Dynamics of random interfaces in an order-disorder transition

A computer-simulation study of the dynamic structure factor has been carried out for the two-dimensional Ising antiferromagnet at several temperatures below $T_c$. The scaling function for the structure factor depends weakly on temperature. The corresponding second moment as well as a characteristic domain size exhibits an Allen-Cahn time dependence, but with temperature-dependent prefactors which disagree with their theory in two dimensions. Additional theoretical work seems necessary to understand the temperature dependence of the scaling function and the domain size.