Lifshitz-Slyozov Scaling For Late-Stage Coarsening With An Order-Parameter-Dependent Mobility

Abstract

The coarsening dynamics of the Cahn-Hilliard equation with order-parameter dependent mobility, $\lambda (\varphi )\propto (1-{\varphi }^2{)}^{\alpha }$, is addressed at zero temperature in the Lifshitz-Slyozov limit where the minority phase occupies a vanishingly small volume fraction. Despite the absence of bulk diffusion for $\alpha >0$, the mean domain size is found to grow as $<R>\propto t^{1/(3+\alpha )}$, due to subdiffusive transport of the order parameter through the majority phase. The domain-size distribution is determined explicitly for the physically relevant case $\alpha =1$.

4 pages, Revtex, no figures

References in corpus (1)

• Theory of Phase Ordering Kinetics

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