Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

摘要: These lecture notes give a short review of methods such as the matrix ansatz, additivity principle or macroscopic fluctuation theory, developed recently in theory non-equilibrium phenomena. They show how these allow us to calculate fluctuations and large deviations density current steady states systems like exclusion processes. The properties deviation functions (for example, non-Gaussian non-convexity function which generalizes notion free energy) are compared with those at equilibrium.