Cumulants and large deviations of the current through non-equilibrium steady states

Details Cumulants and large deviations of the current through non-equilibrium steady states Cumulants and large deviations of the current through non-equilibrium steady states

2007-04-20

arxiv.org/abs/0704.2726v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.crhy.2007.04.014

Using a generalisation of the detailed balance for systems maintained out of equilibrium by contact with 2 reservoirs at unequal temperatures or at unequal densities, we recover the fluctuation theorem for the large deviation funtion of the current. For large diffusive systems, we show how the large deviation funtion of the current can be computed using a simple additivity principle. The validity of this additivity principle and the occurence of phase transitions are discussed in the framework of the macroscopic fluctuation theory.

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