Starting from the N-particle Smoluchowski equation without hydrodynamic interactions the authors derived an expression for the mean square displacement by modelling the memory function entered in the equation for the incoherent scattering function. The numerical evaluation of that expression is done for the case of spherical particles interacting via a screened Coulombic potential. The results of this theory compare favourably with computer simulation results.
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Arauz-Lara et al. (1986) studied this question.
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