Large Deviations of the Density and Current in Non-Equilibrium Systems - Lecture 3

Explore the third lecture in a series on macroscopic fluctuation theory delivered by Professor Bernard Derrida from the Collège de France, focusing on large deviations of density and current in non-equilibrium systems. Gain insights into the mathematical framework that describes large-scale properties of out-of-equilibrium diffusive systems, with detailed examples of models where large deviation functions can be computed both with and without this theory. Part of the "New statistical physics in living matter: non equilibrium states under adaptive control" series, the lecture builds upon foundational work by Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim, offering a comprehensive introduction to this sophisticated theoretical approach for understanding non-equilibrium states.