Fluctuations in Stationary non Equilibrium States

@inproceedings{Bertini2001FluctuationsIS,
  title={Fluctuations in Stationary non Equilibrium States},
  author={Lorenzo Bertini and Alberto De Sole and Davide Gabrielli and Giovanni Jona-Lasinio and Claudio Landim},
  year={2001}
}
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… 

Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to

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