publications

Kinetics of Anchoring of Polymer Chains on Substrates with Chemically Active Sites

G. Oshanin 1, S. Nechaev 2, A. M. Cazabat 3, M. Moreau 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 58 (1998) 6134-6144 We consider dynamics of an isolated polymer chain with a chemically active end-bead on a 2D solid substrate containing immobile, randomly placed chemically active sites (traps). For a particular situation when the end-bead can be irreversibly trapped by

Kinetics of Anchoring of Polymer Chains on Substrates with Chemically Active Sites Lire la suite »

Exponential functionals of Brownian motion and disordered systems

Alain Comtet 1, Cecile Monthus 1, Marc Yor 2 Journal of Applied Probability 35 (1998) 255-271 The paper deals with exponential functionals of the linear Brownian motion which arise in different contexts such as continuous time finance models and one-dimensional disordered models. We study some properties of these exponential functionals in relation with the problem of a particle coupled to a

Exponential functionals of Brownian motion and disordered systems Lire la suite »

Exact Results on Sinai’s Diffusion

Alain Comtet 1, David S. Dean 1 Journal of Physics A 31 (1998) 8595 We study the continuum version of Sinai\’s problem of a random walker in a random force field in one dimension. A method of stochastic representations is used to represent various probability distributions in this problem (mean probability density function and first passage time distributions). This

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Droplet Phenomenology and Mean Field in a Frustrated and Disordered System

J. Houdayer 1, O. C. Martin 1 Physical Review Letters 81 (1998) 2554-2557 The low lying excited states of the three-dimensional minimum matching problem are studied numerically. The excitations\’ energies grow with their size and confirm the droplet picture. However, some low energy, infinite size excitations create multiple valleys in the energy landscape. These states violate the droplet scaling

Droplet Phenomenology and Mean Field in a Frustrated and Disordered System Lire la suite »

Comparing Mean Field and Euclidean Matching Problems

J. Houdayer 1, J. H. Boutet de Monvel 1, 2, O. C. Martin 1 European Physical Journal B 6 (1998) 383-393 Combinatorial optimization is a fertile testing ground for statistical physics methods developed in the context of disordered systems, allowing one to confront theoretical mean field predictions with actual properties of finite dimensional systems. Our focus here is on minimum matching problems,

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Chaos and Interacting Electrons in Ballistic Quantum Dots

D. Ullmo 1, 2, H. U. Baranger 1, K. Richter 3, F. Von Oppen 4, R. A. Jalabert 5 Physical Review Letters 80 (1998) 895-899 We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical finite-temperature Green functions. Specifically, the orbital magnetism is greatly enhanced

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Uniform approximation for diffractive contributions to the trace formula in billiard systems

Martin Sieber 1, 2, Nicolas Pavloff 1, Charles Schmit 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 55 (1997) 2279-2299 We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional billiard systems with corners. This is achieved by using the exact Sommerfeld solution for the Green function of a wedge.

Uniform approximation for diffractive contributions to the trace formula in billiard systems Lire la suite »

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