C. Monthus, DIFFUSIVE TRANSPORT IN A ONE-DIMENSIONAL DISORDERED POTENTIAL INVOLVING CORRELATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2569-2573
This paper 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 also discuss the probability di
stribution of the stationary flux going through a sample between two p
rescribed concentrations, which differs significantly from the uncorre
lated case.