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The potts model on bethe lattices

II. Special topics

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We analyze the properties of theq-state ferromagnetic Potts model for realq. The nature of the phase transition at the critical point is first-order forq≠2, and second-order forq=2. The random-bond percolation limitq→1, and its second-order-like transition, are not related to the previous behaviour since they arise from non-stable phases of the system. It is suggested that this property characterizes the model on high-dimensional lattices, too.

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Author notes

  1. F. di Liberto & G. Monroy

    Present address: INFN, sezione di Napoli, Napoli, Italy

  2. F. Peruggi

    Present address: Unità di Napoli, CISM AND GNSM, Napoli, Italy

Authors and Affiliations

  1. Dipartimento di Fisica dell'Unversità di Napoli, Mostra d'Oltremare pad. 19, I-80125, Napoli, Italy

    F. di Liberto, G. Monroy & F. Peruggi

Authors
  1. F. di Liberto
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  2. G. Monroy
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  3. F. Peruggi
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Supported by MPI and CNR

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di Liberto, F., Monroy, G. & Peruggi, F. The potts model on bethe lattices. Z. Physik B - Condensed Matter 66, 379–385 (1987). https://doi.org/10.1007/BF01305430

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  • DOI: https://doi.org/10.1007/BF01305430

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