Generalized Density Profiles in Single-File Systems

Explore the intricacies of single-file transport in a 35-minute conference talk delivered by Olivier Benichou at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the fundamental model of tracer subdiffusion observed in confined systems like zeolites and carbon nanotubes. Discover how the Symmetric Exclusion Process, a paradigmatic model of single-file diffusion, breaks the infinite hierarchy of equations governing bath-tracer correlations. Learn about a novel closed equation that solves these correlations and its potential applications in interacting particle systems, including out-of-equilibrium situations and other single-file systems. Gain insights from this presentation, which was part of the Thematic Programme on "Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems" held at ESI in 2022.