publications

Strong universality and algebraic scaling in two-dimensional Ising spin glasses

T. Joerg 1, J. Lukic 1, E. Marinari 2, O. C. Martin 3 Physical Review Letters 96 (2006) 237205 At zero temperature, two-dimensional Ising spin glasses are known to fall into several universality classes. Here we consider the scaling at low but non-zero temperature and provide numerical evidence that $\eta \approx 0$ and $\nu \approx 3.5$ in all cases, suggesting a unique universality

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Strong clustering of non-interacting, sliding passive scalars driven by fluctuating surfaces

Apoorva Nagar 1, Satya N. Majumdar 2, Mustansir Barma 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 021124 We study the clustering of passive, non-interacting particles moving under the influence of a fluctuating field and random noise, in one dimension. The fluctuating field in our case is provided by a surface governed by the Kardar-Parisi-Zhang (KPZ) equation

Strong clustering of non-interacting, sliding passive scalars driven by fluctuating surfaces Lire la suite »

Statistical Properties of Functionals of the Paths of a Particle Diffusing in a One-Dimensional Random Potential

Sanjib Sabhapandit 1, 2, Satya N. Majumdar 1, Alain Comtet 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 051102 We present a formalism for obtaining the statistical properties of functionals and inverse functionals of the paths of a particle diffusing in a one-dimensional quenched random potential. We demonstrate the implementation of the formalism in two specific examples: (1)

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Statistical mechanics of error exponents for error-correcting codes

Thierry Mora 1, Olivier Rivoire 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 056110 Error exponents characterize the exponential decay, when increasing message length, of the probability of error of many error-correcting codes. To tackle the long standing problem of computing them exactly, we introduce a general, thermodynamic, formalism that we illustrate with maximum-likelihood decoding

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Stationary state of a heated granular gas: fate of the usual H-functional

Ioana Bena 1, Francois Coppex 1, Michel Droz 1, Paolo Visco 2, 3, Emmanuel Trizac 2, Frederic van Wijland 4 Physica A 370 (2006) 179-189 We consider the characterization of the nonequilibrium stationary state of a randomly-driven granular gas in terms of an entropy-production based variational formulation. Enforcing spatial homogeneity, we first consider the temporal stability of the stationary state reached after a transient. In connection, two heuristic

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Spectroscopy of the Kondo Problem in a Box

Ribhu K. Kaul 1, 2, Gergely Zaránd 3, 4, Shailesh Chandrasekharan 1, Denis Ullmo 1, 5, Harold U. Baranger 1 Physical Review Letters 96 (2006) 176802 Motivated by experiments on double quantum dots, we study the problem of a single magnetic impurity confined in a finite metallic host. We prove an exact theorem for the ground state spin, and use analytic and numerical arguments to map out the

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Spectral statistics in an open parametric billiard system

B. Dietz 1, A. Heine 1, A. Richter 1, O. Bohigas 2, P. Leboeuf 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 035201 We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal ensembles of random matrices are found. They are explained

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Spatial survival probability for one-dimensional fluctuating interfaces in the steady state

Satya N. Majumdar 1, Chandan Dasgupta 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 011602 We report numerical and analytic results for the spatial survival probability for fluctuating one-dimensional interfaces with Edwards-Wilkinson or Kardar-Parisi-Zhang dynamics in the steady state. Our numerical results are obtained from analysis of steady-state profiles generated by integrating a spatially discretized

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Short time relaxation of a driven elastic string in a random medium

Alejandro B. Kolton 1, Alberto Rosso 2, Ezequiel V. Albano 3, Thierry Giamarchi 1 Physical Review B 74 (2006) 140201 We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated lengthscales, from the large lengthscales that keep memory

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