Conductivity distribution of resistor-capacitor composites

Conductivities of the N×N percolation systems with resistors and capacitors mixed near the percolation threshold pc were calculated. The statistical distribution of these conductivities were obtained after more than 104 configurations considered. We have shown that the argument of Rammal et al., which is only for the case of dc response, can be properly extended to the case of nonzero capacitances (ac response). Some other interesting features, including the functional form, of the distribution were discussed as a function of the ratio ω/ω0 with ω01/RC.