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801.1373
Christian Iniotakis
C. Iniotakis, S. Fujimoto, and M. Sigrist
Fractional flux quanta at intrinsic metallic interfaces of noncentrosymmetric superconductors
4 pages, 3 figures
J. Phys. Soc. Jpn. 77, 083701 (2008)
10.1143/JPSJ.77.083701
null
cond-mat.supr-con
null
We examine intrinsic interfaces separating crystalline twin domains of opposite spin-orbit coupling in a noncentrosymmetric superconductor such as CePt3Si. At these interfaces, low-energy Andreev bound states occur as a consequence of parity-mixed Cooper pairing, and a superconducting phase which violates time reversal symmetry can be realized. This provides an environment allowing flux lines with fractional flux quanta to be formed at the interface. Their presence could have strong implications on the flux creep behavior in such superconductors.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:13:57 GMT" } ]
2008-07-25T00:00:00
[ [ "Iniotakis", "C.", "" ], [ "Fujimoto", "S.", "" ], [ "Sigrist", "M.", "" ] ]
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801.1374
Byung-Yoon Park
Byung-Yoon Park, Mannque Rho, Vicente Vento
The Role of the Dilaton in Dense Skyrmion Matter
null
Nucl.Phys.A807:28-37,2008
10.1016/j.nuclphysa.2008.03.015
null
hep-ph nucl-th
null
In this note, we report on a remarkable and surprising interplay between the omega meson and the dilaton chi in the structure of a single skyrmion as well as in the phase structure of dense skyrmion matter which may have a potentially important consequence on the properties of compact stars. In our continuing effort to understand hadronic matter at high density, we have developed a unified field theoretic formalism for dense skyrmion matter using a single Lagrangian to describe simultaneously both matter and meson fluctuations and studied in-medium properties of hadrons. The effective theory used is the Skyrme model Lagrangian gauged with the vector mesons rho and omega, implemented with the dilaton field that describes the spontaneously broken scale symmetry of QCD, in a form consistent with the symmetries of QCD and our expectations regarding the high density limit. We analyze the restoration of scale invariance and chiral symmetry as the density of the system increases. In order to preserve the restoration of scale symmetry and chiral symmetry, signalled in our case by the vanishing of the expectation value of the dilaton, and to be consistent with the vector manifestation of hidden local symmetry, a density dependent omega coupling is introduced. We uncover the crucial role played by both the dilaton and the omega meson in the phase structure of dense medium and discover how two different phase transition regimes arise as we dial the dilaton mass.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:06:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Park", "Byung-Yoon", "" ], [ "Rho", "Mannque", "" ], [ "Vento", "Vicente", "" ] ]
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801.1375
Francisco Lobo
Christian G. Boehmer, Tiberiu Harko, Francisco S.N. Lobo
Solar system tests of brane world models
14 pages, to appear in Classical and Quantum Gravity. V2, minor corrections and references added
Class.Quant.Grav.25:045015,2008
10.1088/0264-9381/25/4/045015
null
gr-qc astro-ph hep-th
null
The classical tests of general relativity (perihelion precession, deflection of light, and the radar echo delay) are considered for the Dadhich, Maartens, Papadopoulos and Rezania (DMPR) solution of the spherically symmetric static vacuum field equations in brane world models. For this solution the metric in the vacuum exterior to a brane world star is similar to the Reissner-Nordstrom form of classical general relativity, with the role of the charge played by the tidal effects arising from projections of the fifth dimension. The existing observational solar system data on the perihelion shift of Mercury, on the light bending around the Sun (obtained using long-baseline radio interferometry), and ranging to Mars using the Viking lander, constrain the numerical values of the bulk tidal parameter and of the brane tension.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:04:20 GMT" }, { "version": "v2", "created": "Tue, 5 Feb 2008 15:37:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Boehmer", "Christian G.", "" ], [ "Harko", "Tiberiu", "" ], [ "Lobo", "Francisco S. N.", "" ] ]
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801.1376
Carsten Schubert
Daniel Lenz, Carsten Schubert and Peter Stollmann
Eigenfunction expansion for Schrodinger operators on metric graphs
11 pages, submitted to Jounal of Integral Equations and Operator Theory
null
null
null
math-ph math.MP
null
We construct an expansion in generalized eigenfunctions for Schrodinger operators on metric graphs. We require rather minimal assumptions concerning the graph structure and the boundary conditions at the vertices.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:18:42 GMT" } ]
2008-01-10T00:00:00
[ [ "Lenz", "Daniel", "" ], [ "Schubert", "Carsten", "" ], [ "Stollmann", "Peter", "" ] ]
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801.1377
Shankar Prasad Das
Madhu Priya and Shankar P. Das
Fragility and elastic behavior of a supercooled liquid
20 pages, 9 figures (.eps)
Physical Review E 76, 061501 (2007)
10.1103/PhysRevE.76.061501
null
cond-mat.soft
null
A model for the supercooled liquid is considered by taking into account its solid like properties. We focus on how the long time dynamics is affected due to the coupling between the slowly decaying density fluctuations and the local displacement variables in the frozen liquid. Results from our model agree with the recent observation of Novikov and Sokolov [Nature (London) {\bf 431}, 961 (2004)] that the fragility index $m$ of a glass forming material is linearly related to the corresponding ratio $K/G$ of the bulk and the shear moduli.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:10:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Priya", "Madhu", "" ], [ "Das", "Shankar P.", "" ] ]
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801.1378
Andr\'e Eckardt
Andre Eckardt and Martin Holthaus
Dressed matter waves
9 pages, 4 figures, to be published in: J. Phys.: Conference Series
J. Phys.: Conf. Ser. 99, 012007 (2008)
10.1088/1742-6596/99/1/012007
null
cond-mat.other
null
We suggest to view ultracold atoms in a time-periodically shifted optical lattice as a "dressed matter wave", analogous to a dressed atom in an electromagnetic field. A possible effect lending support to this concept is a transition of ultracold bosonic atoms from a superfluid to a Mott-insulating state in response to appropriate "dressing" achieved through time-periodic lattice modulation. In order to observe this effect in a laboratory experiment, one has to identify conditions allowing for effectively adiabatic motion of a many-body Floquet state.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:25:32 GMT" } ]
2008-03-25T00:00:00
[ [ "Eckardt", "Andre", "" ], [ "Holthaus", "Martin", "" ] ]
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801.1379
Sixia Yu
Ying Dong, Xiuhao Deng, Mingming Jiang, Qing Chen, and Sixia Yu
Quantum Error-Correcting Codes with Preexisting Protected Qubits
4 pages 2 figures
null
null
null
quant-ph
null
We provide a systematic way of constructing entanglement-assisted quantum error-correcting codes via graph states in the scenario of preexisting perfectly protected qubits. It turns out that the preexisting entanglement can help beat the quantum Hamming bound and can enhance (not only behave as an assistance) the performance of the quantum error correction. Furthermore we generalize the error models to the case of not-so-perfectly-protected qubits and introduce the quantity infidelity as a figure of merit and show that our code outperforms also the ordinary quantum error-correcting codes.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:30:09 GMT" } ]
2008-01-10T00:00:00
[ [ "Dong", "Ying", "" ], [ "Deng", "Xiuhao", "" ], [ "Jiang", "Mingming", "" ], [ "Chen", "Qing", "" ], [ "Yu", "Sixia", "" ] ]
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801.138
Krzysztof Rogacki
K. Rogacki, G. Schuck, Z. Bukowski, N.D. Zhigadlo, and J. Karpinski
Structural and Superconducting Properties of RbOs2O6 Single Crystals
20 pages, 8 figures, 3 tables
Phys. Rev. B 77, 134514 (2008)
10.1103/PhysRevB.77.134514
null
cond-mat.supr-con cond-mat.str-el
null
Single crystals of RbOs2O6 have been grown from Rb2O and Os in sealed quartz ampoules. The crystal structure has been identified at room temperature as cubic with the lattice constant a = 10.1242(12) A. The anisotropy of the tetrahedral and octahedral networks is lower and the displacement parameters of alkali metal atoms are smaller than for KOs2O6, so the "rattling" of the alkali atoms in RbOs2O6 is less pronounced. Superconducting properties of RbOs2O6 in the mixed state have been well described within the London approach and the Ginzburg-Landau parameter kappa(0) = 31 has been derived from the reversible magnetization. This parameter is field dependent and changes at low temperatures from kappa = 22 (low fields) to kappa = 31 at H_{c2}. The thermodynamic critical field H_{c}(0) = 1.3 kOe and the superconducting gap 2delta/k_{B}T_{c} = 3.2 have been estimated. These results together with slightly different H_{c2}(T) dependence obtained for crystals and polycrystalline RbOs2O6 proof evidently that this compound is a weak-coupling BCS-type superconductor close to the dirty limit.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:33:23 GMT" }, { "version": "v2", "created": "Mon, 28 Apr 2008 12:44:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Rogacki", "K.", "" ], [ "Schuck", "G.", "" ], [ "Bukowski", "Z.", "" ], [ "Zhigadlo", "N. D.", "" ], [ "Karpinski", "J.", "" ] ]
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801.1381
Alessia Annibale
Alessia Annibale, Peter Sollich
Fluctuation-dissipation relations in critical coarsening: crossover from unmagnetized to magnetized initial states
34 pages, 10 figures
null
10.1088/1751-8113/41/13/135001
null
cond-mat.dis-nn
null
We study the non-equilibrium dynamics of the spherical ferromagnet quenched to its critical temperature, as a function of the magnetization of the initial state. The two limits of unmagnetized and fully magnetized initial conditions can be understood as corresponding to times that are respectively much shorter and much longer than a magnetization timescale, as in a recent field theoretical analysis of the $n$-vector model. We calculate exactly the crossover functions interpolating between these two limits, for the magnetization correlator and response and the resulting fluctuation-dissipation ratio (FDR). For $d>4$ our results match those obtained recently from a Gaussian field theory. For $d<4$, non-Gaussian fuctuations arising from the spherical constraint need to be accounted for. We extend our framework from the fully magnetized case to achieve this, providing an exact solution for the relevant integral kernel. The resulting crossover behaviour is very rich, with the asymptotic FDR $X^\infty$ depending non-monotonically on the scaled age of the system. This is traced back to non-monotonicities of the two-time correlator, themselves the consequence of large magnetization fluctuations on the crossover timescale. We correct a trivial error in our earlier calculation for fully magnetized initial states; the corrected FDR is {\em consistent} with renormalization group expansions to first order in $4-d$ for the longitudinal fluctuations of the O(n) model in the limit $n\to\infty$.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:36:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Annibale", "Alessia", "" ], [ "Sollich", "Peter", "" ] ]
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801.1382
Takuma Akimoto
Takuma Akimoto
Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System
8 pages, 8 figures
J. Stat. Phys. 132 (2008) 171-186
10.1007/s10955-008-9544-9
null
cond-mat.stat-mech
null
Limit theorems for the time average of some observation functions in an infinite measure dynamical system are studied. It is known that intermittent phenomena, such as the Rayleigh-Benard convection and Belousov-Zhabotinsky reaction, are described by infinite measure dynamical systems.We show that the time average of the observation function which is not the $L^1(m)$ function, whose average with respect to the invariant measure $m$ is finite, converges to the generalized arcsine distribution. This result leads to the novel view that the correlation function is intrinsically random and does not decay. Moreover, it is also numerically shown that the time average of the observation function converges to the stable distribution when the observation function has the infinite mean.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:46:01 GMT" } ]
2010-05-14T00:00:00
[ [ "Akimoto", "Takuma", "" ] ]
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801.1383
Thomas Jordan
Anders Johansson, Thomas Jordan, Anders \"Oberg and Mark Pollicott
Multifractal analysis of non-uniformly hyperbolic systems
19 pages. We have corrected some typographical errors and clarified a few points
null
null
null
math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We prove a multifractal formalism for Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville--Pomeau map.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 09:58:08 GMT" }, { "version": "v2", "created": "Tue, 23 Sep 2008 13:40:15 GMT" } ]
2008-09-23T00:00:00
[ [ "Johansson", "Anders", "" ], [ "Jordan", "Thomas", "" ], [ "Öberg", "Anders", "" ], [ "Pollicott", "Mark", "" ] ]
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801.1384
Vitaly Svetovoy
V. B. Svetovoy, P. J. van Zwol, G. Palasantzas, and J. Th. M. De Hosson
Optical properties of gold films and the Casimir force
18 pages, 14 figures, accepted for publication in Phys. Rev. B
Phys. Rev. B 77, 035439 (2008)
10.1103/PhysRevB.77.035439
null
cond-mat.other quant-ph
null
Precise optical properties of metals are very important for accurate prediction of the Casimir force acting between two metallic plates. Therefore we measured ellipsometrically the optical responses of Au films in a wide range of wavelengths from 0.14 mum to 33 mum. The films at various thickness were deposited at different conditions on silicon or mica substrates. Considerable variation of the frequency dependent dielectric function from sample to sample was found. Detailed analysis of the dielectric functions was performed to check the Kramers-Kronig consistency, and extract the Drude parameters of the films. It was found that the plasma frequency varies in the range from 6.8 eV to 8.4 eV. It is suggested that this variation is related with the film density. X-ray reflectivity measurements support qualitatively this conclusion. The Casimir force is evaluated for the dielectric functions corresponding to our samples, and for that typically used in the precise prediction of the force. The force for our films was found to be 5-14% smaller at a distance of 100 nm between the plates. Noise in the optical data is responsible for the force variation within 1%. It is concluded that prediction of the Casimir force between metals with a precision better than 10% must be based on the material optical response measured from visible to mid-infrared range.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:09:24 GMT" } ]
2008-02-06T00:00:00
[ [ "Svetovoy", "V. B.", "" ], [ "van Zwol", "P. J.", "" ], [ "Palasantzas", "G.", "" ], [ "De Hosson", "J. Th. M.", "" ] ]
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801.1385
Alessandro Pastore
A. Pastore, F. Barranco, R. A. Broglia and E. Vigezzi
Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions
null
Phys.Rev.C78:024315,2008
10.1103/PhysRevC.78.024315
null
nucl-th
null
The bare nucleon-nucleon interaction is essential for the production of pair correlations in nuclei, but an important contribution also arises from the induced interaction resulting from the exchange of collective vibrations between nucleons moving in time reversal states close to the Fermi energy. The pairing field resulting from the summed interaction is strongly peaked at the nuclear surface. It is possible to reproduce the detailed spatial dependence of this field using a Local Density Approximation (LDA) and a contact interaction, with parameters which are quite different from those commonly used in more phenomenological approaches.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:11:09 GMT" }, { "version": "v2", "created": "Wed, 4 Jun 2008 07:42:04 GMT" } ]
2008-11-26T00:00:00
[ [ "Pastore", "A.", "" ], [ "Barranco", "F.", "" ], [ "Broglia", "R. A.", "" ], [ "Vigezzi", "E.", "" ] ]
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801.1386
Ralf Blossey
Ralf Blossey, Helmut Schiessel
Kinetic proofreading of gene activation by chromatin remodeling
8 pages, 2 Figures; application added
null
10.2976/1.2909080
null
q-bio.MN q-bio.BM
null
Gene activation in eukaryotes involves the concerted action of histone tail modifiers, chromatin remodellers and transcription factors, whose precise coordination is currently unknown. We demonstrate that the experimentally observed interactions of the molecules are in accord with a kinetic proofreading scheme. Our finding could provide a basis for the development of quantitative models for gene regulation in eukaryotes based on the combinatorical interactions of chromatin modifiers.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:13:08 GMT" }, { "version": "v2", "created": "Mon, 28 Apr 2008 15:45:17 GMT" } ]
2008-04-28T00:00:00
[ [ "Blossey", "Ralf", "" ], [ "Schiessel", "Helmut", "" ] ]
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801.1387
Abdulla Rakhimov
Abdulla Rakhimov, Chul Koo Kim, Sang-Hoon Kim, and Jae Hyung Yee
Stability of the homogeneous Bose-Einstein condensate at large gas parameter
9 pages, 3 figures, Revtex
null
10.1103/PhysRevA.77.033626
null
cond-mat.stat-mech nucl-th physics.atom-ph
null
The properties of the uniform Bose gas is studied within the optimized variational perturbation theory (Gaussian approximation) in a self-consistent way. It is shown that the atomic BEC with a repulsive interaction becomes unstable when the gas parameter gamma=rho a^3 exceeds a critical value gamma_{crit} ~ 0.01. The quantum corrections beyond the Bogoliubov-Popov approximation to the energy density, chemical potential and pressure in powers of gamma expansions are presented.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:23:50 GMT" }, { "version": "v2", "created": "Sat, 12 Jan 2008 13:27:01 GMT" } ]
2009-11-13T00:00:00
[ [ "Rakhimov", "Abdulla", "" ], [ "Kim", "Chul Koo", "" ], [ "Kim", "Sang-Hoon", "" ], [ "Yee", "Jae Hyung", "" ] ]
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801.1388
Arup Banerjee
Arup Banerjee and Jochen Autschbach
Time dependent density functional theory calculation of van der Waals coefficient C$_{6}$ of alkali-metal atoms Li, Na, K, alkali dimers Li$_{2}$, Na$_{2}$, K$_{2}$ and sodium clusters Na$_{n}$
14 pages of text and 4 figures
null
10.1103/PhysRevA.78.032704
null
physics.atm-clus physics.chem-ph
null
In this paper we employ all-electron time dependent density functional theory (TDDFT) to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of alkali-metal atoms Li, Na, K, alkali-metal atom dimers Li$_{2}$, Na$_{2}$, K$_{2}$ and sodium clusters containing even number of atoms ranging from 2 to 20 atoms. The dispersion coefficients are obtained via Casimir-Polder expression which relates it to the frequency dependent linear polarizabilty at imaginary frequencies. The frequency dependent polarizabilities are calculated by employing TDDFT--based complete sum-over-states expressions for the atoms, and direct TDDFT linear response theory for the closed shell dimers and clusters.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:26:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Banerjee", "Arup", "" ], [ "Autschbach", "Jochen", "" ] ]
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801.1389
Tao Zhou
Tao Zhou, Xiaopu Han, and Binghong Wang
Towards the understanding of human dynamics
28 pages, 16 figures
pp. 207-233, in M. Burguete and L. Lam (eds.), Science Matters: Humanities as Complex Systems, World Scientific Publishing, Singapore 2008.
null
null
physics.soc-ph physics.data-an
null
Quantitative understanding of human behaviors provides elementary comprehension of the complexity of many human-initiated systems. A basic assumption embedded in the previous analyses on human dynamics is that its temporal statistics are uniform and stationary, which can be properly described by a Poisson process. Accordingly, the interevent time distribution should have an exponential tail. However, recently, this assumption is challenged by the extensive evidence, ranging from communication to entertainment and work patterns, that the human dynamics obeys non-Poisson statistics with heavy-tailed interevent time distribution. This review article summarizes the recent empirical explorations on human activity pattern, as well as the corresponding theoretical models for both task-driven and interest-driven systems. Finally, we outline some future open questions in the studies of the statistical mechanics of human dynamics.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:33:45 GMT" } ]
2009-07-31T00:00:00
[ [ "Zhou", "Tao", "" ], [ "Han", "Xiaopu", "" ], [ "Wang", "Binghong", "" ] ]
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801.139
Matteo Silimbani
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
The Eulerian distribution on self evacuated involutions
18 pages
null
null
null
math.CO
null
We present an extensive study of the Eulerian distribution on the set of self evacuated involutions, namely, involutions corresponding to standard Young tableaux that are fixed under the Sch$\ddot{\textrm{u}}$tzenberger map. We find some combinatorial properties for the generating polynomial of such distribution, together with an explicit formula for its coefficients. Afterwards, we carry out an analogous study for the subset of self evacuated involutions without fixed points.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:39:46 GMT" } ]
2008-01-10T00:00:00
[ [ "Barnabei", "Marilena", "" ], [ "Bonetti", "Flavio", "" ], [ "Silimbani", "Matteo", "" ] ]
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801.1391
Kozlov Gleb Gennadievich
G. G. Kozlov
The limiting nuclear polarization in a quantum dot under optical electron-spin orientation and applicability of the box-model of the electron-nuclear dynamics
no figures
null
null
null
cond-mat.mes-hall
null
For the model Hamiltonian describing the electron-nuclear dynamics of a quantum dot, we obtained an exact expression for the limiting nuclear polarization as a function of the number of groups of equivalent nuclei. It is shown that the refinement of the model Hamiltonian by increasing the number of the groups results in a slow growth of the limiting nuclear polarization. This allowed us to put forward arguments in favor of applicability of the box-model (with all the nuclei being equivalent) for description of the electron-nuclear spin dynamics within the time intervals of around hundreds of periods of the optical orientation.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:43:00 GMT" } ]
2008-01-10T00:00:00
[ [ "Kozlov", "G. G.", "" ] ]
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801.1392
Masatoshi Nishikawa
Masatoshi Nishikawa, Hiroaki Takagi, Atsuko H. Iwane, Toshio Yanagida
Fluctuation analysis of mechanochemical coupling depending on the type of bio-molecular motor
null
null
10.1103/PhysRevLett.101.128103
null
q-bio.SC
null
Mechanochemical coupling was studied for two different types of myosin motors in cells: myosin V, which carries cargo over long distances by as a single molecule; and myosin II, which generates a contracting force in cooperation with other myosin II molecules. Both mean and variance of myosin V velocity at various [ATP] obeyed Michaelis-Menten mechanics, consistent with tight mechanochemical coupling. Myosin II, working in an ensemble, however, was explained by a loose coupling mechanism, generating variable step sizes depending on the ATP concentration and realizing a much larger step (200 nm) per ATP hydrolysis than myosin V through its cooperative nature at zero load. These different mechanics are ideal for the respective myosin's physiological functions.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:00:37 GMT" } ]
2009-11-13T00:00:00
[ [ "Nishikawa", "Masatoshi", "" ], [ "Takagi", "Hiroaki", "" ], [ "Iwane", "Atsuko H.", "" ], [ "Yanagida", "Toshio", "" ] ]
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801.1393
Stefano Baroni
Dario Rocca, Ralph Gebauer, Yousef Saad, and Stefano Baroni
Turbo charging time-dependent density-functional theory with Lanczos chains
15 pages, 7 figures, to be pdflatex + bibtex
null
10.1063/1.2899649
null
cond-mat.mtrl-sci
null
We introduce a new implementation of time-dependent density-functional theory which allows the \emph{entire} spectrum of a molecule or extended system to be computed with a numerical effort comparable to that of a \emph{single} standard ground-state calculation. This method is particularly well suited for large systems and/or large basis sets, such as plane waves or real-space grids. By using a super-operator formulation of linearized time-dependent density-functional theory, we first represent the dynamical polarizability of an interacting-electron system as an off-diagonal matrix element of the resolvent of the Liouvillian super-operator. One-electron operators and density matrices are treated using a representation borrowed from time-independent density-functional perturbation theory, which permits to avoid the calculation of unoccupied Kohn-Sham orbitals. The resolvent of the Liouvillian is evaluated through a newly developed algorithm based on the non-symmetric Lanczos method. Each step of the Lanczos recursion essentially requires twice as many operations as a single step of the iterative diagonalization of the unperturbed Kohn-Sham Hamiltonian. Suitable extrapolation of the Lanczos coefficients allows for a dramatic reduction of the number of Lanczos steps necessary to obtain well converged spectra, bringing such number down to hundreds (or a few thousands, at worst) in typical plane-wave pseudopotential applications. The resulting numerical workload is only a few times larger than that needed by a ground-state Kohn-Sham calculation for a same system. Our method is demonstrated with the calculation of the spectra of benzene, C$_{60}$ fullerene, and of chlorofyll a.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:50:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Rocca", "Dario", "" ], [ "Gebauer", "Ralph", "" ], [ "Saad", "Yousef", "" ], [ "Baroni", "Stefano", "" ] ]
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801.1394
Antonella De Pasquale Dr
A. De Pasquale, G. Costantini, P. Facchi, G. Florio, S. Pascazio, K. Yuasa
XX model on the circle
12 pages, 11 figures
Eur. Phys. J. Special Topics 160, 127 (2008)
10.1140/epjst/e2008-00716-9
null
quant-ph cond-mat.stat-mech
null
We diagonalize the XX model with a finite number of spins and periodic boundary conditions. We solve for the ground state, focus on the rapidity of the convergence to the thermodynamic limit and study the features of multipartite entanglement.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:51:03 GMT" } ]
2012-05-28T00:00:00
[ [ "De Pasquale", "A.", "" ], [ "Costantini", "G.", "" ], [ "Facchi", "P.", "" ], [ "Florio", "G.", "" ], [ "Pascazio", "S.", "" ], [ "Yuasa", "K.", "" ] ]
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801.1395
Liang Tian
Liang Tian and Da-Ning Shi
Scaling of disordered recursive networks
5 pages, 5 figures
null
10.1209/0295-5075/84/58001
null
cond-mat.dis-nn
null
In this brief report, we present a disordered version of recursive networks. Depending on the structural parameters $u$ and $v$, the networks are either fractals with a finite fractal dimension $d_{f}$ or transfinite fractals (transfractal) with a infinite fractal dimension. The scaling behavior of degree and dimensionality are studied analytically and by simulations, which are found to be different from those in ordered recursive networks. The transfractal dimension $\tilde{d}_f$, which is recently introduced to distinguish the differences between networks with infinite fractal dimension, scales as $\tilde{d}_f\sim \frac{1}{u+v-1}$ for transfractal networks. Interestingly, the fractal dimension for fractal networks with $u=v$ is found to approach 3 in large limit of $u$, which is thought to be the effect of disorder. We also investigate the diffusion process on this family of networks, and the scaling behavior of diffusion time is observed numercally as $\tau\sim N^{(d_{f}+1)/d_{f}}$ for fractal networks and $\tau\sim \frac{1}{\tilde{d}_f}N$ for transfractal ons. We think that the later relation will give a further understanding of transfractal dimension.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:57:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Tian", "Liang", "" ], [ "Shi", "Da-Ning", "" ] ]
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801.1396
Claire Voisin
Claire Voisin (IMJ, Ihes)
Rationally connected $3$-folds and symplectic geometry
New final version. The statement is improved, thanks to the help of Jason Starr. Indeed, the result holds now for general syplectic equivalence, and not the restricted notion of symplectic equivalence we used before
null
null
null
math.AG math.SG
null
We study the following question, asked to us By Pandharipande and Starr: Let $X$ be a rationally connected $3$-fold, and $Y$ be a compact Kaehler $3$-fold symplectically equivalent to it. Is $Y$ rationally connected? We show that the answer is positive if $X$ is Fano or $b_2(X)\leq2$.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:58:36 GMT" }, { "version": "v2", "created": "Fri, 11 Jan 2008 08:06:42 GMT" }, { "version": "v3", "created": "Sat, 2 Feb 2008 10:28:18 GMT" }, { "version": "v4", "created": "Thu, 21 Feb 2008 11:01:20 GMT" }, { "version": "v5", "created": "Thu, 27 Mar 2008 07:56:52 GMT" } ]
2008-03-27T00:00:00
[ [ "Voisin", "Claire", "", "IMJ, Ihes" ] ]
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801.1397
Martin Lind\'en
Martin Lind\'en
Decay times in turnover statistics of single enzymes
4 pages, 1 figure v2: Published version, minor corrections in response to referee comments
Phys. Rev. E 78, 010901(R), 2008
10.1103/PhysRevE.78.010901
null
physics.bio-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The first passage times for enzymatic turnovers in non-equilibrium steady state display a statistical symmetry property related to non-equilibrium fluctuation theorems, that makes it possible to extract the chemical driving force from single molecule trajectories in non-equilibrium steady state. Below, we show that this system violates the general expectation that the number of decay constants needed to fit a first passage time distribution reflects the number of states in the escape problem. In fact, the structure of the kinetic mechanism makes half of the decay times vanish identically from the turnover time distribution. The terms that cancel out correspond to the eigenvalues of a certain sub-matrix of the master equation matrix for the first exit time problem. We discuss how these results make modeling and data analysis easier for such systems, and how the turnovers can be measured.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:07:30 GMT" }, { "version": "v2", "created": "Wed, 10 Dec 2008 17:13:24 GMT" } ]
2008-12-10T00:00:00
[ [ "Lindén", "Martin", "" ] ]
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801.1398
Hamid Reza Sepangi
K. Atazadeh, M. Farhoudi and H. R. Sepangi
Accelerating universe in $f({\cal R})$ brane gravity
9 pages, 1 figure, to appear in PLB
Phys.Lett.B660:275-281,2008
10.1016/j.physletb.2007.12.057
null
gr-qc astro-ph hep-th
null
We study a 5-dimensional $f({\cal R})$ brane gravity within the framework of scalar-tensor type theories. We show that such a model predicts, for a certain choice of $f({\cal R})$ and a spatially flat universe, an exponential potential, leading to an accelerated expanding universe driven solely by the curvature of the bulk space. This result is consistent with the observational data in the cosmological scale.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:09:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Atazadeh", "K.", "" ], [ "Farhoudi", "M.", "" ], [ "Sepangi", "H. R.", "" ] ]
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801.1399
Jan Lorenz
Jan Lorenz
Heterogeneous bounds of confidence: Meet, Discuss and Find Consensus!
14 pages, 12 figures, large parts rewritten and improved
Complexity (2010), 15(4), 43-52
10.1002/cplx.20295
null
physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The surprising result is that a society of agents with two different bounds of confidence (open-minded and closed-minded agents) can find consensus even when both bounds of confidence are significantly below the critical bound of confidence of a homogeneous society. The phenomenon is shown by examples of agent-based simulation and by numerical computation of the time evolution of the agents density. The result holds for the bounded confidence model of Deffuant, Weisbuch and others (Weisbuch, G. et al; Meet, discuss, and segregate!, Complexity, 2002, 7, 55--63), as well as for the model of Hegselmann and Krause (Hegselmann, R., Krause, U.; Opinion Dynamics and Bounded Confidence, Models, Analysis and Simulation, Journal of Artificial Societies and Social Simulation, 2002, 5, 2). Thus, given an average level of confidence, diversity of bounds of confidence enhances the chances for consensus. The drawback of this enhancement is that opinion dynamics becomes suspect to severe drifts of clusters, where open-minded agents can pull closed-minded agents towards another cluster of closed-minded agents. A final consensus might thus not lie in the center of the opinion interval as it happens for uniform initial opinion distributions under homogeneous bounds of confidence. It can be located at extremal locations. This is demonstrated by example. This also show that the extension to heterogeneous bounds of confidence enriches the complexity of the dynamics tremendously.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:10:38 GMT" }, { "version": "v2", "created": "Thu, 13 Aug 2009 11:17:39 GMT" } ]
2010-12-07T00:00:00
[ [ "Lorenz", "Jan", "" ] ]
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801.14
Ping Wang
Zhe Chang and Ping Wang
Topology Changes and Quantum Phase Transition in Spin-Chain System
5 pages
null
null
null
quant-ph
null
The standard Landau-Ginzburg scenario of phase transition is broken down for quantum phase transition. It is difficult to find an order parameter to indicate different phases for quantum fluctuations. Here, we suggest a topological description of the quantum phase transition for the XY model. The ground states are identified as a specialized U(1) principal bundle on the base manifold $S^2$. And then different first Chern numbers of U(1) principal bundle on the base manifold $S^2$ are associated to each phase of quantum fluctuations. The particle-hole picture is used to parameterized the ground states of the XY system. We show that a singularity of the Chern number of the ground states occurs simultaneously with a quantum phase transition. The Chern number is a suitable topological order of the quantum phase transition.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:16:12 GMT" } ]
2008-01-10T00:00:00
[ [ "Chang", "Zhe", "" ], [ "Wang", "Ping", "" ] ]
[ 0.0155358175, 0.0523066409, -0.0839143917, 0.0253374856, -0.030255802, 0.0072725811, 0.0329130888, 0.0057574599, -0.0597190782, -0.0639147982, 0.057155028, 0.0817232952, -0.0915133134, 0.1063848063, 0.0808841512, 0.0499290638, -0.0126803974, 0.1296943575, 0.0591130294, 0.0789727718, -0.0322371125, -0.0931449756, 0.0418639593, 0.0437520333, -0.0314212777, -0.0258036759, 0.0743574798, 0.0336356871, 0.041607555, 0.0554301217, 0.0655464679, -0.0256638192, 0.0208503958, -0.0052737868, -0.0708144233, -0.0008180197, -0.0981798396, 0.0610244125, 0.0193352755, 0.0107806688, -0.0303723495, 0.066572085, -0.0877837837, 0.0671781376, 0.066572085, 0.0422602221, -0.0264330339, -0.0130883148, -0.0745905712, 0.0342184268, 0.0666187033, 0.0394630767, 0.0032342006, -0.0900214985, -0.0391367413, 0.0525863543, 0.0257803667, 0.0555699766, 0.0574813597, -0.0613041259, 0.0095510902, -0.1036808938, -0.031071635, 0.0824225843, -0.0745905712, -0.0108214607, -0.1281093061, 0.0299061574, 0.0675044656, 0.0268759169, -0.0621432699, -0.0248946045, 0.0694624707, 0.0878770202, 0.0287873, 0.0352906659, -0.0617236979, 0.0132747907, 0.0178318098, 0.0145335067, -0.0026878829, -0.0533322617, 0.0860588774, -0.0620966516, -0.0369223356, 0.0283910371, 0.0041694967, -0.0459897518, -0.0327965431, -0.0568286926, 0.0850798711, 0.0659660399, -0.079438962, -0.0068588364, 0.0624696054, -0.0244051032, 0.1038673744, 0.0132864462, -0.0293001104, -0.0341018774, -0.0597190782, -0.0059905555, 0.0385306925, -0.0225286838, 0.1461042911, -0.0133097554, -0.0380645022, 0.1012567058, -0.0500689223, -0.0466657281, 0.0111711035, 0.0509546846, -0.1208367273, 0.0793457255, -0.1178531051, -0.120370537, -0.0208037775, -0.1489946693, -0.0148481857, 0.1452651471, -0.0039626244, -0.0553368814, 0.0528194495, -0.0087993564, -0.0942172185, -0.1002310812, -0.0201044902, -0.0703016147, -0.0843805894, 0.093051739, 0.0763621032, -0.001638953, -0.1516053379, -0.0535653569, -0.0137060182, -0.0801848695, 0.0362230465, 0.0389269553, 0.0108913891, -0.0339620188, 0.0344515219, -0.069089517, 0.0668051839, 0.0197781567, 0.087830402, 0.0939375013, -0.0242186263, 0.0965015516, 0.0165031645, -0.004688134, 0.0195100978, -0.0431459844, 0.1158018634, 0.0364095233, 0.0435888655, -0.0507215895, 0.0613041259, 0.1077833772, 0.0079369033, 0.0007881543, 0.1116993874, 0.0788795352, -0.0357102379, -0.0130650047, 0.1173869148, -0.0834482014, -0.1197178736, -0.0213748608, -0.0211767294, -0.079858534, -0.0401157439, -0.1047065184, -0.0800450072, -0.0164682008, 0.0743108615, 0.0261300094, -0.0740777627, -0.1576658189, -0.0484838746, 0.0726791918, 0.0716535673, 0.012505576, -0.0453370847, -0.1060118526, -0.0789727718, -0.0013286446, 0.0020760072, 0.0845670626, -0.0031001708, 0.0242652465, -0.0637283176, 0.0923990756, 0.0332627334, 0.0443813913, 0.0469687507, -0.0693692341, 0.0297896098, 0.1009769887, 0.0532390215, -0.0637749434, -0.0128552187, 0.0448009633, 0.0518870689, -0.0385306925, -0.0889958814, 0.0019987943, 0.0364328325, -0.0350808799, -0.1310929358, -0.0466657281, -0.052539736, 0.0169693548, -0.0070861047, -0.0051688938, -0.0410714336, 0.0040820856, -0.0895086899, 0.0370155722, -0.0072084796, 0.0910004973, 0.0289504658, 0.0570151694, 0.0014422786, 0.0750567615, 0.0219809096, 0.0505351126, 0.0274120364, 0.0147666028, 0.0551970229, 0.0229482558, 0.0090965535, 0.0098482864, 0.0177968442, -0.0326100662, -0.0666653216, -0.0957556516, -0.0342417359, -0.0184145477, -0.0202326924, -0.0625162274, -0.083634682, 0.0347545445, -0.1044268012, 0.1125385314, 0.0729589015, -0.0208270866, -0.0644276068, -0.0026470912, 0.0150463171, -0.0014400934, -0.120370537, 0.1129114777, -0.0534254983, 0.0108098062, -0.0301392544, -0.0511411615 ]
801.1401
Saumyadip Samui
Saumyadip Samui, Kandaswamy Subramanian, Raghunathan Srianand
Constrained semi-analytical models of Galactic outflows
27 pages, 31 figures, 2 tables, pdflatex. Accepted for publication in MNRAS
null
10.1111/j.1365-2966.2008.12932.x
null
astro-ph
null
We present semi-analytic models of galactic outflows, constrained by available observations on high redshift star formation and reionization. Galactic outflows are modeled in a manner akin to models of stellar wind blown bubbles. Large scale outflows can generically escape from low mass halos (M<10^9 M_sun) for a wide range of model parameters but not from high mass halos (M> 10^{11} M_sun). The gas phase metallicity of the outflow and within the galaxy are computed. Ionization states of different metal species are calculated and used to examine the detectability of metal lines from the outflows. The global influence of galactic outflows is also investigated. Models with only atomic cooled halos significantly fill the IGM at z~3 with metals (with -2.5>[Z/Z_sun]>-3.7), the actual extent depending on the efficiency of winds, the IMF, the fractional mass that goes through star formation and the reionization history of the universe. In these models, a large fraction of outflows at z~3 are supersonic, hot (T> 10^5 K) and have low density, making metal lines difficult to detect. They may also result in significant perturbations in the IGM gas on scales probed by the Lyman-alpha forest. On the contrary, models including molecular cooled halos with a normal mode of star formation can potentially volume fill the universe at z> 8 without drastic dynamic effects on the IGM, thereby setting up a possible metallicity floor (-4.0<[Z/Z_sun]<-3.6). Interestingly, molecular cooled halos with a ``top-heavy'' mode of star formation are not very successful in establishing the metallicity floor because of the additional radiative feedback, that they induce. (Abridged)
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:48:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Samui", "Saumyadip", "" ], [ "Subramanian", "Kandaswamy", "" ], [ "Srianand", "Raghunathan", "" ] ]
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801.1402
Hideaki Mouri
H. Mouri, A. Hori, M. Takaoka
Fluctuations of statistics among subregions of a turbulence velocity field
7 pages, accepted by Physics of Fluids (see http://pof.aip.org/)
PoF, 20, 035108 [2008]
10.1063/1.2890499
null
physics.flu-dyn
null
To study subregions of a turbulence velocity field, a long record of velocity data of grid turbulence is divided into smaller segments. For each segment, we calculate statistics such as the mean rate of energy dissipation and the mean energy at each scale. Their values significantly fluctuate, in lognormal distributions at least as a good approximation. Each segment is not under equilibrium between the mean rate of energy dissipation and the mean rate of energy transfer that determines the mean energy. These two rates still correlate among segments when their length exceeds the correlation length. Also between the mean rate of energy dissipation and the mean total energy, there is a correlation characterized by the Reynolds number for the whole record, implying that the large-scale flow affects each of the segments.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:19:15 GMT" }, { "version": "v2", "created": "Thu, 6 Mar 2008 09:21:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Mouri", "H.", "" ], [ "Hori", "A.", "" ], [ "Takaoka", "M.", "" ] ]
[ 0.0557388812, 0.0854496956, 0.0678819939, 0.0133001935, 0.0134743769, 0.0943579674, -0.0169953816, -0.0765911937, -0.0308305696, 0.126407817, -0.029536631, 0.0636518151, -0.096995607, 0.1171511859, 0.0428990312, 0.1791606843, 0.045785509, 0.0581774563, 0.0118445121, 0.092118457, -0.080124639, -0.1669180393, 0.0085847834, 0.039340701, -0.0333437957, -0.03794723, -0.0036485328, 0.1164544523, 0.0463827141, -0.0228803139, 0.0248834286, -0.0422271788, -0.0000019683, -0.0366781764, -0.0741526186, 0.1097856909, -0.0429487973, 0.0912724212, -0.0075956667, -0.0414806753, 0.0089455927, -0.0435460024, -0.0985881463, 0.1193409264, 0.0213499833, -0.0948556364, 0.0295117479, -0.1041122675, 0.1280998886, 0.0445662215, -0.0445911065, -0.0439939015, -0.048273854, -0.1632352918, 0.0074339244, 0.0676331595, 0.0549923778, 0.0649457499, 0.0275210738, -0.1907065958, -0.0286159441, -0.0244479701, -0.0176672339, -0.0160746947, -0.0021679688, -0.0151788918, -0.0629053116, -0.0197823271, 0.0522552021, 0.1209334657, -0.0499908105, -0.0453376099, 0.077885136, -0.002706073, 0.036379572, -0.0146687813, -0.0023903644, -0.0486222208, -0.0319005549, 0.0154277263, 0.0872413069, 0.0001201403, -0.0001034218, 0.0439690202, -0.0132006593, 0.0120995678, -0.0147434315, -0.0083359489, 0.0594216287, -0.0151166832, -0.0032130729, 0.0407092907, -0.0903766155, 0.0931635574, 0.013573911, -0.0685289651, 0.0568337515, -0.0846534297, 0.0392411686, -0.0892319754, -0.1102833599, -0.0002731345, 0.0828120559, -0.0203546453, 0.1015243903, 0.0175552592, -0.0906752199, -0.001132196, -0.0663392246, 0.0129145002, 0.1190423295, -0.0095987832, -0.0154401679, 0.0279689748, 0.042849265, -0.0314028896, -0.0216983501, -0.0081119984, 0.0233655404, -0.0144323893, -0.0517575331, 0.0208025463, 0.0377730466, 0.052653335, -0.0142208803, -0.0228678714, 0.0060466733, 0.0520561337, -0.0724107772, -0.0058942623, 0.1060034111, -0.0755460933, -0.1071978137, -0.16164276, -0.035409119, 0.0129393833, 0.0636518151, -0.0527031049, 0.0877389684, -0.0144323893, -0.0059720231, 0.0917203203, 0.060616035, 0.0360312052, 0.0260778349, 0.0710670725, -0.0606658012, 0.1095866263, 0.0381711796, 0.0406346396, -0.0112162055, -0.0077263047, -0.0625569448, -0.0401618555, 0.0464324802, 0.0293126795, 0.1216301993, -0.0114214942, -0.0862459689, -0.0296112802, 0.0187123381, 0.072012648, -0.0508617312, -0.0054494711, -0.0408585928, -0.0516580008, -0.0899784788, -0.0760437623, -0.1044108719, -0.1209334657, -0.0411571935, -0.1239194795, -0.0064261458, -0.1213316023, 0.1303891689, 0.0053623789, -0.0356330723, -0.0805725455, 0.0713159069, 0.044242736, -0.0050326735, 0.0388181508, -0.0044354713, 0.0365786403, 0.016982941, 0.0065630046, 0.0333935618, 0.1059038788, 0.0541961081, 0.0126283402, -0.0498912744, 0.0449394733, -0.0471043326, 0.0249705222, -0.0359316729, -0.0363298059, -0.001498449, 0.1010267213, 0.0053126123, -0.0252069142, 0.057580255, 0.0087092007, 0.0391167514, -0.0793283731, -0.0285164099, 0.0561867841, 0.0446657576, 0.0228305459, -0.0922677591, -0.0141213462, 0.0122799724, 0.0612132363, 0.0369270109, 0.0466315448, -0.0770391002, 0.0487964042, -0.0751479566, 0.174880743, 0.01378542, 0.0159378368, -0.0002451407, 0.0503391773, 0.0267248023, 0.0569830537, 0.0117200948, -0.0127029903, 0.1497982442, -0.0613127686, -0.0022581713, 0.0211135894, 0.0514589325, 0.0637015775, -0.0469550304, -0.0560374819, 0.0501152277, -0.0048802625, 0.0298601147, 0.0512598641, -0.0695740655, 0.0484480374, 0.0131882178, 0.0746005177, -0.0223702025, 0.0397388376, -0.014307972, -0.0090389056, -0.0583765246, 0.0556891151, 0.0695243031, -0.033940997, 0.0445164554, 0.0022659474, -0.0495429076, -0.0804730132, -0.0333686806, -0.0094432617 ]
801.1403
Salvatore Orlando
S. Orlando, F. Bocchino, F. Reale, G. Peres, P. Pagano
The importance of magnetic-field-oriented thermal conduction in the interaction of SNR shocks with interstellar clouds
14 pages, 7 Figures; paper accepted for publication in ApJ; the paper with high-resolution figures can be downloaded at http://www.astropa.unipa.it/~orlando/PAPERS/sorlando_clmhd.pdf
null
10.1086/529420
null
astro-ph
null
We explore the importance of magnetic-field-oriented thermal conduction in the interaction of supernova remnant (SNR) shocks with radiative gas clouds and in determining the mass and energy exchange between the clouds and the hot surrounding medium. We perform 2.5D MHD simulations of a shock impacting on an isolated gas cloud, including anisotropic thermal conduction and radiative cooling; we consider the representative case of a Mach 50 shock impacting on a cloud ten-fold denser than the ambient medium. We consider different configurations of the ambient magnetic field and compare MHD models with or without the thermal conduction. The efficiency of the thermal conduction in the presence of magnetic field is, in general, reduced with respect to the unmagnetized case. The reduction factor strongly depends on the initial magnetic field orientation, and it is minimum when the magnetic field is initially aligned with the direction of shock propagation. The thermal conduction contributes to suppress hydrodynamic instabilities, reducing the mass mixing of the cloud and preserving the cloud from complete fragmentation. Depending on the magnetic field orientation, the heat conduction may determine a significant energy exchange between the cloud and the hot surrounding medium which, while remaining always at levels less than those in the unmagnetized case, leads to a progressive heating and evaporation of the cloud. This additional heating may contrast the radiative cooling of some parts of the cloud, preventing the onset of thermal instabilities.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:19:45 GMT" } ]
2009-11-13T00:00:00
[ [ "Orlando", "S.", "" ], [ "Bocchino", "F.", "" ], [ "Reale", "F.", "" ], [ "Peres", "G.", "" ], [ "Pagano", "P.", "" ] ]
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801.1404
Takeshi Okuda
T. Okuda, S. Iguchi
Performance Measurements of 8-Gsps 1-bit ADCs Developed for Wideband Radio Astronomical Observations
Accepted for publication in PASJ. 19 pages, 15 figures
null
10.1093/pasj/60.2.315
null
astro-ph
null
8-Gsps 1-bit Analog-to-Digital Converters (ADCs) were newly developed toward the realization of the wideband observation. The development of the wideband ADCs is one of the most essential developments for the radio interferometer. To evaluate its performance in interferometric observations, the time (phase) stability and frequency response were measured with a noise source and a signal generator. The results of these measurements show that the developed ADCs can achieve the jitter time less than 0.05 psec at the time interval of 1 sec, the passband frequency response with the slope less than 0.73 dB/GHz and the ripple less than 1.8 dB, and the aperture time less than 20 psec. The details of the developed ADC design, the measurement methods, and the results of these measurements are presented in this paper.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 11:19:57 GMT" } ]
2015-05-13T00:00:00
[ [ "Okuda", "T.", "" ], [ "Iguchi", "S.", "" ] ]
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801.1405
Sung Myung
Sung Myung
On multilinearity and skew-symmetry of certain symbols in motivic cohomology of fields
We acknowledge that mutilinearity does not hold for arbitrary symbols in H^{l-1} (Spec k, Z(l)) as claimed in the 1st version and this mistake has been corrected in the 2nd version
Math. Res. Lett. 16 (2009): 303-322
null
null
math.KT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The purpose of the present article is to show the multilinearity for symbols in Goodwillie-Lichtenbaum complex in two cases. The first case shown is where the degree is equal to the weight. In this case, the motivic cohomology groups of a field are isomorphic to the Milnor's K-groups as shown by Nesterenko-Suslin, Totaro and Suslin-Voevodsky for various motivic complexes, but we give an explicit isomorphism for Goodwillie-Lichtenbaum complex in a form which visibly carries multilinearity of Milnor's symbols to our multilinearity of motivic symbols. Next, we establish multilinearity and skew-symmetry for irreducible Goodwillie-Lichtenbaum symbols in H^{l-1} (Spec k, Z(l)). These properties have been expected to hold from the author's construction of a bilinear form of dilogarithm in case k is a subfield of the field of complex numbers and l=2. Next, we establish multilinearity and skew-symmetry for Goodwillie-Lichtenbaum symbols in H^{l-1} (Spec k, Z(l)). These properties have been expected to hold from the author's construction of a bilinear form of dilogarithm in case k is a subfield of the field of complex numbers and l=2. The multilinearity of symbols may be viewed as a generalization of the well-known formula det(AB) = det(A) det(B) for tuples of commuting matrices.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:07:45 GMT" }, { "version": "v2", "created": "Mon, 15 Sep 2008 09:03:22 GMT" } ]
2009-05-15T00:00:00
[ [ "Myung", "Sung", "" ] ]
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801.1406
Nikolai Voshchinnikov
N.V. Voshchinnikov, H.K. Das
Modelling interstellar extinction and polarization with spheroidal grains
13 pages, 9 figures, aacepted for publication in Journal of Quantitative Spectroscopy & Radiative Transfer (special issue, X Conference on Electromagnetic & Light Scattering)
null
10.1016/j.jqsrt.2008.01.003
null
astro-ph
null
We calculate the wavelength dependence of the ratio of the linear polarization degree to extinction (polarizing efficiency) $P(\lambda)/A(\lambda)$ from the ultraviolet to near-infrared. The prolate and oblate particles with aspect ratios from $a/b=1.1$ up to 10 are assumed to be rotating and partially aligned with the mechanism of paramagnetic relaxation (Davis--Greenstein). Size/shape/orientation effects are analyzed. It is found that the wavelength dependence of $P(\lambda)/A(\lambda)$ is mainly determined by the particle composition and size whereas the values of $P(\lambda)/A(\lambda)$ depend on the particle shape, degree and direction of alignment.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:33:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Voshchinnikov", "N. V.", "" ], [ "Das", "H. K.", "" ] ]
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801.1407
Chunshan Lin
Miao Li, Chunshan Lin, Yi Wang
Some Issues Concerning Holographic Dark Energy
19 pages, 6 figures. final version published in JCAP
JCAP 0805:023,2008
10.1088/1475-7516/2008/05/023
USTC-ICTS-0726
astro-ph gr-qc hep-th
null
We study perturbation of holographic dark energy and find it be stable. We study the fate of the universe when interacting holographic dark energy is present, and discuss a simple phenomenological classification of the interacting holographic dark energy models. We also discuss the cosmic coincidence problem in the context of holographic dark energy. We find that the coincidence problem can not be completely solved by adding an interacting term. Inflation may provide a better solution of the coincidence problem.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:06:06 GMT" }, { "version": "v2", "created": "Sun, 13 Jan 2008 05:32:30 GMT" }, { "version": "v3", "created": "Thu, 29 May 2008 02:05:20 GMT" } ]
2009-06-23T00:00:00
[ [ "Li", "Miao", "" ], [ "Lin", "Chunshan", "" ], [ "Wang", "Yi", "" ] ]
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801.1408
Michael Duetsch
Ferdinand Brennecke and Michael Duetsch
The Quantum Action Principle in the framework of Causal Perturbation Theory
20 pages. Contribution to the Conference on 'Recent Developments in Quantum Field Theory' held from July 20 to July 22, 2007 at the Max Planck Institute for Mathematics in the Sciences, Leipzig/Germany
null
10.1007/978-3-7643-8736-5_11
null
hep-th
null
In perturbative quantum field theory the maintenance of classical symmetries is quite often investigated by means of algebraic renormalization, which is based on the Quantum Action Principle. We formulate and prove this principle in a new framework, in causal perturbation theory with localized interactions. Throughout this work a universal formulation of symmetries is used: the Master Ward Identity.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:06:39 GMT" } ]
2015-05-13T00:00:00
[ [ "Brennecke", "Ferdinand", "" ], [ "Duetsch", "Michael", "" ] ]
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801.1409
Arnaud Bodin
Arnaud Bodin
Integral points on generic fibers
12 pages
null
10.1112/jlms/jdp084
null
math.AG math.NT
null
Let P(x,y) be a rational polynomial and k in Q be a generic value. If the curve (P(x,y)=k) is irreducible and admits an infinite number of points whose coordinates are integers then there exist algebraic automorphisms that send P(x,y) to the polynomial x or to x^2-dy^2. Moreover for such curves (and others) we give a sharp bound for the number of integral points (x,y) with x and y bounded.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:23:25 GMT" } ]
2014-02-26T00:00:00
[ [ "Bodin", "Arnaud", "" ] ]
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801.141
Shmuel Onn
Shmuel Onn
Two graph isomorphism polytopes
null
Discrete Mathematics, 309:2934--2936, 2009
null
null
cs.CC cs.DM math.CO math.OC
null
The convex hull $\psi_{n,n}$ of certain $(n!)^2$ tensors was considered recently in connection with graph isomorphism. We consider the convex hull $\psi_n$ of the $n!$ diagonals among these tensors. We show: 1. The polytope $\psi_n$ is a face of $\psi_{n,n}$. 2. Deciding if a graph $G$ has a subgraph isomorphic to $H$ reduces to optimization over $\psi_n$. 3. Optimization over $\psi_n$ reduces to optimization over $\psi_{n,n}$. In particular, this implies that the subgraph isomorphism problem reduces to optimization over $\psi_{n,n}$.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:34:26 GMT" }, { "version": "v2", "created": "Sat, 12 Jan 2008 11:25:35 GMT" } ]
2009-08-22T00:00:00
[ [ "Onn", "Shmuel", "" ] ]
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801.1411
Ramazan Sever
Ramazan Sever, Cevdet Tezcan, Ozlem Yesiltas, Mahmut Bucurgat
Exact solution of Effective mass Schrodinger Equation for the Hulthen potential
9 pages
Int. J. Theo. Phys. 47, 2243(2008)
10.1007/s10773-008-9656-7
null
quant-ph
null
A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:24:15 GMT" } ]
2010-05-04T00:00:00
[ [ "Sever", "Ramazan", "" ], [ "Tezcan", "Cevdet", "" ], [ "Yesiltas", "Ozlem", "" ], [ "Bucurgat", "Mahmut", "" ] ]
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801.1412
Peter Akhmetiev
Petr M. Akhmet'ev
Geometric approach towards stable homotopy groups of spheres. The Steenrod-Hopf invariant I
null
null
null
null
math.GT math.AT
null
In this paper a geometric approach toward stable homotopy groups of spheres, based on the Pontrjagin-Thom construction is proposed. From this approach a new proof of Hopf Invariant One Theorem by J.F.Adams for all dimensions except $15,31,63,127$ is obtained. It is proved that for $n>127$ in the stable homotopy group of spheres $\Pi_n$ there is no elements with Hopf invariant one. The new proof is based on geometric topology methods. The Pontrjagin-Thom Theorem (in the form proposed by R.Wells) about the representation of stable homotopy groups of the real projective infinite-dimensional space (this groups is mapped onto 2-components of stable homotopy groups of spheres by the Khan-Priddy Theorem) by cobordism classes of immersions of codimension 1 of closed manifolds (generally speaking, non-orientable) is considered. The Hopf Invariant is expressed as a characteristic number of the dihedral group for the self-intersection manifold of an immersed codimension 1 manifold that represents the given element in the stable homotopy group. In the new proof the Geometric Control Principle (by M.Gromov) for immersions in a given regular homotopy classes based on Smale-Hirsch Immersion Theorem is required.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:26:26 GMT" } ]
2008-01-10T00:00:00
[ [ "Akhmet'ev", "Petr M.", "" ] ]
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801.1413
Andrij Rovenchak
Andrij Rovenchak
Fractional statistics and finite bosonic system: A one-dimensional case
10 pages
Fiz. Nizk. Temp. 35, No. 5, 510-513 (2009); Low Temp. Phys. 35, 400-403 (2009)
10.1063/1.3132748
null
math-ph math.MP
null
The equivalence is established between the one-dimensional (1D) Bose-system with a finite number of particles and the system obeying the fractional (intermediate) Gentile statistics, in which the maximum occupation of single-particle energy levels is limited. The system of 1D harmonic oscillators is considered providing the model of harmonically trapped Bose-gas. The results are generalized for the system with power energy spectrum.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:28:07 GMT" } ]
2015-05-13T00:00:00
[ [ "Rovenchak", "Andrij", "" ] ]
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801.1414
Giuliano Benenti
Giuseppe Gennaro, Giuliano Benenti, Massimo Palma
Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
5 pages, 4 figures
Europhys. Lett. 82, 20006 (2008)
10.1209/0295-5075/82/20006
null
quant-ph
null
The dynamics of a single qubit interacting by a sequence of pairwise collisions with an environment consisting of just two more qubits is analyzed. Each collision is modeled in terms of a random unitary operator with a uniform probability distribution described by the uniform Haar measure. We show that the purity of the system qubit as well as the bipartite and the tripartite entanglement reach time averaged equilibrium values characterized by large instantaneous fluctuations.These equilibrium values are independent of the order of collision among the qubits. The relaxation to equilibrium is analyzed also in terms of an ensemble average of random collision histories. Such average allows for a quantitative evaluation and interpretation of the decay constants. Furthermore a dependence of the transient dynamics on the initial degree of entanglement between the environment qubits is shown to exist. Finally the statistical properties of bipartite and tripartite entanglement are analyzed.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:29:23 GMT" } ]
2008-04-16T00:00:00
[ [ "Gennaro", "Giuseppe", "" ], [ "Benenti", "Giuliano", "" ], [ "Palma", "Massimo", "" ] ]
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801.1415
Dietrich Stauffer
S. Wichmann
The emerging field of language dynamics
null
null
null
null
cs.CL physics.soc-ph
null
A simple review by a linguist, citing many articles by physicists: Quantitative methods, agent-based computer simulations, language dynamics, language typology, historical linguistics
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:34:40 GMT" } ]
2008-01-10T00:00:00
[ [ "Wichmann", "S.", "" ] ]
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801.1416
Piyush Kurur
Anindya De, Piyush P Kurur, Chandan Saha and Ramprasad Saptharishi
Fast Integer Multiplication using Modular Arithmetic
fixed some typos and references
null
null
null
cs.SC cs.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give an $O(N\cdot \log N\cdot 2^{O(\log^*N)})$ algorithm for multiplying two $N$-bit integers that improves the $O(N\cdot \log N\cdot \log\log N)$ algorithm by Sch\"{o}nhage-Strassen. Both these algorithms use modular arithmetic. Recently, F\"{u}rer gave an $O(N\cdot \log N\cdot 2^{O(\log^*N)})$ algorithm which however uses arithmetic over complex numbers as opposed to modular arithmetic. In this paper, we use multivariate polynomial multiplication along with ideas from F\"{u}rer's algorithm to achieve this improvement in the modular setting. Our algorithm can also be viewed as a $p$-adic version of F\"{u}rer's algorithm. Thus, we show that the two seemingly different approaches to integer multiplication, modular and complex arithmetic, are similar.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:44:55 GMT" }, { "version": "v2", "created": "Tue, 6 May 2008 07:05:09 GMT" }, { "version": "v3", "created": "Fri, 19 Sep 2008 06:45:16 GMT" } ]
2008-09-19T00:00:00
[ [ "De", "Anindya", "" ], [ "Kurur", "Piyush P", "" ], [ "Saha", "Chandan", "" ], [ "Saptharishi", "Ramprasad", "" ] ]
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801.1417
Peter Akhmetiev
Petr M. Akhmet'ev
Geometric approach towards stable homotopy groups of spheres. The Kervaire invariant II
null
null
null
null
math.GT math.AT
null
The notion of the geometrical $\Z/2 \oplus \Z/2$--control of self-intersection of a skew-framed immersion and the notion of the $\Z/2 \oplus \Z/4$-structure (the cyclic structure) on the self-intersection manifold of a $\D_4$-framed immersion are introduced. It is shown that a skew-framed immersion $f:M^{\frac{3n+q}{4}} \looparrowright \R^n$, $0 < q <<n$ (in the $\frac{3n}{4}+\epsilon$-range) admits a geometrical $\Z/2 \oplus \Z/2$--control if the characteristic class of the skew-framing of this immersion admits a retraction of the order $q$, i.e. there exists a mapping $\kappa_0: M^{\frac{3n+q}{4}} \to \RP^{\frac{3(n-q)}{4}}$, such that this composition $I \circ \kappa_0: M^{\frac{3n+q}{4}} \to \RP^{\frac{3(n-q)}{4}} \to \RP^{\infty}$ is the characteristic class of the skew-framing of $f$. Using the notion of $\Z/2 \oplus \Z/2$-control we prove that for a sufficiently great $n$, $n=2^l-2$, an arbitrary immersed $\D_4$-framed manifold admits in the regular cobordism class (modulo odd torsion) an immersion with a $\Z/2 \oplus \Z/4$-structure. In the last section we present an approach toward the Kervaire Invariant One Problem.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:35:28 GMT" } ]
2008-01-10T00:00:00
[ [ "Akhmet'ev", "Petr M.", "" ] ]
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801.1418
Stefan Wewers
Irene I. Bouw, Stefan Wewers, Leonardo Zapponi
Deformation data, Belyi maps, and the local lifting problem
null
null
null
null
math.NT math.AG
null
We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by reduction modulo $p$ of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow $p$-subgroup of order $p$.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:41:07 GMT" } ]
2008-01-10T00:00:00
[ [ "Bouw", "Irene I.", "" ], [ "Wewers", "Stefan", "" ], [ "Zapponi", "Leonardo", "" ] ]
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801.1419
Vincent Gramoli
Vincent Gramoli (IRISA), Anne-Marie Kermarrec (IRISA), Achour Mostefaoui (IRISA), Michel Raynal (IRISA), Bruno Sericola (IRISA)
Core Persistence in Peer-to-Peer Systems: Relating Size to Lifetime
null
Dans Proceedings of the Workshop on Reliability in Decentralized Distributed Systems 4278 (2006) 1470--1479
null
null
cs.DC
null
Distributed systems are now both very large and highly dynamic. Peer to peer overlay networks have been proved efficient to cope with this new deal that traditional approaches can no longer accommodate. While the challenge of organizing peers in an overlay network has generated a lot of interest leading to a large number of solutions, maintaining critical data in such a network remains an open issue. In this paper, we are interested in defining the portion of nodes and frequency one has to probe, given the churn observed in the system, in order to achieve a given probability of maintaining the persistence of some critical data. More specifically, we provide a clear result relating the size and the frequency of the probing set along with its proof as well as an analysis of the way of leveraging such an information in a large scale dynamic distributed system.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:41:15 GMT" } ]
2008-01-10T00:00:00
[ [ "Gramoli", "Vincent", "", "IRISA" ], [ "Kermarrec", "Anne-Marie", "", "IRISA" ], [ "Mostefaoui", "Achour", "", "IRISA" ], [ "Raynal", "Michel", "", "IRISA" ], [ "Sericola", "Bruno", "", "IRISA" ] ]
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801.142
Przemyslaw Piekarz
P. Piekarz, K. Parlinski, and A. M. Oles
Order parameters in the Verwey phase transition
4 pages, 1 figure
Journal of Physics: Conference Series 92 (2007) 012164
10.1088/1742-6596/92/1/012164
null
cond-mat.stat-mech cond-mat.str-el
null
The Verwey phase transition in magnetite is analyzed on the basis of the Landau theory. The free energy functional is expanded in a series of components belonging to the primary and secondary order parameters. A low-temperature phase with the monoclinic P2/c symmetry is a result of condensation of two order parameters X_3 and \Delta_5 . The temperature dependence of the shear elastic constant C_44 is derived and the mechanism of its softening is discussed.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:45:58 GMT" } ]
2008-01-10T00:00:00
[ [ "Piekarz", "P.", "" ], [ "Parlinski", "K.", "" ], [ "Oles", "A. M.", "" ] ]
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801.1421
Sergei Popov B.
S.B. Popov (Sternberg Astronomical Institute)
Soft gamma repeaters activity in time
5 pages, no figures
Astron.Nachr.329:15-19,2008
10.1002/asna.200710851
null
astro-ph
null
In this short note I discuss the hypothesis that bursting activity of magnetars evolves in time analogously to the glitching activity of normal radio pulsars (i.e. sources are more active at smaller ages), and that the increase of the burst rate follows one of the laws established for glitching radio pulsars. If the activity of soft gamma repeaters decreases in time in the way similar to the evolution of core-quake glitches ($\propto t^{5/2}$), then it is more probable to find the youngest soft gamma repeaters, but the energy of giant flares from these sources should be smaller than observed $10^{44}$ --$10^{46}$ ergs as the total energy stored in a magnetar's magnetic field is not enough to support thousands of bursts similar to the prototype 5 March 1979 flare.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:46:14 GMT" } ]
2010-11-11T00:00:00
[ [ "Popov", "S. B.", "", "Sternberg Astronomical Institute" ] ]
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801.1422
Sebastian Wolf
S. Wolf, A. Schegerer, H. Beuther, D.L. Padgett, K.R. Stapelfeldt
Submillimeter Structure of the Disk of the Butterfly Star
6 pages, emulatepaj, Accepted to ApJL
null
10.1086/529188
null
astro-ph
null
We present a spatially resolved 894 micron map of the circumstellar disk of the Butterfly star in Taurus (IRAS 04302+2247), obtained with the Submillimeter Array (SMA). The predicted and observed radial brightness profile agree well in the outer disk region, but differ in the inner region with an outer radius of ~80-120 AU. In particular, we find a local minimum of the radial brightness distribution at the center, which can be explained by an increasing density / optical depth combined with the decreasing vertical extent of the disk towards the center. Our finding indicates that young circumstellar disks can be optically thick at wavelengths as long as 894 micron. While earlier modeling lead to general conclusions about the global disk structure and, most importantly, evidence for grain growth in the disk (Wolf, Padgett, & Stapelfeldt 2003), the presented SMA observations provide more detailed constraints for the disk structure and dust grain properties in the inner, potentially planet-forming region (inside ~80-120 AU) vs. the outer disk region (~120-300 AU).
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:55:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Wolf", "S.", "" ], [ "Schegerer", "A.", "" ], [ "Beuther", "H.", "" ], [ "Padgett", "D. L.", "" ], [ "Stapelfeldt", "K. R.", "" ] ]
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801.1423
Felix Finster
Felix Finster, Niky Kamran, Joel Smoller and Shing-Tung Yau
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics
25 pages, LaTeX, 2 figures, minor changes (published version)
Bull. Amer. Math. Soc. 46 (2009) 635-659
10.1090/S0273-0979-09-01258-0
null
math-ph gr-qc math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave equations for fields of general spin $s=0, 1/2, 1, 2$, corresponding to scalar, Dirac, electromagnetic fields and linearized gravitational waves. We give results on the long-time dynamics of Dirac and scalar waves, including decay rates for massive Dirac fields. For scalar waves, we give a rigorous treatment of superradiance and describe rigorously a mechanism of energy extraction from a rotating black hole. Finally, we discuss the open problem of linear stability of the Kerr metric and present partial results.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:56:44 GMT" }, { "version": "v2", "created": "Mon, 4 Feb 2008 08:27:37 GMT" }, { "version": "v3", "created": "Wed, 22 Apr 2009 15:37:09 GMT" }, { "version": "v4", "created": "Sat, 25 Jul 2009 06:22:25 GMT" } ]
2009-07-25T00:00:00
[ [ "Finster", "Felix", "" ], [ "Kamran", "Niky", "" ], [ "Smoller", "Joel", "" ], [ "Yau", "Shing-Tung", "" ] ]
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801.1424
Arup Banerjee
Arup Banerjee and Manoj K. Harbola
Comparison of van der Waals coefficient C$_{6}$ of sodium clusters obtained via spherical jellium background model and all-electron ab-initio method
15 pages including 2 figures. To be published in Journal of Computational Methods in Science and Engineering
null
null
null
physics.atm-clus physics.chem-ph
null
In this paper we employ two distinct approaches - all-electron \textit{ab initio} method and the spherical jellium background model- within time dependent density functional theory to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of sodium atom clusters containing even number of atoms ranging from 2 to 20 atoms. The dispersion coefficients are obtained via Casimir-Polder relation. All the calculations are carried out with local density approximation for exchange-correlation energy functional. These two sets of results are compared to assess the accuracy of jellium based results and to ascertain the effect of detail ionic structure of the clusters on the van der Waals coefficient.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:17:50 GMT" } ]
2008-01-10T00:00:00
[ [ "Banerjee", "Arup", "" ], [ "Harbola", "Manoj K.", "" ] ]
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801.1425
Sergey Kiselev
S. M. Kiselev
Direct Photons in Nuclear Collisions at FAIR Energies
9 pages, 5 figures, Talk at the session of Russian Academy of Sciences, ITEP, Moscow, 26 - 30 November 2007
null
10.1134/S1063778809030168
null
hep-ph
null
Using the extrapolation of existing data estimations of prompt photon production at FAIR energies have been made. At $y=y_{c.m.}$ the rapidity density of prompt photons with $p_{t}>$ 1.5 GeV/c per central Au+Au event at 25 AGeV is estimated as $\sim 10^{-4}$ . With the planed beam intensity $10^{9}$ per second and 1% interaction probability, for 10% of most central events one can expect the prompt photon rate $\sim 10^{2}$ photons per second. Direct photons from the hadron scenario of ion collisions generated by the Hadron-String-Dynamics (HSD) transport approach with implemented meson scatterings $\pi\rho\to\pi\gamma, \pi\pi\to\rho\gamma$ have been analyzed. Photons from short-living resonances (e.g. $\omega \to \pi^{0} \gamma$) decaying during the dense phase of the collision should be considered as direct photons. They contribute significantly in the direct photon spectrum at $p_{t}=0.5 - 1$ GeV/c. At the FAIR energy 25 AGeV in Au+Au central collisions the HSD generator predicts, as a lower estimate, $\gamma_{direct}/\gamma_{\pi^{0}} \simeq$ 0.5% in the region $p_{t}=0.5 - 1$ GeV/c. At $p_{t}=1.5 - 2$ GeV/c $\gamma_{prompt}/\gamma_{\pi^{0}} \simeq$ 2%. Thermal direct photons have been evaluated with the Bjorken Hydro-Dynamics (BHD) model. The BHD spectra differ strongly from the HSD predictions. The direct photon spectrum is very sensitive to the initial temperature parameter $T_{0}$ of the model. The 10 MeV increase in the $T_{0}$ value leads to $\sim$ 2 times higher photon yield.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:33:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Kiselev", "S. M.", "" ] ]
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801.1426
Michael R. Shirts
Michael R. Shirts (Department of Chemistry, Columbia University) and John D. Chodera (Department of Chemistry, Stanford University)
Statistically optimal analysis of samples from multiple equilibrium states
13 pages (including appendices), 1 figure, LaTeX
J. Chem. Phys. 129, 124105 (2008)
10.1063/1.2978177
null
physics.comp-ph physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a new estimator for computing free energy differences and thermodynamic expectations as well as their uncertainties from samples obtained from multiple equilibrium states via either simulation or experiment. The estimator, which we term the multistate Bennett acceptance ratio (MBAR) estimator because it reduces to the Bennett acceptance ratio when only two states are considered, has significant advantages over multiple histogram reweighting methods for combining data from multiple states. It does not require the sampled energy range to be discretized to produce histograms, eliminating bias due to energy binning and significantly reducing the time complexity of computing a solution to the estimating equations in many cases. Additionally, an estimate of the statistical uncertainty is provided for all estimated quantities. In the large sample limit, MBAR is unbiased and has the lowest variance of any known estimator for making use of equilibrium data collected from multiple states. We illustrate this method by producing a highly precise estimate of the potential of mean force for a DNA hairpin system, combining data from multiple optical tweezer measurements under constant force bias.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:56:48 GMT" }, { "version": "v2", "created": "Fri, 14 Mar 2008 04:05:19 GMT" }, { "version": "v3", "created": "Tue, 17 Jun 2008 21:25:58 GMT" } ]
2011-12-06T00:00:00
[ [ "Shirts", "Michael R.", "", "Department of Chemistry, Columbia University" ], [ "Chodera", "John D.", "", "Department of Chemistry, Stanford University" ] ]
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801.1427
Yuri Djikaev
Yuri S. Djikaev
Effect of the surface-stimulated mode on the kinetics of homogeneous crystal nucleation in droplets
33 pages, 3 figures
null
10.1021/jp8008942
null
cond-mat.mtrl-sci cond-mat.stat-mech
null
A kinetic theory of homogeneous crystal nucleation in unary droplets is presented taking into account that a crystal nucleus can form not only in the volume-based mode (with all its facets within the droplet) but also in the surface-stimulated one (with one of its facets at the droplet surface). The previously developed thermodynamics of surface-stimulated crystal nucleation rigorously showed that if at least one of the facets of the crystal is only partially wettable by its melt, then it is thermodynamically more favorable for the nucleus to form with that facet at the droplet surface rather than within the droplet. So far, however, the kinetic aspects of this phenomenon had not been studied at all. The theory proposed in the present paper advocates that even in the surface-stimulated mode crystal nuclei initially emerge (as sub-critical clusters) homogeneously in the sub-surface layer, not "pseudo-heterogeneously" at the surface. A homogeneously emerged sub-critical crystal can become a surface-stimulated nucleus due to density and structure fluctuations. This effect contributes to the total rate of crystal nucleation (as the volume-based mode does). An explicit expression for the total per-particle rate of crystal nucleation is derived. Numerical evaluations for water droplets suggest that the surface-stimulated mode can significantly enhance the per-particle rate of crystal nucleation in droplets as large as 10 microns in radius. Possible experimental verification of the proposed theory is discussed.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:49:24 GMT" } ]
2016-09-28T00:00:00
[ [ "Djikaev", "Yuri S.", "" ] ]
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801.1428
Martin Cederwall
Martin Cederwall and Bengt E.W. Nilsson
Pure Spinors and D=6 Super-Yang-Mills
11 pp, 3 figs, plain tex
null
null
null
hep-th
null
Pure spinor cohomology has been used to describe maximally supersymmetric theories, like D=10 super-Yang-Mills and D=11 supergravity. Supersymmetry closes on-shell in such theories, and the fields in the cohomology automatically satisfy the equations of motion. In this paper, we investigate the corresponding structure in a model with off-shell supersymmetry, N=1 super-Yang-Mills theory in D=6. Here, fields and antifields are obtained as cohomologies in different complexes with respect to the BRST operator Q. It turns out to be natural to enlarge the pure spinor space with additional bosonic variables, subject to some constraints generalising the pure spinor condition, in order to accommodate the different supermultiplets in the same generalised pure spinor wave-function. We construct another BRST operator, s, acting in the cohomology of Q, whose cohomology implies the equations of motion. We comment on the possible use of similar approaches in other models.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:50:36 GMT" } ]
2008-01-10T00:00:00
[ [ "Cederwall", "Martin", "" ], [ "Nilsson", "Bengt E. W.", "" ] ]
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801.1429
Marco Miranda
M. Miranda (Univ. of Zurich), M. Sereno (Univ. of Zurich), E. De Filippis (INAF, INFN, Univ. of Naples), M. Paolillo (INFN, Univ. of Naples)
The dynamical state of RX J1347.5-1145 from a combined strong lensing and X-ray analysis
9 pages, 7 figures, accepted for publication in MNRAS. High resolution version at http://www-theorie.physik.unizh.ch/~solar/papers/RXJ1347.pdf
null
10.1111/j.1365-2966.2008.12855.x
null
astro-ph
null
We perform a combined X-ray and strong lensing analysis of RX J1347.5-1145, one of the most luminous galaxy clusters at X-ray wavelengths. We show that evidence from strong lensing alone, based on published VLT and new HST data, strongly argues in favor of a complex structure. The analysis takes into account arc positions, shapes and orientations and is done thoroughly in the image plane. The cluster inner regions are well fitted by a bimodal mass distribution, with a total projected mass of $M_{tot} = (9.9 \pm 0.3)\times 10^{14} M_\odot/h$ within a radius of $360 \mathrm{kpc}/h$ ($1.5'$). Such a complex structure could be a signature of a recent major merger as further supported by X-ray data. A temperature map of the cluster, based on deep Chandra observations, reveals a hot front located between the first main component and an X-ray emitting South Eastern sub-clump. The map also unveils a filament of cold gas in the innermost regions of the cluster, most probably a cooling wake caused by the motion of the cD inside the cool core region. A merger scenario in the plane of the sky between two dark matter sub-clumps is consistent with both our lensing and X-ray analyses, and can explain previous discrepancies with mass estimates based on the virial theorem.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 13:53:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Miranda", "M.", "", "Univ. of Zurich" ], [ "Sereno", "M.", "", "Univ. of Zurich" ], [ "De Filippis", "E.", "", "INAF, INFN, Univ. of Naples" ], [ "Paolillo", "M.", "", "INFN, Univ. of Naples" ] ]
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801.143
Raphaele Herbin
Robert Eymard (LETEM), Thierry Gallou\"et (LATP), Raphaele Herbin (LATP)
Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
null
null
null
null
math.NA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A discretisation scheme for heterogeneous anisotropic diffusion problems on general meshes is developed and studied. The unknowns of this scheme are the values at the centre of the control volumes and at some internal interfaces which may for instance be chosen at the diffusion tensor discontinuities. The scheme is therefore completely cell centred if no edge unknown is kept. It is shown to be accurate on several numerical examples. Mathematical convergence of the approximate solution to the continuous solution is obtained for general (possibly discontinuous) tensors, general (possibly non-conforming) meshes, and with no regularity assumption on the solution. An error estimate is then drawn under sufficient regularity assumptions on the solution.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:01:20 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 08:33:50 GMT" }, { "version": "v3", "created": "Tue, 22 Jan 2008 07:08:49 GMT" }, { "version": "v4", "created": "Fri, 19 Sep 2008 07:08:17 GMT" }, { "version": "v5", "created": "Tue, 9 Dec 2008 10:41:17 GMT" } ]
2008-12-09T00:00:00
[ [ "Eymard", "Robert", "", "LETEM" ], [ "Gallouët", "Thierry", "", "LATP" ], [ "Herbin", "Raphaele", "", "LATP" ] ]
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801.1431
William Chaplin
W. J. Chaplin, S. J. Jimenez-Reyes, A. Eff-Darwich, Y. Elsworth, R. New
A devil in the detail: parameter cross-talk from the solar cycle and estimation of solar p-mode frequencies
9 pages; accepted for publication in MNRAS
null
10.1111/j.1365-2966.2008.12942.x
null
astro-ph
null
Frequencies, powers and damping rates of the solar p modes are all observed to vary over the 11-yr solar activity cycle. Here, we show that simultaneous variations of these parameters give rise to a subtle cross-talk effect, which we call the ``devil in the detail'', that biases p-mode frequencies estimated from analysis of long power frequency spectra. We also show that the resonant peaks observed in the power frequency spectra show small distortions due to the effect. Most of our paper is devoted to a study of the effect for Sun-as-a-star observations of the low-l p modes. We show that for these data the significance of the effect is marginal. We also touch briefly on the likely l dependence of the effect, and discuss the implications of these results for solar structure inversions.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:03:01 GMT" }, { "version": "v2", "created": "Tue, 12 Feb 2008 08:39:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Chaplin", "W. J.", "" ], [ "Jimenez-Reyes", "S. J.", "" ], [ "Eff-Darwich", "A.", "" ], [ "Elsworth", "Y.", "" ], [ "New", "R.", "" ] ]
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801.1432
Bertrand Reulet
Julien Gabelli and Bertrand Reulet
The Noise Susceptibility of a Photo-excited Coherent Conductor
abstract rewritten. minor corrections
null
null
null
cond-mat.mes-hall
null
We report the theory of the \emph{dynamical response of current fluctuations} of a photo-excited conductor. We have performed the calculation for a coherent conductor described by arbitrary energy-dependent transmissions and for arbitrary frequencies. We consider two experimental setups that correspond to different ways of symmetrizing the current operators, leading to different predictions. Our results are in very good, quantitative agreement with a recent measurement. We demonstrate that the dynamical response of noise that we have calculated is the key concept that relates Dynamical Coulomb Blockade, i.e. the electron-electron correction to the conductance due to the presence of an external impedance, to quantum noise.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:06:20 GMT" }, { "version": "v2", "created": "Fri, 25 Jan 2008 14:22:03 GMT" } ]
2011-11-10T00:00:00
[ [ "Gabelli", "Julien", "" ], [ "Reulet", "Bertrand", "" ] ]
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801.1433
DaeKil Park
Eylee Jung, Mi-Ra Hwang, You Hwan Ju, Min-Soo Kim, Sahng-Kyoon Yoo, Hungsoo Kim, D. K. Park, Jin-Woo Son, S. Tamaryan, Seong-Keuck Cha
GHZ versus W : Quantum Teleportation through Noisy Channels
19 pages, 7 figure are included, 4 figures are not included due to file size, These 4 figures can be downloaded from http://rose.kyungnam.ac.kr V2: 23 pages, will appear in PRA
Physical Review A 78, (2008) 012312
10.1103/PhysRevA.78.012312
null
quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Which state does lose less quantum information between GHZ and W states when they are prepared for two-party quantum teleportation through noisy channel? We address this issue by solving analytically a master equation in the Lindbald form with introducing the noisy channels which makes the quantum channels to be mixed states. It is found that the answer of the question is dependent on the type of the noisy channel. If, for example, the noisy channel is ($L_{2,x}$, $L_{3,x}$, $L_{4,x}$)-type where $L's$ denote the Lindbald operators, GHZ state is always more robust than W state, i.e. GHZ state preserves more quantum information. In, however, ($L_{2,y}$, $L_{3,y}$, $L_{4,y}$)-type channel the situation becomes completely reversed. In ($L_{2,z}$, $L_{3,z}$, $L_{4,z}$)-type channel W state is more robust than GHZ state when the noisy paramter ($\kappa$) is comparatively small while GHZ state becomes more robust when $\kappa$ is large. In isotropic noisy channel we found that both states preserve equal amount of quantum information. A relation between the average fidelity and entanglement for the mixed state quantum channels are discussed.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:06:39 GMT" }, { "version": "v2", "created": "Fri, 13 Jun 2008 14:48:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Jung", "Eylee", "" ], [ "Hwang", "Mi-Ra", "" ], [ "Ju", "You Hwan", "" ], [ "Kim", "Min-Soo", "" ], [ "Yoo", "Sahng-Kyoon", "" ], [ "Kim", "Hungsoo", "" ], [ "Park", "D. K.", "" ], [ "Son", "Jin-Woo", "" ], [ "Tamaryan", "S.", "" ], [ "Cha", "Seong-Keuck", "" ] ]
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801.1434
Alexander Tsirlin
Alexander A. Tsirlin, Alexei A. Belik, Roman V. Shpanchenko, Evgeny V. Antipov, Eiji Takayama-Muromachi, Helge Rosner
Frustrated spin-1/2 square lattice in the layered perovskite PbVO(3)
4 pages, 4 figures, 2 tables
Phys. Rev. B, 77, 092402 (2008)
10.1103/PhysRevB.77.092402
null
cond-mat.str-el cond-mat.mtrl-sci
null
We report on the magnetic properties of the layered perovskite PbVO(3). The results of magnetic susceptibility and specific heat measurements as well as band structure calculations consistently suggest that the S=1/2 square lattice of vanadium atoms in PbVO(3) is strongly frustrated due to next-nearest-neighbor antiferromagnetic interactions. The ratio of next-nearest-neighbor (J(2)) to nearest-neighbor (J(1)) exchange integrals is estimated to be J(2)/J(1)\approx 0.2-0.4. Thus, PbVO(3) is within or close to the critical region of the J(1)-J(2) frustrated square lattice. Supporting this, no sign of long-range magnetic ordering was found down to 1.8 K.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:26:59 GMT" } ]
2008-03-06T00:00:00
[ [ "Tsirlin", "Alexander A.", "" ], [ "Belik", "Alexei A.", "" ], [ "Shpanchenko", "Roman V.", "" ], [ "Antipov", "Evgeny V.", "" ], [ "Takayama-Muromachi", "Eiji", "" ], [ "Rosner", "Helge", "" ] ]
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801.1435
Jyotirmoy Bhattacharya
Jyotirmoy Bhattacharya, Sayantani Bhattacharyya, Shiraz Minwalla and Suvrat Raju
Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
a small typo corrected, 46 pages
JHEP 0802:064,2008
10.1088/1126-6708/2008/02/064
TIFR/TH/08-01, HUTP-08/A0001
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a trace formula for a Witten type Index for superconformal field theories in d=3,5 and 6 dimensions, generalizing a similar recent construction in d=4. We perform a detailed study of the decomposition of long representations into sums of short representations at the unitarity bound to demonstrate that our trace formula yields the most general index (i.e. quantity that is guaranteed to be protected by superconformal symmetry alone) for the corresponding superalgebras. Using the dual gravitational description, we compute our index for the theory on the world volume of N M2 and M5 branes in the large N limit. We also compute our index for recently constructed Chern Simons theories in three dimensions in the large N limit, and find that, in certain cases, this index undergoes a large N phase transition as a function of chemical potentials.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:28:14 GMT" }, { "version": "v2", "created": "Tue, 25 Nov 2008 07:08:28 GMT" } ]
2009-09-29T00:00:00
[ [ "Bhattacharya", "Jyotirmoy", "" ], [ "Bhattacharyya", "Sayantani", "" ], [ "Minwalla", "Shiraz", "" ], [ "Raju", "Suvrat", "" ] ]
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801.1436
Kai O. Schweda
K. Schweda
Bulk Properties of QCD-matter at Highest Collider Energies
Proceedings of the ISMD07 conference, Berkeley, CA. 5 pages, 3 figures
Acta Phys.Polon.Supp.1:561-565,2008
null
null
nucl-ex hep-ex
null
The Large Hadron Collider at CERN will provide Pb-Pb collisions at energies up to $\sqrt{s_{NN}}$ = 5.5 TeV. We speculate on global observables, i.e. the charged particle density at mid-rapidity, chemical freeze-out conditions and collective parameters for transverse radial an elliptic flow. Finally, we present an idea how to address the important issue of thermalization by measuring the correlated production of heavy-quark hadrons.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:17:08 GMT" } ]
2009-01-16T00:00:00
[ [ "Schweda", "K.", "" ] ]
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801.1437
Juan Belmonte
J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, P. J. Torres
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schr\"odinger equations with inhomogeneous nonlinearities
11 pages, 6 figures, 1 table
null
null
null
nlin.PS nlin.SI
null
Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities. We present the general theory, use it to study different examples and use the qualitative theory of dynamical systems to obtain some properties of these solutions.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 10:12:34 GMT" } ]
2008-01-10T00:00:00
[ [ "Belmonte-Beitia", "J.", "" ], [ "Perez-Garcia", "V. M.", "" ], [ "Vekslerchik", "V.", "" ], [ "Torres", "P. J.", "" ] ]
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801.1438
Jean-S\'ebastien Sereni
Frantisek Kardos, Daniel Kr\'al', Jozef Miskuf, Jean-S\'ebastien Sereni
Fullerene graphs have exponentially many perfect matchings
7 pages, 3 figures
Journal of Mathematical Chemistry 46(2):443--447, 2009
10.1007/s10910-008-9471-7
KAM-DIMATIA Series 2007-839 and ITI-Series 2008-368
math.CO math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A fullerene graph is a planar cubic 3-connected graph with only pentagonal and hexagonal faces. We show that fullerene graphs have exponentially many perfect matchings.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:25:10 GMT" }, { "version": "v2", "created": "Thu, 27 May 2010 16:14:44 GMT" } ]
2010-05-28T00:00:00
[ [ "Kardos", "Frantisek", "" ], [ "Král'", "Daniel", "" ], [ "Miskuf", "Jozef", "" ], [ "Sereni", "Jean-Sébastien", "" ] ]
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801.1439
Edwin J. Son
Wontae Kim, Edwin J. Son, Myungseok Yoon
Thermodynamics of (2+1)-dimensional acoustic black hole based on the generalized uncertainty principle
11 pages, 4 figures
null
null
null
gr-qc
null
We study thermodynamic quantities of an acoustic black hole and its thermodynamic stability in a cavity based on the generalized uncertainty principle. It can be shown that there is a minimal black hole which can be a stable remnant after black hole evaporation. Moreover, the behavior of the free energy shows that the large black hole is stable too. Therefore, the acoustic black hole can decay into the remnant or the large black hole.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:25:38 GMT" } ]
2008-01-10T00:00:00
[ [ "Kim", "Wontae", "" ], [ "Son", "Edwin J.", "" ], [ "Yoon", "Myungseok", "" ] ]
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801.144
Monia Lupparelli
Monia Lupparelli, Giovanni M. Marchetti and Wicher P. Bergsma
Parameterizations and fitting of bi-directed graph models to categorical data
null
null
null
null
stat.ML math.ST stat.TH
null
We discuss two parameterizations of models for marginal independencies for discrete distributions which are representable by bi-directed graph models, under the global Markov property. Such models are useful data analytic tools especially if used in combination with other graphical models. The first parameterization, in the saturated case, is also known as the multivariate logistic transformation, the second is a variant that allows, in some (but not all) cases, variation independent parameters. An algorithm for maximum likelihood fitting is proposed, based on an extension of the Aitchison and Silvey method.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:29:17 GMT" } ]
2008-01-10T00:00:00
[ [ "Lupparelli", "Monia", "" ], [ "Marchetti", "Giovanni M.", "" ], [ "Bergsma", "Wicher P.", "" ] ]
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801.1441
Harry K. Hahn
Harry K. Hahn, Robert Sachs
The distribution of prime numbers on the square root spiral
44 pages, 26 figures, 7 tables, minor change on text on page 1
null
null
null
math.GM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Prime Numbers clearly accumulate on defined spiral graphs,which run through the Square Root Spiral. These spiral graphs can be assigned to different spiral-systems, in which all spiral-graphs have the same direction of rotation and the same -- second difference -- between the numbers, which lie on these spiral-graphs. A mathematical analysis shows, that these spiral graphs are caused exclusively by quadratic polynomials. For example the well known Euler Polynomial x2+x+41 appears on the Square Root Spiral in the form of three spiral-graphs, which are defined by three different quadratic polynomials. All natural numbers,divisible by a certain prime factor, also lie on defined spiral graphs on the Square Root Spiral (or Spiral of Theodorus, or Wurzelspirale). And the Square Numbers 4, 9, 16, 25, 36 even form a highly three-symmetrical system of three spiral graphs, which divides the square root spiral into three equal areas. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. With the help of the Number-Spiral, described by Mr. Robert Sachs, a comparison can be drawn between the Square Root Spiral and the Ulam Spiral. The shown sections of his study of the number spiral contain diagrams, which are related to my analysis results, especially in regards to the distribution of prime numbers.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 12:08:23 GMT" }, { "version": "v2", "created": "Wed, 17 Jul 2019 19:33:19 GMT" } ]
2019-07-19T00:00:00
[ [ "Hahn", "Harry K.", "" ], [ "Sachs", "Robert", "" ] ]
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801.1442
Jaeweon Lee Dr.
Jae-Weon Lee
Is dark matter a BEC or scalar field?
published version
J.Korean Phys.Soc. 54 (2009) 2622
10.3938/jkps.54.2622
null
astro-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a brief review on the history of the Bose-Einstein condensate (BEC) or boson star model of galactic dark matter halos, where ultra-light scalar dark matter particles condense in a single BEC quantum state. The halos can be described as a self-gravitating, possibly self-interacting, coherent scalar field. On a scale larger than galaxies, dark matter behaves like cold dark matter while below that scale the quantum mechanical nature suppresses the dark matter structure formation due to the minimum length scale determined by the mass $m\st{>}{\sim}10^{-24} eV$ and the self-interaction of the particles. This property could alleviate the cusp problem and missing satellite problems of the $\Lambda$CDM model. Furthermore, this model well reproduces the observed rotation curves of spiral and dwarf galaxies, which makes the model promising.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:30:08 GMT" }, { "version": "v2", "created": "Wed, 23 Apr 2008 13:54:39 GMT" }, { "version": "v3", "created": "Tue, 23 Dec 2008 14:22:11 GMT" }, { "version": "v4", "created": "Wed, 30 Sep 2009 17:49:56 GMT" } ]
2013-08-22T00:00:00
[ [ "Lee", "Jae-Weon", "" ] ]
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801.1443
Wei Liu
Wei Liu
Large Deviations for Stochastic Evolution Equations with Small Multiplicative Noise
31 pages, published in Appl. Math. Optim
Appl. Math. Optim. 61 (2010), 27-56
10.1007/s00245-009-9072-2
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Freidlin-Wentzell large deviation principle is established for the distributions of stochastic evolution equations with general monotone drift and small multiplicative noise. As examples, the main results are applied to derive the large deviation principle for different types of SPDE such as stochastic reaction-diffusion equations, stochastic porous media equations and fast diffusion equations, and the stochastic p-Laplace equation in Hilbert space. The weak convergence approach is employed in the proof to establish the Laplace principle, which is equivalent to the large deviation principle in our framework.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:33:53 GMT" }, { "version": "v2", "created": "Sat, 12 Jan 2008 00:56:40 GMT" }, { "version": "v3", "created": "Fri, 1 Feb 2008 23:42:09 GMT" }, { "version": "v4", "created": "Thu, 10 Sep 2009 11:00:08 GMT" } ]
2010-05-06T00:00:00
[ [ "Liu", "Wei", "" ] ]
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801.1444
Elena Cordero
Elena Cordero, Fabio Nicola and Luigi Rodino
Boundedness of Fourier Integral Operators on $\mathcal{F} L^p$ spaces
26 pages
Trans. Amer. Math. Soc., 361(11):6049--6071, 2009
null
null
math.AP
null
We study the action of Fourier Integral Operators (FIOs) of H{\"o}rmander's type on ${\mathcal{F}} L^p({\mathbb {R}}^d_{comp}$, $1\leq p\leq\infty$. We see, from the Beurling-Helson theorem, that generally FIOs of order zero fail to be bounded on these spaces when $p\not=2$, the counterexample being given by any smooth non-linear change of variable. Here we show that FIOs of order $m=-d|1/2-1/p|$ are instead bounded. Moreover, this loss of derivatives is proved to be sharp in every dimension $d\geq1$, even for phases which are linear in the dual variables. The proofs make use of tools from time-frequency analysis such as the theory of modulation spaces.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:34:50 GMT" }, { "version": "v2", "created": "Thu, 10 Jan 2008 09:13:35 GMT" }, { "version": "v3", "created": "Thu, 24 Apr 2008 10:49:25 GMT" } ]
2016-06-28T00:00:00
[ [ "Cordero", "Elena", "" ], [ "Nicola", "Fabio", "" ], [ "Rodino", "Luigi", "" ] ]
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801.1445
Frank Thuillier
Enore Guadagnini (df), Frank Thuillier (LAPTH)
Deligne-Beilinson cohomology and abelian links invariants
null
SIGMA 4 (2008), 078
10.3842/SIGMA.2008.078
LAPTH-1191/07
math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For the abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of the Chern-Simons links invariants in the case of the torsion-free 3-manifolds $S^3$, $S^1 \times S^2$ and $S^1 \times \Sigma_g$.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:39:24 GMT" }, { "version": "v2", "created": "Mon, 17 Nov 2008 19:56:02 GMT" } ]
2015-05-29T00:00:00
[ [ "Guadagnini", "Enore", "", "df" ], [ "Thuillier", "Frank", "", "LAPTH" ] ]
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801.1446
Abhijit Majumder
A. Majumder
The study of dense matter through jet modification
5 pages, 2 figures, Presented at ISMD 2007, LBNL, Berkeley, California, USA; Aug. 4-9 2007
Acta Phys.Polon.Supp.1:619-623,2008
null
null
nucl-th
null
The use of jet modification to study the properties of dense matter is reviewed. Different sets of jet correlations measurements which may be used to obtain both the space-time and momentum space structure of the produced matter are outlined.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 19:42:56 GMT" } ]
2009-01-16T00:00:00
[ [ "Majumder", "A.", "" ] ]
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801.1447
Janyska Josef
Josef Jany\v{s}ka and Marco Modugno
Generalized geometrical structures of odd dimensional manifolds
null
null
null
null
math.DG math-ph math.MP
null
We define an almost--cosymplectic--contact structure which generalizes cosymplectic and contact structures of an odd dimensional manifold. Analogously, we define an almost--coPoisson--Jacobi structure which generalizes a Jacobi structure. Moreover, we study relations between these structures and analyse the associated algebras of functions. As examples of the above structures, we present geometrical dynamical structures of the phase space of a general relativistic particle, regarded as the 1st jet space of motions in a spacetime. We describe geometric conditions by which a metric and a connection of the phase space yield cosymplectic and dual coPoisson structures, in case of a spacetime with absolute time (a Galilei spacetime), or almost--cosymplectic--contact and dual almost--coPoisson--Jacobi structures, in case of a spacetime without absolute time (an Einstein spacetime).
[ { "version": "v1", "created": "Wed, 9 Jan 2008 14:56:00 GMT" } ]
2008-01-10T00:00:00
[ [ "Janyška", "Josef", "" ], [ "Modugno", "Marco", "" ] ]
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801.1448
Jari Hyv\"aluoma
Jari Hyv\"aluoma and Jens Harting
Slip flow over structured surfaces with entrapped microbubbles
4 pages, 4 figures. v2: revised version, to appear in Phys. Rev. Lett
Phys. Rev. Lett. 100, 246001 (2008)
10.1103/PhysRevLett.100.246001
null
cond-mat.soft
null
On hydrophobic surfaces, roughness may lead to a transition to a superhydrophobic state, where gas bubbles at the surface can have a strong impact on a detected slip. We present two-phase lattice Boltzmann simulations of a Couette flow over structured surfaces with attached gas bubbles. Even though the bubbles add slippery surfaces to the channel, they can cause negative slip to appear due to the increased roughness. The simulation method used allows the bubbles to deform due to viscous stresses. We find a decrease of the detected slip with increasing shear rate which is in contrast to some recent experimental results implicating that bubble deformation cannot account for these experiments. Possible applications of bubble surfaces in microfluidic devices are discussed.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:16:39 GMT" }, { "version": "v2", "created": "Mon, 26 May 2008 05:50:56 GMT" } ]
2008-06-17T00:00:00
[ [ "Hyväluoma", "Jari", "" ], [ "Harting", "Jens", "" ] ]
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801.1449
Peter Curran
P.A. Curran (1), A.J. van der Horst (1,2), R.A.M.J. Wijers (1), R.L.C. Starling (3) ((1) University of Amsterdam, (2) University of Alabama at Huntsville, (3) University of Leicester)
The hidden X-ray breaks in afterglow light curves
4 pages, contributed talk, submitted to the proceedings of Gamma Ray Bursts 2007, Santa Fe, New Mexico, November 5-9 2007
AIP Conf.Proc.1000:208-211,2008
10.1063/1.2943445
null
astro-ph
null
Gamma-Ray Burst (GRB) afterglow observations in the Swift era have a perceived lack of achromatic jet breaks compared to the BeppoSAX, or pre-Swift era. Specifically, relatively few breaks, consistent with jet breaks, are observed in the X-ray light curves of these bursts. If these breaks are truly missing, it has serious consequences for the interpretation of GRB jet collimation and energy requirements, and the use of GRBs as standard candles. Here we address the issue of X-ray breaks which are possibly 'hidden' and hence the light curves are misinterpreted as being single power-laws. We show how a number of precedents, including GRB 990510 & GRB 060206, exist for such hidden breaks and how, even with the well sampled light curves of the Swift era, these breaks may be left misidentified. We do so by synthesising X-ray light curves and finding general trends via Monte Carlo analysis. Furthermore, in light of these simulations, we discuss how to best identify achromatic breaks in afterglow light curves via multi-wavelength analysis.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:27:30 GMT" } ]
2009-06-23T00:00:00
[ [ "Curran", "P. A.", "" ], [ "van der Horst", "A. J.", "" ], [ "Wijers", "R. A. M. J.", "" ], [ "Starling", "R. L. C.", "" ] ]
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801.145
Martin Lemoine
Kumiko Kotera, Martin Lemoine (IAP)
The optical depth of the Universe to ultrahigh energy cosmic ray scattering in the magnetized large scale structure
version to appear in PRD; substantial improvements: extended introduction, sections added on angular images and on direction dependent effects with sky maps of optical depth, enlarged discussion of Auger results (conclusions unchanged); 27 pages, 9 figures
Phys.Rev.D77:123003,2008
10.1103/PhysRevD.77.123003
null
astro-ph
null
This paper provides an analytical description of the transport of ultrahigh energy cosmic rays in an inhomogeneously magnetized intergalactic medium. This latter is modeled as a collection of magnetized scattering centers such as radio cocoons, magnetized galactic winds, clusters or magnetized filaments of large scale structure, with negligible magnetic fields in between. Magnetic deflection is no longer a continuous process, it is rather dominated by scattering events. We study the interaction between high energy cosmic rays and the scattering agents. We then compute the optical depth of the Universe to cosmic ray scattering and discuss the phenomological consequences for various source scenarios. For typical parameters of the scattering centers, the optical depth is greater than unity at 5x10^{19}eV, but the total angular deflection is smaller than unity. One important consequence of this scenario is the possibility that the last scattering center encountered by a cosmic ray be mistaken with the source of this cosmic ray. In particular, we suggest that part of the correlation recently reported by the Pierre Auger Observatory may be affected by such delusion: this experiment may be observing in part the last scattering surface of ultrahigh energy cosmic rays rather than their source population. Since the optical depth falls rapidly with increasing energy, one should probe the arrival directions of the highest energy events beyond 10^{20}eV on an event by event basis to circumvent this effect.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:37:19 GMT" }, { "version": "v2", "created": "Wed, 30 Apr 2008 08:29:55 GMT" } ]
2008-11-26T00:00:00
[ [ "Kotera", "Kumiko", "", "IAP" ], [ "Lemoine", "Martin", "", "IAP" ] ]
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801.1451
Pieter Moree
Andreas Decker and Pieter Moree
Counting RSA-integers
to appear in Results in Mathematics, 5 pages, with the view of possible interest by cryptographers we aimed for a very short paper, rather than a more extensive technical one with stronger results
Result. Math. 52 (2008), 35-39
null
null
math.NT
null
In the RSA cryptosystem integers of the form n=p.q with p and q primes of comparable size (`RSA-integers') play an important role. It is a folklore result of cryptographers that C_r(x), the number of integers n<=x that are of the form n=pq with p and q primes such that p<q<rp, is for fixed r>1 asymptotically equal to c_r*x*log^{-2}x for some constant c_r>0. Here we prove this and show that c_r=2log r.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:36:28 GMT" } ]
2012-07-30T00:00:00
[ [ "Decker", "Andreas", "" ], [ "Moree", "Pieter", "" ] ]
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801.1452
Mohamed Saidi
Mohamed Saidi and Akio Tamagawa
A prime-to-p version of the Grothendieck anabelian conjecture for hyperbolic curves over finite fields of characteristic p>0
null
null
null
null
math.AG math.NT
null
In this paper, we prove a prime-to-p version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic p>0, whose original (full profinite) version was proved by Tamagawa in the affine case and by Mochizuki in the proper case.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:52:53 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 11:53:43 GMT" } ]
2008-01-14T00:00:00
[ [ "Saidi", "Mohamed", "" ], [ "Tamagawa", "Akio", "" ] ]
[ 0.1010083333, -0.0745475814, -0.0127690025, -0.007875843, 0.0935743675, 0.0337387584, 0.0077653727, 0.0707006305, -0.0331669152, -0.0196636133, 0.0430702008, -0.0787064433, -0.0785504803, -0.0610832684, 0.0653980821, 0.1131210104, 0.0374557413, 0.0010429643, 0.1645869166, 0.0760551691, 0.0026772667, -0.0188448373, 0.0092079779, -0.0466572195, 0.0365199968, -0.0686212033, 0.0016513602, -0.0114693586, 0.1545016766, -0.044837717, 0.016739415, -0.0407048501, -0.0001848947, -0.1052191779, -0.1003325135, 0.0623829104, -0.0184679404, 0.0458514392, -0.0106115928, 0.0246672425, -0.0190007947, 0.0518557951, -0.075587295, 0.0191437565, 0.1035036445, 0.036649961, 0.0000121334, 0.1058949903, -0.0547410063, 0.0234715696, -0.0004016712, 0.1108336374, 0.038729392, 0.0028738377, -0.0663858131, 0.0270585883, 0.0094354153, 0.0131199062, -0.0185199268, -0.0759511963, 0.0605634116, -0.0095978705, -0.0739757344, 0.0617590807, -0.1140567586, 0.0000588394, -0.1191513613, 0.0809418261, 0.1023079753, 0.1750880331, -0.0763670802, 0.0118917422, 0.0298138335, 0.0170513298, -0.005880889, -0.018441949, -0.0499843061, 0.1516944468, 0.027994331, -0.018311983, 0.0067061628, 0.0657100007, 0.0368059166, -0.00773938, -0.0035642737, -0.0179220904, -0.0113458922, 0.0247842111, -0.0612392239, 0.0095003974, 0.0251871012, 0.0043018218, -0.0279423464, 0.0264607519, 0.1286127716, 0.022743769, -0.0143350735, 0.1234141961, -0.0712724775, 0.0144520411, -0.0179610793, 0.005234316, -0.0372218043, -0.0290340465, 0.1421290636, 0.0588998646, -0.0258889087, 0.0263307877, -0.1185275316, -0.0224058628, 0.0048119319, -0.1085462645, 0.040029034, 0.1358907819, 0.0410427563, 0.0008569527, -0.090143308, -0.0870241597, -0.0642543957, -0.024719229, -0.0808898434, -0.0117422836, -0.0095588816, -0.0455135331, 0.0640984401, 0.0286701471, -0.1042834371, -0.1011122987, -0.0379755981, 0.008454184, 0.0140101621, 0.0035707718, -0.016297536, 0.077302821, 0.004022398, 0.0539612174, 0.0350903869, -0.0314253904, 0.0490745567, 0.0146469874, 0.0374297462, 0.0066509279, -0.0010973869, 0.0324651077, 0.0031743804, 0.0130744185, 0.0731439665, 0.0656060278, 0.0811497718, 0.0127819991, -0.0569763929, -0.0694529712, 0.0808898434, -0.0141011374, -0.0410167649, -0.0403149575, 0.1168639883, -0.0268766377, 0.0179350879, 0.0035805192, 0.0298658181, 0.097889185, -0.0786544532, -0.0010397151, 0.1216466799, -0.0131913861, -0.1185275316, -0.0018471191, -0.0602514967, -0.0528175309, -0.1208149046, -0.0024823199, -0.0988769159, 0.0740797073, -0.0528175309, 0.0121776639, -0.1464958638, -0.1175917909, -0.0165184755, -0.015816668, 0.0357142165, 0.1453521848, -0.0574442632, 0.0325430855, -0.000421572, -0.0347524807, 0.1400496364, 0.055572778, 0.0674255267, -0.0201444812, -0.0018714874, 0.0017740141, 0.0143480692, 0.0123336213, -0.0266167093, -0.0879599079, 0.0987209603, -0.0738717616, -0.0328809917, 0.0198975503, 0.0126910238, -0.0348044671, 0.000655508, 0.1020480469, -0.0012362864, 0.0037202309, 0.0678934008, 0.0098058134, -0.0410167649, 0.0475149825, 0.0207683109, -0.0593157522, 0.0059166295, 0.0733519047, 0.0935223848, -0.0178311151, 0.0112939067, -0.0118852444, -0.0237314999, 0.1369304955, -0.0105466107, -0.0121906605, 0.0903512537, -0.0194946602, 0.1094820127, 0.0516998395, 0.0488406196, 0.0132303759, -0.0447597392, 0.0126130451, -0.0051043518, -0.0125675574, -0.1100018695, -0.0158426594, 0.1316279471, 0.0243813209, 0.0851526707, -0.0116123194, -0.1022559926, -0.1382821202, -0.0271365661, 0.0351163819, -0.0152188307, 0.0288001113, -0.0664378032, -0.0085256649, -0.0433561243, -0.0443698466, -0.1031917334, 0.0259019043, -0.0403409488, 0.0021444126, -0.0046137362, -0.0103581622, -0.1303802878, -0.0590038374 ]
801.1453
Ren\'e Messina
Lahcen Assoud, Rene Messina, Hartmut Loewen
Binary crystals in two-dimensional two-component Yukawa mixtures
RevTeX 4 - 17 pages - 6 main figures
null
10.1063/1.2996515
null
cond-mat.soft cond-mat.mtrl-sci
null
The zero-temperature phase diagram of binary mixtures of particles interacting via a screened Coulomb pair potential is calculated as a function of composition and charge ratio. The potential energy obtained by a Lekner summation is minimized among a variety of candidate two-dimensional crystals. A wealth of different stable crystal structures is identified including $A,B,AB_2, A_2B, AB_4$ structures [$A$ $(B)$ particles correspond to large (small) charge.] Their elementary cells consist of triangular, square or rhombic lattices of the $A$ particles with a basis comprising various structures of $A$ and $B$ particles. For small charge asymmetry there are no intermediate crystals besides the pure $A$ and $B$ triangular crystals.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 15:57:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Assoud", "Lahcen", "" ], [ "Messina", "Rene", "" ], [ "Loewen", "Hartmut", "" ] ]
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801.1454
Isabel P\'erez-Arjona
Isabel Perez-Arjona, Victor J. Sanchez-Morcillo and German de Valcarcel
Derivation of the spatio-temporal model equations for the thermoacoustic resonator
null
null
null
null
nlin.PS
null
We derive the model equations describing the thermoacoustic resonator, that is, an acoustical resonator containing a viscous medium inside. Previous studies on this system have addressed this sytem in the frame of the plane-wave approximation, we extend the previous model to by considering spatial effects in a large aperture resonator. This model exhibits pattern formation and localized structures scenario.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:02:35 GMT" } ]
2008-01-10T00:00:00
[ [ "Perez-Arjona", "Isabel", "" ], [ "Sanchez-Morcillo", "Victor J.", "" ], [ "de Valcarcel", "German", "" ] ]
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801.1455
J\"org Hennig
J\"org Hennig and Marcus Ansorg
A Fully Pseudospectral Scheme for Solving Singular Hyperbolic Equations
24 pages, 12 figures
J.Hyperbol.Diff.Equat.6:161,2009
10.1142/S0219891609001769
null
gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
With the example of the spherically symmetric scalar wave equation on Minkowski space-time we demonstrate that a fully pseudospectral scheme (i.e. spectral with respect to both spatial and time directions) can be applied for solving hyperbolic equations. The calculations are carried out within the framework of conformally compactified space-times. In our formulation, the equation becomes singular at null infinity and yields regular boundary conditions there. In this manner it becomes possible to avoid "artificial" conditions at some numerical outer boundary at a finite distance. We obtain highly accurate numerical solutions possessing exponential spectral convergence, a feature known from solving elliptic PDEs with spectral methods. Our investigations are meant as a first step towards the goal of treating time evolution problems in General Relativity with spectral methods in space and time.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:13:19 GMT" }, { "version": "v2", "created": "Thu, 26 Mar 2009 12:41:44 GMT" } ]
2010-11-05T00:00:00
[ [ "Hennig", "Jörg", "" ], [ "Ansorg", "Marcus", "" ] ]
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801.1456
Guo Hongchen
H. C. Guo, Y. Q. Qin, G. J. You, W. M. Liu, S. H. Tang
A Diffractive Study of Parametric Process in Nonlinear Photonic Crystals
null
null
10.1007/s00340-009-3828-x
null
physics.optics
null
We report a general description of quasi-phase-matched parametric process in nonlinear photonic crystals (NLPC) by extending the conventional X-ray diffraction theory in solids. Under the virtual wave approximation, phase-matching resonance is equivalent to the diffraction of the scattered virtual wave. Hence a modified NLPC Ewald construction can be built up, which illustrates the nature of the accident for the diffraction of the virtual wave in NLPC and further reveals the complete set of diffractions of the virtual wave for both of the air-dielectric and dielectric-dielectric contacts. We show the two basic linear sequences, the anti-stacking and para-stacking linear sequences, in one-dimension (1D) NLPC and present a general rule for multiple phase-matching resonances in 1D NLPC. The parameters affecting the NLPC structure factor are investigated, which indicate that not only the Ewald construction but also the relative NLPC atom size together determine whether a diffraction of the virtual wave can occur in 2D NLPC. The results also show that 1D NLPC is a better choice than 2D NLPC for a single parametric process.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:08:46 GMT" } ]
2015-05-13T00:00:00
[ [ "Guo", "H. C.", "" ], [ "Qin", "Y. Q.", "" ], [ "You", "G. J.", "" ], [ "Liu", "W. M.", "" ], [ "Tang", "S. H.", "" ] ]
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801.1457
Frederick Bernardot
B. Eble, C. Testelin, F. Bernardot, M. Chamarro, and G. Karczewski
Inversion of the spin polarization of localized electrons driven by dark excitons
3 figures
null
null
null
cond-mat.other
null
The creation of free excitons by absorption of circularly polarized photons, and their subsequent fast capture by donors, is at the origin of the spin polarization of donor-bound electrons. The sign of the electronic spin polarization at low density of excitation is, as expected, fixed by the helicity of the exciting light; but at high density of excitation we show that the spin polarization is of the opposite sign. This striking inversion is explained, here, by the contribution of dark excitons to mechanisms of spin polarization of localized electrons.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:15:01 GMT" } ]
2008-01-10T00:00:00
[ [ "Eble", "B.", "" ], [ "Testelin", "C.", "" ], [ "Bernardot", "F.", "" ], [ "Chamarro", "M.", "" ], [ "Karczewski", "G.", "" ] ]
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801.1458
Miguel Orszag
Maritza Hernandez, Miguel Orszag
Decoherence versus disentanglement for two qubits in a squeezed bath
9 pages, 13 figures
null
10.1103/PhysRevA.78.042114
null
quant-ph
null
We study the relation between the sudden death and revival of the entanglement of two qubits in a common squeezed reservoir, and the normal decoherence, by getting closer to the Decoherence Free Subspace and calculating the effect on the death and revival times.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:17:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Hernandez", "Maritza", "" ], [ "Orszag", "Miguel", "" ] ]
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801.1459
Eilam Gross
Eilam Gross and Ofer Vitells
A Method for Deriving Transverse Masses Using Lagrange Multipliers
4 pages, 2 figures
null
null
null
physics.data-an hep-ex
null
We use Lagrange multipliers to extend the traditional definition of Transverse Mass used in experimental high energy physics. We demonstrate the method by implementing it to derive a new Transverse Mass that can be used as a discriminator to distinguish between top decays via a charged W or a charged Higgs Boson.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:20:04 GMT" } ]
2008-01-10T00:00:00
[ [ "Gross", "Eilam", "" ], [ "Vitells", "Ofer", "" ] ]
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801.146
Jean-Marc Luck
Y. Avishai, J.M. Luck
Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge
28 pages, 22 figures, 6 tables. Various kinds of minor improvements
J. Stat. Mech. (2008) P06007
10.1088/1742-5468/2008/06/P06007
null
cond-mat.mes-hall
null
This is the first of two papers devoted to tight-binding electronic spectra on graphs with the topology of the sphere. In this work the one-electron spectrum is investigated as a function of the radial magnetic field produced by a magnetic charge sitting at the center of the sphere. The latter is an integer multiple of the quantized magnetic charge of the Dirac monopole, that integer defining the gauge sector. An analysis of the spectrum is carried out for the five Platonic solids (tetrahedron, cube, octahedron, dodecahedron and icosahedron), the C$_{60}$ fullerene, and two families of polyhedra, the diamonds and the prisms. Except for the fullerene, all the spectra are obtained in closed form. They exhibit a rich pattern of degeneracies. The total energy at half filling is also evaluated in all the examples as a function of the magnetic charge.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:29:48 GMT" }, { "version": "v2", "created": "Fri, 21 Mar 2008 14:43:50 GMT" } ]
2008-06-13T00:00:00
[ [ "Avishai", "Y.", "" ], [ "Luck", "J. M.", "" ] ]
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801.1461
Adam-Christiaan van Roosmalen
Carl Fredrik Berg, Adam-Christiaan van Roosmalen
The Quiver of Projectives in Hereditary Categories with Serre Duality
16 pages, as accepted by Journal of Pure and Applied Algebra
null
null
null
math.RT math.CT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre duality with no infinite radicals between the preprojective objects. If A is generated by the preprojective objects, then we show that A is derived equivalent to rep_k Q for a so called strongly locally finite quiver Q. To this end, we introduce light cone distances and round trip distances on quivers which will be used to investigate sections in stable translation quivers of the form \mathbb{Z} Q.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:51:17 GMT" }, { "version": "v2", "created": "Wed, 23 Sep 2009 15:03:09 GMT" } ]
2009-09-23T00:00:00
[ [ "Berg", "Carl Fredrik", "" ], [ "van Roosmalen", "Adam-Christiaan", "" ] ]
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801.1462
Alberto Tonolo
Francesca Mantese, Alberto Tonolo
On classes defining a homological dimension
to appear in Contribution to Module Theory, de Gruyter 2007
null
null
null
math.RA math.CT
null
A class $\mathcal F$ of objects of an abelian category $\mathcal A$ is said to define a \emph{homological dimension} if for any object in $\mathcal A$ the length of any $\mathcal F$-resolution is uniquely determined. In the present paper we investigate classes satisfying this property.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:39:04 GMT" } ]
2008-01-10T00:00:00
[ [ "Mantese", "Francesca", "" ], [ "Tonolo", "Alberto", "" ] ]
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801.1463
Dmitry Semenov
D. Semenov (1), Ya. Pavlyuchenkov (1), Th. Henning (1), S. Wolf (1), and R. Launhardt (1) ((1) Max Planck Institute for Astronomy, Heidelberg, Germany)
Chemical and thermal structure of protoplanetary disks as observed with ALMA
4 pages, 3 figures, 1 table, accepted for publication to ApJ Letters
null
10.1086/528795
null
astro-ph
null
We predict how protoplanetary disks around low-mass young stars would appear in molecular lines observed with the ALMA interferometer. Our goal is to identify those molecules and transitions that can be used to probe and distinguish between chemical and physical disk structure and to define necessary requirements for ALMA observations. Disk models with and without vertical temperature gradient as well as with uniform abundances and those from a chemical network are considered. As an example, we show the channel maps of HCO$^+$(4-3) synthesized with a non-LTE line radiative transfer code and used as an input to the GILDAS ALMA simulator to produce noise-added realistic images. The channel maps reveal complex asymmetric patterns even for the model with uniform abundances and no vertical thermal gradient. We find that a spatial resolution of $0.2-0.5\arcsec$ and 0.5--10 hours of integration time will be needed to disentangle large-scale temperature gradients and the chemical stratification in disks in lines of abundant molecules.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:43:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Semenov", "D.", "" ], [ "Pavlyuchenkov", "Ya.", "" ], [ "Henning", "Th.", "" ], [ "Wolf", "S.", "" ], [ "Launhardt", "R.", "" ] ]
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801.1464
G. Mihaly
A. Geresdi, A. Halbritter, M. Csontos, Sz. Csonka, G. Mihaly, T. Wojtowicz, X. Liu, B. Janko, J.K. Furdyna
Nanoscale spin-polarization in dilute magnetic semiconductor (In,Mn)Sb
4 pages
null
10.1103/PhysRevB.77.233304
null
cond-mat.other
null
Results of point contact Andreev reflection (PCAR) experiments on (In,Mn)Sb are presented and analyzed in terms of current models of charge conversion at a superconductor-ferromagnet interface. We investigate the influence of surface transparency, and study the crossover from ballistic to diffusive transport regime as contact size is varied. Application of a Nb tip to a (In,Mn)Sb sample with Curie temperature Tc of 5.4 K allowed the determination of spin-polarization when the ferromagnetic phase transition temperature is crossed. We find a striking difference between the temperature dependence of the local spin polarization and of the macroscopic magnetization, and demonstrate that nanoscale clusters with magnetization close to the saturated value are present even well above the magnetic phase transition temperature.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:46:38 GMT" } ]
2009-11-13T00:00:00
[ [ "Geresdi", "A.", "" ], [ "Halbritter", "A.", "" ], [ "Csontos", "M.", "" ], [ "Csonka", "Sz.", "" ], [ "Mihaly", "G.", "" ], [ "Wojtowicz", "T.", "" ], [ "Liu", "X.", "" ], [ "Janko", "B.", "" ], [ "Furdyna", "J. K.", "" ] ]
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801.1465
Harry Lipkin J
Harry J. Lipkin
New method for studying neutrino mixing and mass differences
12 pages -Revised in view of announcement of new experiment on K-capture
null
null
null
hep-ph
null
Neutrino masses and mixing can be investigated by studying the behavior of a radioactive bare nucleus which decays by emitting an electron into the open atomic K shell BEFORE and DURING its weak decay by neutrino emission. The initial nuclear state has a momentum spread required by Heisenberg. The wave packet contains pairs of components with different momenta which can produce neutrinos in two mass eigenstates with exactly the same energy and different momenta. These neutrino amplitudes mix to produce a single electron-neutrino state with the same energy. Since there is no information on which mass eigenstates produced the neutrino this is a typical quantum mechanics "two-slit" or "which path" experiment. A transition between the same initial and a final states can go via two paths with a phase difference producing interference and oscillations. Here the two paths are in momentum space A new oscillation phenomenon providing information about neutrino mixing is obtained by following the nucleus before and during the decay. The analysis starts with Stodolsky's proof that interference between states having different energies cannot be observed in realistic experiments. Results then follow from simple rigorous quantum mechanics without the hand waving and loopholes which have confused many previous neutrino oscillation investigations.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 16:49:06 GMT" }, { "version": "v2", "created": "Thu, 6 Mar 2008 19:53:34 GMT" } ]
2008-03-06T00:00:00
[ [ "Lipkin", "Harry J.", "" ] ]
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801.1466
Lei-Han Tang
Lei-Han Tang and Qing-Hu Chen
Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
14 pages, 4 figures, to appear in JSTAT
null
10.1088/1742-5468/2008/04/P04003
null
cond-mat.supr-con cond-mat.dis-nn
null
The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling scheme. For weak quantum fluctuation, the system is found to be in a phase glass phase characterized by a finite compressibility and a finite value for the Edwards-Anderson order parameter, signifying long-ranged phase rigidity in both spatial and imaginary time directions. Scaling properties of the model near the transition to the gapped, Mott insulator state with vanishing compressibility are analyzed. At the quantum critical point, the dynamic exponent $z_{\rm dyn}\simeq 1.17$ is greater than one. Correlation length exponents in the spatial and imaginary time directions are given by $\nu\simeq 0.73$ and $\nu_z\simeq 0.85$, respectively, both assume values greater than 0.6723 of the pure case. We speculate that the phase glass phase is superconducting rather than metallic in the zero current limit.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:00:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Tang", "Lei-Han", "" ], [ "Chen", "Qing-Hu", "" ] ]
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801.1467
Tobias Gail
Wolfram Weise and Rainer Hartle
Chiral SU(3) Dynamics and Antikaon-Nuclear quasibound States
null
Nucl.Phys.A804:173-185,2008
10.1016/j.nuclphysa.2008.01.003
TUM/T39-08-01
nucl-th
null
Recent developments are summarised concerning low-energy KbarN interactions as they relate to the possible existence of antikaon-nuclear quasibound states. An exploratory study of antikaons bound to finite nuclei is performed, with emphasis on the evolution of such states from light to heavy nuclei (A = 16 - 208). The energy dependent, driving attractive KbarN interactions are constructed using the s-wave coupled-channel amplitudes involving the Lambda(1405) and resulting from chiral SU(3) dynamics, plus p-wave amplitudes dominated by the Sigma(1385). Effects of Pauli and short-range correlations are discussed. The decay width induced by K^-NN two-body absorption is estimated and found to be substantial. It is concluded that Kbar-nuclear quasibound states can possibly exist with binding energies ranging from 60 to 100 MeV, but with short life times corresponding to decay widths of the similar magnitudes.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:10:13 GMT" } ]
2008-11-26T00:00:00
[ [ "Weise", "Wolfram", "" ], [ "Hartle", "Rainer", "" ] ]
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801.1468
Ingo Krug
I. P. Krug, F. U. Hillebrecht, H. Gomonaj, M. Haverkort, A. Tanaka, L. H. Tjeng and C. M. Schneider
Magnetic coupling in highly-ordered NiO/Fe3O4(110): Ultrasharp magnetic interfaces vs. long-range magnetoelastic interactions
null
Europhysics Letters 81 (2008) 17005
10.1209/0295-5075/81/17005
null
cond-mat.mtrl-sci
null
We present a laterally resolved X-ray magnetic dichroism study of the magnetic proximity effect in a highly ordered oxide system, i.e. NiO films on Fe3O4(110). We found that the magnetic interface shows an ultrasharp electronic, magnetic and structural transition from the ferrimagnet to the antiferromagnet. The monolayer which forms the interface reconstructs to NiFe2O4 and exhibits an enhanced Fe and Ni orbital moment, possibly caused by bonding anisotropy or electronic interaction between Fe and Ni cations. The absence of spin-flop coupling for this crystallographic orientation can be explained by a structurally uncompensated interface and additional magnetoelastic effects.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:10:35 GMT" } ]
2008-01-10T00:00:00
[ [ "Krug", "I. P.", "" ], [ "Hillebrecht", "F. U.", "" ], [ "Gomonaj", "H.", "" ], [ "Haverkort", "M.", "" ], [ "Tanaka", "A.", "" ], [ "Tjeng", "L. H.", "" ], [ "Schneider", "C. M.", "" ] ]
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801.1469
Vadim Asnin
Vadim Asnin
Analyticity Properties of Graham-Witten Anomalies
2 typos corrected
Class. Quantum Grav. 25 (2008) 145013
10.1088/0264-9381/25/14/145013
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Analytic properties of Graham-Witten anomalies are considered. Weyl anomalies according to their analytic properties are of type A (coming from $\delta$-singularities in correlators of several energy-momentum tensors) or of type B (originating in counterterms which depend logarithmically on a mass scale). It is argued that all Graham-Witten anomalies can be divided into 2 groups: internal and external, and that all external anomalies are of type B, whereas among internal anomalies there is one term of type A and all the rest are of type B. This argument is checked explicitly for the case of a free scalar field in a 6-dimensional space with a 2-dimensional submanifold.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:20:02 GMT" }, { "version": "v2", "created": "Thu, 3 Jul 2008 12:56:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Asnin", "Vadim", "" ] ]
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801.147
Dorodnitsyn Anton
A. Dorodnitsyn, T. Kallman, and D. Proga
An axisymmetric, hydrodynamical model for the torus wind in AGN
ApJ Letters, accepted for publication
null
10.1086/529374
null
astro-ph
null
We report on time-dependent axisymmetric simulations of an X-ray excited flow from a parsec-scale, rotating, cold torus around an active galactic nucleus. Our simulations account for radiative heating and cooling and radiation pressure force. The simulations follow the development of a broad bi-conical outflow induced mainly by X-ray heating. We compute synthetic spectra predicted by our simulations. The wind characteristics and the spectra support the hypothesis that a rotationally supported torus can serve as the source of a wind which is responsible for the warm absorber gas observed in the X-ray spectra of many Seyfert galaxies.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:28:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Dorodnitsyn", "A.", "" ], [ "Kallman", "T.", "" ], [ "Proga", "D.", "" ] ]
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801.1471
Witold Maciejewski
Witold Maciejewski (Liverpool John Moores University)
Orbits in corotating and counterrotating double bars
2 pages, 1 figure; to appear in "Formation and Evolution of Galaxy Disks", ASP Conf. Ser., eds. J.G. Funes & E.M. Corsini
null
null
null
astro-ph
null
The backbone of double bars is made out of double-frequency orbits, and loops, their maps, indicate the bars' extent, morphology and dynamics.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 18:00:02 GMT" } ]
2008-01-10T00:00:00
[ [ "Maciejewski", "Witold", "", "Liverpool John Moores University" ] ]
[ -0.0439720601, 0.015898928, 0.0900890976, -0.0153336981, -0.046609804, 0.1667286009, -0.0502620637, 0.0098625533, -0.0290586613, -0.0831903815, 0.0129350899, -0.0742626339, -0.0194932166, 0.0454213694, 0.0508128032, 0.1158868149, -0.064987056, -0.0101741552, 0.0119350664, 0.110611327, -0.0620884337, -0.1533949524, 0.0457981899, 0.0978574008, 0.0248846505, -0.0148844123, -0.0003836142, 0.0156670399, 0.0147974528, 0.0538273677, 0.0310732033, -0.0435372666, 0.0063769631, -0.022841122, -0.1237130836, 0.0242759399, -0.0084712161, 0.0838280767, 0.0072248094, 0.0235947631, -0.0556245111, -0.0092248572, 0.0644073263, 0.0681755319, 0.0654508322, 0.0397690609, 0.0161453113, 0.0129858162, 0.0829005241, 0.0416241772, -0.0488127545, 0.0836541653, 0.0989588723, -0.1004081815, -0.045740217, 0.0387835316, -0.0743206069, 0.0065291408, 0.0670740604, -0.0316819139, 0.0383487381, -0.0343776308, 0.0235657785, -0.0682914779, -0.0594796762, 0.0231454782, -0.1801781952, 0.0180439074, 0.0366095677, 0.0331891961, 0.1007560194, 0.0495663956, -0.0129930628, 0.0602912903, -0.0120292716, -0.0494214632, 0.0594796762, 0.0390154198, 0.0707263201, 0.0565230846, 0.0294934548, 0.0248846505, -0.0003580248, 0.0103770588, 0.0232034512, -0.0197685864, 0.0420009978, -0.0267832447, 0.0348993801, 0.0005720245, 0.0714219883, -0.0166815557, -0.0419430248, 0.0375081375, 0.1191912368, -0.0564940982, -0.0109857684, 0.0320007615, -0.0040399511, -0.0017156205, -0.0469866246, -0.0395951457, 0.0178410038, -0.0074277129, 0.1111910492, -0.0386675857, 0.0488997139, -0.0454503559, -0.0808135122, -0.0618565418, -0.0152322464, -0.0265658498, -0.0568709187, -0.048725795, 0.1371626854, -0.0563491657, 0.0793062299, 0.0135655403, 0.0711321235, 0.0039131367, -0.1064952835, -0.0057899929, -0.0003523635, 0.0026939046, 0.0482910015, -0.0782627314, -0.043160446, -0.0450735353, 0.0147829605, -0.0505519249, 0.0493634939, -0.0373052359, -0.0714799613, -0.0703784823, -0.0606391244, 0.0787265077, -0.0931036621, -0.0072501726, 0.0300876722, 0.0976834819, 0.0746104717, 0.027609352, 0.0519432649, -0.0313630663, -0.0608130395, 0.1641778201, -0.0247542113, 0.0762336999, -0.071016185, -0.0035870417, -0.1588443518, -0.0450155623, -0.0023750565, 0.0617985725, 0.0046486612, -0.0756539702, 0.0678856745, 0.0145655638, -0.0422618762, 0.1383221298, 0.0196671337, -0.0148844123, -0.0220584963, 0.0383487381, 0.0400879085, 0.0244063772, -0.1224376932, 0.1188434064, -0.088233985, 0.0144930985, 0.008007437, -0.0059457934, -0.0263194665, 0.0338558778, 0.115712896, -0.0253484286, -0.0642913803, -0.1263798177, -0.0499432161, -0.031392049, 0.1080605388, -0.0013342708, 0.1324089468, -0.0962341726, -0.0611029007, 0.0640594959, 0.1171042323, -0.0515954308, 0.0127974059, 0.0827266052, 0.002152225, 0.0926978588, 0.0903209895, 0.1059155613, 0.004246478, -0.1546703428, -0.0353051871, -0.0850455016, -0.0286093764, 0.0007001978, 0.0184352212, 0.0703784823, 0.0723495483, -0.1328727305, -0.0960022807, 0.0625522137, 0.0514215119, -0.0080799023, -0.0028877498, 0.0960602537, 0.070030652, 0.0000415544, -0.0135945259, 0.068117559, -0.0592477843, -0.0651609674, 0.0247687045, 0.0937413573, 0.004391409, 0.0488417409, -0.0398270339, 0.0225222744, 0.1238290295, 0.1234811991, 0.0211889092, 0.057392668, 0.1324089468, -0.0034946483, 0.0030888414, 0.0130655281, 0.0036649422, -0.0296818651, 0.0193772726, -0.0645232722, -0.0402328409, 0.1173361242, -0.0540882424, 0.0017237728, 0.031971775, -0.0275223944, -0.0419720113, 0.0376820564, -0.0118698478, -0.0161742978, -0.032435555, 0.0406096615, -0.0894514024, -0.0113770822, 0.0228846017, -0.0440010466, 0.0404647291, 0.0084132431, 0.0061523202, 0.0087320916, 0.0384936705, 0.0511606373 ]
801.1472
Witold Maciejewski
Witold Maciejewski (Liverpool John Moores University) and Hannah Singh (University of Oxford)
Tremaine-Weinberg integrals for gas flows in double bars
4 pages, 2 figures; to appear in "Formation and Evolution of Galaxy Disks", ASP Conf. Ser., eds. J.G. Funes & E.M. Corsini
null
null
null
astro-ph
null
We report on our attempts to achieve a nearly steady-state gas flow in hydrodynamical simulations of doubly barred galaxies. After exploring the parameter space, we construct two models, for which we evaluate the photometric and the kinematic integrals, present in the Tremaine-Weinberg method, in search of observational signatures of two rotating patterns. We show that such signatures are often present, but a direct fit to data points is likely to return incorrect pattern speeds. However, for a particular distribution of the tracer, presented here, the values of the pattern speeds can be retrieved reliably even with the direct fit.
[ { "version": "v1", "created": "Wed, 9 Jan 2008 17:51:57 GMT" } ]
2008-01-10T00:00:00
[ [ "Maciejewski", "Witold", "", "Liverpool John Moores University" ], [ "Singh", "Hannah", "", "University of Oxford" ] ]
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