Fluctuations in Stationary non Equilibrium States ofIrreversible Processes
Claudio Landim | Bertini , Lorenzo | De Sole, Alberto | Gabrielli, Davide | Jona-Lasinio, Gianni
stationary non equilibrium states | Onsager-Machlup theory | interacting particle systems
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.