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Anisotropy and percolation threshold in a multifractal support

L. S. Lucena·J. E. Freitas·G. Corso·R. F. Soares
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Abstract

Recently a multifractal object, $Q_{mf}$, was proposed to study percolation properties in a multifractal support. The area and the number of neighbors of the blocks of $Q_{mf}$ show a non-trivial behavior. The value of the probability of occupation at the percolation threshold, $p_{c}$, is a function of $ρ$, a parameter of $Q_{mf}$ which is related to its anisotropy. We investigate the relation between $p_{c}$ and the average number of neighbors of the blocks as well as the anisotropy of $Q_{mf}$.

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L. S. Lucena, J. E. Freitas, G. Corso, R. F. Soares. 2003-08-14. Anisotropy and percolation threshold in a multifractal support. https://doi.org/10.1590/s0103-97332003000300030

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