Mapping nonequilibrium onto equilibrium: the macroscopic fluctuations of simple transport models.
We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents maps the large deviations of the model into those of an open, isolated chain satisfying detailed balance, where rare fluctuations are the time reversals of relaxations. We argue that the existence of such a mapping is the immediate reason why it is possible for this model to obtain an explicit solution for the large-deviation function of densities through elementary changes of variables. This approach can be generalized to the other models previously treated with the macroscopic fluctuation theory.
Tailleur
Julien
J
PMMH-ESPCI, CNRS UMR 7636, 10 rue Vauquelin, 75005 Paris, France.
Kurchan
Jorge
J
Lecomte
Vivien
V