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

Physics – Mathematical Physics

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Scientific paper

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.

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