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    Surface fractal dimension for percolation clusters: A Monte Carlo study

    T. Lookman

    K. De’Bell

    • Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7

    • Physics Department, Trent University, Peterborough, Ontario, Canada K9J 7B8

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    Phys. Rev. B 46, 5721 – Published 1 September, 1992

    DOI: https://doi.org/10.1103/PhysRevB.46.5721

    Abstract

    Monte Carlo methods have been used to determine the fractal dimension which characterizes the intersection of percolation clusters with the lattice surface at the critical point. A comparison is made with earlier exact enumeration results. In two dimensions surface scaling laws for cluster statistics have been directly verified.

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    Phys. Rev. B 46, 5721– Published 1 September, 1992
    • Received 11 February 1992

    © 1992 American Physical Society

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