A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit

The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctuations are uncontrolled and might break the equivalence. We show that equivalence is ensured if we consider an infinite...

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Bibliographic Details
Published inJournal of statistical physics Vol. 100; pp. 757 - 763
Main Author Ruelle, D.
Format Journal Article
LanguageEnglish
Published Springer Verlag 2000
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Summary:The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctuations are uncontrolled and might break the equivalence. We show that equivalence is ensured if we consider an infinite system assumed to be ergodic under space translations.
ISSN:0022-4715
1572-9613
DOI:10.1023/A:1018679626556