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Irreversible stochastic dynamics with Potts symmetry

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  • Brunstein, A.
  • Tomé, T.

Abstract

We consider an interacting particle system residing in the sites of a regular lattice and evolving according to a stochastic dynamics. Our dynamics is constituted by Markovian processes which possess the same symmetries of the three-state Potts model. Each site of the lattice can be in three states and the local rules comprehends interactions between first neighbors which depend on a parameter p. Performing numerical simulation we observed that the model exhibits a phase transition as the parameter p is varied. We also analyze the universal character of this nonequilibrium phase transition.

Suggested Citation

  • Brunstein, A. & Tomé, T., 1998. "Irreversible stochastic dynamics with Potts symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 257(1), pages 334-340.
    • Handle: RePEc:eee:phsmap:v:257:y:1998:i:1:p:334-340
    DOI: 10.1016/S0378-4371(98)00155-1
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    Keywords

    Irreversibility; Stochastic process;

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