Diffusive transport in a one-dimensional disordered potential involving correlations

Cécile Monthus
1995 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
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.
more » ... the uncorrelated case.
doi:10.1103/physreve.52.2569 pmid:9963701 fatcat:a4yworiv5zd77dbptzhrbdewtm