Dynamics of an Unbounded Interface Between Ordered Phases

Abstract

We investigate the evolution of a single unbounded interface between ordered phases in two-dimensional Ising ferromagnets that are endowed with single-spin-flip zero-temperature Glauber dynamics. We examine specifically the cases where the interface initially has either one or two corners. In both examples, the interface evolves to a limiting self-similar form. We apply the continuum time-dependent Ginzburg-Landau equation and a microscopic approach to calculate the interface shape. For the single corner system, we also discuss a correspondence between the interface and the Young tableau that represents the partition of the integers.

9 pages, 11 figures, 2-column revtex4 format. V2: references added and discussion section expanded slightly. Final version for PRE. V3: A few small additional editorial changes

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Geometric variational problems of statistical mechanics and of combinatorics
• Area-preserving dynamics of a long slender finger by curvature: a test case for the globally conserved phase ordering

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