Anisotropy and percolation threshold in a multifractal support

Details Anisotropy and percolation threshold in a multifractal support Anisotropy and percolation threshold in a multifractal support

2003-08-14

arxiv.org/abs/cond-mat/0308291v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 $\rho$, 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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