Fractal dimension and threshold properties in a spatially correlated percolation model

Details Fractal dimension and threshold properties in a spatially correlated percolation model Fractal dimension and threshold properties in a spatially correlated percolation model

2009-08-02

arxiv.org/abs/0908.0104v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, submitted version

Scientific paper

We consider the effects of spatial correlations in a two-dimensional site percolation model. By generalizing the Newman-Ziff Monte Carlo algorithm to include spatial correlations, percolation thresholds and fractal dimensions of percolation clusters are obtained. For a wide range of spatial correlations, the percolation threshold differs little from the uncorrelated result. In contrast, the fractal dimension differs sharply from the uncorrelated result for almost all types of correlation studied. We interpret these results in the framework of long-range correlated percolation.

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