Anisotropic Coarsening: Grain Shapes and Nonuniversal Persistence

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.

arXiv comment4 pages (revtex), 2 eps figures

References in corpus (7)

• Theory of Phase Ordering Kinetics
• Experimental Measurement of the Persistence Exponent of the Planar Ising Model
• Coarsening in the q-State Potts Model and the Ising Model with Globally Conserved Magnetization
• Persistence with Partial Survival
• Block persistence
• Persistence, Poisoning, and Autocorrelations in Dilute Coarsening
• Stress-free Spatial Anisotropy in Phase-Ordering

Cited by in corpus (8)

• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• Deformation of crystals: Connections with statistical physics
• Local scale-invariance and ageing in noisy systems
• Local scale invariance as dynamical space-time symmetry in phase-ordering kinetics
• Scaling theory of continuum dislocation dynamics in three dimensions: Self-organized fractal pattern formation
• Persistence of a Continuous Stochastic Process with Discrete-Time Sampling: Non-Markov Processes
• Phase-ordering and persistence: relative effects of space-discretization, chaos, and anisotropy
• Comment on ``Phase ordering in chaotic map lattices with conserved dynamics''