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We solved the mode-coupling equations for the Kob-Andersen binary mixtureusing the structure factors calculated from Brownian dynamics simulations ofthe same system. We found, as was previously observed, that the mode-couplingtemperature, Tc, inferred from simulations is about two times greater than thatpredicted by the theory. However, we find that many time dependent quantitiesagree reasonably well with the predictions of the mode-coupling theory if theyare compared at the same reduced temperature epsilon = (T-Tc)/Tc, and ifepsilon is not too small. Specifically, the simulation results for theincoherent intermediate scattering function, the mean square displacement, therelaxation time and the self-diffusion coefficient agree reasonably well withthe predictions of the mode-coupling theory. We find that there are substantialdifferences for the non-Gaussian parameter. At small reduced temperatures theprobabilities of the logarithm of single particle displacements demonstratethat there is hopping-like motion present in the simulations, and this motionis not predicted by the mode-coupling theory. The wave vector dependentrelaxation time is shown to be qualitatively different than the predictions ofthe mode-coupling theory for temperatures where hopping-like motion is present.Comment: To be published in Physical Review

Relaxation in a glassy binary mixture: Comparison of the mode-coupling theory to a Brownian dynamics simulation