Scaling for domain growth in the Ising model with competing dynamics

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.