Conductivity Percolation on a Cubic Lattice with Two Different Sizes of Particles

Abstract

Electric conductance of percolation clusters is calculated by means of random circuit approximation under a binary distribution in the size of the conducting particles. Although we have already investigated a similar size distribution model in 2D, a 3D version of this model has not been reported before. The size distribution of conducting particles induces a clear difference in the ensemble of a random circuit. Consequently, a significant change in the critical point and conductance compared to the monodisperse cases is observed.