Temperature Dependence of Domain Kinetics in Two Dimensions

Abstract

Monte Carlo simulations have been carried out to study the effect of temperature on the growth kinetics of a circular grain. As predicted by $d=3$ theories of domain kinetics, the circular domain shrinks linearly with time as $A(t)={A}_{0}\ensuremath{-}\ensuremath{\alpha}t$, where ${A}_{0}$ and $A(t)$ are the initial and instantaneous areas, respectively. However, in contrast to $d=3$, the slope $\ensuremath{\alpha}$ is strongly temperature dependent for $T>~0.6{T}_{c}$. An analytical theory which considers the thermal fluctuations agrees with the $T$ dependence of the Monte Carlo data in this regime.