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Explore emergent hydrodynamic behavior in exclusion processes featuring long-range particle interactions through this 48-minute conference talk. Delve into the theoretical foundations of how macroscopic fluid-like dynamics emerge from microscopic particle systems where particles cannot occupy the same site and interact across extended distances. Examine the mathematical frameworks used to describe these complex many-body systems and understand how long-range interactions modify the standard hydrodynamic equations compared to nearest-neighbor exclusion processes. Learn about the connection between microscopic stochastic dynamics and macroscopic deterministic evolution, including the derivation of effective hydrodynamic equations and the role of conservation laws. Discover applications to nonequilibrium statistical mechanics and the broader implications for understanding transport phenomena in interacting particle systems. Gain insights into current research directions in mathematical physics that bridge microscopic and macroscopic descriptions of matter, particularly relevant to the study of quantum and classical hydrodynamic systems.
