Phase transitions in a two-component site-bond percolation model

Citation
Hm. Harreis et W. Bauer, Phase transitions in a two-component site-bond percolation model, PHYS REV B, 62(13), 2000, pp. 8719-8724
Citations number
21
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
01631829 → ACNP
Volume
62
Issue
13
Year of publication
2000
Pages
8719 - 8724
Database
ISI
SICI code
0163-1829(20001001)62:13<8719:PTIATS>2.0.ZU;2-0
Abstract
A method for analyzing a N-component percolation model in terms of one para meter p(+) is presented. In Monte Carlo simulations on 16(3), 32(3), 64(3), and 128(3) simple cubic lattices the percolation threshold p(+)(c), is det ermined for N=2. Continuous transitions of p(+)(c) are reported in two limi ts for the bond existence probabilities p(=) and p(not equal). In the same limits, empirical formulas for the percolation threshold p(+)(c) as a funct ion of one-component concentration fb are proposed and links to existing pe rcolation models are established. In the limit p(=)=0 a different site perc olation model is proposed and its threshold, f(b)(c)similar or equal to 0.1 45, is reported.