04-4 Thierry Bodineau, Roberto H. Schonmann, Senya Shlosman
3D crystal: how flat its flat facets are? (322K, Postscript) Jan 7, 04
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Abstract. We investigate the hypothesis that the (random) crystal of the $(-)$-phase inside the $(+)$-phase of the 3D canonical Ising model has flat facets. We argue that it might need to be weakened, due to the possibility of formation of extra monolayer on a facet. We then prove this weaker hypothesis for the Solid-On-Solid model.

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