On the Wulff construction as a problem of equivalence of statistical ensembles

Salvador Miracle-Sole (1) , Jean Ruiz (1)

1 CPT - Centre de Physique Théorique - UMR 7332

The statistical mechanics of SOS (solid-on-solid) 1-dimen\-sional models under the global constraint of having a specified area between the interface and the horizontal axis, is studied. We prove the existence of the thermodynamic limits and the equivalence of the corresponding statistical mechanics. This gives a simple alternative microscopic proof of the validity of the Wulff construction for such models.

Mots clés: SOS model; surface tension; Wulff construction

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Salvador Miracle-Sole, Jean Ruiz. On the Wulff construction as a problem of equivalence of statistical ensembles. M. Fannes and A. Verbeure. On Three Levels: Micro, Meso and Macroscopic Approaches in Physics, Plenum Press, New York, pp.295-302, 1994. ⟨hal-00707438⟩