Aging and stationary properties of non-equilibrium symmetrical three-state models

Abstract

We consider a non-equilibrium three-state model whose dynamics is Markovian anddisplays the same symmetry as the three-state Potts model, i.e. the transition rates areinvariant under the cyclic permutation of the states. Unlike the Potts model, detailedbalance is, in general, not satisfied. The aging and the stationary properties of the modeldefined on a square lattice are obtained by means of large-scale Monte Carlo simulations.We show that the phase diagram presents a critical line, belonging to the three-state Pottsuniversality class, that ends at a point whose universality class is that of the Voter model.Aging is considered on the critical line, at the Voter point and in the ferromagneticphase.