Critical behavior for mixed site-bond directed percolation

Details Critical behavior for mixed site-bond directed percolation Critical behavior for mixed site-bond directed percolation

1995-05-04

arxiv.org/abs/cond-mat/9505019v1

Physics

Condensed Matter

10 pages, figures available on request from alex@cc.mech.tohoku.ac.jp

Scientific paper

10.1088/0305-4470/28/14/017

We study mixed site-bond directed percolation on 2D and 3D lattices by using time-dependent simulations. Our results are compared with rigorous bounds recently obtained by Liggett and by Katori and Tsukahara. The critical fractions $p_{site}^c$ and $p_{bond}^c$ of sites and bonds are extremely well approximated by a relationship reported earlier for isotropic percolation, $(\log p_{site}^c/\log p_{site}^{c^*}+\log p_{bond}^c/\log p_{bond}^{c^*} = 1) $, where $p_{site}^{c^*}$ and $p_{bond}^{c^*}$ are the critical fractions in pure site and bond directed percolation.

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