Article

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

Journal of Statistical Mechanics Theory and Experiment (Impact Factor: 2.4). 12/2010; 2011(2). DOI: 10.1088/1742-5468/2011/02/P02018

Source: arXiv

**ABSTRACT**

We consider a non-equilibrium three-state model whose dynamics is Markovian

and displays the same symmetry as the three-state Potts model, i.e., the

transition rates are invariant under the permutation of the states. Unlike the

Potts model, detailed balance is in general not satisfied. The aging and the

stationary properties of the model defined 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 Potts universality

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

ferromagnetic phase.

and displays the same symmetry as the three-state Potts model, i.e., the

transition rates are invariant under the permutation of the states. Unlike the

Potts model, detailed balance is in general not satisfied. The aging and the

stationary properties of the model defined 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 Potts universality

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

ferromagnetic phase.

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