Conductivity of a two-dimensional random diode-insulator network

Abstract

The authors study the bulk conductivity of a random network of diodes and insulators as a function of the concentration of diodes p near the percolation threshold. The network considered is a square lattice and the diodes are oriented along the positive x or y axes. The results of the analogue and digital simulations show that the conductivity in the easy direction varies as (p-p_c)^t, where p_c is the critical probability for directed percolation, and t=0.73+or-0.10.