Exact Results in Non-Equilibrium Statistical Mechanics - Part I

Explore a comprehensive lecture on exact results in non-equilibrium statistical mechanics delivered by Kirone Mallick as part of the Workshop on Integrable systems, exactly solvable models and algebras. Delve into the remarkable advancements made in understanding systems far from equilibrium, including Work Identities, the Fluctuation Theorem, and Macroscopic Fluctuation Theory. Discover how the concept of large deviations provides a unified description of non-equilibrium fluctuations, drawing parallels to the role of thermodynamic potentials. Examine the importance of studying simple models, such as stochastic interacting particle systems, in developing general theories. Learn how classical and quantum integrability techniques, including Bethe Ansatz and Inverse Scattering, are applied to find exact solutions in nonequilibrium physics. This 1-hour 13-minute lecture, presented at the Centre de recherches mathématiques (CRM), offers valuable insights into the mathematical foundations and practical applications of non-equilibrium statistical mechanics.