Transport on a dynamically disordered lattice

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).