On the Wulff Construction as a Problem of Equivalence of Statistical Ensembles
In this note, the statistical mechanics of SOS (solid-on-solid) 1-dimensional mod els 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 ensembles. This gives a simple alter native microscopic proof of the validity of the Wulff construction for such models, first established in Ref. 1.
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