LIFSHITZ LAW FOR THE VOLUME OF A 2-DIMENSIONAL DROPLET AT ZERO-TEMPERATURE

Authors
CHAYES L SCHONMANN RH SWINDLE G
Citation
L. Chayes et al., LIFSHITZ LAW FOR THE VOLUME OF A 2-DIMENSIONAL DROPLET AT ZERO-TEMPERATURE, Journal of statistical physics, 79(5-6), 1995, pp. 821-831
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
79
Issue
5-6
Year of publication
1995
Pages
821 - 831
Database
ISI
SICI code
0022-4715(1995)79:5-6<821:LLFTVO>2.0.ZU;2-6
Abstract
We study a simple model of the zero-temperature stochastic dynamics fo r interfaces in two dimensions--essentially Glauber dynamics of the tw o-dimensional Ising model at T = 0. Using elementary geometric conside rations, we show that the (rescaled) volume of an initially square dro plet decreases linearly to zero as a function of (rescaled) time.