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Phase transitions in nonequilibrium d-dimensional models with q absorbing states

A. Lipowski·M. Droz
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Abstract

A nonequilibrium Potts-like model with $q$ absorbing states is studied using Monte Carlo simulations. In two dimensions and $q=3$ the model exhibits a discontinuous transition. For the three-dimensional case and $q=2$ the model exhibits a continuous, transition with $β=1$ (mean-field). Simulations are inconclusive, however, in the two-dimensional case for $q=2$. We suggest that in this case the model is close to or at the crossing point of lines separating three different types of phase transitions. The proposed phase diagram in the $(q,d)$ plane is very similar to that of the equilibrium Potts model. In addition, our simulations confirm field-theory prediction that in two dimensions a branching-annihilating random walk model without parity conservation belongs to the directed percolation universality class.

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A. Lipowski, M. Droz. 2002-02-26. Phase transitions in nonequilibrium d-dimensional models with q absorbing states. https://doi.org/10.1103/physreve.65.056114

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