Some AB-percolation problems in the antiferromagnetic potts model

Fulvio Peruggi, Francesco di Liberto and Gabriella Monroy

Physica A: Statistical Mechanics and its Applications, 1984, vol. 123, issue 1, 175-190

Abstract: The AB-correlated-site/random-bond percolation problem in a q-state antiferromagnetic Potts model on Bethe lattices is solved. We find the analytic expression of the AB-percolation characteristic functions in terms of the temperature, the external field and the active bond concentration pB. The AB-threshold and the phase boundary of the system coincide at zero temperature and at most in two other points for every constant pB > 1⧸σ. The properties of the Bethe lattice allow us to find the temperature dependent pB which defines the AB-droplets, i.e. those special AB-clusters which diverge with thermal exponents along the phase boundary.

Date: 1984
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:123:y:1984:i:1:p:175-190

DOI: 10.1016/0378-4371(84)90110-9

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