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Current fluctuations in non-equilibrium diffusive systems: an additivity principle

T. Bodineau·B. Derrida
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Abstract

We formulate a simple additivity principle allowing to calculate the whole distribution of current fluctuations through a large one dimensional system in contact with two reservoirs at unequal densities from the knowledge of its first two cumulants. This distribution (which in general is non-Gaussian) satisfies the Gallavotti-Cohen symmetry and generalizes the one predicted recently for the symmetric simple exclusion process. The additivity principle can be used to study more complex diffusive networks including loops.

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T. Bodineau, B. Derrida. 2004-02-11. Current fluctuations in non-equilibrium diffusive systems: an additivity principle. https://doi.org/10.1103/physrevlett.92.180601

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