Dependence of the percolation threshold on the size of the percolating species

V Cornette, A.j Ramirez-Pastor and F Nieto

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 71-75

Abstract: Site and bond percolation of k-mers of different structures and forms deposited on 2-D regular lattices is studied. In addition, the percolation threshold for percolating k-mers on a Bethe lattice is analytically obtained. By using finite-size scaling theory, the analysis of the results is performed in order to determine the behavior of the percolation threshold which exhibits an exponential decrease with the k-mer size. Characteristic parameters of that function are dependent not only on the form and structure of k-mers but also on the properties of the lattice where they are deposited. An expression for the percolation threshold as a function of the parameters of the problem is proposed and discussed.

Keywords: Percolation; Multisite occupancy; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:71-75

DOI: 10.1016/S0378-4371(03)00453-9

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