UNIVERSALITY, THRESHOLDS AND CRITICAL EXPONENTS IN CORRELATED PERCOLATION

Correlated percolation models are systems where sites in a lattice are occupied randomly by a given species, and then species are removed (b ootstrap percolation) or added (diffusion percolation) according to th e site's environment. Results for critical concentrations and exponent s of bootstrap and diffusion site-percolation models are presented for the square and honeycomb lattices. Calculations are based on numerica l simulation results, and are consistent with universal exponents for random and correlated percolation in these lattices.