Dynamic critical properties of non-equilibrium Potts models with absorbing states

TL;DR

This paper investigates the dynamic critical behavior of non-equilibrium Potts models with absorbing states through extensive simulations, revealing diverse phase transition scenarios and transient properties.

Contribution

It introduces a comprehensive numerical analysis of non-equilibrium Potts models, highlighting various transition types and transient dynamics depending on model parameters.

Findings

Identification of voter critical point

Observation of discontinuous transition scenarios

Insights into transient properties of the models

Abstract

We present extensive numerical simulations of a family of non-equilibrium Potts models with absorbing states that allows for a variety of scenarios, depending on the number of spin states and the range of the spin-spin interactions. These scenarios encompass a voter critical point, a discontinuous transition as well as the presence of both a symmetry-breaking phase transition and an absorbing phase transition. While we also investigate standard steady-state quantities, our emphasis is on time-dependent quantities that provide insights into the transient properties of the models.