Large Deviations of Time-Integrated Quantities in Active and Passive Matter

Explore large deviations of time-integrated quantities in active and passive matter through this 39-minute conference talk delivered by Robert Jack at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into simple models where particles move by combining diffusion and self-propulsion, examining numerical and analytical approaches to study large deviations of time-integrated quantities, including entropy production and dynamical activity measures. Discover various dynamical phase transitions and learn how some can be explained by fluctuating hydrodynamical theories, while others involve non-typical behavior on the microscopic scale. Understand the implications of these differences for the scaling of corresponding large-deviation rate functions. Gain insights from referenced works by Jack, Dolezal, Keta, and colleagues, exploring the fascinating world of non-equilibrium systems and their anomalous transport phenomena.