Nonequlibrium phase transition in the kinetic Ising model: Dynamical symmetry breaking by randomly varying magnetic field

TL;DR

This paper investigates a nonequilibrium phase transition in the 2D kinetic Ising model caused by a randomly varying magnetic field, revealing how the average magnetization depends on field randomness and temperature through simulations and mean field analysis.

Contribution

It introduces a combined Monte Carlo and mean field approach to study the dynamic phase transition under random magnetic fields in the kinetic Ising model.

Findings

Time-averaged magnetization vanishes depending on field width and temperature.

Phase boundary lines are mapped in the field width-temperature plane.

Abstract

The nonequilibrium dynamic phase transition, in the two dimensional kinetic Ising model in presence of a randomly varying (in time but uniform in space) magnetic field, has been studied both by Monte Carlo simulation and by solving the mean field dynamic equation of motion for the average magnetisation. In both the cases, the time averaged magnetisation vanishes from a nonzero value depending upon the values of the width of randomly varying field and the temperature. The phase boundary lines are drawn in the plane formed by the width of the random field and the temperature.