Domain Coarsening in 2-d Ising Model: Finite-Size Scaling for Conserved Dynamics

الأصل · EN

We quantify the effect of system size in the kinetics of domain growth in Ising model with 50:50 composition in two spatial dimensions. Our estimate of the exponent, α=0.334±0.004, for the power law growth of linear domain size, from Monte Carlo simulation using small systems of linear dimensions L=16, 32, 64, and 128, is in excellent agreement with the prediction of Lifshitz-Slyozov (LS) theory, α=1/3. We find that the LS exponent sets in very early and continues to be true until average size of domains reaches three quarters of equilibrium limit.