Transport on a dynamically disordered lattice

Abstract

We consider diffusion on a lattice governed by a master equation in which the bond transition rates fluctuate dynamically between two different values with a relaxation time τ. The effective-medium bond transition rate in the Laplace domain is ψ(z+1/τ), where ψ(z) is the known solution in the static limit τ→∞. This solution exhibits no percolation transition for any finite τ, but it interpolates smoothly between the static solution and the solution in the limit of rapid fluctuations (τ=0).