Prediction of logarithmic growth in a quenched Ising model

We study the growth of domains following a quench in an Ising model with weak next-nearest-neighbor antiferromagnetic bonds. These bonds introduce energy barriers to coarsening of the domains and thus lead to slow dynamics. In three dimensions, simple physical arguments suggest that the barriers are proportional to the characteristic length scale L for quenches below ${\mathit{T}}_{\mathit{E}}$, the edge-roughening transition temperature. This should lead to logarithmic growth of L at long times. Monte Carlo simulations are not totally conclusive, but do provide support for logarithmic growth.