Definition of percolation thresholds on self-affine surfaces

S. J. Marrink*, Lincoln Paterson, Mark A. Knackstedt

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    We study the percolation transition on a two-dimensional substrate with long-range self-affine correlations. We find that the position of the percolation threshold on a correlated lattice is no longer unique and depends on the spanning rule employed. Numerical results are provided for spanning across the lattice in specified (horizontal or vertical), either or both directions.

    Original languageEnglish
    Pages (from-to)207-214
    Number of pages8
    JournalPhysica A: Statistical Mechanics and its Applications
    Issue number3
    Publication statusPublished - 1 Jun 2000


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