Fractal dimension and threshold properties in a spatially correlated percolation model

Autor:	Yang, Hongting, Zhang, Wen, Bray-Ali, Noah, Haas, Stephan
Rok vydání:	2009
Předmět:	Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Mesoscale and Nanoscale Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 5 pages, 3 figures, submitted version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.0104 Zobrazit plný text záznamu View this record from Arxiv