Scaling law of resistance fluctuations in stationary random resistor networks

In a random resistor network we consider the simultaneous evolution of two competing random processes consisting in breaking and recovering the elemen tary resistors with probabilities W-D and W-R. The condition W-R > W-D/(1 W-D) leads to a stationary state, while in the opposite case, the broken r esistor fraction reaches the percolation threshold p(c). We study the resis tance noise of this system under stationary conditions by Monte Carlo simul ations. The variance of resistance fluctuations [deltaR(2)] is found to fol low a scaling law \p - p(c)\(-kappa0) with kappa (0) = 5.5. The proposed mo del relates quantitatively the defectiveness of a disordered media with its electrical and excess-noise characteristics.