Abstract. The influence of size dispersion of CuBr grains on the experimentally observed conductivity enhancement in CuBr-TiO2 composites is investigated. Using an extension of a random resistor network model recently introduced, we show that a bimodal size distribution can be simulated using a mean size value. Furthermore, we develop an electric breakdown model to simulate dendritic decomposition structures observed near the copper electrodes when a certain voltage is applied to thin CuBr films. Preliminary results for homogeneous systems without conductivity gradient are presented.