Percolation conductivity in anisotropic system

Abstract

The results of direct Monte Carlo simulations are presented for square random resistor lattice with conductance anisotropy. Near the percolation threshold the anisotropy follows the power law (p-pc)lambda , where lambda =0.9+or-0.1. An idea of backbone droplet structure appears to be necessary to account for the critical behaviour of the anisotropy.