CLUSTER-SIZE STATISTICS OF SITE-BOND-CORRELATED PERCOLATION MODELS

Citation
Pra. Campos et al., CLUSTER-SIZE STATISTICS OF SITE-BOND-CORRELATED PERCOLATION MODELS, Physical review. B, Condensed matter, 56(1), 1997, pp. 40-42
Citations number
12
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
56
Issue
1
Year of publication
1997
Pages
40 - 42
Database
ISI
SICI code
0163-1829(1997)56:1<40:CSOSPM>2.0.ZU;2-F
Abstract
We consider the cluster-size statistics of two types of site-bond-corr elated percolation. In model A (B) [see Phys. Rev. B 40, 10 986 (1989) ], the activation of a bond between two first-neighbor occupied sites is also dependent on the occupancy of both (either) of their own neare st neighbors, along the line joining them. The critical concentration for models A and Bt obtained from simulations on square lattices of si zes up to 2000x2000, is found to be 0.7405+/-0.0005 and 0.6145+/-0.000 5, respectively. The resulting critical exponents indicate that both m odels are in the same universality class as ordinary independent (site or bond) percolation.