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

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On Three Levels

Part of the book series: NATO ASI Series ((NSSB,volume 324))

Abstract

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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References

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© 1994 Springer Science+Business Media New York

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Miracle-Sole, S., Ruiz, J. (1994). On the Wulff Construction as a Problem of Equivalence of Statistical Ensembles. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_34

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  • DOI: https://doi.org/10.1007/978-1-4615-2460-1_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6047-6

  • Online ISBN: 978-1-4615-2460-1

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