publications

The Statistics of the Number of Minima in a Random Energy Landscape

Satya N. Majumdar 1, Olivier C. Martin 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 74 (2006) 061112 We consider random energy landscapes constructed from d-dimensional lattices or trees. The distribution of the number of local minima in such landscapes follows a large deviation principle and we derive the associated law exactly for dimension 1. Also of […]

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The rich behavior of the Boltzmann equation for dissipative gases

M. H. Ernst, E. Trizac 1, A. Barrat 2 Europhysics Letters (EPL) 76 (2006) 56 Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing results for Maxwell molecules and hard spheres to large classes of particle interactions,

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The Glass-like Structure of Globular Proteins and the Boson Peak

Stefano Ciliberti 1, Paolo De Los Rios 2, Francesco Piazza 2 Physical Review Letters 96 (2006) 198103 Vibrational spectra of proteins and topologically disordered solids display a common anomaly at low frequencies, known as Boson peak. We show that such feature in globular proteins can be deciphered in terms of an energy landscape picture, as it is for glassy systems. Exploiting

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The Boltzmann equation for driven systems of inelastic soft spheres

M. H. Ernst, E. Trizac 1, A. Barrat 2 Journal of Statistical Physics 124 (2006) 549 We study a generic class of inelastic soft sphere models with a binary collision rate $g^\nu$ that depends on the relative velocity $g$. This includes previously studied inelastic hard spheres ($\nu=1$) and inelastic Maxwell molecules ($\nu=0$). We develop a new asymptotic method for analyzing

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Testing the relevance of effective interaction potentials between highly charged colloids in suspension

J. Dobnikar 1, 2, R. Castañeda-Priego 3, H. H. von Grünberg 2, E. Trizac 4, 5 New Journal of Physics 8 (2006) 277 Combining cell and Jellium model mean-field approaches, Monte Carlo together with integral equation techniques, and finally more demanding many-colloid mean-field computations, we investigate the thermodynamic behavior, pressure and compressibility of highly charged colloidal dispersions, and at a more microscopic level, the force

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Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality

Jovanka Lukic 1, Enzo Marinari 2, Olivier C. Martin 3, Silvia Sabatini 4 Journal of Statistical Mechanics (2006) L10001 We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We study two temperature correlators from the total free energy and from the domain wall free energy: in

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