On the possible temperatures of a dynamical system

Ola Bratteli; George A. Elliott; Richard H. Herman

doi:10.1007/BF01952891

On the possible temperatures of a dynamical system

Ola Bratteli, George A. Elliott, Richard H. Herman

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Abstract

A simple C*-algebra and a continuous one-parameter automorphism group are constructed such that the set of inverse temperatures at which there exist equilibrium states (i.e., KMS states, or, for β=±∞, ground or ceiling states) is an arbitrary closed subset of IR∪{±∞}.

Original language	English (US)
Pages (from-to)	281-295
Number of pages	15
Journal	Communications in Mathematical Physics
Volume	74
Issue number	3
DOIs	https://doi.org/10.1007/BF01952891
State	Published - Jun 1980

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the possible temperatures of a dynamical system",

abstract = "A simple C*-algebra and a continuous one-parameter automorphism group are constructed such that the set of inverse temperatures at which there exist equilibrium states (i.e., KMS states, or, for β=±∞, ground or ceiling states) is an arbitrary closed subset of IR∪{±∞}.",

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