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Explore an in-depth lecture on the Macroscopic Fluctuation Theory (MFT) and its exact solution for the exclusion process. Delve into the world of non-equilibrium statistical physics, focusing on interacting diffusive particle systems. Discover how the MFT, proposed by G. Jona-Lasinio and collaborators, determines physics out of equilibrium using two coupled non-linear hydrodynamic equations at a coarse-grained scale. Learn about the classical integrability of MFT equations for the exclusion process through inverse scattering methods, originally used for studying solitons in KdV and NLS equations. Gain insights into how large deviations are generated by atypical fluctuations far from equilibrium. This 1 hour 19 minute talk by Kirone Mallick provides a comprehensive exploration of an exact solution to the Macroscopic Fluctuation Theory, offering valuable knowledge for those interested in advanced statistical physics and non-equilibrium systems.
