Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

Andrew D. Rutenberg and Benjamin P. Vollmayr-Lee
Phys. Rev. Lett. 83, 3772 – Published 8 November 1999
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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.

  • Received 31 March 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.3772

©1999 American Physical Society

Authors & Affiliations

Andrew D. Rutenberg

  • Centre for the Physics of Materials, McGill University, 3600 rue University, Montréal QC, Canada H3A 2T8

Benjamin P. Vollmayr-Lee

  • Department of Physics, Bucknell University, Lewisburg, Pennsylvania 17837

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Vol. 83, Iss. 19 — 8 November 1999

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