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Correlated percolation and a sublattice-dilute potts model at T→0

Chiu-Kun Hu

Physica A: Statistical Mechanics and its Applications, 1982, vol. 116, issue 1, 265-271

Abstract: It is shown that a sublattice-dilute q-state Potts model at T→0 is equivalent to a correlated percolation which favours subgraphs with larger numbers of disconnected finite clusters. The Syozi model at T→ is equivalent to the above model with q = 2 in the same limit and thus corresponds to the same correlated percolation. A table is listed, which reflects the influence of correlation on critical probabilities for such correlated percolation processes on some lattices.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:116:y:1982:i:1:p:265-271

DOI: 10.1016/0378-4371(82)90243-6

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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