Berlin 2024 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 2: Active Matter I (joint session BP/CPP/DY)
DY 2.3: Talk
Monday, March 18, 2024, 10:00–10:15, H 1028
Lorentz reciprocal theorem in fluids with odd viscosity — •Yuto Hosaka1, Ramin Golestanian1,2,3, and Andrej Vilfan1,4 — 1Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany — 2Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom — 3Institute for the Dynamics of Complex Systems, University of Göttingen, 37077 Göttingen, Germany — 4Jozef Stefan Institute, 1000 Ljubljana, Slovenia
The Lorentz reciprocal theorem -- that is used to study various transport phenomena in hydrodynamics -- is violated in chiral active fluids that feature odd viscosity with broken time-reversal and parity symmetries. Here we show that the theorem can be generalized to fluids with odd viscosity by choosing an auxiliary problem with the opposite sign of the odd viscosity [1]. We demonstrate the application of the theorem to two categories of microswimmers. Swimmers with prescribed surface velocity are not affected by odd viscosity, while those with prescribed active forces are. In particular, a torque-dipole can lead to directed motion.
[1] Y. Hosaka, R. Golestanian, and A. Vilfan, Phys. Rev. Lett. 131, 178303 (2023).
Keywords: odd viscosity; chirality; active matter; microswimmers; nonreciprocal response