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Higher connectivity in random mixtures = the universality class of 2-cluster percolation

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  • Duarte, J.A.M.S.
  • Ruskin, H.J.

Abstract

Higher connectivity percolation (site valence ⩾ 2) is considered for selected 2, 3, 4-dimensional lattices, by the method of exact series expansions. The set of critical exponents obtained from the perimeter-to-size ratio and the moments of the cluster size distribution favours the same universality class as for normal percolation. The animal statistics are found to be unaffected by the connectivity requirement and an “effective volume” influence is detected in the critical region for 2-dimensional lattices.

Suggested Citation

  • Duarte, J.A.M.S. & Ruskin, H.J., 1982. "Higher connectivity in random mixtures = the universality class of 2-cluster percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(3), pages 423-442.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:3:p:423-442
    DOI: 10.1016/0378-4371(82)90044-9
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    1. Kirkpatrick, Samuel A., 1976. "A Mathematical Theory of Social Change. By Robert L. Hamblin, R. Brooke Jacobsen, and Jerry L. L. Miller. (New York: John Wiley and Sons, 1973. Pp. 231. $12.50.)," American Political Science Review, Cambridge University Press, vol. 70(1), pages 202-202, March.
    2. Domberger, Simon, 1980. "Price Dynamics and Industrial Structure in the U.K.: An Input-Output Analysis," The Manchester School of Economic & Social Studies, University of Manchester, vol. 48(3), pages 284-306, September.
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