Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall

Essam, J.; Lonsdale, Heather; Owczarek, A.

doi:10.1007/s10955-011-0317-5

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Authors

Essam, J.

Lonsdale, Heather

Owczarek, A.

Date

2011

Type

Journal Article

Metadata

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Citation

Essam, J. and Lonsdale, H. and Owczarek, A. 2011. Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall. Journal of Statistical Physics. 145 (3): pp. 639-646.

Source Title

Journal of Statistical Physics

DOI

10.1007/s10955-011-0317-5

ISSN

0022-4715

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/29151

Collection

Curtin Research Publications

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.