Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

Andrew D. Rutenberg, Benjamin P. Vollmayr-Lee

Published 1999-03-31Version 1

We solve a coarsening system with small but arbitrary anisotropic surface tension and interface mobility. The resulting size-dependent growth shapes are significantly different from equilibrium microcrystallites, and have a distribution of grain sizes different from isotropic theories. As an application of our results, we show that the persistence decay exponent depends on anisotropy and hence is nonuniversal.