Noise and crossover exponent in the two-component random resistor network

Abstract
The resistance noise of random conductor-insulator mixtures is studied in the case where the insulator has a small, but finite conductivity. Based on the structure of a simple renormalization group, a general homogeneity relation for the noise of both insulators and conductors is suggested. The expression for the total noise is valid from the noisy-conductor quiet-insulator limit to the noisy-conductor quiet-insulator limit. Monte Carlo simulations confirm the scaling predictions. For all multifractal moments, there is a single crossover exponent associated with the small finite conductivity of the insulator.