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Dynamics-dependent criticality in models with q absorbing states

A. Lipowski·M. Droz
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Abstract

We study a one-dimensional, nonequilibrium Potts-like model which has $q$ symmetric absorbing states. For $q=2$, as expected, the model belongs to the parity conserving universality class. For $q=3$ the critical behaviour depends on the dynamics of the model. Under a certain dynamics it remains generically in the active phase, which is also the feature of some other models with three absorbing states. However, a modified dynamics induces a parity conserving phase transition. Relations with branching-annihilating random walk models are discussed in order to explain such a behaviour.

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A. Lipowski, M. Droz. 2002-05-25. Dynamics-dependent criticality in models with q absorbing states. https://doi.org/10.1103/physreve.66.016106

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