Site-bond percolation of polyatomic species.
Identifieur interne : 002E77 ( Main/Exploration ); précédent : 002E76; suivant : 002E78Site-bond percolation of polyatomic species.
Auteurs : M. Dolz [Argentine] ; F. Nieto ; A J Ramirez-PastorSource :
- Physical review. E, Statistical, nonlinear, and soft matter physics [ 1539-3755 ] ; 2005.
Abstract
A generalization of the classical monomer site-bond percolation problem is studied in which linear k-uples of nearest neighbor sites (site k-mers) and linear k-uples of nearest neighbor bonds (bond k-mers) are independently occupied at random on a square lattice. We called this model the site-bond percolation of polyatomic species or k-mer site-bond percolation. Motivated by considerations of cluster connectivity, we have used two distinct schemes (denoted as S intersection of B and S union of B) for k-mer site-bond percolation. In S intersection of B(S union of B), two points are said to be connected if a sequence of occupied sites and (or) bonds joins them. By using Monte Carlo simulations and finite-size scaling theory, data from S intersection of B and S union of B are analyzed in order to determine the critical curves separating the percolating and nonpercolating regions.
DOI: 10.1103/PhysRevE.72.066129
PubMed: 16486032
Affiliations:
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