Diffusive transport in a one-dimensional disordered potential involving correlations

Cecile Monthus 1, 2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 52 (1995) 2569-2573

This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of the position of the Brownian particle are analogous to the uncorrelated case. We discuss also the probability distribution of the stationary flux going through a sample between two prescribed concentrations, which differs significantly from the uncorrelated case.

  • 1. Division de Physique Théorique, IPN,
    Université Paris XI - Paris Sud
  • 2. L.P.T.P.E,
    Université Paris VI - Pierre et Marie Curie