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We study the effects of hydrodynamic interactions on the diffusion of hard spheres in concentrated suspensions. Using a multiple-light-scattering technique that measures the early-time behavior, we find D₄₅₅/D₀=1- (1. 860. 07), where is the volume fraction of spheres, D₄₅₅ is the effective diffusion coefficient, and D₀ is the free-particle diffusion coefficient. This agrees with the linear term calculated theoretically for short-time self-diffusion. The short-time diffusion coefficient is also found to be continuous across the freezing transition.
Qiu et al. (Mon,) studied this question.