Nonequilibrium fluctuation-dissipation theorem and heat production

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the Harada-Sasa formulation [Phys. Rev. Lett. 95, 130602 (2005)...

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Bibliographic Details
Published in:Physical review letters 2014-04, Vol.112 (14), p.140602-140602
Main Authors: Lippiello, E, Baiesi, M, Sarracino, A
Format: Article
Language:English
Subjects:
Fluctuation
Heat exchange
Kinetic energy
Mathematical analysis
Mathematical models
Oscillators
Steady state
Theorems
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Summary:We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the Harada-Sasa formulation [Phys. Rev. Lett. 95, 130602 (2005)], obtained for Langevin equations in steady states, as it also holds for transient regimes and for discrete jump processes involving small entropic changes. Moreover, a general formulation includes two times and the new concepts of two-time work, kinetic energy, and of a two-time heat exchange that can be related to a nonequilibrium “effective temperature.” Numerical simulations of a chain of anharmonic oscillators and of a model for a molecular motor driven by adenosine triphosphate hydrolysis illustrate these points.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.112.140602