  We study the dynamics of colloidal suspensions of hard spheres that are
subject to Brownian motion in the overdamped limit. We obtain the time
evolution of the self and distinct parts of the van Hove function by means of
dynamical density functional theory (DDFT). The free energy model for the hard
sphere fluid that we use is the very accurate White Bear II version of
Rosenfeld's fundamental measure theory. However, in order to remove
interactions within the self part of the van Hove function a non-trivial
modification has to be applied to the free energy functional. We compare our
theoretical results with data that we obtain from dynamical Monte Carlo
simulations and find that the latter are well described by our approach even
for colloid packing fractions as large as 40%.
