Dependence of the fluctuation-dissipation temperature on the choice of observable

Details Dependence of the fluctuation-dissipation temperature on the choice of observable Dependence of the fluctuation-dissipation temperature on the choice of observable

2009-06-18

arxiv.org/abs/0906.3482v2

Phys.Rev.Lett.103:260602,2009

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, final version

Scientific paper

10.1103/PhysRevLett.103.260602

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 non-uniform 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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