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We quantify the effect of system size in the kinetics of domain growth inIsing model with 50:50 composition in two spatial dimensions. Our estimate ofthe exponent, $\alpha=0.334\pm0.004$, for the power law growth of linear domainsize, from Monte Carlo simulation using small systems of linear dimensionsL=16, 32, 64, and 128, is in excellent agreement with the prediction ofLifshitz-Slyozov (LS) theory, $\alpha=1/3$. We find that the LS exponent setsin very early and continues to be true until average size of domains reachesthree quarters of equilibrium limit.

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