On the uniqueness of Gibbs states in the Pirogov-Sinai theory

Date

2006

Authors

Kerimov, A.

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Abstract

We consider models of classical statistical mechanics satisfying natural stability conditions: a finite spin space, translation-periodic finite potential of finite range, a finite number of ground states meeting Peierls or Gertzik-Pirogov-Sinai condition. The Pirogov-Sinai theory describes the phase diagrams of these models at low temperature regimes. By using the method of doubling and mixing of partition functions we give an alternative elementary proof of the uniqueness of limiting Gibbs states at low temperatures in ground state uniqueness region. © World Scientific Publishing Company.

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International Journal of Modern Physics B

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World Scientific Publishing Co. Pte. Ltd.

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Published Version (Please cite this version)

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English