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Explore hydrodynamic fluctuations in stochastic charged cellular automata through this 52-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the intersection of nonequilibrium thermodynamics and statistical physics as part of a comprehensive program examining hydrodynamics, fluctuations, and noise in both quantum and classical systems. Learn how cellular automata models can illuminate universal structures in ballistic transport and thermodynamic fluctuations, connecting classical nonlinear fluctuating hydrodynamics with modern theoretical frameworks. Discover the relationships between Macroscopic Fluctuation Theory (MFT) and stochastic systems, while examining how these concepts bridge classical statistical mechanics, quantum many-body physics, and string theory approaches through the AdS/CFT correspondence. Gain insights into current research methodologies that unite traditionally separate communities working on nonequilibrium phenomena, from cold-atom experiments and quantum thermalization to black hole geometries and fluid-gravity duality. Understand how charge transport statistics in both classical lattice gases and chaotic quantum matter follow similar underlying principles, revealing deep connections between seemingly disparate physical systems.
