UNIVERSALITY AND CLUSTER STRUCTURES IN CONTINUUM MODELS OF PERCOLATION WITH 2 DIFFERENT RADIUS DISTRIBUTIONS

The percolation thresholds and the fractal cluster structures for cont inuum models of percolation with uniform (CM1) and variable radius (CM 2) distributions of discs and spheres are investigated and compared wi th the results of ordinary lattice percolation. Configurations of up t o 250 000 discs (2 dimensions) and 1 00 000 spheres (3 dimensions) are numerically simulated. In two dimensions we find distinctly different percolation concentrations for models CM1 and CM2. In the three-dimen sional systems the percolation concentrations for both models cannot b e distinguished within our limits of accuracy. The fractal dimensions of the cluster hull, surface and volume are the same as in the corresp onding lattice models. The Harris criterion for the continuum percolat ion problem is confirmed by our simulation.