Anisotropy and percolation threshold in a multifractal support
Statistical Mechanics
2015-06-24 v1
Abstract
Recently a multifractal object, , was proposed to study percolation properties in a multifractal support. The area and the number of neighbors of the blocks of show a non-trivial behavior. The value of the probability of occupation at the percolation threshold, , is a function of , a parameter of which is related to its anisotropy. We investigate the relation between and the average number of neighbors of the blocks as well as the anisotropy of .
Cite
@article{arxiv.cond-mat/0308291,
title = {Anisotropy and percolation threshold in a multifractal support},
author = {L. S. Lucena and J. E. Freitas and G. Corso and R. F. Soares},
journal= {arXiv preprint arXiv:cond-mat/0308291},
year = {2015}
}