Monte Carlo Renormalization-Group Study of the Late-Stage Dynamics of Spinodal Decomposition

The kinetics of spinodal decomposition has been studied by a Monte Carlo renormalization-group method. Using the standard blocking transformation, we numerically renormalize the evolving configurations during phase separation of a two-dimensional kinetic Ising ferromagnet with spin-exchange dynamics. We find that, as the scaling regime is approached, the domain size $R$ grows in time $t$ as $R\sim t^n$, where we obtain $n=0.338\mathrm{}\pm 0.008$. This is consistent with the classical result of Lifshitz and Slyozov for Ostwald ripening, namely $n=\frac{1}{3}$.