title: Long-time tails of translational and rotational Brownian motion in a suspension of hard spheres.
abstract: The long-time translational and rotational Brownian motion of a sphere in a suspension of hard spheres is studied on the basis of the linearized Navier-Stokes equations and the fluctuation-dissipation theorem. It is shown that for the rotational long-time coefficient an effective medium conjecture is incorrect. There are short-range velocity correlations that decay at the same rate as the macroscopic flow pattern used in the effective medium conjecture. An estimate of the short-range correction is made on the basis of the pair term in the cluster expansion of the rotational admittance.
authors.affiliation: gesco Consulting Engineers Limited, Niederlassung Deutschland, Am Hecklehamm 6, 76549 Hügelsheim, Germany.
authors.forename: H-G
authors.initials: HG
authors.lastname: Hermanns
authors.forename: B U
authors.initials: BU
authors.lastname: Felderhof