Scaling for domain growth in the Ising model with competing dynamics

TL;DR

This paper investigates the domain growth behavior in a one-dimensional kinetic Ising model with competing Glauber and Kawasaki dynamics, deriving analytical scaling functions and corrections to classical laws.

Contribution

It introduces a new analytical framework for the scaling of the structure factor in the Ising model with competing dynamics, including corrections to established laws.

Findings

Derived the scaling form of the structure factor with corrections

Calculated analytical scaling functions for nonconserved dynamics

Provided a correction to the Porod law at zero temperature

Abstract

We study the domain growth of the one-dimensional kinetic Ising model under the competing influence of Glauber dynamics at temperature T and Kawasaki dynamics with a configuration-independent rate. The scaling of the structure factor is shown to have the form for nonconserved dynamics with the corrections arising from the spin-exchange process, i.e., $S(k,t)=Lg_0(kL,t/\tau )+g_1(kL,t/\tau)+... $, and the corresponding scaling functions are calculated analytically. A correction to the Porod law at zero temperature is also given.