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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 34.4: Vortrag

Mittwoch, 11. März 2026, 10:30–10:45, ZEU/0160

The notion of dissipation in three-dimensional fluids with odd viscosity — •Jeffrey Everts^1,2, Laura Meissner-Oszer¹, and Bogdan Cichocki¹ — ¹Institute 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

Odd viscosity is a transport coefficient that occurs in fluids where the constituent particles carry a non-trivial spin angular momentum. Exemplary realisations in this context are chiral active fluids and electronic systems in an external magnetic field. Due to the symmetry properties of the resulting viscosity tensor it is often stated in the literature that odd viscosity does not contribute to viscous dissipation. In this talk, I will explicitly demonstrate that this statement is incorrect for incompressible odd viscous fluids in three spatial dimensions. In this case, the fluid flow velocity can be affected by odd viscosity, which gives a non-trivial contribution to the dissipated power. As an example, we will show by explicit calculation how odd viscosity contributes to viscous dissipation for a spherical (colloidal) particle immersed in an odd viscous fluid. Furthermore, we will make general statements for viscous dissipation by generalising the Helmholtz minimum dissipation theorem -which is well known for ordinary Stokesian fluids - to fluids with odd viscosity.

Keywords: odd viscosity; chiral active fluids; microhydrodynamics; dissipation