Stationary Properties of a Randomly Driven Ising Ferromagnet

TL;DR

This paper investigates the stationary behavior of a ferromagnetic Ising model under a rapidly changing random external field, revealing a novel phase transition and analyzing its robustness beyond mean-field theory.

Contribution

It introduces an analytic mean-field framework for understanding the stationary states and phase transitions in a randomly driven Ising ferromagnet, supported by Monte Carlo simulations.

Findings

Identification of a new first order phase transition related to dynamic freezing

Mean-field results suggest the transition persists with fluctuations

Monte Carlo simulations confirm many mean-field features

Abstract

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. Analytic results for the stationary state are presented in mean-field approximation, exhibiting a novel type of first order phase transition related to dynamic freezing. Monte Carlo simulations performed on a quadratic lattice indicate that many features of the mean field theory may survive the presence of fluctuations.