Hydrodynamic correlation functions of chiral active fluids

Debarghya Banerjee, Anton Souslov, Vincenzo Vitelli

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The success of spectroscopy to characterise 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.
Original languageEnglish
JournalPreprint on arXiv
Publication statusSubmitted - 1 May 2020


  • cond-mat.soft
  • physics.flu-dyn

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