A correlated majority model

G.J. Sibona, C.E. Budde and D. Prato

Physica A: Statistical Mechanics and its Applications, 1995, vol. 214, issue 1, 1-8

Abstract: We extend and solve analytically a bichromatic majority model including color correlation between nearest neighbor plaquettes. The behaviour of the one color, say black, dominant cluster size is studied as a function of the black concentration and the correlation degree. This mean value shows a divergence with a critical exponent v. We also define an order parameter m for the model whose critical exponent is β. We find v = β = 1 independent of the correlation degree. We present a Monte Carlo simulation of the process which gives a good agreement with the theoretical results.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:214:y:1995:i:1:p:1-8

DOI: 10.1016/0378-4371(94)00204-7

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