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    Directed compact percolation near a damp wall with biased growth

    Access Status
    Fulltext not available
    Authors
    Lonsdale, Heather
    Owczarek, A.
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Lonsdale, H. and Owczarek, A. 2012. Directed compact percolation near a damp wall with biased growth. Journal of Statistical Mechanics: Theory and Experiment. 2012 (11).
    Source Title
    Journal of Statistical Mechanics: Theory and Experiment
    DOI
    10.1088/1742-5468/2012/11/P11001
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/4321
    Collection
    • Curtin Research Publications
    Abstract

    The model of directed compact percolation near a damp wall is generalized to allow for a bias in the growth of a cluster, either towards or away from the wall. The percolation probability for clusters beginning with seed width m, any distance from the wall, is derived exactly by solving the associated recurrences. It is found that the general biased case near a damp wall leads to a critical exponent ß=1, in line with the dry biased case, which differs from the unbiased damp/dry exponent ß=2. © 2012 IOP Publishing Ltd and SISSA Medialab srl.

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