Square lattice site percolation thresholds for complex neighbourhoods

Details Square lattice site percolation thresholds for complex neighbourhoods Square lattice site percolation thresholds for complex neighbourhoods

2006-09-25

arxiv.org/abs/cond-mat/0609635v2

Acta Phys. Pol. B38 (2007) 2191

Physics

Condensed Matter

Statistical Mechanics

RevTeX4, 5 pages, 4 figures in 28 eps files

Scientific paper

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.

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