3D crystal: How flat its flat facets are?

Thierry Bodineau; Roberto H. Schonmann; Senya Shlosman

doi:10.1007/s00220-004-1283-4

3D crystal: How flat its flat facets are?

Thierry Bodineau
, Roberto H. Schonmann
, Senya Shlosman

Laboratoire de Probabilités et Modèles Aléatoires
University of California, Los Angeles
Centre national de la recherche scientifique
Institute for Information Transmission Problems (RAS)

Research output: Contribution to journal › Article › peer-review

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 an extra monolayer on a facet. We then prove this weaker hypothesis for the Solid-On-Solid model.

Original language	English
Pages (from-to)	747-766
Number of pages	20
Journal	Communications in Mathematical Physics
Volume	255
Issue number	3
DOIs	https://doi.org/10.1007/s00220-004-1283-4
Publication status	Published - 1 Apr 2005
Externally published	Yes

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title = "3D crystal: How flat its flat facets are?",

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 an extra monolayer on a facet. We then prove this weaker hypothesis for the Solid-On-Solid model.",

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AB - 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 an extra monolayer on a facet. We then prove this weaker hypothesis for the Solid-On-Solid model.

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DO - 10.1007/s00220-004-1283-4

M3 - Article

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EP - 766

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

3D crystal: How flat its flat facets are?

Abstract

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