%0 Journal Article
%T Non equilibrium steady states: fluctuations and large deviations of the density and of the current
%A B. Derrida
%J Physics
%D 2007
%I arXiv
%R 10.1088/1742-5468/2007/07/P07023
%X These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow to calculate the fluctuations and large deviations of the density and of the current in non-equilibrium steady states of systems like exclusion processes. The properties of these fluctuations and large deviation functions in non-equilibrium steady states (for example non-Gaussian fluctuations of density or non-convexity of the large deviation function which generalizes the notion of free energy) are compared with those of systems at equilibrium.
%U http://arxiv.org/abs/cond-mat/0703762v1