Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

TL;DR

This paper investigates how anisotropic surface tension and interface mobility influence grain shape evolution during coarsening, revealing nonuniversal persistence decay behavior dependent on anisotropy.

Contribution

It provides an analytical solution for anisotropic coarsening and demonstrates the nonuniversal nature of persistence decay exponents.

Findings

Grain shapes differ significantly from equilibrium microcrystallites due to anisotropy.

Grain size distribution deviates from isotropic theories.

Persistence decay exponent depends on anisotropy, showing nonuniversality.

Abstract

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.