Mean number of clusters for percolation processes in two dimensions

Abstract

Uses a transformation suggested recently by Zwanzig and Ramshaw (1976) on the series expansion for the mean number of clusters in the square bond and triangular site percolation problems. The new series are smooth and well behaved, and the authors estimate critical exponents and amplitudes. A value of -0.668+or-0.004 is found for the exponent alpha _P, which is close to the rational fraction -2/3.