The curved kinetic boundary layer of active matter

Abstract

The finite reorient-time of swimmers leads to a finite run length $\ell$ and the kinetic accumulation boundary layer on the microscopic length scale $\delta$ on a non-penetrating wall. That boundary layer is the microscopic origin of the swim pressure, and is impacted by the geometry of the boundary [Yan \& Brady, \textit{J. Fluid. Mech.}, 2015, \textbf{785}, R1]. In this work we extend the analysis to analytically solve the boundary layer on an arbitrary-shaped body distorted by the local mean curvature. The solution gives the swim pressure distribution and the total force (torque) on an arbitrarily shaped body immersed in swimmers, with a general scaling of the curvature effect ${\Pi }^{swim}\sim \lambda {\delta }^2/L$.

References in corpus (7)

• Swimming in circles: Motion of bacteria near solid boundaries
• Hydrodynamic attraction of swimming microorganisms by surfaces
• Dynamics of Self-Propelled Particles Under Strong Confinement
• Transport powered by bacterial turbulence
• Rheotaxis of spherical active particles near a planar wall
• Swim pressure on walls with curves and corners
• On the distribution and swim pressure of run-and-tumble particles in confinement

Cited by in corpus (17)

• Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
• Transport and dispersion of active particles in periodic porous media
• Collective forces in scalar active matter
• Active phase separation: new phenomenology from non-equilibrium physics
• A comparative study between two models of active cluster-crystals
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Active particles with polar alignment in ring-shaped confinement
• Passive particle in an active bath: How can we tell it is out of equilibrium?
• Vorticity Determines the Force on Bodies Immersed in Active Fluids
• Response of active Brownian particles to boundary driving
• Force renormalization for probes immersed in an active bath
• Activity-induced propulsion of a vesicle
• Kinetic temperature and pressure of an active Tonks gas
• Anisotropic swim stress in active matter with nematic order
• Forced microrheology of active colloids
• Macrotransport of active particles in periodic channels and fields: rectification and dispersion
• Passive Janus Particles Are Self-propelled in Active Nematics