Trading particle shape with fluid symmetry: on the mobility matrix in 3D chiral fluids

Abstract

Chiral fluids - such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids - flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have asymmetric stress and viscosity tensors, for example giving rise to a hydrostatic torque or non-dissipative (odd) and parity-violating viscosities. In this article, we investigate the motion of rigid bodies in such an anisotropic fluid in the incompressible Stokes regime through the mobility matrix, which encodes the response of a solid body to forces and torques. We demonstrate how the form of the mobility matrix, which is usually determined by particle geometry, can be analogously controlled by the symmetries of the fluid. By computing the mobility matrix for simple shapes in a three-dimensional anisotropic chiral fluid, we predict counter-intuitive phenomena such as motion perpendicular to applied forces and spinning under the force of gravity.

33 pages, 8 figures

References in corpus (8)

• The hydrodynamics of swimming microorganisms
• Odd Viscosity and Odd Elasticity
• Stokes flows in three-dimensional fluids with odd and parity-violating viscosities
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• Lift force in odd compressible fluids
• Dissipative effects in odd viscous Stokes flow around a single sphere
• Predicting tensorial electrophoretic effects in asymmetric colloids
• Viscous tweezers: controlling particle orientation with viscosity

Cited by in corpus (7)

• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Odd viscosity suppresses intermittency in direct turbulent cascades
• Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate
• Viscous tweezers: controlling particle orientation with viscosity
• Dumbbell dimer dynamics in three-dimensional chiral fluids
• Linear odd electrophoresis of a sphere in a charged chiral active fluid