Large deviations and optimal control in active fluids #

Robert Jack

15:50 Monday in 2Q48.

Part of the Controlling active matter session.

Abstract #

We discuss large deviations of time-integrated quantities in models of active fluids, and their connection to optimal-control problems for these systems. We first show some numerical results for fluctuations (large deviations) of the entropy production rate in two-dimensional active systems [1]. These results will be complemented by analytical results for a one-dimensional active system, where we analyse large deviations around the hydrodynamic limit [2].

[1] Y.-E. Keta, E. Fodor, F. van Wijland, M. E. Cates, and R. L. Jack, Phys. Rev. E 103, 022603 (2021) [2] T. Agranov, M. E. Cates and R. L. Jack, J. Stat. Mech. (2022), 123201.