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708.0649 | Quenched Limits for Transient, Ballistic, Sub-Gaussian One-Dimensional
Random Walk in Random Environment | We consider a nearest-neighbor, one-dimensional random walk $\{X_n\}_{n\geq
0}$ in a random i.i.d. environment, in the regime where the walk is transient
with speed v_P > 0 and there exists an $s\in(1,2)$ such that the annealed law
of $n^{-1/s} (X_n - n v_P)$ converges to a stable law of parameter s. Under the
quenched law (i.e., conditioned on the environment), we show that no limit laws
are possible. In particular we show that there exist sequences {t_k} and {t_k'}
depending on the environment only, such that a quenched central limit theorem
holds along the subsequence t_k, but the quenched limiting distribution along
the subsequence t_k' is a centered reverse exponential distribution. This
complements the results of a recent paper of Peterson and Zeitouni
(arXiv:0704.1778v1 [math.PR]) which handled the case when the parameter
$s\in(0,1)$.
| math.PR | we consider a nearestneighbor onedimensional random walk x_n_ngeq 0 in a random iid environment in the regime where the walk is transient with speed v_p 0 and there exists an sin12 such that the annealed law of n1s x_n n v_p converges to a stable law of parameter s under the quenched law ie conditioned on the environment we show that no limit laws are possible in particular we show that there exist sequences t_k and t_k depending on the environment only such that a quenched central limit theorem holds along the subsequence t_k but the quenched limiting distribution along the subsequence t_k is a centered reverse exponential distribution this complements the results of a recent paper of peterson and zeitouni arxiv07041778v1 mathpr which handled the case when the parameter sin01 | [['we', 'consider', 'a', 'nearestneighbor', 'onedimensional', 'random', 'walk', 'x_n_ngeq', '0', 'in', 'a', 'random', 'iid', 'environment', 'in', 'the', 'regime', 'where', 'the', 'walk', 'is', 'transient', 'with', 'speed', 'v_p', '0', 'and', 'there', 'exists', 'an', 'sin12', 'such', 'that', 'the', 'annealed', 'law', 'of', 'n1s', 'x_n', 'n', 'v_p', 'converges', 'to', 'a', 'stable', 'law', 'of', 'parameter', 's', 'under', 'the', 'quenched', 'law', 'ie', 'conditioned', 'on', 'the', 'environment', 'we', 'show', 'that', 'no', 'limit', 'laws', 'are', 'possible', 'in', 'particular', 'we', 'show', 'that', 'there', 'exist', 'sequences', 't_k', 'and', 't_k', 'depending', 'on', 'the', 'environment', 'only', 'such', 'that', 'a', 'quenched', 'central', 'limit', 'theorem', 'holds', 'along', 'the', 'subsequence', 't_k', 'but', 'the', 'quenched', 'limiting', 'distribution', 'along', 'the', 'subsequence', 't_k', 'is', 'a', 'centered', 'reverse', 'exponential', 'distribution', 'this', 'complements', 'the', 'results', 'of', 'a', 'recent', 'paper', 'of', 'peterson', 'and', 'zeitouni', 'arxiv07041778v1', 'mathpr', 'which', 'handled', 'the', 'case', 'when', 'the', 'parameter', 'sin01']] | [-0.1704878377710254, 0.19332496319066894, -0.08684932985768402, 0.02574180520247095, 0.022171179434427847, -0.16951336106643655, 0.10407752567060435, 0.39501650766111335, -0.27621642462909224, -0.1489650389770619, 0.09464400872104586, -0.3109185837782346, -0.09570147132483096, 0.15162136742057136, -0.04950092838127883, 0.014067623814424644, 0.030736966975606406, 0.06960290803645666, -0.008458760370446655, -0.23200167880501024, 0.2687432675371663, -0.047023582951022456, 0.25357855500187726, 0.012221210734256041, 0.10735004009105838, 0.025817179973147666, 0.04211902027376569, 0.019524240033486143, -0.18140441792269346, 0.0007282328939674279, 0.164453611522913, 0.028687194025573824, 0.2909875090019061, -0.34174662814117396, -0.16704030411604506, 0.2007528620163122, 0.17048817615185935, 0.039453211662252075, -0.04639819094087355, -0.23847208610700013, 0.11399979131260457, -0.12926405194716958, -0.18291429450305607, 0.021955628510421286, 0.08662559675912444, 0.09218688524471452, -0.32827328097505065, 0.1152319534520547, 0.17023387274060112, 0.04261691624370332, 0.017362127028620587, -0.11161336136552004, -0.017620975783882806, 0.10762575550403339, 0.06879479347172981, 0.08641618286402752, 0.1301108464025534, -0.0981366430176422, -0.07669062523636967, 0.3576873559074906, -0.11015409593327115, -0.15549371666454065, 0.16160191100520582, -0.20375677353451746, -0.1993784323012313, 0.08476780083281203, 0.08067894420908907, 0.13510624038837984, -0.09441757442736372, 0.18635724209687815, -0.10422678545403939, 0.1620843897840062, 0.07812022400590089, -0.006442708555214967, 0.12459511067001866, 0.11358116468987786, 0.12938360926569797, 0.13692002017901708, -0.05507957039203925, -0.1279734307689628, -0.31520101998287897, -0.12643436548801568, -0.26001537867750113, 0.15021045852739076, -0.17451690044578685, -0.192351759916458, 0.30011414730061703, 0.16140842772841166, 0.24135831754941206, 0.14040437195396338, 0.1934678165985343, 0.16291261245496572, -0.03349086075143602, 0.13407456640511206, 0.1014589218637691, 0.13201372445059512, 0.07371959110829406, -0.16143147384416526, 0.08020886719101467, 0.06544026714534713] |
708.065 | Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions | We present Wannier90, a program for calculating maximally-localised Wannier
functions (MLWF) from a set of Bloch energy bands that may or may not be
attached to or mixed with other bands. The formalism works by minimising the
total spread of the MLWF in real space. This done in the space of unitary
matrices that describe rotations of the Bloch bands at each k-point. As a
result, Wannier90 is independent of the basis set used in the underlying
calculation to obtain the Bloch states. Therefore, it may be interfaced
straightforwardly to any electronic structure code. The locality of MLWF can be
exploited to compute band-structure, density of states and Fermi surfaces at
modest computational cost. Furthermore, Wannier90 is able to output MLWF for
visualisation and other post-processing purposes. Wannier functions are already
used in a wide variety of applications. These include analysis of chemical
bonding in real space; calculation of dielectric properties via the modern
theory of polarisation; and as an accurate and minimal basis set in the
construction of model Hamiltonians for large-scale systems, in linear-scaling
quantum Monte Carlo calculations, and for efficient computation of material
properties, such as the anomalous Hall coefficient. Wannier90 is freely
available under the GNU General Public License from http://www.wannier.org/
| cond-mat.mtrl-sci | we present wannier90 a program for calculating maximallylocalised wannier functions mlwf from a set of bloch energy bands that may or may not be attached to or mixed with other bands the formalism works by minimising the total spread of the mlwf in real space this done in the space of unitary matrices that describe rotations of the bloch bands at each kpoint as a result wannier90 is independent of the basis set used in the underlying calculation to obtain the bloch states therefore it may be interfaced straightforwardly to any electronic structure code the locality of mlwf can be exploited to compute bandstructure density of states and fermi surfaces at modest computational cost furthermore wannier90 is able to output mlwf for visualisation and other postprocessing purposes wannier functions are already used in a wide variety of applications these include analysis of chemical bonding in real space calculation of dielectric properties via the modern theory of polarisation and as an accurate and minimal basis set in the construction of model hamiltonians for largescale systems in linearscaling quantum monte carlo calculations and for efficient computation of material properties such as the anomalous hall coefficient wannier90 is freely available under the gnu general public license from httpwwwwannierorg | [['we', 'present', 'wannier90', 'a', 'program', 'for', 'calculating', 'maximallylocalised', 'wannier', 'functions', 'mlwf', 'from', 'a', 'set', 'of', 'bloch', 'energy', 'bands', 'that', 'may', 'or', 'may', 'not', 'be', 'attached', 'to', 'or', 'mixed', 'with', 'other', 'bands', 'the', 'formalism', 'works', 'by', 'minimising', 'the', 'total', 'spread', 'of', 'the', 'mlwf', 'in', 'real', 'space', 'this', 'done', 'in', 'the', 'space', 'of', 'unitary', 'matrices', 'that', 'describe', 'rotations', 'of', 'the', 'bloch', 'bands', 'at', 'each', 'kpoint', 'as', 'a', 'result', 'wannier90', 'is', 'independent', 'of', 'the', 'basis', 'set', 'used', 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708.0651 | The Role of Evolutionary Age and Metallicity in the Formation of
Classical Be Circumstellar Disks II. Assessing the Evolutionary Nature of
Candidate Disk Systems | (Abridged version) We present the first detailed imaging polarization
observations of six SMC and six LMC clusters, known to have large populations
of B-type stars which exhibit excess H-alpha emission, to constrain the
evolutionary status of these stars and hence better establish links between the
onset of disk formation in classical Be stars and cluster age and/or
metallicity. The wavelength dependence of our intrinsic polarization data
provides a diagnostic of the dominant and any secondary polarigenic agents
present, enabling us to discriminate pure gas disk systems, i.e. classical Be
stars, from composite gas plus dust disk systems, i.e. Herbig Ae/Be or B[e]
stars. Our intrinsic polarization results, along with available near-IR color
information, strongly supports the suggestion of Wisniewski et al. that
classical Be stars are present in clusters of age 5-8 Myr, and contradict
assertions that the Be phenomenon only develops in the second half of a B
star's main sequence lifetime, i.e. no earlier than 10 Myr.
Comparing the polarimetric properties of our dataset to a similar survey of
Galactic classical Be stars, we find that the prevalence of polarimetric Balmer
jump signatures decreases with metallicity. We speculate that these results
might indicate that either it is more difficult to form large disk systems in
low metallicity environments, or that the average disk temperature is higher in
these low metallicity environments. We have characterized the polarimetric
signatures of all candidate Be stars in our data sample and find ~25% are
unlikely to arise from true classical Be star-disk systems.
| astro-ph | abridged version we present the first detailed imaging polarization observations of six smc and six lmc clusters known to have large populations of btype stars which exhibit excess halpha emission to constrain the evolutionary status of these stars and hence better establish links between the onset of disk formation in classical be stars and cluster age andor metallicity the wavelength dependence of our intrinsic polarization data provides a diagnostic of the dominant and any secondary polarigenic agents present enabling us to discriminate pure gas disk systems ie classical be stars from composite gas plus dust disk systems ie herbig aebe or be stars our intrinsic polarization results along with available nearir color information strongly supports the suggestion of wisniewski et al that classical be stars are present in clusters of age 58 myr and contradict assertions that the be phenomenon only develops in the second half of a b stars main sequence lifetime ie no earlier than 10 myr comparing the polarimetric properties of our dataset to a similar survey of galactic classical be stars we find that the prevalence of polarimetric balmer jump signatures decreases with metallicity we speculate that these results might indicate that either it is more difficult to form large disk systems in low metallicity environments or that the average disk temperature is higher in these low metallicity environments we have characterized the polarimetric signatures of all candidate be stars in our data sample and find 25 are unlikely to arise from true classical be stardisk systems | [['abridged', 'version', 'we', 'present', 'the', 'first', 'detailed', 'imaging', 'polarization', 'observations', 'of', 'six', 'smc', 'and', 'six', 'lmc', 'clusters', 'known', 'to', 'have', 'large', 'populations', 'of', 'btype', 'stars', 'which', 'exhibit', 'excess', 'halpha', 'emission', 'to', 'constrain', 'the', 'evolutionary', 'status', 'of', 'these', 'stars', 'and', 'hence', 'better', 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708.0652 | A Uniqueness Theorem and Its Application to Field-Theoretical Models
with a Fundamental Length | It is shown that if a distribution V of exponential growth has support in a
proper convex cone and its Fourier transform is carried by a closed cone
different from whole space, then V=0. The application of this result to a {\em
quasi-local} quantum field theory (where the fields are localizable only in
regions greater than a certain scale of nonlocality) is contemplated. In
particular, we show that a number of physically important predictions of {\em
local} quantum field theory also hold in a quantum field theory with a
fundamental length, as indicated from string theory.
| math.FA math-ph math.MP | it is shown that if a distribution v of exponential growth has support in a proper convex cone and its fourier transform is carried by a closed cone different from whole space then v0 the application of this result to a em quasilocal quantum field theory where the fields are localizable only in regions greater than a certain scale of nonlocality is contemplated in particular we show that a number of physically important predictions of em local quantum field theory also hold in a quantum field theory with a fundamental length as indicated from string theory | [['it', 'is', 'shown', 'that', 'if', 'a', 'distribution', 'v', 'of', 'exponential', 'growth', 'has', 'support', 'in', 'a', 'proper', 'convex', 'cone', 'and', 'its', 'fourier', 'transform', 'is', 'carried', 'by', 'a', 'closed', 'cone', 'different', 'from', 'whole', 'space', 'then', 'v0', 'the', 'application', 'of', 'this', 'result', 'to', 'a', 'em', 'quasilocal', 'quantum', 'field', 'theory', 'where', 'the', 'fields', 'are', 'localizable', 'only', 'in', 'regions', 'greater', 'than', 'a', 'certain', 'scale', 'of', 'nonlocality', 'is', 'contemplated', 'in', 'particular', 'we', 'show', 'that', 'a', 'number', 'of', 'physically', 'important', 'predictions', 'of', 'em', 'local', 'quantum', 'field', 'theory', 'also', 'hold', 'in', 'a', 'quantum', 'field', 'theory', 'with', 'a', 'fundamental', 'length', 'as', 'indicated', 'from', 'string', 'theory']] | [-0.13380171264361707, 0.16884752835418718, -0.13724552718000874, 0.08402235513252283, -0.05521303223698245, -0.12653757413985053, 0.014001229149774494, 0.3392526583969205, -0.2782415913825389, -0.22232195366329202, 0.08745480744012941, -0.21320131234824657, -0.1743546685029287, 0.21314431451416263, -0.03811630202108063, 0.04323345563473898, 0.016822245820852306, 0.11707777782673172, -0.048619978813803755, -0.2323135772215513, 0.3175410868473894, 0.006608724857263344, 0.25639365747095627, 0.044205473954207264, 0.09299422530360364, 0.014703738313983195, 0.016195519943721592, 0.1146849256325974, -0.12035841514762069, 0.1216142559957613, 0.22683220521624511, 0.14270625977466503, 0.3024503234870887, -0.4147567829155984, -0.2520724073110614, 0.0858103282371303, 0.11601728714595083, 0.09689376919413917, -0.05702259399549803, -0.25343682679037255, 0.11580264990334399, -0.14365213062653007, -0.1403805201941092, -0.039724662671991005, 0.06892213184012992, -0.021864109485250083, -0.25877523482389125, 0.05954224884256595, 0.06381944256888043, 0.06252796546565757, -0.048535873799361674, -0.0456097236747155, -0.002105589247851943, 0.06005498851785281, 0.04322295294211168, 0.10688475315691903, 0.10843240945541766, -0.15158863843680592, -0.11071281364517442, 0.3822903152710448, -0.062339774437987217, -0.21354412541889664, 0.1544617091355273, -0.18759445579841363, -0.10783703694566309, 0.11965847876611709, 0.09809938857991558, 0.15075198056001682, -0.10538526150776306, 0.20074435005214278, -0.08497071569339217, 0.14516533823916689, 0.06965330547245685, 0.07422621164975378, 0.19951520825513094, 0.0902816408512687, 0.10732886353313613, 0.1240173568900597, -0.03696163010317832, -0.12516007334246146, -0.3714014546906886, -0.19980423436694159, -0.2244076758021644, 0.11697089976708715, -0.07924232781306273, -0.18258376399262488, 0.3718216270547903, 0.10988250579490948, 0.20237490462022834, 0.023041246468589332, 0.25231911193501827, 0.12462980245254585, 0.0766539503383683, 0.07615545870695921, 0.21759810539272925, 0.17386898243057658, 0.02889486216493727, -0.16268752556061372, -0.01627708592665537, 0.0564755933980147] |
708.0653 | Experimental Violation of Bell's Inequality in Spatial-Parity Space | We report the first experimental violation of Bell's inequality in the
spatial domain using the Einstein--Podolsky--Rosen state. Two-photon states
generated via optical spontaneous parametric downconversion are shown to be
entangled in the parity of their one-dimensional transverse spatial profile.
Superpositions of Bell states are prepared by manipulation of the optical
pump's transverse spatial parity--a classical parameter. The Bell-operator
measurements are made possible by devising simple optical arrangements that
perform rotations in the one-dimensional spatial-parity space of each photon of
an entangled pair and projective measurements onto a basis of even--odd
functions. A Bell-operator value of 2.389 +- 0.016 is recorded, a violation of
the inequality by more than 24 standard deviations.
| quant-ph | we report the first experimental violation of bells inequality in the spatial domain using the einsteinpodolskyrosen state twophoton states generated via optical spontaneous parametric downconversion are shown to be entangled in the parity of their onedimensional transverse spatial profile superpositions of bell states are prepared by manipulation of the optical pumps transverse spatial paritya classical parameter the belloperator measurements are made possible by devising simple optical arrangements that perform rotations in the onedimensional spatialparity space of each photon of an entangled pair and projective measurements onto a basis of evenodd functions a belloperator value of 2389 0016 is recorded a violation of the inequality by more than 24 standard deviations | [['we', 'report', 'the', 'first', 'experimental', 'violation', 'of', 'bells', 'inequality', 'in', 'the', 'spatial', 'domain', 'using', 'the', 'einsteinpodolskyrosen', 'state', 'twophoton', 'states', 'generated', 'via', 'optical', 'spontaneous', 'parametric', 'downconversion', 'are', 'shown', 'to', 'be', 'entangled', 'in', 'the', 'parity', 'of', 'their', 'onedimensional', 'transverse', 'spatial', 'profile', 'superpositions', 'of', 'bell', 'states', 'are', 'prepared', 'by', 'manipulation', 'of', 'the', 'optical', 'pumps', 'transverse', 'spatial', 'paritya', 'classical', 'parameter', 'the', 'belloperator', 'measurements', 'are', 'made', 'possible', 'by', 'devising', 'simple', 'optical', 'arrangements', 'that', 'perform', 'rotations', 'in', 'the', 'onedimensional', 'spatialparity', 'space', 'of', 'each', 'photon', 'of', 'an', 'entangled', 'pair', 'and', 'projective', 'measurements', 'onto', 'a', 'basis', 'of', 'evenodd', 'functions', 'a', 'belloperator', 'value', 'of', '2389', '0016', 'is', 'recorded', 'a', 'violation', 'of', 'the', 'inequality', 'by', 'more', 'than', '24', 'standard', 'deviations']] | [-0.141326812285251, 0.22483904751697142, -0.05730592108018279, 0.03440290017414699, -0.015248432644494922, -0.18747178358504565, 0.03764279871726426, 0.3933813406206737, -0.23204109281763624, -0.2615198862225374, 0.04497905019192008, -0.27829326549980127, -0.023408062773469452, 0.20622275355402556, 0.020866677698692323, 0.11925622576218813, 0.03594164521363782, -0.04563493540980548, -0.07200914270747191, -0.1893770866766224, 0.29131953701133206, -0.0013941333968644945, 0.336806316033145, 0.0022891348175634848, 0.10588423436002753, 0.043350692089890765, 0.005018870054665848, -0.03673306891665289, -0.07400917678574485, 0.13872922567768178, 0.2135114791459256, 0.11271543705196198, 0.21625719781721306, -0.4173559029630133, -0.15863523734776983, 0.14921685783453634, 0.09960385289252083, 0.1597557558099278, -0.03418359756167808, -0.37428011755224005, -0.03637181080999636, -0.13030012545315114, -0.1454630922395562, -0.09279525161625068, 0.0020287723115114406, -0.00735037036731874, -0.26618692445107434, 0.1582805079747444, 0.026683074633251425, 0.10216382031859918, 0.026247444749748872, -0.0405234076848654, -0.06789218580837701, 0.01627576023897278, -0.04730976378397198, -0.00017739443769939592, 0.13159817603860643, -0.11269932279415498, -0.22685348588068074, 0.34459275999443745, -0.03795425743411326, -0.22444424203762384, 0.09852092007227312, -0.1892249449809021, -0.06262846191404997, 0.11057451884392823, 0.12820917894360914, 0.11755855298366084, -0.1257080740217015, 0.002475721201811543, -0.09387237826693003, 0.20965021675850795, 0.12559686524132005, 0.1439765284281816, 0.18217012376163294, 0.09136175884099276, 0.03402028436485295, 0.1862422205740586, -0.11190134165025203, -0.07933354003531162, -0.34232889230702523, -0.16526460362963866, -0.24548493118991502, 0.10384058392667603, -0.06438701551951029, -0.07375903703924051, 0.40756687756505944, 0.05620296818376127, 0.17453693003158702, -0.035114771721310147, 0.2651140502714944, 0.09802139666862786, 0.047951047881027664, -0.016285197935545833, 0.3105970450859761, 0.16681160697513303, 0.07033140092890135, -0.22897343076852578, 0.04703038685441574, 0.02214170623979766] |
708.0654 | Structure or Noise? | We show how rate-distortion theory provides a mechanism for automated theory
building by naturally distinguishing between regularity and randomness. We
start from the simple principle that model variables should, as much as
possible, render the future and past conditionally independent. From this, we
construct an objective function for model making whose extrema embody the
trade-off between a model's structural complexity and its predictive power. The
solutions correspond to a hierarchy of models that, at each level of
complexity, achieve optimal predictive power at minimal cost. In the limit of
maximal prediction the resulting optimal model identifies a process's intrinsic
organization by extracting the underlying causal states. In this limit, the
model's complexity is given by the statistical complexity, which is known to be
minimal for achieving maximum prediction. Examples show how theory building can
profit from analyzing a process's causal compressibility, which is reflected in
the optimal models' rate-distortion curve--the process's characteristic for
optimally balancing structure and noise at different levels of representation.
| physics.data-an cond-mat.stat-mech cs.IT cs.LG math-ph math.IT math.MP math.ST nlin.CD stat.TH | we show how ratedistortion theory provides a mechanism for automated theory building by naturally distinguishing between regularity and randomness we start from the simple principle that model variables should as much as possible render the future and past conditionally independent from this we construct an objective function for model making whose extrema embody the tradeoff between a models structural complexity and its predictive power the solutions correspond to a hierarchy of models that at each level of complexity achieve optimal predictive power at minimal cost in the limit of maximal prediction the resulting optimal model identifies a processs intrinsic organization by extracting the underlying causal states in this limit the models complexity is given by the statistical complexity which is known to be minimal for achieving maximum prediction examples show how theory building can profit from analyzing a processs causal compressibility which is reflected in the optimal models ratedistortion curvethe processs characteristic for optimally balancing structure and noise at different levels of representation | [['we', 'show', 'how', 'ratedistortion', 'theory', 'provides', 'a', 'mechanism', 'for', 'automated', 'theory', 'building', 'by', 'naturally', 'distinguishing', 'between', 'regularity', 'and', 'randomness', 'we', 'start', 'from', 'the', 'simple', 'principle', 'that', 'model', 'variables', 'should', 'as', 'much', 'as', 'possible', 'render', 'the', 'future', 'and', 'past', 'conditionally', 'independent', 'from', 'this', 'we', 'construct', 'an', 'objective', 'function', 'for', 'model', 'making', 'whose', 'extrema', 'embody', 'the', 'tradeoff', 'between', 'a', 'models', 'structural', 'complexity', 'and', 'its', 'predictive', 'power', 'the', 'solutions', 'correspond', 'to', 'a', 'hierarchy', 'of', 'models', 'that', 'at', 'each', 'level', 'of', 'complexity', 'achieve', 'optimal', 'predictive', 'power', 'at', 'minimal', 'cost', 'in', 'the', 'limit', 'of', 'maximal', 'prediction', 'the', 'resulting', 'optimal', 'model', 'identifies', 'a', 'processs', 'intrinsic', 'organization', 'by', 'extracting', 'the', 'underlying', 'causal', 'states', 'in', 'this', 'limit', 'the', 'models', 'complexity', 'is', 'given', 'by', 'the', 'statistical', 'complexity', 'which', 'is', 'known', 'to', 'be', 'minimal', 'for', 'achieving', 'maximum', 'prediction', 'examples', 'show', 'how', 'theory', 'building', 'can', 'profit', 'from', 'analyzing', 'a', 'processs', 'causal', 'compressibility', 'which', 'is', 'reflected', 'in', 'the', 'optimal', 'models', 'ratedistortion', 'curvethe', 'processs', 'characteristic', 'for', 'optimally', 'balancing', 'structure', 'and', 'noise', 'at', 'different', 'levels', 'of', 'representation']] | [-0.07331896889554851, 0.07744856530800819, -0.10949170022940069, 0.12093893438934754, -0.05836350813599452, -0.14933519419054128, 0.11152803241503796, 0.33498092355817966, -0.3316770338573339, -0.3213540850967123, 0.08387447123010815, -0.25389539067593453, -0.1836920522019107, 0.17976172906746574, -0.1012340071068311, 0.06951699405872874, 0.00978757994123763, 0.0607104020227501, -0.05995974518955782, -0.2199144300767592, 0.2974585539045704, 0.11106002168512784, 0.33086871722730254, 0.010364940992779344, 0.13999521250313754, -0.009491154818332816, 0.010492847769584026, 0.03519653113833143, -0.11689952138211061, 0.16307789821890498, 0.30183865070641913, 0.18487312301790357, 0.27966175631882817, -0.39033231360336446, -0.24281962589429337, 0.12146426469981784, 0.098273142511625, 0.10080266409507878, 0.00439760500302344, -0.2110319334465119, 0.08260734806707175, -0.1303010834323848, -0.09215926551231486, -0.08959903855282425, -0.02010388327533939, -0.013853912721702291, -0.29308933316639973, 0.07345244365578597, 0.051467621741827826, 0.04320628083442435, -0.0519962402944813, -0.09133597091411703, -0.041513338745028876, 0.15750107130012903, 0.04211598333397, 0.014265870147826081, 0.09873698300901983, -0.15779457783806453, -0.15957479573717695, 0.34245232172721735, -0.031060411200567257, -0.23252106289967803, 0.15230865762826123, -0.08862187251437204, -0.12860515857961005, 0.10191837857060272, 0.19280844219128937, 0.0606832761843146, -0.16152499452771824, 0.09517642771225263, -0.0249414143253952, 0.192049962645568, 0.05047227740409196, 0.06715915679497404, 0.22769348059089545, 0.21939314098777307, 0.081580436794213, 0.14642659966059693, -0.014884020507541354, -0.12003082222272385, -0.30848667971744126, -0.10745834620909457, -0.16607670322563384, 0.03254679053810431, -0.15140389465045562, -0.13959136236733272, 0.4027628991410045, 0.1781355899664362, 0.19323134950884943, 0.14053924808684348, 0.28930410968948245, 0.13328263574234137, 0.00879588702327909, 0.11286726340714362, 0.19394394053443353, 0.08029171155959916, 0.021434179852870893, -0.21601060271531664, 0.12872014140875931, 0.06817004867640833] |
708.0655 | A very cool brown dwarf in UKIDSS DR1 | (abridged) We report the discovery of a very cool brown dwarf, ULAS
J003402.77-005206.7 (ULAS J0034-00), identified in UKIDSS DR1. We provide
optical, near-infrared, and mid-infrared photometry of the source, and two
near-infrared spectra. Comparing the spectral energy distribution of ULAS
J0034-00 to that of the T8 brown dwarf 2MASS J0415-09, the latest-type and
coolest well-studied brown dwarf to date, with Teff~750 K, we find evidence
that ULAS J0034-00 is significantly cooler. First, the measured values of the
near-infrared absorption spectral indices imply a later classification, of
T8.5. Second, the H-[4.49] colour provides an empirical estimate of the
temperature of 540<Teff<660 K (+/-2sig range). Third, the J- and H-band peaks
are somewhat narrower in ULAS J0034-00, and detailed comparison against
spectral models calibrated to 2MASS J0415-09 yields an estimated temperature
lower by 60-120 K relative to 2MASS J0415-09 i.e. 630<Teff<690 K (+/-2sig), and
lower gravity or higher metallicity according to the degenerate combination
-0.5<delta(log g-2[m/H])<-0.25 (+/-2sig). Combining these estimates, and
considering systematics, it is likely the temperature lies in the range
600<Teff<700 K. Despite the low inferred Teff we find no evidence for strong
absorption by NH3 over the wavelength range 1.51-1.56 um. Evolutionary models
imply that the mass and age are in the ranges 15-36 M(Jup) and 0.5-8 Gyr,
respectively. The measured proper motion, of (0.37+/-0.07)arcsec/yr, combined
with the photometrically estimated distance of 14-22 pc, implies a tangential
velocity of ~30 km/s. ULAS J0034-00 is significantly bluer than 2MASS J0415-09
in Y-J, so future searches should allow for the possibility that cooler T
dwarfs are bluer still.
| astro-ph | abridged we report the discovery of a very cool brown dwarf ulas j003402770052067 ulas j003400 identified in ukidss dr1 we provide optical nearinfrared and midinfrared photometry of the source and two nearinfrared spectra comparing the spectral energy distribution of ulas j003400 to that of the t8 brown dwarf 2mass j041509 the latesttype and coolest wellstudied brown dwarf to date with teff750 k we find evidence that ulas j003400 is significantly cooler first the measured values of the nearinfrared absorption spectral indices imply a later classification of t85 second the h449 colour provides an empirical estimate of the temperature of 540teff660 k 2sig range third the j and hband peaks are somewhat narrower in ulas j003400 and detailed comparison against spectral models calibrated to 2mass j041509 yields an estimated temperature lower by 60120 k relative to 2mass j041509 ie 630teff690 k 2sig and lower gravity or higher metallicity according to the degenerate combination 05deltalog g2mh025 2sig combining these estimates and considering systematics it is likely the temperature lies in the range 600teff700 k despite the low inferred teff we find no evidence for strong absorption by nh3 over the wavelength range 151156 um evolutionary models imply that the mass and age are in the ranges 1536 mjup and 058 gyr respectively the measured proper motion of 037007arcsecyr combined with the photometrically estimated distance of 1422 pc implies a tangential velocity of 30 kms ulas j003400 is significantly bluer than 2mass j041509 in yj so future searches should allow for the possibility that cooler t dwarfs are bluer still | [['abridged', 'we', 'report', 'the', 'discovery', 'of', 'a', 'very', 'cool', 'brown', 'dwarf', 'ulas', 'j003402770052067', 'ulas', 'j003400', 'identified', 'in', 'ukidss', 'dr1', 'we', 'provide', 'optical', 'nearinfrared', 'and', 'midinfrared', 'photometry', 'of', 'the', 'source', 'and', 'two', 'nearinfrared', 'spectra', 'comparing', 'the', 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708.0656 | A multivariate central limit theorem for randomized orthogonal array
sampling designs in computer experiments | Let $f:[0,1)^d \to {\mathbb R}$ be an integrable function. An objective of
many computer experiments is to estimate $\int_{[0,1)^d} f(x) dx$ by evaluating
f at a finite number of points in [0,1)^d. There is a design issue in the
choice of these points and a popular choice is via the use of randomized
orthogonal arrays. This article proves a multivariate central limit theorem for
a class of randomized orthogonal array sampling designs [Owen (1992a)] as well
as for a class of OA-based Latin hypercubes [Tang (1993)].
| math.ST stat.ME stat.TH | let f01d to mathbb r be an integrable function an objective of many computer experiments is to estimate int_01d fx dx by evaluating f at a finite number of points in 01d there is a design issue in the choice of these points and a popular choice is via the use of randomized orthogonal arrays this article proves a multivariate central limit theorem for a class of randomized orthogonal array sampling designs owen 1992a as well as for a class of oabased latin hypercubes tang 1993 | [['let', 'f01d', 'to', 'mathbb', 'r', 'be', 'an', 'integrable', 'function', 'an', 'objective', 'of', 'many', 'computer', 'experiments', 'is', 'to', 'estimate', 'int_01d', 'fx', 'dx', 'by', 'evaluating', 'f', 'at', 'a', 'finite', 'number', 'of', 'points', 'in', '01d', 'there', 'is', 'a', 'design', 'issue', 'in', 'the', 'choice', 'of', 'these', 'points', 'and', 'a', 'popular', 'choice', 'is', 'via', 'the', 'use', 'of', 'randomized', 'orthogonal', 'arrays', 'this', 'article', 'proves', 'a', 'multivariate', 'central', 'limit', 'theorem', 'for', 'a', 'class', 'of', 'randomized', 'orthogonal', 'array', 'sampling', 'designs', 'owen', '1992a', 'as', 'well', 'as', 'for', 'a', 'class', 'of', 'oabased', 'latin', 'hypercubes', 'tang', '1993']] | [-0.151475937511783, 0.03175206569202211, -0.04490718307317279, 0.04253199216743399, -0.048927394135500346, -0.1483693872578442, 0.04142397721408911, 0.35655381472869996, -0.2646335107939584, -0.22082974246725262, 0.14857514781622394, -0.26050006819977645, -0.14956996198313954, 0.22780328129772984, -0.13017409445074873, 0.055198682823434604, 0.035878821630917844, -0.01688677795408737, -0.06149153055490127, -0.2854059075471014, 0.25426155515015125, 0.03284158400215563, 0.24970885111196411, -0.014919419695312778, 0.11224085266266706, 0.06474574304939736, -0.012712871833216576, 0.006966417757905133, -0.12835175920987413, 0.08976902050476167, 0.3345601974565181, 0.15404093661345541, 0.36586310980575426, -0.3224626335071489, -0.12142404583504512, 0.18716013379439356, 0.13558242814837113, 0.01412212927382262, -0.01626272705782737, -0.22194676050206735, 0.06942419021479077, -0.13687577781577906, -0.16445655566418454, -0.026728000638416103, 0.06579447850318891, 0.059044657895962395, -0.38427954598418657, -0.023426873091098276, 0.0739762079195186, 0.10486454507779508, 0.06431203415905613, -0.1754884720181248, 0.049201875988815334, 0.044864446229656185, -0.02133805497405341, 0.13818170377496808, 0.052367451323551084, -0.05561850914299222, -0.15540859602125628, 0.35599142168870285, -0.04142183672991537, -0.25283210383107263, 0.12140095215069041, -0.09456393883807496, -0.16306632786013542, 0.08804811586049341, 0.16052873923936636, 0.11700275951686005, -0.12535182750296026, 0.16864875110816988, -0.1347825320955876, 0.11573505523293057, 0.09992826017661996, -0.0063310611128274885, 0.17517309009175128, 0.13738693290257029, 0.10463870572788264, 0.16903181813540868, -0.05454418322603617, -0.04326436388128925, -0.29069519270255806, -0.1546022390636305, -0.25885287296426085, 0.10850549453780764, -0.11563952753325187, -0.21087459807417222, 0.34912487673240583, 0.08293045866802069, 0.14946806781171335, 0.08268592124139625, 0.2162880716246686, 0.08472878068208783, 0.015267393317550332, 0.07153331267181784, 0.07656536083335855, 0.15570393636534435, 0.029797616148633615, -0.11786468648573473, 0.02019235630896652, 0.135301071490782] |
708.0657 | Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit | We demonstrate the use of trapped ytterbium ions as quantum bits for quantum
information processing. We implement fast, efficient state preparation and
state detection of the first-order magnetic field-insensitive hyperfine levels
of 171Yb+, with a measured coherence time of 2.5 seconds. The high efficiency
and high fidelity of these operations is accomplished through the stabilization
and frequency modulation of relevant laser sources.
| quant-ph | we demonstrate the use of trapped ytterbium ions as quantum bits for quantum information processing we implement fast efficient state preparation and state detection of the firstorder magnetic fieldinsensitive hyperfine levels of 171yb with a measured coherence time of 25 seconds the high efficiency and high fidelity of these operations is accomplished through the stabilization and frequency modulation of relevant laser sources | [['we', 'demonstrate', 'the', 'use', 'of', 'trapped', 'ytterbium', 'ions', 'as', 'quantum', 'bits', 'for', 'quantum', 'information', 'processing', 'we', 'implement', 'fast', 'efficient', 'state', 'preparation', 'and', 'state', 'detection', 'of', 'the', 'firstorder', 'magnetic', 'fieldinsensitive', 'hyperfine', 'levels', 'of', '171yb', 'with', 'a', 'measured', 'coherence', 'time', 'of', '25', 'seconds', 'the', 'high', 'efficiency', 'and', 'high', 'fidelity', 'of', 'these', 'operations', 'is', 'accomplished', 'through', 'the', 'stabilization', 'and', 'frequency', 'modulation', 'of', 'relevant', 'laser', 'sources']] | [-0.16359971164004697, 0.246720754781798, 0.04839362859755995, 0.009961937140155162, 0.06598457459720873, -0.1807938082399027, 0.1270093752236496, 0.43581681180324766, -0.2307178711503624, -0.3364978393975405, 0.07986043010567946, -0.22614635017910792, 0.012179488496434304, 0.2327781646482406, 0.0021655951577779506, 0.11704385791334414, 0.07090972461587479, 0.03412730673388127, -0.07969287565098174, -0.21264946483255875, 0.199430126854549, 0.10858102047894781, 0.3192636629326209, 0.033202239237124884, 0.17770614315785707, -0.013147962722747077, 0.06410037684104135, -0.09968145899174194, -0.06005656477364321, 0.11200776838907792, 0.2861215341235361, 0.12015516142691335, 0.24314337752519116, -0.45551244683203196, -0.2027298420134391, 0.041480224684722, 0.10481359034160813, 0.1848534884742431, -0.07954548042447816, -0.3338744847043868, -0.0067143481555244616, -0.15610482270318654, -0.056551355598193985, -0.1814018626276764, -0.003644399585262422, 0.020676090261868892, -0.2559635331929331, 0.08941714212508692, 0.026559628218585145, 0.11367259375495656, -0.04447809461083624, -0.04020974325436738, 0.05194694761397137, 0.09904435537605276, -0.10753660553675745, 0.02196928542370217, 0.19989194806605096, -0.10187907242065956, -0.15993793491995142, 0.349786366260941, -0.10108240326911572, -0.07580114291199753, 0.14907258134635706, -0.13805417351109245, -0.07550071918916318, 0.15309816887301783, 0.14085875376082596, 0.14755002397202677, -0.06329892002489237, -0.0008972485412678291, 0.12723186369534703, 0.29534798975087584, 0.10726453194905433, 0.18675316885233886, 0.1898834891617298, 0.1745039147020678, 0.030435371738407883, 0.1974199042456495, -0.1804285001295108, -0.08708546781206443, -0.24919515586788615, -0.20686346098720546, -0.20813753794232803, 0.056172580908863776, -0.061676147235454164, -0.08274866764399884, 0.3983189055035191, 0.1583328365137981, 0.129837719043867, -0.055200582430247336, 0.36783472070049855, 0.13447914734264957, 0.026553699506386634, 0.042153696416907256, 0.23022445970244945, 0.173630723609559, 0.11083183220527586, -0.30579050913483147, 0.014946330864463122, -0.006027777888154942] |
708.0658 | Trojan Horse as an indirect technique in nuclear astrophysics. Resonance
reactions | The Trojan Horse method is a powerful indirect technique that provides
information to determine astrophysical factors for binary rearrangement
processes $x + A \to b + B$ at astrophysically relevant energies by measuring
the cross section for the Trojan Horse reaction $a + A \to y+ b + B$ in
quasi-free kinematics. We present the theory of the Trojan Horse method for
resonant binary subreactions based on the half-off-energy-shell R matrix
approach which takes into account the off-energy-shell effects and initial and
final state interactions.
| nucl-th | the trojan horse method is a powerful indirect technique that provides information to determine astrophysical factors for binary rearrangement processes x a to b b at astrophysically relevant energies by measuring the cross section for the trojan horse reaction a a to y b b in quasifree kinematics we present the theory of the trojan horse method for resonant binary subreactions based on the halfoffenergyshell r matrix approach which takes into account the offenergyshell effects and initial and final state interactions | [['the', 'trojan', 'horse', 'method', 'is', 'a', 'powerful', 'indirect', 'technique', 'that', 'provides', 'information', 'to', 'determine', 'astrophysical', 'factors', 'for', 'binary', 'rearrangement', 'processes', 'x', 'a', 'to', 'b', 'b', 'at', 'astrophysically', 'relevant', 'energies', 'by', 'measuring', 'the', 'cross', 'section', 'for', 'the', 'trojan', 'horse', 'reaction', 'a', 'a', 'to', 'y', 'b', 'b', 'in', 'quasifree', 'kinematics', 'we', 'present', 'the', 'theory', 'of', 'the', 'trojan', 'horse', 'method', 'for', 'resonant', 'binary', 'subreactions', 'based', 'on', 'the', 'halfoffenergyshell', 'r', 'matrix', 'approach', 'which', 'takes', 'into', 'account', 'the', 'offenergyshell', 'effects', 'and', 'initial', 'and', 'final', 'state', 'interactions']] | [-0.08061606684126534, 0.10006003399403432, -0.16020732099684373, 0.11146295605710922, -0.010566614657783737, -0.15270810760557652, 0.09946402052614409, 0.2870245384147916, -0.23301748083068582, -0.2773861641971729, -0.014906126547616739, -0.26469670751920116, -0.07900311122051416, 0.16222806396679237, 0.0320804575458169, 0.06312825504499368, 0.13467781762114894, 0.03902749024713651, 0.011534349461539816, -0.17819843899745208, 0.3253909471289565, 0.059388475731397286, 0.151841225520445, 0.08865203399163409, 0.1140290101369222, 0.11305333365304157, -0.02459120634608926, -0.04970321369667848, -0.14501731518780267, 0.09595653287266405, 0.24385417267107046, 0.15215676996068886, 0.21411112528771925, -0.34911007375623554, -0.16323574704195684, 0.0643871874930576, 0.08468034916306631, 0.12282419870518005, -0.0629162526382014, -0.3407466298309513, 0.10067650057876912, -0.20962968084197015, -0.07762061793786976, -0.08701959641304058, 0.1491925836278078, -0.03857272486083019, -0.3416286184727095, 0.07542672504981358, 0.07030526966823694, -0.004433246418977013, -0.09513132865182482, -0.2071246702092676, -0.02074983009758095, 0.1051359198665103, -0.004813565099492478, -0.002098321305358042, 0.22502623182327414, -0.05702611044622385, -0.0895472537451543, 0.40109051764757636, -0.05784928508831236, -0.16032047592587054, 0.17760687426795277, -0.1483783811533776, -0.1533502614012179, 0.1775278393417979, 0.22755378587410235, 0.15598299278794095, -0.1801143079602088, 0.08052011721809275, -0.00873165436160679, 0.16036838254867455, 0.048420743216784336, -0.02226776359543109, 0.19446651233384052, 0.16405776888132095, 0.004752732299936888, 0.07907734149828172, -0.18186208489649475, -0.06948808100647651, -0.27429076274618125, -0.14091889405002198, -0.09409000308742413, 0.07429323038265395, -0.011319439111572977, -0.10637373919001757, 0.3393127944929382, 0.09008304827297345, 0.23516400440787086, -0.05549440893362491, 0.31893324832885694, 0.03481266937720088, 0.03308495247247032, 0.022670460082829382, 0.27743679202663213, 0.1348255776280824, 0.03715179807458741, -0.2304598762689588, 0.13345590321562037, 0.07286847109954135] |
708.0659 | Exit paths and constructible stacks | For a Whitney stratification S of a space X (or more generally a topological
stratification in the sense of Goresky and MacPherson) we introduce the notion
of an S-constructible stack of categories on X. The motivating example is the
stack of S-constructible perverse sheaves. We introduce a 2-category $EP_{\leq
2}(X,S)$, called the exit-path 2-category, which is a natural stratified
version of the fundamental 2-groupoid. Our main result is that the 2-category
of S-constructible stacks on X is equivalent to the 2-category of 2-functors
from $EP_{\leq 2}(X,S)$ to the 2-category of small categories.
| math.AT | for a whitney stratification s of a space x or more generally a topological stratification in the sense of goresky and macpherson we introduce the notion of an sconstructible stack of categories on x the motivating example is the stack of sconstructible perverse sheaves we introduce a 2category ep_leq 2xs called the exitpath 2category which is a natural stratified version of the fundamental 2groupoid our main result is that the 2category of sconstructible stacks on x is equivalent to the 2category of 2functors from ep_leq 2xs to the 2category of small categories | [['for', 'a', 'whitney', 'stratification', 's', 'of', 'a', 'space', 'x', 'or', 'more', 'generally', 'a', 'topological', 'stratification', 'in', 'the', 'sense', 'of', 'goresky', 'and', 'macpherson', 'we', 'introduce', 'the', 'notion', 'of', 'an', 'sconstructible', 'stack', 'of', 'categories', 'on', 'x', 'the', 'motivating', 'example', 'is', 'the', 'stack', 'of', 'sconstructible', 'perverse', 'sheaves', 'we', 'introduce', 'a', '2category', 'ep_leq', '2xs', 'called', 'the', 'exitpath', '2category', 'which', 'is', 'a', 'natural', 'stratified', 'version', 'of', 'the', 'fundamental', '2groupoid', 'our', 'main', 'result', 'is', 'that', 'the', '2category', 'of', 'sconstructible', 'stacks', 'on', 'x', 'is', 'equivalent', 'to', 'the', '2category', 'of', '2functors', 'from', 'ep_leq', '2xs', 'to', 'the', '2category', 'of', 'small', 'categories']] | [-0.18435814006608614, 0.03951490314466355, -0.08990864280018616, 0.11121853830991313, -0.09109322802925651, -0.06757275285516781, 0.02761943529846824, 0.33781379914249887, -0.36689601923254406, -0.17286991580410607, 0.04602556690885897, -0.18649627557236023, -0.14170971678157168, 0.16221712793445808, -0.276699724025093, -0.1346944850784811, 0.038381806955757464, 0.05600775672461499, -0.030607099038950928, -0.2555035489812409, 0.5102383437227797, -0.017171107862271707, 0.26757211302703415, 0.000964272402184592, 0.13732779809189113, -0.014820458325134083, 0.018475434359226547, 0.029936874766545687, -0.11998088929092111, 0.18491888568016954, 0.27997088885273447, 0.07831881166732108, 0.21652433902702548, -0.34268174857028166, -0.08876020295164463, 0.12208148887888952, 0.042598262463632804, 0.0252693003263134, 0.03855757815257344, -0.3351804867852479, 0.15082471107069234, -0.22266047083328225, -0.05780117307387462, -0.0511470446852565, 0.0881110605656762, -0.0038843405358916657, -0.21999333538538354, -0.11023454377639362, 0.12677104746795853, 0.12482988539109514, -0.07291580218588933, -0.049161718433341856, -0.1231971472311257, 0.050299835864941335, -0.05110967354002324, 0.08835716945098036, 0.1422136413801292, -0.12557132324648343, -0.07693456134637183, 0.4188812134618109, -0.08636260189020752, -0.1965617166662758, 0.15326094071563354, -0.07572482594564049, -0.14047064367067916, 0.12874674721917306, 0.031403488537762314, 0.2067222497214309, 0.01983511826620088, 0.1575152239099473, -0.20930210500955582, 0.10984525882469659, 0.07471006338230589, 0.020594350332182577, 0.13409888767637312, 0.18744640006810764, 0.07587517795830288, 0.14289491351651537, -0.03763721755769273, -0.02599379865304482, -0.3902374218556691, -0.25981715480288997, -0.02804587929858826, 0.1761536040655549, -0.03228560639317121, -0.23125613201938738, 0.34363823533798993, 0.125496591928161, 0.20002927456516773, 0.15155803257816428, 0.25737420020794327, -0.011649662198826925, 0.045230215563523496, -0.02772305874069306, 0.09615698048252273, 0.2593932743501765, 0.020882968317230487, -0.015531652286881581, -0.00268184133826501, 0.24694522890389303] |
708.066 | Network synchronizability analysis: the theory of subgraphs and
complementary graphs | In this paper, subgraphs and complementary graphs are used to analyze the
network synchronizability. Some sharp and attainable bounds are provided for
the eigenratio of the network structural matrix, which characterizes the
network synchronizability, especially when the network's corresponding graph
has cycles, chains, bipartite graphs or product graphs as its subgraphs.
| cs.NI cs.GR | in this paper subgraphs and complementary graphs are used to analyze the network synchronizability some sharp and attainable bounds are provided for the eigenratio of the network structural matrix which characterizes the network synchronizability especially when the networks corresponding graph has cycles chains bipartite graphs or product graphs as its subgraphs | [['in', 'this', 'paper', 'subgraphs', 'and', 'complementary', 'graphs', 'are', 'used', 'to', 'analyze', 'the', 'network', 'synchronizability', 'some', 'sharp', 'and', 'attainable', 'bounds', 'are', 'provided', 'for', 'the', 'eigenratio', 'of', 'the', 'network', 'structural', 'matrix', 'which', 'characterizes', 'the', 'network', 'synchronizability', 'especially', 'when', 'the', 'networks', 'corresponding', 'graph', 'has', 'cycles', 'chains', 'bipartite', 'graphs', 'or', 'product', 'graphs', 'as', 'its', 'subgraphs']] | [-0.2006493465217086, 0.07286206728495731, 0.025581127416123364, 0.09980821276001413, -0.04719442704820311, -0.1389718739516741, 0.049894372090313804, 0.4407179758829229, -0.3100599998644754, -0.2836809912879093, 0.172585153484297, -0.28765831697805255, -0.23697704736453792, 0.09654494652104582, -0.08773877155766183, 0.07678323615155201, 0.16299556413957594, 0.13418524434753493, 0.028201658863062952, -0.25996085977028854, 0.34903571038853887, 0.038392184320472034, 0.24883316512511788, 0.11250964717428182, 0.0016838857246672407, -0.034707289289537015, 0.021344906851357103, 0.0961697577138194, -0.18065464692007677, 0.15599859670699373, 0.2908318809726659, 0.169758499581732, 0.18737936697388982, -0.4611975985999201, -0.20157656245225786, 0.2781418490899252, 0.1223374066472638, 0.08347059921224546, 0.11751819439414962, -0.2985332986595584, 0.090109257283164, -0.11507945839091953, 0.017343311898716195, -0.08686840428751619, 0.015168912279620474, 0.053795708124251926, -0.2732920078743322, -0.016838127582827035, 0.11656740176327088, 0.03182883236520723, 0.08713819716335731, -0.13957826323423753, -0.050227494042951105, 0.19777201434115732, -0.04775373878724435, -0.028715507755074286, 0.09994437725411034, -0.14882934863642588, -0.17080170973477996, 0.3583535578321008, 0.018994907437659362, -0.13477039625685588, 0.13632152305103326, -0.09262180620548773, -0.19464902771527276, 0.06477332221088457, 0.18134485507228723, 0.08536455244300704, -0.16535113678529503, 0.05069444279012946, -0.041982624497191576, 0.0907652662409579, 0.10645661674732086, 0.0907964197937034, 0.06487178969580461, 0.20263629360581, 0.19364153409340218, 0.2450118720641031, 0.017407951839998655, -0.026413622896607016, -0.1745373768658907, -0.06186484186636174, -0.25674914187003, -0.01754130088888547, -0.27935988831221964, -0.19489350629851734, 0.4922405412676288, 0.06709400210164342, 0.18105201591171471, 0.16869594702981047, 0.20830435276387588, 0.054774248988513706, 0.05666889322410319, 0.16949823347157708, 0.18632844056963793, 0.2575714916136919, 0.08302655102064212, -0.12377431247310311, 0.14734222072030545, 0.10040315819502461] |
708.0661 | Decelerating Growth of Vertically Aligned Carbon Nanotube Arrays:
Kinetic Controlled or Diffusion Controlled? | Feedstock and byproduct diffusion in the root growth of aligned CNT arrays
was discussed in this work. A non-dimensional modulus was proposed to
differentiate catalyst-decay controlled growth deceleration from diffusion
controlled one. It was found that aligned MWNT arrays are usually free of
feedstock diffusion while SWNT arrays are usually facing strong diffusion
limit. The present method can also be utilized to predict the maximum length
that CNT forest can grow in certain CVD process.
| cond-mat.mtrl-sci cond-mat.other | feedstock and byproduct diffusion in the root growth of aligned cnt arrays was discussed in this work a nondimensional modulus was proposed to differentiate catalystdecay controlled growth deceleration from diffusion controlled one it was found that aligned mwnt arrays are usually free of feedstock diffusion while swnt arrays are usually facing strong diffusion limit the present method can also be utilized to predict the maximum length that cnt forest can grow in certain cvd process | [['feedstock', 'and', 'byproduct', 'diffusion', 'in', 'the', 'root', 'growth', 'of', 'aligned', 'cnt', 'arrays', 'was', 'discussed', 'in', 'this', 'work', 'a', 'nondimensional', 'modulus', 'was', 'proposed', 'to', 'differentiate', 'catalystdecay', 'controlled', 'growth', 'deceleration', 'from', 'diffusion', 'controlled', 'one', 'it', 'was', 'found', 'that', 'aligned', 'mwnt', 'arrays', 'are', 'usually', 'free', 'of', 'feedstock', 'diffusion', 'while', 'swnt', 'arrays', 'are', 'usually', 'facing', 'strong', 'diffusion', 'limit', 'the', 'present', 'method', 'can', 'also', 'be', 'utilized', 'to', 'predict', 'the', 'maximum', 'length', 'that', 'cnt', 'forest', 'can', 'grow', 'in', 'certain', 'cvd', 'process']] | [-0.08855075077027888, 0.21044454869587678, -0.004517838566538853, -0.007128796572327996, -0.06496892408845392, -0.1573085781954531, -0.03894311534807186, 0.4406149520387722, -0.32283547595520884, -0.2664074851955111, 0.10832879916494209, -0.25798249569708936, -0.14944461424759514, 0.20262677839806154, -0.036438214611513794, 0.03400823884294368, 0.057557618160530725, -0.021336362093082956, 0.04554053435001422, -0.25324043948392105, 0.19949658620297103, 0.10337275829216516, 0.38199585123692414, 0.058185723213780974, 0.04775455951489307, -0.05840700510511729, 0.0358294374561189, 0.08630585762344904, -0.18098436623935216, 0.09969667899044785, 0.22002309744523182, -0.0013887857942766434, 0.2139780665370258, -0.4439342755925011, -0.24175791442394257, 0.04752386689211267, 0.20644981059012935, 0.11937428727066396, -0.03800679687678034, -0.17648980587821556, 0.09854584232576795, -0.13383082823978887, -0.13228930278706388, 0.003373169163997109, -0.011899220002060002, 0.061525492533267404, -0.2625546137978499, 0.11102728645366025, 0.02007321504926359, -0.001010961176173107, -0.047070946393383516, -0.11156052834436146, -0.04646381687977024, 0.10032112340165956, 0.045494745931874435, 0.004993788319060931, 0.23921246814535227, -0.06982663492483364, -0.06936214667921131, 0.3546189362736973, -0.09609339025651885, -0.1919409786980297, 0.17465880628977273, -0.1616959045971492, -0.0776128960958984, 0.18017880874056671, 0.15021307942633694, 0.12100926393995413, -0.18429401719539956, 0.004107652231264305, 0.01834662354274376, 0.18460978876572806, 0.1754420813978524, -0.07034327408198167, 0.18158668751601834, 0.21423182812066296, 0.05316733823132676, 0.1552453482432316, -0.09853483162618973, -0.06052842626750872, -0.1911649901822612, -0.203257532211373, -0.22383570097814742, 0.09658181532820989, -0.09550284666644025, -0.19368594906267686, 0.3005975091993507, 0.13923682777110385, 0.17269093986455905, 0.005703283423507535, 0.22800193158154552, 0.107121934585676, 0.15037404267570456, -0.005361222888569574, 0.2571318996315067, 0.15923290780424518, 0.10456461078374067, -0.20574259593440974, 0.17544297063471498, 0.018482340207147237] |
708.0662 | Constraints on $f(R_{ijkl}R^{ijkl})$ gravity: An evidence against the
covariant resolution of the Pioneer anomaly | We consider corrections in the form of $\Delta L(R_{ijkl}R^{ijkl})$ to the
Einstein-Hilbert Lagrangian. Then we compute the corrections to the
Schwarszchild geometry due to the inclusion of this general term to the
Lagrangian. We show that $\Delta L_3=\alpha_{{1/3}}(R_{ijkl}R^{ijkl})^{{1/3}}$
gives rise to a constant anomalous acceleration for objects orbiting the Sun
onward the Sun. This leads to the conclusion that $\alpha_{{1/3}}=(13.91\pm
2.11) \times 10^{-26}(\frac{1}{\text{meters}})^{{2/3}}$ would have covariantly
resolved the Pioneer anomaly if this value of $\alpha_{{1/3}}$ had not
contradicted other observations.
We notice that the experimental bounds on $\Delta L_3$ grows stronger in case
we examine the deformation of the space-time geometry around objects lighter
than the Sun. We therefore use the high precision measurements around the Earth
(LAGEOS and LLR) and obtain a very strong constraint on the corrections in the
form of $\Delta L(R_{ijkl}R^{ijkl})$ and in particular $\Delta
L=\alpha_n(R_{ijkl}R^{ijkl})^n$. This bound requires
$\alpha_{{1/3}}\leq6.12\times 10^{-29}(\frac{1}{\text{meters}})^{{2/3}}$.
Therefore it refutes the covariant resolution of the Pioneer anomaly.
| gr-qc astro-ph hep-th | we consider corrections in the form of delta lr_ijklrijkl to the einsteinhilbert lagrangian then we compute the corrections to the schwarszchild geometry due to the inclusion of this general term to the lagrangian we show that delta l_3alpha_13r_ijklrijkl13 gives rise to a constant anomalous acceleration for objects orbiting the sun onward the sun this leads to the conclusion that alpha_131391pm 211 times 1026frac1textmeters23 would have covariantly resolved the pioneer anomaly if this value of alpha_13 had not contradicted other observations we notice that the experimental bounds on delta l_3 grows stronger in case we examine the deformation of the spacetime geometry around objects lighter than the sun we therefore use the high precision measurements around the earth lageos and llr and obtain a very strong constraint on the corrections in the form of delta lr_ijklrijkl and in particular delta lalpha_nr_ijklrijkln this bound requires alpha_13leq612times 1029frac1textmeters23 therefore it refutes the covariant resolution of the pioneer anomaly | [['we', 'consider', 'corrections', 'in', 'the', 'form', 'of', 'delta', 'lr_ijklrijkl', 'to', 'the', 'einsteinhilbert', 'lagrangian', 'then', 'we', 'compute', 'the', 'corrections', 'to', 'the', 'schwarszchild', 'geometry', 'due', 'to', 'the', 'inclusion', 'of', 'this', 'general', 'term', 'to', 'the', 'lagrangian', 'we', 'show', 'that', 'delta', 'l_3alpha_13r_ijklrijkl13', 'gives', 'rise', 'to', 'a', 'constant', 'anomalous', 'acceleration', 'for', 'objects', 'orbiting', 'the', 'sun', 'onward', 'the', 'sun', 'this', 'leads', 'to', 'the', 'conclusion', 'that', 'alpha_131391pm', '211', 'times', '1026frac1textmeters23', 'would', 'have', 'covariantly', 'resolved', 'the', 'pioneer', 'anomaly', 'if', 'this', 'value', 'of', 'alpha_13', 'had', 'not', 'contradicted', 'other', 'observations', 'we', 'notice', 'that', 'the', 'experimental', 'bounds', 'on', 'delta', 'l_3', 'grows', 'stronger', 'in', 'case', 'we', 'examine', 'the', 'deformation', 'of', 'the', 'spacetime', 'geometry', 'around', 'objects', 'lighter', 'than', 'the', 'sun', 'we', 'therefore', 'use', 'the', 'high', 'precision', 'measurements', 'around', 'the', 'earth', 'lageos', 'and', 'llr', 'and', 'obtain', 'a', 'very', 'strong', 'constraint', 'on', 'the', 'corrections', 'in', 'the', 'form', 'of', 'delta', 'lr_ijklrijkl', 'and', 'in', 'particular', 'delta', 'lalpha_nr_ijklrijkln', 'this', 'bound', 'requires', 'alpha_13leq612times', '1029frac1textmeters23', 'therefore', 'it', 'refutes', 'the', 'covariant', 'resolution', 'of', 'the', 'pioneer', 'anomaly']] | [-0.13376916061293295, 0.11978473813355374, -0.09109389704490178, 0.09158507398912544, -0.09239653647452796, -0.10003395007327706, 0.044198998659500714, 0.3018720211100061, -0.21272356124582137, -0.33710493180951495, 0.0602021153927559, -0.30371271290176477, -0.12520541525034068, 0.15539747899672218, -0.09080183075196079, -0.030218086024860338, 0.04006707554898497, 0.09138532413714597, -0.12549963126712965, -0.2211124720210273, 0.28172271511815233, 0.08909550969343201, 0.16313137202923578, 0.07421653255579524, 0.07130106000014308, -0.03592198301616702, -0.017772123984181556, 0.018689661733426, -0.15907720131652078, 0.0983986329147909, 0.15190337872335397, 0.07997385762492512, 0.1766428593546152, -0.4074164806630741, -0.18629737068791272, 0.10461643239290004, 0.12366923415197098, 0.09941159674682382, -0.004062322768237011, -0.2725824957157542, 0.09015805880399738, -0.140063165010707, -0.181193483591897, -0.03783046912249862, 0.06358342623452143, -0.08889437967366508, -0.25767926252478746, 0.089994783405544, 0.057180139819020724, 0.01280086984078647, -0.07169298821629412, -0.11428750121132883, 0.02342411235836493, 0.08347087197297183, 0.12704171762614808, 0.07451051284818827, 0.1045426431802564, -0.13270062970973195, -0.04726695001986968, 0.41503218269976627, -0.12692012308772455, -0.17033865020236597, 0.15891700449912827, -0.2276696791099448, -0.1680214962807997, 0.09557798860886065, 0.1479401962046011, 0.1409420652764843, -0.10850858028350892, 0.12147547233553578, -0.030755597579318294, 0.1476197137060214, 0.10618020379979189, 0.03137423425198526, 0.1939432349651545, 0.08267710682758618, 0.10490829680197346, 0.07336954170003293, -0.1383638842012353, -0.06089294186736248, -0.3279101911529924, -0.13899099195200226, -0.1120519341748892, 0.08795829148985664, -0.10778571771694186, -0.12022512404764464, 0.32280490418648994, 0.1944882843174598, 0.206355919525919, 0.045896184155527424, 0.27013425242003736, 0.12690127487563635, 0.10767274387149127, 0.0869130598457188, 0.33326972332992116, 0.1294345438455035, 0.11376165748070165, -0.25578984186737513, 0.002924675730510051, 0.07180189949537145] |
708.0663 | Bose-Einstein condensation of magnons in superfluid 3He | The possibility of Bose-Einstein condensation of excitations has been
discussed for a long time. The phenomenon of the phase-coherent precession of
magnetization in superfluid 3He and the related effects of spin superfluidity
are based on the true Bose-Einstein condensation of magnons. Several different
states of coherent precession has been observed in 3He-B: homogeneously
precessing domain (HPD); persistent signal formed by Q-balls at very low
temperatures; coherent precession with fractional magnetization; and two new
modes of the coherent precession in compressed aerogel. In compressed aerogel
the coherent precession has been also found in 3He-A. Here we demonstrate that
all these cases are examples of a Bose-Einstein condensation of magnons, with
the magnon interaction term in the Gross-Pitaevskii equation being provided by
different types of spin-orbit coupling in the background of the coherent
precession.
| cond-mat.other | the possibility of boseeinstein condensation of excitations has been discussed for a long time the phenomenon of the phasecoherent precession of magnetization in superfluid 3he and the related effects of spin superfluidity are based on the true boseeinstein condensation of magnons several different states of coherent precession has been observed in 3heb homogeneously precessing domain hpd persistent signal formed by qballs at very low temperatures coherent precession with fractional magnetization and two new modes of the coherent precession in compressed aerogel in compressed aerogel the coherent precession has been also found in 3hea here we demonstrate that all these cases are examples of a boseeinstein condensation of magnons with the magnon interaction term in the grosspitaevskii equation being provided by different types of spinorbit coupling in the background of the coherent precession | [['the', 'possibility', 'of', 'boseeinstein', 'condensation', 'of', 'excitations', 'has', 'been', 'discussed', 'for', 'a', 'long', 'time', 'the', 'phenomenon', 'of', 'the', 'phasecoherent', 'precession', 'of', 'magnetization', 'in', 'superfluid', '3he', 'and', 'the', 'related', 'effects', 'of', 'spin', 'superfluidity', 'are', 'based', 'on', 'the', 'true', 'boseeinstein', 'condensation', 'of', 'magnons', 'several', 'different', 'states', 'of', 'coherent', 'precession', 'has', 'been', 'observed', 'in', '3heb', 'homogeneously', 'precessing', 'domain', 'hpd', 'persistent', 'signal', 'formed', 'by', 'qballs', 'at', 'very', 'low', 'temperatures', 'coherent', 'precession', 'with', 'fractional', 'magnetization', 'and', 'two', 'new', 'modes', 'of', 'the', 'coherent', 'precession', 'in', 'compressed', 'aerogel', 'in', 'compressed', 'aerogel', 'the', 'coherent', 'precession', 'has', 'been', 'also', 'found', 'in', '3hea', 'here', 'we', 'demonstrate', 'that', 'all', 'these', 'cases', 'are', 'examples', 'of', 'a', 'boseeinstein', 'condensation', 'of', 'magnons', 'with', 'the', 'magnon', 'interaction', 'term', 'in', 'the', 'grosspitaevskii', 'equation', 'being', 'provided', 'by', 'different', 'types', 'of', 'spinorbit', 'coupling', 'in', 'the', 'background', 'of', 'the', 'coherent', 'precession']] | [-0.20895876277548572, 0.2990685598924756, -0.07965276450814793, 0.0571856261998288, -0.04232110837156969, -0.10006985658864406, -0.010771048752675679, 0.357008498151448, -0.2313850343784769, -0.23403233575465326, 0.026748906021098126, -0.2697774327966864, -0.047358654802806224, 0.22128295991216984, 0.03787453922753533, 0.048540966762547294, -0.028431752294471316, 0.011581008838909453, -0.05787740227110176, -0.21194295616199574, 0.3225251405894982, -0.04576831096214433, 0.30915490646536153, 0.05005328826761494, 0.09257823116301249, -0.050368754866984534, 0.08531544743075783, -0.027211455724310243, -0.14276312864730603, 0.01953503032079122, 0.24757160273932668, -0.054544610812709754, 0.16263405061820804, -0.47333613608145353, -0.2466153468880238, 0.046450177733221965, 0.20140387316364053, 0.23669887200054346, -0.07554845769967262, -0.3346218213043881, -0.016691404874577667, -0.21910453298496027, -0.13337242414920844, -0.1072323947605169, 0.09177564680011886, 0.03359901747369969, -0.1967600436822095, 0.13414386075733506, 0.11865960368816035, 0.07233360392803495, -0.09828431837641718, -0.08036624757347233, -0.0308110974288094, 0.020437387061644007, 0.09340573894565529, 0.02224300228496731, 0.09482020061378452, -0.13495353480913874, -0.14559184681892282, 0.3435126791821059, -0.11722678715137369, -0.13999198279447173, 0.1514695069988992, -0.23478643241987535, -0.04131985114178282, 0.18917848666508993, 0.14466944587448696, 0.11735156438115871, -0.14390786141368814, 0.02521159770924097, -0.05947315110825002, 0.140044286371752, 0.10718168154320058, 0.09818156050151271, 0.33066526385532186, 0.22098196578162693, -0.03034662836051377, 0.17235884011483216, -0.16552193615070515, -0.09751768458888611, -0.24489602176155048, -0.10634068279371907, -0.2206021060710279, 0.01881188873878934, -0.011991700951043502, -0.12090501133846401, 0.39065475596615934, 0.1135250217789276, 0.1522012192537218, -0.08795771389233062, 0.2889161924161299, 0.0960847253939419, 0.041306881216411115, 0.028444065338452205, 0.3185621567818364, 0.20853180679930092, 0.11258361942247685, -0.3213581785305657, 0.015447586894769109, -0.0022413716880802176] |
708.0664 | Shortnote on local hidden Grassmann variables vs. quantum correlations | Grassmannian local hidden variables are shown to generate all possible
quantum correlations in a bipartite quantum system. Grassmann representation of
fermions, common in field theory, opens a related perspective. Although
Grassmann hidden variables can not challange Bell's locality theorem, they can
become an interesting mathematical tool to investigate entanglement.
| quant-ph | grassmannian local hidden variables are shown to generate all possible quantum correlations in a bipartite quantum system grassmann representation of fermions common in field theory opens a related perspective although grassmann hidden variables can not challange bells locality theorem they can become an interesting mathematical tool to investigate entanglement | [['grassmannian', 'local', 'hidden', 'variables', 'are', 'shown', 'to', 'generate', 'all', 'possible', 'quantum', 'correlations', 'in', 'a', 'bipartite', 'quantum', 'system', 'grassmann', 'representation', 'of', 'fermions', 'common', 'in', 'field', 'theory', 'opens', 'a', 'related', 'perspective', 'although', 'grassmann', 'hidden', 'variables', 'can', 'not', 'challange', 'bells', 'locality', 'theorem', 'they', 'can', 'become', 'an', 'interesting', 'mathematical', 'tool', 'to', 'investigate', 'entanglement']] | [-0.1681099268826074, 0.20771491495816008, -0.14952702156733721, 0.16698936351652569, -0.1375267824914772, -0.24865781442107013, -0.00819428012133964, 0.3180609275392878, -0.34337180146637064, -0.24898754133998105, 0.012681881218062093, -0.2419624679411451, -0.20532913153147092, 0.1459681090588371, -0.12719777635841942, 0.0916465269595695, 0.01509573170915246, 0.08104633591816916, -0.07445115643956039, -0.29120734295186895, 0.26553823460805387, -0.011683564211125486, 0.2945175123556207, 0.02913609127669285, 0.09268217496961977, 0.061425120254474073, -0.02081429723572607, 0.01988993272728597, -0.031093904030664515, 0.1230608902599973, 0.33272953298486146, 0.17232462249618644, 0.24261560181427436, -0.434654627693817, -0.23094411658045524, 0.14494229895838848, 0.18080984945603026, 0.1730472621275112, 0.028794824315506656, -0.33204156839443993, -0.016178218870967005, -0.1353624144588442, -0.17060938806389458, -0.2170710404558728, -0.017685885664832313, -0.11681191841610901, -0.23006515937352864, 0.05013289803173393, 0.07460284814199743, 0.08996501367073506, 0.04466714111428397, -0.0676815263213939, -0.011674849656022465, 0.09650123654864728, -0.018681347311940044, 0.04908800193031008, 0.11020568839740008, -0.14182706569530032, -0.207780065597035, 0.3475504615344107, 0.029553295331425034, -0.25527401932534605, 0.20093002233140092, -0.06772947410354391, -0.2095888251302919, 0.03479545175408324, 0.14575747726485133, 0.07784883622662164, -0.20267774228705093, 0.11303369408900228, -0.12165405787527561, 0.18671184172853827, 0.04828530725596162, 0.1936886147595942, 0.2840274208768581, 0.031035101298281614, 0.044315823703072965, 0.16996287844570665, -0.0036982574577753744, -0.22921138568320507, -0.2916096023982391, -0.19330008094160198, -0.21772193354991032, 0.14526990793850322, -0.12327687651850283, -0.16410295613544199, 0.35991206869948655, 0.15910566426464356, 0.13173609264777042, -0.028121797872396808, 0.17272854941741875, 0.08381805241030331, 0.09210892714327201, 0.07781989407764438, 0.20028553882730193, 0.2659580901575585, 0.03263349935878068, -0.12705552836026376, 0.01825619836745318, 0.09584632593517502] |
708.0665 | Sisyphus cooling and amplification by a superconducting qubit | Laser cooling of the atomic motion paved the way for remarkable achievements
in the fields of quantum optics and atomic physics, including Bose-Einstein
condensation and the trapping of atoms in optical lattices. More recently
superconducting qubits were shown to act as artificial two-level atoms,
displaying Rabi oscillations, Ramsey fringes, and further quantum effects.
Coupling such qubits to resonators brought the superconducting circuits into
the realm of quantum electrodynamics (circuit QED). It opened the perspective
to use superconducting qubits as micro-coolers or to create a population
inversion in the qubit to induce lasing behavior of the resonator. Furthering
these analogies between quantum optical and superconducting systems we
demonstrate here Sisyphus cooling of a low frequency LC oscillator coupled to a
near-resonantly driven superconducting qubit. In the quantum optics setup the
mechanical degrees of freedom of an atom are cooled by laser driving the atom's
electronic degrees of freedom. Here the roles of the two degrees of freedom are
played by the LC circuit and the qubit's levels, respectively. We also
demonstrate the counterpart of the Sisyphus cooling, namely Sisyphus
amplification. Parallel to the experimental demonstration we analyze the system
theoretically and find quantitative agreement, which supports the
interpretation and allows us to estimate system parameters.
| cond-mat.supr-con | laser cooling of the atomic motion paved the way for remarkable achievements in the fields of quantum optics and atomic physics including boseeinstein condensation and the trapping of atoms in optical lattices more recently superconducting qubits were shown to act as artificial twolevel atoms displaying rabi oscillations ramsey fringes and further quantum effects coupling such qubits to resonators brought the superconducting circuits into the realm of quantum electrodynamics circuit qed it opened the perspective to use superconducting qubits as microcoolers or to create a population inversion in the qubit to induce lasing behavior of the resonator furthering these analogies between quantum optical and superconducting systems we demonstrate here sisyphus cooling of a low frequency lc oscillator coupled to a nearresonantly driven superconducting qubit in the quantum optics setup the mechanical degrees of freedom of an atom are cooled by laser driving the atoms electronic degrees of freedom here the roles of the two degrees of freedom are played by the lc circuit and the qubits levels respectively we also demonstrate the counterpart of the sisyphus cooling namely sisyphus amplification parallel to the experimental demonstration we analyze the system theoretically and find quantitative agreement which supports the interpretation and allows us to estimate system parameters | [['laser', 'cooling', 'of', 'the', 'atomic', 'motion', 'paved', 'the', 'way', 'for', 'remarkable', 'achievements', 'in', 'the', 'fields', 'of', 'quantum', 'optics', 'and', 'atomic', 'physics', 'including', 'boseeinstein', 'condensation', 'and', 'the', 'trapping', 'of', 'atoms', 'in', 'optical', 'lattices', 'more', 'recently', 'superconducting', 'qubits', 'were', 'shown', 'to', 'act', 'as', 'artificial', 'twolevel', 'atoms', 'displaying', 'rabi', 'oscillations', 'ramsey', 'fringes', 'and', 'further', 'quantum', 'effects', 'coupling', 'such', 'qubits', 'to', 'resonators', 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708.0666 | On the Planetary acceleration and the Rotation of the Earth | We have developed a model for the Earth rotation that gives a good account
(data) of the Earth astronomical parameters. These data can be compared with
the ones obtained using space-base telescopes. The expansion of the universe
has an impact on the rotation of planets, and in particular, the Earth. The
expansion of the universe causes an acceleration that is exhibited by all
planets.
| astro-ph | we have developed a model for the earth rotation that gives a good account data of the earth astronomical parameters these data can be compared with the ones obtained using spacebase telescopes the expansion of the universe has an impact on the rotation of planets and in particular the earth the expansion of the universe causes an acceleration that is exhibited by all planets | [['we', 'have', 'developed', 'a', 'model', 'for', 'the', 'earth', 'rotation', 'that', 'gives', 'a', 'good', 'account', 'data', 'of', 'the', 'earth', 'astronomical', 'parameters', 'these', 'data', 'can', 'be', 'compared', 'with', 'the', 'ones', 'obtained', 'using', 'spacebase', 'telescopes', 'the', 'expansion', 'of', 'the', 'universe', 'has', 'an', 'impact', 'on', 'the', 'rotation', 'of', 'planets', 'and', 'in', 'particular', 'the', 'earth', 'the', 'expansion', 'of', 'the', 'universe', 'causes', 'an', 'acceleration', 'that', 'is', 'exhibited', 'by', 'all', 'planets']] | [-0.10689182252815319, 0.15059158354230773, -0.12083016188135223, 0.05261154556166499, -0.06804439874129399, -0.007891988366960532, 0.0008525485616354715, 0.338475912513714, -0.18657818312446275, -0.3238401297657263, 0.11802058634237342, -0.29858809810072656, -0.08708706291185485, 0.2519884549990474, -0.03870766815389433, -0.01278009292270456, 0.1084369881936009, 0.03544047266422283, -0.05723822886301648, -0.27990305994356435, 0.28578062762048034, 0.14268153364814462, 0.1738502328535394, -0.017835793588014823, 0.10914150078869647, -0.09583169619538008, -0.013423044323211624, 0.011246596921294455, -0.13292858601914578, 0.1098934177545801, 0.18145224970528886, 0.16160902568686103, 0.1992188138029878, -0.43793455608898685, -0.23440849210416514, 0.08356219710087374, 0.12747039988873496, 0.09568934538771236, -0.08828353340412298, -0.2821269596498164, 0.03110934445072734, -0.18071916554537085, -0.1438710759098213, -0.05162484968997656, 0.03207381187923371, 0.02167406434281951, -0.2660833111417199, 0.044858286689434736, 0.038082868581460344, 0.08914276174018307, -0.1346280767124087, -0.11209323365123026, -0.015965089623239778, 0.1494029259663962, 0.10557154371839253, 0.004994603583500499, 0.0936742540086723, -0.08102198617000665, -0.06945971505982536, 0.48229661997821593, -0.11707315292756354, -0.10888553428507987, 0.1585706084493607, -0.21251346536778978, -0.09146157879796293, 0.11671425423599661, 0.15468508825593053, 0.09175849827154288, -0.15164020410664972, 0.09443198871662072, -0.027213976075429292, 0.1353513060935906, 0.05754860792131651, -0.006096271635402763, 0.27848751769061125, 0.16645981753171082, 0.03723781355213197, 0.06859846452864567, -0.18343148777808344, -0.03334061425208809, -0.2212459695865474, -0.15161830624417652, -0.1829844455120139, 0.0056196776706547965, -0.15577263231292213, -0.13364124744354436, 0.393274933927589, 0.16400899018885362, 0.2122635045310571, -0.004308351892090979, 0.28685303186140365, 0.09942789572394556, 0.11444272399539986, 0.07902168004315287, 0.3415164773958543, 0.07309412672775724, 0.09825722162892657, -0.22181156452833897, 0.1346491478117449, -0.00455839569783873] |
708.0667 | Nonmaximally entangled states can be better for multiple linear optical
teleportation | We investigate multiple linear optical teleportation in the
Knill-Laflamme-Milburn scheme with both maximally and nonmaximally entangled
states. We show that if the qubit is teleported several times via nonmaximally
entangled state then the errors introduced in the previous teleportations can
be corrected by the errors introduced in the following teleportations. This
effect is so strong that it leads to another interesting phenomenon, i.e., the
total probability of successful multiple linear optical teleportation is higher
for nonmaximally entangled states than maximally entangled states.
| quant-ph | we investigate multiple linear optical teleportation in the knilllaflammemilburn scheme with both maximally and nonmaximally entangled states we show that if the qubit is teleported several times via nonmaximally entangled state then the errors introduced in the previous teleportations can be corrected by the errors introduced in the following teleportations this effect is so strong that it leads to another interesting phenomenon ie the total probability of successful multiple linear optical teleportation is higher for nonmaximally entangled states than maximally entangled states | [['we', 'investigate', 'multiple', 'linear', 'optical', 'teleportation', 'in', 'the', 'knilllaflammemilburn', 'scheme', 'with', 'both', 'maximally', 'and', 'nonmaximally', 'entangled', 'states', 'we', 'show', 'that', 'if', 'the', 'qubit', 'is', 'teleported', 'several', 'times', 'via', 'nonmaximally', 'entangled', 'state', 'then', 'the', 'errors', 'introduced', 'in', 'the', 'previous', 'teleportations', 'can', 'be', 'corrected', 'by', 'the', 'errors', 'introduced', 'in', 'the', 'following', 'teleportations', 'this', 'effect', 'is', 'so', 'strong', 'that', 'it', 'leads', 'to', 'another', 'interesting', 'phenomenon', 'ie', 'the', 'total', 'probability', 'of', 'successful', 'multiple', 'linear', 'optical', 'teleportation', 'is', 'higher', 'for', 'nonmaximally', 'entangled', 'states', 'than', 'maximally', 'entangled', 'states']] | [-0.13476697557673947, 0.25886112434942865, -0.07706883478279385, 0.056284756947694935, 0.06739754866944944, -0.26577671295849653, 0.07261080677172442, 0.3911781785328214, -0.24250066257649805, -0.23784679562852876, 0.05712637053263124, -0.25452313013374805, -0.09438322030189561, 0.17872047896792248, -0.09280654654991473, 0.133973632127092, 0.10379024824445568, 0.020861539035672096, -0.059074197975328056, -0.31888791999109545, 0.3169775266745469, 0.020136870482507754, 0.3204377929384752, -0.011292199712110365, 0.10836159040379088, 0.042270782914739555, 0.048719887019748366, -0.029042098421330858, -0.030925448661103628, 0.08898850359809131, 0.26128262750486414, 0.14649289721486772, 0.27468656185764545, -0.413576172596616, -0.21093963389852788, 0.14681057419582474, 0.10168737718812758, 0.2510663431319522, 0.014800386012122944, -0.35003405482303807, 0.04122513191910779, -0.23167862263848868, -0.06577388858763365, -0.10283564199784362, 0.013402952028938183, -0.08090234424055713, -0.26699228255396207, 0.11247355682866239, 0.029624073553217074, -0.0726125253273583, 0.01749503802190103, -0.04170983577737721, -0.05997192334928891, 0.05603489634671771, -0.08075378451030701, 0.02152847046055263, 0.09897163418893952, -0.11059537991915443, -0.19536323959530308, 0.2959306113671784, -0.05072248580091116, -0.23658961370049994, 0.13164458071483617, -0.12466365152901811, -0.0954087624644361, 0.06334869372772008, 0.09360132573410959, 0.14310747445788144, -0.08428059555817305, -0.011985356000212317, -0.07898692292638304, 0.2310735405899766, 0.07018402937754262, 0.20160300784358165, 0.14828641999444767, 0.02270500688450184, 0.1262647983186492, 0.2415572884535167, -0.05465232823952669, -0.11239363757961589, -0.2818189412028892, -0.17714016538158786, -0.23389201064980247, 0.10757895408016516, -0.03422379739019628, -0.043261104774456924, 0.4013756355087513, 0.10164152912045943, 0.13652121113533744, -0.018190833529820892, 0.2909555774829464, 0.12010142856799974, 0.024851605284777357, 0.1082131265401386, 0.32368691492734886, 0.14802144215976046, 0.014176690111947587, -0.23970209260289443, 0.06051197437932942, 0.01204003025664062] |
708.0668 | Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge
Theory | We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2
massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI
term, supersymmetry is spontaneously broken at tree level (on the Coulomb
branch), leaving a pseudo-flat direction in the classical potential. This
vacuum degeneracy is removed once quantum corrections are taken into account.
Due to the SU(2) gauge dynamics, the effective potential exhibits a local
minimum at the dyon point, where not only supersymmetry but also U(1)_R
symmetry is broken, while a supersymmetric vacuum would be realized toward
infinity with the runaway behavior of the potential. This local minimum is
found to be parametrically long-lived. Interestingly, from a phenomenological
point of view, in this meta-stable vacuum the massive hypermultiplets inherent
in the theory play the role of the messenger fields in the gauge mediation
scenario, when the Standard Model gauge group is embedded into their flavor
symmetry.
| hep-th hep-ph | we consider an n2 supersymmetric su2 times u1 gauge theory with n_f2 massless flavors and a fayetiliopoulos fi term in the presence of the fi term supersymmetry is spontaneously broken at tree level on the coulomb branch leaving a pseudoflat direction in the classical potential this vacuum degeneracy is removed once quantum corrections are taken into account due to the su2 gauge dynamics the effective potential exhibits a local minimum at the dyon point where not only supersymmetry but also u1_r symmetry is broken while a supersymmetric vacuum would be realized toward infinity with the runaway behavior of the potential this local minimum is found to be parametrically longlived interestingly from a phenomenological point of view in this metastable vacuum the massive hypermultiplets inherent in the theory play the role of the messenger fields in the gauge mediation scenario when the standard model gauge group is embedded into their flavor symmetry | [['we', 'consider', 'an', 'n2', 'supersymmetric', 'su2', 'times', 'u1', 'gauge', 'theory', 'with', 'n_f2', 'massless', 'flavors', 'and', 'a', 'fayetiliopoulos', 'fi', 'term', 'in', 'the', 'presence', 'of', 'the', 'fi', 'term', 'supersymmetry', 'is', 'spontaneously', 'broken', 'at', 'tree', 'level', 'on', 'the', 'coulomb', 'branch', 'leaving', 'a', 'pseudoflat', 'direction', 'in', 'the', 'classical', 'potential', 'this', 'vacuum', 'degeneracy', 'is', 'removed', 'once', 'quantum', 'corrections', 'are', 'taken', 'into', 'account', 'due', 'to', 'the', 'su2', 'gauge', 'dynamics', 'the', 'effective', 'potential', 'exhibits', 'a', 'local', 'minimum', 'at', 'the', 'dyon', 'point', 'where', 'not', 'only', 'supersymmetry', 'but', 'also', 'u1_r', 'symmetry', 'is', 'broken', 'while', 'a', 'supersymmetric', 'vacuum', 'would', 'be', 'realized', 'toward', 'infinity', 'with', 'the', 'runaway', 'behavior', 'of', 'the', 'potential', 'this', 'local', 'minimum', 'is', 'found', 'to', 'be', 'parametrically', 'longlived', 'interestingly', 'from', 'a', 'phenomenological', 'point', 'of', 'view', 'in', 'this', 'metastable', 'vacuum', 'the', 'massive', 'hypermultiplets', 'inherent', 'in', 'the', 'theory', 'play', 'the', 'role', 'of', 'the', 'messenger', 'fields', 'in', 'the', 'gauge', 'mediation', 'scenario', 'when', 'the', 'standard', 'model', 'gauge', 'group', 'is', 'embedded', 'into', 'their', 'flavor', 'symmetry']] | [-0.1690563067673576, 0.2701985883559848, -0.07276615125454025, 0.12177401611624619, -0.05497480593066638, -0.17909748205569703, 0.024031332519756542, 0.308430632030505, -0.1904465219708289, -0.2730873560545263, 0.08231077072771871, -0.26592734148910896, -0.10974923405944315, 0.018566584071169134, -0.03168781701820773, -0.025720942870325204, -0.021620008175489525, 0.07484383804304216, -0.055515326951192503, -0.25021611374728875, 0.2847712255046018, 0.006364422544238731, 0.26102363040658416, 0.05312040831511285, 0.0828486950732675, -0.013738161791732768, 0.06244999917211714, -0.055782462747779905, -0.043988279807103785, 0.03573826388363412, 0.17348392281237224, -0.006146445500337525, 0.16086427339457518, -0.4510110530351591, -0.22471511939275293, 0.1411383993189708, 0.17589422256765974, 0.1684026986912559, -0.07533689766015167, -0.30583566951485264, 0.07665562019868452, -0.1587626615582367, -0.19127031212475226, -0.04561888098420686, -0.04587046903965144, -0.17941981508583138, -0.2823132215999067, 0.0919614944268567, -0.02374538383832115, 0.0480584519582227, -0.025706982235455058, -0.08056384539971782, -0.138590276620616, 0.05613880858556922, 0.1996337655339612, 0.0878764901147147, 0.15000543908049532, -0.23952474401468127, -0.09599053561502438, 0.43908034525318257, -0.06537788543797758, -0.19835146400608764, 0.12649363488581847, -0.1173095740767239, -0.1886966667039357, 0.1420504426620654, 0.10083666869241818, 0.10306760125071895, -0.12655999373834634, 0.2557801442796716, -0.00616961603117675, 0.15369270047957745, 0.043877041311194465, 0.05167333502939205, 0.31131943362758846, 0.12084976347958953, 0.07377541144470999, 0.11886272538570526, -0.00845927667545019, -0.16593077704803832, -0.41466073976792645, -0.10697187412073773, -0.12082721969414971, 0.10632483982695004, -0.12104113693555296, -0.12863754961232574, 0.38897803678298337, 0.11397184772125525, 0.16732279497618163, 0.011325444819541364, 0.22320138590274663, 0.13439328893279004, 0.12591983143946414, 0.013163756287736904, 0.26930433143213983, 0.11184871595026, 0.07051032096832152, -0.29373612187475906, -0.1266498051133525, 0.13402539398521185] |
708.0669 | Notes on quantization of symplectic vector spaces over finite fields | In these notes we construct a quantization functor, associating an Hilbert
space H(V) to a finite dimensional symplectic vector space V over a finite
field F_q. As a result, we obtain a canonical model for the Weil representation
of the symplectic group Sp(V). The main technical result is a proof of a
stronger form of the Stone-von Neumann theorem for the Heisenberg group over
F_q. Our result answers, for the case of the Heisenberg group, a question of
Kazhdan about the possible existence of a canonical Hilbert space attached to a
coadjoint orbit of a general unipotent group over F_q.
| math-ph math.MP math.RT | in these notes we construct a quantization functor associating an hilbert space hv to a finite dimensional symplectic vector space v over a finite field f_q as a result we obtain a canonical model for the weil representation of the symplectic group spv the main technical result is a proof of a stronger form of the stonevon neumann theorem for the heisenberg group over f_q our result answers for the case of the heisenberg group a question of kazhdan about the possible existence of a canonical hilbert space attached to a coadjoint orbit of a general unipotent group over f_q | [['in', 'these', 'notes', 'we', 'construct', 'a', 'quantization', 'functor', 'associating', 'an', 'hilbert', 'space', 'hv', 'to', 'a', 'finite', 'dimensional', 'symplectic', 'vector', 'space', 'v', 'over', 'a', 'finite', 'field', 'f_q', 'as', 'a', 'result', 'we', 'obtain', 'a', 'canonical', 'model', 'for', 'the', 'weil', 'representation', 'of', 'the', 'symplectic', 'group', 'spv', 'the', 'main', 'technical', 'result', 'is', 'a', 'proof', 'of', 'a', 'stronger', 'form', 'of', 'the', 'stonevon', 'neumann', 'theorem', 'for', 'the', 'heisenberg', 'group', 'over', 'f_q', 'our', 'result', 'answers', 'for', 'the', 'case', 'of', 'the', 'heisenberg', 'group', 'a', 'question', 'of', 'kazhdan', 'about', 'the', 'possible', 'existence', 'of', 'a', 'canonical', 'hilbert', 'space', 'attached', 'to', 'a', 'coadjoint', 'orbit', 'of', 'a', 'general', 'unipotent', 'group', 'over', 'f_q']] | [-0.21039475827477871, 0.07723666139077977, -0.14473899064585566, 0.03817399217397906, -0.10828035775572062, -0.09542535587679594, 0.03357245258055627, 0.29747862906893713, -0.31781539544463155, -0.16996343661099672, 0.05191084263729863, -0.19672747724747752, -0.09683039743453264, 0.23800946617266164, -0.17113169092684985, -0.035282707487931476, 0.07001312920590863, 0.1506927902251482, -0.15519858621119056, -0.31216892635799015, 0.40717496975325046, -0.03792000358458608, 0.2142174127837643, -0.01288393878377974, 0.14595468276645987, 0.0546002328954637, 0.008218339812010526, -0.04283669219905278, -0.11162247510859742, 0.14084266718302388, 0.3114080250263214, 0.019665752849541605, 0.28466704856604336, -0.33265934164635835, -0.1882874829880893, 0.1837498891633004, 0.12059731006622315, 0.05290010685741436, -0.024819858334958554, -0.32651198448380453, 0.07959925264120102, -0.23414285527542233, -0.1628534455690533, -0.06954424509778619, 0.05822302480810322, -0.06526335295289755, -0.2546523235552013, -0.025387180829420687, 0.14517747385427357, 0.1723876509233378, -0.10863898337353022, -0.08304916773340665, -0.012429221451748162, 0.08794319281587377, -0.034424491686513646, 0.12912103585433216, 0.05647560647688806, -0.056858178541078816, -0.08913124030455948, 0.4022988127171993, -0.10543278124067001, -0.22214395748451352, 0.09897910132072867, -0.15478863136842846, -0.15096708054072225, 0.09110448740189896, 0.11837622405262664, 0.11798459794372321, -0.017109001178760082, 0.21577882274985313, -0.21329831966620985, 0.07332496158778667, 0.058025638135150076, -0.013751021094503813, 0.09816299447789788, 0.08446962117217481, 0.10019100845325739, 0.10319217879325152, 0.032307706498540936, -0.06208367506565992, -0.4025762224197388, -0.24305756831541658, -0.1567095343582332, 0.1730218958313344, -0.12908456360455603, -0.18730016853660345, 0.4095032015372999, 0.0699154258001363, 0.18495402949600248, 0.11864274298772216, 0.20681850861757994, 0.06418792515643873, 0.04865538442041725, 0.03493605796713382, 0.0735996463522315, 0.29414339546114204, -0.03405152787338011, -0.1517486460879445, -0.08655191321158781, 0.25174288897775116] |
708.067 | Spectral and Dynamical Properties of Certain Random Jacobi Matrices with
Growing Parameters | In this paper, a family of random Jacobi matrices, with off-diagonal terms
that exhibit power-law growth, is studied. Since the growth of the randomness
is slower than that of these terms, it is possible to use methods applied in
the study of Schr\"odinger operators with random decaying potentials. A
particular result of the analysis is the existence of operators with
arbitrarily fast transport whose spectral measure is zero dimensional. The
results are applied to the infinite Gaussian $\beta$ Ensembles and their
spectral properties are analyzed.
| math.SP math-ph math.MP | in this paper a family of random jacobi matrices with offdiagonal terms that exhibit powerlaw growth is studied since the growth of the randomness is slower than that of these terms it is possible to use methods applied in the study of schrodinger operators with random decaying potentials a particular result of the analysis is the existence of operators with arbitrarily fast transport whose spectral measure is zero dimensional the results are applied to the infinite gaussian beta ensembles and their spectral properties are analyzed | [['in', 'this', 'paper', 'a', 'family', 'of', 'random', 'jacobi', 'matrices', 'with', 'offdiagonal', 'terms', 'that', 'exhibit', 'powerlaw', 'growth', 'is', 'studied', 'since', 'the', 'growth', 'of', 'the', 'randomness', 'is', 'slower', 'than', 'that', 'of', 'these', 'terms', 'it', 'is', 'possible', 'to', 'use', 'methods', 'applied', 'in', 'the', 'study', 'of', 'schrodinger', 'operators', 'with', 'random', 'decaying', 'potentials', 'a', 'particular', 'result', 'of', 'the', 'analysis', 'is', 'the', 'existence', 'of', 'operators', 'with', 'arbitrarily', 'fast', 'transport', 'whose', 'spectral', 'measure', 'is', 'zero', 'dimensional', 'the', 'results', 'are', 'applied', 'to', 'the', 'infinite', 'gaussian', 'beta', 'ensembles', 'and', 'their', 'spectral', 'properties', 'are', 'analyzed']] | [-0.10927937034079258, 0.1786113432225059, -0.08608119101537501, 0.058858693232211996, -0.009874463610022383, -0.1387737191775266, -0.03645637924235095, 0.37286580268512753, -0.24481949373422301, -0.22143395756206968, 0.13404217266806345, -0.28546553028418736, -0.16265368089079857, 0.18760318172109477, -0.0010180730708217358, 0.0783780259463717, 0.044352995856281587, 0.060523885926779576, -0.10151646847302533, -0.2591722047504257, 0.3605149086016943, 0.03617980488959481, 0.2616205967305338, 0.00872073005337049, 0.0365775954854839, -0.030921631454325773, -0.03420041395515642, 0.004615867258433034, -0.11195442819615196, 0.1518276138614644, 0.18771731071174144, 0.06479937004692414, 0.2636067111921661, -0.3598196386195281, -0.2263506585951237, 0.16622817396350642, 0.15804462607073433, 0.06761042675112977, -0.03297432443017469, -0.23442655534976545, 0.11667039533529211, -0.14256282063091502, -0.19373089912183145, -0.09636592047617716, 0.013728571880389662, 0.09365311861449085, -0.2966671941363636, 0.10893216507290215, 0.10676899396759622, 0.036731980423278666, -0.02756076195715543, -0.08704626946436132, 0.0038792749264222734, 0.0984390744501177, 0.08746325853280723, -0.015707640470389056, 0.07376235596397344, -0.08104473859977375, -0.11731401256230824, 0.3582211162915508, -0.09558288423046607, -0.22973934734130608, 0.2010128871359698, -0.167442864935626, -0.09592386385535492, 0.12071653448373956, 0.16625349351670593, 0.12066450917764622, -0.1580124701208928, 0.14311000936979648, -0.03750640743357294, 0.12682175303206725, 0.07541342282339054, 0.08182612208320814, 0.1096521736944423, 0.1030363104717039, 0.07331947684288025, 0.1573506931308657, -0.03563137691577568, -0.1273024599184282, -0.2800165960674777, -0.11911965440958738, -0.22507961421985836, 0.09502802931785803, -0.12469383591275854, -0.25341322260963567, 0.43452750790645095, 0.10380510115544038, 0.21167435006183735, 0.0711069895502399, 0.21732042121755726, 0.19757576992406564, 0.05893358412773951, 0.06425447963068591, 0.18642660160275065, 0.21343085949911791, 0.09078558597932844, -0.19813478569883633, 0.05932190219926484, 0.07447102361851755] |
708.0671 | Unparticle Physics and A_{FB}^b on the Z pole | An attempt has been made to address the 3\sigma anomaly of the
forward-backward asymmetry of b quark in LEP data via an unparticle sector. For
most part of the parameter space except certain particular regions, the anomaly
could not be explained away plausibly, when constraints from other LEP
observables are taken into account.
| hep-ph | an attempt has been made to address the 3sigma anomaly of the forwardbackward asymmetry of b quark in lep data via an unparticle sector for most part of the parameter space except certain particular regions the anomaly could not be explained away plausibly when constraints from other lep observables are taken into account | [['an', 'attempt', 'has', 'been', 'made', 'to', 'address', 'the', '3sigma', 'anomaly', 'of', 'the', 'forwardbackward', 'asymmetry', 'of', 'b', 'quark', 'in', 'lep', 'data', 'via', 'an', 'unparticle', 'sector', 'for', 'most', 'part', 'of', 'the', 'parameter', 'space', 'except', 'certain', 'particular', 'regions', 'the', 'anomaly', 'could', 'not', 'be', 'explained', 'away', 'plausibly', 'when', 'constraints', 'from', 'other', 'lep', 'observables', 'are', 'taken', 'into', 'account']] | [-0.10581880999412739, 0.14904485123269348, -0.08677919195604704, 0.1269800595165986, -0.14732534926876706, -0.15433526383537166, 0.032454289408084355, 0.3054522291388152, -0.26721960794013694, -0.2939563966092636, 0.08647455537542349, -0.2891702504898861, 0.021174112721434178, 0.15094103326774994, -0.013387537789794634, 0.01970071086584797, 0.050927459475373464, 0.031148604793860665, -0.020504224588567356, -0.23642632973222238, 0.3051724493732008, 0.0421025952860221, 0.18118342278384655, 0.1186505756780224, 0.03953461553066758, -0.03574604066615959, -0.05057765213104914, 0.025931691952414355, -0.07772909925442259, 0.012185346589968452, 0.24731071881471062, 0.1321790899932033, 0.13035471573085436, -0.43723401372795395, -0.1974659121709542, 0.19953248062926643, 0.1867316543423342, 0.08351744035750909, -0.029760139642880774, -0.37675767926112663, 0.04673218247612482, -0.17863559584959215, -0.09136053085116283, -0.07088039428839144, -0.028682129202797165, -0.1508931004494991, -0.30314916260716207, 0.06763199704505925, -0.008281702000015188, 0.02456055571026397, -0.03091210708074834, -0.21664840086661982, -0.07595438837021026, 0.0954142173753287, 0.16665516368482472, 0.04931895698438275, 0.12915905307152503, -0.18419760499008983, -0.14475948200121802, 0.39295741001952367, -0.0863749687032739, -0.1609032118236119, 0.13675279306458696, -0.23739324727991842, -0.19774645678523295, 0.13693610128050424, 0.16342341367436466, 0.018621473643436748, -0.25634828882587346, 0.17644415757144397, -0.047871814829842096, 0.14516170372096998, 0.02579732410574578, 0.03890313640377432, 0.2872805273476637, 0.12597100409450676, 0.05521445767075386, 0.06267080657548746, -0.13809807026618212, -0.04609898604312033, -0.38551581738832985, -0.0861637024736067, -0.0915463615454874, -0.012766938845194297, -0.059229653618597194, -0.03715670212429513, 0.32354138917201813, 0.12797293478166158, 0.3262012840231072, -0.06496127306501258, 0.2894502002745867, 0.14280644846412371, 0.15031755378772943, 0.03434204997248807, 0.3644369704965151, 0.08649414686380692, 0.10323613094833661, -0.18641113661633768, 0.10618464530111765, 0.04405036574791906] |
708.0672 | Comments on operators with large spin | We consider high spin operators. We give a general argument for the
logarithmic scaling of their anomalous dimensions which is based on the
symmetries of the problem. By an analytic continuation we can also see the
origin of the double logarithmic divergence in the Sudakov factor. We show that
the cusp anomalous dimension is the energy density for a flux configuration of
the gauge theory on $AdS_3 \times S^1$. We then focus on operators in ${\cal
N}=4$ super Yang Mills which carry large spin and SO(6) charge and show that in
a particular limit their properties are described in terms of a bosonic O(6)
sigma model. This can be used to make certain all loop computations in the
string theory.
| hep-th | we consider high spin operators we give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem by an analytic continuation we can also see the origin of the double logarithmic divergence in the sudakov factor we show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on ads_3 times s1 we then focus on operators in cal n4 super yang mills which carry large spin and so6 charge and show that in a particular limit their properties are described in terms of a bosonic o6 sigma model this can be used to make certain all loop computations in the string theory | [['we', 'consider', 'high', 'spin', 'operators', 'we', 'give', 'a', 'general', 'argument', 'for', 'the', 'logarithmic', 'scaling', 'of', 'their', 'anomalous', 'dimensions', 'which', 'is', 'based', 'on', 'the', 'symmetries', 'of', 'the', 'problem', 'by', 'an', 'analytic', 'continuation', 'we', 'can', 'also', 'see', 'the', 'origin', 'of', 'the', 'double', 'logarithmic', 'divergence', 'in', 'the', 'sudakov', 'factor', 'we', 'show', 'that', 'the', 'cusp', 'anomalous', 'dimension', 'is', 'the', 'energy', 'density', 'for', 'a', 'flux', 'configuration', 'of', 'the', 'gauge', 'theory', 'on', 'ads_3', 'times', 's1', 'we', 'then', 'focus', 'on', 'operators', 'in', 'cal', 'n4', 'super', 'yang', 'mills', 'which', 'carry', 'large', 'spin', 'and', 'so6', 'charge', 'and', 'show', 'that', 'in', 'a', 'particular', 'limit', 'their', 'properties', 'are', 'described', 'in', 'terms', 'of', 'a', 'bosonic', 'o6', 'sigma', 'model', 'this', 'can', 'be', 'used', 'to', 'make', 'certain', 'all', 'loop', 'computations', 'in', 'the', 'string', 'theory']] | [-0.1461410830631697, 0.15769331923717497, -0.07339308446195597, 0.11044605422163538, -0.03545867986589049, -0.087525901326444, 0.01882430341647705, 0.32605371583874027, -0.18107572745454187, -0.25002666818909347, 0.10256382706478083, -0.27796640728289884, -0.18126149213251969, 0.14801657441809463, -0.04272008544066921, 0.035220499398807684, -0.0246232371389245, 0.08814050828417143, -0.12181516346754506, -0.2506533727661008, 0.32985958515976865, 0.004395187475408117, 0.24770504236221313, 0.09761381000862457, 0.09581106131275495, 0.009422987918757524, 0.0002813151067433258, 0.010149984643794597, -0.13472889020983228, 0.13257771781839742, 0.2004980774431412, 0.04816629993535268, 0.145796106402607, -0.45699176713824274, -0.1857102482696064, 0.0785887902835384, 0.16132170835432286, 0.11164468245988246, 0.006428518255900902, -0.23517646168281015, 0.0773111343170361, -0.19576401530454557, -0.19747518692844704, -0.10924811967803787, 0.030213125116036584, -0.04450033994702001, -0.2572105302029134, 0.09799370075124898, 0.06630793162621558, 0.021819117572158576, -0.03051210956570382, -0.07487355727062095, -0.03999809118298193, 0.07572167082980741, 0.07693884757651782, 0.054088094593801844, 0.1016198916787592, -0.1864211403784187, -0.15666721686914872, 0.3321028934442438, -0.0919136420590803, -0.23630110058002174, 0.13983321077539584, -0.20468993133011584, -0.18355671156896278, 0.07654690831356371, 0.14466123414846757, 0.1537077812749582, -0.11297147022560239, 0.2075989121872529, -0.07548203948826995, 0.1318159001413733, 0.06643915730334508, 0.0484449571488464, 0.18145021744227657, 0.09758989999342399, 0.06008298961290469, 0.1435156879548837, -0.05962062158893484, -0.08995849607745185, -0.3622143016196787, -0.1554826723683315, -0.11773950147229091, 0.11665280753125747, -0.14065067609747833, -0.16568308719433844, 0.35740187727302936, 0.11767828778441375, 0.2264353630191181, 0.046441054920433086, 0.19325056709349156, 0.20535881254666796, 0.07455382300540805, 0.0838387136774448, 0.23209253974297706, 0.14061622634568874, 0.04875163201165075, -0.2560786298359744, -0.08110829686047509, 0.16143655330912832] |
708.0673 | Structures of the reduced niobium oxides Nb12O29 and Nb22O54 | The crystal structure of Nb22O54 is reported for the first time, and the
structure of orthorhombic Nb12O29 is reexamined, resolving previous
ambiguities. Single crystal x-ray and electron diffraction were employed. These
compounds were found to crystallize in the space groups P2/m (a = 15.7491(2) A,
b = 3.8236(3) A, c = 17.8521(2) A, beta = 102.029(3)) and Cmcm (a = 3.8320(2)
A, b = 20.7400(9) A, c = 28.8901(13) A) respectively and share a common
structural unit, a 4x3 block of corner sharing NbO6 octahedra. Despite
different constraints imposed by symmetry these blocks are very similar in both
compounds. Within a block, it is found that the niobium atoms are not located
in the centers of the oxygen octahedra, but rather are displaced inward toward
the center of the block forming an apparent antiferroelectric state. Bond
valence sums and bond lengths do not show the presence of charge ordering,
suggesting that all 4d electrons are delocalized in these compounds at the
temperature studied, T = 200 K.
| cond-mat.mtrl-sci | the crystal structure of nb22o54 is reported for the first time and the structure of orthorhombic nb12o29 is reexamined resolving previous ambiguities single crystal xray and electron diffraction were employed these compounds were found to crystallize in the space groups p2m a 1574912 a b 382363 a c 1785212 a beta 1020293 and cmcm a 383202 a b 2074009 a c 28890113 a respectively and share a common structural unit a 4x3 block of corner sharing nbo6 octahedra despite different constraints imposed by symmetry these blocks are very similar in both compounds within a block it is found that the niobium atoms are not located in the centers of the oxygen octahedra but rather are displaced inward toward the center of the block forming an apparent antiferroelectric state bond valence sums and bond lengths do not show the presence of charge ordering suggesting that all 4d electrons are delocalized in these compounds at the temperature studied t 200 k | [['the', 'crystal', 'structure', 'of', 'nb22o54', 'is', 'reported', 'for', 'the', 'first', 'time', 'and', 'the', 'structure', 'of', 'orthorhombic', 'nb12o29', 'is', 'reexamined', 'resolving', 'previous', 'ambiguities', 'single', 'crystal', 'xray', 'and', 'electron', 'diffraction', 'were', 'employed', 'these', 'compounds', 'were', 'found', 'to', 'crystallize', 'in', 'the', 'space', 'groups', 'p2m', 'a', '1574912', 'a', 'b', '382363', 'a', 'c', '1785212', 'a', 'beta', '1020293', 'and', 'cmcm', 'a', '383202', 'a', 'b', '2074009', 'a', 'c', '28890113', 'a', 'respectively', 'and', 'share', 'a', 'common', 'structural', 'unit', 'a', '4x3', 'block', 'of', 'corner', 'sharing', 'nbo6', 'octahedra', 'despite', 'different', 'constraints', 'imposed', 'by', 'symmetry', 'these', 'blocks', 'are', 'very', 'similar', 'in', 'both', 'compounds', 'within', 'a', 'block', 'it', 'is', 'found', 'that', 'the', 'niobium', 'atoms', 'are', 'not', 'located', 'in', 'the', 'centers', 'of', 'the', 'oxygen', 'octahedra', 'but', 'rather', 'are', 'displaced', 'inward', 'toward', 'the', 'center', 'of', 'the', 'block', 'forming', 'an', 'apparent', 'antiferroelectric', 'state', 'bond', 'valence', 'sums', 'and', 'bond', 'lengths', 'do', 'not', 'show', 'the', 'presence', 'of', 'charge', 'ordering', 'suggesting', 'that', 'all', '4d', 'electrons', 'are', 'delocalized', 'in', 'these', 'compounds', 'at', 'the', 'temperature', 'studied', 't', '200', 'k']] | [-0.16708386286472282, 0.22327065104395538, -0.011459482757685085, 0.00970010926714167, -0.0185945078295966, -0.15245676316010456, 0.11428667077794671, 0.4499676193296909, -0.2810952094942331, -0.2321733062590162, 0.05391066974028945, -0.338899106439203, -0.06863439628854394, 0.08842496294295416, 0.03008072731861224, -0.012800646930312116, -0.0021360744656218835, 0.02362389235602071, -0.13406126832123846, -0.21247312484619518, 0.22617412865472336, 0.04006515198076765, 0.27947416838568945, 0.02443972704000771, 0.02889922245716055, -0.0389242367601643, 0.059032436683773996, 0.024498052463362303, -0.11187589065220284, 0.10700325213062266, 0.26073926262867947, -0.022037205683688322, 0.19843324747557442, -0.4233146130169431, -0.20499061829973167, 0.005425097717282673, 0.13194736217459044, 0.09412136557201545, -0.0667741603590548, -0.22770645070821047, 0.07795796329155565, -0.11048282467139264, -0.1213623977297296, -0.03855193010220925, 0.007676266049966216, -0.008212679151135186, -0.23414392044534907, 0.09252702640059093, 0.07091358367819339, 0.093332893922925, -0.11084538693074136, -0.17729804290769, -0.10385907376185059, 0.07426953340570132, 0.03669377940551688, 0.06580665293770532, 0.15116657191344227, -0.04346587851488342, -0.08956988925735156, 0.43221693775306147, 0.03433938886582231, -0.08170823905306558, 0.1757417766066889, -0.21044958444001774, -0.14153106827599307, 0.176580578830714, 0.0638363129265296, 0.10932175381363778, -0.1302140491711907, 0.0816233213909436, -0.05999610859900713, 0.17447757460332164, 0.11892139524687081, 0.049135591209245225, 0.24257293848631284, 0.12420744394961124, 0.041629740845722456, 0.1190665920819932, -0.11078583163830141, -0.05284329023522635, -0.22894501274451615, -0.17104297373870697, -0.16482368847161222, 0.012622076061282617, -0.09369309334656767, -0.1693444130026425, 0.3361037130902211, 0.033223899002963055, 0.21598721729281048, -0.04707435651371877, 0.16965040349634364, 0.0029456318852802118, 0.14233300088206305, 0.06831357411108911, 0.21467836033863327, 0.15138074334555615, 0.0913316771077613, -0.2443703170089672, 0.09621929430092374, 0.03173950579017401] |
708.0674 | Emission Lines in X-ray Spectra of Clusters of Galaxies | Emission lines in X-ray spectra of clusters of galaxies reveal the presence
of heavy elements in the diffuse hot plasma (the Intra Cluster Medium, or ICM)
in virial equilibrium in the dark matter potential well. The relatively simple
physical state of the ICM allows us to estimate, with good accuracy, its
thermodynamical properties and chemical abundances. These measures put strong
constraints on the interaction processes between the galaxies and the
surrounding medium, and have significant impact on models of galaxy formation
as well. This field is rapidly evolving thanks to the X-ray satellites Chandra
and XMM-Newton. Among the most relevant progresses in the last years, we
briefly discuss the nature of cool cores and the measure of the Iron abundance
in high redshift clusters. Future X-ray missions with bolometers promise to
provide a substantial step forward to a more comprehensive understanding of the
complex physics of the ICM.
| astro-ph | emission lines in xray spectra of clusters of galaxies reveal the presence of heavy elements in the diffuse hot plasma the intra cluster medium or icm in virial equilibrium in the dark matter potential well the relatively simple physical state of the icm allows us to estimate with good accuracy its thermodynamical properties and chemical abundances these measures put strong constraints on the interaction processes between the galaxies and the surrounding medium and have significant impact on models of galaxy formation as well this field is rapidly evolving thanks to the xray satellites chandra and xmmnewton among the most relevant progresses in the last years we briefly discuss the nature of cool cores and the measure of the iron abundance in high redshift clusters future xray missions with bolometers promise to provide a substantial step forward to a more comprehensive understanding of the complex physics of the icm | [['emission', 'lines', 'in', 'xray', 'spectra', 'of', 'clusters', 'of', 'galaxies', 'reveal', 'the', 'presence', 'of', 'heavy', 'elements', 'in', 'the', 'diffuse', 'hot', 'plasma', 'the', 'intra', 'cluster', 'medium', 'or', 'icm', 'in', 'virial', 'equilibrium', 'in', 'the', 'dark', 'matter', 'potential', 'well', 'the', 'relatively', 'simple', 'physical', 'state', 'of', 'the', 'icm', 'allows', 'us', 'to', 'estimate', 'with', 'good', 'accuracy', 'its', 'thermodynamical', 'properties', 'and', 'chemical', 'abundances', 'these', 'measures', 'put', 'strong', 'constraints', 'on', 'the', 'interaction', 'processes', 'between', 'the', 'galaxies', 'and', 'the', 'surrounding', 'medium', 'and', 'have', 'significant', 'impact', 'on', 'models', 'of', 'galaxy', 'formation', 'as', 'well', 'this', 'field', 'is', 'rapidly', 'evolving', 'thanks', 'to', 'the', 'xray', 'satellites', 'chandra', 'and', 'xmmnewton', 'among', 'the', 'most', 'relevant', 'progresses', 'in', 'the', 'last', 'years', 'we', 'briefly', 'discuss', 'the', 'nature', 'of', 'cool', 'cores', 'and', 'the', 'measure', 'of', 'the', 'iron', 'abundance', 'in', 'high', 'redshift', 'clusters', 'future', 'xray', 'missions', 'with', 'bolometers', 'promise', 'to', 'provide', 'a', 'substantial', 'step', 'forward', 'to', 'a', 'more', 'comprehensive', 'understanding', 'of', 'the', 'complex', 'physics', 'of', 'the', 'icm']] | [-0.054537382474754356, 0.11437291998063794, -0.08724871582376796, 0.09236166318500968, -0.09435228819131374, -0.020512044791610458, 0.07214267485825396, 0.42077411429302114, -0.1993052700787745, -0.34622985194751843, 0.030280409127511586, -0.3261750024111943, -0.012283655417205237, 0.1750893821118626, 0.02503201676960531, 0.011461513478393867, 0.04792644005784815, -0.060748849919725, -0.038853984429069156, -0.28154587549584364, 0.2938792923169613, 0.12702595182329518, 0.20709383811304546, 0.06966164591564872, 0.045994984999148024, -0.05862016393488424, -0.0867412364821428, -0.003934973775333649, -0.11321835861255405, 0.07576539437050579, 0.2330779491598937, 0.10362419488405608, 0.24152155362252095, -0.44136961681667614, -0.2689681361253197, 0.07535567578255527, 0.16983061405040348, 0.029297655958027857, -0.09782442879736049, -0.2837853150794635, 0.02047475335240125, -0.1823218305079216, -0.17526325090737963, -0.013576871203415952, 0.027909985675029707, 0.05729832441067776, -0.1621087579846357, 0.1225309850100579, -0.004091597320291692, 0.03368417004349868, -0.11912440984373018, -0.08947790570469019, -0.015130879860874769, 0.11505283071263064, 0.033966777985443584, 0.01408794742216029, 0.19681960991520836, -0.18707753269385696, -0.014024137226688499, 0.4421816353522543, -0.05983035810405036, 0.003634922344841667, 0.2752856901355994, -0.2126188722306963, -0.20160866236767253, 0.10038763242836639, 0.18453424963219142, 0.06550196794214079, -0.1521923911468302, 0.04004070331536019, -0.01106559475443351, 0.19143445774082196, 0.009318636890777663, 0.1028176638632234, 0.3188051040240287, 0.16213553136047856, 0.050593867618747915, 0.11345424367676527, -0.15201623082267926, -0.049102719769360044, -0.21530363887447762, -0.1486315413604717, -0.08605251231897823, 0.033427692589513655, -0.14097530678859707, -0.15279273038755195, 0.36072292353924856, 0.1406423889880849, 0.21819164153389833, -0.03499005366953694, 0.3415081990580704, 0.06418424095829471, 0.059890700073919036, 0.08043784552845298, 0.30413065398917405, 0.23889281021783482, 0.11978679275253436, -0.2519037650671561, 0.0797949257004704, -0.019804354941132606] |
708.0675 | Vector field theories in cosmology | Recently proposed theories based on the cosmic presence of a vectorial field
are compared and contrasted. In particular the so called Einstein aether theory
is discussed in parallel with a recent proposal of a strained space-time theory
(Cosmic Defect theory). We show that the latter fits reasonably well the cosmic
observed data with only one, or at most two, adjustable parameters, whilst
other vector theories use much more. The Newtonian limits are also compared.
Finally we show that the CD theory may be considered as a special case of the
aether theories, corresponding to a more compact and consistent paradigm.
| gr-qc | recently proposed theories based on the cosmic presence of a vectorial field are compared and contrasted in particular the so called einstein aether theory is discussed in parallel with a recent proposal of a strained spacetime theory cosmic defect theory we show that the latter fits reasonably well the cosmic observed data with only one or at most two adjustable parameters whilst other vector theories use much more the newtonian limits are also compared finally we show that the cd theory may be considered as a special case of the aether theories corresponding to a more compact and consistent paradigm | [['recently', 'proposed', 'theories', 'based', 'on', 'the', 'cosmic', 'presence', 'of', 'a', 'vectorial', 'field', 'are', 'compared', 'and', 'contrasted', 'in', 'particular', 'the', 'so', 'called', 'einstein', 'aether', 'theory', 'is', 'discussed', 'in', 'parallel', 'with', 'a', 'recent', 'proposal', 'of', 'a', 'strained', 'spacetime', 'theory', 'cosmic', 'defect', 'theory', 'we', 'show', 'that', 'the', 'latter', 'fits', 'reasonably', 'well', 'the', 'cosmic', 'observed', 'data', 'with', 'only', 'one', 'or', 'at', 'most', 'two', 'adjustable', 'parameters', 'whilst', 'other', 'vector', 'theories', 'use', 'much', 'more', 'the', 'newtonian', 'limits', 'are', 'also', 'compared', 'finally', 'we', 'show', 'that', 'the', 'cd', 'theory', 'may', 'be', 'considered', 'as', 'a', 'special', 'case', 'of', 'the', 'aether', 'theories', 'corresponding', 'to', 'a', 'more', 'compact', 'and', 'consistent', 'paradigm']] | [-0.09295756567036734, 0.13087576969875955, -0.0728379841754213, 0.1022775689570699, -0.08237432011868805, -0.16017651882488282, -0.050121612311340866, 0.356406619399786, -0.1914723162248265, -0.2643311391584575, 0.07761626318795606, -0.26883896907558663, -0.17560493152588605, 0.21204736293992027, -0.038524486443493516, 0.013223609166452661, 0.005064288158901036, 0.09742237805970945, -0.07219383359421044, -0.25779685939662156, 0.3014340307191014, 0.09325299049727619, 0.2941312616225332, 0.007358275395818055, 0.07121140850824303, -0.02338952906895429, -0.041330175464972856, 0.12158671122509986, -0.10479697072019917, 0.1309666091785766, 0.19079364742618055, 0.09977295016869903, 0.20271921677514912, -0.45211836861446497, -0.2819128125719726, 0.06130561732687056, 0.13299897698685526, 0.14566089445725083, -0.06572331029718043, -0.26423780573299155, 0.08394674907904118, -0.18777296589687467, -0.1281784058827907, -0.051441406989470126, -0.01827211298397742, -0.013559863045811653, -0.23108847303315996, 0.062213614661886824, 0.01253822710015811, 0.01246763818897307, -0.10971863839309663, -0.08995986602996708, -0.03329613337991759, 0.010726827990729361, 0.10572517893975601, 0.09549162873532623, 0.10872072723694146, -0.1417280235514045, -0.1427157704369165, 0.43248153243213894, -0.11150282137386966, -0.21404410074464977, 0.18812421111389996, -0.14994208282791077, -0.17231226746924222, 0.0511860121472273, 0.09681411196477711, 0.15330091842857654, -0.11300061444751919, 0.11930860151420347, -0.03574212328530848, 0.15625244228169322, 0.06597013490274549, 0.04527196122333407, 0.24617397443391384, 0.1269634015765041, 0.03909024835564196, 0.0692255900701275, -0.048164476852398365, -0.11671819936484099, -0.33960884271189573, -0.12002516674809158, -0.14503900885116308, 0.0059180952538736165, -0.10649370519415242, -0.1517527499049902, 0.32709464311599734, 0.14624221706413665, 0.17935987936798484, 0.05855775958159939, 0.27307526057586073, 0.09026534767472186, 0.06700425755232572, 0.06657845346722752, 0.311240493170917, 0.15918417216278613, 0.07306512793991715, -0.1547038593306206, -0.004105140281608328, 0.03359689187956974] |
708.0676 | Mosaic spin models with topological order | We study a class of two-dimensional spin models with the Kitaev-type
couplings in mosaic structure lattices to implement topological orders. We show
that they are exactly solvable by reducing them to some free Majorana fermion
models with gauge symmetries. The typical case with a 4-8-8 close packing is
investigated in detail to display the quantum phases with Abelian and
non-Abelian anyons. Its topological properties characterized by Chern numbers
are revealed through the edge modes of its spectrum.
| cond-mat.str-el quant-ph | we study a class of twodimensional spin models with the kitaevtype couplings in mosaic structure lattices to implement topological orders we show that they are exactly solvable by reducing them to some free majorana fermion models with gauge symmetries the typical case with a 488 close packing is investigated in detail to display the quantum phases with abelian and nonabelian anyons its topological properties characterized by chern numbers are revealed through the edge modes of its spectrum | [['we', 'study', 'a', 'class', 'of', 'twodimensional', 'spin', 'models', 'with', 'the', 'kitaevtype', 'couplings', 'in', 'mosaic', 'structure', 'lattices', 'to', 'implement', 'topological', 'orders', 'we', 'show', 'that', 'they', 'are', 'exactly', 'solvable', 'by', 'reducing', 'them', 'to', 'some', 'free', 'majorana', 'fermion', 'models', 'with', 'gauge', 'symmetries', 'the', 'typical', 'case', 'with', 'a', '488', 'close', 'packing', 'is', 'investigated', 'in', 'detail', 'to', 'display', 'the', 'quantum', 'phases', 'with', 'abelian', 'and', 'nonabelian', 'anyons', 'its', 'topological', 'properties', 'characterized', 'by', 'chern', 'numbers', 'are', 'revealed', 'through', 'the', 'edge', 'modes', 'of', 'its', 'spectrum']] | [-0.19692817896411016, 0.28362369967939016, -0.03125800945275983, 0.05659621476661414, -0.06202124838124622, -0.19160728449872755, 0.02938024198950885, 0.4147125596253129, -0.2470050363917835, -0.29558273098556637, 0.06035739232411052, -0.2881677964484537, -0.16573863882910123, 0.13856400984835315, 0.022429198463403546, 0.04872734138179667, -0.016453204198752517, 0.024358151861551134, -0.101171297627477, -0.29860924435598024, 0.29085907975647163, -0.03590442169633053, 0.260589444628832, 0.019027872355775785, 0.03284999052691576, -0.025609996871321233, 0.0443404091691429, 0.03618422936793272, -0.1748295607527774, 0.07956688104850518, 0.23923617415555357, -0.06187754151012216, 0.10926036158419371, -0.40568657947534864, -0.21766246139229117, 0.08565526980568063, 0.1014231765981425, 0.11664211540785316, -0.0400470306117136, -0.3356811943760311, 0.11568960530211689, -0.19088294857193705, -0.16397816657735784, -0.13173660614177005, -0.0048928430376501825, -0.02028504611815435, -0.17125772128513614, 0.04628094993289802, 0.029305179567112552, 0.08072439243187546, -0.009777904061794088, -0.07192327276283464, -0.09445620236265195, 0.06449616504470249, 0.053676976287108547, -0.0661566472618369, 0.06295452854753315, -0.19951216866830726, -0.2001205450891481, 0.4277126650778008, -0.026098351042669315, -0.211464755820691, 0.2186961849099146, -0.14615397833536423, -0.1295462397544028, 0.11434779627635688, 0.07051115270171847, 0.08437707724182733, -0.060035395170652685, 0.14315692872313976, -0.07348957989219722, 0.1347423923873137, 0.0016020705209827267, 0.09128091594978392, 0.27680198140684276, 0.10913754921019464, 0.047020065924757486, 0.21810628862011355, -0.045534854516305345, -0.11637280190170005, -0.2502490747478101, -0.1626936330326966, -0.21820063278224175, 0.06811821261154753, -0.034166803392815984, -0.17379224617880853, 0.4671777116933039, 0.10443635245440407, 0.18682984912816386, 0.02779228002582858, 0.18935490612775185, 0.126902389993238, 0.09471625413794021, 0.0662813389782685, 0.1719183371082559, 0.1900167611560651, -0.000981605194460649, -0.2273427939538348, -0.07945135583520516, 0.12034553567109352] |
708.0677 | Observables IV: The presheaf perspective | In this fourth of our series of papers on observables we show that one can
associate to each von Neumann algebra R a pair of isomorphic presheaves, the
upper presheaf O^{+}_{R} and the lower presheaf O^{-}_{R}, on the category of
abelian von Neumann subalgebras of R. Each $A \in R_{sa}$ induces a global
section of O^{+}_{R} and of O^{-}_{R} respectively. We call them \emph
{contextual observables}. But we show that, in general, not every global
section of these presheaves arises in this way. Moreover, we discuss states of
a von Neumann algebra in the presheaf context.
| math-ph math.MP math.OA quant-ph | in this fourth of our series of papers on observables we show that one can associate to each von neumann algebra r a pair of isomorphic presheaves the upper presheaf o_r and the lower presheaf o_r on the category of abelian von neumann subalgebras of r each a in r_sa induces a global section of o_r and of o_r respectively we call them emph contextual observables but we show that in general not every global section of these presheaves arises in this way moreover we discuss states of a von neumann algebra in the presheaf context | [['in', 'this', 'fourth', 'of', 'our', 'series', 'of', 'papers', 'on', 'observables', 'we', 'show', 'that', 'one', 'can', 'associate', 'to', 'each', 'von', 'neumann', 'algebra', 'r', 'a', 'pair', 'of', 'isomorphic', 'presheaves', 'the', 'upper', 'presheaf', 'o_r', 'and', 'the', 'lower', 'presheaf', 'o_r', 'on', 'the', 'category', 'of', 'abelian', 'von', 'neumann', 'subalgebras', 'of', 'r', 'each', 'a', 'in', 'r_sa', 'induces', 'a', 'global', 'section', 'of', 'o_r', 'and', 'of', 'o_r', 'respectively', 'we', 'call', 'them', 'emph', 'contextual', 'observables', 'but', 'we', 'show', 'that', 'in', 'general', 'not', 'every', 'global', 'section', 'of', 'these', 'presheaves', 'arises', 'in', 'this', 'way', 'moreover', 'we', 'discuss', 'states', 'of', 'a', 'von', 'neumann', 'algebra', 'in', 'the', 'presheaf', 'context']] | [-0.1291297953257239, 0.06138754361554196, -0.07987893011519, 0.06657331245767541, -0.05544302424562997, -0.1307804010514366, -0.014969106351858691, 0.3334811221440568, -0.34183643405374725, -0.149684568637933, 0.07049413225245907, -0.26814269355841375, -0.061387049524407634, 0.1602269684797839, -0.19357645072435078, -0.04942308516290627, 0.1138893029407451, 0.16420397209493737, -0.10019876191539592, -0.24259282234860094, 0.42783766530062023, -0.027982235582251297, 0.23924769684672356, 0.06585322744825757, 0.07441864333262568, 0.015414137839290656, -0.03415627916784663, 0.05526301576510856, -0.19394819483507156, 0.1437141700175983, 0.2861604490660523, 0.13160281343091476, 0.24746022502107448, -0.40029616581711086, -0.06690783000698215, 0.1629636804720289, 0.09204061141629752, 0.035626767857588434, 0.04480284833545355, -0.29781106631026455, 0.05935435721552686, -0.2880735967308283, -0.021495310261257384, -0.05721480782682958, 0.08317972036372674, -0.016937464191333244, -0.2477380545466746, 0.06957103397305074, 0.11191770448104331, 0.10390285562056019, -0.09977455991320312, -0.04834139168532075, -0.12167982282852263, 0.058032512199133635, -0.086615297159082, -0.019585327165642458, 0.13693519016470465, -0.0738636044515787, -0.1656692814670111, 0.33985973816168935, -0.08215992062499648, -0.19665662903142603, 0.1196451526527342, -0.2223363955946345, -0.2152543538495114, 0.0037557962595632204, 0.04899966012882559, 0.10492394491539973, -0.04669069904637964, 0.19325748519163186, -0.16026273871722974, 0.11547278176600996, 0.07924858944392518, 0.03750156473772796, 0.12794160845836527, 0.10123267123769773, 0.08127268866978977, 0.14485486490946067, 0.01919914828705307, -0.03286273596122077, -0.40544685776296413, -0.2115866521471425, -0.09781175698888929, 0.10770066456492426, -0.06664693882462176, -0.1998952182303918, 0.37368270495024164, 0.13337333287161432, 0.23222956574080805, 0.08058610960449043, 0.19764071351995594, 0.06515756548798986, 0.08038151854355084, 0.05575733888698252, 0.14840622152642985, 0.21274388361918298, 0.03682884889605798, -0.14335937860764955, -0.013851425478136854, 0.2179277076532966] |
708.0678 | Kinetic Theory of Response Functions for the Hard Sphere Granular Fluid | The response functions for small spatial perturbations of a homogeneous
granular fluid have been described recently. In appropriate dimensionless
variables, they have the form of stationary state time correlation functions.
Here, these functions are expressed in terms of reduced single particle
functions that are expected to obey a linear kinetic equation. The functional
assumption required for such a kinetic equation, and a Markov approximation for
its implementation are discussed. If, in addition, static velocity correlations
are neglected, a granular fluid version of the linearized Enskog kinetic theory
is obtained. The derivation makes no a priori limitation on the density, space
and time scale, nor degree of inelasticity. As an illustration, recently
derived Helfand and Green-Kubo expressions for the Navier-Stokes order
transport coefficients are evaluated with this kinetic theory. The results are
in agreement with those obtained from the Chapman-Enskog solution to the
nonlinear Enskog kinetic equation.
| cond-mat.soft cond-mat.stat-mech | the response functions for small spatial perturbations of a homogeneous granular fluid have been described recently in appropriate dimensionless variables they have the form of stationary state time correlation functions here these functions are expressed in terms of reduced single particle functions that are expected to obey a linear kinetic equation the functional assumption required for such a kinetic equation and a markov approximation for its implementation are discussed if in addition static velocity correlations are neglected a granular fluid version of the linearized enskog kinetic theory is obtained the derivation makes no a priori limitation on the density space and time scale nor degree of inelasticity as an illustration recently derived helfand and greenkubo expressions for the navierstokes order transport coefficients are evaluated with this kinetic theory the results are in agreement with those obtained from the chapmanenskog solution to the nonlinear enskog kinetic equation | [['the', 'response', 'functions', 'for', 'small', 'spatial', 'perturbations', 'of', 'a', 'homogeneous', 'granular', 'fluid', 'have', 'been', 'described', 'recently', 'in', 'appropriate', 'dimensionless', 'variables', 'they', 'have', 'the', 'form', 'of', 'stationary', 'state', 'time', 'correlation', 'functions', 'here', 'these', 'functions', 'are', 'expressed', 'in', 'terms', 'of', 'reduced', 'single', 'particle', 'functions', 'that', 'are', 'expected', 'to', 'obey', 'a', 'linear', 'kinetic', 'equation', 'the', 'functional', 'assumption', 'required', 'for', 'such', 'a', 'kinetic', 'equation', 'and', 'a', 'markov', 'approximation', 'for', 'its', 'implementation', 'are', 'discussed', 'if', 'in', 'addition', 'static', 'velocity', 'correlations', 'are', 'neglected', 'a', 'granular', 'fluid', 'version', 'of', 'the', 'linearized', 'enskog', 'kinetic', 'theory', 'is', 'obtained', 'the', 'derivation', 'makes', 'no', 'a', 'priori', 'limitation', 'on', 'the', 'density', 'space', 'and', 'time', 'scale', 'nor', 'degree', 'of', 'inelasticity', 'as', 'an', 'illustration', 'recently', 'derived', 'helfand', 'and', 'greenkubo', 'expressions', 'for', 'the', 'navierstokes', 'order', 'transport', 'coefficients', 'are', 'evaluated', 'with', 'this', 'kinetic', 'theory', 'the', 'results', 'are', 'in', 'agreement', 'with', 'those', 'obtained', 'from', 'the', 'chapmanenskog', 'solution', 'to', 'the', 'nonlinear', 'enskog', 'kinetic', 'equation']] | [-0.12674801360994373, 0.13353264967566883, -0.11384539376331927, 0.09775428439662728, -0.05183183443923927, -0.08812167841705099, -0.05092366496324284, 0.31431217357669383, -0.26607800798158937, -0.2825212081996341, 0.06652256730251806, -0.28500790539363474, -0.11310605053496484, 0.16464966237114437, 0.04197607466262089, 0.125111484710344, 0.03362086937724523, 0.03473372611995429, -0.09202446623893505, -0.1934876718067194, 0.29146313507983795, 0.05677326435497516, 0.2570004761585813, 0.01436330986923653, 0.155427337024514, -0.018978193386343038, -0.034826477912209976, 0.08213772070063884, -0.17431576677769692, 0.04265782573859986, 0.2309803848240759, 0.02336226638856229, 0.2526367707560732, -0.4743706522675308, -0.2662289814181524, 0.04633565405256128, 0.12446410523899767, 0.10579876352280174, -0.030149542134133973, -0.2424850618938775, 0.03659583431706853, -0.185267105602204, -0.15758650288725756, -0.11632763963090638, 0.018849529727834137, 0.09596538125243906, -0.28719334002609737, 0.1729713150296896, 0.017894020646950868, 0.03811742368868667, -0.10679749190593649, -0.13653993108134385, -0.028275769172006682, 0.05072682669820034, 0.05205207421406083, 0.016853817145352903, 0.11390111183632828, -0.1507415099449022, -0.03340390883346267, 0.37989235220298373, -0.08588053659960143, -0.3205040060605675, 0.1730540371930533, -0.12923283263568908, -0.10557347320320008, 0.13676215683537446, 0.12734760031461306, 0.10456063444662379, -0.2164138688016938, 0.11396714575053073, -0.06152241391987757, 0.15983287010928743, 0.06786231496307539, 0.03402226958905262, 0.1265435992063929, 0.11940577700861717, -0.0034333788885492576, 0.09352302458615692, -0.015349678987037544, -0.16750732592900272, -0.3407903505004432, -0.14134907407513883, -0.21568003778939124, 0.051899371451813066, -0.11277757568752524, -0.17949678822203655, 0.3178298569217401, 0.10648978938514443, 0.13419026052196548, 0.08596510131690294, 0.252359889246753, 0.25703085871167763, 0.015089428961302524, 0.08930845677929178, 0.25699631241469145, 0.17941304571027167, 0.1364900874423879, -0.20529746815836541, 0.08961234423204338, 0.13204276518360392] |
708.0679 | Superposition Formulas for Darboux Integrable Exterior Differential
Systems | In this paper we present a far-reaching generalization of E. Vessiot's
analysis of the Darboux integrable partial differential equations in one
dependent and two independent variables. Our approach provides new insights
into this classical method, uncovers the fundamental geometric invariants of
Darboux integrable systems, and provides for systematic, algorithmic
integration of such systems. This work is formulated within the general
framework of Pfaffian exterior differential systems and, as such, has
applications well beyond those currently found in the literature. In
particular, our integration method is applicable to systems of hyperbolic PDE
such as the Toda lattice equations, 2 dimensional wave maps and systems of
overdetermined PDE.
| math.DG math-ph math.MP | in this paper we present a farreaching generalization of e vessiots analysis of the darboux integrable partial differential equations in one dependent and two independent variables our approach provides new insights into this classical method uncovers the fundamental geometric invariants of darboux integrable systems and provides for systematic algorithmic integration of such systems this work is formulated within the general framework of pfaffian exterior differential systems and as such has applications well beyond those currently found in the literature in particular our integration method is applicable to systems of hyperbolic pde such as the toda lattice equations 2 dimensional wave maps and systems of overdetermined pde | [['in', 'this', 'paper', 'we', 'present', 'a', 'farreaching', 'generalization', 'of', 'e', 'vessiots', 'analysis', 'of', 'the', 'darboux', 'integrable', 'partial', 'differential', 'equations', 'in', 'one', 'dependent', 'and', 'two', 'independent', 'variables', 'our', 'approach', 'provides', 'new', 'insights', 'into', 'this', 'classical', 'method', 'uncovers', 'the', 'fundamental', 'geometric', 'invariants', 'of', 'darboux', 'integrable', 'systems', 'and', 'provides', 'for', 'systematic', 'algorithmic', 'integration', 'of', 'such', 'systems', 'this', 'work', 'is', 'formulated', 'within', 'the', 'general', 'framework', 'of', 'pfaffian', 'exterior', 'differential', 'systems', 'and', 'as', 'such', 'has', 'applications', 'well', 'beyond', 'those', 'currently', 'found', 'in', 'the', 'literature', 'in', 'particular', 'our', 'integration', 'method', 'is', 'applicable', 'to', 'systems', 'of', 'hyperbolic', 'pde', 'such', 'as', 'the', 'toda', 'lattice', 'equations', '2', 'dimensional', 'wave', 'maps', 'and', 'systems', 'of', 'overdetermined', 'pde']] | [-0.14041147584184294, -0.0012292607731762386, -0.07985511541898761, 0.07173458950571893, -0.09776242522611504, -0.13642548019776032, -0.03166206568767804, 0.2645798603338855, -0.3101621850216318, -0.2604813829773948, 0.12256114592975272, -0.2531047864329247, -0.2459992716532378, 0.2438550848602539, -0.08608690884097346, 0.13994807426241182, 0.05106715936479824, -0.004935991427018529, -0.1176725720410191, -0.23182385398540645, 0.36190871999465996, -0.046782206508907534, 0.2152018404344008, 0.027077396685213206, 0.1609985969738946, 0.03745532260675515, -0.05187400708950701, 0.006364979683643295, -0.13494554216130858, 0.14442644951244196, 0.3172291559655042, 0.09261877742378385, 0.22837686303426466, -0.37880408249440645, -0.22953620676306033, 0.03537745083726588, 0.19233912915168774, 0.13352809472098237, -0.04160023509036927, -0.2868391715877113, 0.013989764026233129, -0.14218372175292598, -0.19344806316353025, -0.10588578350309814, 0.024813145028782034, 0.05014508331105823, -0.23195483787428764, 0.10166592383757234, 0.12319695519039496, 0.08285923225741412, -0.08453558538375157, -0.12362370256755856, 0.009240233536720986, 0.07323573301712583, -0.001381592892132522, 0.019285544912729945, 0.04961758206842379, -0.05637554449474139, -0.143175027909733, 0.4278962369032559, -0.03497723897120782, -0.28025677122530485, 0.1917139519272106, -0.09322229417129642, -0.21577278680744624, 0.11007349483136619, 0.20979161421280532, 0.14466255420730229, -0.18447940003659044, 0.12448510855610948, -0.04469839507627988, 0.11792605853240405, 0.03504617537283117, 0.04135160602108087, 0.16591100423108965, 0.21137641257429052, 0.08333954339226086, 0.1258187024055847, 0.028260219744628383, -0.1630114839988805, -0.3215412953779811, -0.21082446631931123, -0.10944131457557281, 0.08221742913634184, -0.0853742377951719, -0.17573802884490716, 0.38506282253102175, 0.1541910508059941, 0.11698836520136822, 0.033528018117483176, 0.2693762761407665, 0.17528804776846388, 0.04082128114643551, 0.02007398178712243, 0.20052209482306527, 0.1881839268619106, 0.12774935516395738, -0.165110685049911, -0.03559763907077944, 0.12248436574425016] |
708.068 | $\Lambda$-CDM Universe: A Phenomenological Approach With Many
Possibilities | A time-dependent phenomenological model of $\Lambda$, viz. $\dot \Lambda\sim
H^3$ is selected to investigate the $\Lambda$-CDM cosmology. Time-dependent
form of the equation of state parameter $\omega$ is derived and it has been
possible to obtain the sought for flip of sign of the deceleration parameter q.
Present age of the Universe, calculated for some specific values of the
parameters agrees very well with the observational data.
| gr-qc | a timedependent phenomenological model of lambda viz dot lambdasim h3 is selected to investigate the lambdacdm cosmology timedependent form of the equation of state parameter omega is derived and it has been possible to obtain the sought for flip of sign of the deceleration parameter q present age of the universe calculated for some specific values of the parameters agrees very well with the observational data | [['a', 'timedependent', 'phenomenological', 'model', 'of', 'lambda', 'viz', 'dot', 'lambdasim', 'h3', 'is', 'selected', 'to', 'investigate', 'the', 'lambdacdm', 'cosmology', 'timedependent', 'form', 'of', 'the', 'equation', 'of', 'state', 'parameter', 'omega', 'is', 'derived', 'and', 'it', 'has', 'been', 'possible', 'to', 'obtain', 'the', 'sought', 'for', 'flip', 'of', 'sign', 'of', 'the', 'deceleration', 'parameter', 'q', 'present', 'age', 'of', 'the', 'universe', 'calculated', 'for', 'some', 'specific', 'values', 'of', 'the', 'parameters', 'agrees', 'very', 'well', 'with', 'the', 'observational', 'data']] | [-0.1497401281005957, 0.09831909546064156, -0.06304810611728692, 0.0910009636586024, -0.09896071461226905, -0.16025839340308626, 0.005670359763881248, 0.34084553519884747, -0.22313701268285513, -0.32279062691624416, 0.06309317966753786, -0.24057593272829597, 0.02112714085502155, 0.19887029692340133, 0.032101359514688906, 0.06248406614869247, 0.017246605024080385, 0.08643631381688244, -0.06322505522720431, -0.1786455296995965, 0.3313460651587582, 0.06608544787476686, 0.1871190742231468, -0.008632057127683904, 0.11646355155354479, -0.08666091478627289, -0.027430227463782736, -0.0006016903189998684, -0.2722056729182827, 0.026928624618890215, 0.1933050008621208, 0.11938057759085274, 0.21444928325769125, -0.3442189893544172, -0.24231238379566508, 0.10300216440704059, 0.12019867815472411, 0.12084183269039248, -0.023756931931006187, -0.26957584228931053, 0.03014523730697957, -0.17491100339049642, -0.16521650984544645, -0.06090154164386066, 0.09337249417986834, -0.000835148264851534, -0.2782958999036275, 0.15973804814557574, -0.05619506332776368, -0.022553111059647617, -0.10138706452297894, -0.1706199246232934, -0.03661170163699849, 0.1008195400266259, 0.10478722859195179, 0.08519233656503881, 0.10281806239491385, -0.16319326913887353, -0.04453465056069421, 0.4226287247217966, -0.09191295328183156, -0.15069539101695587, 0.08153011593050465, -0.1914548508286702, -0.11003015759739686, 0.0484771838757407, 0.07022639204550421, 0.0832915468296657, -0.1320668728246043, 0.1686936302990723, -0.009388632432091981, 0.1624931802683877, 0.045495263964050646, -0.008821935713058338, 0.1626813868342927, 0.16267027164047415, -0.007335402198474516, 0.1001484125824363, -0.10324332277135302, -0.11342505428492035, -0.3448805240067569, -0.10835020922858155, -0.17589978182293248, 0.07246740176483538, -0.14804333865366504, -0.18398181216396164, 0.37233475297618884, 0.11914773083271664, 0.2579585206694901, 0.0024702434399814315, 0.23093891889562435, 0.1583430453866833, 0.018538412863783764, 8.227619003843178e-05, 0.2775788066831989, 0.16571810001958953, 0.06895946156741543, -0.2699839886080361, 0.08314482256008143, 0.0018166688440198247] |
708.0681 | Macroscopic violation of special relativity | Feynman one of the founders of Quantum Electronic Dynamics (QED) introduced
in his diagrams virtual particles as intermediate states of an interaction
process. Such virtual particles are not observable, however, from the
theoretical point of view they represent necessary intermediate states between
observable real states. Such virtual particles were introduced for describing
the interaction process between an electron and a positron and for much more
complicated interaction processes. Other candidates for virtual photons are
evanescent modes known from optics. Evanescent modes have a purely imaginary
wave number, they represent the mathematical analogy of the tunneling solutions
of the Schr\"odinger equation. Evanescent modes are present in the optical
processes of total reflection and in undersized wave guides for instance. The
most prominent example of the occurrence of evanescent modes is frustrated
total internal reflection at double prisms. In 1949 Sommerfeld
\cite{Sommerfeld} pointed out that this optical phenomenon represents the
analogy of quantum mechanical tunneling. The evanescent modes and tunneling
violate the theory of special relativity, obviously, they represent the
exception which proves the special theory of relativity. We demonstrate the
quantum mechanical behavior of evanescent modes \textbf{with digital microwave}
signals at a macroscopic scale of the order of a meter and show that evanescent
modes are well described by virtual photons as predicted by former QED
calculations.
| quant-ph | feynman one of the founders of quantum electronic dynamics qed introduced in his diagrams virtual particles as intermediate states of an interaction process such virtual particles are not observable however from the theoretical point of view they represent necessary intermediate states between observable real states such virtual particles were introduced for describing the interaction process between an electron and a positron and for much more complicated interaction processes other candidates for virtual photons are evanescent modes known from optics evanescent modes have a purely imaginary wave number they represent the mathematical analogy of the tunneling solutions of the schrodinger equation evanescent modes are present in the optical processes of total reflection and in undersized wave guides for instance the most prominent example of the occurrence of evanescent modes is frustrated total internal reflection at double prisms in 1949 sommerfeld citesommerfeld pointed out that this optical phenomenon represents the analogy of quantum mechanical tunneling the evanescent modes and tunneling violate the theory of special relativity obviously they represent the exception which proves the special theory of relativity we demonstrate the quantum mechanical behavior of evanescent modes textbfwith digital microwave signals at a macroscopic scale of the order of a meter and show that evanescent modes are well described by virtual photons as predicted by former qed calculations | [['feynman', 'one', 'of', 'the', 'founders', 'of', 'quantum', 'electronic', 'dynamics', 'qed', 'introduced', 'in', 'his', 'diagrams', 'virtual', 'particles', 'as', 'intermediate', 'states', 'of', 'an', 'interaction', 'process', 'such', 'virtual', 'particles', 'are', 'not', 'observable', 'however', 'from', 'the', 'theoretical', 'point', 'of', 'view', 'they', 'represent', 'necessary', 'intermediate', 'states', 'between', 'observable', 'real', 'states', 'such', 'virtual', 'particles', 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708.0682 | Perturbed Beta-Gamma Systems and Complex Geometry | We consider the equations, arising as the conformal invariance conditions of
the perturbed curved beta-gamma system. These equations have the physical
meaning of Einstein equations with a B-field and a dilaton on a hermitian
manifold, where the B-field 2-form is imaginary and proportional to the
canonical form associated with hermitian metric. We show that they decompose
into linear and bilinear equations and lead to the vanishing of the first Chern
class of the manifold where the system is defined. We discuss the relation of
these equations to the generalized Maurer-Cartan structures related to BRST
operator. Finally we describe the relations of the generalized Maurer-Cartan
bilinear operation and the Courant/Dorfman brackets.
| hep-th math-ph math.DG math.MP | we consider the equations arising as the conformal invariance conditions of the perturbed curved betagamma system these equations have the physical meaning of einstein equations with a bfield and a dilaton on a hermitian manifold where the bfield 2form is imaginary and proportional to the canonical form associated with hermitian metric we show that they decompose into linear and bilinear equations and lead to the vanishing of the first chern class of the manifold where the system is defined we discuss the relation of these equations to the generalized maurercartan structures related to brst operator finally we describe the relations of the generalized maurercartan bilinear operation and the courantdorfman brackets | [['we', 'consider', 'the', 'equations', 'arising', 'as', 'the', 'conformal', 'invariance', 'conditions', 'of', 'the', 'perturbed', 'curved', 'betagamma', 'system', 'these', 'equations', 'have', 'the', 'physical', 'meaning', 'of', 'einstein', 'equations', 'with', 'a', 'bfield', 'and', 'a', 'dilaton', 'on', 'a', 'hermitian', 'manifold', 'where', 'the', 'bfield', '2form', 'is', 'imaginary', 'and', 'proportional', 'to', 'the', 'canonical', 'form', 'associated', 'with', 'hermitian', 'metric', 'we', 'show', 'that', 'they', 'decompose', 'into', 'linear', 'and', 'bilinear', 'equations', 'and', 'lead', 'to', 'the', 'vanishing', 'of', 'the', 'first', 'chern', 'class', 'of', 'the', 'manifold', 'where', 'the', 'system', 'is', 'defined', 'we', 'discuss', 'the', 'relation', 'of', 'these', 'equations', 'to', 'the', 'generalized', 'maurercartan', 'structures', 'related', 'to', 'brst', 'operator', 'finally', 'we', 'describe', 'the', 'relations', 'of', 'the', 'generalized', 'maurercartan', 'bilinear', 'operation', 'and', 'the', 'courantdorfman', 'brackets']] | [-0.1947081190279939, 0.10802768105429343, -0.04804160227491097, 0.061019908909855244, -0.14881051787894897, -0.12389923402277583, -0.0743449184577912, 0.2893927602605386, -0.3081797412607226, -0.21544697459109804, 0.07077380237804556, -0.2521165599623187, -0.22303583224050022, 0.1173135982064361, -0.059372210411608894, 0.04333716034889221, 0.0036186157365922225, 0.0893410139632496, -0.1904862714285793, -0.22109322082462973, 0.473975567672063, -0.013663771005601368, 0.21767842010171576, 0.0071714985015040094, 0.20754147609695792, -0.04819312409751795, -0.011156733308664776, 0.004805090736640109, -0.11139025575810757, 0.09787985588508573, 0.2172243451614949, 0.07335067147135058, 0.14544940699898606, -0.4280646046115594, -0.14336399016055193, 0.11053840585412797, 0.08956198043782602, 0.058033665669658646, 0.029244553607846186, -0.3308140051043169, 0.07495216869151178, -0.1535322764253413, -0.1770192709243433, -0.10665419265119867, 0.0043859577653082935, 0.008736083775081418, -0.22544843560000036, 0.047660039314492184, 0.07750458613419059, 0.008270994760096073, -0.15811483227563175, -0.07559599586847153, -0.07276963302865624, 0.06053882448256693, 0.05263547161276537, 0.009719770507548343, 0.10936140052720227, -0.10097398299469866, -0.07243203718469224, 0.4157935690558092, -0.10095288992108015, -0.32123193820430473, 0.10657938656989824, -0.1263727416961708, -0.15095380647319623, 0.06063603592761369, 0.13866422203454104, 0.14332788897762921, -0.13497870477255094, 0.1805254898092244, -0.051300766553983766, 0.06545442686500874, 0.06858657550871033, 0.029552300528369168, 0.1630574987629767, 0.03761687881143933, 0.06727228613189337, 0.13904726802456108, 0.005958520787746899, -0.15548091311092405, -0.4001259815625169, -0.2079269432759082, -0.08561182904946195, 0.15416017971424895, -0.13802310253787173, -0.19446201625872742, 0.39146924486849455, 0.0996197960481037, 0.19258790993216363, 0.07188683411275798, 0.19632274301891978, 0.20831929155604237, 0.1121338175017048, 0.045523437273434615, 0.21599964184728873, 0.2524134773507037, 0.08884074399565262, -0.26317022900012405, -0.09586646798998118, 0.16645126474851912] |
708.0683 | Persistence and Memory in Patchwork Dynamics for Glassy Models | Slow dynamics in disordered materials prohibits direct simulation of their
rich nonequilibrium behavior at large scales. "Patchwork dynamics" is
introduced to mimic relaxation over a very broad range of time scales by
equilibrating or optimizing directly on successive length scales. This dynamics
is used to study coarsening and to replicate memory effects for spin glasses
and random ferromagnets. It is also used to find, with high confidence, exact
ground states in large or toroidal samples.
| cond-mat.dis-nn cond-mat.stat-mech | slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales patchwork dynamics is introduced to mimic relaxation over a very broad range of time scales by equilibrating or optimizing directly on successive length scales this dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets it is also used to find with high confidence exact ground states in large or toroidal samples | [['slow', 'dynamics', 'in', 'disordered', 'materials', 'prohibits', 'direct', 'simulation', 'of', 'their', 'rich', 'nonequilibrium', 'behavior', 'at', 'large', 'scales', 'patchwork', 'dynamics', 'is', 'introduced', 'to', 'mimic', 'relaxation', 'over', 'a', 'very', 'broad', 'range', 'of', 'time', 'scales', 'by', 'equilibrating', 'or', 'optimizing', 'directly', 'on', 'successive', 'length', 'scales', 'this', 'dynamics', 'is', 'used', 'to', 'study', 'coarsening', 'and', 'to', 'replicate', 'memory', 'effects', 'for', 'spin', 'glasses', 'and', 'random', 'ferromagnets', 'it', 'is', 'also', 'used', 'to', 'find', 'with', 'high', 'confidence', 'exact', 'ground', 'states', 'in', 'large', 'or', 'toroidal', 'samples']] | [-0.11527038283025225, 0.23977608264734349, -0.08605487912893295, 0.10156682125447938, -0.052528623106578985, -0.13744157409916322, -0.006911727438370387, 0.3801263788342476, -0.31288736455142496, -0.30408986112723746, 0.06261702415533364, -0.23817231912165882, -0.09432900204633674, 0.17793301621451973, 0.036094218622893096, 0.05028759045371165, 0.023211815301328896, -0.06059940264249841, -0.04837434258311987, -0.20789537986119588, 0.22736685417592525, 0.08874799070258935, 0.3175787662466367, 0.03309981302979092, 0.11119397406155865, 0.0005206992787619432, 0.060904652327299115, 0.0543281747152408, -0.13317235382894674, 0.02116484196468567, 0.2798820519292106, 0.0036355595228572688, 0.24480057888974746, -0.49716293248037496, -0.24341023509701093, 0.07114302092852692, 0.1333623774877439, 0.17049170528848967, -0.0025826292438432576, -0.2542635925114155, 0.07610272818555434, -0.12110354605130852, -0.10624282388016582, -0.13379499789948265, 0.05784605158803364, 0.018037290230082968, -0.25307666875422, 0.11661604887146192, 0.01946903461590409, 0.08381142773665488, -0.00976661084840695, -0.06834861449897289, 0.013788874130696058, 0.1166512152304252, 0.05263155106765528, -0.005706749064847827, 0.165159666861097, -0.11871391386104127, -0.09657071093252549, 0.35804852755119404, -0.06168106779456139, -0.17160283188025158, 0.29861714772259196, -0.16909055201336742, -0.11382660339896877, 0.2032389785721898, 0.21573516683032115, 0.1451553827772538, -0.11817728489016494, 0.0334639847666646, 0.03658029613395532, 0.19780726989110312, -0.0077662153790394465, 0.0695435701434811, 0.21861689227322736, 0.23245471740762394, 0.051736296887199086, 0.15361767167846363, -0.08275786736359199, -0.17569236842294533, -0.18811836828788123, -0.09561618329957128, -0.25812843737502894, 0.08257640087977051, -0.08823419721564278, -0.18539983359786372, 0.38352742192645867, 0.15269358613838752, 0.21288279589265585, 0.074889584754128, 0.23993533014319837, 0.06510613229125738, 0.07884575715598961, 0.0465506172257786, 0.183103455627958, 0.10218870507087559, 0.11434053057028602, -0.2589000173471868, 0.09731699343460301, -0.0069218277434508] |
708.0684 | Parametric excitation and chaos through dust-charge fluctuation in a
dusty plasma | We consider a van der Pol-Mathieu (vdPM) equation with parametric forcing,
which arises in a simplified model of dusty plasma with dust-charge
fluctuation. We make a detailed numerical investigation and show that the
system can be driven to chaos either through a period doubling cascade or
though a subcritical pitchfork bifurcation over an wide range of parameter
space. We also discuss the frequency entrainment or frequency-locked phase of
the dust-charge fluctuation dynamics and show that the system exhibits 2:1
parametric resonance away from the chaotic regime.
| nlin.CD physics.plasm-ph | we consider a van der polmathieu vdpm equation with parametric forcing which arises in a simplified model of dusty plasma with dustcharge fluctuation we make a detailed numerical investigation and show that the system can be driven to chaos either through a period doubling cascade or though a subcritical pitchfork bifurcation over an wide range of parameter space we also discuss the frequency entrainment or frequencylocked phase of the dustcharge fluctuation dynamics and show that the system exhibits 21 parametric resonance away from the chaotic regime | [['we', 'consider', 'a', 'van', 'der', 'polmathieu', 'vdpm', 'equation', 'with', 'parametric', 'forcing', 'which', 'arises', 'in', 'a', 'simplified', 'model', 'of', 'dusty', 'plasma', 'with', 'dustcharge', 'fluctuation', 'we', 'make', 'a', 'detailed', 'numerical', 'investigation', 'and', 'show', 'that', 'the', 'system', 'can', 'be', 'driven', 'to', 'chaos', 'either', 'through', 'a', 'period', 'doubling', 'cascade', 'or', 'though', 'a', 'subcritical', 'pitchfork', 'bifurcation', 'over', 'an', 'wide', 'range', 'of', 'parameter', 'space', 'we', 'also', 'discuss', 'the', 'frequency', 'entrainment', 'or', 'frequencylocked', 'phase', 'of', 'the', 'dustcharge', 'fluctuation', 'dynamics', 'and', 'show', 'that', 'the', 'system', 'exhibits', '21', 'parametric', 'resonance', 'away', 'from', 'the', 'chaotic', 'regime']] | [-0.19194017714055786, 0.16799748435473053, -0.09894201367361737, 0.030377118072162073, -0.05528518080800062, -0.12944825917726294, 0.06961931277709525, 0.30003591272093, -0.2910555010395391, -0.21558972811769872, 0.10827653380415757, -0.23387543556635224, -0.17929562079786723, 0.2467675489578618, 0.00013399150200365555, 0.00699299164781613, 0.06749700067753327, -0.017565387195818835, -0.03443119394969905, -0.11275475828387287, 0.32744476616027807, 0.020248179833981254, 0.2164215163710261, -0.010919345323816828, 0.08537084058791931, -0.03178815161144095, 0.0462231091372641, 0.0011351266816962465, -0.18973592144209847, -0.011331252543078292, 0.17100103126306618, 0.034162764031428934, 0.27777649209435495, -0.3774295581305133, -0.2881980436366229, 0.11182784734826003, 0.16911018989880436, 0.1437875116063792, -0.01684539277422508, -0.2895993426708238, 0.02651058491374854, -0.21837007003791986, -0.14600805163250438, -0.07571738782904244, -0.0038972836309334354, 0.06306954848003529, -0.3156424292052786, 0.11982314141953664, 0.11247773835479859, 0.09854233799602038, -0.029398481422547428, -0.026774580842660118, -0.06623058318204823, 0.04156838330839362, 0.009780814275256403, -0.005869436727759118, 0.1514947261339763, -0.11866385884405602, -0.07178925085047792, 0.34606038386395777, -0.11121338290450651, -0.14471221993222744, 0.22833987981790588, -0.2004451254670996, -0.08783741268174101, 0.1681069902565685, 0.15886806336874587, 0.03256065640155049, -0.10448176028356622, 0.057507273983598374, -0.007266625562416655, 0.24093161903909363, 0.09291917531629137, -0.01657673701023062, 0.22136596961146487, 0.20570363275085887, 0.05318287276341358, 0.1838226123765621, -0.08367816762239229, -0.1575656780152626, -0.2827195424941324, -0.07363510458353198, -0.12667033059655555, 0.07871711605860453, -0.06748850625306313, -0.21512095561402453, 0.3945397600237768, 0.13684751050701985, 0.20099087975298366, -0.012030627854290373, 0.25046493417661014, 0.1790190626523413, -0.01820665559716872, 0.06020355200494772, 0.2892300855434899, 0.1042739533863607, 0.12182891458533482, -0.229097395212323, -0.04419610819535419, 0.03443397224570314] |
708.0685 | Dynamics of semi-flexible polymer solutions in the highly entangled
regime | We present experimental evidence that the effective medium approximation
(EMA), developed by D.C. Morse [Phys. Rev. E {\bf 63}, 031502, (2001)],
provides the correct scaling law of the macroscopic plateau modulus
$G^{0}\propto\rho^{4/3}L^{-1/3}_{p}$ (where $\rho$ is the contour length per
unit volume and $L_{p}$ is the persistence length) of semi-flexible polymer
solutions, in the highly entangled concentration regime. Competing theories,
including a self-consistent binary collision approximation (BCA), have instead
predicted $G^{0}\propto\rho^{7/5}L^{-1/5}_{p}$. We have tested both the EMA and
BCA scaling predictions using actin filament (F-actin) solutions which permit
experimental control of $L_p$ independently of other parameters. A combination
of passive video particle tracking microrheology and dynamic light scattering
yields independent measurements of the elastic modulus $G$ and $L_{p}$
respectively. Thus we can distinguish between the two proposed laws, in
contrast to previous experimental studies, which focus on the (less
discriminating) concentration functionality of $G$.
| cond-mat.soft | we present experimental evidence that the effective medium approximation ema developed by dc morse phys rev e bf 63 031502 2001 provides the correct scaling law of the macroscopic plateau modulus g0proptorho43l13_p where rho is the contour length per unit volume and l_p is the persistence length of semiflexible polymer solutions in the highly entangled concentration regime competing theories including a selfconsistent binary collision approximation bca have instead predicted g0proptorho75l15_p we have tested both the ema and bca scaling predictions using actin filament factin solutions which permit experimental control of l_p independently of other parameters a combination of passive video particle tracking microrheology and dynamic light scattering yields independent measurements of the elastic modulus g and l_p respectively thus we can distinguish between the two proposed laws in contrast to previous experimental studies which focus on the less discriminating concentration functionality of g | [['we', 'present', 'experimental', 'evidence', 'that', 'the', 'effective', 'medium', 'approximation', 'ema', 'developed', 'by', 'dc', 'morse', 'phys', 'rev', 'e', 'bf', '63', '031502', '2001', 'provides', 'the', 'correct', 'scaling', 'law', 'of', 'the', 'macroscopic', 'plateau', 'modulus', 'g0proptorho43l13_p', 'where', 'rho', 'is', 'the', 'contour', 'length', 'per', 'unit', 'volume', 'and', 'l_p', 'is', 'the', 'persistence', 'length', 'of', 'semiflexible', 'polymer', 'solutions', 'in', 'the', 'highly', 'entangled', 'concentration', 'regime', 'competing', 'theories', 'including', 'a', 'selfconsistent', 'binary', 'collision', 'approximation', 'bca', 'have', 'instead', 'predicted', 'g0proptorho75l15_p', 'we', 'have', 'tested', 'both', 'the', 'ema', 'and', 'bca', 'scaling', 'predictions', 'using', 'actin', 'filament', 'factin', 'solutions', 'which', 'permit', 'experimental', 'control', 'of', 'l_p', 'independently', 'of', 'other', 'parameters', 'a', 'combination', 'of', 'passive', 'video', 'particle', 'tracking', 'microrheology', 'and', 'dynamic', 'light', 'scattering', 'yields', 'independent', 'measurements', 'of', 'the', 'elastic', 'modulus', 'g', 'and', 'l_p', 'respectively', 'thus', 'we', 'can', 'distinguish', 'between', 'the', 'two', 'proposed', 'laws', 'in', 'contrast', 'to', 'previous', 'experimental', 'studies', 'which', 'focus', 'on', 'the', 'less', 'discriminating', 'concentration', 'functionality', 'of', 'g']] | [-0.13610836993611883, 0.1528623119146297, -0.09579283169337681, -0.0007955222141130694, -0.03952591716245349, -0.176881145878828, 0.040394237874819994, 0.36567271361792725, -0.22034979225635262, -0.2934365421067923, 0.0007470217117640589, -0.2887515789529841, -0.13354378710999817, 0.17625583361119165, -0.012724038795568049, 0.10156353771328992, 0.0242472583860425, -0.010497088943208967, -0.025716384164323765, -0.2004767579433974, 0.18081897361802735, 0.06796508928361748, 0.3099161847960204, 0.04679014947198864, 0.08257026147829102, 0.058887558117774984, -0.03046983181432422, 0.05395548749116382, -0.20442907591875284, 0.11041630013579769, 0.21496818570885806, 0.050126756437020956, 0.21915302300559622, -0.44009098302173827, -0.24769581711318875, 0.09360352960814322, 0.1428952763896502, 0.06320865712893595, -0.02588330674001814, -0.24649637038902647, 0.05869045125852738, -0.15069447228784805, -0.11103636697932545, -0.08152653865649231, 0.09052687914642904, 0.06598120712109708, -0.2653147157913606, 0.1639911249036751, 0.017532917253473508, 0.04384772377088666, -0.1016832954948768, -0.11271940510320877, 0.01568246978567913, 0.06837845430044191, 0.030136849501702402, 0.0648510550847277, 0.20393591731553898, -0.10646062515276883, -0.0985257935943082, 0.3418403163153146, -0.043021327878315266, -0.18598030711623972, 0.20390925587354494, -0.11468068839250399, -0.09015173234843782, 0.13229173256882598, 0.13957392486211445, 0.10780238930710766, -0.14219791260547937, 0.06632652002819149, -0.07695931993720088, 0.19847352811068827, 0.08308296123785631, 0.004346112655808351, 0.14177297038425293, 0.1650073527657826, -0.005504222330637276, 0.10826045738607977, -0.12105804698242406, -0.1093078098866889, -0.29931034873422635, -0.12325888332977358, -0.17038307536859065, 0.03866352451067152, -0.1344371394283371, -0.14582207875791936, 0.33265305612751817, 0.11007278063001909, 0.19836383666177945, 0.1081800487748946, 0.23683766843584766, 0.06074286897450552, 0.038565464903201375, 0.06612729627273178, 0.28360726416244036, 0.16063882138114421, 0.09335191070567816, -0.2495937981476475, 0.049705722688564234, 0.10089162846228907] |
708.0686 | Spectral analysis of transfer operators associated to Farey fractions | The spectrum of a one-parameter family of signed transfer operators
associated to the Farey map is studied in detail. We show that when acting on a
suitable Hilbert space of analytic functions they are self-adjoint and exhibit
absolutely continuous spectrum and no non-zero point spectrum. Polynomial
eigenfunctions when the parameter is a negative half-integer are also
discussed.
| math-ph math.DS math.MP | the spectrum of a oneparameter family of signed transfer operators associated to the farey map is studied in detail we show that when acting on a suitable hilbert space of analytic functions they are selfadjoint and exhibit absolutely continuous spectrum and no nonzero point spectrum polynomial eigenfunctions when the parameter is a negative halfinteger are also discussed | [['the', 'spectrum', 'of', 'a', 'oneparameter', 'family', 'of', 'signed', 'transfer', 'operators', 'associated', 'to', 'the', 'farey', 'map', 'is', 'studied', 'in', 'detail', 'we', 'show', 'that', 'when', 'acting', 'on', 'a', 'suitable', 'hilbert', 'space', 'of', 'analytic', 'functions', 'they', 'are', 'selfadjoint', 'and', 'exhibit', 'absolutely', 'continuous', 'spectrum', 'and', 'no', 'nonzero', 'point', 'spectrum', 'polynomial', 'eigenfunctions', 'when', 'the', 'parameter', 'is', 'a', 'negative', 'halfinteger', 'are', 'also', 'discussed']] | [-0.17375149102799856, 0.171895796808888, -0.07134480020358112, 0.11056445179948289, -0.08231469002356262, -0.12512137133856877, -0.04034788797919949, 0.4146443193680362, -0.2734130179803622, -0.14957634211730278, 0.1164849001991873, -0.32088885132811573, -0.18898920653175497, 0.21268872332171, -0.04601232673188573, 0.08966073197753806, 0.056404041583862224, 0.08359644321465391, -0.11111075880226533, -0.17906023807039387, 0.41703795081233247, 0.008030479908675739, 0.19409575930943615, 0.025425807883342106, 0.08783311720349286, -0.03313344374723863, -0.03990007796439163, -0.02963847924369028, -0.12162247100722948, 0.08652826859370659, 0.24704997950609317, 0.06140425983456928, 0.2234703382934656, -0.3317099869447319, -0.19385803618321293, 0.2544671373539849, 0.1337394558399785, -0.008639445855167875, -0.05145135862760965, -0.25494182001995414, 0.07983283252504311, -0.16413860081842072, -0.15229179273898663, -0.13495065265318804, 0.08218576952717022, 0.02159347692341135, -0.28790236886982856, 0.0726345434265105, 0.08717486803142126, 0.08304826400585864, -0.08511903468650162, -0.10432462886041194, -0.1217999154816202, 0.08653003221332799, -0.01212466612719653, -0.009923331010596533, 0.07124203022389688, -0.046773856048259815, -0.08404610796194327, 0.33545494396872655, -0.07068151258352916, -0.28889047311978383, 0.11427737285562775, -0.2355871004187257, -0.13736810461667023, 0.11594592209643963, 0.10395754719349115, 0.1423980616392535, -0.07362088604611672, 0.20647174185101075, -0.07818681732016175, 0.10513903040759544, 0.07137136337788481, 0.05788387423340362, 0.153880831899873, 0.007016545349503295, 0.12764470927874771, 0.1618658927383653, 0.028437710190477798, -0.1457661912253682, -0.3412581100210286, -0.14493661046256884, -0.22150032027836955, 0.07059036721393727, -0.08083686764758456, -0.24614987664512897, 0.44346951973510157, 0.03943051177224046, 0.2780858909613208, 0.061456175488338136, 0.21737510359666326, 0.2258580140034227, 0.03710970871575307, 0.027791631391696762, 0.146035176162657, 0.12214535922465618, 0.029267711581237484, -0.1750565539849432, -0.032148302365257814, 0.11182907352371044] |
708.0687 | Universal thermal and electrical transport near the superconductor-metal
quantum phase transition in nanowires | We describe the thermal and electrical conductivities of quasi-one
dimensional wires, across a quantum phase transition from a superconductor to a
metal induced by pairbreaking perturbations. Fluctuation corrections to BCS
theory motivate a field theory for quantum criticality. We describe deviations
in the Wiedemann-Franz ratio from the Lorenz number, which can act as sensitive
tests of the theory. We also describe the crossovers out of the quantum
critical region into the metallic and superconducting phases.
| cond-mat.supr-con cond-mat.str-el | we describe the thermal and electrical conductivities of quasione dimensional wires across a quantum phase transition from a superconductor to a metal induced by pairbreaking perturbations fluctuation corrections to bcs theory motivate a field theory for quantum criticality we describe deviations in the wiedemannfranz ratio from the lorenz number which can act as sensitive tests of the theory we also describe the crossovers out of the quantum critical region into the metallic and superconducting phases | [['we', 'describe', 'the', 'thermal', 'and', 'electrical', 'conductivities', 'of', 'quasione', 'dimensional', 'wires', 'across', 'a', 'quantum', 'phase', 'transition', 'from', 'a', 'superconductor', 'to', 'a', 'metal', 'induced', 'by', 'pairbreaking', 'perturbations', 'fluctuation', 'corrections', 'to', 'bcs', 'theory', 'motivate', 'a', 'field', 'theory', 'for', 'quantum', 'criticality', 'we', 'describe', 'deviations', 'in', 'the', 'wiedemannfranz', 'ratio', 'from', 'the', 'lorenz', 'number', 'which', 'can', 'act', 'as', 'sensitive', 'tests', 'of', 'the', 'theory', 'we', 'also', 'describe', 'the', 'crossovers', 'out', 'of', 'the', 'quantum', 'critical', 'region', 'into', 'the', 'metallic', 'and', 'superconducting', 'phases']] | [-0.1640975943704446, 0.25156376206626496, -0.10175330812732379, 0.0514198428640763, -0.00026050078061719734, -0.1806762731820345, 0.13417768268690755, 0.25789626923700176, -0.2385960300763448, -0.24683793733517329, -0.0022631075248743097, -0.350056276495258, -0.1740649452743431, 0.185392896172901, 0.014339597411065674, 0.04873159847193165, -0.09108339787771304, -0.029320020228624344, -0.12000752681866288, -0.18444135387738544, 0.30340966062620284, -0.0016099374974146486, 0.3417849681774775, 0.07980898827780038, 0.013465640172362327, -0.03218063022320469, 0.10901104072729746, 0.12374253585313758, -0.17817630330721537, 0.0031059438859423003, 0.28927138809793784, -0.06998732147117456, 0.15985843999728483, -0.44803587871293227, -0.233276729931434, 0.042828276154274744, 0.09702067665755748, 0.18257183105219155, -0.0031908068433403967, -0.30913032761464515, 0.021037575385222832, -0.14808528068785867, -0.12867432418589791, -0.12479771157105764, -0.04334362972993404, -0.042653488169113796, -0.23992025430003802, 0.09522909596834021, 0.03671851145724456, 0.06252742662094533, -0.02114183866729339, -0.06431907020509244, -0.005331939399863283, 0.08098975386470557, 0.03438564419746399, -0.004086588167895874, 0.20890865119795005, -0.15795983631289953, -0.1116245383117348, 0.3641937133918206, -0.06895508009707556, -0.08267844176540771, 0.15791894603831072, -0.16097468912853705, -0.08053462289273738, 0.12412780976543823, 0.15162152662873268, 0.03648062829549114, -0.11969556962450345, 0.1092037018124635, 0.019628993657728036, 0.15400614730703335, 0.0014136399856458108, 0.08003562234342099, 0.29357070232431093, 0.1469753644987941, 0.0036953788871566455, 0.20600543146952988, -0.1059854527314504, -0.11475962946812311, -0.3223050893843174, -0.1968753423790137, -0.2033659991513317, 0.11862395117369791, -0.09292957831756211, -0.2261253687739372, 0.4020662649224202, 0.20704324135634428, 0.16636561011274656, -0.03219831378703626, 0.23366002179061374, 0.12562725999547789, 0.07083721519758304, 0.03345948776851098, 0.26050562374293806, 0.2294202058793356, 0.12880957895889877, -0.2929052011606594, -0.01746138378356894, 0.07731952248762052] |
708.0688 | Stellar Relaxation Processes Near the Galactic Massive Black Hole | The massive black hole (MBH) in the Galactic Center and the stars around it
form a unique stellar dynamics laboratory for studying how relaxation processes
affect the distribution of stars and compact remnants and lead to close
interactions between them and the MBH. Recent theoretical studies suggest that
processes beyond "minimal" two-body relaxation may operate and even dominate
relaxation and its consequences in the Galactic Center. I describe loss-cone
refilling by massive perturbers, strong mass segregation and resonant
relaxation; review observational evidence that these processes play a role in
the Galactic Center; and discuss some cosmic implications for the rates of
gravitational wave emission events from compact remnants inspiraling into MBHs,
and the coalescence timescales of binary MBHs.
| astro-ph | the massive black hole mbh in the galactic center and the stars around it form a unique stellar dynamics laboratory for studying how relaxation processes affect the distribution of stars and compact remnants and lead to close interactions between them and the mbh recent theoretical studies suggest that processes beyond minimal twobody relaxation may operate and even dominate relaxation and its consequences in the galactic center i describe losscone refilling by massive perturbers strong mass segregation and resonant relaxation review observational evidence that these processes play a role in the galactic center and discuss some cosmic implications for the rates of gravitational wave emission events from compact remnants inspiraling into mbhs and the coalescence timescales of binary mbhs | [['the', 'massive', 'black', 'hole', 'mbh', 'in', 'the', 'galactic', 'center', 'and', 'the', 'stars', 'around', 'it', 'form', 'a', 'unique', 'stellar', 'dynamics', 'laboratory', 'for', 'studying', 'how', 'relaxation', 'processes', 'affect', 'the', 'distribution', 'of', 'stars', 'and', 'compact', 'remnants', 'and', 'lead', 'to', 'close', 'interactions', 'between', 'them', 'and', 'the', 'mbh', 'recent', 'theoretical', 'studies', 'suggest', 'that', 'processes', 'beyond', 'minimal', 'twobody', 'relaxation', 'may', 'operate', 'and', 'even', 'dominate', 'relaxation', 'and', 'its', 'consequences', 'in', 'the', 'galactic', 'center', 'i', 'describe', 'losscone', 'refilling', 'by', 'massive', 'perturbers', 'strong', 'mass', 'segregation', 'and', 'resonant', 'relaxation', 'review', 'observational', 'evidence', 'that', 'these', 'processes', 'play', 'a', 'role', 'in', 'the', 'galactic', 'center', 'and', 'discuss', 'some', 'cosmic', 'implications', 'for', 'the', 'rates', 'of', 'gravitational', 'wave', 'emission', 'events', 'from', 'compact', 'remnants', 'inspiraling', 'into', 'mbhs', 'and', 'the', 'coalescence', 'timescales', 'of', 'binary', 'mbhs']] | [-0.10680522169065425, 0.16239960100186074, -0.0630205175390475, 0.20204328459892737, -0.09748420895124643, -0.03410600004244154, 0.05105739049771327, 0.33826703315016704, -0.19133015351085844, -0.27097798463241274, 0.030645703108117015, -0.3058646146239618, -0.08414062510355044, 0.23505766138876394, 0.062001107157981496, -0.0380658621912609, 0.10757962171327702, -0.06632701341473198, -0.04379340571596019, -0.1914392303324194, 0.3507220122205504, 0.12004470523502046, 0.12572716089543665, 0.015418715733577008, 0.0704086424626994, -0.026358642775202328, -0.012486505333997183, -0.05836963957428175, -0.1505220440396165, 0.017444117797806986, 0.22720344277232948, 0.1790748058613074, 0.21776948815558927, -0.4737254241323572, -0.23956122946278272, 0.07565917371440742, 0.21357680405726878, 0.10396966692731101, -0.17992476036898414, -0.26916926319343903, 0.03537519220351557, -0.2138773270140765, -0.18999490124998236, 0.03298422798388085, 0.0882246589043446, 0.03706696547441563, -0.19329241041875428, 0.1564081439657642, 0.1385911335779938, -0.022216884214115346, -0.1452864990303277, -0.07180125760388072, -0.03494504609508282, 0.09328157696636173, 0.10847843430839653, 0.04852727777324617, 0.2637905877367672, -0.10256831384248148, -0.10157330735128815, 0.39946055787682566, -0.023956932983818954, -0.06821378307038192, 0.2824304717261407, -0.2778788041047184, -0.1821037766531552, 0.11946039792580404, 0.2633009294710927, 0.12657842877117711, -0.1697832063290338, 0.0409208785745481, 0.07386938454516694, 0.12160263690008324, 0.06698449562753599, 0.11251137143600795, 0.4243075851848254, 0.15902313460611692, 0.012148454576194033, 0.04966079357664211, -0.14428455671280724, -0.12338002583690745, -0.2198399820609681, -0.08776653202850435, -0.07280584646712483, 0.10505284307688825, -0.15209361759566414, -0.06945874452022678, 0.29264011989955363, 0.09274445427285696, 0.22725421989778594, 0.011574713678998967, 0.23455178485867584, 0.05976277374824256, 0.07778194377404023, 0.14423561724044887, 0.36203255008840024, 0.1818015278076311, 0.043046537301329485, -0.3260245813921062, 0.058314281718024066, -0.015503121224247803] |
708.0689 | The automorphism group of the tetrablock | The tetrablock is a domain in 3-dimensional complex space that meets
3-dimensional Euclidean space in a regular tetrahedron. It is shown to be
inhomogeneous and its automorphism group is determined. A type of Schwarz lemma
for the tetrablock is proved. The action of the automorphism group is described
in terms of a certain natural foliation of the tetrablock by complex geodesic
discs.
| math.CV | the tetrablock is a domain in 3dimensional complex space that meets 3dimensional euclidean space in a regular tetrahedron it is shown to be inhomogeneous and its automorphism group is determined a type of schwarz lemma for the tetrablock is proved the action of the automorphism group is described in terms of a certain natural foliation of the tetrablock by complex geodesic discs | [['the', 'tetrablock', 'is', 'a', 'domain', 'in', '3dimensional', 'complex', 'space', 'that', 'meets', '3dimensional', 'euclidean', 'space', 'in', 'a', 'regular', 'tetrahedron', 'it', 'is', 'shown', 'to', 'be', 'inhomogeneous', 'and', 'its', 'automorphism', 'group', 'is', 'determined', 'a', 'type', 'of', 'schwarz', 'lemma', 'for', 'the', 'tetrablock', 'is', 'proved', 'the', 'action', 'of', 'the', 'automorphism', 'group', 'is', 'described', 'in', 'terms', 'of', 'a', 'certain', 'natural', 'foliation', 'of', 'the', 'tetrablock', 'by', 'complex', 'geodesic', 'discs']] | [-0.1984145290109389, 0.07965973051144712, -0.09736630496298594, 0.06686615885513264, -0.13979574701478403, -0.0666657714999371, -0.06696499878120038, 0.36409033711759314, -0.33061137047385974, -0.16341484887825866, 0.1522049602710702, -0.22342605682675756, -0.1775758022802972, 0.19643768300152115, -0.1608757978725818, -0.010279414252445643, 0.060093767925976746, 0.11593816750082037, -0.09110672782070094, -0.24759546426996107, 0.4017247961413476, -0.0375478612334137, 0.19265084820724424, 0.020104162672895096, 0.1268785306507902, 0.0025634556528060667, -0.001939541765398556, 0.04139468480829119, -0.14625607586088835, 0.08697169911371724, 0.24562362003170193, 0.08556983442676644, 0.1667758358281947, -0.33450266205134893, -0.22880503781620534, 0.14148962626894634, 0.14098619430085585, -0.009324442054475508, -0.017376508550613276, -0.2942436174940198, 0.10819472430364019, -0.09896376982872043, -0.22475323334125982, -0.04474559151417305, 0.08216800325129542, -0.0538118562826346, -0.22638232134763273, 0.015201386612569612, 0.15237830863184026, 0.08991945787302909, -0.05897817679778523, -0.011897769328507205, -0.08633231295032366, 0.07021097126867502, -0.03523746863262908, 0.15940630232404557, 0.11694393984432663, -0.04485321770452203, -0.0620939006968852, 0.4640196039071006, -0.023814062212383556, -0.3208011093801976, 0.12966045803360401, -0.19257257739833045, -0.12301668210232991, 0.15696278861874052, 0.09483174237632944, 0.17801375491093965, -0.10132313295898418, 0.2493290093629067, -0.1150786257048528, 0.08042575295774206, 0.1165410466492176, -0.08295048183701452, 0.10894685387310962, 0.15152823714907432, 0.13169722535437153, 0.17653239393539186, 0.05488541920579249, -0.07432851393616968, -0.30089300345148773, -0.24533605308181816, -0.2040572331977948, 0.0772511325889237, -0.14082675891334093, -0.19142499029957463, 0.3834916654703838, -0.057161108170065186, 0.14944632412234862, 0.034369606013980605, 0.18229554160948722, 0.057180043400054975, 0.09654459665950027, 0.09127747567911301, 0.156416253239337, 0.1821095924110963, -0.04937032538075601, -0.1689526531019158, 0.002730108166654264, 0.20363688025803817] |
708.069 | Staggered repulsion of transmission eigenvalues in symmetric open
mesoscopic systems | Quantum systems with discrete symmetries can usually be desymmetrized, but
this strategy fails when considering transport in open systems with a symmetry
that maps different openings onto each other. We investigate the joint
probability density of transmission eigenvalues for such systems in
random-matrix theory. In the orthogonal symmetry class we show that the
eigenvalue statistics manifests level repulsion between only every second
transmission eigenvalue. This finds its natural statistical interpretation as a
staggeredsuperposition of two eigenvalue sequences. For a large number of
channels, the statistics for a system with a lead-transposing symmetry
approaches that of a superposition of two uncorrelated sets of eigenvalues as
in systems with a lead-preserving symmetry (which can be desymmetrized). These
predictions are confirmed by numerical computations of the
transmission-eigenvalue spacing distribution for quantum billiards and for the
open kicked rotator.
| cond-mat.mes-hall | quantum systems with discrete symmetries can usually be desymmetrized but this strategy fails when considering transport in open systems with a symmetry that maps different openings onto each other we investigate the joint probability density of transmission eigenvalues for such systems in randommatrix theory in the orthogonal symmetry class we show that the eigenvalue statistics manifests level repulsion between only every second transmission eigenvalue this finds its natural statistical interpretation as a staggeredsuperposition of two eigenvalue sequences for a large number of channels the statistics for a system with a leadtransposing symmetry approaches that of a superposition of two uncorrelated sets of eigenvalues as in systems with a leadpreserving symmetry which can be desymmetrized these predictions are confirmed by numerical computations of the transmissioneigenvalue spacing distribution for quantum billiards and for the open kicked rotator | [['quantum', 'systems', 'with', 'discrete', 'symmetries', 'can', 'usually', 'be', 'desymmetrized', 'but', 'this', 'strategy', 'fails', 'when', 'considering', 'transport', 'in', 'open', 'systems', 'with', 'a', 'symmetry', 'that', 'maps', 'different', 'openings', 'onto', 'each', 'other', 'we', 'investigate', 'the', 'joint', 'probability', 'density', 'of', 'transmission', 'eigenvalues', 'for', 'such', 'systems', 'in', 'randommatrix', 'theory', 'in', 'the', 'orthogonal', 'symmetry', 'class', 'we', 'show', 'that', 'the', 'eigenvalue', 'statistics', 'manifests', 'level', 'repulsion', 'between', 'only', 'every', 'second', 'transmission', 'eigenvalue', 'this', 'finds', 'its', 'natural', 'statistical', 'interpretation', 'as', 'a', 'staggeredsuperposition', 'of', 'two', 'eigenvalue', 'sequences', 'for', 'a', 'large', 'number', 'of', 'channels', 'the', 'statistics', 'for', 'a', 'system', 'with', 'a', 'leadtransposing', 'symmetry', 'approaches', 'that', 'of', 'a', 'superposition', 'of', 'two', 'uncorrelated', 'sets', 'of', 'eigenvalues', 'as', 'in', 'systems', 'with', 'a', 'leadpreserving', 'symmetry', 'which', 'can', 'be', 'desymmetrized', 'these', 'predictions', 'are', 'confirmed', 'by', 'numerical', 'computations', 'of', 'the', 'transmissioneigenvalue', 'spacing', 'distribution', 'for', 'quantum', 'billiards', 'and', 'for', 'the', 'open', 'kicked', 'rotator']] | [-0.1789280283531416, 0.13500910138583366, -0.10162151726815878, 0.06366656952491385, 0.014284895235345563, -0.17157656364213988, 0.02604066265501679, 0.3528979733259282, -0.2781038537962746, -0.27104956494957094, 0.09654829004523523, -0.28616419598062076, -0.15689346248653668, 0.17826898120883994, -0.03278345858877283, 0.10410407673921222, 0.08811293369183985, 0.0480002056014589, -0.07382694997767854, -0.17756045256823103, 0.31872620819961184, 0.0005505878588483306, 0.26457357431321143, 0.007206851595729227, 0.061481685050628114, 0.01573434202818072, 0.04742639215009017, 0.02274215304051021, -0.07608017650203387, 0.11058655528010417, 0.24453425655525377, 0.08452253172685968, 0.24948241361523515, -0.38381932698832716, -0.22204673632744784, 0.10509866600472281, 0.16650895215926392, 0.14019588711191652, -0.043179483366205945, -0.2902280681603055, 0.059733304515025995, -0.14613038194116973, -0.15406980456514213, -0.06059366035611077, 0.009967201695073652, 0.03732672607426653, -0.2806506142844908, 0.10611640501639429, 0.0562421508672832, 0.06539460231784645, -0.017194665985302785, -0.09451038387820893, -0.016001639464685254, 0.11872329200259836, 0.021039032930886385, -0.06659685546698454, 0.07939844024287651, -0.10108743815945874, -0.15129050525538054, 0.4069339897566233, -0.015779101504866062, -0.24807077110211811, 0.17602982845882537, -0.17183707044850893, -0.1712338121657665, 0.09498469786050211, 0.1422540474228049, 0.06544292665474145, -0.11659396785537567, 0.08352740509888755, -0.06761145068933291, 0.16195004085569378, 0.07159353608535673, 0.04036316521224061, 0.23737410746002927, 0.11867264624976531, 0.08384202596489766, 0.12250744369643463, -0.059636907521386465, -0.14004460201804875, -0.296958826396984, -0.13892859488526602, -0.2500690484334153, 0.07301191844309161, -0.06572484848512077, -0.18755430017974767, 0.39849333685488647, 0.1032002266453764, 0.22053050898897056, 0.07303663762730639, 0.2648270906923154, 0.16056540148965445, 0.05186236326010429, 0.06601708570943136, 0.16494842293451875, 0.14636757520724172, 0.027749914995870973, -0.22273224610182144, -0.005218227776051819, 0.04901901708972704] |
708.0691 | Asymptotics for rank partition functions | In this paper, we obtain asymptotic formulas for an infinite class of rank
generating functions. As an application, we solve a conjecture of Andrews and
Lewis on inequalities between certain ranks.
| math.NT | in this paper we obtain asymptotic formulas for an infinite class of rank generating functions as an application we solve a conjecture of andrews and lewis on inequalities between certain ranks | [['in', 'this', 'paper', 'we', 'obtain', 'asymptotic', 'formulas', 'for', 'an', 'infinite', 'class', 'of', 'rank', 'generating', 'functions', 'as', 'an', 'application', 'we', 'solve', 'a', 'conjecture', 'of', 'andrews', 'and', 'lewis', 'on', 'inequalities', 'between', 'certain', 'ranks']] | [-0.11840020036775499, 0.04745549357950597, -0.08322048349486243, 0.1031783894117501, -0.06334786428018443, -0.09393070375306471, 0.050423709288870376, 0.2848622786902612, -0.23687738420501833, -0.30397420292419775, 0.09552276543446726, -0.2634143564895156, -0.22433979508857574, 0.2683827430009842, -0.13295196409613239, 0.036094403345017664, -0.04999925855607275, 0.03413453182926582, -0.14472938139712618, -0.32270910314494566, 0.36376295446027673, -0.029220569728603287, 0.20721749467174372, 0.14399534851432808, 0.1362709455913113, 0.04992904895616154, 0.004671141219836089, -0.019524015366069732, -0.19390132557600737, 0.17336851343392365, 0.297452426124965, 0.17212701623418158, 0.3100417880040984, -0.3574597976741291, -0.04745721583434891, 0.19415702137555327, 0.1250461730204763, 0.09182855814334846, -0.04946503594833156, -0.21817539896695845, 0.08260779677619857, -0.23717082424029226, -0.2287980796348664, -0.12242141672440114, 0.06387533600847688, 0.03658002135794489, -0.3401971190506893, 0.0414762411026224, 0.09578003148518262, 0.12255250750064489, -0.10901012950606885, -0.10882863836483128, 0.10266145873033712, 0.10204922841982014, 0.09956703040628664, -0.06667110420042469, -0.04920470855769611, -0.1057946741986539, -0.1445539323312621, 0.24828701739710185, 0.01772656704809877, -0.25819292940920396, 0.12230897971218632, -0.0502750909016017, -0.24596928096105974, -0.003982516441253885, 0.19873978377830598, 0.23213024838590965, -0.08286466091991432, 0.11809467040415432, -0.2079452543008712, 0.08025301596330058, 0.22741751889547995, -0.001956610039116875, 0.08705883987638499, 0.02789051180344916, 0.09760722100374199, 0.26752985641360283, 0.0341414348297422, -0.018952517920444088, -0.33359656044312064, -0.2509755923623039, -0.21572956635105994, 0.11125654655118142, -0.13266724594371138, -0.2402847368089903, 0.37974259028992347, 0.10168143991200675, 0.1909122554014527, 0.20301098178230947, 0.18198904721817422, 0.1830596279675862, -0.01934544910909608, 0.05121906990966489, 0.06854993243882011, 0.2308118877511832, 0.028386152124092463, -0.09660223694217782, 0.06386610745422301, 0.2569666432457105] |
708.0692 | Dyson's Rank, overpartitions, and weak Maass forms | In a series of papers the first author and Ono connected the rank, a
partition statistic introduced by Dyson, to weak Maass forms, a new class of
functions which are related to modular forms. Naturally it is of wide interest
to find other explicit examples of Maass forms. Here we construct a new
infinite family of such forms, arising from overpartitions. As applications we
obtain combinatorial decompositions of Ramanujan-type congruences for
overpartitions as well as the modularity of rank differences in certain
arithmetic progressions.
| math.NT | in a series of papers the first author and ono connected the rank a partition statistic introduced by dyson to weak maass forms a new class of functions which are related to modular forms naturally it is of wide interest to find other explicit examples of maass forms here we construct a new infinite family of such forms arising from overpartitions as applications we obtain combinatorial decompositions of ramanujantype congruences for overpartitions as well as the modularity of rank differences in certain arithmetic progressions | [['in', 'a', 'series', 'of', 'papers', 'the', 'first', 'author', 'and', 'ono', 'connected', 'the', 'rank', 'a', 'partition', 'statistic', 'introduced', 'by', 'dyson', 'to', 'weak', 'maass', 'forms', 'a', 'new', 'class', 'of', 'functions', 'which', 'are', 'related', 'to', 'modular', 'forms', 'naturally', 'it', 'is', 'of', 'wide', 'interest', 'to', 'find', 'other', 'explicit', 'examples', 'of', 'maass', 'forms', 'here', 'we', 'construct', 'a', 'new', 'infinite', 'family', 'of', 'such', 'forms', 'arising', 'from', 'overpartitions', 'as', 'applications', 'we', 'obtain', 'combinatorial', 'decompositions', 'of', 'ramanujantype', 'congruences', 'for', 'overpartitions', 'as', 'well', 'as', 'the', 'modularity', 'of', 'rank', 'differences', 'in', 'certain', 'arithmetic', 'progressions']] | [-0.1703604441801352, 0.06284684081107289, -0.09398049797995814, 0.13927149524984306, -0.12857348899844856, -0.08420248789757136, 0.0008693620052543425, 0.26958051779850695, -0.3169705471733496, -0.28476752069157857, 0.08384604257021454, -0.2762309023611514, -0.25723177496166455, 0.24496289600972973, -0.07611803910029787, 0.06515951600435767, -0.02031514304690063, 0.046101595990226736, -0.10592653013208335, -0.2993424157168539, 0.41323010039161, -0.026241777298439826, 0.17373165588582024, 0.025159900542348623, 0.0700065993767653, -0.002405342960541713, -0.016686629082652785, -0.04892892389380861, -0.13767884936117167, 0.1924414868172746, 0.3472209425665261, 0.10261685473267876, 0.2748910771947738, -0.36121018969320823, -0.12167250546571311, 0.13402510966019085, 0.11485786206044611, 0.0398720675078775, -0.03086082207127696, -0.24827397931810646, 0.03803097476096203, -0.21573438244966037, -0.16118882992096978, -0.15921301804926424, 0.06539807476413746, 0.11304759315680712, -0.28083845832207727, 0.030621929063705637, 0.08669903525844261, 0.10871556946741683, -0.05162449207689081, -0.1857692253653936, 0.03950923524098471, 0.0871601637086964, 0.06740558720360111, -0.0019337090267245436, 0.02568828245247936, -0.11954268904048063, -0.14192303874352502, 0.3251522042909138, -0.01767090216855563, -0.19165101037582472, 0.13874120853142813, -0.11954041230603166, -0.2777489426689932, 0.08640944783110172, 0.1486186730409307, 0.14403592583160693, -0.05797778782878248, 0.10597377383480004, -0.13092770495651557, 0.0769328827016233, 0.2218701947269784, 0.0058567704344611796, 0.1479441711479532, 0.013844752656517639, 0.06099641508245397, 0.23227254436642397, 0.028322407787310936, -0.026399797017109535, -0.3157238452917054, -0.21037970042033566, -0.18123275401913339, 0.11196525107758741, -0.098756468657874, -0.2678040966302866, 0.4454034887076843, 0.0388861844382648, 0.183499257723313, 0.14439456866793557, 0.1798785919063015, 0.10185961270499752, 0.10461145396056097, -0.02053126130097856, 0.0921299817384265, 0.2226215117705232, -0.015576101207573499, -0.025057139953354464, 0.002379006922378072, 0.1970318646691296] |
708.0693 | Stretch fast dynamo mechanism via conformal mapping in Riemannian
manifolds | Two new analytical solutions of self-induction equation, in Riemannian
manifolds are presented. The first represents a twisted magnetic flux tube or
flux rope in plasma astrophysics, which shows that the depending on rotation of
the flow the poloidal field is amplified from toroidal field which represents a
dynamo. The value of the amplification depends on the Frenet torsion of the
magnetic axis of the tube. Actually this result illustrates the Zeldovich
stretch, twist and fold (STF) method to generate dynamos from straight and
untwisted ropes. Motivated by the fact that this problem was treated using a
Riemannian geometry of twisted magnetic flux ropes recently developed (Phys
Plasmas (2006)), we investigated a second dynamo solution which is conformally
related to the Arnold kinematic fast dynamo. In this solution it is shown that
the conformal effect on the fast dynamo metric only enhances the Zeldovich
stretch, and therefore a new dynamo solution is obtained. When a conformal
mapping is performed in Arnold fast dynamo line element a uniform stretch is
obtained in the original line element.
| math-ph math.MP | two new analytical solutions of selfinduction equation in riemannian manifolds are presented the first represents a twisted magnetic flux tube or flux rope in plasma astrophysics which shows that the depending on rotation of the flow the poloidal field is amplified from toroidal field which represents a dynamo the value of the amplification depends on the frenet torsion of the magnetic axis of the tube actually this result illustrates the zeldovich stretch twist and fold stf method to generate dynamos from straight and untwisted ropes motivated by the fact that this problem was treated using a riemannian geometry of twisted magnetic flux ropes recently developed phys plasmas 2006 we investigated a second dynamo solution which is conformally related to the arnold kinematic fast dynamo in this solution it is shown that the conformal effect on the fast dynamo metric only enhances the zeldovich stretch and therefore a new dynamo solution is obtained when a conformal mapping is performed in arnold fast dynamo line element a uniform stretch is obtained in the original line element | [['two', 'new', 'analytical', 'solutions', 'of', 'selfinduction', 'equation', 'in', 'riemannian', 'manifolds', 'are', 'presented', 'the', 'first', 'represents', 'a', 'twisted', 'magnetic', 'flux', 'tube', 'or', 'flux', 'rope', 'in', 'plasma', 'astrophysics', 'which', 'shows', 'that', 'the', 'depending', 'on', 'rotation', 'of', 'the', 'flow', 'the', 'poloidal', 'field', 'is', 'amplified', 'from', 'toroidal', 'field', 'which', 'represents', 'a', 'dynamo', 'the', 'value', 'of', 'the', 'amplification', 'depends', 'on', 'the', 'frenet', 'torsion', 'of', 'the', 'magnetic', 'axis', 'of', 'the', 'tube', 'actually', 'this', 'result', 'illustrates', 'the', 'zeldovich', 'stretch', 'twist', 'and', 'fold', 'stf', 'method', 'to', 'generate', 'dynamos', 'from', 'straight', 'and', 'untwisted', 'ropes', 'motivated', 'by', 'the', 'fact', 'that', 'this', 'problem', 'was', 'treated', 'using', 'a', 'riemannian', 'geometry', 'of', 'twisted', 'magnetic', 'flux', 'ropes', 'recently', 'developed', 'phys', 'plasmas', '2006', 'we', 'investigated', 'a', 'second', 'dynamo', 'solution', 'which', 'is', 'conformally', 'related', 'to', 'the', 'arnold', 'kinematic', 'fast', 'dynamo', 'in', 'this', 'solution', 'it', 'is', 'shown', 'that', 'the', 'conformal', 'effect', 'on', 'the', 'fast', 'dynamo', 'metric', 'only', 'enhances', 'the', 'zeldovich', 'stretch', 'and', 'therefore', 'a', 'new', 'dynamo', 'solution', 'is', 'obtained', 'when', 'a', 'conformal', 'mapping', 'is', 'performed', 'in', 'arnold', 'fast', 'dynamo', 'line', 'element', 'a', 'uniform', 'stretch', 'is', 'obtained', 'in', 'the', 'original', 'line', 'element']] | [-0.18323648700707368, 0.12814237823811542, -0.046547622706248674, 0.07824571995565069, -0.12126251188208531, -0.06889189471324755, -0.03885970047097011, 0.3451879087343127, -0.2316443367584223, -0.27650066002555745, 0.06658629629220385, -0.16847667288056564, -0.1319535019601449, 0.24402609001176068, -0.06522778740469513, 0.008122223006539989, 0.059785224863959624, 0.030694854857223428, -0.01012469943875083, -0.1963888453025285, 0.30744256868011094, 0.08374480407513764, 0.2913889305708908, 0.003439772279997324, 0.11129618017805805, -0.1106701126568362, -0.03006956999955549, 0.06722183015408936, -0.142345555862166, 0.056834370232034664, 0.13858247760164114, 0.03458964553107668, 0.19325765028017863, -0.4515078558062, -0.22627584694285247, 0.010870927546023467, 0.16036766426284507, 0.10321752540834098, -0.028242413157292097, -0.25464218478093203, 0.0600386677288461, -0.09159530297954749, -0.15172119511708873, -0.023014678269217926, 0.04113388389493499, -0.0064025520719721615, -0.2881186163493154, 0.06936679982671236, 0.08487705305224048, 0.08135368426640828, -0.08759688740681815, -0.04387076436702547, -0.05472411499452381, 0.055798137539913396, 0.11709772834779117, 0.14387308276022903, 0.1776620870584558, -0.1305849984493615, -0.07632166642197889, 0.35131495349623004, -0.06329789742474155, -0.2109811574664909, 0.09853692976597311, -0.16811429783059606, -0.135863148524351, 0.187973556661411, 0.10959651697180822, 0.13853565595733622, -0.09686312376397418, 0.09501314232956842, -0.09074975649997506, 0.1062831371787122, 0.09660951846450481, -0.14404609527013362, 0.21229533227588768, 0.16122874965183384, 0.09000199395178378, 0.13950741040017242, -0.11322443541166126, -0.07187709164934168, -0.3090350774288092, -0.16450058566888087, -0.15973875381657318, 0.12329686802795864, -0.08206319271818663, -0.24199237026078171, 0.4204515187797704, 0.09054937750499512, 0.14239511975815156, -0.019081507084875143, 0.28528997243178644, 0.1048271602037063, 0.04931460011813351, 0.1613042909456631, 0.33046913347153484, 0.25641826800225925, 0.157156696537076, -0.25967162373578095, -0.033871072484983195, 0.1739461213609889] |
708.0694 | Reconstruction of Protein-Protein Interaction Pathways by Mining
Subject-Verb-Objects Intermediates | The exponential increase in publication rate of new articles is limiting
access of researchers to relevant literature. This has prompted the use of text
mining tools to extract key biological information. Previous studies have
reported extensive modification of existing generic text processors to process
biological text. However, this requirement for modification had not been
examined. In this study, we have constructed Muscorian, using MontyLingua, a
generic text processor. It uses a two-layered generalization-specialization
paradigm previously proposed where text was generically processed to a suitable
intermediate format before domain-specific data extraction techniques are
applied at the specialization layer. Evaluation using a corpus and experts
indicated 86-90% precision and approximately 30% recall in extracting
protein-protein interactions, which was comparable to previous studies using
either specialized biological text processing tools or modified existing tools.
Our study had also demonstrated the flexibility of the two-layered
generalization-specialization paradigm by using the same generalization layer
for two specialized information extraction tasks.
| cs.IR cs.CL cs.DL | the exponential increase in publication rate of new articles is limiting access of researchers to relevant literature this has prompted the use of text mining tools to extract key biological information previous studies have reported extensive modification of existing generic text processors to process biological text however this requirement for modification had not been examined in this study we have constructed muscorian using montylingua a generic text processor it uses a twolayered generalizationspecialization paradigm previously proposed where text was generically processed to a suitable intermediate format before domainspecific data extraction techniques are applied at the specialization layer evaluation using a corpus and experts indicated 8690 precision and approximately 30 recall in extracting proteinprotein interactions which was comparable to previous studies using either specialized biological text processing tools or modified existing tools our study had also demonstrated the flexibility of the twolayered generalizationspecialization paradigm by using the same generalization layer for two specialized information extraction tasks | [['the', 'exponential', 'increase', 'in', 'publication', 'rate', 'of', 'new', 'articles', 'is', 'limiting', 'access', 'of', 'researchers', 'to', 'relevant', 'literature', 'this', 'has', 'prompted', 'the', 'use', 'of', 'text', 'mining', 'tools', 'to', 'extract', 'key', 'biological', 'information', 'previous', 'studies', 'have', 'reported', 'extensive', 'modification', 'of', 'existing', 'generic', 'text', 'processors', 'to', 'process', 'biological', 'text', 'however', 'this', 'requirement', 'for', 'modification', 'had', 'not', 'been', 'examined', 'in', 'this', 'study', 'we', 'have', 'constructed', 'muscorian', 'using', 'montylingua', 'a', 'generic', 'text', 'processor', 'it', 'uses', 'a', 'twolayered', 'generalizationspecialization', 'paradigm', 'previously', 'proposed', 'where', 'text', 'was', 'generically', 'processed', 'to', 'a', 'suitable', 'intermediate', 'format', 'before', 'domainspecific', 'data', 'extraction', 'techniques', 'are', 'applied', 'at', 'the', 'specialization', 'layer', 'evaluation', 'using', 'a', 'corpus', 'and', 'experts', 'indicated', '8690', 'precision', 'and', 'approximately', '30', 'recall', 'in', 'extracting', 'proteinprotein', 'interactions', 'which', 'was', 'comparable', 'to', 'previous', 'studies', 'using', 'either', 'specialized', 'biological', 'text', 'processing', 'tools', 'or', 'modified', 'existing', 'tools', 'our', 'study', 'had', 'also', 'demonstrated', 'the', 'flexibility', 'of', 'the', 'twolayered', 'generalizationspecialization', 'paradigm', 'by', 'using', 'the', 'same', 'generalization', 'layer', 'for', 'two', 'specialized', 'information', 'extraction', 'tasks']] | [-0.037868695168107674, 0.0013416417831786317, -0.06463724812926433, 0.0575731613227225, -0.1514327392861661, -0.1686871176132068, 0.03726608285777806, 0.38108158854195495, -0.2537411452191912, -0.32831538389467335, 0.08671924575107184, -0.28835446252700647, -0.1370943303332585, 0.21464832080071608, -0.0723885858638419, 0.10807393473311284, 0.10980655800465958, 0.05555519319574647, -0.02436830726713916, -0.2869088860727798, 0.2738806026305979, 0.06770859625923989, 0.3700170861557126, 0.03859685617308832, 0.07370770651713208, -0.018799918343075643, -0.11930127361609777, -0.030137887297599922, -0.1233167888359258, 0.16893767186568356, 0.3463855874998605, 0.2009749091915129, 0.293453686584542, -0.4193487938956108, -0.25852199670937814, 0.0578759558547556, 0.18129338003585443, 0.1259890178502294, -0.06859103665805842, -0.2917327481790695, 0.12429286737384554, -0.18810857560567776, -0.020450298659186933, -0.11439081784824726, 0.018753085270207498, -0.002591977499309757, -0.2526149908537228, 0.025061825818185897, 0.07809663795884333, 0.12754817024754814, 0.010955188150998522, -0.1434861369997117, 0.06901429962744218, 0.15465718735271175, 0.04079820844021419, 0.08689117341551905, 0.16492732240532348, -0.12307720590729777, -0.14757278229237772, 0.34019536796494637, -0.033963782959343755, -0.19887817394158808, 0.19034143928681907, -0.02260774491717004, -0.21481695091899702, 0.10138243920279338, 0.16888162296788853, 0.07372220607437924, -0.21745815268090737, 0.03698308456588682, -0.008446875548757175, 0.2232013458836507, 0.1260221501594726, -0.013704109833472304, 0.14334575659017157, 0.2354140757930045, -0.06741321583284564, 0.13099852126103892, -0.05677923930312805, -0.08352812211899684, -0.18012187092068904, -0.13569564654132704, -0.18177316615318428, 0.003396369964344689, -0.06208346606124941, -0.11398470380459151, 0.36383294407887007, 0.17667839586205197, 0.15401567669061858, 0.007356026350654467, 0.3157263231262857, 0.019708360242124745, 0.16062487255659386, 0.04332956884396255, 0.18141768472893102, 0.04072486309127675, 0.20496137772254597, -0.09744966062116041, 0.1076074391451293, 0.019995614175617793] |
708.0695 | Direct observation of quantized interlayer vortex flow and vortex
pinning distribution in high-Tc La_(1.87)Sr_(0.13)CuO_4 single crystals | A scanning superconducting quantum interference device (SQUID) microscope
(SSM) is used to study the magnetic imaging of dynamic motion of quantized
interlayer vortices induced by the Lorentz force in anisotropic high-Tc
La_(1.87)Sr_(0.13)CuO_4 single crystals. It is found that 3 modes of flux
motion switch depending on the transport current. By increasing the current a
transition from the creep-like behavior of vortices to a steady flow of
vortices was observed. Even higher current induced a continuous expansion of
vortex-flow area indicating an inhomogeneous distribution of various pinning
centers.
| cond-mat.supr-con | a scanning superconducting quantum interference device squid microscope ssm is used to study the magnetic imaging of dynamic motion of quantized interlayer vortices induced by the lorentz force in anisotropic hightc la_187sr_013cuo_4 single crystals it is found that 3 modes of flux motion switch depending on the transport current by increasing the current a transition from the creeplike behavior of vortices to a steady flow of vortices was observed even higher current induced a continuous expansion of vortexflow area indicating an inhomogeneous distribution of various pinning centers | [['a', 'scanning', 'superconducting', 'quantum', 'interference', 'device', 'squid', 'microscope', 'ssm', 'is', 'used', 'to', 'study', 'the', 'magnetic', 'imaging', 'of', 'dynamic', 'motion', 'of', 'quantized', 'interlayer', 'vortices', 'induced', 'by', 'the', 'lorentz', 'force', 'in', 'anisotropic', 'hightc', 'la_187sr_013cuo_4', 'single', 'crystals', 'it', 'is', 'found', 'that', '3', 'modes', 'of', 'flux', 'motion', 'switch', 'depending', 'on', 'the', 'transport', 'current', 'by', 'increasing', 'the', 'current', 'a', 'transition', 'from', 'the', 'creeplike', 'behavior', 'of', 'vortices', 'to', 'a', 'steady', 'flow', 'of', 'vortices', 'was', 'observed', 'even', 'higher', 'current', 'induced', 'a', 'continuous', 'expansion', 'of', 'vortexflow', 'area', 'indicating', 'an', 'inhomogeneous', 'distribution', 'of', 'various', 'pinning', 'centers']] | [-0.22326713632304915, 0.237109183725193, -0.048177175527048664, 0.0010362457697886194, -0.049842137226098496, -0.13738426147028804, 0.04719585460491565, 0.3674118504101454, -0.27365545647998535, -0.28762201790502945, 0.017715814184982245, -0.2823872755953046, -0.10854719800679663, 0.1974607485043275, 0.006673225483228994, 0.042979435729902496, -0.024378927343330064, -0.004663491155952215, -0.04623570971104295, -0.16484577020597752, 0.2833286436642845, 0.022291265111308287, 0.41389180208707965, 0.03311591703163157, 0.087145310171425, -0.020138987315667056, 0.06758648578380776, 0.09220739599144043, -0.14309190952012296, 0.06336304298493751, 0.17704516881535393, -0.07435618380496148, 0.18226788819464312, -0.48450997315867, -0.2365986161897782, 0.04428170191199887, 0.1573864987775207, 0.1356631323348644, -0.05342438657426947, -0.29494984870300045, 0.023259567898200002, -0.12238415606796395, -0.12468394441638402, -0.03540209302513557, 0.020320796472735183, 0.04550402531086272, -0.24254653451227864, 0.10815071446691142, 0.06347995303397955, 0.0978340687349352, -0.08702873501406852, -0.01721971182607461, -0.04492592666606787, 0.0670173948544056, 0.030239928616643992, 0.09143328734099605, 0.23469433102886691, -0.20520015503279865, -0.14645624350279915, 0.31506473176874394, -0.04982037032239659, -0.10838914228884806, 0.11486451403606077, -0.19717299415145156, -0.0041075361795117, 0.19502128936556104, 0.10322206569185784, 0.08437981830671602, -0.1560515411912875, 0.014499479655696208, 0.002681719983906247, 0.15480608072911584, 0.09100433234341962, 0.006763188555555115, 0.269248322437539, 0.21164862496567197, 0.09077051741092704, 0.14658748776500308, -0.16276192683780696, -0.062484476152201034, -0.23477817278052138, -0.14591768033380165, -0.21789468102546972, 0.11038329349397573, -0.050868703301476186, -0.20506475764045187, 0.37709527927299225, 0.13079527849439793, 0.1734724866935637, -0.10764782836519961, 0.28954147992027535, 0.12358583355062576, 0.09764976325163315, 0.012847214038375505, 0.2589993786369992, 0.16245360193275954, 0.1638545307525715, -0.3347519039214307, 0.03657205067683271, 0.0009560215471009182] |
708.0696 | Thermal Timescale Mass Transfer Rates in Intermediate-Mass X-ray
Binaries | Thermal timescale mass transfer generally occurs in close binaries where the
donor star is more massive than the accreting star. The mass transfer rates are
usually estimated in terms of the Kelvin-Helmholtz timescale of the donor star.
But recent investigations indicate that this method may overestimate the real
mass transfer rates in accreting white dwarf or neutron star binary systems. We
have systematically investigated the thermal-timescale mass transfer processes
in intermediate-mass X-ray binaries, by calculating binary evolution sequences
with various initial donor masses and orbital periods. From the calculated
results we find that on average the mass transfer rates are lower than
traditional estimates by a factor of $\sim 4$.
| astro-ph | thermal timescale mass transfer generally occurs in close binaries where the donor star is more massive than the accreting star the mass transfer rates are usually estimated in terms of the kelvinhelmholtz timescale of the donor star but recent investigations indicate that this method may overestimate the real mass transfer rates in accreting white dwarf or neutron star binary systems we have systematically investigated the thermaltimescale mass transfer processes in intermediatemass xray binaries by calculating binary evolution sequences with various initial donor masses and orbital periods from the calculated results we find that on average the mass transfer rates are lower than traditional estimates by a factor of sim 4 | [['thermal', 'timescale', 'mass', 'transfer', 'generally', 'occurs', 'in', 'close', 'binaries', 'where', 'the', 'donor', 'star', 'is', 'more', 'massive', 'than', 'the', 'accreting', 'star', 'the', 'mass', 'transfer', 'rates', 'are', 'usually', 'estimated', 'in', 'terms', 'of', 'the', 'kelvinhelmholtz', 'timescale', 'of', 'the', 'donor', 'star', 'but', 'recent', 'investigations', 'indicate', 'that', 'this', 'method', 'may', 'overestimate', 'the', 'real', 'mass', 'transfer', 'rates', 'in', 'accreting', 'white', 'dwarf', 'or', 'neutron', 'star', 'binary', 'systems', 'we', 'have', 'systematically', 'investigated', 'the', 'thermaltimescale', 'mass', 'transfer', 'processes', 'in', 'intermediatemass', 'xray', 'binaries', 'by', 'calculating', 'binary', 'evolution', 'sequences', 'with', 'various', 'initial', 'donor', 'masses', 'and', 'orbital', 'periods', 'from', 'the', 'calculated', 'results', 'we', 'find', 'that', 'on', 'average', 'the', 'mass', 'transfer', 'rates', 'are', 'lower', 'than', 'traditional', 'estimates', 'by', 'a', 'factor', 'of', 'sim', '4']] | [-0.09737083569740537, 0.1981411707037213, -0.015164093122902242, 0.16005279435352845, -0.033611697201955726, -0.07391562421636826, 0.0759188100547445, 0.3938759741161696, -0.1564081440679729, -0.3663791328668594, 0.08515090198594738, -0.28459075825759844, -0.03324973497074098, 0.2662031540689482, -0.036796555964445525, -0.006917828820984472, 0.18136189462172544, 0.012520315637282857, -0.15837152772159738, -0.249227052369282, 0.3790866953405467, 0.06268036036159505, 0.12577632004289296, -0.02577175213108686, 0.004020845085721124, -0.05302948634013195, -0.023251279739832337, -0.1222355090843683, -0.1758163008125848, 0.03241510998318104, 0.21337896825915034, 0.10371708246794614, 0.20175996192900295, -0.3706667279824615, -0.2553089597516439, 0.05071186361919072, 0.1904245871055702, 0.07520404618064111, -0.11840612034443025, -0.1730911525305022, 0.09508978396400132, -0.2900416614572433, -0.07521024692210962, 0.03506668337028135, 0.08282895398918878, 0.05692025727846406, -0.27401835403659125, 0.19614439498294484, 0.07071868212131614, -0.00202426734930751, -0.18303794793742287, -0.14776190405880862, -0.09795837350380183, 0.0799618210199035, 0.07730271582364698, 0.06890794645613905, 0.20413367869332433, -0.11822953779377382, -0.0377487539483065, 0.34917259812831286, -0.06790570612621112, -0.0645564791714688, 0.24508040798404676, -0.24111235207793388, -0.0953033543260641, 0.15620105627670205, 0.18376509783874181, 0.2188922730401497, -0.18561415264213627, -0.06800189965288155, 0.048517515624619346, 0.22708934389308771, 0.0746499064463106, 0.05732260775032707, 0.3586161794775928, 0.1662013895693235, -0.04157945669298484, 0.052995499314486307, -0.18311070849991995, -0.11374288978563114, -0.0920125136109577, -0.06499931521883065, -0.15256177227182144, 0.1452477266461673, -0.12530618629045256, -0.07577769713137637, 0.2605544896965677, 0.09341988333776086, 0.22534903361123393, 0.03416989458597858, 0.2994084468280727, 0.18053137433969163, 0.10906919754554771, 0.1290058419870382, 0.30815131375566124, 0.19452584459107708, 0.07976363747888668, -0.3071292553562671, 0.09378161486767402, 0.02283939006315036] |
708.0697 | Regularity of some class of nonlinear transformations | In this paper we consider quadratic stochastic operators designed on finite
Abelian groups. It is proved that such operators have the property of
regularity.
| math.DS | in this paper we consider quadratic stochastic operators designed on finite abelian groups it is proved that such operators have the property of regularity | [['in', 'this', 'paper', 'we', 'consider', 'quadratic', 'stochastic', 'operators', 'designed', 'on', 'finite', 'abelian', 'groups', 'it', 'is', 'proved', 'that', 'such', 'operators', 'have', 'the', 'property', 'of', 'regularity']] | [-0.16290848850621842, 0.1320345028458784, -0.0806597516251107, 0.11871828744187951, -0.09332031680969521, -0.125963205161194, -0.04799406691745389, 0.37435033979515236, -0.3112354171462357, -0.16554036076801518, 0.14702395269705448, -0.2730181797718008, -0.20435520777634034, 0.16024540710107735, -0.14570495360142863, 0.07814878264131646, 0.02542214933782816, 0.0901211944874376, -0.05096026682682956, -0.3301283801847603, 0.4545029349004229, -0.06285425244520108, 0.25276222669829923, 0.07672638056101277, 0.1570643433757747, 0.017409957440880437, -0.06645766566119467, 0.012963704609622559, -0.11255025942379386, 0.081689243321307, 0.3188869757577777, 0.04248860491982972, 0.324374512458841, -0.4235681586433202, -0.21698142603660622, 0.2585646334725122, 0.10125389353561332, 0.02025348786264658, -0.10766847736764855, -0.23006240705338618, 0.16324385053303558, -0.18173354088018337, -0.15105238816856095, -0.10365936055313796, 0.0007400515023618937, 0.0284012690341721, -0.26215434120967984, -0.008882660806799928, 0.15289384227556488, 0.1215798817963029, -0.08181345975026488, -0.058973098755814135, 0.00752682836415867, 0.01698590605519712, 0.02306547105642191, -0.045966428180690855, 0.017805682747469593, -0.01799354181275703, -0.12438566243993894, 0.3354709263658151, -0.07683363510295749, -0.2969827652753641, 0.1562984140473418, -0.15467560749190548, -0.2083659164297084, -0.005382037566353877, 0.19855814970408878, 0.21940901634904245, -0.15069496103872856, 0.2700026460612814, -0.16245980902264515, 0.06559244772264113, 0.0560573081796368, 0.06882368678149457, 0.014489405128794411, 0.09591315158953269, 0.20521374552481575, 0.175182467016081, 0.08107609246508218, -0.04698314005509019, -0.31196812241493416, -0.13721113205732158, -0.11962372638906042, 0.10626062088704202, -0.04890212063522389, -0.22020895392051898, 0.39952830659846467, 0.16163376901143542, 0.0973477370183294, 0.1206318815626825, 0.20050964473436275, 0.1989298235081757, 0.13501632221353552, 0.07388799030256148, 0.16350076595942178, 0.16692346629376212, 0.045947777902862676, -0.17384799408804005, 0.03644830145640299, 0.2186070253374055] |
708.0698 | Calculation of absolute free energy of binding for theophylline and its
analogs to RNA aptamer using nonequilibrium work values | The massively parallel computation of absolute binding free energy with a
well-equilibrated system (MP-CAFEE) has been developed [H. Fujitani, Y. Tanida,
M. Ito, G. Jayachandran, C. D. Snow, M. R. Shirts, E. J. Sorin, and V. S.
Pande, J. Chem. Phys. ${\bf 123}$, 084108 (2005)]. As an application, we
perform the binding affinity calculations of six theophylline-related ligands
with RNA aptamer. Basically, our method is applicable when using many compute
nodes to accelerate simulations, thus a parallel computing system is also
developed. To further reduce the computational cost, the adequate non-uniform
intervals of coupling constant $\lambda$, connecting two equilibrium states,
namely bound and unbound, are determined. The absolute binding energies $\Delta
G$ thus obtained have effective linear relation between the computed and
experimental values. If the results of two other different methods are
compared, thermodynamic integration (TI) and molecular mechanics
Poisson-Boltzmann surface area (MM-PBSA) by the paper of Gouda $et al$ [H.
Gouda, I. D. Kuntz, D. A. Case, and P. A. Kollman, Biopolymers ${\bf 68}$, 16
(2003)], the predictive accuracy of the relative values $\Delta\Delta G$ is
almost comparable to that of TI: the correlation coefficients (R) obtained are
0.99 (this work), 0.97 (TI), and 0.78 (MM-PBSA). On absolute binding energies
meanwhile, a constant energy shift of $\sim$ -7 kcal/mol against the
experimental values is evident. To solve this problem, several presumable
reasons are investigated.
| cond-mat.soft | the massively parallel computation of absolute binding free energy with a wellequilibrated system mpcafee has been developed h fujitani y tanida m ito g jayachandran c d snow m r shirts e j sorin and v s pande j chem phys bf 123 084108 2005 as an application we perform the binding affinity calculations of six theophyllinerelated ligands with rna aptamer basically our method is applicable when using many compute nodes to accelerate simulations thus a parallel computing system is also developed to further reduce the computational cost the adequate nonuniform intervals of coupling constant lambda connecting two equilibrium states namely bound and unbound are determined the absolute binding energies delta g thus obtained have effective linear relation between the computed and experimental values if the results of two other different methods are compared thermodynamic integration ti and molecular mechanics poissonboltzmann surface area mmpbsa by the paper of gouda et al h gouda i d kuntz d a case and p a kollman biopolymers bf 68 16 2003 the predictive accuracy of the relative values deltadelta g is almost comparable to that of ti the correlation coefficients r obtained are 099 this work 097 ti and 078 mmpbsa on absolute binding energies meanwhile a constant energy shift of sim 7 kcalmol against the experimental values is evident to solve this problem several presumable reasons are investigated | [['the', 'massively', 'parallel', 'computation', 'of', 'absolute', 'binding', 'free', 'energy', 'with', 'a', 'wellequilibrated', 'system', 'mpcafee', 'has', 'been', 'developed', 'h', 'fujitani', 'y', 'tanida', 'm', 'ito', 'g', 'jayachandran', 'c', 'd', 'snow', 'm', 'r', 'shirts', 'e', 'j', 'sorin', 'and', 'v', 's', 'pande', 'j', 'chem', 'phys', 'bf', '123', '084108', '2005', 'as', 'an', 'application', 'we', 'perform', 'the', 'binding', 'affinity', 'calculations', 'of', 'six', 'theophyllinerelated', 'ligands', 'with', 'rna', 'aptamer', 'basically', 'our', 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708.0699 | The Spitzer 24-micron Photometric Light Curve of the Eclipsing M-dwarf
Binary GU Bootis | We present a carefully controlled set of Spitzer 24 \micron MIPS time series
observations of the low mass eclipsing binary star GU Bo\"otis (GU Boo). Our
data cover three secondary eclipses of the system: two consecutive events and
an additional eclipse six weeks later. The study's main purpose is the long
wavelength characterization of GU Boo's light curve, independent of limb
darkening and less sensitive to surface features such as spots. Its analysis
allows for independent verification of the results of optical studies of GU
Boo. Our mid-infrared results show good agreement with previously obtained
system parameters. In addition, the analysis of light curves of other objects
in the field of view serves to characterize the photometric stability and
repeatability of {\it Spitzer's} MIPS-24 at flux densities between
approximately 300--2,000$\mu$Jy. We find that the light curve root mean square
about the median level falls into the 1--4% range for flux densities higher
than 1 mJy.
| astro-ph | we present a carefully controlled set of spitzer 24 micron mips time series observations of the low mass eclipsing binary star gu bootis gu boo our data cover three secondary eclipses of the system two consecutive events and an additional eclipse six weeks later the studys main purpose is the long wavelength characterization of gu boos light curve independent of limb darkening and less sensitive to surface features such as spots its analysis allows for independent verification of the results of optical studies of gu boo our midinfrared results show good agreement with previously obtained system parameters in addition the analysis of light curves of other objects in the field of view serves to characterize the photometric stability and repeatability of it spitzers mips24 at flux densities between approximately 3002000mujy we find that the light curve root mean square about the median level falls into the 14 range for flux densities higher than 1 mjy | [['we', 'present', 'a', 'carefully', 'controlled', 'set', 'of', 'spitzer', '24', 'micron', 'mips', 'time', 'series', 'observations', 'of', 'the', 'low', 'mass', 'eclipsing', 'binary', 'star', 'gu', 'bootis', 'gu', 'boo', 'our', 'data', 'cover', 'three', 'secondary', 'eclipses', 'of', 'the', 'system', 'two', 'consecutive', 'events', 'and', 'an', 'additional', 'eclipse', 'six', 'weeks', 'later', 'the', 'studys', 'main', 'purpose', 'is', 'the', 'long', 'wavelength', 'characterization', 'of', 'gu', 'boos', 'light', 'curve', 'independent', 'of', 'limb', 'darkening', 'and', 'less', 'sensitive', 'to', 'surface', 'features', 'such', 'as', 'spots', 'its', 'analysis', 'allows', 'for', 'independent', 'verification', 'of', 'the', 'results', 'of', 'optical', 'studies', 'of', 'gu', 'boo', 'our', 'midinfrared', 'results', 'show', 'good', 'agreement', 'with', 'previously', 'obtained', 'system', 'parameters', 'in', 'addition', 'the', 'analysis', 'of', 'light', 'curves', 'of', 'other', 'objects', 'in', 'the', 'field', 'of', 'view', 'serves', 'to', 'characterize', 'the', 'photometric', 'stability', 'and', 'repeatability', 'of', 'it', 'spitzers', 'mips24', 'at', 'flux', 'densities', 'between', 'approximately', '3002000mujy', 'we', 'find', 'that', 'the', 'light', 'curve', 'root', 'mean', 'square', 'about', 'the', 'median', 'level', 'falls', 'into', 'the', '14', 'range', 'for', 'flux', 'densities', 'higher', 'than', '1', 'mjy']] | [-0.11678417780710228, 0.07266273788358281, -0.09151040048144951, 0.051692702756837836, -0.06146789030262644, -0.1196534925279534, 0.08494396890247506, 0.39677154783207874, -0.20529017937913924, -0.3738135125657374, 0.1052733765259822, -0.2970343918991071, -0.0872390463919146, 0.245567804247794, -0.09532573489682422, 0.029430494800606114, 0.08985853488194187, -0.04218816997894606, -0.03459100169580873, -0.2746346091500834, 0.24158037485941858, 0.03782346275901156, 0.15121421359582235, -0.021003934067172034, 0.0563464897643932, 0.009084971836320573, -0.10171582106525054, -0.04536207683094136, -0.14175466684097848, 0.04498037326379449, 0.19924762108447877, 0.11306253027436611, 0.16551269793447543, -0.3211582342658627, -0.22171028921465305, 0.05919611120260889, 0.11518047907988407, -0.023954180183793212, 0.032291933773206424, -0.24218110745098417, 0.07512189903562623, -0.11965141586306227, -0.15745663753251074, 0.03796828698439451, 0.09842818830534211, 0.052849787081797404, -0.23432153811097725, 0.06958815799164283, 0.02567534616622203, 0.15940962328466696, -0.14598136880720797, -0.16935549803265648, -0.069851906008583, 0.1141649288542617, 0.02231709037260334, 0.08980583618609057, 0.11525391971438446, -0.09943596348196704, -0.054384693595604945, 0.34757361017990035, -0.12427896581782563, -0.026530281643613013, 0.20686666336660456, -0.19490210115516485, -0.14752642684555672, 0.1850230141071143, 0.12911940895039103, 0.11916999515545156, -0.17517953309496598, -0.010926379277348191, -0.012303608947421437, 0.2558391182622933, 0.06185243045911193, 0.06211529541173882, 0.26931644923223014, 0.1612339081263847, 0.029676927522719873, 0.11348474902205181, -0.25599439102890237, -0.033196254448916815, -0.3062543020668355, -0.10830925266536606, -0.12588321392737364, 0.04737313836359407, -0.150430076618663, -0.10504602431622032, 0.39891736964126684, 0.12555566010391944, 0.198191732967986, 0.06385469683990269, 0.29655282674720146, 0.09503864200739266, 0.058955108288784405, 0.06244277315782746, 0.28396267491973354, 0.15006735658442433, 0.10780646613883701, -0.2133388349502166, 0.00698950470352618, 0.007410112851565438] |
708.07 | Spectral decomposition approach to macroscopic parameters of
Fokker-Planck flows: Part 2 | In this paper we proceed with investigation of connections between Fokker -
Planck equation and continuum mechanics. We base upon expressions from our work
[2], based upon the spectral decomposition of Fokker - Planck equation
solution. In this decomposition we preserve only terms with the smallest
degrees of damping. We find, that macroscopic parameters of Fokker-Planck
flows, obtained in this way, satisfy the set of conservation laws of classic
hydrodynamics. The expression for stresses (30) contains additional term - this
term is negligible in big times limit. We proved also, that the velocities
field alone satisfy Burgers equation without mass forces - but with some
additional term. This term is also negligible in big times limit. For the zero
degree theory, considered in [1], there are no additional terms. But this
theory is valid only for the potential velocities field, fully deductible from
density - the potential is proportional to density logarithm. In this theory we
can not specify initial conditions for velocities independently from density.
Taking in account of the next degree terms could partly solve this problem, but
result in some loss of exactness.
| nlin.CD | in this paper we proceed with investigation of connections between fokker planck equation and continuum mechanics we base upon expressions from our work 2 based upon the spectral decomposition of fokker planck equation solution in this decomposition we preserve only terms with the smallest degrees of damping we find that macroscopic parameters of fokkerplanck flows obtained in this way satisfy the set of conservation laws of classic hydrodynamics the expression for stresses 30 contains additional term this term is negligible in big times limit we proved also that the velocities field alone satisfy burgers equation without mass forces but with some additional term this term is also negligible in big times limit for the zero degree theory considered in 1 there are no additional terms but this theory is valid only for the potential velocities field fully deductible from density the potential is proportional to density logarithm in this theory we can not specify initial conditions for velocities independently from density taking in account of the next degree terms could partly solve this problem but result in some loss of exactness | [['in', 'this', 'paper', 'we', 'proceed', 'with', 'investigation', 'of', 'connections', 'between', 'fokker', 'planck', 'equation', 'and', 'continuum', 'mechanics', 'we', 'base', 'upon', 'expressions', 'from', 'our', 'work', '2', 'based', 'upon', 'the', 'spectral', 'decomposition', 'of', 'fokker', 'planck', 'equation', 'solution', 'in', 'this', 'decomposition', 'we', 'preserve', 'only', 'terms', 'with', 'the', 'smallest', 'degrees', 'of', 'damping', 'we', 'find', 'that', 'macroscopic', 'parameters', 'of', 'fokkerplanck', 'flows', 'obtained', 'in', 'this', 'way', 'satisfy', 'the', 'set', 'of', 'conservation', 'laws', 'of', 'classic', 'hydrodynamics', 'the', 'expression', 'for', 'stresses', '30', 'contains', 'additional', 'term', 'this', 'term', 'is', 'negligible', 'in', 'big', 'times', 'limit', 'we', 'proved', 'also', 'that', 'the', 'velocities', 'field', 'alone', 'satisfy', 'burgers', 'equation', 'without', 'mass', 'forces', 'but', 'with', 'some', 'additional', 'term', 'this', 'term', 'is', 'also', 'negligible', 'in', 'big', 'times', 'limit', 'for', 'the', 'zero', 'degree', 'theory', 'considered', 'in', '1', 'there', 'are', 'no', 'additional', 'terms', 'but', 'this', 'theory', 'is', 'valid', 'only', 'for', 'the', 'potential', 'velocities', 'field', 'fully', 'deductible', 'from', 'density', 'the', 'potential', 'is', 'proportional', 'to', 'density', 'logarithm', 'in', 'this', 'theory', 'we', 'can', 'not', 'specify', 'initial', 'conditions', 'for', 'velocities', 'independently', 'from', 'density', 'taking', 'in', 'account', 'of', 'the', 'next', 'degree', 'terms', 'could', 'partly', 'solve', 'this', 'problem', 'but', 'result', 'in', 'some', 'loss', 'of', 'exactness']] | [-0.13820491661960826, 0.11144160222132223, -0.1004563463460757, 0.05238463774127937, -0.06679355932234977, -0.09466335722965635, 0.016645077236500976, 0.29999513661704996, -0.275512706532107, -0.3048323169762258, 0.0735560504636645, -0.26380502139809875, -0.1398421732544158, 0.14973665096215616, -0.06358218696277115, 0.011894970071033796, 0.05918787742350045, 0.03678886152196737, -0.05565319954577154, -0.23344177330164909, 0.3262336793515152, 0.04220698605734052, 0.2351756607650558, 0.06760495963106183, 0.12704162945127043, -0.025466347203296685, -0.02940881795388806, 0.043528044897322, -0.17250324789480015, 0.07363746846570679, 0.18962142513087277, 0.0842124257308755, 0.24898301481233281, -0.4443006284035825, -0.23739132373699873, 0.10935871951405515, 0.13808621675643082, 0.140145698665173, -0.012827149041779133, -0.2157903946473042, 0.0790246296468196, -0.175641686000986, -0.18255753703486144, -0.06454198411022678, 0.03817779966115499, 0.007516291324378542, -0.2561392979464849, 0.1574453528149141, 0.06614023133937413, 0.03270961965295326, -0.12151479828480158, -0.1272904951336346, -0.005455927622314152, 0.08273935770019065, 0.08826335421274545, 0.025398918957184505, 0.06041247123281229, -0.14371969764881756, -0.02715433196766683, 0.3861001410073915, -0.09049278714318466, -0.24633558880208442, 0.1455431896781559, -0.15135910833841035, -0.150255278151647, 0.11408988739368994, 0.1288983701453004, 0.07915227787404512, -0.1673562157775651, 0.13237572969445568, -0.017328361020351436, 0.1801534591072872, 0.09914489995266275, 0.023468945334274426, 0.1585385064023305, 0.09081176248795832, 0.08479289030038767, 0.0892776774277252, -0.032894173930965116, -0.1107674362909728, -0.37936721945461915, -0.12483342549151313, -0.17830671948890164, 0.09569625760364611, -0.11882870240020887, -0.12632088955923998, 0.3339754854231167, 0.188892912497816, 0.17806400769282113, 0.08673526290598331, 0.2882548269779725, 0.1999310004700635, 0.08019078017285773, 0.08728567056654687, 0.24025037512343983, 0.14925165121824333, 0.10392828568692694, -0.19971647654088903, 0.02495456760677185, 0.09617878410589588] |
708.0701 | Multi-magnon bound states in the frustrated ferromagnetic 1D chain | We study a one-dimensional Heisenberg chain with competing ferromagnetic
nearest-neighbor and antiferromagnetic next-nearest neighbor interactions in
magnetic field. Starting from the fully polarized high-field state, we
calculate the dispersions of the lowest-lying $n$-magnon excitations and the
saturation field (n=2,3,4). We show that the lowest-lying excitations are
always bound multi-magnon states with a total momentum of $\pi$ except for a
small parameter range. We argue that bose condensation of the bound $n$ magnons
leads to novel Tomonaga-Luttinger liquids with multi-polar correlations;
nematic and triatic ordered liquids correspond to n=2 and n=3.
| cond-mat.other | we study a onedimensional heisenberg chain with competing ferromagnetic nearestneighbor and antiferromagnetic nextnearest neighbor interactions in magnetic field starting from the fully polarized highfield state we calculate the dispersions of the lowestlying nmagnon excitations and the saturation field n234 we show that the lowestlying excitations are always bound multimagnon states with a total momentum of pi except for a small parameter range we argue that bose condensation of the bound n magnons leads to novel tomonagaluttinger liquids with multipolar correlations nematic and triatic ordered liquids correspond to n2 and n3 | [['we', 'study', 'a', 'onedimensional', 'heisenberg', 'chain', 'with', 'competing', 'ferromagnetic', 'nearestneighbor', 'and', 'antiferromagnetic', 'nextnearest', 'neighbor', 'interactions', 'in', 'magnetic', 'field', 'starting', 'from', 'the', 'fully', 'polarized', 'highfield', 'state', 'we', 'calculate', 'the', 'dispersions', 'of', 'the', 'lowestlying', 'nmagnon', 'excitations', 'and', 'the', 'saturation', 'field', 'n234', 'we', 'show', 'that', 'the', 'lowestlying', 'excitations', 'are', 'always', 'bound', 'multimagnon', 'states', 'with', 'a', 'total', 'momentum', 'of', 'pi', 'except', 'for', 'a', 'small', 'parameter', 'range', 'we', 'argue', 'that', 'bose', 'condensation', 'of', 'the', 'bound', 'n', 'magnons', 'leads', 'to', 'novel', 'tomonagaluttinger', 'liquids', 'with', 'multipolar', 'correlations', 'nematic', 'and', 'triatic', 'ordered', 'liquids', 'correspond', 'to', 'n2', 'and', 'n3']] | [-0.22490389318613524, 0.3309250552667661, -0.019418919284362346, 0.07020982390457994, -0.0279325187792269, -0.17948930357384046, 0.04191248782444745, 0.3645659379158797, -0.19701145539123022, -0.24408918620725528, -0.05167113237600941, -0.3682401795044876, -0.07245650454528965, 0.056352847831302816, 0.16791571065092856, -0.010121902084668701, -0.022640948162905957, 0.022564862551314107, -0.10217708770415923, -0.20810619576473124, 0.2905141409130746, -0.06070055875710076, 0.2655433159363404, 0.08026708597631267, 0.03175401970158132, 0.05877150593095281, 0.19137719703649872, -0.0063105093555922585, -0.20676251317801483, 0.0519670922161352, 0.2586811709772335, -0.11906039929069746, 0.11658692864826724, -0.4395573480326808, -0.15595412908352158, 0.07628160978803473, 0.19984670151077377, 0.20635839558489036, 0.018208636005613114, -0.2995349337043387, -0.006872693902101326, -0.2116974400502912, -0.16408399197474394, -0.17124911859694325, 0.002947170938773269, 0.010374239486317789, -0.2582531224025853, 0.1625674534968383, 0.11737377668751843, 0.08397479726817836, -0.09716539590860183, -0.1665353976148233, -0.07888575347946182, 0.03401174981230765, 0.05431353579160203, 0.06459403543188917, 0.09279727160909705, -0.1640169546426682, -0.15436211010713255, 0.33084448008389955, -0.0843385114868203, -0.12946544977145666, 0.1760941987564222, -0.21011402180648586, -0.09682966875346649, 0.18334032946758055, 0.10242354842962362, 0.09330576488727264, -0.08235411366887307, 0.10349943468692514, -0.05131092650836773, 0.2010306226415952, -0.008424983898784672, 0.07206341300913122, 0.24806370341292258, 0.14918719344050363, 0.05070767990114649, 0.19783228799031022, -0.1296325458286937, -0.15293353401501192, -0.26081326386232057, -0.15626468940172344, -0.2443161560902686, 0.052689943169609885, -0.0642089597832443, -0.16711674000691162, 0.35388968302083484, 0.12518107924667643, 0.19071560719291145, 0.009219006959641918, 0.17673593988704883, 0.08584592480924022, 0.002766273654160205, 0.09754144366872444, 0.24318878227070476, 0.21068146767283089, 0.030805683582288662, -0.3167843719541482, -0.05624674282068114, 0.07540395256822531] |
708.0702 | Quasi Exactly Solvable Difference Equations | Several explicit examples of quasi exactly solvable `discrete' quantum
mechanical Hamiltonians are derived by deforming the well-known exactly
solvable Hamiltonians of one degree of freedom. These are difference analogues
of the well-known quasi exactly solvable systems, the harmonic oscillator
(with/without the centrifugal potential) deformed by a sextic potential and the
1/sin^2x potential deformed by a cos2x potential. They have a finite number of
exactly calculable eigenvalues and eigenfunctions.
| nlin.SI hep-th math-ph math.MP quant-ph | several explicit examples of quasi exactly solvable discrete quantum mechanical hamiltonians are derived by deforming the wellknown exactly solvable hamiltonians of one degree of freedom these are difference analogues of the wellknown quasi exactly solvable systems the harmonic oscillator withwithout the centrifugal potential deformed by a sextic potential and the 1sin2x potential deformed by a cos2x potential they have a finite number of exactly calculable eigenvalues and eigenfunctions | [['several', 'explicit', 'examples', 'of', 'quasi', 'exactly', 'solvable', 'discrete', 'quantum', 'mechanical', 'hamiltonians', 'are', 'derived', 'by', 'deforming', 'the', 'wellknown', 'exactly', 'solvable', 'hamiltonians', 'of', 'one', 'degree', 'of', 'freedom', 'these', 'are', 'difference', 'analogues', 'of', 'the', 'wellknown', 'quasi', 'exactly', 'solvable', 'systems', 'the', 'harmonic', 'oscillator', 'withwithout', 'the', 'centrifugal', 'potential', 'deformed', 'by', 'a', 'sextic', 'potential', 'and', 'the', '1sin2x', 'potential', 'deformed', 'by', 'a', 'cos2x', 'potential', 'they', 'have', 'a', 'finite', 'number', 'of', 'exactly', 'calculable', 'eigenvalues', 'and', 'eigenfunctions']] | [-0.13894618393457148, 0.16893559010393583, -0.014727883395363591, 0.10025130049673034, -0.05217208354664383, -0.2571851771755783, -0.043834119284553316, 0.3350366137699405, -0.28011954403412875, -0.23481772825427688, 0.04503822885453701, -0.29688664202564463, -0.17786890525829546, 0.19558133770114006, 0.02149501088624403, 0.11985977062149279, 0.04056400325107597, 0.09606270077846833, -0.08919090241256322, -0.2677945045948918, 0.29227743297815323, -0.009172359524892449, 0.1470540776647238, 0.02640623511718725, 0.1039643302949062, -0.0030360157573734647, 0.12058072428761134, 0.017235472610692925, -0.12321996936268771, 0.11535131376681489, 0.21390878662133395, -0.023555865726753403, 0.21605648422863946, -0.40502261845811977, -0.24793512137856946, 0.1704146949324145, 0.16186418321762067, 0.16031844104959894, -0.027064970472076937, -0.28690332631622234, -0.02661770126963062, -0.21267734118237738, -0.2741863776429264, -0.13229454764679296, 0.04333874081442161, 0.08053534653788405, -0.1567935569962459, 0.10420272141736724, 0.09098411637789278, 0.07554559341468718, -0.06717303493963693, -0.12148570997723893, -0.08378881493360917, 0.06917015105875125, -0.03406511016412458, -0.07998693224960077, 0.06628658861589076, -0.0808368596012023, -0.14168609024908171, 0.4244045218480612, -0.008632269813053643, -0.27137423618071116, 0.13900584119733478, -0.09231295230200709, -0.08513073024770884, 0.1342335536853591, 0.06919994700783447, 0.09547126080507218, -0.1637147216876941, 0.21998336963849002, -0.0020119074259453743, 0.044541342406352956, 0.11075321215190995, -0.01675597182127522, 0.19829105335607458, -0.024525133781691095, 0.025301053122714606, 0.17980548255701564, 0.057023677299035465, -0.20694605056404955, -0.34352497874286525, -0.06879072083827498, -0.2751810858860167, 0.08919957922354563, -0.11605527825304307, -0.18119761792581474, 0.4823559155103876, -0.007193758863080015, 0.1380546331169334, 0.055042338095355164, 0.21628492949669487, 0.1932116952071439, 0.07185506489850692, 0.03586525545525451, 0.22858835384249687, 0.19795502842848758, -0.05645025077748543, -0.26980637417021974, -0.11940764128439017, 0.1539362284785776] |
708.0703 | Detection of subthreshold pulses in neurons with channel noise | Neurons are subject to various kinds of noise. In addition to synaptic noise,
the stochastic opening and closing of ion channels represents an intrinsic
source of noise that affects the signal processing properties of the neuron. In
this paper, we studied the response of a stochastic Hodgkin-Huxley neuron to
transient input subthreshold pulses. It was found that the average response
time decreases but variance increases as the amplitude of channel noise
increases. In the case of single pulse detection, we show that channel noise
enables one neuron to detect the subthreshold signals and an optimal membrane
area (or channel noise intensity) exists for a single neuron to achieve optimal
performance. However, the detection ability of a single neuron is limited by
large errors. Here, we test a simple neuronal network that can enhance the
pulse detecting abilities of neurons and find dozens of neurons can perfectly
detect subthreshold pulses. The phenomenon of intrinsic stochastic resonance is
also found both at the level of single neurons and at the level of networks. At
the network level, the detection ability of networks can be optimized for the
number of neurons comprising the network.
| q-bio.NC q-bio.SC | neurons are subject to various kinds of noise in addition to synaptic noise the stochastic opening and closing of ion channels represents an intrinsic source of noise that affects the signal processing properties of the neuron in this paper we studied the response of a stochastic hodgkinhuxley neuron to transient input subthreshold pulses it was found that the average response time decreases but variance increases as the amplitude of channel noise increases in the case of single pulse detection we show that channel noise enables one neuron to detect the subthreshold signals and an optimal membrane area or channel noise intensity exists for a single neuron to achieve optimal performance however the detection ability of a single neuron is limited by large errors here we test a simple neuronal network that can enhance the pulse detecting abilities of neurons and find dozens of neurons can perfectly detect subthreshold pulses the phenomenon of intrinsic stochastic resonance is also found both at the level of single neurons and at the level of networks at the network level the detection ability of networks can be optimized for the number of neurons comprising the network | [['neurons', 'are', 'subject', 'to', 'various', 'kinds', 'of', 'noise', 'in', 'addition', 'to', 'synaptic', 'noise', 'the', 'stochastic', 'opening', 'and', 'closing', 'of', 'ion', 'channels', 'represents', 'an', 'intrinsic', 'source', 'of', 'noise', 'that', 'affects', 'the', 'signal', 'processing', 'properties', 'of', 'the', 'neuron', 'in', 'this', 'paper', 'we', 'studied', 'the', 'response', 'of', 'a', 'stochastic', 'hodgkinhuxley', 'neuron', 'to', 'transient', 'input', 'subthreshold', 'pulses', 'it', 'was', 'found', 'that', 'the', 'average', 'response', 'time', 'decreases', 'but', 'variance', 'increases', 'as', 'the', 'amplitude', 'of', 'channel', 'noise', 'increases', 'in', 'the', 'case', 'of', 'single', 'pulse', 'detection', 'we', 'show', 'that', 'channel', 'noise', 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708.0704 | On Colorings of Graph Powers | In this paper, some results concerning the colorings of graph powers are
presented. The notion of helical graphs is introduced. We show that such graphs
are hom-universal with respect to high odd-girth graphs whose $(2t+1)$st power
is bounded by a Kneser graph. Also, we consider the problem of existence of
homomorphism to odd cycles. We prove that such homomorphism to a $(2k+1)$-cycle
exists if and only if the chromatic number of the $(2k+1)$st power of $S_2(G)$
is less than or equal to 3, where $S_2(G)$ is the 2-subdivision of $G$. We also
consider Ne\v{s}et\v{r}il's Pentagon problem. This problem is about the
existence of high girth cubic graphs which are not homomorphic to the cycle of
size five. Several problems which are closely related to Ne\v{s}et\v{r}il's
problem are introduced and their relations are presented.
| math.CO | in this paper some results concerning the colorings of graph powers are presented the notion of helical graphs is introduced we show that such graphs are homuniversal with respect to high oddgirth graphs whose 2t1st power is bounded by a kneser graph also we consider the problem of existence of homomorphism to odd cycles we prove that such homomorphism to a 2k1cycle exists if and only if the chromatic number of the 2k1st power of s_2g is less than or equal to 3 where s_2g is the 2subdivision of g we also consider nevsetvrils pentagon problem this problem is about the existence of high girth cubic graphs which are not homomorphic to the cycle of size five several problems which are closely related to nevsetvrils problem are introduced and their relations are presented | [['in', 'this', 'paper', 'some', 'results', 'concerning', 'the', 'colorings', 'of', 'graph', 'powers', 'are', 'presented', 'the', 'notion', 'of', 'helical', 'graphs', 'is', 'introduced', 'we', 'show', 'that', 'such', 'graphs', 'are', 'homuniversal', 'with', 'respect', 'to', 'high', 'oddgirth', 'graphs', 'whose', '2t1st', 'power', 'is', 'bounded', 'by', 'a', 'kneser', 'graph', 'also', 'we', 'consider', 'the', 'problem', 'of', 'existence', 'of', 'homomorphism', 'to', 'odd', 'cycles', 'we', 'prove', 'that', 'such', 'homomorphism', 'to', 'a', '2k1cycle', 'exists', 'if', 'and', 'only', 'if', 'the', 'chromatic', 'number', 'of', 'the', '2k1st', 'power', 'of', 's_2g', 'is', 'less', 'than', 'or', 'equal', 'to', '3', 'where', 's_2g', 'is', 'the', '2subdivision', 'of', 'g', 'we', 'also', 'consider', 'nevsetvrils', 'pentagon', 'problem', 'this', 'problem', 'is', 'about', 'the', 'existence', 'of', 'high', 'girth', 'cubic', 'graphs', 'which', 'are', 'not', 'homomorphic', 'to', 'the', 'cycle', 'of', 'size', 'five', 'several', 'problems', 'which', 'are', 'closely', 'related', 'to', 'nevsetvrils', 'problem', 'are', 'introduced', 'and', 'their', 'relations', 'are', 'presented']] | [-0.1899800039466846, 0.13551828236672883, -0.013652832471912676, 0.046686837797110914, -0.11311785277166916, -0.11787833866136249, -0.020502298841137412, 0.38109970762748124, -0.3050528882259084, -0.31976688404742615, 0.15441402137665758, -0.3155090474458628, -0.16455363095810188, 0.16669458276303412, -0.13748705138040837, 0.032436205082651506, 0.062225711799060654, 0.10139525294404968, 0.0009652875010068564, -0.27724799496354535, 0.34680951512129904, -0.02423651644223651, 0.151719058647232, 0.10917798446152041, 0.07011960436952798, -0.03732084395551635, -0.005691574496585269, 0.08199562060163003, -0.16552441549912011, 0.11321711254688774, 0.2518904862217894, 0.13717217774260357, 0.25004777549802104, -0.36921083307716734, -0.14382570264536107, 0.22908205094263534, 0.08794013878633809, 0.04886186741429648, 0.012330232031080265, -0.18831033721140247, 0.21577344968727277, -0.1307158224327966, -0.09326248806937373, -0.013131248916304388, 0.073866379761332, 0.03103342650876951, -0.24264282836080636, 0.02231831732702391, 0.1144595384749389, 0.04977024034705273, 0.022322816767029522, -0.12257437592791032, -0.03426241305974392, 0.07995519187669595, -0.0042605991330893, 0.02263535212638766, 0.01597097894545038, -0.12325718369363814, -0.17076190433991972, 0.4197873649902122, 0.023845236201011647, -0.18767352405820012, 0.13207927220970278, -0.15291268571619263, -0.18595940417559573, 0.10224420748391123, 0.11228823129001052, 0.15776340586905793, -0.06846704715935066, 0.09297603578036001, -0.12736781492338392, 0.13154018478280352, 0.13007910077481769, 0.03933446348262157, 0.09544975136437403, 0.09997488085231059, 0.15529411196232187, 0.20518585115620622, 0.013538422250701475, -0.016220512027426283, -0.2748116652784479, -0.08953336981493373, -0.1906743028197553, 0.05909734315524517, -0.11793828365016663, -0.19395604082058335, 0.40551352126942586, 0.11323617187386394, 0.16745177847730328, 0.12722522048676718, 0.23428714558998368, 0.11194585932259873, 0.027503134208991257, 0.1402685045298052, 0.15988627977623215, 0.20548647925322658, -0.01076593917123107, -0.1608046047360629, 0.026444391073124816, 0.12980502810319725] |
708.0705 | Creation of ballot sequences in a periodic cellular automaton | Motivated by an attempt to develop a method for solving initial value
problems in a class of one dimensional periodic cellular automata (CA)
associated with crystal bases and soliton equations, we consider a
generalization of a simple proposition in elementary mathematics. The original
proposition says that any sequence of letters 1 and 2, having no less 1's than
2's, can be changed into a ballot sequence via cyclic shifts only. We
generalize it to treat sequences of cells of common capacity s > 1, each of
them containing consecutive 2's (left) and 1's (right), and show that these
sequences can be changed into a ballot sequence via two manipulations, cyclic
and "quasi-cyclic" shifts. The latter is a new CA rule and we find that various
kink-like structures are traveling along the system like particles under the
time evolution of this rule.
| nlin.SI math.CO | motivated by an attempt to develop a method for solving initial value problems in a class of one dimensional periodic cellular automata ca associated with crystal bases and soliton equations we consider a generalization of a simple proposition in elementary mathematics the original proposition says that any sequence of letters 1 and 2 having no less 1s than 2s can be changed into a ballot sequence via cyclic shifts only we generalize it to treat sequences of cells of common capacity s 1 each of them containing consecutive 2s left and 1s right and show that these sequences can be changed into a ballot sequence via two manipulations cyclic and quasicyclic shifts the latter is a new ca rule and we find that various kinklike structures are traveling along the system like particles under the time evolution of this rule | [['motivated', 'by', 'an', 'attempt', 'to', 'develop', 'a', 'method', 'for', 'solving', 'initial', 'value', 'problems', 'in', 'a', 'class', 'of', 'one', 'dimensional', 'periodic', 'cellular', 'automata', 'ca', 'associated', 'with', 'crystal', 'bases', 'and', 'soliton', 'equations', 'we', 'consider', 'a', 'generalization', 'of', 'a', 'simple', 'proposition', 'in', 'elementary', 'mathematics', 'the', 'original', 'proposition', 'says', 'that', 'any', 'sequence', 'of', 'letters', '1', 'and', '2', 'having', 'no', 'less', '1s', 'than', '2s', 'can', 'be', 'changed', 'into', 'a', 'ballot', 'sequence', 'via', 'cyclic', 'shifts', 'only', 'we', 'generalize', 'it', 'to', 'treat', 'sequences', 'of', 'cells', 'of', 'common', 'capacity', 's', '1', 'each', 'of', 'them', 'containing', 'consecutive', '2s', 'left', 'and', '1s', 'right', 'and', 'show', 'that', 'these', 'sequences', 'can', 'be', 'changed', 'into', 'a', 'ballot', 'sequence', 'via', 'two', 'manipulations', 'cyclic', 'and', 'quasicyclic', 'shifts', 'the', 'latter', 'is', 'a', 'new', 'ca', 'rule', 'and', 'we', 'find', 'that', 'various', 'kinklike', 'structures', 'are', 'traveling', 'along', 'the', 'system', 'like', 'particles', 'under', 'the', 'time', 'evolution', 'of', 'this', 'rule']] | [-0.13826533402648888, 0.15015515556452946, -0.047628520256174464, 0.07156559962646238, -0.04077214772447146, -0.19594537465766604, 0.08788769166401056, 0.39280911518393885, -0.31776303855835325, -0.2423586292591478, 0.09678642367944121, -0.25634522984868713, -0.12761772582515343, 0.15958258655986615, -0.067082609249545, -0.02170610693366533, 0.07138236593787692, 0.0681087659788318, -0.06028083063761837, -0.23378561784546556, 0.3082978569835957, -0.045542084836467565, 0.20028595158697238, -0.04838280557762898, 0.08271042091239776, 0.011446190354347761, 0.004462451915190156, 0.012257024845374482, -0.10037928515225109, 0.12077971128081637, 0.2078012723242864, 0.14886297886925084, 0.2875055383258898, -0.42097616641383084, -0.18252438403599497, 0.13145482030231506, 0.15251844789267385, 0.1348676615660744, -0.02560362159939749, -0.2505044857638755, 0.13428145758641352, -0.15433136636274866, -0.10367964890985085, -0.032832006634479126, 0.06563846599165117, 0.05266281763490822, -0.2571748977726592, 0.029137870985349375, 0.11930064875965139, 0.05305886806173865, -0.06222421299067459, -0.1202959807498181, 0.001306957730724077, 0.11492589622004223, 0.008224843874008262, 0.015941617291952884, 0.05237625655447898, -0.05789295119533822, -0.16368790672859176, 0.389422627525138, -0.034645692509054374, -0.1835713497629123, 0.1523816448636353, -0.11645483597530984, -0.1339822258118407, 0.1669633774785325, 0.09927149692375678, 0.13488575507986492, -0.09450440590735525, 0.04132026282355322, -0.07744318218236523, 0.21450800635253212, 0.1528475090961105, 0.016605754076070817, 0.19315495852247944, 0.10786184268529593, 0.056065813452005384, 0.13615328300511464, -0.011029065349430312, -0.08072026787059648, -0.2802645185230566, -0.1843310433606218, -0.1487512339771326, 0.08910807771784936, -0.058536527326837784, -0.16537172730147306, 0.3927325635350176, 0.0825204833456415, 0.20300058324355633, 0.050695160856204374, 0.22242802377856735, 0.11638581159058958, 0.06846268822597007, 0.045037202690062776, 0.11052066425493519, 0.13348629896395972, 0.07416627647554767, -0.17918924798473848, 0.028560355022948767, 0.1256745900925515] |
708.0706 | Noise Suppression for Micromechanical Resonator via Intrinsic Dynamic
Feedback | We study a dynamic mechanism to passively suppress the thermal noise of a
micromechanical resonator through an intrinsic self-feedback that is genuinely
non-Markovian. We use two coupled resonators, one as the target resonator and
the other as an ancillary resonator, to illustrate the mechanism and its noise
reduction effect. The intrinsic feedback is realized through the dynamics of
coupling between the two resonators: the motions of the target resonator and
the ancillary resonator mutually influence each other in a cyclic fashion.
Specifically, the states that the target resonator has attained earlier will
affect the state it attains later due to the presence of the ancillary
resonator. We show that the feedback mechanism will bring forth the effect of
noise suppression in the spectrum of displacement, but not in the spectrum of
momentum.
| cond-mat.mes-hall quant-ph | we study a dynamic mechanism to passively suppress the thermal noise of a micromechanical resonator through an intrinsic selffeedback that is genuinely nonmarkovian we use two coupled resonators one as the target resonator and the other as an ancillary resonator to illustrate the mechanism and its noise reduction effect the intrinsic feedback is realized through the dynamics of coupling between the two resonators the motions of the target resonator and the ancillary resonator mutually influence each other in a cyclic fashion specifically the states that the target resonator has attained earlier will affect the state it attains later due to the presence of the ancillary resonator we show that the feedback mechanism will bring forth the effect of noise suppression in the spectrum of displacement but not in the spectrum of momentum | [['we', 'study', 'a', 'dynamic', 'mechanism', 'to', 'passively', 'suppress', 'the', 'thermal', 'noise', 'of', 'a', 'micromechanical', 'resonator', 'through', 'an', 'intrinsic', 'selffeedback', 'that', 'is', 'genuinely', 'nonmarkovian', 'we', 'use', 'two', 'coupled', 'resonators', 'one', 'as', 'the', 'target', 'resonator', 'and', 'the', 'other', 'as', 'an', 'ancillary', 'resonator', 'to', 'illustrate', 'the', 'mechanism', 'and', 'its', 'noise', 'reduction', 'effect', 'the', 'intrinsic', 'feedback', 'is', 'realized', 'through', 'the', 'dynamics', 'of', 'coupling', 'between', 'the', 'two', 'resonators', 'the', 'motions', 'of', 'the', 'target', 'resonator', 'and', 'the', 'ancillary', 'resonator', 'mutually', 'influence', 'each', 'other', 'in', 'a', 'cyclic', 'fashion', 'specifically', 'the', 'states', 'that', 'the', 'target', 'resonator', 'has', 'attained', 'earlier', 'will', 'affect', 'the', 'state', 'it', 'attains', 'later', 'due', 'to', 'the', 'presence', 'of', 'the', 'ancillary', 'resonator', 'we', 'show', 'that', 'the', 'feedback', 'mechanism', 'will', 'bring', 'forth', 'the', 'effect', 'of', 'noise', 'suppression', 'in', 'the', 'spectrum', 'of', 'displacement', 'but', 'not', 'in', 'the', 'spectrum', 'of', 'momentum']] | [-0.18247203714616428, 0.1585124613010328, -0.08032156751406463, -0.0331808892061059, -0.07339892206205563, -0.17668769910056709, 0.05220470004397529, 0.393813404607389, -0.2742345073740139, -0.2669988365166567, 0.05509775358862526, -0.29015321192811383, -0.12335048235642414, 0.19704384176822548, -0.03716227469284962, -0.00611860652244297, 0.041173657035511554, 0.022716036634378586, 0.027208551946166677, -0.20825060082698296, 0.31428511789294356, 0.09687319287860935, 0.3250130784052255, 0.0048609828103728814, 0.13329193468741846, -0.05436061580919407, 0.01704516605417611, -0.024034193715179397, -0.07199069420240642, 0.07510482895701319, 0.18441665394824336, 0.04968827254505771, 0.3023213524244387, -0.4377939284525134, -0.20618584198228113, 0.09478743501346219, 0.14655500917102804, 0.16373470539904453, -0.027455011546738784, -0.2613366358687706, 0.007176985435018485, -0.17139000807902915, -0.10521393467382895, -0.05468094236549047, -0.021997233870382788, -0.008016178986426066, -0.24237746089541665, 0.03192148018967022, 0.10238590530493777, -0.00014234621564603665, -0.03936735486301283, -0.008650533135303042, -0.04765422851778567, 0.13567910359636176, -0.03595975067582913, -0.02465709170615865, 0.21669920992280822, -0.13517618083014069, -0.11078313133188974, 0.33678785238104564, -0.10080534156551232, -0.2048379621031045, 0.1634130698556405, -0.1475917190440338, -0.03395882816667753, 0.11445562488039616, 0.15682725037560996, 0.040143525351375116, -0.1511944774185505, 0.012429126064296614, 0.023180558042826527, 0.222925659905851, 0.04762310075404292, 0.12585470289438186, 0.1891459402465967, 0.16774305210194804, 0.06291001252336145, 0.2262808014788651, -0.09241727396676486, -0.05526834829167152, -0.2870891678824343, -0.11061660825472439, -0.17061915331887026, 0.06579461903851497, -0.07136369160357528, -0.1453651771175139, 0.3947383345838523, 0.1510670070896264, 0.20274086406271002, -0.06234595574664347, 0.3468422040794835, 0.12711594666347303, 0.08260913155126301, 0.00963592889831599, 0.3334572378433112, 0.16917336911358166, 0.07289886128185599, -0.3635802071146441, 0.013888928982796091, -0.0345801049032051] |
708.0707 | Hidden scale in quantum mechanics | We show that the intriguing localization of a free particle wave-packet is
possible due to a hidden scale present in the system. Self-adjoint extensions
(SAE) is responsible for introducing this scale in quantum mechanical models
through the nontrivial boundary conditions. We discuss a couple of classically
scale invariant free particle systems to illustrate the issue. In this context
it has been shown that a free quantum particle moving on a full line may have
localized wave-packet around the origin. As a generalization, it has also been
shown that particles moving on a portion of a plane or on a portion of a three
dimensional space can have unusual localized wave-packet.
| hep-th quant-ph | we show that the intriguing localization of a free particle wavepacket is possible due to a hidden scale present in the system selfadjoint extensions sae is responsible for introducing this scale in quantum mechanical models through the nontrivial boundary conditions we discuss a couple of classically scale invariant free particle systems to illustrate the issue in this context it has been shown that a free quantum particle moving on a full line may have localized wavepacket around the origin as a generalization it has also been shown that particles moving on a portion of a plane or on a portion of a three dimensional space can have unusual localized wavepacket | [['we', 'show', 'that', 'the', 'intriguing', 'localization', 'of', 'a', 'free', 'particle', 'wavepacket', 'is', 'possible', 'due', 'to', 'a', 'hidden', 'scale', 'present', 'in', 'the', 'system', 'selfadjoint', 'extensions', 'sae', 'is', 'responsible', 'for', 'introducing', 'this', 'scale', 'in', 'quantum', 'mechanical', 'models', 'through', 'the', 'nontrivial', 'boundary', 'conditions', 'we', 'discuss', 'a', 'couple', 'of', 'classically', 'scale', 'invariant', 'free', 'particle', 'systems', 'to', 'illustrate', 'the', 'issue', 'in', 'this', 'context', 'it', 'has', 'been', 'shown', 'that', 'a', 'free', 'quantum', 'particle', 'moving', 'on', 'a', 'full', 'line', 'may', 'have', 'localized', 'wavepacket', 'around', 'the', 'origin', 'as', 'a', 'generalization', 'it', 'has', 'also', 'been', 'shown', 'that', 'particles', 'moving', 'on', 'a', 'portion', 'of', 'a', 'plane', 'or', 'on', 'a', 'portion', 'of', 'a', 'three', 'dimensional', 'space', 'can', 'have', 'unusual', 'localized', 'wavepacket']] | [-0.1359210740076378, 0.1825537291355431, -0.12422299138270318, 0.08065369240939617, -0.04589985789180818, -0.12553896507544612, -0.013193653460951861, 0.3720964246006174, -0.24767075627195564, -0.25437247548252345, 0.10789036181945862, -0.2542190056802197, -0.15306642845654014, 0.19276038673812185, -0.04722264512357387, 0.06993402947925709, 0.07201540495946326, 0.08824258517600934, -0.036287018193715166, -0.17219556952318685, 0.3265366609504616, 0.05543149947400459, 0.23962477785958486, 0.081747416512702, 0.14311462520325388, -0.018997398592447014, 0.034156932260587136, 0.0458726263983408, -0.09565449718866148, 0.08358444665050642, 0.1735052750714782, 0.03700580546124415, 0.3042939684607766, -0.40006217578934, -0.29739087095314803, 0.10408144928514958, 0.20963482586666943, 0.15073858904017304, -0.09523856059372933, -0.29725638311356306, 0.05951813413253562, -0.1553303124637089, -0.1677582779475911, -0.058236512617970054, 0.035224952875763514, -0.054582109243016354, -0.19947682980829004, 0.050490828905921346, 0.057766881259158256, 0.03149394800275331, -0.043919032456522636, -0.018788709497841245, -0.0057905527424405925, 0.07875565616625615, 0.04197280122898519, 0.011107570690695534, 0.1299903563308445, -0.1048616123182662, -0.12160088389646262, 0.42281047820367595, -0.04908201631200923, -0.2557313069701195, 0.22228958695618944, -0.12719803060701287, -0.11170313182202253, 0.13181837455962192, 0.16671430063010617, 0.12056677283465185, -0.13630403270204128, 0.16160571513570507, -0.09282817869468338, 0.1781587083379484, 0.06174850644416768, 0.04281036932106045, 0.2522514734586531, 0.15559328943490983, 0.09397885628806596, 0.16877275881442158, -0.10619512825188311, -0.14331629527785647, -0.3153859521177682, -0.17915812644430182, -0.19519435376966032, 0.06151660682464188, -0.013073793709786102, -0.194725060997933, 0.4338283210273155, 0.15471803069125267, 0.20423384699547156, -0.0337292121659795, 0.23111753450198608, 0.12593011373378846, 0.10061586276543412, 0.05206287627701055, 0.23137783074158835, 0.09213024786334824, 0.07327949281527915, -0.20127815388418227, 0.02247472552751953, 0.04545484539968046] |
708.0708 | Horizons of Coalescing Black Holes on Eguchi-Hanson Space | Using the numerical method, we study dynamics of coalescing black holes on
the Eguchi-Hanson base space. Effects of a difference in spacetime topology on
the black hole dynamics is discussed. We analyze appearance and disappearance
process of marginal surfaces. In our calculation, the area of a coverall black
hole horizon at the creation time in the coalescing black holes solutions on
Eguchi-Hanson space is larger than that in the five-dimensional Kastor-Traschen
solutions. This fact suggests that the black hole production on the
Eguchi-Hanson space is easier than that on the flat space.
| gr-qc hep-th | using the numerical method we study dynamics of coalescing black holes on the eguchihanson base space effects of a difference in spacetime topology on the black hole dynamics is discussed we analyze appearance and disappearance process of marginal surfaces in our calculation the area of a coverall black hole horizon at the creation time in the coalescing black holes solutions on eguchihanson space is larger than that in the fivedimensional kastortraschen solutions this fact suggests that the black hole production on the eguchihanson space is easier than that on the flat space | [['using', 'the', 'numerical', 'method', 'we', 'study', 'dynamics', 'of', 'coalescing', 'black', 'holes', 'on', 'the', 'eguchihanson', 'base', 'space', 'effects', 'of', 'a', 'difference', 'in', 'spacetime', 'topology', 'on', 'the', 'black', 'hole', 'dynamics', 'is', 'discussed', 'we', 'analyze', 'appearance', 'and', 'disappearance', 'process', 'of', 'marginal', 'surfaces', 'in', 'our', 'calculation', 'the', 'area', 'of', 'a', 'coverall', 'black', 'hole', 'horizon', 'at', 'the', 'creation', 'time', 'in', 'the', 'coalescing', 'black', 'holes', 'solutions', 'on', 'eguchihanson', 'space', 'is', 'larger', 'than', 'that', 'in', 'the', 'fivedimensional', 'kastortraschen', 'solutions', 'this', 'fact', 'suggests', 'that', 'the', 'black', 'hole', 'production', 'on', 'the', 'eguchihanson', 'space', 'is', 'easier', 'than', 'that', 'on', 'the', 'flat', 'space']] | [-0.1732823700710599, 0.07163645374424919, -0.05726612420535825, 0.1615749432886722, -0.058249195341716756, -0.06065269769425248, 0.03534216001875453, 0.3067727100800027, -0.13173473687781082, -0.2504040402818246, 0.1318572561926935, -0.35176585408971534, -0.12891259516210674, 0.23426655143663122, -0.06578499191328065, -0.017004449688061907, 0.03812181542289781, 0.019943713041656947, -0.13532079936639702, -0.24059616366483189, 0.4489760641417988, 0.10118311629472314, 0.27342665535244315, -0.041450462416633145, 0.09754167915741493, 0.016650516560280715, 0.01280994785778163, 0.07248305613533236, -0.18717678491361017, 0.08130252805466835, 0.16598177841956635, 0.1153603269589699, 0.17724783725238272, -0.4066648720712452, -0.26164467622536225, 0.07253664142482884, 0.16754628478160516, 0.15637463384440967, -0.11304231734235086, -0.2894692858783426, 0.054640667635824654, -0.18676004533215865, -0.1289136869689593, -0.022675966495995993, 0.08282489271240902, -0.06574027323430139, -0.1466776438589607, 0.0947065488793529, 0.0545356189985606, -0.12100779451173986, -0.1384062386491428, -2.836949795812041e-05, -0.08965896456604722, 0.06059533251183374, 0.1397523184196261, 0.03213384651558494, 0.17793801398743148, -0.0511638521713174, -0.13999394869309043, 0.32529864032435546, -0.05921997363931131, -0.24628249774840508, 0.18241884944203135, -0.2864325119919338, -0.09501182916318322, 0.15239733447330994, 0.20636787370696746, 0.27227930743042583, -0.0785723166734717, 0.1468276501585893, 0.011266715578980499, 0.16684835299767636, 0.10662880401091221, 0.04856790880068809, 0.35431352746928785, 0.2153042831284168, 0.0654678502130312, 0.150879409839655, -0.07269742839028137, -0.16000782033162458, -0.3291297354377233, -0.17644305726267642, -0.1837706132126706, 0.1147074238166909, -0.19396648917761042, -0.18243643092912631, 0.33277441448644624, 0.06694980147857588, 0.1887915985924857, 0.010224746355971138, 0.23348608315619448, 0.038563542432602044, 0.01635371990870316, 0.10927483826302566, 0.31160685084350814, 0.04862558967587385, 0.14245616905084188, -0.25133833474387507, -0.03631110732945112, 0.14446466990009688] |
708.0709 | Quantum cryptography with finite resources: unconditional security bound
for discrete-variable protocols with one-way post-processing | We derive a bound for the security of QKD with finite resources under one-way
post-processing, based on a definition of security that is composable and has
an operational meaning. While our proof relies on the assumption of collective
attacks, unconditional security follows immediately for standard protocols like
Bennett-Brassard 1984 and six-states. For single-qubit implementations of such
protocols, we find that the secret key rate becomes positive when at least
N\sim 10^5 signals are exchanged and processed. For any other discrete-variable
protocol, unconditional security can be obtained using the exponential de
Finetti theorem, but the additional overhead leads to very pessimistic
estimates.
| quant-ph | we derive a bound for the security of qkd with finite resources under oneway postprocessing based on a definition of security that is composable and has an operational meaning while our proof relies on the assumption of collective attacks unconditional security follows immediately for standard protocols like bennettbrassard 1984 and sixstates for singlequbit implementations of such protocols we find that the secret key rate becomes positive when at least nsim 105 signals are exchanged and processed for any other discretevariable protocol unconditional security can be obtained using the exponential de finetti theorem but the additional overhead leads to very pessimistic estimates | [['we', 'derive', 'a', 'bound', 'for', 'the', 'security', 'of', 'qkd', 'with', 'finite', 'resources', 'under', 'oneway', 'postprocessing', 'based', 'on', 'a', 'definition', 'of', 'security', 'that', 'is', 'composable', 'and', 'has', 'an', 'operational', 'meaning', 'while', 'our', 'proof', 'relies', 'on', 'the', 'assumption', 'of', 'collective', 'attacks', 'unconditional', 'security', 'follows', 'immediately', 'for', 'standard', 'protocols', 'like', 'bennettbrassard', '1984', 'and', 'sixstates', 'for', 'singlequbit', 'implementations', 'of', 'such', 'protocols', 'we', 'find', 'that', 'the', 'secret', 'key', 'rate', 'becomes', 'positive', 'when', 'at', 'least', 'nsim', '105', 'signals', 'are', 'exchanged', 'and', 'processed', 'for', 'any', 'other', 'discretevariable', 'protocol', 'unconditional', 'security', 'can', 'be', 'obtained', 'using', 'the', 'exponential', 'de', 'finetti', 'theorem', 'but', 'the', 'additional', 'overhead', 'leads', 'to', 'very', 'pessimistic', 'estimates']] | [-0.19153946361271665, 0.07812187309973524, -0.14873541040811689, 0.07460380985052324, 0.0027360936533659696, -0.2985560466069728, 0.11766858151764609, 0.31431263038422913, -0.20012576749315486, -0.2897121121920645, 0.12318890669383109, -0.22837352111935616, -0.04764216309413314, 0.2874179477454163, -0.1806726351985708, 0.1046981167467311, 0.035607577001210304, 0.02404667247377802, -0.03752813798841089, -0.30731505929026753, 0.3179634976200759, 0.04960056134033948, 0.3357497439812869, 0.06456672259315382, 0.1054067408433184, 0.046165174515917895, -0.009638998894952238, -0.0967005012545269, -0.10992935090398533, 0.09973999297711998, 0.26895575403003025, 0.20419250490143895, 0.3182543298602104, -0.41510662199929355, -0.16828779661096632, 0.1074326736945659, 0.1294875120045617, 0.16558931629406287, -0.04785055281361565, -0.2970639104465954, 0.1116486719995737, -0.22149173579527998, -0.09011989946011453, -0.08579795480705797, -0.02418389094993472, 0.012066997857182286, -0.2992758358828723, 0.0542376483976841, 0.10741625068825669, 0.07167063778731972, 0.03093775817658752, -0.09151062846183777, 9.379913797602057e-05, 0.1101414684127667, -0.01374632899882272, -0.03815867020515725, 0.1708201755490154, -0.07368340592947789, -0.14672164900228382, 0.31317845939658584, -0.05065524080768227, -0.16910814138129354, 0.15516574326204136, -0.01936066878028214, -0.16689843740779906, 0.06620749139226972, 0.11551660642959177, 0.0472709170152666, -0.09997939845387009, 0.0657546276767971, -0.034685365473851565, 0.25126327404752374, 0.10112507736310362, 0.1785550324525684, 0.0866184825077653, 0.09610980708850547, 0.13597826194949447, 0.0996878060506424, -0.02832316162530333, -0.1493028645263985, -0.3079397083929507, -0.19969391163263936, -0.22199413070338778, 0.09506778718321585, -0.09845571547470172, -0.10819857913767919, 0.3027851481549442, 0.16539417314343155, 0.10260452173650264, 0.1186318694613874, 0.3864280869811773, 0.09801879144855775, 0.05298545795958489, 0.17792402629180287, 0.22594445060007273, 0.08918219222687185, 0.07632511287694797, -0.10258032114710659, 0.19909635866060854, 0.049955829344689846] |
708.071 | Evidence of two distinct charge carriers in underdoped high Tc cuprates | We present results on heavily underdoped Y_1-xCa_xBa_2Cu_3O_6+y which provide
the evidence that the doping mechanism (cation substitution or oxygen loading)
directly determines whether the corresponding injected mobile holes contribute
to superconductivity or only to the normal metallic properties. We argue that
this hole tagging calls for a subtler description of the correlated bands than
the usual one. We also map in great detail the underdoped superconducting phase
diagram T_c vs. hole doping which shows that the number of mobile holes is not
the critical parameter for the superconductivity.
| cond-mat.str-el cond-mat.supr-con | we present results on heavily underdoped y_1xca_xba_2cu_3o_6y which provide the evidence that the doping mechanism cation substitution or oxygen loading directly determines whether the corresponding injected mobile holes contribute to superconductivity or only to the normal metallic properties we argue that this hole tagging calls for a subtler description of the correlated bands than the usual one we also map in great detail the underdoped superconducting phase diagram t_c vs hole doping which shows that the number of mobile holes is not the critical parameter for the superconductivity | [['we', 'present', 'results', 'on', 'heavily', 'underdoped', 'y_1xca_xba_2cu_3o_6y', 'which', 'provide', 'the', 'evidence', 'that', 'the', 'doping', 'mechanism', 'cation', 'substitution', 'or', 'oxygen', 'loading', 'directly', 'determines', 'whether', 'the', 'corresponding', 'injected', 'mobile', 'holes', 'contribute', 'to', 'superconductivity', 'or', 'only', 'to', 'the', 'normal', 'metallic', 'properties', 'we', 'argue', 'that', 'this', 'hole', 'tagging', 'calls', 'for', 'a', 'subtler', 'description', 'of', 'the', 'correlated', 'bands', 'than', 'the', 'usual', 'one', 'we', 'also', 'map', 'in', 'great', 'detail', 'the', 'underdoped', 'superconducting', 'phase', 'diagram', 't_c', 'vs', 'hole', 'doping', 'which', 'shows', 'that', 'the', 'number', 'of', 'mobile', 'holes', 'is', 'not', 'the', 'critical', 'parameter', 'for', 'the', 'superconductivity']] | [-0.14246467746066294, 0.1748150161510312, -0.018134017763980503, 0.08496809308417141, -0.06484701286669521, -0.17518578596605822, 0.18454270223797908, 0.35197831743835717, -0.21339258245973922, -0.2585759011964346, 0.0022296489767687417, -0.3537785704408226, -0.11754922069416478, 0.16964619672568193, -0.0240061494425453, -0.05563721606458053, -0.04666285683004849, -0.012591225536334082, -0.15486348852054913, -0.27454140405277666, 0.32899112586231755, 0.03154941961897173, 0.35668810914088594, 0.08260081605396993, -0.01687363485003495, -0.0052320139948278666, 0.11130527128604636, 0.03641985361624894, -0.17113093198027834, 0.04679090711662824, 0.2819097002716628, 0.018128866123720663, 0.1933582121527743, -0.4082471567109741, -0.23536288238869146, 0.046355452666851295, 0.1795294372493337, 0.12054530255517912, -0.12290794711329857, -0.23514427998285184, 0.06856866934384893, -0.15075025303374934, -0.10783428873267324, -0.07289669192904585, -0.001846785809652045, -0.03379764475982808, -0.219807886593472, 0.09827725714890169, 0.10084372203283269, 0.033556066688963736, -0.11053307217695675, -0.09548977952873355, -0.07764182530943005, 0.064596153469221, 0.07772295159587486, 0.06492852614978435, 0.18085702850273275, -0.12415000578741832, -0.05029945461957277, 0.3358633094734844, 0.029268903327783324, -0.0958402313709516, 0.16855578714360794, -0.22788245023238932, -0.12485381186907661, 0.14214704310435844, 0.09227867714589698, 0.10084978419345343, -0.1424033034207492, 0.046176708951035796, -0.028300225584842693, 0.2513754949637357, 0.02179497863626343, 0.10303232513218262, 0.2799387089479929, 0.2052126352450457, 0.05197979833117162, 0.10191879145554855, -0.10725968562323472, -0.020095221034583003, -0.22371263866280688, -0.19079910294720154, -0.16939537280410444, 0.05570930801883966, -0.09158760663550133, -0.2133430429913596, 0.3794256230366641, 0.2064352017752398, 0.19369898051366038, -0.09566227394562943, 0.2305457349268662, 0.10890819958743007, 0.060352679631062625, 0.06790337925134547, 0.24798021498189746, 0.06684450831280314, 0.13529827381248705, -0.3000802655393879, 0.11070510327559092, 0.0593913272772541] |
708.0711 | Convergence of adaptive mixtures of importance sampling schemes | In the design of efficient simulation algorithms, one is often beset with a
poor choice of proposal distributions. Although the performance of a given
simulation kernel can clarify a posteriori how adequate this kernel is for the
problem at hand, a permanent on-line modification of kernels causes concerns
about the validity of the resulting algorithm. While the issue is most often
intractable for MCMC algorithms, the equivalent version for importance sampling
algorithms can be validated quite precisely. We derive sufficient convergence
conditions for adaptive mixtures of population Monte Carlo algorithms and show
that Rao--Blackwellized versions asymptotically achieve an optimum in terms of
a Kullback divergence criterion, while more rudimentary versions do not benefit
from repeated updating.
| math.ST stat.CO stat.TH | in the design of efficient simulation algorithms one is often beset with a poor choice of proposal distributions although the performance of a given simulation kernel can clarify a posteriori how adequate this kernel is for the problem at hand a permanent online modification of kernels causes concerns about the validity of the resulting algorithm while the issue is most often intractable for mcmc algorithms the equivalent version for importance sampling algorithms can be validated quite precisely we derive sufficient convergence conditions for adaptive mixtures of population monte carlo algorithms and show that raoblackwellized versions asymptotically achieve an optimum in terms of a kullback divergence criterion while more rudimentary versions do not benefit from repeated updating | [['in', 'the', 'design', 'of', 'efficient', 'simulation', 'algorithms', 'one', 'is', 'often', 'beset', 'with', 'a', 'poor', 'choice', 'of', 'proposal', 'distributions', 'although', 'the', 'performance', 'of', 'a', 'given', 'simulation', 'kernel', 'can', 'clarify', 'a', 'posteriori', 'how', 'adequate', 'this', 'kernel', 'is', 'for', 'the', 'problem', 'at', 'hand', 'a', 'permanent', 'online', 'modification', 'of', 'kernels', 'causes', 'concerns', 'about', 'the', 'validity', 'of', 'the', 'resulting', 'algorithm', 'while', 'the', 'issue', 'is', 'most', 'often', 'intractable', 'for', 'mcmc', 'algorithms', 'the', 'equivalent', 'version', 'for', 'importance', 'sampling', 'algorithms', 'can', 'be', 'validated', 'quite', 'precisely', 'we', 'derive', 'sufficient', 'convergence', 'conditions', 'for', 'adaptive', 'mixtures', 'of', 'population', 'monte', 'carlo', 'algorithms', 'and', 'show', 'that', 'raoblackwellized', 'versions', 'asymptotically', 'achieve', 'an', 'optimum', 'in', 'terms', 'of', 'a', 'kullback', 'divergence', 'criterion', 'while', 'more', 'rudimentary', 'versions', 'do', 'not', 'benefit', 'from', 'repeated', 'updating']] | [-0.04566919476050755, 0.014026008053719877, -0.13846356028456097, 0.15868190715314243, -0.07568372702346472, -0.1762285672955151, 0.0608634847489282, 0.42277727024790285, -0.23709425521544822, -0.31472697762916957, 0.15270945386647986, -0.20145087994651162, -0.15397864972855413, 0.23159281226930786, -0.12860491421426937, 0.08932087217670351, 0.1535857667632658, 0.010077489491809031, -0.11216145352227613, -0.2765771023415286, 0.2494163750991996, 0.1365818498286836, 0.30437842717169433, 0.003481089498783494, 0.11663521055812327, 0.015250012451172646, -0.014683018564969173, 0.03756856802722503, -0.11862721579212841, 0.11342888474484489, 0.2660504277305806, 0.1790187150432632, 0.3676749511967124, -0.38213613329069884, -0.1632367143696495, 0.1616339103944985, 0.18392420743475668, 0.11521724611320051, -0.042235931882997055, -0.223182017754378, 0.0807575110972313, -0.1462046963098491, -0.10325846438906316, -0.10103444958202026, -0.07424539708981998, 0.0238839917894501, -0.3457624597940594, 0.07602896977312348, 0.049525242491528905, 0.04882897762581706, 0.012320974458346208, -0.14176310663882258, 0.0643942757461477, 0.07326006025059856, 0.03023263197974302, -0.018027895796594435, 0.11672060944316588, -0.137857232846978, -0.1414415257449005, 0.35064996621603595, -0.002940236040840632, -0.2506191673014185, 0.16889119795764443, -0.03310660108952012, -0.1602934265774193, 0.1553841896740527, 0.15509279276011512, 0.14395688126538078, -0.1817497452961859, 0.06878835047296136, -0.01239902760024616, 0.1613237294951777, 0.027090356610956247, 0.010870779852447068, 0.13431381322102268, 0.1528135564635861, 0.11941044802319836, 0.15948755902153888, -0.036451443748805545, -0.15852700297495928, -0.2675933044289383, -0.13695968427406302, -0.20151518960282655, -0.007442354383062499, -0.12575960162099237, -0.19338701097374975, 0.3352802669035335, 0.22870556876898326, 0.13719825631063753, 0.09454690808769524, 0.3233565219160137, 0.09319288101888278, 0.02035546622335397, 0.13272143131049735, 0.18870170579034964, 0.10372133156413148, 0.06685426138774973, -0.20761781570638113, 0.16949278622833563, 0.08927711033551343] |
708.0712 | Virtual Environments for Training: From Individual Learning to
Collaboration with Humanoids | The next generation of virtual environments for training is oriented towards
collaborative aspects. Therefore, we have decided to enhance our platform for
virtual training environments, adding collaboration opportunities and
integrating humanoids. In this paper we put forward a model of humanoid that
suits both virtual humans and representations of real users, according to
collaborative training activities. We suggest adaptations to the scenario model
of our platform making it possible to write collaborative procedures. We
introduce a mechanism of action selection made up of a global repartition and
an individual choice. These models are currently being integrated and validated
in GVT, a virtual training tool for maintenance of military equipments,
developed in collaboration with the French company NEXTER-Group.
| cs.GR | the next generation of virtual environments for training is oriented towards collaborative aspects therefore we have decided to enhance our platform for virtual training environments adding collaboration opportunities and integrating humanoids in this paper we put forward a model of humanoid that suits both virtual humans and representations of real users according to collaborative training activities we suggest adaptations to the scenario model of our platform making it possible to write collaborative procedures we introduce a mechanism of action selection made up of a global repartition and an individual choice these models are currently being integrated and validated in gvt a virtual training tool for maintenance of military equipments developed in collaboration with the french company nextergroup | [['the', 'next', 'generation', 'of', 'virtual', 'environments', 'for', 'training', 'is', 'oriented', 'towards', 'collaborative', 'aspects', 'therefore', 'we', 'have', 'decided', 'to', 'enhance', 'our', 'platform', 'for', 'virtual', 'training', 'environments', 'adding', 'collaboration', 'opportunities', 'and', 'integrating', 'humanoids', 'in', 'this', 'paper', 'we', 'put', 'forward', 'a', 'model', 'of', 'humanoid', 'that', 'suits', 'both', 'virtual', 'humans', 'and', 'representations', 'of', 'real', 'users', 'according', 'to', 'collaborative', 'training', 'activities', 'we', 'suggest', 'adaptations', 'to', 'the', 'scenario', 'model', 'of', 'our', 'platform', 'making', 'it', 'possible', 'to', 'write', 'collaborative', 'procedures', 'we', 'introduce', 'a', 'mechanism', 'of', 'action', 'selection', 'made', 'up', 'of', 'a', 'global', 'repartition', 'and', 'an', 'individual', 'choice', 'these', 'models', 'are', 'currently', 'being', 'integrated', 'and', 'validated', 'in', 'gvt', 'a', 'virtual', 'training', 'tool', 'for', 'maintenance', 'of', 'military', 'equipments', 'developed', 'in', 'collaboration', 'with', 'the', 'french', 'company', 'nextergroup']] | [-0.09539172470023663, 0.08574075972501305, -0.07007841290735463, 0.05192656953546122, -0.14016016697157815, -0.16609695610782965, 0.10457606014799616, 0.4475542968811451, -0.2391731941927995, -0.3555845951436666, 0.048428562028205085, -0.23501965469391695, -0.18102531982505501, 0.19284372712116174, -0.08952846198994378, 0.04557975345483885, 0.08844785136371401, -0.003723146891671008, 0.03924130015868035, -0.28578432231884576, 0.30552618898921, 0.09239740216510435, 0.33780593290154276, 0.027937164730874115, 0.10598206697312858, 0.0006647328249026282, -0.08875042855878087, -0.04108069061281828, -0.023459200369525833, 0.17306296247788222, 0.3280509572474204, 0.2096856660169453, 0.3325350728700869, -0.4347747355410508, -0.1569930949119915, 0.08776713100840049, 0.1285380621496909, 0.07020738866814444, -0.07816894749853888, -0.3487458305337049, 0.11078084363945326, -0.25905067141690685, -0.11775217249644278, -0.10663333044343243, -0.008615484814448604, -0.023661623550338094, -0.3029045378528375, -0.09050094109863557, -0.010655930398256871, 0.08088081308383623, -0.06861002955200343, -0.08057663138706944, 0.03132411373120829, 0.22763779553873786, 0.03650253032763681, 0.01616967470959182, 0.15448472323648807, -0.162374359886724, -0.1750506935721456, 0.40262742044307803, 0.011470948596854276, -0.2026261822863709, 0.2104561649361256, -0.03406988452329172, -0.16949163107924034, 0.025493209322529107, 0.265939964952975, 0.07551645853251604, -0.1940985036821201, 0.026116745825455492, 0.011137982801803194, 0.12227617834437766, 0.026121049593523914, -0.049755191811810026, 0.1877015849559343, 0.2791870006697317, 0.0472011405368464, 0.10542714687321207, -0.03586375511076767, -0.09281120408007248, -0.2527899354262727, -0.1789427560127886, -0.1081121236563596, -0.003144243418977692, -0.0340255283111313, -0.11410954093624806, 0.3501983313692798, 0.21501186591219798, 0.12407755231532942, 0.07372357761527508, 0.34571967273950577, 0.01500313469120462, 0.13016054485041392, 0.07864991848566269, 0.17854575451828764, -0.023591092105248367, 0.1755213514130948, -0.14096673243630933, 0.07783377226763244, 0.0046622098006051165] |
708.0713 | Edit and verify | Automated theorem provers are used in extended static checking, where they
are the performance bottleneck. Extended static checkers are run typically
after incremental changes to the code. We propose to exploit this usage pattern
to improve performance. We present two approaches of how to do so and a full
solution.
| cs.LO | automated theorem provers are used in extended static checking where they are the performance bottleneck extended static checkers are run typically after incremental changes to the code we propose to exploit this usage pattern to improve performance we present two approaches of how to do so and a full solution | [['automated', 'theorem', 'provers', 'are', 'used', 'in', 'extended', 'static', 'checking', 'where', 'they', 'are', 'the', 'performance', 'bottleneck', 'extended', 'static', 'checkers', 'are', 'run', 'typically', 'after', 'incremental', 'changes', 'to', 'the', 'code', 'we', 'propose', 'to', 'exploit', 'this', 'usage', 'pattern', 'to', 'improve', 'performance', 'we', 'present', 'two', 'approaches', 'of', 'how', 'to', 'do', 'so', 'and', 'a', 'full', 'solution']] | [-0.07906458016484975, 0.0006656914297491312, -0.1062350831180811, 0.1412399390223436, -0.14515740304253996, -0.18110691408626736, 0.07148019064217806, 0.4607033262401819, -0.2613309243321419, -0.32740687295794485, 0.17171502039302142, -0.23056657299399375, -0.10121149120852352, 0.13967872495064512, -0.13297744398936628, 0.1044820292852819, 0.09057889794930815, 0.012303303960943595, -0.08690285432385281, -0.2970145680103451, 0.2599293560348451, 0.01473723204806447, 0.2718163052760065, 0.04986935954540968, 0.031076753907836974, 0.00920902512036264, -0.03784053882118314, 0.045892973095178605, -0.10245685802772642, 0.12708015217343926, 0.3440087228268385, 0.23584780160337687, 0.27188837418332695, -0.48857339382171633, -0.14825562136247755, 0.11655891064554452, 0.1943426868133247, 0.17088039610534905, 0.0007262871880084277, -0.2497349179536104, 0.15829412212595342, -0.21161054824478925, -0.07118344362825155, -0.1226060936972499, -0.05471825618296862, 0.02644487429410219, -0.24752633168594912, 0.0019022673927247525, 0.10358727460727096, 0.02447715651243925, 0.01020548129454255, -0.05223829450085759, 0.057332554031163455, 0.18995168994180858, 0.013252428211271762, -0.02119788178242743, 0.13031955904327333, -0.07496689198072999, -0.18736477139871568, 0.36208349853754046, -0.07962192598730326, -0.2355201508104801, 0.23998458799440414, -0.006166802123188973, -0.16440307681448757, 0.09363746755756437, 0.2117186364531517, 0.12935679979622364, -0.16204134842380882, 0.06198251868481748, 0.0406323878467083, 0.24837761402130126, 0.05352417967282236, 0.013576103560626506, 0.1659252076316625, 0.16657973270863294, 0.03091885891277343, 0.18074972774833442, -0.03405681435018778, -0.09645927132107318, -0.2139032408967614, -0.10174817059654742, -0.09103495415300131, -0.03240917831659317, -0.017822875203273726, -0.1855638463795185, 0.379903271086514, 0.2807630014885217, 0.10227592075243593, 0.10269488004036248, 0.3628046071343124, 0.06204320842400193, 0.10724261205643415, 0.14507005053106695, 0.23455021925270558, -0.001804652395658195, 0.17260013154824264, -0.1838167922385037, 0.06331744330469519, 0.06715824702754616] |
708.0714 | A Strict Inequality for a Minimal Degree of a Direct Product | The minimal faithful permutation degree of a finite group G is the least
non-negative integer n such that G embeds in the symmetric group Sym(n). Work
of Johnson and Wright established conditions for when the minimal degree of a
direct product equals the sum of the minimal degrees for two finite groups.
Wright asked whether this is true for all finite groups. A counter- example of
degree 15 was provided by the referee and was added as an addendum in a paper
of Wright. Here we provide a counter-example of degree 12.
| math.GR | the minimal faithful permutation degree of a finite group g is the least nonnegative integer n such that g embeds in the symmetric group symn work of johnson and wright established conditions for when the minimal degree of a direct product equals the sum of the minimal degrees for two finite groups wright asked whether this is true for all finite groups a counter example of degree 15 was provided by the referee and was added as an addendum in a paper of wright here we provide a counterexample of degree 12 | [['the', 'minimal', 'faithful', 'permutation', 'degree', 'of', 'a', 'finite', 'group', 'g', 'is', 'the', 'least', 'nonnegative', 'integer', 'n', 'such', 'that', 'g', 'embeds', 'in', 'the', 'symmetric', 'group', 'symn', 'work', 'of', 'johnson', 'and', 'wright', 'established', 'conditions', 'for', 'when', 'the', 'minimal', 'degree', 'of', 'a', 'direct', 'product', 'equals', 'the', 'sum', 'of', 'the', 'minimal', 'degrees', 'for', 'two', 'finite', 'groups', 'wright', 'asked', 'whether', 'this', 'is', 'true', 'for', 'all', 'finite', 'groups', 'a', 'counter', 'example', 'of', 'degree', '15', 'was', 'provided', 'by', 'the', 'referee', 'and', 'was', 'added', 'as', 'an', 'addendum', 'in', 'a', 'paper', 'of', 'wright', 'here', 'we', 'provide', 'a', 'counterexample', 'of', 'degree', '12']] | [-0.1718542359971173, 0.13778354714098817, -0.06955667120485526, 0.03309146321565925, -0.08769963801403166, -0.14247192986532237, 0.04503398125550872, 0.32270477335069975, -0.24254330460731263, -0.2805331596578269, 0.12760199362705665, -0.2822514637980772, -0.13254584490736623, 0.1331509021718217, -0.11019551972656147, -0.009044975518127498, 0.014212388314974858, 0.12684343811712967, -0.04591422432112386, -0.3412295963169764, 0.32047867523911205, -0.021551478228977194, 0.1661963966705472, 0.07902769000350457, 0.14326569252728444, 0.035364823593029185, -0.0567972841621984, 0.03475484269185235, -0.14693450786303994, 0.08133970261500824, 0.23482548174164866, 0.12978841535463606, 0.28628582201655145, -0.3285859381633244, -0.1545755669231648, 0.1852707835116788, 0.07180682417896131, 0.01832323998425399, -0.025609956770811394, -0.2068938380309745, 0.14167355300615664, -0.2159736554660966, -0.16579514097564085, 0.0024365443108684344, 0.10986662291638229, -0.02579240577356161, -0.2878269937456302, 0.016023196310371808, 0.1330480240007012, 0.15015485063802614, 0.02248227712445204, -0.15784549107775092, -0.03361821285975368, 0.13905600600517812, -0.04013179222870942, 0.056983710889218615, -0.010169629625085256, -0.08344380395821012, -0.13343353545212228, 0.3770236370113233, -0.08631887457475228, -0.20575262139470357, 0.12007256441385201, -0.14124109508449453, -0.1363095031360306, 0.10074204877626312, 0.09499243173100379, 0.13229406260601853, -0.10358692541242066, 0.15786609466506532, -0.17620821188851868, 0.15448350645475212, 0.1141045535117408, -0.022337666201486212, 0.11394171347922605, 0.0816553623957114, 0.09800751677856011, 0.16491318006149452, 0.017643644363092986, 0.04515469221761399, -0.37514719533045654, -0.21685483289437127, -0.22713431178556714, 0.10585435998686792, -0.10467806106506665, -0.12192255455453921, 0.42670284964792105, 0.03994978532073614, 0.11776239001799536, 0.1009001187555006, 0.20109577869753475, 0.0639209739608265, 0.024076984689125547, 0.08041426008972137, 0.11439446808071807, 0.19437029324320104, -0.07396060655541394, -0.16347617748112458, 0.041723066854857556, 0.14312558769977288] |
708.0715 | Step-up simultaneous tests for identifying active effects in orthogonal
saturated designs | A sequence of null hypotheses regarding the number of negligible effects
(zero effects) in orthogonal saturated designs is formulated. Two step-up
simultaneous testing procedures are proposed to identify active effects
(nonzero effects) under the commonly used assumption of effect sparsity. It is
shown that each procedure controls the experimentwise error rate at a given
$\alpha$ level in the strong sense.
| math.ST stat.TH | a sequence of null hypotheses regarding the number of negligible effects zero effects in orthogonal saturated designs is formulated two stepup simultaneous testing procedures are proposed to identify active effects nonzero effects under the commonly used assumption of effect sparsity it is shown that each procedure controls the experimentwise error rate at a given alpha level in the strong sense | [['a', 'sequence', 'of', 'null', 'hypotheses', 'regarding', 'the', 'number', 'of', 'negligible', 'effects', 'zero', 'effects', 'in', 'orthogonal', 'saturated', 'designs', 'is', 'formulated', 'two', 'stepup', 'simultaneous', 'testing', 'procedures', 'are', 'proposed', 'to', 'identify', 'active', 'effects', 'nonzero', 'effects', 'under', 'the', 'commonly', 'used', 'assumption', 'of', 'effect', 'sparsity', 'it', 'is', 'shown', 'that', 'each', 'procedure', 'controls', 'the', 'experimentwise', 'error', 'rate', 'at', 'a', 'given', 'alpha', 'level', 'in', 'the', 'strong', 'sense']] | [-0.16486679540442614, 0.11449053529649973, -0.05282645387730251, 0.12050350754288956, -0.03870767352248852, -0.183282383888339, 0.07106397325987927, 0.33817923354605833, -0.25657984217007956, -0.2631621735791365, 0.09600530507741496, -0.19287797398865222, -0.15856854170560836, 0.16415434215838712, -0.08574717336644729, 0.09652438966829019, 0.03841108105455836, 0.04501132819956789, -0.05264307550387457, -0.2921108337546078, 0.2748449506703764, 0.10243427481812735, 0.3941571605857462, -0.010283192383940331, 0.12601830462614697, 0.011929634151359399, -0.035133216576650736, 0.05746211970690638, -0.11071028601206005, 0.009218233621989686, 0.2353775319488098, 0.1058525681340446, 0.37131639489283164, -0.37872699424624445, -0.20282737556456898, 0.13623159349275132, 0.06702011032806089, 0.07780777205868314, -0.021973441634327174, -0.22932001225029428, 0.12051853632243971, -0.10416076318942942, -0.12718337831708293, -0.0020547539883409628, -0.01810436542145908, -0.009687843313410363, -0.4093825559752683, 0.08218881687304626, 0.08046140170141977, 0.053932968286486964, -0.03535492217633873, -0.14999301636901993, 0.011211435411435862, 0.13221020515387258, 0.13419947831425816, -0.04094724199336876, 0.15128631359160258, -0.06906690648756922, -0.10423098699538969, 0.3379332861707856, -0.05477498041776319, -0.2816512518717597, 0.15485766952236493, -0.1423185135005042, -0.1517634234468763, 0.15520514682866632, 0.1416745562572032, 0.08880465504092475, -0.12764575948628287, 0.06665224527629714, 0.009991945062453548, 0.1588136631374558, 0.06723135786596686, 0.06370315201735745, 0.1735393503525605, 0.0979332246662428, 0.07574505451290557, 0.12091965403718254, -0.10816873850611348, -0.03024121862836182, -0.34479696707179147, -0.07140324412224193, -0.1294346853159368, -0.015087928126255671, -0.07072124181625744, -0.16740869695931906, 0.3117426832439378, 0.1412475629156688, 0.13843645529511076, 0.007901907619088887, 0.30166963787438966, 0.1079935740834723, 0.07465007102582603, 0.05530094879056075, 0.2509738114895299, 0.1535408311057836, -0.040234461046444875, -0.25296086406645674, 0.15090618862304836, 0.05514364220822851] |
708.0716 | Multi-Particle Quasi Exactly Solvable Difference Equations | Several explicit examples of multi-particle quasi exactly solvable `discrete'
quantum mechanical Hamiltonians are derived by deforming the well-known exactly
solvable multi-particle Hamiltonians, the Ruijsenaars-Schneider-van Diejen
systems. These are difference analogues of the quasi exactly solvable
multi-particle systems, the quantum Inozemtsev systems obtained by deforming
the well-known exactly solvable Calogero-Sutherland systems. They have a finite
number of exactly calculable eigenvalues and eigenfunctions. This paper is a
multi-particle extension of the recent paper by one of the authors on deriving
quasi exactly solvable difference equations of single degree of freedom.
| nlin.SI hep-th math-ph math.MP quant-ph | several explicit examples of multiparticle quasi exactly solvable discrete quantum mechanical hamiltonians are derived by deforming the wellknown exactly solvable multiparticle hamiltonians the ruijsenaarsschneidervan diejen systems these are difference analogues of the quasi exactly solvable multiparticle systems the quantum inozemtsev systems obtained by deforming the wellknown exactly solvable calogerosutherland systems they have a finite number of exactly calculable eigenvalues and eigenfunctions this paper is a multiparticle extension of the recent paper by one of the authors on deriving quasi exactly solvable difference equations of single degree of freedom | [['several', 'explicit', 'examples', 'of', 'multiparticle', 'quasi', 'exactly', 'solvable', 'discrete', 'quantum', 'mechanical', 'hamiltonians', 'are', 'derived', 'by', 'deforming', 'the', 'wellknown', 'exactly', 'solvable', 'multiparticle', 'hamiltonians', 'the', 'ruijsenaarsschneidervan', 'diejen', 'systems', 'these', 'are', 'difference', 'analogues', 'of', 'the', 'quasi', 'exactly', 'solvable', 'multiparticle', 'systems', 'the', 'quantum', 'inozemtsev', 'systems', 'obtained', 'by', 'deforming', 'the', 'wellknown', 'exactly', 'solvable', 'calogerosutherland', 'systems', 'they', 'have', 'a', 'finite', 'number', 'of', 'exactly', 'calculable', 'eigenvalues', 'and', 'eigenfunctions', 'this', 'paper', 'is', 'a', 'multiparticle', 'extension', 'of', 'the', 'recent', 'paper', 'by', 'one', 'of', 'the', 'authors', 'on', 'deriving', 'quasi', 'exactly', 'solvable', 'difference', 'equations', 'of', 'single', 'degree', 'of', 'freedom']] | [-0.15758513334731106, 0.17294291839723222, -0.04100971647792242, 0.10632311191875488, -0.02797379445242272, -0.23681165735152634, -0.08885582615833053, 0.2866582519544119, -0.2710381051186811, -0.22442654657854952, 0.05621212964284827, -0.31445169684328983, -0.17630231674411334, 0.21119815795894034, 0.018622606319364753, 0.1525374615395611, 0.08769136671749451, 0.049955421349626376, -0.11115946518177887, -0.2959897244158624, 0.30967429314147343, -0.045465676730435174, 0.16527849475757897, 0.00827988170468333, 0.1458931436275386, 0.04754106042673811, 0.07494046982504766, 0.01897186244605109, -0.15022217790829018, 0.14606394066306, 0.27879885270852933, -0.017366316174791955, 0.16722313257526944, -0.389050752485425, -0.2207653431793336, 0.1631637975594706, 0.18796059996185993, 0.18506905815394764, 0.03853962378211277, -0.2988225068706511, -0.007311058939773251, -0.21904809773381698, -0.2364875895172273, -0.08463682649149136, 0.00899299350567162, 0.02387292133326727, -0.13726640049241146, 0.1110360096076461, 0.12197977780703116, 0.09838954234010089, -0.014944289482875982, -0.10437311169649051, -0.020971032774964857, 0.06656070158880373, -0.07066613557981327, -0.1108996508886445, 0.055619858499664006, -0.05776202597454275, -0.22154439479477747, 0.4052473665003411, 0.03512621949506534, -0.27152782064777886, 0.19773736381003718, -0.09830141830025241, -0.1677971849673089, 0.11819416003047743, 0.07922870962118561, 0.11470974849494682, -0.20421909029722551, 0.20986838112730766, -0.1057622740203938, 0.06967987850393084, 0.07991446023383601, 0.012156161035157063, 0.15054406132549047, 0.0150953504701399, 0.014165146014420316, 0.1810594405873086, 0.11859303683873308, -0.2285902047349902, -0.329058006625432, -0.10419735100533051, -0.28215268022507767, 0.09526534563734788, -0.056949557900390406, -0.1815165400462733, 0.4619453715753149, 0.043614626437457366, 0.12835410936862568, 0.08059541951991957, 0.21553870884235948, 0.22050862938671012, 0.014058278365568682, 0.06007808604193666, 0.16931878735141997, 0.19813835325343956, -0.020499752030115236, -0.27721557950876147, -0.057734125139011834, 0.20662627737461167] |
708.0717 | X-ray Scattering Study of the spin-Peierls transition and soft phonon
behavior in TiOCl | We have studied the S=1/2 quasi-one-dimensional antiferromagnet TiOCl using
single crystal x-ray diffraction and inelastic x-ray scattering techniques. The
Ti ions form staggered spin chains which dimerize below Tc1 = 66 K and have an
incommensurate lattice distortion between Tc1 and Tc2 = 92 K. Based on our
measurements of the intensities, wave vectors, and harmonics of the
incommensurate superlattice peaks, we construct a model for the incommensurate
modulation. The results are in good agreement with a soliton lattice model,
though some quantitative discrepancies exist near Tc2. The behavior of the
phonons has been studied using inelastic x-ray scattering with ~2 meV energy
resolution. For the first time, a zone boundary phonon which softens at the
spin-Peierls temperature Tsp has been observed. Our results show reasonably
good quantitative agreement with the Cross-Fisher theory for the phonon
dynamics at wave vectors near the zone boundary and temperatures near Tsp.
However, not all aspects of the data can be described, such as the strong
overdamping of the soft mode above Tsp. Overall, our results show that TiOCl is
a good realization of a spin-Peierls system, where the phonon softening allows
us to identify the transition temperature as Tsp=Tc2=92 K
| cond-mat.str-el | we have studied the s12 quasionedimensional antiferromagnet tiocl using single crystal xray diffraction and inelastic xray scattering techniques the ti ions form staggered spin chains which dimerize below tc1 66 k and have an incommensurate lattice distortion between tc1 and tc2 92 k based on our measurements of the intensities wave vectors and harmonics of the incommensurate superlattice peaks we construct a model for the incommensurate modulation the results are in good agreement with a soliton lattice model though some quantitative discrepancies exist near tc2 the behavior of the phonons has been studied using inelastic xray scattering with 2 mev energy resolution for the first time a zone boundary phonon which softens at the spinpeierls temperature tsp has been observed our results show reasonably good quantitative agreement with the crossfisher theory for the phonon dynamics at wave vectors near the zone boundary and temperatures near tsp however not all aspects of the data can be described such as the strong overdamping of the soft mode above tsp overall our results show that tiocl is a good realization of a spinpeierls system where the phonon softening allows us to identify the transition temperature as tsptc292 k | [['we', 'have', 'studied', 'the', 's12', 'quasionedimensional', 'antiferromagnet', 'tiocl', 'using', 'single', 'crystal', 'xray', 'diffraction', 'and', 'inelastic', 'xray', 'scattering', 'techniques', 'the', 'ti', 'ions', 'form', 'staggered', 'spin', 'chains', 'which', 'dimerize', 'below', 'tc1', '66', 'k', 'and', 'have', 'an', 'incommensurate', 'lattice', 'distortion', 'between', 'tc1', 'and', 'tc2', '92', 'k', 'based', 'on', 'our', 'measurements', 'of', 'the', 'intensities', 'wave', 'vectors', 'and', 'harmonics', 'of', 'the', 'incommensurate', 'superlattice', 'peaks', 'we', 'construct', 'a', 'model', 'for', 'the', 'incommensurate', 'modulation', 'the', 'results', 'are', 'in', 'good', 'agreement', 'with', 'a', 'soliton', 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708.0718 | Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer
Model | An impurity solver based on a continuous-time quantum Monte Carlo method is
developed for the Coqblin-Schrieffer model. The Monte Carlo simulation does not
encounter a sign problem for antiferromagnetic interactions, and accurately
reproduces the Kondo effect. Our algorithm can deal with an arbitrary number N
of local degrees of freedom, becomes more efficient for larger values of N, and
is hence suitable for models with orbital degeneracy. The dynamical
susceptibility and the impurity t-matrix are derived with the aid of the Pad\'e
approximation for various values of N, and good agreement is found with other
methods and available exact results. We point out that the Korringa-Shiba
relation needs correction for a finite value of the exchange interaction.
| cond-mat.str-el | an impurity solver based on a continuoustime quantum monte carlo method is developed for the coqblinschrieffer model the monte carlo simulation does not encounter a sign problem for antiferromagnetic interactions and accurately reproduces the kondo effect our algorithm can deal with an arbitrary number n of local degrees of freedom becomes more efficient for larger values of n and is hence suitable for models with orbital degeneracy the dynamical susceptibility and the impurity tmatrix are derived with the aid of the pade approximation for various values of n and good agreement is found with other methods and available exact results we point out that the korringashiba relation needs correction for a finite value of the exchange interaction | [['an', 'impurity', 'solver', 'based', 'on', 'a', 'continuoustime', 'quantum', 'monte', 'carlo', 'method', 'is', 'developed', 'for', 'the', 'coqblinschrieffer', 'model', 'the', 'monte', 'carlo', 'simulation', 'does', 'not', 'encounter', 'a', 'sign', 'problem', 'for', 'antiferromagnetic', 'interactions', 'and', 'accurately', 'reproduces', 'the', 'kondo', 'effect', 'our', 'algorithm', 'can', 'deal', 'with', 'an', 'arbitrary', 'number', 'n', 'of', 'local', 'degrees', 'of', 'freedom', 'becomes', 'more', 'efficient', 'for', 'larger', 'values', 'of', 'n', 'and', 'is', 'hence', 'suitable', 'for', 'models', 'with', 'orbital', 'degeneracy', 'the', 'dynamical', 'susceptibility', 'and', 'the', 'impurity', 'tmatrix', 'are', 'derived', 'with', 'the', 'aid', 'of', 'the', 'pade', 'approximation', 'for', 'various', 'values', 'of', 'n', 'and', 'good', 'agreement', 'is', 'found', 'with', 'other', 'methods', 'and', 'available', 'exact', 'results', 'we', 'point', 'out', 'that', 'the', 'korringashiba', 'relation', 'needs', 'correction', 'for', 'a', 'finite', 'value', 'of', 'the', 'exchange', 'interaction']] | [-0.13143245533056971, 0.11433446374308899, -0.09780256000683746, 0.10829852863600971, -0.04827846188703154, -0.17553593977414167, 0.03955816698825767, 0.3635243084221983, -0.22903078189517698, -0.33549906694704396, 0.0540747164716769, -0.31937018307483095, -0.09880854577645978, 0.21183663541968498, 0.05524483503789729, 0.07028819314770313, 0.08029317261818318, 0.020464341792986434, -0.12494564498774707, -0.2473172212127023, 0.2635450305767421, 0.07827491124865049, 0.23485710540324703, 0.05468278287702964, 0.08499326680301346, 0.07363058763962144, 0.034927826947890796, 0.040073023458274126, -0.12548103734372537, 0.07779745869318612, 0.23049051348015126, 0.012579541236488547, 0.24009758042187518, -0.40537949731875944, -0.19817499768657562, 0.07627828198715918, 0.16496434554449704, 0.17866324156554592, -0.051306603963583365, -0.2381620090196116, 0.05351112876087427, -0.19977234300170252, -0.1577373063753948, -0.10815742372288409, -0.011185648190414803, 0.008331196434381936, -0.346902966630669, 0.08964824135033175, -0.01631982179888938, 0.06810048295774011, -0.025685172241467696, -0.16123445548960924, -0.00815468510059624, 0.11203793370121151, 0.01267790963423526, 0.04231811383476433, 0.07257207201566929, -0.10844178093422173, -0.11080308824292041, 0.371061468608359, -0.04013935791260889, -0.21768447801542395, 0.1637326891705171, -0.0997414608609377, -0.10585077095410636, 0.15043367815560177, 0.0862351247889555, 0.14289782974773493, -0.13201189946192196, 0.131956371151878, -0.016134873350970764, 0.18799656811175255, -0.06533415466308212, -0.014020786131694853, 0.1782331281604293, 0.13309612531119433, 0.05059694673599373, 0.11851495731886652, -0.08991152985403553, -0.18880866367656451, -0.2582215531430661, -0.1248949059816555, -0.23112989271171072, 0.02218383719806826, -0.1512367578941491, -0.1851058594790948, 0.3252491053337088, 0.22256084646468458, 0.16384556918190077, 0.0776884532175385, 0.2814682942106683, 0.1448833006205292, 0.031890487091408834, 0.07031046681933933, 0.18802102981732252, 0.1459929332153028, 0.03749543172904314, -0.30147698281818414, 0.08735520503499633, 0.09569102403524722] |
708.0719 | Hopf Bifurcation in a Model for Biological Control | In this paper we study the Lyapunov stability and Hopf bifurcation in a
biological system which models the biological control of parasites of orange
plantations.
| math.DS math.CA | in this paper we study the lyapunov stability and hopf bifurcation in a biological system which models the biological control of parasites of orange plantations | [['in', 'this', 'paper', 'we', 'study', 'the', 'lyapunov', 'stability', 'and', 'hopf', 'bifurcation', 'in', 'a', 'biological', 'system', 'which', 'models', 'the', 'biological', 'control', 'of', 'parasites', 'of', 'orange', 'plantations']] | [-0.1718499369546771, 0.08034059572964906, -0.0886657895334065, 0.012504961318336427, 0.007419589534401893, -0.12799640567973256, 0.07055892255622893, 0.2820669774711132, -0.3060165152698755, -0.16979030296206474, 0.15820034206844866, -0.21651815580204128, -0.37819126188755037, 0.16670546054840088, -0.1570303985103965, 0.07006438136100769, 0.050769778341054915, 0.028400259790942073, 0.09465268898755312, -0.18900098636746407, 0.33082465471001343, -0.020518149137496947, 0.23855981711298227, -0.0049196543917059896, 0.09351221818476915, -0.052036774596199396, 0.03135874912142753, -0.014450738951563836, -0.2222182996198535, 0.12873200371861457, 0.2891962753301777, 0.12163531083147973, 0.3271564292907715, -0.3666951520740986, -0.22276910621672869, 0.1649087356030941, 0.22715054228901863, 0.12954545037355275, -0.030444534905254842, -0.27006221801042557, 0.06783213678747416, -0.16678338151425123, -0.11468460122123361, -0.03673281662166119, 0.005135319922119379, 0.070089900335297, -0.22294817879796028, 0.05750317823141813, 0.08056646477431059, 0.21352566182613372, -0.1743878922611475, 0.02820881808642298, -0.14556439012289046, 0.1562940122373402, 0.031981199160218236, -0.07223283526487649, 0.2095879590883851, -0.1401325873937458, -0.14642161469906567, 0.3148946562409401, 0.024944493705406787, -0.1899165642913431, 0.22359845974016934, -0.13538271501660348, -0.1897101077437401, 0.09833320870995521, 0.24336881294846535, 0.13617899596691133, -0.20663311783224345, 0.014146181677933783, -0.02251071460545063, 0.15545975372195245, 0.09151055380702018, -0.024896936118602754, 0.10861268565058708, 0.2661660958081484, 0.058430115310475234, 0.17675760382786393, -0.04151392117142677, -0.13458110749721527, -0.23010127514600753, -0.2146953733637929, -0.04297556042671204, 0.09418447270989418, -0.07496638772950974, -0.23435566261410712, 0.5141393280029297, 0.16861724838614464, 0.18212336968630552, 0.06144662052858621, 0.2711125162243843, 0.01802685298025608, 0.009104946628212929, -0.04835898551158607, 0.21448899894952775, 0.1364410925656557, 0.2037003732472658, -0.26748299330472947, 0.053130140006542204, 0.06630324833095073] |
708.072 | Quantum mechanics as a spontaneously broken gauge theory on a U(1) gerbe | Any quantum-mechanical system possesses a U(1) gerbe naturally defined on
configuration space. Acting on Feynman's kernel exp(iS/h), this U(1) symmetry
allows one to arbitrarily pick the origin for the classical action S, on a
point-by-point basis on configuration space. This is equivalent to the
statement that quantum mechanics is a U(1) gauge theory. Unlike Yang-Mills
theories, however, the geometry of this gauge symmetry is not given by a fibre
bundle, but rather by a gerbe. Since this gauge symmetry is spontaneously
broken, an analogue of the Higgs mechanism must be present. We prove that a
Heisenberg-like noncommutativity for the space coordinates is responsible for
the breaking. This allows to interpret the noncommutativity of space
coordinates as a Higgs mechanism on the quantum-mechanical U(1) gerbe.
| math-ph hep-th math.MP quant-ph | any quantummechanical system possesses a u1 gerbe naturally defined on configuration space acting on feynmans kernel expish this u1 symmetry allows one to arbitrarily pick the origin for the classical action s on a pointbypoint basis on configuration space this is equivalent to the statement that quantum mechanics is a u1 gauge theory unlike yangmills theories however the geometry of this gauge symmetry is not given by a fibre bundle but rather by a gerbe since this gauge symmetry is spontaneously broken an analogue of the higgs mechanism must be present we prove that a heisenberglike noncommutativity for the space coordinates is responsible for the breaking this allows to interpret the noncommutativity of space coordinates as a higgs mechanism on the quantummechanical u1 gerbe | [['any', 'quantummechanical', 'system', 'possesses', 'a', 'u1', 'gerbe', 'naturally', 'defined', 'on', 'configuration', 'space', 'acting', 'on', 'feynmans', 'kernel', 'expish', 'this', 'u1', 'symmetry', 'allows', 'one', 'to', 'arbitrarily', 'pick', 'the', 'origin', 'for', 'the', 'classical', 'action', 's', 'on', 'a', 'pointbypoint', 'basis', 'on', 'configuration', 'space', 'this', 'is', 'equivalent', 'to', 'the', 'statement', 'that', 'quantum', 'mechanics', 'is', 'a', 'u1', 'gauge', 'theory', 'unlike', 'yangmills', 'theories', 'however', 'the', 'geometry', 'of', 'this', 'gauge', 'symmetry', 'is', 'not', 'given', 'by', 'a', 'fibre', 'bundle', 'but', 'rather', 'by', 'a', 'gerbe', 'since', 'this', 'gauge', 'symmetry', 'is', 'spontaneously', 'broken', 'an', 'analogue', 'of', 'the', 'higgs', 'mechanism', 'must', 'be', 'present', 'we', 'prove', 'that', 'a', 'heisenberglike', 'noncommutativity', 'for', 'the', 'space', 'coordinates', 'is', 'responsible', 'for', 'the', 'breaking', 'this', 'allows', 'to', 'interpret', 'the', 'noncommutativity', 'of', 'space', 'coordinates', 'as', 'a', 'higgs', 'mechanism', 'on', 'the', 'quantummechanical', 'u1', 'gerbe']] | [-0.1950445238186607, 0.20226822404024794, -0.12170419545950202, 0.10417466469835944, -0.16240998599829712, -0.15472390572729755, -0.005658129077760608, 0.35428955231232917, -0.22510806097823188, -0.2097578156716758, 0.05379726519387942, -0.1901382109175372, -0.1657252101288215, 0.09678698401156116, -0.0893332764049197, -0.01546518220679789, -0.030383936352876385, 0.07230223284852577, -0.11096074720238888, -0.23158482873596523, 0.35392552849314196, 0.02122705765314612, 0.2819170426289604, 0.005681512843272308, 0.17614159140096053, 0.03876147290305575, 0.07267868620290505, -0.05297832809695292, -0.06713203975883013, 0.11517693320425546, 0.1876167769816409, 0.0522798157961494, 0.1695202171681373, -0.39375306952108696, -0.2282995629025911, 0.13121001862511947, 0.13156783361957083, 0.11755666682473952, -0.005413500284511081, -0.3397984255854858, 0.02723528337248457, -0.1611255532910487, -0.15941747692432556, -0.09879403577632899, 0.0055552019700512096, -0.16534795688287302, -0.2445124923819449, -0.003995029878522444, 0.046209920803463554, 0.08683627992262685, -0.04990814260407767, 0.02197346367354588, -0.07915472305887114, 0.017578250944341827, 0.09853908208925731, 0.1180314430418023, 0.15803249932094893, -0.13342607617321448, -0.1516219369302375, 0.47676489926208326, -0.032686563666788786, -0.29282606296559294, 0.09221247791755581, -0.1248470813478911, -0.16967449140379098, 0.10822776450616557, 0.07738261178847615, 0.1208646136101305, -0.08640099753724123, 0.2354224067620509, -0.10681800635501258, 0.16233786509554016, 0.02838098415839902, 0.02082724786340827, 0.23583266184460827, 0.10058689128505294, 0.12250789993099974, 0.09351934696172887, 0.015524146228468394, -0.15526316545684102, -0.45476987461249035, -0.21460567019516374, -0.16932824544033143, 0.168532077469262, -0.07906447313498796, -0.1407101862170408, 0.3648795998178241, 0.117196151901063, 0.2188454941104401, 0.019436276911538306, 0.22271206568002822, 0.11664176489154589, 0.12245690690853246, -0.018115848134370234, 0.21246003464046048, 0.1648526983117927, 0.050988754685362424, -0.2160828586145327, -0.039807913442543606, 0.21443931131843266] |
708.0721 | The Mass Function of omega Centauri down to 0.15 M_s | By means of deep FORS1@VLT and ACS@HST observations of a wide area in the
stellar system omega Cen we measured the luminosity function of main sequence
stars down to R=22.6 and I_{F814W}=24.5 . The luminosity functions obtained
have been converted into mass functions and compared with analytical Initial
Mass Functions (IMFs) available in the literature. The mass function obtained,
reaching M~0.15 M_s, can be well reproduced by a broken power-law with indices
alpha=-2.3 for M>0.5 M_s and alpha=-0.8 for M<0.5 M_s. Since the stellar
populations of omega Cen have been proved to be actually unaffected by
dynamical evolution processes, the mass function measured in this stellar
system should represent the best approximation of the IMF of a star cluster.
The comparison with the MF measured in other Galactic globular clusters
suggests that possible primordial differences in the slope of the low-mass end
of their MF could exist.
| astro-ph | by means of deep fors1vlt and acshst observations of a wide area in the stellar system omega cen we measured the luminosity function of main sequence stars down to r226 and i_f814w245 the luminosity functions obtained have been converted into mass functions and compared with analytical initial mass functions imfs available in the literature the mass function obtained reaching m015 m_s can be well reproduced by a broken powerlaw with indices alpha23 for m05 m_s and alpha08 for m05 m_s since the stellar populations of omega cen have been proved to be actually unaffected by dynamical evolution processes the mass function measured in this stellar system should represent the best approximation of the imf of a star cluster the comparison with the mf measured in other galactic globular clusters suggests that possible primordial differences in the slope of the lowmass end of their mf could exist | [['by', 'means', 'of', 'deep', 'fors1vlt', 'and', 'acshst', 'observations', 'of', 'a', 'wide', 'area', 'in', 'the', 'stellar', 'system', 'omega', 'cen', 'we', 'measured', 'the', 'luminosity', 'function', 'of', 'main', 'sequence', 'stars', 'down', 'to', 'r226', 'and', 'i_f814w245', 'the', 'luminosity', 'functions', 'obtained', 'have', 'been', 'converted', 'into', 'mass', 'functions', 'and', 'compared', 'with', 'analytical', 'initial', 'mass', 'functions', 'imfs', 'available', 'in', 'the', 'literature', 'the', 'mass', 'function', 'obtained', 'reaching', 'm015', 'm_s', 'can', 'be', 'well', 'reproduced', 'by', 'a', 'broken', 'powerlaw', 'with', 'indices', 'alpha23', 'for', 'm05', 'm_s', 'and', 'alpha08', 'for', 'm05', 'm_s', 'since', 'the', 'stellar', 'populations', 'of', 'omega', 'cen', 'have', 'been', 'proved', 'to', 'be', 'actually', 'unaffected', 'by', 'dynamical', 'evolution', 'processes', 'the', 'mass', 'function', 'measured', 'in', 'this', 'stellar', 'system', 'should', 'represent', 'the', 'best', 'approximation', 'of', 'the', 'imf', 'of', 'a', 'star', 'cluster', 'the', 'comparison', 'with', 'the', 'mf', 'measured', 'in', 'other', 'galactic', 'globular', 'clusters', 'suggests', 'that', 'possible', 'primordial', 'differences', 'in', 'the', 'slope', 'of', 'the', 'lowmass', 'end', 'of', 'their', 'mf', 'could', 'exist']] | [-0.0556572875642208, 0.13677274322091965, -0.10417760527383911, 0.15261348666374236, -0.038270706372309685, -0.05567432081847477, 0.04748243231895483, 0.4073110628831071, -0.17318600191275538, -0.4005442435284042, 0.03042913870417073, -0.25362349287348074, -0.011852852020335073, 0.21127703871065429, -0.022807668913931895, 0.04522178687249026, 0.06293169348807875, -0.034184149301533275, -0.06598037988563495, -0.22283649890515436, 0.32410353915959905, 0.01932515073773781, 0.148423242130472, -0.02082273273521827, 0.038433359206667066, -0.0824283076358875, -0.03921924408253593, -0.011339264530559175, -0.1613912731524781, 0.003491502211949814, 0.21453335562061207, 0.15746941261911868, 0.20147755085619995, -0.32274328593889046, -0.20812231153508443, 0.08644225780153647, 0.2259237758246147, -0.019031119177169684, -0.06865856880904175, -0.25003414761805387, 0.08047572894671855, -0.19807433250146764, -0.19142990546081112, 0.04571826069796872, 0.03271760819997224, 0.07480820981759785, -0.2601486588310864, 0.15170427770095152, -0.0031039072542221723, 0.04750074016758137, -0.12746283553153465, -0.19372600993988776, -0.10013396085155869, 0.10244230802668931, 0.05096254642962271, 0.1207270892894788, 0.15284557660601827, -0.10924022282415535, -0.008108361606395597, 0.3528930993375575, -0.08644025579754573, -0.08376234384195413, 0.1633350642902466, -0.23233933051071493, -0.17344325760819224, 0.06736177784235527, 0.1355308496438536, 0.1010574666563318, -0.18975284986016858, 0.06738823026696789, 0.0030756914768264526, 0.213660197177281, 0.06739243522234675, 0.026193753499279007, 0.29288381347497405, 0.13687691887106565, -0.006322847714828741, 0.07351601120212257, -0.10507425170120162, -0.053353724201264816, -0.19395857717932408, -0.058641357463784516, -0.15779427549568936, 0.07949492606631894, -0.13765962682090402, -0.11868618965187731, 0.34315870079121347, 0.06151986465233171, 0.2546738694541596, 0.09353250263181205, 0.25910854481885004, 0.18037774750296698, 0.13775322660189382, 0.09385772962640557, 0.3141847372882896, 0.19014233490533014, 0.08826401421295789, -0.23583660538901718, 0.07186013228945537, -0.013812689775174173] |
708.0722 | Filtering of Wide Sense Stationary Quantum Stochastic Processes | We introduce a concept of a quantum wide sense stationary process taking
values in a C*-algebra and expected in a sub-algebra. The power spectrum of
such a process is defined, in analogy to classical theory, as a positive
measure on frequency space taking values in the expected algebra. The notion of
linear quantum filters is introduced as some simple examples mentioned.
| math-ph math.MP | we introduce a concept of a quantum wide sense stationary process taking values in a calgebra and expected in a subalgebra the power spectrum of such a process is defined in analogy to classical theory as a positive measure on frequency space taking values in the expected algebra the notion of linear quantum filters is introduced as some simple examples mentioned | [['we', 'introduce', 'a', 'concept', 'of', 'a', 'quantum', 'wide', 'sense', 'stationary', 'process', 'taking', 'values', 'in', 'a', 'calgebra', 'and', 'expected', 'in', 'a', 'subalgebra', 'the', 'power', 'spectrum', 'of', 'such', 'a', 'process', 'is', 'defined', 'in', 'analogy', 'to', 'classical', 'theory', 'as', 'a', 'positive', 'measure', 'on', 'frequency', 'space', 'taking', 'values', 'in', 'the', 'expected', 'algebra', 'the', 'notion', 'of', 'linear', 'quantum', 'filters', 'is', 'introduced', 'as', 'some', 'simple', 'examples', 'mentioned']] | [-0.12422908221936373, 0.12881252427631226, -0.08283477716270041, 0.07256776115650236, -0.07353521871273636, -0.09637451243632641, 0.04287551411954289, 0.3317057036290892, -0.3313642150310219, -0.22302681903858654, 0.0952856403672457, -0.23679388856484754, -0.17091963049329695, 0.22480221715618354, -0.1205685316264385, 0.05668130826603881, 0.014095155033664625, 0.09864246589513342, -0.0805010371154449, -0.16212308969821965, 0.3347950293835191, 0.0628542897451791, 0.25461981659297084, -0.001847046022837768, 0.1512561045953485, 0.005923573561318097, -0.00514802947968672, 0.06916500821845133, -0.13767052402139687, 0.06370680332641865, 0.27548478801780546, 0.1161415229444621, 0.3296476215979115, -0.316196317387531, -0.19933819439506434, 0.15769765929120486, 0.08720738591519414, 0.05055560381915115, -0.04766853376039777, -0.27209294758370667, 0.07189173596437837, -0.23524699588382586, -0.11447266784313394, -0.05508192521939818, 0.03278323791951674, -0.034176795667067904, -0.28871527007307674, -0.008392510034876769, 0.10881110238002949, 0.0796807497953538, -0.06523044224156709, -0.05771130240201706, 0.003580594790305515, 0.08288183761760592, -0.06217448394382983, 0.0024615915331867386, 0.13391477055847645, -0.09844105278492951, -0.16587614587347832, 0.3932981775676618, -0.08311531562968845, -0.2357318962573028, 0.13453605161888188, -0.16438963801645842, -0.10781314561036645, 0.059739508202345276, 0.1380243567047549, 0.10899155605279032, -0.08045047100778425, 0.17580052575031602, -0.07316067741542566, 0.08634349500920746, 0.03449527621574578, 0.09349265240407625, 0.1772878655827925, 0.12825784030691034, 0.06783050181130405, 0.16423488260231545, 0.007351326279067358, -0.1382128209501627, -0.34725685394750755, -0.18138061541697528, -0.1990263843908906, 0.11951444541928588, -0.07639061759553323, -0.20705425843107897, 0.4078333833651831, 0.10333500981433928, 0.25398927371277186, 0.06980822354432989, 0.2599563516378708, 0.2076185393093734, 0.06723910290938725, 0.00726102095585866, 0.17204347911880535, 0.20873820051917288, 0.08062246473139671, -0.10546452597882904, 0.003891361197914745, 0.12240331786394608] |
708.0723 | The Newtonian Limit of F(R) gravity | A general analytic procedure is developed to deal with the Newtonian limit of
$f(R)$ gravity. A discussion comparing the Newtonian and the post-Newtonian
limit of these models is proposed in order to point out the differences between
the two approaches. We calculate the post-Newtonian parameters of such theories
without any redefinition of the degrees of freedom, in particular, without
adopting some scalar fields and without any change from Jordan to Einstein
frame. Considering the Taylor expansion of a generic $f(R)$ theory, it is
possible to obtain general solutions in term of the metric coefficients up to
the third order of approximation. In particular, the solution relative to the
$g_{tt}$ component gives a gravitational potential always corrected with
respect to the Newtonian one of the linear theory $f(R)=R$. Furthermore, we
show that the Birkhoff theorem is not a general result for $f(R)$-gravity since
time-dependent evolution for spherically symmetric solutions can be achieved
depending on the order of perturbations. Finally, we discuss the
post-Minkowskian limit and the emergence of massive gravitational wave
solutions.
| gr-qc astro-ph | a general analytic procedure is developed to deal with the newtonian limit of fr gravity a discussion comparing the newtonian and the postnewtonian limit of these models is proposed in order to point out the differences between the two approaches we calculate the postnewtonian parameters of such theories without any redefinition of the degrees of freedom in particular without adopting some scalar fields and without any change from jordan to einstein frame considering the taylor expansion of a generic fr theory it is possible to obtain general solutions in term of the metric coefficients up to the third order of approximation in particular the solution relative to the g_tt component gives a gravitational potential always corrected with respect to the newtonian one of the linear theory frr furthermore we show that the birkhoff theorem is not a general result for frgravity since timedependent evolution for spherically symmetric solutions can be achieved depending on the order of perturbations finally we discuss the postminkowskian limit and the emergence of massive gravitational wave solutions | [['a', 'general', 'analytic', 'procedure', 'is', 'developed', 'to', 'deal', 'with', 'the', 'newtonian', 'limit', 'of', 'fr', 'gravity', 'a', 'discussion', 'comparing', 'the', 'newtonian', 'and', 'the', 'postnewtonian', 'limit', 'of', 'these', 'models', 'is', 'proposed', 'in', 'order', 'to', 'point', 'out', 'the', 'differences', 'between', 'the', 'two', 'approaches', 'we', 'calculate', 'the', 'postnewtonian', 'parameters', 'of', 'such', 'theories', 'without', 'any', 'redefinition', 'of', 'the', 'degrees', 'of', 'freedom', 'in', 'particular', 'without', 'adopting', 'some', 'scalar', 'fields', 'and', 'without', 'any', 'change', 'from', 'jordan', 'to', 'einstein', 'frame', 'considering', 'the', 'taylor', 'expansion', 'of', 'a', 'generic', 'fr', 'theory', 'it', 'is', 'possible', 'to', 'obtain', 'general', 'solutions', 'in', 'term', 'of', 'the', 'metric', 'coefficients', 'up', 'to', 'the', 'third', 'order', 'of', 'approximation', 'in', 'particular', 'the', 'solution', 'relative', 'to', 'the', 'g_tt', 'component', 'gives', 'a', 'gravitational', 'potential', 'always', 'corrected', 'with', 'respect', 'to', 'the', 'newtonian', 'one', 'of', 'the', 'linear', 'theory', 'frr', 'furthermore', 'we', 'show', 'that', 'the', 'birkhoff', 'theorem', 'is', 'not', 'a', 'general', 'result', 'for', 'frgravity', 'since', 'timedependent', 'evolution', 'for', 'spherically', 'symmetric', 'solutions', 'can', 'be', 'achieved', 'depending', 'on', 'the', 'order', 'of', 'perturbations', 'finally', 'we', 'discuss', 'the', 'postminkowskian', 'limit', 'and', 'the', 'emergence', 'of', 'massive', 'gravitational', 'wave', 'solutions']] | [-0.15379767789783186, 0.04273649388161755, -0.10870557249767422, 0.07640009925956702, -0.09228645402894557, -0.10234070880534618, -0.0010097978094712509, 0.2742788829726347, -0.22111529595496363, -0.26592790518856024, 0.07153334499374904, -0.2550453367092979, -0.1450052130776757, 0.15882841531971567, -0.03856686271906814, 0.037509293946279595, 0.008067148231100617, 0.07930231860591022, -0.13884382957642985, -0.2481597832537512, 0.35455584648604455, 0.04998536618720544, 0.1925941824733296, 0.02374880860848298, 0.11107898932100105, -0.02807029249958084, -0.020012737766496445, 0.06356481119325896, -0.1479353291346853, 0.08238616880378005, 0.20232500586431418, 0.09570328758114524, 0.243373944609268, -0.4068521138727229, -0.23619325515100656, 0.10864256393730815, 0.10377693210581415, 0.18444485670739882, -0.006995678906552276, -0.2707375751165619, 0.09163948804499548, -0.21543667280885842, -0.19812307631248358, -0.08970407902519083, 0.0188721466526302, 0.015011873167029947, -0.2802843107536914, 0.08412683741952026, 0.07896997743751343, -0.01776453746450052, -0.09286312151384371, -0.04160516349563364, 0.019354545617508784, 0.08094537671252389, 0.12401771176965874, 0.06266147114897462, 0.08340144431904743, -0.14517057729525523, -0.07879200551933908, 0.4504300128908185, -0.13444812422208433, -0.26650753126061677, 0.1540622142925096, -0.16864067586465625, -0.1143955802422409, 0.06900443885971014, 0.13690597995876047, 0.14974913618402086, -0.14161227524215192, 0.1567165213095825, 0.036695585692419166, 0.1454889756759795, 0.13638296911264197, 0.002067151754122358, 0.23032630970211407, 0.06978279867411008, 0.045973065491678594, 0.10653195232466103, -0.03920389558134154, -0.1400725924119228, -0.36039631397664895, -0.1365852242891203, -0.13819332244364838, 0.056251792433570896, -0.183086819837584, -0.16832937546924018, 0.3919079676433875, 0.14730037483509237, 0.11183023923457933, 0.092315311124276, 0.26474933508151804, 0.16525152273209254, 0.03593331812853701, 0.07187238205442129, 0.337046692305284, 0.15171835075775217, 0.06586290231214194, -0.21010688610500194, -0.030204007553198096, 0.10926171235620366] |
708.0724 | Current-Noise Spectroscopy with a Scanning Tunneling Microscope | This paper has been withdrawn due to fundamental errors.
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708.0725 | Discovery of a bright eclipsing cataclysmic variable | We report on the discovery of J0644+3344, a bright deeply eclipsing
cataclysmic variable (CV) binary. Spectral signatures of both binary components
and an accretion disk can be seen at optical wavelengths. The optical spectrum
shows broad H I, He I, and He II accretion disk emission lines with deep narrow
absorption components from H I, He I, Mg II and Ca II. The absorption lines are
seen throughout the orbital period, disappearing only during primary eclipse.
These absorption lines are either the the result of an optically-thick inner
accretion disk or from the photosphere of the primary star. Radial velocity
measurements show that the H I, He I, and Mg II absorption lines phase with the
the primary star, while weak absorption features in the continuum phase with
the secondary star. Radial velocity solutions give a 150+/-4 km/s
semi-amplitude for the primary star and 192.8+/-5.6 km/s for the secondary. The
individual stellar masses are 0.63-0.69 Mdot for the primary and 0.49-0.54 Mdot
for the secondary. The bright eclipsing nature of this binary has helped
provide masses for both components with an accuracy rarely achieved for CVs.
This binary most closely resembles a nova-like UX UMa or SW Sex type of CV.
J0644+3344, however, has a longer orbital period than most UX UMa or SW Sex
stars. Assuming an evolution toward shorter orbital periods, J0644+3344 is
therefore likely to be a young interacting binary. The secondary star is
consistent with the size and spectral type of a K8 star, but has an M0 mass.
| astro-ph | we report on the discovery of j06443344 a bright deeply eclipsing cataclysmic variable cv binary spectral signatures of both binary components and an accretion disk can be seen at optical wavelengths the optical spectrum shows broad h i he i and he ii accretion disk emission lines with deep narrow absorption components from h i he i mg ii and ca ii the absorption lines are seen throughout the orbital period disappearing only during primary eclipse these absorption lines are either the the result of an opticallythick inner accretion disk or from the photosphere of the primary star radial velocity measurements show that the h i he i and mg ii absorption lines phase with the the primary star while weak absorption features in the continuum phase with the secondary star radial velocity solutions give a 1504 kms semiamplitude for the primary star and 192856 kms for the secondary the individual stellar masses are 063069 mdot for the primary and 049054 mdot for the secondary the bright eclipsing nature of this binary has helped provide masses for both components with an accuracy rarely achieved for cvs this binary most closely resembles a novalike ux uma or sw sex type of cv j06443344 however has a longer orbital period than most ux uma or sw sex stars assuming an evolution toward shorter orbital periods j06443344 is therefore likely to be a young interacting binary the secondary star is consistent with the size and spectral type of a k8 star but has an m0 mass | [['we', 'report', 'on', 'the', 'discovery', 'of', 'j06443344', 'a', 'bright', 'deeply', 'eclipsing', 'cataclysmic', 'variable', 'cv', 'binary', 'spectral', 'signatures', 'of', 'both', 'binary', 'components', 'and', 'an', 'accretion', 'disk', 'can', 'be', 'seen', 'at', 'optical', 'wavelengths', 'the', 'optical', 'spectrum', 'shows', 'broad', 'h', 'i', 'he', 'i', 'and', 'he', 'ii', 'accretion', 'disk', 'emission', 'lines', 'with', 'deep', 'narrow', 'absorption', 'components', 'from', 'h', 'i', 'he', 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708.0726 | High-order numerical method for the nonlinear Helmholtz equation with
material discontinuities in one space dimension | The nonlinear Helmholtz equation (NLH) models the propagation of
electromagnetic waves in Kerr media, and describes a range of important
phenomena in nonlinear optics and in other areas. In our previous work, we
developed a fourth order method for its numerical solution that involved an
iterative solver based on freezing the nonlinearity. The method enabled a
direct simulation of nonlinear self-focusing in the nonparaxial regime, and a
quantitative prediction of backscattering. However, our simulations showed that
there is a threshold value for the magnitude of the nonlinearity, above which
the iterations diverge. In this study, we numerically solve the one-dimensional
NLH using a Newton-type nonlinear solver. Because the Kerr nonlinearity
contains absolute values of the field, the NLH has to be recast as a system of
two real equations in order to apply Newton's method. Our numerical simulations
show that Newton's method converges rapidly and, in contradistinction with the
iterations based on freezing the nonlinearity, enables computations for very
high levels of nonlinearity. In addition, we introduce a novel compact
finite-volume fourth order discretization for the NLH with material
discontinuities.The one-dimensional results of the current paper create a
foundation for the analysis of multi-dimensional problems in the future.
| math-ph math.MP | the nonlinear helmholtz equation nlh models the propagation of electromagnetic waves in kerr media and describes a range of important phenomena in nonlinear optics and in other areas in our previous work we developed a fourth order method for its numerical solution that involved an iterative solver based on freezing the nonlinearity the method enabled a direct simulation of nonlinear selffocusing in the nonparaxial regime and a quantitative prediction of backscattering however our simulations showed that there is a threshold value for the magnitude of the nonlinearity above which the iterations diverge in this study we numerically solve the onedimensional nlh using a newtontype nonlinear solver because the kerr nonlinearity contains absolute values of the field the nlh has to be recast as a system of two real equations in order to apply newtons method our numerical simulations show that newtons method converges rapidly and in contradistinction with the iterations based on freezing the nonlinearity enables computations for very high levels of nonlinearity in addition we introduce a novel compact finitevolume fourth order discretization for the nlh with material discontinuitiesthe onedimensional results of the current paper create a foundation for the analysis of multidimensional problems in the future | [['the', 'nonlinear', 'helmholtz', 'equation', 'nlh', 'models', 'the', 'propagation', 'of', 'electromagnetic', 'waves', 'in', 'kerr', 'media', 'and', 'describes', 'a', 'range', 'of', 'important', 'phenomena', 'in', 'nonlinear', 'optics', 'and', 'in', 'other', 'areas', 'in', 'our', 'previous', 'work', 'we', 'developed', 'a', 'fourth', 'order', 'method', 'for', 'its', 'numerical', 'solution', 'that', 'involved', 'an', 'iterative', 'solver', 'based', 'on', 'freezing', 'the', 'nonlinearity', 'the', 'method', 'enabled', 'a', 'direct', 'simulation', 'of', 'nonlinear', 'selffocusing', 'in', 'the', 'nonparaxial', 'regime', 'and', 'a', 'quantitative', 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708.0727 | Some calculations on type II_1 unprojection | The type II_1 unprojection is, by definition, the generic complete
intersection type II unprojection, in the sense of [Papadakis, Type II
unprojection, J. Algebraic Geometry, 15 (2006) 399--414] Section 3.1, for the
parameter value k = 1, and depends on a parameter n greater or equal than 2.
Our main results are the explicit calculation of the linear relations of the
type II_1 unprojection for any value of n greater or equal than 2 (Theorem
3.16) and the explicit calculation of the quadratic equation for the case n = 3
(Theorem 4.1). In addition, Section 5 contains applications to algebraic
geometry while Section 6 contains the Macaulay 2 code for the type II_1
unprojection for the parameter value n = 3.
| math.AG math.AC | the type ii_1 unprojection is by definition the generic complete intersection type ii unprojection in the sense of papadakis type ii unprojection j algebraic geometry 15 2006 399414 section 31 for the parameter value k 1 and depends on a parameter n greater or equal than 2 our main results are the explicit calculation of the linear relations of the type ii_1 unprojection for any value of n greater or equal than 2 theorem 316 and the explicit calculation of the quadratic equation for the case n 3 theorem 41 in addition section 5 contains applications to algebraic geometry while section 6 contains the macaulay 2 code for the type ii_1 unprojection for the parameter value n 3 | [['the', 'type', 'ii_1', 'unprojection', 'is', 'by', 'definition', 'the', 'generic', 'complete', 'intersection', 'type', 'ii', 'unprojection', 'in', 'the', 'sense', 'of', 'papadakis', 'type', 'ii', 'unprojection', 'j', 'algebraic', 'geometry', '15', '2006', '399414', 'section', '31', 'for', 'the', 'parameter', 'value', 'k', '1', 'and', 'depends', 'on', 'a', 'parameter', 'n', 'greater', 'or', 'equal', 'than', '2', 'our', 'main', 'results', 'are', 'the', 'explicit', 'calculation', 'of', 'the', 'linear', 'relations', 'of', 'the', 'type', 'ii_1', 'unprojection', 'for', 'any', 'value', 'of', 'n', 'greater', 'or', 'equal', 'than', '2', 'theorem', '316', 'and', 'the', 'explicit', 'calculation', 'of', 'the', 'quadratic', 'equation', 'for', 'the', 'case', 'n', '3', 'theorem', '41', 'in', 'addition', 'section', '5', 'contains', 'applications', 'to', 'algebraic', 'geometry', 'while', 'section', '6', 'contains', 'the', 'macaulay', '2', 'code', 'for', 'the', 'type', 'ii_1', 'unprojection', 'for', 'the', 'parameter', 'value', 'n', '3']] | [-0.1180591904399041, 0.07251548358641215, 0.014948882753602587, 0.07400198298024857, -0.06463656833188401, -0.20338782514883286, 0.02288629085971759, 0.2394116455052271, -0.19561439781732315, -0.31578065697815166, 0.11247621317449798, -0.298938843067417, -0.0793265616043638, 0.2125343783145659, -0.048161675811259665, -0.03946103326753419, 0.019093412119879298, 0.08835221356592882, -0.12333672020870906, -0.2805335040594268, 0.37673958192348606, -0.04032821367439042, 0.21931685051511632, 0.028078251860590063, 0.07296116887114178, 0.051701840301816404, -0.06982762149224679, -0.008499969346209979, -0.19545214467196384, 0.12457457489859408, 0.24556463714848217, 0.12439450189773725, 0.20970156301672643, -0.3255335135926676, -0.09555197174414101, 0.14759981993617666, 0.11307761962644947, 0.03686754392563469, 0.060762791288419604, -0.1695285294479571, 0.1331625793608797, -0.1827616659888568, -0.19035645933726278, 0.03048507834219525, 0.15693689081181064, -0.047604208526054285, -0.27909593884315753, 0.07193738179934075, 0.1466373133743739, 0.12615461319557622, -0.055579023284471445, -0.19305571196322194, 0.002987288350525957, 0.0365277474714268, -0.062115260489428274, 0.03918214623704871, 0.09872011933077732, -0.09992528891411777, -0.11419970666468303, 0.33725047662344754, -0.037749303756809086, -0.19220217868176281, 0.11101157281898026, -0.13250587340523926, -0.12916980980115378, 0.1760824080477031, 0.0914752220806594, 0.12533120068713513, -0.032861412837146185, 0.1856581383040493, -0.04189643331477021, 0.17857692311080092, 0.10890058209546484, -0.01742069645681315, 0.015028008243912814, 0.06844642527528808, 0.05074273664345089, 0.05644220823987236, -0.04389797993856044, -0.028908740360942535, -0.3937846143435464, -0.2018200921961385, -0.12441795435535093, 0.1867942012573839, -0.2059927511058298, -0.11614220817055967, 0.34141649068611807, 0.015304973134054588, 0.17457201876319373, 0.08098945502414663, 0.21358378366845795, 0.07902359638191983, 0.04577325508157667, 0.12001574094781381, 0.21086618465045068, 0.1690235573093956, 0.028965146724596366, -0.13601725538555756, -0.006125576607086974, 0.18315651080905435] |
708.0728 | The optimal P3M algorithm for computing electrostatic energies in
periodic systems | We optimize Hockney and Eastwood's Particle-Particle Particle-Mesh (P3M)
algorithm to achieve maximal accuracy in the electrostatic energies (instead of
forces) in 3D periodic charged systems. To this end we construct an optimal
influence function that minimizes the RMS errors in the energies. As a
by-product we derive a new real-space cut-off correction term, give a
transparent derivation of the systematic errors in terms of Madelung energies,
and provide an accurate analytical estimate for the RMS error of the energies.
This error estimate is a useful indicator of the accuracy of the computed
energies, and allows an easy and precise determination of the optimal values of
the various parameters in the algorithm (Ewald splitting parameter, mesh size
and charge assignment order).
| physics.comp-ph | we optimize hockney and eastwoods particleparticle particlemesh p3m algorithm to achieve maximal accuracy in the electrostatic energies instead of forces in 3d periodic charged systems to this end we construct an optimal influence function that minimizes the rms errors in the energies as a byproduct we derive a new realspace cutoff correction term give a transparent derivation of the systematic errors in terms of madelung energies and provide an accurate analytical estimate for the rms error of the energies this error estimate is a useful indicator of the accuracy of the computed energies and allows an easy and precise determination of the optimal values of the various parameters in the algorithm ewald splitting parameter mesh size and charge assignment order | [['we', 'optimize', 'hockney', 'and', 'eastwoods', 'particleparticle', 'particlemesh', 'p3m', 'algorithm', 'to', 'achieve', 'maximal', 'accuracy', 'in', 'the', 'electrostatic', 'energies', 'instead', 'of', 'forces', 'in', '3d', 'periodic', 'charged', 'systems', 'to', 'this', 'end', 'we', 'construct', 'an', 'optimal', 'influence', 'function', 'that', 'minimizes', 'the', 'rms', 'errors', 'in', 'the', 'energies', 'as', 'a', 'byproduct', 'we', 'derive', 'a', 'new', 'realspace', 'cutoff', 'correction', 'term', 'give', 'a', 'transparent', 'derivation', 'of', 'the', 'systematic', 'errors', 'in', 'terms', 'of', 'madelung', 'energies', 'and', 'provide', 'an', 'accurate', 'analytical', 'estimate', 'for', 'the', 'rms', 'error', 'of', 'the', 'energies', 'this', 'error', 'estimate', 'is', 'a', 'useful', 'indicator', 'of', 'the', 'accuracy', 'of', 'the', 'computed', 'energies', 'and', 'allows', 'an', 'easy', 'and', 'precise', 'determination', 'of', 'the', 'optimal', 'values', 'of', 'the', 'various', 'parameters', 'in', 'the', 'algorithm', 'ewald', 'splitting', 'parameter', 'mesh', 'size', 'and', 'charge', 'assignment', 'order']] | [-0.11575383501782445, 0.04905847870383187, -0.09103866256142067, 0.13678738231458937, -0.028329577316703686, -0.08623683645184767, 0.08067571443714738, 0.3728861215334954, -0.22552488733801232, -0.35162732737746594, 0.023655034655949765, -0.22718866764761653, -0.08441134871840003, 0.17806087470794948, -0.05095856496274977, 0.0859681701129036, 0.07510128057309252, 0.014754659747083324, -0.1287448993603841, -0.18666121236668204, 0.23922872895935265, 0.13785822175727305, 0.2536714508955888, 0.09871998002310678, 0.1253410306861782, 0.03106150958466075, -0.023142217776848602, 0.005903659404208094, -0.20490679099310585, 0.1266721682741417, 0.22834702388366676, 0.00998292850346257, 0.2655537895960891, -0.3857284117868896, -0.14759440047634861, 0.0867424073976354, 0.1455721588177859, 0.17832414493343587, -0.0431368284211573, -0.21542196865469784, 0.055692014639597325, -0.18305464951968672, -0.17487349564020158, -0.09642924462697643, 0.02407763596876698, 0.05336115788668394, -0.3511221575219247, 0.12780586915422168, 0.005201356921056917, 0.042774522836888366, -0.09211286719369513, -0.15625776501246175, 0.03509326262884947, 0.16406717673891177, 0.012250226667798046, 0.06433812279838248, 0.11794352873477106, -0.08350968930349385, -0.07242643231747009, 0.3812305859084857, -0.039806421045056085, -0.24956209392492043, 0.10914465999704297, -0.06625995140175446, -0.0705758865875334, 0.19351273868232965, 0.20064929328164308, 0.10564722408051208, -0.1498749467674485, 0.0656289987446606, 0.047658332118417246, 0.20442673731871516, 0.04466847910040642, 0.050621476999120944, 0.11417415335585, 0.13792508115628893, 0.11480684115125214, 0.1360829301845377, -0.12131296674784084, -0.04246883698486549, -0.3352204782856723, -0.1597511544358725, -0.166886571972331, 0.012656830132828426, -0.15318971901470538, -0.2026731900997081, 0.41422330570738697, 0.18938588865211833, 0.18321027573576923, 0.0827487152823547, 0.3150666913656928, 0.1447028077939541, 0.029294712947468448, 0.06005880247675261, 0.2633990093994633, 0.10668254907290309, 0.031128247173787173, -0.2701330323056397, 0.021093923985263555, 0.12495389452472455] |
708.0729 | Black-hole information puzzle: A generic string-inspired approach | Given the insight steming from string theory, the origin of the black-hole
(BH) information puzzle is traced back to the assumption that it is physically
meaningful to trace out the density matrix over negative-frequency Hawking
particles. Instead, treating them as virtual particles necessarily absorbed by
the BH in a manner consistent with the laws of BH thermodynamics, and tracing
out the density matrix only over physical BH states, the complete evaporation
becomes compatible with unitarity.
| hep-th gr-qc | given the insight steming from string theory the origin of the blackhole bh information puzzle is traced back to the assumption that it is physically meaningful to trace out the density matrix over negativefrequency hawking particles instead treating them as virtual particles necessarily absorbed by the bh in a manner consistent with the laws of bh thermodynamics and tracing out the density matrix only over physical bh states the complete evaporation becomes compatible with unitarity | [['given', 'the', 'insight', 'steming', 'from', 'string', 'theory', 'the', 'origin', 'of', 'the', 'blackhole', 'bh', 'information', 'puzzle', 'is', 'traced', 'back', 'to', 'the', 'assumption', 'that', 'it', 'is', 'physically', 'meaningful', 'to', 'trace', 'out', 'the', 'density', 'matrix', 'over', 'negativefrequency', 'hawking', 'particles', 'instead', 'treating', 'them', 'as', 'virtual', 'particles', 'necessarily', 'absorbed', 'by', 'the', 'bh', 'in', 'a', 'manner', 'consistent', 'with', 'the', 'laws', 'of', 'bh', 'thermodynamics', 'and', 'tracing', 'out', 'the', 'density', 'matrix', 'only', 'over', 'physical', 'bh', 'states', 'the', 'complete', 'evaporation', 'becomes', 'compatible', 'with', 'unitarity']] | [-0.07599102398380637, 0.15415066382537285, -0.11449850292876362, 0.12228600083850324, -0.073749758725365, -0.14584981832653285, 0.070925680527774, 0.2985978788634141, -0.22846733933935562, -0.26320395097136495, 0.06437976468199243, -0.3246103227386872, -0.04087589650104443, 0.136906764904658, -0.015731640569865705, 0.023681965288318074, 0.009530147512753804, 0.04193604687849681, -0.07776730163333316, -0.19641004147473723, 0.33868601291750866, 0.11043139742066463, 0.19654305908828973, 0.02728908499702811, 0.12661039421334863, 0.025094479168765248, -0.06810073675781798, 0.03157613426446915, -0.10059507028170628, 0.04888084683800116, 0.22980605881661176, 0.1703760684033235, 0.18234659678069876, -0.42947567989428836, -0.24041578624397517, 0.06084383099029462, 0.14906112201046198, 0.11579821000496547, -0.03326171334677686, -0.271298965793103, 0.049731523897498846, -0.1996631228054563, -0.15218968706205488, -0.005995072157432635, 0.037395977899432185, -0.09488716947535673, -0.1953619302312533, 0.12133255292971928, 0.061022124886512756, -0.07555390441169342, -0.060625023543834686, -0.02185764300326506, -0.05424699517587821, 0.09082593698675434, 0.10192466010029118, 0.024565887995995583, 0.24009258528550467, -0.09687634949882826, -0.0464373746390144, 0.369764980400602, -0.009871162320487202, -0.16875174028178055, 0.15688724777040383, -0.19624966393535337, -0.0840174799102048, 0.18647946347172062, 0.041709343076994025, 0.11253140016148487, -0.1777895793596205, 0.09973025790027654, -0.052438654120390615, 0.19134228463595113, 0.06958678966077665, 0.04994382337356607, 0.38323178825434295, 0.049788814609249436, 0.01522171347712477, 0.09769736575583617, 0.023744396098190918, -0.17744116519888242, -0.3253141256173452, -0.14969536386430263, -0.1916965615004301, 0.1683071844279766, -0.12245461072132457, -0.1448586400474111, 0.2922239134584864, 0.10457903245463968, 0.24295681432820856, 0.04686223330597083, 0.28450293915346264, 0.11523216679537047, 0.0921785045415163, 0.10954785596579314, 0.24298941187560558, 0.21754779387575884, 0.09296466776169837, -0.251954442365095, 0.04337322072436412, 0.08320320470258594] |
708.073 | Effective Theory Approach to W-Pair Production near Threshold | In this talk, I review the effective theory approach to unstable particle
production and present results of a calculation of the process e- e+ ->mu-
nubar_mu u dbar X near the W-pair production threshold up to next-to-leading
order in GammaW/MW ~ alpha ~ v^2. The remaining theoretical uncertainty and the
impact on the measurement of the W mass is discussed.
| hep-ph | in this talk i review the effective theory approach to unstable particle production and present results of a calculation of the process e e mu nubar_mu u dbar x near the wpair production threshold up to nexttoleading order in gammawmw alpha v2 the remaining theoretical uncertainty and the impact on the measurement of the w mass is discussed | [['in', 'this', 'talk', 'i', 'review', 'the', 'effective', 'theory', 'approach', 'to', 'unstable', 'particle', 'production', 'and', 'present', 'results', 'of', 'a', 'calculation', 'of', 'the', 'process', 'e', 'e', 'mu', 'nubar_mu', 'u', 'dbar', 'x', 'near', 'the', 'wpair', 'production', 'threshold', 'up', 'to', 'nexttoleading', 'order', 'in', 'gammawmw', 'alpha', 'v2', 'the', 'remaining', 'theoretical', 'uncertainty', 'and', 'the', 'impact', 'on', 'the', 'measurement', 'of', 'the', 'w', 'mass', 'is', 'discussed']] | [-0.10273764537775824, 0.1442615753120004, -0.04585874459609903, 0.04478616515242375, 0.021645968651463246, -0.10495274307623763, 0.08035701547211421, 0.29148726290541477, -0.2192038064501409, -0.2649619767185429, 0.010101214906297111, -0.35953359021644654, -0.016803802456706762, 0.11584053144605573, 0.018476787938511575, 0.08831458741092477, 0.08014734302133579, 0.07449831577531736, -0.03072206575648281, -0.20817004682110815, 0.30512002259011156, 0.07208180615421513, 0.19350554737872605, 0.17547543504243268, 0.040897039407543065, -0.0014493241825879648, -0.08055457621130385, -0.07231202911071737, -0.22940008859310684, 0.12303589500390508, 0.1927677033758112, 0.05795062324513906, 0.18879238423762906, -0.2972560574396931, -0.09881917841668272, 0.09356703960882692, 0.10729673697516837, 0.03915240821139566, -0.02015381585455355, -0.2739730970773461, 0.11094782194764964, -0.21717859664931893, -0.14906851500915042, -0.03087678522770775, 0.10471146112982312, -0.04443297692542446, -0.3075768770971175, 0.08228977183271441, 0.03828276773505234, -0.013459243281776535, 0.008799711250346797, -0.20054672998055045, -0.043136408135037996, 0.01978650511692053, 0.08020837877521789, 0.13399556288013942, 0.17913168912817692, -0.1296815253304446, -0.12005540857027316, 0.39902762349309595, -0.10840479967160278, -0.1628079634191918, 0.11869531665960777, -0.2137667846801723, -0.14748704846113406, 0.1500431572625028, 0.2317533490914402, 0.1257259916787132, -0.14078387198166858, 0.16352013729568893, 0.05190413139443363, 0.1212698026672648, 0.048817592119027316, 0.0175569231134181, 0.10641958034629452, 0.19536417554501959, -0.0025834378802442343, 0.01247823815230794, -0.11775113461972696, -0.06277145244630761, -0.46532232290262293, -0.12243475907899697, -0.07959875817699678, 0.08954237946429579, -0.04034381460926319, -0.0862055504132576, 0.35291392420386447, 0.15078927791910246, 0.2587299578309316, -0.014663302885561154, 0.27736054275762934, 0.1400101369343184, -0.038693877306349315, 0.03513133194265437, 0.2815869371085588, 0.15253366343677044, 0.11624772751157911, -0.26574551748465103, 0.008263989664806888, 0.07307749335927054] |
708.0731 | Finding irreducible representation of symmetry operators linearly | The main purpose of this paper is providing a simple method to generate the
matrices of irreducible representations because it is useful to reduce the
computational time of solving the eigenvalue problems. The only information we
need to provide for this method is the group-multiplication table, and the
proof of validity of this method is also shown in this paper.
| math-ph math.MP | the main purpose of this paper is providing a simple method to generate the matrices of irreducible representations because it is useful to reduce the computational time of solving the eigenvalue problems the only information we need to provide for this method is the groupmultiplication table and the proof of validity of this method is also shown in this paper | [['the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'providing', 'a', 'simple', 'method', 'to', 'generate', 'the', 'matrices', 'of', 'irreducible', 'representations', 'because', 'it', 'is', 'useful', 'to', 'reduce', 'the', 'computational', 'time', 'of', 'solving', 'the', 'eigenvalue', 'problems', 'the', 'only', 'information', 'we', 'need', 'to', 'provide', 'for', 'this', 'method', 'is', 'the', 'groupmultiplication', 'table', 'and', 'the', 'proof', 'of', 'validity', 'of', 'this', 'method', 'is', 'also', 'shown', 'in', 'this', 'paper']] | [-0.0637957156888383, 0.01662900994958009, -0.1329288403424671, 0.04746858109483274, -0.1139364557940576, -0.08768780399271744, 0.02735637422351135, 0.3408661404214168, -0.29100941009503806, -0.3039026066297823, 0.13363180271452452, -0.21203018791215905, -0.19535801850133022, 0.2181516020101006, -0.1018930125697437, 0.046614381942456054, 0.10607147863987139, 0.045754387347773505, -0.06237890942503651, -0.28374467281845667, 0.33401845873854424, 0.05958703406533952, 0.2626305426770853, 0.13511615297836016, 0.1252854774248297, -0.032565256154511946, -0.04947471829383808, -0.021331436916301818, -0.07245625842804626, 0.22183905750260516, 0.30276785180035787, 0.1566625150567773, 0.30133471779635773, -0.3685113918351925, -0.15509227787981095, 0.17900970445993214, 0.16387297739511578, 0.1754463115959602, -0.03651143435262522, -0.2303184991292024, 0.157047086545282, -0.14977549968318918, -0.14591751904305766, -0.10102481903287314, -0.002322844908399097, -0.032172864974847344, -0.27731212184338244, 0.05274516897684484, 0.11546016869557453, 0.015637739924556117, -0.04222688454566365, -0.08216119052494987, 0.09837908799744259, 0.14107023652295692, 0.05464217796037763, 0.013285412222257483, 0.01706812750169281, -0.07612273974987378, -0.0538955154055256, 0.4230890733079385, 0.03434744452410456, -0.26209273486066675, 0.15534645079642975, -0.08750408357088217, -0.1518122080271527, 0.10445891578003007, 0.17571280245724433, 0.15348696017290575, -0.1747532726375986, 0.08466718796447267, -0.06701377286749371, 0.16676852008193668, 0.012745299123985282, -0.012559313453355078, 0.12702564194293345, 0.2115582655799591, 0.09256175346672535, 0.17238159521909083, -0.031882996481480234, -0.03727606947581142, -0.3144196161400464, -0.22086145411545444, -0.22977980596834194, -0.0009436008946622832, -0.050796498678441125, -0.16553315892963574, 0.4627690932129399, 0.2409145205826262, 0.1581790373281781, 0.09503908144404828, 0.3510928207818987, 0.16716667987658815, 0.05097818768472742, 0.06658506325556565, 0.17429824062954571, 0.1526900552118481, 0.10501819845857256, -0.19651492213104235, 0.06373888698517013, 0.11766849519779622] |
708.0732 | Constant T-curvature conformal metrics on 4-manifolds with boundary | In this paper we prove that, given a compact four dimensional smooth
Riemannian manifold (M,g) with smooth boundary there exists a metric conformal
to g with constant T-curvature, zero Q-curvature and zero mean curvature under
generic and conformally invariant assumptions. The problem amounts to solving a
fourth order nonlinear elliptic boundary value problem (BVP) with boundary
conditions given by a third-order pseudodifferential operator, and homogeneous
Neumann one. It has a variational structure, but since the corresponding
Euler-Lagrange functional is in general unbounded from below, we look for
saddle points. In order to do this, we use topological arguments and min-max
methods combined with a compactness result for the corresponding BVP.
| math.AP math.DG | in this paper we prove that given a compact four dimensional smooth riemannian manifold mg with smooth boundary there exists a metric conformal to g with constant tcurvature zero qcurvature and zero mean curvature under generic and conformally invariant assumptions the problem amounts to solving a fourth order nonlinear elliptic boundary value problem bvp with boundary conditions given by a thirdorder pseudodifferential operator and homogeneous neumann one it has a variational structure but since the corresponding eulerlagrange functional is in general unbounded from below we look for saddle points in order to do this we use topological arguments and minmax methods combined with a compactness result for the corresponding bvp | [['in', 'this', 'paper', 'we', 'prove', 'that', 'given', 'a', 'compact', 'four', 'dimensional', 'smooth', 'riemannian', 'manifold', 'mg', 'with', 'smooth', 'boundary', 'there', 'exists', 'a', 'metric', 'conformal', 'to', 'g', 'with', 'constant', 'tcurvature', 'zero', 'qcurvature', 'and', 'zero', 'mean', 'curvature', 'under', 'generic', 'and', 'conformally', 'invariant', 'assumptions', 'the', 'problem', 'amounts', 'to', 'solving', 'a', 'fourth', 'order', 'nonlinear', 'elliptic', 'boundary', 'value', 'problem', 'bvp', 'with', 'boundary', 'conditions', 'given', 'by', 'a', 'thirdorder', 'pseudodifferential', 'operator', 'and', 'homogeneous', 'neumann', 'one', 'it', 'has', 'a', 'variational', 'structure', 'but', 'since', 'the', 'corresponding', 'eulerlagrange', 'functional', 'is', 'in', 'general', 'unbounded', 'from', 'below', 'we', 'look', 'for', 'saddle', 'points', 'in', 'order', 'to', 'do', 'this', 'we', 'use', 'topological', 'arguments', 'and', 'minmax', 'methods', 'combined', 'with', 'a', 'compactness', 'result', 'for', 'the', 'corresponding', 'bvp']] | [-0.1540351004911248, 0.056868506955321536, -0.0854700010502711, 0.06956560182152316, -0.1615476422244683, -0.18574940256605094, -0.0312211961559528, 0.3435848345874216, -0.26996627754785796, -0.2259881991596723, 0.14614470355233855, -0.28737335056066515, -0.14517201401970603, 0.126887556433212, -0.12022742805155841, 0.13468232974621722, 0.07894529474645176, 0.10698653841814534, -0.15797013875139368, -0.23221199373418297, 0.4697852043265646, -0.09228034723888744, 0.20903141861781477, 0.07429173386877995, 0.14473771089687942, -0.04370410141207024, 0.053886873969300225, 0.08367918530817736, -0.19596369953816808, 0.11737655936528675, 0.2843405707612295, 0.014677371683699841, 0.2979272053682838, -0.38597032529386605, -0.21894270152022893, 0.16255767225626516, 0.05300875106741759, 0.0494210868481208, -0.036467339133576554, -0.2864567302590744, 0.12976562572135167, -0.06228633307301524, -0.19501536328938196, -0.05768297925295139, 0.006714458369903944, -0.058461663054979664, -0.30078368347233414, 0.09381936363537204, 0.08479718791151589, 0.06440343349664049, -0.14540475959498012, -0.07222257084954022, -0.042150589486118405, 0.03437359360554679, 0.044277787684801624, 0.07673715534831652, 0.04073395679641346, -0.0614176118670333, -0.06079926541159776, 0.3570955259725451, -0.12607227128676393, -0.31652375994758175, 0.13300221628424796, -0.12522116842341016, -0.14493014046245, 0.11870593382574787, 0.12718075460394507, 0.18839623831551183, -0.12743882959422825, 0.17341597748031332, -0.0305791402076879, 0.12468851923265241, 0.11025596364316616, -0.05441017898635685, 0.1083053701303222, 0.08248449265321886, 0.2295991494426165, 0.12210984044411982, 0.00892435665538704, -0.09822019550695338, -0.3712864011187445, -0.15593153280629354, -0.15965432127175683, 0.15615318962796168, -0.13401334307696247, -0.23508885437622667, 0.34242928232997655, 0.07802471262283771, 0.18866660621186548, 0.09934075815095143, 0.23299432018750602, 0.1847853598248383, 0.029512150509584566, 0.14641447259875184, 0.1693580900996246, 0.19404472077307713, 0.10242261221441863, -0.17312208994037726, -0.05307536866854538, 0.18146485906432974] |
708.0733 | Precise measurement of hadronic $\tau$-decays in modes with $\eta$
mesons | We have measured branching fractions of hadronic $\tau$ decays involving an
$\eta$ meson using 485 fb^{-1} of data collected with the Belle detector at the
KEKB asymmetric-energy e^+e^- collider. We obtain the following branching
fractions: ${\cal B}(\tau^-\to K^- \eta \nu_{\tau})=(1.62\pm 0.05 \pm
0.09)\times 10^{-4}$, ${\cal B}(\tau^-\to K^- \pi^0 \eta \nu_{\tau}) =(4.7\pm
1.1 \pm 0.4)\times 10^{-5}$, ${\cal B}(\tau^-\to \pi^- \pi^0 \eta
\nu_{\tau})=(1.39 \pm 0.03 \pm 0.07) \times 10^{-3}$, and ${\cal B}(\tau^-\to
K^{*-} \eta \nu_{\tau})=(1.13\pm 0.19 \pm 0.07)\times 10^{-4}$ improving the
accuracy compared to the best previous measurements by factors of six, eight,
four and four, respectively.
| hep-ex | we have measured branching fractions of hadronic tau decays involving an eta meson using 485 fb1 of data collected with the belle detector at the kekb asymmetricenergy ee collider we obtain the following branching fractions cal btauto k eta nu_tau162pm 005 pm 009times 104 cal btauto k pi0 eta nu_tau 47pm 11 pm 04times 105 cal btauto pi pi0 eta nu_tau139 pm 003 pm 007 times 103 and cal btauto k eta nu_tau113pm 019 pm 007times 104 improving the accuracy compared to the best previous measurements by factors of six eight four and four respectively | [['we', 'have', 'measured', 'branching', 'fractions', 'of', 'hadronic', 'tau', 'decays', 'involving', 'an', 'eta', 'meson', 'using', '485', 'fb1', 'of', 'data', 'collected', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'ee', 'collider', 'we', 'obtain', 'the', 'following', 'branching', 'fractions', 'cal', 'btauto', 'k', 'eta', 'nu_tau162pm', '005', 'pm', '009times', '104', 'cal', 'btauto', 'k', 'pi0', 'eta', 'nu_tau', '47pm', '11', 'pm', '04times', '105', 'cal', 'btauto', 'pi', 'pi0', 'eta', 'nu_tau139', 'pm', '003', 'pm', '007', 'times', '103', 'and', 'cal', 'btauto', 'k', 'eta', 'nu_tau113pm', '019', 'pm', '007times', '104', 'improving', 'the', 'accuracy', 'compared', 'to', 'the', 'best', 'previous', 'measurements', 'by', 'factors', 'of', 'six', 'eight', 'four', 'and', 'four', 'respectively']] | [-0.14508729490942485, 0.2594117628495556, 0.0008512316119816641, -0.014165624454819961, 0.04289789506456936, -0.1458056900123863, 0.126144158113596, 0.25163952511249355, -0.030502505251206458, -0.3117916050326565, -0.06302659576961203, -0.5118356927338502, 0.15916025851670976, 0.14784525170082063, 0.08729454028956674, 0.13779077344351326, 0.06540094909723848, -0.008408341222726132, -0.09463892517226707, -0.18731872491543586, 0.017567538570248238, 0.0034567892510929833, 0.16698039709571394, 0.012211723253130913, -0.016972893295409765, -0.06695931523711846, -0.02634550522223277, -0.15388794686726254, -0.2923982375675974, -0.04019011549889515, 0.25028754070998455, 0.11230534914837968, 0.038446022850542286, -0.22616585457454558, 0.13544950780013335, 0.22122121339603124, 0.18935585861428358, -0.19347739829960198, 0.12675639958267668, -0.40987637602602656, 0.2449736810977692, -0.2601552754488733, -0.03953110800205689, 0.03861388259405351, 0.16937953667998637, -0.21953559330786052, -0.41535239702131116, 0.18865676098705633, -0.1607615150835203, 0.1345577719013976, -0.00309402301931898, -0.4248493772971889, 0.006379319886353029, -0.11963001847186167, 0.05648811908600771, 0.2397039245267439, 0.2230896869087187, -0.029372614838749818, -0.17429592949970948, 0.3952954146687103, -0.10798213275167813, -0.07247583038149416, 0.06771695095559825, -0.2955846064977105, -0.16926280642940622, 0.2997796913892355, 0.23312363665014424, 0.0565386222999381, -0.18762212694096175, 0.1176481698627037, -0.002875738595004963, 0.24937824356248198, 0.13997657130391378, 0.06450484812502628, 0.10448187820198339, 0.1674302739392379, -0.0831539108311636, -0.04185358269023709, -0.17856449106930877, 0.07900378893321866, -0.3717056154248143, -0.09888945213195098, 0.060634256802428434, 0.24537138090185498, -0.17068944670957178, 0.09931157743457057, 0.22919991818945046, -0.009346136388004474, 0.42078680852833, 0.055905415474072746, 0.22113084485855602, 0.10800090770404179, -0.04163145977572245, 0.0919489063069151, 0.3172118059238014, 0.24224311668354936, 0.12661233443118955, -0.3019275333145228, -0.04751888224753835, -0.008136464778900794] |
708.0734 | The Schr\" odinger picture of the Dirac quantum mechanics on spatially
flat Robertson-Walker backgrounds | The Schr\" odinger picture of the Dirac quantum mechanics is defined in
charts with spatially flat Robertson-Walker metrics and Cartesian coordinates.
The main observables of this picture are identified, including the interacting
part of the Hamiltonian operator produced by the minimal coupling with the
gravitational field. It is shown that in this approach new Dirac quantum modes
on de Sitter spacetimes may be found analytically solving the Dirac equation.
| gr-qc math-ph math.MP quant-ph | the schr odinger picture of the dirac quantum mechanics is defined in charts with spatially flat robertsonwalker metrics and cartesian coordinates the main observables of this picture are identified including the interacting part of the hamiltonian operator produced by the minimal coupling with the gravitational field it is shown that in this approach new dirac quantum modes on de sitter spacetimes may be found analytically solving the dirac equation | [['the', 'schr', 'odinger', 'picture', 'of', 'the', 'dirac', 'quantum', 'mechanics', 'is', 'defined', 'in', 'charts', 'with', 'spatially', 'flat', 'robertsonwalker', 'metrics', 'and', 'cartesian', 'coordinates', 'the', 'main', 'observables', 'of', 'this', 'picture', 'are', 'identified', 'including', 'the', 'interacting', 'part', 'of', 'the', 'hamiltonian', 'operator', 'produced', 'by', 'the', 'minimal', 'coupling', 'with', 'the', 'gravitational', 'field', 'it', 'is', 'shown', 'that', 'in', 'this', 'approach', 'new', 'dirac', 'quantum', 'modes', 'on', 'de', 'sitter', 'spacetimes', 'may', 'be', 'found', 'analytically', 'solving', 'the', 'dirac', 'equation']] | [-0.1958487630683416, 0.16314606098593146, -0.10837055673903745, 0.07555561371660535, -0.06802364533254202, -0.1597449710201202, -0.11445614040248851, 0.29313350317027903, -0.20938039460367913, -0.2499177116492385, 0.01289622319281857, -0.29477113383262, -0.17325785992316145, 0.15808189104216686, -0.01311413139320802, 0.05473956556153902, 0.04899013625876303, 0.023834132825604815, -0.08134347757500043, -0.22096801616852105, 0.3998243267769399, 0.05314890458923427, 0.2614421278602727, -0.026720179686916694, 0.1042708499033166, -0.013928065697352091, -0.0027425120166246443, 0.0495245489899231, -0.1297769442752579, 0.05069042279881061, 0.22904543497640154, 0.06895051077953067, 0.17711669293002805, -0.38062487882764445, -0.2403497205156347, 0.06334694744209232, 0.17552373583253095, 0.13882497645428646, -0.029265631160671837, -0.4100838648290306, -0.007345972015805866, -0.12206919414355703, -0.21019344633121206, -0.0605989719160657, -0.029355749762887, -0.06029793261415393, -0.16621510190484318, 0.1127727335129959, 0.021646420941249453, -0.007489485274730385, -0.11158379688993961, -0.05421710568412706, -0.07599015949644904, 0.02774446571677707, 0.03533484689077064, 0.02988519750373519, 0.08023899423120462, -0.06909883019187069, -0.13868226640709286, 0.4331098741757265, -0.06415320250232691, -0.29751376769896865, 0.11732003276330838, -0.16075287194436658, -0.06996519039587482, 0.07817490232865447, 0.09945918573741463, 0.16370096387665556, -0.17799405501210602, 0.2242943644650159, -0.004188748629952686, 0.06677967291055383, 0.08582170124746104, 0.02331437924336912, 0.24924078616111175, 0.07015419717662144, 0.04911228691133252, 0.07658360770100431, 0.027292942017505782, -0.19800429546149392, -0.36810513186282007, -0.17088420083071443, -0.20038759940560313, 0.1077465218461483, -0.13519204636015827, -0.231877248290086, 0.4042454222757099, 0.08624694753687936, 0.11483356252690588, -0.021830759621967656, 0.2390838122346263, 0.1714584497022915, 0.05309720760197851, 0.10534298285652978, 0.30022843952115247, 0.17824844592520833, 0.12716188179531498, -0.23858891727159853, -0.08722550019054957, 0.13273538570122226] |
708.0735 | Wind emission of OB supergiants and the influence of clumping | The influence of the wind to the total continuum of OB supergiants is
discussed. For wind velocity distributions with \beta > 1.0, the wind can have
strong influence to the total continuum emission, even at optical wavelengths.
Comparing the continuum emission of clumped and unclumped winds, especially for
stars with high \beta values, delivers flux differences of up to 30% with
maximum in the near-IR. Continuum observations at these wavelengths are
therefore an ideal tool to discriminate between clumped and unclumped winds of
OB supergiants.
| astro-ph | the influence of the wind to the total continuum of ob supergiants is discussed for wind velocity distributions with beta 10 the wind can have strong influence to the total continuum emission even at optical wavelengths comparing the continuum emission of clumped and unclumped winds especially for stars with high beta values delivers flux differences of up to 30 with maximum in the nearir continuum observations at these wavelengths are therefore an ideal tool to discriminate between clumped and unclumped winds of ob supergiants | [['the', 'influence', 'of', 'the', 'wind', 'to', 'the', 'total', 'continuum', 'of', 'ob', 'supergiants', 'is', 'discussed', 'for', 'wind', 'velocity', 'distributions', 'with', 'beta', '10', 'the', 'wind', 'can', 'have', 'strong', 'influence', 'to', 'the', 'total', 'continuum', 'emission', 'even', 'at', 'optical', 'wavelengths', 'comparing', 'the', 'continuum', 'emission', 'of', 'clumped', 'and', 'unclumped', 'winds', 'especially', 'for', 'stars', 'with', 'high', 'beta', 'values', 'delivers', 'flux', 'differences', 'of', 'up', 'to', '30', 'with', 'maximum', 'in', 'the', 'nearir', 'continuum', 'observations', 'at', 'these', 'wavelengths', 'are', 'therefore', 'an', 'ideal', 'tool', 'to', 'discriminate', 'between', 'clumped', 'and', 'unclumped', 'winds', 'of', 'ob', 'supergiants']] | [-0.021169466992086244, 0.15916353166591893, -0.022174878522665017, 0.11636596313993712, -0.06270001350813323, -0.09087098016226221, 0.053415480377485176, 0.49725615685539587, -0.1781489746645093, -0.3594464344593386, 0.02879821645356493, -0.316882203571454, 0.06970799108967185, 0.19659161518904425, -0.008003177354112267, -0.040966763068094485, 0.0686902401724919, -0.12125453331862532, 0.0014316423482904654, -0.18479381626682534, 0.30253274206604275, 0.10411549861808973, 0.13999035012065655, 0.03000109834552166, 0.03430586727197459, -0.17363406662895745, -0.05731420407426499, -0.01851951109156722, -0.09087767762996789, 0.08814897108823061, 0.1987684574255365, 0.10472688785133262, 0.21615433216738028, -0.36593247247150257, -0.260666905126224, 0.05898359470579419, 0.18074687057967476, -0.02106270192390574, 0.03814688137000693, -0.1958896739164456, 0.0567111279150205, -0.15769589016729565, -0.21327135746313225, 0.05158799395541705, 0.07149806389740358, 0.08800847144309609, -0.30028077332480324, 0.08145958276803694, -0.046781709764174936, 0.13283931133559063, -0.08408078990898848, -0.13636570348448696, -0.10543984444701068, 0.10619616133737422, 0.07946630590318125, 0.04827735410626268, 0.14820152389057467, -0.19250825166818686, -0.006247289567476227, 0.4154913970047519, -0.116323045848514, -0.030901043820666104, 0.2724771232654651, -0.25412116710850524, -0.13101646542504786, 0.23471855607238554, 0.1376459947898097, 0.1033383532028113, -0.12310792791790195, -0.07371199091513907, 0.007468953961506486, 0.18331878073513508, 0.04758856366277628, 0.10158963130033087, 0.32266292479332714, 0.09160777572209813, -0.019231122494342605, 0.13562368452992468, -0.27288270912443596, -0.036052104573519456, -0.2342955953056281, -0.07216679323132016, -0.09298893949016929, 0.09369912937593956, -0.18823628524183905, -0.12630451086997277, 0.2940589157709231, 0.13044244820152276, 0.1500988970732405, 0.03914656831572453, 0.2897923067988207, 0.14390803043664033, 0.05939266560155721, 0.1649191899036634, 0.3696870727553254, 0.22009484072969782, 0.10081960453784891, -0.2688812224161146, 0.05464624015370473, -0.021027044606550287] |
708.0736 | Overview document for: A weight function theory of basis function
interpolants and smoothers | This document is a brief overview of two documents which continue to develop
the weight function theory of basis function smoothers and interpolants. One
document considers the zero order theory and one considers the positive order
theory.
| math.NA | this document is a brief overview of two documents which continue to develop the weight function theory of basis function smoothers and interpolants one document considers the zero order theory and one considers the positive order theory | [['this', 'document', 'is', 'a', 'brief', 'overview', 'of', 'two', 'documents', 'which', 'continue', 'to', 'develop', 'the', 'weight', 'function', 'theory', 'of', 'basis', 'function', 'smoothers', 'and', 'interpolants', 'one', 'document', 'considers', 'the', 'zero', 'order', 'theory', 'and', 'one', 'considers', 'the', 'positive', 'order', 'theory']] | [-0.12875997392158653, 0.06597568434537263, -0.08751101696209328, 0.10532394844434552, -0.13195899083606294, -0.11394945337481142, -0.0032220810267923248, 0.3128450668442088, -0.2949565711456376, -0.2430518688885747, 0.06851359778964841, -0.31680707281103004, -0.17832429525819984, 0.060429693275206794, -0.0513251388344813, 0.05252848721637919, 0.033646684624506415, 0.09090009286395602, -0.11030795148296936, -0.3238017559177368, 0.36030764972186974, 0.032485462523795465, 0.29039684864314824, 0.037304930640636266, 0.07524254628633326, 0.0635821104578271, -0.14423365163541324, -0.04575200730028588, -0.15726035810704972, 0.18052337049330408, 0.3522014615151125, 0.16916497882354903, 0.39992373336005854, -0.4197967518121004, -0.14924934602065668, 0.035624618075687335, 0.08993776092255437, 0.12338344939996966, 0.031255554810569096, -0.1634265712298755, 0.06332702670447729, -0.24790233132001516, -0.13758158205530127, -0.07498425522164719, -0.02617229043027839, -0.0037259924149996527, -0.2693368406412569, 0.016612773836665862, 0.09862995339003769, 0.0802925528322875, -0.034791425927668006, -0.17450829766489365, 0.10659696926941743, 0.07183731617909428, 0.0657243197217483, 0.10448737387432137, 0.06632863275857794, -0.08770609913217658, -0.12710304735731837, 0.3627371328656335, -0.08865333963311403, -0.20059845677098712, 0.13215887175583457, -0.13064203212490758, -0.12124867379866741, 0.05758380847102081, 0.1727141062225643, 0.12354746370299442, -0.1560852798960499, 0.08431768970803132, 0.027441632405326172, 0.19033512473106384, 0.03397329111356993, 0.011038501772123415, 0.21999179360431595, 0.1423536783738716, 0.08089899926169498, 0.1659784078900073, 0.011058350370542423, -0.09891801887519054, -0.34662119440130285, -0.16578961546356613, -0.1692634490192742, -0.02914966584963573, -0.04681488410868632, -0.25402778460065256, 0.4928991258446429, 0.15871482717527732, 0.17685288009611336, 0.06480112744533029, 0.2978774583017504, 0.1459824145595367, 0.006714622364253612, -0.019896790347489958, 0.0797930177603219, 0.14581577420687755, 0.10541644430643804, -0.09867870683051846, 0.03134060754028552, 0.20687176428131154] |
708.0737 | $\infty$-jets of difeomorphisms preserving orbits of vector fields | Let $F$ be a smooth vector field defined in a neighborhood of the origin in
$\mathbb{R}^n$, $F(O)=0$, and let $F_t$ be its local flow. Denote by $E$ the
set of germs of diffeomorphisms $h:\mathbb{R}^n \to \mathbb{R}^n$ preserving
orbits of $F$ and let $E_{\mathrm{id}}^r$ be the identity component of $E$ with
respect to $C^r$-topology. Then every $E_{\mathrm{id}}^{r}$ contains a subset
$Sh$ consisting of mappings of the form $F_{f(x)}(x)$, where $f: \mathbb{R}^n
\to \mathbb{R}$ is a smooth function. It was proved earlier by the author that
if $F$ is a linear vector field, then $Sh=E_{\mathrm{id}}^0$. In this paper we
present a class of vector fields for which $Sh$ and $E_{\mathrm{id}}^1$
coincide on the level of $\infty$-jets. We also establish a parameter rigidity
of linear vector fields and "reduced" Hamiltonian vector fields of real
homogeneous polynomials in two variables.
| math.DS | let f be a smooth vector field defined in a neighborhood of the origin in mathbbrn fo0 and let f_t be its local flow denote by e the set of germs of diffeomorphisms hmathbbrn to mathbbrn preserving orbits of f and let e_mathrmidr be the identity component of e with respect to crtopology then every e_mathrmidr contains a subset sh consisting of mappings of the form f_fxx where f mathbbrn to mathbbr is a smooth function it was proved earlier by the author that if f is a linear vector field then she_mathrmid0 in this paper we present a class of vector fields for which sh and e_mathrmid1 coincide on the level of inftyjets we also establish a parameter rigidity of linear vector fields and reduced hamiltonian vector fields of real homogeneous polynomials in two variables | [['let', 'f', 'be', 'a', 'smooth', 'vector', 'field', 'defined', 'in', 'a', 'neighborhood', 'of', 'the', 'origin', 'in', 'mathbbrn', 'fo0', 'and', 'let', 'f_t', 'be', 'its', 'local', 'flow', 'denote', 'by', 'e', 'the', 'set', 'of', 'germs', 'of', 'diffeomorphisms', 'hmathbbrn', 'to', 'mathbbrn', 'preserving', 'orbits', 'of', 'f', 'and', 'let', 'e_mathrmidr', 'be', 'the', 'identity', 'component', 'of', 'e', 'with', 'respect', 'to', 'crtopology', 'then', 'every', 'e_mathrmidr', 'contains', 'a', 'subset', 'sh', 'consisting', 'of', 'mappings', 'of', 'the', 'form', 'f_fxx', 'where', 'f', 'mathbbrn', 'to', 'mathbbr', 'is', 'a', 'smooth', 'function', 'it', 'was', 'proved', 'earlier', 'by', 'the', 'author', 'that', 'if', 'f', 'is', 'a', 'linear', 'vector', 'field', 'then', 'she_mathrmid0', 'in', 'this', 'paper', 'we', 'present', 'a', 'class', 'of', 'vector', 'fields', 'for', 'which', 'sh', 'and', 'e_mathrmid1', 'coincide', 'on', 'the', 'level', 'of', 'inftyjets', 'we', 'also', 'establish', 'a', 'parameter', 'rigidity', 'of', 'linear', 'vector', 'fields', 'and', 'reduced', 'hamiltonian', 'vector', 'fields', 'of', 'real', 'homogeneous', 'polynomials', 'in', 'two', 'variables']] | [-0.21700867400468551, 0.11264024915980435, -0.05042743230917195, -0.06049817693582194, -0.07911302704118596, -0.10210129160924937, -0.005708612885160097, 0.31732554800895063, -0.3120728726390489, -0.16661412433347514, 0.07152587874944127, -0.26534986179755177, -0.13143683379053955, 0.17639934357486722, -0.057199185692466965, 0.0012941095006089051, 0.000500936261486522, 0.12673846255471685, -0.06097516862408424, -0.2526790285383734, 0.3814763524389082, -0.08491208714743455, 0.15016540500349834, 0.0069805169658547685, 0.13416810419461003, -0.003061604357591664, 0.02379130901066702, 0.042299220712075744, -0.12267466272298985, 0.12919481204779343, 0.25532017853977373, 0.1324229295827564, 0.29116058805524264, -0.3527133972805928, -0.20377243226330885, 0.2358282661180972, 0.11068992451728546, -0.06997824970419815, 0.013091820271418596, -0.2979433946311474, 0.16177724537894475, -0.08449175286778184, -0.1697606800824346, -0.06394019876128466, 0.10949669124796814, 0.058310439384203085, -0.3511295921941714, 0.026994374076891762, 0.11183599068859029, 0.12043674474639833, -0.0903125659340646, -0.08327577532045255, -0.08958136643167557, 0.04133555399571625, 0.004240079546462773, 0.20570063207848105, 0.09005686337473015, -0.06823294953052352, -0.07125364348667768, 0.3819385323702365, -0.13822319967376226, -0.2876655351922869, 0.10509908777235667, -0.20455013638607752, -0.10438152581684348, 0.08998289278369079, 0.18554762969255562, 0.1543312500151553, -0.10298912890991846, 0.2324897399363505, -0.10815277928441344, 0.09714701350836098, 0.07270559873034846, -0.033869313159163375, 0.14369900145589612, 0.049132382349190554, 0.12019405237492896, 0.1376124288897615, -0.016102487010188227, 0.00751339192610494, -0.36183788332828254, -0.1771138253361853, -0.1652938177404824, 0.13338655000011068, -0.07596731163487344, -0.1779754220457502, 0.41468579240338227, 0.05263451263741698, 0.2484610432924977, 0.0757944153616378, 0.2061760068416249, 0.12365312888677316, 0.019092935335988454, 0.09774218207990476, 0.11436962983173918, 0.21469975061274257, -0.017734848320224258, -0.11916839597790047, 0.005643192501810863, 0.12941277594948114] |
708.0738 | 6th and 8th Order Hermite Integrator for N-body Simulations | We present sixth- and eighth-order Hermite integrators for astrophysical
$N$-body simulations, which use the derivatives of accelerations up to second
order ({\it snap}) and third order ({\it crackle}). These schemes do not
require previous values for the corrector, and require only one previous value
to construct the predictor. Thus, they are fairly easy to implemente. The
additional cost of the calculation of the higher order derivatives is not very
high. Even for the eighth-order scheme, the number of floating-point operations
for force calculation is only about two times larger than that for traditional
fourth-order Hermite scheme. The sixth order scheme is better than the
traditional fourth order scheme for most cases. When the required accuracy is
very high, the eighth-order one is the best. These high-order schemes have
several practical advantages. For example, they allow a larger number of
particles to be integrated in parallel than the fourth-order scheme does,
resulting in higher execution efficiency in both general-purpose parallel
computers and GRAPE systems.
| astro-ph | we present sixth and eighthorder hermite integrators for astrophysical nbody simulations which use the derivatives of accelerations up to second order it snap and third order it crackle these schemes do not require previous values for the corrector and require only one previous value to construct the predictor thus they are fairly easy to implemente the additional cost of the calculation of the higher order derivatives is not very high even for the eighthorder scheme the number of floatingpoint operations for force calculation is only about two times larger than that for traditional fourthorder hermite scheme the sixth order scheme is better than the traditional fourth order scheme for most cases when the required accuracy is very high the eighthorder one is the best these highorder schemes have several practical advantages for example they allow a larger number of particles to be integrated in parallel than the fourthorder scheme does resulting in higher execution efficiency in both generalpurpose parallel computers and grape systems | [['we', 'present', 'sixth', 'and', 'eighthorder', 'hermite', 'integrators', 'for', 'astrophysical', 'nbody', 'simulations', 'which', 'use', 'the', 'derivatives', 'of', 'accelerations', 'up', 'to', 'second', 'order', 'it', 'snap', 'and', 'third', 'order', 'it', 'crackle', 'these', 'schemes', 'do', 'not', 'require', 'previous', 'values', 'for', 'the', 'corrector', 'and', 'require', 'only', 'one', 'previous', 'value', 'to', 'construct', 'the', 'predictor', 'thus', 'they', 'are', 'fairly', 'easy', 'to', 'implemente', 'the', 'additional', 'cost', 'of', 'the', 'calculation', 'of', 'the', 'higher', 'order', 'derivatives', 'is', 'not', 'very', 'high', 'even', 'for', 'the', 'eighthorder', 'scheme', 'the', 'number', 'of', 'floatingpoint', 'operations', 'for', 'force', 'calculation', 'is', 'only', 'about', 'two', 'times', 'larger', 'than', 'that', 'for', 'traditional', 'fourthorder', 'hermite', 'scheme', 'the', 'sixth', 'order', 'scheme', 'is', 'better', 'than', 'the', 'traditional', 'fourth', 'order', 'scheme', 'for', 'most', 'cases', 'when', 'the', 'required', 'accuracy', 'is', 'very', 'high', 'the', 'eighthorder', 'one', 'is', 'the', 'best', 'these', 'highorder', 'schemes', 'have', 'several', 'practical', 'advantages', 'for', 'example', 'they', 'allow', 'a', 'larger', 'number', 'of', 'particles', 'to', 'be', 'integrated', 'in', 'parallel', 'than', 'the', 'fourthorder', 'scheme', 'does', 'resulting', 'in', 'higher', 'execution', 'efficiency', 'in', 'both', 'generalpurpose', 'parallel', 'computers', 'and', 'grape', 'systems']] | [-0.12208937336776428, 0.040459665008449205, -0.05476259448754093, 0.07182296800664255, -0.10230580441927983, -0.14208982419508276, 0.0054436348524356, 0.38365594328358266, -0.20374987502453815, -0.3630723931763801, 0.12412279386050497, -0.24234139275354294, -0.06295580438629615, 0.2704212638082417, -0.021848705245833273, 0.09673781888968343, 0.061187870032011184, 0.0374527204698923, -0.09735202958037437, -0.34198234330839905, 0.25120987391536426, 0.07259562901261211, 0.2393892614308036, -0.003247794613779231, 0.10531777036919093, -0.0713143878076454, -0.021208961808516936, -0.024974268230394354, -0.05808068933759058, 0.13399773873703016, 0.2413219783335147, 0.04882902126085082, 0.30973350576645026, -0.41894740606743863, -0.16412605574999814, 0.10780694762007705, 0.13915374628239613, 0.15296977002707887, 0.0020424761449449633, -0.17896007729317148, 0.12458246335832894, -0.21731096995205967, -0.11114347670398698, -0.17254941062173274, -0.020977756648432988, 0.04206820021374894, -0.2835487563225892, 0.07749165416312365, 0.04879874699431946, 0.010821559443567063, 0.017338344925854562, -0.15095202155708354, 0.029410760658307493, 0.09464391702632534, 0.0196439824038488, 0.030460225043252704, 0.045961541220820024, -0.12678203791339934, -0.10808462770712887, 0.44817583795431204, -0.046939279440489735, -0.23242847693289853, 0.1931660146755309, -0.1657592363861258, -0.13862261201534992, 0.1753080554386498, 0.15710790099667535, 0.161224651501794, -0.10551485713213136, 0.017452500196333768, 0.08183447138457758, 0.21844349357019538, 0.07003475716794652, 0.02553847375892937, 0.0967461310892703, 0.11333185476622333, 0.11405839758819437, 0.038755351748243204, -0.06347461786132558, -0.13285253532487967, -0.2997839746173997, -0.18530345426449563, -0.16528529152731222, -0.02566563911958129, -0.12544500897174266, -0.135765165716204, 0.34966938610956344, 0.19396676091003043, 0.10912957698952384, 0.08239675467145384, 0.38045968158753374, 0.15444676535192625, 0.1352299988909733, 0.08752387646368585, 0.24723270327492725, 0.07801587649969602, 0.11679569300424102, -0.18291385082882955, 0.05555299386964894, 0.09809295242606587] |
708.0739 | Segregation in noninteracting binary mixture | Process of stripe formation is analyzed numerically in a binary mixture. The
system consists of particles of two sizes, without any direct mutual
interactions. Overlapping of large particles, surrounded by a dense system of
smaller particles induces indirect entropy driven interactions between large
particles. Under an influence of an external driving force the system orders
and stripes are formed. Mean width of stripes grows logarithmically with time,
in contrast to a typical power law temporal increase observed for driven
interacting lattice gas systems. We describe the mechanism responsible for this
behavior and attribute the logarithmic growth to a random walk of large
particles in a random potential due to the small ones.
| cond-mat.stat-mech cond-mat.soft | process of stripe formation is analyzed numerically in a binary mixture the system consists of particles of two sizes without any direct mutual interactions overlapping of large particles surrounded by a dense system of smaller particles induces indirect entropy driven interactions between large particles under an influence of an external driving force the system orders and stripes are formed mean width of stripes grows logarithmically with time in contrast to a typical power law temporal increase observed for driven interacting lattice gas systems we describe the mechanism responsible for this behavior and attribute the logarithmic growth to a random walk of large particles in a random potential due to the small ones | [['process', 'of', 'stripe', 'formation', 'is', 'analyzed', 'numerically', 'in', 'a', 'binary', 'mixture', 'the', 'system', 'consists', 'of', 'particles', 'of', 'two', 'sizes', 'without', 'any', 'direct', 'mutual', 'interactions', 'overlapping', 'of', 'large', 'particles', 'surrounded', 'by', 'a', 'dense', 'system', 'of', 'smaller', 'particles', 'induces', 'indirect', 'entropy', 'driven', 'interactions', 'between', 'large', 'particles', 'under', 'an', 'influence', 'of', 'an', 'external', 'driving', 'force', 'the', 'system', 'orders', 'and', 'stripes', 'are', 'formed', 'mean', 'width', 'of', 'stripes', 'grows', 'logarithmically', 'with', 'time', 'in', 'contrast', 'to', 'a', 'typical', 'power', 'law', 'temporal', 'increase', 'observed', 'for', 'driven', 'interacting', 'lattice', 'gas', 'systems', 'we', 'describe', 'the', 'mechanism', 'responsible', 'for', 'this', 'behavior', 'and', 'attribute', 'the', 'logarithmic', 'growth', 'to', 'a', 'random', 'walk', 'of', 'large', 'particles', 'in', 'a', 'random', 'potential', 'due', 'to', 'the', 'small', 'ones']] | [-0.21238477745594406, 0.2506516796027946, -0.036137612242392994, 0.043336101253203196, 0.002343824549045946, -0.11947892881081705, 0.026543809705149864, 0.33570622344684253, -0.278625091205218, -0.29982865578494966, 0.02747317999871614, -0.3033402355504222, -0.08820227730237613, 0.1407075429867421, 0.022991217464940355, 0.011491237000362682, 0.01984094259387348, -0.006947888670505823, -0.004370159694060151, -0.21722450763315596, 0.3036889907213793, 0.05488168225357575, 0.2669342808741411, 0.030244528021285078, 0.10924109631118231, 0.02959043077966531, 0.001961177061145593, 0.06882614649241857, -0.10855003340735234, 0.059570451686990315, 0.12143922715248275, -0.014565001495481868, 0.26923720598486917, -0.4457416476382475, -0.20030752036317218, 0.14037376347862715, 0.1828423142412378, 0.11544552485325507, -0.08661536180651248, -0.2738046268277685, 0.053151921816087064, -0.18396624958508515, -0.17981051175073454, -0.007969580129221348, 0.07158660524873994, 0.06872440643876741, -0.2978666361471239, 0.13587777031768514, 0.08501046653171736, 0.05149929016105099, -0.07371299930465673, -0.039137006122993104, -0.0008743890004032957, 0.11052159389613994, 0.04332852439022515, 0.00013283613537039076, 0.19555361845829924, -0.16934123887455957, -0.10103855795958745, 0.3807900543823572, -0.09189471281674091, -0.16742484343870143, 0.25048152171906884, -0.15294766347921854, -0.05652522234595381, 0.21595158420885646, 0.21487826697219653, 0.09830445045508895, -0.1461173963200833, 0.029387435240745878, 0.0011957077741889016, 0.2168097487218412, 0.049738857090622854, 0.038452330398805704, 0.26847426054882817, 0.2123940609328981, 0.043402359854163866, 0.2121877914261339, -0.08257196204587151, -0.16499020407874404, -0.22642998998552294, -0.11610345482144371, -0.20544569370395038, 0.013491436209213654, -0.13467742944080133, -0.18441900544920437, 0.31350351596068193, 0.11479864486526432, 0.2504108911047557, 0.018604462827040282, 0.25291165630499435, 0.11341102704006646, 0.09666850324720144, 0.04444121286048487, 0.2119067178240844, 0.11629503917356487, 0.07823364979620757, -0.2320771651450611, 0.0808460294046459, 0.023097914992831647] |
708.074 | Work and heat probability distributions in out-of-equilibrium systems | We review and discuss the equations governing the distribution of work done
on a system which is driven out of equilibrium by external manipulation, as
well as those governing the entropy flow to a reservoir in a nonequilibrium
system. We take advantage of these equations to investigate the path phase
transition in a manipulated mean-field Ising model and the large-deviation
function for the heat flow in the asymmetric exclusion process with
periodically varying transition probabilities.
| cond-mat.stat-mech | we review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation as well as those governing the entropy flow to a reservoir in a nonequilibrium system we take advantage of these equations to investigate the path phase transition in a manipulated meanfield ising model and the largedeviation function for the heat flow in the asymmetric exclusion process with periodically varying transition probabilities | [['we', 'review', 'and', 'discuss', 'the', 'equations', 'governing', 'the', 'distribution', 'of', 'work', 'done', 'on', 'a', 'system', 'which', 'is', 'driven', 'out', 'of', 'equilibrium', 'by', 'external', 'manipulation', 'as', 'well', 'as', 'those', 'governing', 'the', 'entropy', 'flow', 'to', 'a', 'reservoir', 'in', 'a', 'nonequilibrium', 'system', 'we', 'take', 'advantage', 'of', 'these', 'equations', 'to', 'investigate', 'the', 'path', 'phase', 'transition', 'in', 'a', 'manipulated', 'meanfield', 'ising', 'model', 'and', 'the', 'largedeviation', 'function', 'for', 'the', 'heat', 'flow', 'in', 'the', 'asymmetric', 'exclusion', 'process', 'with', 'periodically', 'varying', 'transition', 'probabilities']] | [-0.14373283608506124, 0.15315178317328293, -0.09660271150370439, 0.033304804513196964, -0.01294901170457403, -0.12489301050702731, 0.0878712248057127, 0.337685875830551, -0.3077103565943738, -0.28014070257544516, 0.08941768216745306, -0.2716533532707642, -0.12835049477716287, 0.15399613129285475, 0.03320051702360312, 0.0969622228294611, 0.00918875222404798, 0.012349364937593539, -0.055860636911044516, -0.14471764490008354, 0.3394907571747899, 0.016894245520234108, 0.2820449639856815, 0.023991412334144115, 0.1228248848579824, 0.01316174264997244, 0.02841923313215375, 0.036093505571285885, -0.16596780883769194, 0.04764922652393579, 0.17972474248924603, 0.033465111988286174, 0.24557515864570936, -0.45217796954015893, -0.2684291505565246, 0.06947838437433045, 0.15379980989110967, 0.15540048104245216, -0.023501166760300597, -0.29400803523138164, -0.016754678916186094, -0.20310946156581242, -0.13469286114598314, -0.0786138516672266, 0.0002460068712631861, 0.07481197878718376, -0.24864009348054728, 0.08443297134091457, 0.09511332309649637, 0.05355945949132244, -0.0789238966225336, -0.05577045229263604, -0.025494940302645167, 0.134711575768888, 0.0030902611972608916, -0.0019112988002598285, 0.19355907516553997, -0.17258077195535104, -0.0917073430493474, 0.37576943781226874, -0.09973389505719145, -0.21519797942290703, 0.15282387145174045, -0.15028549775481223, -0.08961832325905561, 0.10209389240170519, 0.20825966632614534, 0.11805750935027996, -0.22286495802303155, 0.03468959452118724, 0.015123210934301218, 0.10564598123853405, -1.3451299940546354e-05, -0.03451517652720213, 0.23592631011861764, 0.18401154364148775, 0.04379096114076674, 0.2340479991522928, -0.024997878139838576, -0.24595494516814748, -0.30669599035133915, -0.16411709715922673, -0.1882189432779948, 0.09050625687775513, -0.05273969793653426, -0.1653171889297664, 0.3701741170324385, 0.1956965940321485, 0.2196086616317431, 0.010751751290323833, 0.25161013649776576, 0.19394162020025155, -0.0010588378955920538, 0.053828945023318135, 0.2157448451872915, 0.1571104993733267, 0.14417011738444369, -0.281021816500773, 0.0874670715071261, 0.07573688447475434] |
708.0741 | Characterising Web Site Link Structure | The topological structures of the Internet and the Web have received
considerable attention. However, there has been little research on the
topological properties of individual web sites. In this paper, we consider
whether web sites (as opposed to the entire Web) exhibit structural
similarities. To do so, we exhaustively crawled 18 web sites as diverse as
governmental departments, commercial companies and university departments in
different countries. These web sites consisted of as little as a few thousand
pages to millions of pages. Statistical analysis of these 18 sites revealed
that the internal link structure of the web sites are significantly different
when measured with first and second-order topological properties, i.e.
properties based on the connectivity of an individual or a pairs of nodes.
However, examination of a third-order topological property that consider the
connectivity between three nodes that form a triangle, revealed a strong
correspondence across web sites, suggestive of an invariant. Comparison with
the Web, the AS Internet, and a citation network, showed that this third-order
property is not shared across other types of networks. Nor is the property
exhibited in generative network models such as that of Barabasi and Albert.
| cs.IR | the topological structures of the internet and the web have received considerable attention however there has been little research on the topological properties of individual web sites in this paper we consider whether web sites as opposed to the entire web exhibit structural similarities to do so we exhaustively crawled 18 web sites as diverse as governmental departments commercial companies and university departments in different countries these web sites consisted of as little as a few thousand pages to millions of pages statistical analysis of these 18 sites revealed that the internal link structure of the web sites are significantly different when measured with first and secondorder topological properties ie properties based on the connectivity of an individual or a pairs of nodes however examination of a thirdorder topological property that consider the connectivity between three nodes that form a triangle revealed a strong correspondence across web sites suggestive of an invariant comparison with the web the as internet and a citation network showed that this thirdorder property is not shared across other types of networks nor is the property exhibited in generative network models such as that of barabasi and albert | [['the', 'topological', 'structures', 'of', 'the', 'internet', 'and', 'the', 'web', 'have', 'received', 'considerable', 'attention', 'however', 'there', 'has', 'been', 'little', 'research', 'on', 'the', 'topological', 'properties', 'of', 'individual', 'web', 'sites', 'in', 'this', 'paper', 'we', 'consider', 'whether', 'web', 'sites', 'as', 'opposed', 'to', 'the', 'entire', 'web', 'exhibit', 'structural', 'similarities', 'to', 'do', 'so', 'we', 'exhaustively', 'crawled', '18', 'web', 'sites', 'as', 'diverse', 'as', 'governmental', 'departments', 'commercial', 'companies', 'and', 'university', 'departments', 'in', 'different', 'countries', 'these', 'web', 'sites', 'consisted', 'of', 'as', 'little', 'as', 'a', 'few', 'thousand', 'pages', 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708.0742 | The response of self-graviting protostellar discs to slow reduction in
cooling timescale: the fragmentation boundary revisited | A number of previous studies of the fragmentation of self-gravitating
protostellar discs have modeled radiative cooling with a cooling timescale
(t_{cool}) parameterised as a simple multiple (beta_{cool}) of the local
dynamical timescale. Such studies have delineated the `fragmentation boundary'
in terms of a critical value of beta_{cool} (beta_{crit}), where the disc
fragments if beta_{cool} < beta_{crit}. Such an approach however begs the
question of how in reality a disc could ever be assembled with beta_{cool} <
beta_{crit}. Here we adopt the more realistic approach of gradually reducing
beta_{cool}, as might correspond to changes in thermal regime due to secular
changes in the disc density profile. We find that when beta_{cool} is gradually
reduced (on a timescale longer than t_{cool}), the disc is stabilised against
fragmentation, compared with models in which beta_{cool} is reduced rapidly. We
therefore conclude that a disc's ability to remain in a self-regulated,
self-gravitating state (without fragmentation) is partly dependent on its
thermal history, as well as its current cooling rate. Nevertheless, a slow
reduction in t_{cool} appears only to lower the fragmentation boundary by about
a factor two in t_{cool} and thus only permits maximum alpha values
(parameterising the efficiency of angular momentum transfer in the disc) that
are about a factor two higher than determined hitherto. Our results therefore
do not undermine the notion of a fundamental upper limit to the heating rate
that can be delivered by gravitational instabilities before the disc is subject
to fragmentation. An important implication of this work, therefore, is that
self-gravitating discs can enter into the regime of fragmentation via secular
evolution and it is not necessary to invoke rapid (impulsive) events to trigger
fragmentation.
| astro-ph | a number of previous studies of the fragmentation of selfgravitating protostellar discs have modeled radiative cooling with a cooling timescale t_cool parameterised as a simple multiple beta_cool of the local dynamical timescale such studies have delineated the fragmentation boundary in terms of a critical value of beta_cool beta_crit where the disc fragments if beta_cool beta_crit such an approach however begs the question of how in reality a disc could ever be assembled with beta_cool beta_crit here we adopt the more realistic approach of gradually reducing beta_cool as might correspond to changes in thermal regime due to secular changes in the disc density profile we find that when beta_cool is gradually reduced on a timescale longer than t_cool the disc is stabilised against fragmentation compared with models in which beta_cool is reduced rapidly we therefore conclude that a discs ability to remain in a selfregulated selfgravitating state without fragmentation is partly dependent on its thermal history as well as its current cooling rate nevertheless a slow reduction in t_cool appears only to lower the fragmentation boundary by about a factor two in t_cool and thus only permits maximum alpha values parameterising the efficiency of angular momentum transfer in the disc that are about a factor two higher than determined hitherto our results therefore do not undermine the notion of a fundamental upper limit to the heating rate that can be delivered by gravitational instabilities before the disc is subject to fragmentation an important implication of this work therefore is that selfgravitating discs can enter into the regime of fragmentation via secular evolution and it is not necessary to invoke rapid impulsive events to trigger fragmentation | [['a', 'number', 'of', 'previous', 'studies', 'of', 'the', 'fragmentation', 'of', 'selfgravitating', 'protostellar', 'discs', 'have', 'modeled', 'radiative', 'cooling', 'with', 'a', 'cooling', 'timescale', 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708.0743 | Bouncing Negative-Tension Branes | Braneworlds, understood here as double domain wall spacetimes, can be
described in terms of a linear harmonic function, with kinks at the locations
of the boundary branes. In a dynamical setting, there is therefore the risk
that the boundary brane of negative tension, at whose location the value of the
harmonic function is always lowest, can encounter a zero of this harmonic
function, corresponding to the formation of a singularity. We show that for
certain types of brane-bound matter this singularity can be avoided, and the
negative-tension brane can shield the bulk spacetime from the singularity by
bouncing back smoothly before reaching the singularity. In our analysis we
compare the 5- and 4-dimensional descriptions of this phenomenon in order to
determine the validity of the moduli space approximation.
| hep-th | braneworlds understood here as double domain wall spacetimes can be described in terms of a linear harmonic function with kinks at the locations of the boundary branes in a dynamical setting there is therefore the risk that the boundary brane of negative tension at whose location the value of the harmonic function is always lowest can encounter a zero of this harmonic function corresponding to the formation of a singularity we show that for certain types of branebound matter this singularity can be avoided and the negativetension brane can shield the bulk spacetime from the singularity by bouncing back smoothly before reaching the singularity in our analysis we compare the 5 and 4dimensional descriptions of this phenomenon in order to determine the validity of the moduli space approximation | [['braneworlds', 'understood', 'here', 'as', 'double', 'domain', 'wall', 'spacetimes', 'can', 'be', 'described', 'in', 'terms', 'of', 'a', 'linear', 'harmonic', 'function', 'with', 'kinks', 'at', 'the', 'locations', 'of', 'the', 'boundary', 'branes', 'in', 'a', 'dynamical', 'setting', 'there', 'is', 'therefore', 'the', 'risk', 'that', 'the', 'boundary', 'brane', 'of', 'negative', 'tension', 'at', 'whose', 'location', 'the', 'value', 'of', 'the', 'harmonic', 'function', 'is', 'always', 'lowest', 'can', 'encounter', 'a', 'zero', 'of', 'this', 'harmonic', 'function', 'corresponding', 'to', 'the', 'formation', 'of', 'a', 'singularity', 'we', 'show', 'that', 'for', 'certain', 'types', 'of', 'branebound', 'matter', 'this', 'singularity', 'can', 'be', 'avoided', 'and', 'the', 'negativetension', 'brane', 'can', 'shield', 'the', 'bulk', 'spacetime', 'from', 'the', 'singularity', 'by', 'bouncing', 'back', 'smoothly', 'before', 'reaching', 'the', 'singularity', 'in', 'our', 'analysis', 'we', 'compare', 'the', '5', 'and', '4dimensional', 'descriptions', 'of', 'this', 'phenomenon', 'in', 'order', 'to', 'determine', 'the', 'validity', 'of', 'the', 'moduli', 'space', 'approximation']] | [-0.12396018046933395, 0.11539772873300708, -0.12788624829048012, 0.09008320976382371, -0.060710647653084336, -0.11194632540907945, 0.017774949417684198, 0.31028357090237807, -0.26852541911144423, -0.24501514726677748, 0.11683978205436737, -0.2582757366531507, -0.1343528751712879, 0.13319972411162903, -0.06723548012499617, 0.00689906274668843, 0.0015554519949524891, 0.06402683685585035, -0.09086260249172283, -0.2386448105217845, 0.39371051308588956, 0.030016456484312455, 0.23418791423089744, 0.09133336600282882, 0.08094340420830408, -0.04904570903695064, 0.05425474625520819, 0.04252906550271033, -0.15980844260695276, 0.060782318678134536, 0.24500497426163023, 0.05605889422320357, 0.22953334238424195, -0.42072800681816314, -0.23823820289195052, 0.11462011770528602, 0.18619802180956316, 0.12873652327886423, 0.00382763984169459, -0.26591905697769536, 0.09890657450314465, -0.13313572746738206, -0.2055234356534, -0.008129335823468864, -0.012192087819961112, -0.022612987485838922, -0.20012043541165317, 0.09744031681114529, 0.04120537057389711, 0.007993394983785712, -0.08766454581274856, -0.032634285076954, -0.060680382582542346, 0.09717581385937263, 0.08313648648721379, 0.0559325649634033, 0.1340713253516088, -0.14384418310355543, -0.09838716542406932, 0.35912181388616093, -0.09496011329800125, -0.2329586717765549, 0.15718031672423516, -0.20339730715261786, -0.05503685879667737, 0.11532120210096591, 0.11905122387376944, 0.135167253035942, -0.10192810657514831, 0.13041370953750608, 0.01424498800334968, 0.11606117897193996, 0.15419262499497163, -0.027213139708821228, 0.2766405459141403, 0.11878739333322902, 0.06274886168337859, 0.16917313907229467, -0.05382511244837459, -0.09613818124690145, -0.4057739602574184, -0.14703078555148535, -0.17526652392615952, 0.07254100558403, -0.149898899971887, -0.20866241518730724, 0.3873416752642475, 0.07321392261518503, 0.23899151010101471, 0.020325631071908736, 0.2520486009930532, 0.12532154254717973, 0.0562473654886341, 0.034334630775082066, 0.274268267492903, 0.0619474709415295, 0.09098458956509066, -0.2314602549198839, -0.006841868537984143, 0.08310102640218504] |
708.0744 | Prime ideals in the quantum grassmannian | We consider quantum Schubert cells in the quantum grassmannian and give a
cell decomposition of the prime spectrum via the Schubert cells. As a
consequence, we show that all primes are completely prime in the generic case
where the deformation parameter q is not a root of unity. There is a torus H
that acts naturally on the quantum grassmannian and the cell decomposition of
the set of H-primes leads to a parameterisation of the H-spectrum via certain
diagrams on partitions associated to the Schubert cells. Interestingly, the
same parameterisation occurs for the non-negative cells in recent studies
concerning the totally non-negative grassmannian. Finally, we use the cell
decomposition to establish that the quantum grassmannian satisfies normal
separation and catenarity.
| math.QA math.CO math.RA | we consider quantum schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the schubert cells as a consequence we show that all primes are completely prime in the generic case where the deformation parameter q is not a root of unity there is a torus h that acts naturally on the quantum grassmannian and the cell decomposition of the set of hprimes leads to a parameterisation of the hspectrum via certain diagrams on partitions associated to the schubert cells interestingly the same parameterisation occurs for the nonnegative cells in recent studies concerning the totally nonnegative grassmannian finally we use the cell decomposition to establish that the quantum grassmannian satisfies normal separation and catenarity | [['we', 'consider', 'quantum', 'schubert', 'cells', 'in', 'the', 'quantum', 'grassmannian', 'and', 'give', 'a', 'cell', 'decomposition', 'of', 'the', 'prime', 'spectrum', 'via', 'the', 'schubert', 'cells', 'as', 'a', 'consequence', 'we', 'show', 'that', 'all', 'primes', 'are', 'completely', 'prime', 'in', 'the', 'generic', 'case', 'where', 'the', 'deformation', 'parameter', 'q', 'is', 'not', 'a', 'root', 'of', 'unity', 'there', 'is', 'a', 'torus', 'h', 'that', 'acts', 'naturally', 'on', 'the', 'quantum', 'grassmannian', 'and', 'the', 'cell', 'decomposition', 'of', 'the', 'set', 'of', 'hprimes', 'leads', 'to', 'a', 'parameterisation', 'of', 'the', 'hspectrum', 'via', 'certain', 'diagrams', 'on', 'partitions', 'associated', 'to', 'the', 'schubert', 'cells', 'interestingly', 'the', 'same', 'parameterisation', 'occurs', 'for', 'the', 'nonnegative', 'cells', 'in', 'recent', 'studies', 'concerning', 'the', 'totally', 'nonnegative', 'grassmannian', 'finally', 'we', 'use', 'the', 'cell', 'decomposition', 'to', 'establish', 'that', 'the', 'quantum', 'grassmannian', 'satisfies', 'normal', 'separation', 'and', 'catenarity']] | [-0.18023736004036764, 0.11198795235426236, -0.06266805704119575, 0.009591315327086994, -0.06139952004613245, -0.1296180438430307, 0.052064797172847226, 0.28499219205793963, -0.3147419966725993, -0.14308484746221484, 0.06692165055091125, -0.20818862522083545, -0.2103138534242616, 0.17717280570699387, -0.14046161987490074, -0.031096935148953515, 0.06046377122010879, 0.07250447964154873, -0.032182024136389126, -0.2662979807810341, 0.3582507593854636, -0.03494652874470383, 0.25820572563141836, 0.029422376588321517, 0.13219641790208758, 0.002859716086468401, 0.011079501219782508, 0.01038914144884388, -0.15045122241794803, 0.1205940345231788, 0.26055571202877437, 0.13484962413697935, 0.19572964953767338, -0.4100969309503792, -0.14534897012479542, 0.18482901836048907, 0.18292451987997824, 0.05175798834778932, -0.015215157697509443, -0.16113759791517646, 0.11842612704817801, -0.13880092891700127, -0.14786009486185528, -0.05845003267124045, 0.03092147850533243, 0.004006066285230282, -0.28675422798294353, 0.025795616058851865, 0.07902834839148432, 0.07369077959324882, -0.050544971306690896, -0.15999375018604226, -0.0009409897909851885, 0.10813682238735697, -0.03156489065844378, 0.0006456938063522347, 0.1157611515458591, -0.09059104859484594, -0.12262308862091613, 0.3983748883415921, 0.006708454181725832, -0.26115670261763724, 0.12563009804678188, -0.18946200672599697, -0.1389164652855394, 0.12671775612471423, 0.09484480560107642, 0.09682413407390107, -0.024304664263329587, 0.15995365559532376, -0.12810329012885815, 0.06564598734013173, 0.11729866719781225, -0.008236418955591546, 0.16093293665086522, 0.08969517014607661, 0.06622382860724665, 0.14455800716366088, -0.0733986969869936, -0.11463108961666081, -0.35032087307767706, -0.2132544314504421, -0.1563642507882695, 0.13029383854882326, -0.13646043030931046, -0.22306958729980372, 0.38530726622821404, 0.02800781380369508, 0.23520919448229438, 0.06984264166617743, 0.24560395578125946, 0.07306877839657333, 0.09510681352445058, -0.007259516718507815, 0.14610807137454257, 0.23172416523912875, 0.014526335749493427, -0.21959716765926132, 0.007849761080427268, 0.15998665594785405] |
708.0745 | Coulomb corrections to the Delbrueck scattering amplitude at low
energies | In this article, we study the Coulomb corrections to the Delbrueck scattering
amplitude. We consider the limit when the energy of the photon is much less
than the electron mass. The calculations are carried out in the coordinate
representation using the exact relativistic Green function of an electron in a
Coulomb field. The resulting relative corrections are of the order of a few
percent for scattering on for a large charge of the nucleus. We compare the
corrections with the corresponding ones calculated through the dispersion
integral of the pair production cross section and also with the magnetic loop
contribution to the g-factor of a bound electron. The last one is in a good
agreement with our results but the corrections calculated through the
dispersion relation are not.
| hep-ph | in this article we study the coulomb corrections to the delbrueck scattering amplitude we consider the limit when the energy of the photon is much less than the electron mass the calculations are carried out in the coordinate representation using the exact relativistic green function of an electron in a coulomb field the resulting relative corrections are of the order of a few percent for scattering on for a large charge of the nucleus we compare the corrections with the corresponding ones calculated through the dispersion integral of the pair production cross section and also with the magnetic loop contribution to the gfactor of a bound electron the last one is in a good agreement with our results but the corrections calculated through the dispersion relation are not | [['in', 'this', 'article', 'we', 'study', 'the', 'coulomb', 'corrections', 'to', 'the', 'delbrueck', 'scattering', 'amplitude', 'we', 'consider', 'the', 'limit', 'when', 'the', 'energy', 'of', 'the', 'photon', 'is', 'much', 'less', 'than', 'the', 'electron', 'mass', 'the', 'calculations', 'are', 'carried', 'out', 'in', 'the', 'coordinate', 'representation', 'using', 'the', 'exact', 'relativistic', 'green', 'function', 'of', 'an', 'electron', 'in', 'a', 'coulomb', 'field', 'the', 'resulting', 'relative', 'corrections', 'are', 'of', 'the', 'order', 'of', 'a', 'few', 'percent', 'for', 'scattering', 'on', 'for', 'a', 'large', 'charge', 'of', 'the', 'nucleus', 'we', 'compare', 'the', 'corrections', 'with', 'the', 'corresponding', 'ones', 'calculated', 'through', 'the', 'dispersion', 'integral', 'of', 'the', 'pair', 'production', 'cross', 'section', 'and', 'also', 'with', 'the', 'magnetic', 'loop', 'contribution', 'to', 'the', 'gfactor', 'of', 'a', 'bound', 'electron', 'the', 'last', 'one', 'is', 'in', 'a', 'good', 'agreement', 'with', 'our', 'results', 'but', 'the', 'corrections', 'calculated', 'through', 'the', 'dispersion', 'relation', 'are', 'not']] | [-0.10364343752371497, 0.12006309013315786, -0.07965309127575892, 0.11080602666061168, 0.018203202347649494, -0.04069619605070329, 0.029393304175755475, 0.34480780287412927, -0.2026280212594429, -0.2914717623498291, 0.02376944104616996, -0.3536128384730546, -0.06366356540638662, 0.2224533481112303, 0.04734132490193588, 0.011301216036372352, 0.04664206623783684, 0.07477314422794734, -0.11403329007589491, -0.21223219157582207, 0.3431129850723664, 0.08909926153137349, 0.23375842477253173, 0.12415871727449712, 0.06522772887183237, 0.04359718632076692, -0.02497957505102022, 0.026777308692544466, -0.12486860862190952, 0.12426107520059304, 0.1756366737845383, -0.04218485395540483, 0.20926471473285346, -0.40411591579322703, -0.14314843290048884, 0.05924760433117626, 0.14303430389918503, 0.15545080893025442, -0.052830698795332864, -0.22869190842902754, 0.03454928642258892, -0.20423434275289765, -0.1436891122502857, -0.030503241978294682, 0.015626358542249363, 0.018525867590142298, -0.2653445756477595, 0.08528002210891827, -0.015969019843112164, -0.0011089838995417267, -0.06483387038497312, -0.11399622589669889, -0.042034076954223565, 0.09819928923684529, 0.0899067427517366, 0.05005401467678894, 0.1392147607730294, -0.15812597191506939, -0.07595174272137228, 0.4023045409921906, -0.07738252656383793, -0.18819628113124054, 0.10891587769037869, -0.22024470480391756, -0.08179440088679257, 0.18198914593813242, 0.13573658256791532, 0.12454399232046853, -0.15352930909887164, 0.08327929734468853, -0.020973047890947782, 0.15413975519004453, 0.04390807375966688, 0.047319211945648476, 0.1765683591220295, 0.14222128476103535, -0.004687304797698744, 0.10676959630109195, -0.15309449404048792, -0.09486029399522522, -0.34071521056466736, -0.14823506515813278, -0.15133331334436662, 0.04797930178222032, -0.07877574481597094, -0.14388148285843272, 0.3863501576620365, 0.130109994986924, 0.21233133093846845, 0.04677957220201279, 0.31454971752827987, 0.20901474807442355, 0.09832814379115007, 0.06296073795783741, 0.32907383059682616, 0.1726700280505611, 0.07158401385459001, -0.27487560461304383, -0.00023947649424371775, 0.046734899406146724] |
708.0746 | Multiferroic nature of charge-ordered rare earth manganites | Charge-ordered rare earth manganites Nd0.5Ca0.5MnO3, La0.25Nd0.25Ca0.5MnO3,
Pr0.7Ca0.3MnO3 and Pr0.6Ca0.4MnO3 are found to exhibit dielectric constant
anomalies around the charge-ordering or the magnetic transition temperatures.
Magnetic fields have a marked effect on the dielectric properties, indicating
the presence of coupling between the magnetic and electrical order parameters.
The observation of magnetoferroelectricity in these manganites is in accord
with the recent theoretical predictions of Khomskii and coworkers.
| cond-mat.mtrl-sci cond-mat.str-el | chargeordered rare earth manganites nd05ca05mno3 la025nd025ca05mno3 pr07ca03mno3 and pr06ca04mno3 are found to exhibit dielectric constant anomalies around the chargeordering or the magnetic transition temperatures magnetic fields have a marked effect on the dielectric properties indicating the presence of coupling between the magnetic and electrical order parameters the observation of magnetoferroelectricity in these manganites is in accord with the recent theoretical predictions of khomskii and coworkers | [['chargeordered', 'rare', 'earth', 'manganites', 'nd05ca05mno3', 'la025nd025ca05mno3', 'pr07ca03mno3', 'and', 'pr06ca04mno3', 'are', 'found', 'to', 'exhibit', 'dielectric', 'constant', 'anomalies', 'around', 'the', 'chargeordering', 'or', 'the', 'magnetic', 'transition', 'temperatures', 'magnetic', 'fields', 'have', 'a', 'marked', 'effect', 'on', 'the', 'dielectric', 'properties', 'indicating', 'the', 'presence', 'of', 'coupling', 'between', 'the', 'magnetic', 'and', 'electrical', 'order', 'parameters', 'the', 'observation', 'of', 'magnetoferroelectricity', 'in', 'these', 'manganites', 'is', 'in', 'accord', 'with', 'the', 'recent', 'theoretical', 'predictions', 'of', 'khomskii', 'and', 'coworkers']] | [-0.18821331325796295, 0.23703371483038682, 0.005079885624104836, -0.02303771983610741, -0.05060033005524854, -0.09382322806956582, 0.07457627975916276, 0.4143269696562994, -0.2085278330401319, -0.3556362935570908, 0.019357606673185698, -0.35080537505325726, -0.1665151871007974, 0.1624406791696722, 0.0636587389897494, -0.019537828267231338, -0.09259583950653429, 0.01107731061800551, -0.1041638021086358, -0.1826042479484296, 0.23157545310239017, 0.03856578365456863, 0.2755786971509701, 0.09938947467866246, -0.020164707469463836, -0.09489082014493522, 0.09109054804306294, 0.07656290864602464, -0.15259359921252386, 0.004130047501721343, 0.21968675652885292, -0.13309932948990924, 0.16559474106084127, -0.44904894177175936, -0.21761975863368296, 0.01521709568981753, 0.06433111975793956, 0.09114170975250299, -0.10565882289331772, -0.28688360512500904, 0.026961445151904566, -0.05545019701917152, -0.1117912498913461, -0.11534975561195007, -0.00028776583551871974, 0.028187508150919905, -0.2778515755885937, 0.14097488470009115, 0.044802160011833445, 0.1550620265427183, -0.1324048338564815, -0.15135129032748157, -0.05884035808782353, 0.049558153387433926, 0.1594077096603139, 0.064229544443002, 0.16769590072303278, -0.09444537057281761, -0.12032095187908558, 0.34911316827122796, -0.04449346514998889, -0.01652346789592602, 0.20703934236109012, -0.2614044114550362, -0.0861250232813544, 0.1626604842327413, 0.11832279220345568, 0.08723118206577711, -0.09986275399378577, 0.08310503527602242, 0.021475622113641412, 0.14394738253389225, 0.04972546927050733, 0.0907778677408446, 0.30185086536602895, 0.18880559992594798, -0.07944893375512396, 0.10227860155377964, -0.1169892876050206, -0.04448684162964098, -0.1985098155306988, -0.13948207180355446, -0.18403265602337043, 0.03321772639746549, -0.11739666682031563, -0.22221773930016112, 0.3589854586838943, 0.18509260010829226, 0.21270605922508679, -0.07478632539755008, 0.21716108557875038, 0.05303267911687249, 0.07173001439860244, 0.024485841240794934, 0.3443619980797416, 0.22665702507327326, 0.17796824407595835, -0.29577594232882876, 0.14819281179740354, -0.016691788779113623] |
708.0747 | The decomposition of the hypermetric cone into L-domains | The hypermetric cone $\HYP_{n+1}$ is the parameter space of basic Delaunay
polytopes in n-dimensional lattice. The cone $\HYP_{n+1}$ is polyhedral; one
way of seeing this is that modulo image by the covariance map $\HYP_{n+1}$ is a
finite union of L-domains, i.e., of parameter space of full Delaunay
tessellations.
In this paper, we study this partition of the hypermetric cone into
L-domains. In particular, it is proved that the cone $\HYP_{n+1}$ of
hypermetrics on n+1 points contains exactly {1/2}n! principal L-domains. We
give a detailed description of the decomposition of $\HYP_{n+1}$ for n=2,3,4
and a computer result for n=5 (see Table \ref{TableDataHYPn}). Remarkable
properties of the root system $\mathsf{D}_4$ are key for the decomposition of
$\HYP_5$.
| math.CO math.MG | the hypermetric cone hyp_n1 is the parameter space of basic delaunay polytopes in ndimensional lattice the cone hyp_n1 is polyhedral one way of seeing this is that modulo image by the covariance map hyp_n1 is a finite union of ldomains ie of parameter space of full delaunay tessellations in this paper we study this partition of the hypermetric cone into ldomains in particular it is proved that the cone hyp_n1 of hypermetrics on n1 points contains exactly 12n principal ldomains we give a detailed description of the decomposition of hyp_n1 for n234 and a computer result for n5 see table reftabledatahypn remarkable properties of the root system mathsfd_4 are key for the decomposition of hyp_5 | [['the', 'hypermetric', 'cone', 'hyp_n1', 'is', 'the', 'parameter', 'space', 'of', 'basic', 'delaunay', 'polytopes', 'in', 'ndimensional', 'lattice', 'the', 'cone', 'hyp_n1', 'is', 'polyhedral', 'one', 'way', 'of', 'seeing', 'this', 'is', 'that', 'modulo', 'image', 'by', 'the', 'covariance', 'map', 'hyp_n1', 'is', 'a', 'finite', 'union', 'of', 'ldomains', 'ie', 'of', 'parameter', 'space', 'of', 'full', 'delaunay', 'tessellations', 'in', 'this', 'paper', 'we', 'study', 'this', 'partition', 'of', 'the', 'hypermetric', 'cone', 'into', 'ldomains', 'in', 'particular', 'it', 'is', 'proved', 'that', 'the', 'cone', 'hyp_n1', 'of', 'hypermetrics', 'on', 'n1', 'points', 'contains', 'exactly', '12n', 'principal', 'ldomains', 'we', 'give', 'a', 'detailed', 'description', 'of', 'the', 'decomposition', 'of', 'hyp_n1', 'for', 'n234', 'and', 'a', 'computer', 'result', 'for', 'n5', 'see', 'table', 'reftabledatahypn', 'remarkable', 'properties', 'of', 'the', 'root', 'system', 'mathsfd_4', 'are', 'key', 'for', 'the', 'decomposition', 'of', 'hyp_5']] | [-0.14660060157517105, 0.050112190194340656, -0.10558965857074197, 0.032302550075525814, -0.047475245382104604, -0.09753741950511799, 0.013313475273857225, 0.32748241449839305, -0.28951167758038665, -0.20487394441650914, 0.12041433652484557, -0.2798107299188684, -0.1580988641300272, 0.14101698662852868, -0.11141486602199231, 0.02758678814279847, 0.05262032682990788, 0.04536689149140979, -0.08919236989043254, -0.26880512271808193, 0.35074056724053143, -0.01672871587548538, 0.2148132858149308, 0.022673568759013767, 0.11484045899539654, 0.04487012891539572, -0.0021901511271218105, 0.03879934649480025, -0.1547898317352779, 0.13219493557699025, 0.23433553547199285, 0.16698445943101042, 0.19386449074746842, -0.335000216611661, -0.13873744721240655, 0.11814787422398305, 0.1358264285497301, 0.04298340496851389, 0.006339851312597082, -0.2007863227585663, 0.11155085544409563, -0.08354469737969339, -0.166215328537094, -0.06421584176132455, 0.0488929865823593, -0.026500783272370296, -0.23174688203809118, 0.020139121342383857, 0.12609420333423518, 0.09172084116393567, -0.02959144546600458, -0.14960134662916452, -0.06565711691967278, 0.0785544196135431, -0.03183834630388966, 0.06717482309821728, 0.028604256529693624, -0.07578835220374458, -0.09965310069258392, 0.4370418163182746, 0.025226443885393173, -0.21520545262943155, 0.06651440370062899, -0.19045331406648205, -0.15251406137914664, 0.14613061448575795, 0.1264675141418203, 0.14308394074240433, -0.07521071542786169, 0.18962952541551203, -0.16115313039543772, 0.09719148130222623, 0.08846707843726367, -0.012293437936542822, 0.1511114048438945, 0.16273348582451166, 0.12437631927397368, 0.1865830299253243, -0.036873697808394876, -0.08030621397691513, -0.35579605689937516, -0.21214988196568033, -0.20972384143221592, 0.0806924668722786, -0.16536073232821633, -0.21444040437095932, 0.3991533744514787, 0.05179821078283047, 0.1789767261860626, 0.06047933646810374, 0.24877446879067325, 0.056652672497356046, 0.026337773368660628, 0.044940420696678175, 0.14280222132635703, 0.1468921312501022, -0.017185306970662038, -0.14769499863697483, -0.016129410272696987, 0.20977258804487064] |
708.0748 | Collisionless damping of electron waves in non-Maxwellian plasma | In this paper we have criticized the so-called Landau damping theory. We have
analyzed solutions of the standard dispersion equations for longitudinal
(electric) and transversal (electromagnetic and electron) waves in
half-infinite slab of the uniform collisionless plasmas with non-Maxwellian and
Maxwellian-like electron energy distribution functions. One considered the most
typical cases of both the delta-function type distribution function (the plasma
stream with monochromatic electrons) and distribution functions, different from
Maxwellian ones as with a surplus as well as with a shortage in the Maxwellian
distribution function tail. It is shown that there are present for the
considered cases both collisionless damping and also non-damping electron waves
even in the case of non-Maxwellian distribution function.
| physics.plasm-ph | in this paper we have criticized the socalled landau damping theory we have analyzed solutions of the standard dispersion equations for longitudinal electric and transversal electromagnetic and electron waves in halfinfinite slab of the uniform collisionless plasmas with nonmaxwellian and maxwellianlike electron energy distribution functions one considered the most typical cases of both the deltafunction type distribution function the plasma stream with monochromatic electrons and distribution functions different from maxwellian ones as with a surplus as well as with a shortage in the maxwellian distribution function tail it is shown that there are present for the considered cases both collisionless damping and also nondamping electron waves even in the case of nonmaxwellian distribution function | [['in', 'this', 'paper', 'we', 'have', 'criticized', 'the', 'socalled', 'landau', 'damping', 'theory', 'we', 'have', 'analyzed', 'solutions', 'of', 'the', 'standard', 'dispersion', 'equations', 'for', 'longitudinal', 'electric', 'and', 'transversal', 'electromagnetic', 'and', 'electron', 'waves', 'in', 'halfinfinite', 'slab', 'of', 'the', 'uniform', 'collisionless', 'plasmas', 'with', 'nonmaxwellian', 'and', 'maxwellianlike', 'electron', 'energy', 'distribution', 'functions', 'one', 'considered', 'the', 'most', 'typical', 'cases', 'of', 'both', 'the', 'deltafunction', 'type', 'distribution', 'function', 'the', 'plasma', 'stream', 'with', 'monochromatic', 'electrons', 'and', 'distribution', 'functions', 'different', 'from', 'maxwellian', 'ones', 'as', 'with', 'a', 'surplus', 'as', 'well', 'as', 'with', 'a', 'shortage', 'in', 'the', 'maxwellian', 'distribution', 'function', 'tail', 'it', 'is', 'shown', 'that', 'there', 'are', 'present', 'for', 'the', 'considered', 'cases', 'both', 'collisionless', 'damping', 'and', 'also', 'nondamping', 'electron', 'waves', 'even', 'in', 'the', 'case', 'of', 'nonmaxwellian', 'distribution', 'function']] | [-0.09176577423115082, 0.16863560126767607, -0.05993867315466336, 0.132802384582822, -0.00984983900235149, -0.10557346502645758, -0.05185956863907019, 0.3633032928041199, -0.2190916655848636, -0.274275769808395, 0.006556740832278146, -0.3096555005023746, -0.06512345937325766, 0.19637905614728338, 0.05732926981229531, 0.0957093895300651, 0.006889531446065297, -0.030932306708245164, -0.001334103187872914, -0.14952205054118836, 0.3293390463253385, 0.08440743343447123, 0.295576625805871, 0.03989714776623275, 0.07952779099312529, 0.03724032303669669, 0.04143151255942812, 0.02056985892369611, -0.10902018888041391, -0.006939666878775154, 0.20139087932674507, 0.04624482624951685, 0.26168177638758433, -0.45465011409434836, -0.255140371579297, 0.04394873972622711, 0.18678262869402634, 0.07903596522744026, -0.08888473129716881, -0.20640655985845482, -0.0034521353316673063, -0.21243384769676546, -0.18834085845216914, -0.0031074821671242254, 0.046402675385603255, 0.14511167717149906, -0.27997151454563435, 0.15160658872015406, 0.06550173946807422, 0.005570429842919111, -0.11684303701928768, -0.14369409854866957, -0.02272161321608317, 0.031512894769803734, 0.14393788644341393, 0.02360494545530201, 0.11224169539810534, -0.1611787834257835, -0.03953968184558969, 0.39946515297745927, -0.1008953700320011, -0.2587623689977223, 0.18949619733744807, -0.24970420507158628, -0.05970669838420132, 0.13469277899058765, 0.12873321419107941, 0.10426466210271444, -0.14265438065488348, 0.08208301447060269, -0.0831904611274551, 0.07109390202452216, 0.13212048229883963, 0.04866408410874244, 0.20461795352432027, 0.08108072956460283, 0.03459215774650179, 0.12133445015704063, -0.10560624509143006, -0.05515387182516095, -0.3019814822482499, -0.11161864454155429, -0.1859598045662176, 0.03888789749001725, -0.03688301294740788, -0.24413185335186172, 0.40143235934604155, 0.1100546116064371, 0.13788571552651233, 0.005646308802329658, 0.30223227975269157, 0.2354537687936324, -0.0035651428461597676, 0.13512664395915508, 0.22651970535189958, 0.16980588420400428, 0.11872859995223974, -0.17386208397638575, 0.04330527001436342, 7.95503351183837e-05] |
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