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Hydrodynamic correlation functions of chiral active fluids

Debarghya Banerjee*

Anton Souslov†

Vincenzo Vitelli‡

  • Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187, Dresden, Germany

  • Department of Physics, University of Bath, Bath, United Kingdom

  • James Franck Institute, The University of Chicago, Chicago, Illinois, USA

  • *Present address: Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany; Instituut-Lorentz, Universiteit Leiden, Leiden 2300 RA, The Netherlands; banerjee@pks.mpg.de
  • †Present address: James Franck Institute, The University of Chicago, Chicago, Illinois, USA; Instituut-Lorentz, Universiteit Leiden, Leiden 2300 RA, The Netherlands; a.souslov@bath.ac.uk
  • ‡Also at Department of Physics, The University of Chicago, Chicago, Illinois, USA; Instituut-Lorentz, Universiteit Leiden, Leiden 2300 RA, The Netherlands; vitelli@uchicago.edu
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Phys. Rev. Fluids 7, 043301 – Published 25 April, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.043301

Abstract

The success of spectroscopy to characterize equilibrium fluids, for example the heat-capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.

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Phys. Rev. Fluids 7, 043301– Published 25 April, 2022
  • Received 27 May 2020
  • Accepted 28 March 2022
Article part of CHORUS
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