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Percolation Properties And Universality Class Of A Multifractal Random Tiling

Author

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  • M. G. PEREIRA

    (International Center for Complex Systems and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário 59078 970, Natal, RN, Brazil)

  • G. CORSO

    (International Center for Complex Systems and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário 59078 970, Natal, RN, Brazil;
    Departamento de Biofísica, Centro de Biociências, Universidade Federal do Rio Grande do Norte, Campus Universitário 59072 970, Natal, RN, Brazil)

  • L. S. LUCENA

    (International Center for Complex Systems and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário 59078 970, Natal, RN, Brazil)

  • J. E. FREITAS

    (International Center for Complex Systems and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário 59078 970, Natal, RN, Brazil)

Abstract

We study percolation as a critical phenomenon on a random multifractal support. The scaling exponent β related to the mass of the infinite cluster and the fractal dimension of the percolating clusterdfare quantities that have the same value as the ones from the standard two-dimensional regular lattice percolation. The scaling exponent ν related to the correlation length is sensitive to the local anisotropy and assumes a value different from standard percolation. We compare our results with those obtained from the percolation on a deterministic multifractal support. The analysis of ν indicates that the deterministic multifractal is more anisotropic than the random multifractal. We also analyze connections with correlated percolation problems and discuss some possible applications.

Suggested Citation

  • M. G. Pereira & G. Corso & L. S. Lucena & J. E. Freitas, 2005. "Percolation Properties And Universality Class Of A Multifractal Random Tiling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 317-325.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:02:n:s0129183105007121
    DOI: 10.1142/S0129183105007121
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