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

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.

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Veröffentlicht in:Journal of statistical physics 2011-11, Vol.145 (3), p.639-646
Hauptverfasser: Essam, J. W., Lonsdale, H., Owczarek, A. L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-011-0317-5