Pair dynamics of active force dipoles in an odd-viscous fluid

Abstract

We discuss the lateral dynamics of two active force dipoles, which interact with each other via hydrodynamic interactions in a thin fluid layer that is active and chiral. The fluid layer is modeled as a two-dimensional (2D) compressible fluid with an odd viscosity, while the force dipole (representing an active protein or enzyme) induces a dipolar flow. Taking into account the momentum decay in the 2D fluid, we obtain analytically the mobility tensor that depends on the odd viscosity and includes nonreciprocal hydrodynamic interactions. We find that the particle pair shows spiral behavior due to the transverse flow induced by the odd viscosity. When the magnitude of the odd viscosity is large as compared with the shear viscosity, two types of oscillatory behaviors are seen. One of them can be understood as arising from closed orbits in dynamical systems, and its circular trajectories are determined by the ratio between the magnitude of the odd viscosity and the force dipole. In addition, the phase diagrams of the particle dipolar angles are obtained numerically. Our findings reveal that the nonreciprocal response leads to complex dynamics of active particles embedded in an active fluid with odd viscosity.

arXiv comment14 pages, 9 figures

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Cited by in corpus (9)

• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• Hydrodynamics of an odd active surfer in a chiral fluid
• Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
• Chirotactic response of microswimmers in fluids with odd viscosity
• Odd elasticity of a catalytic micromachine
• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Slip-induced odd viscous flow past a cylinder
• Force Dipole Interactions in Tubular Fluid Membranes
• Hamiltonian Active Particles in Incompressible Fluid Membranes