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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.92.180601

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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