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Stokes traction on an active particle.

Günther Turk1, Rajesh Singh1,2, Ronojoy Adhikari1,3

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.

Physical Review. E
|August 17, 2022
PubMed
Summary
This summary is machine-generated.

We solved the traction on spherical active particles in viscous flow. This provides new generalized Stokes laws for force, torque, and Brownian motion in active particle suspensions.

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Area of Science:

  • Physics
  • Fluid Mechanics
  • Statistical Mechanics

Background:

  • Active particle suspensions are crucial in various fields, with their behavior governed by surface traction.
  • Understanding traction is key to modeling the mechanics and statistical mechanics of these systems.

Purpose of the Study:

  • To derive an exact solution for the traction on a spherical active particle in a slow viscous flow.
  • To generalize Stokes laws for force and torque on active particles.

Main Methods:

  • Utilized a direct boundary integral equation approach.
  • Employed simultaneous diagonalization of integral operators in a spherical harmonics basis.
  • Derived linear relations between traction and boundary velocity coefficients.

Main Results:

  • Presented generalized Stokes laws for active spherical particles.
  • Derived simple expressions for dipole and dissipated power in arbitrary flows.
  • Provided an explicit formula for Brownian contributions to traction.

Conclusions:

  • The derived relations offer a comprehensive framework for analyzing active particle behavior.
  • The findings advance the understanding of active matter hydrodynamics and statistical properties.
  • This work facilitates predictions of active colloid dynamics in fluctuating fluids.