Nonequilibrium phase transitions in isotropic Ashkin-Teller Model

TL;DR

This paper investigates the nonequilibrium phase transitions and hysteresis behavior of the isotropic Ashkin-Teller model under a periodically oscillating magnetic field using mean field approximation.

Contribution

It introduces a dynamic mean field approach to analyze phase diagrams and hysteresis loops in the isotropic Ashkin-Teller model under oscillating magnetic fields.

Findings

Identification of different dynamical phases

Phase diagrams illustrating transition boundaries

Characterization of hysteresis loop behaviors

Abstract

Dynamic behaviour of an isotropic Ashkin-Teller model in the presence of a periodically oscillating magnetic field has been analysed by means of the mean field approximation. The dynamic equation of motion has been constructed with the help of a Glauber type stochastic process and solved for a square lattice. After defining the possible dynamical phases of the system, phase diagrams have been given and the behaviour of the hysteresis loops has been investigated in detail. The hysteresis loop for specific order parameter of isotropic Ashkin-Teller model has been defined and characteristics of this loop in different dynamical phases have been given.