Chayes L., Schonmann R.H., Swindle G. — Lifshitz' Law for the Volume of a Two-Dimensional Droplet at Zero Temperature
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Название: Lifshitz' Law for the Volume of a Two-Dimensional Droplet at Zero Temperature
Авторы: Chayes L., Schonmann R.H., Swindle G.
Аннотация:
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 at T= 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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