Higher-order force moments of active particles

Abstract

Active particles moving through fluids generate disturbance flows due to their activity. For simplicity, the induced flow field is often modeled by the leading terms in a far-field approximation of the Stokes equations, whose coefficients are the force, torque and stresslet (zeroth and first-order force moments) of the active particle. This level of approximation is quite useful, but may also fail to predict more complex behaviors that are observed experimentally. In this study, to provide a better approximation, we evaluate the contribution of the second-order force moments to the flow field and, by reciprocal theorem, present explicit formulas for the stresslet dipole, rotlet dipole and potential dipole for an arbitrarily-shaped active particle. As examples of this method, we derive modified Faxén laws for active spherical particles and resolve higher-order moments for active rod-like particles.

15 pages

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Cited by in corpus (10)

• Exact phoretic interaction of two chemically-active particles
• Minimum Dissipation Theorem for Microswimmers
• Efficiency limits of the three-sphere swimmer
• Active matter invasion of a viscous fluid: unstable sheets and a no-flow theorem
• Exact axisymmetric interaction of phoretically active Janus particles
• Optimal swimmer can be puller, pusher, or neutral depending on the shape
• Modeling chemo-hydrodynamic interactions of phoretic particles: a unified framework
• Active Stokesian Dynamics
• Chirotactic response of microswimmers in fluids with odd viscosity
• Stokes traction on an active particle