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Finite Size Scaling for Percolation on Elongated Lattices in Two and Three Dimensions

Marrink, S; Knackstedt, Mark

Description

Shifting of percolation threshold of an elongated lattice towards higher values is shown by the statistical arguments. The scaling behavior of the lattices is confirmed by the Monte carlo simulations. The density of the incipient cluster at the percolation threshold scales differs in both two and three dimensions. Percolation probability in the elongated geometry depends on the aspect ratio of the lattice. In three dimensions, the connection probability is smaller than the percolation...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
URI: http://hdl.handle.net/1885/89528
Source: Physical Review E
DOI: 10.1103/PhysRevE.62.3205

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