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.
KeywordsFree Energy Partition Function Thermodynamic Limit Global Constraint Statistical Ensemble
Unable to display preview. Download preview PDF.
- 2.R. L.Dobrushin, R. Kotecký and S.B.Shlosman, “Wulff Construction: A Global Shape from Local Interactions,” Am.Math.Soc., Providence, RI (1992).Google Scholar
- 6.D.Ruelle, “Hasard et Chaos” (chap. 19), Odile Jacob, Paris (1991). O.Landford, Entropy and equilibrium states in classical statistical mechanics, in: “Statistical Mechanics and Mathematical Problems,” A. Lenard, ed., Springer, Berlin (1973).Google Scholar