Large deviations of time-integrated quantities in active (and passive) matter

Robert Jack (U Cambridge)

Sep 26. 2022, 11:00 — 11:45

We consider simple models where particles move by a combination of diffusion and self-propulsion.  We analyze -- numerically and analytically -- large deviations of time-integrated quantities, including measures of entropy production and dynamical activity [1].  A variety of dynamical phase transitions are observed [2,3].  Some of these can be accounted for by fluctuating hydrodynamical theories, while others involve non-typical behaviour on the microscopic scale.  This difference has implications for the scaling of the corresponding large-deviation rate functions.

[1] R. L. Jack, Eur. Phys. J. B 93, 74 (2020).
[2] J. Dolezal and R. L. Jack, J. Stat. Mech. (2019), 123208
[3] Y.-E. Keta, E. Fodor, F. van Wijland, M. E. Cates, and R. L. Jack, Phys. Rev. E 103, 022603 (2021).

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems (Thematic Programme)
Christoph Dellago (U Vienna)
Satya Majumdar (U Paris Sud, Orsay)
David Mukamel (Weizmann Institute, Rehovot)
Harald Posch (U Vienna)
Gregory Schehr (U Paris Sud, Orsay)