Université Paris 6Pierre et Marie Curie Université Paris 7Denis Diderot CNRS U.M.R. 7599 Probabilités et Modèles Aléatoires''

### 3D crystal: how flat its flat facets are?

Auteur(s):

Code(s) de Classification MSC:

• 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

Résumé: We investigate the hypothesis that the (random) crystal of the $\left( -\right)$-phase inside the $\left( +\right)$-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.

Mots Clés: Ising ; Interfaces

Date: 2004-01-12

Prépublication numéro: PMA-874