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

A. J. Bray·C. L. Emmott
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Abstract

The coarsening dynamics of the Cahn-Hilliard equation with order-parameter dependent mobility, $λ(ϕ) \propto (1-ϕ^2)^α$, 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 $α>0$, the mean domain size is found to grow as $ \propto t^{1/(3+α)}$, due to subdiffusive transport of the order parameter through the majority phase. The domain-size distribution is determined explicitly for the physically relevant case $α= 1$.

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A. J. Bray, C. L. Emmott. 1995-03-31. Lifshitz-Slyozov Scaling For Late-Stage Coarsening With An Order-Parameter-Dependent Mobility. https://doi.org/10.1103/physrevb.52.r685

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