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)], 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.
Department of Mathematics and Physics, Second University of Naples, Via Vivaldi 43, 81100 Caserta, Italy.
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Lippiello
Department of Physics and Astronomy, University of Padua, Via Marzolo 8, I-35131 Padova, Italy and INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy.
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Baiesi
ISC-CNR and Dipartimento di Fisica, Università "Sapienza", piazzale A. Moro 2, 00185 Rome, Italy and Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, case courrier 121, Université Paris 6, 4 Place Jussieu, 75255 Paris Cedex, France.
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Sarracino