VORONOI STATISTICS OF HARD-CORE SYSTEMS

Monte Carlo simulation studies of hard-core disks are used to generate Voronoi edge-length and cell-area statistics of non-Poisson point tesselations. The well-established empirical relationship, which seems to hold for most networks, that the average number of sides of neighbors of n-sided cells m(n) = 6 - a + (6a + c)/n is verified for hard-disk systems with packing fractions ranging from 0.49 to 0.82. The results presented here are consistent with c = mu-2 but not with a = 6-alpha. The cell-area distributions for these systems, and in particular the gamma-quantiles A5 and A95, are compared with recently published data for hard-core systems with packing fractions up to 0.22.