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Explore advanced concepts in non-equilibrium statistical mechanics through this fifth lecture in a specialized physics series delivered at the VI Siembra-HoLAGrav Young Frontiers Meeting. Delve into the theoretical foundations and mathematical frameworks governing statistical systems that operate away from thermal equilibrium, examining how these systems evolve, respond to perturbations, and exhibit emergent behaviors. Learn about key principles including fluctuation theorems, response theory, and the role of entropy production in driving system dynamics. Investigate modern approaches to understanding irreversible processes, phase transitions in driven systems, and the connection between microscopic dynamics and macroscopic observables. Gain insights into current research frontiers in non-equilibrium physics, including applications to biological systems, quantum many-body systems, and active matter. This advanced-level presentation builds upon previous classes in the series and provides essential knowledge for researchers working in theoretical physics, condensed matter physics, and related fields studying complex systems far from equilibrium.
