Abstract
Invasion percolation ~IP! with trapping was studied on two-dimensional substrates with a correlated distribution of invasion thresholds. The correlations were induced by using the heights of ~211!-dimensional self-affine rough surfaces with Hurst exponents in the range 0,H,1 to assign the threshold values. The resulting IP clusters consist of ‘‘blobs’’ with sizes up to the entire cluster size that are connected by fine ‘‘threads.’’ The fractal dimensionality DH of the IP clusters is dominated by the blobs. The blob size distribution is is related to H and DH . @S1063-651X~97!11401-5#
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