Connectedness and clustering of two-phase disordered media for adhesive sphere model

Abstract

We present computer simulation results of the pair-connectedness function and the two-point cluster function for random media, consisted of equisized particles of adhesive sphere model. The pair-connectedness function P(r1,r2) is defined as that the quantity ρ2 P(r1,r2)dr1 dr2 represents the probability of finding two particles centered in the volume elements dr1 and dr2 about r1 and r2, respectively, and are physically connected. On the other hand, the two-point cluster function C2(r1,r2) gives the probability of finding two points at positions r1 and r2, in the same cluster of one of the phases. Data are compared with the analytical results from the Percus–Yevick (PY) approximation. In low densities, Monte Carlo data reasonably agree with the PY approximation results, while in high densities near percolation thresholds, data significantly deviate from the analytical results.