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We present numerical results for the tagged-particle dynamics by solving themode-coupling theory in confined geometry for colloidal liquids (cMCT). We showthat neither the microscopic dynamics nor the type of intermediate scatteringfunction qualitatively changes the asymptotic dynamics in vicinity of the glasstransition. In particular, we find similar characteristics of confinement inthe low-frequency susceptibility spectrum which we interpret as footprints ofparallel relaxation. We derive predictions for the localization length and thescaling of the diffusion coefficient in the supercooled regime and discover apronounced non-monotonic dependence on the confinement length. For diluteliquids in the hydrodynamic limit we calculate an analytical expression for theintermediate scattering functions, which is in perfect agreement withevent-driven Brownian dynamics simulations. From this, we derive an expressionfor persistent anti-correlations in the velocity autocorrelation function(VACF) for confined motion. Using numerical results of the cMCT equations forthe VACF we also identify a cross-over between different scalings correspondingto a transition from unconfined to confined behaviour.

Tagged-particle dynamics in confined colloidal liquids