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
CNRS
Institute for Information Transmission Problems (RAS)

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	747-766
Nombre de pages	20
journal	Communications in Mathematical Physics
Volume	255
Numéro de publication	3
Les DOIs	https://doi.org/10.1007/s00220-004-1283-4
état	Publié - 1 avr. 2005
Modification externe	Oui

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10.1007/s00220-004-1283-4

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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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SP - 747

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

ER -

3D crystal: How flat its flat facets are?

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