2010

Superconductor-Insulator transition and energy localization

M. V. Feigel’man 1, 2, L. B. Ioffe 1, 3, 4, M. Mézard 3 Physical Review B 82 (2010) 184534 We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to the order-disorder transition in quantum magnets. The effective spin-1/2 models for these transitions are solved in the cavity […]

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STDP-driven networks and the \emph{C. elegans} neuronal network

Quansheng Ren 1, Kiran M. Kolwankar 1, 2, Areejit Samal 1, 3, Jürgen Jost 1, 4 Physica A: Statistical Mechanics and its Applications 389, 18 (2010) 3900-3914 We study the dynamics of the structure of a formal neural network wherein the strengths of the synapses are governed by spike-timing-dependent plasticity (STDP). For properly chosen input signals, there exists a steady state with a residual network. We

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Statistical properties of the spectrum the extended Bose-Hubbard model

Corinna Kollath 1, Guillaume Roux 2, Giulio Biroli 3, Andreas Laeuchli 4 Journal of Statistical Mechanics (2010) P08011 Motivated by the role that spectral properties play for the dynamical evolution of a quantum many-body system, we investigate the level spacing statistic of the extended Bose-Hubbard model. In particular, we focus on the distribution of the ratio of adjacent level spacings, useful at large

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Spectral properties of the Google matrix of the World Wide Web and other directed networks

Bertrand Georgeot 1, Olivier Giraud 1, 2, Dima L. Shepelyansky 1 Physical Review E 81 (2010) 056109 We study numerically the spectrum and eigenstate properties of the Google matrix of various examples of directed networks such as vocabulary networks of dictionaries and university World Wide Web networks. The spectra have gapless structure in the vicinity of the maximal eigenvalue for Google damping parameter

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Spatial and topological organization of DNA chains induced by gene co-localization

Ivan Junier 1, 2, Olivier C. Martin 3, 4, François Képès 5 PLoS Computational Biology 6, 2 (2010) 1000678 Transcriptional activity has been shown to relate to the organization of chromosomes in the eukaryotic nucleus and in the bacterial nucleoid. In particular, highly transcribed genes, RNA polymerases and transcription factors gather into discrete spatial foci called transcription factories. However, the mechanisms underlying the formation

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Scattering on two Aharonov-Bohm vortices with opposite fluxes

E. Bogomolny 1, S. Mashkevich 2, 3, S. Ouvry 1 Journal of Physics A Mathematical and Theoretical 43 (2010) 354029 The scattering of an incident plane wave on two Aharonov-Bohm vortices with opposite fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary conditions for the partial waves on a cut joining the two vortices. These conditions result in

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Rheological properties for inelastic Maxwell mixtures under shear flow

Vicente Garzo 1, Emmanuel Trizac 2 Journal of Non-Newtonian Fluid Mechanics 165 (2010) 932-940 The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions) are {\em exactly} evaluated in terms of the coefficients of restitution, the

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Reply to ‘Comment on `Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined’  »

Guillaume Roux 1 Physical Review A: Atomic, Molecular and Optical Physics 82 (2010) 037602 In his Comment [see preceding Comment, Phys. Rev. A 82, 037601 (2010)] on the paper by Roux [Phys. Rev. A 79, 021608(R) (2009)], Rigol argued that the energy distribution after a quench is not related to standard statistical ensembles and cannot explain thermalization.

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Renormalization group computation of the critical exponents of hierarchical spin glasses

Michele Castellana 1, 2, Giorgio Parisi 3 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 82, 4 (2010) 040105 The infrared behaviour of a non-mean field spin-glass system is analysed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the epsilon-expansion technique with two independent methods. Both methods yield the

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