Large Deviations of the Density and Current in Non-Equilibrium Systems - Lecture 2

Explore the second lecture in a series on macroscopic fluctuation theory delivered by Professor Bernard Derrida from the Collège de France at the Isaac Newton Institute. Delve into the mathematical principles governing large-scale properties of out-of-equilibrium diffusive systems, with particular focus on computing large deviation functions of density and current. Learn about practical applications of this theory through various models, building upon foundational work by Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim. Part of the "New statistical physics in living matter: non equilibrium states under adaptive control" series, this 72-minute lecture provides advanced insights into non-equilibrium statistical physics and its applications to living systems.