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711.1208 | Finite dimensional subspaces of noncommutative $L_p$ spaces | We prove the following noncommutative version of Lewis's classical result.
Every n-dimensional subspace E of Lp(M) (1<p<\infty) for a von Neumann algebra
M satisfies d_{cb}(E, RC^n_{p'}) \leq c_p n^{\abs{1/2-1/p}} for some constant
c_p depending only on $p$, where $1/p +1/p' =1$ and $RC^n_{p'} = [R_n\cap C_n,
R_n+C_n]_{1/p'}$. Moreover, there is a projection $P:Lp(M) --> Lp(M)$ onto E
with $\norm{P}_{cb} \leq c_p n^{\abs{1/2-1/p}}.$ We follow the classical change
of density argument with appropriate noncommutative variations in addition to
the opposite trick.
| math.FA math.OA | we prove the following noncommutative version of lewiss classical result every ndimensional subspace e of lpm 1pinfty for a von neumann algebra m satisfies d_cbe rcn_p leq c_p nabs121p for some constant c_p depending only on p where 1p 1p 1 and rcn_p r_ncap c_n r_nc_n_1p moreover there is a projection plpm lpm onto e with normp_cb leq c_p nabs121p we follow the classical change of density argument with appropriate noncommutative variations in addition to the opposite trick | [['we', 'prove', 'the', 'following', 'noncommutative', 'version', 'of', 'lewiss', 'classical', 'result', 'every', 'ndimensional', 'subspace', 'e', 'of', 'lpm', '1pinfty', 'for', 'a', 'von', 'neumann', 'algebra', 'm', 'satisfies', 'd_cbe', 'rcn_p', 'leq', 'c_p', 'nabs121p', 'for', 'some', 'constant', 'c_p', 'depending', 'only', 'on', 'p', 'where', '1p', '1p', '1', 'and', 'rcn_p', 'r_ncap', 'c_n', 'r_nc_n_1p', 'moreover', 'there', 'is', 'a', 'projection', 'plpm', 'lpm', 'onto', 'e', 'with', 'normp_cb', 'leq', 'c_p', 'nabs121p', 'we', 'follow', 'the', 'classical', 'change', 'of', 'density', 'argument', 'with', 'appropriate', 'noncommutative', 'variations', 'in', 'addition', 'to', 'the', 'opposite', 'trick']] | [-0.1547711872347239, 0.155880326891075, -0.08210951006174952, 0.03320797674013707, -0.061925342920627714, -0.2371314951232162, 0.03711140566114066, 0.3179668943478685, -0.33122871933585923, -0.15709033702918584, 0.07051472709534447, -0.31482977619853575, -0.07203570083188622, 0.18283907220482934, -0.13058330914329574, -0.015437865440828213, 0.03832467866764552, 0.13323944639684498, -0.12306972135506246, -0.2418613972587754, 0.34363987372405286, -0.0782578392089277, 0.17320893611758947, 0.0050800452953663425, 0.09352908983313735, 0.08593572116713377, 0.028696629488705726, -0.021727035540844434, -0.28836276294474583, 0.04225142798184053, 0.2072470560366207, 0.09234157751611285, 0.2850830191678867, -0.3475541635260384, -0.14220322130004998, 0.23525856083690905, 0.12594155338255392, -0.05560234090502279, -0.010071960424639932, -0.20651511567901226, 0.1416679739182734, -0.16190770863676848, -0.11715474561450706, -0.0336476294323802, 0.12445224297867305, 0.005074911129971345, -0.34230625117872504, 0.1227615426591449, 0.19171547677799844, 0.046299397513486336, -0.08719932967864409, -0.18609264369487113, -0.02304624699973974, 0.016727084611151098, -0.002038107675405732, 0.14538487366846073, 0.10683320343167102, -0.01764819066485633, -0.1059142354119947, 0.31772412251735077, -0.04514508317832066, -0.20414083356550639, 0.054571388849475676, -0.23762022432587718, -0.18691588176306392, 0.03037918162316192, 0.03524806198960953, 0.12241792255013749, 0.049939911512226084, 0.24874781365624454, -0.10195782478389236, 0.11196688978352408, 0.14790194765057252, -0.0018487953229982784, -0.0013671876336245434, 0.026300195580942258, 0.12359279631704524, 0.08163782124124143, -0.02800864635323903, -0.02343457072055426, -0.3979268435496783, -0.19911081003754036, -0.20394896880210633, 0.21291087257365385, -0.1529545796209646, -0.09704711609452531, 0.24556833978040496, 0.06758186969386441, 0.22520071447597464, 0.05982618167510499, 0.18242173366572545, 0.11611739537962106, -0.01157578639348672, 0.10191012825141998, 0.07896988914032682, 0.20947114563128655, 0.03972780909659206, -0.1962569873928484, 0.0021852489925273085, 0.20070130469452968] |
711.1209 | Thermodynamics on the apparent horizon in generalized gravity theories | We present a general procedure to construct the first law of thermodynamics
on the apparent horizon and illustrate its validity by examining it in some
extended gravity theories. Applying this procedure, we can describe the
thermodynamics on the apparent horizon in Randall-Sundrum braneworld imbedded
in a nontrivial bulk. We discuss the mass-like function which was used to link
Friedmann equation to the first law of thermodynamics and obtain its special
case which gives the generalized Misner-Sharp mass in Lovelock gravity.
| hep-th | we present a general procedure to construct the first law of thermodynamics on the apparent horizon and illustrate its validity by examining it in some extended gravity theories applying this procedure we can describe the thermodynamics on the apparent horizon in randallsundrum braneworld imbedded in a nontrivial bulk we discuss the masslike function which was used to link friedmann equation to the first law of thermodynamics and obtain its special case which gives the generalized misnersharp mass in lovelock gravity | [['we', 'present', 'a', 'general', 'procedure', 'to', 'construct', 'the', 'first', 'law', 'of', 'thermodynamics', 'on', 'the', 'apparent', 'horizon', 'and', 'illustrate', 'its', 'validity', 'by', 'examining', 'it', 'in', 'some', 'extended', 'gravity', 'theories', 'applying', 'this', 'procedure', 'we', 'can', 'describe', 'the', 'thermodynamics', 'on', 'the', 'apparent', 'horizon', 'in', 'randallsundrum', 'braneworld', 'imbedded', 'in', 'a', 'nontrivial', 'bulk', 'we', 'discuss', 'the', 'masslike', 'function', 'which', 'was', 'used', 'to', 'link', 'friedmann', 'equation', 'to', 'the', 'first', 'law', 'of', 'thermodynamics', 'and', 'obtain', 'its', 'special', 'case', 'which', 'gives', 'the', 'generalized', 'misnersharp', 'mass', 'in', 'lovelock', 'gravity']] | [-0.1263077234805678, 0.045185070228762926, -0.14452227510046214, 0.14496207669581054, -0.12419883664697409, -0.1500876523903571, 0.014543041118304244, 0.26567823806544766, -0.2069444904103875, -0.2961671457160264, 0.08298402150394395, -0.2386336476454744, -0.1401631321903551, 0.12808071998879314, -0.11266160830855369, 0.02141960231674602, -0.07638907874934375, 0.04884957252070308, -0.09121324983425438, -0.25813628662144766, 0.3728871146333404, 0.07274671416817, 0.24014040709589607, 0.06976101811160333, 0.13824504317599348, -0.027905873977579175, -0.0025460545293753967, 0.07995672631077469, -0.2403558964258991, 0.06431355739478022, 0.19189382529584692, 0.10370713094016537, 0.18988890500040725, -0.3971159994136542, -0.2482083757444343, 0.06942958660656587, 0.11485636875731871, 0.1660693571990123, -0.04416825131338555, -0.27930485946999395, 0.023388189752586185, -0.23482948730234057, -0.19460232493584045, -0.07068481401074678, -0.006148465082515031, -0.09751862226985394, -0.15611474572506268, 0.13371562790416647, 0.044349161948775875, -0.05539147850358859, -0.11700893165834714, -0.011659858909843024, -0.004889479477424174, 0.05171645123627968, 0.12487693578004837, -0.010748148549464532, 0.10580025597591884, -0.0760766360857815, -0.09686201945878566, 0.40276563316583636, -0.09237805077573284, -0.2314536492107436, 0.11543448389857076, -0.20638903442886658, -0.16016141566215084, 0.014815828292921652, 0.13287020646675957, 0.1732608014755897, -0.1907490790632437, 0.1736099554502289, 0.02332189505104907, 0.11531246411032044, 0.1007404751580907, -0.01640676673487178, 0.27574956787284466, 0.12554480760591105, -0.007079768006224185, 0.23406451349146665, -0.023462870653020218, -0.14869404010241852, -0.42631952427327635, -0.19951065166242188, -0.15863996968691935, 0.07839254645514301, -0.18319168590205664, -0.15996293795760722, 0.3443142298609018, 0.15023864616523497, 0.11337597774108872, 0.08093790007696952, 0.22594475610530934, 0.14826007339870556, 0.0369773386977613, 0.07532362994970754, 0.3234867451672471, 0.15721770435920918, 0.1517494927335065, -0.25075672070961447, -0.03196230014727917, 0.14707407212117687] |
711.121 | Local Equivalence of Rank-Two Quantum Mixed States | We investigate the equivalence of quantum mixed states under local unitary
transformations. For a class of rank-two mixed states, a sufficient and
necessary condition of local equivalence is obtained by giving a complete set
of invariants under local unitary transformations, such that two states in this
class are locally equivalent if and only if all these invariants have equal
values for them.
| quant-ph | we investigate the equivalence of quantum mixed states under local unitary transformations for a class of ranktwo mixed states a sufficient and necessary condition of local equivalence is obtained by giving a complete set of invariants under local unitary transformations such that two states in this class are locally equivalent if and only if all these invariants have equal values for them | [['we', 'investigate', 'the', 'equivalence', 'of', 'quantum', 'mixed', 'states', 'under', 'local', 'unitary', 'transformations', 'for', 'a', 'class', 'of', 'ranktwo', 'mixed', 'states', 'a', 'sufficient', 'and', 'necessary', 'condition', 'of', 'local', 'equivalence', 'is', 'obtained', 'by', 'giving', 'a', 'complete', 'set', 'of', 'invariants', 'under', 'local', 'unitary', 'transformations', 'such', 'that', 'two', 'states', 'in', 'this', 'class', 'are', 'locally', 'equivalent', 'if', 'and', 'only', 'if', 'all', 'these', 'invariants', 'have', 'equal', 'values', 'for', 'them']] | [-0.15393753146993056, 0.21042727545324352, -0.06852004385643429, 0.07146318315438205, 0.008109081724298096, -0.18228522061009803, 0.02658366108493459, 0.3404896526687568, -0.28583357417054717, -0.23906620884043794, 0.11117746354824293, -0.18899136490278667, -0.13573207548489014, 0.156941368590079, -0.04278603599466864, 0.07191151803225136, 0.06729878820178489, 0.06944833740952515, -0.1590788246004752, -0.2910147158188685, 0.4169666810381797, -0.07735251032394327, 0.27732453071662494, -0.0005395436422869323, 0.1329529433729007, 0.008558653648041429, 0.030190021576990765, 0.06604023821531765, -0.1179490135725627, 0.08460505873118827, 0.25324127026983806, 0.11544114140973936, 0.21590930636551592, -0.42293549121748053, -0.1340040195613138, 0.2082141935036728, 0.0060706120359921645, 0.09370929171000758, -0.012357397211505281, -0.30689403610003574, 0.17776414423039363, -0.12292935596234465, -0.11931170194199489, -0.14925693646974622, 0.0629168061329232, -0.025484343404851614, -0.2923650767864479, 0.05224220698038416, 0.10142811369751731, 0.08210272313426098, -0.0893582054188535, -0.0286924586511187, -0.04341220875616155, 0.12472498896832188, -0.06991298784006146, -0.06362161035048625, 0.06833955967768786, -0.1124026924108846, -0.08759444468324223, 0.3743662569491613, -0.04173246783114249, -0.26420489883035303, 0.20637895719658944, -0.07052226754416141, -0.17111772287546867, 0.085895124755259, 0.06688644015981306, 0.15884945775953033, -0.1422809565199479, 0.12419727454975908, -0.11381657742294332, 0.0753360103455282, 0.07588925368092474, 0.1108892829562988, 0.18066233500928408, -0.03575422290352083, 0.16178818739905593, 0.17412762602250423, 0.03826868047725575, -0.08442520827896172, -0.40806511825611513, -0.19193743118986248, -0.12245268424064101, 0.12249701177220672, -0.036673268963744295, -0.14149763306692964, 0.43525426044699644, 0.03990321170779005, 0.17136048509048357, 0.10805479136686172, 0.17466417826231448, 0.10847534304001226, 0.049808147438471354, 0.08797210542064521, 0.1980830836560457, 0.2021050140179033, -0.07902851391343339, -0.17136981408862817, 0.05097283968221276, 0.14005921597051765] |
711.1211 | Differential Geometry of Bipartite Quantum States | We investigate the differential geometry of bipartite quantum states. In
particular the manifold structures of pure bipartite states are studied in
detail. The manifolds with respect to all normalized pure states of arbitrarily
given Schmidt ranks or Schmidt coefficients are explicitly presented. The
dimensions of the related manifolds are calculated.
| quant-ph | we investigate the differential geometry of bipartite quantum states in particular the manifold structures of pure bipartite states are studied in detail the manifolds with respect to all normalized pure states of arbitrarily given schmidt ranks or schmidt coefficients are explicitly presented the dimensions of the related manifolds are calculated | [['we', 'investigate', 'the', 'differential', 'geometry', 'of', 'bipartite', 'quantum', 'states', 'in', 'particular', 'the', 'manifold', 'structures', 'of', 'pure', 'bipartite', 'states', 'are', 'studied', 'in', 'detail', 'the', 'manifolds', 'with', 'respect', 'to', 'all', 'normalized', 'pure', 'states', 'of', 'arbitrarily', 'given', 'schmidt', 'ranks', 'or', 'schmidt', 'coefficients', 'are', 'explicitly', 'presented', 'the', 'dimensions', 'of', 'the', 'related', 'manifolds', 'are', 'calculated']] | [-0.1697505434602499, 0.1939331614971161, -0.028704460188746454, 0.09353627787902952, 0.038486662292853, -0.14715220799669623, -0.06508652369026095, 0.3319924372434616, -0.21639591194689273, -0.2597872101853136, 0.11664909530896693, -0.30479394298046825, -0.13491454927716404, 0.11352783888112754, -0.0822493716806639, 0.1142062899377197, 0.06297653099521995, 0.07301262851804495, -0.09062426403164864, -0.3125087920203805, 0.4609571763500571, -0.020421243582386523, 0.29082296416163445, 0.01740845961496234, 0.07622249249368906, -0.017280641708057373, -0.04757875774055719, 0.07829910033382476, -0.1712158847786486, 0.13442113965633326, 0.31180082134902476, 0.05367785016074777, 0.12151267796754837, -0.40258469358086585, -0.14033840510994197, 0.11797825019806624, 0.03236433426849544, 0.10997892193496227, 0.05456210135482251, -0.29871056385338307, 0.03839256816543639, -0.12432690469548106, -0.18290684789419173, -0.12302811685949563, 0.03430390018969774, -0.014674011617898941, -0.2027089608460665, 0.057577916886657476, 0.034270845204591754, 0.05043468710035086, -0.04816402102820575, -0.15968111358582973, -0.10055454883724452, 0.15246252211276443, -0.07366369204595685, -0.0918910522107035, 0.07951164797879756, -0.11600098340539261, -0.19381004119408318, 0.34352071437984705, -0.04388067085295916, -0.2815699801594019, 0.1590329209086485, -0.18207790840417146, -0.12035599489696323, 0.0805907166004181, 0.1528246823232621, 0.17260755496099592, -0.059691745415329935, 0.13459114834666253, -0.071908437917009, 0.10006338471081108, 0.12450929422862828, 0.0954239758104086, 0.10103947505354881, -0.0018131596269086003, 0.07065950565971434, 0.21528373882174492, -0.003428333019837737, -0.16974802903831004, -0.2865418054535985, -0.18338680677115918, -0.23451153098838404, 0.09599111739546061, -0.0847542366757989, -0.151109716296196, 0.4214864709228277, -0.04558487738482654, 0.1980800406076014, 0.021705123810097576, 0.17508083317428827, 0.12035445455461741, -0.0023311972431838512, 0.11250565455295146, 0.2403525808081031, 0.26428078692406415, 0.019286177372559905, -0.19941379848867655, 0.013639474771916866, 0.06316738310270012] |
711.1212 | Johnson-Cousins magnitudes of comparison stars in the fields of ten
Seyfert galaxies | We present UBVRcIc magnitudes of 49 comparison stars in the fields of the
Seyfert galaxies Mrk 335, Mrk 79, Mrk 279, Mrk 506, 3C 382, 3C 390.3, NGC 6814,
Mrk 304, Ark 564, and NGC 7469 in order to facilitate the photometric
monitoring of these objects; 36 of the stars have not been calibrated before.
The comparison stars are situated in 5x5 arcmin fields centred on the Seyfert
galaxies, their V band flux ranges from 11.7 to 18.2 mag with a median value of
16.3 mag, and their B-V colour index ranges from 0.4 to 1.6 mag with a median
value of 0.8 mag. The median errors of the calibrated UBVRcIc magnitudes are
0.08, 0.04, 0.03, 0.04, and 0.06 mag, respectively. Comparison stars were
calibrated for the first time in three of the fields (Mrk 506, 3C 382, and Mrk
304). The comparison sequences in the other fields were improved in various
aspects. Extra stars were calibrated in four fields (Mrk 335, Mrk 79, NGC 6814,
and NGC 7469) - most of these stars are fainter and are situated closer to the
Seyfert galaxies compared to the existing comparison stars. The passband
coverage of the sequences in five fields (Mrk 335, Mrk 79, Mrk 279, NGC 6814,
and Ark 564) was complemented with U band.
| astro-ph | we present ubvrcic magnitudes of 49 comparison stars in the fields of the seyfert galaxies mrk 335 mrk 79 mrk 279 mrk 506 3c 382 3c 3903 ngc 6814 mrk 304 ark 564 and ngc 7469 in order to facilitate the photometric monitoring of these objects 36 of the stars have not been calibrated before the comparison stars are situated in 5x5 arcmin fields centred on the seyfert galaxies their v band flux ranges from 117 to 182 mag with a median value of 163 mag and their bv colour index ranges from 04 to 16 mag with a median value of 08 mag the median errors of the calibrated ubvrcic magnitudes are 008 004 003 004 and 006 mag respectively comparison stars were calibrated for the first time in three of the fields mrk 506 3c 382 and mrk 304 the comparison sequences in the other fields were improved in various aspects extra stars were calibrated in four fields mrk 335 mrk 79 ngc 6814 and ngc 7469 most of these stars are fainter and are situated closer to the seyfert galaxies compared to the existing comparison stars the passband coverage of the sequences in five fields mrk 335 mrk 79 mrk 279 ngc 6814 and ark 564 was complemented with u band | [['we', 'present', 'ubvrcic', 'magnitudes', 'of', '49', 'comparison', 'stars', 'in', 'the', 'fields', 'of', 'the', 'seyfert', 'galaxies', 'mrk', '335', 'mrk', '79', 'mrk', '279', 'mrk', '506', '3c', '382', '3c', '3903', 'ngc', '6814', 'mrk', '304', 'ark', '564', 'and', 'ngc', '7469', 'in', 'order', 'to', 'facilitate', 'the', 'photometric', 'monitoring', 'of', 'these', 'objects', '36', 'of', 'the', 'stars', 'have', 'not', 'been', 'calibrated', 'before', 'the', 'comparison', 'stars', 'are', 'situated', 'in', '5x5', 'arcmin', 'fields', 'centred', 'on', 'the', 'seyfert', 'galaxies', 'their', 'v', 'band', 'flux', 'ranges', 'from', '117', 'to', '182', 'mag', 'with', 'a', 'median', 'value', 'of', '163', 'mag', 'and', 'their', 'bv', 'colour', 'index', 'ranges', 'from', '04', 'to', '16', 'mag', 'with', 'a', 'median', 'value', 'of', '08', 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711.1213 | Invariant Linearization Criteria for Systems of Cubically Semi-Linear
Second-Order Ordinary Differential Equations | Invariant linearization criteria of square systems of second-order
quadratically semi-linear ordinary differential equations (ODEs) that can be
represented as geodesic equations are extended to square systems of ODEs
cubically nonlinear in the first derivatives. It is shown that there are two
branches for the linearization problem via point transformations for an
arbitrary system of second-order ODEs. One is when the system is at most cubic
in the first derivatives. We solve this branch of the linearization problem by
point transformations in the case of a square sytem of two second-order ODEs.
Necessary and sufficient conditions for linearization by means of point
transformations are given in terms of coefficient functions of the system of
two second-order ODEs cubically nonlinear in the first derivatives. A
consequence of our geometric approach of projection is a re-derivation of Lie's
conditions for a single second-order ODE and sheds light on more recent results
on them. In particular, we show here how one can construct point
transformations for reduction to the simplest linear equation by going to the
higher space and just utilising the coefficients of the original ODE. We also
obtain invariant criteria for the reduction of a linear square system to the
simplest system. Moreover, these results contain the quadratic case as a
special case. Examples are given to illustrate our results.
| math.CA | invariant linearization criteria of square systems of secondorder quadratically semilinear ordinary differential equations odes that can be represented as geodesic equations are extended to square systems of odes cubically nonlinear in the first derivatives it is shown that there are two branches for the linearization problem via point transformations for an arbitrary system of secondorder odes one is when the system is at most cubic in the first derivatives we solve this branch of the linearization problem by point transformations in the case of a square sytem of two secondorder odes necessary and sufficient conditions for linearization by means of point transformations are given in terms of coefficient functions of the system of two secondorder odes cubically nonlinear in the first derivatives a consequence of our geometric approach of projection is a rederivation of lies conditions for a single secondorder ode and sheds light on more recent results on them in particular we show here how one can construct point transformations for reduction to the simplest linear equation by going to the higher space and just utilising the coefficients of the original ode we also obtain invariant criteria for the reduction of a linear square system to the simplest system moreover these results contain the quadratic case as a special case examples are given to illustrate our results | [['invariant', 'linearization', 'criteria', 'of', 'square', 'systems', 'of', 'secondorder', 'quadratically', 'semilinear', 'ordinary', 'differential', 'equations', 'odes', 'that', 'can', 'be', 'represented', 'as', 'geodesic', 'equations', 'are', 'extended', 'to', 'square', 'systems', 'of', 'odes', 'cubically', 'nonlinear', 'in', 'the', 'first', 'derivatives', 'it', 'is', 'shown', 'that', 'there', 'are', 'two', 'branches', 'for', 'the', 'linearization', 'problem', 'via', 'point', 'transformations', 'for', 'an', 'arbitrary', 'system', 'of', 'secondorder', 'odes', 'one', 'is', 'when', 'the', 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711.1214 | Linearizability Criteria for a Class of Third Order Semi-Linear ODEs | Using geometric methods for linearizing systems of second order cubically
semi-linear ordinary differential equations, we extend to the third order by
differentiating the second order equation. This yields criteria for
linearizability of a class of third order semi-linear ordinary differential
equations, which is distinct from the classes available in the literature. Some
examples are given and discussed.
| math.CA | using geometric methods for linearizing systems of second order cubically semilinear ordinary differential equations we extend to the third order by differentiating the second order equation this yields criteria for linearizability of a class of third order semilinear ordinary differential equations which is distinct from the classes available in the literature some examples are given and discussed | [['using', 'geometric', 'methods', 'for', 'linearizing', 'systems', 'of', 'second', 'order', 'cubically', 'semilinear', 'ordinary', 'differential', 'equations', 'we', 'extend', 'to', 'the', 'third', 'order', 'by', 'differentiating', 'the', 'second', 'order', 'equation', 'this', 'yields', 'criteria', 'for', 'linearizability', 'of', 'a', 'class', 'of', 'third', 'order', 'semilinear', 'ordinary', 'differential', 'equations', 'which', 'is', 'distinct', 'from', 'the', 'classes', 'available', 'in', 'the', 'literature', 'some', 'examples', 'are', 'given', 'and', 'discussed']] | [-0.15732408001234657, 0.0015305818074889351, -0.017638736453495528, 0.06628598387173393, -0.1532332790329268, -0.10713191112307341, -0.06432508479542377, 0.20365508430915183, -0.30538546490041835, -0.3233892620263392, 0.1443369600925954, -0.35448195260802384, -0.14597902669195542, 0.22137837229794904, -0.03900645668373296, 0.1335381203935596, 0.009705971452619946, 0.08629016989940091, -0.14282101381308676, -0.30744358446252973, 0.44897742830870446, -0.10269156599972855, 0.17499581556113666, -0.09752443415447742, 0.16289765448227786, -0.06222729258271947, -0.07564675048189728, 0.038239575072861555, -0.1681655120970518, 0.14943083253149925, 0.30156798766550136, 0.023213978889479972, 0.2692623373545837, -0.3695753022309458, -0.19248651541573436, 0.1020530533993192, 0.06360723459766361, 0.1758742938410458, -0.027132875138991756, -0.30043755264201183, 0.11225818893300336, -0.1589509768967043, -0.17355486177921034, -0.09976696749136113, -0.0032248122192788543, 0.10591342033851042, -0.26532152326156694, 0.11974422501302079, 0.1236984564906411, 0.03420296979643274, -0.06707221361922852, -0.09221821734191556, -0.025943845869940623, 0.06063781825727538, 0.023228680457625734, -0.07407569714511435, -0.022812463947686188, -0.10970617096724086, -0.12686374938736358, 0.4146733829065373, -0.0689783439187235, -0.22364720924381623, 0.16983124389917703, -0.1272435232327042, -0.1520111604936813, 0.15984985308329525, 0.18103206319440351, 0.21705341541714834, -0.21034890166565515, 0.06917865373288166, 0.022877488530388002, 0.1723696409577602, 0.0787673159012277, -0.0325087806855312, 0.0493054657586311, 0.14249603478891545, 0.0786610556553984, 0.1364636988738519, 0.029236754729298122, -0.1507551613214769, -0.3993260622547384, -0.15648046787828207, -0.07177003311287415, 0.009005679732613396, -0.08121190851594101, -0.12638129427898348, 0.39813825703765215, 0.14888877699380382, 0.12302597192230455, 0.055588074626907576, 0.28195496828278954, 0.2683127518057039, 0.034441897357043526, 0.016849115940235686, 0.19387582231470252, 0.18691121043817124, 0.14426099979563764, -0.19146436545691503, 0.06435239515185617, 0.2025239382453851] |
711.1215 | Conditional linearizability criteria for a system of third-order
ordinary differential equations | We provide linearizability criteria for a class of systems of third-order
ordinary differential equations (ODEs) that is cubically semi-linear in the
first derivative, by differentiating a system of second-order quadratically
semi-linear ODEs and using the original system to replace the second
derivative. The procedure developed splits into two cases, those where the
coefficients are constant and those where they are variables. Both cases are
discussed and examples given.
| math.CA | we provide linearizability criteria for a class of systems of thirdorder ordinary differential equations odes that is cubically semilinear in the first derivative by differentiating a system of secondorder quadratically semilinear odes and using the original system to replace the second derivative the procedure developed splits into two cases those where the coefficients are constant and those where they are variables both cases are discussed and examples given | [['we', 'provide', 'linearizability', 'criteria', 'for', 'a', 'class', 'of', 'systems', 'of', 'thirdorder', 'ordinary', 'differential', 'equations', 'odes', 'that', 'is', 'cubically', 'semilinear', 'in', 'the', 'first', 'derivative', 'by', 'differentiating', 'a', 'system', 'of', 'secondorder', 'quadratically', 'semilinear', 'odes', 'and', 'using', 'the', 'original', 'system', 'to', 'replace', 'the', 'second', 'derivative', 'the', 'procedure', 'developed', 'splits', 'into', 'two', 'cases', 'those', 'where', 'the', 'coefficients', 'are', 'constant', 'and', 'those', 'where', 'they', 'are', 'variables', 'both', 'cases', 'are', 'discussed', 'and', 'examples', 'given']] | [-0.17938499714193099, 0.02532937461236382, -0.01511270964778412, 0.05342146314112196, -0.10481700696982443, -0.17712268094970463, -0.06848326050128568, 0.2714018358349088, -0.28629592533552034, -0.27059958864222555, 0.16455564236521775, -0.3497427666751558, -0.1741350175922408, 0.23631783276419704, -0.011386708904276876, 0.11282414934762261, 0.028984472415793466, 0.05937067744269049, -0.10360957295736573, -0.3226617996252197, 0.38305354837040584, -0.09120671597638112, 0.18001027981860235, -0.09435720835565864, 0.16179498150835142, -0.04893906565848738, -0.026737518238780254, 0.04372341854548936, -0.103534728203586, 0.06926712354042512, 0.2778147444187198, 0.058996645295444655, 0.2943657805376193, -0.4022930650423993, -0.17795310477616594, 0.0659081834669718, 0.06513031075626392, 0.12742977518492432, 0.007994800968363587, -0.29139835336793435, 0.08233268917812143, -0.13190908477340332, -0.128650804522776, -0.11598537854083321, -0.0011728405678535208, 0.09794043950216078, -0.2879724149208735, 0.10918843888622873, 0.09796412742819965, 0.02015134281314471, -0.09427350652678047, -0.10858989938039004, -0.039662419338984525, 0.05698835006093278, 0.031561547650626916, -0.06711762123193372, 0.03754936242886983, -0.10884569568888229, -0.08629538484177936, 0.41999311120632815, -0.0723005529588965, -0.2911489733549602, 0.18467772953034214, -0.12681187878992847, -0.13236361928284168, 0.11841478046330046, 0.18169684830012128, 0.19684792397653356, -0.18976489453138234, 0.07965432664615732, 0.03051107802757007, 0.15681174063288114, 0.06403805364115055, -0.01234807403799256, 0.08721828275798436, 0.09502218070231132, 0.0800201688954771, 0.13850805579739459, 0.03342981999466086, -0.16050069089568056, -0.36857353501460133, -0.1699042761602494, -0.09507519061512806, -0.022563475649803877, -0.0790666256860491, -0.14641137367717044, 0.38902249359799657, 0.09385297072174795, 0.1570186129606822, 0.0918312017525108, 0.2680568620288635, 0.2715250693453366, 0.030508034934855995, 0.02701094582923414, 0.21292405972695527, 0.14825877679087332, 0.11422918093226411, -0.1887766930847326, 0.04663658867288819, 0.17055733671398177] |
711.1216 | Pseudospin Soliton in the $\nu=1$ Bilayer Quantum Hall State | We investigate a domain structure of pseudospins, a soliton lattice in the
bilayer quantum Hall state at total Landau level filling factor $\nu =1$, in a
tilted magnetic field, where the pseudospin represents the layer degree of
freedom. An anomalous peak in the magnetoresistance $R_{xx}$ appears at the
transition point between the commensurate and incommensurate phases. The
$R_{xx}$ at the peak is highly anisotropic for the angle between the in-plain
magnetic field $B_\parallel $ and the current, and indicates a formation of the
soliton lattice aligned parallel to $B_\parallel $. Temperature dependence of
the $R_{xx}$ peak reveals that the dissipation is caused by thermal
fluctuations of pseudospin solitons. We construct a phase diagram of the
bilayer $\nu =1$ system as a function of $B_\parallel$ and the total electron
density. We also study effects of density imbalance between the two layers.
| cond-mat.mes-hall | we investigate a domain structure of pseudospins a soliton lattice in the bilayer quantum hall state at total landau level filling factor nu 1 in a tilted magnetic field where the pseudospin represents the layer degree of freedom an anomalous peak in the magnetoresistance r_xx appears at the transition point between the commensurate and incommensurate phases the r_xx at the peak is highly anisotropic for the angle between the inplain magnetic field b_parallel and the current and indicates a formation of the soliton lattice aligned parallel to b_parallel temperature dependence of the r_xx peak reveals that the dissipation is caused by thermal fluctuations of pseudospin solitons we construct a phase diagram of the bilayer nu 1 system as a function of b_parallel and the total electron density we also study effects of density imbalance between the two layers | [['we', 'investigate', 'a', 'domain', 'structure', 'of', 'pseudospins', 'a', 'soliton', 'lattice', 'in', 'the', 'bilayer', 'quantum', 'hall', 'state', 'at', 'total', 'landau', 'level', 'filling', 'factor', 'nu', '1', 'in', 'a', 'tilted', 'magnetic', 'field', 'where', 'the', 'pseudospin', 'represents', 'the', 'layer', 'degree', 'of', 'freedom', 'an', 'anomalous', 'peak', 'in', 'the', 'magnetoresistance', 'r_xx', 'appears', 'at', 'the', 'transition', 'point', 'between', 'the', 'commensurate', 'and', 'incommensurate', 'phases', 'the', 'r_xx', 'at', 'the', 'peak', 'is', 'highly', 'anisotropic', 'for', 'the', 'angle', 'between', 'the', 'inplain', 'magnetic', 'field', 'b_parallel', 'and', 'the', 'current', 'and', 'indicates', 'a', 'formation', 'of', 'the', 'soliton', 'lattice', 'aligned', 'parallel', 'to', 'b_parallel', 'temperature', 'dependence', 'of', 'the', 'r_xx', 'peak', 'reveals', 'that', 'the', 'dissipation', 'is', 'caused', 'by', 'thermal', 'fluctuations', 'of', 'pseudospin', 'solitons', 'we', 'construct', 'a', 'phase', 'diagram', 'of', 'the', 'bilayer', 'nu', '1', 'system', 'as', 'a', 'function', 'of', 'b_parallel', 'and', 'the', 'total', 'electron', 'density', 'we', 'also', 'study', 'effects', 'of', 'density', 'imbalance', 'between', 'the', 'two', 'layers']] | [-0.2661619726062307, 0.23643647292529762, -0.04585674699679341, 0.010009785636625104, -0.010594338235155126, -0.10456735914762037, 0.051110575964296426, 0.35840014597751957, -0.2798561521373905, -0.27312642738115095, -0.017149560037912612, -0.28750929715570767, -0.12126886566461442, 0.11373736048825896, 0.08506279290937212, -0.04434689400596139, -0.06351163375285873, -0.0073120797076599965, -0.10091354118312533, -0.15715426054573955, 0.3317142635321521, 0.017650951731754332, 0.33554502891079674, 0.08650485382658309, 0.07943459024544859, -0.0010345599603960695, 0.1107344617695966, 0.032653774114568594, -0.1694272095053326, -0.009950128923831642, 0.18131688393760417, -0.13073757396120092, 0.1916093749915371, -0.39671822607625223, -0.14596391629606512, 0.01334282482697534, 0.13880098746765568, 0.12274640689239553, -0.014005524814095132, -0.2536473667554463, 0.027738472428240315, -0.12286814080605678, -0.155508140609026, -0.023167489261549486, 0.035954352382206074, -0.01491339048674411, -0.2782526180958814, 0.17826687051569604, 0.0561123965561147, 0.10731128112588456, -0.07729537926776253, -0.14184944870446445, -0.10704326550341278, 0.05905133495242267, 0.05690358077138798, 0.1329981112387453, 0.16100180710233963, -0.19191105387416546, -0.10843338949632818, 0.3402248935274564, -0.09210722141332277, -0.12713486955001735, 0.1024119615634107, -0.2387361900137098, -0.05197165619608932, 0.1621876101454963, 0.11896839261770356, 0.04189899822096408, -0.05665726958735225, 0.05421915629362364, 0.003471947772819819, 0.18836594797081171, 0.05070003935311367, 0.050634231725437705, 0.2985426662084849, 0.16416673388237646, 0.08532615375715187, 0.16596171084413494, -0.18916739602370755, -0.05976855652609273, -0.2635712632774443, -0.16418158264992677, -0.19813969864786696, 0.07586789299882409, -0.09901377587685482, -0.18426225790618986, 0.4579761570616477, 0.10977220845887896, 0.22353127546797413, -0.06449032356402418, 0.24558233052991546, 0.16538551843731894, 0.05518439945265435, 0.06742948282213099, 0.22973201976265703, 0.19658132843956674, 0.13447284983113353, -0.32900275872426404, 0.012207236120720272, -0.00528865074591232] |
711.1217 | Constructing a Space from the System of Geodesic Equations | Given a space it is easy to obtain the system of geodesic equations on it. In
this paper the inverse problem of reconstructing the space from the geodesic
equations is addressed. A procedure is developed for obtaining the metric
tensor from the Christoffel symbols. The procedure is extended for determining
if a second order quadratically semi-linear system can be expressed as a system
of geodesic equations, provided it has terms only quadratic in the first
derivative apart from the second derivative term. A computer code has been
developed for dealing with larger systems of geodesic equations.
| math.DG math.CA | given a space it is easy to obtain the system of geodesic equations on it in this paper the inverse problem of reconstructing the space from the geodesic equations is addressed a procedure is developed for obtaining the metric tensor from the christoffel symbols the procedure is extended for determining if a second order quadratically semilinear system can be expressed as a system of geodesic equations provided it has terms only quadratic in the first derivative apart from the second derivative term a computer code has been developed for dealing with larger systems of geodesic equations | [['given', 'a', 'space', 'it', 'is', 'easy', 'to', 'obtain', 'the', 'system', 'of', 'geodesic', 'equations', 'on', 'it', 'in', 'this', 'paper', 'the', 'inverse', 'problem', 'of', 'reconstructing', 'the', 'space', 'from', 'the', 'geodesic', 'equations', 'is', 'addressed', 'a', 'procedure', 'is', 'developed', 'for', 'obtaining', 'the', 'metric', 'tensor', 'from', 'the', 'christoffel', 'symbols', 'the', 'procedure', 'is', 'extended', 'for', 'determining', 'if', 'a', 'second', 'order', 'quadratically', 'semilinear', 'system', 'can', 'be', 'expressed', 'as', 'a', 'system', 'of', 'geodesic', 'equations', 'provided', 'it', 'has', 'terms', 'only', 'quadratic', 'in', 'the', 'first', 'derivative', 'apart', 'from', 'the', 'second', 'derivative', 'term', 'a', 'computer', 'code', 'has', 'been', 'developed', 'for', 'dealing', 'with', 'larger', 'systems', 'of', 'geodesic', 'equations']] | [-0.15375180596796176, 0.04951711811342344, -0.08472506415516061, 0.07203346338428673, -0.13190380526551357, -0.12837658096395899, -0.05539722033305831, 0.27833857660152717, -0.3154896455331861, -0.2683410609024577, 0.15518244706860665, -0.3038589015098599, -0.16480049459884563, 0.22759330341553627, -0.04768605419667438, 0.09788847057886112, 0.08185452581191537, 0.11570852434427555, -0.10225768389257912, -0.24868303954523677, 0.35830371593813953, 0.02463841280283911, 0.19226356260090446, -0.0029313032913099355, 0.20595835642598104, -0.0026567030993949934, -0.03098686340187366, 0.04674557143334823, -0.09800447294401238, 0.11050891716998497, 0.24307269537772905, 0.12938125789272212, 0.27436228563601617, -0.3657318319116409, -0.2307892921671737, 0.11594339979152816, 0.14836213439897014, 0.13543900368191922, 0.002439133259031223, -0.28102888943006593, 0.10162535424872961, -0.1508628168182137, -0.1389504116474806, -0.064846661722792, 0.040601676291165255, -0.037225324709046013, -0.2367495292176803, 0.04899181279082162, 0.07588801620780335, 0.035188703545524426, -0.09665055843652226, -0.07116072370869612, 0.01487199894230192, 0.1016909067936164, 0.07022355386531369, 0.08995663178211544, 0.028562763705849648, -0.05935323490363468, -0.05160290274943691, 0.440036759537179, -0.06714747711157543, -0.30903178465086967, 0.1084487691890293, -0.11755963866016828, -0.0904571243687921, 0.13092227774128182, 0.1869951669650618, 0.19745380664244294, -0.20139455781706297, 0.16986181162064895, -0.023689451743848622, 0.15084200371832898, 0.06829413270073321, -0.047206889459630474, 0.14021719055987583, 0.1356803388140785, 0.10425707214259698, 0.18736282139313212, -8.228375857773547e-05, -0.08253888396817881, -0.33736555026068044, -0.18758632944930773, -0.21136565048558018, 0.02986923387288698, -0.09196011411161938, -0.18942646185557047, 0.3741059454526597, 0.10234823254965401, 0.1185280987610895, 0.0732913714479461, 0.2913381024894382, 0.2275397642115422, 0.08168717818140674, 0.07700454108028983, 0.20980966030037962, 0.14482272021996323, 0.11956937663975016, -0.19315000351889466, 0.07180843285944623, 0.16711564038026458] |
711.1218 | The two-body random spin ensemble and a new type of quantum phase
transition | We study the properties of a two-body random matrix ensemble for
distinguishable spins. We require the ensemble to be invariant under the group
of local transformations and analyze a parametrization in terms of the group
parameters and the remaining parameters associated with the "entangling" part
of the interaction. We then specialize to a spin chain with nearest neighbour
interactions and numerically find a new type of quantum phase transition
related to the strength of a random external field i.e. the time reversal
breaking one body interaction term.
| quant-ph | we study the properties of a twobody random matrix ensemble for distinguishable spins we require the ensemble to be invariant under the group of local transformations and analyze a parametrization in terms of the group parameters and the remaining parameters associated with the entangling part of the interaction we then specialize to a spin chain with nearest neighbour interactions and numerically find a new type of quantum phase transition related to the strength of a random external field ie the time reversal breaking one body interaction term | [['we', 'study', 'the', 'properties', 'of', 'a', 'twobody', 'random', 'matrix', 'ensemble', 'for', 'distinguishable', 'spins', 'we', 'require', 'the', 'ensemble', 'to', 'be', 'invariant', 'under', 'the', 'group', 'of', 'local', 'transformations', 'and', 'analyze', 'a', 'parametrization', 'in', 'terms', 'of', 'the', 'group', 'parameters', 'and', 'the', 'remaining', 'parameters', 'associated', 'with', 'the', 'entangling', 'part', 'of', 'the', 'interaction', 'we', 'then', 'specialize', 'to', 'a', 'spin', 'chain', 'with', 'nearest', 'neighbour', 'interactions', 'and', 'numerically', 'find', 'a', 'new', 'type', 'of', 'quantum', 'phase', 'transition', 'related', 'to', 'the', 'strength', 'of', 'a', 'random', 'external', 'field', 'ie', 'the', 'time', 'reversal', 'breaking', 'one', 'body', 'interaction', 'term']] | [-0.1729088342994794, 0.18425298185655098, -0.04659692909175145, 0.0433022180657791, -0.04016031512198435, -0.13485840193648962, 0.05316570961858606, 0.3675295330969424, -0.2949079140464122, -0.2709262031612211, 0.07097551198649467, -0.27056510877078294, -0.13935347156727623, 0.10867546135880823, 0.05520733614082866, 0.006011636933076313, 0.01939567350033114, 0.09783943564813027, -0.13343761176748695, -0.2095907255150806, 0.3454246133639164, 0.015057744944050652, 0.22533214393596368, -0.011253003601718095, 0.10594780859805045, 0.0737544075564492, 0.022062930310594624, 0.002897699184223324, -0.09271021964478082, 0.08152158420811269, 0.15830473021748637, 0.02313567798627519, 0.19678146740014868, -0.40846558197818955, -0.18029513784909043, 0.14722841492340225, 0.10791113828415928, 0.15660319528703032, -0.046565255730937435, -0.30278937824755564, 0.017267728941622137, -0.19196955626295215, -0.16464339132452832, -0.07650639361771487, 0.02847240527626127, 0.03287220340297054, -0.307617885092723, 0.0831121722739404, 0.058245602202997813, 0.05533594603853664, -0.04811113495272638, -0.046583617935706485, 0.016648055643014525, 0.1508619681204102, 0.05417792052672855, 0.036480429081845726, 0.1582841405634308, -0.13966584187429185, -0.09967244562596597, 0.39700602373943245, -0.08080077853225086, -0.2130562956632254, 0.1894160575533136, -0.11743075770978954, -0.13692774448072773, 0.07794748262727055, 0.17691941764847985, 0.0987643326563097, -0.15618236745097513, 0.09159489879290969, 0.010009073363295916, 0.16886700058206058, -0.015978221984944124, 0.03789840265038027, 0.18579049542246537, 0.09494252068301041, 0.06408217056900606, 0.19779124934006825, -0.08481885398130586, -0.151931032013876, -0.30724163173601543, -0.15272139120397382, -0.20635271543936654, 0.04813659256431221, -0.1169402442664114, -0.15667487238266173, 0.47001672370744674, 0.14365713203282757, 0.21437857057042847, 0.05608116929023259, 0.20896065761816912, 0.10083032671319342, 0.08351398319348521, 0.049035812187511685, 0.23041216467089695, 0.17216512995461622, -0.010818640947684475, -0.28408770927431426, 0.03257989228285592, 0.09522539312448139] |
711.1219 | Adaptive Speckle Imaging Interferometry: a new technique for the
analysis of microstructure dynamics, drying processes and coating formation | We describe an extension of multi-speckle diffusing wave spectroscopy adapted
to follow the non-stationary microscopic dynamics in drying films and coatings
in a very reactive way and with a high dynamic range. We call this technique
"Adaptive Speckle Imaging Interferometry". We introduce an efficient tool, the
inter-image distance, to evaluate the speckle dynamics, and the concept of
"speckle rate" (SR, in Hz) to quantify this dynamics. The adaptive algorithm
plots a simple kinetics, the time evolution of the SR, providing a non-invasive
characterization of drying phenomena. A new commercial instrument, called
HORUS(R), based on ASII and specialized in the analysis of film formation and
drying processes is presented.
| cond-mat.soft physics.optics | we describe an extension of multispeckle diffusing wave spectroscopy adapted to follow the nonstationary microscopic dynamics in drying films and coatings in a very reactive way and with a high dynamic range we call this technique adaptive speckle imaging interferometry we introduce an efficient tool the interimage distance to evaluate the speckle dynamics and the concept of speckle rate sr in hz to quantify this dynamics the adaptive algorithm plots a simple kinetics the time evolution of the sr providing a noninvasive characterization of drying phenomena a new commercial instrument called horusr based on asii and specialized in the analysis of film formation and drying processes is presented | [['we', 'describe', 'an', 'extension', 'of', 'multispeckle', 'diffusing', 'wave', 'spectroscopy', 'adapted', 'to', 'follow', 'the', 'nonstationary', 'microscopic', 'dynamics', 'in', 'drying', 'films', 'and', 'coatings', 'in', 'a', 'very', 'reactive', 'way', 'and', 'with', 'a', 'high', 'dynamic', 'range', 'we', 'call', 'this', 'technique', 'adaptive', 'speckle', 'imaging', 'interferometry', 'we', 'introduce', 'an', 'efficient', 'tool', 'the', 'interimage', 'distance', 'to', 'evaluate', 'the', 'speckle', 'dynamics', 'and', 'the', 'concept', 'of', 'speckle', 'rate', 'sr', 'in', 'hz', 'to', 'quantify', 'this', 'dynamics', 'the', 'adaptive', 'algorithm', 'plots', 'a', 'simple', 'kinetics', 'the', 'time', 'evolution', 'of', 'the', 'sr', 'providing', 'a', 'noninvasive', 'characterization', 'of', 'drying', 'phenomena', 'a', 'new', 'commercial', 'instrument', 'called', 'horusr', 'based', 'on', 'asii', 'and', 'specialized', 'in', 'the', 'analysis', 'of', 'film', 'formation', 'and', 'drying', 'processes', 'is', 'presented']] | [-0.07818748925830114, 0.11481043665460092, -0.15571285204364443, 0.045652816787072156, -0.044381650076862775, -0.1348699825192046, 0.034402888801985616, 0.40840253629282397, -0.29934047223156635, -0.26187350722205527, 0.07534647322664002, -0.22201468744139485, -0.1964522356360729, 0.2020772063647801, -0.06658895123741185, 0.057444632290598915, 0.02501177679712199, -0.0860995666040459, -0.01304915414701374, -0.15977423102814564, 0.22907461143836802, 0.1319952260368978, 0.3007377457084521, 0.023992503237611842, 0.12758279445950152, 0.04441614327776545, -0.05450580000244784, 0.00045410990012141893, -0.19306285455735084, 0.09711612254943487, 0.2458769069953804, 0.10990996263868544, 0.26274075659589385, -0.42867410068734074, -0.23619619172663903, 0.03701333531160962, 0.12136417998106412, 0.11304664077843486, -0.11539681417151477, -0.26565910755428224, 0.012344856285226514, -0.11427352026561802, -0.14377155671783565, -0.09932773854728472, -0.010741996209857598, 0.03272242584037331, -0.28852948643056286, 0.040208096752154095, 0.03139679777471103, 0.11580958031117916, -0.07262886362376827, -0.01674729346666696, 0.05571102327227874, 0.08321807273435143, -0.05244207276989056, 0.008693702791307895, 0.1860870891426391, -0.10028473206927269, -0.0920496487744012, 0.34973378781721276, -0.10106039631953638, -0.15502447525109603, 0.2315585300137447, -0.14311802077968167, -0.09345457647522946, 0.17903271582821068, 0.22506083674588293, 0.17591711264191512, -0.20008126209613006, -0.009108809568097745, 0.029088474493962492, 0.20680212584447186, 0.08105545574228086, 0.030015608049788565, 0.16402057549951352, 0.30022165574625415, 0.03899740452333441, 0.1498551898337198, -0.17864673985563712, -0.06983645827913622, -0.2161379146108509, -0.1815049268463451, -0.14600608053063657, 0.01758791028589498, -0.09720079767238239, -0.19535534240235136, 0.37975237036633464, 0.1873614308028921, 0.14546965198802217, 0.02423451563237973, 0.30824445004416806, 0.05549347328619575, 0.034742387222512716, -0.013978347195452958, 0.2006752146583683, 0.1443024045691105, 0.18797336149310587, -0.2525333957614834, 0.07706575400749538, 0.04394117483588041] |
711.122 | Structure and organization in inclusion-containing bilayer membranes | Membrane organization is essential for cellular functions such as signal
transduction and membrane trafficking. A major challenge is to understand the
lateral heterogeneous structures in membranes and membrane fluidity in the
presence of inclusions. Based on a considerable amount of experimental evidence
for lateral organization of lipid membranes which share astonishingly similar
features in the presence of different inclusions, we first present a general
model system of bilayer membranes embedded by nanosized inclusions, and explain
experimental findings. Here, the hydrophobic inclusions are simple models of
intrinsic membrane proteins, cholesterol embedded in the membrane, hydrophobic
drugs, or other nanoparticles for bio-medical applications. It is found that
lipid/inclusion-rich raft domains are formed at moderate inclusion
concentrations, and disappear with the increase of inclusions. At high
inclusion content, chaining of inclusions occurs due to the effective
attraction between inclusions mediated by lipids. Meanwhile, increasing
inclusions can also cause thickening of the membrane, and the distribution of
inclusions undergoes a layering transition from one-layer located in the
bilayer midplane to two-layer structure arranged into the two leaflets of a
bilayer. Our theoretical predictions address the complex interactions between
membranes and inclusions, suggesting a unifying mechanism which reflects the
competition between the conformational entropy of lipids favoring the formation
of lipid-rich rafts and the steric repulsion of inclusions leading to the
uniform dispersion.
| cond-mat.soft cond-mat.stat-mech | membrane organization is essential for cellular functions such as signal transduction and membrane trafficking a major challenge is to understand the lateral heterogeneous structures in membranes and membrane fluidity in the presence of inclusions based on a considerable amount of experimental evidence for lateral organization of lipid membranes which share astonishingly similar features in the presence of different inclusions we first present a general model system of bilayer membranes embedded by nanosized inclusions and explain experimental findings here the hydrophobic inclusions are simple models of intrinsic membrane proteins cholesterol embedded in the membrane hydrophobic drugs or other nanoparticles for biomedical applications it is found that lipidinclusionrich raft domains are formed at moderate inclusion concentrations and disappear with the increase of inclusions at high inclusion content chaining of inclusions occurs due to the effective attraction between inclusions mediated by lipids meanwhile increasing inclusions can also cause thickening of the membrane and the distribution of inclusions undergoes a layering transition from onelayer located in the bilayer midplane to twolayer structure arranged into the two leaflets of a bilayer our theoretical predictions address the complex interactions between membranes and inclusions suggesting a unifying mechanism which reflects the competition between the conformational entropy of lipids favoring the formation of lipidrich rafts and the steric repulsion of inclusions leading to the uniform dispersion | [['membrane', 'organization', 'is', 'essential', 'for', 'cellular', 'functions', 'such', 'as', 'signal', 'transduction', 'and', 'membrane', 'trafficking', 'a', 'major', 'challenge', 'is', 'to', 'understand', 'the', 'lateral', 'heterogeneous', 'structures', 'in', 'membranes', 'and', 'membrane', 'fluidity', 'in', 'the', 'presence', 'of', 'inclusions', 'based', 'on', 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0.13653914743810203, 0.0016448584954357809] |
711.1221 | Entanglement Entropy in Quantum Gravity and the Plateau Problem | In a quantum gravity theory the entropy of entanglement $S$ between the
fundamental degrees of freedom spatially divided by a surface is discussed. The
classical gravity is considered as an emergent phenomenon and arguments are
presented that: 1) $S$ is a macroscopical quantity which can be determined
without knowing a real microscopical content of the fundamental theory; 2) $S$
is given by the Bekenstein-Hawking formula in terms of the area of a
co-dimension 2 hypesurface $\cal B$; 3) in static space-times $\cal B$ can be
defined as a minimal hypersurface of a least volume separating the system in a
constant time slice. It is shown that properties of $S$ are in agreement with
basic properties of the von Neumann entropy. Explicit variational formulae for
$S$ in different physical examples are considered.
| hep-th | in a quantum gravity theory the entropy of entanglement s between the fundamental degrees of freedom spatially divided by a surface is discussed the classical gravity is considered as an emergent phenomenon and arguments are presented that 1 s is a macroscopical quantity which can be determined without knowing a real microscopical content of the fundamental theory 2 s is given by the bekensteinhawking formula in terms of the area of a codimension 2 hypesurface cal b 3 in static spacetimes cal b can be defined as a minimal hypersurface of a least volume separating the system in a constant time slice it is shown that properties of s are in agreement with basic properties of the von neumann entropy explicit variational formulae for s in different physical examples are considered | [['in', 'a', 'quantum', 'gravity', 'theory', 'the', 'entropy', 'of', 'entanglement', 's', 'between', 'the', 'fundamental', 'degrees', 'of', 'freedom', 'spatially', 'divided', 'by', 'a', 'surface', 'is', 'discussed', 'the', 'classical', 'gravity', 'is', 'considered', 'as', 'an', 'emergent', 'phenomenon', 'and', 'arguments', 'are', 'presented', 'that', '1', 's', 'is', 'a', 'macroscopical', 'quantity', 'which', 'can', 'be', 'determined', 'without', 'knowing', 'a', 'real', 'microscopical', 'content', 'of', 'the', 'fundamental', 'theory', '2', 's', 'is', 'given', 'by', 'the', 'bekensteinhawking', 'formula', 'in', 'terms', 'of', 'the', 'area', 'of', 'a', 'codimension', '2', 'hypesurface', 'cal', 'b', '3', 'in', 'static', 'spacetimes', 'cal', 'b', 'can', 'be', 'defined', 'as', 'a', 'minimal', 'hypersurface', 'of', 'a', 'least', 'volume', 'separating', 'the', 'system', 'in', 'a', 'constant', 'time', 'slice', 'it', 'is', 'shown', 'that', 'properties', 'of', 's', 'are', 'in', 'agreement', 'with', 'basic', 'properties', 'of', 'the', 'von', 'neumann', 'entropy', 'explicit', 'variational', 'formulae', 'for', 's', 'in', 'different', 'physical', 'examples', 'are', 'considered']] | [-0.17569685101849386, 0.16842973533734598, -0.08435975550315701, 0.0617621498549572, -0.007382063553310358, -0.17861895482414045, -0.01574316855985671, 0.268297202177704, -0.24257736504077912, -0.2725913789982979, 0.0854259941037386, -0.28320787757133636, -0.11797596661445613, 0.1783096919588458, -0.09392565481651288, 0.03379725520857252, -0.016047840155302907, 0.10927879382462169, -0.09200964009460921, -0.23004023703710677, 0.30548243000387, 0.008537647040569796, 0.21855148964633161, 0.07001923950603949, 0.08510677018202842, -0.034114711948383884, -0.0038566163955972743, 0.0951264049571294, -0.16916351885447511, 0.11206854518073109, 0.24528258679649578, 0.15358158714997655, 0.21740179303675317, -0.38324541182328875, -0.2563819999878223, 0.07676516711138762, 0.11600729626101944, 0.07088134822126729, 0.013828081802393382, -0.239896152766708, 0.09586451838079553, -0.1629364192091788, -0.16523783631766073, -0.04535434923779506, 0.10128700006036805, -0.03466885590639252, -0.23426535653236966, 0.1008260066047884, 0.06697603471290607, 0.08181039508288869, -0.03061214531547963, -0.08074715887465013, -0.0731927199387708, 0.09693281485412557, 0.02940445166761772, 0.0549090562424121, 0.0993918869823504, -0.1095207047326347, -0.1208886158760064, 0.3800998209044337, -0.055819147856135926, -0.25137090853229616, 0.14235078256863815, -0.14836895600892602, -0.07536648319174465, 0.09067400114951082, 0.08568102452689065, 0.16655174892109173, -0.1502439234405756, 0.16398520495053023, -0.053950065804215575, 0.15332988481252238, 0.06498912781691896, 0.05282167471321792, 0.21384487384930254, 0.09984121077622359, 0.03059154340925698, 0.1406593999229909, -0.010828018668465889, -0.10040767378881216, -0.4152373243123293, -0.20654810064364798, -0.22408769382163882, 0.10218155748712329, -0.13917029345253606, -0.1370186597043917, 0.3533680794903865, 0.03823859852496893, 0.1983562164516885, 0.003018915066674638, 0.23141188664505116, 0.12412319724770406, 0.03605504398359559, 0.07715799037653666, 0.20641341699072374, 0.1656658157133139, 0.03582728911457637, -0.20111258136502538, 0.031121694583159228, 0.12551543921626246] |
711.1222 | Conditional Linearizability Criteria for Scalar Fourth Order Semi-Linear
Ordinary Differential Equations | Using geometric methods for linearizing systems of second order cubically
semi-linear ordinary differential equations and third order quintically
semi-linear ordinary differential equations, we extend to the fourth order by
differentiating the third order equation. This yields criteria for
linearizability of a class of fourth order semi-linear ordinary differential
equations, which have not been discussed in the literature previously. It is
shown that the procedure can be extended to higher order. Though the results
for the higher orders are complicated, they are doable by algebraic computing.
The standard Lie approach, as developed at present does not seem to be amenable
to giving results that can be handled even by algebraic computing.
| math.CA | using geometric methods for linearizing systems of second order cubically semilinear ordinary differential equations and third order quintically semilinear ordinary differential equations we extend to the fourth order by differentiating the third order equation this yields criteria for linearizability of a class of fourth order semilinear ordinary differential equations which have not been discussed in the literature previously it is shown that the procedure can be extended to higher order though the results for the higher orders are complicated they are doable by algebraic computing the standard lie approach as developed at present does not seem to be amenable to giving results that can be handled even by algebraic computing | [['using', 'geometric', 'methods', 'for', 'linearizing', 'systems', 'of', 'second', 'order', 'cubically', 'semilinear', 'ordinary', 'differential', 'equations', 'and', 'third', 'order', 'quintically', 'semilinear', 'ordinary', 'differential', 'equations', 'we', 'extend', 'to', 'the', 'fourth', 'order', 'by', 'differentiating', 'the', 'third', 'order', 'equation', 'this', 'yields', 'criteria', 'for', 'linearizability', 'of', 'a', 'class', 'of', 'fourth', 'order', 'semilinear', 'ordinary', 'differential', 'equations', 'which', 'have', 'not', 'been', 'discussed', 'in', 'the', 'literature', 'previously', 'it', 'is', 'shown', 'that', 'the', 'procedure', 'can', 'be', 'extended', 'to', 'higher', 'order', 'though', 'the', 'results', 'for', 'the', 'higher', 'orders', 'are', 'complicated', 'they', 'are', 'doable', 'by', 'algebraic', 'computing', 'the', 'standard', 'lie', 'approach', 'as', 'developed', 'at', 'present', 'does', 'not', 'seem', 'to', 'be', 'amenable', 'to', 'giving', 'results', 'that', 'can', 'be', 'handled', 'even', 'by', 'algebraic', 'computing']] | [-0.11727069063569256, 0.045969359764675484, -0.07605996923179391, 0.09214936701341643, -0.16693251742767767, -0.13281690871445548, -0.06253601520305174, 0.2740037840910666, -0.2786894635117929, -0.3433846152908758, 0.16701955833245888, -0.2722671424816234, -0.13970225910152043, 0.23608006084222483, -0.058475428790605945, 0.09905443261932889, 0.007090273364489779, 0.07491568675042566, -0.11842857671948577, -0.3341143939456125, 0.36971201247390395, -0.03436358375560253, 0.1922515520928513, -0.029795189929587785, 0.1014200194414124, -0.06402443090898044, -0.04766934899049341, 0.0811882381703397, -0.10603241836120815, 0.1298243561930476, 0.3331742526754019, 0.023451575821419376, 0.24682966732514014, -0.41463663085543234, -0.20098629394768303, 0.11279300629981545, 0.15645273054582537, 0.1555329237716409, 0.0008757731219360587, -0.2876805314247351, 0.14965122504749362, -0.19446625459646602, -0.18722949385079085, -0.1601947019167176, -0.021935410096967985, 0.04236913022986793, -0.25095312764714345, 0.09379207823049585, 0.12221024736309202, 0.009787401133174197, -0.01859898493121113, -0.09346189668803655, -0.01442770760104812, 0.05205656129678865, 0.005423483336258919, -0.01969062209710342, 0.023498550014689975, -0.07570454514790498, -0.1418258056659764, 0.42070983117873517, -0.07165086724573251, -0.24176119591767362, 0.17073285450663314, -0.15816747680426055, -0.1413723871607436, 0.18110884950333916, 0.14681821126798425, 0.17440614479363237, -0.19728145841509104, 0.0856324463453648, 0.01341528007162547, 0.1558994853851992, 0.05983014456893599, -0.036111357196772456, 0.08816602054573254, 0.10390480825199036, 0.09646149954775673, 0.08029878281009888, 0.04141368831448052, -0.12843398384561916, -0.3044138321174531, -0.1418560698677555, -0.0831397578308205, 0.030136917371979974, -0.050532247896659735, -0.12777748950965354, 0.3403135542245155, 0.15313074227695891, 0.11259033507881087, 0.05979380395729095, 0.2831684057429911, 0.29314731707296615, 0.11024325790276635, 0.041679694338641854, 0.24712786599651937, 0.16103302388998825, 0.12841013156800368, -0.18042445339400262, 0.08892979881290448, 0.16076895378213887] |
711.1223 | Spectral Spatial Fluctuations of CMBR: Strategy and Concept of the
Experiment | Spectral Spatial Fluctuations (SSF) of the Cosmic Microwave Background
Radiation (CMBR) temperature are considered as a result of an interaction of
primordial atoms and molecules with CMBR in proto-objects moving with peculiar
velocities relative to the CMBR. Expected optimistic values of $\Delta T/T$ are
2x10^{-5}--2x10^{-6}$ for SSF caused by HeH$^+$ at z =20-30 which are possible
redshifts of early reionization scenario. The bandwidth of the lines is 0.1-2%
depending on the scale of proto-objects and redshifts. For the SSF search CMBR
maps in different spectral channels are to be observed and then processed by
the Difference method. Simulation of the experiment is made for MSRT (Tuorla
Observatory, Finland) equipped with a 7x4 beam cryo-microbolometer array with a
chopping flat and frequency multiplexer providing up to 7 spectral channels in
each beam (88-100 GHz). Expected $\Delta $T/T limit in the experiment is 2x10
$^{-5}$ with 6'-7' angular and 2% frequency resolution. Simulation shows that
SSF may be recognized in the angular power spectrum when S/N in single
frequency CMBR maps is as small as 1.17 or even something less for white noise.
Such an experiment gives us a possibility to set upper limit of SSF in MM band
and prepare future SSF observations.
| astro-ph | spectral spatial fluctuations ssf of the cosmic microwave background radiation cmbr temperature are considered as a result of an interaction of primordial atoms and molecules with cmbr in protoobjects moving with peculiar velocities relative to the cmbr expected optimistic values of delta tt are 2x1052x106 for ssf caused by heh at z 2030 which are possible redshifts of early reionization scenario the bandwidth of the lines is 012 depending on the scale of protoobjects and redshifts for the ssf search cmbr maps in different spectral channels are to be observed and then processed by the difference method simulation of the experiment is made for msrt tuorla observatory finland equipped with a 7x4 beam cryomicrobolometer array with a chopping flat and frequency multiplexer providing up to 7 spectral channels in each beam 88100 ghz expected delta tt limit in the experiment is 2x10 5 with 67 angular and 2 frequency resolution simulation shows that ssf may be recognized in the angular power spectrum when sn in single frequency cmbr maps is as small as 117 or even something less for white noise such an experiment gives us a possibility to set upper limit of ssf in mm band and prepare future ssf observations | [['spectral', 'spatial', 'fluctuations', 'ssf', 'of', 'the', 'cosmic', 'microwave', 'background', 'radiation', 'cmbr', 'temperature', 'are', 'considered', 'as', 'a', 'result', 'of', 'an', 'interaction', 'of', 'primordial', 'atoms', 'and', 'molecules', 'with', 'cmbr', 'in', 'protoobjects', 'moving', 'with', 'peculiar', 'velocities', 'relative', 'to', 'the', 'cmbr', 'expected', 'optimistic', 'values', 'of', 'delta', 'tt', 'are', '2x1052x106', 'for', 'ssf', 'caused', 'by', 'heh', 'at', 'z', '2030', 'which', 'are', 'possible', 'redshifts', 'of', 'early', 'reionization', 'scenario', 'the', 'bandwidth', 'of', 'the', 'lines', 'is', '012', 'depending', 'on', 'the', 'scale', 'of', 'protoobjects', 'and', 'redshifts', 'for', 'the', 'ssf', 'search', 'cmbr', 'maps', 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711.1224 | Forster mechanism of electron-driven proton pump | We examine a simple model of proton pumping through the inner membrane of
mitochondria in the living cell. We demonstrate that the pumping process can be
described using approaches of condensed matter physics. In the framework of
this model, we show that the resonant F\"orster-type energy exchange due to
electron-proton Coulomb interaction can provide an unidirectional flow of
protons against an electrochemical proton gradient, thereby accomplishing
proton pumping. The dependence of this effect on temperature as well as
electron and proton voltage build-ups are obtained taking into account
electrostatic forces and noise in the environment. We find that the proton pump
works with maximum efficiency in the range of temperatures and transmembrane
electrochemical potentials which correspond to the parameters of living cells.
| cond-mat.mes-hall physics.bio-ph q-bio.SC | we examine a simple model of proton pumping through the inner membrane of mitochondria in the living cell we demonstrate that the pumping process can be described using approaches of condensed matter physics in the framework of this model we show that the resonant forstertype energy exchange due to electronproton coulomb interaction can provide an unidirectional flow of protons against an electrochemical proton gradient thereby accomplishing proton pumping the dependence of this effect on temperature as well as electron and proton voltage buildups are obtained taking into account electrostatic forces and noise in the environment we find that the proton pump works with maximum efficiency in the range of temperatures and transmembrane electrochemical potentials which correspond to the parameters of living cells | [['we', 'examine', 'a', 'simple', 'model', 'of', 'proton', 'pumping', 'through', 'the', 'inner', 'membrane', 'of', 'mitochondria', 'in', 'the', 'living', 'cell', 'we', 'demonstrate', 'that', 'the', 'pumping', 'process', 'can', 'be', 'described', 'using', 'approaches', 'of', 'condensed', 'matter', 'physics', 'in', 'the', 'framework', 'of', 'this', 'model', 'we', 'show', 'that', 'the', 'resonant', 'forstertype', 'energy', 'exchange', 'due', 'to', 'electronproton', 'coulomb', 'interaction', 'can', 'provide', 'an', 'unidirectional', 'flow', 'of', 'protons', 'against', 'an', 'electrochemical', 'proton', 'gradient', 'thereby', 'accomplishing', 'proton', 'pumping', 'the', 'dependence', 'of', 'this', 'effect', 'on', 'temperature', 'as', 'well', 'as', 'electron', 'and', 'proton', 'voltage', 'buildups', 'are', 'obtained', 'taking', 'into', 'account', 'electrostatic', 'forces', 'and', 'noise', 'in', 'the', 'environment', 'we', 'find', 'that', 'the', 'proton', 'pump', 'works', 'with', 'maximum', 'efficiency', 'in', 'the', 'range', 'of', 'temperatures', 'and', 'transmembrane', 'electrochemical', 'potentials', 'which', 'correspond', 'to', 'the', 'parameters', 'of', 'living', 'cells']] | [-0.07281734430055577, 0.19973495505491584, -0.05556859328081358, 0.045433733027911344, 0.01847841402851656, -0.10869128940594536, 0.03595221510966171, 0.3893216368055246, -0.25091514699771755, -0.30325247640492486, -0.031231835091364433, -0.24618495621367312, -0.09724076347211834, 0.19485478841730194, -0.010511325584003152, -0.005365986823100505, 0.012127872197659777, -0.028007373504090643, 0.011204274373174812, -0.15104606404870016, 0.2671834727077455, 0.08751712285257021, 0.28196051571762465, 0.15950481231767136, 0.11974678788960103, 0.019121181046147448, 0.050340970355986815, 0.006730279854697282, -0.10950848760199494, 0.08099635538156526, 0.23174201669868036, 0.026326171469828876, 0.19644232998128797, -0.5234333428813785, -0.25660954308161726, 0.07389598776448945, 0.1451445277770752, 0.12408666500581245, -0.07427512671890073, -0.21601686864847042, 0.012254174287263, -0.20054402898187887, -0.11005222067889589, -0.09538491147753524, -0.0015050076238322452, 0.08829037614594229, -0.2933180489439945, 0.08818753838508589, 0.043734909877845195, 0.039396396288495575, -0.13213066789168926, -0.1223933582468966, -0.055884779310693626, 0.10667489633583425, 0.07727182313936312, 0.0076004886373755385, 0.2708083031428062, -0.1462956693435668, -0.09093828340534305, 0.36463617193455367, -0.05665417417089959, -0.16611288093244198, 0.1643216953360949, -0.16290710824274565, -0.028060438855719128, 0.12506177454431097, 0.17010818307333794, 0.07518568197952309, -0.18768665999876427, 0.0676304207925449, 0.00896806989750657, 0.15744727173797238, 0.09951645841623549, 0.010317333756381126, 0.21706405599586298, 0.23474476545224668, 0.027599362236615577, 0.12794762445884741, -0.12386826947942133, -0.07427533185414847, -0.27818534642335824, -0.12198685601613195, -0.12701771008690482, 0.05394758528564125, -0.05466106857259502, -0.1277153592739926, 0.4043987219741465, 0.14399669166715418, 0.18817221626952352, -0.0291463356821981, 0.3250825603523093, 0.13194375058262015, 0.07067571697970394, 0.029289982915229974, 0.27778258733642214, 0.14829932211241761, 0.12367687220150819, -0.3234741694339719, 0.03318675497325412, 0.015206140458400621] |
711.1225 | Comment on ``Phase Transitions in Systems of Self-Propelled Agents and
Related Network Models'' | In this comment we show that the transition to collective motion in
Vicsek-like systems with angular noise remain discontinuous for large velocity
values. Thus, the networks studied by Aldana {\et al.} [Phys. Rev. Lett. {\bf
98}, 095702 (2007)] at best constitute a singular, large velocity limit of
these systems.
| cond-mat.stat-mech | in this comment we show that the transition to collective motion in vicseklike systems with angular noise remain discontinuous for large velocity values thus the networks studied by aldana et al phys rev lett bf 98 095702 2007 at best constitute a singular large velocity limit of these systems | [['in', 'this', 'comment', 'we', 'show', 'that', 'the', 'transition', 'to', 'collective', 'motion', 'in', 'vicseklike', 'systems', 'with', 'angular', 'noise', 'remain', 'discontinuous', 'for', 'large', 'velocity', 'values', 'thus', 'the', 'networks', 'studied', 'by', 'aldana', 'et', 'al', 'phys', 'rev', 'lett', 'bf', '98', '095702', '2007', 'at', 'best', 'constitute', 'a', 'singular', 'large', 'velocity', 'limit', 'of', 'these', 'systems']] | [-0.12783704133471474, 0.12861114258218245, 0.02371123308936755, -0.12597274978422016, -0.04923732219807183, -0.06957340497562352, 0.07173627833253704, 0.3236733606512037, -0.12366655324876774, -0.33240387216210365, -0.04049260459820895, -0.23867470099745938, -0.19976129887315133, 0.19379285796700665, -0.1530619859986473, 0.05421712535492892, 0.04430143358573938, -0.09609222961201642, -0.033838948928557024, -0.27361881540855393, 0.18134813054348342, 0.09551292838295922, 0.2855356183911984, 0.018277911527547985, 0.10107630077982321, 0.011486049469870826, 0.008051157831990471, 0.027395369485020638, -0.20407734662467192, -0.0009435698933278521, 0.2247590837214375, -0.003652917182383438, 0.25881306231409934, -0.33926931000314653, -0.25242655964878696, 0.11494545430468861, 0.05741634541967263, 0.17118698808675012, 0.06263229378964752, -0.402977428981103, 0.05298812986681393, -0.20902521511986075, -0.14962934442640594, -0.1764236516513241, 0.21506651859575263, 0.05584936276136432, -0.27011958924898255, 0.25322677350292605, 0.08414024099086721, 0.06281933578429744, 0.008854389695140222, -0.12195221711105357, -0.02805955131771043, -0.026545445172814652, -0.04618669658278426, 0.05666281240216146, 0.08962799805158284, -0.062248167649765186, -0.1082297694326068, 0.33620073955292656, -0.05192979801116356, -0.15206050220391867, 0.26420796480185044, -0.17156565389207876, -0.17385305664114034, 0.13980723114218563, 0.22476973326411098, 0.13728533246709654, -0.15715581557014957, 0.1096947535018747, -0.08046849873304988, 0.13991680287290365, 0.11939792340854183, 0.02229964209686841, 0.21434668851240227, 0.08976599849605311, -0.022324408889592934, 0.017876381122429546, -0.12393301596845656, -0.1205708528298904, -0.27919058883950737, -0.1359548097049507, -0.23325628354602182, 0.07336015619027118, 0.01620121972518973, -0.12620344220583016, 0.3048094042266409, 0.22816552893103412, 0.3251039727474563, 0.016065859274628263, 0.17690945668922117, 0.10483014302250619, -0.05033208529736536, 0.24460346061581126, 0.3273792682060351, 0.1436870106505618, 0.16927657055202872, -0.22655116319462346, -0.029872548640317593, 0.03463665529852733] |
711.1226 | Dynamic aspects of individual design activities. A cognitive ergonomics
viewpoint | This paper focuses on the use of knowledge possessed by designers. Data
collection was based on observations (by the cognitive ergonomics researcher)
and simultaneous verbalisations (by the designers) in empirical studies
conducted in the context of industrial design projects. The contribution of
this research is typical of cognitive ergonomics, in that it provides data on
actual activities implemented by designers in their actual work situation
(rather than on prescribed and/or idealised processes and methods). Data
presented concern global strategies (the way in which designers actually
organise their activity) and local strategies (reuse in design). Results from
cognitive ergonomics and other research that challenges the way in which people
are supposed to work with existing systems are generally not received warmly.
Abundant corroboration of such results is required before industry may consider
taking them into account. The opportunistic organisation of design activity is
taken here as an example of this reluctance. The results concerning this aspect
of design have been verified repeatedly, but only prototypes and experimental
systems implementing some of the requirements formulated on their basis, are
under development.
| cs.HC | this paper focuses on the use of knowledge possessed by designers data collection was based on observations by the cognitive ergonomics researcher and simultaneous verbalisations by the designers in empirical studies conducted in the context of industrial design projects the contribution of this research is typical of cognitive ergonomics in that it provides data on actual activities implemented by designers in their actual work situation rather than on prescribed andor idealised processes and methods data presented concern global strategies the way in which designers actually organise their activity and local strategies reuse in design results from cognitive ergonomics and other research that challenges the way in which people are supposed to work with existing systems are generally not received warmly abundant corroboration of such results is required before industry may consider taking them into account the opportunistic organisation of design activity is taken here as an example of this reluctance the results concerning this aspect of design have been verified repeatedly but only prototypes and experimental systems implementing some of the requirements formulated on their basis are under development | [['this', 'paper', 'focuses', 'on', 'the', 'use', 'of', 'knowledge', 'possessed', 'by', 'designers', 'data', 'collection', 'was', 'based', 'on', 'observations', 'by', 'the', 'cognitive', 'ergonomics', 'researcher', 'and', 'simultaneous', 'verbalisations', 'by', 'the', 'designers', 'in', 'empirical', 'studies', 'conducted', 'in', 'the', 'context', 'of', 'industrial', 'design', 'projects', 'the', 'contribution', 'of', 'this', 'research', 'is', 'typical', 'of', 'cognitive', 'ergonomics', 'in', 'that', 'it', 'provides', 'data', 'on', 'actual', 'activities', 'implemented', 'by', 'designers', 'in', 'their', 'actual', 'work', 'situation', 'rather', 'than', 'on', 'prescribed', 'andor', 'idealised', 'processes', 'and', 'methods', 'data', 'presented', 'concern', 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711.1227 | Designing as Construction of Representations: A Dynamic Viewpoint in
Cognitive Design Research | This article presents a cognitively oriented viewpoint on design. It focuses
on cognitive, dynamic aspects of real design, i.e., the actual cognitive
activity implemented by designers during their work on professional design
projects. Rather than conceiving de-signing as problem solving - Simon's
symbolic information processing (SIP) approach - or as a reflective practice or
some other form of situated activity - the situativity (SIT) approach - we
consider that, from a cognitive viewpoint, designing is most appropriately
characterised as a construction of representations. After a critical discussion
of the SIP and SIT approaches to design, we present our view-point. This
presentation concerns the evolving nature of representations regarding levels
of abstraction and degrees of precision, the function of external
representations, and specific qualities of representation in collective design.
Designing is described at three levels: the organisation of the activity, its
strategies, and its design-representation construction activities (different
ways to generate, trans-form, and evaluate representations). Even if we adopt a
"generic design" stance, we claim that design can take different forms
depending on the nature of the artefact, and we propose some candidates for
dimensions that allow a distinction to be made between these forms of design.
We discuss the potential specificity of HCI design, and the lack of cognitive
design research occupied with the quality of design. We close our discussion of
representational structures and activities by an outline of some directions
regarding their functional linkages.
| cs.HC | this article presents a cognitively oriented viewpoint on design it focuses on cognitive dynamic aspects of real design ie the actual cognitive activity implemented by designers during their work on professional design projects rather than conceiving designing as problem solving simons symbolic information processing sip approach or as a reflective practice or some other form of situated activity the situativity sit approach we consider that from a cognitive viewpoint designing is most appropriately characterised as a construction of representations after a critical discussion of the sip and sit approaches to design we present our viewpoint this presentation concerns the evolving nature of representations regarding levels of abstraction and degrees of precision the function of external representations and specific qualities of representation in collective design designing is described at three levels the organisation of the activity its strategies and its designrepresentation construction activities different ways to generate transform and evaluate representations even if we adopt a generic design stance we claim that design can take different forms depending on the nature of the artefact and we propose some candidates for dimensions that allow a distinction to be made between these forms of design we discuss the potential specificity of hci design and the lack of cognitive design research occupied with the quality of design we close our discussion of representational structures and activities by an outline of some directions regarding their functional linkages | [['this', 'article', 'presents', 'a', 'cognitively', 'oriented', 'viewpoint', 'on', 'design', 'it', 'focuses', 'on', 'cognitive', 'dynamic', 'aspects', 'of', 'real', 'design', 'ie', 'the', 'actual', 'cognitive', 'activity', 'implemented', 'by', 'designers', 'during', 'their', 'work', 'on', 'professional', 'design', 'projects', 'rather', 'than', 'conceiving', 'designing', 'as', 'problem', 'solving', 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711.1228 | Recovering the mass and the charge of a Reissner-Nordstr\"om black hole
by an inverse scattering experiment | In this paper, we study inverse scattering of massless Dirac fields that
propagate in the exterior region of a Reissner-Nordstr\"om black hole. Using a
stationary approach we determine precisely the leading terms of the high-energy
asymptotic expansion of the scattering matrix that, in turn, permit us to
recover uniquely the mass of the black hole and its charge up to a sign.
| math-ph math.MP | in this paper we study inverse scattering of massless dirac fields that propagate in the exterior region of a reissnernordstrom black hole using a stationary approach we determine precisely the leading terms of the highenergy asymptotic expansion of the scattering matrix that in turn permit us to recover uniquely the mass of the black hole and its charge up to a sign | [['in', 'this', 'paper', 'we', 'study', 'inverse', 'scattering', 'of', 'massless', 'dirac', 'fields', 'that', 'propagate', 'in', 'the', 'exterior', 'region', 'of', 'a', 'reissnernordstrom', 'black', 'hole', 'using', 'a', 'stationary', 'approach', 'we', 'determine', 'precisely', 'the', 'leading', 'terms', 'of', 'the', 'highenergy', 'asymptotic', 'expansion', 'of', 'the', 'scattering', 'matrix', 'that', 'in', 'turn', 'permit', 'us', 'to', 'recover', 'uniquely', 'the', 'mass', 'of', 'the', 'black', 'hole', 'and', 'its', 'charge', 'up', 'to', 'a', 'sign']] | [-0.11103789949969899, 0.10587204717880776, -0.10079437926892311, 0.08837943073294516, -0.07584130181179892, -0.05234317338815139, 0.05003861237445005, 0.288845578178523, -0.23233700758071557, -0.2707660817390969, 0.07779986100579281, -0.30377641529400623, -0.1320973576437081, 0.14967330106564106, -0.003066657580934735, 0.03491821882010798, -0.0018741037591450637, 0.07492294850488825, -0.1291706270703505, -0.18731163017031166, 0.3893458380198647, 0.059389044876180346, 0.2142468418422786, 0.04532240792327831, 0.10133516756937869, 0.046851819561373804, 0.015906372319741714, 0.022562195742202383, -0.14631564988902088, 0.12277895864474797, 0.2174783301044015, 0.0638448484542389, 0.16259117015156774, -0.4012041727922136, -0.17847803065312967, 0.09053003598725604, 0.2059262602800323, 0.13501216635678806, -0.0654232538485479, -0.24268235405907035, 0.09406452370627273, -0.2249642511709563, -0.2306502362593047, -0.04086022058336605, -0.0013392160781809399, -0.049052029611512775, -0.2691113763308573, 0.12606885754353098, 0.06727285029163825, -0.12273093487226194, -0.09865516428873243, -0.003092846675445476, -0.012355823445344163, 0.1441376427293665, 0.1461729423833951, 0.015621731099071763, 0.1421126604395648, -0.12533410539054463, -0.09113962910768966, 0.3378726104274392, -0.05976932619007364, -0.1893825306286735, 0.1432808570323452, -0.29690506195108735, -0.05652161555424813, 0.17770507348881615, 0.20939765434952512, 0.20581276948289615, -0.18451617371230836, 0.17036070360618102, -0.05063347842904829, 0.11670120784472074, 0.16492146475901526, 0.04273522176569508, 0.31347804307757365, 0.08954088618197749, 0.04271640009697406, 0.15054410321247433, -0.08886318113053998, -0.056412858096131634, -0.31563308648765087, -0.17869327575974767, -0.15392038430417737, 0.11263763104685612, -0.1418505646436261, -0.22732809113879357, 0.40846244269801724, 0.1849507772393765, 0.2048650499162895, -0.014928437799455659, 0.2239829483291795, 0.14956411385848636, 0.021944396520754503, 0.08733343303714308, 0.30316998676261714, 0.18395121625414299, 0.12563023454840144, -0.2904552592625541, -0.06928468607516299, 0.08482338385956903] |
711.1229 | A Zoll counterexample to a geodesic length conjecture | We construct a counterexample to a conjectured inequality L<2D, relating the
diameter D and the least length L of a nontrivial closed geodesic, for a
Riemannian metric on the 2-sphere. The construction relies on Guillemin's
theorem concerning the existence of Zoll surfaces integrating an arbitrary
infinitesimal odd deformation of the round metric. Thus the round metric is not
optimal for the ratio L/D.
| math.DG math.FA math.MG | we construct a counterexample to a conjectured inequality l2d relating the diameter d and the least length l of a nontrivial closed geodesic for a riemannian metric on the 2sphere the construction relies on guillemins theorem concerning the existence of zoll surfaces integrating an arbitrary infinitesimal odd deformation of the round metric thus the round metric is not optimal for the ratio ld | [['we', 'construct', 'a', 'counterexample', 'to', 'a', 'conjectured', 'inequality', 'l2d', 'relating', 'the', 'diameter', 'd', 'and', 'the', 'least', 'length', 'l', 'of', 'a', 'nontrivial', 'closed', 'geodesic', 'for', 'a', 'riemannian', 'metric', 'on', 'the', '2sphere', 'the', 'construction', 'relies', 'on', 'guillemins', 'theorem', 'concerning', 'the', 'existence', 'of', 'zoll', 'surfaces', 'integrating', 'an', 'arbitrary', 'infinitesimal', 'odd', 'deformation', 'of', 'the', 'round', 'metric', 'thus', 'the', 'round', 'metric', 'is', 'not', 'optimal', 'for', 'the', 'ratio', 'ld']] | [-0.2420244947785423, 0.08432982776832346, -0.10818926613068297, 0.08373314745554197, -0.10426243325133645, -0.19529991775810246, 0.018613684204562258, 0.2813053985259363, -0.2283028732571337, -0.21893722927641301, 0.10730073585485418, -0.2923343652593238, -0.15305510818189572, 0.18974109677716144, -0.12664097241525138, 0.04734089000830575, 0.04141194979468035, 0.10722952555783744, -0.09410643372462973, -0.25952545065610183, 0.37438412522157977, 0.017454728432413604, 0.2518179317906735, 0.11699791070783422, 0.16990530389612393, 0.050142471264633864, -0.024892126357862875, 0.04833747534864834, -0.22989074804539245, 0.14659902057980026, 0.17763359010929153, 0.09434833399774063, 0.1950733737635707, -0.3416020143777132, -0.15215166213890788, 0.16509333752568753, 0.07925036529611264, 0.021442127162738453, 0.023269751319839133, -0.25370862606971983, 0.09387928397128624, -0.05723689454755494, -0.2235717699670839, -0.009414547123014927, 0.09912746254768637, -0.06370516742269199, -0.22209963914642614, 0.0065058259707358145, 0.18170910293147677, 0.049561290380855404, -0.08056589124339913, -0.06983094890084532, -0.035239798356852835, 0.08703896734449598, 0.03999201380943377, 0.11030470727691574, 0.07070478504996687, -0.009508216916213907, -0.10100376017351029, 0.3093120404001739, -0.06153791924081151, -0.30498343522823046, 0.0698581984089244, -0.09496001265056077, -0.11786086700620159, 0.11303225888441952, 0.1394835872398246, 0.1852083074789132, -0.060651723458062086, 0.18167538531327856, -0.1043348146513814, 0.1220522163110593, 0.1787243847779575, -0.02924849855757895, 0.12104396393433922, 0.09585232233502976, 0.1820756329430474, 0.14331155962177686, -0.019287513938569832, -0.08562073456345215, -0.40155950697907616, -0.21593770284680575, -0.19423877927363806, 0.20038107869474933, -0.2248761417149725, -0.21828305789284289, 0.32639620420596904, -0.04130545263696048, 0.19477859116528953, 0.1523613469704749, 0.21864213119260967, 0.028594370443551315, 0.038668407703794185, 0.11655682522807241, 0.20060208672842395, 0.19510928105511186, -0.020735492116756855, -0.1811061264459221, 0.01024759534953369, 0.21579990976504862] |
711.123 | An algebraic and graph theoretical framework to study monomial dynamical
systems over a finite field | An n dimensional monomial dynamical system over a finite field K is a
nonlinear deterministic time discrete dynamical system with the property that
each of the n component functions is a monic nonzero monomial function in n
variables. In this paper we provide an algebraic and graph theoretic framework
to study the dynamic properties of monomial dynamical systems over a finite
field. Within this framework, characterization theorems for fixed point systems
(systems in which all trajectories end in steady states) are proved. In
particular, we present an algorithm of polynomial complexity to test whether a
given monomial dynamical system over a finite field is a fixed point system.
Furthermore, theorems that complement previous work are presented and
alternative proofs to previous results are supplied.
| math.DS nlin.CG | an n dimensional monomial dynamical system over a finite field k is a nonlinear deterministic time discrete dynamical system with the property that each of the n component functions is a monic nonzero monomial function in n variables in this paper we provide an algebraic and graph theoretic framework to study the dynamic properties of monomial dynamical systems over a finite field within this framework characterization theorems for fixed point systems systems in which all trajectories end in steady states are proved in particular we present an algorithm of polynomial complexity to test whether a given monomial dynamical system over a finite field is a fixed point system furthermore theorems that complement previous work are presented and alternative proofs to previous results are supplied | [['an', 'n', 'dimensional', 'monomial', 'dynamical', 'system', 'over', 'a', 'finite', 'field', 'k', 'is', 'a', 'nonlinear', 'deterministic', 'time', 'discrete', 'dynamical', 'system', 'with', 'the', 'property', 'that', 'each', 'of', 'the', 'n', 'component', 'functions', 'is', 'a', 'monic', 'nonzero', 'monomial', 'function', 'in', 'n', 'variables', 'in', 'this', 'paper', 'we', 'provide', 'an', 'algebraic', 'and', 'graph', 'theoretic', 'framework', 'to', 'study', 'the', 'dynamic', 'properties', 'of', 'monomial', 'dynamical', 'systems', 'over', 'a', 'finite', 'field', 'within', 'this', 'framework', 'characterization', 'theorems', 'for', 'fixed', 'point', 'systems', 'systems', 'in', 'which', 'all', 'trajectories', 'end', 'in', 'steady', 'states', 'are', 'proved', 'in', 'particular', 'we', 'present', 'an', 'algorithm', 'of', 'polynomial', 'complexity', 'to', 'test', 'whether', 'a', 'given', 'monomial', 'dynamical', 'system', 'over', 'a', 'finite', 'field', 'is', 'a', 'fixed', 'point', 'system', 'furthermore', 'theorems', 'that', 'complement', 'previous', 'work', 'are', 'presented', 'and', 'alternative', 'proofs', 'to', 'previous', 'results', 'are', 'supplied']] | [-0.19928277395956684, 0.0893501712983585, -0.14044303193147625, 0.0018391188435001118, -0.032011274458660234, -0.1495678010471766, 0.01664654434669853, 0.3342315920388266, -0.30787865522753205, -0.2071684007795768, 0.07819056634381864, -0.2398477329481994, -0.15796125703303504, 0.20218254789529788, -0.0693247935212698, 0.08232798367258042, 0.04004567256197333, 0.0649033087334359, -0.07807747444378273, -0.31073002778899655, 0.33466192942691003, -0.01058776512171232, 0.2023360949730681, -0.0030540483252656076, 0.11192920415722314, 0.009264457662920318, 0.00034019935710896405, 0.04697487441514949, -0.13276583927501867, 0.060334048885007145, 0.2877238864321337, 0.13311260267941943, 0.29429165651691297, -0.3835133549216534, -0.20145803228801779, 0.17284574889908394, 0.14630858749226336, 0.09046638571007568, -0.02170036910402198, -0.20696324868608387, 0.1370708069711503, -0.17374355938555974, -0.18309810081583208, -0.07375191988783979, 0.051751465501917164, 0.029310985117204365, -0.30597754040612807, -0.010211413666125267, 0.1167105524040263, 0.15969971982732176, -0.061815143634204664, -0.08115596041334944, 0.025547603103933076, 0.0675074172454075, -0.03810707553132107, 0.05673501356091771, 0.06635949033267435, -0.09164118670724425, -0.15147202264145768, 0.3364427966110769, -0.058662121015180264, -0.22470042436954477, 0.18350864852583337, -0.13744909943066416, -0.16934226466447957, 0.12338904907641511, 0.1680082944822648, 0.1574147569096362, -0.1575116245827127, 0.16023412413215415, -0.11417825101318979, 0.1654141099486057, 0.014486179317182471, 0.04235616133307978, 0.16820872360239586, 0.12366411791205587, 0.1001527976402412, 0.16194718865294672, 0.0603254929273164, -0.11629909627334846, -0.3335359283317361, -0.15248820433137758, -0.17285117993014865, 0.06291253625174924, -0.12243554752762241, -0.18794765252800238, 0.4003378441857715, 0.13071319048298569, 0.17988780948273356, 0.109838167981868, 0.2816235856753924, 0.1427338703295156, -0.030502873675657377, 0.07522623545505226, 0.1261376291513443, 0.16788010112377966, 0.05132394791824833, -0.16777326716035004, -0.00793461635100445, 0.14251815126232442] |
711.1231 | Optimizing Latency and Reliability of Pipeline Workflow Applications | Mapping applications onto heterogeneous platforms is a difficult challenge,
even for simple application patterns such as pipeline graphs. The problem is
even more complex when processors are subject to failure during the execution
of the application. In this paper, we study the complexity of a bi-criteria
mapping which aims at optimizing the latency (i.e., the response time) and the
reliability (i.e., the probability that the computation will be successful) of
the application. Latency is minimized by using faster processors, while
reliability is increased by replicating computations on a set of processors.
However, replication increases latency (additional communications, slower
processors). The application fails to be executed only if all the processors
fail during execution. While simple polynomial algorithms can be found for
fully homogeneous platforms, the problem becomes NP-hard when tackling
heterogeneous platforms. This is yet another illustration of the additional
complexity added by heterogeneity.
| cs.DC | mapping applications onto heterogeneous platforms is a difficult challenge even for simple application patterns such as pipeline graphs the problem is even more complex when processors are subject to failure during the execution of the application in this paper we study the complexity of a bicriteria mapping which aims at optimizing the latency ie the response time and the reliability ie the probability that the computation will be successful of the application latency is minimized by using faster processors while reliability is increased by replicating computations on a set of processors however replication increases latency additional communications slower processors the application fails to be executed only if all the processors fail during execution while simple polynomial algorithms can be found for fully homogeneous platforms the problem becomes nphard when tackling heterogeneous platforms this is yet another illustration of the additional complexity added by heterogeneity | [['mapping', 'applications', 'onto', 'heterogeneous', 'platforms', 'is', 'a', 'difficult', 'challenge', 'even', 'for', 'simple', 'application', 'patterns', 'such', 'as', 'pipeline', 'graphs', 'the', 'problem', 'is', 'even', 'more', 'complex', 'when', 'processors', 'are', 'subject', 'to', 'failure', 'during', 'the', 'execution', 'of', 'the', 'application', 'in', 'this', 'paper', 'we', 'study', 'the', 'complexity', 'of', 'a', 'bicriteria', 'mapping', 'which', 'aims', 'at', 'optimizing', 'the', 'latency', 'ie', 'the', 'response', 'time', 'and', 'the', 'reliability', 'ie', 'the', 'probability', 'that', 'the', 'computation', 'will', 'be', 'successful', 'of', 'the', 'application', 'latency', 'is', 'minimized', 'by', 'using', 'faster', 'processors', 'while', 'reliability', 'is', 'increased', 'by', 'replicating', 'computations', 'on', 'a', 'set', 'of', 'processors', 'however', 'replication', 'increases', 'latency', 'additional', 'communications', 'slower', 'processors', 'the', 'application', 'fails', 'to', 'be', 'executed', 'only', 'if', 'all', 'the', 'processors', 'fail', 'during', 'execution', 'while', 'simple', 'polynomial', 'algorithms', 'can', 'be', 'found', 'for', 'fully', 'homogeneous', 'platforms', 'the', 'problem', 'becomes', 'nphard', 'when', 'tackling', 'heterogeneous', 'platforms', 'this', 'is', 'yet', 'another', 'illustration', 'of', 'the', 'additional', 'complexity', 'added', 'by', 'heterogeneity']] | [-0.18377013582681279, 0.06873561068965096, -0.028637689295768116, 0.0530229937471126, -0.08112957879752179, -0.18387506389667074, 0.07885201898574855, 0.3919193888238321, -0.2986470908508636, -0.3342732571796255, 0.16388693432721388, -0.23061631310782912, -0.1650234689328095, 0.2287548969874883, -0.10622491335521368, 0.09402438841708419, 0.11266323130338504, 0.027168149975801095, -0.03707768915046472, -0.3406170693407249, 0.23200034170359787, 0.0756794318149332, 0.2805242380580037, 0.05294441071034978, 0.04086390803826766, -0.00016145673321766985, 0.015507865849132132, 0.02341666677643338, -0.03471659078165127, 0.10907029970904761, 0.31442470588404425, 0.1918438754865848, 0.34822079637605285, -0.47793017748174155, -0.1730510860021847, 0.14129511704151002, 0.1701307164330501, 0.0849837504396823, -0.007518076376375878, -0.21222188599252453, 0.10597256679223695, -0.16394560668979669, -0.06957440140346687, -0.06054693845928543, 0.03839793887649042, 0.015542041639693908, -0.25490254745171925, 0.009703266938837865, 0.01860219467036788, 0.03408019810578682, 0.003724124835571274, -0.047482707667061023, 0.04387650002576669, 0.1487038854154687, 0.010645493867590025, 0.045515772954483204, 0.1415462237265375, -0.14608407242081334, -0.12621951192462197, 0.43102413007161683, 0.012561904906760901, -0.1933452838113428, 0.1963405543873604, -0.03096780010511995, -0.1724314669952744, 0.13567310843306282, 0.21418283364295754, 0.06947079463781039, -0.15759340887537596, 0.09480788145083352, 0.04176438676141617, 0.19988264232718697, 0.07678480532033266, 0.013985585474680798, 0.15696517703084586, 0.24654465184883317, 0.1279032609858809, 0.173569178587867, -0.012431019330203222, -0.07174155736639579, -0.22305443167634723, -0.16609715663232943, -0.22409359482036154, 0.015251272742817592, -0.11045053136563689, -0.11456712286194994, 0.358679326776635, 0.15766010723503618, 0.15187050863884602, 0.13494880826248037, 0.4073087401274178, 0.100016364360575, 0.11480519914120021, 0.15807401288637063, 0.12340696544237693, 0.019038896048894256, 0.11410408141738218, -0.20705575077833296, 0.162571103890918, -0.02681210879301135] |
711.1232 | Wide-Field Survey of Globular Clusters in M31. II. Kinematics of the
Globular Cluster System | We present a kinematic analysis of the globular cluster(GC) system in M31.
Using the photometric and spectroscopic database of 504 GCs, we have
investigated the kinematics of the M31 GC system. We find that the all GC
system shows strong rotation, with rotation amplitude of v_rot~190km/s, and
that a weak rotation persists even for the outermost samples at |Y|>5kpc. The
rotation-corrected velocity dispersion for the GC system is estimated to be
sigma_{p,r}~130km/s, and it increases from sigma_{p,r}~120km/s at |Y|<1kpc to
sigma_{p,r}~150km/s at |Y|>5kpc. These results are very similar to those for
the metal-poor GCs. This shows that there is a dynamically hot halo in M31 that
is rotating but primarily pressure-supported. We have identified 50
"friendless" GCs, and they appear to rotate around the major axis of M31. For
the subsamples of metal-poor and metal-rich GCs, we have found that the
metal-rich GCs are more centrally concentrated than the metal-poor GCs, and
both subsamples show strong rotation. For the subsamples of bright and faint
GCs, it is found that the rotation for the faint GCs is stronger than that for
the bright GCs. We have identified 56 GCs and GC candidates with X-ray
detection. It is found that the majority of X-ray emitting GCs follow the disk
rotation, and that the redder, more metal-rich, and brighter GCs are more
likely to be detected as X-ray emitting GCs. We have derived a rotation curve
of M31 using the GCs at |Y|<0.6kpc. We have estimated the dynamical mass of M31
using `Projected Mass Estimator(PME)' and `Tracer Mass Estimator(TME)'. We
finally discuss the implication of these results and compare the kinematics of
GCs with that of planetary nebulae in M31.
| astro-ph | we present a kinematic analysis of the globular clustergc system in m31 using the photometric and spectroscopic database of 504 gcs we have investigated the kinematics of the m31 gc system we find that the all gc system shows strong rotation with rotation amplitude of v_rot190kms and that a weak rotation persists even for the outermost samples at y5kpc the rotationcorrected velocity dispersion for the gc system is estimated to be sigma_pr130kms and it increases from sigma_pr120kms at y1kpc to sigma_pr150kms at y5kpc these results are very similar to those for the metalpoor gcs this shows that there is a dynamically hot halo in m31 that is rotating but primarily pressuresupported we have identified 50 friendless gcs and they appear to rotate around the major axis of m31 for the subsamples of metalpoor and metalrich gcs we have found that the metalrich gcs are more centrally concentrated than the metalpoor gcs and both subsamples show strong rotation for the subsamples of bright and faint gcs it is found that the rotation for the faint gcs is stronger than that for the bright gcs we have identified 56 gcs and gc candidates with xray detection it is found that the majority of xray emitting gcs follow the disk rotation and that the redder more metalrich and brighter gcs are more likely to be detected as xray emitting gcs we have derived a rotation curve of m31 using the gcs at y06kpc we have estimated the dynamical mass of m31 using projected mass estimatorpme and tracer mass estimatortme we finally discuss the implication of these results and compare the kinematics of gcs with that of planetary nebulae in m31 | [['we', 'present', 'a', 'kinematic', 'analysis', 'of', 'the', 'globular', 'clustergc', 'system', 'in', 'm31', 'using', 'the', 'photometric', 'and', 'spectroscopic', 'database', 'of', '504', 'gcs', 'we', 'have', 'investigated', 'the', 'kinematics', 'of', 'the', 'm31', 'gc', 'system', 'we', 'find', 'that', 'the', 'all', 'gc', 'system', 'shows', 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711.1233 | Estimating the number of negative eigenvalues of a relativistic
Hamiltonian with regular magnetic field | We prove the analog of the Cwickel-Lieb-Rosenblum estimation for the number
of negative eigenvalues of a relativistic Hamiltonian with magnetic field $B\in
C^\infty_{\rm{pol}}(\mathbb R^d)$ and an electric potential $V\in
L^1_{\rm{loc}}(\mathbb R^d)$, $V_-\in L^d(\mathbb R^d)\cap L^{d/2}(\mathbb
R^d)$. Compared to the nonrelativistic case, this estimation involves both
norms of $V_-$ in $L^{d/2}(\mathbb R^d)$ and in $L^{d}(\mathbb R^d)$. A direct
consequence is a Lieb-Thirring inequality for the sum of powers of the absolute
values of the negative eigenvalues.
| math-ph math.MP | we prove the analog of the cwickelliebrosenblum estimation for the number of negative eigenvalues of a relativistic hamiltonian with magnetic field bin cinfty_rmpolmathbb rd and an electric potential vin l1_rmlocmathbb rd v_in ldmathbb rdcap ld2mathbb rd compared to the nonrelativistic case this estimation involves both norms of v_ in ld2mathbb rd and in ldmathbb rd a direct consequence is a liebthirring inequality for the sum of powers of the absolute values of the negative eigenvalues | [['we', 'prove', 'the', 'analog', 'of', 'the', 'cwickelliebrosenblum', 'estimation', 'for', 'the', 'number', 'of', 'negative', 'eigenvalues', 'of', 'a', 'relativistic', 'hamiltonian', 'with', 'magnetic', 'field', 'bin', 'cinfty_rmpolmathbb', 'rd', 'and', 'an', 'electric', 'potential', 'vin', 'l1_rmlocmathbb', 'rd', 'v_in', 'ldmathbb', 'rdcap', 'ld2mathbb', 'rd', 'compared', 'to', 'the', 'nonrelativistic', 'case', 'this', 'estimation', 'involves', 'both', 'norms', 'of', 'v_', 'in', 'ld2mathbb', 'rd', 'and', 'in', 'ldmathbb', 'rd', 'a', 'direct', 'consequence', 'is', 'a', 'liebthirring', 'inequality', 'for', 'the', 'sum', 'of', 'powers', 'of', 'the', 'absolute', 'values', 'of', 'the', 'negative', 'eigenvalues']] | [-0.16057379570776137, 0.10475862923308539, -0.016395770047075937, 0.011247526891394586, -0.006222236955511397, -0.09236890499385586, -0.012715177799480549, 0.31829237592055637, -0.21726097393295038, -0.214442094086089, 0.08730713321584398, -0.32309819504186726, -0.0765120096747642, 0.1775737964156745, -0.0386913875117898, 0.07201616355218837, 0.021095154496530693, 0.10165612375282723, -0.08156425062148576, -0.18074561199308306, 0.30860940102433815, -0.025956234246816322, 0.19859390073469368, 0.09221783979539422, 0.07944164325928559, 0.020312490036198193, -0.009881351251101149, 0.02260113168048902, -0.14562095087983282, 0.1257342370159492, 0.19873702712357044, 0.08866852717271642, 0.3173575732937973, -0.35462171645106183, -0.13826859725868682, 0.2179862121525018, 0.13041099236495252, 0.012758076015481915, -0.06731576779249894, -0.2895518759690711, 0.05784978953095666, -0.13944254819627688, -0.1774481567621663, -0.007463632448427919, 0.075389973490256, 0.0577752988083639, -0.4145456558444362, 0.08523048378824108, 0.06481689595333907, 0.04723890873509041, -0.11379763188070037, -0.2067449679463238, 0.030447539670959763, 0.0741650102849024, 0.05101837742520307, 0.07881002833364882, 0.06693645470195274, -0.12107480175293767, -0.11733875393300601, 0.3718235272968161, -0.07989932328928262, -0.24816567006696394, 0.07817404518794754, -0.23959215513794965, -0.09505786507835855, 0.07516156091098336, 0.18522171850275734, 0.0908911525460797, -0.07397101685890685, 0.17159237468149513, -0.03552808747559354, 0.06123388705748147, 0.05517450354291477, 0.024263811041263565, 0.1154866944188657, 0.10310844458855581, 0.18057367910185587, 0.08329540034891039, -0.07312106038696821, -0.037294694573443005, -0.38711402468059375, -0.217364348464416, -0.21959442286279754, 0.0965842368837068, -0.1554189965076596, -0.1710094259376975, 0.35768094663238287, 0.06533379114462413, 0.16589761126543517, 0.07209713007930828, 0.24712911113232805, 0.17578638319358014, 0.0012241237850832767, 0.05278406550675847, 0.20504132856992816, 0.1919769095391899, 0.10764778209715217, -0.2288452966047613, -0.005827242036120615, 0.10739754961695576] |
711.1234 | HI power spectrum of the spiral galaxy NGC628 | We have measured the HI power spectrum of the nearly face-on spiral galaxy
NGC628 (M74) using a visibility based estimator. The power spectrum is well
fitted by a power law $P(U)=AU^{\alpha}$, with $\alpha =- 1.6\pm0.2$ over the
length scale $800 {\rm pc} {\rm to} 8 {\rm kpc}$. The slope is found to be
independent of the width of the velocity channel. This value of the slope is a
little more than one in excess of what has been seen at considerably smaller
length scales in the Milky-Way, Small Magellanic Cloud (LMC), Large Magellanic
Cloud (SMC) and the dwarf galaxy DDO210. We interpret this difference as
indicating a transition from three dimensional turbulence at small scales to
two dimensional turbulence in the plane of the galaxy's disk at length scales
larger than galaxy's HI scale height.
The slope measured here is similar to that found at large scales in the LMC.
Our analysis also places an upper limit to the galaxy's scale height at $800\
{\rm pc}$ .
| astro-ph | we have measured the hi power spectrum of the nearly faceon spiral galaxy ngc628 m74 using a visibility based estimator the power spectrum is well fitted by a power law puaualpha with alpha 16pm02 over the length scale 800 rm pc rm to 8 rm kpc the slope is found to be independent of the width of the velocity channel this value of the slope is a little more than one in excess of what has been seen at considerably smaller length scales in the milkyway small magellanic cloud lmc large magellanic cloud smc and the dwarf galaxy ddo210 we interpret this difference as indicating a transition from three dimensional turbulence at small scales to two dimensional turbulence in the plane of the galaxys disk at length scales larger than galaxys hi scale height the slope measured here is similar to that found at large scales in the lmc our analysis also places an upper limit to the galaxys scale height at 800 rm pc | [['we', 'have', 'measured', 'the', 'hi', 'power', 'spectrum', 'of', 'the', 'nearly', 'faceon', 'spiral', 'galaxy', 'ngc628', 'm74', 'using', 'a', 'visibility', 'based', 'estimator', 'the', 'power', 'spectrum', 'is', 'well', 'fitted', 'by', 'a', 'power', 'law', 'puaualpha', 'with', 'alpha', '16pm02', 'over', 'the', 'length', 'scale', '800', 'rm', 'pc', 'rm', 'to', '8', 'rm', 'kpc', 'the', 'slope', 'is', 'found', 'to', 'be', 'independent', 'of', 'the', 'width', 'of', 'the', 'velocity', 'channel', 'this', 'value', 'of', 'the', 'slope', 'is', 'a', 'little', 'more', 'than', 'one', 'in', 'excess', 'of', 'what', 'has', 'been', 'seen', 'at', 'considerably', 'smaller', 'length', 'scales', 'in', 'the', 'milkyway', 'small', 'magellanic', 'cloud', 'lmc', 'large', 'magellanic', 'cloud', 'smc', 'and', 'the', 'dwarf', 'galaxy', 'ddo210', 'we', 'interpret', 'this', 'difference', 'as', 'indicating', 'a', 'transition', 'from', 'three', 'dimensional', 'turbulence', 'at', 'small', 'scales', 'to', 'two', 'dimensional', 'turbulence', 'in', 'the', 'plane', 'of', 'the', 'galaxys', 'disk', 'at', 'length', 'scales', 'larger', 'than', 'galaxys', 'hi', 'scale', 'height', 'the', 'slope', 'measured', 'here', 'is', 'similar', 'to', 'that', 'found', 'at', 'large', 'scales', 'in', 'the', 'lmc', 'our', 'analysis', 'also', 'places', 'an', 'upper', 'limit', 'to', 'the', 'galaxys', 'scale', 'height', 'at', '800', 'rm', 'pc']] | [-0.09981686843516813, 0.09675849336137728, -0.09861767763328372, 0.09567438391827499, -0.05390211923725226, -0.04751687124935967, -0.010852280834859068, 0.374956343735032, -0.2531572453790542, -0.3397673936391419, 0.03090079297368048, -0.2896517354317687, 0.02433643133351297, 0.22701521950040127, 0.015091155205542843, -0.013326309079473669, -0.019842270383554877, -0.0352242772298103, -0.04186379032519957, -0.23416220489889383, 0.26821901264290016, 0.11397114834240214, 0.19446815899996595, -0.020972822188879504, 0.06742297302733993, -0.14034623866618584, -0.023349384647427182, 0.003141816189004616, -0.18716105787867546, 0.045360020500128016, 0.21265828301565665, 0.0366758719315509, 0.21912575479540408, -0.3212256881493059, -0.17901228965951524, 0.06903283083388075, 0.233328626544751, 0.021061394750281716, 0.019495506421927447, -0.23103521732669888, 0.13086233582756848, -0.18634055544918574, -0.2023160424732575, 0.13972585694688006, 0.10868635088431113, -0.011878311106314262, -0.2138966680606686, 0.16944315378169642, -0.016786466639799377, 0.15089360596735565, -0.010987511991212765, -0.1298938817034165, -0.03741173597165581, 0.05675427226039271, 0.051007508025786866, 0.1006462586775535, 0.20533613889393482, -0.12152676608697441, 0.033009198759541364, 0.4058361425544276, -0.0955010322651078, -0.008390026621407632, 0.1775199221154308, -0.23037833765882887, -0.13728331454154669, 0.14644873391723995, 0.14683371503867393, 0.07709560350071336, -0.08540582606907596, 0.06627348498264891, -0.08921642858591496, 0.30146990728875, 0.08807971100464011, 0.06286103085378382, 0.2420985990514358, 0.1343529737815543, 0.10430660507020852, 0.09737251408638037, -0.2520506777377291, -0.07734713987870649, -0.23489815493283625, -0.05826163131066344, -0.16395708895358962, 0.09448354266315812, -0.1824724139898811, -0.08724785622096423, 0.3023832723921673, 0.10496989585332234, 0.29942074490880427, 0.11673367562647345, 0.32415333446397476, 0.11318880162963812, 0.1846570849983078, 0.15326532460749148, 0.26712502426270285, 0.14174337167589163, 0.08120451407351842, -0.22420425717542514, 0.059451746331019836, -0.014556334019553932] |
711.1235 | A theory of web traffic | We analyze access statistics of several popular webpages for a period of
several years. The graphs of daily downloads are highly non-homogeneous with
long periods of low activity interrupted by bursts of heavy traffic. These
bursts are due to avalanches of blog entries, referring to the page. We
quantitatively explain this behavior using the theory of branching processes.
We extrapolate these findings to construct a model of the entire web. According
to the model, the competition between webpages for viewers pushes the web into
a self-organized critical state. In this regime, the most interesting webpages
are in a near-critical state, with a power law distribution of traffic
intensity.
| physics.soc-ph cond-mat.stat-mech nlin.AO | we analyze access statistics of several popular webpages for a period of several years the graphs of daily downloads are highly nonhomogeneous with long periods of low activity interrupted by bursts of heavy traffic these bursts are due to avalanches of blog entries referring to the page we quantitatively explain this behavior using the theory of branching processes we extrapolate these findings to construct a model of the entire web according to the model the competition between webpages for viewers pushes the web into a selforganized critical state in this regime the most interesting webpages are in a nearcritical state with a power law distribution of traffic intensity | [['we', 'analyze', 'access', 'statistics', 'of', 'several', 'popular', 'webpages', 'for', 'a', 'period', 'of', 'several', 'years', 'the', 'graphs', 'of', 'daily', 'downloads', 'are', 'highly', 'nonhomogeneous', 'with', 'long', 'periods', 'of', 'low', 'activity', 'interrupted', 'by', 'bursts', 'of', 'heavy', 'traffic', 'these', 'bursts', 'are', 'due', 'to', 'avalanches', 'of', 'blog', 'entries', 'referring', 'to', 'the', 'page', 'we', 'quantitatively', 'explain', 'this', 'behavior', 'using', 'the', 'theory', 'of', 'branching', 'processes', 'we', 'extrapolate', 'these', 'findings', 'to', 'construct', 'a', 'model', 'of', 'the', 'entire', 'web', 'according', 'to', 'the', 'model', 'the', 'competition', 'between', 'webpages', 'for', 'viewers', 'pushes', 'the', 'web', 'into', 'a', 'selforganized', 'critical', 'state', 'in', 'this', 'regime', 'the', 'most', 'interesting', 'webpages', 'are', 'in', 'a', 'nearcritical', 'state', 'with', 'a', 'power', 'law', 'distribution', 'of', 'traffic', 'intensity']] | [-0.13351292824814595, 0.15717050078738895, -0.07159436407662859, 0.09309543128754874, -0.07661298206464077, -0.1192378120591726, 0.11757869188376288, 0.3813030204942657, -0.2601743263194631, -0.3103570138897609, 0.08343307693980427, -0.3551944236422531, -0.11434051882544602, 0.20124997164088268, -0.05456612760597771, 0.02499808106006606, 0.026637618154011392, 0.05121577589738148, 0.011071043425343104, -0.26661505563512305, 0.27404914183231693, 0.053556330010501876, 0.3209663354705467, 0.03304095242465674, 0.03339044518630813, -0.04944573831528908, -0.058659346296971546, -0.018668166988626816, -0.10425109470465772, 0.13062173477697392, 0.27749073521570405, 0.11888618225283507, 0.24243302043975778, -0.435624566377589, -0.22024228573017926, 0.09204904726464991, 0.11764721693557308, 0.07348889984940696, -0.008648444139571101, -0.2996594403284015, 0.1011407381350485, -0.22025696531421057, -0.09794407067346145, -0.04250542515203253, 0.08083380820850532, 0.09569734941437168, -0.23023479975139102, 0.053630068938084016, 0.011052462444813163, 0.07154329599709147, -0.034191704801438995, -0.02461638917318649, 0.005096675302074464, 0.1904465460813501, 0.1294857049942948, -0.04343362997234282, 0.13241511062046307, -0.170559962180926, -0.13656363740597885, 0.37896337774064803, -0.03197264266459064, -0.09379958230312224, 0.1853999179287779, -0.13482735550496727, -0.1511542865601196, 0.13661164362673406, 0.2403147155591459, 0.08169795851649218, -0.16747535822085208, -0.0137836891460918, -0.03663437615183217, 0.18556728165734698, 0.06556857081078407, -0.011065863271209377, 0.2488323744877966, 0.2068081028000624, 0.009799682983645686, 0.15806979968005586, -0.07943854164073451, -0.12738399768110226, -0.24318767883125003, -0.10762466349707986, -0.1509442904498428, 0.059294846227944446, -0.119275952697973, -0.18078967614133876, 0.45667774291036445, 0.18448033396810018, 0.24216487356978986, 0.06505537212446884, 0.22445219803894698, 0.06595082947535923, 0.04178790274225456, 0.10498739299968023, 0.14437915222650324, 0.06888744634515778, 0.21604403084212984, -0.13031963833297291, 0.11339834980511417, 0.037552820777313575] |
711.1236 | Maximum principle and convergence of fundamental solutions for the Ricci
flow | In this paper we will prove a maximum principle for the solutions of linear
parabolic equation on complete non-compact manifolds with a time varying
metric. We will prove the convergence of the Neumann Green function of the
conjugate heat equation for the Ricci flow in $B_k\times (0,T)$ to the minimal
fundamental solution of the conjugate heat equation as $k\to\infty$. We will
prove the uniqueness of the fundamental solution under some exponential decay
assumption on the fundamental solution. We will also give a detail proof of the
convergence of the fundamental solutions of the conjugate heat equation for a
sequence of pointed Ricci flow $(M_k\times (-\alpha,0],x_k,g_k)$ to the
fundamental solution of the limit manifold as $k\to\infty$ which was used
without proof by Perelman in his proof of the pseudolocality theorem for Ricci
flow.
| math.DG | in this paper we will prove a maximum principle for the solutions of linear parabolic equation on complete noncompact manifolds with a time varying metric we will prove the convergence of the neumann green function of the conjugate heat equation for the ricci flow in b_ktimes 0t to the minimal fundamental solution of the conjugate heat equation as ktoinfty we will prove the uniqueness of the fundamental solution under some exponential decay assumption on the fundamental solution we will also give a detail proof of the convergence of the fundamental solutions of the conjugate heat equation for a sequence of pointed ricci flow m_ktimes alpha0x_kg_k to the fundamental solution of the limit manifold as ktoinfty which was used without proof by perelman in his proof of the pseudolocality theorem for ricci flow | [['in', 'this', 'paper', 'we', 'will', 'prove', 'a', 'maximum', 'principle', 'for', 'the', 'solutions', 'of', 'linear', 'parabolic', 'equation', 'on', 'complete', 'noncompact', 'manifolds', 'with', 'a', 'time', 'varying', 'metric', 'we', 'will', 'prove', 'the', 'convergence', 'of', 'the', 'neumann', 'green', 'function', 'of', 'the', 'conjugate', 'heat', 'equation', 'for', 'the', 'ricci', 'flow', 'in', 'b_ktimes', '0t', 'to', 'the', 'minimal', 'fundamental', 'solution', 'of', 'the', 'conjugate', 'heat', 'equation', 'as', 'ktoinfty', 'we', 'will', 'prove', 'the', 'uniqueness', 'of', 'the', 'fundamental', 'solution', 'under', 'some', 'exponential', 'decay', 'assumption', 'on', 'the', 'fundamental', 'solution', 'we', 'will', 'also', 'give', 'a', 'detail', 'proof', 'of', 'the', 'convergence', 'of', 'the', 'fundamental', 'solutions', 'of', 'the', 'conjugate', 'heat', 'equation', 'for', 'a', 'sequence', 'of', 'pointed', 'ricci', 'flow', 'm_ktimes', 'alpha0x_kg_k', 'to', 'the', 'fundamental', 'solution', 'of', 'the', 'limit', 'manifold', 'as', 'ktoinfty', 'which', 'was', 'used', 'without', 'proof', 'by', 'perelman', 'in', 'his', 'proof', 'of', 'the', 'pseudolocality', 'theorem', 'for', 'ricci', 'flow']] | [-0.16445985615484474, 0.03640564114339072, -0.13923255030729975, 0.06267841447996654, -0.113634872508358, -0.12326421196637459, 0.014772327813543668, 0.27039210829891036, -0.3031500935583383, -0.19640293334747932, 0.1759320473859751, -0.28913481737840774, -0.10809839413638493, 0.2032533448709305, -0.11098732654539537, 0.11010358267185791, 0.09087225781075021, 0.1093505780652974, -0.0754839005778984, -0.22681054857545063, 0.3821593805454498, -0.02689499872946, 0.25621566017584285, 0.12815750766565387, 0.1644685873148111, -0.04047788457598451, 0.009632546848133784, -0.014354347507649846, -0.23770167020893143, 0.08189173420356918, 0.20719600016568868, 0.09578574472828949, 0.28748608940071607, -0.3911962340362081, -0.20605875330240747, 0.16070592542027318, 0.1725122392919391, 0.06796080868081153, -0.05739829702981452, -0.2615775882389194, 0.0919203615653538, -0.07398814578313208, -0.21346783290424046, -0.06897622600284427, -0.00631704777767954, 0.07290776831985907, -0.2309561479519042, 0.09528115136677927, 0.14623135675553434, 0.01860065535505035, -0.12233839198304412, -0.08076117287729254, -0.018874847164103228, 0.06846762730111909, 0.08988225978416528, 0.01747875005122303, 0.056979502392427404, -0.09261055177893461, -0.050331686049439876, 0.3324341854484853, -0.15724330423616392, -0.27336726700092934, 0.10319174874877167, -0.11314499095558773, -0.1302111807392997, 0.05349740077734225, 0.15332730521417273, 0.18871090735142776, -0.1367336757275341, 0.13644490855233382, -0.06345255317729573, 0.09797355518929025, 0.11272374480645093, -0.020435990661007257, 0.08970023373271836, 0.13946288438196214, 0.19310452964503405, 0.1557335944434758, 0.02521508214850874, -0.10417236778307562, -0.4000817450095517, -0.25100962895459616, -0.17895903423890586, 0.19498097838639, -0.15947503713501054, -0.16816181335020666, 0.39167920315941407, 0.05841290458040529, 0.114949331885969, 0.12006191650221427, 0.2465878980840708, 0.15692159728248165, -0.025576119163153013, 0.12921240106183277, 0.22765550646292904, 0.2225380830878262, 0.16712817242693936, -0.21937395842356044, -0.009989546990931727, 0.20856513946800848] |
711.1237 | Phenomenology of turbulent dynamo growth and saturation | With a non local shell model of magnetohydrodynamic turbulence we investigate
numerically the turbulent dynamo action for low and high magnetic Prandtl
numbers ($Pm$). The results obtained in the kinematic regime and along the way
to dynamo saturation are understood in terms of a phenomenological approach
based on the local ($Pm\ll 1$) or non local ($Pm\gg 1$) nature of the energy
transfers. In both cases the magnetic energy grows at small scale and saturates
as an inverse `` cascade ''.
| astro-ph | with a non local shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic prandtl numbers pm the results obtained in the kinematic regime and along the way to dynamo saturation are understood in terms of a phenomenological approach based on the local pmll 1 or non local pmgg 1 nature of the energy transfers in both cases the magnetic energy grows at small scale and saturates as an inverse cascade | [['with', 'a', 'non', 'local', 'shell', 'model', 'of', 'magnetohydrodynamic', 'turbulence', 'we', 'investigate', 'numerically', 'the', 'turbulent', 'dynamo', 'action', 'for', 'low', 'and', 'high', 'magnetic', 'prandtl', 'numbers', 'pm', 'the', 'results', 'obtained', 'in', 'the', 'kinematic', 'regime', 'and', 'along', 'the', 'way', 'to', 'dynamo', 'saturation', 'are', 'understood', 'in', 'terms', 'of', 'a', 'phenomenological', 'approach', 'based', 'on', 'the', 'local', 'pmll', '1', 'or', 'non', 'local', 'pmgg', '1', 'nature', 'of', 'the', 'energy', 'transfers', 'in', 'both', 'cases', 'the', 'magnetic', 'energy', 'grows', 'at', 'small', 'scale', 'and', 'saturates', 'as', 'an', 'inverse', 'cascade']] | [-0.16906623147093716, 0.1823748047659487, -0.03564376224620411, 0.11671082862915519, -0.0020785463215687717, -0.05590129813525635, -0.0034176617419012846, 0.2875898700589553, -0.2867685172479982, -0.34845279312382144, 0.06162085019213219, -0.22599538976851946, -0.05075383704836266, 0.20517892004751886, 0.02418649520796652, 0.023815094373929195, -0.006330035468682838, 0.016306083004635114, -0.019578884534824353, -0.143298875206174, 0.3162113806614891, 0.0997336649064285, 0.26924336564918167, 0.016087116431803085, 0.09968200315592977, -0.08029847692411679, 0.01613500251028782, 0.05460904562378579, -0.16213051652392516, 0.02567625716806222, 0.15554328761302316, -0.011741846149118666, 0.26412640190205705, -0.46226010366510123, -0.21231790575891352, 0.027727797699089233, 0.1740233103120819, 0.0975004577388366, -0.009139881264836265, -0.1993219992145896, 0.13860108543975422, -0.1707695858935133, -0.13527676528200316, -0.08498361805238976, -0.00010178819633065126, 0.009741581701792968, -0.3221339179943196, 0.15789806028493705, 0.05528145029137914, 0.12661335303579482, -0.12029213750793133, -0.09767086004527907, -0.042148947124727644, 0.07235113386578189, 0.10969231051142113, 0.038559961664036684, 0.15366275067059085, -0.22066019925897798, -0.05826890849633715, 0.3665073689980767, -0.0649054304529459, -0.17294265313420254, 0.21149406740024018, -0.19916834314473164, -0.09103137443964489, 0.14311323110730603, 0.1713355053932621, 0.11731928945160829, -0.044393057690169185, 0.08961266530073211, -0.04111567589167792, 0.11847430345817254, 0.020966872435588486, 0.0021508594091313006, 0.19708382927152948, 0.19317945294703046, 0.04621329672413711, 0.08522498801362534, -0.15039104360263222, -0.07725762273184955, -0.325783185272788, -0.0869938224936143, -0.1673493337465259, 0.07329038265519418, -0.10256192786563098, -0.15170297529309607, 0.35957251040217203, 0.12215298750510183, 0.2061045177292843, 0.05298704638157804, 0.3000785448612311, 0.14095931895262298, 0.008327301436414322, 0.15115217678248882, 0.2706836774133337, 0.18697408894793346, 0.1510201096236228, -0.25905876508794534, -0.006887350657892127, 0.06356846382363866] |
711.1238 | Neutrinos and Lepton Flavour Violation in the Left-Right Twin Higgs
Model | We analyse the lepton sector of the Left-Right Twin Higgs Model. This model
offers an alternative way to solve the "little hierarchy" problem of the
Standard Model. We show that one can achieve an effective see-saw to explain
the origin of neutrino masses and that this model can accommodate the observed
neutrino masses and mixings. We have also studied the lepton flavour violation
process l_1 -> l_2 \gamma and discussed how the experimental bound from these
branching ratios constrains the scale of symmetry breaking of this Twin Higgs
model.
| hep-ph | we analyse the lepton sector of the leftright twin higgs model this model offers an alternative way to solve the little hierarchy problem of the standard model we show that one can achieve an effective seesaw to explain the origin of neutrino masses and that this model can accommodate the observed neutrino masses and mixings we have also studied the lepton flavour violation process l_1 l_2 gamma and discussed how the experimental bound from these branching ratios constrains the scale of symmetry breaking of this twin higgs model | [['we', 'analyse', 'the', 'lepton', 'sector', 'of', 'the', 'leftright', 'twin', 'higgs', 'model', 'this', 'model', 'offers', 'an', 'alternative', 'way', 'to', 'solve', 'the', 'little', 'hierarchy', 'problem', 'of', 'the', 'standard', 'model', 'we', 'show', 'that', 'one', 'can', 'achieve', 'an', 'effective', 'seesaw', 'to', 'explain', 'the', 'origin', 'of', 'neutrino', 'masses', 'and', 'that', 'this', 'model', 'can', 'accommodate', 'the', 'observed', 'neutrino', 'masses', 'and', 'mixings', 'we', 'have', 'also', 'studied', 'the', 'lepton', 'flavour', 'violation', 'process', 'l_1', 'l_2', 'gamma', 'and', 'discussed', 'how', 'the', 'experimental', 'bound', 'from', 'these', 'branching', 'ratios', 'constrains', 'the', 'scale', 'of', 'symmetry', 'breaking', 'of', 'this', 'twin', 'higgs', 'model']] | [-0.07449302441422002, 0.22754164898155563, -0.035899381756528535, 0.23116055913531205, -0.09095107029530812, -0.17987625528687864, 0.05607743325262246, 0.34152336448261683, -0.282034778279591, -0.3160372542386705, 0.03657293475804512, -0.2243707361313599, -0.07858907996705966, 0.09327216680024074, -0.0008740978823466735, 0.06443007158073173, 0.017255416595038365, -0.02266283989460631, -0.06861539340025047, -0.2387942097530785, 0.28657144006204116, 0.04795739444142038, 0.2360207775650038, 0.08334183152659204, 0.07995496829971671, -0.08929816187380558, -0.0017822261857376857, -0.11946988637051122, -0.1133929595216614, 0.11872243069361006, 0.11566578688904304, 0.13994676935676995, 0.0656289541035552, -0.3822119324891405, -0.15487667101181365, 0.22326411406340246, 0.17587372353723782, 0.10338391675296324, -0.08090629963077266, -0.28961900242773647, 0.09718373813666403, -0.23924679366279056, -0.14892206648999656, -0.058427374217320575, -0.08208989157256755, -0.14624199047896333, -0.33616085567469284, 0.09341569493368627, -0.007034936665811322, -0.029223042106340556, 0.0018831918846858157, -0.16755417062350633, -0.02492078800026899, 0.027524101473814386, 0.23025617268384932, -0.04099197897911919, 0.08544268720883834, -0.14649088820442557, -0.19492693011521955, 0.4544360407374122, -0.059805367402573625, -0.17859876205065203, 0.13429095232012597, -0.15285228643386456, -0.16420640839284964, 0.03707150969950652, 0.21577767947350035, 0.046870163969949565, -0.1817414721960879, 0.17327216749981744, -0.152629942802543, 0.16601625057889827, 0.0366194601916835, 0.019554912324317476, 0.2644899378276684, 0.22485587916294622, 0.056648905666820196, 0.029143640221181242, -0.09506920898142694, -0.058103884707882324, -0.4106081549120559, -0.10876261978211749, -0.06494022271363065, 0.034631628143622285, -0.09323205800931399, -0.07942822083978998, 0.4308403433004225, 0.1989594796905294, 0.26896070342891937, 0.05244722728490491, 0.2614173266867345, 0.10656976856460626, 0.09495786903756777, -0.01833017695356499, 0.31519773296630854, 0.1392580266110599, 0.09897577119144527, -0.30196598360767396, 0.01466911622132598, 0.08391906969534996] |
711.1239 | Progress in kaon physics on the lattice | CKM-unitarity, direct and indirect CP-violation and the \Delta I=1/2 rule in
full lattice QCD are the focus of this talk. To this end I will discuss and
compare recent lattice results for leptonic, semi-leptonic and non-leptonic
decays of the kaon and neutral kaon mixing and I will motivate current best
estimates f_K/f_\pi=1.198(10), f_+^{K\pi}(0)=0.964(5) and \hat{B}_K=0.720(39).
Moreover new theoretical advances that will improve the quality of these
computations in the future will be discussed.
| hep-lat hep-ph | ckmunitarity direct and indirect cpviolation and the delta i12 rule in full lattice qcd are the focus of this talk to this end i will discuss and compare recent lattice results for leptonic semileptonic and nonleptonic decays of the kaon and neutral kaon mixing and i will motivate current best estimates f_kf_pi119810 f_kpi009645 and hatb_k072039 moreover new theoretical advances that will improve the quality of these computations in the future will be discussed | [['ckmunitarity', 'direct', 'and', 'indirect', 'cpviolation', 'and', 'the', 'delta', 'i12', 'rule', 'in', 'full', 'lattice', 'qcd', 'are', 'the', 'focus', 'of', 'this', 'talk', 'to', 'this', 'end', 'i', 'will', 'discuss', 'and', 'compare', 'recent', 'lattice', 'results', 'for', 'leptonic', 'semileptonic', 'and', 'nonleptonic', 'decays', 'of', 'the', 'kaon', 'and', 'neutral', 'kaon', 'mixing', 'and', 'i', 'will', 'motivate', 'current', 'best', 'estimates', 'f_kf_pi119810', 'f_kpi009645', 'and', 'hatb_k072039', 'moreover', 'new', 'theoretical', 'advances', 'that', 'will', 'improve', 'the', 'quality', 'of', 'these', 'computations', 'in', 'the', 'future', 'will', 'be', 'discussed']] | [-0.05783436119423381, 0.23882874080778232, -0.0013257593448672976, 0.0880334855622745, -0.13677185167159353, -0.12884431410846967, 0.1200549233521867, 0.3550431867263147, -0.20943212723359467, -0.16635188366552547, 0.08867699539488448, -0.31494464769161173, -0.06666303492550339, 0.14067658324326787, 0.026680554961785674, 0.09143833950428026, 0.13492745169039283, -0.03939347264489957, -0.1424130460613274, -0.2621869742171839, 0.2884312649057912, 0.05086456227914563, 0.19985834250359663, 0.21804120957385748, -0.0811381237115711, -0.022352481520335588, -0.15995070625628743, -0.04244834829920104, -0.21077258140191718, 0.1425174924611513, 0.21189061687993152, 0.16643244715274444, 0.15171559721763644, -0.41494756355282986, -0.09315827128344349, 0.10574737841795598, 0.18901022435165943, 0.13135783695615827, -0.04977118714845606, -0.32030142157205516, 0.10106726445374078, -0.18449837237463465, -0.08074499508365988, -0.14211860454774328, -0.007389314768702856, 0.04216932955064944, -0.33299349703260567, 0.03806539269031158, -0.032020577216254814, 0.00951987582624757, 0.006123527438778962, -0.27489130381228666, 0.07597501975750284, 0.09736366699715811, 0.09717109139798724, 0.06698922268114985, 0.10442831564162458, -0.17481507936359517, -0.19506633892056666, 0.4244438199592488, -0.069592414503651, -0.14862929166494204, 0.13962018308229746, -0.20356103125294403, -0.19512922427883106, 0.04388430534995028, 0.19567421338121807, 0.025885735359042882, -0.16465729447081684, 0.0922633672873157, -0.03997305412444153, 0.10884546971480762, 0.0030217086164546865, 0.06829509864162121, 0.2267969180696777, 0.19474702454837306, 0.0098076581888433, 0.018035404838155956, -0.0618719698262534, -0.04201420617422887, -0.4023030849705849, -0.16867021745336908, -0.08427677692712418, 0.07017974575781928, -0.024916079676768278, -0.03818738278267639, 0.38620075644659146, 0.1812089721406145, 0.2144302658869752, 0.015289630368351936, 0.31915751099586487, 0.04978122452407011, -0.03823951675689646, 0.012163040161664997, 0.3523712431612824, 0.1413608707487583, 0.1646752800077333, -0.2874129279915776, -0.015876674889919482, 0.032129646574945325] |
711.124 | Supersymmetric Dark Matter Candidates - The Lightest Neutralino, the
Gravitino, and the Axino | In supersymmetric extensions of the Standard Model, the lightest neutralino,
the gravitino, and the axino can appear as the lightest supersymmetric particle
and as such provide a compelling explanation of the non-baryonic dark matter in
our Universe. For each of these dark matter candidates, I review the present
status of primordial production mechanisms, cosmological constraints, and
prospects of experimental identification.
| hep-ph astro-ph hep-ex | in supersymmetric extensions of the standard model the lightest neutralino the gravitino and the axino can appear as the lightest supersymmetric particle and as such provide a compelling explanation of the nonbaryonic dark matter in our universe for each of these dark matter candidates i review the present status of primordial production mechanisms cosmological constraints and prospects of experimental identification | [['in', 'supersymmetric', 'extensions', 'of', 'the', 'standard', 'model', 'the', 'lightest', 'neutralino', 'the', 'gravitino', 'and', 'the', 'axino', 'can', 'appear', 'as', 'the', 'lightest', 'supersymmetric', 'particle', 'and', 'as', 'such', 'provide', 'a', 'compelling', 'explanation', 'of', 'the', 'nonbaryonic', 'dark', 'matter', 'in', 'our', 'universe', 'for', 'each', 'of', 'these', 'dark', 'matter', 'candidates', 'i', 'review', 'the', 'present', 'status', 'of', 'primordial', 'production', 'mechanisms', 'cosmological', 'constraints', 'and', 'prospects', 'of', 'experimental', 'identification']] | [-0.08338458285434172, 0.20341151465351384, -0.08084810824754338, 0.20606538311888775, -0.11809769997683664, -0.15597515988629312, -0.03246656970198577, 0.23616633642620097, -0.1744209257264932, -0.3925750856908659, 0.047173965291585775, -0.2605482061393559, -0.005259612482041121, 0.11607931271816294, 0.04237040454366555, 0.06778428331017494, 0.03441461150844892, 0.035009946771606335, 0.012841084056223433, -0.28004976427182554, 0.2713206778202827, 0.040931478158260384, 0.11991265144509573, 0.09661095601816973, 0.03622258314086745, -0.05877345234621316, -0.08318953059594301, -0.12267365644996366, -0.18500608477431038, 0.09327776255086065, 0.1829556062196692, 0.20569500708952546, 0.12313236613602688, -0.39899207349129334, -0.2182403250907858, 0.25217047561891376, 0.2106991174669626, 0.11115631531744535, -0.1769712970436861, -0.3301972205750644, 0.05290133781963959, -0.2589848242234439, -0.0892173706398656, -0.03705297786509618, -0.02781364830637661, -0.07634021590153377, -0.22056256035963695, 0.1635702913161367, -0.06672443694745502, -0.11056439202511684, -0.1109287609695457, -0.2065979015159731, -0.04602320252063995, -0.06223644112081577, 0.18454053550764607, -0.08165434807694207, 0.24934538217882316, -0.28672770857810975, -0.19379177282874782, 0.5187030809621016, -0.15846580845148614, -0.12037394723544519, 0.16367602817093332, -0.09750387446644405, -0.22388541743469734, 0.05252470326377079, 0.12993846504638593, 0.10194588556575278, -0.12890179596530896, 0.17820187844821098, -0.060423396341502664, 0.15989521545901272, 0.018839206189538042, 0.12128955673736831, 0.4696971345692873, 0.2749530416292449, 0.04385839208650092, 0.027860096578175824, -0.059254868996019165, -0.06246515301366647, -0.49854733670751256, -0.21945989599140983, -0.0588037081528455, -0.0029835743674387536, -0.0964294081624151, -0.1235852480866015, 0.40558893674363694, 0.15270790753420443, 0.19945138881448657, 0.003967937524430453, 0.32130285088593763, -0.017354961385717616, -0.023420650511980057, -0.015203877553964655, 0.34887435496784747, 0.12510222969576718, 0.1002200169644008, -0.22167920619249343, -0.05145625774069534, 0.004991756992725035] |
711.1241 | X-ray Resonant Scattering Study of the Order Parameters in Multiferroic
TbMnO$_3$ | We report on an extensive investigation of the multiferroic compound
TbMnO$_3$. Non-resonant x-ray magnetic scattering (NRXMS) revealed a dominant
$A$-type domain. The temperature dependence of the intensity and wavevector
associated with the incommensurate magnetic order was found to be in good
agreement with neutron scattering data. XRS experiments were performed in the
vicinity of the Mn $K$ and Tb $L_3$ edges in the high-temperature collinear
phase, the intermediate temperature cycloidal/ferroelectric phase, and the
low-temperature phase. In the collinear phase resonant $E1-E1$ satellites were
found at the Mn $K$ edge associated with $A$-type but also $F$-type peaks. The
azimuthal dependence of the $F$-type satellites (and their absence in the NRXMS
experiments) indicates that they are most likely non-magnetic in origin. We
suggest instead that they may be associated with an induced charge multipole.
At the Tb $L_3$ edge resonant $A$- and $F$-type satellites ($E1-E1$) were
observed in the collinear phase. These we attribute to a polarisation of the Tb
5$d$ states by the ordering of the Mn sublattice. In the
cycloidal/ferroelectric phase a new set of resonant satellites appear
corresponding to $C$-type order. These appear at the Tb $L_3$ edge only. In
addition to a dominant $E1-E1$ component in the $\sigma-\pi^\prime$ channel, a
weaker component is found in the pre-edge with $\sigma-\sigma^\prime$
polarization. Calculations of the XRS were performed using the $FDMNES$ code
showing that the unrotated $\sigma-\sigma^\prime$ component of the Tb $L_3$
$C$-type peaks appearing in the ferroelectric phase contains a contribution
from a multipole that is odd with respect to both space and time, known in
various contexts as the anapole.
| cond-mat.str-el | we report on an extensive investigation of the multiferroic compound tbmno_3 nonresonant xray magnetic scattering nrxms revealed a dominant atype domain the temperature dependence of the intensity and wavevector associated with the incommensurate magnetic order was found to be in good agreement with neutron scattering data xrs experiments were performed in the vicinity of the mn k and tb l_3 edges in the hightemperature collinear phase the intermediate temperature cycloidalferroelectric phase and the lowtemperature phase in the collinear phase resonant e1e1 satellites were found at the mn k edge associated with atype but also ftype peaks the azimuthal dependence of the ftype satellites and their absence in the nrxms experiments indicates that they are most likely nonmagnetic in origin we suggest instead that they may be associated with an induced charge multipole at the tb l_3 edge resonant a and ftype satellites e1e1 were observed in the collinear phase these we attribute to a polarisation of the tb 5d states by the ordering of the mn sublattice in the cycloidalferroelectric phase a new set of resonant satellites appear corresponding to ctype order these appear at the tb l_3 edge only in addition to a dominant e1e1 component in the sigmapiprime channel a weaker component is found in the preedge with sigmasigmaprime polarization calculations of the xrs were performed using the fdmnes code showing that the unrotated sigmasigmaprime component of the tb l_3 ctype peaks appearing in the ferroelectric phase contains a contribution from a multipole that is odd with respect to both space and time known in various contexts as the anapole | [['we', 'report', 'on', 'an', 'extensive', 'investigation', 'of', 'the', 'multiferroic', 'compound', 'tbmno_3', 'nonresonant', 'xray', 'magnetic', 'scattering', 'nrxms', 'revealed', 'a', 'dominant', 'atype', 'domain', 'the', 'temperature', 'dependence', 'of', 'the', 'intensity', 'and', 'wavevector', 'associated', 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711.1242 | The Price of Selfish Stackelberg Leadership in a Network Game | We study a class of games in which a finite number of agents each controls a
quantity of flow to be routed through a network, and are able to split their
own flow between multiple paths through the network. Recent work on this model
has contrasted the social cost of Nash equilibria with the best possible social
cost. Here we show that additional costs are incurred in situations where a
selfish ``leader'' agent allocates his flow, and then commits to that choice so
that other agents are compelled to minimise their own cost based on the first
agent's choice. We find that even in simple networks, the leader can often
improve his own cost at the expense of increased social cost. Focusing on the
2-player case, we give upper and lower bounds on the worst-case additional cost
incurred.
| cs.GT | we study a class of games in which a finite number of agents each controls a quantity of flow to be routed through a network and are able to split their own flow between multiple paths through the network recent work on this model has contrasted the social cost of nash equilibria with the best possible social cost here we show that additional costs are incurred in situations where a selfish leader agent allocates his flow and then commits to that choice so that other agents are compelled to minimise their own cost based on the first agents choice we find that even in simple networks the leader can often improve his own cost at the expense of increased social cost focusing on the 2player case we give upper and lower bounds on the worstcase additional cost incurred | [['we', 'study', 'a', 'class', 'of', 'games', 'in', 'which', 'a', 'finite', 'number', 'of', 'agents', 'each', 'controls', 'a', 'quantity', 'of', 'flow', 'to', 'be', 'routed', 'through', 'a', 'network', 'and', 'are', 'able', 'to', 'split', 'their', 'own', 'flow', 'between', 'multiple', 'paths', 'through', 'the', 'network', 'recent', 'work', 'on', 'this', 'model', 'has', 'contrasted', 'the', 'social', 'cost', 'of', 'nash', 'equilibria', 'with', 'the', 'best', 'possible', 'social', 'cost', 'here', 'we', 'show', 'that', 'additional', 'costs', 'are', 'incurred', 'in', 'situations', 'where', 'a', 'selfish', 'leader', 'agent', 'allocates', 'his', 'flow', 'and', 'then', 'commits', 'to', 'that', 'choice', 'so', 'that', 'other', 'agents', 'are', 'compelled', 'to', 'minimise', 'their', 'own', 'cost', 'based', 'on', 'the', 'first', 'agents', 'choice', 'we', 'find', 'that', 'even', 'in', 'simple', 'networks', 'the', 'leader', 'can', 'often', 'improve', 'his', 'own', 'cost', 'at', 'the', 'expense', 'of', 'increased', 'social', 'cost', 'focusing', 'on', 'the', '2player', 'case', 'we', 'give', 'upper', 'and', 'lower', 'bounds', 'on', 'the', 'worstcase', 'additional', 'cost', 'incurred']] | [-0.14158250250435178, 0.061359008222453944, -0.07972750334285092, 0.03666395851009377, -0.14085280745749132, -0.1841469176714241, 0.17617354334156582, 0.4230375156359936, -0.28417170189145574, -0.30987402369551686, 0.08029861171962693, -0.2892555610911138, -0.17859196558972631, 0.12376739339484577, -0.1517223406454845, 0.019205657416023314, 0.08865815990493106, 0.08818503958510532, 0.05916071306083999, -0.3540927499930874, 0.2970733115242552, 0.07880911372763955, 0.261926374124849, 0.059428394859845655, 0.10285281644462595, -0.00019371607408359432, -0.001920426338641108, 0.061762081538462014, -0.11628341231519607, 0.12388644551696337, 0.2638483029567515, 0.1802153666537471, 0.3999222828196767, -0.5007612518426301, -0.1668705852437373, 0.17116940241185544, 0.08959016993479885, 0.09448419429236969, -0.0005716247234385514, -0.24364911899665723, 0.07509097353001867, -0.18959448239732318, -0.04750889374375127, -0.033352674158026195, -0.03320564836283903, 0.06128875847291741, -0.26764773566653766, -0.01869211486959155, 0.0015661993698365447, 0.03526249132688542, -0.03662777063774242, -0.12303145764989482, -0.06075118149063834, 0.1946776422192815, 0.0746314733759905, -0.014701270348176467, 0.15978886050077667, -0.15041760159015277, -0.16710761811354777, 0.3888137647882104, -0.031103025527967922, -0.21399944318640654, 0.19469978713322486, -0.0672426265090758, -0.13388316593203775, 0.09491302070639812, 0.2422099064603664, 0.10565856725456862, -0.13857909963479725, 0.040660908987722025, -0.05882989676530891, 0.1598249589712224, 0.06742375738500361, 0.05024773500643778, 0.11416967192232824, 0.14524545026875602, 0.1963926151705285, 0.13164384284797395, 0.03911363184317083, -0.15319359819514447, -0.2583741703027677, -0.12928163949265212, -0.2053207512607501, 0.0343478812424439, -0.10574785918404392, -0.08320665623962312, 0.36821389696358336, 0.1425134866043716, 0.17823323457496767, 0.13695381406063645, 0.3400220706640486, 0.08400118557240246, 0.0236147358385927, 0.14470803311796507, 0.21546132046648342, -0.016618763886230146, 0.09632747034218324, -0.22560707766873142, 0.15834441095121557, 0.03330021595204438] |
711.1243 | Functions of State for Spinor Gas in General Relativity | The energy momentum tensor of perfect fluid is a simplified but successful
model in astrophysics. In this paper, assuming the particles driven by gravity
and moving along geodesics, we derived the functions of state in detail. The
results show that, these functions have a little correction for the usual
thermodynamics. The new functions naturally satisfy the causal condition and
consist with relativity. For the self potentials of the particles we introduce
an extra function $W$, which acts like negative pressure and can be used to
describe dark matter. The results are helpful to understand the relation and
interaction between space-time and matter.
| physics.gen-ph | the energy momentum tensor of perfect fluid is a simplified but successful model in astrophysics in this paper assuming the particles driven by gravity and moving along geodesics we derived the functions of state in detail the results show that these functions have a little correction for the usual thermodynamics the new functions naturally satisfy the causal condition and consist with relativity for the self potentials of the particles we introduce an extra function w which acts like negative pressure and can be used to describe dark matter the results are helpful to understand the relation and interaction between spacetime and matter | [['the', 'energy', 'momentum', 'tensor', 'of', 'perfect', 'fluid', 'is', 'a', 'simplified', 'but', 'successful', 'model', 'in', 'astrophysics', 'in', 'this', 'paper', 'assuming', 'the', 'particles', 'driven', 'by', 'gravity', 'and', 'moving', 'along', 'geodesics', 'we', 'derived', 'the', 'functions', 'of', 'state', 'in', 'detail', 'the', 'results', 'show', 'that', 'these', 'functions', 'have', 'a', 'little', 'correction', 'for', 'the', 'usual', 'thermodynamics', 'the', 'new', 'functions', 'naturally', 'satisfy', 'the', 'causal', 'condition', 'and', 'consist', 'with', 'relativity', 'for', 'the', 'self', 'potentials', 'of', 'the', 'particles', 'we', 'introduce', 'an', 'extra', 'function', 'w', 'which', 'acts', 'like', 'negative', 'pressure', 'and', 'can', 'be', 'used', 'to', 'describe', 'dark', 'matter', 'the', 'results', 'are', 'helpful', 'to', 'understand', 'the', 'relation', 'and', 'interaction', 'between', 'spacetime', 'and', 'matter']] | [-0.1062847541864304, 0.17152758309969737, -0.11639713422468334, 0.11394318134761323, -0.08091760700678124, -0.12510834046292538, -0.040804796270380146, 0.32670774895871313, -0.2633384541590132, -0.3224762454948516, 0.024752200278681795, -0.25716786700136524, -0.13232367917867927, 0.15632631845872702, -0.019937038275541042, 0.02054991200452159, 0.023254194335701566, 0.04516661714981584, -0.05371810653584772, -0.19931518705333492, 0.37766756678876634, 0.08269436591688324, 0.24516687377849045, 0.07352229286962207, 0.1264352950167057, 0.012227269202269906, -0.029666908372960547, 0.03697554335253788, -0.1668684379119619, 0.07290746016866144, 0.18682489201355743, 0.09070045747520293, 0.20349205823332145, -0.4599117820205934, -0.23717664695326604, 0.12879515537882552, 0.10122406930096593, 0.11345204751934017, -0.0892443749962338, -0.26548876532116067, 0.054892823967498304, -0.18123022192722762, -0.15624048552411957, -0.07065128910528752, -0.02042251265169505, 0.025089372106937364, -0.23903757234231807, 0.10666564585157104, 0.054012943572803014, -0.026899510188776926, -0.09231540614821236, -0.08662537991082953, -0.015020231022408195, 0.0987390692793198, 0.07569072251413565, 0.028420742391152123, 0.11804428475215008, -0.1625707103647109, -0.06856042858642325, 0.41389577146436946, -0.08689963193975535, -0.2792614083006686, 0.1904043673797894, -0.13902786747990725, -0.11666781027965686, 0.07005621581886183, 0.157487721228059, 0.1089174532326961, -0.14735538171439924, 0.11061062249891442, -0.01905325326301596, 0.12918243994114592, 0.050765016365011094, 0.03420735273724787, 0.24919057959307203, 0.09413470360724364, 0.015117182727337029, 0.13060375282372, -0.018472142535827907, -0.11561544738052522, -0.3572507788354129, -0.19833107693486063, -0.12469496429149135, 0.003007012485599547, -0.09612734993282299, -0.14877005330031262, 0.35750285046649916, 0.10727263595361043, 0.17185631793451167, 0.023305571557013502, 0.2660731498754638, 0.1270219295596083, 0.061089596880015494, 0.08637382672168314, 0.29768289958912075, 0.1437690276789534, 0.10957730101768438, -0.1850498085459192, 0.01797198853455484, 0.050042039856278135] |
711.1244 | Quasistationary quaternionic Hamiltonians and complex stochastic maps | We show that the complex projections of time-dependent $\eta
$-quasianti-Hermitian quaternionic Hamiltonian dynamics are complex stochastic
dynamics in the space of complex quasi-Hermitian density matrices if and only
if a quasistationarity condition is fulfilled, i. e., if and only if $\eta $ is
an Hermitian positive time-independent complex operator. An example is also
discussed.
| quant-ph | we show that the complex projections of timedependent eta quasiantihermitian quaternionic hamiltonian dynamics are complex stochastic dynamics in the space of complex quasihermitian density matrices if and only if a quasistationarity condition is fulfilled i e if and only if eta is an hermitian positive timeindependent complex operator an example is also discussed | [['we', 'show', 'that', 'the', 'complex', 'projections', 'of', 'timedependent', 'eta', 'quasiantihermitian', 'quaternionic', 'hamiltonian', 'dynamics', 'are', 'complex', 'stochastic', 'dynamics', 'in', 'the', 'space', 'of', 'complex', 'quasihermitian', 'density', 'matrices', 'if', 'and', 'only', 'if', 'a', 'quasistationarity', 'condition', 'is', 'fulfilled', 'i', 'e', 'if', 'and', 'only', 'if', 'eta', 'is', 'an', 'hermitian', 'positive', 'timeindependent', 'complex', 'operator', 'an', 'example', 'is', 'also', 'discussed']] | [-0.17269523178209673, 0.18269079820448444, -0.03653768414877496, 0.10311428799935318, -0.056034544746409044, -0.19863140698135742, -0.08850638198508125, 0.38419068703111614, -0.2978821302816834, -0.12789072592760314, 0.0821955011397565, -0.2597442175490114, -0.258875666397079, 0.16258910711292388, -0.03090251284598742, -0.00027569673322844055, 0.10949199743358032, 0.1089598814833839, -0.10522743096170982, -0.2116978384976117, 0.3915079432838368, 0.00144414900679071, 0.13070788291581678, 0.05584087319461242, 0.1030757878643443, 0.030692537640274135, 0.04060312732175555, -0.0029033477212750476, -0.09716014292177344, 0.008212228621936069, 0.2053771514559762, 0.14287834512596986, 0.22880298591587903, -0.40756437235142823, -0.16976111308443095, 0.2245121996252323, 0.11065433222640148, -0.01575199797538654, -0.01034873096219633, -0.28536187312653605, 0.07454785256523569, -0.10470760801701613, -0.17017381358891726, -0.13959126824618512, 0.14486244240037674, -0.016932353693640458, -0.3105926871791763, 0.06421352765151686, 0.07478514914664458, 0.05060093709320392, -0.06928383280031102, -0.061583667765107916, -0.0783499939771334, 0.03975207883126612, -0.02467309249090558, 0.014203908332658685, 0.12738672230076395, -0.05871190853803506, -0.04456876887816866, 0.3741795268296352, -0.03766966852324329, -0.3458108864548915, 0.1313251334260095, -0.2016451896502162, -0.16315226642555505, 0.13564515336117935, 0.08942295607390269, 0.14873118765371027, -0.11521243214396373, 0.21462273298771525, -0.10697230909026298, 0.1484109721726404, -0.008780218599329018, -0.05073331699724186, 0.09831800756378556, 0.08818394958726922, 0.1245027472581363, 0.015560762570151742, 0.02751782854562098, -0.14124148693990032, -0.33548772461571785, -0.1887460971637717, -0.2219231094426985, 0.16110318997558556, -0.10483525083169674, -0.14722410273158326, 0.36539841256157124, 0.035668086383562045, 0.20383336799184107, -0.008514488902259266, 0.25327025049910795, 0.21140262896616785, -0.05147460400882476, 0.11590018795522035, 0.1769833413638034, 0.20200054646241214, 0.061662006631212414, -0.19870278148753745, 0.00235866091020827, 0.06367084800423879] |
711.1245 | Optimal evaluation of single-molecule force spectroscopy experiments | The forced rupture of single chemical bonds under external load is addressed.
A general framework is put forward to optimally utilize the experimentally
observed rupture force data for estimating the parameters of a theoretical
model. As an application we explore to what extent a distinction between
several recently proposed models is feasible on the basis of realistic
experimental data sets.
| physics.bio-ph physics.data-an | the forced rupture of single chemical bonds under external load is addressed a general framework is put forward to optimally utilize the experimentally observed rupture force data for estimating the parameters of a theoretical model as an application we explore to what extent a distinction between several recently proposed models is feasible on the basis of realistic experimental data sets | [['the', 'forced', 'rupture', 'of', 'single', 'chemical', 'bonds', 'under', 'external', 'load', 'is', 'addressed', 'a', 'general', 'framework', 'is', 'put', 'forward', 'to', 'optimally', 'utilize', 'the', 'experimentally', 'observed', 'rupture', 'force', 'data', 'for', 'estimating', 'the', 'parameters', 'of', 'a', 'theoretical', 'model', 'as', 'an', 'application', 'we', 'explore', 'to', 'what', 'extent', 'a', 'distinction', 'between', 'several', 'recently', 'proposed', 'models', 'is', 'feasible', 'on', 'the', 'basis', 'of', 'realistic', 'experimental', 'data', 'sets']] | [-0.1178566896279032, 0.08272040699982124, -0.09931433786017199, 0.09838939298060723, -0.09540706135643025, -0.15665550043340773, 0.10994215641791621, 0.40527450119455655, -0.28447100169335804, -0.2814376115100458, 0.055133450702608874, -0.24833600570758183, -0.11701240877155214, 0.20294808166023964, -0.03130909823812544, 0.11216346062719822, 0.045307245555644235, -0.005244644195772708, -0.0018115773874645433, -0.2123561523233851, 0.28391466362712287, 0.09864135033761462, 0.35950638201708596, 0.05130547365309515, 0.08448162440909072, -0.04256498459726572, 0.022573608811944722, 0.02448962621856481, -0.18248486695811153, 0.1235521691540877, 0.2176210851435826, 0.10223392815484354, 0.2936689410979549, -0.49012663300381976, -0.276153023308143, 0.10089474017731845, 0.07824196254368872, 0.13008052951966723, -0.050638243643334135, -0.23329176846697616, 0.015174581190027918, -0.1548701688181609, -0.12614593984714398, -0.1073431171476841, 0.045731276149551074, -0.0009766655042767526, -0.3156655437895097, 0.032794021908193825, 0.0022923382425991197, 0.07942253320167462, -0.08222237292211503, -0.05755046023793208, -0.011772304680198431, 0.11672753267921507, 0.0513715092112155, 0.02414300530217588, 0.14525367439394662, -0.08971603497241934, -0.09574040478716293, 0.3983675562310964, -0.01561813117004931, -0.22541937045753002, 0.17245556341173748, -0.0671254551038146, -0.1261273160460405, 0.06094837710261345, 0.18399609044815105, 0.05612785449872414, -0.2146305908759435, 0.018643584940582512, -0.07113232988243302, 0.13946039016979436, 0.04284432027488947, -0.05333655117331849, 0.1922162593381169, 0.2656772440144171, 0.029757935274392366, 0.1667559289295847, -0.12008515609971558, -0.10249330640460054, -0.27982702967710793, -0.09174598578441268, -0.1669493898632936, -0.013410994868415098, -0.049946684204041955, -0.12041046754457056, 0.38165737616363915, 0.21090829940512776, 0.2304372422086696, 0.017584151316744585, 0.31702666354055203, 0.07816418859292754, 0.05966846315811078, 0.0049703543928141395, 0.25612464381071426, 0.10897413073107601, 0.05705020287229369, -0.195397242026714, 0.14291768326268842, -0.016280359153946242] |
711.1246 | Finite-thickness effects in ground-state transitions of two-electron
quantum dots | Using the exactly solvable excitation spectrum of two-electron quantum dots
with parabolic potential, we show that the inclusion of the vertical extension
of the quantum dot provides a consistent description of the experimental
findings of Nishi et al. [Phys.Rev.B75, 121301(R) (2007)]. We found that the
second singlet-triplet transition in the ground state is a vanishing function
of the lateral confinement in the three-dimensional case, while it always
persists in the two-dimensional case. We show that a slight decrease of the
lateral confinement leads to a formation of the Wigner molecule at low magnetic
fields.
| cond-mat.mes-hall | using the exactly solvable excitation spectrum of twoelectron quantum dots with parabolic potential we show that the inclusion of the vertical extension of the quantum dot provides a consistent description of the experimental findings of nishi et al physrevb75 121301r 2007 we found that the second singlettriplet transition in the ground state is a vanishing function of the lateral confinement in the threedimensional case while it always persists in the twodimensional case we show that a slight decrease of the lateral confinement leads to a formation of the wigner molecule at low magnetic fields | [['using', 'the', 'exactly', 'solvable', 'excitation', 'spectrum', 'of', 'twoelectron', 'quantum', 'dots', 'with', 'parabolic', 'potential', 'we', 'show', 'that', 'the', 'inclusion', 'of', 'the', 'vertical', 'extension', 'of', 'the', 'quantum', 'dot', 'provides', 'a', 'consistent', 'description', 'of', 'the', 'experimental', 'findings', 'of', 'nishi', 'et', 'al', 'physrevb75', '121301r', '2007', 'we', 'found', 'that', 'the', 'second', 'singlettriplet', 'transition', 'in', 'the', 'ground', 'state', 'is', 'a', 'vanishing', 'function', 'of', 'the', 'lateral', 'confinement', 'in', 'the', 'threedimensional', 'case', 'while', 'it', 'always', 'persists', 'in', 'the', 'twodimensional', 'case', 'we', 'show', 'that', 'a', 'slight', 'decrease', 'of', 'the', 'lateral', 'confinement', 'leads', 'to', 'a', 'formation', 'of', 'the', 'wigner', 'molecule', 'at', 'low', 'magnetic', 'fields']] | [-0.14764855842045305, 0.15282596673047089, -0.03277767324597453, 0.012548288225408887, 0.02139305243769701, -0.11637506206803348, 0.017418310583984156, 0.36383598867763317, -0.22708933706820497, -0.2779202226387418, -0.013076399780718772, -0.2582576942032851, -0.1464930123588799, 0.176060109672582, -0.007372824776330558, 0.03078150915224915, 0.05436399547919712, 0.01232004711282966, -0.08290595606819767, -0.20317278658647253, 0.2876243543325235, 0.042242944369639226, 0.2855586014971461, 0.12244711166915848, 0.0788546073954026, 0.005581580851550983, 0.09477133449399844, 0.01964517786046085, -0.14725762843424847, 0.07755070346731531, 0.17536821587608478, -0.022001992627654388, 0.24150267491400565, -0.41258517637565406, -0.20408142953301253, 0.0617822155118515, 0.12997410256091668, 0.18823118895575727, -0.07584128684080181, -0.2657810789178652, 0.04203089651064542, -0.1716292117084579, -0.17000056738438812, -0.02991225431627675, 0.014781905778521754, -0.002460145487693017, -0.2805139889444589, 0.13783914049196502, 0.10351909443852492, 0.034003755698509136, -0.08198850296700941, -0.05498549895381312, -0.05735031052229359, 0.08483041146182982, -0.0070732410151875865, 0.06038831119202887, 0.11061432942338086, -0.12927636945539195, -0.12267956376055499, 0.37006567021750886, -0.09234574340972239, -0.13179868408073875, 0.16210462931422112, -0.23021626027564154, -0.09139149906948897, 0.12875227686827598, 0.07850625207040297, 0.0931481409655965, -0.056849683944955876, 0.13167858892911286, -0.06675452218674448, 0.14481660225631102, 0.056931697176364454, 0.023021621088011434, 0.18290902038469262, 0.14658651326823494, 0.07049360621275137, 0.16679289855528623, -0.11201378160773817, -0.1362913286031234, -0.3074875652850808, -0.1947420490298258, -0.211620053468758, 0.08741799388688219, -0.037000334568564656, -0.1871398765006629, 0.432174779859412, 0.12044351466971895, 0.20918413383997572, 0.00013177761929514617, 0.23736904452696606, 0.14939138597970747, 0.048783516723905566, 0.04163220006708086, 0.26319500649064453, 0.1816643605732521, 0.0689187641141673, -0.30642561862307205, 0.0069300592396124875, 0.005418531060137827] |
711.1247 | Discovery of Quantum Hidden Variable | The first clue, in the theory of relativity, the 4-vector force acting on a
particle is orthogonal to the 4-vector velocity of the particle, this
orthogonality means that there is some difference between the orthogonality and
the usual statement: the Coulomb's force (or gravitational force) acts along
the line joining a couple of particles (in usual 3D space), so the direction of
4-vector Coulomb's force is carefully investigated, it is found that Maxwell's
equations can be derived from classical Coulomb's force and the orthogonality.
The second clue, a 4-vector force has 4 components, because of the
orthogonality of 4-vector force and 4-vector velocity, the number of
independent components of the 4-vector force reduces to 3, however we prove
that 4-vector Coulomb's force can merely provide 2 independent components, this
situation means that there is an undefined component accompanying the 4-vector
Coulomb's force, hinting that this missing undefined component is a hidden
variable. The third clue, the best way to study the hidden variable is to
establish a new concept: Z-space, in which the undefined component of 4-vector
Coulomb's force can be clearly defined as the hidden variable for the quantum
mechanics. At the last, the undefined component is regarded as a fluctuating
source that contributes to Lorentz force, so that the quantum wave equation can
be derived out in the ensemble space of particle motion from the relativistic
Newton's second law.
| physics.gen-ph | the first clue in the theory of relativity the 4vector force acting on a particle is orthogonal to the 4vector velocity of the particle this orthogonality means that there is some difference between the orthogonality and the usual statement the coulombs force or gravitational force acts along the line joining a couple of particles in usual 3d space so the direction of 4vector coulombs force is carefully investigated it is found that maxwells equations can be derived from classical coulombs force and the orthogonality the second clue a 4vector force has 4 components because of the orthogonality of 4vector force and 4vector velocity the number of independent components of the 4vector force reduces to 3 however we prove that 4vector coulombs force can merely provide 2 independent components this situation means that there is an undefined component accompanying the 4vector coulombs force hinting that this missing undefined component is a hidden variable the third clue the best way to study the hidden variable is to establish a new concept zspace in which the undefined component of 4vector coulombs force can be clearly defined as the hidden variable for the quantum mechanics at the last the undefined component is regarded as a fluctuating source that contributes to lorentz force so that the quantum wave equation can be derived out in the ensemble space of particle motion from the relativistic newtons second law | [['the', 'first', 'clue', 'in', 'the', 'theory', 'of', 'relativity', 'the', '4vector', 'force', 'acting', 'on', 'a', 'particle', 'is', 'orthogonal', 'to', 'the', '4vector', 'velocity', 'of', 'the', 'particle', 'this', 'orthogonality', 'means', 'that', 'there', 'is', 'some', 'difference', 'between', 'the', 'orthogonality', 'and', 'the', 'usual', 'statement', 'the', 'coulombs', 'force', 'or', 'gravitational', 'force', 'acts', 'along', 'the', 'line', 'joining', 'a', 'couple', 'of', 'particles', 'in', 'usual', '3d', 'space', 'so', 'the', 'direction', 'of', '4vector', 'coulombs', 'force', 'is', 'carefully', 'investigated', 'it', 'is', 'found', 'that', 'maxwells', 'equations', 'can', 'be', 'derived', 'from', 'classical', 'coulombs', 'force', 'and', 'the', 'orthogonality', 'the', 'second', 'clue', 'a', '4vector', 'force', 'has', '4', 'components', 'because', 'of', 'the', 'orthogonality', 'of', '4vector', 'force', 'and', '4vector', 'velocity', 'the', 'number', 'of', 'independent', 'components', 'of', 'the', '4vector', 'force', 'reduces', 'to', '3', 'however', 'we', 'prove', 'that', '4vector', 'coulombs', 'force', 'can', 'merely', 'provide', '2', 'independent', 'components', 'this', 'situation', 'means', 'that', 'there', 'is', 'an', 'undefined', 'component', 'accompanying', 'the', '4vector', 'coulombs', 'force', 'hinting', 'that', 'this', 'missing', 'undefined', 'component', 'is', 'a', 'hidden', 'variable', 'the', 'third', 'clue', 'the', 'best', 'way', 'to', 'study', 'the', 'hidden', 'variable', 'is', 'to', 'establish', 'a', 'new', 'concept', 'zspace', 'in', 'which', 'the', 'undefined', 'component', 'of', '4vector', 'coulombs', 'force', 'can', 'be', 'clearly', 'defined', 'as', 'the', 'hidden', 'variable', 'for', 'the', 'quantum', 'mechanics', 'at', 'the', 'last', 'the', 'undefined', 'component', 'is', 'regarded', 'as', 'a', 'fluctuating', 'source', 'that', 'contributes', 'to', 'lorentz', 'force', 'so', 'that', 'the', 'quantum', 'wave', 'equation', 'can', 'be', 'derived', 'out', 'in', 'the', 'ensemble', 'space', 'of', 'particle', 'motion', 'from', 'the', 'relativistic', 'newtons', 'second', 'law']] | [-0.16335655464130572, 0.17899711405636906, -0.1465915854157501, 0.06312416294373943, -0.15425660407767344, -0.15061441628318845, -0.03104539230733997, 0.2903989985468293, -0.3059540983426558, -0.2764213977067114, 0.009839462634938007, -0.2748817897429972, -0.13506035710830097, 0.1591273139899161, -0.02470379475971837, 0.01892352926250531, -0.034924098143345995, 0.09213986857081119, -0.007663335999381579, 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711.1248 | Dynamical NNLO parton distributions and the perturbative stability of
F_L(x,Q^2) | It is shown that the previously noted extreme perturbative NNLO/NLO
instability of the longitudinal structure function F_L(x,Q^2) is a mere
artefact of the commonly utilized `standard' gluon distributions. In particular
it is demonstrated that using the appropriate -- dynamically generated --
parton distributions at NLO and NNLO, F_L(x,Q^2) turns out to be perturbatively
rather stable already for Q^2 $\geq$ O(2-3 GeV^2).
| hep-ph | it is shown that the previously noted extreme perturbative nnlonlo instability of the longitudinal structure function f_lxq2 is a mere artefact of the commonly utilized standard gluon distributions in particular it is demonstrated that using the appropriate dynamically generated parton distributions at nlo and nnlo f_lxq2 turns out to be perturbatively rather stable already for q2 geq o23 gev2 | [['it', 'is', 'shown', 'that', 'the', 'previously', 'noted', 'extreme', 'perturbative', 'nnlonlo', 'instability', 'of', 'the', 'longitudinal', 'structure', 'function', 'f_lxq2', 'is', 'a', 'mere', 'artefact', 'of', 'the', 'commonly', 'utilized', 'standard', 'gluon', 'distributions', 'in', 'particular', 'it', 'is', 'demonstrated', 'that', 'using', 'the', 'appropriate', 'dynamically', 'generated', 'parton', 'distributions', 'at', 'nlo', 'and', 'nnlo', 'f_lxq2', 'turns', 'out', 'to', 'be', 'perturbatively', 'rather', 'stable', 'already', 'for', 'q2', 'geq', 'o23', 'gev2']] | [-0.04283917942913091, 0.19158836151078595, -0.19779305948512788, 0.2092190972367554, -0.041547701883492834, -0.07838562259576835, -0.01723881808930408, 0.40616520431082126, -0.20532835622207593, -0.18748986468476764, 0.018412704648592085, -0.23307893781970113, -0.057308795388346004, 0.1459062926913217, 0.04158330156262648, 0.13240270000898233, 0.049018278650907895, -0.012892979299807447, -0.030214116788248264, -0.2578019485216967, 0.34255987165843027, 0.10565734782524533, 0.25835806203974504, 0.0938286422515067, 0.10494322931764931, 0.023426191194645934, -0.037871447060320335, -0.013897638369383196, -0.09995437353593889, -0.02235993937099889, 0.29532665233285627, 0.019483569178161, 0.18724002031277928, -0.2925504928107484, -0.14716349872050144, 0.040580992433005725, 0.18237018923006826, 0.10458857827362116, 0.03531762343531443, -0.2382095191643526, 0.1377712772346212, -0.24158857598648234, -0.19568439628297496, -0.15624273792540622, 0.03215621629635156, -0.07024687930341747, -0.35510698400962687, 0.08473198692772095, 0.0006742313567359568, -0.0033435859733213814, 0.062038678139195606, -0.21487881562088507, -0.13114588687164805, 0.01112401511488577, 0.13764738323466885, 0.15647323671886224, 0.12731093353733924, -0.15156578641163848, -0.09337424587900356, 0.3752832274126299, 0.029291601164929442, -0.19841769391718178, 0.0918183359199093, -0.22815934873296548, -0.12203763557945267, 0.17664652494555813, 0.09282652508088593, 0.1597146157518629, -0.18490418753196028, 0.1397663634891969, -0.012936816179840747, 0.18948790298822193, 0.1501150270253104, -0.00795834908119829, 0.14916567618058899, 0.14317323956875352, -0.032345688933411894, 0.08676299608857134, -0.025534641763226965, -0.13399446155418152, -0.3648779762245841, -0.016468495083183557, -0.11847447115391241, 0.09214662408487777, -0.08867188310225976, -0.13665283593039376, 0.30378907464318355, 0.15702835353788372, 0.1864393065659866, -0.028772062579341534, 0.3078833721514981, 0.17316644787946242, 0.15971873025804506, 0.08762871829982279, 0.3081078096213987, 0.12626073760832895, 0.08258782101447805, -0.16521182653920377, 0.0678119727304813, 0.03581647709075172] |
711.1249 | Contributions to Random Energy Models | In this thesis, we consider several Random Energy Models. This includes
Derrida's Random Energy Model (REM) and Generalized Random Energy Model (GREM)
and a nonhierarchical version (BK-GREM) by Bolthausen and Kistler. The limiting
free energy in all these models along with Word GREM, a model proposed by us,
turn out to be a cute consequence of large deviation principle (LDP). This LDP
argument allows us to consider non-Gaussian driving distributions as well as
external field. We could also consider random trees as the underlying tree
structure in GREM. In all these models, as expected, limiting free energy is
not 'universal' unlike the SK model. However it is 'rate specific'.
Consideration of non-Gaussian driving distribution as well as different driving
distributions for the different levels of the underlying trees in GREM leads to
interesting phenomena. For example in REM, if the Hamiltonian is Binomial with
parameter $N$ and $p$ then the existence of phase transition depends on the
parameter $p$. More precisely, phase transition takes place only when
$p>{1/2}$. For another example, consider a 2 level GREM with exponential
driving distribution at the first level and Gaussian in the second with equal
weights at both the levels. Then even if the limiting ratio for the second
level particles, $p_2$ is 0.00001 (very small), the system reduces to a
Gaussian REM. On the other hand, if we consider a 2 level GREM with Gaussian
driving distribution at the first level and exponential in the second, the
system will never reduce to a Gaussian REM. In either case, the system will
never reduce to that of an exponential REM. etc.
| math.PR math.DS | in this thesis we consider several random energy models this includes derridas random energy model rem and generalized random energy model grem and a nonhierarchical version bkgrem by bolthausen and kistler the limiting free energy in all these models along with word grem a model proposed by us turn out to be a cute consequence of large deviation principle ldp this ldp argument allows us to consider nongaussian driving distributions as well as external field we could also consider random trees as the underlying tree structure in grem in all these models as expected limiting free energy is not universal unlike the sk model however it is rate specific consideration of nongaussian driving distribution as well as different driving distributions for the different levels of the underlying trees in grem leads to interesting phenomena for example in rem if the hamiltonian is binomial with parameter n and p then the existence of phase transition depends on the parameter p more precisely phase transition takes place only when p12 for another example consider a 2 level grem with exponential driving distribution at the first level and gaussian in the second with equal weights at both the levels then even if the limiting ratio for the second level particles p_2 is 000001 very small the system reduces to a gaussian rem on the other hand if we consider a 2 level grem with gaussian driving distribution at the first level and exponential in the second the system will never reduce to a gaussian rem in either case the system will never reduce to that of an exponential rem etc | [['in', 'this', 'thesis', 'we', 'consider', 'several', 'random', 'energy', 'models', 'this', 'includes', 'derridas', 'random', 'energy', 'model', 'rem', 'and', 'generalized', 'random', 'energy', 'model', 'grem', 'and', 'a', 'nonhierarchical', 'version', 'bkgrem', 'by', 'bolthausen', 'and', 'kistler', 'the', 'limiting', 'free', 'energy', 'in', 'all', 'these', 'models', 'along', 'with', 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711.125 | Convexity in locally conformally flat manifolds with boundary | Given a closed subset $\La$ of the open unit ball $B_1\subset \real^n$, $n
\geq 3$, we will consider a complete Riemannian metric $g$ on $\bar{B_1}
\setminus \La$ of constant scalar curvature equal to $n(n-1)$ and conformally
related to the Euclidean metric. In this paper we prove that every closed
Euclidean ball $\bar{B} \subset B_1\setminus \La$ is convex with respect to the
metric $g$, assuming the mean curvature of the boundary $\partial B_1$ is
nonnegative with respect to the inward normal.
| math.DG math.AP | given a closed subset la of the open unit ball b_1subset realn n geq 3 we will consider a complete riemannian metric g on barb_1 setminus la of constant scalar curvature equal to nn1 and conformally related to the euclidean metric in this paper we prove that every closed euclidean ball barb subset b_1setminus la is convex with respect to the metric g assuming the mean curvature of the boundary partial b_1 is nonnegative with respect to the inward normal | [['given', 'a', 'closed', 'subset', 'la', 'of', 'the', 'open', 'unit', 'ball', 'b_1subset', 'realn', 'n', 'geq', '3', 'we', 'will', 'consider', 'a', 'complete', 'riemannian', 'metric', 'g', 'on', 'barb_1', 'setminus', 'la', 'of', 'constant', 'scalar', 'curvature', 'equal', 'to', 'nn1', 'and', 'conformally', 'related', 'to', 'the', 'euclidean', 'metric', 'in', 'this', 'paper', 'we', 'prove', 'that', 'every', 'closed', 'euclidean', 'ball', 'barb', 'subset', 'b_1setminus', 'la', 'is', 'convex', 'with', 'respect', 'to', 'the', 'metric', 'g', 'assuming', 'the', 'mean', 'curvature', 'of', 'the', 'boundary', 'partial', 'b_1', 'is', 'nonnegative', 'with', 'respect', 'to', 'the', 'inward', 'normal']] | [-0.19543650321280345, 0.12339662966163208, 0.01026274187442584, 0.028516088888490908, -0.1256304244415309, -0.1653448834609336, -0.020208387311774854, 0.3499399510045082, -0.27240363410554636, -0.15443351126472968, 0.07747555880371529, -0.3713930101157763, -0.11530104498916234, 0.09278794929074745, -0.16748513158363026, 0.027148548322610367, 0.04008643498691993, 0.17718431341031995, -0.07609798141623823, -0.2821748082030517, 0.40943779266224456, -0.0781901566287837, 0.16470303798380953, 0.07285561494809838, 0.14249624096406385, -0.012999920302834839, 0.02402614186016413, 0.07242250873838575, -0.24742162347376087, 0.10502585044835144, 0.19215040106493503, 0.12517510895700887, 0.26832734082992643, -0.35957027391869373, -0.1411977760040034, 0.21953093943496546, 0.11020695032456364, -0.08537469915926266, 0.023331629642201826, -0.29220291635451406, 0.16614906770738366, -0.016760661437635858, -0.1910324740366867, 0.0203939922965872, 0.08542723457018535, -0.06897396868309723, -0.2909959590850541, 0.02813515707086294, 0.08063488514520802, 0.00705577860860966, -0.09360236808275565, -0.14656778466768372, -0.050522076980903365, 0.04960600340452332, 0.02480263944613771, 0.24790013810762992, 0.07104674336322858, 0.04038662225222932, -0.03676026088382619, 0.3642293384943444, -0.1612315158932828, -0.3277468274419124, 0.04878935892469226, -0.23839986432964602, -0.10857646104593116, 0.07281375845941977, 0.16763251144230032, 0.18441933001845312, -0.07758786055283287, 0.25823480739685084, -0.07863964014895594, 0.07914442644239618, 0.1354968847754674, -0.031906683275547736, 0.14230703758314633, 0.06597765498699094, 0.18475132888684478, 0.11808988340915395, -0.013495622405734582, -0.030809040682820175, -0.4085853601781986, -0.19415220734663308, -0.1637829383238195, 0.1854358855396127, -0.17875861045057462, -0.22502442094712302, 0.2701349423195307, -0.030256199937027235, 0.21431556984018058, 0.1197035276862339, 0.20670319193353257, 0.015285341845204433, -0.002566323242484568, 0.17526292441508326, 0.11110486769571136, 0.18940267795458055, 0.002064160638464949, -0.18784680243772575, -0.057966760270154245, 0.1374851113770348] |
711.1251 | Manifestation of a complex edge excitation structure in the fractional
quantum Hall regime at high filling factors | We experimentally study equilibration across the sample edge at high
fractional filling factors 4/3, 5/3 under experimental conditions, which allow
us to obtain high imbalance conditions. We find a lack of the full
equilibration across the edge even in the flat-band situation, where no
potential barrier survives at the sample edge. We interpret this result as the
manifestation of complicated edge excitation structure at high fractional
filling factors 4/3, 5/3. Also, a mobility gap in the $\nu_c=1$ incompressible
strip is determined in normal and tilted magnetic fields.
| cond-mat.mes-hall cond-mat.str-el | we experimentally study equilibration across the sample edge at high fractional filling factors 43 53 under experimental conditions which allow us to obtain high imbalance conditions we find a lack of the full equilibration across the edge even in the flatband situation where no potential barrier survives at the sample edge we interpret this result as the manifestation of complicated edge excitation structure at high fractional filling factors 43 53 also a mobility gap in the nu_c1 incompressible strip is determined in normal and tilted magnetic fields | [['we', 'experimentally', 'study', 'equilibration', 'across', 'the', 'sample', 'edge', 'at', 'high', 'fractional', 'filling', 'factors', '43', '53', 'under', 'experimental', 'conditions', 'which', 'allow', 'us', 'to', 'obtain', 'high', 'imbalance', 'conditions', 'we', 'find', 'a', 'lack', 'of', 'the', 'full', 'equilibration', 'across', 'the', 'edge', 'even', 'in', 'the', 'flatband', 'situation', 'where', 'no', 'potential', 'barrier', 'survives', 'at', 'the', 'sample', 'edge', 'we', 'interpret', 'this', 'result', 'as', 'the', 'manifestation', 'of', 'complicated', 'edge', 'excitation', 'structure', 'at', 'high', 'fractional', 'filling', 'factors', '43', '53', 'also', 'a', 'mobility', 'gap', 'in', 'the', 'nu_c1', 'incompressible', 'strip', 'is', 'determined', 'in', 'normal', 'and', 'tilted', 'magnetic', 'fields']] | [-0.1717969513626705, 0.16381110029493126, -0.05236389847129755, 0.0696425473681469, -0.01953602631458606, -0.1258391723272273, 0.12477060722122932, 0.36132752265909623, -0.24606308261810364, -0.3693932171097432, 0.08028513969901692, -0.2376615585994789, -0.08387011244636157, 0.10953138292306798, 0.0008814040914006617, 0.017862233600911052, 0.026651955747591525, -0.027652154186868977, -0.0710912592329042, -0.17771908336575945, 0.27798379454012406, 0.01854439858004622, 0.32676571389210635, 0.11008297485746336, 0.022919116895003564, -0.030604479194822155, 0.0345853452340582, 0.031696832567539024, -0.17862405574441642, 0.011121323364305085, 0.23620631958989577, -0.0625756332629371, 0.2562980736878797, -0.42138625801211066, -0.14909793760884424, 0.050490729692766724, 0.13270848745951194, 0.11063146068655683, -0.0161033948754956, -0.21901015442763938, 0.09658784903157716, -0.15319042806995326, -0.21465498170462147, -0.03249550231828772, 0.0456263717938343, -0.06187840300911888, -0.26551175922832465, 0.14033123988614032, 0.04823455082429252, 0.09303666015380416, -0.10817730675141017, -0.1282581662298876, -0.03400363187819462, 0.11199351727705577, -0.005690646772647555, 0.013996483246934996, 0.13193063158107032, -0.19956634436993614, -0.09480114334969428, 0.3360771864716863, -0.07027417349083157, -0.14454293160681914, 0.23966451793850196, -0.271971319759286, -0.10097924041984624, 0.19862130244701415, 0.1489719272344962, 0.0412028918642251, -0.08781075251794516, 0.048378594853278334, -0.054397293834829295, 0.1081721731354536, 0.09621640577398498, 0.06987623680227746, 0.19275750752923818, 0.15797957593184392, 0.11553178671827732, 0.16968137196575603, -0.15309828131636283, -0.06425745149903085, -0.29210889678790997, -0.15319367961679725, -0.17617303889844266, 0.08509803826695886, -0.07316037457976249, -0.15850079006611786, 0.4037546541584634, 0.1361466210185625, 0.2466449069726313, -0.02558445408552264, 0.22883238617716165, 0.1619146164097213, 0.06550008655879004, 0.12875967512934886, 0.21025674135006708, 0.11713705169058394, 0.10534549374989736, -0.255349059412577, 0.04039484014648987, -0.051155864710694755] |
711.1252 | Energetics of thermal inactivation of excitonically-induced defect
formation in rare-gas solids | Thermodynamic parameters of thermal inactivation of excitonically induced
defect formation in rare-gas solids have been obtained from the fitting of the
temperature dependences of defect formation rates, which were measured under
selective photoexcitation by synchrotron radiation.
| cond-mat.mtrl-sci cond-mat.other | thermodynamic parameters of thermal inactivation of excitonically induced defect formation in raregas solids have been obtained from the fitting of the temperature dependences of defect formation rates which were measured under selective photoexcitation by synchrotron radiation | [['thermodynamic', 'parameters', 'of', 'thermal', 'inactivation', 'of', 'excitonically', 'induced', 'defect', 'formation', 'in', 'raregas', 'solids', 'have', 'been', 'obtained', 'from', 'the', 'fitting', 'of', 'the', 'temperature', 'dependences', 'of', 'defect', 'formation', 'rates', 'which', 'were', 'measured', 'under', 'selective', 'photoexcitation', 'by', 'synchrotron', 'radiation']] | [-0.02014567205009775, 0.2616173267985384, -0.052006172430184155, 0.003865955057941998, 0.06140600931313303, -0.10463985666218731, 0.03833377270752357, 0.4536405231596695, -0.23160458997719818, -0.28282162697157925, 0.006573655807490771, -0.24624501367927426, -0.026453348342329264, 0.1954075781007608, 0.07026435111442374, 0.045581324491649866, -0.040083574051904075, -0.058503450023838215, -0.04700615122500393, -0.20337478107669288, 0.27669288988949525, 0.13191349199041724, 0.3315394746346606, 0.13292205798562565, 0.0138447480276227, -0.009370755119663145, 0.018043518480327394, 0.018899888421098392, -0.22973784435048905, 0.033772831989659205, 0.21439048772056898, 0.0010069988137628469, 0.1528603736983819, -0.4633961307505767, -0.33397042161474627, 0.034431315078917474, 0.0766265088847528, 0.11330093905174483, -0.10545978049534217, -0.1945221595427332, 0.004487299903606375, -0.15853010477601653, -0.079988023537832, -0.02657070070401662, -0.002143377127746741, 0.0876893639150593, -0.26539923519723946, 0.15597301281781661, 0.0019244267346544398, 0.11621754554410775, -0.19182954190505874, -0.11896387761872676, -0.14776872053173268, 0.04767864145752457, 0.0443893374564747, -0.050200749136921435, 0.32753125636372715, -0.09193446879119922, -0.1209901599213481, 0.34588545718644226, -0.07329347959926559, -0.006294280031902922, 0.16912780184712675, -0.17208813308065551, -0.1097150378757053, 0.28373919970666367, 0.06740651234415257, 0.14367940617052632, -0.20168422985201082, 0.02884222815434138, 0.07651626006958799, 0.09570993187500992, 0.20856488780635926, 0.08529710195337732, 0.24201839533877015, 0.15757285512194763, -0.10395545157371089, 0.16344925530655827, -0.13063073416964877, -0.049133695273970567, -0.17079483427935177, -0.03876301285345107, -0.1799617458600551, 0.11943574343523425, -0.07283703147226737, -0.15411789756682184, 0.37577765672985053, 0.05378604411251015, 0.15861930530526377, -0.059721237239298515, 0.19516700754563013, 0.13656868423438734, 0.07504487006614606, -0.010895868194186024, 0.29218423643356395, 0.19209603172364748, 0.04699589581125312, -0.3931382889018601, 0.17167844768199655, 0.005292643844667409] |
711.1253 | Angular momentum conservation in heavy ion collisions at very high
energy | The effects of angular momentum conservation in peripheral heavy ion
collisions at very high energy are investigated. It is shown that the initial
angular momentum of the quark-gluon plasma should enhance the azimuthal
anisotropy of particle spectra (elliptic flow) with respect to the usual
picture where only the initial geometrical eccentricity of the nuclear overlap
region is responsible for the anisotropy. In hydrodynamical terms, the initial
angular momentum entails a non trivial dependence of the initial longitudinal
flow velocity on the transverse coordinates. This gives rise to a non-vanishing
vorticity in the equations of motion which enhances the expansion rate of the
supposedly created fluid compensating for the possible quenching effect of
viscosity. A distinctive signature of the vorticity in the plasma is the
generation of an average polarization of the emitted hadrons, for which we
provide analytical expressions. These phenomena might be better observed at
LHC, where the initial angular momentum density will be larger and where we
envisage an increase of the elliptic flow coefficient v_2 with respect to RHIC
energies.
| nucl-th hep-ph | the effects of angular momentum conservation in peripheral heavy ion collisions at very high energy are investigated it is shown that the initial angular momentum of the quarkgluon plasma should enhance the azimuthal anisotropy of particle spectra elliptic flow with respect to the usual picture where only the initial geometrical eccentricity of the nuclear overlap region is responsible for the anisotropy in hydrodynamical terms the initial angular momentum entails a non trivial dependence of the initial longitudinal flow velocity on the transverse coordinates this gives rise to a nonvanishing vorticity in the equations of motion which enhances the expansion rate of the supposedly created fluid compensating for the possible quenching effect of viscosity a distinctive signature of the vorticity in the plasma is the generation of an average polarization of the emitted hadrons for which we provide analytical expressions these phenomena might be better observed at lhc where the initial angular momentum density will be larger and where we envisage an increase of the elliptic flow coefficient v_2 with respect to rhic energies | [['the', 'effects', 'of', 'angular', 'momentum', 'conservation', 'in', 'peripheral', 'heavy', 'ion', 'collisions', 'at', 'very', 'high', 'energy', 'are', 'investigated', 'it', 'is', 'shown', 'that', 'the', 'initial', 'angular', 'momentum', 'of', 'the', 'quarkgluon', 'plasma', 'should', 'enhance', 'the', 'azimuthal', 'anisotropy', 'of', 'particle', 'spectra', 'elliptic', 'flow', 'with', 'respect', 'to', 'the', 'usual', 'picture', 'where', 'only', 'the', 'initial', 'geometrical', 'eccentricity', 'of', 'the', 'nuclear', 'overlap', 'region', 'is', 'responsible', 'for', 'the', 'anisotropy', 'in', 'hydrodynamical', 'terms', 'the', 'initial', 'angular', 'momentum', 'entails', 'a', 'non', 'trivial', 'dependence', 'of', 'the', 'initial', 'longitudinal', 'flow', 'velocity', 'on', 'the', 'transverse', 'coordinates', 'this', 'gives', 'rise', 'to', 'a', 'nonvanishing', 'vorticity', 'in', 'the', 'equations', 'of', 'motion', 'which', 'enhances', 'the', 'expansion', 'rate', 'of', 'the', 'supposedly', 'created', 'fluid', 'compensating', 'for', 'the', 'possible', 'quenching', 'effect', 'of', 'viscosity', 'a', 'distinctive', 'signature', 'of', 'the', 'vorticity', 'in', 'the', 'plasma', 'is', 'the', 'generation', 'of', 'an', 'average', 'polarization', 'of', 'the', 'emitted', 'hadrons', 'for', 'which', 'we', 'provide', 'analytical', 'expressions', 'these', 'phenomena', 'might', 'be', 'better', 'observed', 'at', 'lhc', 'where', 'the', 'initial', 'angular', 'momentum', 'density', 'will', 'be', 'larger', 'and', 'where', 'we', 'envisage', 'an', 'increase', 'of', 'the', 'elliptic', 'flow', 'coefficient', 'v_2', 'with', 'respect', 'to', 'rhic', 'energies']] | [-0.1599921335868613, 0.22956375368871468, -0.1519790080354436, 0.06629252923444597, -0.05329142573607192, -0.0637351281031148, -0.10399536558862969, 0.3076503500665371, -0.2622631049575015, -0.28264974950573196, -0.010560579463365794, -0.2843902614828996, 0.040037463038266136, 0.16867699795819796, 0.02189257127119126, 0.0473000207899752, 0.07895887299168941, 0.039898243602371986, -0.06471840126365572, -0.16323002281119628, 0.3224223726361753, 0.1176214312123151, 0.2708451442119014, 0.12783191714239323, 0.12478161469704843, -0.0008195613502831645, -0.02672277060148947, 0.05005832191158323, -0.14972081695447947, 0.0563059163542607, 0.20395872976517876, -0.008658207748408262, 0.1944250568284551, -0.3858821919306337, -0.17856135285550975, 0.08341599524766745, 0.1681206118223941, 0.13735910112339722, -0.05803480156363564, -0.2031213434553043, 0.04780636487173379, -0.19684945322530117, -0.20011464835782508, -0.05268876797740342, 0.05413756734621576, 0.05005152321574036, -0.30937267509639005, 0.17377563158717718, 0.054237642573095816, 0.04507053778049229, -0.08000921134869272, -0.11571962489192024, -0.1281255632208262, 0.04736787885712793, 0.09977746248309839, 0.07278444320286458, 0.15372683271204493, -0.18239908290265203, -0.04758471884694747, 0.39291574346235375, -0.02693201598813596, -0.2136722388973384, 0.14827994134201739, -0.2399261600063371, -0.07249698485113207, 0.1786480373568359, 0.21725196403456648, 0.0929280432840174, -0.10318913709539167, 0.017590287819469745, -0.009097562304084227, 0.13686443897710882, 0.0910196165174698, 0.08186646172173881, 0.24634210422979613, 0.1198921367052318, 0.053816560588540195, 0.11020697533252927, -0.11189511327601305, -0.09244850407538914, -0.33895125799957726, -0.13368163748396658, -0.1583864338254567, 0.05991594623935791, -0.12148808383167858, -0.11843709206740867, 0.40911760825039334, 0.11319968629564661, 0.24365593708050304, -0.05491182180067707, 0.31304144270373563, 0.1468378552397164, 0.04812052610432568, 0.10639984908142272, 0.2996875486697334, 0.1440115486664665, 0.20485683228023824, -0.31773605772477137, 0.07165893849599138, 0.05082362540997565] |
711.1254 | Gauss-Codazzi Formalism to Braneworld Scenario within Brans-Dicke Theory | We apply the Gauss-Codacci formalism to brane worlds scenario within the
framework of Brans-Dicke gravity. The compactification is taken from six to
five dimensions in order to formalize brane-world models with hybrid
compactification in scalar-tensor theories.
| hep-th | we apply the gausscodacci formalism to brane worlds scenario within the framework of bransdicke gravity the compactification is taken from six to five dimensions in order to formalize braneworld models with hybrid compactification in scalartensor theories | [['we', 'apply', 'the', 'gausscodacci', 'formalism', 'to', 'brane', 'worlds', 'scenario', 'within', 'the', 'framework', 'of', 'bransdicke', 'gravity', 'the', 'compactification', 'is', 'taken', 'from', 'six', 'to', 'five', 'dimensions', 'in', 'order', 'to', 'formalize', 'braneworld', 'models', 'with', 'hybrid', 'compactification', 'in', 'scalartensor', 'theories']] | [-0.11939978175279167, 0.06480652158562508, -0.10348692399242686, 0.15961060145329814, -0.14009620513146123, -0.16163471460135448, -0.05044688894930813, 0.2562245457019243, -0.1291321690918671, -0.3318128692141424, -0.0001586245068918086, -0.24135066804269123, -0.11836787116610342, 0.09218775558595856, -0.13202461236182395, -0.018997972313728597, -0.09448664562983645, 0.020571851533734135, -0.05011056223884225, -0.29836220312346184, 0.42133169376756996, -0.0004714390056000815, 0.2216161558818486, -0.059933259824497834, 0.06687988131307065, -0.10264504878109114, 0.05182109200136943, 0.0677323956915643, -0.1940579270530078, 0.11902386868476039, 0.2513222512446494, 0.17498355780521202, 0.14892894422842395, -0.4481244909370111, -0.3184729210204548, 0.032600686988896795, 0.1340846966745125, 0.17689099142120945, 0.08295951963454071, -0.29866005449245375, 0.02410445670183334, -0.2578257068267299, -0.13789204321801662, -0.06271707662381232, -0.015215008506654866, -0.19882702765365443, -0.24928680116621157, 0.02090723128963469, -0.07679806062434283, -0.035050421125359006, -0.13568513196272156, -0.031513808062300086, -0.0033389191246694988, -0.0071133205977578955, 0.17771935558024174, 0.021621397191969056, 0.10248497711856747, -0.0674118771356815, -0.17697366706690648, 0.45981600425309604, -0.18319415975323258, -0.21483381075732824, 0.16798926043945053, -0.19036776448289552, -0.18275525629158235, 0.019999331510108378, 0.12716050011416277, 0.21524172224518326, -0.17414348760050619, 0.23730343531092835, 0.06583025559989943, 0.13991552568040788, 0.11986793358422194, 0.034859618877008974, 0.3116736146621406, 0.21896990547732761, -0.0486378839187738, 0.14351721298104772, -0.05207302945362042, -0.19089485032276976, -0.43382915212876266, -0.08505621328620488, -0.04616872500628233, 0.03441048341725642, -0.1720324905278782, -0.12071771742517336, 0.3334346856119939, 0.21078179920247445, 0.07455053128716019, 0.06046657290102707, 0.22331302757892343, -0.019356635347422626, 0.10221666819415987, 0.02026941142200182, 0.28477031401255065, 0.14491029319146442, 0.10981256635730258, -0.16097818877056447, -0.1909112287297224, 0.16911915561649948] |
711.1255 | Mesoscopic Coulomb Supersolid | When a few tens of charged particles are trapped in a spherical electrostatic
potential at low temperature they form concentric shells resembling atoms.
These ``artificial atoms'' can be easily controlled by varying the confinement
strength. We analyze such systems for the case that the particles are bosons
and find superfluid behavior which even persists in the solid state. This novel
state of matter is a mesoscopic supersolid.
| cond-mat.stat-mech | when a few tens of charged particles are trapped in a spherical electrostatic potential at low temperature they form concentric shells resembling atoms these artificial atoms can be easily controlled by varying the confinement strength we analyze such systems for the case that the particles are bosons and find superfluid behavior which even persists in the solid state this novel state of matter is a mesoscopic supersolid | [['when', 'a', 'few', 'tens', 'of', 'charged', 'particles', 'are', 'trapped', 'in', 'a', 'spherical', 'electrostatic', 'potential', 'at', 'low', 'temperature', 'they', 'form', 'concentric', 'shells', 'resembling', 'atoms', 'these', 'artificial', 'atoms', 'can', 'be', 'easily', 'controlled', 'by', 'varying', 'the', 'confinement', 'strength', 'we', 'analyze', 'such', 'systems', 'for', 'the', 'case', 'that', 'the', 'particles', 'are', 'bosons', 'and', 'find', 'superfluid', 'behavior', 'which', 'even', 'persists', 'in', 'the', 'solid', 'state', 'this', 'novel', 'state', 'of', 'matter', 'is', 'a', 'mesoscopic', 'supersolid']] | [-0.1431603951261504, 0.33085353548791424, -0.032377485206712096, 0.06862305151993658, 0.04061862671706103, -0.18018709286463572, -0.0027145564889729914, 0.3684484546642695, -0.2607805773532435, -0.29957689146108146, 0.019241485105299237, -0.30248876611021025, -0.06977085638513315, 0.12321472255540873, 0.0389536157669152, 0.00849812247081479, 0.019402108805031695, 0.006963529495466778, -0.06022996635614102, -0.2114196238594491, 0.2825068031201389, 0.0020612533440563215, 0.23801555295488727, 0.06597890284385032, 0.05024574918033027, -0.05370269897880394, 0.14907837239677893, 0.04979834458165204, -0.1010989530830611, 0.04393281408154698, 0.20554643714975968, -0.05779128699605145, 0.24320004449517868, -0.5090267892593323, -0.22107688218716587, 0.12512065267968756, 0.20482539505100072, 0.20623563983957213, -0.10237774298762653, -0.3088689579996767, 0.013390739920980005, -0.19090049641568269, -0.18564950921503243, -0.11907799405726924, 0.02151882831952465, 0.07152177560327352, -0.24285687800886027, 0.11252068642026453, 0.037896985334080105, 0.04734166704618664, -0.08574630276807375, -0.06809027714015388, 0.01286697629561175, 0.03470039460677723, -0.0037438441380691617, -0.0036615045018382926, 0.2461695387653673, -0.16914219039825917, -0.013433309987799, 0.40362347152306516, -0.06888141745089818, -0.18628611177928858, 0.2500669672640402, -0.16163455886043496, -0.048781820114201575, 0.1716553964443616, 0.18469304556666472, 0.09549874088157025, -0.13019459979341944, 0.04307761835933441, -0.07277418458278277, 0.18476281768239255, 0.10526340356124426, 0.04619663878719309, 0.34372802345610376, 0.18372193870218054, 0.006156450915914863, 0.1788983620936051, -0.09881619105476942, -0.0999783163042322, -0.2750098954802796, -0.16879792979209504, -0.2020336840746563, 0.005810133779226844, -0.07790111726016995, -0.15587141362032783, 0.34371239271835047, 0.07407570738039577, 0.18837275821020577, -0.05528173773764952, 0.24243317690413835, 0.08915624742521279, 0.050627180333457776, 0.04253014294541816, 0.30458675479992475, 0.09920827844597177, 0.0881286226073975, -0.2101680952013095, 0.003039432946703772, -0.0012597656433484448] |
711.1256 | Influence of electronic correlations on the frequency-dependent hopping
transport in Si:P | At low energy scales charge transport in the insulating Si:P is dominated by
activated hopping between the localized donor electron states. Thus,
theoretical models for a disordered system with electron-electron interaction
are appropriate to interpret the electric conductivity spectra. With a newly
developed technique we have measured the complex broadband microwave
conductivity of Si:P from 100 MHz to 5 GHz in a broad range of phosphorus
concentration $n/n_c$ from 0.56 to 0.95 relative to the critical value
$n_c=3.5\times 10^{18}$ cm$^{-3}$ corresponding to the metal-insulator
transition driven by doping. At our base temperature of $T =1.1$ K the samples
are in the zero-phonon regime where they show a super-linear frequency
dependence of the conductivity indicating the influence of the Coulomb gap in
the density of the impurity states. At higher doping $n\to n_c$, an abrupt drop
in the conductivity power law $\sig(\omega)\sim\omega^\alpha$ is observed. The
dielectric function $\eps$ increases upon doping following a power law in
($1-n/n_c$). Dynamic response at elevated temperatures has also been
investigated.
| cond-mat.dis-nn cond-mat.str-el | at low energy scales charge transport in the insulating sip is dominated by activated hopping between the localized donor electron states thus theoretical models for a disordered system with electronelectron interaction are appropriate to interpret the electric conductivity spectra with a newly developed technique we have measured the complex broadband microwave conductivity of sip from 100 mhz to 5 ghz in a broad range of phosphorus concentration nn_c from 056 to 095 relative to the critical value n_c35times 1018 cm3 corresponding to the metalinsulator transition driven by doping at our base temperature of t 11 k the samples are in the zerophonon regime where they show a superlinear frequency dependence of the conductivity indicating the influence of the coulomb gap in the density of the impurity states at higher doping nto n_c an abrupt drop in the conductivity power law sigomegasimomegaalpha is observed the dielectric function eps increases upon doping following a power law in 1nn_c dynamic response at elevated temperatures has also been investigated | [['at', 'low', 'energy', 'scales', 'charge', 'transport', 'in', 'the', 'insulating', 'sip', 'is', 'dominated', 'by', 'activated', 'hopping', 'between', 'the', 'localized', 'donor', 'electron', 'states', 'thus', 'theoretical', 'models', 'for', 'a', 'disordered', 'system', 'with', 'electronelectron', 'interaction', 'are', 'appropriate', 'to', 'interpret', 'the', 'electric', 'conductivity', 'spectra', 'with', 'a', 'newly', 'developed', 'technique', 'we', 'have', 'measured', 'the', 'complex', 'broadband', 'microwave', 'conductivity', 'of', 'sip', 'from', '100', 'mhz', 'to', '5', 'ghz', 'in', 'a', 'broad', 'range', 'of', 'phosphorus', 'concentration', 'nn_c', 'from', '056', 'to', '095', 'relative', 'to', 'the', 'critical', 'value', 'n_c35times', '1018', 'cm3', 'corresponding', 'to', 'the', 'metalinsulator', 'transition', 'driven', 'by', 'doping', 'at', 'our', 'base', 'temperature', 'of', 't', '11', 'k', 'the', 'samples', 'are', 'in', 'the', 'zerophonon', 'regime', 'where', 'they', 'show', 'a', 'superlinear', 'frequency', 'dependence', 'of', 'the', 'conductivity', 'indicating', 'the', 'influence', 'of', 'the', 'coulomb', 'gap', 'in', 'the', 'density', 'of', 'the', 'impurity', 'states', 'at', 'higher', 'doping', 'nto', 'n_c', 'an', 'abrupt', 'drop', 'in', 'the', 'conductivity', 'power', 'law', 'sigomegasimomegaalpha', 'is', 'observed', 'the', 'dielectric', 'function', 'eps', 'increases', 'upon', 'doping', 'following', 'a', 'power', 'law', 'in', '1nn_c', 'dynamic', 'response', 'at', 'elevated', 'temperatures', 'has', 'also', 'been', 'investigated']] | [-0.12121750508078638, 0.21113798848468665, -0.014308125049416205, -0.012966927760395647, 0.044768048822592346, -0.16815982437635094, 0.11646180513981776, 0.3934314002593358, -0.24654270924144872, -0.31373880348271793, -0.005445436590328169, -0.36225068176533154, -0.04881577636690143, 0.1571988153512472, 0.023617617658017502, 0.02257922653146203, -0.08584233209416041, -0.015612019732217937, -0.07295770422098469, -0.16210523120524292, 0.2497527679014537, 0.07598859956631736, 0.33464419967379927, 0.13354244092544024, 0.02373346797891973, -0.03830652430985571, 0.11688092182516868, 0.027055170447393147, -0.13491024203989424, 0.0005105876465856937, 0.2966359155898654, -0.08372304890445652, 0.2472536256738053, -0.384449516905236, -0.2285178491190352, 0.0039269422270058665, 0.1151403974092071, 0.09246601041673717, -0.04564075080252448, -0.22803936882036518, 0.07211487450245997, -0.1662720527175101, -0.1380073962450016, -0.002988363605029996, 0.05820119183476048, 0.014328835146892586, -0.2794746870468198, 0.14827706400189336, 0.005864084724354468, 0.08194008571193497, -0.12419448034078986, -0.13710451172305455, -0.06380213063388465, 0.06633061063360929, 0.03385026618136944, 0.042688395336477294, 0.2227115994060619, -0.10168236273306387, -0.03877299474868463, 0.29995360402792787, -0.08790320183587387, -0.046954706138758746, 0.17683781312425034, -0.23586235730621366, -0.0651894664216893, 0.2382687444936622, 0.13075616097876824, 0.08436001179551915, -0.12165698629083906, 0.08450644489332465, 0.048659316398473575, 0.2142546492467784, 0.06323616943080668, 0.05881295567033468, 0.23998355399817228, 0.18401415457655848, 0.04448936025491329, 0.11852916807761232, -0.12582382220231617, -0.01407728341471312, -0.21643083367818666, -0.10002992677582818, -0.2274828386251573, 0.11910759133896158, -0.12913248530750013, -0.15136156313661717, 0.4011337753684608, 0.14881352262203523, 0.2287345000522579, -0.003311030688856579, 0.2355864483224987, 0.19991777731568472, 0.056809048634022474, 0.06884069714363215, 0.26737667576059193, 0.16564346503115684, 0.17199866175881506, -0.2937612396026789, 0.03924171134461591, -0.014342964542232006] |
711.1257 | Bifurcations in the regularized Ericksen bar model | We consider the regularized Ericksen model of an elastic bar on an elastic
foundation on an interval with Dirichlet boundary conditions as a two-parameter
bifurcation problem. We explore, using local bifurcation analysis and
continuation methods, the structure of bifurcations from double zero
eigenvalues. Our results provide evidence in support of M\"uller's conjecture
\cite{Muller} concerning the symmetry of local minimizers of the associated
energy functional and describe in detail the structure of the primary branch
connections that occur in this problem. We give a reformulation of M\"uller's
conjecture and suggest two further conjectures based on the local analysis and
numerical observations. We conclude by analysing a ``loop'' structure that
characterizes $(k,3k)$ bifurcations.
| math.DS | we consider the regularized ericksen model of an elastic bar on an elastic foundation on an interval with dirichlet boundary conditions as a twoparameter bifurcation problem we explore using local bifurcation analysis and continuation methods the structure of bifurcations from double zero eigenvalues our results provide evidence in support of mullers conjecture citemuller concerning the symmetry of local minimizers of the associated energy functional and describe in detail the structure of the primary branch connections that occur in this problem we give a reformulation of mullers conjecture and suggest two further conjectures based on the local analysis and numerical observations we conclude by analysing a loop structure that characterizes k3k bifurcations | [['we', 'consider', 'the', 'regularized', 'ericksen', 'model', 'of', 'an', 'elastic', 'bar', 'on', 'an', 'elastic', 'foundation', 'on', 'an', 'interval', 'with', 'dirichlet', 'boundary', 'conditions', 'as', 'a', 'twoparameter', 'bifurcation', 'problem', 'we', 'explore', 'using', 'local', 'bifurcation', 'analysis', 'and', 'continuation', 'methods', 'the', 'structure', 'of', 'bifurcations', 'from', 'double', 'zero', 'eigenvalues', 'our', 'results', 'provide', 'evidence', 'in', 'support', 'of', 'mullers', 'conjecture', 'citemuller', 'concerning', 'the', 'symmetry', 'of', 'local', 'minimizers', 'of', 'the', 'associated', 'energy', 'functional', 'and', 'describe', 'in', 'detail', 'the', 'structure', 'of', 'the', 'primary', 'branch', 'connections', 'that', 'occur', 'in', 'this', 'problem', 'we', 'give', 'a', 'reformulation', 'of', 'mullers', 'conjecture', 'and', 'suggest', 'two', 'further', 'conjectures', 'based', 'on', 'the', 'local', 'analysis', 'and', 'numerical', 'observations', 'we', 'conclude', 'by', 'analysing', 'a', 'loop', 'structure', 'that', 'characterizes', 'k3k', 'bifurcations']] | [-0.17805904206401163, 0.02876210666767326, -0.1442466776672785, 0.08412549312657959, -0.05797816870879348, -0.08827521920699728, 0.06854448920765191, 0.30007806088809574, -0.2770191430890668, -0.23664757428229402, 0.1235545820763779, -0.2444306270373182, -0.24786395328375724, 0.17397358492144957, -0.04357338714661128, 0.04927473015433878, 0.09571565424493693, 0.025845168664925432, -0.06320112260964213, -0.18318393513338144, 0.37066129119981317, 0.003029046973230642, 0.25338813867377236, 0.08615713411884184, 0.05700010240265946, 0.02110761361957075, -0.030351161343737616, 0.0034907603756003424, -0.23765503018392237, 0.11714490583068221, 0.1937700571479498, 0.08975008316551668, 0.27223441076311156, -0.46396191753105287, -0.20488243634650194, 0.07534586888558548, 0.13840227486331277, 0.09022660644878762, -0.04686356519259205, -0.2710945034707221, 0.08777612767239965, -0.13093572097121303, -0.20625006199820786, -0.08734466987362968, -0.02942485761734734, 0.021123652262057802, -0.24301168974862783, 0.11998149758597854, 0.08872994874527149, 0.12096237237437056, -0.16219618417100484, -0.0699782628959062, -0.03843039955832748, 0.07117090350307456, 0.07981259341847254, -0.026474901005078894, 0.06996220900621607, -0.1153403074894989, -0.15973932988548634, 0.31570917647331953, -0.035317754184981, -0.19291048466415922, 0.17107459361271915, -0.10052798993868428, -0.18484668366593915, 0.09293594485610177, 0.14825267686482962, 0.11204683334233427, -0.08515951324653717, 0.11022866792216418, -0.08319756427860964, 0.10943379735898807, 0.0795961299018268, -0.05426549837698118, 0.17558902007268118, 0.1780298528167496, 0.10224562214362785, 0.17367201194449097, -0.059377655319104806, -0.125368485184506, -0.3563531041828864, -0.1365538653447677, -0.12131085867327082, 0.0524332441855222, -0.09887793479399722, -0.20937503656423692, 0.4044233798348439, 0.10335559417587628, 0.25661448901946393, 0.06010145340285717, 0.21783547845899787, 0.1262313120297814, 1.1715623592838234e-05, 0.05916901277976298, 0.22061214504609689, 0.17882260571045955, 0.04889513388566605, -0.23894206987941688, 0.010499966386363867, 0.11521768109411548] |
711.1258 | The critical contact process in a randomly evolving environment dies out | Bezuidenhout and Grimmett proved that the critical contact process dies out.
Here, we generalize the result to the so called contact process in a random
evolving environment (CPREE), introduced by Erik Broman. This process is a
generalization of the contact process where the recovery rate can vary between
two values. The rate which it chooses is determined by a background process,
which evolves independently at different sites. As for the contact process, we
can similarly define a critical value in terms of survival for this process. In
this paper we prove that this definition is independent of how we start the
background process, that finite and infinite survival (meaning nontriviality of
the upper invariant measure) are equivalent and finally that the process dies
out at criticality.
| math.PR | bezuidenhout and grimmett proved that the critical contact process dies out here we generalize the result to the so called contact process in a random evolving environment cpree introduced by erik broman this process is a generalization of the contact process where the recovery rate can vary between two values the rate which it chooses is determined by a background process which evolves independently at different sites as for the contact process we can similarly define a critical value in terms of survival for this process in this paper we prove that this definition is independent of how we start the background process that finite and infinite survival meaning nontriviality of the upper invariant measure are equivalent and finally that the process dies out at criticality | [['bezuidenhout', 'and', 'grimmett', 'proved', 'that', 'the', 'critical', 'contact', 'process', 'dies', 'out', 'here', 'we', 'generalize', 'the', 'result', 'to', 'the', 'so', 'called', 'contact', 'process', 'in', 'a', 'random', 'evolving', 'environment', 'cpree', 'introduced', 'by', 'erik', 'broman', 'this', 'process', 'is', 'a', 'generalization', 'of', 'the', 'contact', 'process', 'where', 'the', 'recovery', 'rate', 'can', 'vary', 'between', 'two', 'values', 'the', 'rate', 'which', 'it', 'chooses', 'is', 'determined', 'by', 'a', 'background', 'process', 'which', 'evolves', 'independently', 'at', 'different', 'sites', 'as', 'for', 'the', 'contact', 'process', 'we', 'can', 'similarly', 'define', 'a', 'critical', 'value', 'in', 'terms', 'of', 'survival', 'for', 'this', 'process', 'in', 'this', 'paper', 'we', 'prove', 'that', 'this', 'definition', 'is', 'independent', 'of', 'how', 'we', 'start', 'the', 'background', 'process', 'that', 'finite', 'and', 'infinite', 'survival', 'meaning', 'nontriviality', 'of', 'the', 'upper', 'invariant', 'measure', 'are', 'equivalent', 'and', 'finally', 'that', 'the', 'process', 'dies', 'out', 'at', 'criticality']] | [-0.1024967875406146, 0.17179399017989636, -0.11176065314747394, 0.04474259872101538, -0.013380192410200834, -0.139909012272954, 0.11852691198233516, 0.3403035559281707, -0.28525769925117495, -0.2347072486318648, 0.1096580927753821, -0.25868109315633775, -0.1780839551240206, 0.13441298412531613, -0.057915530001744625, 0.012010914723505265, 0.039515724055469034, 0.04879664118215442, -0.021468072503805162, -0.26136430633068086, 0.3716142655014992, 0.09155399733036756, 0.2779469494186342, 0.05957986953295767, 0.12464509019255639, 0.021036064613610506, -0.028972300447523594, 0.004794378908583894, -0.16054208664712497, 0.032025200218777174, 0.21494479033350944, 0.10625463844876504, 0.2616892893302138, -0.34260902754962447, -0.18059093341231347, 0.13715354450419545, 0.16482982337847352, 0.07116695415787398, 0.012592616012319922, -0.25062758108973504, 0.10811576059088111, -0.15508222966827453, -0.1375358778014779, -0.012362099381163717, 0.05509736955165863, -0.011640183236449957, -0.2798434917107224, 0.04874521170556545, 0.11793392673134803, 0.013065420330269263, -0.02681079115346074, -0.04464755509980023, -0.003542796865105629, 0.15710449369996787, 0.029031026840908452, 0.05425509794801474, 0.17218181804195046, -0.08633822740614414, -0.09225762157142162, 0.31231720493733883, -0.08790894389385358, -0.21325416723708623, 0.182626466691494, -0.12764448452740906, -0.15257292806729675, 0.10971957094967365, 0.14782671112264506, 0.11240829415619373, -0.17931329292804002, 0.0767647724286653, -0.015179665096104146, 0.0898447228660807, 0.08363221425190567, -0.04762873850017786, 0.1819134734645486, 0.15555912614241243, 0.08153763749450445, 0.1637294971831143, -0.04105306750535965, -0.131330704908818, -0.31729521792382004, -0.18251853036880494, -0.1799572263713926, 0.10178470690362156, -0.07392250713298563, -0.15843413301929832, 0.33662331314384936, 0.18279798402637243, 0.24361884224414826, 0.08103828030638396, 0.22823532138764857, 0.15894160107430072, 0.012218759697861969, 0.03954443573206663, 0.1976418033130467, 0.09119673338159918, 0.07890294662117958, -0.1584514248901978, 0.12897426356375216, 0.059621102049946785] |
711.1259 | Density waves and Cooper pairing on the honeycomb lattice | Motivated by the surge in research activities on graphene, we investigate
instabilities of electrons on the honeycomb lattice, interacting by onsite and
nearest-neighbor terms, using a renormalization group scheme. Near half
band-filling, critical minimal interaction strengths are required for
instabilities toward antiferromagnetic or charge-density wave order. Away from
half filling, f-wave triplet pairing and d+id singlet pairing instabilities are
found to emerge out of density-wave regimes.
| cond-mat.str-el cond-mat.supr-con | motivated by the surge in research activities on graphene we investigate instabilities of electrons on the honeycomb lattice interacting by onsite and nearestneighbor terms using a renormalization group scheme near half bandfilling critical minimal interaction strengths are required for instabilities toward antiferromagnetic or chargedensity wave order away from half filling fwave triplet pairing and did singlet pairing instabilities are found to emerge out of densitywave regimes | [['motivated', 'by', 'the', 'surge', 'in', 'research', 'activities', 'on', 'graphene', 'we', 'investigate', 'instabilities', 'of', 'electrons', 'on', 'the', 'honeycomb', 'lattice', 'interacting', 'by', 'onsite', 'and', 'nearestneighbor', 'terms', 'using', 'a', 'renormalization', 'group', 'scheme', 'near', 'half', 'bandfilling', 'critical', 'minimal', 'interaction', 'strengths', 'are', 'required', 'for', 'instabilities', 'toward', 'antiferromagnetic', 'or', 'chargedensity', 'wave', 'order', 'away', 'from', 'half', 'filling', 'fwave', 'triplet', 'pairing', 'and', 'did', 'singlet', 'pairing', 'instabilities', 'are', 'found', 'to', 'emerge', 'out', 'of', 'densitywave', 'regimes']] | [-0.26369276170788164, 0.26217116721708217, 0.03220516184316666, 0.10406470897071289, -0.06130888163478988, -0.18512314411980862, 0.11262351627264058, 0.3912867224478925, -0.2092207002128954, -0.2180270135797786, 0.006225305704653941, -0.35246179196419136, -0.1260108837794343, 0.10509100557079143, 0.1388081431699296, -0.03183939307928085, -0.04448042999931865, -0.03532651047024763, -0.13170101352134775, -0.2365385592548233, 0.3504074338513116, 0.00017231430463267094, 0.29718542778441176, 0.087619958254932, -0.04597180779797561, 0.024630820950154553, 0.10350032718005506, -0.04066455039499102, -0.16507376707158983, 0.006006975344269339, 0.24102278457069065, -0.15679091191145056, 0.2661143277743549, -0.5011938822201707, -0.24165890690390812, 0.02716052739626982, 0.23008387932328112, 0.1703955897268536, -0.022302478802333953, -0.3573516997663925, -0.004044903759759935, -0.22141820837207365, -0.16452162293805458, -0.08945755661945, -0.04032816450026902, -0.0008834019924203554, -0.2391427802345292, 0.12357712987189491, 0.0028888268932474384, 0.13167717566036366, -0.06714769197402126, -0.1295322790092817, -0.1174485709094976, 0.016544126259925015, 0.09836690939229095, 0.09266696073763976, 0.1341747314118865, -0.15210336870090527, -0.12411057184252774, 0.38032279578460887, -0.008594615760640327, -0.08146882266031974, 0.1826749444925085, -0.14589757348100343, -0.04302257714990639, 0.1986012690692653, 0.11031123327980326, -0.018250651234252888, -0.06757884712494684, 0.05968117101513075, -0.0026681196563224535, 0.13631928626758358, 0.03304753422906453, 0.06563213247467171, 0.29591455364204716, 0.15044294795811627, 0.07945173987272111, 0.1206357679188703, -0.07645442089150575, -0.15400098288205988, -0.25997269622078445, -0.06909554573058178, -0.19718345968673626, 0.012434847194967777, -0.002152472472957787, -0.12998042673291021, 0.42488042770188866, 0.1549732281163222, 0.1402602935012317, -0.10565350732102877, 0.170583922640865, 0.071905242265061, 0.08910616363793837, 0.06411574830152941, 0.24973079042198756, 0.11566727034832266, 0.03582640013403513, -0.30048081876046845, 0.017176224158681704, 0.13137098934473188] |
711.126 | Influence of synaptic interaction on firing synchronization and spike
death in excitatory neuronal networks | We investigated the influence of efficacy of synaptic interaction on firing
synchronization in excitatory neuronal networks. We found spike death
phenomena, namely, the state of neurons transits from limit cycle to fixed
point or transient state. The phenomena occur under the perturbation of
excitatory synaptic interaction that has a high efficacy. We showed that the
decrease of synaptic current results in spike death through depressing the
feedback of sodium ionic current. In the networks with spike death property the
degree of synchronization is lower and unsensitive to the heterogeneity of
neurons. The mechanism of the influence is that the transition of neuron state
disrupts the adjustment of the rhythm of neuron oscillation and prevents
further increase of firing synchronization.
| cond-mat.dis-nn q-bio.NC | we investigated the influence of efficacy of synaptic interaction on firing synchronization in excitatory neuronal networks we found spike death phenomena namely the state of neurons transits from limit cycle to fixed point or transient state the phenomena occur under the perturbation of excitatory synaptic interaction that has a high efficacy we showed that the decrease of synaptic current results in spike death through depressing the feedback of sodium ionic current in the networks with spike death property the degree of synchronization is lower and unsensitive to the heterogeneity of neurons the mechanism of the influence is that the transition of neuron state disrupts the adjustment of the rhythm of neuron oscillation and prevents further increase of firing synchronization | [['we', 'investigated', 'the', 'influence', 'of', 'efficacy', 'of', 'synaptic', 'interaction', 'on', 'firing', 'synchronization', 'in', 'excitatory', 'neuronal', 'networks', 'we', 'found', 'spike', 'death', 'phenomena', 'namely', 'the', 'state', 'of', 'neurons', 'transits', 'from', 'limit', 'cycle', 'to', 'fixed', 'point', 'or', 'transient', 'state', 'the', 'phenomena', 'occur', 'under', 'the', 'perturbation', 'of', 'excitatory', 'synaptic', 'interaction', 'that', 'has', 'a', 'high', 'efficacy', 'we', 'showed', 'that', 'the', 'decrease', 'of', 'synaptic', 'current', 'results', 'in', 'spike', 'death', 'through', 'depressing', 'the', 'feedback', 'of', 'sodium', 'ionic', 'current', 'in', 'the', 'networks', 'with', 'spike', 'death', 'property', 'the', 'degree', 'of', 'synchronization', 'is', 'lower', 'and', 'unsensitive', 'to', 'the', 'heterogeneity', 'of', 'neurons', 'the', 'mechanism', 'of', 'the', 'influence', 'is', 'that', 'the', 'transition', 'of', 'neuron', 'state', 'disrupts', 'the', 'adjustment', 'of', 'the', 'rhythm', 'of', 'neuron', 'oscillation', 'and', 'prevents', 'further', 'increase', 'of', 'firing', 'synchronization']] | [-0.17784239713321714, 0.17422957062924735, 0.021628068885257264, 0.027728759034090684, -0.02838291010052404, -0.17276773613901072, 0.14397035734414929, 0.37202549966036524, -0.230925821957468, -0.2207168792276604, 0.06014121132570186, -0.2620392141221952, -0.302497168934411, 0.12571523033919893, -0.07449631019252814, -0.015664573529923037, 0.0803506249765388, 0.11046891216337368, 0.052037671308166215, -0.22864785194083923, 0.2616259665189295, 0.04608275673250441, 0.30630791192764745, 0.02188762239162896, 0.1327365805481036, -0.06466310108158768, 0.05013736489643695, -0.04933841015357023, -0.07071231640947488, 0.04470167089911068, 0.21241502307390622, 0.15777686970237986, 0.3208217869097946, -0.5330993408540717, -0.2876794925663902, 0.15014577417305724, 0.13211876304992357, 0.15751430531572394, -0.002595032113330329, -0.27589790283569265, 0.06765111409002493, -0.15629728796939316, -0.058014192289727574, -0.02617182514919829, 0.05904085678831056, 0.14035806212811294, -0.28141415964405075, 0.15424717222379536, 0.09210862120527367, 0.08183091576015498, -0.0850433132086857, -0.013398729726484343, -0.0822478257620535, 0.17803330457096278, 0.04194903786258944, -0.012429106194025078, 0.22828928686819283, -0.19473440589837165, -0.12669453245270684, 0.23146276814596994, -0.07097353772534166, -0.11551074248527278, 0.17916133919605562, -0.16596127790594553, -0.09406822115308096, 0.13935646787285805, 0.1594344330834178, -0.004396296904555389, -0.12225932666264913, -0.054934400721734875, 0.06548316484051091, 0.20082124221229636, 0.10498858420100032, 0.0319700942280851, 0.16012971231150402, 0.27455452622399673, 0.03957848123298222, 0.13917473476074887, -0.13059043559292724, -0.12555269165230648, -0.23426573776186077, -0.007011744561566024, -0.1478301523460717, 0.07032689305576065, -0.13198767729986952, -0.18038882016587784, 0.4996070468078266, 0.1431921112405903, 0.19202892841505154, 0.0784553849380933, 0.18805246727008904, 0.09713077733778402, 0.06606608137054008, 0.00496402259196053, 0.25170687244845036, 0.1856762037589019, 0.13797724687204765, -0.36343462405014126, 0.18867005045455293, -0.00496579274269087] |
711.1261 | Who's talking first? Consensus or lack thereof in coevolving opinion
formation models | We investigate different opinion formation models on adaptive network
topologies. Depending on the dynamical process, rewiring can either (i) lead to
the elimination of interactions between agents in different states, and
accelerate the convergence to a consensus state or break the network in
non-interacting groups or (ii) counter-intuitively, favor the existence of
diverse interacting groups for exponentially long times. The mean-field
analysis allows to elucidate the mechanisms at play. Strikingly, allowing the
interacting agents to bear more than one opinion at the same time drastically
changes the model's behavior and leads to fast consensus.
| physics.soc-ph | we investigate different opinion formation models on adaptive network topologies depending on the dynamical process rewiring can either i lead to the elimination of interactions between agents in different states and accelerate the convergence to a consensus state or break the network in noninteracting groups or ii counterintuitively favor the existence of diverse interacting groups for exponentially long times the meanfield analysis allows to elucidate the mechanisms at play strikingly allowing the interacting agents to bear more than one opinion at the same time drastically changes the models behavior and leads to fast consensus | [['we', 'investigate', 'different', 'opinion', 'formation', 'models', 'on', 'adaptive', 'network', 'topologies', 'depending', 'on', 'the', 'dynamical', 'process', 'rewiring', 'can', 'either', 'i', 'lead', 'to', 'the', 'elimination', 'of', 'interactions', 'between', 'agents', 'in', 'different', 'states', 'and', 'accelerate', 'the', 'convergence', 'to', 'a', 'consensus', 'state', 'or', 'break', 'the', 'network', 'in', 'noninteracting', 'groups', 'or', 'ii', 'counterintuitively', 'favor', 'the', 'existence', 'of', 'diverse', 'interacting', 'groups', 'for', 'exponentially', 'long', 'times', 'the', 'meanfield', 'analysis', 'allows', 'to', 'elucidate', 'the', 'mechanisms', 'at', 'play', 'strikingly', 'allowing', 'the', 'interacting', 'agents', 'to', 'bear', 'more', 'than', 'one', 'opinion', 'at', 'the', 'same', 'time', 'drastically', 'changes', 'the', 'models', 'behavior', 'and', 'leads', 'to', 'fast', 'consensus']] | [-0.1556277054998568, 0.13532278111125243, -0.11847515589807757, 0.09130962764014297, -0.0446006507672211, -0.18972091380125308, 0.09406404182726041, 0.3938853634679888, -0.26475798992558996, -0.3086363268183901, 0.0524273947143848, -0.2530778323901146, -0.1079299006254432, 0.07707171201052025, 0.013070078831701044, -0.042176512605015266, 0.04881973401891028, 0.052873145660108076, -0.039426412403662785, -0.260880787440754, 0.320035431405252, 0.05821910091338957, 0.3154690355815469, -0.011425178151260665, 0.053895527155118736, 6.799547167673231e-05, 0.009723430182388488, -0.007510807268579114, -0.09866347696949193, 0.05304890522428979, 0.22175447403385484, 0.07914022872462234, 0.32896923638404685, -0.519937713135113, -0.19376766124859135, 0.16146996535083397, 0.19453098856289178, 0.15570481682315152, 0.01975870620198622, -0.299845255792458, 0.04573404248135085, -0.14955087536153325, -0.1279190973220195, -0.07560830857565111, -0.0111504047019209, 0.06418295878114456, -0.26372856335674827, 0.08805710389749444, 0.05231708896122229, 0.02770683483438606, -0.06561039218820255, -0.05680720731021559, -0.020494249758330432, 0.16653952343845146, 0.05984683177264239, -0.02010168524538266, 0.17774904635734856, -0.1680461063168626, -0.15055807325196394, 0.3576202917883688, -0.029544996238404023, -0.1586074140935299, 0.3238989089001366, -0.11402862605718063, -0.149336907175429, 0.13262196028595197, 0.2247134608741691, 0.08181127027529193, -0.09270017303308432, -0.016426168710359946, 0.032087848670384354, 0.16981912349806505, 0.023376000391200503, 0.039519144925586086, 0.20121984482009678, 0.19765660963875756, 0.1108633722178638, 0.08428061295776292, -0.009979467892256427, -0.21545800388830297, -0.19101253106318256, -0.09924847848138753, -0.10338262734102442, 0.06036052314788747, -0.12401713473948978, -0.13629957780420304, 0.42729914638194, 0.18402027514604655, 0.2093333315520369, 0.07881238379396815, 0.19466357966488662, 0.06835261192866304, 0.0646999573354867, 0.08929908233001194, 0.23296616898748673, 0.06670466413166612, 0.08196421234095667, -0.255041013003644, 0.16124011594009527, 0.031320471846637256] |
711.1262 | Inductive Methods and zero-sum free sequences | We obtain a decidability result for the Davenport constant.
| math.NT math.CO | we obtain a decidability result for the davenport constant | [['we', 'obtain', 'a', 'decidability', 'result', 'for', 'the', 'davenport', 'constant']] | [-0.20408890479140812, 0.04257984055827061, -0.03230262940956487, 0.09819112624973059, -0.11991298198699951, -0.15944484616112378, 0.20578824045757452, 0.2667552948825889, -0.3499506248368157, -0.2872345062593619, 0.1358590506327649, -0.16662098839879036, -0.034113127324316234, 0.23791201397155723, -0.12389163993712929, 0.041603706777095795, 0.10001926289664374, 0.05630707906352149, -0.005312901507649157, -0.3688649193694194, 0.2893284588224358, -0.05522323523958524, 0.10208180629544789, 0.1498800642374489, 0.024311640196376376, -0.014208784068210257, -0.03515809836486975, 2.0255645116170246e-05, -0.3441431202615301, 0.07559794311722119, 0.28079325265975463, 0.12402532166904873, 0.34288496441311306, -0.21788050648238924, -0.1477963932686382, 0.12673738852350247, 0.03487404849794176, 0.2048926113380326, -0.10323482834630543, -0.2516462968455421, 0.0961310922478636, -0.1501893438398838, -0.14672907690207163, -0.07718039283321963, 0.08180989656183454, -0.01625887118279934, -0.349688321352005, 0.06104505269063844, 0.19709320345686543, 0.020211013965308666, -0.18568118972082934, -0.14152931489257348, 0.21124879436360466, 0.13917853822931647, 0.07854287015895049, 0.0478980894614425, -0.035509534335384764, -0.04777703351444668, -0.12036642680565517, 0.3464018818404939, -0.26363369667281705, -0.16310602302352586, 0.07383362741933928, -0.10193118183977073, -0.23776474134582612, 0.014081192513306936, 0.020704621449112892, 0.17152064707544115, 0.010906453761789534, 0.21776274467507997, -0.2580468977491061, 0.22841066556672254, 0.2554686926305294, 0.018427168329556782, -0.02487188619044092, 0.09516244624844855, 0.17815308728151852, 0.21701725158426496, 0.10496131191030145, 0.051875216524220176, -0.3237907563646634, -0.22908552239338556, -0.09578854176733229, 0.18622338357898924, -0.1716983786577152, -0.20763797271582815, 0.32751908318863976, 0.09966729457179706, 0.15123947875367272, 0.38882277502367896, 0.22202565148472786, 0.11310100162194835, -0.027092105786626536, 0.09012931243826945, 0.20008082853423226, 0.2992286744217078, 0.09638913162052631, -0.21137668978836802, 0.09586934879836109, 0.3020568862557411] |
711.1263 | Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and
5d- Transition Metals | We study the intrinsic spin Hall conductivity (SHC) in various
$5d$-transition metals (Ta, W, Re, Os, Ir, Pt, and Au) and 4d-transition metals
(Nb, Mo, Tc, Ru, Rh, Pd, and Ag) based on the Naval Research Laboratory
tight-binding model, which enables us to perform quantitatively reliable
analysis. In each metal, the obtained intrinsic SHC is independent of
resistivity in the low resistive regime ($\rho < 50 \mu\Omega\text{cm}$)
whereas it decreases in proportion to $\rho^{-2}$ in the high resistive regime.
In the low resistive regime, the SHC takes a large positive value in Pt and Pd,
both of which have approximately nine $d$-electrons per ion ($n_d=9$). On the
other hand, the SHC takes a large negative value in Ta, Nb, W, and Mo where
$n_d<5$. In transition metals, a conduction electron acquires the
trajectory-dependent phase factor that originates from the atomic wavefunction.
This phase factor, which is reminiscent of the Aharonov-Bohm phase, is the
origin of the SHC in paramagnetic metals and that of the anomalous Hall
conductivity in ferromagnetic metals. Furthermore, each transition metal shows
huge and positive $d$-orbital Hall conductivity (OHC), independently of the
strength of the spin-orbit interaction (SOI). Since the OHC is much larger than
the SHC, it will be possible to realize a {\it orbitronics device} made of
transition metals.
| cond-mat.str-el cond-mat.mes-hall | we study the intrinsic spin hall conductivity shc in various 5dtransition metals ta w re os ir pt and au and 4dtransition metals nb mo tc ru rh pd and ag based on the naval research laboratory tightbinding model which enables us to perform quantitatively reliable analysis in each metal the obtained intrinsic shc is independent of resistivity in the low resistive regime rho 50 muomegatextcm whereas it decreases in proportion to rho2 in the high resistive regime in the low resistive regime the shc takes a large positive value in pt and pd both of which have approximately nine delectrons per ion n_d9 on the other hand the shc takes a large negative value in ta nb w and mo where n_d5 in transition metals a conduction electron acquires the trajectorydependent phase factor that originates from the atomic wavefunction this phase factor which is reminiscent of the aharonovbohm phase is the origin of the shc in paramagnetic metals and that of the anomalous hall conductivity in ferromagnetic metals furthermore each transition metal shows huge and positive dorbital hall conductivity ohc independently of the strength of the spinorbit interaction soi since the ohc is much larger than the shc it will be possible to realize a it orbitronics device made of transition metals | [['we', 'study', 'the', 'intrinsic', 'spin', 'hall', 'conductivity', 'shc', 'in', 'various', '5dtransition', 'metals', 'ta', 'w', 're', 'os', 'ir', 'pt', 'and', 'au', 'and', '4dtransition', 'metals', 'nb', 'mo', 'tc', 'ru', 'rh', 'pd', 'and', 'ag', 'based', 'on', 'the', 'naval', 'research', 'laboratory', 'tightbinding', 'model', 'which', 'enables', 'us', 'to', 'perform', 'quantitatively', 'reliable', 'analysis', 'in', 'each', 'metal', 'the', 'obtained', 'intrinsic', 'shc', 'is', 'independent', 'of', 'resistivity', 'in', 'the', 'low', 'resistive', 'regime', 'rho', '50', 'muomegatextcm', 'whereas', 'it', 'decreases', 'in', 'proportion', 'to', 'rho2', 'in', 'the', 'high', 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'strength', 'of', 'the', 'spinorbit', 'interaction', 'soi', 'since', 'the', 'ohc', 'is', 'much', 'larger', 'than', 'the', 'shc', 'it', 'will', 'be', 'possible', 'to', 'realize', 'a', 'it', 'orbitronics', 'device', 'made', 'of', 'transition', 'metals']] | [-0.12858475195204963, 0.1979874174988441, 0.0026519934771555747, -0.010646566027289693, -0.012974327372199897, -0.1986928732952094, 0.10038056438476846, 0.3405459512506375, -0.25134262142694025, -0.26981753025774324, -0.017500287799151283, -0.36382541456371187, -0.1097913571058563, 0.16299392789954312, 0.045752380738418065, -0.026859552015742045, -0.05810296303998126, -0.03661130656572906, -0.1417361150106357, -0.20505181211158277, 0.2713450417501861, 0.04654030055342394, 0.3262965755122736, 0.07213268861504334, 0.02831800660546245, -0.011920001194032541, 0.09753142178290342, 0.04428719921242535, -0.09084514753155536, 0.02808588314534089, 0.2683077642226783, -0.12731327569315073, 0.20970432520465274, -0.41973338270800536, 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711.1264 | Conversion of Dark matter axions to photons in magnetospheres of neutron
stars | We propose a new method to detect observational appearance of Dark Matter
axions. The method utilizes observations of neutron stars (NSs) in radio. It is
based on the conversion of axions to photons in strong magnetic fields of NSs
(Primakoff effect). Whether the conversion takes place, the radio spectrum of
the object would have a very distinctive feature -- a narrow spike at a
frequency corresponding to the rest mass of the axion. For example, if the
coupling constant of the photon-axion interaction is $M=10^{10}$ GeV, the
density of Dark Matter axions is $\rho=10^{-24} {\rm g cm^{-3}}$, and the axion
mass is $5 {\rm \mu eV}$, then a flux from a strongly magnetized ($10^{14}$ G)
NS at the distance 300 pc from the Sun is expected to be about few tenths of
mJy at the frequency $\approx 1200$ MHz in the bandwidth $\approx 3$ MHz.
Close-by X-ray dim isolated neutron stars are proposed as good candidates to
look for such radio emission.
| astro-ph | we propose a new method to detect observational appearance of dark matter axions the method utilizes observations of neutron stars nss in radio it is based on the conversion of axions to photons in strong magnetic fields of nss primakoff effect whether the conversion takes place the radio spectrum of the object would have a very distinctive feature a narrow spike at a frequency corresponding to the rest mass of the axion for example if the coupling constant of the photonaxion interaction is m1010 gev the density of dark matter axions is rho1024 rm g cm3 and the axion mass is 5 rm mu ev then a flux from a strongly magnetized 1014 g ns at the distance 300 pc from the sun is expected to be about few tenths of mjy at the frequency approx 1200 mhz in the bandwidth approx 3 mhz closeby xray dim isolated neutron stars are proposed as good candidates to look for such radio emission | [['we', 'propose', 'a', 'new', 'method', 'to', 'detect', 'observational', 'appearance', 'of', 'dark', 'matter', 'axions', 'the', 'method', 'utilizes', 'observations', 'of', 'neutron', 'stars', 'nss', 'in', 'radio', 'it', 'is', 'based', 'on', 'the', 'conversion', 'of', 'axions', 'to', 'photons', 'in', 'strong', 'magnetic', 'fields', 'of', 'nss', 'primakoff', 'effect', 'whether', 'the', 'conversion', 'takes', 'place', 'the', 'radio', 'spectrum', 'of', 'the', 'object', 'would', 'have', 'a', 'very', 'distinctive', 'feature', 'a', 'narrow', 'spike', 'at', 'a', 'frequency', 'corresponding', 'to', 'the', 'rest', 'mass', 'of', 'the', 'axion', 'for', 'example', 'if', 'the', 'coupling', 'constant', 'of', 'the', 'photonaxion', 'interaction', 'is', 'm1010', 'gev', 'the', 'density', 'of', 'dark', 'matter', 'axions', 'is', 'rho1024', 'rm', 'g', 'cm3', 'and', 'the', 'axion', 'mass', 'is', '5', 'rm', 'mu', 'ev', 'then', 'a', 'flux', 'from', 'a', 'strongly', 'magnetized', '1014', 'g', 'ns', 'at', 'the', 'distance', '300', 'pc', 'from', 'the', 'sun', 'is', 'expected', 'to', 'be', 'about', 'few', 'tenths', 'of', 'mjy', 'at', 'the', 'frequency', 'approx', '1200', 'mhz', 'in', 'the', 'bandwidth', 'approx', '3', 'mhz', 'closeby', 'xray', 'dim', 'isolated', 'neutron', 'stars', 'are', 'proposed', 'as', 'good', 'candidates', 'to', 'look', 'for', 'such', 'radio', 'emission']] | [-0.11793898469641136, 0.2110708918677119, -0.04232277684380108, 0.12031889048666926, -0.1300536560709588, -0.07060657960828394, 0.06904464477338479, 0.4055140294600278, -0.18220494341803714, -0.3972587077500066, 0.039553611714745786, -0.28395208101719616, 0.03571991548087681, 0.20900049198462511, 0.03915536139102187, -0.050278353490284644, 0.026184745103819296, 0.0498934778093826, -0.041615892318077385, -0.16043558736564592, 0.2540053487406112, 0.05752284251793753, 0.20536088613771425, 0.04548955292848404, 0.09462463714880869, -0.12209663809517224, 0.026570791559061037, -0.10432362987485248, -0.10016135557089001, 0.012823209664202296, 0.22297590351990948, 0.10366242857644466, 0.20729289837472606, -0.3644371705595404, -0.19968818259912952, 0.1204238563310355, 0.1259977375739254, 0.023975727893412114, -0.06266171673560166, -0.2923482352576684, 0.1381018802872859, -0.1893074034684105, -0.11723195548693184, 0.07047130549326538, 0.06332085540125262, -0.005971736321225762, -0.2736275308416225, 0.12149746272334597, -0.020410240738419815, -0.02856967761326814, -0.07884909112181049, -0.11392423333018087, 0.017188185537816026, 0.0017785307252779603, 0.05962337229721015, 0.0901331160479458, 0.20487085922213738, -0.1404773964579249, -0.04185037669958547, 0.4193806573050097, -0.11605530960951001, -0.016652004251955076, 0.17936125456908486, -0.1930247726268135, -0.1528006759181153, 0.20548375784419476, 0.15476866355747915, 0.13246581965067888, -0.11597226130106719, 0.05010128820831596, -0.03365572254624567, 0.2662084788258653, 0.09317792074289173, 0.06993711073882877, 0.3686794183588063, 0.19098614390022703, 0.054468806645309086, 0.05665361093633692, -0.23060234524746193, 0.06256702730606775, -0.26327782017178836, -0.06587171728460817, -0.15756683804720523, 0.13231273038109065, -0.11737532487595673, -0.0825930593389785, 0.3581246946414467, 0.12199408047599718, 0.18912815260118804, -0.004591992887435481, 0.3045186719333287, 0.10819114746918786, 0.08691102002485422, 0.09746194556064439, 0.3339138666982763, 0.21123494540224783, 0.09081939096504357, -0.21453613734047394, -0.06518180939310696, -0.01694111084070755] |
711.1265 | An Asymptotic Formalism for Reconstructing Small Perturbations of
Scatterers from Electric or Acoustic Far-Field Measurements | We consider the problem of determining the boundary perturbations of an
object from far-field electric or acoustic measurements. Assuming that the
unknown object boundary is a small perturbation of a circle, we develop a
linearized relation between the far-field data that result from fixed Dirichlet
boundary conditions, entering as parameters, and the shape of the object,
entering as variables. This relation is used to find the Fourier coefficients
of the perturbation of the shape and makes use of an expansion of the
Dirichlet-to-Neumann operator.
| math.CA math.GM | we consider the problem of determining the boundary perturbations of an object from farfield electric or acoustic measurements assuming that the unknown object boundary is a small perturbation of a circle we develop a linearized relation between the farfield data that result from fixed dirichlet boundary conditions entering as parameters and the shape of the object entering as variables this relation is used to find the fourier coefficients of the perturbation of the shape and makes use of an expansion of the dirichlettoneumann operator | [['we', 'consider', 'the', 'problem', 'of', 'determining', 'the', 'boundary', 'perturbations', 'of', 'an', 'object', 'from', 'farfield', 'electric', 'or', 'acoustic', 'measurements', 'assuming', 'that', 'the', 'unknown', 'object', 'boundary', 'is', 'a', 'small', 'perturbation', 'of', 'a', 'circle', 'we', 'develop', 'a', 'linearized', 'relation', 'between', 'the', 'farfield', 'data', 'that', 'result', 'from', 'fixed', 'dirichlet', 'boundary', 'conditions', 'entering', 'as', 'parameters', 'and', 'the', 'shape', 'of', 'the', 'object', 'entering', 'as', 'variables', 'this', 'relation', 'is', 'used', 'to', 'find', 'the', 'fourier', 'coefficients', 'of', 'the', 'perturbation', 'of', 'the', 'shape', 'and', 'makes', 'use', 'of', 'an', 'expansion', 'of', 'the', 'dirichlettoneumann', 'operator']] | [-0.15607198555066826, 0.0836405182465872, -0.1234143490104803, 0.013594913462709104, -0.12953893594177707, -0.057645858537095286, 0.01024121837136114, 0.31929352821870927, -0.31818675138943253, -0.26465959004348233, 0.14542342459649912, -0.2757991633289272, -0.1456120636319697, 0.1589588061656936, -0.050474295703073345, 0.09845637909269758, 0.061349197988246965, 0.08290536151755423, -0.08952359395611677, -0.1101150427130051, 0.4087950838729739, 0.01886312211198466, 0.22496169743438563, 0.014432647171252895, 0.11814974963670552, 0.03071768033606488, -0.03525173389131114, -0.010810850641324319, -0.12018091074510483, 0.13284768533776514, 0.20012395070097272, 0.08897812204391119, 0.21784115587139413, -0.4390176025973189, -0.1992651819850185, 0.07394681399732474, 0.11979930503349308, 0.09796068442630626, -0.014207642797070244, -0.2702692762859875, 0.05374784283395413, -0.10837231495506353, -0.1730070204163591, -0.016224233599911844, 0.02066067983174608, 0.0023227307953805265, -0.335842242708341, 0.11006830212482739, 0.0776255408335211, 0.039815002134890254, -0.13467949674841725, -0.05794372026520293, -0.012045139457941764, 0.18212092208531908, 0.05979061034824034, 0.015381560283934786, 0.12857708926977857, -0.17961738501132155, -0.01953222233402942, 0.3919973518655059, -0.08875646388956479, -0.24354773786173955, 0.13351474197891852, -0.16553689255600884, -0.05716014609095596, 0.07841064025359672, 0.14937675917255028, 0.16152242932002991, -0.1499030567550411, 0.11796519710055907, -0.05412001827582052, 0.18164052433955172, 0.1069018590441417, -0.03768394390741984, 0.19159470522953642, 0.11472230515487138, 0.10447817578512643, 0.18436044890300504, -0.1225187522885833, -0.0064033069925027945, -0.3554110775834748, -0.10586503333234716, -0.21947656079594577, 0.024604338476256954, -0.1502561096120709, -0.24856555392034352, 0.37027129406730336, 0.1635746878039624, 0.2606571285453226, 0.033394074644006434, 0.2870071516594007, 0.17363104818061748, 0.0446111466513858, 0.06683818938299305, 0.24096301082699073, 0.13992327604708926, 0.08809265738818794, -0.24604418613792708, 0.029398472347695912, 0.09871244411693797] |
711.1266 | Magnetic monopoles in the high temperature phase of Yang-Mills theories | We investigate the properties of thermal abelian magnetic monopoles in the
high temperature phase of Yang--Mills theories, following a recent proposal for
their identification on lattice configurations. The study is done for SU(2)
pure gauge theory, for temperatures going up to about 10 times the deconfining
temperature and using the Maximal Abelian gauge to perform the abelian
projection. We find that the monopole density has a well defined continuum
limit. Its temperature dependence disagrees with a free particle gas prediction
and is instead well described by a $T^3/(\log (T/\Lambda))^\alpha$ behaviour in
all the explored range, with $\alpha \sim 2$ and $\Lambda \sim 100$ MeV. Also
the study of spatial correlations of thermal monopoles shows the presence of
non-trivial interactions among them. Finally, we discuss the gauge dependence
of our results, showing that it is significant and that, even within the
Maximal Abelian gauge, Gribov copy effects are important.
| hep-lat hep-ph | we investigate the properties of thermal abelian magnetic monopoles in the high temperature phase of yangmills theories following a recent proposal for their identification on lattice configurations the study is done for su2 pure gauge theory for temperatures going up to about 10 times the deconfining temperature and using the maximal abelian gauge to perform the abelian projection we find that the monopole density has a well defined continuum limit its temperature dependence disagrees with a free particle gas prediction and is instead well described by a t3log tlambdaalpha behaviour in all the explored range with alpha sim 2 and lambda sim 100 mev also the study of spatial correlations of thermal monopoles shows the presence of nontrivial interactions among them finally we discuss the gauge dependence of our results showing that it is significant and that even within the maximal abelian gauge gribov copy effects are important | [['we', 'investigate', 'the', 'properties', 'of', 'thermal', 'abelian', 'magnetic', 'monopoles', 'in', 'the', 'high', 'temperature', 'phase', 'of', 'yangmills', 'theories', 'following', 'a', 'recent', 'proposal', 'for', 'their', 'identification', 'on', 'lattice', 'configurations', 'the', 'study', 'is', 'done', 'for', 'su2', 'pure', 'gauge', 'theory', 'for', 'temperatures', 'going', 'up', 'to', 'about', '10', 'times', 'the', 'deconfining', 'temperature', 'and', 'using', 'the', 'maximal', 'abelian', 'gauge', 'to', 'perform', 'the', 'abelian', 'projection', 'we', 'find', 'that', 'the', 'monopole', 'density', 'has', 'a', 'well', 'defined', 'continuum', 'limit', 'its', 'temperature', 'dependence', 'disagrees', 'with', 'a', 'free', 'particle', 'gas', 'prediction', 'and', 'is', 'instead', 'well', 'described', 'by', 'a', 't3log', 'tlambdaalpha', 'behaviour', 'in', 'all', 'the', 'explored', 'range', 'with', 'alpha', 'sim', '2', 'and', 'lambda', 'sim', '100', 'mev', 'also', 'the', 'study', 'of', 'spatial', 'correlations', 'of', 'thermal', 'monopoles', 'shows', 'the', 'presence', 'of', 'nontrivial', 'interactions', 'among', 'them', 'finally', 'we', 'discuss', 'the', 'gauge', 'dependence', 'of', 'our', 'results', 'showing', 'that', 'it', 'is', 'significant', 'and', 'that', 'even', 'within', 'the', 'maximal', 'abelian', 'gauge', 'gribov', 'copy', 'effects', 'are', 'important']] | [-0.11986475604090342, 0.23434306403992008, -0.060966743681378895, 0.09186053815001162, -0.02658098638763377, -0.09052143257736445, 0.04726496113907571, 0.38054005711097016, -0.17950686971235968, -0.3129991420340558, 0.08018007459699444, -0.28574249159850895, -0.0767236210609952, 0.12566089623508822, 0.012782705941377846, 0.004763370636557165, -0.017223116527120136, 0.07290962753516035, -0.10105895312592285, -0.23824568240814012, 0.30211444567467965, 0.03649783368566877, 0.27142350921209596, 0.12659671139418568, 0.09520918511696262, 0.010748261710220617, -0.028547561847068983, 0.03382186402011765, -0.14494956939473025, 0.030418850660518654, 0.19752726146204985, 0.008303433040329192, 0.171972826008417, -0.377881421018647, -0.2308122485250949, 0.11692222941041708, 0.12108807208986111, 0.10128444122239845, -0.03438373486438052, -0.26299647333567694, 0.08220734834441379, -0.17625327789135378, -0.18106773367298334, -0.1028040551886677, 0.03198250880375607, -0.04161142936767372, -0.23167063412097066, 0.10076890836054402, 0.037599989654789744, 0.08442434036389809, -0.05475365686348371, -0.1121904689018066, -0.05092020684451324, 0.08101906939983776, 0.1027903850270078, 0.06893050197945678, 0.15929479220537596, -0.177096170940985, -0.1154016003599518, 0.3929425298989023, -0.10295767545475216, -0.13482450746152908, 0.18685516877074357, -0.1836459741206865, -0.14224060175442838, 0.12690816826365683, 0.07998914983640233, 0.12718870316963796, -0.0873814292191464, 0.15152030414747183, -0.0574969687285412, 0.17298065938935805, 0.048568169329608855, 0.044123316878988725, 0.22197541589721118, 0.14901635755006581, 0.025833210257226475, 0.13310839372451022, -0.05896584476900051, -0.10068969333812289, -0.3355946422758678, -0.12567940402348615, -0.13550534335440279, 0.0938880870912913, -0.11831108574103245, -0.1352727656597144, 0.38286584708201765, 0.16788381094444696, 0.19206971380132418, 0.035097189917394966, 0.22751024155558586, 0.1049771983222717, 0.06960859191954799, 0.05569743125201904, 0.24051279406867002, 0.18761021988817222, 0.051709693304760614, -0.2690099032997626, -0.07170812043677123, 0.06435508068574414] |
711.1267 | Magnetic field structures of galaxies derived from analysis of Faraday
rotation measures, and perspectives for the SKA | The forthcoming new-generation radio telescope SKA (Square Kilometre Array)
and its precursors will provide a rapidly growing number of polarized radio
sources. Our analysis aims on what can be learned from these sources concerning
the structure and evolution of magnetic fields of external galaxies.
Recognition of magnetic structures is possible from Faraday rotation measures
(${\rm RM}$) towards background sources behind galaxies. We construct models
for the ionized gas and magnetic field patterns of different azimuthal symmetry
(axisymmetric, bisymmetric and quadrisymmetric spiral, and superpositions) plus
a halo magnetic field. $\RM$ fluctuations with a Kolmogorov spectrum due to
turbulent fields and/or fluctuations in ionized gas density are superimposed.
Assuming extrapolated number density counts of polarized sources, we generate a
sample of $\RM$ values within the solid angle of the galaxy. Applying various
templates, we derive the minimum number of background sources and the minimum
quality of the observations. For a large number of sources, reconstruction of
the field structure without precognition becomes possible. Any large-scale
regular component of the magnetic field can be clearly recognized from $\RM$
data with help of the $\chi^2$ criterium. Under favourite conditions, about a
few dozens of polarized sources are sufficient for a reliable result.
| astro-ph | the forthcoming newgeneration radio telescope ska square kilometre array and its precursors will provide a rapidly growing number of polarized radio sources our analysis aims on what can be learned from these sources concerning the structure and evolution of magnetic fields of external galaxies recognition of magnetic structures is possible from faraday rotation measures rm rm towards background sources behind galaxies we construct models for the ionized gas and magnetic field patterns of different azimuthal symmetry axisymmetric bisymmetric and quadrisymmetric spiral and superpositions plus a halo magnetic field rm fluctuations with a kolmogorov spectrum due to turbulent fields andor fluctuations in ionized gas density are superimposed assuming extrapolated number density counts of polarized sources we generate a sample of rm values within the solid angle of the galaxy applying various templates we derive the minimum number of background sources and the minimum quality of the observations for a large number of sources reconstruction of the field structure without precognition becomes possible any largescale regular component of the magnetic field can be clearly recognized from rm data with help of the chi2 criterium under favourite conditions about a few dozens of polarized sources are sufficient for a reliable result | [['the', 'forthcoming', 'newgeneration', 'radio', 'telescope', 'ska', 'square', 'kilometre', 'array', 'and', 'its', 'precursors', 'will', 'provide', 'a', 'rapidly', 'growing', 'number', 'of', 'polarized', 'radio', 'sources', 'our', 'analysis', 'aims', 'on', 'what', 'can', 'be', 'learned', 'from', 'these', 'sources', 'concerning', 'the', 'structure', 'and', 'evolution', 'of', 'magnetic', 'fields', 'of', 'external', 'galaxies', 'recognition', 'of', 'magnetic', 'structures', 'is', 'possible', 'from', 'faraday', 'rotation', 'measures', 'rm', 'rm', 'towards', 'background', 'sources', 'behind', 'galaxies', 'we', 'construct', 'models', 'for', 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711.1268 | Characterization of optimal Transport Plans for the
Monge-Kantorovich-Problem | We prove that $c$-cyclically monotone transport plans $\pi$ optimize the
Monge-Kantorovich transportation problem under an additional measurability
condition. This measurability condition is always satisfied for finitely
valued, lower semi-continuous cost functions. In particular, this yields a
positive answer to Problem 2.25 in C. Villani's book. We emphasize that we do
not need any regularity conditions as were imposed in the previous literature.
| math.OC math.FA | we prove that ccyclically monotone transport plans pi optimize the mongekantorovich transportation problem under an additional measurability condition this measurability condition is always satisfied for finitely valued lower semicontinuous cost functions in particular this yields a positive answer to problem 225 in c villanis book we emphasize that we do not need any regularity conditions as were imposed in the previous literature | [['we', 'prove', 'that', 'ccyclically', 'monotone', 'transport', 'plans', 'pi', 'optimize', 'the', 'mongekantorovich', 'transportation', 'problem', 'under', 'an', 'additional', 'measurability', 'condition', 'this', 'measurability', 'condition', 'is', 'always', 'satisfied', 'for', 'finitely', 'valued', 'lower', 'semicontinuous', 'cost', 'functions', 'in', 'particular', 'this', 'yields', 'a', 'positive', 'answer', 'to', 'problem', '225', 'in', 'c', 'villanis', 'book', 'we', 'emphasize', 'that', 'we', 'do', 'not', 'need', 'any', 'regularity', 'conditions', 'as', 'were', 'imposed', 'in', 'the', 'previous', 'literature']] | [-0.16372186600440933, 0.10966617399812563, -0.06600066381807049, 0.11423241850852425, -0.12749644160465967, -0.16256863728255755, 0.0513530423669445, 0.3916714622248565, -0.29822942608546826, -0.22203394868260912, 0.10699721438727612, -0.24464570067732805, -0.1348852137884786, 0.18062749131575168, -0.20620433816445932, 0.12115114251331936, 0.08190625531959438, 0.016208276332866763, -0.1032269949876448, -0.28504713457227954, 0.33963717112595576, -0.028592783762442488, 0.2651389256840752, 0.16163080055998907, 0.07729366454112742, 0.02305750475235043, 0.0007372120650665413, 0.020985397795635845, -0.2481144178940843, 0.07098031618196758, 0.293295513357847, 0.18401941397197305, 0.32392980188371673, -0.4034052480072264, -0.1557202121062625, 0.20832127217023122, 0.08334614687989797, -0.00593026410487871, -0.028747827920597047, -0.19208720903242787, 0.10430101225633294, -0.08801787502823337, -0.13397288061077556, -0.04818904412264425, 0.008044751879248408, -0.021059277151981668, -0.34964220029031556, 0.06694567819396334, 0.14456403416190897, 0.07076522795062873, -0.13527993807539104, -0.12237065066132814, -0.01795973426722471, 0.07163561233920196, 0.022710061459923554, 0.06933262928026623, 0.09755826806799779, -0.0787540701473312, -0.10699114548943696, 0.3028664531997375, -0.02289247768931091, -0.33161115679409237, 0.13516445167084795, -0.1483314044383024, -0.20222656246304752, 0.07290209246228539, 0.1089438371540558, 0.14698026422411203, -0.19125361896810994, 0.14508975651716033, -0.1551349150737928, 0.12474060175760139, 0.13954575266689062, 0.055370831096004096, 0.08593084720609288, 0.05612246833568919, 0.23588108512828307, 0.13812055078996044, 0.06360610928987304, -0.03328446548942837, -0.37022303140932517, -0.14492692972623533, -0.11774093884554121, 0.1365931461334713, -0.0318104196264739, -0.13944151634049992, 0.25782642447419707, 0.17044793362278612, 0.12029401894899146, 0.13840156431580264, 0.251663934499506, 0.15694508295799156, -0.002842881482079505, 0.09756343169588476, 0.1888359203453987, 0.09328612844805204, 0.12493448298154099, -0.15472258652199902, 0.11712012262714486, 0.10270183067768812] |
711.1269 | Fair Scheduling in OFDMA-based Wireless Systems with QoS Constraints | In this work we consider the problem of downlink resource allocation for
proportional fairness of long term received rates of data users and quality of
service for real time sessions in an OFDMA-based wireless system. The base
station allocates available power and bandwidth to individual users based on
long term average received rates, QoS based rate constraints and channel
conditions. We solve the underlying constrained optimization problem and
propose an algorithm that achieves the optimal allocation. Numerical evaluation
results show that the proposed algorithm provides better QoS to voice and video
sessions while providing more and fair rates to data users in comparison with
existing schemes.
| cs.NI | in this work we consider the problem of downlink resource allocation for proportional fairness of long term received rates of data users and quality of service for real time sessions in an ofdmabased wireless system the base station allocates available power and bandwidth to individual users based on long term average received rates qos based rate constraints and channel conditions we solve the underlying constrained optimization problem and propose an algorithm that achieves the optimal allocation numerical evaluation results show that the proposed algorithm provides better qos to voice and video sessions while providing more and fair rates to data users in comparison with existing schemes | [['in', 'this', 'work', 'we', 'consider', 'the', 'problem', 'of', 'downlink', 'resource', 'allocation', 'for', 'proportional', 'fairness', 'of', 'long', 'term', 'received', 'rates', 'of', 'data', 'users', 'and', 'quality', 'of', 'service', 'for', 'real', 'time', 'sessions', 'in', 'an', 'ofdmabased', 'wireless', 'system', 'the', 'base', 'station', 'allocates', 'available', 'power', 'and', 'bandwidth', 'to', 'individual', 'users', 'based', 'on', 'long', 'term', 'average', 'received', 'rates', 'qos', 'based', 'rate', 'constraints', 'and', 'channel', 'conditions', 'we', 'solve', 'the', 'underlying', 'constrained', 'optimization', 'problem', 'and', 'propose', 'an', 'algorithm', 'that', 'achieves', 'the', 'optimal', 'allocation', 'numerical', 'evaluation', 'results', 'show', 'that', 'the', 'proposed', 'algorithm', 'provides', 'better', 'qos', 'to', 'voice', 'and', 'video', 'sessions', 'while', 'providing', 'more', 'and', 'fair', 'rates', 'to', 'data', 'users', 'in', 'comparison', 'with', 'existing', 'schemes']] | [-0.2406781826130958, -0.06653848819995853, -0.018545437459218897, 0.02358285620048607, -0.12869429826639803, -0.24168742674771906, 0.16764928366250867, 0.44393081941975737, -0.24578518515786613, -0.31861234092557766, 0.08297338066864232, -0.23977354361306666, -0.09938861379610761, 0.18334711385223101, -0.15927947124571734, 0.09957971134802925, 0.1000700716526722, 0.06309642914445403, -0.005984479260525473, -0.3574680991510351, 0.2586992586752013, 0.17264781532071108, 0.43459682554920326, 0.06417675701163288, 0.10851834832365571, 0.017495516472922218, -0.059935826966363306, -0.058743762168681844, -0.11291582196281524, 0.11252112866967987, 0.3595477092027102, 0.2640389207759345, 0.33962012056858754, -0.4612986713577554, -0.21249372664979607, 0.07316274162083161, 0.1295347407653506, 0.008095827548905223, -0.04594621276617476, -0.26366499581875036, 0.13221493468044396, -0.24246498101549047, 0.037546866933621886, -0.015202261981958488, -0.04529820706800751, 0.06511784835887705, -0.42075351349798573, 0.05727927740413436, -0.05930596530077241, 0.025391372553301306, -0.12360626491410483, -0.10089388526075538, 0.06990184116985579, 0.20602159108087983, 0.12957309989614482, -0.020652249569670773, 0.08629705928230905, -0.1083987605700902, -0.15103723387396456, 0.41587675730961393, -0.025915055814691168, -0.20238076918319148, 0.12520145088981152, -0.02231964157929398, -0.10139091096748158, 0.15068851974529196, 0.277991978794266, 0.08872253779884216, -0.18617180414181553, -0.03151975095355532, -0.029773843949133495, 0.21839750708818859, 0.055513188770076015, 0.11887164408657348, 0.09652514504664138, 0.2224351240075984, 0.17153312084880076, 0.10216222864900769, -0.06320258213497065, -0.11256979151084176, -0.17009165849677235, -0.09287393938328298, -0.172781894932378, -0.025064260266141367, -0.09307923807486901, -0.034637638191991255, 0.3765117250347756, 0.14720077759735636, 0.1191825005050116, 0.1861933096540424, 0.40819346672802603, 0.10038407689030722, 0.025545536925388006, 0.16991540595432217, 0.12148875657047303, -0.010583728103775461, 0.20712797711262884, -0.23453626767644342, 0.06924384022307284, 0.004543006121409389] |
711.127 | Polarization buildup by spin filtering in storage rings | There has been much recent research into polarizing an antiproton beam,
instigated by the recent proposal from the PAX (Polarized Antiproton
eXperiment) project at GSI Darmstadt. It plans to polarize an antiproton beam
by repeated interaction with a polarized internal target in a storage ring. The
method of polarization buildup by spin filtering requires many of the beam
particles to remain within the ring after scattering off the polarized internal
target via electromagnetic and hadronic interactions. Sets of differential
equations which describe the buildup of polarization by spin filtering in many
different scenarios have recently been presented and solved. In this paper we
add to this literature by investigating a scenario where unpolarized particles
are input into the beam at a linearly increasing rate, i.e. the input rate is
ramped up.
| hep-ph | there has been much recent research into polarizing an antiproton beam instigated by the recent proposal from the pax polarized antiproton experiment project at gsi darmstadt it plans to polarize an antiproton beam by repeated interaction with a polarized internal target in a storage ring the method of polarization buildup by spin filtering requires many of the beam particles to remain within the ring after scattering off the polarized internal target via electromagnetic and hadronic interactions sets of differential equations which describe the buildup of polarization by spin filtering in many different scenarios have recently been presented and solved in this paper we add to this literature by investigating a scenario where unpolarized particles are input into the beam at a linearly increasing rate ie the input rate is ramped up | [['there', 'has', 'been', 'much', 'recent', 'research', 'into', 'polarizing', 'an', 'antiproton', 'beam', 'instigated', 'by', 'the', 'recent', 'proposal', 'from', 'the', 'pax', 'polarized', 'antiproton', 'experiment', 'project', 'at', 'gsi', 'darmstadt', 'it', 'plans', 'to', 'polarize', 'an', 'antiproton', 'beam', 'by', 'repeated', 'interaction', 'with', 'a', 'polarized', 'internal', 'target', 'in', 'a', 'storage', 'ring', 'the', 'method', 'of', 'polarization', 'buildup', 'by', 'spin', 'filtering', 'requires', 'many', 'of', 'the', 'beam', 'particles', 'to', 'remain', 'within', 'the', 'ring', 'after', 'scattering', 'off', 'the', 'polarized', 'internal', 'target', 'via', 'electromagnetic', 'and', 'hadronic', 'interactions', 'sets', 'of', 'differential', 'equations', 'which', 'describe', 'the', 'buildup', 'of', 'polarization', 'by', 'spin', 'filtering', 'in', 'many', 'different', 'scenarios', 'have', 'recently', 'been', 'presented', 'and', 'solved', 'in', 'this', 'paper', 'we', 'add', 'to', 'this', 'literature', 'by', 'investigating', 'a', 'scenario', 'where', 'unpolarized', 'particles', 'are', 'input', 'into', 'the', 'beam', 'at', 'a', 'linearly', 'increasing', 'rate', 'ie', 'the', 'input', 'rate', 'is', 'ramped', 'up']] | [-0.09158469627803291, 0.22008511078040088, -0.08354134366621853, 0.023207802975102405, -0.013161842170960576, -0.1246384418007868, -0.022106783232608996, 0.42390813203599614, -0.27165826199618914, -0.31675980514526825, 0.016091688142428246, -0.28816393459969347, 0.014660937030433556, 0.18562807570005418, 0.03861055704356235, 0.06760695299403813, 0.0432972070185169, -0.02057705822450514, -0.0036849349413692724, -0.23797749099499396, 0.3043660402923595, 0.15269265384662128, 0.2951686068345572, 0.0595590140179994, 0.1264558832991143, 0.07149400871126195, -0.06480067322485661, -0.029231913565508735, -0.06056742673341668, 0.08409597460208958, 0.26973000231051447, 0.11505181204086838, 0.20658142344300984, -0.47900557368709384, -0.18289409003412452, 0.09866696994623723, 0.13966034131323676, 0.15880285084997622, -0.115966763169654, -0.28415308129895506, 0.03020602307559652, -0.1973591500694174, -0.13421784088243055, -0.031568281968365926, 0.052978788410093035, 0.03765165519132812, -0.2535203997950418, -0.024000941032813933, 0.04156380978533785, 0.04761303582349579, -0.025209510602938537, -0.1225957564764322, 0.004118374150729816, 0.024309919222848107, 0.0710747056242562, 0.11635868747910584, 0.1557760907066915, -0.1272543654101723, -0.12455135032904284, 0.33840851774368125, -0.012689133771901367, -0.15092714720019956, 0.11713421905327959, -0.19735467538703233, -0.07171972055087676, 0.20115610135306838, 0.2090970154936987, 0.10568639162202714, -0.17981500417449092, 0.07060785632036655, -0.05343571955067966, 0.14670984944255794, 0.13074705815511464, -0.0014018100661488662, 0.26241590803531745, 0.20335931986399736, 0.0656128923816585, 0.14451106612478162, -0.09015061209362199, -0.07387839766034415, -0.26923939850152906, -0.07504994022652849, -0.11361961443339766, 0.0505412417136929, 0.05259280673080241, -0.01966294085336778, 0.3796635563165404, 0.09552157491815226, 0.2061720494507947, -0.08552440884967427, 0.3668645393736092, 0.08154258773598166, 0.09412200638014852, 0.045404447137754954, 0.24556762350452993, 0.14530181382313542, 0.14568581219535065, -0.2606684941752238, 0.0534384215254166, -0.024835312980731935] |
711.1271 | The Path-Star Transformation and its Effects on Complex Networks | A good deal of the connectivity of complex networks can be characterized in
terms of their constituent paths and hubs. For instance, the Barab\'asi-Albert
model is known to incorporate a significative number of hubs and relatively
short paths. On the other hand, the Watts-Strogatz model is underlain by a long
path and almost complete absence of hubs. The present work investigates how the
topology of complex networks changes when a path is transformed into a star
(or, for long paths, a hub). Such a transformation keeps the number of nodes
and does not increase the number of edges in the network, but has potential for
greatly changing the network topology. Several interesting results are reported
with respect to Erdos-R\'enyi, Barab\'asi-Albert and Watts-Strogats models,
including the unexpected finding that the diameter and average shortest path
length of the former type of networks are little affected by the path-star
transformation. In addition to providing insight about the organization of
complex networks, such transformations are also potentially useful for
improving specific aspects of the network connectivity, e.g. average shortest
path length as required for expedite communication between nodes.
| physics.soc-ph cond-mat.dis-nn physics.comp-ph | a good deal of the connectivity of complex networks can be characterized in terms of their constituent paths and hubs for instance the barabasialbert model is known to incorporate a significative number of hubs and relatively short paths on the other hand the wattsstrogatz model is underlain by a long path and almost complete absence of hubs the present work investigates how the topology of complex networks changes when a path is transformed into a star or for long paths a hub such a transformation keeps the number of nodes and does not increase the number of edges in the network but has potential for greatly changing the network topology several interesting results are reported with respect to erdosrenyi barabasialbert and wattsstrogats models including the unexpected finding that the diameter and average shortest path length of the former type of networks are little affected by the pathstar transformation in addition to providing insight about the organization of complex networks such transformations are also potentially useful for improving specific aspects of the network connectivity eg average shortest path length as required for expedite communication between nodes | [['a', 'good', 'deal', 'of', 'the', 'connectivity', 'of', 'complex', 'networks', 'can', 'be', 'characterized', 'in', 'terms', 'of', 'their', 'constituent', 'paths', 'and', 'hubs', 'for', 'instance', 'the', 'barabasialbert', 'model', 'is', 'known', 'to', 'incorporate', 'a', 'significative', 'number', 'of', 'hubs', 'and', 'relatively', 'short', 'paths', 'on', 'the', 'other', 'hand', 'the', 'wattsstrogatz', 'model', 'is', 'underlain', 'by', 'a', 'long', 'path', 'and', 'almost', 'complete', 'absence', 'of', 'hubs', 'the', 'present', 'work', 'investigates', 'how', 'the', 'topology', 'of', 'complex', 'networks', 'changes', 'when', 'a', 'path', 'is', 'transformed', 'into', 'a', 'star', 'or', 'for', 'long', 'paths', 'a', 'hub', 'such', 'a', 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711.1272 | How close are the option pricing formulas of Bachelier and
Black-Merton-Scholes? | We compare the option pricing formulas of Louis Bachelier and
Black-Merton-Scholes and observe -- theoretically as well as for Bachelier's
original data -- that the prices coincide very well. We illustrate Louis
Bachelier's efforts to obtain applicable formulas for option pricing in
pre-computer time. Furthermore we explain -- by simple methods from chaos
expansion -- why Bachelier's model yields good short-time approximations of
prices and volatilities.
| q-fin.PR math.HO math.PR | we compare the option pricing formulas of louis bachelier and blackmertonscholes and observe theoretically as well as for bacheliers original data that the prices coincide very well we illustrate louis bacheliers efforts to obtain applicable formulas for option pricing in precomputer time furthermore we explain by simple methods from chaos expansion why bacheliers model yields good shorttime approximations of prices and volatilities | [['we', 'compare', 'the', 'option', 'pricing', 'formulas', 'of', 'louis', 'bachelier', 'and', 'blackmertonscholes', 'and', 'observe', 'theoretically', 'as', 'well', 'as', 'for', 'bacheliers', 'original', 'data', 'that', 'the', 'prices', 'coincide', 'very', 'well', 'we', 'illustrate', 'louis', 'bacheliers', 'efforts', 'to', 'obtain', 'applicable', 'formulas', 'for', 'option', 'pricing', 'in', 'precomputer', 'time', 'furthermore', 'we', 'explain', 'by', 'simple', 'methods', 'from', 'chaos', 'expansion', 'why', 'bacheliers', 'model', 'yields', 'good', 'shorttime', 'approximations', 'of', 'prices', 'and', 'volatilities']] | [-0.0037843115994187653, -0.021659644641226432, -0.13548893356298813, 0.2523584158205595, -0.10752424170247844, -0.1696440436739902, 0.13030868686628758, 0.4434192944012704, -0.245807983164416, -0.24620023443073522, 0.166303029785803, -0.2700047785507851, -0.17048853678537196, 0.2698320151558604, -0.1304904830725062, 0.03480650576930799, 0.015895683623728205, -0.04556296729162091, 0.01593485074957497, -0.2302423867522968, 0.18341325408183648, 0.100157712112929, 0.2735998928127047, 0.06744892776134562, 0.12371785792361822, -0.028470018848043975, -0.03482799964850066, -0.019608588331974434, -0.20082488613736102, 0.08611840390424687, 0.3085595569420667, 0.08590924907781061, 0.21793333734156656, -0.45356594416938845, -0.12690539056526834, 0.06343121442001039, 0.07229250333592539, 0.08451546150732969, 0.0010477681109895471, -0.2344639915056893, -0.031118154388348588, -0.25285259310583597, -0.16294569569471917, -0.221848637079362, 0.0426837770672912, 0.08959642799235269, -0.2952635973294983, 0.11948620955284196, 0.02006107412248117, 0.013157043186184323, -0.054424879186954656, -0.1541630872143585, 0.033977972534408825, 0.09509141381341414, 0.12927664440606157, -0.08788393105029083, 0.017662332874157877, -0.09302382117908325, -0.2232881400268525, 0.38434640565490136, -0.14102895183824612, -0.13298710212722176, 0.11871717971001493, -0.14206594264241637, -0.09566622304913329, 0.09357790220681517, 0.10466037415822999, 0.08721216548173154, -0.1389074395105365, 0.10888313859048468, -0.05064404096652861, 0.07375306481129078, 0.121774538557549, -0.01719418680295348, 0.11789436071927918, 0.1176867772410929, 0.04475424253213845, 0.10526919692418858, -0.01914846594063718, -0.19634499093975688, -0.26623987716424174, -0.13192208076170722, -0.1530408546572826, 0.008140140793240462, -0.09963667378154942, -0.13043291185845118, 0.3408059504371686, 0.21675056617584873, 0.15688149415750485, 0.17897641944286766, 0.27372949842943767, 0.16811266483082513, -0.035932671184246964, 0.09042469518961477, 0.15034169669369937, 0.0514461040138038, 0.1695164046784649, -0.15679244069596293, 0.15667100628211972, 0.07703952254635878] |
711.1273 | Practical Resource Allocation Algorithms for QoS in OFDMA-based Wireless
Systems | In this work we propose an efficient resource allocation algorithm for OFDMA
based wireless systems supporting heterogeneous traffic. The proposed algorithm
provides proportionally fairness to data users and short term rate guarantees
to real-time users. Based on the QoS requirements, buffer occupancy and channel
conditions, we propose a scheme for rate requirement determination for delay
constrained sessions. Then we formulate and solve the proportional fair rate
allocation problem subject to those rate requirements and power/bandwidth
constraints. Simulations results show that the proposed algorithm provides
significant improvement with respect to the benchmark algorithm.
| cs.NI | in this work we propose an efficient resource allocation algorithm for ofdma based wireless systems supporting heterogeneous traffic the proposed algorithm provides proportionally fairness to data users and short term rate guarantees to realtime users based on the qos requirements buffer occupancy and channel conditions we propose a scheme for rate requirement determination for delay constrained sessions then we formulate and solve the proportional fair rate allocation problem subject to those rate requirements and powerbandwidth constraints simulations results show that the proposed algorithm provides significant improvement with respect to the benchmark algorithm | [['in', 'this', 'work', 'we', 'propose', 'an', 'efficient', 'resource', 'allocation', 'algorithm', 'for', 'ofdma', 'based', 'wireless', 'systems', 'supporting', 'heterogeneous', 'traffic', 'the', 'proposed', 'algorithm', 'provides', 'proportionally', 'fairness', 'to', 'data', 'users', 'and', 'short', 'term', 'rate', 'guarantees', 'to', 'realtime', 'users', 'based', 'on', 'the', 'qos', 'requirements', 'buffer', 'occupancy', 'and', 'channel', 'conditions', 'we', 'propose', 'a', 'scheme', 'for', 'rate', 'requirement', 'determination', 'for', 'delay', 'constrained', 'sessions', 'then', 'we', 'formulate', 'and', 'solve', 'the', 'proportional', 'fair', 'rate', 'allocation', 'problem', 'subject', 'to', 'those', 'rate', 'requirements', 'and', 'powerbandwidth', 'constraints', 'simulations', 'results', 'show', 'that', 'the', 'proposed', 'algorithm', 'provides', 'significant', 'improvement', 'with', 'respect', 'to', 'the', 'benchmark', 'algorithm']] | [-0.22886626410257557, -0.06140366686952842, -0.04501740521316052, 0.021833549338423283, -0.10843173675897086, -0.24524098251561594, 0.17743676610584574, 0.4295699759588941, -0.25390633583858446, -0.34170191343076545, 0.08270803727487952, -0.20934474009149912, -0.13221904698318965, 0.17566958679210232, -0.15873544721904656, 0.14767804304036594, 0.11953022936359048, 0.01866858418646228, -0.004967053337326354, -0.33443330738531507, 0.2387327160180101, 0.17202636642057612, 0.44747896042004554, 0.09806609214485987, 0.10326788946669853, 0.012503196470155988, -0.04851264102035202, -0.03807654976591711, -0.17094202784724272, 0.10325464682840824, 0.3038291409611702, 0.23721932354585631, 0.3258119282191214, -0.4544729461650486, -0.19218838307500372, 0.08055136144242209, 0.12211167269750782, 0.03763284150045365, -0.07168009519480857, -0.22891133511438966, 0.13223084874587823, -0.23479404828875608, -0.023292692165578836, -0.039099639129784446, -0.058698417848537916, 0.042039324256146086, -0.42930324120528024, 0.06409408468069792, -0.049654746337024415, -0.029099675740682236, -0.1334843799451609, -0.07084218567520705, 0.11520696770521285, 0.11839160114228119, 0.07501503005851587, 0.002400891587097684, 0.1020464337096833, -0.08724720034313024, -0.16312012539128773, 0.42881938632901595, -0.029599303167070382, -0.2167920866859672, 0.14742541307160814, 0.017431594202365806, -0.14053686199021403, 0.1334383172671432, 0.26667580183635914, 0.07540798749086326, -0.18954948679058123, -0.019245864421068487, -0.02168230471484687, 0.2078877244418001, 0.005062381282661353, 0.12443040164045828, 0.1046684253555925, 0.23415682734111729, 0.19818646810017526, 0.12886216028077205, -0.06165383552433923, -0.11686863770465487, -0.19179403598663275, -0.11423917233680739, -0.14162439711229957, -0.04408801781297054, -0.08021765608282294, -0.04114445585393063, 0.3442544488164102, 0.18183042028534185, 0.12460677913369854, 0.19472852005856112, 0.3923355475392031, 0.13744999837818678, 0.02643367945553188, 0.17768521900491221, 0.1119624545149829, 0.022041457472369075, 0.16855029628229956, -0.2747569204378954, 0.07726856548865528, 0.04434877125870274] |
711.1274 | Identification of black hole power spectral components across all
canonical states | From a uniform analysis of a large (8.5 Ms) Rossi X-ray Timing Explorer data
set of Low Mass X-ray Binaries, we present a complete identification of all the
variability components in the power spectra of black holes in their canonical
states. It is based on gradual frequency shifts of the components observed
between states, and uses a previous identification in the black hole low hard
state as a starting point. It is supported by correlations between the
frequencies in agreement with those previously found to hold for black hole and
neutron stars. Similar variability components are observed in neutron stars and
black holes (only the component observed at the highest frequencies is
different) which therefore cannot depend on source-specific characteristics
such as the magnetic field or surface of the neutron star or spin of the black
hole. As the same variability components are also observed across the jet-line
the X-ray variability cannot originate from the outer-jet but is most likely
produced in either the disk or the corona. We use the identification to
directly compare the difference in strength of the black hole and neutron star
variability and find these can be attributed to differences in frequency and
strength of high frequency features, and do not require the absence of any
components. Black holes attain their highest frequencies (in the
hard-intermediate and very-high states) at a level a factor ~6 below the
highest frequencies attained by the corresponding neutron star components,
which can be related to the mass difference between the compact objects in
these systems.
| astro-ph | from a uniform analysis of a large 85 ms rossi xray timing explorer data set of low mass xray binaries we present a complete identification of all the variability components in the power spectra of black holes in their canonical states it is based on gradual frequency shifts of the components observed between states and uses a previous identification in the black hole low hard state as a starting point it is supported by correlations between the frequencies in agreement with those previously found to hold for black hole and neutron stars similar variability components are observed in neutron stars and black holes only the component observed at the highest frequencies is different which therefore cannot depend on sourcespecific characteristics such as the magnetic field or surface of the neutron star or spin of the black hole as the same variability components are also observed across the jetline the xray variability cannot originate from the outerjet but is most likely produced in either the disk or the corona we use the identification to directly compare the difference in strength of the black hole and neutron star variability and find these can be attributed to differences in frequency and strength of high frequency features and do not require the absence of any components black holes attain their highest frequencies in the hardintermediate and veryhigh states at a level a factor 6 below the highest frequencies attained by the corresponding neutron star components which can be related to the mass difference between the compact objects in these systems | [['from', 'a', 'uniform', 'analysis', 'of', 'a', 'large', '85', 'ms', 'rossi', 'xray', 'timing', 'explorer', 'data', 'set', 'of', 'low', 'mass', 'xray', 'binaries', 'we', 'present', 'a', 'complete', 'identification', 'of', 'all', 'the', 'variability', 'components', 'in', 'the', 'power', 'spectra', 'of', 'black', 'holes', 'in', 'their', 'canonical', 'states', 'it', 'is', 'based', 'on', 'gradual', 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711.1275 | Halo phenomenon in finite many-fermion systems. Atom-positron complexes
and large-scale study of atomic nuclei | The analysis method proposed in Ref. \cite{rotival07a} is applied to
characterize halo properties in finite many-fermion systems. First, the
versatility of the method is highlighted by applying it to light and
medium-mass nuclei as well as to atom-positron and ion-positronium complexes.
Second, the dependence of nuclear halo properties on the characteristics of the
energy density functional used in self-consistent Hartree-Fock-Bogoliubov
calculations is studied. It is found that (a) the low-density behavior of the
pairing functional and the regularization/renormalization scheme must be chosen
coherently and with care to provide meaningful predictions, (b) the impact of
pairing correlations on halo properties is significant and is the result of two
competing effects, (c) the detailed characteristics of the pairing functional
has however only little importance, (d) halo properties depend significantly on
any ingredient of the energy density functional that influences the location of
single-particle levels; i.e. the effective mass, the tensor terms and the
saturation density of nuclear matter. The latter dependencies give insights to
how experimental data on medium-mass drip-line nuclei can be used in the
distant future to constrain some characteristics of the nuclear energy density
functional. Last but not least, large scale predictions of halos among all
spherical even-even nuclei are performed using specific sets of particle-hole
and particle-particle energy functionals. It is shown that halos in the ground
state of medium-mass nuclei will only be found at the very limit of neutron
stability and for a limited number of elements.
| nucl-th nucl-ex | the analysis method proposed in ref citerotival07a is applied to characterize halo properties in finite manyfermion systems first the versatility of the method is highlighted by applying it to light and mediummass nuclei as well as to atompositron and ionpositronium complexes second the dependence of nuclear halo properties on the characteristics of the energy density functional used in selfconsistent hartreefockbogoliubov calculations is studied it is found that a the lowdensity behavior of the pairing functional and the regularizationrenormalization scheme must be chosen coherently and with care to provide meaningful predictions b the impact of pairing correlations on halo properties is significant and is the result of two competing effects c the detailed characteristics of the pairing functional has however only little importance d halo properties depend significantly on any ingredient of the energy density functional that influences the location of singleparticle levels ie the effective mass the tensor terms and the saturation density of nuclear matter the latter dependencies give insights to how experimental data on mediummass dripline nuclei can be used in the distant future to constrain some characteristics of the nuclear energy density functional last but not least large scale predictions of halos among all spherical eveneven nuclei are performed using specific sets of particlehole and particleparticle energy functionals it is shown that halos in the ground state of mediummass nuclei will only be found at the very limit of neutron stability and for a limited number of elements | [['the', 'analysis', 'method', 'proposed', 'in', 'ref', 'citerotival07a', 'is', 'applied', 'to', 'characterize', 'halo', 'properties', 'in', 'finite', 'manyfermion', 'systems', 'first', 'the', 'versatility', 'of', 'the', 'method', 'is', 'highlighted', 'by', 'applying', 'it', 'to', 'light', 'and', 'mediummass', 'nuclei', 'as', 'well', 'as', 'to', 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711.1276 | DNS of the kappa-mechanism. I. Radial modes in the purely radiative case | Context: Hydrodynamical model of the kappa-mechanism in a purely radiative
case. Aims: First, to determine the physical conditions propitious to
kappa-mechanism in a layer with a configurable conductivity hollow and second,
to perform the (nonlinear) direct numerical simulations (DNS) from the most
favourable setups. Methods: A linear stability analysis applied to radial modes
using a spectral solver and DNS thanks to a high-order finite difference code
are compared. Results: Changing the hollow properties (location and shape) lead
to well-defined instability strips. For a given position in the layer, the
amplitude and width of the hollow appear to be the key parameters to get
unstable modes driven by kappa-mechanism. The DNS achieved from these more
auspicious configurations confirm the growth rates as well as structures of
linearly unstable modes. The nonlinear saturation follows through intricate
couplings between the excited fundamental mode and higher damped overtones.
| astro-ph | context hydrodynamical model of the kappamechanism in a purely radiative case aims first to determine the physical conditions propitious to kappamechanism in a layer with a configurable conductivity hollow and second to perform the nonlinear direct numerical simulations dns from the most favourable setups methods a linear stability analysis applied to radial modes using a spectral solver and dns thanks to a highorder finite difference code are compared results changing the hollow properties location and shape lead to welldefined instability strips for a given position in the layer the amplitude and width of the hollow appear to be the key parameters to get unstable modes driven by kappamechanism the dns achieved from these more auspicious configurations confirm the growth rates as well as structures of linearly unstable modes the nonlinear saturation follows through intricate couplings between the excited fundamental mode and higher damped overtones | [['context', 'hydrodynamical', 'model', 'of', 'the', 'kappamechanism', 'in', 'a', 'purely', 'radiative', 'case', 'aims', 'first', 'to', 'determine', 'the', 'physical', 'conditions', 'propitious', 'to', 'kappamechanism', 'in', 'a', 'layer', 'with', 'a', 'configurable', 'conductivity', 'hollow', 'and', 'second', 'to', 'perform', 'the', 'nonlinear', 'direct', 'numerical', 'simulations', 'dns', 'from', 'the', 'most', 'favourable', 'setups', 'methods', 'a', 'linear', 'stability', 'analysis', 'applied', 'to', 'radial', 'modes', 'using', 'a', 'spectral', 'solver', 'and', 'dns', 'thanks', 'to', 'a', 'highorder', 'finite', 'difference', 'code', 'are', 'compared', 'results', 'changing', 'the', 'hollow', 'properties', 'location', 'and', 'shape', 'lead', 'to', 'welldefined', 'instability', 'strips', 'for', 'a', 'given', 'position', 'in', 'the', 'layer', 'the', 'amplitude', 'and', 'width', 'of', 'the', 'hollow', 'appear', 'to', 'be', 'the', 'key', 'parameters', 'to', 'get', 'unstable', 'modes', 'driven', 'by', 'kappamechanism', 'the', 'dns', 'achieved', 'from', 'these', 'more', 'auspicious', 'configurations', 'confirm', 'the', 'growth', 'rates', 'as', 'well', 'as', 'structures', 'of', 'linearly', 'unstable', 'modes', 'the', 'nonlinear', 'saturation', 'follows', 'through', 'intricate', 'couplings', 'between', 'the', 'excited', 'fundamental', 'mode', 'and', 'higher', 'damped', 'overtones']] | [-0.11911999294130106, 0.11277292295967022, -0.06103093508055382, 0.05245137993996549, -0.08179269599915845, -0.12903211903823023, 0.044646091846516356, 0.3364170517209762, -0.27885087161444566, -0.271360640443163, 0.11014808722555042, -0.23809340971961823, -0.08490898681985629, 0.220564797648371, 0.03365872401951088, 0.08596357330437361, 0.08095609903749493, -0.04312379659515702, -0.042887873811802514, -0.1500332957560507, 0.30068932357890943, 0.10048511139272402, 0.2736678467416722, -0.012242690807195485, 0.011623109050560743, -0.0745679519960605, -0.02540238986774865, 0.0021979193940448263, -0.1638201655619519, 0.05539126173243858, 0.2268489002906588, 0.019569737181882374, 0.2517443563750324, -0.4551659797758071, -0.21224133852956584, 0.0011944157328495446, 0.1825227455475316, 0.1393111620224469, -0.03499048993732382, -0.2547887932062925, 0.10366652756541346, -0.14431287822986227, -0.1750103445115706, -0.061150565450791165, -0.011651359918889485, 0.04536976733369455, -0.28684425040329287, 0.09465084922784525, 0.04363168867308155, 0.04144084044188882, -0.06464104628280944, -0.07246655371919689, -0.11461422877457356, 0.10188552381926759, 0.05285730515525858, -0.024865801653100386, 0.12085993048822274, -0.12915717661720313, -0.09112724562065624, 0.4027911365200352, -0.09102721818878005, -0.20962990241565016, 0.23819372363828328, -0.14253134019478844, -0.04146051930567612, 0.16580497837599573, 0.1891154947095654, 0.14304436636868761, -0.06520338284867143, -0.016911767761484953, 0.023166125213416915, 0.2101061828224273, 0.09728089378849189, 0.010202241991969964, 0.2267420105862483, 0.18450169579591602, 0.027703695403437853, 0.1403806917636151, -0.07711913255560729, -0.08835984888072643, -0.27463818407462287, -0.08184953117678459, -0.12016458234474056, -0.009873732831490796, -0.04741618206844578, -0.16981306271756896, 0.4077265335557361, 0.10965186592269068, 0.1985046130268731, -0.00831773651144532, 0.322058684406026, 0.1321983151833087, 0.0794505956906101, 0.06369557928863084, 0.2865863315883972, 0.211012577303336, 0.1176332952390011, -0.2703737595828797, 0.03077827608689808, 0.05365792066085204] |
711.1277 | Hecke operators and Hilbert modular forms | Let F be a real quadratic field with ring of integers O and with class number
1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to
compute the action of the Hecke operators on the cohomology H^3 (Gamma; C). For
F real quadratic this cohomology group contains the cuspidal cohomology
corresponding to cuspidal Hilbert modular forms of parallel weight 2. Hence
this technique gives a way to compute the Hecke action on these Hilbert modular
forms.
| math.NT | let f be a real quadratic field with ring of integers o and with class number 1 let gamma be a congruence subgroup of gl_2 o we describe a technique to compute the action of the hecke operators on the cohomology h3 gamma c for f real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal hilbert modular forms of parallel weight 2 hence this technique gives a way to compute the hecke action on these hilbert modular forms | [['let', 'f', 'be', 'a', 'real', 'quadratic', 'field', 'with', 'ring', 'of', 'integers', 'o', 'and', 'with', 'class', 'number', '1', 'let', 'gamma', 'be', 'a', 'congruence', 'subgroup', 'of', 'gl_2', 'o', 'we', 'describe', 'a', 'technique', 'to', 'compute', 'the', 'action', 'of', 'the', 'hecke', 'operators', 'on', 'the', 'cohomology', 'h3', 'gamma', 'c', 'for', 'f', 'real', 'quadratic', 'this', 'cohomology', 'group', 'contains', 'the', 'cuspidal', 'cohomology', 'corresponding', 'to', 'cuspidal', 'hilbert', 'modular', 'forms', 'of', 'parallel', 'weight', '2', 'hence', 'this', 'technique', 'gives', 'a', 'way', 'to', 'compute', 'the', 'hecke', 'action', 'on', 'these', 'hilbert', 'modular', 'forms']] | [-0.25172616844927825, 0.05872453714183382, -0.1267760382666264, -0.014218317382152618, -0.13028198814904893, -0.16690939998277177, -0.04413763564769869, 0.29971376590338755, -0.3745976111587183, -0.21700440593247797, 0.009798065014758411, -0.23219498308996359, -0.1240995881366141, 0.21771522590683567, -0.09708014530716119, -0.04958652968253986, 0.03678047224120409, 0.1784328472007204, -0.07809220115297738, -0.31746282222692246, 0.42708813702618637, -0.031333635538172575, 0.14944636029547748, -0.0154270779479433, 0.027091618661803228, 0.015813187874255726, 0.010857770414907991, -0.15213231403196667, -0.12050139747652007, 0.20630713037134688, 0.3727596846903548, 0.046451852128001646, 0.20633744883040586, -0.36698309966811427, -0.057141154901021056, 0.26359974522787477, 0.1314936145266265, -0.08443633112826465, 0.012545943533265849, -0.27066493804141145, 0.10073439074668711, -0.17148928605250002, -0.17104138743224334, -0.12802682055827277, 0.11138725059572607, -0.038190859657378846, -0.2939030312024701, -0.041759344180011086, 0.017074486631670115, 0.19281185336732937, -0.09112667084246139, -0.12383372973604703, -0.04207439454456354, 0.008977438075996843, -0.06288710760849493, 0.0979639903978548, 0.12499166055249027, -0.06809889033032915, -0.08755390879548626, 0.3821099428460002, -0.11163877979651048, -0.20434003363558909, 0.09868836938690992, -0.22810801230141042, -0.17002392447565073, 0.12728233180112308, 0.11410686805453381, 0.16530473250895739, 0.034267401633163296, 0.2864116199686836, -0.1211827830583961, 0.05407256208199226, 0.09064066391380757, -0.07261126198702389, 0.11923026430914983, -0.03135531899852701, 0.0630652089146926, 0.12459361482768055, -0.004746422073861331, 0.05037077907242893, -0.39331154654055467, -0.2566328739034541, -0.1114377379503653, 0.187410730474778, -0.11328139407887199, -0.19867505383804257, 0.4412143435559155, 0.024940219382973916, 0.20504306094651972, 0.18591443763723897, 0.17255248190018774, 0.1255954194262072, 0.1338822767900211, 0.0642237960257464, -0.0032436507121648317, 0.22345272634454347, -0.09924082806402887, -0.18575726257476174, -0.06354383779452527, 0.23411724038054177] |
711.1278 | Gauge invariance and renormalization-group effects in
transverse-momentum dependent parton distribution functions | A range of issues pertaining to the use of Wilson lines in integrated and
transverse-momentum dependent (TMD) parton distribution functions (PDF) is
discussed. The relation between gauge invariance and the renormalization
properties of the Wilson-line integrals is given particular attention. Using an
anomalous-dimensions based analysis in the light-cone gauge, a generalized
definition of the TMD PDFs is proposed, which employs a cusped Wilson line, and
contains an intrinsic "Coulomb-like" phase.
| hep-ph | a range of issues pertaining to the use of wilson lines in integrated and transversemomentum dependent tmd parton distribution functions pdf is discussed the relation between gauge invariance and the renormalization properties of the wilsonline integrals is given particular attention using an anomalousdimensions based analysis in the lightcone gauge a generalized definition of the tmd pdfs is proposed which employs a cusped wilson line and contains an intrinsic coulomblike phase | [['a', 'range', 'of', 'issues', 'pertaining', 'to', 'the', 'use', 'of', 'wilson', 'lines', 'in', 'integrated', 'and', 'transversemomentum', 'dependent', 'tmd', 'parton', 'distribution', 'functions', 'pdf', 'is', 'discussed', 'the', 'relation', 'between', 'gauge', 'invariance', 'and', 'the', 'renormalization', 'properties', 'of', 'the', 'wilsonline', 'integrals', 'is', 'given', 'particular', 'attention', 'using', 'an', 'anomalousdimensions', 'based', 'analysis', 'in', 'the', 'lightcone', 'gauge', 'a', 'generalized', 'definition', 'of', 'the', 'tmd', 'pdfs', 'is', 'proposed', 'which', 'employs', 'a', 'cusped', 'wilson', 'line', 'and', 'contains', 'an', 'intrinsic', 'coulomblike', 'phase']] | [-0.11476818760991961, 0.14666079178383318, -0.16729725110412075, 0.0990118253554312, -0.09160479981506216, -0.048841824518867594, -0.00987075731171754, 0.42344372876096464, -0.14735008803182753, -0.18429560028016567, -0.004313095685337548, -0.28188512219197076, -0.09912433642624081, 0.10643659710236218, -0.006961414765944515, 0.12665644846856594, -0.009484036920079287, -0.06167632133524487, -0.1833871639320168, -0.18221498252756463, 0.3996217279303549, 0.02548631278467297, 0.3471260235604385, 0.1597829175222179, 0.11782016205614891, 0.08911755847056275, -0.11625661841337231, -0.026384052507532084, -0.09784818044526206, 0.11705335522529439, 0.17435857456217965, 0.06422994774428831, 0.15898202521645505, -0.327873431875006, -0.15883402204971112, 0.018929983016805374, 0.16236361687112114, 0.0596551768383875, 0.0026019376861201463, -0.2751360358265431, -0.01224931546797355, -0.21247767419486807, -0.19618216316566628, -0.08511124348834805, 0.0015859502178711305, 0.017710436014053615, -0.27689682491852535, 0.06528801965000837, -0.034840033835043076, 0.05455004978601052, 0.043185667438513556, -0.13124404591170774, -0.07494682661406156, 0.07427758963667261, 0.09003494105274802, 0.07882100062957709, 0.1340725609317314, -0.19468789575646794, -0.11722524017365514, 0.425654449419159, -0.04305397076161065, -0.2422270888624632, 0.06502936952207508, -0.1278056913305182, -0.18253875556199448, 0.10632023613193863, 0.16330990984873928, 0.12376558896748052, -0.18866539986777134, 0.14488435939605604, -0.04971881087302514, 0.14888547794839394, 0.06973202449634024, 0.056483236866989646, 0.19971295559535857, 0.10323128549287608, -0.009938332218460846, 0.10720089820729893, -0.07188061635563339, -0.1705964484076569, -0.4042084931895353, -0.12612641772822195, -0.15367520203732926, 0.05843902587640923, -0.14177099146236552, -0.23576263343726378, 0.43294846320497815, 0.14335469934293002, 0.25374841004394105, 0.041644088507198015, 0.24436967796983494, 0.1944211372781707, 0.11350707871083549, 0.05847093319196416, 0.15527797158321607, 0.21098414569607246, 0.1240306989690736, -0.223426124803128, -0.010449136188928631, 0.14847730172703555] |
711.1279 | Geodesic motion in the neighbourhood of submanifolds embedded in warped
product spaces | We study the classical geodesic motions of nonzero rest mass test particles
and photons in (3+1+n)- dimensional warped product spaces. An important feature
of these spaces is that they allow a natural decoupling between the motions in
the (3+1)-dimensional spacetime and those in the extra n dimensions. Using this
decoupling and employing phase space analysis we investigate the conditions for
confinement of particles and photons to the (3+1)- spacetime submanifold. In
addition to providing information regarding the motion of photons, we also show
that these motions are not constrained by the value of the extrinsic curvature.
We obtain the general conditions for the confinement of geodesics in the case
of pseudo-Riemannian manifolds as well as establishing the conditions for the
stability of such confinement. These results also generalise a recent result of
the authors concerning the embeddings of hypersurfaces with codimension one.
| gr-qc | we study the classical geodesic motions of nonzero rest mass test particles and photons in 31n dimensional warped product spaces an important feature of these spaces is that they allow a natural decoupling between the motions in the 31dimensional spacetime and those in the extra n dimensions using this decoupling and employing phase space analysis we investigate the conditions for confinement of particles and photons to the 31 spacetime submanifold in addition to providing information regarding the motion of photons we also show that these motions are not constrained by the value of the extrinsic curvature we obtain the general conditions for the confinement of geodesics in the case of pseudoriemannian manifolds as well as establishing the conditions for the stability of such confinement these results also generalise a recent result of the authors concerning the embeddings of hypersurfaces with codimension one | [['we', 'study', 'the', 'classical', 'geodesic', 'motions', 'of', 'nonzero', 'rest', 'mass', 'test', 'particles', 'and', 'photons', 'in', '31n', 'dimensional', 'warped', 'product', 'spaces', 'an', 'important', 'feature', 'of', 'these', 'spaces', 'is', 'that', 'they', 'allow', 'a', 'natural', 'decoupling', 'between', 'the', 'motions', 'in', 'the', '31dimensional', 'spacetime', 'and', 'those', 'in', 'the', 'extra', 'n', 'dimensions', 'using', 'this', 'decoupling', 'and', 'employing', 'phase', 'space', 'analysis', 'we', 'investigate', 'the', 'conditions', 'for', 'confinement', 'of', 'particles', 'and', 'photons', 'to', 'the', '31', 'spacetime', 'submanifold', 'in', 'addition', 'to', 'providing', 'information', 'regarding', 'the', 'motion', 'of', 'photons', 'we', 'also', 'show', 'that', 'these', 'motions', 'are', 'not', 'constrained', 'by', 'the', 'value', 'of', 'the', 'extrinsic', 'curvature', 'we', 'obtain', 'the', 'general', 'conditions', 'for', 'the', 'confinement', 'of', 'geodesics', 'in', 'the', 'case', 'of', 'pseudoriemannian', 'manifolds', 'as', 'well', 'as', 'establishing', 'the', 'conditions', 'for', 'the', 'stability', 'of', 'such', 'confinement', 'these', 'results', 'also', 'generalise', 'a', 'recent', 'result', 'of', 'the', 'authors', 'concerning', 'the', 'embeddings', 'of', 'hypersurfaces', 'with', 'codimension', 'one']] | [-0.14570316700527156, 0.14241277907975428, -0.07681003285729339, 0.0795996457692498, -0.028998461002680723, -0.07273655670078498, -0.02751709067616874, 0.3580563552841597, -0.2283077883324258, -0.28403167596454143, 0.11543981960817228, -0.2563652362031731, -0.10899862099576636, 0.16047756252875944, -0.08847590500134712, 0.037454395331147215, 0.05523729271871943, 0.043723922824605146, -0.07342000135866611, -0.23884417291756876, 0.40618051349146056, 0.036789272151047915, 0.23035921905399628, 0.06807464525483968, 0.108202424418496, 0.00889198622554803, -0.016973924773915763, 0.031203617426873394, -0.17262476137611757, 0.1240265621265895, 0.18508092579464624, 0.06948109180338576, 0.18398919744207196, -0.39767374262266175, -0.24366860378953353, 0.1312193955478429, 0.1524885163124336, 0.10152119928052727, -0.04712869856559055, -0.32154547089782975, 0.0239711021217452, -0.08307364209338655, -0.17646786628920638, -0.09174092510111735, 0.006394609500667159, -0.016577623996057247, -0.2462278628872681, 0.08491563228160655, 0.1249550665723829, 0.03955092022365982, -0.10705064550947241, -0.06040264094415659, -0.03702763248559639, 0.1304718684273916, 0.09402774331901012, -0.0071619764637713594, 0.10477174463039132, -0.11417550910626002, -0.12440495484616791, 0.398175749721163, -0.07155238761579696, -0.2686926943551696, 0.20897514139577536, -0.16895674883624093, -0.13361406036075468, 0.08579623570967414, 0.1689793376765369, 0.15573593758663137, -0.11789839849217047, 0.09078272858234517, -0.04327377738614737, 0.08264876456117966, 0.12168652631185005, 0.08733119959098576, 0.1864798991321127, 0.13116285796801913, 0.06809031464894053, 0.1303302901747807, -0.060229769524213085, -0.08977517189743311, -0.3659335983012029, -0.23195619569291218, -0.13315592118388067, 0.07735958654676567, -0.1622373575150383, -0.13467929937014303, 0.358622706006609, 0.12100892171548994, 0.20940229335380062, 0.04282225880929282, 0.26187074286076173, 0.057247255117186466, 0.04266189883174506, 0.10511731679065967, 0.2830622857830054, 0.1608658641934211, 0.07938539362053426, -0.15440564048083, -0.061266309489056626, 0.10119801685607559] |
711.128 | The classical pion field in a nucleus | A self-consistent symmetry arises when the nucleon angular momentum j and the
isospin t are coupled to a grand spin G. Closed G shells become sources of a
classical pion field with a hedgehog shape. Although the amplitude of the pion
field, as measured by the chiral angle, is small, it is found to perturb
significantly the energies of the nucleon orbits.
| nucl-th | a selfconsistent symmetry arises when the nucleon angular momentum j and the isospin t are coupled to a grand spin g closed g shells become sources of a classical pion field with a hedgehog shape although the amplitude of the pion field as measured by the chiral angle is small it is found to perturb significantly the energies of the nucleon orbits | [['a', 'selfconsistent', 'symmetry', 'arises', 'when', 'the', 'nucleon', 'angular', 'momentum', 'j', 'and', 'the', 'isospin', 't', 'are', 'coupled', 'to', 'a', 'grand', 'spin', 'g', 'closed', 'g', 'shells', 'become', 'sources', 'of', 'a', 'classical', 'pion', 'field', 'with', 'a', 'hedgehog', 'shape', 'although', 'the', 'amplitude', 'of', 'the', 'pion', 'field', 'as', 'measured', 'by', 'the', 'chiral', 'angle', 'is', 'small', 'it', 'is', 'found', 'to', 'perturb', 'significantly', 'the', 'energies', 'of', 'the', 'nucleon', 'orbits']] | [-0.18316135402288167, 0.27064790204167366, -0.08832287097409848, 0.09720550814358096, -0.06527279635831233, -0.07606110466463913, 0.011438338393946328, 0.33859338636900627, -0.18742588975827298, -0.2711039600713599, -0.039062495675734096, -0.26620711234488315, -0.01458700870223824, 0.09396012520958338, 0.054440229680509336, 0.01063594875496722, 0.033621052595516364, 0.09820302034495398, -0.09578510660738233, -0.1409220287816659, 0.3372706329570182, 0.031380590967713826, 0.19582678897225583, 0.07781278118941813, 0.10742619266778591, 0.01575245707476091, 0.020660681041678595, 0.024382418997946284, -0.12067292919833093, 0.03605223624336143, 0.20978133239822777, -0.023965327467228615, 0.15188001275753543, -0.3668273996802107, -0.18056736615366273, 0.09274557019553838, 0.1251298509530663, 0.14578436982006795, -0.019420374331304863, -0.2770993443987062, 0.03323615474566337, -0.1832373128835893, -0.24405356884873922, -0.09201961616805245, 0.0805608744229821, 0.028681678066570914, -0.2909650016470902, 0.1112211564135167, 0.03493566829110346, 0.03300150482344531, -0.029118537301978758, -0.20000540732496208, -0.11175097892391345, 0.03768134155290036, 0.1308629063987023, 0.17997840793818357, 0.2153047415476683, -0.17115720454603434, -0.06388078173322062, 0.43558693674182697, -0.020147120317203865, -0.1892095050744472, 0.07008328439757949, -0.200943176897483, -0.0680534620093362, 0.18629934058915223, 0.10841963913351778, 0.11019439794754068, -0.14916796957244985, 0.13593254752753814, -0.0683525038071938, 0.18240299258914386, 0.10775737531272875, 0.02190496202468151, 0.26195336167790717, 0.1223657069814151, 0.04019001530363194, 0.06909125170392555, -0.13745067819892878, -0.09794066529420595, -0.28534063002875737, -0.0716055881442322, -0.18482101816053112, 0.12852732798144703, -0.07122842574678925, -0.13140402767983747, 0.3893433517716344, 0.03505896112502312, 0.22663003747021, -0.008865127850684428, 0.2812312264596262, 0.11849773884563136, 0.13884655228485504, 0.09886256654957129, 0.276333826564012, 0.24828938090227423, 0.09254613874908237, -0.30731796874334255, -0.08615176652317806, 0.05127263282455744] |
711.1281 | Hydrostatic equilibrium of a porous intracluster medium: implications
for mass fraction and X-ray luminosity | The presence of dilute hot cavities in the intracluster medium (ICM) at the
cores of clusters of galaxies changes the relation between gas temperature and
its X-ray emission properties. Using the hydrostatic equations of a porous
medium we solve for the ICM density for a given temperature as a function of
the filling factor of dilute bubbles. We find that at a given temperature, the
core X-ray luminosity increases with the filling factor. If the frequency of
AGNs in clusters were higher in the past, then the filling factor could
correspondingly be significant, with implications for the cluster scaling
relations at high redshifts. This is especially important for the core
properties, including the temperature-luminosity ($L_X-T$) relation and
estimates of the core gas mass. The results imply an epoch-dependent
sensitivity of the $L_X-T$ relation in the core to the porosity of the ICM.
Detection of such an effect would give new insights into AGN feedback.
| astro-ph | the presence of dilute hot cavities in the intracluster medium icm at the cores of clusters of galaxies changes the relation between gas temperature and its xray emission properties using the hydrostatic equations of a porous medium we solve for the icm density for a given temperature as a function of the filling factor of dilute bubbles we find that at a given temperature the core xray luminosity increases with the filling factor if the frequency of agns in clusters were higher in the past then the filling factor could correspondingly be significant with implications for the cluster scaling relations at high redshifts this is especially important for the core properties including the temperatureluminosity l_xt relation and estimates of the core gas mass the results imply an epochdependent sensitivity of the l_xt relation in the core to the porosity of the icm detection of such an effect would give new insights into agn feedback | [['the', 'presence', 'of', 'dilute', 'hot', 'cavities', 'in', 'the', 'intracluster', 'medium', 'icm', 'at', 'the', 'cores', 'of', 'clusters', 'of', 'galaxies', 'changes', 'the', 'relation', 'between', 'gas', 'temperature', 'and', 'its', 'xray', 'emission', 'properties', 'using', 'the', 'hydrostatic', 'equations', 'of', 'a', 'porous', 'medium', 'we', 'solve', 'for', 'the', 'icm', 'density', 'for', 'a', 'given', 'temperature', 'as', 'a', 'function', 'of', 'the', 'filling', 'factor', 'of', 'dilute', 'bubbles', 'we', 'find', 'that', 'at', 'a', 'given', 'temperature', 'the', 'core', 'xray', 'luminosity', 'increases', 'with', 'the', 'filling', 'factor', 'if', 'the', 'frequency', 'of', 'agns', 'in', 'clusters', 'were', 'higher', 'in', 'the', 'past', 'then', 'the', 'filling', 'factor', 'could', 'correspondingly', 'be', 'significant', 'with', 'implications', 'for', 'the', 'cluster', 'scaling', 'relations', 'at', 'high', 'redshifts', 'this', 'is', 'especially', 'important', 'for', 'the', 'core', 'properties', 'including', 'the', 'temperatureluminosity', 'l_xt', 'relation', 'and', 'estimates', 'of', 'the', 'core', 'gas', 'mass', 'the', 'results', 'imply', 'an', 'epochdependent', 'sensitivity', 'of', 'the', 'l_xt', 'relation', 'in', 'the', 'core', 'to', 'the', 'porosity', 'of', 'the', 'icm', 'detection', 'of', 'such', 'an', 'effect', 'would', 'give', 'new', 'insights', 'into', 'agn', 'feedback']] | [-0.06940465888338067, 0.1458104335109162, -0.07196257520140475, 0.07599987524452728, -0.047378757821891895, -0.014954015654935078, 0.08085665359107366, 0.38092457744982333, -0.21985556773369672, -0.3188649295608501, 0.06866041592975425, -0.30051953638238565, -0.01858241076569085, 0.19349233745053024, 0.039314389343724235, -0.02224168296058227, -0.005657934516444561, -0.0377985131518625, -0.11171798363128412, -0.24897907314256632, 0.35024756732602397, 0.10978249217649656, 0.23075647394674795, 0.08496957734928696, 0.08130136187121804, -0.07797711880653854, -0.026528920004652304, 0.05640815582516446, -0.14995774982578172, 0.031202686012863537, 0.20931698954376912, 0.0753946958424209, 0.25405688031104867, -0.3862419598282303, -0.22868683414850097, 0.051419460834548264, 0.16153884772967256, 0.04257380066729792, -0.08345434110152064, -0.2191500181646703, 0.04483731420009167, -0.1878724479080214, -0.19537899709724693, 0.04384987835179676, 0.039860712663669674, 0.043479524507241074, -0.21037130975829704, 0.18990906989867135, 0.041022491262614875, 0.0272157278589227, -0.1296243527700048, -0.09886351371994363, -0.022915611179642283, 0.11698255279137716, -0.001149033967332987, 0.0249558690899088, 0.2166991943203203, -0.21724212802069673, -0.00018283646469089118, 0.41052354422289056, -0.03822748778484665, -0.028981102715161713, 0.2137506401662219, -0.20797381233182047, -0.16084342299716384, 0.1314694007780016, 0.19192079623387037, 0.018422583725859785, -0.12268049547723918, -0.0010977903269110368, -0.05951707500302197, 0.23435127834317745, 0.03765235498982977, 0.05133069769551905, 0.28426782961317953, 0.1641240454363552, 0.034212138987593836, 0.1624031312372112, -0.13429351929309113, 0.001980732554908503, -0.23152457724488643, -0.15808285247268422, -0.1107947421139227, 0.04718037725686301, -0.18874354017032885, -0.15113571630307027, 0.31839086414713946, 0.09300373689356176, 0.21881447448364955, 0.034891742559803, 0.2867147378599295, 0.15558528474625805, 0.08990690854337223, 0.14264388874402972, 0.2886233247405329, 0.20575381770984016, 0.07724504977730769, -0.2888991035182368, 0.061480228274353094, 0.03228840398203049] |
711.1282 | Calculations of the Efficiency of Registration of Thermal Neutrons by
Complex Converters Constructed on the Basis of Gadolinium Foils | We consider the results of modeling of the efficiency of registration of
thermal neutrons by the converters, which are made from natural gadolinium and
its 157 isotope foils. Efficiency for a case of falling of neutrons under
various angles to a plane of converters is calculated. It is shown, that at
small angles of falling of neutrons to a plane of converters it is possible to
receive the efficiency of registration close to a theoretical limit. Efficiency
of the complex converter made of kapton supporting film with gadolinium
converters layered on both its sides is considered. All calculations are
carried out for four fixed neutron energies, which correspond to the
wavelengths of 1, 1.8, 3 and 4 $\AA$.
| physics.ins-det nucl-ex nucl-th | we consider the results of modeling of the efficiency of registration of thermal neutrons by the converters which are made from natural gadolinium and its 157 isotope foils efficiency for a case of falling of neutrons under various angles to a plane of converters is calculated it is shown that at small angles of falling of neutrons to a plane of converters it is possible to receive the efficiency of registration close to a theoretical limit efficiency of the complex converter made of kapton supporting film with gadolinium converters layered on both its sides is considered all calculations are carried out for four fixed neutron energies which correspond to the wavelengths of 1 18 3 and 4 aa | [['we', 'consider', 'the', 'results', 'of', 'modeling', 'of', 'the', 'efficiency', 'of', 'registration', 'of', 'thermal', 'neutrons', 'by', 'the', 'converters', 'which', 'are', 'made', 'from', 'natural', 'gadolinium', 'and', 'its', '157', 'isotope', 'foils', 'efficiency', 'for', 'a', 'case', 'of', 'falling', 'of', 'neutrons', 'under', 'various', 'angles', 'to', 'a', 'plane', 'of', 'converters', 'is', 'calculated', 'it', 'is', 'shown', 'that', 'at', 'small', 'angles', 'of', 'falling', 'of', 'neutrons', 'to', 'a', 'plane', 'of', 'converters', 'it', 'is', 'possible', 'to', 'receive', 'the', 'efficiency', 'of', 'registration', 'close', 'to', 'a', 'theoretical', 'limit', 'efficiency', 'of', 'the', 'complex', 'converter', 'made', 'of', 'kapton', 'supporting', 'film', 'with', 'gadolinium', 'converters', 'layered', 'on', 'both', 'its', 'sides', 'is', 'considered', 'all', 'calculations', 'are', 'carried', 'out', 'for', 'four', 'fixed', 'neutron', 'energies', 'which', 'correspond', 'to', 'the', 'wavelengths', 'of', '1', '18', '3', 'and', '4', 'aa']] | [-0.11569036886991807, 0.14288253423568428, -0.027946188023819003, -0.008526617396717607, 0.005660398107542956, -0.12386205051315285, 0.06114431210572563, 0.40181887585480336, -0.209266168511299, -0.32513761326228663, 0.06810638282084995, -0.3436004977862714, -0.005499928534599179, 0.2487491522521033, -0.02221825108784488, 0.07357634886826972, 0.04943513158329968, 0.006525247736628783, -0.08194692906680896, -0.196731256193805, 0.2425083942411436, 0.11145003186538815, 0.29703410323689516, 0.044597874408868, 0.12182015401184938, -0.04280712977998843, 0.010894745398881071, -0.013227645611643033, -0.10190816774750494, 0.09292157038935792, 0.2761085216682089, 0.05799964046741094, 0.16831733298219614, -0.43359749158055094, -0.17991693966658945, 0.05312177612272612, 0.07686426779018495, 0.027200607513866812, -0.04950239639275439, -0.19958118904358313, 0.13130900435252274, -0.18146043310289162, -0.11550873561004588, -0.00761075700649013, 0.017679247364374193, 0.0667979906755105, -0.2529799305770736, -0.012080422878833645, 0.06613535650263903, 0.0497866809082398, -0.042714590990079286, -0.1836797390882936, -0.048404717254570795, 0.10331149001495313, 0.07425998961375395, 0.004760707665424226, 0.14676123497202614, -0.11104297595319607, -0.044294091048097964, 0.4266894911336949, 0.014265735412679486, -0.17888419686863988, 0.17868227151151495, -0.15931340919854908, -0.06486426652764302, 0.22197932157255076, 0.14126958535052836, 0.13663915615781383, -0.12249436826145245, 0.020636355215328413, 0.0031341478086502877, 0.19665305350780865, 0.12655365625712073, 0.002432296289352037, 0.2323547836898242, 0.21601899952422512, 0.006364888014366566, 0.1560584316286653, -0.18552647919544035, -0.03985537712164302, -0.2655402050961314, -0.15160673732032715, -0.14618108938033772, 0.05062217409604119, -0.05748500295305996, -0.1359805663407808, 0.3420424815030548, 0.1051584930332788, 0.16977856868593874, -0.012001003791830675, 0.2992107829521016, 0.07904574583616045, 0.05817765806692108, -0.0031422381289303303, 0.3035371634098938, 0.16403060753127338, 0.09659714792002687, -0.20210590371783127, -0.004574403738981839, -0.011219337831203968] |
711.1283 | Erratum: Luminosity function, sizes and FR dichotomy of radio-loud AGN | This erratum corrects a number of formulae containing mistakes in the paper
'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS,
v. 381, p.1548. The corrections do not alter any of the conclusions in the
original paper.
| astro-ph | this erratum corrects a number of formulae containing mistakes in the paper luminosity function sizes and fr dichotomy of radioloud agn 2007 mnras v 381 p1548 the corrections do not alter any of the conclusions in the original paper | [['this', 'erratum', 'corrects', 'a', 'number', 'of', 'formulae', 'containing', 'mistakes', 'in', 'the', 'paper', 'luminosity', 'function', 'sizes', 'and', 'fr', 'dichotomy', 'of', 'radioloud', 'agn', '2007', 'mnras', 'v', '381', 'p1548', 'the', 'corrections', 'do', 'not', 'alter', 'any', 'of', 'the', 'conclusions', 'in', 'the', 'original', 'paper']] | [-0.06689179414197018, 0.01747595494721042, -0.06844564350812059, 0.12004388852571872, -0.12913406151959575, -0.10414809075576302, 0.08140765932560164, 0.3387557358333939, -0.08327652310560409, -0.40637575315409585, -0.006599455783878894, -0.2868435550481081, -0.07644951274912608, 0.12951300462622098, -0.2080881970591451, -0.03985656954740223, 0.04363631849226199, -0.12049843209158433, -0.07867056609278447, -0.3127469286371611, 0.25882448769162264, 0.054608212587864774, 0.16346911910774284, 0.017240042994289023, 0.017917285648811804, -0.03147916976932289, -0.12819004546556817, 0.018325027249949544, -0.16706593354281626, 0.026469933494043193, 0.2674738277901748, 0.13750043506488988, 0.27881060572537153, -0.3230174525003684, -0.12186112477885265, 0.13100516227515122, 0.14224886842758247, 0.13832748906784936, 0.010328717517519468, -0.22535140900627562, 0.04923227510267967, -0.24144308172828077, -0.14434505454999835, 0.09669578232263264, 0.14327912890401326, 0.028799296948004906, -0.2142055416234622, 0.12146088272627246, 0.19937251616073282, 0.060199788961510514, -0.06368357767841142, -0.14583581183595876, -0.014748006568927514, 0.06110938640899564, 0.04655879946719659, 0.09739864024480707, 0.11714085397359572, -0.11724102045531924, -0.08948438881136674, 0.3616126228712107, -0.0030963784818978687, -0.09837166188088686, 0.11835394375712464, -0.15681001328324018, -0.20169949011975213, 0.13690828940659566, 0.1737063577104556, 0.09815895959342781, -0.1526430357541693, 0.13605151156202497, -0.07257138295589309, 0.24615036617768438, 0.08001192411603897, 0.023335528658016733, 0.16121384126477337, -0.01362902631425593, -0.0705473659939966, 0.10897556658049948, -0.0961542288331609, 0.062281455795623754, -0.39993244958551305, -0.10711256850902971, -0.13207096102843552, 0.10501268866975902, -0.08597041851508518, -0.17021681358547588, 0.40951426636035504, 0.1958947768925052, 0.20873436412626975, 0.10078804096893261, 0.23687832077082835, 0.08432437430479024, 0.051926219374811476, 0.16728289533210428, 0.30108972158479064, 0.11628603551071137, 0.1112744539871193, -0.2374628416666957, 0.08109638713741381, 0.09619354152757871] |
711.1284 | The complete LQG propagator: II. Asymptotic behavior of the vertex | In a previous article we have show that there are difficulties in obtaining
the correct graviton propagator from the loop-quantum-gravity dynamics defined
by the Barrett-Crane vertex amplitude. Here we show that a vertex amplitude
that depends nontrivially on the intertwiners can yield the correct propagator.
We give an explicit example of asymptotic behavior of a vertex amplitude that
gives the correct full graviton propagator in the large distance limit.
| gr-qc | in a previous article we have show that there are difficulties in obtaining the correct graviton propagator from the loopquantumgravity dynamics defined by the barrettcrane vertex amplitude here we show that a vertex amplitude that depends nontrivially on the intertwiners can yield the correct propagator we give an explicit example of asymptotic behavior of a vertex amplitude that gives the correct full graviton propagator in the large distance limit | [['in', 'a', 'previous', 'article', 'we', 'have', 'show', 'that', 'there', 'are', 'difficulties', 'in', 'obtaining', 'the', 'correct', 'graviton', 'propagator', 'from', 'the', 'loopquantumgravity', 'dynamics', 'defined', 'by', 'the', 'barrettcrane', 'vertex', 'amplitude', 'here', 'we', 'show', 'that', 'a', 'vertex', 'amplitude', 'that', 'depends', 'nontrivially', 'on', 'the', 'intertwiners', 'can', 'yield', 'the', 'correct', 'propagator', 'we', 'give', 'an', 'explicit', 'example', 'of', 'asymptotic', 'behavior', 'of', 'a', 'vertex', 'amplitude', 'that', 'gives', 'the', 'correct', 'full', 'graviton', 'propagator', 'in', 'the', 'large', 'distance', 'limit']] | [-0.17312921952132299, 0.16291928247643966, -0.17346200814295182, 0.10723285509300405, -0.11466545931509008, -0.07584826877016736, 0.04803171964443248, 0.33224396925905475, -0.17197123809677103, -0.22735584561588187, 0.036280287316649396, -0.2655255068430974, -0.21899192758660385, 0.14708708493929842, -0.06484247329712346, -0.0014618866118615952, 0.13085204935835107, 0.10499536678653912, -0.045867359758341227, -0.23562964037114728, 0.3329140724803227, 0.01668476163531127, 0.2387140266313825, 0.09084261833703604, 0.14976149136065572, 0.07606288281174889, -0.016951521494142387, 0.00937502947298513, -0.15730212637150753, 0.026402569686373074, 0.20390160074052605, 0.08671963835081113, 0.17676606452416466, -0.40350517214856285, -0.15815957993997828, 0.08433166352789039, 0.19794245959138093, 0.1911167879116492, -0.015235297363318934, -0.22612752872046785, 0.04470793157815933, -0.18065121885982977, -0.1788963963871525, -0.06634440105678378, 0.03588832194066566, -0.047442205030929996, -0.2475353121028646, 0.0888617519505214, 0.040254262991357544, -0.03402134207873673, 0.012987417000197414, -0.14472636438744224, -0.04954235186881345, 0.1464810675293531, 0.04788415524366217, 0.07257707514192747, 0.0758049015243212, -0.16973741700116923, -0.1304163817431022, 0.2904432796049809, -0.10573960983437365, -0.2252740680064628, 0.09184835637933102, -0.19168588266694458, -0.12049647702741018, 0.13204919357878575, 0.08366754830585442, 0.10085934076620184, -0.16173401384519925, 0.20829125855495964, -0.0552107277393773, 0.1500907345418481, 0.09888393439325517, 0.08917781281069029, 0.16421112385780914, 0.0776927325118711, 0.05334934575037788, 0.1622273639060449, -0.01585760295215616, -0.06743249727710002, -0.41162591335782106, -0.06650684459600598, -0.14957377492733623, 0.08495963507912298, -0.14810909660182137, -0.20812988273151542, 0.4096780395054299, 0.20525543680549532, 0.21707098885182885, 0.10591414821860583, 0.2419268145374414, 0.1971145888353509, 0.06751447195268195, 0.08220467275089544, 0.27654624351070844, 0.10737074377433653, 0.03900478834934209, -0.2724752555554058, 0.004576188008523668, 0.14343349194572563] |
711.1285 | A classification of spherical symmetric CR manifolds | In this paper we classify the simply connected, spherical pseudohermitian
manifolds whose Webster metric is CR-symmetric.
| math.DG | in this paper we classify the simply connected spherical pseudohermitian manifolds whose webster metric is crsymmetric | [['in', 'this', 'paper', 'we', 'classify', 'the', 'simply', 'connected', 'spherical', 'pseudohermitian', 'manifolds', 'whose', 'webster', 'metric', 'is', 'crsymmetric']] | [-0.2329045915355285, 0.11225226383345822, -0.05101553555577994, 0.05248471076289813, -0.1927466335395972, -0.19732005360225838, -0.1315213412201653, 0.41640806396802266, -0.23398729581385852, -0.17874014178911846, 0.06964977345584582, -0.25876095046599706, -0.320907565454642, 0.08487257125476996, -0.26159161823258426, -0.08436223876972994, 0.028004593153794607, 0.13626172100193798, -0.09585816077888012, -0.24672288298606873, 0.6348129729429881, -0.02523398498694102, 0.19794048269589742, 0.08581531047821045, 0.0719298893585801, -0.08492856693143645, -0.029293551668524744, 0.10454439263169964, -0.16380205477277437, 0.18950035311281682, 0.2749558426439762, 0.04408529453600447, 0.12897247808674972, -0.35966100556155045, -0.1685091199974219, 0.3094747118651867, 0.14262840213874975, -0.020426805317401885, 0.052813189725081124, -0.33865897556145985, 0.07216594107449055, -0.14122341784338158, -0.21371193441251915, -0.08051973258455594, -0.020805296674370765, -0.06384303246935209, -0.0888815072675546, -0.02900671890626351, 0.17822062609096367, 0.02341348733752966, -0.13025059141218662, 0.001087275023261706, 0.010095926094800233, 0.07026754861387113, -0.06943659271734456, 0.10110412944729129, 0.0928835641903182, 0.0860167043749243, -0.04586127446964383, 0.3360837880211572, -0.02885978218788902, -0.4082025767614444, 0.06244078800082207, -0.07609289083629847, -0.17732505351305008, 0.04549523451908802, 0.19041022285819054, 0.24405032644669214, -0.18351814995209376, 0.20116289481520652, -0.09778930942217509, 0.0019033472985029221, 0.12268068380653858, -0.08931918467084567, 0.09633218571543693, 0.1427214199056228, 0.09127000362301867, 0.1485209954281648, 0.08222303092479706, -0.027680376979211965, -0.3456291596094767, -0.25868781208992003, -0.22485423584779105, 0.23241158959766228, -0.11208120783170064, -0.24710564414660136, 0.429651187111934, -0.10118788480758667, 0.15736816078424454, 0.1693867555509011, 0.2904660212496916, -0.014030404388904572, 0.006986852114399274, 0.1809448198415339, 0.22570315127571425, 0.2641066886484623, 0.021209574366609255, -0.07405137335881591, -0.13744535918037096, 0.16097761966908972] |
711.1286 | A Conformal de Rham Complex | We introduce the notion of a conformal de Rham complex of a Riemannian
manifold. This is a graded differential Banach algebra and it is invariant
under quasiconformal maps, in particular the associated cohomology is a new
quasiconformal invariant.
| math.CV math.DG | we introduce the notion of a conformal de rham complex of a riemannian manifold this is a graded differential banach algebra and it is invariant under quasiconformal maps in particular the associated cohomology is a new quasiconformal invariant | [['we', 'introduce', 'the', 'notion', 'of', 'a', 'conformal', 'de', 'rham', 'complex', 'of', 'a', 'riemannian', 'manifold', 'this', 'is', 'a', 'graded', 'differential', 'banach', 'algebra', 'and', 'it', 'is', 'invariant', 'under', 'quasiconformal', 'maps', 'in', 'particular', 'the', 'associated', 'cohomology', 'is', 'a', 'new', 'quasiconformal', 'invariant']] | [-0.24742165997036195, 0.073511594489805, -0.1546888466630327, 0.1189512728872758, -0.19881161253311133, -0.10589392282264798, -0.15912903600225323, 0.3278885417078671, -0.3752018832846692, -0.1290496685787251, 0.12810874835428732, -0.22814436766662097, -0.25363184590088694, 0.13506826054991075, -0.27302691291429493, 0.0806783163723977, 0.018277888063733514, 0.11442580230926212, -0.14479931833614645, -0.1698584118214632, 0.565599407216436, 0.0021488056763222345, 0.2190088764029114, 0.031945337080335444, 0.2269144235914083, -0.03461590535497587, -0.03030463667145293, -0.03165847273837579, -0.19646776251887021, 0.17887268041407592, 0.31642466553143767, 0.02333918218745997, 0.1903711075061246, -0.2727408264518568, -0.11490534412625589, 0.19294621560134387, 0.05593824940488527, -0.014833626833646313, -0.0852600245822319, -0.33811674786633567, 0.09824739547299319, -0.11365643849498347, -0.13843212811594927, -0.1071964024419063, 0.017123512016903413, -0.09537507760289468, -0.25163046106402026, 0.007727796910330653, 0.11362396474731595, 0.1823772508896103, -0.09261065868562773, 0.04267476801760495, -0.12181544103537147, 0.009163934492359036, -0.09569239007970809, 0.1426785411558261, 0.187521999272959, -0.022249329547201723, -0.12094475319118876, 0.3638535499768822, -0.12606232652538701, -0.3574949589214827, 0.10639355875747769, -0.18461333514240227, -0.28290498766459915, 0.1038338437088226, 0.06032176747133857, 0.2056719954370668, -0.07144056973782809, 0.3249121195572355, -0.13424538159252783, 0.016716446776531245, 0.07107674644181602, -0.026576924578923928, 0.13814472691401056, 0.1264837042514333, 0.17915534049174503, 0.14189677224739602, 0.06165474030575225, -0.08604042584958829, -0.35229218064954404, -0.30641181835610615, -0.08751328117949397, 0.17858375046298056, -0.16102244615467498, -0.2116289745624128, 0.4428879301995039, 0.033343166521502245, 0.19388226721141683, 0.15065065837514244, 0.1976894611786855, 0.07774947230753146, 0.09343797581172303, 0.017445067740290573, 0.11974788863996141, 0.2505481518608959, 0.06350739318326018, -0.08916889771966166, -0.10690135003900841, 0.22413153758909748] |
711.1287 | Study of Micro Pixel Photon Counters for a high granularity
scintillator-based hadron calorimeter | A new Geiger mode avalanche photodiode, the Micro Pixel Photon Counter
(MPPC), was recently released by Hamamatsu. It has a high photo-detection
efficiency in the 420 nm spectral region. This product can represent an elegant
candidate for the design of a high granularity scintillator based hadron
calorimeter for the International Linear Collider. In fact, the direct readout
of the blue scintillation photons with a MPPC is a feasible techological
solution. The readout of a plastic scintillator by a MPPC, both mediated by the
traditional wavelength shifting fiber, and directly coupled, has been
systematically studied.
| physics.ins-det | a new geiger mode avalanche photodiode the micro pixel photon counter mppc was recently released by hamamatsu it has a high photodetection efficiency in the 420 nm spectral region this product can represent an elegant candidate for the design of a high granularity scintillator based hadron calorimeter for the international linear collider in fact the direct readout of the blue scintillation photons with a mppc is a feasible techological solution the readout of a plastic scintillator by a mppc both mediated by the traditional wavelength shifting fiber and directly coupled has been systematically studied | [['a', 'new', 'geiger', 'mode', 'avalanche', 'photodiode', 'the', 'micro', 'pixel', 'photon', 'counter', 'mppc', 'was', 'recently', 'released', 'by', 'hamamatsu', 'it', 'has', 'a', 'high', 'photodetection', 'efficiency', 'in', 'the', '420', 'nm', 'spectral', 'region', 'this', 'product', 'can', 'represent', 'an', 'elegant', 'candidate', 'for', 'the', 'design', 'of', 'a', 'high', 'granularity', 'scintillator', 'based', 'hadron', 'calorimeter', 'for', 'the', 'international', 'linear', 'collider', 'in', 'fact', 'the', 'direct', 'readout', 'of', 'the', 'blue', 'scintillation', 'photons', 'with', 'a', 'mppc', 'is', 'a', 'feasible', 'techological', 'solution', 'the', 'readout', 'of', 'a', 'plastic', 'scintillator', 'by', 'a', 'mppc', 'both', 'mediated', 'by', 'the', 'traditional', 'wavelength', 'shifting', 'fiber', 'and', 'directly', 'coupled', 'has', 'been', 'systematically', 'studied']] | [-0.05925179875245498, 0.21646549382077415, -0.08362290158527352, -0.03191103628005392, -0.03969867211536214, -0.21343978521944854, 0.00202176176131733, 0.39014233144060256, -0.17867822947120796, -0.34240717596064013, 0.0865825464503379, -0.3431763210564211, -0.007720918925378913, 0.21088339698811373, -0.07262062730288923, 0.14108960928335304, 0.04079185640539534, -0.03549594343489697, 0.010876915637924466, -0.16588870127515126, 0.1382655694039278, 0.20325338871528706, 0.36675557063552, 0.02865641406657154, 0.2394289966492403, -0.014200744534572285, -0.05138484194313967, -0.033513638232233786, -0.05980139128583413, 0.07925824769422092, 0.2963481373604267, 0.050950845981377266, 0.2343442038662972, -0.4085481898078034, -0.1731226074519337, 0.06321335563896804, 0.09515359778938595, -0.014794937575296048, -0.11158431403499136, -0.28882970744042946, 0.09914249386538261, -0.24905081073783578, -0.07847036203239313, 0.04522654779195305, -0.019822685178169, 0.02378151828538306, -0.22040248667240464, -0.056520958195730886, -0.01658664198131651, 0.0009909478787292717, 0.0639330091916265, -0.07317065661372517, 0.02085315617882917, -0.016560460190458964, -0.05335117818697566, -0.008713820115512898, 0.20275668057322663, -0.1478636922760396, -0.12315240394203894, 0.29041186165344973, -0.0499665056285198, -0.13872258818798489, 0.13164841159627402, -0.14784780603843511, -0.01567964602051483, 0.2669249967401547, 0.15011995907632575, 0.08735157831782295, -0.22446248917565031, 0.05123825343163003, -0.0017023946018388835, 0.270952723589876, 0.12349380557525462, 0.08488591272454028, 0.22690016636124222, 0.32163413364680543, 0.043234626712497844, 0.18849682119945366, -0.2087206064212707, 0.03962272456696918, -0.3067666679039918, -0.2040808171744869, -0.16895067249268284, 0.04341945778616073, -0.05381074425922732, -0.1267012510253417, 0.42479617701422784, 0.02948569075795271, 0.11594843102358682, -0.058888964945830964, 0.33360188959106324, 0.09466358054909975, 0.16324545844033692, -0.06366505408462422, 0.3610709135731061, 0.15588682890439065, 0.1657363751162124, -0.20231850684109715, 0.009372615205344333, 0.05541879823932084] |
711.1288 | Review on qudits production and their application to Quantum
Communication and Studies on Local Realism | The codification in higher dimensional Hilbert Spaces (whose logical basis
states are dubbed qudits in analogy with bidimensional qubits) presents various
advantages both for Quantum Information applications and for studies on
Foundations of Quantum Mechanics.
Purpose of this review is to introduce qudits, to summarize their application
to Quantum Communication and researches on Local Realism and, finally, to
describe some recent experiment for realizing them.
A Little more in details: after a short introduction, we will consider the
advantages of testing local realism with qudits, discussing both the 3-4
dimensional case (both for maximally and non-maximally entanglement) and then
the extension to an arbitrary dimension. Afterwards, we will discuss the
theoretical results on using qudits for quantum communication, epitomizing the
outcomes on a larger security in Quantum Key Distribution protocols (again
considering separately qutrits, ququats and generalization to arbitrary
dimension). Finally, we will present the experiments performed up to now for
producing quantum optical qudits and their applications. In particular, we will
mention schemes based on interferometric set-ups, orbital angular momentum
entanglement and biphoton polarization. Finally, we will summarize what
hyperentanglement is and its applications.
| quant-ph | the codification in higher dimensional hilbert spaces whose logical basis states are dubbed qudits in analogy with bidimensional qubits presents various advantages both for quantum information applications and for studies on foundations of quantum mechanics purpose of this review is to introduce qudits to summarize their application to quantum communication and researches on local realism and finally to describe some recent experiment for realizing them a little more in details after a short introduction we will consider the advantages of testing local realism with qudits discussing both the 34 dimensional case both for maximally and nonmaximally entanglement and then the extension to an arbitrary dimension afterwards we will discuss the theoretical results on using qudits for quantum communication epitomizing the outcomes on a larger security in quantum key distribution protocols again considering separately qutrits ququats and generalization to arbitrary dimension finally we will present the experiments performed up to now for producing quantum optical qudits and their applications in particular we will mention schemes based on interferometric setups orbital angular momentum entanglement and biphoton polarization finally we will summarize what hyperentanglement is and its applications | [['the', 'codification', 'in', 'higher', 'dimensional', 'hilbert', 'spaces', 'whose', 'logical', 'basis', 'states', 'are', 'dubbed', 'qudits', 'in', 'analogy', 'with', 'bidimensional', 'qubits', 'presents', 'various', 'advantages', 'both', 'for', 'quantum', 'information', 'applications', 'and', 'for', 'studies', 'on', 'foundations', 'of', 'quantum', 'mechanics', 'purpose', 'of', 'this', 'review', 'is', 'to', 'introduce', 'qudits', 'to', 'summarize', 'their', 'application', 'to', 'quantum', 'communication', 'and', 'researches', 'on', 'local', 'realism', 'and', 'finally', 'to', 'describe', 'some', 'recent', 'experiment', 'for', 'realizing', 'them', 'a', 'little', 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'setups', 'orbital', 'angular', 'momentum', 'entanglement', 'and', 'biphoton', 'polarization', 'finally', 'we', 'will', 'summarize', 'what', 'hyperentanglement', 'is', 'and', 'its', 'applications']] | [-0.10652991700225284, 0.15526174406365278, -0.05348843446353803, 0.05304232828281316, -0.032006897153081124, -0.2061550692488389, 0.03016125267761684, 0.38696548155433425, -0.19717981745363086, -0.23630201650431026, 0.10381630515818156, -0.2664164471112796, -0.13925182191604699, 0.23790681347049572, -0.10029868415582019, 0.1084091677012652, 0.060024805749590335, 0.02124549382542436, -0.11367652867794842, -0.31785100748309414, 0.331569729301122, 0.058509513997548335, 0.2854829079307918, 0.06764984566567314, 0.09780479928075865, 0.05246495341731084, -0.045091081083424994, -0.008964477937567878, -0.15108449480219469, 0.15927761803173485, 0.28784395355882275, 0.16725424871452757, 0.26823333474631245, -0.45435347391443476, -0.1892227776096882, 0.0860014090616558, 0.11784125824106505, 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711.1289 | Deep Chandra Monitoring Observations of NGC 3379: Catalog of Source
Properties | We present the properties of the discrete X-ray sources detected in our
monitoring program of the `typical' elliptical galaxy, NGC 3379, observed with
Chandra ACIS-S in five separate pointings, resulting in a co-added exposure of
324-ks. From this deep observation, 132 sources have been detected within the
region overlapped by all observations, 98 of which lie within the D25 ellipse
of the galaxy. These 132 sources range in Lx from 6E35 erg/s (with 3sigma upper
limit <4E36 erg/s) to ~2E39 erg/s, including one source with Lx>1E39 erg/s,
which has been classified as a ULX. From optical data, 10 X-ray sources have
been determined to be coincident with a globular cluster, these sources tend to
have high X-ray luminosity, with three of these sources exhibiting Lx> 1E38
erg/s. From X-ray source photometry, it has been determined that the majority
of the 132 sources that have well constrained colors, have values that are
consistent with typical LMXB spectra. Additionally to this, a sub-population of
10 sources has been found to exhibit very hard spectra and it is expected that
most of these sources are absorbed background AGN. There are 64 sources in this
population that exhibit long-term variability, indicating that they are
accreting compact objects. Five of these sources have been identified as
transient candidates, with a further 3 possible transients. Spectral variations
have also been identified in the majority of the source population, where a
diverse range of variability has been identified, indicating that there are
many different source classes located within this galaxy.
| astro-ph | we present the properties of the discrete xray sources detected in our monitoring program of the typical elliptical galaxy ngc 3379 observed with chandra aciss in five separate pointings resulting in a coadded exposure of 324ks from this deep observation 132 sources have been detected within the region overlapped by all observations 98 of which lie within the d25 ellipse of the galaxy these 132 sources range in lx from 6e35 ergs with 3sigma upper limit 4e36 ergs to 2e39 ergs including one source with lx1e39 ergs which has been classified as a ulx from optical data 10 xray sources have been determined to be coincident with a globular cluster these sources tend to have high xray luminosity with three of these sources exhibiting lx 1e38 ergs from xray source photometry it has been determined that the majority of the 132 sources that have well constrained colors have values that are consistent with typical lmxb spectra additionally to this a subpopulation of 10 sources has been found to exhibit very hard spectra and it is expected that most of these sources are absorbed background agn there are 64 sources in this population that exhibit longterm variability indicating that they are accreting compact objects five of these sources have been identified as transient candidates with a further 3 possible transients spectral variations have also been identified in the majority of the source population where a diverse range of variability has been identified indicating that there are many different source classes located within this galaxy | [['we', 'present', 'the', 'properties', 'of', 'the', 'discrete', 'xray', 'sources', 'detected', 'in', 'our', 'monitoring', 'program', 'of', 'the', 'typical', 'elliptical', 'galaxy', 'ngc', '3379', 'observed', 'with', 'chandra', 'aciss', 'in', 'five', 'separate', 'pointings', 'resulting', 'in', 'a', 'coadded', 'exposure', 'of', '324ks', 'from', 'this', 'deep', 'observation', '132', 'sources', 'have', 'been', 'detected', 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711.129 | Conception individuelle et collective. Approche de l'ergonomie cognitive
[Individual and Collective Design. The Cognitive-Ergonomics Approach] | This text presents the cognitive-ergonomics approach to design, in both its
individual and collective form. It focuses on collective design with respect to
individual design. The theoretical framework adopted is that of information
processing, specified for design problems. The cognitive characteristics of
design problems are presented: the effects of their ill-defined character and
of the different types of representation implemented in solving these problems,
amongst others the more or less "satisficing" character of the different
possible solutions. The text first describes the cognitive activities
implemented in both individual and collective design: different types of
control activities and of the executive activities of solution development and
evaluation. Specific collective-design characteristics are then presented:
co-design and distributed-design activities, temporo-operative and cognitive
synchronisation, and different types of argumentation, of co-designers'
intervention modes in the design process, of solution-proposals evaluation. The
paper concludes by a confrontation between the two types of design, individual
and collective.
| cs.OH | this text presents the cognitiveergonomics approach to design in both its individual and collective form it focuses on collective design with respect to individual design the theoretical framework adopted is that of information processing specified for design problems the cognitive characteristics of design problems are presented the effects of their illdefined character and of the different types of representation implemented in solving these problems amongst others the more or less satisficing character of the different possible solutions the text first describes the cognitive activities implemented in both individual and collective design different types of control activities and of the executive activities of solution development and evaluation specific collectivedesign characteristics are then presented codesign and distributeddesign activities temporooperative and cognitive synchronisation and different types of argumentation of codesigners intervention modes in the design process of solutionproposals evaluation the paper concludes by a confrontation between the two types of design individual and collective | [['this', 'text', 'presents', 'the', 'cognitiveergonomics', 'approach', 'to', 'design', 'in', 'both', 'its', 'individual', 'and', 'collective', 'form', 'it', 'focuses', 'on', 'collective', 'design', 'with', 'respect', 'to', 'individual', 'design', 'the', 'theoretical', 'framework', 'adopted', 'is', 'that', 'of', 'information', 'processing', 'specified', 'for', 'design', 'problems', 'the', 'cognitive', 'characteristics', 'of', 'design', 'problems', 'are', 'presented', 'the', 'effects', 'of', 'their', 'illdefined', 'character', 'and', 'of', 'the', 'different', 'types', 'of', 'representation', 'implemented', 'in', 'solving', 'these', 'problems', 'amongst', 'others', 'the', 'more', 'or', 'less', 'satisficing', 'character', 'of', 'the', 'different', 'possible', 'solutions', 'the', 'text', 'first', 'describes', 'the', 'cognitive', 'activities', 'implemented', 'in', 'both', 'individual', 'and', 'collective', 'design', 'different', 'types', 'of', 'control', 'activities', 'and', 'of', 'the', 'executive', 'activities', 'of', 'solution', 'development', 'and', 'evaluation', 'specific', 'collectivedesign', 'characteristics', 'are', 'then', 'presented', 'codesign', 'and', 'distributeddesign', 'activities', 'temporooperative', 'and', 'cognitive', 'synchronisation', 'and', 'different', 'types', 'of', 'argumentation', 'of', 'codesigners', 'intervention', 'modes', 'in', 'the', 'design', 'process', 'of', 'solutionproposals', 'evaluation', 'the', 'paper', 'concludes', 'by', 'a', 'confrontation', 'between', 'the', 'two', 'types', 'of', 'design', 'individual', 'and', 'collective']] | [-0.14083326813556127, 0.0553375576333753, -0.05646846353493888, 0.02544393366538159, -0.11162632761587357, -0.14252064630774589, 0.03057202337197317, 0.39391167801644267, -0.26077163412781623, -0.3360301644304478, 0.08604637722581111, -0.24887448472516804, -0.2082051384567829, 0.18726009859799825, -0.060639207225678296, 0.04695404801991415, 0.0503912544423907, 0.04075036535746065, -0.03618056157298771, -0.20934865744142184, 0.33138700506874713, 0.04029969936638171, 0.36121945683202095, 0.01507906892561707, 0.06547988668597977, 0.006166424782111727, -0.08959440252711547, -0.019574126347514063, -0.07272210603701312, 0.19052046375220705, 0.3337109989261833, 0.22895314641104175, 0.3363740562589775, -0.44261233330029864, -0.1723523831998544, 0.034753403957162435, 0.1274898474072588, 0.04082988361860144, -0.0262255582666418, -0.29218598079129027, 0.06967933236717663, -0.1696798656906547, -0.06277629270314657, -0.06363622993873111, 0.013515805038784084, 0.04880321905787649, -0.218512578180124, 0.000996913512012568, 0.07497333111883751, 0.08893254647224114, -0.09566913815616662, -0.14290807617442874, 0.0390988533385098, 0.20849118845954795, 0.05673683987195796, -0.0639077852199111, 0.14607783144917982, -0.15301885748571106, -0.1813777264111258, 0.3979177297831609, 0.0529798311550684, -0.226178050968507, 0.22469894727370862, -0.05757732186948174, -0.13586111306694562, 0.06919802040953575, 0.24408091172126348, 0.11038108216277484, -0.1879324918741296, -0.009019292624876031, 0.06396069416198237, 0.147117095601199, 0.024950614995483695, 0.04895513010179174, 0.18701789253873044, 0.22770243799635048, 0.00948929067958018, 0.12257661718297108, -0.0281015925478704, -0.13028662504090383, -0.29488029246186387, -0.12781467946438954, -0.10045373911230729, -0.035110961416222414, -0.06953761826403808, -0.13638026585866664, 0.46505613942823276, 0.1728360339919916, 0.12357281657449644, 0.0231793503867109, 0.2974959835410118, 0.06071953342360412, 0.03315669517353948, 0.030256684774789832, 0.18942690977890944, 0.04061647300961716, 0.12573558331370868, -0.2618488370408786, 0.08987607254710947, -0.011023013515333677] |
711.1291 | Convergence of Singular integrals with general measures | We show that L^2-bounded singular integral in metric spaces with respect to
general measures and kernels converge weakly. This implies a kind of average
convergence almost everywhere. For measures with zero density we prove the
almost everywhere existence of principal values.
| math.CA math.FA | we show that l2bounded singular integral in metric spaces with respect to general measures and kernels converge weakly this implies a kind of average convergence almost everywhere for measures with zero density we prove the almost everywhere existence of principal values | [['we', 'show', 'that', 'l2bounded', 'singular', 'integral', 'in', 'metric', 'spaces', 'with', 'respect', 'to', 'general', 'measures', 'and', 'kernels', 'converge', 'weakly', 'this', 'implies', 'a', 'kind', 'of', 'average', 'convergence', 'almost', 'everywhere', 'for', 'measures', 'with', 'zero', 'density', 'we', 'prove', 'the', 'almost', 'everywhere', 'existence', 'of', 'principal', 'values']] | [-0.16806688554948424, 0.08344417095479624, -0.1264725441067684, 0.09102823622467951, 0.006872854172819998, -0.08772972284066605, -0.020180718655266414, 0.39910146180631184, -0.25568031281141973, -0.13097852627070983, 0.13408976510201195, -0.31341637970834246, -0.14264267104359843, 0.18021085304094525, -0.09439799616613039, 0.07387017859351855, 0.09884030577476795, 0.1418992511519208, -0.15951513525711872, -0.26776237036215095, 0.42363250410047976, -0.014415245753054211, 0.2800909246249897, 0.043228989603315914, 0.15262208288399184, -0.01556059727218093, -0.017807805876633744, 0.06130470303682292, -0.17817950174414762, 0.12246228827209008, 0.24141128170417575, 0.06845709147136204, 0.29695766746270946, -0.2938512578016011, -0.15276681939594267, 0.24164316544263828, 0.12074941428514516, -0.04986507561421249, 0.014808999161554, -0.25781315326599813, 0.15300253531952365, -0.08665402660646089, -0.2541617526354768, -0.15656816305183782, 0.010444948222579025, 0.11095196331237875, -0.30312907273267825, 0.1037635297355492, 0.11650791132777202, 0.04663828315167892, -0.15797961303373662, -0.07463627065270685, 0.017984805219784017, 0.06178690239832532, 0.10059452951863045, 0.04613551387290766, 0.06819113244007273, -0.03918642527423799, -0.06075312169950183, 0.28101386584727683, -0.1930588592161856, -0.28384412189082403, 0.17019324186371593, -0.22747912649746713, -0.15096945324685515, 0.11755274536042679, 0.09024514412371124, 0.15027481980803536, -0.05337079416778756, 0.1317630097392106, -0.06550265484341852, 0.11065539595012258, 0.10822254819114034, 0.06215990454713791, 0.1090808309069494, 0.03592337454419311, 0.27911051185574476, 0.1278090039495288, 0.04455706323837725, -0.12184448007965551, -0.3487180364204616, -0.18474012563323103, -0.1616118945090509, 0.12748600933246496, -0.1475889466971971, -0.29936177719657014, 0.33239032119149114, 0.12107966717605184, 0.21192568844956597, 0.2117420991019505, 0.23002733385599242, 0.14830430901450356, 0.0015496112315393075, 0.18130718223841452, 0.21179936553646878, 0.1764791825922524, 0.06114647303503461, -0.08486358735074358, 0.0554992095680862, 0.13572915287393078] |
711.1292 | Microscopic Derivation of Collective Hamiltonian by Means of the
Adiabatic Self-Consistent Collective Coordinate Method | Microscopic dynamics of the oblate-prolate shape coexistence/mixing phenomena
in 68Se and 72Kr are studied by means of the adiabatic self-consistent
collective coordinate (ASCC) method in conjunction with the
pairing-plus-quadrupole (P+Q) Hamiltonian including the quadrupole pairing
interaction. Quantum collective Hamiltonian is constructed, and excitation
spectra, spectroscopic quadrupole moments and quadrupole transition properties
are evaluated. The effect of the time-odd pair field on the collective mass
(inertia function) of the large-amplitude vibration and the rotational moments
of inertia about three principal axes is evaluated. Basic properties of the
shape coexistence/mixing are well reproduced. The calculation indicates that
the oblate-prolate shape mixing decreases as the angular momentum increases.
| nucl-th | microscopic dynamics of the oblateprolate shape coexistencemixing phenomena in 68se and 72kr are studied by means of the adiabatic selfconsistent collective coordinate ascc method in conjunction with the pairingplusquadrupole pq hamiltonian including the quadrupole pairing interaction quantum collective hamiltonian is constructed and excitation spectra spectroscopic quadrupole moments and quadrupole transition properties are evaluated the effect of the timeodd pair field on the collective mass inertia function of the largeamplitude vibration and the rotational moments of inertia about three principal axes is evaluated basic properties of the shape coexistencemixing are well reproduced the calculation indicates that the oblateprolate shape mixing decreases as the angular momentum increases | [['microscopic', 'dynamics', 'of', 'the', 'oblateprolate', 'shape', 'coexistencemixing', 'phenomena', 'in', '68se', 'and', '72kr', 'are', 'studied', 'by', 'means', 'of', 'the', 'adiabatic', 'selfconsistent', 'collective', 'coordinate', 'ascc', 'method', 'in', 'conjunction', 'with', 'the', 'pairingplusquadrupole', 'pq', 'hamiltonian', 'including', 'the', 'quadrupole', 'pairing', 'interaction', 'quantum', 'collective', 'hamiltonian', 'is', 'constructed', 'and', 'excitation', 'spectra', 'spectroscopic', 'quadrupole', 'moments', 'and', 'quadrupole', 'transition', 'properties', 'are', 'evaluated', 'the', 'effect', 'of', 'the', 'timeodd', 'pair', 'field', 'on', 'the', 'collective', 'mass', 'inertia', 'function', 'of', 'the', 'largeamplitude', 'vibration', 'and', 'the', 'rotational', 'moments', 'of', 'inertia', 'about', 'three', 'principal', 'axes', 'is', 'evaluated', 'basic', 'properties', 'of', 'the', 'shape', 'coexistencemixing', 'are', 'well', 'reproduced', 'the', 'calculation', 'indicates', 'that', 'the', 'oblateprolate', 'shape', 'mixing', 'decreases', 'as', 'the', 'angular', 'momentum', 'increases']] | [-0.174492367223138, 0.21399010056629778, -0.06539018149709418, 0.09433348923533534, -0.037099176878109576, -0.05437341092509173, -0.0725341952472393, 0.3547257139037053, -0.2230533179605291, -0.2913712442808208, -0.04264865572830396, -0.27553382027590057, -0.09128149194155066, 0.1422938714535641, 0.0607250862089651, 0.026442849547380493, 0.00939621627774267, 0.037685930586996534, -0.0926825413990411, -0.08825817070125291, 0.2843850254302933, 0.06557127475361561, 0.2778918090320769, 0.014884503704628774, 0.05669351601086202, 0.04922694838384078, 0.038937567742097945, 0.0024439820487584386, -0.11934363780178717, 0.04289357821412739, 0.15233470594033688, 0.030257062574050256, 0.15078490496103075, -0.3838412123776618, -0.16713922743552498, 0.015691446333325334, 0.1759128888492428, 0.13190443908568428, -0.005830369203440136, -0.29390234548066346, -0.025580106116831303, -0.1905983618349724, -0.2150662816395717, -0.17796376821629348, 0.03456679595567818, 0.1204283948455538, -0.21959471204040926, 0.1467328111241971, 0.08269294571461311, 0.15336316711978898, -0.12876057438108893, -0.18742819276771375, -0.1052196970054259, 0.0831689104371305, 0.10933619090577676, -0.004523366259499674, 0.22108068720748028, -0.07618161192984275, -0.07543769137312968, 0.42129118733462834, -0.019289752206809466, -0.1516255188910734, 0.07428166714629957, -0.1668842443398067, -0.12028188680415042, 0.15370567885360548, 0.12648250392549448, 0.1268049343267367, -0.11287663931115752, 0.06262351649902051, 0.043540162069811705, 0.15615429169542733, 0.035084823984652756, 0.046192684557311056, 0.2190446599430981, 0.11080455996450923, -0.04891619739965314, 0.09139495521695132, -0.13801427460719076, -0.1500317213258573, -0.26808172457274937, -0.05564750487073546, -0.24002565701625178, 0.01982106383269032, -0.08555140535934784, -0.1340837253168935, 0.4377851049349244, 0.037051274791537296, 0.19416474715052617, -0.04791256701130243, 0.2845356133943867, 0.1290735848514097, 0.04218388553265305, 0.015500715904913488, 0.33047997225962933, 0.22273846608808354, 0.04604618005631935, -0.39945566718122877, 0.04418260152673437, 0.08966006773989647] |
711.1293 | The Behavior of Electronic Interferometers in the Non-Linear Regime | We investigate theoretically the behavior of the current oscillations in an
electronic Mach-Zehnder interferometer (MZI) as a function of its source bias.
Recently, The MZI interference visibility showed an unexplained lobe pattern
behavior with a peculiar phase rigidity. Moreover, the effect did not depend on
the MZI paths difference. We argue that these effects may be a new many-body
manifestation of particle-wave duality of quantum mechanics. When biasing the
interferometer sources beyond the linear response regime, quantum shot-noise (a
particle phenomena) must affect the interference pattern of the electrons that
creates it, as a result from a simple invariance argument. An approximate
solution of the interacting Hamiltonian indeed shows that the interference
visibility has a lobe pattern with applied bias with a period proportional to
the average path length and independent of the paths difference, together with
a phase rigidity.
| cond-mat.mes-hall | we investigate theoretically the behavior of the current oscillations in an electronic machzehnder interferometer mzi as a function of its source bias recently the mzi interference visibility showed an unexplained lobe pattern behavior with a peculiar phase rigidity moreover the effect did not depend on the mzi paths difference we argue that these effects may be a new manybody manifestation of particlewave duality of quantum mechanics when biasing the interferometer sources beyond the linear response regime quantum shotnoise a particle phenomena must affect the interference pattern of the electrons that creates it as a result from a simple invariance argument an approximate solution of the interacting hamiltonian indeed shows that the interference visibility has a lobe pattern with applied bias with a period proportional to the average path length and independent of the paths difference together with a phase rigidity | [['we', 'investigate', 'theoretically', 'the', 'behavior', 'of', 'the', 'current', 'oscillations', 'in', 'an', 'electronic', 'machzehnder', 'interferometer', 'mzi', 'as', 'a', 'function', 'of', 'its', 'source', 'bias', 'recently', 'the', 'mzi', 'interference', 'visibility', 'showed', 'an', 'unexplained', 'lobe', 'pattern', 'behavior', 'with', 'a', 'peculiar', 'phase', 'rigidity', 'moreover', 'the', 'effect', 'did', 'not', 'depend', 'on', 'the', 'mzi', 'paths', 'difference', 'we', 'argue', 'that', 'these', 'effects', 'may', 'be', 'a', 'new', 'manybody', 'manifestation', 'of', 'particlewave', 'duality', 'of', 'quantum', 'mechanics', 'when', 'biasing', 'the', 'interferometer', 'sources', 'beyond', 'the', 'linear', 'response', 'regime', 'quantum', 'shotnoise', 'a', 'particle', 'phenomena', 'must', 'affect', 'the', 'interference', 'pattern', 'of', 'the', 'electrons', 'that', 'creates', 'it', 'as', 'a', 'result', 'from', 'a', 'simple', 'invariance', 'argument', 'an', 'approximate', 'solution', 'of', 'the', 'interacting', 'hamiltonian', 'indeed', 'shows', 'that', 'the', 'interference', 'visibility', 'has', 'a', 'lobe', 'pattern', 'with', 'applied', 'bias', 'with', 'a', 'period', 'proportional', 'to', 'the', 'average', 'path', 'length', 'and', 'independent', 'of', 'the', 'paths', 'difference', 'together', 'with', 'a', 'phase', 'rigidity']] | [-0.19404500677649464, 0.1718375709567876, -0.17035860561632685, 0.06275395277688013, -0.07277736124649112, -0.13737811532004604, 0.07198639439219343, 0.36947412307241134, -0.2809762945797827, -0.2942357938204493, 0.016026503347425853, -0.28546316620361595, -0.20936942459416708, 0.1629761904386604, -0.0589035881084523, -0.004674089400214143, 0.06569745125182505, 0.020868491920243416, -0.06582877276232466, -0.1473444213957659, 0.2730261805185624, 0.08901472439424002, 0.30050550711374463, 0.045161257451400164, 0.11597528440678226, 0.020303436711297505, 0.04136881074165493, 0.051842290493160754, -0.09056053679341858, -0.012072128869060958, 0.20111573790200055, 0.047202932637082994, 0.23468525780231825, -0.41436075887509755, -0.21879449559242597, 0.08232231103881661, 0.15278026507419, 0.13543822686187923, -0.04426237646340658, -0.29885393478242417, -0.02512393215937274, -0.1554499953519553, -0.15660695182824774, 0.03062665457172053, 0.01396663791633078, 0.007515226524057133, -0.21606748539488763, 0.08195866727619432, 0.07820326793007552, 0.036789080773347194, 0.031311406413858225, -0.05425726288730012, 0.043333341964249227, 0.10767096518143912, 0.0009245481470965647, 0.0393558829498943, 0.13766888708674482, -0.12824486783772174, -0.16558441296219825, 0.3651280528998801, -0.05897904778664399, -0.16670147565393043, 0.13172225962126893, -0.170029346942569, -0.07406138366786763, 0.13278468273513552, 0.10476663308883352, 0.05290161251489605, -0.10588927667673229, 0.03538687859503885, -0.01505980869821672, 0.2032016073885773, 0.08252212119155697, 0.11026343573882644, 0.24391254857665834, 0.1368158709407518, 0.09238596934675505, 0.15132002309879422, -0.12050109628887315, -0.10764211559934275, -0.30259340246474103, -0.11298543431663087, -0.18179683199185612, 0.06870550864186953, -0.07473272903163368, -0.18406924291671853, 0.3984675096747066, 0.12710982929399636, 0.17934648931425598, 0.01607752567256934, 0.30812753621222716, 0.16171369225817867, 0.06629306898820297, 0.01548548484487193, 0.27738012501171655, 0.15256344464058721, 0.08429728086588771, -0.30637744801684413, 0.07466310049473707, 0.009501777213465954] |
711.1294 | Spin Susceptibility of Interacting Two-dimensional Electrons with
Anisotropic Effective Mass | We report measurements of the spin susceptibility in dilute (rs up to 10)
AlAs two-dimensional (2D) electrons occupying a single conduction-band valley
with an anisotropic in-plane Fermi contour, characterized by longitudinal and
transverse effective masses, ml and mt. As the density is decreased, the spin
susceptibility is significantly enhanced over its band value, reflecting the
role of interaction. Yet the enhancement is suppressed compared to the results
of quantum Monte Carlo based calculations that take the finite thickness of the
electron layer into account but assume an isotropic effective mass equal to
sqrt(ml.mt). Proper treatment of an interacting 2D system with an anisotropic
effective mass therefore remains a theoretical challenge.
| cond-mat.mes-hall | we report measurements of the spin susceptibility in dilute rs up to 10 alas twodimensional 2d electrons occupying a single conductionband valley with an anisotropic inplane fermi contour characterized by longitudinal and transverse effective masses ml and mt as the density is decreased the spin susceptibility is significantly enhanced over its band value reflecting the role of interaction yet the enhancement is suppressed compared to the results of quantum monte carlo based calculations that take the finite thickness of the electron layer into account but assume an isotropic effective mass equal to sqrtmlmt proper treatment of an interacting 2d system with an anisotropic effective mass therefore remains a theoretical challenge | [['we', 'report', 'measurements', 'of', 'the', 'spin', 'susceptibility', 'in', 'dilute', 'rs', 'up', 'to', '10', 'alas', 'twodimensional', '2d', 'electrons', 'occupying', 'a', 'single', 'conductionband', 'valley', 'with', 'an', 'anisotropic', 'inplane', 'fermi', 'contour', 'characterized', 'by', 'longitudinal', 'and', 'transverse', 'effective', 'masses', 'ml', 'and', 'mt', 'as', 'the', 'density', 'is', 'decreased', 'the', 'spin', 'susceptibility', 'is', 'significantly', 'enhanced', 'over', 'its', 'band', 'value', 'reflecting', 'the', 'role', 'of', 'interaction', 'yet', 'the', 'enhancement', 'is', 'suppressed', 'compared', 'to', 'the', 'results', 'of', 'quantum', 'monte', 'carlo', 'based', 'calculations', 'that', 'take', 'the', 'finite', 'thickness', 'of', 'the', 'electron', 'layer', 'into', 'account', 'but', 'assume', 'an', 'isotropic', 'effective', 'mass', 'equal', 'to', 'sqrtmlmt', 'proper', 'treatment', 'of', 'an', 'interacting', '2d', 'system', 'with', 'an', 'anisotropic', 'effective', 'mass', 'therefore', 'remains', 'a', 'theoretical', 'challenge']] | [-0.12910620793443892, 0.22766904010055075, -0.0200856392316674, 0.021526084686287705, -0.02292325678324207, -0.14566801215410916, 0.0427952955066816, 0.39111043625605213, -0.23684448541201855, -0.3290015274622486, 0.002775159155001539, -0.3093621943107541, -0.06097007598386172, 0.18670030004759278, 0.04932832254370281, 0.006479791664078387, 0.011556052419126307, -0.008917493903753133, -0.1495549045908991, -0.20897298311353277, 0.2774935185336807, 0.08902362604954477, 0.31876045830522176, 0.10623055851992665, 0.08726015436642487, 0.07087653148022198, 0.04647992645740646, 0.047475720345632196, -0.12844522783796808, 0.06465138025889429, 0.199640963620126, -0.11347418289990463, 0.21406143204813158, -0.4240393919075643, -0.20306621437225866, 0.005731889033912245, 0.1887407264407348, 0.12513325347590748, -0.06804536218934376, -0.23521414564905363, 0.024785768834515175, -0.1838996005906732, -0.16945610251790338, -0.04931823573493903, -0.004413522151939639, -0.0695927781351936, -0.2726150042710638, 0.1506359539544231, 0.04691592245918075, 0.06214116779608607, -0.09341079852257539, -0.14765582796199025, -0.07010286391088995, 0.08739519541134733, 0.0726549802849992, 0.09978029958972144, 0.1770064259319643, -0.15372216051717827, -0.09277868448594294, 0.361818438088265, -0.07563982289412631, -0.16993196744369257, 0.1468213180426098, -0.15017880070014694, -0.032650595599221524, 0.1997037495896562, 0.15741534067164048, 0.08537209650006043, -0.1473920834977009, 0.0789324402106379, -0.01623287782982983, 0.19625445247260392, -0.03457116444142313, 0.04431411071996623, 0.26998032479111206, 0.21665212719534618, 0.01901750811674726, 0.10580152374213783, -0.15810182246746957, -0.07858313996464424, -0.18588187313454926, -0.16197938208442625, -0.23181912415114087, 0.09102595974733933, -0.09672412136970131, -0.1936222393313474, 0.380736296321479, 0.14464001196022455, 0.19098340629369293, 0.0024281296806427043, 0.2769393356294807, 0.14884887086526585, 0.09638678266692462, 0.07270568933491724, 0.2700473018110209, 0.16532375740630706, 0.05930787042411335, -0.28644627638144093, 0.024899344793050934, -0.00669828974727302] |
711.1295 | On the performance of Golden space-time trellis coded modulation over
MIMO block fading channels | The Golden space-time trellis coded modulation (GST-TCM) scheme was proposed
in \cite{Hong06} for a high rate $2\times 2$ multiple-input multiple-output
(MIMO) system over slow fading channels. In this letter, we present the
performance analysis of GST-TCM over block fading channels, where the channel
matrix is constant over a fraction of the codeword length and varies from one
fraction to another, independently. In practice, it is not useful to design
such codes for specific block fading channel parameters and a robust solution
is preferable. We then show both analytically and by simulation that the
GST-TCM designed for slow fading channels are indeed robust to all block fading
channel conditions.
| cs.IT math.IT | the golden spacetime trellis coded modulation gsttcm scheme was proposed in citehong06 for a high rate 2times 2 multipleinput multipleoutput mimo system over slow fading channels in this letter we present the performance analysis of gsttcm over block fading channels where the channel matrix is constant over a fraction of the codeword length and varies from one fraction to another independently in practice it is not useful to design such codes for specific block fading channel parameters and a robust solution is preferable we then show both analytically and by simulation that the gsttcm designed for slow fading channels are indeed robust to all block fading channel conditions | [['the', 'golden', 'spacetime', 'trellis', 'coded', 'modulation', 'gsttcm', 'scheme', 'was', 'proposed', 'in', 'citehong06', 'for', 'a', 'high', 'rate', '2times', '2', 'multipleinput', 'multipleoutput', 'mimo', 'system', 'over', 'slow', 'fading', 'channels', 'in', 'this', 'letter', 'we', 'present', 'the', 'performance', 'analysis', 'of', 'gsttcm', 'over', 'block', 'fading', 'channels', 'where', 'the', 'channel', 'matrix', 'is', 'constant', 'over', 'a', 'fraction', 'of', 'the', 'codeword', 'length', 'and', 'varies', 'from', 'one', 'fraction', 'to', 'another', 'independently', 'in', 'practice', 'it', 'is', 'not', 'useful', 'to', 'design', 'such', 'codes', 'for', 'specific', 'block', 'fading', 'channel', 'parameters', 'and', 'a', 'robust', 'solution', 'is', 'preferable', 'we', 'then', 'show', 'both', 'analytically', 'and', 'by', 'simulation', 'that', 'the', 'gsttcm', 'designed', 'for', 'slow', 'fading', 'channels', 'are', 'indeed', 'robust', 'to', 'all', 'block', 'fading', 'channel', 'conditions']] | [-0.2662621390566265, 0.0889941046044892, -0.02480856225190458, 0.01262676948463875, -0.009078542854219118, -0.2812187285771785, 0.07690076863123366, 0.41610728671652414, -0.2901653772585581, -0.18353507236064037, 0.15611923053952056, -0.18373289205912918, -0.20190801207524525, 0.18259614485829512, -0.1093001814219648, 0.08826771954283397, 0.059740600781080046, 0.002485124278970272, -0.0805864846747299, -0.30356008011116603, 0.26049047881719944, 0.15414489716047716, 0.31151630296850596, -0.036557189436960166, 0.09060317301844185, 0.05343297347382895, -0.02665354443331049, -0.09068640102153626, -0.11524511158509043, -0.03641304295405606, 0.30833438049705925, 0.17627501032080187, 0.19523946757245564, -0.33146813359529337, -0.2825316111513666, 0.07301628477784379, 0.22164818987024026, 0.10205812026337485, -0.03298326253577649, -0.22286519411707592, 0.16959095090000986, -0.2649189928964337, 0.006476326606227694, 0.05320387813001523, -0.0024184530914247594, -0.019501609233791167, -0.38872895480751574, 0.06614077240924969, 0.0049689354796058315, -0.002882957197377615, -0.01793188668535065, -0.14215549327776916, 0.08656213709336018, 0.11465218269361932, 0.04210556164572519, -0.011912676597135925, 0.08264564847242888, -0.056081920311673084, -0.03144089623885316, 0.3165150748165411, -0.06492266651443163, -0.26720762677560345, 0.1371145479954457, -0.1166107290180696, -0.05063659211220307, 0.226526838453121, 0.264636849235987, 0.0668509618648998, -0.19098221746090555, 0.0204339206646301, -0.046047977798522634, 0.2129230820269228, 0.04263952471289749, 0.13368131342413617, 0.14748472041041355, 0.1584942366081403, 0.07593283773384657, 0.13827550658416526, -0.1544505558128982, -0.13057055867007264, -0.24324638302498888, -0.1529161130735285, -0.19432597927353126, 0.017821515961599137, -0.1225423077291376, -0.08097298935960943, 0.36214674258001217, 0.11495431314810575, 0.1252133833575193, 0.11730519478496547, 0.3353281692018576, 0.07194521877627437, 0.07213922696858296, 0.1728546815123583, 0.1780941739295409, 0.1955772944884897, 0.08157436862026524, -0.18959913081837662, 0.07929718036805149, -0.04451459793321719] |
711.1296 | Simple model for transport phenomena : Microscopic construction of
Maxwell Demon like engine | We present a microscopic Hamiltonian framework to develop Maxwell demon like
engine. Our model consists of a equilibrium thermal bath and a non-equilibrium
bath; latter generated by driving with an external stationary, Gaussian noise.
The engine we develop, can be considered as a device to extract work by
modifying internal fluctuations. Our theoretical analysis focusses on finding
the essential ingredients necessary for generating fluctuation induced
transport under non-equilibrium condition. An important outcome of our model is
that the net motion occurs when the non-linear bath is modulated by the
external noise, creating the non-zero effective temperature even when the
temperature of both the baths are same.
| cond-mat.stat-mech cond-mat.soft | we present a microscopic hamiltonian framework to develop maxwell demon like engine our model consists of a equilibrium thermal bath and a nonequilibrium bath latter generated by driving with an external stationary gaussian noise the engine we develop can be considered as a device to extract work by modifying internal fluctuations our theoretical analysis focusses on finding the essential ingredients necessary for generating fluctuation induced transport under nonequilibrium condition an important outcome of our model is that the net motion occurs when the nonlinear bath is modulated by the external noise creating the nonzero effective temperature even when the temperature of both the baths are same | [['we', 'present', 'a', 'microscopic', 'hamiltonian', 'framework', 'to', 'develop', 'maxwell', 'demon', 'like', 'engine', 'our', 'model', 'consists', 'of', 'a', 'equilibrium', 'thermal', 'bath', 'and', 'a', 'nonequilibrium', 'bath', 'latter', 'generated', 'by', 'driving', 'with', 'an', 'external', 'stationary', 'gaussian', 'noise', 'the', 'engine', 'we', 'develop', 'can', 'be', 'considered', 'as', 'a', 'device', 'to', 'extract', 'work', 'by', 'modifying', 'internal', 'fluctuations', 'our', 'theoretical', 'analysis', 'focusses', 'on', 'finding', 'the', 'essential', 'ingredients', 'necessary', 'for', 'generating', 'fluctuation', 'induced', 'transport', 'under', 'nonequilibrium', 'condition', 'an', 'important', 'outcome', 'of', 'our', 'model', 'is', 'that', 'the', 'net', 'motion', 'occurs', 'when', 'the', 'nonlinear', 'bath', 'is', 'modulated', 'by', 'the', 'external', 'noise', 'creating', 'the', 'nonzero', 'effective', 'temperature', 'even', 'when', 'the', 'temperature', 'of', 'both', 'the', 'baths', 'are', 'same']] | [-0.13450517931092038, 0.203179437599314, -0.11411908454314437, 0.04660532365658514, -0.042730802591046634, -0.16779629968739343, 0.025419138499342325, 0.3276154357447939, -0.24604432620020267, -0.2947030166199185, 0.04767808368657979, -0.2573446517037052, -0.12022348248645803, 0.20024175901088934, -0.010114489228657956, 0.02665145720689083, 0.035646287948420306, 0.028115078596011648, 0.015427199285697052, -0.17110812546408577, 0.31114076893284637, 0.10865611857998203, 0.2997256005270723, 0.03736918059096426, 0.12409418411904348, 0.029712781014650146, 0.01715622157108847, 0.030850159549066482, -0.08633043952013052, 0.05267368266271111, 0.20340394544995055, 0.012948331414317747, 0.28020504145127423, -0.467104065811859, -0.2728709434257943, 0.08995327508990776, 0.0821472319668897, 0.1629816263140935, -0.06345913571169388, -0.25658018114308845, 0.0191735283621007, -0.15374780013138112, -0.13476822160641258, -0.1451947784736612, -0.0012550117175604374, 0.005028991801839955, -0.29641332442186913, 0.09787500901274022, 0.15696210624158102, 0.03989643890867537, -0.07288726511024782, -0.0706268673881291, -0.01791532502184569, 0.14134812158947582, 0.004767419289323097, 0.012039836307214398, 0.25792666141576365, -0.13428670118721026, -0.06091020972125302, 0.35074450414768366, -0.12355052150856212, -0.20654421388435196, 0.1710720941740668, -0.08237117116080316, -0.07883081053172783, 0.09095726064889569, 0.11518357943673178, 0.09833381641744021, -0.2478331172509879, 0.05163367284090645, 0.0010306631909015606, 0.17068571351986941, -0.00499942160281792, 0.00012716286341255567, 0.25076098600402474, 0.18810249874939405, 0.04672666068874159, 0.23761481371651105, -0.046275498343297757, -0.14503596233696026, -0.3389614006275979, -0.0970648638948025, -0.2105682896195366, 0.11074698236792893, -0.08460691122254159, -0.1563887788039931, 0.38976941986079766, 0.2256311185368038, 0.13537016815071012, -0.0032460621584487976, 0.3358025041250688, 0.1784234591430264, 0.0008003113106033712, 0.09785078469452993, 0.20739242061094013, 0.1383718892620033, 0.10369193006552896, -0.3054416713937414, 0.06954588507354822, 0.02901727805476425] |
711.1297 | A further look at particle annihilation in dark matter caustics | Dark matter caustics are small scale, high density structures believed to
exist in galaxies like ours. If the dark matter consists of Weakly Interacting
Massive Particles, these caustics may be detected by means of the gamma rays
produced by dark matter particle annihilation. We discuss particle annihilation
in outer and inner caustics and provide sky maps of the expected gamma ray
distribution.
| astro-ph hep-ph | dark matter caustics are small scale high density structures believed to exist in galaxies like ours if the dark matter consists of weakly interacting massive particles these caustics may be detected by means of the gamma rays produced by dark matter particle annihilation we discuss particle annihilation in outer and inner caustics and provide sky maps of the expected gamma ray distribution | [['dark', 'matter', 'caustics', 'are', 'small', 'scale', 'high', 'density', 'structures', 'believed', 'to', 'exist', 'in', 'galaxies', 'like', 'ours', 'if', 'the', 'dark', 'matter', 'consists', 'of', 'weakly', 'interacting', 'massive', 'particles', 'these', 'caustics', 'may', 'be', 'detected', 'by', 'means', 'of', 'the', 'gamma', 'rays', 'produced', 'by', 'dark', 'matter', 'particle', 'annihilation', 'we', 'discuss', 'particle', 'annihilation', 'in', 'outer', 'and', 'inner', 'caustics', 'and', 'provide', 'sky', 'maps', 'of', 'the', 'expected', 'gamma', 'ray', 'distribution']] | [-0.15210086007221346, 0.26874721267320695, -0.1442383161535667, 0.21239174089785065, -0.09051229203900983, -0.034758154389208124, -0.10519542778661896, 0.3354893808643664, -0.2238726057337537, -0.3831917029775439, -0.04262183353890695, -0.3108058415443426, -0.02633735772612835, 0.17455240530187205, 0.06477073456851705, 0.007810370591018469, 0.020131808855841236, 0.00034905571702702513, 0.013833298775998334, -0.24864146724388364, 0.3375809860430778, 0.09575375014044825, 0.14591905021018559, -0.017218654810060418, 0.060815798569350474, -0.016534754578324574, -0.12171035909634684, -0.06282739371301667, -0.16204038591334416, 0.0405316315441122, 0.21934933952176042, 0.09872777363465678, 0.09696117942897423, -0.4524641232865472, -0.2482796591075678, 0.2207645524683739, 0.25733052908758364, -0.006266735103582183, -0.16672584608445065, -0.3506437166098265, 0.06027533150758715, -0.1656632799384815, -0.1696938620054073, 0.023284296400003856, -0.010172482249477217, 0.0768663908895706, -0.15442481396659727, 0.16143326590498608, 0.007043500540725466, -0.10188352388720359, -0.012300297897684598, -0.0682722477302436, -0.013489147941131265, -0.03345664522250093, 0.0570718887292089, -0.02805977268895555, 0.32652955124485156, -0.23374433937152067, -0.038679964442346844, 0.46585298954479154, -0.10606240041013207, -0.10025707953384207, 0.23109558813514247, -0.22667311979532842, -0.14383151528665855, 0.2534118092228328, 0.1515289344975064, 0.06616024022936941, -0.11735642013410406, 0.14768409207575925, -0.017585282448694232, 0.1274057294151956, 0.13112312449412722, 0.049437555431899045, 0.41899841368919416, 0.09713733846682214, 0.11292384466486832, 0.04078838879415285, -0.17967777194515352, -0.020631935905605074, -0.31601286662982836, -0.14812472388674056, -0.17486143612392968, 0.007892457556144724, -0.07696775693001391, -0.12978409398947993, 0.28390267186407603, 0.026054487843441988, 0.21156055768651347, -0.01740999768803557, 0.27940545579598797, 0.060289626610615564, 0.01602520262296762, 0.13837011282392328, 0.3259389995026492, 0.1323494837514215, 0.023190966919965802, -0.1476531884878979, -0.033254840441288486, -0.01456596476641754] |
711.1298 | Gauge/Gravity Theory with Running Dilaton and Running Axion | We present a new gauge/gravity duality construction of the Klebanov-Strassler
throat which takes corrections to the anomalous mass dimension proposed in [1]
into account on the gauge theory side and both the dilaton and the axion run on
the gravity side. The corresponding supergravity solutions are found using
equations for type IIB flows with N=1 supersymmetry obtained in [2]. We find
that magnetic couplings of the axion to D7-branes filling 4-d spacetime and
wrapping 4-cycles at locations of duality transitions and invisible Dirac
8-branes whose worldvolume emanates from the worldvolume of the D7-branes are
the sources for the runnings of the dilaton and the axion. Our construction
provides the first explicit example of a gauge/gravity duality mapping with a
running dilaton or a running axion which is an important component towards
finding gravity duals to gauge theories with physically more interesting
renormalization group flows such as pure confining gauge theories in four
dimensions. The D7-branes also serve as gravitational source for Seiberg
duality transitions. The supergravity background has distinct features which
could be useful for constructing cosmological models and studying possibilities
for probing stringy signatures from the early universe.
| hep-th | we present a new gaugegravity duality construction of the klebanovstrassler throat which takes corrections to the anomalous mass dimension proposed in 1 into account on the gauge theory side and both the dilaton and the axion run on the gravity side the corresponding supergravity solutions are found using equations for type iib flows with n1 supersymmetry obtained in 2 we find that magnetic couplings of the axion to d7branes filling 4d spacetime and wrapping 4cycles at locations of duality transitions and invisible dirac 8branes whose worldvolume emanates from the worldvolume of the d7branes are the sources for the runnings of the dilaton and the axion our construction provides the first explicit example of a gaugegravity duality mapping with a running dilaton or a running axion which is an important component towards finding gravity duals to gauge theories with physically more interesting renormalization group flows such as pure confining gauge theories in four dimensions the d7branes also serve as gravitational source for seiberg duality transitions the supergravity background has distinct features which could be useful for constructing cosmological models and studying possibilities for probing stringy signatures from the early universe | [['we', 'present', 'a', 'new', 'gaugegravity', 'duality', 'construction', 'of', 'the', 'klebanovstrassler', 'throat', 'which', 'takes', 'corrections', 'to', 'the', 'anomalous', 'mass', 'dimension', 'proposed', 'in', '1', 'into', 'account', 'on', 'the', 'gauge', 'theory', 'side', 'and', 'both', 'the', 'dilaton', 'and', 'the', 'axion', 'run', 'on', 'the', 'gravity', 'side', 'the', 'corresponding', 'supergravity', 'solutions', 'are', 'found', 'using', 'equations', 'for', 'type', 'iib', 'flows', 'with', 'n1', 'supersymmetry', 'obtained', 'in', '2', 'we', 'find', 'that', 'magnetic', 'couplings', 'of', 'the', 'axion', 'to', 'd7branes', 'filling', '4d', 'spacetime', 'and', 'wrapping', '4cycles', 'at', 'locations', 'of', 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711.1299 | On marginally outer trapped surfaces in stationary and static spacetimes | In this paper we prove that for any spacelike hypersurface containing an
untrapped barrier in a stationary spacetime satisfying the null energy
condition, any marginally outer trapped surface cannot lie in the exterior
region where the stationary Killing vector is timelike. In the static case we
prove that any marginally outer trapped surface cannot penetrate into the
exterior region where the static Killing vector is timelike. In fact, we prove
these result at an initial data level, without even assuming existence of a
spacetime. The proof relies on a powerful theorem by Andersson and Metzger on
existence of an outermost marginally outer trapped surface.
| gr-qc | in this paper we prove that for any spacelike hypersurface containing an untrapped barrier in a stationary spacetime satisfying the null energy condition any marginally outer trapped surface cannot lie in the exterior region where the stationary killing vector is timelike in the static case we prove that any marginally outer trapped surface cannot penetrate into the exterior region where the static killing vector is timelike in fact we prove these result at an initial data level without even assuming existence of a spacetime the proof relies on a powerful theorem by andersson and metzger on existence of an outermost marginally outer trapped surface | [['in', 'this', 'paper', 'we', 'prove', 'that', 'for', 'any', 'spacelike', 'hypersurface', 'containing', 'an', 'untrapped', 'barrier', 'in', 'a', 'stationary', 'spacetime', 'satisfying', 'the', 'null', 'energy', 'condition', 'any', 'marginally', 'outer', 'trapped', 'surface', 'can', 'not', 'lie', 'in', 'the', 'exterior', 'region', 'where', 'the', 'stationary', 'killing', 'vector', 'is', 'timelike', 'in', 'the', 'static', 'case', 'we', 'prove', 'that', 'any', 'marginally', 'outer', 'trapped', 'surface', 'can', 'not', 'penetrate', 'into', 'the', 'exterior', 'region', 'where', 'the', 'static', 'killing', 'vector', 'is', 'timelike', 'in', 'fact', 'we', 'prove', 'these', 'result', 'at', 'an', 'initial', 'data', 'level', 'without', 'even', 'assuming', 'existence', 'of', 'a', 'spacetime', 'the', 'proof', 'relies', 'on', 'a', 'powerful', 'theorem', 'by', 'andersson', 'and', 'metzger', 'on', 'existence', 'of', 'an', 'outermost', 'marginally', 'outer', 'trapped', 'surface']] | [-0.17992464083088738, 0.14035828255997193, -0.06872716662034674, 0.03542237861174211, -0.07828014740448024, -0.1452012386761676, -0.017189717033377162, 0.31557874650395706, -0.20315163251328863, -0.20943333029325278, 0.08267507206413562, -0.23337620146186003, -0.06782325749057082, 0.1743252354076589, -0.08765840832581129, -0.010063544135400147, 0.06213838541177365, 0.12187640044732757, -0.06845361132060511, -0.21936981510239179, 0.4118416686805914, 0.005363587808426259, 0.23177715377741545, 0.0985364608712635, 0.08702337266635676, 0.03332367834397855, 0.08132807234135228, 0.002203762508217105, -0.1576035075272128, 0.07712172545864135, 0.2070903869011914, 0.10706644536233244, 0.22961249245541557, -0.478468832050292, -0.21851270207432363, 0.16820624330573064, 0.21337855485144933, 0.10358526714954455, -0.048980355289114534, -0.3130738448224224, 0.10275641834925649, -0.07125575204142633, -0.26341716021316935, -0.016091097515287263, 0.004616378648382313, -0.07629335221157954, -0.23906113738896992, 0.09382647224965524, 0.17422209146327144, 0.06675899831384842, -0.19167067235300564, -0.0051063846671549635, -0.10489079128195233, 0.018574902932774626, 0.014258042184354842, 0.046141643755034684, 0.11945275828365307, -0.0653525693633128, -0.04054480950998248, 0.26412384994855187, -0.08489671024441156, -0.30586494552850163, 0.14312407811049302, -0.22158638455131846, -0.08212446490794702, 0.15289358611939088, 0.1430283842678621, 0.17882045920727388, -0.13419980409045545, 0.18280292992021027, -0.09732784553132248, 0.12851146343252007, 0.18301521004441212, -0.025018121820395672, 0.2657597353506201, 0.06660047451578924, 0.14433625039539105, 0.13121419968434944, -0.1171356655156486, -0.08961085937829372, -0.420833985782492, -0.1887960884728873, -0.1385320980993609, 0.08187199672184366, -0.1269285989010142, -0.19992231904476318, 0.27604226372863677, 0.02242204669988187, 0.18584435802163943, 0.030738875788267492, 0.27819080854643063, 0.0660678830155927, 0.04159121212707657, 0.2386650697697165, 0.28757601060447685, 0.0985393985284422, 0.03312436630949378, -0.1498638302404082, 0.023073329590260983, 0.09878100590112637] |
711.13 | An Alternative View of the Universe Structure (on the invalidity of the
four dimensional space-time concept) | The model of the Universe in this paper uses equations of the unperturbed
Keplerian motion. They have been updated, complementied and generalized when
the solution of these equations is the characteristic function of a random
value from the theory of probabilities. Argument of the differential equation
in this case is any more time, an interval of time between sections of a random
stationary prosess. In this paper this time interval is referred to as flexible
(elastic) time due to its many non-trivial properties. It is proved flexible
time does not depend on the space which makes invalid the four dimensional
space-time concept. The Universe becomes stationary and Eucledian. It is
proved: 1. the advavce of Mercury's perihelion versus the predictions in
accordance with the universal gravity law results inequality of the
coefficients in the correlation equations of Keplerian moution along axes x, y
and z; 2. the velocity of propagation of harmonic oscillation in the Uneverse
is not constant; 3. long-range interaction, i.e. instantaneous communication
between any two points of space in tne Universe is possible; 4. the Universe is
a closed-loop informatiom-energy system which revives the nature and acts as a
barrier to the second law of thermodynamics where stars are treated as machines
which accumulate energy by moving. Physics in the Universe is conceptually
different from that of the Earth and, respectively, needs methods of
investigation different from the ones which are used today. Numerous
astronomical supervision and the researches lead by known astrophysicist
N.A.Kozyrev personally or under his management confirm adequacy of the model in
the present paper.
| physics.gen-ph | the model of the universe in this paper uses equations of the unperturbed keplerian motion they have been updated complementied and generalized when the solution of these equations is the characteristic function of a random value from the theory of probabilities argument of the differential equation in this case is any more time an interval of time between sections of a random stationary prosess in this paper this time interval is referred to as flexible elastic time due to its many nontrivial properties it is proved flexible time does not depend on the space which makes invalid the four dimensional spacetime concept the universe becomes stationary and eucledian it is proved 1 the advavce of mercurys perihelion versus the predictions in accordance with the universal gravity law results inequality of the coefficients in the correlation equations of keplerian moution along axes x y and z 2 the velocity of propagation of harmonic oscillation in the uneverse is not constant 3 longrange interaction ie instantaneous communication between any two points of space in tne universe is possible 4 the universe is a closedloop informatiomenergy system which revives the nature and acts as a barrier to the second law of thermodynamics where stars are treated as machines which accumulate energy by moving physics in the universe is conceptually different from that of the earth and respectively needs methods of investigation different from the ones which are used today numerous astronomical supervision and the researches lead by known astrophysicist nakozyrev personally or under his management confirm adequacy of the model in the present paper | [['the', 'model', 'of', 'the', 'universe', 'in', 'this', 'paper', 'uses', 'equations', 'of', 'the', 'unperturbed', 'keplerian', 'motion', 'they', 'have', 'been', 'updated', 'complementied', 'and', 'generalized', 'when', 'the', 'solution', 'of', 'these', 'equations', 'is', 'the', 'characteristic', 'function', 'of', 'a', 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711.1301 | Spin Frustration and Magnetic Exchange in Cobalt Aluminum Oxide Spinels | We report on x-ray diffraction, magnetic susceptibility, electron- spin
resonance and heat- capacity studies of Co[Al_1-xCo_x]_2O_4 for Co
concentrations 0<x<1. In this spinel system only the A-site Co^2+ cation is
magnetic, while the non-magnetic B-site Al^3+ is substituted by the low-spin
non-magnetic Co^3+, and it is possible to investigate the complete phase
diagram from Co^2+Al^3+_2O_4 to Co^2+Co^3+_2O_4. All samples reveal large
negative Curie-Weiss temperatures Theta_CW of the order of -110 K independent
of concentration, which is attributed to a high multiplicity of the
superexchange interactions between the A-site Co^2+ cations. A pure
antiferromagnetic state is found for x = 1.0 and 0.9 with Neel temperatures T_N
= 29.5 K and 21.2 K, respectively, as evidenced by lambda-like anomalies in the
specific heat. Compositions with 0.3<x<0.75 show smeared out strongly reduced
magnetic ordering temperatures. At low temperatures, a T^2.5 dependence of the
specific heat is indicative of a spin-liquid state. For x < 0.2 a T^2
dependence of the specific heat and a spin-glass like behavior of the
susceptibility below T_f = 4.7 K are observed. The high value of the
frustration parameter f = |Theta_CW|/T_f > 10 indicates the presence of strong
spin frustration at least for x < 0.6. The frustration mechanism is attributed
to competing nearest neighbor and next-nearest neighbor superexchange
interactions between the A-site Co^2+ ions.
| cond-mat.mtrl-sci cond-mat.other | we report on xray diffraction magnetic susceptibility electron spin resonance and heat capacity studies of coal_1xco_x_2o_4 for co concentrations 0x1 in this spinel system only the asite co2 cation is magnetic while the nonmagnetic bsite al3 is substituted by the lowspin nonmagnetic co3 and it is possible to investigate the complete phase diagram from co2al3_2o_4 to co2co3_2o_4 all samples reveal large negative curieweiss temperatures theta_cw of the order of 110 k independent of concentration which is attributed to a high multiplicity of the superexchange interactions between the asite co2 cations a pure antiferromagnetic state is found for x 10 and 09 with neel temperatures t_n 295 k and 212 k respectively as evidenced by lambdalike anomalies in the specific heat compositions with 03x075 show smeared out strongly reduced magnetic ordering temperatures at low temperatures a t25 dependence of the specific heat is indicative of a spinliquid state for x 02 a t2 dependence of the specific heat and a spinglass like behavior of the susceptibility below t_f 47 k are observed the high value of the frustration parameter f theta_cwt_f 10 indicates the presence of strong spin frustration at least for x 06 the frustration mechanism is attributed to competing nearest neighbor and nextnearest neighbor superexchange interactions between the asite co2 ions | [['we', 'report', 'on', 'xray', 'diffraction', 'magnetic', 'susceptibility', 'electron', 'spin', 'resonance', 'and', 'heat', 'capacity', 'studies', 'of', 'coal_1xco_x_2o_4', 'for', 'co', 'concentrations', '0x1', 'in', 'this', 'spinel', 'system', 'only', 'the', 'asite', 'co2', 'cation', 'is', 'magnetic', 'while', 'the', 'nonmagnetic', 'bsite', 'al3', 'is', 'substituted', 'by', 'the', 'lowspin', 'nonmagnetic', 'co3', 'and', 'it', 'is', 'possible', 'to', 'investigate', 'the', 'complete', 'phase', 'diagram', 'from', 'co2al3_2o_4', 'to', 'co2co3_2o_4', 'all', 'samples', 'reveal', 'large', 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'observed', 'the', 'high', 'value', 'of', 'the', 'frustration', 'parameter', 'f', 'theta_cwt_f', '10', 'indicates', 'the', 'presence', 'of', 'strong', 'spin', 'frustration', 'at', 'least', 'for', 'x', '06', 'the', 'frustration', 'mechanism', 'is', 'attributed', 'to', 'competing', 'nearest', 'neighbor', 'and', 'nextnearest', 'neighbor', 'superexchange', 'interactions', 'between', 'the', 'asite', 'co2', 'ions']] | [-0.17545598285729425, 0.27207618735981387, 0.06721984213296449, 0.04039110345743561, -0.023812643835509125, -0.16199183546212645, 0.13949384277489466, 0.3838627440854907, -0.2562043510305767, -0.331434037661753, 0.016518142531052805, -0.40710757846514195, -0.01622735987565158, 0.09151936345509827, 0.10857324642487444, -0.08021525280603853, -0.07561042936868034, 0.02748744935720774, -0.12084903585967438, -0.22641051456044947, 0.22617211643284044, 0.0403449183750826, 0.25771468258104646, 0.1218044903921859, 0.058624260802529395, -0.02584457766687802, 0.175837852582425, 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711.1302 | Local probabilities for random walks conditioned to stay positive | Let S_0=0,{S_n, n>0} be a random walk generated by a sequence of i.i.d.
random variables X_1,X_2,... and let \tau^{-} be the first descending ladder
epoch. Assuming that the distribution of X_1 belongs to the domain of
attraction of an \alpha-stable law we study the asymptotic behavior of the
local probabilities P(\tau ^{-}=n) and the conditional local probabilities
P(S_n\in [x,x+y)|\tau^{-}>n) for fixed y and x=x(n)\in (0,\infty).
| math.PR | let s_00s_n n0 be a random walk generated by a sequence of iid random variables x_1x_2 and let tau be the first descending ladder epoch assuming that the distribution of x_1 belongs to the domain of attraction of an alphastable law we study the asymptotic behavior of the local probabilities ptau n and the conditional local probabilities ps_nin xxytaun for fixed y and xxnin 0infty | [['let', 's_00s_n', 'n0', 'be', 'a', 'random', 'walk', 'generated', 'by', 'a', 'sequence', 'of', 'iid', 'random', 'variables', 'x_1x_2', 'and', 'let', 'tau', 'be', 'the', 'first', 'descending', 'ladder', 'epoch', 'assuming', 'that', 'the', 'distribution', 'of', 'x_1', 'belongs', 'to', 'the', 'domain', 'of', 'attraction', 'of', 'an', 'alphastable', 'law', 'we', 'study', 'the', 'asymptotic', 'behavior', 'of', 'the', 'local', 'probabilities', 'ptau', 'n', 'and', 'the', 'conditional', 'local', 'probabilities', 'ps_nin', 'xxytaun', 'for', 'fixed', 'y', 'and', 'xxnin', '0infty']] | [-0.14503719559946998, 0.21739428686803458, -0.12049609370010554, 0.0014212744646385069, -0.01527442258294122, -0.14340160872604027, 0.08147107574852092, 0.35310944537708505, -0.3129233677917328, -0.14703462706863513, 0.05862483323444841, -0.3023255013662284, -0.05829111429992453, 0.08255011338328362, -0.04569141511790088, 0.022355594712340075, -0.03449225119605172, 0.08340046031125745, -0.02004577395445133, -0.23965111273707304, 0.28849340847036875, -0.05856478977643075, 0.20870127125841673, -0.10574433547979006, 0.10642963337910469, 0.05103250810510067, -0.008117796807381951, -0.028147471587738542, -0.161937882166311, 0.04201635245813942, 0.16316972050021905, 0.08879032094397994, 0.31921936635721904, -0.372334718215661, -0.15228190686798, 0.28041924849213634, 0.20067227408900612, -0.04915742811243065, 0.009826600618400901, -0.3486120251053181, 0.1510705261750788, -0.13102423855233328, -0.17360582950021156, 0.02488137677037081, 0.10218254739388091, 0.12001879527386217, -0.4327983225039283, 0.0667675334967856, 0.14375542482116915, 0.04866978362752277, -0.006811514138015079, -0.1497125548814408, -0.054160897024586555, 0.13046386721925657, 0.06318071866255315, 0.08341600918058367, 0.08876193336928721, -0.05938596525763879, -0.1279679517887655, 0.31596899937960454, -0.11482999720763354, -0.21466286439967694, 0.05682785777455257, -0.24849919152930838, -0.1440948932507976, 0.09421033227480337, 0.12701778753553747, 0.1524583385198341, -0.14264592662697934, 0.19060757798696182, -0.04449929997752436, 0.11124627771558332, 0.05684007253100882, -0.002478072183115072, 0.202523866981329, 0.07367904789623667, 0.08247926892315754, 0.15510439528839387, -0.07616580790672146, -0.0880414356905051, -0.37203359884805365, -0.1166886448799098, -0.2857467029854411, 0.1737809615423445, -0.22539549522396735, -0.1945411958655373, 0.3326701264767373, 0.10303374633315157, 0.2718153796998448, 0.16905622533904235, 0.1510869622101471, 0.16402242644155612, -0.10789961144938821, 0.0568136186415299, -0.013062686460917114, 0.1706356110058908, 0.007212782553473457, -0.16127330476998306, 0.1485780094994507, 0.1192318592067869] |
711.1303 | Substrate limited electron dynamics in graphene | We study the effects of polarizable substrates such as SiO2 and SiC on the
carrier dynamics in graphene. We find that the quasiparticle spectrum acquires
a finite broadening due to the long-range interaction with the polar modes at
the interface between graphene and the substrate. This mechanism results in a
density dependent electrical resistivity, that exhibits a sharp increase around
room temperature, where it can become the dominant limiting factor of electron
transport. The effects are weaker in doped bilayer graphene, due to the more
conventional parabolic band dispersion.
| cond-mat.mes-hall cond-mat.mtrl-sci | we study the effects of polarizable substrates such as sio2 and sic on the carrier dynamics in graphene we find that the quasiparticle spectrum acquires a finite broadening due to the longrange interaction with the polar modes at the interface between graphene and the substrate this mechanism results in a density dependent electrical resistivity that exhibits a sharp increase around room temperature where it can become the dominant limiting factor of electron transport the effects are weaker in doped bilayer graphene due to the more conventional parabolic band dispersion | [['we', 'study', 'the', 'effects', 'of', 'polarizable', 'substrates', 'such', 'as', 'sio2', 'and', 'sic', 'on', 'the', 'carrier', 'dynamics', 'in', 'graphene', 'we', 'find', 'that', 'the', 'quasiparticle', 'spectrum', 'acquires', 'a', 'finite', 'broadening', 'due', 'to', 'the', 'longrange', 'interaction', 'with', 'the', 'polar', 'modes', 'at', 'the', 'interface', 'between', 'graphene', 'and', 'the', 'substrate', 'this', 'mechanism', 'results', 'in', 'a', 'density', 'dependent', 'electrical', 'resistivity', 'that', 'exhibits', 'a', 'sharp', 'increase', 'around', 'room', 'temperature', 'where', 'it', 'can', 'become', 'the', 'dominant', 'limiting', 'factor', 'of', 'electron', 'transport', 'the', 'effects', 'are', 'weaker', 'in', 'doped', 'bilayer', 'graphene', 'due', 'to', 'the', 'more', 'conventional', 'parabolic', 'band', 'dispersion']] | [-0.1498169068919411, 0.19876756902595752, -0.07056004172609595, -0.003143147802179198, -0.009902114158475332, -0.16613347447487745, 0.06751424683195152, 0.4162161763380752, -0.27274530273182, -0.25436178802020765, -0.025258691430751108, -0.3382276339937797, -0.16580428416432624, 0.18074175834739475, 0.02926205007066385, -0.02051803148403931, -0.03462620542562577, -0.08019213805372795, -0.09593711512456282, -0.1586920674576351, 0.28575939864045785, 0.08885137762958079, 0.3484788951620962, 0.17953245221961583, 0.0151879129031401, 0.020627981224463562, 0.11464932816249601, 0.022609161422326322, -0.1252811442378168, 0.038291071196285525, 0.23634334376377442, -0.19704428092796314, 0.22534005442278437, -0.475740750048184, -0.23981489946416926, -0.0013986374146901489, 0.11610804721608423, 0.1642961935192514, -0.08883651691895067, -0.2247874915699234, 0.05287689890377642, -0.1306745917170068, -0.09942002726582748, -0.020057548140960463, -0.006009912060762054, -0.033066957877697735, -0.2361318516555462, 0.14004335944865193, 0.06644306240833542, 0.05547860014158186, -0.08288489451652832, -0.11824016348626255, -0.11378615195967592, 0.05096675495792369, 0.07826497803410787, 0.0015526872894758086, 0.24218206186098665, -0.11864213384635579, -0.03347263917368784, 0.3939644985654381, -0.11103994947638404, -0.12362327115882314, 0.18971622683986855, -0.21081238118617723, -0.01890035578981042, 0.18260348361676162, 0.13977824212666706, 0.08023573760089747, -0.11179337463226546, 0.07589536207189176, -0.006799325199138498, 0.17685559072291082, 0.08296428566662532, 0.13048899084790033, 0.22204766953050087, 0.19707563081023732, 0.06797470776050278, 0.1365014848356878, -0.13681631053296267, -0.010890316380334369, -0.2022041618782148, -0.168616771451106, -0.19300612598511108, 0.07356930392522239, -0.09202378665278875, -0.24615624895465843, 0.4041688718016814, 0.14115606031767772, 0.17509437001864897, -0.043536385251837, 0.26666074331975387, 0.15435798210745907, 0.10769733244270673, 0.056661990919514044, 0.2576043087298448, 0.1643181589400668, 0.11551538939859844, -0.29737864876312486, 0.07537475715945946, -0.051466390007866146] |
711.1304 | Probabilistic approach to a proliferation and migration dichotomy in the
tumor cell invasion | The proliferation and migration dichotomy of the tumor cell invasion is
examined within a two-component continuous time random walk (CTRW) model. The
balance equations for the cancer cells of two phenotypes with random switching
between cell proliferation and migration are derived. The transport of tumor
cells is formulated in terms of the CTRW with an arbitrary waiting time
distribution law, while proliferation is modelled by a logistic growth. The
overall rate of tumor cell invasion for normal diffusion and subdiffusion is
determined.
| q-bio.CB q-bio.PE | the proliferation and migration dichotomy of the tumor cell invasion is examined within a twocomponent continuous time random walk ctrw model the balance equations for the cancer cells of two phenotypes with random switching between cell proliferation and migration are derived the transport of tumor cells is formulated in terms of the ctrw with an arbitrary waiting time distribution law while proliferation is modelled by a logistic growth the overall rate of tumor cell invasion for normal diffusion and subdiffusion is determined | [['the', 'proliferation', 'and', 'migration', 'dichotomy', 'of', 'the', 'tumor', 'cell', 'invasion', 'is', 'examined', 'within', 'a', 'twocomponent', 'continuous', 'time', 'random', 'walk', 'ctrw', 'model', 'the', 'balance', 'equations', 'for', 'the', 'cancer', 'cells', 'of', 'two', 'phenotypes', 'with', 'random', 'switching', 'between', 'cell', 'proliferation', 'and', 'migration', 'are', 'derived', 'the', 'transport', 'of', 'tumor', 'cells', 'is', 'formulated', 'in', 'terms', 'of', 'the', 'ctrw', 'with', 'an', 'arbitrary', 'waiting', 'time', 'distribution', 'law', 'while', 'proliferation', 'is', 'modelled', 'by', 'a', 'logistic', 'growth', 'the', 'overall', 'rate', 'of', 'tumor', 'cell', 'invasion', 'for', 'normal', 'diffusion', 'and', 'subdiffusion', 'is', 'determined']] | [-0.0995897025199289, 0.1962021735864876, 0.006034002508740963, 0.030768737029397815, 0.02299902000941518, -0.1731222923731477, 0.10282267602842028, 0.3386747735075471, -0.2751230723338156, -0.1855755602577474, 0.08026851927606025, -0.24190602458377436, -0.20391123356558838, 0.11964909475376238, -0.10626657356837446, 0.045120932400317455, 0.015489029348827899, -0.01253679258998756, 0.1458460508800316, -0.25995521112231584, 0.21675856362619414, -0.036619961282334905, 0.35875797987256836, -0.017646011051000665, 0.14185407102426015, -0.040712930784538026, -0.04020647988541097, 0.02262516420408402, -0.15093927682808986, 0.10993096957312579, 0.1931942532338747, 0.11296878091809226, 0.30599717814020994, -0.5070616530209053, -0.3126622156421768, 0.1003397033583918, 0.22432416883615278, 0.09078344668363925, -0.03703324905619389, -0.23382766640222655, 0.018848034212502036, -0.158375567177356, -0.14860848809319843, 0.03185629792420602, 0.08568735495663998, 0.10575773777928567, -0.3303180889953382, 0.21401955455643829, 0.012650696061006406, 0.07609840512003113, -0.1439716971149986, -0.04674666114832934, -0.06155672477467394, 0.1855636857075208, 0.056728977677355547, -0.018988598261607766, 0.20651292510965283, -0.13978307007062363, -0.15133446548134089, 0.3717539486384428, 0.017038712970821594, -0.24639668067592116, 0.18936862567405602, -0.2127021402631682, -0.0074114117021786005, 0.16915863892063498, 0.15256550383367917, 0.028509514936314834, -0.2605148437432945, 0.013477407893444208, 0.02722857321226379, 0.08465486436673417, 0.08868433964132082, -0.08490719573526848, 0.12344545765677695, 0.31565032889157896, 0.05273140294522774, 0.05813584855485072, -0.1040873170784879, -0.2105873961047065, -0.2455025513020412, -0.1888488887059616, -0.160256450547178, 0.07700964441613817, -0.2067118777218062, -0.23019464052759292, 0.37074828042262575, 0.002215285910429751, 0.175493909182345, 0.1573641151416956, 0.20713049943399867, 0.15020620523066056, 0.03618397506907946, -0.005744253211404856, 0.08487020196711145, 0.12504794945224848, 0.14334673613094065, -0.33885257182324807, 0.21744474703332456, 0.09777750162316895] |
711.1305 | X-rays from young stars - a summary of highlights from the XMM-Newton
Extended Survey of the Taurus Molecular Cloud (XEST) | The XMM-Newton Extended Survey of the Taurus Molecular Cloud (XEST) is a
survey of the nearest large star-forming region, the Taurus Molecular Cloud
(TMC), making use of all instruments on board the XMM-Newton X-ray observatory.
The survey, presently still growing, has provided unprecedented spectroscopic
results from nearly every observed T Tauri star, and from ~50% of the studied
brown dwarfs and protostars. The survey includes the first coherent statistical
sample of high-resolution spectra of T Tauri stars, and is accompanied by an
U-band/ultraviolet imaging photometric survey of the TMC. XEST led to the
discovery of new, systematic X-ray features not possible before with smaller
samples, in particular the X-ray soft excess in classical T Tauri stars and the
Two-Absorber X-ray (TAX) spectra of jet-driving T Tauri stars. This paper
summarizes highlights from XEST and reviews the key role of this large project.
| astro-ph | the xmmnewton extended survey of the taurus molecular cloud xest is a survey of the nearest large starforming region the taurus molecular cloud tmc making use of all instruments on board the xmmnewton xray observatory the survey presently still growing has provided unprecedented spectroscopic results from nearly every observed t tauri star and from 50 of the studied brown dwarfs and protostars the survey includes the first coherent statistical sample of highresolution spectra of t tauri stars and is accompanied by an ubandultraviolet imaging photometric survey of the tmc xest led to the discovery of new systematic xray features not possible before with smaller samples in particular the xray soft excess in classical t tauri stars and the twoabsorber xray tax spectra of jetdriving t tauri stars this paper summarizes highlights from xest and reviews the key role of this large project | [['the', 'xmmnewton', 'extended', 'survey', 'of', 'the', 'taurus', 'molecular', 'cloud', 'xest', 'is', 'a', 'survey', 'of', 'the', 'nearest', 'large', 'starforming', 'region', 'the', 'taurus', 'molecular', 'cloud', 'tmc', 'making', 'use', 'of', 'all', 'instruments', 'on', 'board', 'the', 'xmmnewton', 'xray', 'observatory', 'the', 'survey', 'presently', 'still', 'growing', 'has', 'provided', 'unprecedented', 'spectroscopic', 'results', 'from', 'nearly', 'every', 'observed', 't', 'tauri', 'star', 'and', 'from', '50', 'of', 'the', 'studied', 'brown', 'dwarfs', 'and', 'protostars', 'the', 'survey', 'includes', 'the', 'first', 'coherent', 'statistical', 'sample', 'of', 'highresolution', 'spectra', 'of', 't', 'tauri', 'stars', 'and', 'is', 'accompanied', 'by', 'an', 'ubandultraviolet', 'imaging', 'photometric', 'survey', 'of', 'the', 'tmc', 'xest', 'led', 'to', 'the', 'discovery', 'of', 'new', 'systematic', 'xray', 'features', 'not', 'possible', 'before', 'with', 'smaller', 'samples', 'in', 'particular', 'the', 'xray', 'soft', 'excess', 'in', 'classical', 't', 'tauri', 'stars', 'and', 'the', 'twoabsorber', 'xray', 'tax', 'spectra', 'of', 'jetdriving', 't', 'tauri', 'stars', 'this', 'paper', 'summarizes', 'highlights', 'from', 'xest', 'and', 'reviews', 'the', 'key', 'role', 'of', 'this', 'large', 'project']] | [-0.044170437706634404, 0.11338590149794722, -0.06113807846392904, 0.0686052824503609, -0.13222342911509, -0.025399250467307864, 0.1257532600837294, 0.3821022257156853, -0.18797656843172653, -0.35479061309514304, 0.06031479403359948, -0.3524969281628728, -0.0286074639335441, 0.20753890721659576, -0.05615303524890416, 0.012349475733935833, 0.12233782628151987, -0.10235113733714181, 0.008904944195195899, -0.2767146168941898, 0.30528505135194534, 0.09471895292933498, 0.13075567727376308, -0.06409351626144988, 0.06522305427102505, -0.08406184942328504, -0.1727568415492507, -0.05381940968467721, -0.18008944363931992, 0.04262452445733028, 0.2808033424030457, 0.1432701519291316, 0.23378520167565772, -0.3103681652826968, -0.17828013175894739, 0.029798961108151292, 0.18150526752849275, -0.0474187939427793, -0.03665345783228986, -0.27973386945335993, 0.08938525912152337, -0.17881585463681923, -0.14083926294863755, 0.026709137626624267, 0.0549439280372878, 0.06346913812282895, -0.1705860990232655, 0.06623770847633881, 0.017925595957785846, 0.19372780050284097, -0.17177631884946354, -0.13976884396480663, -1.6528229960905653e-05, 0.0991166120494849, -0.010569991846568882, 0.11642213442329584, 0.13142138431139755, -0.2041986726324207, -0.06949162680123533, 0.3704288551933132, -0.07631238414407042, 0.12960970664862542, 0.2315297248540446, -0.260429311979429, -0.24799653244803527, 0.1395871637497164, 0.09985534534789622, 0.2055675062575444, -0.22633430743589997, 0.06777057494494199, -0.04746909480142806, 0.22392456907047226, 0.01837555774421032, 0.10251210182572582, 0.30276838432598324, 0.15706552077421554, 0.011858783515968493, 0.18119441938220657, -0.3178025772445835, -0.0886384532757802, -0.23070422276588423, -0.13003595349894437, -0.14532483909362262, 0.10608931142414804, -0.06453364284191464, -0.10435756244862984, 0.30512568425786285, 0.1206146736525365, 0.17352743969032808, -0.007604284626099148, 0.32519238908176445, 0.010726920495341932, 0.15553537783479052, 0.0961072513986437, 0.2699369869153348, 0.1697477663152053, 0.19175564455134528, -0.22007120568804175, 0.06214648677102689, -0.03226356162090919] |
711.1306 | Exponential sums and rank of persymmetric matrices over F_2 | Over the finite field with two elements, we present a method for obtaining
explicit expressions for the number of rank i matrices of the form A above B,
where A is persymmetric (A matrix [a(i,j)] is persymmetric if a(i,j) = a(r,s)
for i+j = r+s).
| math.NT | over the finite field with two elements we present a method for obtaining explicit expressions for the number of rank i matrices of the form a above b where a is persymmetric a matrix aij is persymmetric if aij ars for ij rs | [['over', 'the', 'finite', 'field', 'with', 'two', 'elements', 'we', 'present', 'a', 'method', 'for', 'obtaining', 'explicit', 'expressions', 'for', 'the', 'number', 'of', 'rank', 'i', 'matrices', 'of', 'the', 'form', 'a', 'above', 'b', 'where', 'a', 'is', 'persymmetric', 'a', 'matrix', 'aij', 'is', 'persymmetric', 'if', 'aij', 'ars', 'for', 'ij', 'rs']] | [-0.1659729311156065, 0.14605325969412578, 0.016260730687442215, 0.0008813610441203034, -0.01376424654560207, -0.1953007046046645, 0.030105643429208632, 0.3594382330775261, -0.22733256116855977, -0.21334400914912655, 0.1314078369177878, -0.2627506497489332, -0.16156372185363327, 0.16749269383158102, -0.022452697872595732, -0.02927564755948477, 0.033224447516637834, 0.14769088216992313, -0.13210352538370115, -0.24878510048742905, 0.32740462363459344, -0.07290020006773777, 0.1409096859915312, -0.007661401034267836, 0.12898511132008808, 0.008556554884498203, -0.02744220439777818, 0.013854091445547204, -0.08780442397001871, 0.12636121644551845, 0.23817453784651535, 0.1882378361079582, 0.24750740634450732, -0.3343763225170415, -0.10298654887565346, 0.16688651390113804, 0.152346218827852, 0.046320170532305575, -0.08322037098019622, -0.1613778495338074, 0.20615450119556383, -0.20109723317761755, -0.07644551545909475, -0.0198316567531397, 0.1147211046488739, -0.00674488661854073, -0.47245836881704106, 0.00956941515120656, 0.044599755515539366, 0.10372717687210371, -0.03300501759229011, -0.23877914145935414, 0.08373061427846551, 0.1114145748555487, -0.012537388721221062, -0.026125464046937087, 0.010408700584585583, -0.10117320539862958, -0.02142507964095404, 0.3401457034917765, -0.04185622991170994, -0.2579401313262277, 0.07344258716329932, -0.18016710054389265, -0.10901651416666978, 0.12697220473485285, 0.1289596866902917, 0.14766348329938536, -0.0840229609288102, 0.16079838573932648, -0.14461417240632135, 0.1388317491252755, 0.026041112926810286, -0.017119658980951753, 0.1278822048199038, 0.0756435765083446, 0.08574087005974941, 0.0689022122600744, -0.09229708259362121, 0.021348357330574545, -0.38145345050928203, -0.2199830663888607, -0.2026573251824566, 0.0688814544876994, -0.14032771978743894, -0.21912819021489732, 0.44437754129839324, 0.07436526902453151, 0.21061528084236522, 0.08903490115216998, 0.2508842982135193, 0.09418952952377325, 0.028869965618617054, 0.1351870191283524, 0.10879625072486179, 0.20828292976934895, 0.03916445923265243, -0.13984064576974095, 0.017668852171059266, 0.181222407103971] |
711.1307 | A remark on singularities of primitive cohomology classes | Green and Griffiths have introduced several notions of singularities
associated with normal functions, especially in connection with middle
dimensional primitive Hodge classes. In this note, by using the more elementary
aspects of the Decomposition Theorem, we define global and local singularities
associated with primitive middle dimensional cohomology classes and by using
the Relative Hard Lefschetz Theorem, we show that these singularities detect
the global and local triviality of the primitive class. In a final section, we
write-up a classical inductive argument relating the Hodge conjecture to the
local non-vanishing of primitive classes.
| math.AG | green and griffiths have introduced several notions of singularities associated with normal functions especially in connection with middle dimensional primitive hodge classes in this note by using the more elementary aspects of the decomposition theorem we define global and local singularities associated with primitive middle dimensional cohomology classes and by using the relative hard lefschetz theorem we show that these singularities detect the global and local triviality of the primitive class in a final section we writeup a classical inductive argument relating the hodge conjecture to the local nonvanishing of primitive classes | [['green', 'and', 'griffiths', 'have', 'introduced', 'several', 'notions', 'of', 'singularities', 'associated', 'with', 'normal', 'functions', 'especially', 'in', 'connection', 'with', 'middle', 'dimensional', 'primitive', 'hodge', 'classes', 'in', 'this', 'note', 'by', 'using', 'the', 'more', 'elementary', 'aspects', 'of', 'the', 'decomposition', 'theorem', 'we', 'define', 'global', 'and', 'local', 'singularities', 'associated', 'with', 'primitive', 'middle', 'dimensional', 'cohomology', 'classes', 'and', 'by', 'using', 'the', 'relative', 'hard', 'lefschetz', 'theorem', 'we', 'show', 'that', 'these', 'singularities', 'detect', 'the', 'global', 'and', 'local', 'triviality', 'of', 'the', 'primitive', 'class', 'in', 'a', 'final', 'section', 'we', 'writeup', 'a', 'classical', 'inductive', 'argument', 'relating', 'the', 'hodge', 'conjecture', 'to', 'the', 'local', 'nonvanishing', 'of', 'primitive', 'classes']] | [-0.14633506897023282, 0.056216693139108626, -0.13429386552382747, 0.12573852023975315, -0.05761398914594041, -0.12641198885546107, -0.005828223952330122, 0.26592875719475356, -0.321736809514139, -0.23861735940748907, 0.10411382557662285, -0.20611806869577698, -0.1895499733414592, 0.15856311566439335, -0.1391446615630032, 0.006113302489013776, 0.03273226962546292, 0.0509023092163261, -0.10947232482620799, -0.26909137128487876, 0.46704920383332216, -0.04790339517690565, 0.22245319104631958, 0.07464158515769827, 0.08045382425189018, 0.041408868552104613, -0.07586733102494769, 0.016459967181815402, -0.13565368726939714, 0.18635021297908996, 0.27880739794193726, 0.04850609568656301, 0.21603882349723869, -0.41112174765895243, -0.10824785867716065, 0.19999305642736348, 0.048807123883465385, 0.036591915879398584, -0.003452738656683916, -0.24602230344190384, 0.15349868731573224, -0.16677788097877055, -0.23116660937091144, -0.08546725408498036, 0.018216874966721818, 0.021197641511326252, -0.1561552644504801, 0.058359324699267745, 0.12445792711490788, 0.1413366326596588, -0.06500467261977737, -0.07109870986365106, -0.05493680582098339, 0.05949070167970722, 0.025474064153335665, -0.020343534420649317, 0.07498437538837922, -0.12997070056561547, -0.1597241544691117, 0.31302894005025533, -0.03624061412056503, -0.1750287799564514, 0.20844915609442347, -0.14420368450531817, -0.22526533453492448, 0.1196741725763549, 0.06643333687426765, 0.15522493564513634, -0.04182355616079724, 0.14230954297565165, -0.08222450443503002, 0.06876822277073465, 0.1612641247617, 0.034152761929283806, 0.16783956706564387, 0.05098633220641995, 0.044431308529886374, 0.1604931359179318, -0.049077907883379936, -0.10121370647507517, -0.3799681243405718, -0.2147653782841466, -0.12249784753657877, 0.12458000014252636, -0.10152743721277069, -0.19323426474938574, 0.42869997451729747, 0.06212250836277077, 0.18832638711951996, 0.11119228431388088, 0.24659435276913902, 0.09035670995185881, 0.06955609046955309, 0.04428822221234441, 0.16732787821725334, 0.22876253442170666, 0.03968637160268491, -0.12694082125254563, 0.007886729618210507, 0.24354225627916015] |
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