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The additivity principle allows to compute the current distribution in manyone-dimensional (1D) nonequilibrium systems. Using simulations, we confirm thisconjecture in the 1D Kipnis-Marchioro-Presutti model of heat conduction for awide current interval. The current distribution shows both Gaussian andnon-Gaussian regimes, and obeys the Gallavotti-Cohen fluctuation theorem. Weverify the existence of a well-defined temperature profile associated to agiven current fluctuation. This profile is independent of the sign of thecurrent, and this symmetry extends to higher-order profiles and spatialcorrelations. We also show that finite-time joint fluctuations of the currentand the profile are described by the additivity functional. These resultssuggest the additivity hypothesis as a general and powerful tool to computecurrent distributions in many nonequilibrium systems.

Test of the Additivity Principle for Current Fluctuations in a Model of Heat Conduction