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Explore advanced concepts in non-equilibrium statistical mechanics through this comprehensive lecture from the VI Siembra-HoLAGrav Young Frontiers Meeting at ICTP-SAIFR. Delve into the theoretical foundations and mathematical frameworks that govern statistical systems when they deviate from thermal equilibrium, examining how these systems evolve and respond to external perturbations. Learn about the fundamental principles that distinguish equilibrium from non-equilibrium behavior, including the role of entropy production, fluctuation theorems, and the emergence of steady states. Discover key mathematical tools and techniques used to analyze complex statistical systems, including master equations, Fokker-Planck equations, and stochastic thermodynamics. Examine real-world applications and examples that demonstrate how non-equilibrium statistical mechanics applies to diverse fields ranging from condensed matter physics to biological systems. Gain insights into current research frontiers and open questions in the field, as presented by Tarek Anous from Queen Mary University of London during this intensive academic program designed for young researchers in theoretical physics and related disciplines.
