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Some AB-percolation problems in the antiferromagnetic potts model

Author

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  • Peruggi, Fulvio
  • di Liberto, Francesco
  • Monroy, Gabriella

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.

Suggested Citation

  • Peruggi, Fulvio & di Liberto, Francesco & Monroy, Gabriella, 1984. "Some AB-percolation problems in the antiferromagnetic potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(1), pages 175-190.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:1:p:175-190
    DOI: 10.1016/0378-4371(84)90110-9
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    Cited by:

    1. Peruggi, Fulvio, 1987. "First-order transitions in percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 140-150.
    2. Peruggi, Fulvio & di Liberto, Francesco & Monroy, Gabriella, 1987. "Phase diagrams of the q-state potts model on Bethe lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 151-186.

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