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A correlated majority model

Author

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

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.

Suggested Citation

  • Sibona, G.J. & Budde, C.E. & Prato, D., 1995. "A correlated majority model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(1), pages 1-8.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:1:p:1-8
    DOI: 10.1016/0378-4371(94)00204-7
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    References listed on IDEAS

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    1. Prato, Domingo P. & Budde, Carlos E. & Lamfri, Mario A., 1994. "An exactly solvable majority model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 581-586.
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