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Explore the long-time dynamics of tracers in one-dimensional active baths through this 58-minute lecture by Omer Granek at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the unexpected findings of damping and noise correlations with long-time tails, whose exponents depend on tracer symmetry. Examine how shape asymmetry in generic tracers induces ratchet effects, leading to superdiffusion and time-dependent friction when dragged at constant speed. Contrast these results with the singular case of completely symmetric tracers, which exhibit normal diffusion and finite friction. Discover the counterintuitive behavior of small symmetric tracers, where active particles enhance rather than oppose motion. Gain insights into why low-dimensional systems defy modeling as persistent random walkers with finite correlation times, challenging previous assumptions about tracer behavior in active baths.
