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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK

    J. W. Essam

  2. Department of Mathematics and Statistics, The University of Melbourne, Melbourne, Victoria, 3010, Australia

    H. Lonsdale & A. L. Owczarek

Authors
  1. J. W. Essam
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  2. H. Lonsdale
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  3. A. L. Owczarek
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Correspondence to A. L. Owczarek.

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Essam, J.W., Lonsdale, H. & Owczarek, A.L. Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall. J Stat Phys 145, 639–646 (2011). https://doi.org/10.1007/s10955-011-0317-5

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  • DOI: https://doi.org/10.1007/s10955-011-0317-5

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