Abstract

Site percolation on the quadratic lattice is studied in the presence of nearest-neighbour correlations. Firstly, in the presence of strong negative correlations the critical percolation probability is determined by relating it to an uncorrelated site percolation problem, with the result p c(−∞) = 0.705 ± 0.005. Secondly, the dependence of the critical probability upon the interaction is determined by a real-space renormalization method.

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