Fractal dimension and threshold properties in a spatially correlated percolation model
Disordered Systems and Neural Networks
2009-08-09 v2 Mesoscale and Nanoscale Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0908.0104,
title = {Fractal dimension and threshold properties in a spatially correlated percolation model},
author = {Hongting Yang and Wen Zhang and Noah Bray-Ali and Stephan Haas},
journal= {arXiv preprint arXiv:0908.0104},
year = {2009}
}
Comments
5 pages, 3 figures, submitted version