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Continuous phase transition in a disordered eight-states Potts model

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The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract:

We investigate the two-dimensional eight-states ferromagnetic Potts model in the Voronoi-Delaunay tessellation. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as , with . The disordered system is simulated applying the single-cluster Monte-Carlo update algorithm and the reweighting technique. We find that this model displays a first-order phase transition if , in agreement with previous recent studies. For and 1.0, a typical second order transition is observed and the critical exponents for magnetization and susceptibility are calculated.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Ceará, Fortaleza-CE, Brazil, , , , , , BR

    F.W.S. Lima, J.E. Moreira, J.S. Andrade Jr. & U.M.S. Costa

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  1. F.W.S. Lima
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  2. J.E. Moreira
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  3. J.S. Andrade Jr.
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  4. U.M.S. Costa
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Received 19 May 1999 and Received in final form 2 June 1999

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Lima, F., Moreira, J., Andrade Jr., J. et al. Continuous phase transition in a disordered eight-states Potts model. Eur. Phys. J. B 13, 107–110 (2000). https://doi.org/10.1007/s100510050015

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  • DOI: https://doi.org/10.1007/s100510050015

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