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

TL;DR

This paper investigates the aging and stationary behaviors of a non-equilibrium three-state model with Potts symmetry, using Monte Carlo simulations to explore its phase diagram and critical properties.

Contribution

It introduces a non-equilibrium three-state model with Potts symmetry, analyzing its phase diagram and aging properties beyond equilibrium conditions.

Findings

The phase diagram includes a critical line in the three-state Potts universality class.

Aging behavior is studied at critical, voter, and ferromagnetic points.

The model exhibits a phase transition ending at a voter universality point.

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.