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Propagation of order in the dilute antiferromagnetic three-state Potts model

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Abstract

A recent analysis of the propagation of order in a dilute 3-state Potts antiferromagnetic model on a triangular lattice at zero temperature by Adleret al. has shown the importance of nonlocality in the propagation of order. We study a linearized continuous version of this model, which can be mapped onto three independent percolation problems. We discuss the respective roles of nonlocality and nonlinearity, in particular in connection with central-force percolation.

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Author notes

  1. Alex Hansen

    Present address: Institut für Theoretische Physik, Universität Köln, D-5000, Köln 41, West Germany

Authors and Affiliations

  1. Laboratoire d'Hydrodynamique et Mécanique Physique, U.R.A. CNRS 857, Ecole Supérieure de Physique et Chimie Industrielles, F-75231, Paris Cédex 05, France

    Stéphane Roux, Alex Hansen & Etienne Guyon

Authors
  1. Stéphane Roux
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  2. Alex Hansen
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  3. Etienne Guyon
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Roux, S., Hansen, A. & Guyon, E. Propagation of order in the dilute antiferromagnetic three-state Potts model. J Stat Phys 55, 341–350 (1989). https://doi.org/10.1007/BF01042604

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  • DOI: https://doi.org/10.1007/BF01042604

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