Random walks in a simple percolation model with two jump frequencies

We consider transport properties of the system in which the good-conducting bonds lie in parallel planes linked by poor-conducting bonds and the concentration p of good-conducting bonds is close to the two-dimensional percolation threshold pc. The diffusion coefficient D(τ) which describes the random walking in directions along the planes is calculated as a function of variable τ = p − pc. For τ → 0 the asymptotic relation D(τ)/D(0) − 1 τα is found w α = 2ν − s. Here s is the superconductivity exponent and ν is the correlation length exponent. It is argued that such behavior is to be expected also for more general models.