Critical behavior of a four-state irreversible model with Potts symmetry

We analyze the critical behavior of a two-dimensional if reversible cellular automaton whose dynamic rules are invariant under the same symmetry operations as those of the three-state Potts model. We study the dynamical phase transitions that take place in the model and obtain the static and dynamical critical exponents through Monte Carlo simulations. Our results indicate that the present model is in the same universality class as the three-state Potts model.