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

Education Policy, Organization and Leadership

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

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

Access to Document

10.1007/BF01952891

Cite this

@article{acb3cb2ad99e44ffae99bae28dc367a7,

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∪{±∞}.",

author = "Ola Bratteli and Elliott, {George A.} and Herman, {Richard H.}",

year = "1980",

month = jun,

doi = "10.1007/BF01952891",

language = "English (US)",

volume = "74",

pages = "281--295",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - On the possible temperatures of a dynamical system

AU - Bratteli, Ola

AU - Elliott, George A.

AU - Herman, Richard H.

PY - 1980/6

Y1 - 1980/6

N2 - 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∪{±∞}.

AB - 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∪{±∞}.

UR - http://www.scopus.com/inward/record.url?scp=0000720077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000720077&partnerID=8YFLogxK

U2 - 10.1007/BF01952891

DO - 10.1007/BF01952891

M3 - Article

AN - SCOPUS:0000720077

VL - 74

SP - 281

EP - 295

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

On the possible temperatures of a dynamical system

Abstract

ASJC Scopus subject areas

Access to Document

Other links

Fingerprint

Cite this