Miracle-Sole S., Ruiz J.
On the Wulff Construction as a Problem
of Equivalence of Statistical Ensembles
(46K, LateX)
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.
The existence of the thermodynamic limits and
the equivalence of the corresponding statistical ensembles are proved.
This gives a simple alternative microscopic proof of
the validity of Wulff construction for such models,
first established by De Coninck Dunlop and Rivasseau.