Percolation of randomly centered rods and spheres (original) (raw)

Journal of Mathematical Chemistry, 1991

Abstract

The percolation properties of randomly centered rods and spheres are studied. The approach is based on the detailed study of frequencies of cluster occurrences. For random rods, the analytic expressions are derived for all cluster frequencies. It is then shown that one-dimensional systems of random rods exhibit critical behaviour with?c = 8,? = 1. For randomly centered spheres, we designed

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