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

J. L. Lebowitz; A. E. Mazel

doi:10.1007/s002200050204

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

J. L. Lebowitz
, A. E. Mazel

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the absence of any non-periodic Gibbs state. The approach to this infinite volume state is exponentially fast.

Original language	English (US)
Pages (from-to)	311-321
Number of pages	11
Journal	Communications In Mathematical Physics
Volume	189
Issue number	2
DOIs	https://doi.org/10.1007/s002200050204
State	Published - 1997

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200050204

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title = "On the uniqueness of Gibbs states in the Pirogov-Sinai theory *",

abstract = "We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the absence of any non-periodic Gibbs state. The approach to this infinite volume state is exponentially fast.",

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AU - Lebowitz, J. L.

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AB - We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the absence of any non-periodic Gibbs state. The approach to this infinite volume state is exponentially fast.

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

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

Abstract

All Science Journal Classification (ASJC) codes

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