A CORRELATED MAJORITY MODEL

Citation
Gj. Sibona et al., A CORRELATED MAJORITY MODEL, Physica. A, 214(1), 1995, pp. 1-8
Citations number
9
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
214
Issue
1
Year of publication
1995
Pages
1 - 8
Database
ISI
SICI code
0378-4371(1995)214:1<1:ACMM>2.0.ZU;2-8
Abstract
We extend and solve analytically a bichromatic majority model includin g color correlation between nearest neighbor plaquettes. The behaviour of the one color, say black, dominant cluster size is studied as a fu nction of the black concentration and the correlation degree. This mea n value shows a divergence with a critical exponent nu. We also define an order parameter in for the model whose critical exponent is beta. We find nu = beta = 1 independent of the correlation degree. We presen t a Monte Carlo simulation of the process which gives a good agreement with the theoretical results.