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.
Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, MA 02215, USA. paulk@bu.edu
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Krapivsky
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Redner
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Tailleur
D000465:Algorithms; D015233:Models, Statistical; D016011:Normal Distribution; D055585:Physical Phenomena; D010825:Physics; D013597:Systems Analysis; D013696:Temperature