Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 34: Focus Session: Fluids with Broken Time-Reversal Symmetry – Odd/Hall Viscosity Between Active Matter and Electron Flows
DY 34.5: Vortrag
Mittwoch, 11. März 2026, 10:45–11:00, ZEU/0160
Exact flow patterns in systems with odd viscosity — •Laura Meissner-Oszer1, Bogdan Cichocki1, and Jeffrey Everts1,2 — 1nstitute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland — 2Institute of Physical Chemistry, Polish Academy of Sciences, 01-224 Warsaw, Poland
Chiral active fluids are composed of self-spinning particles with a non-trivial spin-angular momentum that is maintained through a continuous injection of energy at the microscopic scale. Due to this property, there are antisymmetric contributions in the viscosity tensor, which are called odd viscosity. In the low Reynolds-number regime we show that there is a uniqueness theorem for such flows akin to ordinary Stokesian fluids. In order to analyse the effect of odd viscosity on flow patterns of a three-dimensional incompressible fluid in the creeping flow regime, we focus on a simple model of a chiral active fluid described by one shear viscosity and one odd viscosity. By considering the Green’s function of the linear momentum-balance equation in the presence of a point force, we derive exact closed-form analytical expressions for the velocity and pressure field of the fluid around a translating and rotating spherical particle. Furthermore, we highlight specific features of such flows due to the presence of odd viscosity and we demonstrate how the direction of spin momentum affects the qualitative features of the streamlines.