Phase transitions in a two-component site-bond percolation model

A method for analyzing a N-component percolation model in terms of one parameter p(+) is presented. In Monte Carlo simulations on 16(3), 32(3), 64(3), and 128(3) simple cubic lattices the percolation threshold p(+)(c), is determined for N=2. Continuous transitions of p(+)(c) are reported in two limits for the bond existence probabilities p(=) and p(not equal). In the same limits, empirical formulas for the percolation threshold p(+)(c) as a function of one-component concentration fb are proposed and links to existing percolation models are established. In the limit p(=)=0 a different site percolation model is proposed and its threshold, f(b)(c)similar or equal to 0.145, is reported.