Journal article

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

Abstract

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.

University of Melbourne Researchers

Grants

Funding Acknowledgements

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.