1206.3739 (Salvador Miracle-Sole et al.)

On the Wulff construction as a problem of equivalence of statistical
ensembles    [PDF]

Salvador Miracle-Sole, Jean Ruiz

The statistical mechanics of SOS (solid-on-solid) 1-dimensional 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.

View original: http://arxiv.org/abs/1206.3739