Dynamics of an Unbounded Interface Between Ordered Phases
摘要
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.
引用
@article{arxiv.cond-mat/0309515,
title = {Dynamics of an Unbounded Interface Between Ordered Phases},
author = {P. L. Krapivsky and S. Redner and J. Tailleur},
journal= {arXiv preprint arXiv:cond-mat/0309515},
year = {2009}
}
备注
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