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  • Letter
  • Open Access

Lift force in odd compressible fluids

Ruben Lier1,2,6,7,*,†, Charlie Duclut3,4,1,*,‡, Stefano Bo1,5,§, Jay Armas6,7,∥, Frank Jülicher1,8,9,¶, and Piotr Surówka6,7,10,**

  • 1Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany
  • 2Würzburg-Dresden Cluster of Excellence ct.qmat, 01187 Dresden, Germany
  • 3Laboratoire Physico-Chimie Curie, UMR 168, Institut Curie, PSL Research University, CNRS, Sorbonne Université, 75005 Paris, France
  • 4Université Paris Cité, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS, F-75205 Paris, France
  • 5Department of Physics, King's College London, London WC2R 2LS, United Kingdom
  • 6Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, The Netherlands
  • 7Dutch Institute for Emergent Phenomena (DIEP), University of Amsterdam, 1090 GL Amsterdam, The Netherlands
  • 8Center for Systems Biology Dresden, Pfotenhauerstrasse 108, 01307 Dresden, Germany
  • 9Cluster of Excellence Physics of Life, TU Dresden, 01062 Dresden, Germany
  • 10Institute of Theoretical Physics, Wrocław University of Science and Technology, 50-370 Wrocław, Poland

  • *These authors contributed equally to this work.
  • †r.lier@uva.nl
  • ‡charlie.duclut@curie.fr
  • §stefano.bo@kcl.ac.uk
  • ∥j.armas@uva.nl
  • julicher@pks.mpg.de
  • **piotr.surowka@pwr.edu.pl
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Phys. Rev. E 108, L023101 – Published 2 August, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L023101

Abstract

When a body moves through a fluid, it can experience a force orthogonal to its movement called lift force. Odd viscous fluids break parity and time-reversal symmetry, suggesting the existence of an odd lift force on tracer particles, even at vanishing Reynolds numbers and for symmetric geometries. It was previously found that an incompressible odd fluid cannot induce lift force on a tracer particle with no-slip boundary conditions, making signatures of odd viscosity in the two-dimensional bulk elusive. By computing the response matrix for a tracer particle, we show that an odd compressible fluid can produce an odd lift force. Using shell localization, we provide analytic expressions for the drag and odd lift forces acting on the tracer particle in a steady state and also at finite frequency. Importantly, we find that the existence of an odd lift force in a steady state requires taking into account the nonconservation of the fluid mass density due to the coupling between the two-dimensional surface and the three-dimensional bulk fluid.

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Outline

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Phys. Rev. E 108, L023101– Published 2 August, 2023
  • Received 13 June 2022
  • Revised 18 January 2023
  • Accepted 7 July 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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