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Fluctuation relations in simple examples of non-equilibrium steady states

arXiv:0806.1875 · doi:10.1088/1742-5468/2008/08/P08005

Abstract

We discuss fluctuation relations in simple cases of non-equilibrium Langevin dynamics. In particular, we show that close to non-equilibrium steady states with non-vanishing probability currents some of these relations reduce to a modified version of the fluctuation-dissipation theorem. The latter may be interpreted as the equilibrium-like relation in the reference frame moving with the mean local velocity determined by the probability current.

18 pages