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 us to calculate the fluctuations and large deviations of the density and 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. © IOP Publishing Ltd.
CITATION STYLE
Derrida, B. (2007). Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current. Journal of Statistical Mechanics: Theory and Experiment, (7). https://doi.org/10.1088/1742-5468/2007/07/P07023
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