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Optimal paths and dynamical symmetry breaking in the current fluctuations of driven diffusive media

Optimal paths and dynamical symmetry breaking in the current fluctuations of driven diffusive media

Large deviation theory provides a framework to understand macroscopic fluctuations and collective phenomena in many-body nonequilibrium systems in terms of microscopic dynamics. In these lecture notes we discuss the large deviation statistics of the current, a central observable out of equilibrium, using mostly macroscopic fluctuation theory (MFT) but also microscopic …