Dresden 2026 – scientific programme

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SYBS: Symposium Fluids with Broken Time-Reversal Symmetry: Odd/Hall Viscosity between Active Matter and Electron Flows

SYBS 1: Fluids with broken time-reversal symmetry: Odd/Hall viscosity between active matter and electron flows

SYBS 1.2: Invited Talk

Tuesday, March 10, 2026, 10:00–10:30, HSZ/AUDI

Odd viscosity in two-dimensional hydrodynamic electron transport — •Igor Gornyi and Dmitry Polyakov — Karlsruhe Institute of Technology, Karlsruhe, Germany

We discuss the role of odd (Hall) viscosity in two-dimensional hydrodynamic electron transport in two spatial dimensions. We formulate a general framework to study the flow of the electron fluid past a random array of impenetrable obstacles in the presence of a magnetic field and derive a linear-response resistivity tensor. For the no-slip boundary condition on the obstacles, the resistivity tensor does not depend on the Hall viscosity. By contrast, for the specular boundary condition, the total electric field is rotated by Hall viscosity, which means the emergence of a Hall-viscosity-induced effective magnetic field that leads to a deviation of the Hall constant from its universal value, as well as to a modification of the longitudinal resistivity. We combine the hydrodynamic and electrostatic perspectives by addressing the distribution of charges that create the flow-induced electric fields around obstacles and provide a connection between the resistivity tensor and the disorder-averaged electric dipole induced by viscosity at the obstacle. This establishes a conceptual link between the resistivity in hydrodynamics and the notion of the Landauer dipole.

Keywords: electronic hydrodynamics; odd viscosity; electron transport; Landauer dipole; Hall resistivity