Dependence of the Fluctuation-Dissipation Temperature on the Choice of Observable

Kirsten Martens, Eric Bertin, and Michel Droz
Phys. Rev. Lett. 103, 260602 – Published 22 December 2009

Abstract

On general grounds, a nonequilibrium temperature can be consistently defined from generalized fluctuation-dissipation relations only if it is independent of the observable considered. We argue that the dependence on the choice of observable generically occurs when the phase-space probability distribution is nonuniform on constant energy shells. We relate quantitatively this observable dependence to a fundamental characteristics of nonequilibrium systems, namely, the Shannon entropy difference with respect to the equilibrium state with the same energy. This relation is illustrated on a mean-field model in contact with two heat baths at different temperatures.

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  • Received 18 June 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.260602

©2009 American Physical Society

Authors & Affiliations

Kirsten Martens1,2, Eric Bertin3, and Michel Droz1

  • 1Department of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland
  • 2Université de Lyon; Université Lyon 1, Laboratoire de Physique de la Matière Condensée et des Nanostructures; CNRS, UMR 5586, 43 Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France
  • 3Université de Lyon, Laboratoire de Physique, ENS Lyon, CNRS, 46 Allée d’Italie, F-69007 Lyon, France

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Vol. 103, Iss. 26 — 31 December 2009

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