Dresden 2026 – scientific programme

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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 34.6: Talk

Wednesday, March 11, 2026, 11:15–11:30, ZEU/0160

Resonances in Odd Viscoelastic Materials — •Julius Kiln and Alexander Mietke — Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, United Kingdom

Active matter describes materials that are powered by microscopic sources of energy. This injection of energy can lead to a wide variety of phenomena and unconventional material properties, including odd elasticity and odd viscosity. Despite recent analytical examination of these systems, a widely applicable method for solving force balance equations for odd materials on finite domains was so far not available.

The Papkovich-Neuber (PN) ansatz, introduced almost a hundred years ago, has proved an invaluable method for solving the force balance equation of a Stokes fluid and of a passive linearly elastic solid. We generalise this idea and find an ansatz for odd solids and fluids that reduces to the known PN solutions in the limit of vanishing odd material parameters. Altogether, this provides a new and versatile method for finding analytical solutions to this class of problems. Using this result, we construct the displacement field for an odd elastic material in circular domain under both displacement and stress boundary conditions. Further extending this method to write displacement and flow solutions of an odd viscoelastic material explicitly, we study the response to oscillatory forcing at the boundary, finding resonances at certain forcing frequencies even in an overdamped system. Finally, based on these new PN solutions, we propose rheological protocols for measuring odd material properties.

Keywords: Odd Elasticity; Odd Viscoelasticity; Active Matter; Biological Physics