On the Wulff Construction as a Problem of Equivalence of Statistical Ensembles

  • Salvador Miracle-Sole
  • Jean Ruiz
Part of the NATO ASI Series book series (NSSB, volume 324)


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.


Free Energy Partition Function Thermodynamic Limit Global Constraint Statistical Ensemble 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Salvador Miracle-Sole
    • 1
  • Jean Ruiz
    • 1
  1. 1.Centre de Physique ThéoriqueCNRS Luminy Case 907Marseille, Cedex 9France

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