Characterization of kinetic coarsening in a random-field Ising model

TL;DR

This paper investigates the nonequilibrium relaxation and kinetic coarsening in a 2D random field Ising model, proposing a generalized scaling relation supported by numerical data that reveals different scaling behaviors over time.

Contribution

It introduces a new generalized scaling relation for kinetic coarsening in the random field Ising model, validated by numerical data showing multiple time regime behaviors.

Findings

Successful data collapse of dynamical quantities

Identification of different scaling regimes for domain size

Support for the proposed generalized scaling relation

Abstract

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities that characterize the kinetic coarsening. We provide a simple generalized scaling relation of coarsening supported by numerical results. The excellent data collapse of the dynamical quantities justifies our proposition. The scaling relation corroborates the recent observation that the average linear domain size satisfies different scaling behavior in different time regimes.