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 (bootstrap percolation) or added (diffusion percolation) according to the site's environment. Results for critical concentrations and exponents of bootstrap and diffusion site-percolation models are presented for the square and honeycomb lattices. Calculations are based on numerical simulation results, and are consistent with universal exponents for random and correlated percolation in these lattices.