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.
@article{hal-00707438,
author = {Miracle-Sole, Salvador and Ruiz, Jean},
title = {On the Wulff construction as a problem of equivalence of statistical ensembles},
journal = {HAL},
volume = {1994},
number = {0},
year = {1994},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00707438}
}
Miracle-Sole, Salvador; Ruiz, Jean. On the Wulff construction as a problem of equivalence of statistical ensembles. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/hal-00707438/