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Random cluster model on a Cayley tree

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Zeitschrift für Physik B Condensed Matter

Abstract

The random cluster model of Kasteleyn and Fortuin, which comprises the Ashkin-Teller-Potts model, the Ising model and the bond percolation problem, is solved on a Cayley tree. The solution is discussed both on a whole tree including the surface and in the interior of a tree. Emphasis is put on including several external fields into the model. Phase transitions and phase diagrams are investigated extensively.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln 41, Federal Republic of Germany

    H. G. Baumgärtel & E. Müller-Hartmann

Authors
  1. H. G. Baumgärtel
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  2. E. Müller-Hartmann
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Baumgärtel, H.G., Müller-Hartmann, E. Random cluster model on a Cayley tree. Z. Physik B - Condensed Matter 46, 227–235 (1982). https://doi.org/10.1007/BF01360299

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  • DOI: https://doi.org/10.1007/BF01360299

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