English

3D crystal: how flat its flat facets are?

Mathematical Physics 2009-11-10 v1 math.MP Probability

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.

Keywords

Cite

@article{arxiv.math-ph/0401010,
  title  = {3D crystal: how flat its flat facets are?},
  author = {Thierry Bodineau and Roberto H. Schonmann and Senya Shlosman},
  journal= {arXiv preprint arXiv:math-ph/0401010},
  year   = {2009}
}
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