Lifshitz' law for the volume of a two-dimensional droplet at zero temperature |
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| Authors: | L. Chayes R. H. Schonmann G. Swindle |
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| Affiliation: | (1) Department of Mathematics, University of California, 90024 Los Angeles, California;(2) Department of Statistics and Applied Probability, University of California, 93106 Santa Barbara, California |
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| Abstract: | We study a simple model of the zero-temperature stochastic dynamics for interfaces in two dimensions-essentially Glauber dynamics of the two-dimensional Ising model atT=0. Using elementary geometric considerations, we show that the (rescaled) volume of an initially square droplet decreases linearly to zero as a function of (rescaled) time. |
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| Keywords: | Lifshitz'law droplets 2D interfaces |
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