Higher connectivity in random mixtures = the universality class of 2-cluster percolation

J.A.M.S. Duarte and H.J. Ruskin

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 3, 423-442

Abstract: Higher connectivity percolation (site valence ⩾ 2) is considered for selected 2, 3, 4-dimensional lattices, by the method of exact series expansions. The set of critical exponents obtained from the perimeter-to-size ratio and the moments of the cluster size distribution favours the same universality class as for normal percolation. The animal statistics are found to be unaffected by the connectivity requirement and an “effective volume” influence is detected in the critical region for 2-dimensional lattices.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:3:p:423-442

DOI: 10.1016/0378-4371(82)90044-9

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