Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

1999/03/31 by Andrew D. Rutenberg, Benjamin P. Vollmayr-Lee, Benjamin Vollmayr-Lee · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.stat-mech #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1103/physrevlett.83.3772

published as Phys. Rev. Lett. 83, 3772 (1999) · 4 pages (revtex), 2 eps figures

arxiv created 1999/03/31 · openalex publication_date 1999/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Coarsening in theq-state Potts model and the Ising model with globally conserved magnetization

Cited by

• Local scale-invariance and ageing in noisy systems
• Chirality Amplification and Chiral Segregation in Liquid Crystals

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