Stokesian swimmers and active particles

Abstract

The net steady state flow pattern of a distorting sphere is studied in the framework of the bilinear theory of swimming at low Reynolds number. It is argued that the starting point of a theory of interacting active particles should be based on such a calculation, since any arbitrarily chosen steady state flow pattern is not necessarily the result of a swimming motion. Furthermore, it is stressed that as a rule the phase of stroke is relevant in hydrodynamic interactions, so that the net flow pattern must be used with caution.

11 pages, 6 figures

References in corpus (6)

• Collective motion
• The Mechanics and Statistics of Active Matter
• Direct measurement of the flow field around swimming microorganisms
• Oscillatory Flows Induced by Microorganisms Swimming in Two-dimensions
• Irreducible Representations Of Oscillatory And Swirling Flows In Active Soft Matter
• Optimal translational swimming of a sphere at low Reynolds number

Cited by in corpus (8)

• Colloidal transport by active filaments
• Effect of fluid inertia on swimming of a sphere in a viscous incompressible fluid
• Effective medium model for a suspension of active swimmers
• Second harmonic generation and vortex shedding by a dipole-quadrupole and a quadrupole-octupole swimmer in a viscous incompressible fluid
• Swimming of a uniform deformable sphere in a viscous incompressible fluid with inertia
• Spinning swimming of Volvox by tangential helical wave
• Swimming of a sphere in a viscous incompressible fluid with inertia
• Brownian microhydrodynamics of active filaments