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.