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- W4283815801 abstract "The mechanics and statistical mechanics of a suspension of active particles are determined by the traction (force per unit area) on their surfaces. Here we present an exact solution of the direct boundary integral equation for the traction on a spherical active particle in an imposed slow viscous flow. Both single- and double-layer integral operators can be simultaneously diagonalised in a basis of irreducible tensorial spherical harmonics and the solution, thus, can be presented as an infinite number of linear relations between the harmonic coefficients of the traction and the velocity at the boundary of the particle. These generalise Stokes laws for the force and torque. Using these relations we obtain simple expressions for physically relevant quantities such as the symmetric-irreducible dipole acting on, or the power dissipated by, an active particle in an arbitrary imposed flow. We further present an explicit expression for the variance of the Brownian contributions to the traction on an active colloid in a thermally fluctuating fluid." @default.
- W4283815801 created "2022-07-06" @default.
- W4283815801 creator A5015093594 @default.
- W4283815801 creator A5048979286 @default.
- W4283815801 creator A5063791835 @default.
- W4283815801 date "2022-07-05" @default.
- W4283815801 modified "2023-09-26" @default.
- W4283815801 title "Stokes traction on an active particle" @default.
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- W4283815801 doi "https://doi.org/10.1103/physreve.106.014601" @default.
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- W4283815801 hasPublicationYear "2022" @default.
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