Unusual domain growth behavior in the compressible ising model

Abstract

Large scale Monte Carlo simulations have been used to study long-time domain growth behavior in a compressible, two-dimensional Ising model undergoing phase separation. The system is quenched below the transition temperature from a random spin state, and we investigated the late-time domain size growth, law, R(t) =A + Btn. For "lattice mismatched" systems, we found n = 0.224 ± 0.004 which deviates significantly from, the Lifshitz-Slyozov value of n = 1/3 for late-time growth . For a compressible model with no mismatch, we find only a slight deviation from, n = 1/3. These results strongly suggest that we do not yet fully understand domain growth.