RANDOM-WALK ON A 2D ANISOTROPIC PERCOLATION NETWORK

We have studied the variance of a random walk on 2D anisotropic random percolation networks. The problem has been worked out by introducing a generalization of the effective medium approximation. A set of coupl ed non-linear self-consistent equations must be solved to find the eff ective rates in each direction. Here we have solved a particular 2D mo del in its de-limit. Monte Carlo simulations have been made to show th e agreement with our theoretical predictions. (C) 1998 Elsevier Scienc e B.V. All rights reserved.