculations have shown that the distance between the nearest atoms depends on number of atoms thus atoms on boundary of grains of nanoparticles have more loose packing than in the volume in threedimensional nanostructures at reduction of their sizes increase of the disorder of atoms on positions is observed examination of model nanostructures constructed of biatomic molecules was also carried out it is shown that distance between the nearest molecules and their orientation depend on number of molecules surrounding them molecules on boundary of grains of nanoparticles have more friable packing than in the volume as in the linear chain and threedimensional nanostructures constructed of biatomic molecules not only the disorder on positions of molecules depending on the sizes of nanoparticles but also the orientation disorder is observed at increase of the sizes of nanostructures the lattice in volume becomes more ordered than on boundaries of nanoparticles grains | [['computer', 'modeling', 'of', 'formation', 'of', 'the', 'onedimensional', 'and', 'threedimensional', 'monatomic', 'nanostructures', 'by', 'the', 'method', 'of', 'atomatom', 'potentials', 'was', 'done', 'the', 'arrangement', 'of', 'atoms', 'was', 'defined', 'on', 'the', 'basis', 'of', 'the', 'energy', 'minimum', 'our', 'calculations', 'have', 'shown', 'that', 'the', 'distance', 'between', 'the', 'nearest', 'atoms', 'depends', 'on', 'number', 'of', 'atoms', 'thus', 'atoms', 'on', 'boundary', 'of', 'grains', 'of', 'nanoparticles', 'have', 'more', 'loose', 'packing', 'than', 'in', 'the', 'volume', 'in', 'threedimensional', 'nanostructures', 'at', 'reduction', 'of', 'their', 'sizes', 'increase', 'of', 'the', 'disorder', 'of', 'atoms', 'on', 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709.0067 | Dimensional asymptotics of effective actions on S^n, and proof of
B\"ar-Schopka's conjecture | We study the dimensional asymptotics of the effective actions, or functional
determinants, for the Dirac operator D and Laplacians \Delta +\beta R on round
S^n. For Laplacians the behavior depends on ``the coupling strength'' \beta,
and one cannot in general expect a finite limit of \zeta'(0), and for the
ordinary Laplacian, \beta=0, we prove it to be +\infty, for odd dimensions. For
the Dirac operator, B\"ar and Schopka conjectured a limit of unity for the
determinant ([BS]), i.e. \lim_{n\to\infty}\det(D, S^n_{\mathrm{can}})=1.
We prove their conjecture rigorously, giving asymptotics, as well as a
pattern of inequalities satisfied by the determinants. The limiting value of
unity is a virtue of having ``enough scalar curvature'' and no kernel. Thus for
the important (conformally covariant) Yamabe operator, \beta=(n-2)/(4(n-1)),
the determinant tends to unity.
For the ordinary Laplacian it is natural to rescale spheres to unit volume,
since \lim_{k\to\infty}\det(\Delta, S_\mathrm{rescaled}^{2k+1})=\frac{1}{2\pi
e}.
| math-ph math.MP | we study the dimensional asymptotics of the effective actions or functional determinants for the dirac operator d and laplacians delta beta r on round sn for laplacians the behavior depends on the coupling strength beta and one cannot in general expect a finite limit of zeta0 and for the ordinary laplacian beta0 we prove it to be infty for odd dimensions for the dirac operator bar and schopka conjectured a limit of unity for the determinant bs ie lim_ntoinftydetd sn_mathrmcan1 we prove their conjecture rigorously giving asymptotics as well as a pattern of inequalities satisfied by the determinants the limiting value of unity is a virtue of having enough scalar curvature and no kernel thus for the important conformally covariant yamabe operator betan24n1 the determinant tends to unity for the ordinary laplacian it is natural to rescale spheres to unit volume since lim_ktoinftydetdelta s_mathrmrescaled2k1frac12pi e | [['we', 'study', 'the', 'dimensional', 'asymptotics', 'of', 'the', 'effective', 'actions', 'or', 'functional', 'determinants', 'for', 'the', 'dirac', 'operator', 'd', 'and', 'laplacians', 'delta', 'beta', 'r', 'on', 'round', 'sn', 'for', 'laplacians', 'the', 'behavior', 'depends', 'on', 'the', 'coupling', 'strength', 'beta', 'and', 'one', 'can', 'not', 'in', 'general', 'expect', 'a', 'finite', 'limit', 'of', 'zeta0', 'and', 'for', 'the', 'ordinary', 'laplacian', 'beta0', 'we', 'prove', 'it', 'to', 'be', 'infty', 'for', 'odd', 'dimensions', 'for', 'the', 'dirac', 'operator', 'bar', 'and', 'schopka', 'conjectured', 'a', 'limit', 'of', 'unity', 'for', 'the', 'determinant', 'bs', 'ie', 'lim_ntoinftydetd', 'sn_mathrmcan1', 'we', 'prove', 'their', 'conjecture', 'rigorously', 'giving', 'asymptotics', 'as', 'well', 'as', 'a', 'pattern', 'of', 'inequalities', 'satisfied', 'by', 'the', 'determinants', 'the', 'limiting', 'value', 'of', 'unity', 'is', 'a', 'virtue', 'of', 'having', 'enough', 'scalar', 'curvature', 'and', 'no', 'kernel', 'thus', 'for', 'the', 'important', 'conformally', 'covariant', 'yamabe', 'operator', 'betan24n1', 'the', 'determinant', 'tends', 'to', 'unity', 'for', 'the', 'ordinary', 'laplacian', 'it', 'is', 'natural', 'to', 'rescale', 'spheres', 'to', 'unit', 'volume', 'since', 'lim_ktoinftydetdelta', 's_mathrmrescaled2k1frac12pi', 'e']] | [-0.14996449443777757, 0.12299381672803844, -0.06086316747990038, 0.11371314049132966, -0.07624961114488542, -0.176203787419945, 0.018797087511380334, 0.29275088868370014, -0.2353817891263004, -0.22816427134509598, 0.11189911660289259, -0.31968526815762743, -0.15541306893407766, 0.13343924205983057, -0.012782465526002592, 0.06729987942214523, 0.029023977781512906, 0.13562765075226446, -0.07355988867306483, -0.22371913665639503, 0.3653098173664018, 0.014113031475738223, 0.19333608075643757, 0.10372765171507906, 0.07074590372836351, -0.012708750254075443, 0.025012365497449146, -0.001507797557860613, -0.15501368487519876, 0.08286795992005085, 0.22051131229714624, 0.04489353036374918, 0.23300429592574282, -0.3709059902001172, -0.17031785682276157, 0.175144129830213, 0.17182562927316342, 0.0006464393975745354, 0.034903991500115285, -0.24645835648157766, 0.10933602620914046, -0.11290814084724324, -0.2284376080347491, -0.06954318437658782, 0.0652412797182998, -0.030152538190928422, -0.3358503748097324, 0.09536842606924308, 0.08629593552239904, 0.01842065436316521, -0.02893175524576301, -0.1560757569918808, -0.018460081407933364, 0.10143483862713246, 0.07565401641186327, 0.0019011715925963861, 0.07785441069531121, -0.11353729408568013, -0.05130775732936205, 0.37792233053062646, -0.09240244630990284, -0.27086418344240104, 0.10507731476599085, -0.19150376915931702, -0.11799485844426921, 0.06601235773414374, 0.10688383571604, 0.1590094326795744, -0.054976424455110515, 0.18601747079145362, -0.012226705306966323, 0.0930160044260057, 0.12116505516959088, 0.014536388786759094, 0.1371117918213713, 0.06006556893698871, 0.13738227168297662, 0.10348386707524436, -0.0185876744100824, -0.08455104365046802, -0.32982945810072123, -0.22101958407687822, -0.21954672752014762, 0.1713153673270426, -0.17783843920447648, -0.20580090345548732, 0.3626756153734667, 0.05916055663547013, 0.20402563658010747, 0.12916406349811171, 0.20485933048517577, 0.1984070160176738, 0.07894653446939108, 0.0619258964771039, 0.18708365160346146, 0.20130181705878517, 0.10121135373317104, -0.21043568671281848, -0.016074401113603795, 0.17671936677070335] |
709.0068 | Off-Shell and Interference Effects for SUSY Particle Production | We show that the narrow-width approximation is insufficient for describing
production of supersymmetric particles at the ILC. Especially when cuts are
taken into account to extract signals using the narrow-width approximation can
be wrong by an order of magnitude.
| hep-ph | we show that the narrowwidth approximation is insufficient for describing production of supersymmetric particles at the ilc especially when cuts are taken into account to extract signals using the narrowwidth approximation can be wrong by an order of magnitude | [['we', 'show', 'that', 'the', 'narrowwidth', 'approximation', 'is', 'insufficient', 'for', 'describing', 'production', 'of', 'supersymmetric', 'particles', 'at', 'the', 'ilc', 'especially', 'when', 'cuts', 'are', 'taken', 'into', 'account', 'to', 'extract', 'signals', 'using', 'the', 'narrowwidth', 'approximation', 'can', 'be', 'wrong', 'by', 'an', 'order', 'of', 'magnitude']] | [-0.03147015705680809, 0.1506084284707098, -0.11130128245657453, 0.1633028762612062, -0.04711832417151294, -0.11176420270632474, -0.00835894358654817, 0.33939152325575167, -0.2336100650091584, -0.30077864850560826, 0.06272648579966372, -0.314297738747719, -0.015237413669148317, 0.16316295419939053, 0.06055836026103069, 0.025350514894876726, 0.08182992602292544, -0.006630570985949957, -0.02623352761237094, -0.26148656607629395, 0.25402071424879324, 0.032631001817301296, 0.19300898642112047, 0.09084514874773912, 0.0896612946003771, 0.08919374915795067, -0.014330254358729014, 0.044469500247102514, -0.0689393333407516, 0.05821361127667702, 0.24802547298634472, 0.06363337773543137, 0.18216005894236076, -0.4581568667617364, -0.16537522149678224, 0.13658847259835172, 0.2172881792872571, 0.15981068070500326, -0.002269186795904086, -0.30803633357087773, 0.15779036968850937, -0.146174681898302, -0.08534163070726208, -0.1335192470668027, -0.03230774606792973, -0.049067262369088635, -0.3548643608123828, 0.03478003364916031, 0.0244121681421231, -0.05555102954848479, -0.03477698223641477, -0.15320881957021087, -0.024280582447178088, 0.09323731421579559, 0.08702151444800293, 0.01167160095885778, 0.13522164885981533, -0.15413409013014573, -0.12511048574621478, 0.45641056429117155, -0.0876417947986808, -0.21187723556963298, 0.10234686505431548, -0.1722086639239047, -0.08863572579307052, 0.20513652422680304, 0.2338163984987216, 0.05686256195454357, -0.19740799991958716, 0.1016950378051171, 0.042528941654242, 0.15911780984905094, 0.06617448955344465, -0.0017099275779074584, 0.2043373864621688, 0.1853411045486633, 0.02065642624615859, 0.14098790270956948, -0.10888507604025878, -0.06326153243963535, -0.38224997527103344, -0.09542156899204621, -0.10099696119626363, 0.004158168792342529, -0.07779879199388699, -0.08669416213897654, 0.36570310559219277, 0.16887700931431773, 0.22801655578689697, 0.026266804633614343, 0.33842268557502675, 0.22851278647207296, 0.07415611103463632, 0.04027841518370387, 0.3381017463711592, 0.08858402613669825, 0.004437867265481215, -0.18255379176340425, 0.05585414617776106, 0.08254594317613503] |
709.0069 | On the statistical physics of metastable and non-equilibrium stationary
states | The optimization problems defining meta-stable or stationary equilibrium are
explored. The Gibbs scheme is modified aiming to describe the statistical
properties of a class of non-equilibrium and metastable states. The system is
assumed to maximize the usual definition of the Entropy, subject to the
standard constant energy and norm restrictions, plus additional constraints.
The central assumption is that the existence of the considered metastable state
is determined by the action of this additional dynamical constraint, that
blocks the evolution of the system up to its maximum Entropy state, thus
maintaining it in the metastable or stationary configuration. After requiring
from the statistical description to be valid for the combination of two nearly
independent subsystems, it follows that the eigenvalues of the constraint
operators C should have the restricted homogeneous form C(p{i})=p{i}^{q}, in
terms of the eigenvalues of the density matrix p{i}, where q is a fixed real
number. Therefore, the distribution of the eigenvalues of the constraint
function have the Tsallis structure. This conclusion suggests the
interpretation of the q parameter as reflecting the homogeneous dependence of
the constraint determining the metastable state on the density matrix. An
application to the plasma experiments of Huang and Driscoll is expected to be
considered elsewhere in order to compare the results with Tsallis scheme and
the minimal Enstrophy one.
| cond-mat.stat-mech | the optimization problems defining metastable or stationary equilibrium are explored the gibbs scheme is modified aiming to describe the statistical properties of a class of nonequilibrium and metastable states the system is assumed to maximize the usual definition of the entropy subject to the standard constant energy and norm restrictions plus additional constraints the central assumption is that the existence of the considered metastable state is determined by the action of this additional dynamical constraint that blocks the evolution of the system up to its maximum entropy state thus maintaining it in the metastable or stationary configuration after requiring from the statistical description to be valid for the combination of two nearly independent subsystems it follows that the eigenvalues of the constraint operators c should have the restricted homogeneous form cpipiq in terms of the eigenvalues of the density matrix pi where q is a fixed real number therefore the distribution of the eigenvalues of the constraint function have the tsallis structure this conclusion suggests the interpretation of the q parameter as reflecting the homogeneous dependence of the constraint determining the metastable state on the density matrix an application to the plasma experiments of huang and driscoll is expected to be considered elsewhere in order to compare the results with tsallis scheme and the minimal enstrophy one | [['the', 'optimization', 'problems', 'defining', 'metastable', 'or', 'stationary', 'equilibrium', 'are', 'explored', 'the', 'gibbs', 'scheme', 'is', 'modified', 'aiming', 'to', 'describe', 'the', 'statistical', 'properties', 'of', 'a', 'class', 'of', 'nonequilibrium', 'and', 'metastable', 'states', 'the', 'system', 'is', 'assumed', 'to', 'maximize', 'the', 'usual', 'definition', 'of', 'the', 'entropy', 'subject', 'to', 'the', 'standard', 'constant', 'energy', 'and', 'norm', 'restrictions', 'plus', 'additional', 'constraints', 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709.007 | Origin of supermassive black holes | The origin of supermassive black holes in the galactic nuclei is quite
uncertain in spite of extensive set of observational data. We review the known
scenarios of galactic and cosmological formation of supermassive black holes.
The common drawback of galactic scenarios is a lack of time and shortage of
matter supply for building the supermassive black holes in all galaxies by
means of accretion and merging. The cosmological scenarios are only
fragmentarily developed but propose and pretend to an universal formation
mechanism for supermassive black holes.
| astro-ph | the origin of supermassive black holes in the galactic nuclei is quite uncertain in spite of extensive set of observational data we review the known scenarios of galactic and cosmological formation of supermassive black holes the common drawback of galactic scenarios is a lack of time and shortage of matter supply for building the supermassive black holes in all galaxies by means of accretion and merging the cosmological scenarios are only fragmentarily developed but propose and pretend to an universal formation mechanism for supermassive black holes | [['the', 'origin', 'of', 'supermassive', 'black', 'holes', 'in', 'the', 'galactic', 'nuclei', 'is', 'quite', 'uncertain', 'in', 'spite', 'of', 'extensive', 'set', 'of', 'observational', 'data', 'we', 'review', 'the', 'known', 'scenarios', 'of', 'galactic', 'and', 'cosmological', 'formation', 'of', 'supermassive', 'black', 'holes', 'the', 'common', 'drawback', 'of', 'galactic', 'scenarios', 'is', 'a', 'lack', 'of', 'time', 'and', 'shortage', 'of', 'matter', 'supply', 'for', 'building', 'the', 'supermassive', 'black', 'holes', 'in', 'all', 'galaxies', 'by', 'means', 'of', 'accretion', 'and', 'merging', 'the', 'cosmological', 'scenarios', 'are', 'only', 'fragmentarily', 'developed', 'but', 'propose', 'and', 'pretend', 'to', 'an', 'universal', 'formation', 'mechanism', 'for', 'supermassive', 'black', 'holes']] | [-0.14410628679074444, 0.05556684658408495, -0.006365114400639783, 0.17740565656446095, -0.12382513754134782, -0.06643385537033684, 0.04391762623455116, 0.3283862714157548, -0.14016533161372727, -0.3482133019498961, 0.08792267724747098, -0.3113980411097061, -0.030091725484749605, 0.22671328064833962, -0.0643734754128165, 0.011129831689474888, -0.018316923979761857, -0.06622064222316366, -0.018069666501697758, -0.27208549473001514, 0.3921939831357016, 0.1364998039464618, 0.15655380098195204, -0.03318687998364831, 0.10826597656367, -0.09496001570572167, -0.04179061970911747, -0.026121971024157004, -0.14693375782862436, 0.04608977919574394, 0.2937092570815409, 0.23201505030873557, 0.258127698674798, -0.4453904437724241, -0.2585623810869144, 0.12132057324620397, 0.20665795624061206, 0.14990590718509847, -0.23574898124748278, -0.22282643381202982, 0.109730897871994, -0.2585732744097017, -0.14082079094856284, 0.0244197069970501, 0.0722786097700686, -0.002636150229548992, -0.18909144242359108, 0.14653248336101168, 0.0746792797242876, -0.08485935484384034, -0.13429166099630557, -0.0028254826049601963, -0.046658317837322695, 0.09469044971994536, 0.16456361282291973, 0.013298951749971439, 0.24743185836691842, -0.121286146689293, -0.1398899368941784, 0.427727181182871, 0.05033956412875722, -0.028080841526389122, 0.22169234690278075, -0.2675858772695498, -0.16767222953548785, 0.05775346472686113, 0.18706632187579172, 0.19762687823128736, -0.18109978983980105, 0.09213975374857614, 0.011479936288344825, 0.1752601766384878, 0.043178558563488685, 0.08058387896609168, 0.504385172107885, 0.18888236279057902, 0.0025485603810223036, 0.07897890648847922, -0.10401165673812461, -0.07695966910809106, -0.23194519804806182, -0.06889387438896784, -0.16092318422729582, 0.10123638287836383, -0.18320643709401255, -0.151738890464997, 0.29079448197816693, 0.08188095409423113, 0.22977731068791865, 0.01032086641549371, 0.27544794691713703, -0.028623079107959245, 0.013327546461030494, 0.14220397533621465, 0.35383893789853466, 0.1189449189615241, 0.08692590638367069, -0.23558103533050176, 0.05797153916534816, 0.04319735374951432] |
709.0071 | Theta Series Associated with the Weil-Schroedinger Representation | The Weil representation discovered by Andre Weil plays an important role in
the study of the tranformation properties of theta series. In this paper, we
define the Weil-Schroedinger representation of the Jacobi group and prove that
the theta series associated with the Weil-Schroedinger representation is a
Jacobi form with respect to a suitable arithmetic subgroup of the Jacobi
modular group.
| math.NT math.RT | the weil representation discovered by andre weil plays an important role in the study of the tranformation properties of theta series in this paper we define the weilschroedinger representation of the jacobi group and prove that the theta series associated with the weilschroedinger representation is a jacobi form with respect to a suitable arithmetic subgroup of the jacobi modular group | [['the', 'weil', 'representation', 'discovered', 'by', 'andre', 'weil', 'plays', 'an', 'important', 'role', 'in', 'the', 'study', 'of', 'the', 'tranformation', 'properties', 'of', 'theta', 'series', 'in', 'this', 'paper', 'we', 'define', 'the', 'weilschroedinger', 'representation', 'of', 'the', 'jacobi', 'group', 'and', 'prove', 'that', 'the', 'theta', 'series', 'associated', 'with', 'the', 'weilschroedinger', 'representation', 'is', 'a', 'jacobi', 'form', 'with', 'respect', 'to', 'a', 'suitable', 'arithmetic', 'subgroup', 'of', 'the', 'jacobi', 'modular', 'group']] | [-0.21511051118181185, 0.04970530059478639, -0.16072531244396393, 0.04194433311128925, -0.11179019419219473, -0.02736574473212762, -0.018158911042927026, 0.3134996319382355, -0.3719107723505846, -0.22679329274627702, 0.0778425034047265, -0.22669299635715012, -0.23813655086118599, 0.1758561465760757, -0.10260026738176058, 0.006631068307264098, 0.009532884369475832, 0.1585086377112773, -0.13709444744945987, -0.24143069770572514, 0.4395361051991068, 0.039452700747241234, 0.21937587613175655, -0.0501634723121493, 0.09332425967822301, 0.04428990890175618, -0.046815444044929384, -0.14001420315290833, -0.07535465932433626, 0.19948850523937364, 0.26333006988440094, 0.020964181801336336, 0.27933752478967455, -0.3604351397411063, -0.1167806650768837, 0.14973536030999546, 0.14475608785668836, -0.06152840570450343, -0.04162926400674443, -0.2843349725971448, 0.06113178023650985, -0.1808273707163231, -0.19818108444551713, -0.10823140330291514, 0.049020714431615736, 0.013889252846450385, -0.2345346817104467, 0.016170130737511248, 0.07954174222360397, 0.16949145863603415, -0.023852900377121466, -0.1197002165517288, 0.03093408168582567, 0.08278150530532002, 0.057482303501556406, 0.07890197251730695, 0.05409630414515991, -0.14941608455786803, -0.053596402518451214, 0.4010263534969297, -0.07558663698427122, -0.20242593119498983, 0.047639628486900495, -0.15610984021572974, -0.23562511088776178, 0.07056070889089384, 0.10847149355786628, 0.10833522889377742, -0.029776875202640378, 0.1731727850163789, -0.1640288163747253, 0.08206641946212742, 0.10993166039858399, -0.017952540303291433, 0.11594221657463188, 0.07110131106435738, 0.015790912659903025, 0.16380682799579768, -0.009695939720680552, -0.04584240443314072, -0.34596382569650125, -0.26308040500714863, -0.12110885528141055, 0.07873039432512276, -0.11985770319884538, -0.1909684442497533, 0.43509698989560247, 0.07699746135943408, 0.1785706912873891, 0.09442629686010809, 0.13524694015384361, 0.16223197917108714, 0.06079193512941229, 0.04496212689816181, 0.12374165166040947, 0.25855743069731596, -0.010380088704927215, -0.20303158392198384, 0.03839739707924811, 0.19509580631836734] |
709.0072 | Quasi-Anosov diffeomorphisms of 3-manifolds | In 1969, Hirsch posed the following problem: given a diffeomorphism, and a
compact invariant hyperbolic set, describe its topology and restricted
dynamics. We solve the problem where the hyperbolic invariant set is a closed
3-manifold: if the manifold is orientable, then it is a connected sum of tori
and handles; otherwise it is a connected sum of tori and handles quotiented by
involutions. The dynamics of the diffeomorphisms restricted to these manifolds,
called quasi-Anosov diffeomorphisms, is also classified: it is the connected
sum of DA-diffeomorphisms, quotiented by commuting involutions.
| math.DS | in 1969 hirsch posed the following problem given a diffeomorphism and a compact invariant hyperbolic set describe its topology and restricted dynamics we solve the problem where the hyperbolic invariant set is a closed 3manifold if the manifold is orientable then it is a connected sum of tori and handles otherwise it is a connected sum of tori and handles quotiented by involutions the dynamics of the diffeomorphisms restricted to these manifolds called quasianosov diffeomorphisms is also classified it is the connected sum of dadiffeomorphisms quotiented by commuting involutions | [['in', '1969', 'hirsch', 'posed', 'the', 'following', 'problem', 'given', 'a', 'diffeomorphism', 'and', 'a', 'compact', 'invariant', 'hyperbolic', 'set', 'describe', 'its', 'topology', 'and', 'restricted', 'dynamics', 'we', 'solve', 'the', 'problem', 'where', 'the', 'hyperbolic', 'invariant', 'set', 'is', 'a', 'closed', '3manifold', 'if', 'the', 'manifold', 'is', 'orientable', 'then', 'it', 'is', 'a', 'connected', 'sum', 'of', 'tori', 'and', 'handles', 'otherwise', 'it', 'is', 'a', 'connected', 'sum', 'of', 'tori', 'and', 'handles', 'quotiented', 'by', 'involutions', 'the', 'dynamics', 'of', 'the', 'diffeomorphisms', 'restricted', 'to', 'these', 'manifolds', 'called', 'quasianosov', 'diffeomorphisms', 'is', 'also', 'classified', 'it', 'is', 'the', 'connected', 'sum', 'of', 'dadiffeomorphisms', 'quotiented', 'by', 'commuting', 'involutions']] | [-0.24258065509440546, 0.13765631200195375, -0.05869584892537783, 0.0941989980452821, -0.12975130721778524, -0.16260442762127655, 0.003285160902040926, 0.31351226521655917, -0.3225826743397523, -0.22573064755521377, 0.13017422584049532, -0.3036197765772654, -0.1652733592094261, 0.16406543108380653, -0.17524552496615797, 0.015753126633750402, 0.07683564873613333, 0.07770721315914257, -0.042624673911963, -0.2567421802933412, 0.42581588300791656, -0.09181303799745034, 0.18337246133490803, 0.07300193154051984, 0.18996201279382643, -0.030490243892100723, -0.02904473935698413, 0.08313664281211625, -0.09732829453423619, 0.10023133367543448, 0.2501707327213477, 0.09863742796799423, 0.16959026343168013, -0.3390908633379943, -0.1731941279193217, 0.18192763258279723, 0.12654930356339636, -0.05931123187342151, 0.026698353890837592, -0.3175181179116903, 0.08752864280673252, -0.12440722538369962, -0.18104765748351134, -0.06514473692302337, 0.07653101496080952, -0.04002110518261113, -0.19234908137216486, -0.008553177004862599, 0.1374286114111204, 0.06068678959061138, -0.05061239301920233, 0.013608943755653772, -0.07634810913904486, 0.1354282781090164, 0.0001057276743019677, 0.09259013474432075, 0.10799171339551156, 0.013634889344261452, -0.10801566447216002, 0.42989544685273856, -0.00019751712468198755, -0.3656444568663243, 0.10547057503770868, -0.09918578717307272, -0.18252207470041784, 0.15426083862654527, 0.09774964161756956, 0.19101301073202526, -0.10673584735063328, 0.2118327776684468, -0.16848073328781704, 0.06264781656632708, 0.08548608515147035, -0.0943503133867952, 0.15430102124413347, 0.13683583262503485, 0.16121490055758675, 0.14197086821712385, 0.054698763669214466, -0.057786080742847516, -0.3043245643123307, -0.1514816837893291, -0.1777989617469509, 0.18271980659020218, -0.04848596127637641, -0.18097369799348104, 0.40382319172336295, -0.03355611598288471, 0.16711636493511667, 0.12399284749037841, 0.2576188435883854, 0.06912203064216142, 0.06083222668398362, 0.17378623272419313, 0.08762468374069696, 0.22004257181172512, -0.08918136755131524, -0.15327805783123372, -0.042844826662489635, 0.19979144794210282] |
709.0073 | Static Universe model existing due to the Matter-Dark Energy coupling | The work investigate a static, isotropic and almost homogeneous Universe
containing a real scalar field modeling the Dark-Energy (quintaessence)
interacting with pressureless matter. It is argued that the interaction between
matter and the Dark Energy, is essential for the very existence of the
considered solution. Assuming the possibility that Dark-Energy can be furnished
by the Dilaton (a scalar field reflecting the condensation of string states
with zero angular momentum) we fix the value of scalar field at the origin to
the Planck scale. It became possible to fix the ratio of the amount of Dark
Energy to matter energy, in the currently estimated value 0.7/0.3, and also the
observed magnitude of the Hubble constant. The value of the mass for the scalar
field chosen for fixing the above ratio and Hubble effect strength, results to
be of the order of 10^{-29}cm^{-1}, a small mass which seems to be compatible
with the zero mass of the Dilaton in the lowest approximations.
| gr-qc | the work investigate a static isotropic and almost homogeneous universe containing a real scalar field modeling the darkenergy quintaessence interacting with pressureless matter it is argued that the interaction between matter and the dark energy is essential for the very existence of the considered solution assuming the possibility that darkenergy can be furnished by the dilaton a scalar field reflecting the condensation of string states with zero angular momentum we fix the value of scalar field at the origin to the planck scale it became possible to fix the ratio of the amount of dark energy to matter energy in the currently estimated value 0703 and also the observed magnitude of the hubble constant the value of the mass for the scalar field chosen for fixing the above ratio and hubble effect strength results to be of the order of 1029cm1 a small mass which seems to be compatible with the zero mass of the dilaton in the lowest approximations | [['the', 'work', 'investigate', 'a', 'static', 'isotropic', 'and', 'almost', 'homogeneous', 'universe', 'containing', 'a', 'real', 'scalar', 'field', 'modeling', 'the', 'darkenergy', 'quintaessence', 'interacting', 'with', 'pressureless', 'matter', 'it', 'is', 'argued', 'that', 'the', 'interaction', 'between', 'matter', 'and', 'the', 'dark', 'energy', 'is', 'essential', 'for', 'the', 'very', 'existence', 'of', 'the', 'considered', 'solution', 'assuming', 'the', 'possibility', 'that', 'darkenergy', 'can', 'be', 'furnished', 'by', 'the', 'dilaton', 'a', 'scalar', 'field', 'reflecting', 'the', 'condensation', 'of', 'string', 'states', 'with', 'zero', 'angular', 'momentum', 'we', 'fix', 'the', 'value', 'of', 'scalar', 'field', 'at', 'the', 'origin', 'to', 'the', 'planck', 'scale', 'it', 'became', 'possible', 'to', 'fix', 'the', 'ratio', 'of', 'the', 'amount', 'of', 'dark', 'energy', 'to', 'matter', 'energy', 'in', 'the', 'currently', 'estimated', 'value', '0703', 'and', 'also', 'the', 'observed', 'magnitude', 'of', 'the', 'hubble', 'constant', 'the', 'value', 'of', 'the', 'mass', 'for', 'the', 'scalar', 'field', 'chosen', 'for', 'fixing', 'the', 'above', 'ratio', 'and', 'hubble', 'effect', 'strength', 'results', 'to', 'be', 'of', 'the', 'order', 'of', '1029cm1', 'a', 'small', 'mass', 'which', 'seems', 'to', 'be', 'compatible', 'with', 'the', 'zero', 'mass', 'of', 'the', 'dilaton', 'in', 'the', 'lowest', 'approximations']] | [-0.14875266131579498, 0.18792094149379224, -0.0867137663962343, 0.09131775896176932, -0.0904218067394428, -0.09778723927786503, -0.02096816322389, 0.2887362508999207, -0.2211209247566618, -0.3564859255676783, 0.06069444708638129, -0.24394305106959766, -0.020968933409975864, 0.14095801011883194, 0.05386087680353394, 0.0042565754125531334, -0.025699020280868193, 0.1039684039858889, -0.04137362471429478, -0.2575218478936844, 0.39277321625430184, 0.0919983667952209, 0.21332235440989084, 0.05650666636957115, 0.09725717633750432, -0.050270890349911265, -0.008359624261531648, 0.028290377464145422, -0.16470011485539027, 0.04968087578338241, 0.1704317599544567, 0.06699664276859522, 0.22256299621083692, -0.3406159645697998, -0.20198198270032042, 0.18528207510457775, 0.11948561030764226, 0.09783741313289214, -0.04740791462503279, -0.26689212661991013, 0.06939549227775652, -0.14467019147734758, -0.18967233052111784, -0.02388442386696233, 0.02441957805458975, -0.03439846488461488, -0.27716047925096526, 0.12350438757120967, -0.036384618440289285, -0.04290297958127494, -0.1357032786936888, -0.10994247866711945, -0.049735535708362165, 0.044856040411381214, 0.1502702626771046, 0.06764912064764884, 0.14450923158327425, -0.20636852888414, -0.02090558422069195, 0.397799403583513, -0.148366352971319, -0.16885834476097097, 0.1295041705576019, -0.1523366453593208, -0.07331159753029388, 0.13156794581291137, 0.10653315673698671, 0.06923409532814558, -0.11770379759041191, 0.13992790647198836, -0.005091697944304611, 0.2006601898406361, 0.07279128161748234, 0.03315019391217752, 0.30500906859111937, 0.13398294394564686, 0.050294076005598126, 0.07337787683944136, -0.07416830285558407, -0.10254602071783459, -0.3488873998764195, -0.1600916703184477, -0.20157712003469608, 0.07823818114503653, -0.14318594456424855, -0.1680106189650118, 0.3736095179839036, 0.13465206507782015, 0.21148508142376365, 0.027867820382831452, 0.2940642184731138, 0.12118126414244688, 0.08346174192715058, 0.08721076705658078, 0.33924525978244086, 0.16639096901716688, 0.12855475234410055, -0.25898516183288744, -0.02153471370428046, -0.002247354935241651] |
709.0074 | Submerged turbulence detection with optical satellites | During fall periods in 2002, 2003 and 2004 three major oceanographic
expeditions were carried out in Mamala Bay, Hawaii. These were part of the RASP
Remote Anthropogenic Sensing Program. Ikonos and Quickbird optical satellite
images of sea surface glint revealed ~100 m spectral anomalies in km^2
averaging patches in regions leading from the Honolulu Sand Island Municipal
Outfall diffuser to distances up to 20 km. To determine the mechanisms behind
this phenomenon, the RASP expeditions monitored the waters adjacent to the
outfall with an array of hydrographic, optical and turbulence microstructure
sensors in anomaly and ambient background regions. Drogue tracks and mean
turbulence parameters for 2x10^4 microstructure patches were analyzed to
understand complex turbulence, fossil turbulence and zombie turbulence
near-vertical internal wave transport processes. The dominant mechanism appears
to be generic to stratified natural fluids including planet and star
atmospheres and is termed beamed zombie turbulence maser action (BZTMA). Most
of the bottom turbulent kinetic energy is converted to ~100 m fossil turbulence
waves. These activate secondary (zombie) turbulence in outfall fossil
turbulence patches that transmit heat, mass, chemical species, momentum and
information vertically to the sea surface for detection in an efficient maser
action. The transport is beamed in intermittent mixing chimneys.
| astro-ph | during fall periods in 2002 2003 and 2004 three major oceanographic expeditions were carried out in mamala bay hawaii these were part of the rasp remote anthropogenic sensing program ikonos and quickbird optical satellite images of sea surface glint revealed 100 m spectral anomalies in km2 averaging patches in regions leading from the honolulu sand island municipal outfall diffuser to distances up to 20 km to determine the mechanisms behind this phenomenon the rasp expeditions monitored the waters adjacent to the outfall with an array of hydrographic optical and turbulence microstructure sensors in anomaly and ambient background regions drogue tracks and mean turbulence parameters for 2x104 microstructure patches were analyzed to understand complex turbulence fossil turbulence and zombie turbulence nearvertical internal wave transport processes the dominant mechanism appears to be generic to stratified natural fluids including planet and star atmospheres and is termed beamed zombie turbulence maser action bztma most of the bottom turbulent kinetic energy is converted to 100 m fossil turbulence waves these activate secondary zombie turbulence in outfall fossil turbulence patches that transmit heat mass chemical species momentum and information vertically to the sea surface for detection in an efficient maser action the transport is beamed in intermittent mixing chimneys | [['during', 'fall', 'periods', 'in', '2002', '2003', 'and', '2004', 'three', 'major', 'oceanographic', 'expeditions', 'were', 'carried', 'out', 'in', 'mamala', 'bay', 'hawaii', 'these', 'were', 'part', 'of', 'the', 'rasp', 'remote', 'anthropogenic', 'sensing', 'program', 'ikonos', 'and', 'quickbird', 'optical', 'satellite', 'images', 'of', 'sea', 'surface', 'glint', 'revealed', '100', 'm', 'spectral', 'anomalies', 'in', 'km2', 'averaging', 'patches', 'in', 'regions', 'leading', 'from', 'the', 'honolulu', 'sand', 'island', 'municipal', 'outfall', 'diffuser', 'to', 'distances', 'up', 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709.0075 | Final state hadronic interactions and non-resonant $B^\pm\to
K^\pm\pi^+\pi^-$ decays | We evaluate the non-resonant decay amplitude of the process $B^\pm\to
K^\pm\pi^+ \pi^-$ using an approach based on final state hadronic interactions
described in terms of meson exchanges. We conclude that this mechanism
generates inhomogeneities in the Dalitz plot of the B decay.
| hep-ph hep-ex | we evaluate the nonresonant decay amplitude of the process bpmto kpmpi pi using an approach based on final state hadronic interactions described in terms of meson exchanges we conclude that this mechanism generates inhomogeneities in the dalitz plot of the b decay | [['we', 'evaluate', 'the', 'nonresonant', 'decay', 'amplitude', 'of', 'the', 'process', 'bpmto', 'kpmpi', 'pi', 'using', 'an', 'approach', 'based', 'on', 'final', 'state', 'hadronic', 'interactions', 'described', 'in', 'terms', 'of', 'meson', 'exchanges', 'we', 'conclude', 'that', 'this', 'mechanism', 'generates', 'inhomogeneities', 'in', 'the', 'dalitz', 'plot', 'of', 'the', 'b', 'decay']] | [-0.14136157003117772, 0.2361681719751398, -0.13989873683199333, 0.12307864441643732, -0.017419636726561116, -0.07153998696949423, 0.09799416592662655, 0.27960790284886594, -0.23387835140726188, -0.18005242998280177, -0.0806460701008668, -0.32576333944935626, -0.10472495790298392, 0.13291145624910913, 0.10337433014519332, 0.04617491196386698, 0.10153365516807975, 0.026398951369451314, -0.004968558205291629, -0.16630396514949275, 0.32842200251705034, -0.00363041558189363, 0.22593693900853395, 0.09952025478932916, -0.010480873445730383, 0.07103106758852558, -0.09968941708708681, -0.12794609722204325, -0.15031159298424182, 0.023307412363043647, 0.1224332595550705, 0.14294581473577858, 0.09141489554469179, -0.37895657251611714, -0.08242798782885075, 0.10463166262857934, 0.24541659489637468, 0.07215343586101038, -0.021741853473231015, -0.37246516833036414, 0.07515275641912367, -0.19964085146784782, -0.06778602190770028, -0.13692838975750818, 0.02808976585681482, -0.08806685199279611, -0.3425709536617122, 0.12407541513533854, -0.006867410677553314, 0.030776961456711698, -0.06129399865365973, -0.16595875077721914, 0.0235705878585577, 0.06411205090173497, 0.11304988046446475, 0.06354783776375215, 0.18599266365806505, -0.1136981546976419, -0.17083360854445434, 0.339767501121614, -0.12483516221911442, -0.19820602535747173, 0.07698428666605274, -0.14353042193574878, -0.10899361849921506, 0.16848437678886624, 0.24096533317664048, 0.08401099269891657, -0.18483823167569027, 0.10823869105537064, 0.022709923228476106, 0.19390706590762952, 0.057191089363541545, 0.05309979229733893, 0.1310846648553795, 0.20817877804269877, -0.10444093988526885, 0.13807791210256698, -0.09689028031283581, -0.09817432993795813, -0.41472270276124884, -0.1087625428534499, -0.09684162214398384, 0.04667880240169058, -0.021162432209565873, -0.15188836676591053, 0.4244373991812875, 0.06617481520444882, 0.2807629704021099, -0.03424917529450684, 0.33962146479000405, 0.11673465332516082, -0.005617522900049552, 0.06416840579860457, 0.30768977877933806, 0.15642143540629527, 0.11084580667907508, -0.3408183239218665, 0.0946739965754493, 0.02336512342458818] |
709.0076 | Entropy calculation for a toy black hole | In this note we carry out the counting of states for a black hole in loop
quantum gravity, however assuming an equidistant area spectrum. We find that
this toy-model is exactly solvable, and we show that its behavior is very
similar to that of the correct model. Thus this toy-model can be used as a nice
and simplifying `laboratory' for questions about the full theory.
| gr-qc hep-th math-ph math.MP | in this note we carry out the counting of states for a black hole in loop quantum gravity however assuming an equidistant area spectrum we find that this toymodel is exactly solvable and we show that its behavior is very similar to that of the correct model thus this toymodel can be used as a nice and simplifying laboratory for questions about the full theory | [['in', 'this', 'note', 'we', 'carry', 'out', 'the', 'counting', 'of', 'states', 'for', 'a', 'black', 'hole', 'in', 'loop', 'quantum', 'gravity', 'however', 'assuming', 'an', 'equidistant', 'area', 'spectrum', 'we', 'find', 'that', 'this', 'toymodel', 'is', 'exactly', 'solvable', 'and', 'we', 'show', 'that', 'its', 'behavior', 'is', 'very', 'similar', 'to', 'that', 'of', 'the', 'correct', 'model', 'thus', 'this', 'toymodel', 'can', 'be', 'used', 'as', 'a', 'nice', 'and', 'simplifying', 'laboratory', 'for', 'questions', 'about', 'the', 'full', 'theory']] | [-0.09460485202905078, 0.08198453081400098, -0.16200195677005327, 0.1426335745688098, -0.051836403688559164, -0.1531744350679219, 0.03493256106292113, 0.36220752791716504, -0.2127101541711734, -0.2879352967326458, 0.07825204794868254, -0.26065913854310147, -0.17141044042431391, 0.2253444733778731, -0.07536964711661522, 0.0349385756560458, 0.05850470389884252, 0.07161023631118811, -0.0698677173206726, -0.22698616043019754, 0.29397948008173935, 0.11946383987445958, 0.21155019805480083, 0.06298778140201018, 0.10369661014097241, -0.017749759583519056, 0.06444126125425101, 0.06688661323143885, -0.12208727324334456, 0.076601494240682, 0.259632708497632, 0.11521468387486843, 0.21521306728514342, -0.41282477648212357, -0.2305108871901981, 0.08813368195954424, 0.1757792519692045, 0.1704072395644079, -0.04287843768699811, -0.2068636739339966, 0.1237238115989245, -0.1954754218996431, -0.17078436447594028, -0.07693949010796272, 0.020770784968940113, -0.07177263948385819, -0.2152292852003414, 0.046254901129465835, 0.09511136372502034, 0.01651206276342586, -0.01700526053408304, -0.04397134615394931, 0.029016305592197637, 0.1570831151965719, 0.0484404034823036, 0.0045147898320395214, 0.0832765757965927, -0.11853429077981183, -0.1019796961452812, 0.3792297684515898, -0.04437099964572833, -0.20091532127788433, 0.15131944134616507, -0.18509907226722974, -0.18384304787390507, 0.06404085523233964, 0.10826272641380245, 0.1533257806243805, -0.14629897374946338, 0.11753760971522961, -0.11196305548342375, 0.18882829065506274, 0.04904718559521895, 0.012683129590004682, 0.2922844487314041, 0.12420350287396174, 0.03909709505163706, 0.15971631057954466, -0.028309769269365532, -0.11049732771845391, -0.3466993517600573, -0.16298985498455854, -0.16074990910979417, 0.11070641714076583, -0.04341644044347609, -0.1761256801036115, 0.39424487369564865, 0.1861123972429106, 0.1987113134935498, 0.05362155198191221, 0.24323442374857573, 0.13290874745804243, 0.022680212206278857, 0.07472669071016404, 0.25980906025148354, 0.08532172359812717, 0.05784726708482665, -0.21844867260123674, -0.03236413888919812, 0.01155071878949037] |
709.0077 | Dependence of nuclear binding on hadronic mass variation | We examine how the binding of light ($A\leq 8$) nuclei depends on possible
variations of hadronic masses, including meson, nucleon, and nucleon-resonance
masses. Small variations in hadronic masses may have occurred over time; the
present results can help evaluate the consequences for big bang
nucleosynthesis. Larger variations may be relevant to current attempts to
extrapolate properties of nucleon-nucleon interactions from lattice QCD
calculations. Results are presented as derivatives of the energy with respect
to the different masses so they can be combined with different predictions of
the hadronic mass-dependence on the underlying current-quark mass $m_q$. As an
example, we employ a particular set of relations obtained from a study of
hadron masses and sigma terms based on Dyson-Schwinger equations and a
Poincar\'{e}-covariant Faddeev equation for confined quarks and diquarks. We
find that nuclear binding decreases moderately rapidly as the quark mass
increases, with the deuteron becoming unbound when the pion mass is increased
by $\sim$60% (corresponding to an increase in $X_q=m_q/\Lambda_{QCD}$ of 2.5).
In the other direction, the dineutron becomes bound if the pion mass is
decreased by $\sim$15% (corresponding to a reduction of $X_q$ by $\sim$30%). If
we interpret the disagreement between big bang nucleosynthesis calculations and
measurements to be the result of variation in $X_q$, we obtain an estimate
$\delta X_q/X_q=K \cdot (0.013 \pm 0.002)$ where $K \sim 1$ (the expected
accuracy in $K$ is about a factor of 2). The result is dominated by $^7$Li
data.
| nucl-th astro-ph hep-ph | we examine how the binding of light aleq 8 nuclei depends on possible variations of hadronic masses including meson nucleon and nucleonresonance masses small variations in hadronic masses may have occurred over time the present results can help evaluate the consequences for big bang nucleosynthesis larger variations may be relevant to current attempts to extrapolate properties of nucleonnucleon interactions from lattice qcd calculations results are presented as derivatives of the energy with respect to the different masses so they can be combined with different predictions of the hadronic massdependence on the underlying currentquark mass m_q as an example we employ a particular set of relations obtained from a study of hadron masses and sigma terms based on dysonschwinger equations and a poincarecovariant faddeev equation for confined quarks and diquarks we find that nuclear binding decreases moderately rapidly as the quark mass increases with the deuteron becoming unbound when the pion mass is increased by sim60 corresponding to an increase in x_qm_qlambda_qcd of 25 in the other direction the dineutron becomes bound if the pion mass is decreased by sim15 corresponding to a reduction of x_q by sim30 if we interpret the disagreement between big bang nucleosynthesis calculations and measurements to be the result of variation in x_q we obtain an estimate delta x_qx_qk cdot 0013 pm 0002 where k sim 1 the expected accuracy in k is about a factor of 2 the result is dominated by 7li data | [['we', 'examine', 'how', 'the', 'binding', 'of', 'light', 'aleq', '8', 'nuclei', 'depends', 'on', 'possible', 'variations', 'of', 'hadronic', 'masses', 'including', 'meson', 'nucleon', 'and', 'nucleonresonance', 'masses', 'small', 'variations', 'in', 'hadronic', 'masses', 'may', 'have', 'occurred', 'over', 'time', 'the', 'present', 'results', 'can', 'help', 'evaluate', 'the', 'consequences', 'for', 'big', 'bang', 'nucleosynthesis', 'larger', 'variations', 'may', 'be', 'relevant', 'to', 'current', 'attempts', 'to', 'extrapolate', 'properties', 'of', 'nucleonnucleon', 'interactions', 'from', 'lattice', 'qcd', 'calculations', 'results', 'are', 'presented', 'as', 'derivatives', 'of', 'the', 'energy', 'with', 'respect', 'to', 'the', 'different', 'masses', 'so', 'they', 'can', 'be', 'combined', 'with', 'different', 'predictions', 'of', 'the', 'hadronic', 'massdependence', 'on', 'the', 'underlying', 'currentquark', 'mass', 'm_q', 'as', 'an', 'example', 'we', 'employ', 'a', 'particular', 'set', 'of', 'relations', 'obtained', 'from', 'a', 'study', 'of', 'hadron', 'masses', 'and', 'sigma', 'terms', 'based', 'on', 'dysonschwinger', 'equations', 'and', 'a', 'poincarecovariant', 'faddeev', 'equation', 'for', 'confined', 'quarks', 'and', 'diquarks', 'we', 'find', 'that', 'nuclear', 'binding', 'decreases', 'moderately', 'rapidly', 'as', 'the', 'quark', 'mass', 'increases', 'with', 'the', 'deuteron', 'becoming', 'unbound', 'when', 'the', 'pion', 'mass', 'is', 'increased', 'by', 'sim60', 'corresponding', 'to', 'an', 'increase', 'in', 'x_qm_qlambda_qcd', 'of', '25', 'in', 'the', 'other', 'direction', 'the', 'dineutron', 'becomes', 'bound', 'if', 'the', 'pion', 'mass', 'is', 'decreased', 'by', 'sim15', 'corresponding', 'to', 'a', 'reduction', 'of', 'x_q', 'by', 'sim30', 'if', 'we', 'interpret', 'the', 'disagreement', 'between', 'big', 'bang', 'nucleosynthesis', 'calculations', 'and', 'measurements', 'to', 'be', 'the', 'result', 'of', 'variation', 'in', 'x_q', 'we', 'obtain', 'an', 'estimate', 'delta', 'x_qx_qk', 'cdot', '0013', 'pm', '0002', 'where', 'k', 'sim', '1', 'the', 'expected', 'accuracy', 'in', 'k', 'is', 'about', 'a', 'factor', 'of', '2', 'the', 'result', 'is', 'dominated', 'by', '7li', 'data']] | [-0.0652724537774449, 0.23291242660487704, -0.06674977379309736, 0.1171031030118937, -0.03236651317833408, -0.06623785268468192, 0.055035598588840176, 0.33795378799648473, -0.19853350574559364, -0.32470160214361077, 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709.0078 | Holding strategies in a bus-route model | A major source of delays in public transportation is the clustering
instability, which causes late buses to become progressively later while the
buses trailing it become progressively earlier. In this paper, we study this
instability and how to neutralize it using the common practices of holding and
schedule slack. Starting with an on-time route, we delay one or more buses at a
single stop, and determine how these delays grow over time. We compare the
effects of two different types of holding on the stability of the system, and
briefly investigate how our results change with the use of timepoints.
| physics.soc-ph | a major source of delays in public transportation is the clustering instability which causes late buses to become progressively later while the buses trailing it become progressively earlier in this paper we study this instability and how to neutralize it using the common practices of holding and schedule slack starting with an ontime route we delay one or more buses at a single stop and determine how these delays grow over time we compare the effects of two different types of holding on the stability of the system and briefly investigate how our results change with the use of timepoints | [['a', 'major', 'source', 'of', 'delays', 'in', 'public', 'transportation', 'is', 'the', 'clustering', 'instability', 'which', 'causes', 'late', 'buses', 'to', 'become', 'progressively', 'later', 'while', 'the', 'buses', 'trailing', 'it', 'become', 'progressively', 'earlier', 'in', 'this', 'paper', 'we', 'study', 'this', 'instability', 'and', 'how', 'to', 'neutralize', 'it', 'using', 'the', 'common', 'practices', 'of', 'holding', 'and', 'schedule', 'slack', 'starting', 'with', 'an', 'ontime', 'route', 'we', 'delay', 'one', 'or', 'more', 'buses', 'at', 'a', 'single', 'stop', 'and', 'determine', 'how', 'these', 'delays', 'grow', 'over', 'time', 'we', 'compare', 'the', 'effects', 'of', 'two', 'different', 'types', 'of', 'holding', 'on', 'the', 'stability', 'of', 'the', 'system', 'and', 'briefly', 'investigate', 'how', 'our', 'results', 'change', 'with', 'the', 'use', 'of', 'timepoints']] | [-0.1403089055919554, 0.1334443355923577, -0.08623666231054812, 0.041308155964361506, -0.04236360481358133, -0.14630238382145763, 0.08467254393850453, 0.3811274018697441, -0.28813643094152214, -0.3108783174864948, 0.15812463774345814, -0.290370748732239, -0.1398806387768127, 0.19112708956003188, -0.06426213323138655, 0.006380710545927286, 0.0503856113832444, 0.01724901156267151, -0.036565148308873176, -0.3120585125125945, 0.3146635427442379, 0.06686214164830745, 0.2718530676420778, 0.018706062198616563, 0.05009525504894555, 0.012420886552426964, -0.04748632421717048, 0.002918928514700383, -0.09713142552296632, 0.08577006367500871, 0.21405048022745177, 0.1333034981181845, 0.32980905164033175, -0.4806142839230597, -0.18155805041082204, 0.10708438908215612, 0.12979290603194385, 0.11867987562320195, -0.02549523270296049, -0.224283481920138, 0.0692605735734105, -0.17136811091564597, -0.12907320222468116, -0.0002241510571911931, 0.03431621270021424, 0.0400765394087648, -0.20690615200437606, 0.022302546231076123, 0.027926297718659045, 0.017899855077266692, -0.03258789617451839, -0.048935677510453385, -0.02457674466772005, 0.18348691100487485, 0.10421953907236457, 0.007641741575207561, 0.10331654661917128, -0.10630268276669085, -0.09958577894605697, 0.38328191488981245, -0.02318424655823037, -0.12939782958477736, 0.2150871189078316, -0.10259897543117404, -0.12733802641741931, 0.08564538738690317, 0.24136981967370957, 0.10707691935356706, -0.12561417990829796, -0.06674127594800666, 0.028973852505441756, 0.15416944295167923, 0.118940291646868, 0.012900228882208466, 0.20695129132829607, 0.21115243824198843, 0.13180319778621197, 0.15453031240962445, -0.08144964828854427, -0.1011828486667946, -0.2672289344854653, -0.14976309678517283, -0.08482664096169173, 0.021453721313737333, -0.07042045420443173, -0.12716821525944397, 0.4301033655181527, 0.21723104879260063, 0.2041039181454107, 0.07135912470635958, 0.329102341234684, 0.09958839316270314, 0.07156300871632994, 0.10709941934794187, 0.21695437305606902, 0.024026608255226165, 0.1610529670130927, -0.24129509781021624, 0.07472429301124066, -0.019215261914068832] |
709.0079 | Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square
ring | We re-express the Rashba and Dresselhaus interactions as non-Abelian
spin-orbit gauges and provide a new perspective in understanding the persistent
spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting
system can be transformed into a free electron gas in the equal-strength
Rashba-Dresselhaus [001] linear model, the Dresselhaus [110] linear model, and
a one-dimensional system. A general tight-binding Hamiltonian for non-uniform
spin-orbit interactions and hoppings along arbitrary directions, within the
framework of finite difference method, is obtained. As an application based on
this Hamiltonian, a quantum square ring in contact with two ideal leads is
found to exhibit four states, insulating, spin-filtering, spin-flipping, and
spin-keeping states.
| cond-mat.mes-hall | we reexpress the rashba and dresselhaus interactions as nonabelian spinorbit gauges and provide a new perspective in understanding the persistent spin helix phys rev lett 97 236601 2006 a spinorbit interacting system can be transformed into a free electron gas in the equalstrength rashbadresselhaus 001 linear model the dresselhaus 110 linear model and a onedimensional system a general tightbinding hamiltonian for nonuniform spinorbit interactions and hoppings along arbitrary directions within the framework of finite difference method is obtained as an application based on this hamiltonian a quantum square ring in contact with two ideal leads is found to exhibit four states insulating spinfiltering spinflipping and spinkeeping states | [['we', 'reexpress', 'the', 'rashba', 'and', 'dresselhaus', 'interactions', 'as', 'nonabelian', 'spinorbit', 'gauges', 'and', 'provide', 'a', 'new', 'perspective', 'in', 'understanding', 'the', 'persistent', 'spin', 'helix', 'phys', 'rev', 'lett', '97', '236601', '2006', 'a', 'spinorbit', 'interacting', 'system', 'can', 'be', 'transformed', 'into', 'a', 'free', 'electron', 'gas', 'in', 'the', 'equalstrength', 'rashbadresselhaus', '001', 'linear', 'model', 'the', 'dresselhaus', '110', 'linear', 'model', 'and', 'a', 'onedimensional', 'system', 'a', 'general', 'tightbinding', 'hamiltonian', 'for', 'nonuniform', 'spinorbit', 'interactions', 'and', 'hoppings', 'along', 'arbitrary', 'directions', 'within', 'the', 'framework', 'of', 'finite', 'difference', 'method', 'is', 'obtained', 'as', 'an', 'application', 'based', 'on', 'this', 'hamiltonian', 'a', 'quantum', 'square', 'ring', 'in', 'contact', 'with', 'two', 'ideal', 'leads', 'is', 'found', 'to', 'exhibit', 'four', 'states', 'insulating', 'spinfiltering', 'spinflipping', 'and', 'spinkeeping', 'states']] | [-0.23392753483879133, 0.16911751578931525, -0.01728306919498861, 0.0033704511006362736, -0.03823032478784334, -0.23322293537510735, 0.014405623037710716, 0.36823140530196846, -0.22529258779887074, -0.2828763477715119, -0.07916043827393672, -0.26499815124420906, -0.149557622760218, 0.1773299625327916, 0.018171018417836783, -0.007042857748016996, 0.0072610322517817315, -0.08467162047476587, -0.12521518054330405, -0.24737712181225982, 0.20967639989289893, -0.009340337364503867, 0.2755997454053459, 0.09220947439668102, 0.07515026156280963, 0.09061160076515011, 0.13444646140384786, 0.013650429013343353, -0.15582686570420298, 0.0462844799621962, 0.19542446992588494, -0.12277061200068104, 0.19823213491175887, -0.44401267316754695, -0.18551900097880653, -0.007245915476232767, 0.11324994234568088, 0.18355799167425776, -0.0033641569634881925, -0.3423552856833305, -0.041123470500164294, -0.2770025056417821, -0.14549451649742517, -0.1055746239715449, 0.05363818728101422, -0.020309635736751108, -0.3019180212099597, 0.10711765424172692, 0.0941167200151128, 0.08743948020251854, -0.06782923964344247, -0.07568774497650459, -0.06733808190263105, 0.0033916833959871306, -0.022742266966609883, 0.0781472331519186, 0.11587427193211075, -0.04066877293989132, -0.1471711658732087, 0.4060852882575314, -0.10673161303483934, -0.23524856219454757, 0.18464245603920645, -0.1071027035183572, -0.06065628705282678, 0.10777714452266975, 0.16709494911011238, 0.06761243839238612, -0.18486146739121737, 0.1630675239012937, -0.06855182440617597, 0.1138702974858461, 0.005105521365174286, 0.048059970314531006, 0.27013386204566386, 0.1328150608822844, 0.05835071502649884, 0.12065782879351832, -0.10654478415381163, -0.11131648754455009, -0.24785780086059053, -0.17383854409222896, -0.22277257236474157, 0.10138985484768197, -0.036622186234623925, -0.16956483431265884, 0.4343877981311448, 0.11880533299233131, 0.16827959721943117, -0.025909125407331816, 0.2144592941018208, 0.10633643472760494, 0.02180174238241787, 0.0577618250148898, 0.2450215254058042, 0.21983358025427838, 0.020985532153336296, -0.28061571755042336, -0.01603600467151066, 0.05746172839898686] |
709.008 | Magneto-Acoustic Spectroscopy in Superfluid 3He-B | We have used the recently discovered acoustic Faraday effect in superfluid
3He to perform high resolution spectroscopy of an excited state of the
superfluid condensate. With acoustic cavity interferometry we measure the
rotation of the plane of polarization of a transverse sound wave propagating in
the direction of magnetic field from which we determine the Zeeman energy of
the excited state. We interpret the Lande g-factor, combined with the
zero-field energies of the state, using the theory of Sauls and Serene to
calculate the strength of f -wave interactions in 3He.
| cond-mat.supr-con | we have used the recently discovered acoustic faraday effect in superfluid 3he to perform high resolution spectroscopy of an excited state of the superfluid condensate with acoustic cavity interferometry we measure the rotation of the plane of polarization of a transverse sound wave propagating in the direction of magnetic field from which we determine the zeeman energy of the excited state we interpret the lande gfactor combined with the zerofield energies of the state using the theory of sauls and serene to calculate the strength of f wave interactions in 3he | [['we', 'have', 'used', 'the', 'recently', 'discovered', 'acoustic', 'faraday', 'effect', 'in', 'superfluid', '3he', 'to', 'perform', 'high', 'resolution', 'spectroscopy', 'of', 'an', 'excited', 'state', 'of', 'the', 'superfluid', 'condensate', 'with', 'acoustic', 'cavity', 'interferometry', 'we', 'measure', 'the', 'rotation', 'of', 'the', 'plane', 'of', 'polarization', 'of', 'a', 'transverse', 'sound', 'wave', 'propagating', 'in', 'the', 'direction', 'of', 'magnetic', 'field', 'from', 'which', 'we', 'determine', 'the', 'zeeman', 'energy', 'of', 'the', 'excited', 'state', 'we', 'interpret', 'the', 'lande', 'gfactor', 'combined', 'with', 'the', 'zerofield', 'energies', 'of', 'the', 'state', 'using', 'the', 'theory', 'of', 'sauls', 'and', 'serene', 'to', 'calculate', 'the', 'strength', 'of', 'f', 'wave', 'interactions', 'in', '3he']] | [-0.17098652283343804, 0.22801505789243243, -0.07455119309284222, 0.019507546888684835, -0.04694279643532994, -0.04508119437249971, 0.025597567173683052, 0.3697535199430454, -0.23905615551540485, -0.2935671505037245, -0.025675347063352692, -0.27779082648947345, -0.010738862176927237, 0.18584057945594357, 0.10237813356158497, 0.048986506718722594, -0.023103197013120073, 0.05223577682461057, -0.05887532542244746, -0.12393652116572791, 0.3325061745542501, 0.04188811711475744, 0.2974806961982132, 0.05857708455564884, 0.08510030273368561, -0.0017843040827006757, 0.04376533435104967, 0.017454154945521074, -0.14778487619196812, 0.0771810590970115, 0.22250160806976094, 0.008608106968944871, 0.15894127484656626, -0.4433931278494688, -0.2016302966359225, 0.05449539925493709, 0.13977850852841203, 0.2177147587088377, -0.032766547391784716, -0.3356924410090669, -0.056467401508528456, -0.17301056789398028, -0.18984064623549746, -0.08826620410104374, 0.02608700685975766, 0.018463356650669824, -0.20915085199074104, 0.12014460740201585, 0.0017148762056092312, 0.08697215097209254, -0.11932463058690121, -0.09791235930726423, -0.0576102871852057, 0.06955987875667083, 0.04738830546797304, 0.11785639921244193, 0.10364761570555536, -0.14549236782765076, -0.08257596147666266, 0.33719928335439375, -0.14621228069849926, -0.11791232991758939, 0.11857434610866911, -0.2309171540232805, -0.03382386240575995, 0.16417157674556251, 0.19541028525762177, 0.11226087043082321, -0.05658267324299111, 0.02379767200333875, -0.008808938704193109, 0.19027898962619705, 0.08262375093341529, 0.07428448397543404, 0.21418543538887178, 0.1597079048739173, -0.009262447283797702, 0.15641819017396852, -0.2448013024506988, 0.020731555161086823, -0.24093872355808924, -0.153458357596729, -0.21339102266074905, 0.058740838191274986, 0.0006589469818748881, -0.15403750509658193, 0.42860273810124006, 0.15163831324777105, 0.1734504679647776, -0.056523465930105564, 0.3016436447563407, 0.1453812913048071, 0.04878426201073555, 0.04151717400380441, 0.3625568436397301, 0.26723338825280196, 0.10565141843283897, -0.3586732811361019, -0.01719567220105411, 0.011295363478423966] |
709.0081 | Photospheric processes and magnetic flux tubes | In the first part of these lecture notes, new high-resolution observations of
small-scale magnetic flux concentrations are presented and compared to results
from new three-dimensional magnetohydrodynamic simulations. Special attention
is paid to the physics of faculae and to new three-dimensional radiation
magnetohydrodynamic simulations of the integral layers from the top of the
convection zone to the mid-chromosphere.
The second part is devoted to a few basic properties of magnetic flux tubes,
which can be considered to be an abstraction of the more complicated flux
concentrations known from observations and numerical simulations. We treat
electrical current sheets, the mechanical equilibrium condition at magnetic
interfaces, the equations for constructing a magnetohydrostatic flux tube
embedded in a gravitationally stratified atmosphere, the condition of radiative
equilibrium, and the condition for interchange stability.
| astro-ph | in the first part of these lecture notes new highresolution observations of smallscale magnetic flux concentrations are presented and compared to results from new threedimensional magnetohydrodynamic simulations special attention is paid to the physics of faculae and to new threedimensional radiation magnetohydrodynamic simulations of the integral layers from the top of the convection zone to the midchromosphere the second part is devoted to a few basic properties of magnetic flux tubes which can be considered to be an abstraction of the more complicated flux concentrations known from observations and numerical simulations we treat electrical current sheets the mechanical equilibrium condition at magnetic interfaces the equations for constructing a magnetohydrostatic flux tube embedded in a gravitationally stratified atmosphere the condition of radiative equilibrium and the condition for interchange stability | [['in', 'the', 'first', 'part', 'of', 'these', 'lecture', 'notes', 'new', 'highresolution', 'observations', 'of', 'smallscale', 'magnetic', 'flux', 'concentrations', 'are', 'presented', 'and', 'compared', 'to', 'results', 'from', 'new', 'threedimensional', 'magnetohydrodynamic', 'simulations', 'special', 'attention', 'is', 'paid', 'to', 'the', 'physics', 'of', 'faculae', 'and', 'to', 'new', 'threedimensional', 'radiation', 'magnetohydrodynamic', 'simulations', 'of', 'the', 'integral', 'layers', 'from', 'the', 'top', 'of', 'the', 'convection', 'zone', 'to', 'the', 'midchromosphere', 'the', 'second', 'part', 'is', 'devoted', 'to', 'a', 'few', 'basic', 'properties', 'of', 'magnetic', 'flux', 'tubes', 'which', 'can', 'be', 'considered', 'to', 'be', 'an', 'abstraction', 'of', 'the', 'more', 'complicated', 'flux', 'concentrations', 'known', 'from', 'observations', 'and', 'numerical', 'simulations', 'we', 'treat', 'electrical', 'current', 'sheets', 'the', 'mechanical', 'equilibrium', 'condition', 'at', 'magnetic', 'interfaces', 'the', 'equations', 'for', 'constructing', 'a', 'magnetohydrostatic', 'flux', 'tube', 'embedded', 'in', 'a', 'gravitationally', 'stratified', 'atmosphere', 'the', 'condition', 'of', 'radiative', 'equilibrium', 'and', 'the', 'condition', 'for', 'interchange', 'stability']] | [-0.12578910350111983, 0.12815433419848432, -0.0063649128533143084, 0.0774932646745583, -0.07337848705356009, -0.0564427925455675, -0.004418669363076333, 0.32832616075029364, -0.24878716556122527, -0.34079936768102925, 0.10675430022274668, -0.2410960813449492, -0.07609646435594186, 0.20295709680431173, -0.007337103052122984, 0.04443244753838371, 0.07617795706028119, -0.04367186248418875, -0.04074272999059758, -0.18227415696492244, 0.3166247002518503, 0.1220826188546198, 0.23416384811571334, 0.03191439619695302, 0.03956406054930994, -0.13430951998452656, -0.023427903346600942, 0.05461310865939595, -0.17737517686509818, 0.05174974868532445, 0.2051274433542858, 0.0178500138608797, 0.22149822329993185, -0.5499914413958322, -0.2311532554886071, 0.003677700217849633, 0.11687671832260094, 0.09774906841244047, -0.04433182841842154, -0.25633674919663463, 0.07046466222891468, -0.11324448679806665, -0.13651735170424217, -0.0377429792752082, -0.01894458496826701, 0.02715100056502706, -0.283995221450823, 0.05646252480437397, 0.049255523685133085, 0.09352628928718332, -0.12832005795826262, -0.07893136432539904, -0.10244797942323203, 0.11031325929707236, 0.060499365792566095, 0.006441302744860877, 0.15204230773815652, -0.17186876373898485, -0.0628221196384402, 0.38256550522055477, -0.038149765685375314, -0.17696355045336531, 0.19680632097879425, -0.16777775498849223, -0.12750454620982055, 0.2088097122768886, 0.18045611787692906, 0.1464315891644219, -0.15575264139624778, 0.0026256563196511706, -0.06089313388076789, 0.12921946952337748, 0.023378122943540802, -0.04268579998824862, 0.275088994858379, 0.17748176636814605, 0.022659643851511646, 0.15122684904417838, -0.13918414843465143, -0.09837039570265915, -0.3090421591332415, -0.16314745187173685, -0.14210896712756949, 0.07884792268669116, -0.02507288454899026, -0.2098687962279655, 0.402486760795, 0.16333943893187097, 0.12282529293406697, -0.01101485363960819, 0.3093409343564417, 0.10153106906966514, 0.043804355125757866, 0.09304261866782326, 0.27716985644656233, 0.23666443196998443, 0.1777492771125253, -0.191946255619996, -0.01710815422120504, 0.10617017258846317] |
709.0082 | Observational signatures of Jordan-Brans-Dicke theories of gravity | We analyze the Jordan-Brans-Dicke model (JBD) of gravity, where deviations
from General Relativity (GR) are described by a scalar field non-minimally
coupled to gravity. The theory is characterized by a constant coupling
parameter, $\omega_{\rm JBD}$; GR is recovered in the limit $\omega_{\rm JBD}
\to \infty$. In such theories, gravity modifications manifest at early times,
so that one cannot rely on the usual approach of looking for inconsistencies in
the expansion history and perturbations growth in order to discriminate between
JBD and GR. However, we show that a similar technique can be successfully
applied to early and late times observables instead. Cosmological parameters
inferred extrapolating early-time observations to the present will match those
recovered from direct late-time observations only if the correct gravity theory
is used. We use the primary CMB, as will be seen by the Planck satellite, as
the early-time observable; and forthcoming and planned Supernov{\ae}, Baryonic
Acoustic Oscillations and Weak Lensing experiments as late-time observables. We
find that detection of values of $\omega_{\rm JBD}$ as large as 500 and 1000 is
within reach of the upcoming (2010) and next-generation (2020) experiments,
respectively.
| astro-ph | we analyze the jordanbransdicke model jbd of gravity where deviations from general relativity gr are described by a scalar field nonminimally coupled to gravity the theory is characterized by a constant coupling parameter omega_rm jbd gr is recovered in the limit omega_rm jbd to infty in such theories gravity modifications manifest at early times so that one cannot rely on the usual approach of looking for inconsistencies in the expansion history and perturbations growth in order to discriminate between jbd and gr however we show that a similar technique can be successfully applied to early and late times observables instead cosmological parameters inferred extrapolating earlytime observations to the present will match those recovered from direct latetime observations only if the correct gravity theory is used we use the primary cmb as will be seen by the planck satellite as the earlytime observable and forthcoming and planned supernovae baryonic acoustic oscillations and weak lensing experiments as latetime observables we find that detection of values of omega_rm jbd as large as 500 and 1000 is within reach of the upcoming 2010 and nextgeneration 2020 experiments respectively | [['we', 'analyze', 'the', 'jordanbransdicke', 'model', 'jbd', 'of', 'gravity', 'where', 'deviations', 'from', 'general', 'relativity', 'gr', 'are', 'described', 'by', 'a', 'scalar', 'field', 'nonminimally', 'coupled', 'to', 'gravity', 'the', 'theory', 'is', 'characterized', 'by', 'a', 'constant', 'coupling', 'parameter', 'omega_rm', 'jbd', 'gr', 'is', 'recovered', 'in', 'the', 'limit', 'omega_rm', 'jbd', 'to', 'infty', 'in', 'such', 'theories', 'gravity', 'modifications', 'manifest', 'at', 'early', 'times', 'so', 'that', 'one', 'can', 'not', 'rely', 'on', 'the', 'usual', 'approach', 'of', 'looking', 'for', 'inconsistencies', 'in', 'the', 'expansion', 'history', 'and', 'perturbations', 'growth', 'in', 'order', 'to', 'discriminate', 'between', 'jbd', 'and', 'gr', 'however', 'we', 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709.0083 | Embedding of the Lie superalgebra $D(2, 1 ; \alpha)$ into the Lie
superalgebra of pseudodifferential symbols on $S^{1|2}$ | We obtain an embedding of a one-parameter family of exceptional simple Lie
superalgebras $D(2, 1 ; \alpha)$ into the Lie superalgebra of
pseudodifferential symbols on the supercircle $S^{1|2}$. Correspondingly, there
is an embedding of $D(2, 1 ; \alpha)$ into a nontrivial central extension of
the derived contact superconformal algebra $K'(4)$ realized in terms of
$4\times 4$ matrices over a Weyl algebra.
| math-ph math.MP | we obtain an embedding of a oneparameter family of exceptional simple lie superalgebras d2 1 alpha into the lie superalgebra of pseudodifferential symbols on the supercircle s12 correspondingly there is an embedding of d2 1 alpha into a nontrivial central extension of the derived contact superconformal algebra k4 realized in terms of 4times 4 matrices over a weyl algebra | [['we', 'obtain', 'an', 'embedding', 'of', 'a', 'oneparameter', 'family', 'of', 'exceptional', 'simple', 'lie', 'superalgebras', 'd2', '1', 'alpha', 'into', 'the', 'lie', 'superalgebra', 'of', 'pseudodifferential', 'symbols', 'on', 'the', 'supercircle', 's12', 'correspondingly', 'there', 'is', 'an', 'embedding', 'of', 'd2', '1', 'alpha', 'into', 'a', 'nontrivial', 'central', 'extension', 'of', 'the', 'derived', 'contact', 'superconformal', 'algebra', 'k4', 'realized', 'in', 'terms', 'of', '4times', '4', 'matrices', 'over', 'a', 'weyl', 'algebra']] | [-0.2092382321449912, 0.07445676928293354, 0.022321560964682848, 0.02952914472503619, -0.0855463874542107, -0.22084938691360717, -0.05123202983779296, 0.33663016444040555, -0.25549522990960694, -0.19208952573806806, 0.11042891906661187, -0.2782823654302096, -0.15042410557300356, 0.1664788504880932, -0.06649824984419017, -0.06253433613485451, -0.038262882802667, 0.18365194646925745, -0.1988840273549875, -0.22624677195513654, 0.36207902791388963, -0.06796601964002949, 0.15932721153525162, -0.04353178521397255, 0.13922084310739222, 0.028588207067637626, 0.06533302111409099, -0.07654347261256081, -0.1757892880951828, 0.12859662236858918, 0.280638882558856, 0.028001704450570427, 0.14137573477070212, -0.3382274218819151, -0.14409918469076943, 0.13645018701110098, 0.25671970875839056, -0.020060455221367086, -0.018436532224907334, -0.2924077355034523, 0.055054529869960525, -0.24576482906053632, -0.13523856117942576, -0.02425664472314766, 0.10704762029256355, -0.12864943532967718, -0.2545569131537577, 0.027451786334957866, 0.16166733675715278, 0.14291893338816145, -0.09668941892904498, -0.145914082052344, -0.06958509359698174, 0.05785092598585002, -0.08421807198280121, 0.02078068531828664, 0.09887371752884681, -0.07634673030825995, -0.15702769128700433, 0.33370318376139535, -0.0008562556546875986, -0.22106731051610687, 0.05557663400531194, -0.19753477686297907, -0.22647731139529811, 0.13918186541078453, 0.061146313987546046, 0.1211709575727582, -0.06315511955990125, 0.26113615297096765, -0.10829718654059757, 0.10003609192889121, 0.09544117451976922, -0.00961905715087334, 0.1261163477359687, 0.12011472123154139, 0.07604678346128282, 0.11373345623329534, 0.03753451203880042, -0.01909991546328795, -0.397330940527431, -0.19706790010302755, -0.14907744463722586, 0.2180315583975891, -0.24015958651000538, -0.15421423156572095, 0.41185706373998676, 0.04227095218848879, 0.22051776633834688, 0.09249111001332433, 0.08726001715571699, 0.15787434737371692, 0.14997437013849868, 0.05288900742780859, 0.11572145433875464, 0.2750928097136192, -0.016175450853829793, -0.11796972983500968, -0.1802881786804962, 0.2113649297221485] |
709.0084 | A Fixed Point Conjecture | Inverse limits, unlike direct limits, can in general be void, [1]. The
existence of fixed points for arbitrary mappings $T : X \longrightarrow X$ is
conjectured to be equivalent with the fact that related direct limits of all
finite partitions of X are not void.
| math.GM | inverse limits unlike direct limits can in general be void 1 the existence of fixed points for arbitrary mappings t x longrightarrow x is conjectured to be equivalent with the fact that related direct limits of all finite partitions of x are not void | [['inverse', 'limits', 'unlike', 'direct', 'limits', 'can', 'in', 'general', 'be', 'void', '1', 'the', 'existence', 'of', 'fixed', 'points', 'for', 'arbitrary', 'mappings', 't', 'x', 'longrightarrow', 'x', 'is', 'conjectured', 'to', 'be', 'equivalent', 'with', 'the', 'fact', 'that', 'related', 'direct', 'limits', 'of', 'all', 'finite', 'partitions', 'of', 'x', 'are', 'not', 'void']] | [-0.13250514505092392, 0.13284395545170727, -0.04330088511448015, 0.051935324395096606, -0.08790854694300586, -0.11470888339152391, 0.0746894350106066, 0.3677324265326289, -0.28106254775246436, -0.20764365962664175, 0.11543001015194353, -0.27261121524497867, -0.04967236407736147, 0.19835768747990104, -0.03615084337070584, 0.022054888202216138, -0.003007617419246923, 0.050202356609092516, -0.13967903186461295, -0.2810186288658191, 0.304306182671677, -0.050299498570066964, 0.2447666332591325, 0.07819768151437695, 0.11237316845323551, -0.03990390422669324, -0.011881792452186346, 0.05361087098241445, -0.1649696515002936, 0.07504815282300115, 0.3120999426834963, 0.10121737194078212, 0.1506186083001508, -0.35271167145533994, -0.1831456549804319, 0.2576874989211898, 0.16444201118693771, -0.003530059729448774, 0.02838455809449608, -0.274942864716815, 0.21270198410969565, -0.0951425840824165, -0.10905179538002069, -0.005471318261697888, 0.09502243186050857, 0.088154016147283, -0.29665596128060395, 0.06104536075145006, 0.12441805267537182, 0.008312780791046944, -0.01221407045059922, -0.13176148852322844, -0.05079716781619936, 0.09942823317198252, 0.009432550069918349, 0.07252351150170645, 0.11775967317887327, -0.06475134708241305, -0.10488427095961841, 0.3816341530023651, -0.04817547310482372, -0.2396361823193729, 0.1807310420342467, -0.20095215155743062, -0.14243694776880808, 0.17596215778956487, 0.07495415344072337, 0.1563588220795447, -0.08873366208916361, 0.2517130524237556, -0.12893792406909846, 0.12073605173182758, 0.10632451495621353, 0.000597054547556168, 0.21321949242106217, 0.09350155867551538, 0.14718404130756177, 0.07363394266311926, -0.008692989644425159, -0.011161420928229663, -0.39255473675968294, -0.15293747579297898, -0.18720302713071843, 0.12894355872446217, -0.13376158579988193, -0.13547594169027766, 0.22462042175572028, 0.11359441844450141, 0.2585564673116261, 0.06783355848694389, 0.17020990534431554, 0.15082068883136593, 0.018506834325803953, 0.020507034327072852, 0.1886847822037949, 0.16144082657146183, -0.04275153998539529, -0.09820290774487975, 0.03824358807072382, 0.1139736636753448] |
709.0085 | Sodium vacancy ordering and the co-existence of localized spins and
itinerant charges in NaxCoO2 | The sodium cobaltate family (NaxCoO2) is unique among transition metal oxides
because the Co sits on a triangular lattice and its valence can be tuned over a
wide range by varying the Na concentration x. Up to now detailed modeling of
the rich phenomenology (which ranges from unconventional superconductivity to
enhanced thermopower) has been hampered by the difficulty of controlling pure
phases. We discovered that certain Na concentrations are specially stable and
are associated with superlattice ordering of the Na clusters. This leads
naturally to a picture of co-existence of localized spins and itinerant charge
carriers. For x = 0.84 we found a remarkably small Fermi energy of 87 K. Our
picture brings coherence to a variety of measurements ranging from NMR to
optical to thermal transport. Our results also allow us to take the first step
towards modeling the mysterious ``Curie-Weiss'' metal state at x = 0.71. We
suggest the local moments may form a quantum spin liquid state and we propose
experimental test of our hypothesis.
| cond-mat.str-el | the sodium cobaltate family naxcoo2 is unique among transition metal oxides because the co sits on a triangular lattice and its valence can be tuned over a wide range by varying the na concentration x up to now detailed modeling of the rich phenomenology which ranges from unconventional superconductivity to enhanced thermopower has been hampered by the difficulty of controlling pure phases we discovered that certain na concentrations are specially stable and are associated with superlattice ordering of the na clusters this leads naturally to a picture of coexistence of localized spins and itinerant charge carriers for x 084 we found a remarkably small fermi energy of 87 k our picture brings coherence to a variety of measurements ranging from nmr to optical to thermal transport our results also allow us to take the first step towards modeling the mysterious curieweiss metal state at x 071 we suggest the local moments may form a quantum spin liquid state and we propose experimental test of our hypothesis | [['the', 'sodium', 'cobaltate', 'family', 'naxcoo2', 'is', 'unique', 'among', 'transition', 'metal', 'oxides', 'because', 'the', 'co', 'sits', 'on', 'a', 'triangular', 'lattice', 'and', 'its', 'valence', 'can', 'be', 'tuned', 'over', 'a', 'wide', 'range', 'by', 'varying', 'the', 'na', 'concentration', 'x', 'up', 'to', 'now', 'detailed', 'modeling', 'of', 'the', 'rich', 'phenomenology', 'which', 'ranges', 'from', 'unconventional', 'superconductivity', 'to', 'enhanced', 'thermopower', 'has', 'been', 'hampered', 'by', 'the', 'difficulty', 'of', 'controlling', 'pure', 'phases', 'we', 'discovered', 'that', 'certain', 'na', 'concentrations', 'are', 'specially', 'stable', 'and', 'are', 'associated', 'with', 'superlattice', 'ordering', 'of', 'the', 'na', 'clusters', 'this', 'leads', 'naturally', 'to', 'a', 'picture', 'of', 'coexistence', 'of', 'localized', 'spins', 'and', 'itinerant', 'charge', 'carriers', 'for', 'x', '084', 'we', 'found', 'a', 'remarkably', 'small', 'fermi', 'energy', 'of', '87', 'k', 'our', 'picture', 'brings', 'coherence', 'to', 'a', 'variety', 'of', 'measurements', 'ranging', 'from', 'nmr', 'to', 'optical', 'to', 'thermal', 'transport', 'our', 'results', 'also', 'allow', 'us', 'to', 'take', 'the', 'first', 'step', 'towards', 'modeling', 'the', 'mysterious', 'curieweiss', 'metal', 'state', 'at', 'x', '071', 'we', 'suggest', 'the', 'local', 'moments', 'may', 'form', 'a', 'quantum', 'spin', 'liquid', 'state', 'and', 'we', 'propose', 'experimental', 'test', 'of', 'our', 'hypothesis']] | [-0.12190620971462095, 0.19806209126913762, -0.05379721556133759, 0.014670482644858962, -0.03144754273452269, -0.1601161476286375, 0.13091200408006806, 0.3852246320197718, -0.2606234236238861, -0.31675713763611546, -0.007753155800494287, -0.326791407777479, -0.07474725898663816, 0.1693571685330875, 0.016663281160442446, -0.011584753990425807, -0.025446822307162345, -0.04486266331864992, -0.13283865511941959, -0.21000692831543105, 0.2704167590862812, 0.02086910283815744, 0.2992911333770839, 0.0915021915804014, 0.060309050356441865, -0.05066476916159357, 0.10064383040754551, 0.0326253832009318, -0.13534468808373562, 0.11050799191846647, 0.2802750974772947, -0.02491132348231657, 0.19693779361052774, -0.3868016603750637, -0.23317710659186164, 0.044482378503700425, 0.13373556822196142, 0.13592998793626385, -0.0943913304952467, -0.290507761610066, 0.06943701884214183, -0.1439459467452603, -0.15376128102035588, -0.12413384448119764, 0.008279044405523553, -0.004059174378768608, -0.2603870403380638, 0.08561100990140491, 0.062461651839226126, 0.07848890955105468, -0.08219944653508018, -0.16436126970136203, -0.051662844023667276, 0.07972716211049583, 0.014395884623896914, 0.04903076291406886, 0.14778433294850402, -0.07995464166321971, -0.059062159704381084, 0.37654425634782346, -0.05362836703102677, -0.06034777350639588, 0.22414727809457444, -0.2013129369252823, -0.10606017220254808, 0.19467053087203798, 0.12295263166418748, 0.09093353101781693, -0.1272156951561183, 0.056545639462510955, -0.034734661516267806, 0.20961787087242512, 0.01453377632003457, 0.08377628881170089, 0.28898343930290227, 0.19738397481065828, 0.02626060895167336, 0.10808582564939308, -0.1336521965438214, -0.09040416061530361, -0.21015361182571177, -0.17456387207634377, -0.1689162008220285, 0.10513949875876936, -0.08287744219407876, -0.1490287522382821, 0.3884459523784266, 0.14179326275206475, 0.21346444534193948, -0.05397476943094755, 0.17032560339921254, 0.06414283014110189, 0.03592333776304072, -0.00012251431773225945, 0.20777915588282722, 0.1645878546812336, 0.11402342026192044, -0.2583724381402135, 0.09505546156945358, -0.008554228932136693] |
709.0086 | A wildland fire model with data assimilation | A wildfire model is formulated based on balance equations for energy and
fuel, where the fuel loss due to combustion corresponds to the fuel reaction
rate. The resulting coupled partial differential equations have coefficients
that can be approximated from prior measurements of wildfires. An ensemble
Kalman filter technique with regularization is then used to assimilate
temperatures measured at selected points into running wildfire simulations. The
assimilation technique is able to modify the simulations to track the
measurements correctly even if the simulations were started with an erroneous
ignition location that is quite far away from the correct one.
| math.NA | a wildfire model is formulated based on balance equations for energy and fuel where the fuel loss due to combustion corresponds to the fuel reaction rate the resulting coupled partial differential equations have coefficients that can be approximated from prior measurements of wildfires an ensemble kalman filter technique with regularization is then used to assimilate temperatures measured at selected points into running wildfire simulations the assimilation technique is able to modify the simulations to track the measurements correctly even if the simulations were started with an erroneous ignition location that is quite far away from the correct one | [['a', 'wildfire', 'model', 'is', 'formulated', 'based', 'on', 'balance', 'equations', 'for', 'energy', 'and', 'fuel', 'where', 'the', 'fuel', 'loss', 'due', 'to', 'combustion', 'corresponds', 'to', 'the', 'fuel', 'reaction', 'rate', 'the', 'resulting', 'coupled', 'partial', 'differential', 'equations', 'have', 'coefficients', 'that', 'can', 'be', 'approximated', 'from', 'prior', 'measurements', 'of', 'wildfires', 'an', 'ensemble', 'kalman', 'filter', 'technique', 'with', 'regularization', 'is', 'then', 'used', 'to', 'assimilate', 'temperatures', 'measured', 'at', 'selected', 'points', 'into', 'running', 'wildfire', 'simulations', 'the', 'assimilation', 'technique', 'is', 'able', 'to', 'modify', 'the', 'simulations', 'to', 'track', 'the', 'measurements', 'correctly', 'even', 'if', 'the', 'simulations', 'were', 'started', 'with', 'an', 'erroneous', 'ignition', 'location', 'that', 'is', 'quite', 'far', 'away', 'from', 'the', 'correct', 'one']] | [0.004170817859965015, 0.09054923324865925, -0.11923935719348766, 0.035258721209805916, -0.05698908875430269, -0.15738439656394934, 0.026887929575441748, 0.35425338898880443, -0.28606072896426277, -0.32274824890251064, 0.13535763384128102, -0.3141495269837276, -0.07329676414326745, 0.1913559337084809, -0.06772502921331598, 0.07630044318336461, 0.08904501112838446, 0.03467161264638797, -0.040969147049935956, -0.22715898731970513, 0.23539211499333687, 0.15013683036121786, 0.26070324435107867, -0.010056713035292163, 0.15187474377738425, -0.051571422416897376, -0.041675749595980256, 0.002083423330652889, -0.11948035991520797, 0.012140479463874837, 0.27949842502724154, 0.1007462351734997, 0.2676158320890473, -0.48141150798040383, -0.238562808524133, 0.10927270292019357, 0.1223234727085397, 0.11829630924122674, -0.03014326785668512, -0.2459585619520168, 0.07558559266166115, -0.153994610590138, -0.13925200329062395, -0.052632241386312006, -0.036075176571362784, 0.04035259437823326, -0.3351023424635356, 0.058362102178780705, -0.022755497106712083, -0.01773591140731789, -0.09397095786787722, -0.09612412847654551, -0.07488579067834582, 0.13414633310072085, 0.034391901887031465, 0.032508666076215116, 0.1932402907226862, -0.07800551803606771, -0.04396252460036503, 0.3796274514336671, -0.060268295679374466, -0.2174036480861773, 0.1761042121156328, -0.07065167215804817, -0.0784689730641489, 0.20247011422654804, 0.2047218042615877, 0.10586197531249907, -0.19844032081832386, -0.009834953612880781, -0.01284264508938911, 0.200751518602578, 0.05697347612443323, -0.08877372960274925, 0.16044251936753945, 0.171598992302149, 0.07106961989632751, 0.08094224980699696, -0.11634311283586965, -0.13212829402396076, -0.2411841891744003, -0.07991475722638472, -0.15825170408506706, 0.0428298876943941, -0.052532076848847836, -0.11594850077670678, 0.3262341627328448, 0.20936340862666541, 0.18219953477952858, 0.006253345270774194, 0.31946833283469384, 0.1723193807351612, 0.08630889382840572, 0.07265817729948677, 0.22696778433140824, 0.12876535447704016, 0.1226086949178835, -0.2476270965452553, 0.11371556359191178, 0.07828345335069664] |
709.0087 | Research News -- Quantum Mechanical Entanglement and Tests of CPT
Theorem with Neutral Mesons at e+ e- Colliders | We review the recent confirmation of quantum entanglement in e+ e- collisions
at the BELLE experiment at KEK-B in Japan with neutral B- mesons, and at the
KLOE experiment at the DAFNE in Italy with neutral K- mesons. Such effects in
the latter system seen already in proton-antiproton collisions by the CPLEAR
experiment are also reviewed for purposes of comparison. In addition, the KLOE
experiment provides new tests of the CPT theorem and are briefly discussed.
| physics.pop-ph hep-ph physics.ed-ph quant-ph | we review the recent confirmation of quantum entanglement in e e collisions at the belle experiment at kekb in japan with neutral b mesons and at the kloe experiment at the dafne in italy with neutral k mesons such effects in the latter system seen already in protonantiproton collisions by the cplear experiment are also reviewed for purposes of comparison in addition the kloe experiment provides new tests of the cpt theorem and are briefly discussed | [['we', 'review', 'the', 'recent', 'confirmation', 'of', 'quantum', 'entanglement', 'in', 'e', 'e', 'collisions', 'at', 'the', 'belle', 'experiment', 'at', 'kekb', 'in', 'japan', 'with', 'neutral', 'b', 'mesons', 'and', 'at', 'the', 'kloe', 'experiment', 'at', 'the', 'dafne', 'in', 'italy', 'with', 'neutral', 'k', 'mesons', 'such', 'effects', 'in', 'the', 'latter', 'system', 'seen', 'already', 'in', 'protonantiproton', 'collisions', 'by', 'the', 'cplear', 'experiment', 'are', 'also', 'reviewed', 'for', 'purposes', 'of', 'comparison', 'in', 'addition', 'the', 'kloe', 'experiment', 'provides', 'new', 'tests', 'of', 'the', 'cpt', 'theorem', 'and', 'are', 'briefly', 'discussed']] | [-0.053790917840639225, 0.19924149754163073, -0.09484618730034287, 0.05675761391237182, 0.033787377920050765, -0.17601485817546123, 0.0143670560516368, 0.2910735190012737, -0.10667931952660806, -0.2616101319573844, -0.013337597002789966, -0.43588546782388893, 0.015244161416041223, 0.1817823611261127, 0.05315256146346464, 0.12091462603329044, 0.143837983891564, 0.024087385332677513, -5.758472558993258e-05, -0.2322850739277017, 0.24832786207920626, 0.16750185357982686, 0.25726608397733225, 0.13955538761556932, 0.03895161636663895, 0.003676062493468635, -0.08019291106488947, -0.03510996575565323, -0.12094566720464316, 0.03222074123837765, 0.3294344909342104, 0.14932472825363985, 0.1762944685883428, -0.4188665845799015, -0.03437913863576556, 0.11669281886057242, 0.0710802756274413, 0.0782854609914418, -0.10019730888521544, -0.40273160578094813, 0.07558495850504474, -0.17832161942006727, -0.16507879422217803, -0.005132943342782949, 0.06155504247075633, -0.05053720125119741, -0.2674767837222469, 0.045421989604380396, -0.04583508069136817, 0.1736110308127919, -0.009412277457733197, -0.2391332984384223, 0.05072422477563745, -0.047279395702245985, 0.05714050251500387, 0.07111833528860619, 0.14738060066500971, -0.10215690393478756, -0.20993166441391958, 0.3528360200947837, -0.08017554455364007, -0.04704873751554834, 0.20146207044538306, -0.2767620880438603, -0.1560121537308748, 0.05725823628324035, 0.20235781587268176, 0.005753294809868461, -0.2099570835952794, 0.11975657344201433, -0.04814180957787597, 0.07005324525954693, 0.12173385837262399, 0.07154516718889538, 0.17772064981737026, 0.21752230168663358, -0.007614668740547802, 0.08871897925181609, -0.07283486100526429, -0.04842286554508304, -0.4703921030955634, -0.14436257171205638, -0.08023002578288708, 0.004053325588373761, 0.04820191571037101, 0.04874687632055659, 0.3309992573616144, 0.08045954287272732, 0.2553537881957661, -0.08255411680836819, 0.28467556662661464, 0.03769943448959997, 0.0028054757498658114, 0.05284093566067321, 0.3611032251562727, 0.14182611568723683, 0.23846361668486343, -0.26874949330905157, 0.005494317121031743, 0.015569325086146005] |
709.0088 | Revisiting Quaternionic Dual Electrodynamics | Dual electrodynamics and corresponding Maxwell's equations (in the presence
of monopole only) are revisited from dual symmetry and accordingly the
quaternionic reformulation of field equations and equation of motion is
developed in simple, compact and consistent manner.
| hep-th | dual electrodynamics and corresponding maxwells equations in the presence of monopole only are revisited from dual symmetry and accordingly the quaternionic reformulation of field equations and equation of motion is developed in simple compact and consistent manner | [['dual', 'electrodynamics', 'and', 'corresponding', 'maxwells', 'equations', 'in', 'the', 'presence', 'of', 'monopole', 'only', 'are', 'revisited', 'from', 'dual', 'symmetry', 'and', 'accordingly', 'the', 'quaternionic', 'reformulation', 'of', 'field', 'equations', 'and', 'equation', 'of', 'motion', 'is', 'developed', 'in', 'simple', 'compact', 'and', 'consistent', 'manner']] | [-0.12586288264877088, 0.08725283669647635, -0.07361045197860615, 0.033141884062363694, -0.16434207003613985, -0.13938004480725205, -0.05752032079003953, 0.2951728944238779, -0.21333920301215067, -0.26823856872884005, 0.0730175294070127, -0.2573876423207489, -0.18410296300174417, 0.14714188717708393, -0.07513252955332801, 0.03434501706647712, -0.029844026295216503, 0.07504427422945564, -0.12628597922220425, -0.15539792451906848, 0.33285477878274145, -0.023381529816401167, 0.2935442532337195, -0.04180266238698686, 0.17676640739916144, 0.005603580785965598, -0.029274933308369253, 0.09758093619618464, -0.04389318290191728, 0.10698351659182762, 0.1816756804096135, 0.0444094164649377, 0.1564917113329913, -0.49676106170423934, -0.17995400313992757, 0.0172701186966151, 0.14840990562948422, 0.10446106117671809, -0.10202186240034329, -0.34552516999679644, 0.03692709344967797, -0.11445211327156506, -0.1913259733669661, -0.09721422829740756, 0.03304577784021259, -0.01515422560073234, -0.22270035476902048, 0.1395889464765787, 0.044688072728899284, 0.033061778021825326, -0.1853937357286545, -0.05508767430846755, -0.026022417244274874, 0.02607900186164959, 0.024455318158190395, 0.04738466806609083, 0.07409407415213315, -0.1493904375395662, -0.10603824259109192, 0.414359030288619, -0.06921464028592045, -0.2856526027458745, 0.13149621017982024, -0.12613644966905987, -0.10229189138595216, 0.14452304524633833, 0.151509953687924, 0.18921259146284414, -0.2087691579819531, 0.17635950933814654, -0.06350113058815131, 0.10987266996321646, 0.06644728680367808, 0.013688524052299358, 0.19697722988958294, 0.06947591810210331, 0.014975093733015898, 0.1026093366908262, 0.04024727919415848, -0.21420315683290764, -0.40073195542838125, -0.16541726101894635, -0.14055373429043874, 0.10072794611993674, -0.08181288317191994, -0.13127074239624514, 0.3496835497333794, 0.11843537030791915, 0.09116940592994562, 0.0035960306035908492, 0.2507501380467737, 0.2002020965997331, 0.042026546053789755, 0.08920536556507687, 0.2605802104682536, 0.26551141657841365, 0.10676997691090848, -0.26657684411022914, -0.11237861051199001, 0.17466826774683353] |
709.0089 | New q-Euler numbers and polynomials associated with p-adic q-integrals | In this paper we study q-Euler numbers and polynomials by using p-adic
q-fermionic integrals on Z_p. The methods to study q-Euler numbers and
polynomials in this paper are new.
| math.NT | in this paper we study qeuler numbers and polynomials by using padic qfermionic integrals on z_p the methods to study qeuler numbers and polynomials in this paper are new | [['in', 'this', 'paper', 'we', 'study', 'qeuler', 'numbers', 'and', 'polynomials', 'by', 'using', 'padic', 'qfermionic', 'integrals', 'on', 'z_p', 'the', 'methods', 'to', 'study', 'qeuler', 'numbers', 'and', 'polynomials', 'in', 'this', 'paper', 'are', 'new']] | [-0.25052422870482716, 0.0985391229457621, -0.13152809321348155, 0.08563933992991224, -0.09766898264310189, -0.02464537914576275, 0.03769607267375769, 0.29331405547314454, -0.31984350324741434, -0.2481004489319665, 0.051628912740852684, -0.25744946726730894, -0.2766217428392598, 0.25418480911425184, -0.16271637992135116, 0.04561684303916991, 0.006827845770333495, -0.04860368277877569, -0.07879887143748679, -0.35821192312453476, 0.48629468572991236, -0.03668037509279592, 0.14310689120819525, 0.015155447314360313, 0.024275698233395815, -0.035205678665079176, -0.07071431626432709, -0.09365093016198703, -0.23813233872143819, 0.20638335083744355, 0.3070347959292121, 0.05945577025080898, 0.28582697215356995, -0.3724724291158574, -0.04067816725000739, 0.2119323095040662, 0.21097181848849036, 0.0056654829531908035, -0.0048217200216770706, -0.24512394943407603, 0.06970196782744356, -0.19909633416682482, -0.15630518573535873, -0.19443908267255341, -0.00546416307666472, 0.1978834834049589, -0.2860870524974806, 0.0574793053092435, -0.03855889749580196, 0.2328151174089206, 0.0037906189349346925, -0.19844325418983186, 0.15972468350862204, -0.03605160855555108, 0.08753094815516047, 0.0020678150301266995, -0.04549266649077514, -0.10625976046347725, -0.2075368947615581, 0.3514162546822003, -0.0005086249148007482, -0.28200480581394266, 0.08461089312498059, -0.2397997716408489, -0.33404569153208286, 0.028443333160664355, 0.23608347414327518, 0.23313070807073796, -0.0723085175268352, 0.09486841616204142, -0.14210664623949146, 0.026051009073853493, 0.19814147479233465, -0.0011867606746298926, 0.15394265128166548, -0.05411396095795291, -0.08933053228871099, 0.24959969560482673, -0.007631724592231747, -0.05051133728453091, -0.27671724717531887, -0.26381107326596975, -0.1676399649919144, 0.01870689770605947, -0.06890883260036519, -0.1281028733189617, 0.44726003014615606, 0.18141744665003248, 0.14332253033561365, 0.20511358227979923, 0.23739329765417747, 0.1720153549020844, 0.0012381225491740874, -0.03849069627800158, 0.013038212366934334, 0.2598511373175175, 0.08519836190888393, -0.10123546527964729, -0.0893335276549416, 0.25281485251616687] |
709.009 | Accretion onto the Companion of Eta Carinae During the Spectroscopic
Event. V. the Infrared Decline | We propose that the decline in the near-IR flux from the massive binary
system Eta Carinae during the spectroscopic event might be explained by
accreted mass that absorbs the radiation from the secondary star, and by that
reduces the heating of the dust that is responsible for the near-IR emission.
This binary system has an orbital period of 2024 days and eccentricity of
e~0.9. The emission in several bands declines for several weeks near every
periastron passages, in what is termed the spectroscopic event. In the
accretion model for the spectroscopic event the secondary star accretes mass
from the primary's wind for ~10 weeks near every periastron passage. The mass
is accreted mainly in the equatorial plane. The disk and its wind block the
secondary's radiation from heating dust that does not reside within narrow
cones along the symmetry axis. This, we propose, might explain the decline in
the near-IR flux occurring at the beginning of each spectroscopic event. We
also argue that the increase in the near-IR prior to the event might be
accounted for by enhanced hot (T~1700 K) dust formation in the collision region
of the winds from the two stars. This dust resides within ~60 degrees from the
equatorial plane, and most of it cannot be heated by the secondary during the
accretion phase.
| astro-ph | we propose that the decline in the nearir flux from the massive binary system eta carinae during the spectroscopic event might be explained by accreted mass that absorbs the radiation from the secondary star and by that reduces the heating of the dust that is responsible for the nearir emission this binary system has an orbital period of 2024 days and eccentricity of e09 the emission in several bands declines for several weeks near every periastron passages in what is termed the spectroscopic event in the accretion model for the spectroscopic event the secondary star accretes mass from the primarys wind for 10 weeks near every periastron passage the mass is accreted mainly in the equatorial plane the disk and its wind block the secondarys radiation from heating dust that does not reside within narrow cones along the symmetry axis this we propose might explain the decline in the nearir flux occurring at the beginning of each spectroscopic event we also argue that the increase in the nearir prior to the event might be accounted for by enhanced hot t1700 k dust formation in the collision region of the winds from the two stars this dust resides within 60 degrees from the equatorial plane and most of it cannot be heated by the secondary during the accretion phase | [['we', 'propose', 'that', 'the', 'decline', 'in', 'the', 'nearir', 'flux', 'from', 'the', 'massive', 'binary', 'system', 'eta', 'carinae', 'during', 'the', 'spectroscopic', 'event', 'might', 'be', 'explained', 'by', 'accreted', 'mass', 'that', 'absorbs', 'the', 'radiation', 'from', 'the', 'secondary', 'star', 'and', 'by', 'that', 'reduces', 'the', 'heating', 'of', 'the', 'dust', 'that', 'is', 'responsible', 'for', 'the', 'nearir', 'emission', 'this', 'binary', 'system', 'has', 'an', 'orbital', 'period', 'of', '2024', 'days', 'and', 'eccentricity', 'of', 'e09', 'the', 'emission', 'in', 'several', 'bands', 'declines', 'for', 'several', 'weeks', 'near', 'every', 'periastron', 'passages', 'in', 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709.0091 | Gaseous Flows in Galaxies | The gas component plays a major role in the dynamics of spiral galaxies,
because of its dissipative character, and its ability to exchange angular
momentum with stars in the disk. Due to its small velocity dispersion, it
triggers gravitational instabilities, and the corresponding non-axisymmetric
patterns produce gravity torques, which mediate these angular momentum
exchanges. When a srong bar pattern develops with the same pattern speed all
over the disk, only gas inside corotation can flow towards the center. But
strong bars are not long lived in presence of gas, and multiple-speed spiral
patterns can develop between bar phases, and help the galaxy to accrete
external gas flowing from cosmic filaments. The gas is then intermittently
driven to the galaxy center, to form nuclear starbursts and fuel an active
nucleus. The various time-scales of these gaseous flows are described.
| astro-ph | the gas component plays a major role in the dynamics of spiral galaxies because of its dissipative character and its ability to exchange angular momentum with stars in the disk due to its small velocity dispersion it triggers gravitational instabilities and the corresponding nonaxisymmetric patterns produce gravity torques which mediate these angular momentum exchanges when a srong bar pattern develops with the same pattern speed all over the disk only gas inside corotation can flow towards the center but strong bars are not long lived in presence of gas and multiplespeed spiral patterns can develop between bar phases and help the galaxy to accrete external gas flowing from cosmic filaments the gas is then intermittently driven to the galaxy center to form nuclear starbursts and fuel an active nucleus the various timescales of these gaseous flows are described | [['the', 'gas', 'component', 'plays', 'a', 'major', 'role', 'in', 'the', 'dynamics', 'of', 'spiral', 'galaxies', 'because', 'of', 'its', 'dissipative', 'character', 'and', 'its', 'ability', 'to', 'exchange', 'angular', 'momentum', 'with', 'stars', 'in', 'the', 'disk', 'due', 'to', 'its', 'small', 'velocity', 'dispersion', 'it', 'triggers', 'gravitational', 'instabilities', 'and', 'the', 'corresponding', 'nonaxisymmetric', 'patterns', 'produce', 'gravity', 'torques', 'which', 'mediate', 'these', 'angular', 'momentum', 'exchanges', 'when', 'a', 'srong', 'bar', 'pattern', 'develops', 'with', 'the', 'same', 'pattern', 'speed', 'all', 'over', 'the', 'disk', 'only', 'gas', 'inside', 'corotation', 'can', 'flow', 'towards', 'the', 'center', 'but', 'strong', 'bars', 'are', 'not', 'long', 'lived', 'in', 'presence', 'of', 'gas', 'and', 'multiplespeed', 'spiral', 'patterns', 'can', 'develop', 'between', 'bar', 'phases', 'and', 'help', 'the', 'galaxy', 'to', 'accrete', 'external', 'gas', 'flowing', 'from', 'cosmic', 'filaments', 'the', 'gas', 'is', 'then', 'intermittently', 'driven', 'to', 'the', 'galaxy', 'center', 'to', 'form', 'nuclear', 'starbursts', 'and', 'fuel', 'an', 'active', 'nucleus', 'the', 'various', 'timescales', 'of', 'these', 'gaseous', 'flows', 'are', 'described']] | [-0.16090325915009837, 0.1753873174364023, -0.08153692162629929, 0.07095133422562332, -0.09181307341136477, -0.03893177762545426, -0.03470004628830151, 0.38062232760164666, -0.2937435899203753, -0.28253737309098464, 0.041049018513363345, -0.2705403074676938, -0.03793665431165958, 0.16223654726876274, 0.024367246996422075, -0.03587284961994395, 0.0011418377655311761, -0.06267162074115784, -0.015162395783323412, -0.20259158265167465, 0.2944967419093968, 0.0862971281971755, 0.18677755686118924, 0.0016322707602097687, 0.0804939602051437, -0.08289217809215188, -0.031066664104240343, -0.04154045740313664, -0.11734246452825199, 0.02265265168149627, 0.21930641285143793, 0.03114336052471224, 0.23293800158974, -0.4995879525565268, -0.2065684234696485, 0.09157741121838198, 0.22334735058179564, 0.11253741798110936, -0.08272253948962316, -0.26334714911782237, 0.05459768932846868, -0.2213273822545649, -0.19562917490667828, -0.01636113441268475, 0.07289144928183626, 0.043900553263751245, -0.19705010631108, 0.16150303060010843, 0.09764111802146277, 0.0396446447882815, -0.08551042398475521, -0.014996142914135228, -0.10362967403403565, 0.12408566298857776, 0.09514265189714291, 0.10999591008636772, 0.3068762121787158, -0.18452695074409028, 0.013594024783849497, 0.4081725025590619, -0.05205931469647433, -0.12752147875589265, 0.27670493318617123, -0.23697735553597502, -0.06318500573294894, 0.16352421176955378, 0.19665594844520776, 0.031880528353640865, -0.09661918466875197, -0.02124158415795939, -0.012571282558115748, 0.16566057725439726, 0.06942222100983866, 0.05530013271752122, 0.38646981856821666, 0.08831755151143572, 0.054027759696884246, 0.09112152636653799, -0.17293213371543542, -0.1264065217136008, -0.22197194913785687, -0.09875087401151712, -0.07341073775366086, 0.02821684140304997, -0.08102303579985079, -0.11705877418588738, 0.33082860475919645, 0.051205412692712234, 0.2429579773452133, -0.035906023879172556, 0.3214536165161168, 0.045945169213262166, 0.14520971888936507, 0.17767540739698554, 0.2935380496029906, 0.19858925450963022, 0.10144564786819768, -0.31399083323605526, 0.08546385689131807, 0.0067274639389806375] |
709.0092 | Theorie ergodique des fractions rationnelles sur un corps ultrametrique | We make the first steps towards an understanding of the ergodic properties of
a rational map defined over a complete algebraically closed non-archimedean
field. For such a rational map R, we construct a natural invariant probability
measure m_R which reprensents the asymptotic distribution of preimages of
non-exceptional point. We show that this measure is exponentially mixing, and
satisfies the central limit theorem. We prove some general bounds on the metric
entropy of m_R, and on the topological entropy of R. We finally prove that
rational maps with vanishing topological entropy have potential good reduction.
| math.DS | we make the first steps towards an understanding of the ergodic properties of a rational map defined over a complete algebraically closed nonarchimedean field for such a rational map r we construct a natural invariant probability measure m_r which reprensents the asymptotic distribution of preimages of nonexceptional point we show that this measure is exponentially mixing and satisfies the central limit theorem we prove some general bounds on the metric entropy of m_r and on the topological entropy of r we finally prove that rational maps with vanishing topological entropy have potential good reduction | [['we', 'make', 'the', 'first', 'steps', 'towards', 'an', 'understanding', 'of', 'the', 'ergodic', 'properties', 'of', 'a', 'rational', 'map', 'defined', 'over', 'a', 'complete', 'algebraically', 'closed', 'nonarchimedean', 'field', 'for', 'such', 'a', 'rational', 'map', 'r', 'we', 'construct', 'a', 'natural', 'invariant', 'probability', 'measure', 'm_r', 'which', 'reprensents', 'the', 'asymptotic', 'distribution', 'of', 'preimages', 'of', 'nonexceptional', 'point', 'we', 'show', 'that', 'this', 'measure', 'is', 'exponentially', 'mixing', 'and', 'satisfies', 'the', 'central', 'limit', 'theorem', 'we', 'prove', 'some', 'general', 'bounds', 'on', 'the', 'metric', 'entropy', 'of', 'm_r', 'and', 'on', 'the', 'topological', 'entropy', 'of', 'r', 'we', 'finally', 'prove', 'that', 'rational', 'maps', 'with', 'vanishing', 'topological', 'entropy', 'have', 'potential', 'good', 'reduction']] | [-0.19944705083085004, 0.07413190696779663, -0.14998938776152107, 0.10617504440127842, -0.01965417326377925, -0.12884427393756567, 0.07707535116983358, 0.31885209558181143, -0.29378763542220154, -0.1711387564077653, 0.08788323538097483, -0.2816127485205089, -0.1537546462226679, 0.19911403277067727, -0.10168997014764217, 0.04905703227205943, 0.006625435949723807, 0.1135553252903284, -0.11910689066875205, -0.2613174056206199, 0.36818961946854506, -0.03505868252406838, 0.25881832948214906, 0.08453718698032761, 0.1616873537210287, 0.005179936551959604, -0.03896591456366643, 0.029791768702868652, -0.23554566277830075, 0.10119984850728063, 0.22941383787540978, 0.11038323328079234, 0.22214442109989543, -0.3243371527842296, -0.15974546797693737, 0.2100006520688053, 0.12186073513341046, 0.022610901488161455, -0.04546591269493263, -0.2598284088395616, 0.15481172143531743, -0.14808114606045908, -0.18178859952416632, -0.11233999175570344, 0.06857195256343011, 0.03356814152130517, -0.27718245594571994, 0.004021986648039792, 0.14005973180054979, 0.1456683673745682, -0.04343348709485864, -0.0580416665905686, -0.044566286016776355, 0.10564811369003628, 0.022875126363629456, 0.07725116567966599, 0.11660636025130429, -0.0917437821301201, -0.06418200105588923, 0.3111044166068877, -0.13563572758901363, -0.20758804500663794, 0.13118527396031285, -0.1623815612977631, -0.1716526682158151, 0.0848054957666224, 0.1187885343397577, 0.1562289011774845, -0.07432224423003693, 0.17677266011390114, -0.1162436127222033, 0.1097210218910233, 0.06293576503152488, 0.0689173086717855, 0.19547818240619474, 0.06840224330744116, 0.18436808050209555, 0.17294336287605186, -0.0387607846479182, -0.08445215412485664, -0.36410244656426294, -0.22669401152500063, -0.16805388520581907, 0.16491310637674586, -0.15573570920844182, -0.20738021154031758, 0.4028874155113934, 0.11376626029991174, 0.2162183346977878, 0.18145464208622974, 0.23875839311269023, 0.1580295795024002, 7.688850214484559e-05, 0.07155466416189747, 0.158742565277686, 0.17668801624207728, -0.01185266448370111, -0.14502310441426372, -0.00022236835612084277, 0.15319985816235182] |
709.0093 | Data formats for numerical relativity waves | This document proposes data formats to exchange numerical relativity results,
in particular gravitational waveforms. The primary goal is to further the
interaction between gravitational-wave source modeling groups and the
gravitational-wave data-analysis community. We present a simple and extendable
format which is applicable to various kinds of gravitational wave sources
including binaries of compact objects and systems undergoing gravitational
collapse, but is nevertheless sufficiently general to be useful for other
purposes.
| gr-qc | this document proposes data formats to exchange numerical relativity results in particular gravitational waveforms the primary goal is to further the interaction between gravitationalwave source modeling groups and the gravitationalwave dataanalysis community we present a simple and extendable format which is applicable to various kinds of gravitational wave sources including binaries of compact objects and systems undergoing gravitational collapse but is nevertheless sufficiently general to be useful for other purposes | [['this', 'document', 'proposes', 'data', 'formats', 'to', 'exchange', 'numerical', 'relativity', 'results', 'in', 'particular', 'gravitational', 'waveforms', 'the', 'primary', 'goal', 'is', 'to', 'further', 'the', 'interaction', 'between', 'gravitationalwave', 'source', 'modeling', 'groups', 'and', 'the', 'gravitationalwave', 'dataanalysis', 'community', 'we', 'present', 'a', 'simple', 'and', 'extendable', 'format', 'which', 'is', 'applicable', 'to', 'various', 'kinds', 'of', 'gravitational', 'wave', 'sources', 'including', 'binaries', 'of', 'compact', 'objects', 'and', 'systems', 'undergoing', 'gravitational', 'collapse', 'but', 'is', 'nevertheless', 'sufficiently', 'general', 'to', 'be', 'useful', 'for', 'other', 'purposes']] | [-0.15424022270433072, 0.08159076147712767, -0.06346549361145921, 0.14287987362393842, -0.17322890012791115, -0.11952710381842085, -0.024893332502272512, 0.3899627126154623, -0.21234403449509826, -0.29275055055040866, 0.08224733681916925, -0.254010042840881, -0.1516599116979965, 0.29508065884666784, -0.024519239060048548, 0.02157448244148067, 0.13624598933217516, -0.013197103306447388, -0.05563616046815046, -0.202587088225742, 0.3508166830321508, 0.10692116977380854, 0.19349402605688998, -0.0044247660519821305, 0.05657274433178827, 0.014427810787622418, -0.07089742912378694, -0.017317756092441933, -0.08998347637908799, 0.10940598790932979, 0.37201079034462703, 0.22476978207539236, 0.2064402686698096, -0.41043671579765423, -0.24262162945898516, 0.09904799720804607, 0.08197555136367944, 0.19729479332288194, -0.08814330599935992, -0.3340627912565001, 0.07312517250621957, -0.27016291374872836, -0.10231826328007239, -0.0786141553361501, 0.08464415064414164, 0.0598110371867993, -0.26017379841235067, 0.054170589378502755, 0.04670359665178694, -0.0376307328763817, -0.062120828145582764, -0.03875642567540386, 0.05746412503898942, 0.1334555547418339, 0.06687608778011053, 0.0719972515146115, 0.11968391027434595, -0.08808599477301218, -0.10404255143366754, 0.48285180596368654, -0.035475319610642535, -0.20618721536759818, 0.25728285536170004, -0.13623889318800397, -0.17761234468115228, 0.12646772917692684, 0.21903804040380886, 0.10836724402782108, -0.19840468299974287, 0.011509133220949609, 0.1217068491372629, 0.21750628189849003, 0.07227193705205406, 0.04841350805031003, 0.3247418373823166, 0.15980921755877456, 0.020766289359224695, 0.12280278645838345, -0.08203973304480314, -0.031559549804244726, -0.2966664151488138, -0.07485311948694288, -0.1626875537181539, 0.005670115618392759, -0.08065870539888108, -0.16084859020193107, 0.36281202434163007, 0.17057003040931054, 0.024937797657081057, 0.0380050131236203, 0.3115966052881309, 0.044029244832095825, 0.03318724093426551, 0.052726395315091525, 0.270480442459562, 0.13451018883247992, 0.11905024372972547, -0.1080250714140545, 0.00946895026468805, -0.002692326038543667] |
709.0094 | Nonresonant microwave absorption in epitaxial La-Sr-Mn-O films and its
relation to colossal magnetoresistance | We study magnetic-field-dependent nonresonant microwave absorption and
dispersion in thin La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ films and show that it
originates from the colossal magnetoresistance. We develop the model for
magnetoresistance of a thin ferromagnetic film in oblique magnetic field. The
model accounts fairly well for our experimental findings, as well as for
results of other researchers. We demonstrate that nonresonant microwave
absorption is a powerful technique that allows contactless measurement of
magnetic properties of thin films, including magnetoresistance, anisotropy
field and coercive field.
| cond-mat.str-el cond-mat.mtrl-sci | we study magneticfielddependent nonresonant microwave absorption and dispersion in thin la_07sr_03mno_3 films and show that it originates from the colossal magnetoresistance we develop the model for magnetoresistance of a thin ferromagnetic film in oblique magnetic field the model accounts fairly well for our experimental findings as well as for results of other researchers we demonstrate that nonresonant microwave absorption is a powerful technique that allows contactless measurement of magnetic properties of thin films including magnetoresistance anisotropy field and coercive field | [['we', 'study', 'magneticfielddependent', 'nonresonant', 'microwave', 'absorption', 'and', 'dispersion', 'in', 'thin', 'la_07sr_03mno_3', 'films', 'and', 'show', 'that', 'it', 'originates', 'from', 'the', 'colossal', 'magnetoresistance', 'we', 'develop', 'the', 'model', 'for', 'magnetoresistance', 'of', 'a', 'thin', 'ferromagnetic', 'film', 'in', 'oblique', 'magnetic', 'field', 'the', 'model', 'accounts', 'fairly', 'well', 'for', 'our', 'experimental', 'findings', 'as', 'well', 'as', 'for', 'results', 'of', 'other', 'researchers', 'we', 'demonstrate', 'that', 'nonresonant', 'microwave', 'absorption', 'is', 'a', 'powerful', 'technique', 'that', 'allows', 'contactless', 'measurement', 'of', 'magnetic', 'properties', 'of', 'thin', 'films', 'including', 'magnetoresistance', 'anisotropy', 'field', 'and', 'coercive', 'field']] | [-0.15922053153044544, 0.13727342590573244, -0.01722790829371661, -0.012323152301541995, -0.11066492816898972, -0.1362371803028509, 0.015545994957210495, 0.4637290719896555, -0.24346727449446917, -0.32443817970342936, -0.015629255733801983, -0.29235730873497234, -0.15008456294890493, 0.3321046512981411, 0.0655116097186692, 0.038852462742943315, -0.06050144077744335, -0.13361541082849726, 0.017921617926913314, -0.14293800713057864, 0.2877797898137942, -0.0007717210333794356, 0.3338989575393498, 0.1114395309065003, 0.05036633986164816, 0.009860219538677484, 0.12862676962977276, 0.1133166640647687, -0.15201870688169947, 0.021103023400064556, 0.23958969097584487, -0.09383293000282719, 0.15386981576448305, -0.4423470449866727, -0.2244175960555367, -0.04232245234452421, 0.12837557783350348, 0.19462785423966125, -0.14250076676835305, -0.2616729396977462, 0.06405044317943975, -0.10330412717303261, -0.10972229062754195, -0.150523276720196, -0.05330702695209766, -0.011344677031593165, -0.3106829363903671, 0.10533524220227264, 0.09624664021248464, 0.12092361623654142, -0.12739524316348252, -0.11879614378558472, -0.04642954476585146, 0.015420979821647052, 0.10753124200273305, 0.03616640500549693, 0.19012087270966732, -0.11425404606852681, -0.13504232114646583, 0.3016255497641396, -0.1485706839361228, -0.005403980379924178, 0.141871432447806, -0.2387660561944358, -0.04833647087798454, 0.12107324071112088, 0.17370844429242424, 0.1459232083579991, -0.1582638437161222, 0.10737706151339807, -0.03387889892328531, 0.1923932478122879, 0.03798589496291242, 0.049509520508581775, 0.24023641829844564, 0.22030742061469938, -0.010836610902333631, 0.17353687403156073, -0.15962747775483876, 0.05979623848106712, -0.22619460010901093, -0.18652106958907097, -0.15599792526045347, 0.09942638362990693, -0.09342847443713254, -0.2653516145888716, 0.3753036772250198, 0.2217011045286199, 0.17253661100985482, -0.04581926835817285, 0.33203900170046835, 0.054793269954097924, 0.07642256584949791, 0.020862253749510274, 0.315228227089392, 0.2500866111367941, 0.17706186367777263, -0.24366295134532265, 0.0908068691205699, -0.08101987909758464] |
709.0095 | 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative
gauge theory | Observing that the Hamiltonian of the renormalisable scalar field theory on
4-dimensional Moyal space A is the square of a Dirac operator D of spectral
dimension 8, we complete (A,D) to a compact 8-dimensional spectral triple. We
add another Connes-Lott copy and compute the spectral action of the
corresponding U(1)-Yang-Mills-Higgs model. We find that in the Higgs potential
the square \phi^2 of the Higgs field is shifted to \phi * \phi + const X_\mu *
X^\mu, where X_\mu is the covariant coordinate. The classical field equations
of our model imply that the vacuum is no longer given by a constant Higgs
field, but both the Higgs and gauge fields receive non-constant vacuum
expectation values.
| hep-th | observing that the hamiltonian of the renormalisable scalar field theory on 4dimensional moyal space a is the square of a dirac operator d of spectral dimension 8 we complete ad to a compact 8dimensional spectral triple we add another conneslott copy and compute the spectral action of the corresponding u1yangmillshiggs model we find that in the higgs potential the square phi2 of the higgs field is shifted to phi phi const x_mu xmu where x_mu is the covariant coordinate the classical field equations of our model imply that the vacuum is no longer given by a constant higgs field but both the higgs and gauge fields receive nonconstant vacuum expectation values | [['observing', 'that', 'the', 'hamiltonian', 'of', 'the', 'renormalisable', 'scalar', 'field', 'theory', 'on', '4dimensional', 'moyal', 'space', 'a', 'is', 'the', 'square', 'of', 'a', 'dirac', 'operator', 'd', 'of', 'spectral', 'dimension', '8', 'we', 'complete', 'ad', 'to', 'a', 'compact', '8dimensional', 'spectral', 'triple', 'we', 'add', 'another', 'conneslott', 'copy', 'and', 'compute', 'the', 'spectral', 'action', 'of', 'the', 'corresponding', 'u1yangmillshiggs', 'model', 'we', 'find', 'that', 'in', 'the', 'higgs', 'potential', 'the', 'square', 'phi2', 'of', 'the', 'higgs', 'field', 'is', 'shifted', 'to', 'phi', 'phi', 'const', 'x_mu', 'xmu', 'where', 'x_mu', 'is', 'the', 'covariant', 'coordinate', 'the', 'classical', 'field', 'equations', 'of', 'our', 'model', 'imply', 'that', 'the', 'vacuum', 'is', 'no', 'longer', 'given', 'by', 'a', 'constant', 'higgs', 'field', 'but', 'both', 'the', 'higgs', 'and', 'gauge', 'fields', 'receive', 'nonconstant', 'vacuum', 'expectation', 'values']] | [-0.19086112033956767, 0.19884164784929123, -0.08210984069261361, 0.08549695761281659, -0.1172045692674477, -0.18550800670107656, -0.01779404065508226, 0.3242433302104473, -0.18573348597644573, -0.22222060177644545, 0.037506956188008186, -0.24568495334718715, -0.13585133988579565, 0.10489115706560287, -0.021741868716410616, 0.0017393582956918346, 0.018531299263916234, 0.14622125828808005, -0.09847854196982966, -0.27295733163641256, 0.3598034542244436, -0.002800412190316076, 0.17108676599507983, 0.008736011390150948, 0.13966067656028, 0.027728949499909172, -0.0012572039892389017, -0.021763790703897196, -0.1390740221524373, 0.08681135352023624, 0.11455043507316573, 0.09528799741740593, 0.1771074107509445, -0.31990674226968124, -0.17166319414973258, 0.18323251303200694, 0.10860113148492846, 0.06842116448096931, -0.019576260444327174, -0.28334256511192174, 0.07300455698912794, -0.1569352421274578, -0.15141027025476267, -0.051964414390650665, 0.013128487528725103, -0.09734523419968107, -0.322096170370721, 0.05264256621541625, 0.0016472991841675884, 0.05506121909923174, -0.061714492130770605, -0.13254268356725912, -0.09055589758156037, 0.02662030485014177, 0.09032246943309226, 0.13284809463181194, 0.12563941996883263, -0.17040505270388992, -0.11103162859587676, 0.38713194846006277, -0.15224789711435072, -0.23208142503757367, 0.07863024419427596, -0.1919575584502044, -0.09543533759953624, 0.12831151665781032, 0.1105296026322652, 0.11183823242106221, -0.10841359010982242, 0.28354516671018, -0.04858714663846926, 0.15662439702533779, 0.05918296729637818, 0.022944043802668932, 0.1960652735422958, 0.04176214172250845, 0.08667213949480687, 0.07865991389209574, -0.03798815526533872, -0.14441779784392567, -0.43387593186714435, -0.19275639648972587, -0.15409163668413053, 0.13859555919824, -0.14657073356608055, -0.20204578499225054, 0.4079512097830461, 0.09393570901222781, 0.18662493520585652, 0.04245811114934358, 0.23644011228011963, 0.15445744744819503, 0.1110509930877015, 0.056707335212691265, 0.2566745056474412, 0.18103525891942396, 0.10024809340247884, -0.2255967009135268, -0.15227448762902482, 0.11842788275839253] |
709.0096 | The magic functions and automorphisms of a domain | We introduce the notion of magic functions of a general domain in
d-dimensional complex space and show that the set of magic functions of a given
domain is an intrinsic complex-geometric object. We determine the set of magic
functions of the symmetrised bidisc G, and thereby find all automorphisms of G
and a formula for the Caratheodory distance on G.
| math.CV math.FA | we introduce the notion of magic functions of a general domain in ddimensional complex space and show that the set of magic functions of a given domain is an intrinsic complexgeometric object we determine the set of magic functions of the symmetrised bidisc g and thereby find all automorphisms of g and a formula for the caratheodory distance on g | [['we', 'introduce', 'the', 'notion', 'of', 'magic', 'functions', 'of', 'a', 'general', 'domain', 'in', 'ddimensional', 'complex', 'space', 'and', 'show', 'that', 'the', 'set', 'of', 'magic', 'functions', 'of', 'a', 'given', 'domain', 'is', 'an', 'intrinsic', 'complexgeometric', 'object', 'we', 'determine', 'the', 'set', 'of', 'magic', 'functions', 'of', 'the', 'symmetrised', 'bidisc', 'g', 'and', 'thereby', 'find', 'all', 'automorphisms', 'of', 'g', 'and', 'a', 'formula', 'for', 'the', 'caratheodory', 'distance', 'on', 'g']] | [-0.14449420295034845, 0.0776575792680281, -0.06299110784505804, 0.0775075530904966, -0.08781259189515064, -0.04277028979267925, 0.06306479321792721, 0.38051645160497477, -0.27441764312485856, -0.25908026909455656, 0.0793484513706062, -0.2475658073866119, -0.147697291377699, 0.19210158546144765, -0.08811649272684008, 0.03274687168498834, 0.0679592793302921, 0.06132846164206664, -0.11161419768274451, -0.20394709781976417, 0.4197492141276598, -0.051000666447604696, 0.18954575688888628, 0.07022995480025808, 0.15886232016297677, 0.052478223604460555, -0.014179631105313699, 0.010394984956656117, -0.1583252599042074, 0.1621734758761401, 0.1877812132394562, 0.17319782314977297, 0.25162613537783424, -0.3421282334563633, -0.1644377489419033, 0.18777345137204976, 0.07164684369539222, 0.006586323352530598, 0.04135335047612898, -0.278253842672954, 0.07208449876246353, -0.1494113897283872, -0.16169675790782398, -0.0348445375294735, 0.11444105412034938, 0.04398812940344214, -0.2600378061489513, -0.04165265243500471, 0.09541562894980113, 0.07240015306742861, -0.06670938671256105, -0.1319892569736112, -0.01076081837915505, 0.1168029646622017, -0.06040004139843707, 0.11264184133227294, 0.05005935893083612, -0.10717047754054268, -0.113497212730969, 0.36918927320900063, -0.03225821798356871, -0.23868425094212095, 0.11897345252800733, -0.22006288128905, -0.13790233296652635, 0.06230025253413866, 0.14908337299712002, 0.21396322802950937, -0.054533927065009875, 0.171610827120215, -0.1306995598288874, 0.1068399836231644, 0.06673857291849951, 0.04156051047320943, 0.13507052655331792, 0.10993487877227986, 0.14677653153582165, 0.2340641548236211, -0.03910443343144531, 0.025902530884680648, -0.38646571710705757, -0.15141578819602727, -0.22780703950556927, 0.07168520976944516, -0.13144631083050626, -0.2271456109515081, 0.4004634601296857, 0.021721333311870695, 0.1999422066224118, 0.09964869079800943, 0.17931455969810486, 0.09488505442908111, 0.06863173448946328, 0.0795636643577988, 0.14982129127408067, 0.15509794674192864, -0.05754996951824675, -0.19744701837189496, 0.003806613533136745, 0.14361745968150597] |
709.0097 | Identification of NeVIII lines in H-deficient (pre-) white dwarfs: a new
tool to constrain the temperature of the hottest stars | For the first time, we have identified NeVIII absorption lines in far-UV
spectra of the hottest known (Teff>150,000 K) hydrogen-deficient (pre-) white
dwarfs of spectral type PG1159. They are of photospheric origin and can be
matched by synthetic non-LTE line profiles. We also show that a number of UV
and optical emission lines in these stars can be explained as being
photospheric NeVIII features and not, as hitherto suspected, as ultrahigh
ionised OVIII lines created along shock-zones in the stellar wind.
Consequently, we argue that the long-standing identification of the same
emission lines in hot [WR]-type central stars as being due to ultrahigh-ionised
species (OVII-VIII, CV-VI) must be revised. These lines can be entirely
attributed to thermally excited species (NeVII-VIII, NV, OVI). Photospheric
NeVIII lines are also identified in the hottest known He-rich white dwarf
KPD0005+5106 some of which were also attributed to OVIII previously. This is a
surprise because it must be concluded that KPD0005+5106 is much hotter
(Teff=200,000 K) than hitherto assumed (Teff=120,000 K). This is confirmed by a
re-assessment of the HeII line spectrum. We speculate that the temperature is
high enough to explain the mysterious, hard X-ray emission (1 keV) as being of
photospheric origin.
| astro-ph | for the first time we have identified neviii absorption lines in faruv spectra of the hottest known teff150000 k hydrogendeficient pre white dwarfs of spectral type pg1159 they are of photospheric origin and can be matched by synthetic nonlte line profiles we also show that a number of uv and optical emission lines in these stars can be explained as being photospheric neviii features and not as hitherto suspected as ultrahigh ionised oviii lines created along shockzones in the stellar wind consequently we argue that the longstanding identification of the same emission lines in hot wrtype central stars as being due to ultrahighionised species oviiviii cvvi must be revised these lines can be entirely attributed to thermally excited species neviiviii nv ovi photospheric neviii lines are also identified in the hottest known herich white dwarf kpd00055106 some of which were also attributed to oviii previously this is a surprise because it must be concluded that kpd00055106 is much hotter teff200000 k than hitherto assumed teff120000 k this is confirmed by a reassessment of the heii line spectrum we speculate that the temperature is high enough to explain the mysterious hard xray emission 1 kev as being of photospheric origin | [['for', 'the', 'first', 'time', 'we', 'have', 'identified', 'neviii', 'absorption', 'lines', 'in', 'faruv', 'spectra', 'of', 'the', 'hottest', 'known', 'teff150000', 'k', 'hydrogendeficient', 'pre', 'white', 'dwarfs', 'of', 'spectral', 'type', 'pg1159', 'they', 'are', 'of', 'photospheric', 'origin', 'and', 'can', 'be', 'matched', 'by', 'synthetic', 'nonlte', 'line', 'profiles', 'we', 'also', 'show', 'that', 'a', 'number', 'of', 'uv', 'and', 'optical', 'emission', 'lines', 'in', 'these', 'stars', 'can', 'be', 'explained', 'as', 'being', 'photospheric', 'neviii', 'features', 'and', 'not', 'as', 'hitherto', 'suspected', 'as', 'ultrahigh', 'ionised', 'oviii', 'lines', 'created', 'along', 'shockzones', 'in', 'the', 'stellar', 'wind', 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709.0098 | WMAP-Compliant Benchmark Surfaces for MSSM Higgs Bosons | We explore `benchmark surfaces' suitable for studying the phenomenology of
Higgs bosons in the minimal supersymmetric extension of the Standard Model
(MSSM), which are chosen so that the supersymmetric relic density is generally
compatible with the range of cold dark matter density preferred by WMAP and
other observations. These benchmark surfaces are specified assuming that
gaugino masses m_{1/2}, soft trilinear supersymmetry-breaking parameters A_0
and the soft supersymmetry-breaking contributions m_0 to the squark and slepton
masses are universal, but not those associated with the Higgs multiplets (the
NUHM framework). The benchmark surfaces may be presented as M_A-tan_beta planes
with fixed or systematically varying values of the other NUHM parameters, such
as m_0, m_{1/2}, A_0 and the Higgs mixing parameter mu. We discuss the
prospects for probing experimentally these benchmark surfaces at the Tevatron
collider, the LHC, the ILC, in B physics and in direct dark-matter detection
experiments. An Appendix documents developments in the FeynHiggs code that
enable the user to explore for her/himself the WMAP-compliant benchmark
surfaces.
| hep-ph | we explore benchmark surfaces suitable for studying the phenomenology of higgs bosons in the minimal supersymmetric extension of the standard model mssm which are chosen so that the supersymmetric relic density is generally compatible with the range of cold dark matter density preferred by wmap and other observations these benchmark surfaces are specified assuming that gaugino masses m_12 soft trilinear supersymmetrybreaking parameters a_0 and the soft supersymmetrybreaking contributions m_0 to the squark and slepton masses are universal but not those associated with the higgs multiplets the nuhm framework the benchmark surfaces may be presented as m_atan_beta planes with fixed or systematically varying values of the other nuhm parameters such as m_0 m_12 a_0 and the higgs mixing parameter mu we discuss the prospects for probing experimentally these benchmark surfaces at the tevatron collider the lhc the ilc in b physics and in direct darkmatter detection experiments an appendix documents developments in the feynhiggs code that enable the user to explore for herhimself the wmapcompliant benchmark surfaces | [['we', 'explore', 'benchmark', 'surfaces', 'suitable', 'for', 'studying', 'the', 'phenomenology', 'of', 'higgs', 'bosons', 'in', 'the', 'minimal', 'supersymmetric', 'extension', 'of', 'the', 'standard', 'model', 'mssm', 'which', 'are', 'chosen', 'so', 'that', 'the', 'supersymmetric', 'relic', 'density', 'is', 'generally', 'compatible', 'with', 'the', 'range', 'of', 'cold', 'dark', 'matter', 'density', 'preferred', 'by', 'wmap', 'and', 'other', 'observations', 'these', 'benchmark', 'surfaces', 'are', 'specified', 'assuming', 'that', 'gaugino', 'masses', 'm_12', 'soft', 'trilinear', 'supersymmetrybreaking', 'parameters', 'a_0', 'and', 'the', 'soft', 'supersymmetrybreaking', 'contributions', 'm_0', 'to', 'the', 'squark', 'and', 'slepton', 'masses', 'are', 'universal', 'but', 'not', 'those', 'associated', 'with', 'the', 'higgs', 'multiplets', 'the', 'nuhm', 'framework', 'the', 'benchmark', 'surfaces', 'may', 'be', 'presented', 'as', 'm_atan_beta', 'planes', 'with', 'fixed', 'or', 'systematically', 'varying', 'values', 'of', 'the', 'other', 'nuhm', 'parameters', 'such', 'as', 'm_0', 'm_12', 'a_0', 'and', 'the', 'higgs', 'mixing', 'parameter', 'mu', 'we', 'discuss', 'the', 'prospects', 'for', 'probing', 'experimentally', 'these', 'benchmark', 'surfaces', 'at', 'the', 'tevatron', 'collider', 'the', 'lhc', 'the', 'ilc', 'in', 'b', 'physics', 'and', 'in', 'direct', 'darkmatter', 'detection', 'experiments', 'an', 'appendix', 'documents', 'developments', 'in', 'the', 'feynhiggs', 'code', 'that', 'enable', 'the', 'user', 'to', 'explore', 'for', 'herhimself', 'the', 'wmapcompliant', 'benchmark', 'surfaces']] | [-0.09736346813605917, 0.23653033787816571, -0.012964307104106766, 0.1613590568907434, -0.10739235157039152, -0.20257044185475423, -0.003950143298247784, 0.3573537454514469, -0.21174834067819687, -0.33150059724135733, 0.06597069010320233, -0.261099939129497, -0.02057584027174815, 0.1986902494738787, 0.029527259769809727, 0.11394270036659536, 0.04093978743682184, -0.04025951773496118, -0.08725519072287148, -0.2915395636440868, 0.30353297465253715, 0.0308350886519226, 0.1588005502821832, 0.08724054492010576, 0.016602468685383294, -0.03724677493034794, -0.0037766661191154724, -0.09878573387225227, -0.1887371075437131, 0.09791383952776925, 0.24768923773861876, 0.08265232108249443, 0.07909037423939104, -0.31590194626506873, -0.17186578800447466, 0.17374517133732031, 0.12172683463545471, 0.0409518806242509, -0.07070826742480077, -0.3165524982131745, 0.08434734986626498, -0.23104492564708357, -0.1108507442447107, -0.0657467555975905, -0.042187609414501885, -0.0977584248956679, -0.30340800627572007, 0.07618708805061832, -0.0875798568254473, 0.012230664000437572, -0.012908076068170642, -0.21105437325995144, -0.11353599150926329, -0.010276320073810383, 0.17430421629375437, -0.028558927040160973, 0.21559705262685694, -0.21720881634618996, -0.1416788318410243, 0.42140762095067014, -0.08843929014486693, -0.1822460992616692, 0.19374837234996758, -0.13950935010400758, -0.15746819436629644, 0.06935632157866366, 0.18278756219660863, 0.08915004536538618, -0.14770460863620405, 0.23665788970006027, -0.05777485076502738, 0.16993180841275649, 0.07361408026190475, 0.03394171980879747, 0.3058291834597362, 0.18875914956045495, 0.04307317006026917, 0.023642633527676326, -0.0762543220732435, -0.06807340353886347, -0.4580059981019032, -0.10408122793816757, -0.07529226207265222, -0.040151096788066776, -0.10969965027443988, -0.1039006429008867, 0.37957665733084445, 0.14755671551215416, 0.28358508702282365, 0.0453160930923243, 0.28439309725696904, 0.020856780003580242, 0.10357319132162957, 0.016060288764359627, 0.31727372172072804, 0.0786392838543667, 0.05483155491443851, -0.1981214133812478, -0.04391105149350152, 0.06288276264364491] |
709.0099 | The road coloring problem | The synchronizing word of deterministic automaton is a word in the alphabet
of colors (considered as letters) of its edges that maps the automaton to a
single state. A coloring of edges of a directed graph is synchronizing if the
coloring turns the graph into deterministic finite automaton possessing a
synchronizing word.
The road coloring problem is a problem of synchronizing coloring of directed
finite strongly connected graph with constant outdegree of all its vertices if
the greatest common divisor of lengths of all its cycles is one. The problem
was posed by Adler, Goodwyn and Weiss over 30 years ago and evoked a noticeable
interest among the specialists in theory of graphs, deterministic automata and
symbolic dynamics. The problem is described even in "Wikipedia" - the popular
Internet Encyclopedia. The positive solution of the road coloring problem is
presented.
| cs.DM | the synchronizing word of deterministic automaton is a word in the alphabet of colors considered as letters of its edges that maps the automaton to a single state a coloring of edges of a directed graph is synchronizing if the coloring turns the graph into deterministic finite automaton possessing a synchronizing word the road coloring problem is a problem of synchronizing coloring of directed finite strongly connected graph with constant outdegree of all its vertices if the greatest common divisor of lengths of all its cycles is one the problem was posed by adler goodwyn and weiss over 30 years ago and evoked a noticeable interest among the specialists in theory of graphs deterministic automata and symbolic dynamics the problem is described even in wikipedia the popular internet encyclopedia the positive solution of the road coloring problem is presented | [['the', 'synchronizing', 'word', 'of', 'deterministic', 'automaton', 'is', 'a', 'word', 'in', 'the', 'alphabet', 'of', 'colors', 'considered', 'as', 'letters', 'of', 'its', 'edges', 'that', 'maps', 'the', 'automaton', 'to', 'a', 'single', 'state', 'a', 'coloring', 'of', 'edges', 'of', 'a', 'directed', 'graph', 'is', 'synchronizing', 'if', 'the', 'coloring', 'turns', 'the', 'graph', 'into', 'deterministic', 'finite', 'automaton', 'possessing', 'a', 'synchronizing', 'word', 'the', 'road', 'coloring', 'problem', 'is', 'a', 'problem', 'of', 'synchronizing', 'coloring', 'of', 'directed', 'finite', 'strongly', 'connected', 'graph', 'with', 'constant', 'outdegree', 'of', 'all', 'its', 'vertices', 'if', 'the', 'greatest', 'common', 'divisor', 'of', 'lengths', 'of', 'all', 'its', 'cycles', 'is', 'one', 'the', 'problem', 'was', 'posed', 'by', 'adler', 'goodwyn', 'and', 'weiss', 'over', '30', 'years', 'ago', 'and', 'evoked', 'a', 'noticeable', 'interest', 'among', 'the', 'specialists', 'in', 'theory', 'of', 'graphs', 'deterministic', 'automata', 'and', 'symbolic', 'dynamics', 'the', 'problem', 'is', 'described', 'even', 'in', 'wikipedia', 'the', 'popular', 'internet', 'encyclopedia', 'the', 'positive', 'solution', 'of', 'the', 'road', 'coloring', 'problem', 'is', 'presented']] | [-0.20214565462273362, 0.16215266059220268, -0.02354632199242495, 0.03633791566117788, -0.12270748063051344, -0.1855405857651562, 0.11616935501587104, 0.3854847837212509, -0.3499191771328881, -0.25498050429345365, 0.06357665010517044, -0.3392952869416795, -0.14160074695836808, 0.10689077469641747, -0.12742317612350418, 0.07088718516625585, 0.1585387222357499, 0.14557642187666742, 0.08237334324613861, -0.2893312134637845, 0.26193683751372865, -0.04377750586549603, 0.19653789169809688, 0.06396798424395746, 0.12898905365727842, -0.009835874393541852, -0.04400688630867871, 0.0791116233162609, -0.0757866727892732, 0.07335901861264627, 0.32246731485888036, 0.20260908562298593, 0.30556913298568217, -0.38080215189551964, -0.21408463035291736, 0.2063910042853567, 0.09741678120622384, 0.08243351800880139, 0.019834588767717713, -0.2718942342730968, 0.13446284814710743, -0.1276205723254901, -0.048259387293027416, 0.08773212881161548, 0.18665107776599843, 0.009807352718991646, -0.1998209555538884, -0.027550503021052133, 0.12100415484999995, 0.07641208191415753, 0.019908720705880904, -0.12199060908397255, -0.016785341497186735, 0.13709538558538517, -0.022098850057311895, 0.09110557679272513, 0.03131457020704081, -0.14407601341794152, -0.24243650079259407, 0.41551562832277, -0.028474408591110674, -0.14347485053703946, 0.12069481873776818, -0.06422605959064179, -0.1308982893385911, 0.13095326367023308, 0.1004419434964117, 0.11685813887490203, -0.13211314993964482, 0.12014593678385069, -0.17919212272660673, 0.17219890294380594, 0.15355097982978475, -0.01975491958623077, 0.14832271497436814, 0.21944824254909612, 0.14342407722269063, 0.16077643942317346, 0.0643730395729991, -0.06287531688660923, -0.22486368398792853, -0.09759688278342989, -0.22494906824979716, 0.037915435354765235, -0.14078390630996748, -0.25151062104176136, 0.47237217991842306, 0.09857990619038111, 0.13670084422008824, 0.13520488691637697, 0.25435001910596655, 0.10665721258577095, 0.02279280606434559, 0.14744605725982052, 0.05631129565797206, 0.17338410063066345, 0.04260292086004536, -0.20903534469687365, 0.10531278286414791, 0.1834975080497131] |
709.01 | Saturation effects in elastic scattering at the LHC | The problems linked to the extraction of the basic parameters of the hadron
elastic scattering amplitude at the LHC are explored. The impact of the Black
Disk Limit (BDL)$-$ which constitutes a new regime of the scattering processes
- on the determination of these values is examined.
| hep-ph | the problems linked to the extraction of the basic parameters of the hadron elastic scattering amplitude at the lhc are explored the impact of the black disk limit bdl which constitutes a new regime of the scattering processes on the determination of these values is examined | [['the', 'problems', 'linked', 'to', 'the', 'extraction', 'of', 'the', 'basic', 'parameters', 'of', 'the', 'hadron', 'elastic', 'scattering', 'amplitude', 'at', 'the', 'lhc', 'are', 'explored', 'the', 'impact', 'of', 'the', 'black', 'disk', 'limit', 'bdl', 'which', 'constitutes', 'a', 'new', 'regime', 'of', 'the', 'scattering', 'processes', 'on', 'the', 'determination', 'of', 'these', 'values', 'is', 'examined']] | [-0.12209932607315156, 0.1495255144191501, -0.08829052196613149, 0.08233136422780302, -0.03899580333381891, -0.04354644081879245, 0.035541275799598385, 0.2649430530550687, -0.27578998454239056, -0.23802639394188704, 0.10932222648483256, -0.2955309413778393, -0.04600125757734413, 0.22378238468714381, 0.06354774501296165, 0.10445467567700215, 0.05408273507719454, 0.00039277440341918367, -0.06045516547949418, -0.20818250259870422, 0.36416454238655127, 0.09424386859830955, 0.2368762836508129, 0.10509921090915272, 0.10449256853240987, 0.04259078393933242, -0.061713516793173294, -0.030869781242116638, -0.1654807692596122, 0.14905703284413271, 0.22822267367787982, 0.05017945663396107, 0.1706257411683707, -0.36962727987733873, -0.18760760126473464, 0.059758934455559305, 0.13838494102389592, 0.09983861627520325, 0.0022246003348339836, -0.22688914430530174, 0.04637287163843765, -0.1333549579848414, -0.1636281764620672, -0.008216276987577263, 0.04853172236851052, -0.011603868849899458, -0.2648863868544931, 0.06660139867428529, 0.020012589576451675, -0.004219561815261841, -0.060917468002551926, -0.16068887374485316, -0.009928096839955644, 0.09975260859557791, 0.0949796404355489, -0.020301181549692283, 0.2000336109397366, -0.2064916432592208, -0.10334173875415455, 0.38865758462444594, 0.007688090195069494, -0.1368238162451788, 0.18607879958479948, -0.1979143265331083, -0.12858937359819916, 0.14362491406095418, 0.22518161514207072, 0.09920626333104851, -0.15225295223923319, 0.11475026356461256, -0.025596216758814357, 0.15336040443862262, 0.08429016315621203, 0.06665953013883985, 0.25818362829032476, 0.2556290841337455, -0.039763031790599875, 0.11369329065327412, -0.14201802000626113, -0.07618115850440833, -0.3782643574775885, -0.055202561187679355, -0.1403563198350046, 0.017238188011106104, -0.10904267798785282, -0.176626181229949, 0.37324505241628253, 0.13722529869688593, 0.24639567720663288, -0.009584946464241037, 0.27329230705357116, 0.16980568649571226, 0.07870152612905139, 0.0235942127081849, 0.3675754906447685, 0.16524278008095597, 0.13303082830110646, -0.28171027452765923, 0.10186236409429947, 0.052122133591657745] |
709.0101 | Heegaard genus and Property 'tau' for hyperbolic 3-manifolds | We show that any finitely generated non-elementary Kleinian group has a
co-final family of finite index normal subgroups with respect to which it has
Property $\tau$. As a consequence, any closed hyperbolic 3-manifold has a
co-final family of finite index normal subgroups for which the infimal Heegaard
gradient is positive.
| math.GT math.GR | we show that any finitely generated nonelementary kleinian group has a cofinal family of finite index normal subgroups with respect to which it has property tau as a consequence any closed hyperbolic 3manifold has a cofinal family of finite index normal subgroups for which the infimal heegaard gradient is positive | [['we', 'show', 'that', 'any', 'finitely', 'generated', 'nonelementary', 'kleinian', 'group', 'has', 'a', 'cofinal', 'family', 'of', 'finite', 'index', 'normal', 'subgroups', 'with', 'respect', 'to', 'which', 'it', 'has', 'property', 'tau', 'as', 'a', 'consequence', 'any', 'closed', 'hyperbolic', '3manifold', 'has', 'a', 'cofinal', 'family', 'of', 'finite', 'index', 'normal', 'subgroups', 'for', 'which', 'the', 'infimal', 'heegaard', 'gradient', 'is', 'positive']] | [-0.1729092556424439, 0.1957325735501945, -0.1615990449860692, 0.06061048957752064, -0.16415607783943414, -0.18318748825229705, -0.014916852451860904, 0.4198967437446117, -0.36430693306028844, -0.1764302741701249, 0.08469566539861262, -0.2988183802738786, -0.07856832231394946, 0.22752052616328, -0.17338551634922625, -0.0011888353899121285, 0.0784664647327736, 0.15308069333434104, -0.07137345311697572, -0.19233681747689843, 0.3794085863977671, -0.1573870612680912, 0.2473763582482934, 0.05139050514437258, 0.15274371415376664, -0.08237597167491913, 0.02296555135399103, 0.057414412386715415, -0.15680508124249173, 0.019072840083390476, 0.3114882934093475, 0.04286745093762875, 0.2509807846462354, -0.23612773898988962, -0.22167440012097359, 0.30465205406770113, 0.13448451671749354, -0.08518083205912262, -0.14009931111708285, -0.24451137024909259, 0.17523008456453681, -0.2351936212927103, -0.1921462490875274, -0.04188025116920471, 0.11742584348656238, -0.02600299656391144, -0.21397952482104302, -0.033615451920777556, 0.15677501246333123, 0.15521293973550201, 0.043513089697808024, -0.07559542933478952, -0.10536383878439665, 0.09802099262364208, 0.0541222341102548, 0.07492628040723502, 0.046278706094017255, 0.028485634177923203, -0.10919042953057215, 0.3770101530547254, -0.1521376095339656, -0.30792797993868587, 0.14588687841780484, -0.16668443234637378, -0.20532856876030564, 0.18160375244915486, 0.06345968233421445, 0.13335642341524362, -0.024667193293571473, 0.28260088088922203, -0.19985320378094912, 0.11821258852258325, 0.09582700012251735, -0.048246615147218105, 0.061612533628940584, 0.07127125902101397, 0.17261323088780045, 0.15156644770875574, 0.08096666215918959, 0.053657456515356895, -0.3431933673284948, -0.22705685121938587, -0.12594105761498212, 0.17397456290200353, -0.1461175163090229, -0.3283064954727888, 0.39959166234359145, -0.09873381550423802, 0.05538723053410649, 0.1920241798320785, 0.19814301207661628, 0.09066245749942027, 0.10713456138968468, 0.10068898606114089, 0.03969319000840187, 0.21560477383434773, -0.21142300840467215, -0.14000337128527462, 0.052104692412540315, 0.23066315442323684] |
709.0102 | Towards the First Galaxies | The formation of the first galaxies at redshifts z~10-15 signaled the
transition from the simple initial state of the universe to one of ever
increasing complexity. We here review recent progress in understanding their
assembly process with numerical simulations, starting with cosmological initial
conditions and modelling the detailed physics of star formation. In particular,
we study the role of HD cooling in ionized primordial gas, the impact of UV
radiation produced by the first stars, and the propagation of the supernova
blast waves triggered at the end of their brief lives. We conclude by
discussing promising observational diagnostics that will allow us to probe the
properties of the first galaxies, such as their contribution to reionization
and the chemical abundance pattern observed in extremely low-metallicity stars.
| astro-ph | the formation of the first galaxies at redshifts z1015 signaled the transition from the simple initial state of the universe to one of ever increasing complexity we here review recent progress in understanding their assembly process with numerical simulations starting with cosmological initial conditions and modelling the detailed physics of star formation in particular we study the role of hd cooling in ionized primordial gas the impact of uv radiation produced by the first stars and the propagation of the supernova blast waves triggered at the end of their brief lives we conclude by discussing promising observational diagnostics that will allow us to probe the properties of the first galaxies such as their contribution to reionization and the chemical abundance pattern observed in extremely lowmetallicity stars | [['the', 'formation', 'of', 'the', 'first', 'galaxies', 'at', 'redshifts', 'z1015', 'signaled', 'the', 'transition', 'from', 'the', 'simple', 'initial', 'state', 'of', 'the', 'universe', 'to', 'one', 'of', 'ever', 'increasing', 'complexity', 'we', 'here', 'review', 'recent', 'progress', 'in', 'understanding', 'their', 'assembly', 'process', 'with', 'numerical', 'simulations', 'starting', 'with', 'cosmological', 'initial', 'conditions', 'and', 'modelling', 'the', 'detailed', 'physics', 'of', 'star', 'formation', 'in', 'particular', 'we', 'study', 'the', 'role', 'of', 'hd', 'cooling', 'in', 'ionized', 'primordial', 'gas', 'the', 'impact', 'of', 'uv', 'radiation', 'produced', 'by', 'the', 'first', 'stars', 'and', 'the', 'propagation', 'of', 'the', 'supernova', 'blast', 'waves', 'triggered', 'at', 'the', 'end', 'of', 'their', 'brief', 'lives', 'we', 'conclude', 'by', 'discussing', 'promising', 'observational', 'diagnostics', 'that', 'will', 'allow', 'us', 'to', 'probe', 'the', 'properties', 'of', 'the', 'first', 'galaxies', 'such', 'as', 'their', 'contribution', 'to', 'reionization', 'and', 'the', 'chemical', 'abundance', 'pattern', 'observed', 'in', 'extremely', 'lowmetallicity', 'stars']] | [-0.06165081083022487, 0.13623200297643917, -0.06784588469391954, 0.07056192581046436, -0.08988090532384665, -0.002624710641121344, 0.04595809393665857, 0.3820156979832857, -0.18180767532497172, -0.3203602758132749, 0.060036831812578295, -0.26752431716932545, -0.06395660701488691, 0.1742584982827779, 0.0339954773674161, 0.00036244281652634815, 0.07438464065836299, -0.06657263810103316, -0.04560142866195372, -0.28051570288482164, 0.3489077086597385, 0.14873076054371065, 0.19095819881084256, 0.018593305630409823, 0.03627739635126163, -0.10993731416214908, -0.10745348402535514, -0.04674990662089032, -0.21890754175090854, 0.034496676250700915, 0.21082487107508183, 0.17297160756101626, 0.25091658654947957, -0.46039317252617035, -0.2367396446846662, 0.08295930701951008, 0.18557218308856208, 0.13270305392761078, -0.14664964787366372, -0.2690992784789867, 0.03245254027997217, -0.16736763805919697, -0.18257598915979975, 0.04161036262539999, 0.019323226825762835, 0.025061410192089777, -0.19291758774373208, 0.09348065778058731, 0.021486332038110713, 0.05266282208529966, -0.08454418115850006, -0.051550504766286365, -0.06252520324917332, 0.12117609729351003, 0.03665234329569752, 0.033471022527443155, 0.1633181035599952, -0.1949116508919923, -0.03093798817800624, 0.43050878569262013, -0.08134935349262955, 0.016663859788668415, 0.2484142376481378, -0.23458005693100858, -0.20537961460280393, 0.11260305696337056, 0.16039302833526145, 0.10244519570990214, -0.1252874203602828, -0.005782973240702487, 0.06775845132309884, 0.12364391005775403, 0.04150641958842734, 0.0723119027539464, 0.3335428782738745, 0.19581826097546293, -0.017079557026071206, 0.1011566719638982, -0.11781304481712776, -0.05533346312771004, -0.28073579476640875, -0.13099626061462222, -0.12891442820961987, 0.10103550751874638, -0.09455825484116166, -0.12791372290516775, 0.38045117918342825, 0.1756000358801675, 0.19448774533774998, 0.007802198694590184, 0.3076594598214364, 0.05985312650602917, 0.013750587420035449, 0.042201869795838044, 0.30095608356512255, 0.17783034236968628, 0.1409210861246619, -0.28325386109414497, 0.09905329844932856, 0.014382001651924044] |
709.0103 | On the low regularity of the fifth order Kadomtsev-Petviashvili I
equation | We consider the fifth order Kadomtsev-Petviashvili I (KP-I) equation as
$\partial_tu+\alpha\partial_x^3u+\partial^5_xu+\partial_x^{-1}\partial_y^2u+uu_x=0,$
while $\alpha\in \mathbb{R}$. We introduce an interpolated energy space $E_s$
to consider the well-posedeness of the initial value problem (IVP) of the fifth
order KP-I equation. We obtain the local well-posedness of IVP of the fifth
order KP-I equation in $E_s$ for $0<s\leq1$. To obtain the local
well-posedness, we present a bilinear estimate in the Bourgain space in the
framework of the interpolated energy space. It crucially depends on the dyadic
decomposed Strichartz estimate, the fifth order dispersive smoothing effect and
maximal estimate.
Key words: The fifth order KP-I equation, Bourgain space, Dyadic decomposed
Strichartz estimate, Dispersive smoothing effect, Maximal estimate.
| math.AP math-ph math.MP | we consider the fifth order kadomtsevpetviashvili i kpi equation as partial_tualphapartial_x3upartial5_xupartial_x1partial_y2uuu_x0 while alphain mathbbr we introduce an interpolated energy space e_s to consider the wellposedeness of the initial value problem ivp of the fifth order kpi equation we obtain the local wellposedness of ivp of the fifth order kpi equation in e_s for 0sleq1 to obtain the local wellposedness we present a bilinear estimate in the bourgain space in the framework of the interpolated energy space it crucially depends on the dyadic decomposed strichartz estimate the fifth order dispersive smoothing effect and maximal estimate key words the fifth order kpi equation bourgain space dyadic decomposed strichartz estimate dispersive smoothing effect maximal estimate | [['we', 'consider', 'the', 'fifth', 'order', 'kadomtsevpetviashvili', 'i', 'kpi', 'equation', 'as', 'partial_tualphapartial_x3upartial5_xupartial_x1partial_y2uuu_x0', 'while', 'alphain', 'mathbbr', 'we', 'introduce', 'an', 'interpolated', 'energy', 'space', 'e_s', 'to', 'consider', 'the', 'wellposedeness', 'of', 'the', 'initial', 'value', 'problem', 'ivp', 'of', 'the', 'fifth', 'order', 'kpi', 'equation', 'we', 'obtain', 'the', 'local', 'wellposedness', 'of', 'ivp', 'of', 'the', 'fifth', 'order', 'kpi', 'equation', 'in', 'e_s', 'for', '0sleq1', 'to', 'obtain', 'the', 'local', 'wellposedness', 'we', 'present', 'a', 'bilinear', 'estimate', 'in', 'the', 'bourgain', 'space', 'in', 'the', 'framework', 'of', 'the', 'interpolated', 'energy', 'space', 'it', 'crucially', 'depends', 'on', 'the', 'dyadic', 'decomposed', 'strichartz', 'estimate', 'the', 'fifth', 'order', 'dispersive', 'smoothing', 'effect', 'and', 'maximal', 'estimate', 'key', 'words', 'the', 'fifth', 'order', 'kpi', 'equation', 'bourgain', 'space', 'dyadic', 'decomposed', 'strichartz', 'estimate', 'dispersive', 'smoothing', 'effect', 'maximal', 'estimate']] | [-0.18069581734863194, 0.060555030080749105, -0.07486628273671324, 0.12481585884974762, -0.12575215732848102, -0.07337274151346222, -0.04755956612908366, 0.20217331471768293, -0.33331906937740063, -0.2048962884074585, 0.12542438247262247, -0.30041251798922364, -0.07898976393520239, 0.12537321649883365, 0.014887895917689258, 0.09608940849588676, 0.027176878702911463, 0.026303599918769165, -0.08989257510243491, -0.27011295721485196, 0.40018023614009673, -0.07263665699654005, 0.20244696447625757, 0.02227687775157392, 0.11328919014300812, 0.05832173530520363, -0.06578463920318013, -0.1073998216719536, -0.2781515164194967, 0.12215338168898597, 0.1950047371739691, 0.02037672733634033, 0.29083465397019276, -0.3686347674917091, -0.19151074266569182, 0.1978498810013248, 0.17699042818593708, 0.07551488262093202, 0.05487103122603995, -0.3521102525293827, 0.048675828215412116, -0.13188741155688397, -0.21477769317147746, -0.08795287058138374, 0.03051283841275356, 0.05954717377317138, -0.3448979813415049, 0.17219436568398536, 0.03018567402931777, -0.04366484803401611, -0.21214859571985223, -0.10573191335424781, -0.03238405067134987, 0.04531867572275752, 0.04411447417752987, 0.09283773337321526, 0.013871047374877063, -0.06653699324127625, -0.0295237278142436, 0.4030585681511597, -0.13269606244602156, -0.24001387531699783, 0.027769028310748664, -0.14984198515726763, -0.09554280054501511, 0.11259502888741818, 0.2261765200718814, 0.08457249433479526, -0.1061728631738912, 0.14378330133199183, -0.05152519936250015, 0.2069522364911708, 0.13510615633461964, 0.042860771995037794, 0.0018102820719253611, 0.14887906201183795, 0.21381577857008036, 0.09530619828199799, -0.06521427924109792, -0.023614104140803897, -0.35442387951029974, -0.1584508839148012, -0.19664874582297423, 0.08082498274743558, -0.1828053698958353, -0.1350781877440485, 0.36364692989736797, 0.165136608091945, 0.16434705316681752, 0.04544591386379166, 0.2324324285950173, 0.2317085793061944, 0.007362387913533232, 0.07168915411457419, 0.22948529793118888, 0.14571481521495364, 0.18731762618461453, -0.26786406213332986, 0.003109866566956043, 0.28211841823914174] |
709.0104 | Symmetry classes connected with the magnetic Heisenberg ring | We define symmetry classes and commutation symmetries in the Hilbert space H
of the 1D spin-1/2 Heisenberg magnetic ring with N sites and investigate them
by means of tools from the representation theory of symmetric groups S_N such
as decompositions of ideals of the group ring C[S_N], idempotents of C[S_N],
discrete Fourier transforms of S_N, Littlewood-Richardson products. In
particular, we determine smallest symmetry classes and stability subgroups of
both single eigenvectors v and subspaces U of eigenvectors of the Hamiltonian
of the magnet. The determination of the smallest symmetry class for U bases on
an algorithm which calculates explicitely a generating idempotent for a
non-direct sum of right ideals of C[S_N]. Let U be a subspace of eigenvectors
of a a fixed eigenvalue \mu of the Hamiltonian with weight (r_1,r_2). If one
determines the smallest symmetry class for every v in U then one can observe
jumps of the symmetry behaviour. For ''generic'' v all smallest symmetry
classes have the same maximal dimension d and structure. But U can contain
linear subspaces on which the dimension of the smallest symmetry class of v
jumps to a value smaller than d. Then the stability subgroup of v can increase.
We can calculate such jumps explicitely. In our investigations we use computer
calculations by means of the Mathematica packages PERMS and HRing.
| math.CO math.QA | we define symmetry classes and commutation symmetries in the hilbert space h of the 1d spin12 heisenberg magnetic ring with n sites and investigate them by means of tools from the representation theory of symmetric groups s_n such as decompositions of ideals of the group ring cs_n idempotents of cs_n discrete fourier transforms of s_n littlewoodrichardson products in particular we determine smallest symmetry classes and stability subgroups of both single eigenvectors v and subspaces u of eigenvectors of the hamiltonian of the magnet the determination of the smallest symmetry class for u bases on an algorithm which calculates explicitely a generating idempotent for a nondirect sum of right ideals of cs_n let u be a subspace of eigenvectors of a a fixed eigenvalue mu of the hamiltonian with weight r_1r_2 if one determines the smallest symmetry class for every v in u then one can observe jumps of the symmetry behaviour for generic v all smallest symmetry classes have the same maximal dimension d and structure but u can contain linear subspaces on which the dimension of the smallest symmetry class of v jumps to a value smaller than d then the stability subgroup of v can increase we can calculate such jumps explicitely in our investigations we use computer calculations by means of the mathematica packages perms and hring | [['we', 'define', 'symmetry', 'classes', 'and', 'commutation', 'symmetries', 'in', 'the', 'hilbert', 'space', 'h', 'of', 'the', '1d', 'spin12', 'heisenberg', 'magnetic', 'ring', 'with', 'n', 'sites', 'and', 'investigate', 'them', 'by', 'means', 'of', 'tools', 'from', 'the', 'representation', 'theory', 'of', 'symmetric', 'groups', 's_n', 'such', 'as', 'decompositions', 'of', 'ideals', 'of', 'the', 'group', 'ring', 'cs_n', 'idempotents', 'of', 'cs_n', 'discrete', 'fourier', 'transforms', 'of', 's_n', 'littlewoodrichardson', 'products', 'in', 'particular', 'we', 'determine', 'smallest', 'symmetry', 'classes', 'and', 'stability', 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709.0105 | Representations and characters of the Virasoro algebra and N=1
super-Virasoro algebras | We present the list of irreducible (generalized) highest weight modules over
the Virasoro algebra and N=1 super-Virasoro algebras obtained as factor-modules
of (generalized) Verma modules. We present also the character formulae of all
these modules and single out the unitary irreducible ones. Most formulas are
valid for the three algebras under consideration, the different cases being
distinguished by two parameters. This is a slightly extended version of an
Encyclopedia entry.
| hep-th math-ph math.MP math.QA math.RT | we present the list of irreducible generalized highest weight modules over the virasoro algebra and n1 supervirasoro algebras obtained as factormodules of generalized verma modules we present also the character formulae of all these modules and single out the unitary irreducible ones most formulas are valid for the three algebras under consideration the different cases being distinguished by two parameters this is a slightly extended version of an encyclopedia entry | [['we', 'present', 'the', 'list', 'of', 'irreducible', 'generalized', 'highest', 'weight', 'modules', 'over', 'the', 'virasoro', 'algebra', 'and', 'n1', 'supervirasoro', 'algebras', 'obtained', 'as', 'factormodules', 'of', 'generalized', 'verma', 'modules', 'we', 'present', 'also', 'the', 'character', 'formulae', 'of', 'all', 'these', 'modules', 'and', 'single', 'out', 'the', 'unitary', 'irreducible', 'ones', 'most', 'formulas', 'are', 'valid', 'for', 'the', 'three', 'algebras', 'under', 'consideration', 'the', 'different', 'cases', 'being', 'distinguished', 'by', 'two', 'parameters', 'this', 'is', 'a', 'slightly', 'extended', 'version', 'of', 'an', 'encyclopedia', 'entry']] | [-0.17296961155058682, 0.09567244683358181, -0.03632432115736647, 0.045391044140779886, -0.06671549914998637, -0.18020098856852754, -0.055516081322254475, 0.33487931736137555, -0.3095543011769895, -0.1973461933919917, 0.1457801889628172, -0.24148142095815484, -0.13525653425334155, 0.20669508799640596, -0.06504361125521625, -0.0467806728337419, 0.10707091891031334, 0.11349134561538264, -0.1293067010861916, -0.3133856766195833, 0.386735279828418, 0.03047633442717294, 0.2463815423619488, -0.030347488742099023, 0.11873934014389913, 0.05606938385661098, -0.029361047060735036, -0.05277427135563588, -0.1324270736237151, 0.1352738498143204, 0.32819087009715, 0.07368274048591654, 0.17843416698978862, -0.36105813957966754, -0.07335424270359395, 0.16465825731933548, 0.15956255564790056, 0.07215644319312296, 0.021853375923482403, -0.23860937302959137, 0.061276442344313946, -0.28387079661901016, -0.11230168972785275, -0.06486056880026624, 0.04286110518581193, -0.039105669406337154, -0.21026147517335156, 0.021503963287956878, 0.08476671635888625, 0.10568796389776727, -0.15974097534595733, -0.23896644866444927, -0.043911410151454416, 0.11267027887178288, -0.06988399405288848, -0.08216779037932123, 0.09240482453310835, -0.13640281593467554, -0.16658792685231436, 0.3342746531293876, -0.0003913701241970926, -0.24039587616056635, 0.12171150921115084, -0.14697129632332834, -0.19733833997388897, 0.10332912374017895, 0.008032051083780285, 0.11534264755259821, -0.1392951868267804, 0.10815150213623555, -0.12583836612791038, 0.00759384459377253, 0.11206545608550095, 0.008031399947577629, 0.19046426457234833, 0.03550993115303741, -0.025737503133511738, 0.1939422066350454, 0.02052494076391061, -0.01392852280801837, -0.3959389332735884, -0.1676305874294696, -0.09126059737130729, 0.0433252291969847, -0.12275972286790973, -0.1331813186660166, 0.48335268850559776, 0.12482514515843081, 0.16371278329819872, 0.14924259718669497, 0.17251409264281392, 0.11135772506173268, 0.15619007581372515, 0.045515996370248606, 0.13218565090842868, 0.20285965577678997, -0.01302323291905771, -0.09921472726821684, -0.026779906892983676, 0.19229751293533953] |
709.0106 | Antiphase Stripe Order as the Origin of Electron Pockets Observed in
1/8-Hole-Doped Cuprates | Recent quantum oscillation measurements on underdoped cuprates are shown to
be consistent with the predictions of a mean field theory of the 1/8 magnetic
antiphase stripe order proposed to occur in high-$T_c$ cuprates. In particular,
for intermediate values of the stripe order parameter, the magneto-transport is
found to be dominated by an electron pocket.
| cond-mat.supr-con cond-mat.str-el | recent quantum oscillation measurements on underdoped cuprates are shown to be consistent with the predictions of a mean field theory of the 18 magnetic antiphase stripe order proposed to occur in hight_c cuprates in particular for intermediate values of the stripe order parameter the magnetotransport is found to be dominated by an electron pocket | [['recent', 'quantum', 'oscillation', 'measurements', 'on', 'underdoped', 'cuprates', 'are', 'shown', 'to', 'be', 'consistent', 'with', 'the', 'predictions', 'of', 'a', 'mean', 'field', 'theory', 'of', 'the', '18', 'magnetic', 'antiphase', 'stripe', 'order', 'proposed', 'to', 'occur', 'in', 'hight_c', 'cuprates', 'in', 'particular', 'for', 'intermediate', 'values', 'of', 'the', 'stripe', 'order', 'parameter', 'the', 'magnetotransport', 'is', 'found', 'to', 'be', 'dominated', 'by', 'an', 'electron', 'pocket']] | [-0.17513598633404062, 0.23864156062336406, -0.021215913437858776, 0.06707985465699393, -0.05777546939336591, -0.1021285199439498, 0.05696769139979518, 0.3305768269907545, -0.22081397801499675, -0.29303010861676065, 0.016640667713040277, -0.3625086982975955, -0.09338018638771717, 0.2274025705539518, -0.00715464921840639, 0.025523263812593306, -0.07924666273390392, 0.02129530227156701, -0.1048066278712617, -0.2855489013492371, 0.29073072750017875, 0.0077518510213984105, 0.3190363499732619, 0.015600693858383844, 0.006637774407863617, -0.046020254527253134, 0.08930575469491521, 0.07329610280727071, -0.19790380541235209, 0.039215787020684394, 0.36225195530870996, -0.13017596874420564, 0.16605720284429412, -0.41290698555746563, -0.23255367183850872, -0.016188859491160622, 0.1726426055085742, 0.16344609980781874, -0.05374940537580254, -0.30089827970153205, 0.07597586403911312, -0.14748132444435247, -0.12421974247424966, -0.1115803151667394, -0.032419802748201484, -0.0042202020477917455, -0.29227915351037626, 0.15617385560957095, 0.008540295357643455, 0.08924439677071792, -0.1308178865885431, -0.10083014317960651, -0.04361720048581009, 0.01575842271214006, 0.11906684919139715, 0.16029690968355648, 0.09320247049132983, -0.11745245301130193, -0.14241798346241316, 0.3190506845022793, -0.011489361546140301, -0.03389323827017237, 0.08274286631839695, -0.27350420134866404, -0.07601728563679865, 0.1647575069218874, 0.07609581050389723, 0.07136015093850868, -0.09710998577928101, 0.05177628017824005, -0.039848601790489976, 0.20953128262664433, 0.027615869823084387, 0.08453875578319033, 0.2808202316777574, 0.2201266378397122, 0.029888884785274666, 0.043580058742211096, -0.17102330455263318, -0.07738375282604937, -0.2379465103149414, -0.0842533488240507, -0.19290051500623426, 0.009147140124157347, -0.05874584264259924, -0.20231005925570908, 0.3739582041657909, 0.1908984274810387, 0.23795490810233685, -0.12958442064485065, 0.1995433964766562, 0.13002405517208562, 0.07849302337746378, 0.03352199228376978, 0.27941977355146297, 0.18017722373500605, 0.11132960739821472, -0.2944569655055939, 0.09840346782476883, 0.018792434319577837] |
709.0107 | Real-world ballistics: A dropped bucket | I discuss an apparently simple ballistics problem: the time it takes an
object to fall a small vertical distance near the surface of the Earth. It
turns out to be not so simple; I spend a great deal of time on the quantitative
assessment of the assumptions involved, especially with regards to the
influence of the air. The point is \emph{not} to solve the problem; indeed I
don't even end up solving the problem exactly. I introduce dimensional analysis
to perform all of the calculations approximately. The principal theme of the
lecture is that \emph{real} physics can be very different from ``textbook''
physics, since in the real world you aren't ever told what equations are
appropriate, or why.
| physics.ed-ph | i discuss an apparently simple ballistics problem the time it takes an object to fall a small vertical distance near the surface of the earth it turns out to be not so simple i spend a great deal of time on the quantitative assessment of the assumptions involved especially with regards to the influence of the air the point is emphnot to solve the problem indeed i dont even end up solving the problem exactly i introduce dimensional analysis to perform all of the calculations approximately the principal theme of the lecture is that emphreal physics can be very different from textbook physics since in the real world you arent ever told what equations are appropriate or why | [['i', 'discuss', 'an', 'apparently', 'simple', 'ballistics', 'problem', 'the', 'time', 'it', 'takes', 'an', 'object', 'to', 'fall', 'a', 'small', 'vertical', 'distance', 'near', 'the', 'surface', 'of', 'the', 'earth', 'it', 'turns', 'out', 'to', 'be', 'not', 'so', 'simple', 'i', 'spend', 'a', 'great', 'deal', 'of', 'time', 'on', 'the', 'quantitative', 'assessment', 'of', 'the', 'assumptions', 'involved', 'especially', 'with', 'regards', 'to', 'the', 'influence', 'of', 'the', 'air', 'the', 'point', 'is', 'emphnot', 'to', 'solve', 'the', 'problem', 'indeed', 'i', 'dont', 'even', 'end', 'up', 'solving', 'the', 'problem', 'exactly', 'i', 'introduce', 'dimensional', 'analysis', 'to', 'perform', 'all', 'of', 'the', 'calculations', 'approximately', 'the', 'principal', 'theme', 'of', 'the', 'lecture', 'is', 'that', 'emphreal', 'physics', 'can', 'be', 'very', 'different', 'from', 'textbook', 'physics', 'since', 'in', 'the', 'real', 'world', 'you', 'arent', 'ever', 'told', 'what', 'equations', 'are', 'appropriate', 'or', 'why']] | [-0.06960534046145582, 0.10015460242092081, -0.10887628169414604, 0.10095080742277047, -0.11606506475492112, -0.16838702130904895, 0.021670171683180636, 0.3459191129037763, -0.2894764271470071, -0.31161680068599723, 0.12418902945365377, -0.2864773808347093, -0.13723162390583715, 0.18648718467467637, -0.08196032352713963, -0.01296031114376955, 0.08010383742324756, 0.0718910696411158, -0.06938661777382811, -0.28357851980214593, 0.3002996367828573, 0.07234656356938057, 0.23435932897441722, 0.04969993486637408, 0.08316570382281127, -0.035249384435809265, -0.032299557964167544, 0.039201722346183104, -0.09388676829177588, 0.07879086050710057, 0.28412562525846946, 0.151431605247465, 0.3142085141044552, -0.4666448747265642, -0.15921958121550034, 0.11866853703247478, 0.12393360281061239, 0.10982410717258324, 0.0027279524651545465, -0.2319430364374766, 0.05715458686522729, -0.11521527205862231, -0.15960091950941113, -0.028701362934089817, 0.03964573810107896, -0.0546057168867881, -0.17813154262632636, 0.014144136116571598, 0.07099751117481393, 0.05396367603920595, -0.029705340007193767, -0.11776405798470585, 0.0339910463633221, 0.16156883196218602, 0.09033116751737198, 0.01621126783893333, 0.10111206415961733, -0.11942796191375483, -0.05426832717859139, 0.45213657248196965, 0.011755668676568794, -0.18902448268007424, 0.1808842457791443, -0.1508586964948829, -0.13287005912891384, 0.11424320511780363, 0.1514309314908302, 0.13037172901459923, -0.14218229887675557, 0.08788324723620031, -0.048813627653960454, 0.1571566896560953, 0.04803770964854728, -0.03519409056358292, 0.22673541902745994, 0.1352420146419209, 0.05824658241896433, 0.06492744374949233, -0.056423534353074255, -0.12077098717455263, -0.29375350736555156, -0.16873265210917945, -0.17130293463597515, 0.08405970259862104, -0.031974409033062916, -0.17587653723529587, 0.3694190353754971, 0.19826789500765993, 0.20182436988767932, 0.0027363156915594967, 0.26561494605710445, 0.12234119994376423, 0.05392555507951637, 0.07148371175152518, 0.2635204106888939, 0.04736090996065887, 0.1174997709517888, -0.1701121460547734, 0.06039158774981812, 0.03849904841380352] |
709.0108 | X-ray Group and cluster mass profiles in MOND: Unexplained mass on the
group scale | Although very successful in explaining the observed conspiracy between the
baryonic distribution and the gravitational field in spiral galaxies without
resorting to dark matter (DM), the modified Newtonian dynamics (MOND) paradigm
still requires DM in X-ray bright systems. Here, to get a handle on the
distribution and importance of this DM, and thus on its possible form, we
deconstruct the mass profiles of 26 X-ray emitting systems in MOND, with
temperatures ranging from 0.5 to 9 keV. Initially we compute the MOND dynamical
mass as a function of radius, then subtract the known gas mass along with a
component of galaxies which includes the cD galaxy with $M/L_K=1$. Next we test
the compatibility of the required DM with ordinary massive neutrinos at the
experimental limit of detection ($m_{\nu}=2$ eV), with density given by the
Tremaine-Gunn limit. Even by considering that the neutrino density stays
constant and maximal within the central 100 or 150 kpc (which is the absolute
upper limit of a possible neutrino contribution there), we show that these
neutrinos can never account for the required DM within this region. The natural
corollary of this finding is that, whereas clusters (T $\ga$ 3 keV) might have
most of their mass accounted for if ordinary neutrinos have a 2 eV mass, groups
(T $\lsim$ 2 keV) cannot be explained by a 2 eV neutrino contribution. This
means that, for instance, cluster baryonic dark matter (CBDM, Milgrom 2007) or
even sterile neutrinos would present a more satisfactory solution to the
problem of missing mass in MOND X-ray emitting systems.
| astro-ph | although very successful in explaining the observed conspiracy between the baryonic distribution and the gravitational field in spiral galaxies without resorting to dark matter dm the modified newtonian dynamics mond paradigm still requires dm in xray bright systems here to get a handle on the distribution and importance of this dm and thus on its possible form we deconstruct the mass profiles of 26 xray emitting systems in mond with temperatures ranging from 05 to 9 kev initially we compute the mond dynamical mass as a function of radius then subtract the known gas mass along with a component of galaxies which includes the cd galaxy with ml_k1 next we test the compatibility of the required dm with ordinary massive neutrinos at the experimental limit of detection m_nu2 ev with density given by the tremainegunn limit even by considering that the neutrino density stays constant and maximal within the central 100 or 150 kpc which is the absolute upper limit of a possible neutrino contribution there we show that these neutrinos can never account for the required dm within this region the natural corollary of this finding is that whereas clusters t ga 3 kev might have most of their mass accounted for if ordinary neutrinos have a 2 ev mass groups t lsim 2 kev cannot be explained by a 2 ev neutrino contribution this means that for instance cluster baryonic dark matter cbdm milgrom 2007 or even sterile neutrinos would present a more satisfactory solution to the problem of missing mass in mond xray emitting systems | [['although', 'very', 'successful', 'in', 'explaining', 'the', 'observed', 'conspiracy', 'between', 'the', 'baryonic', 'distribution', 'and', 'the', 'gravitational', 'field', 'in', 'spiral', 'galaxies', 'without', 'resorting', 'to', 'dark', 'matter', 'dm', 'the', 'modified', 'newtonian', 'dynamics', 'mond', 'paradigm', 'still', 'requires', 'dm', 'in', 'xray', 'bright', 'systems', 'here', 'to', 'get', 'a', 'handle', 'on', 'the', 'distribution', 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0.010298821493954391, -0.0007276984929764109] |
709.0109 | Local convergence for alternating and averaged nonconvex projections | The idea of a finite collection of closed sets having "strongly regular
intersection" at a given point is crucial in variational analysis. We show that
this central theoretical tool also has striking algorithmic consequences.
Specifically, we consider the case of two sets, one of which we assume to be
suitably "regular" (special cases being convex sets, smooth manifolds, or
feasible regions satisfying the Mangasarian-Fromovitz constraint
qualification). We then prove that von Neumann's method of "alternating
projections" converges locally to a point in the intersection, at a linear rate
associated with a modulus of regularity. As a consequence, in the case of
several arbitrary closed sets having strongly regular intersection at some
point, the method of "averaged projections" converges locally at a linear rate
to a point in the intersection. Inexact versions of both algorithms also
converge linearly.
| math.OC math.NA | the idea of a finite collection of closed sets having strongly regular intersection at a given point is crucial in variational analysis we show that this central theoretical tool also has striking algorithmic consequences specifically we consider the case of two sets one of which we assume to be suitably regular special cases being convex sets smooth manifolds or feasible regions satisfying the mangasarianfromovitz constraint qualification we then prove that von neumanns method of alternating projections converges locally to a point in the intersection at a linear rate associated with a modulus of regularity as a consequence in the case of several arbitrary closed sets having strongly regular intersection at some point the method of averaged projections converges locally at a linear rate to a point in the intersection inexact versions of both algorithms also converge linearly | [['the', 'idea', 'of', 'a', 'finite', 'collection', 'of', 'closed', 'sets', 'having', 'strongly', 'regular', 'intersection', 'at', 'a', 'given', 'point', 'is', 'crucial', 'in', 'variational', 'analysis', 'we', 'show', 'that', 'this', 'central', 'theoretical', 'tool', 'also', 'has', 'striking', 'algorithmic', 'consequences', 'specifically', 'we', 'consider', 'the', 'case', 'of', 'two', 'sets', 'one', 'of', 'which', 'we', 'assume', 'to', 'be', 'suitably', 'regular', 'special', 'cases', 'being', 'convex', 'sets', 'smooth', 'manifolds', 'or', 'feasible', 'regions', 'satisfying', 'the', 'mangasarianfromovitz', 'constraint', 'qualification', 'we', 'then', 'prove', 'that', 'von', 'neumanns', 'method', 'of', 'alternating', 'projections', 'converges', 'locally', 'to', 'a', 'point', 'in', 'the', 'intersection', 'at', 'a', 'linear', 'rate', 'associated', 'with', 'a', 'modulus', 'of', 'regularity', 'as', 'a', 'consequence', 'in', 'the', 'case', 'of', 'several', 'arbitrary', 'closed', 'sets', 'having', 'strongly', 'regular', 'intersection', 'at', 'some', 'point', 'the', 'method', 'of', 'averaged', 'projections', 'converges', 'locally', 'at', 'a', 'linear', 'rate', 'to', 'a', 'point', 'in', 'the', 'intersection', 'inexact', 'versions', 'of', 'both', 'algorithms', 'also', 'converge', 'linearly']] | [-0.13245963450031775, 0.058118708567680234, -0.09962070440655968, 0.06569044057442977, -0.023835499917095812, -0.15074939318817027, 0.05246163713643803, 0.3467818958698398, -0.3297117845372834, -0.1600454218352526, 0.1520526282978754, -0.2826411042440628, -0.11975197071195955, 0.20461214400732713, -0.09633910483306776, 0.04903868903630298, 0.08650642413863519, 0.09360171991815097, -0.11178803518346518, -0.27145367867761994, 0.3697579917701872, -0.027728671303195673, 0.2761710023738607, 0.03575049622501009, 0.11809214840160452, -0.002517382094269469, 0.013687851199333006, 0.11652316601640138, -0.11723229552529511, 0.11637779034293481, 0.26336207359104696, 0.13356105986486333, 0.31475416752407803, -0.38972572031954344, -0.1394432864158693, 0.17965256215419864, 0.10883379839896054, 0.05982715934498004, -0.044064326094545046, -0.20371817469420114, 0.13550392434130132, -0.10963327711597629, -0.19075932282696131, -0.0500962031413767, -0.0006858646550154598, 0.06152036605933069, -0.29786902848660035, 0.028352670322671993, 0.09729781123490011, 0.07087063041590426, -0.06317462338505136, -0.07626714684531419, -0.026696714362720992, 0.05230121958123887, 0.02121713834077147, 0.05983788479649781, 0.09026167404083331, -0.04974473535124022, -0.10238775564782512, 0.3493525922896653, -0.04290051870965773, -0.25638529579121155, 0.2027555753877998, -0.16156972436247952, -0.17474628323825062, 0.1145438811695883, 0.15189887222963094, 0.16631516264955493, -0.10206691943445535, 0.1436253670283532, -0.11318414622278762, 0.08923766655459946, 0.10808968682685037, 0.007298225125664994, 0.18200648829245764, 0.13036564217513277, 0.19087690686599698, 0.17574991941890497, -0.03952066336263882, -0.10086303043865809, -0.3621487948825977, -0.12089597719150466, -0.17123918863434862, 0.07347705257448103, -0.13031307372339343, -0.22810492064314383, 0.37029052155948905, 0.05727696359279926, 0.2013838309080877, 0.10744624272971176, 0.26826537675122275, 0.10984453892617412, 0.0007202739378668531, 0.123325513920536, 0.15663376893023076, 0.13103796929175401, 0.009280830669305185, -0.15078720871365908, 0.026559286091449488, 0.14359525735761944] |
709.011 | New bounds on the neutrino magnetic moment from the plasma induced
neutrino chirality flip in a supernova | The neutrino chirality-flip process under the conditions of the supernova
core is investigated in detail with the plasma polarization effects in the
photon propagator taken into account, in a more consistent way than in earlier
publications. It is shown in part that the contribution of the proton fraction
of plasma is essential. New upper bounds on the neutrino magnetic moment are
obtained: mu_nu < (0.5 - 1.1) 10^{-12} mu_B from the limit on the supernova
core luminosity for nu_R emission, and mu_nu < (0.4 - 0.6) 10^{-12} mu_B from
the limit on the averaged time of the neutrino spin-flip. The best upper bound
on the neutrino magnetic moment from SN1987A is improved by the factor of 3 to
7.
| hep-ph | the neutrino chiralityflip process under the conditions of the supernova core is investigated in detail with the plasma polarization effects in the photon propagator taken into account in a more consistent way than in earlier publications it is shown in part that the contribution of the proton fraction of plasma is essential new upper bounds on the neutrino magnetic moment are obtained mu_nu 05 11 1012 mu_b from the limit on the supernova core luminosity for nu_r emission and mu_nu 04 06 1012 mu_b from the limit on the averaged time of the neutrino spinflip the best upper bound on the neutrino magnetic moment from sn1987a is improved by the factor of 3 to 7 | [['the', 'neutrino', 'chiralityflip', 'process', 'under', 'the', 'conditions', 'of', 'the', 'supernova', 'core', 'is', 'investigated', 'in', 'detail', 'with', 'the', 'plasma', 'polarization', 'effects', 'in', 'the', 'photon', 'propagator', 'taken', 'into', 'account', 'in', 'a', 'more', 'consistent', 'way', 'than', 'in', 'earlier', 'publications', 'it', 'is', 'shown', 'in', 'part', 'that', 'the', 'contribution', 'of', 'the', 'proton', 'fraction', 'of', 'plasma', 'is', 'essential', 'new', 'upper', 'bounds', 'on', 'the', 'neutrino', 'magnetic', 'moment', 'are', 'obtained', 'mu_nu', '05', '11', '1012', 'mu_b', 'from', 'the', 'limit', 'on', 'the', 'supernova', 'core', 'luminosity', 'for', 'nu_r', 'emission', 'and', 'mu_nu', '04', '06', '1012', 'mu_b', 'from', 'the', 'limit', 'on', 'the', 'averaged', 'time', 'of', 'the', 'neutrino', 'spinflip', 'the', 'best', 'upper', 'bound', 'on', 'the', 'neutrino', 'magnetic', 'moment', 'from', 'sn1987a', 'is', 'improved', 'by', 'the', 'factor', 'of', '3', 'to', '7']] | [-0.05941277853942112, 0.20829492232802768, -0.006191070746306492, 0.14774645452608123, -0.010002003770078654, -0.0037290603990423614, 0.08301810013312523, 0.34219103272518386, -0.14619665671463894, -0.34868953349473686, 0.056786249127522434, -0.31047499500538994, 0.02788927510542714, 0.2294210096416266, 0.054502234004599893, -0.02727820498150085, 0.04219913822396294, 0.031066470315841876, -0.06095417796472168, -0.2411373135836228, 0.2824381004128119, 0.09647517949342728, 0.24627131387064963, 0.1093656858970897, 0.0700429759717182, -0.06827292230496507, -0.022450986828493034, -0.0725215487425094, -0.11619111254169737, 0.029318923227812932, 0.1412059585637231, 0.0703013775445035, 0.1318572527769467, -0.41703318995626076, -0.14608775476783353, 0.07398284042820982, 0.15339852100562143, 0.03508330337278059, -0.0276086497390086, -0.28481087746179623, 0.04794234556510397, -0.17287253245873296, -0.128787557096423, 0.05467354023586149, 0.029520102752291638, -0.02445095576669859, -0.307884720656211, 0.13435875291976593, 0.03372430515414833, 0.009549519690462267, -0.09127173248840414, -0.2177381492908234, 0.0019819950279982195, 0.030438204834480648, 0.09933673272936848, 0.10129372192465741, 0.1486438182038989, -0.12541372683709082, -0.02058258331988169, 0.40458777148438535, -0.09941650973088817, -0.0764609687253023, 0.08553629157983739, -0.24756967150100062, -0.1306281908293781, 0.2049810888002748, 0.12827224788944358, 0.07384171874626823, -0.17321940150273882, 0.09760398052420224, -0.034954535608868235, 0.17675248881720979, 0.05040121078086288, 0.014049948733325279, 0.2445516619993293, 0.19541953255462904, 0.08945720537525156, 0.06468404728473852, -0.17141722316408287, -0.0218536459537142, -0.3187004673092262, -0.07152410767334716, -0.15355073633482275, 0.12830513437764476, -0.14108831229728505, -0.07255761335862031, 0.37092004831394426, 0.15501315395307283, 0.17777028824506408, -0.015891802263365166, 0.28645028677242607, 0.14003553077345715, 0.07178822794686193, 0.08180197324279857, 0.32617174332591947, 0.20924530576955042, 0.13534511683974415, -0.2465728745289633, 0.04751037506224669, 0.06907672427351708] |
709.0111 | A new method for the estimation of variance matrix with prescribed zeros
in nonlinear mixed effects models | We propose a new method for the Maximum Likelihood Estimator (MLE) of
nonlinear mixed effects models when the variance matrix of Gaussian random
effects has a prescribed pattern of zeros (PPZ). The method consists in
coupling the recently developed Iterative Conditional Fitting (ICF) algorithm
with the Expectation Maximization (EM) algorithm. It provides positive definite
estimates for any sample size, and does not rely on any structural assumption
on the PPZ. It can be easily adapted to many versions of EM.
| stat.ME | we propose a new method for the maximum likelihood estimator mle of nonlinear mixed effects models when the variance matrix of gaussian random effects has a prescribed pattern of zeros ppz the method consists in coupling the recently developed iterative conditional fitting icf algorithm with the expectation maximization em algorithm it provides positive definite estimates for any sample size and does not rely on any structural assumption on the ppz it can be easily adapted to many versions of em | [['we', 'propose', 'a', 'new', 'method', 'for', 'the', 'maximum', 'likelihood', 'estimator', 'mle', 'of', 'nonlinear', 'mixed', 'effects', 'models', 'when', 'the', 'variance', 'matrix', 'of', 'gaussian', 'random', 'effects', 'has', 'a', 'prescribed', 'pattern', 'of', 'zeros', 'ppz', 'the', 'method', 'consists', 'in', 'coupling', 'the', 'recently', 'developed', 'iterative', 'conditional', 'fitting', 'icf', 'algorithm', 'with', 'the', 'expectation', 'maximization', 'em', 'algorithm', 'it', 'provides', 'positive', 'definite', 'estimates', 'for', 'any', 'sample', 'size', 'and', 'does', 'not', 'rely', 'on', 'any', 'structural', 'assumption', 'on', 'the', 'ppz', 'it', 'can', 'be', 'easily', 'adapted', 'to', 'many', 'versions', 'of', 'em']] | [-0.05481321582919918, 0.04713236086536199, -0.1427440999483224, 0.08665242271672469, -0.11260471345158293, -0.18422396883252076, 0.034904642721812706, 0.3917011815938167, -0.22374176354060182, -0.3013449265621603, 0.109700044382771, -0.22496352951275184, -0.18201753906614612, 0.16930949029920156, -0.07228477349271997, 0.13639005890581757, 0.07244983005803078, 0.0346038520016009, -0.08102295988064726, -0.27719621894793817, 0.27355444519780575, 0.059736253274604675, 0.3071041036164388, -0.0006635558791458606, 0.14605032243998722, 0.08461142185842618, -0.01867068339488469, 0.05057602149900049, -0.10931846966268495, 0.08986317357921507, 0.1819414873686128, 0.21125356840202586, 0.3436895089689642, -0.3607438272908439, -0.2216106513165869, 0.20892141025979072, 0.12618661939704906, 0.12376981756679015, -0.018592011657892725, -0.23922453241830227, 0.08929524073319044, -0.1189525491092354, -0.07701098427642136, -0.08347853480663617, -0.06838957719737664, 0.02308926893165335, -0.3980952282960061, 0.08714191126055085, 0.062146463521639814, 0.013422356080263853, -0.021679693041369318, -0.19591448871651665, 0.05401757045183331, 0.01709699994426046, 0.011551661172416062, -0.010864021491579478, 0.10405891296104527, -0.057240282115526495, -0.11100436931592413, 0.29589188888203355, -0.07253613348002545, -0.2655498648993671, 0.11813818783266469, -0.09489704312290996, -0.14230063832364975, 0.15602457446511836, 0.18452180036110805, 0.14138907795422712, -0.14480348793822487, 0.12181535710624303, -0.06229269508621656, 0.1600402112584561, 0.005566382687538863, -0.02595036830753088, 0.1481083329708781, 0.10206051399291027, 0.12748373317226652, 0.11711704813496908, -0.09355258510331624, -0.06870800392352976, -0.26615535682067276, -0.12416482575936243, -0.25694086829898877, 0.006921065102687862, -0.16289603312598047, -0.2517471136176027, 0.3806141266599298, 0.17526180903078056, 0.166941079008393, 0.10264849832747132, 0.3048624080591253, 0.149846244440414, 0.07666689337929711, 0.116264076391235, 0.19237902302411386, 0.15618401175597682, 0.028903248033020645, -0.19601538204587995, 0.18555160522810182, 0.11100208993302658] |
709.0112 | On the precision of the spectral profile | We examine the spectral profile bound of Goel, Montenegro and Tetali for the
uniform mixing time of continuous-time random walk in reversible settings. We
find that it is precise up to a log log factor, and that this log log factor
cannot be improved.
| math.PR | we examine the spectral profile bound of goel montenegro and tetali for the uniform mixing time of continuoustime random walk in reversible settings we find that it is precise up to a log log factor and that this log log factor cannot be improved | [['we', 'examine', 'the', 'spectral', 'profile', 'bound', 'of', 'goel', 'montenegro', 'and', 'tetali', 'for', 'the', 'uniform', 'mixing', 'time', 'of', 'continuoustime', 'random', 'walk', 'in', 'reversible', 'settings', 'we', 'find', 'that', 'it', 'is', 'precise', 'up', 'to', 'a', 'log', 'log', 'factor', 'and', 'that', 'this', 'log', 'log', 'factor', 'can', 'not', 'be', 'improved']] | [-0.10311546747883162, 0.12644592614637482, -0.09227646928694513, 0.08119978830218315, -0.013325955304834578, -0.18259548562475378, 0.15336562419931093, 0.4097968107296361, -0.23072163445047206, -0.34267728072591125, 0.08437600937516739, -0.22532634718550576, -0.11855507890383403, 0.20112975426018237, -0.11590837792803844, 0.049303823171390426, -0.003965174448159006, -0.024952912496195898, -0.06417233119977431, -0.31582775720291667, 0.23638511817488406, 0.08338453713804483, 0.22924336383326185, 0.04652096232813266, 0.07049924701245294, -0.003464274077365796, -0.014040099208553631, 0.004525272424022357, -0.17836332881157027, 0.060783801095870636, 0.1907032307179179, 0.11709165848377678, 0.19017617909444703, -0.3202956543614467, -0.18217420160977377, 0.16119187542547783, 0.14870443853239218, 0.07293982451988591, 0.03016563577370511, -0.21672262934346995, 0.11711357727439867, -0.1201230863109231, -0.10031345265193117, -0.06658801078382466, 0.05214941393997934, -0.0052581494467126, -0.3376254528450469, 0.09890394242894318, 0.10697446602086226, -0.009916644833154149, 0.08715405551095803, -0.10147434725529618, 0.042161181569099426, 0.0955210148770776, -0.025164104692844882, 0.07957795026401679, 0.11006231885403395, -0.07146542015899386, -0.07478411644697189, 0.3136575791933056, -0.17267570118937228, -0.12307134098890755, 0.11072767467962372, -0.130872031754633, -0.19243269620670211, 0.0879687596940332, 0.17427576625616187, 0.18201184945387971, -0.1047522377429737, 0.13018925102789783, -0.09710531300968595, 0.22754789617740445, 0.09963671014540726, 0.009888384263548586, 0.01745872390973899, 0.1315223541886856, 0.12909680153760644, 0.07037935389154074, -0.02211503078126245, -0.0940802619068159, -0.2545840161542098, -0.2106969801049369, -0.14825341851553983, 0.13805492671963293, -0.20016562724162618, -0.15214934539463784, 0.32216556883520553, 0.12163352431315515, 0.252433385190347, 0.14024193725652165, 0.2446410266475545, 0.20321094865600267, -0.014200920570227834, 0.1932861213779284, 0.1568084057006571, 0.09748601387772295, 0.02853842611528105, -0.19695613691583275, 0.10064117072357072, 0.057378349805043805] |
709.0113 | A remark on utility streams | We consider arbitrarily long, but finite utility streams, and some
appropriate axioms.
| math.LO | we consider arbitrarily long but finite utility streams and some appropriate axioms | [['we', 'consider', 'arbitrarily', 'long', 'but', 'finite', 'utility', 'streams', 'and', 'some', 'appropriate', 'axioms']] | [-0.22926198619340235, 0.16640238968345025, -0.08036078186705709, 0.23829808738082647, -0.16340154269710183, -0.25184139236807823, 0.08666008089979489, 0.4569593171278636, -0.3371460270136595, -0.22608422177533308, 0.1857767936695988, -0.22941870180269083, -0.08172872895374894, 0.10004800891814132, -0.1451513921347214, 0.11998399316022794, 0.10843454549709956, 0.06900294288061559, -0.030358246139561135, -0.34280355292139575, 0.320249588539203, -0.06835143857945998, 0.22463770660882196, 0.04969061228136221, 0.21035339621206126, 0.06860637040032695, -0.038698158925399184, 0.15388723773260912, -0.16812652349472046, 0.07498067027578752, 0.334010257696112, 0.17951730421433845, 0.4012960152855764, -0.5001087871690592, -0.22552272793836892, 0.09672645463918646, 0.11142602935433388, 0.114412164199166, -0.032266224501654506, -0.2282822895795107, 0.11618375989686076, -0.29227714116374653, -0.15637581159050265, -0.08027230699857076, 0.05773955366263787, 0.1402676378687223, -0.2788252532482147, -0.06070014354190789, 0.13820298854261637, 0.057913599302992225, -0.08745128760347143, -0.02969035568336646, 0.12283367958540718, 0.10604786003629367, 0.09681127875228412, -0.08262294655044873, 0.07224623614456505, -0.07339744482305832, -0.05175103402386109, 0.36055340121189755, -0.06675026301915447, -0.26657504836718243, 0.1867251153162215, -0.14828586531803012, -0.12474154680967331, 0.033882872046281896, 0.11396007208774488, 0.104952120843033, -0.12663307297043502, 0.17226477339378712, -0.06821984425187111, 0.12351218960247934, 0.2040512531530112, 0.18859554757364094, 0.1821845325951775, 0.0301896370947361, 0.09615508606657386, 0.16695568144011, 0.03094468475319445, -0.12791450213020047, -0.3467456271561484, -0.05776467112203439, -0.14026774714390436, 0.10623098971943061, -0.17199215801156242, -0.16660911217331886, 0.24572585621111406, 0.16404138536502919, 0.24330425541847944, 0.17897737810077766, 0.32125000407298404, 0.09047443481783073, 0.02654171936834852, 0.10044139468421538, 0.038994962478075955, 0.0422893026843667, 0.03391852059091131, -0.08270241444309552, 0.08944455068558455, 0.02594301147231211] |
709.0114 | Unveiling the core of the Globular Cluster M15 in the Ultraviolet | We have obtained deep far- (FUV) and near-ultraviolet (NUV) images of the
inner region of the dense globular cluster M15 with the Advanced Camera for
Surveys on board the Hubble Space Telescope. The FUV-NUV colour-magnitude
diagram shows a well defined track of horizontal branch stars, as well as a
trail of blue stragglers and white dwarfs. The main sequence turn-off is
clearly visible at FUV~23.5 mag and FUV-NUV~3 mag, and the main sequence stars
form a prominent track that extends at least two magnitudes below the main
sequence turn-off. As such, this is the deepest FUV-NUV colour-magnitude
diagram of a globular cluster presented so far. Cataclysmic variable and blue
straggler candidates are the most centrally concentrated stellar populations,
which might either be an effect of mass segregation or reflect the preferred
birthplace in the dense cluster core of such dynamically-formed objects. We
find 41 FUV sources that exhibit significant variability. We classify the
variables based on an analysis of their UV colours and variability properties.
We find four previously known RR Lyrae and 13 further RR Lyrae candidates, one
known Cepheid and six further candidates, six cataclysmic variables, one known
and one probable SX Phoenicis star, and the well known low-mass X-ray binary
AC211. Our analysis represents the first detection of SX Phoenicis pulsations
in the FUV. We find that Cepheids, RR Lyraes and SX Phoenicis exhibit massive
variability amplitudes in this waveband (several mags).
| astro-ph | we have obtained deep far fuv and nearultraviolet nuv images of the inner region of the dense globular cluster m15 with the advanced camera for surveys on board the hubble space telescope the fuvnuv colourmagnitude diagram shows a well defined track of horizontal branch stars as well as a trail of blue stragglers and white dwarfs the main sequence turnoff is clearly visible at fuv235 mag and fuvnuv3 mag and the main sequence stars form a prominent track that extends at least two magnitudes below the main sequence turnoff as such this is the deepest fuvnuv colourmagnitude diagram of a globular cluster presented so far cataclysmic variable and blue straggler candidates are the most centrally concentrated stellar populations which might either be an effect of mass segregation or reflect the preferred birthplace in the dense cluster core of such dynamicallyformed objects we find 41 fuv sources that exhibit significant variability we classify the variables based on an analysis of their uv colours and variability properties we find four previously known rr lyrae and 13 further rr lyrae candidates one known cepheid and six further candidates six cataclysmic variables one known and one probable sx phoenicis star and the well known lowmass xray binary ac211 our analysis represents the first detection of sx phoenicis pulsations in the fuv we find that cepheids rr lyraes and sx phoenicis exhibit massive variability amplitudes in this waveband several mags | [['we', 'have', 'obtained', 'deep', 'far', 'fuv', 'and', 'nearultraviolet', 'nuv', 'images', 'of', 'the', 'inner', 'region', 'of', 'the', 'dense', 'globular', 'cluster', 'm15', 'with', 'the', 'advanced', 'camera', 'for', 'surveys', 'on', 'board', 'the', 'hubble', 'space', 'telescope', 'the', 'fuvnuv', 'colourmagnitude', 'diagram', 'shows', 'a', 'well', 'defined', 'track', 'of', 'horizontal', 'branch', 'stars', 'as', 'well', 'as', 'a', 'trail', 'of', 'blue', 'stragglers', 'and', 'white', 'dwarfs', 'the', 'main', 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709.0115 | Distinguishing between $w < -1$ Dark Energy Models | Recent data and new data analysis methods show that most probably the
parameter $w$ in the equation of state of the dark energy is smaller than -1 at
low redshifts. We briefly review some of the models with such a property and
without violating null energy condition. We investigate the difference between
the observables and predictions of these models, and how they can be explored
to single out or constrain the origin of dark energy and its properties.
| astro-ph hep-ph | recent data and new data analysis methods show that most probably the parameter w in the equation of state of the dark energy is smaller than 1 at low redshifts we briefly review some of the models with such a property and without violating null energy condition we investigate the difference between the observables and predictions of these models and how they can be explored to single out or constrain the origin of dark energy and its properties | [['recent', 'data', 'and', 'new', 'data', 'analysis', 'methods', 'show', 'that', 'most', 'probably', 'the', 'parameter', 'w', 'in', 'the', 'equation', 'of', 'state', 'of', 'the', 'dark', 'energy', 'is', 'smaller', 'than', '1', 'at', 'low', 'redshifts', 'we', 'briefly', 'review', 'some', 'of', 'the', 'models', 'with', 'such', 'a', 'property', 'and', 'without', 'violating', 'null', 'energy', 'condition', 'we', 'investigate', 'the', 'difference', 'between', 'the', 'observables', 'and', 'predictions', 'of', 'these', 'models', 'and', 'how', 'they', 'can', 'be', 'explored', 'to', 'single', 'out', 'or', 'constrain', 'the', 'origin', 'of', 'dark', 'energy', 'and', 'its', 'properties']] | [-0.09164899145850004, 0.1349471424563, -0.09867889549917518, 0.1268684216372024, -0.06908936192317364, -0.12177918066915411, 0.0374751787346143, 0.34376052289437026, -0.25628978424281695, -0.3533726443942541, 0.10495433529379228, -0.2962435607989438, -0.05447631266911347, 0.1872182294505481, 0.021221738326578185, 0.02079495159052432, 0.06363039010634217, 0.029428943991661072, -0.1042371420831515, -0.2127850532370548, 0.34845919294569355, 0.08583580178375809, 0.2466034881848221, 0.0737372789448366, 0.08815969038718882, -0.06354009329926413, -0.05596016445913567, -0.000951055019425276, -0.20183007832579627, 0.08013105211564554, 0.18626127388891361, 0.1543790375909362, 0.22943476320674214, -0.42615951745746994, -0.2178058786278901, 0.17323499662467304, 0.10380940122577624, 0.10019806547997853, -0.031213002022690117, -0.260680493618099, 0.102447861958913, -0.14191820692772475, -0.14317005005880043, -0.07505771190596697, -0.0206335577636193, 0.03309592652397278, -0.20896723544081816, 0.11177447783307005, 0.04094230262144732, -0.005302170912424724, -0.08033450157083093, -0.13422250435448801, -0.06479930009645148, 0.04631244483439682, 0.10221935962386525, -0.00993181118526711, 0.09401880501984404, -0.2068599218992182, -0.09037384543215665, 0.3948761032989774, -0.06816095550554262, -0.1792590357721425, 0.21354440354610768, -0.16554661667069945, -0.156775797633693, 0.05826832494364144, 0.15302071464845005, 0.0963696588594944, -0.132440073045496, 0.07186019645656089, 0.019783497620851565, 0.16787166461850014, 0.0035948892129967227, 0.07918147164253661, 0.23185048782481596, 0.14519758751759163, 0.012132326081299629, 0.06480878930485162, -0.11509065638081385, -0.04529897844753204, -0.32635579513720214, -0.16128510672252816, -0.15876710837563643, 0.032986197216161646, -0.08794764964748025, -0.08446628922739854, 0.3907379073878893, 0.1670897091292621, 0.24965324889247617, 0.00895780666420857, 0.2879067624513155, 0.11863506436109161, 0.0532683860629988, 0.07576050313834387, 0.28585645441415136, 0.09849969704802601, 0.07847895024296565, -0.2009217712419251, 0.04201224804049931, -0.016313773842576224] |
709.0116 | On Ultrametric Algorithmic Information | How best to quantify the information of an object, whether natural or
artifact, is a problem of wide interest. A related problem is the computability
of an object. We present practical examples of a new way to address this
problem. By giving an appropriate representation to our objects, based on a
hierarchical coding of information, we exemplify how it is remarkably easy to
compute complex objects. Our algorithmic complexity is related to the length of
the class of objects, rather than to the length of the object.
| cs.AI cs.CL | how best to quantify the information of an object whether natural or artifact is a problem of wide interest a related problem is the computability of an object we present practical examples of a new way to address this problem by giving an appropriate representation to our objects based on a hierarchical coding of information we exemplify how it is remarkably easy to compute complex objects our algorithmic complexity is related to the length of the class of objects rather than to the length of the object | [['how', 'best', 'to', 'quantify', 'the', 'information', 'of', 'an', 'object', 'whether', 'natural', 'or', 'artifact', 'is', 'a', 'problem', 'of', 'wide', 'interest', 'a', 'related', 'problem', 'is', 'the', 'computability', 'of', 'an', 'object', 'we', 'present', 'practical', 'examples', 'of', 'a', 'new', 'way', 'to', 'address', 'this', 'problem', 'by', 'giving', 'an', 'appropriate', 'representation', 'to', 'our', 'objects', 'based', 'on', 'a', 'hierarchical', 'coding', 'of', 'information', 'we', 'exemplify', 'how', 'it', 'is', 'remarkably', 'easy', 'to', 'compute', 'complex', 'objects', 'our', 'algorithmic', 'complexity', 'is', 'related', 'to', 'the', 'length', 'of', 'the', 'class', 'of', 'objects', 'rather', 'than', 'to', 'the', 'length', 'of', 'the', 'object']] | [-0.08749318422599771, 0.0254049951378885, -0.10609707094985864, 0.10431259866514854, -0.15547076302270094, -0.08809251826384971, 0.05950355816407707, 0.3744922201095641, -0.32542010295022833, -0.3246895898904266, 0.11590076237649324, -0.21269782674338283, -0.18301719925152246, 0.2177172460962601, -0.1799947001553815, 0.02778425776324738, 0.0267439981194577, 0.07611993891882828, -0.05244691986804721, -0.2588705929617087, 0.365893119057619, 0.08704714739331226, 0.23204764862940913, 0.046855387422416746, 0.1376945709424286, -0.013966943731467271, -0.027761310274744856, 0.01922339594912255, -0.10899429475278433, 0.2165232754015396, 0.2729692482228937, 0.1936517227762218, 0.2769688782121601, -0.36201920612961397, -0.1899362830016976, 0.08475537824005573, 0.14350513608633786, 0.14727495848897032, -0.03122986470022635, -0.2727684447135048, 0.11964484422478354, -0.14596221758114258, -0.10843277628929622, -0.058530101841636775, 0.06510680421501741, -0.04533928106057233, -0.23992059924693285, 0.007543623367131784, 0.09030623250137801, 0.030437743358164168, -0.03487979507223628, -0.047800382631349156, 0.08183903014822595, 0.17188054391439875, 0.03959426062245821, 0.048648597497289635, 0.11468814266310341, -0.17432444304597147, -0.1484363580272458, 0.43314836259888506, 0.017275449120534594, -0.2449451051197475, 0.2268787766780019, -0.04784925553369625, -0.1251510433081923, 0.12025730549518404, 0.1646073011403111, 0.1824901144437749, -0.15121838837546223, 0.046058843233462037, -0.08572433630925143, 0.23087066617505303, 0.008825619512333953, 0.04466453250283482, 0.2126022011962259, 0.20420219642698936, 0.0953877960256804, 0.21727704018456112, -0.05982391804660103, -0.07322434389471323, -0.2556229058503248, -0.15579643722452308, -0.19196336758697682, 0.020411753569376367, -0.0974024570407881, -0.19662290331961094, 0.4208741274865708, 0.22483949579469775, 0.23581832683720122, 0.05836749415116749, 0.2943397980054905, 0.08567940060252688, 0.04006418956165341, 0.030246388798729443, 0.16652090457835417, 0.10561278632617202, 0.04943769375376146, -0.18300801655812854, 0.06839157804450684, 0.0494133491850533] |
709.0117 | On Zariski's multiplicity conjecture | We discuss some features of the so-called Zariski's multiplicity problem
especially the application of the work of A'Campo on the zeta function of a
monodromy of an isolated singularity of a complex hypersurface to the problem.
| math.AG math.AT | we discuss some features of the socalled zariskis multiplicity problem especially the application of the work of acampo on the zeta function of a monodromy of an isolated singularity of a complex hypersurface to the problem | [['we', 'discuss', 'some', 'features', 'of', 'the', 'socalled', 'zariskis', 'multiplicity', 'problem', 'especially', 'the', 'application', 'of', 'the', 'work', 'of', 'acampo', 'on', 'the', 'zeta', 'function', 'of', 'a', 'monodromy', 'of', 'an', 'isolated', 'singularity', 'of', 'a', 'complex', 'hypersurface', 'to', 'the', 'problem']] | [-0.23664479438836375, -0.049796482945465764, -0.15881719140128958, 0.11728867267568906, -0.07951317159070943, -0.05430372175760567, -0.013684640690270398, 0.24518804236625633, -0.30600975602606517, -0.23014500569034782, 0.12241959231646939, -0.2849051577504724, -0.1965579011787971, 0.19518669800729388, -0.09753363897713523, 0.07658552492244376, 0.05802605099355181, 0.11726995323422468, -0.09559023986932719, -0.2545155068445537, 0.48969409035311806, 0.01678477181121707, 0.153625995075951, 0.12044436306071778, 0.09463409776799381, 0.049925464942740895, 0.011350208983963562, -0.011218145489692688, -0.14942536015425706, 0.15791188086667615, 0.22736138984974888, 0.12717196015485874, 0.263307139225718, -0.3672093838039372, -0.1737505873121942, 0.17844476897476447, 0.15194662052413654, 0.05797793555797802, -0.03287622688609796, -0.24517827036066187, 0.0957666290147851, -0.12600546149123046, -0.24881582244173236, 0.033697770442813635, 0.002948898912614418, 0.02061356349279069, -0.20492734581542513, 0.04424807677666346, 0.09296023123897612, 0.09373813616629276, -0.0777690259532796, -0.08919358452678555, -0.010165512807563774, 0.08177123869407094, 0.06516441097483039, 0.01970852804111524, 0.07989022576819277, -0.21243817469156864, -0.10734987186474933, 0.3521680807073911, -0.018749894606622144, -0.19243856333196163, 0.14032320026308298, -0.1128803924140003, -0.18513037636876106, 0.09244629404404098, 0.12594607503463826, 0.2267108845214049, -0.04942887555807829, 0.14684840239998367, -0.07152655831952062, 0.06268919260603273, 0.10492870589304301, -0.020690441235072084, 0.18390795080793193, 0.13200540149894854, 0.04553301400867187, 0.1790393599205547, -0.06115982911109717, -0.041233329736213714, -0.3479684380193551, -0.2426972176051802, -0.1756625437281198, 0.10662333129180802, -0.12576285604801443, -0.2603717926993138, 0.47125251011715996, 0.08453148375782701, 0.3055511010396812, 0.0617760211850206, 0.24607513865662944, 0.11154247559089628, -0.0032374930774999987, -0.03649417065187461, 0.1281351350003711, 0.15030927586809006, 0.06515441929352367, -0.22038736375462678, -0.009512885370188288, 0.12401669327583578] |
709.0118 | Scanning optical homodyne detection of high-frequency picoscale
resonances in cantilever and tuning fork sensors | Higher harmonic modes in nanoscale silicon cantilevers and microscale quartz
tuning forks are detected and characterized using a custom scanning optical
homodyne interferometer. Capable of both mass and force sensing, these
resonators exhibit high-frequency harmonic motion content with picometer-scale
amplitudes detected in a 2.5 MHz bandwidth, driven by ambient thermal
radiation. Quartz tuning forks additionally display both in-plane and
out-of-plane harmonics. The first six electronically detected resonances are
matched to optically detected and mapped fork eigenmodes. Mass sensing
experiments utilizing higher tuning fork modes indicate >6x sensitivity
enhancement over fundamental mode operation.
| cond-mat.other | higher harmonic modes in nanoscale silicon cantilevers and microscale quartz tuning forks are detected and characterized using a custom scanning optical homodyne interferometer capable of both mass and force sensing these resonators exhibit highfrequency harmonic motion content with picometerscale amplitudes detected in a 25 mhz bandwidth driven by ambient thermal radiation quartz tuning forks additionally display both inplane and outofplane harmonics the first six electronically detected resonances are matched to optically detected and mapped fork eigenmodes mass sensing experiments utilizing higher tuning fork modes indicate 6x sensitivity enhancement over fundamental mode operation | [['higher', 'harmonic', 'modes', 'in', 'nanoscale', 'silicon', 'cantilevers', 'and', 'microscale', 'quartz', 'tuning', 'forks', 'are', 'detected', 'and', 'characterized', 'using', 'a', 'custom', 'scanning', 'optical', 'homodyne', 'interferometer', 'capable', 'of', 'both', 'mass', 'and', 'force', 'sensing', 'these', 'resonators', 'exhibit', 'highfrequency', 'harmonic', 'motion', 'content', 'with', 'picometerscale', 'amplitudes', 'detected', 'in', 'a', '25', 'mhz', 'bandwidth', 'driven', 'by', 'ambient', 'thermal', 'radiation', 'quartz', 'tuning', 'forks', 'additionally', 'display', 'both', 'inplane', 'and', 'outofplane', 'harmonics', 'the', 'first', 'six', 'electronically', 'detected', 'resonances', 'are', 'matched', 'to', 'optically', 'detected', 'and', 'mapped', 'fork', 'eigenmodes', 'mass', 'sensing', 'experiments', 'utilizing', 'higher', 'tuning', 'fork', 'modes', 'indicate', '6x', 'sensitivity', 'enhancement', 'over', 'fundamental', 'mode', 'operation']] | [-0.17536162436970146, 0.26798934177698003, 0.0386456991545856, -0.0826595918295662, -0.08248130595513983, -0.22856284874559724, 0.0502551895966146, 0.5343934431186189, -0.18661438650008716, -0.35521453631150984, 0.05654252944868463, -0.27170540327611176, -0.0842990102853788, 0.2638313906158462, 0.034036014130201096, 0.06161230681059153, 0.053044828557176515, -0.09782392299308887, 0.018385682994013896, -0.09013157509996192, 0.15011008654761573, 0.07552866435941288, 0.3551558933382773, -0.012087077266820099, 0.13100461374826566, -0.041323052323012074, 4.836352562288875e-05, -0.03082180098104088, -0.09298121832746445, 0.06787489323228922, 0.26603673727241467, -0.07022471295710167, 0.2019655448536429, -0.45186126600120863, -0.1795746777763428, 0.043893600001114384, 0.18002198719541015, 0.06260074445289439, -0.05182070200048063, -0.2917010753425648, -0.018493485900209, -0.12616313936482387, -0.13926654322700494, -0.1409616889571265, -0.0576317401137203, -0.00039713261851473993, -0.21273372043177244, 0.07403926165399911, -0.0008283242350444198, 0.14154983566992957, -0.0672284321576033, -0.07907857840030413, -0.05597388135957653, 0.02462080617070846, -0.07648284417455611, -0.019434824413822396, 0.3335827540849214, -0.06737900734372923, -0.120249871615037, 0.30804340949069464, -0.10446691255935509, -0.10557318049857554, 0.15741900328809963, -0.18996500923885437, 0.003533716374279364, 0.22004235099555683, 0.10747015605802121, 0.08040885483838477, -0.14369466625477956, -0.03884081713888166, 0.1306772952210968, 0.284200535720194, 0.28720620087013865, 0.12303922683729426, 0.25407104176955053, 0.16578291064892572, -0.0054998332634568214, 0.17331101132921226, -0.1624006941995543, 0.059817252754684254, -0.16757543439187272, -0.058706056913765875, -0.17832971954023535, -0.009386681329013536, -0.09747481587992693, -0.11590159530042791, 0.3787780554722185, 0.07764570121450917, 0.13037271643786327, -0.0463579521038691, 0.36116952939039987, 0.0794675204492903, 0.15534344684008672, 0.002527078097362233, 0.37289178435204795, 0.14777144861822625, 0.12088513799117999, -0.2766992551674459, -0.07557203529564582, -0.04740726821752184] |
709.0119 | The surface density profile of NGC 6388: a good candidate for harboring
an intermediate-mass black hole | We have used a combination of high resolution (HST ACS-HRC, ACS-WFC, and
WFPC2) and wide-field (ESO-WFI) observations of the galactic globular cluster
NGC 6388 to derive its center of gravity, projected density profile, and
central surface brightness profile. While the overall projected profiles are
well fit by a King model with intermediate concentration (c=1.8) and sizable
core radius (rc=7"), a significant power law (with slope \alpha=-0.2) deviation
from a flat core behavior has been detected within the inner 1 arcsecond. These
properties suggest the presence of a central intermediate mass black hole. The
observed profiles are well reproduced by a multi-mass isotropic, spherical
model including a black hole with a mass of ~5.7x10^3 Msol.
| astro-ph | we have used a combination of high resolution hst acshrc acswfc and wfpc2 and widefield esowfi observations of the galactic globular cluster ngc 6388 to derive its center of gravity projected density profile and central surface brightness profile while the overall projected profiles are well fit by a king model with intermediate concentration c18 and sizable core radius rc7 a significant power law with slope alpha02 deviation from a flat core behavior has been detected within the inner 1 arcsecond these properties suggest the presence of a central intermediate mass black hole the observed profiles are well reproduced by a multimass isotropic spherical model including a black hole with a mass of 57x103 msol | [['we', 'have', 'used', 'a', 'combination', 'of', 'high', 'resolution', 'hst', 'acshrc', 'acswfc', 'and', 'wfpc2', 'and', 'widefield', 'esowfi', 'observations', 'of', 'the', 'galactic', 'globular', 'cluster', 'ngc', '6388', 'to', 'derive', 'its', 'center', 'of', 'gravity', 'projected', 'density', 'profile', 'and', 'central', 'surface', 'brightness', 'profile', 'while', 'the', 'overall', 'projected', 'profiles', 'are', 'well', 'fit', 'by', 'a', 'king', 'model', 'with', 'intermediate', 'concentration', 'c18', 'and', 'sizable', 'core', 'radius', 'rc7', 'a', 'significant', 'power', 'law', 'with', 'slope', 'alpha02', 'deviation', 'from', 'a', 'flat', 'core', 'behavior', 'has', 'been', 'detected', 'within', 'the', 'inner', '1', 'arcsecond', 'these', 'properties', 'suggest', 'the', 'presence', 'of', 'a', 'central', 'intermediate', 'mass', 'black', 'hole', 'the', 'observed', 'profiles', 'are', 'well', 'reproduced', 'by', 'a', 'multimass', 'isotropic', 'spherical', 'model', 'including', 'a', 'black', 'hole', 'with', 'a', 'mass', 'of', '57x103', 'msol']] | [-0.05153594497044521, 0.035988672582399364, -0.11693458412940215, 0.09720971709716, -0.0629439946995782, -0.12026052732835524, 0.01459424156928435, 0.4044644040820588, -0.1356669762587574, -0.40536354387690415, 0.08985730141284876, -0.28433975509168313, -0.012870997857784719, 0.16277607887708914, -0.03405191796576089, 0.002202301310587375, 0.04773199165772114, -0.061501794970744025, -0.10017663006562673, -0.1735992876835683, 0.26083725062198937, 0.09454230170896542, 0.18838903831160028, -0.04990943096267334, 0.08989231589449835, -0.045411724356069626, -0.01924040572235494, 0.06212621414202398, -0.15173027159679414, 0.06442353262017216, 0.18790341451157083, 0.10714367703310147, 0.20315082191622683, -0.33699570677708834, -0.2534977832609521, 0.021835895309257985, 0.1957567283451291, 0.03107252082346739, -0.11559584983790826, -0.2883579639726252, 0.05945575710575213, -0.25776147023342283, -0.25306562054070775, 0.06551013632477927, 0.06058372153867302, 0.06627610162156218, -0.18492145487938874, 0.2157409131676624, -0.013583152864677166, 0.05339284860695313, -0.1555935219605869, -0.13624979884064356, -0.10844733513658866, 0.07726808508284323, -0.0063573732435803065, 0.08391527959195498, 0.20558839003622, -0.11356824436890227, 0.015340587623151285, 0.3462608386429825, -0.08903112274960481, -0.003729000305091696, 0.1850400662349005, -0.23447668537638883, -0.1386877655542256, 0.11213382474462767, 0.15342139251255762, 0.09181080980728698, -0.11909508591218453, 0.09633425795514736, -0.04062245383101981, 0.2673445742860037, 0.08066846950220809, 0.010697511058034641, 0.382182251795062, 0.10530307622060978, 0.02388235713130728, 0.08805842961217943, -0.27971266528558253, -0.05914281466643193, -0.22457762744826532, -0.06341514599625953, -0.11988579725480772, 0.06435597941994534, -0.18563154177588462, -0.12165197527169117, 0.3179761566238345, 0.006354824012825182, 0.2617343197946736, 0.0660517135048784, 0.2908063002396375, 0.07495710466589246, 0.13887944894460297, 0.11479401360598526, 0.307391852323365, 0.20803811846417375, 0.08329408220431235, -0.22493505482686618, 0.004821037973410317, -0.0010368935098605497] |
709.012 | Pointed and copointed Hopf algebras as cocycle deformations | We show that all finite dimensional pointed Hopf algebras with the same
diagram in the classification scheme of Andruskiewitsch and Schneider are
cocycle deformations of each other. This is done by giving first a suitable
characterization of such Hopf algebras, which allows for the application of a
result of Masuoka about Morita-Takeuchi equivalence and of Schauenburg about
Hopf Galois extensions. The "infinitesimal" part of the deforming cocycle and
of the deformation determine the deformed multiplication and can be described
explicitly in terms of Hochschild cohomology. Applications to, and results for
copointed Hopf algebras are also considered.
| math.RA math.QA | we show that all finite dimensional pointed hopf algebras with the same diagram in the classification scheme of andruskiewitsch and schneider are cocycle deformations of each other this is done by giving first a suitable characterization of such hopf algebras which allows for the application of a result of masuoka about moritatakeuchi equivalence and of schauenburg about hopf galois extensions the infinitesimal part of the deforming cocycle and of the deformation determine the deformed multiplication and can be described explicitly in terms of hochschild cohomology applications to and results for copointed hopf algebras are also considered | [['we', 'show', 'that', 'all', 'finite', 'dimensional', 'pointed', 'hopf', 'algebras', 'with', 'the', 'same', 'diagram', 'in', 'the', 'classification', 'scheme', 'of', 'andruskiewitsch', 'and', 'schneider', 'are', 'cocycle', 'deformations', 'of', 'each', 'other', 'this', 'is', 'done', 'by', 'giving', 'first', 'a', 'suitable', 'characterization', 'of', 'such', 'hopf', 'algebras', 'which', 'allows', 'for', 'the', 'application', 'of', 'a', 'result', 'of', 'masuoka', 'about', 'moritatakeuchi', 'equivalence', 'and', 'of', 'schauenburg', 'about', 'hopf', 'galois', 'extensions', 'the', 'infinitesimal', 'part', 'of', 'the', 'deforming', 'cocycle', 'and', 'of', 'the', 'deformation', 'determine', 'the', 'deformed', 'multiplication', 'and', 'can', 'be', 'described', 'explicitly', 'in', 'terms', 'of', 'hochschild', 'cohomology', 'applications', 'to', 'and', 'results', 'for', 'copointed', 'hopf', 'algebras', 'are', 'also', 'considered']] | [-0.17424321512226015, 0.06440418392594438, -0.07267443329328671, 0.06448686067597009, -0.11899567433768728, -0.13612616244548312, -0.04142536172245551, 0.32247869406516355, -0.3670455641501273, -0.22044365212544412, 0.15433113259738698, -0.18461957181959102, -0.2006831144365909, 0.23026155235129409, -0.1525791551442429, -0.015785273285776686, 0.06096736223844346, 0.12162584402540233, -0.12627717551610354, -0.28563510803117725, 0.4090444471997519, 0.0053963959677882185, 0.19361316944802334, 0.04752037204646816, 0.10178702425522108, 0.04016988721681022, -0.06189101642515501, 0.010935504372658519, -0.1676604160387948, 0.10089836296780656, 0.32610450133991736, 0.01625450176167457, 0.176022508678822, -0.313154997866756, -0.10174330074611741, 0.1175178203532899, 0.1491618909446212, 0.07415111359659932, -0.001498265841898198, -0.3318731864177001, 0.11210575531003997, -0.26958450351412466, -0.11941664757553856, -0.14049380974514256, 0.06600546791863356, 0.017886967165395617, -0.22850889444331793, 0.026050479779163044, 0.12648742419939177, 0.15428299256018363, -0.1238539142220058, -0.0639898786272776, -0.1184927451540716, 0.13532522367313504, -0.022472584370310262, -0.017845114166751348, 0.12230329310599093, -0.08065135674989203, -0.178702424128763, 0.36814213678007945, 0.003943045497483884, -0.19425011459679808, 0.11994453042279929, -0.1571107024307518, -0.19613079014622295, 0.10524517459513542, 0.007086686149705201, 0.13593495164938454, -0.03739483318834876, 0.17200749037336513, -0.07292938202347916, 0.002328006812604144, 0.12711246691954634, -0.0244532001039867, 0.10712537940404825, 0.09707677216404893, 0.04708740775822662, 0.15282967397736988, 0.03985969820738925, -0.05827510802919278, -0.3658609212337372, -0.19213170350606865, -0.05745242684618764, 0.11351546011186049, -0.0935472227615719, -0.16110307563091433, 0.4329203598597739, 0.11018481691705044, 0.18615018708563488, 0.07537460895279462, 0.19203677455273768, 0.0664298107221839, 0.1259153442515526, 0.0035261575098199196, 0.1852439335004116, 0.2767891771242527, 0.010614049053401686, -0.12174345255334629, -0.0697792902016469, 0.23587003479284854] |
709.0121 | Introduction to shape stability for a storage model | We consider a new idea for a storage model on n nodes, namely stability of
shape. These nodes support K neighborhoods S_i \subset {1, ..., n} and items
arrive at the S_i as independent Poisson streams with rates lambda_i, i=1,
...,K. Upon arrival at S_i an item is stored at node j \in S_i where j is
determined by some policy. Under natural conditions on the lambda_i we exhibit
simple local policies such that the multidimensional process describing the
evolution of the number of items at each node is positive recurrent (stable) in
shape.
| math.PR | we consider a new idea for a storage model on n nodes namely stability of shape these nodes support k neighborhoods s_i subset 1 n and items arrive at the s_i as independent poisson streams with rates lambda_i i1 k upon arrival at s_i an item is stored at node j in s_i where j is determined by some policy under natural conditions on the lambda_i we exhibit simple local policies such that the multidimensional process describing the evolution of the number of items at each node is positive recurrent stable in shape | [['we', 'consider', 'a', 'new', 'idea', 'for', 'a', 'storage', 'model', 'on', 'n', 'nodes', 'namely', 'stability', 'of', 'shape', 'these', 'nodes', 'support', 'k', 'neighborhoods', 's_i', 'subset', '1', 'n', 'and', 'items', 'arrive', 'at', 'the', 's_i', 'as', 'independent', 'poisson', 'streams', 'with', 'rates', 'lambda_i', 'i1', 'k', 'upon', 'arrival', 'at', 's_i', 'an', 'item', 'is', 'stored', 'at', 'node', 'j', 'in', 's_i', 'where', 'j', 'is', 'determined', 'by', 'some', 'policy', 'under', 'natural', 'conditions', 'on', 'the', 'lambda_i', 'we', 'exhibit', 'simple', 'local', 'policies', 'such', 'that', 'the', 'multidimensional', 'process', 'describing', 'the', 'evolution', 'of', 'the', 'number', 'of', 'items', 'at', 'each', 'node', 'is', 'positive', 'recurrent', 'stable', 'in', 'shape']] | [-0.18198798933336813, 0.16352260502957194, 0.024222525097029185, -0.02589518454990094, -0.038234631194212346, -0.22008498815158684, 0.12454916075152415, 0.3936607146495453, -0.3210958220385095, -0.2298297291040741, 0.03821176494195868, -0.3409838033239207, -0.06917562454398121, 0.08212550207521886, -0.02686506292972994, -0.008233489920585466, 0.018310117800669965, 0.16289565130387262, 0.033729717778843094, -0.29583793137753284, 0.32837521299839983, 0.023513006537111216, 0.24215092615947947, -0.039622620872837765, 0.1273545367913621, 0.03944141215955218, -0.02162933609478416, -0.015094001176616838, -0.17887148514719522, 0.044537402058561, 0.2748066196618702, 0.15546138135781098, 0.30156742425395117, -0.419654636193187, -0.1518139202267893, 0.12554580823428207, 0.11221775832155378, 0.0045468062763252565, 0.015387476106444675, -0.2270162421984658, 0.14928593900885873, -0.14645604910429127, -0.10931015845328089, 0.002626588447920738, 0.10245681624178604, 0.06834206537854287, -0.3624555937224819, -0.009822719214704408, 0.04964493024813872, 0.052346851121852056, -0.036528231860864506, -0.19813805226717265, -0.01989255321302241, 0.09953428763816113, 0.009121580745070992, 0.027487019596431125, 0.12892271796621943, -0.08799005132318745, -0.10113170436553416, 0.35036687944484973, -0.010163701760272184, -0.20136816672303573, 0.13248582448189458, -0.10004396761156699, -0.18569856716860686, 0.10665657639663706, 0.1752374950816394, 0.11582228363121069, -0.11036205918137584, 0.11117749603562838, -0.10600659282757871, 0.10187466341441356, 0.1048556578355611, 0.03590211922663354, 0.20052439230744556, 0.11563174645867079, 0.1429511702529365, 0.07065135602068195, -0.04546914192577524, -0.06768241969828484, -0.3347794258746729, -0.09499531470599674, -0.2668474918451681, 0.0741158698269877, -0.17469443346768673, -0.10063742746108321, 0.3420742679467445, 0.1029214509011757, 0.3085782111031554, 0.06871344278296156, 0.20850680134589633, 0.08801099922763364, -0.0065976394921220755, 0.1780026612442828, 0.028472481537372453, 0.037713511769349374, 0.08424723571947505, -0.1722893719110758, 0.1421740500166291, 0.09071498844392037] |
709.0122 | Towards Low Cost Coupling Structures for Short-Distance Optical
Interconnections | The performance of short distance optical interconnections in general relies
very strongly on coupling structures, since they will determine the overall
efficiency of the system to a large extent. Different configurations can be
considered and a variety of manufacturing technologies can be used. We present
two different discrete and two different integrated coupling components which
can be used to deflect the light beam over 90 degrees and can play a crucial
role when integrating optical interconnections in printed circuit boards. The
fabrication process of the different coupling structures is discussed and
experimental results are shown. The main characteristics of the coupling
structures are given. The main advantages and disadvantages of the different
components are discussed.
| physics.optics | the performance of short distance optical interconnections in general relies very strongly on coupling structures since they will determine the overall efficiency of the system to a large extent different configurations can be considered and a variety of manufacturing technologies can be used we present two different discrete and two different integrated coupling components which can be used to deflect the light beam over 90 degrees and can play a crucial role when integrating optical interconnections in printed circuit boards the fabrication process of the different coupling structures is discussed and experimental results are shown the main characteristics of the coupling structures are given the main advantages and disadvantages of the different components are discussed | [['the', 'performance', 'of', 'short', 'distance', 'optical', 'interconnections', 'in', 'general', 'relies', 'very', 'strongly', 'on', 'coupling', 'structures', 'since', 'they', 'will', 'determine', 'the', 'overall', 'efficiency', 'of', 'the', 'system', 'to', 'a', 'large', 'extent', 'different', 'configurations', 'can', 'be', 'considered', 'and', 'a', 'variety', 'of', 'manufacturing', 'technologies', 'can', 'be', 'used', 'we', 'present', 'two', 'different', 'discrete', 'and', 'two', 'different', 'integrated', 'coupling', 'components', 'which', 'can', 'be', 'used', 'to', 'deflect', 'the', 'light', 'beam', 'over', '90', 'degrees', 'and', 'can', 'play', 'a', 'crucial', 'role', 'when', 'integrating', 'optical', 'interconnections', 'in', 'printed', 'circuit', 'boards', 'the', 'fabrication', 'process', 'of', 'the', 'different', 'coupling', 'structures', 'is', 'discussed', 'and', 'experimental', 'results', 'are', 'shown', 'the', 'main', 'characteristics', 'of', 'the', 'coupling', 'structures', 'are', 'given', 'the', 'main', 'advantages', 'and', 'disadvantages', 'of', 'the', 'different', 'components', 'are', 'discussed']] | [-0.1708298325933435, 0.147741973347476, -0.05003706783501674, 0.03794257214817069, -0.062260880620907184, -0.131920646685783, -0.038307002119962935, 0.429273433788963, -0.2772106059057557, -0.3224347842047396, 0.11573823896317702, -0.23213302975763445, -0.14284641694520478, 0.25704340214800575, -0.047551625051900095, 0.034390420883731995, 0.06325171464730216, -0.04444911636452636, -0.0333944360492751, -0.25610122426372506, 0.29493889406161466, 0.044434689171612266, 0.33979066740721464, 0.0938783531765575, 0.09164435077134682, -0.03453683330596465, -0.018472052576101343, 0.039056957259004856, -0.05212729584587657, 0.1398428418106683, 0.2677088463355018, 0.09112028760592575, 0.22658692885028278, -0.4485678438988069, -0.1731907286559758, 0.06350460344844538, 0.1654457435619248, 0.07486900312765299, -0.031322505030497584, -0.2494925924617311, 0.06707513418615513, -0.1368815342976671, -0.10286672061471187, -0.05525721703534541, -0.006629613600671292, 0.09728600215976653, -0.21537671951303744, -0.0371924692724386, 0.017218022234737874, 0.023024496640605123, -0.020095671531136918, -0.15947847025590423, -0.026499860232655444, 0.1994105812761953, -0.016518743334429178, -0.0472632227698341, 0.15694558499785868, -0.10904035494946267, -0.1105092149146873, 0.3961007019099982, -0.032670365543226186, -0.21506947457142497, 0.24342562571653853, -0.08432530931237599, -0.07734345707070568, 0.10746068517960931, 0.21354369021466243, 0.06348081514158327, -0.17218971802187455, 0.019951097150434458, 0.0554259698190119, 0.17414352930677326, 0.05956296853964096, 0.09620924924307948, 0.23761934035700624, 0.19372701513904916, -0.004561899684536594, 0.15104482423250928, -0.08110016789591021, -0.0993275866276868, -0.285306371776792, -0.12953247863637365, -0.11994952095024612, 0.032160487591096645, -0.1064958149479935, -0.10440013343139308, 0.4457582880459402, 0.1627790896181503, 0.1755311505180662, -0.040852902616050256, 0.290438809780323, 0.10177495190468819, 0.10346726061695295, 0.01122784807306269, 0.30600567219839636, 0.13177366983145475, 0.07072065057455683, -0.19037333457406772, 0.07308346157812554, -0.021967208221473772] |
709.0123 | Fluctuation of the initial condition from Glauber models | We analyze measures of the azimuthal asymmetry, in particular the participant
harmonic moments, epsilon*, in a variety of Glauber-like models for the early
stage of collisions at RHIC. Quantitative comparisons indicate substantial
model dependence for epsilon*, reflecting different effective number of
sources, while the dependence of the scaled standard deviation
sigma(epsilon*)/epsilon* on the particular Glauber model is weak. For all the
considered models the values of sigma(epsilon*)/epsilon* range from ~0.5 for
the central collisions to ~0.3-0.4 for peripheral collisions. These values,
dominated by statistics, change only by 10-15% from model to model. For central
collisions and in the absence of correlations between the location of sources
we obtain through the use of the central limit theorem the simple analytic
formula sigma(epsilon*)/epsilon*(b=0) ~ \sqrt{4/pi-1} ~ 0.52$, independent on
the collision energy, mass number, or the number of sources. We investigate the
shape-fluctuation effects for jet quenching and find they are important only
for very central events. Finally, we list some remarks and predictions from
smooth hydrodynamics on higher flow coefficients and their fluctuations, in
particular sigma(v_4)/v_4=2 sigma(v_2)/v_2.
| nucl-th nucl-ex | we analyze measures of the azimuthal asymmetry in particular the participant harmonic moments epsilon in a variety of glauberlike models for the early stage of collisions at rhic quantitative comparisons indicate substantial model dependence for epsilon reflecting different effective number of sources while the dependence of the scaled standard deviation sigmaepsilonepsilon on the particular glauber model is weak for all the considered models the values of sigmaepsilonepsilon range from 05 for the central collisions to 0304 for peripheral collisions these values dominated by statistics change only by 1015 from model to model for central collisions and in the absence of correlations between the location of sources we obtain through the use of the central limit theorem the simple analytic formula sigmaepsilonepsilonb0 sqrt4pi1 052 independent on the collision energy mass number or the number of sources we investigate the shapefluctuation effects for jet quenching and find they are important only for very central events finally we list some remarks and predictions from smooth hydrodynamics on higher flow coefficients and their fluctuations in particular sigmav_4v_42 sigmav_2v_2 | [['we', 'analyze', 'measures', 'of', 'the', 'azimuthal', 'asymmetry', 'in', 'particular', 'the', 'participant', 'harmonic', 'moments', 'epsilon', 'in', 'a', 'variety', 'of', 'glauberlike', 'models', 'for', 'the', 'early', 'stage', 'of', 'collisions', 'at', 'rhic', 'quantitative', 'comparisons', 'indicate', 'substantial', 'model', 'dependence', 'for', 'epsilon', 'reflecting', 'different', 'effective', 'number', 'of', 'sources', 'while', 'the', 'dependence', 'of', 'the', 'scaled', 'standard', 'deviation', 'sigmaepsilonepsilon', 'on', 'the', 'particular', 'glauber', 'model', 'is', 'weak', 'for', 'all', 'the', 'considered', 'models', 'the', 'values', 'of', 'sigmaepsilonepsilon', 'range', 'from', '05', 'for', 'the', 'central', 'collisions', 'to', '0304', 'for', 'peripheral', 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709.0124 | High Rate Single-Symbol ML Decodable Precoded DSTBCs for Cooperative
Networks | Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full
diversity order and single-symbol ML decodability have been introduced recently
by Yi and Kim for cooperative networks and an upperbound on the maximal rate of
such codes along with code constructions has been presented. In this paper, we
introduce a new class of Distributed STBCs called Semi-orthogonal Precoded
Distributed Single-Symbol Decodable STBCs (S-PDSSDC) wherein, the source
performs co-ordinate interleaving of information symbols appropriately before
transmitting it to all the relays. It is shown that DOSTBCs are a special case
of S-PDSSDCs. A special class of S-PDSSDCs having diagonal covariance matrix at
the destination is studied and an upperbound on the maximal rate of such codes
is derived. The bounds obtained are approximately twice larger than that of the
DOSTBCs. A systematic construction of S-PDSSDCs is presented when the number of
relays $K \geq 4$. The constructed codes are shown to achieve the upperbound on
the rate when $K$ is of the form 0 or 3 modulo 4. For the rest of the values of
$K$, the constructed codes are shown to have rates higher than that of DOSTBCs.
It is shown that S-PDSSDCs cannot be constructed with any form of linear
processing at the relays when the source doesn't perform co-ordinate
interleaving of the information symbols. Simulation result shows that S-PDSSDCs
have better probability of error performance than that of DOSTBCs.
| cs.IT math.IT | distributed orthogonal spacetime block codes dostbcs achieving full diversity order and singlesymbol ml decodability have been introduced recently by yi and kim for cooperative networks and an upperbound on the maximal rate of such codes along with code constructions has been presented in this paper we introduce a new class of distributed stbcs called semiorthogonal precoded distributed singlesymbol decodable stbcs spdssdc wherein the source performs coordinate interleaving of information symbols appropriately before transmitting it to all the relays it is shown that dostbcs are a special case of spdssdcs a special class of spdssdcs having diagonal covariance matrix at the destination is studied and an upperbound on the maximal rate of such codes is derived the bounds obtained are approximately twice larger than that of the dostbcs a systematic construction of spdssdcs is presented when the number of relays k geq 4 the constructed codes are shown to achieve the upperbound on the rate when k is of the form 0 or 3 modulo 4 for the rest of the values of k the constructed codes are shown to have rates higher than that of dostbcs it is shown that spdssdcs cannot be constructed with any form of linear processing at the relays when the source doesnt perform coordinate interleaving of the information symbols simulation result shows that spdssdcs have better probability of error performance than that of dostbcs | [['distributed', 'orthogonal', 'spacetime', 'block', 'codes', 'dostbcs', 'achieving', 'full', 'diversity', 'order', 'and', 'singlesymbol', 'ml', 'decodability', 'have', 'been', 'introduced', 'recently', 'by', 'yi', 'and', 'kim', 'for', 'cooperative', 'networks', 'and', 'an', 'upperbound', 'on', 'the', 'maximal', 'rate', 'of', 'such', 'codes', 'along', 'with', 'code', 'constructions', 'has', 'been', 'presented', 'in', 'this', 'paper', 'we', 'introduce', 'a', 'new', 'class', 'of', 'distributed', 'stbcs', 'called', 'semiorthogonal', 'precoded', 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709.0125 | Differential and graphical approaches to multistability theory for
chemical reaction networks | The use of mathematical models has helped to shed light on countless
phenomena in chemistry and biology. Often, though, one finds that systems of
interest in these fields are dauntingly complex. In this paper, we attempt to
synthesize and expand upon the body of mathematical results pertaining to the
theory of multiple equilibria in chemical reaction networks (CRNs), which has
yielded surprising insights with minimal computational effort. Our central
focus is a recent, cycle-based theorem by Gheorghe Craciun and Martin Feinberg,
which is of significant interest in its own right and also serves, in a
somewhat restated form, as the basis for a number of fruitful connections among
related results.
| q-bio.MN q-bio.QM | the use of mathematical models has helped to shed light on countless phenomena in chemistry and biology often though one finds that systems of interest in these fields are dauntingly complex in this paper we attempt to synthesize and expand upon the body of mathematical results pertaining to the theory of multiple equilibria in chemical reaction networks crns which has yielded surprising insights with minimal computational effort our central focus is a recent cyclebased theorem by gheorghe craciun and martin feinberg which is of significant interest in its own right and also serves in a somewhat restated form as the basis for a number of fruitful connections among related results | [['the', 'use', 'of', 'mathematical', 'models', 'has', 'helped', 'to', 'shed', 'light', 'on', 'countless', 'phenomena', 'in', 'chemistry', 'and', 'biology', 'often', 'though', 'one', 'finds', 'that', 'systems', 'of', 'interest', 'in', 'these', 'fields', 'are', 'dauntingly', 'complex', 'in', 'this', 'paper', 'we', 'attempt', 'to', 'synthesize', 'and', 'expand', 'upon', 'the', 'body', 'of', 'mathematical', 'results', 'pertaining', 'to', 'the', 'theory', 'of', 'multiple', 'equilibria', 'in', 'chemical', 'reaction', 'networks', 'crns', 'which', 'has', 'yielded', 'surprising', 'insights', 'with', 'minimal', 'computational', 'effort', 'our', 'central', 'focus', 'is', 'a', 'recent', 'cyclebased', 'theorem', 'by', 'gheorghe', 'craciun', 'and', 'martin', 'feinberg', 'which', 'is', 'of', 'significant', 'interest', 'in', 'its', 'own', 'right', 'and', 'also', 'serves', 'in', 'a', 'somewhat', 'restated', 'form', 'as', 'the', 'basis', 'for', 'a', 'number', 'of', 'fruitful', 'connections', 'among', 'related', 'results']] | [-0.07056065424080563, 0.052585066894257286, -0.11892317175900419, 0.029200902137127834, -0.10640956365734065, -0.13612039432510598, 0.08101224373393787, 0.3229573801065872, -0.23725314046162257, -0.3156361039898811, 0.08523817907232757, -0.25788098649728464, -0.22556376429872776, 0.23043193391720773, -0.13285726761040084, 0.04225280927761176, 0.03820008767550862, 0.03655922153127303, 0.0016054592518255524, -0.23668725762319742, 0.29870604359707154, 0.055415588439604556, 0.23555987527585426, 0.09864077471412126, 0.042553884046656346, -0.037834595850403975, -0.06632692851297078, 0.005303658433942073, -0.11192559529718817, 0.19215879233024263, 0.3007025984771736, 0.17018423827339407, 0.31131617478821255, -0.471214147916901, -0.254406596318212, 0.09541543117519297, 0.1312783528439735, 0.11966150770724299, -0.09437918468750159, -0.2259217041818032, 0.03761600391136123, -0.13927625376227046, -0.13995963311914372, -0.09166280340847618, 0.05726060293050944, 0.030611724097179164, -0.20026294289823246, 0.019798643829102347, 0.06980531841597665, 0.06831530079997461, -0.03559034799840814, -0.1625245150388005, 0.0029623021388751106, 0.15226619082733717, 0.0755558243371683, 0.041616136730710525, 0.07728994529215841, -0.13890060600226556, -0.1428614842508911, 0.4035555734000075, -0.0018057422883330134, -0.18997707863876578, 0.2626766385510564, -0.11021227081554062, -0.2146460313623378, 0.10405712974590993, 0.17621329683092757, 0.09671554169532151, -0.15274013825713598, 0.09786068125832997, -0.06190446311385807, 0.11643979897500452, 0.06732447767937812, 0.03961621961821247, 0.2079962275307113, 0.18248651744883268, 0.024547902286189412, 0.10785455089233337, 0.017633648044557883, -0.154108916981778, -0.21218954102155418, -0.155991227148152, -0.14616294516626438, 0.058927459563390315, -0.03263820672713203, -0.1284368428991202, 0.4112534558789275, 0.17242439223214165, 0.1771893261348692, 0.006178288165172306, 0.2383828010119566, 0.04825250937287277, 0.0489221763574954, 0.024771717086502717, 0.24031587375259592, 0.176165653514428, 0.14082957954154512, -0.15608168031951977, 0.08736769954990083, 0.025849684558108176] |
709.0126 | Rapidity-dependent chemical potentials in a statistical approach | We present a single-freeze-out model with thermal and geometric parameters
dependent on the position within the fireball and use it to describe the
rapidity and transverse-momentum spectra of pions, kaons, protons, and
antiprotons measured at RHIC at 200 GeV} by BRAHMS. THERMINATOR is used to
perform the necessary simulation, which includes all resonance decays. The
result of the fit to the data is the expected growth of the baryon and strange
chemical potentials with the spatial rapidity\alpha_\parallel. The value of the
baryon chemical potential at \alpha_\parallel ~ 3 is about 200 MeV, i.e. lies
in the range of the highest SPS energies. The chosen geometry of the fireball
has a decreasing transverse size as the magnitude of \alpha_\parallel is
increased, which also corresponds to decreasing transverse flow. The strange
chemical potential obtained from the fit to the K+/K- ratio is such that the
local strangeness density in the fireball is compatible with zero. The
resulting rapidity spectra of net protons are described qualitatively within
the statistical approach. As a result of our study, the knowledge of the
``topography'' of the fireball is acquired, allowing for other analyses and
predictions.
| nucl-th nucl-ex | we present a singlefreezeout model with thermal and geometric parameters dependent on the position within the fireball and use it to describe the rapidity and transversemomentum spectra of pions kaons protons and antiprotons measured at rhic at 200 gev by brahms therminator is used to perform the necessary simulation which includes all resonance decays the result of the fit to the data is the expected growth of the baryon and strange chemical potentials with the spatial rapidityalpha_parallel the value of the baryon chemical potential at alpha_parallel 3 is about 200 mev ie lies in the range of the highest sps energies the chosen geometry of the fireball has a decreasing transverse size as the magnitude of alpha_parallel is increased which also corresponds to decreasing transverse flow the strange chemical potential obtained from the fit to the kk ratio is such that the local strangeness density in the fireball is compatible with zero the resulting rapidity spectra of net protons are described qualitatively within the statistical approach as a result of our study the knowledge of the topography of the fireball is acquired allowing for other analyses and predictions | [['we', 'present', 'a', 'singlefreezeout', 'model', 'with', 'thermal', 'and', 'geometric', 'parameters', 'dependent', 'on', 'the', 'position', 'within', 'the', 'fireball', 'and', 'use', 'it', 'to', 'describe', 'the', 'rapidity', 'and', 'transversemomentum', 'spectra', 'of', 'pions', 'kaons', 'protons', 'and', 'antiprotons', 'measured', 'at', 'rhic', 'at', '200', 'gev', 'by', 'brahms', 'therminator', 'is', 'used', 'to', 'perform', 'the', 'necessary', 'simulation', 'which', 'includes', 'all', 'resonance', 'decays', 'the', 'result', 'of', 'the', 'fit', 'to', 'the', 'data', 'is', 'the', 'expected', 'growth', 'of', 'the', 'baryon', 'and', 'strange', 'chemical', 'potentials', 'with', 'the', 'spatial', 'rapidityalpha_parallel', 'the', 'value', 'of', 'the', 'baryon', 'chemical', 'potential', 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709.0127 | Effective Pruefer Angles and Relative Oscillation Criteria | We present a streamlined approach to relative oscillation criteria based on
effective Pruefer angles adapted to the use at the edges of the essential
spectrum.
Based on this we provided a new scale of oscillation criteria for general
Sturm-Liouville operators which answer the question whether a perturbation
inserts a finite or an infinite number of eigenvalues into an essential
spectral gap. As a special case we recover the Gesztesy-Uenal criterion (which
works below the spectrum and contains classical criteria by Kneser, Hartman,
Hille, and Weber) and the well-known results by Rofe-Beketov including the
extensions by Schmidt.
| math.SP math-ph math.MP | we present a streamlined approach to relative oscillation criteria based on effective pruefer angles adapted to the use at the edges of the essential spectrum based on this we provided a new scale of oscillation criteria for general sturmliouville operators which answer the question whether a perturbation inserts a finite or an infinite number of eigenvalues into an essential spectral gap as a special case we recover the gesztesyuenal criterion which works below the spectrum and contains classical criteria by kneser hartman hille and weber and the wellknown results by rofebeketov including the extensions by schmidt | [['we', 'present', 'a', 'streamlined', 'approach', 'to', 'relative', 'oscillation', 'criteria', 'based', 'on', 'effective', 'pruefer', 'angles', 'adapted', 'to', 'the', 'use', 'at', 'the', 'edges', 'of', 'the', 'essential', 'spectrum', 'based', 'on', 'this', 'we', 'provided', 'a', 'new', 'scale', 'of', 'oscillation', 'criteria', 'for', 'general', 'sturmliouville', 'operators', 'which', 'answer', 'the', 'question', 'whether', 'a', 'perturbation', 'inserts', 'a', 'finite', 'or', 'an', 'infinite', 'number', 'of', 'eigenvalues', 'into', 'an', 'essential', 'spectral', 'gap', 'as', 'a', 'special', 'case', 'we', 'recover', 'the', 'gesztesyuenal', 'criterion', 'which', 'works', 'below', 'the', 'spectrum', 'and', 'contains', 'classical', 'criteria', 'by', 'kneser', 'hartman', 'hille', 'and', 'weber', 'and', 'the', 'wellknown', 'results', 'by', 'rofebeketov', 'including', 'the', 'extensions', 'by', 'schmidt']] | [-0.08598240478796527, 0.08320294544589954, -0.10285236902548585, 0.10847436696008601, -0.09039515851590624, -0.13475175030242176, 0.07633236702036192, 0.2806163016667074, -0.21760525855612248, -0.29477105648355917, 0.1317331072975921, -0.2475720897460594, -0.1536357318313713, 0.2036232376406762, -0.08882486904436286, 0.05355890834347365, 0.044961523651046324, 0.05617607150851016, -0.03652315392119295, -0.2186277594152303, 0.37380285149420356, 0.06348668924096892, 0.24472643608138203, 0.08536404109203276, 0.07756809621764175, 0.06222089678247241, -0.0467807060860573, 0.0319420484469292, -0.20546645119271062, 0.10112438825494115, 0.2226069322291841, 0.10986909654704814, 0.27563054670896775, -0.3625058863272375, -0.17130409249728742, 0.09233355659872611, 0.1258770794350099, 0.09572142210759302, -0.022302828340275967, -0.29434772974940293, 0.07553312598549305, -0.13317358872526266, -0.1531492996752817, -0.04876695015031765, 0.03050172055125276, -0.008537640352981126, -0.2874318851663315, 0.04710041110724597, 0.10620569232939507, 0.06004761101955429, -0.05707398784208171, -0.11553678873980894, 0.026028290423323112, 0.09251442102051557, -0.011012226503777476, -0.04635520131163735, 0.04681622930257482, -0.0762714362115614, -0.12528573569068882, 0.3571459745908988, -0.0819321017702447, -0.1861034468351368, 0.15321829230920908, -0.08483763784913227, -0.10517486077832415, 0.08072090570126324, 0.11824365874673141, 0.14072786561371955, -0.08494892445927922, 0.09495196368934171, -0.08854058109461627, 0.1523222598306676, 0.11259916253348297, 0.020667004937112845, 0.15528132970088182, 0.1015355725638925, 0.1190001314624827, 0.13473542281575104, -0.028536117386736688, -0.027466983509626477, -0.32626105244940223, -0.10785233922936815, -0.19571891701978414, 0.04918698506910314, -0.058310893631293784, -0.19895338079337269, 0.4624655267738916, 0.1178261671095165, 0.21146181303799708, 0.04785237174253277, 0.2789117324715876, 0.12043311926808724, 0.06698313966769498, 0.06341143685703889, 0.18146229584879697, 0.18382330330712918, 0.07270961316262788, -0.19032326300053837, -0.026846953531469594, 0.15610501005195399] |
709.0128 | A Universal Operator Theoretic Framework for Quantum Fault Tolerance | In this paper we introduce a universal operator theoretic framework for
quantum fault tolerance. This incorporates a top-down approach that implements
a system-level criterion based on specification of the full system dynamics,
applied at every level of error correction concatenation. This leads to more
accurate determinations of error thresholds than could previously be obtained.
This is demonstrated both formally and with an explicit numerical example. The
basis for our approach is the Quantum Computer Condition (QCC), an inequality
governing the evolution of a quantum computer. We show that all known coding
schemes are actually special cases of the QCC. We demonstrate this by
introducing a new, operator theoretic form of entanglement assisted quantum
error correction, which incorporates as special cases all known error
correcting protocols, and is itself a special case of the QCC.
| quant-ph | in this paper we introduce a universal operator theoretic framework for quantum fault tolerance this incorporates a topdown approach that implements a systemlevel criterion based on specification of the full system dynamics applied at every level of error correction concatenation this leads to more accurate determinations of error thresholds than could previously be obtained this is demonstrated both formally and with an explicit numerical example the basis for our approach is the quantum computer condition qcc an inequality governing the evolution of a quantum computer we show that all known coding schemes are actually special cases of the qcc we demonstrate this by introducing a new operator theoretic form of entanglement assisted quantum error correction which incorporates as special cases all known error correcting protocols and is itself a special case of the qcc | [['in', 'this', 'paper', 'we', 'introduce', 'a', 'universal', 'operator', 'theoretic', 'framework', 'for', 'quantum', 'fault', 'tolerance', 'this', 'incorporates', 'a', 'topdown', 'approach', 'that', 'implements', 'a', 'systemlevel', 'criterion', 'based', 'on', 'specification', 'of', 'the', 'full', 'system', 'dynamics', 'applied', 'at', 'every', 'level', 'of', 'error', 'correction', 'concatenation', 'this', 'leads', 'to', 'more', 'accurate', 'determinations', 'of', 'error', 'thresholds', 'than', 'could', 'previously', 'be', 'obtained', 'this', 'is', 'demonstrated', 'both', 'formally', 'and', 'with', 'an', 'explicit', 'numerical', 'example', 'the', 'basis', 'for', 'our', 'approach', 'is', 'the', 'quantum', 'computer', 'condition', 'qcc', 'an', 'inequality', 'governing', 'the', 'evolution', 'of', 'a', 'quantum', 'computer', 'we', 'show', 'that', 'all', 'known', 'coding', 'schemes', 'are', 'actually', 'special', 'cases', 'of', 'the', 'qcc', 'we', 'demonstrate', 'this', 'by', 'introducing', 'a', 'new', 'operator', 'theoretic', 'form', 'of', 'entanglement', 'assisted', 'quantum', 'error', 'correction', 'which', 'incorporates', 'as', 'special', 'cases', 'all', 'known', 'error', 'correcting', 'protocols', 'and', 'is', 'itself', 'a', 'special', 'case', 'of', 'the', 'qcc']] | [-0.13543821980658946, 0.041314170451065065, -0.10753370762573305, 0.09046584879805737, -0.026467271789008363, -0.20631691925366646, 0.054470434338340895, 0.3263869586942801, -0.2435661615150522, -0.2552306264527698, 0.08414128907076987, -0.1962926612120928, -0.22598751580843063, 0.24792478340608415, -0.12550750312937506, 0.109844338836899, 0.07654156683891605, 0.052868747817866726, -0.0929553665241588, -0.25008427303235753, 0.303253543021074, 0.08447907070816953, 0.27887652080450487, 0.06272760995510798, 0.11915099789702756, 0.01640522663669188, 0.006262503150822734, 0.018129069599818824, -0.14055777396435534, 0.12973660207006024, 0.235884683766166, 0.1445012347620248, 0.30147840368992357, -0.3752662550487274, -0.2340136642425335, 0.06451813290208411, 0.14329541816181546, 0.2036541892092244, -0.05279038913181806, -0.2759373857615404, 0.08496041561879997, -0.21319607048948755, -0.08034097821514274, -0.0926416749516919, -0.035586176433169574, -0.05288138157173769, -0.3095791014258875, 0.07048028222730023, 0.0865829439326398, 0.08227807628129845, -0.00019037225909197507, -0.077307820386156, 0.06099161600047694, 0.13390306557125564, -0.052700279195403765, 0.026735101459216006, 0.11277367276401926, -0.08907384168853594, -0.16847218516970805, 0.3737855456602662, 0.004098834792554288, -0.23101618521110112, 0.11610292209791881, -0.05059915659045661, -0.1529280411447885, 0.0666647873247223, 0.12321673170142154, 0.123417687925524, -0.151210755728352, 0.0947393349001754, -0.03811188483152038, 0.18795560168296988, 0.0334814275274359, 0.07705672786209676, 0.12024583838490853, 0.1514635646173647, 0.07107652620752967, 0.1756771360098301, -0.0382793217518631, -0.144710345659405, -0.38217753672332905, -0.1828719458633768, -0.1635808828929717, 0.053212658033025134, -0.08925162135374058, -0.17917473598751726, 0.368982508630881, 0.1542585574120019, 0.11949539346161729, 0.08354587736278911, 0.33456684330672914, 0.16516254372623707, 0.06937274117189557, 0.09276131697436933, 0.21539351125525782, 0.12290471465736906, 0.03230618043288366, -0.20891169908651108, 0.08664462744578053, 0.10397241604792427] |
709.0129 | Numerical analysis of a nonlocal parabolic problem resulting from
thermistor problem | We analyze the spatially semidiscrete piecewise linear finite element method
for a nonlocal parabolic equation resulting from thermistor problem. Our
approach is based on the properties of the elliptic projection defined by the
bilinear form associated with the variational formulation of the finite element
method. We assume minimal regularity of the exact solution that yields optimal
order error estimate. The full discrete backward Euler method and the
Crank-Nicolson-Galerkin scheme are also considered. Finally, a simple algorithm
for solving the fully discrete problem is proposed.
| math.AP math.NA | we analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem our approach is based on the properties of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite element method we assume minimal regularity of the exact solution that yields optimal order error estimate the full discrete backward euler method and the cranknicolsongalerkin scheme are also considered finally a simple algorithm for solving the fully discrete problem is proposed | [['we', 'analyze', 'the', 'spatially', 'semidiscrete', 'piecewise', 'linear', 'finite', 'element', 'method', 'for', 'a', 'nonlocal', 'parabolic', 'equation', 'resulting', 'from', 'thermistor', 'problem', 'our', 'approach', 'is', 'based', 'on', 'the', 'properties', 'of', 'the', 'elliptic', 'projection', 'defined', 'by', 'the', 'bilinear', 'form', 'associated', 'with', 'the', 'variational', 'formulation', 'of', 'the', 'finite', 'element', 'method', 'we', 'assume', 'minimal', 'regularity', 'of', 'the', 'exact', 'solution', 'that', 'yields', 'optimal', 'order', 'error', 'estimate', 'the', 'full', 'discrete', 'backward', 'euler', 'method', 'and', 'the', 'cranknicolsongalerkin', 'scheme', 'are', 'also', 'considered', 'finally', 'a', 'simple', 'algorithm', 'for', 'solving', 'the', 'fully', 'discrete', 'problem', 'is', 'proposed']] | [-0.07504834576199453, -0.006873598222487739, -0.11195229313203267, 0.06133439823974013, -0.10507428681566602, -0.14312473202257284, 0.00747535905490319, 0.35490537449784043, -0.35818569475252715, -0.2178666380766247, 0.1340389337634579, -0.23330790085795647, -0.15266122610011648, 0.2012037214423929, -0.03803470418400442, 0.1579759798921822, 0.08426367416922446, 0.02167486302399387, -0.12822329719451123, -0.2255672208931563, 0.3433313426073818, -0.05852281688047307, 0.27762674549151034, 0.02018759355303787, 0.22365680155676923, -0.01843555202885043, -0.06083105007253055, 0.04169922114288922, -0.12638781990045528, 0.14572416443843395, 0.2175008797064601, 0.043680462176867184, 0.30534667927505715, -0.4011666791934875, -0.21562602303345643, 0.1081322588115221, 0.11806893542165026, 0.13459594283042298, -0.06655282140681743, -0.2692002019667554, 0.13857666565482282, -0.15315486147024093, -0.17132231486140795, -0.04584045032970607, -0.06430748467045348, 0.05127502725060497, -0.32428216229059864, 0.12535126671060598, 0.058167820408319436, 0.012962447479367256, -0.12080868552549787, -0.08668152857959892, 0.003754113513943074, 0.036380117354426714, -0.029998961525658768, -0.013847391952627472, -0.0093254701600277, -0.02997714544402524, -0.08159332726305972, 0.380978051694997, -0.10159753403734482, -0.341184447763399, 0.08748549123542727, -0.05409319498687096, -0.07630989584972017, 0.1601097445236519, 0.18059150699991733, 0.21658034961936729, -0.1475023212094259, 0.15321224247634832, -0.10589367402939215, 0.12954719859131036, -0.0026535292300173922, -0.028166433230840733, 0.02731610234921044, 0.1608880500647328, 0.15369990356599114, 0.1205253682537226, -0.043441267086087636, -0.15433880405145742, -0.3659217788704804, -0.15034090146738371, -0.1776032049563669, 0.005366885136546833, -0.12055360029123785, -0.21166599980954612, 0.39249374107276663, 0.11284476996765339, 0.11438103821793837, 0.10712996229440683, 0.2940938666329852, 0.234029833777597, -0.01529407105408609, 0.10608442606497279, 0.16544445061923138, 0.16656018150526852, 0.05273334555871164, -0.312361819888576, 0.0440022204101773, 0.25982437436912387] |
709.013 | Magic wavelengths for the np-ns transitions in alkali-metal atoms | Extensive calculations of the electric-dipole matrix elements in alkali-metal
atoms are conducted using the relativistic all-order method. This approach is a
linearized version of the coupled-cluster method, which sums infinite sets of
many-body perturbation theory terms. All allowed transitions between the lowest
ns, np_1/2, np_3/2 states and a large number of excited states are considered
in these calculations and their accuracy is evaluated. The resulting
electric-dipole matrix elements are used for the high-precision calculation of
frequency-dependent polarizabilities of the excited states of alkali-metal
atoms. We find magic wavelengths in alkali-metal atoms for which the ns and
np_1/2 and np_3/2 atomic levels have the same ac Stark shifts, which
facilitates state-insensitive optical cooling and trapping.
| physics.atom-ph | extensive calculations of the electricdipole matrix elements in alkalimetal atoms are conducted using the relativistic allorder method this approach is a linearized version of the coupledcluster method which sums infinite sets of manybody perturbation theory terms all allowed transitions between the lowest ns np_12 np_32 states and a large number of excited states are considered in these calculations and their accuracy is evaluated the resulting electricdipole matrix elements are used for the highprecision calculation of frequencydependent polarizabilities of the excited states of alkalimetal atoms we find magic wavelengths in alkalimetal atoms for which the ns and np_12 and np_32 atomic levels have the same ac stark shifts which facilitates stateinsensitive optical cooling and trapping | [['extensive', 'calculations', 'of', 'the', 'electricdipole', 'matrix', 'elements', 'in', 'alkalimetal', 'atoms', 'are', 'conducted', 'using', 'the', 'relativistic', 'allorder', 'method', 'this', 'approach', 'is', 'a', 'linearized', 'version', 'of', 'the', 'coupledcluster', 'method', 'which', 'sums', 'infinite', 'sets', 'of', 'manybody', 'perturbation', 'theory', 'terms', 'all', 'allowed', 'transitions', 'between', 'the', 'lowest', 'ns', 'np_12', 'np_32', 'states', 'and', 'a', 'large', 'number', 'of', 'excited', 'states', 'are', 'considered', 'in', 'these', 'calculations', 'and', 'their', 'accuracy', 'is', 'evaluated', 'the', 'resulting', 'electricdipole', 'matrix', 'elements', 'are', 'used', 'for', 'the', 'highprecision', 'calculation', 'of', 'frequencydependent', 'polarizabilities', 'of', 'the', 'excited', 'states', 'of', 'alkalimetal', 'atoms', 'we', 'find', 'magic', 'wavelengths', 'in', 'alkalimetal', 'atoms', 'for', 'which', 'the', 'ns', 'and', 'np_12', 'and', 'np_32', 'atomic', 'levels', 'have', 'the', 'same', 'ac', 'stark', 'shifts', 'which', 'facilitates', 'stateinsensitive', 'optical', 'cooling', 'and', 'trapping']] | [-0.11577737469046392, 0.2370035464940756, -0.0006538260250205272, 0.02322579126727457, 0.08073980875493011, -0.10946481518055264, 0.1036852751889168, 0.40300660554254264, -0.17297965698270945, -0.2797367438273668, -0.03003885501713835, -0.32824300762200564, -0.05599629346755121, 0.13101304272238753, 0.1225927983157402, 0.08379421568590037, 0.08976300930391931, -0.005233608687647798, -0.09905615088676936, -0.18483616686589494, 0.2588451016375697, 0.0315970033979076, 0.23327496517122837, 0.08539667243971244, 0.04508177874805896, -0.013608174533338138, 0.0597968607969386, -0.04499623150025543, -0.06966177537105978, 0.18224215579041475, 0.2854181362311928, 0.023274749119177852, 0.21559109715663158, -0.47178540114117296, -0.13188704866262382, 0.057315235299858866, 0.13253895557289452, 0.23658847620224646, -0.012157532357888525, -0.32787983866996673, -0.03124830481727003, -0.1903178814079678, -0.12023031298610333, -0.16853653620356662, 0.030116097511429536, 0.05871989845968129, -0.2935818730722786, 0.04707112640403865, -0.01938813072302493, 0.08807415633935689, -0.11596444640880484, -0.195387225822758, 0.026994725374766347, 0.06628028011325289, -0.0320525817662935, -0.03528954675053492, 0.14828447748400403, -0.05719968370108849, -0.10093385056723236, 0.40801822186627407, -0.08662014115262744, -0.10386308261373065, 0.1252024207558287, -0.15772198861170755, -0.10979553146630917, 0.17798698733135926, 0.11627091494952574, 0.18874918760552087, -0.07785588739799303, 0.10120761914642348, -0.023918449049488755, 0.19645280708771265, 0.12705785670856895, 0.10863146716279484, 0.1627877574217947, 0.07225437623677416, -0.028072737114454963, 0.10910444324345965, -0.11834708681297407, -0.1004079613291348, -0.2594070430812344, -0.11419784347935204, -0.19586690864423617, 0.018115381309925987, -0.04678428348645531, -0.17620470882148334, 0.3720694987446462, 0.09319410517427809, 0.10704556339534751, -0.04407978202155056, 0.274785466557532, 0.15228437106206752, 0.046872075371395205, 0.01999997131510131, 0.2914196946494804, 0.24852114631549307, 0.01908125592346646, -0.34868433544404087, -0.0030476401862279887, 0.09869558943370194] |
709.0131 | How cold is cold dark matter? Small scales constraints from the flux
power spectrum of the high-redshift Lyman-alpha forest | We present constraints on the mass of warm dark matter (WDM) particles
derived from the Lyman-alpha flux power spectrum of 55 high- resolution HIRES
spectra at 2.0 < z < 6.4. From the HIRES spectra, we obtain a lower limit of
mwdm > 1.2 keV 2 sigma if the WDM consists of early decoupled thermal relics
and mwdm > 5.6 keV (2 sigma) for sterile neutrinos. Adding the Sloan Digital
Sky Survey Lyman-alpha flux power spectrum, we get mwdm > 4 keV and mwdm > 28
keV (2 sigma) for thermal relics and sterile neutrinos. These results improve
previous constraints by a factor two.
| astro-ph hep-th | we present constraints on the mass of warm dark matter wdm particles derived from the lymanalpha flux power spectrum of 55 high resolution hires spectra at 20 z 64 from the hires spectra we obtain a lower limit of mwdm 12 kev 2 sigma if the wdm consists of early decoupled thermal relics and mwdm 56 kev 2 sigma for sterile neutrinos adding the sloan digital sky survey lymanalpha flux power spectrum we get mwdm 4 kev and mwdm 28 kev 2 sigma for thermal relics and sterile neutrinos these results improve previous constraints by a factor two | [['we', 'present', 'constraints', 'on', 'the', 'mass', 'of', 'warm', 'dark', 'matter', 'wdm', 'particles', 'derived', 'from', 'the', 'lymanalpha', 'flux', 'power', 'spectrum', 'of', '55', 'high', 'resolution', 'hires', 'spectra', 'at', '20', 'z', '64', 'from', 'the', 'hires', 'spectra', 'we', 'obtain', 'a', 'lower', 'limit', 'of', 'mwdm', '12', 'kev', '2', 'sigma', 'if', 'the', 'wdm', 'consists', 'of', 'early', 'decoupled', 'thermal', 'relics', 'and', 'mwdm', '56', 'kev', '2', 'sigma', 'for', 'sterile', 'neutrinos', 'adding', 'the', 'sloan', 'digital', 'sky', 'survey', 'lymanalpha', 'flux', 'power', 'spectrum', 'we', 'get', 'mwdm', '4', 'kev', 'and', 'mwdm', '28', 'kev', '2', 'sigma', 'for', 'thermal', 'relics', 'and', 'sterile', 'neutrinos', 'these', 'results', 'improve', 'previous', 'constraints', 'by', 'a', 'factor', 'two']] | [-0.05002580326506678, 0.20832113357621948, 0.002903533467490758, 0.12088889125924633, -0.05783179301616489, -0.13324447039381734, 0.05085332781713152, 0.3395223688638332, -0.13373393411002696, -0.4483647231506754, 0.035960089134964714, -0.3989251337717382, 0.09781361420695879, 0.17343779861670444, 0.060863194678320874, -0.039894938635240705, -0.0002347959308856528, -0.10330584111423897, -0.009035025466689649, -0.2828336879052697, 0.21615503334478303, 0.13549167279876312, 0.15520351214633724, 0.008516676728708707, 0.0943367405015291, -0.07494342932952758, -0.12560167682490178, -0.0932170228880583, -0.1568686310677048, 0.009140808638945525, 0.19030868894971756, 0.1234815831804572, 0.1073022745573437, -0.3375100087545508, -0.208838417726968, 0.17131530605636688, 0.21390277679477418, -0.04175581388669659, -0.02147327418253776, -0.26943315708610627, 0.11305051376777035, -0.222460791231038, -0.12949456611401117, 0.10262462142759896, -0.043096844693740866, -0.04155491644573607, -0.19784753181382406, 0.189404590128997, -0.03545820484013886, 0.038973423695115715, -0.09852255157632184, -0.23727336323496942, -0.018935549320006857, -0.0191639651572902, -0.02262908577614901, -0.055726829939997016, 0.20206457501448385, -0.13991610875011098, -0.045639600446780344, 0.40361382312388444, -0.1460709446299897, 0.06273005703198058, 0.10767405951272088, -0.17347160387042987, -0.20764336413323728, 0.25063989250754404, 0.10815256957572941, 0.006641654402245672, -0.14254186491538978, 0.10822152187964613, -0.053258152792648394, 0.34427959790776425, 0.09343041018677914, 0.05126887329911091, 0.3105840878121612, 0.11338735080552192, 0.09019795560506078, -0.014299077407114816, -0.24114391135707575, 0.0978454736023381, -0.28046378943765043, -0.048928743375617326, -0.07894020900130272, 0.1506510496386612, -0.14325539274951943, -0.03229041783405202, 0.3798692362116916, 0.0806235806465301, 0.21619359504583538, 0.10417129461444458, 0.3325278285358633, 0.09678399337607684, -0.04150571154278456, 0.08756392369550482, 0.33359471056610346, 0.18772902897777682, 0.16789148237119067, -0.16404944999922752, -0.19812535733573747, -0.01111324893890367] |
709.0132 | On the index of the Heegner subgroup of elliptic curves | Let E be an elliptic curve of conductor N and rank one over Q. So there is a
non-constant morphism X+0(N) --> E defined over Q, where X+0(N) = X0(N)/wN and
wN is the Fricke involution of the modular curve X+0(N). Under this morphism
the traces of the Heegner points of X+0(N) map to rational points on E. In this
paper we study the index I of the subgroup generated by all these traces on
E(Q). We propose and also discuss a conjecture that says that if N is prime and
I > 1, then either the number of connected components of the real locus
X+0(N)(R) is greater than 1 or (less likely) the order S of the Tate-Safarevich
group is non-trivial. This conjecture is backed by computations performed on
each E that satisfies the above hypothesis in the range N < 129999. This paper
was prepared for the proceedings of the Conference on Algorithmic Number
Theory, Turku, May 8-11, 2007. We tried to make the paper as self contained as
possible.
| math.NT math.AG | let e be an elliptic curve of conductor n and rank one over q so there is a nonconstant morphism x0n e defined over q where x0n x0nwn and wn is the fricke involution of the modular curve x0n under this morphism the traces of the heegner points of x0n map to rational points on e in this paper we study the index i of the subgroup generated by all these traces on eq we propose and also discuss a conjecture that says that if n is prime and i 1 then either the number of connected components of the real locus x0nr is greater than 1 or less likely the order s of the tatesafarevich group is nontrivial this conjecture is backed by computations performed on each e that satisfies the above hypothesis in the range n 129999 this paper was prepared for the proceedings of the conference on algorithmic number theory turku may 811 2007 we tried to make the paper as self contained as possible | [['let', 'e', 'be', 'an', 'elliptic', 'curve', 'of', 'conductor', 'n', 'and', 'rank', 'one', 'over', 'q', 'so', 'there', 'is', 'a', 'nonconstant', 'morphism', 'x0n', 'e', 'defined', 'over', 'q', 'where', 'x0n', 'x0nwn', 'and', 'wn', 'is', 'the', 'fricke', 'involution', 'of', 'the', 'modular', 'curve', 'x0n', 'under', 'this', 'morphism', 'the', 'traces', 'of', 'the', 'heegner', 'points', 'of', 'x0n', 'map', 'to', 'rational', 'points', 'on', 'e', 'in', 'this', 'paper', 'we', 'study', 'the', 'index', 'i', 'of', 'the', 'subgroup', 'generated', 'by', 'all', 'these', 'traces', 'on', 'eq', 'we', 'propose', 'and', 'also', 'discuss', 'a', 'conjecture', 'that', 'says', 'that', 'if', 'n', 'is', 'prime', 'and', 'i', '1', 'then', 'either', 'the', 'number', 'of', 'connected', 'components', 'of', 'the', 'real', 'locus', 'x0nr', 'is', 'greater', 'than', '1', 'or', 'less', 'likely', 'the', 'order', 's', 'of', 'the', 'tatesafarevich', 'group', 'is', 'nontrivial', 'this', 'conjecture', 'is', 'backed', 'by', 'computations', 'performed', 'on', 'each', 'e', 'that', 'satisfies', 'the', 'above', 'hypothesis', 'in', 'the', 'range', 'n', '129999', 'this', 'paper', 'was', 'prepared', 'for', 'the', 'proceedings', 'of', 'the', 'conference', 'on', 'algorithmic', 'number', 'theory', 'turku', 'may', '811', '2007', 'we', 'tried', 'to', 'make', 'the', 'paper', 'as', 'self', 'contained', 'as', 'possible']] | [-0.20147962806030836, 0.09113311016779158, -0.09526428076007017, -0.010223780081482468, -0.042837725415621405, -0.13816449232399464, 0.04028224447747783, 0.31725190031745404, -0.27674003667766, -0.26606064364200505, 0.07509961455532281, -0.3021146728935447, -0.13501327182734157, 0.21337795991694736, -0.11983267476259754, -0.032623829253347274, 0.021378065732012435, 0.1010648066933244, -0.02787394077189142, -0.3238225230100996, 0.3867116448307614, -0.010272631149103002, 0.19666025507485313, 0.05197874775756912, 0.08080719398595847, 0.011817740074858614, -0.014754444461531664, -0.016169837251498658, -0.1311005123360945, 0.12418743031008578, 0.2557980470677338, 0.12001749948121426, 0.23145368769651326, -0.3741134299737651, -0.1334215762099342, 0.21817490877299683, 0.12387425314334062, -0.0516582221053995, 0.024690256896996644, -0.18548398322380352, 0.17314342476950004, -0.16305402652701226, -0.14508990973529473, -0.024155167083358166, 0.10959467193943721, -0.0067978623768928026, -0.24424679769435897, -0.02565928220499744, 0.10004776138414788, 0.13779653201061415, -0.022227344097478723, -0.13298985332807117, -0.045162202256572685, 0.046703588630629296, 0.021477490054433186, 0.09319047122290812, 0.06595056382484915, -0.0786750466994396, -0.09513176691139162, 0.37698232251639685, -0.05051575239618925, -0.1435136065716151, 0.12816998575070146, -0.16337413557595004, -0.14063220448996416, 0.1002134985983281, 0.11897713060365854, 0.14304611993482955, -0.040913414364828295, 0.16293115881356843, -0.11769623627883337, 0.15379788428573393, 0.1090149812985257, -0.08325329204743001, 0.1527758675092184, 0.07669023302860739, 0.04630679332912245, 0.09650736112394598, -0.0447714664041996, 0.005787300791736215, -0.3831440703545856, -0.17912840278728343, -0.16814581051585265, 0.13892940047804675, -0.056776337765324744, -0.12722971357643695, 0.38653705908530733, 0.10865037349725665, 0.20711567563220587, 0.05707069103344821, 0.22363609194233106, 0.10486909517700352, 0.013551320609488956, 0.09718866186307334, 0.13387242470663496, 0.12958215072285384, -0.0047256653040942806, -0.1404895030882028, 0.027315162213110342, 0.11299995120853276] |
709.0133 | Temperature-dependent Raman scattering of natural and isotopically
substituted PbS | Lead sulfide is an important semiconductor that has found technological
applications for over a century. Raman spectroscopy, a standard tool for the
investigation and characterization of semiconductors, has limited application
to this material because of the forbidden nature of its first order scattering
and its opacity to visible lasers. Nevertheless, useful vibrational spectra
from two-phonon processes are obtained with red lasers, probably because of a
resonance in the concomitant electronic transitions. Here we report temperature
dependent spectra, covering the 10-300 K range, for two samples with different
sulfur isotopic compositions. The results are analyzed by comparison with ab
initio calculations of the lattice dynamics of PbS and the corresponding
densities of one and two-phonon states. Emphasis is placed on the analysis of
the two phonon band centered at ~430 cm-1.
| cond-mat.mtrl-sci cond-mat.dis-nn | lead sulfide is an important semiconductor that has found technological applications for over a century raman spectroscopy a standard tool for the investigation and characterization of semiconductors has limited application to this material because of the forbidden nature of its first order scattering and its opacity to visible lasers nevertheless useful vibrational spectra from twophonon processes are obtained with red lasers probably because of a resonance in the concomitant electronic transitions here we report temperature dependent spectra covering the 10300 k range for two samples with different sulfur isotopic compositions the results are analyzed by comparison with ab initio calculations of the lattice dynamics of pbs and the corresponding densities of one and twophonon states emphasis is placed on the analysis of the two phonon band centered at 430 cm1 | [['lead', 'sulfide', 'is', 'an', 'important', 'semiconductor', 'that', 'has', 'found', 'technological', 'applications', 'for', 'over', 'a', 'century', 'raman', 'spectroscopy', 'a', 'standard', 'tool', 'for', 'the', 'investigation', 'and', 'characterization', 'of', 'semiconductors', 'has', 'limited', 'application', 'to', 'this', 'material', 'because', 'of', 'the', 'forbidden', 'nature', 'of', 'its', 'first', 'order', 'scattering', 'and', 'its', 'opacity', 'to', 'visible', 'lasers', 'nevertheless', 'useful', 'vibrational', 'spectra', 'from', 'twophonon', 'processes', 'are', 'obtained', 'with', 'red', 'lasers', 'probably', 'because', 'of', 'a', 'resonance', 'in', 'the', 'concomitant', 'electronic', 'transitions', 'here', 'we', 'report', 'temperature', 'dependent', 'spectra', 'covering', 'the', '10300', 'k', 'range', 'for', 'two', 'samples', 'with', 'different', 'sulfur', 'isotopic', 'compositions', 'the', 'results', 'are', 'analyzed', 'by', 'comparison', 'with', 'ab', 'initio', 'calculations', 'of', 'the', 'lattice', 'dynamics', 'of', 'pbs', 'and', 'the', 'corresponding', 'densities', 'of', 'one', 'and', 'twophonon', 'states', 'emphasis', 'is', 'placed', 'on', 'the', 'analysis', 'of', 'the', 'two', 'phonon', 'band', 'centered', 'at', '430', 'cm1']] | [-0.08216718980469383, 0.16334187747885992, -0.05747008392085823, -0.011138191040999328, -0.011215503062479771, -0.10947978228975375, 0.08554549997564978, 0.4511434961396914, -0.225608240856001, -0.2846865092475827, 0.06070814260478633, -0.33252840175006826, -0.08198578413575888, 0.2214166601242211, 0.04975988883883334, 0.021075487544294447, 0.04957259028720168, -0.036753182851064665, -0.04236097836222213, -0.14787608452069645, 0.2688461052916514, 0.05182855763257696, 0.26624550368063726, 0.09758239006802727, 0.025924183378139367, -0.011923224609255647, 0.015806341862592558, -0.04504066528394245, -0.16854929673835822, 0.12935057580247164, 0.2994243490151488, -0.02830783729799665, 0.2237445312516334, -0.4018912511949356, -0.22038418287411332, 0.023664678257102004, 0.12427687129596822, 0.10382172545919624, -0.06424996633028898, -0.24584454772993922, 0.040518847628174204, -0.09492557587531897, -0.1063275995843399, -0.07403008518382334, 0.029257625746182524, 0.00835096942117581, -0.21741421623871876, 0.04223323174116488, 0.012082239508610934, 0.12193643211318816, -0.10467623583793353, -0.19719623355194926, -0.0618313578208192, 0.07447082955846922, 0.022216617791519427, -0.028312072824113643, 0.15094146651323312, -0.07865384815153308, -0.10066612678078504, 0.4539082981646061, -0.0711684496795687, -0.010275080900352734, 0.2130915648662127, -0.18656067678776497, -0.114665186809949, 0.23341571062516708, 0.10153574183216103, 0.12512003024144527, -0.15416871204685706, 0.07528178165666759, 0.027470757307198185, 0.18226875624117944, 0.08173950757616415, 0.13456120337359606, 0.22080962437813959, 0.19737476113682184, -0.008644497587990302, 0.10491629721632657, -0.12470656086583264, -0.05194223763851019, -0.22166653372204073, -0.1361781537031325, -0.2050535997805687, 0.0677775270314529, -0.04391470517775115, -0.16646989482240035, 0.4025044277847673, 0.10519513553008437, 0.1646911565715877, -0.05162294389536748, 0.2597313691467906, 0.12371669213753193, 0.06587725114793731, -0.02251408026696971, 0.2689528745670731, 0.2204018653782371, 0.0860776027942148, -0.24453325672970655, 0.03990201593305056, -0.054976200581026764] |
709.0134 | Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curve | Let $X$ be an elliptic curve over an algebraically closed field. We prove
that some exact sub-categories of the category of vector bundles over $X$,
defined using Harder-Narasimhan filtrations, have the same K-groups as the
whole category.
| math.KT math.AG | let x be an elliptic curve over an algebraically closed field we prove that some exact subcategories of the category of vector bundles over x defined using hardernarasimhan filtrations have the same kgroups as the whole category | [['let', 'x', 'be', 'an', 'elliptic', 'curve', 'over', 'an', 'algebraically', 'closed', 'field', 'we', 'prove', 'that', 'some', 'exact', 'subcategories', 'of', 'the', 'category', 'of', 'vector', 'bundles', 'over', 'x', 'defined', 'using', 'hardernarasimhan', 'filtrations', 'have', 'the', 'same', 'kgroups', 'as', 'the', 'whole', 'category']] | [-0.23733999625452468, 0.017829904357141286, -0.13781934775839988, 0.04333081700511881, -0.07759472274699726, -0.13178334222804453, -0.08056877407471875, 0.43020798567984553, -0.45351975587372845, -0.11369203947283127, 0.06467457325827028, -0.18508070421631675, -0.041044684869514125, 0.24075656379195484, -0.22105095082440893, -0.10964272840804345, 0.04955250413685634, 0.2037358202568784, -0.09824167787902863, -0.37632341738286856, 0.45394466042115883, -0.10648120341923188, 0.2361706329660641, 0.006038837663426592, 0.13486407974080458, 0.043093335600821556, 0.07370297880088156, 0.02916864272383218, -0.1603313146194056, 0.11621951895791131, 0.3916603516774705, 0.062176575752075865, 0.18923836506626293, -0.351927211212397, -0.1476378272212035, 0.28339108945550145, 0.21576770910886242, -0.09033005156025693, 0.029519864074835502, -0.324617618795585, 0.15036452330044797, -0.2091039541504673, -0.11156385772030901, -0.09216724184492754, 0.11172782633818586, 0.0764263584907796, -0.23417910772400932, -0.11941217600896552, 0.044167824592944736, 0.25454074645263924, -0.1928701112172692, -0.09635194000863545, -0.12173804107147294, 0.04660445882158505, 0.023441454433408136, 0.10788969826456662, 0.11940059915336, -0.08418524476724702, -0.14028240226813266, 0.28747184229762973, -0.13570790297376947, -0.23754064456836596, 0.002226172065412676, -0.12686963714155797, -0.03174270921059557, 0.23360019614542457, 0.02426690507579494, 0.22011760400759206, 0.031071107532526995, 0.25923410198978475, -0.21329594700521715, 0.0541660578770412, 0.06936346996273543, -0.002764366680403819, 0.15241713733789888, 0.057924499584210885, 0.01006500982377376, 0.11454240682950192, -0.017089658643345575, -0.020746996072498528, -0.4063574893249048, -0.24546600969797755, -0.017233580174679693, 0.2531100760994328, -0.16175340194053747, -0.21538955839728383, 0.4180447354510024, 0.07366890795025471, 0.2527434661279659, 0.2096997458940825, 0.18819873462859038, 0.040930665346693144, 0.03949905005661217, 0.07875646527453854, 0.059681893745594586, 0.27013403970144084, -0.08541528219231279, -0.023983557935099344, -0.00994268651246219, 0.2521883590599975] |
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