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Using dynamical density functional theory (DDFT), we theoretically studyBrownian self-diffusion and structural relaxation of hard disks and compare toexperimental results on quasi two-dimensional colloidal hard spheres. To thisend, we calculate the self and distinct van Hove correlation functions byextending a recently proposed DDFT-approach for three-dimensional systems totwo dimensions. We find that the theoretical results for both self- anddistinct part of the van Hove function are in very good quantitative agreementwith the experiments up to relatively high fluid packing fractions of roughly0.60. However, at even higher densities, deviations between experiment and thetheoretical approach become clearly visible. Upon increasing packing fraction,in experiments the short-time self diffusive behavior is strongly affected byhydrodynamic effects and leads to a significant decrease in the respectivemean-squared displacement. In contrast, and in accordance with previoussimulation studies, the present DDFT which neglects hydrodynamic effects, showsno dependence on the particle density for this quantity.

Bulk dynamics of Brownian hard disks: Dynamical density functional theory versus experiments on two-dimensional colloidal hard spheres