On the Wulff construction as a problem of equivalence of statistical ensembles
Statistical Mechanics
2012-06-19 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1206.3739,
title = {On the Wulff construction as a problem of equivalence of statistical ensembles},
author = {Salvador Miracle-Sole and Jean Ruiz},
journal= {arXiv preprint arXiv:1206.3739},
year = {2012}
}
Comments
11 pages, 1 figure