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Explore the universal dynamics of passive particles driven by Brownian motion in this 48-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the fundamental principles governing how passive particles behave when subjected to random thermal fluctuations, examining the mathematical frameworks and physical insights that reveal universal patterns in such stochastic systems. Learn about the theoretical foundations of Brownian motion and its applications to passive particle dynamics, including the statistical mechanics principles that govern these systems. Discover how universal scaling laws emerge from seemingly random processes and understand the connections between microscopic fluctuations and macroscopic observable phenomena. Examine the role of thermal noise in driving particle motion and investigate the mathematical tools used to analyze such systems, including stochastic differential equations and fluctuation-dissipation relations. Gain insights into current research developments in nonequilibrium statistical physics and understand how passive particle dynamics contribute to our broader understanding of thermodynamic fluctuations in stochastic systems. This presentation forms part of a comprehensive program on "Hydrodynamics, Fluctuations, and Noise in quantum and classical systems" that brings together classical, quantum, and string theory perspectives on nonequilibrium thermodynamics.
