Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall
JW Essam, H Lonsdale, AL Owczarek
JOURNAL OF STATISTICAL PHYSICS | SPRINGER | Published : 2011
The mean length of finite clusters is derived exactly for the case of directed compact percolation near a damp wall. We find that the result involves elliptic integrals and exhibits similar critical behaviour to the dry wall case. © 2011 Springer Science+Business Media, LLC.
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Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems is gratefully acknowledged by the authors. JWE would like to thank Professor Domb for introducing him to percolation theory when he was a postgraduate at King's College London.