Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-05-28
Phys. Rev. Lett. 99, 150602 (2007)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevLett.99.150602
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.
Kurchan Jorge
Lecomte Vivien
Tailleur Julien
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