Lifshitz-Slyozov scaling for late-stage coarsening with an order-parameter-dependent mobility

The coarsening dynamics of the Cahn-Hilliard equation with order-parameter-dependent mobility, {λ}({φ}){∝}(1-φ²{)}^{{{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 〈R〉{∝}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.