Dynamics of an unbounded interface between ordered phases.
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 diagram that represents the partition of the integers.
Krapivsky
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Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, MA 02215, USA. paulk@bu.edu
Redner
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Tailleur
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D000465:Algorithms; D015233:Models, Statistical; D016011:Normal Distribution; D055585:Physical Phenomena; D010825:Physics; D013597:Systems Analysis; D013696:Temperature