The generalized Smoluchowski equation is solved exactly for two particles interacting via a hard core potential in one, two, and three dimensions without the hydrodynamic interaction. From this solution coherent and incoherent intermediate scattering functions, memory functions, and transport coefficients are calculated. While many results relating to mutual diffusion are known, new results relating to self-diffusion are presented. These are compared with other exact and approximate results. The ’’hydrodynamic regime’’ for dynamic light scattering is discussed.
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Ackerson et al. (1982) studied this question.
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