Dynamical Properties of Random Field Ising Model

TL;DR

This paper investigates how disorder affects the dynamical properties of a 2D random field Ising model through Monte Carlo simulations, revealing power-law scaling and the dominance of pinning interactions over exchange interactions in most cases.

Contribution

It provides new insights into the non-equilibrium dynamics of disordered spin systems, especially regarding domain growth and order parameter evolution under varying disorder.

Findings

Domain growth follows power-law scaling with disorder-dependent exponents.

Exchange interactions generally cannot overcome pinning interactions to establish long-range order.

Disorder significantly influences the dynamical evolution of the system.

Abstract

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the domain growth, the order parameter and spin-spin correlation functions are studied in the non equilibrium regime. The dynamical evolution of the order parameter and the domain growth shows a power law scaling with disorder-dependent exponents. It is observed that, except for very small random fields, exchange interaction never wins over pinning interaction to establish long range order.