Monte Carlo calculations of connectedness and mean cluster size for bidispersions of overlapping spheres

Abstract

The pair-connectedness function and mean cluster size are computed from Monte Carlo simulations for the continuum-percolation model of overlapping spheres with two different diameters. The percolation threshold of the spheres is found to be independent of the distribution (for the cases examined) and slightly higher than that for equisized spheres. Our simulation results are used to assess the accuracy of the Percus-Yevick approximation for the aforementioned cluster statistics. © 1990 American Institute of Physics.