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Fluctuations in Stationary non Equilibrium States

L. Bertini·A. De Sole·D. Gabrielli·G. Jona-Lasinio·C. Landim
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Abstract

In this paper we formulate a dynamical fluctuation theory for stationary non equilibrium states (SNS) which covers situations in a nonlinear hydrodynamic regime and is verified explicitly in stochastic models of interacting particles. In our theory a crucial role is played by the time reversed dynamics. Our results include the modification of the Onsager-Machlup theory in the SNS, a general Hamilton-Jacobi equation for the macroscopic entropy and a non equilibrium, non linear fluctuation dissipation relation valid for a wide class of systems.

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L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim. 2001-04-09. Fluctuations in Stationary non Equilibrium States. https://doi.org/10.1103/physrevlett.87.040601

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