Square lattice site percolation thresholds for complex neighbourhoods
Statistical Mechanics
2007-06-13 v2
Abstract
In this paper we compute the square lattice random sites percolation thresholds in case when sites from the 4th and the 5th coordination shells are included for neighbourhood. The obtained results support earlier claims, that (a) the coordination number and the space dimension are insufficient for building universal formulae for percolation thresholds and (b) that percolation threshold may not decrease monotonically with lattice site coordination number.
Keywords
Cite
@article{arxiv.cond-mat/0609635,
title = {Square lattice site percolation thresholds for complex neighbourhoods},
author = {M. Majewski and K. Malarz},
journal= {arXiv preprint arXiv:cond-mat/0609635},
year = {2007}
}
Comments
RevTeX4, 5 pages, 4 figures in 28 eps files