Abstract
We describe a two-dimensional correlated-percolation model, which we call annealed percolation. In annealed percolation, attractive interactions between near-neighbor occupied sites produce a structure reminiscent of discontinuous metal films. We have carefully determined the percolation threshold p c and four exponents for this model: the correlation-length exponent ν, the cluster-size-distribution exponent τ, the fractal dimension of the infinite cluster d f , and the electrical-conductivity exponent t. We find that all these exponents have the same values as in pure (uncorrelated) percolation. We also compute the electrical conductance G versus concentration p for this model and compare with the G vs p curves for pure-site and pure-bond percolation models
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