Abstract
We study the long-time self-diffusion coefficient and the zero-frequency effective viscosity for a suspension of spherical Brownian particles. The correction to first order in the volume fraction to the self-diffusion coefficient and the correction to second order in the volume fraction to the effective viscosity are given by integral expressions derived by Batchelor. Using exact series expansions of the hydrodynamic interaction functions in powers of the inverse distance between centers of a pair of particles we obtain accurate values for the correction terms. We consider hard spheres with mixed slip-stick boundary conditions as well as spherical liquid droplets with a viscosity different from the bulk.
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