Nonequilibrium phase transition in a driven Potts model with friction

TL;DR

This paper investigates nonequilibrium phase transitions in a driven Potts model with friction, revealing complex transition behaviors depending on equilibrium phase transition types, through analytical and Monte Carlo methods.

Contribution

It introduces a detailed analysis of nonequilibrium phase transitions in a driven Potts model, including analytical solutions at infinite velocity and Monte Carlo simulations at finite velocities.

Findings

Exotic nonequilibrium phase transitions occur depending on the equilibrium transition type.

A sequence of second- and first-order nonequilibrium transitions is observed.

The properties of these transitions depend on the nature of the equilibrium phase transition.

Abstract

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and the system is in a steady state which is far from equilibrium. The problem is treated analytically in the limit $v=\infty$ (in one dimension, as well as in two dimensions for large-$q$ values) and for $v$ and $q$ finite by Monte Carlo simulations in two dimensions. Exotic nonequilibrium phase transitions take place, the properties of which depend on the type of phase transition in equilibrium. When this latter transition is of first order, a sequence of second- and first-order nonequilibrium transitions can be observed when the interaction is varied.