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We present molecular dynamics simulations of the motion of a single rigid rodin a disordered static 2d-array of disk-like obstacles. Two differentconfigurations have been used for the latter: A completely random one, andwhich thus has an inhomogeneous structure, and an homogeneous ``glassy'' one,obtained from freezing a liquid of soft disks in equilibrium. Small differencesare observed between both structures for the translational dynamics of the rodcenter-of-mass. In contrast to this, the rotational dynamics in the glassy hostmedium is strongly slowed down in comparison with the random one. We calculateangular correlation functions for a wide range of rod length $L$ and density ofobstacles $\rho$ as control parameters. A two-step decay is observed for largevalues of $L$ and $\rho$, in analogy with supercooled liquids at temperatureclose to the glass transition. In agreement with the prediction of the ModeCoupling Theory, a time-length and time-density scaling is obtained. In orderto get insight on the relation between the heterogeneity of the dynamics andthe structure of the host medium, we determine the deviations from Gaussianityat different length scales. Strong deviations are obtained even at spatialscales much larger than the rod length. The magnitude of these deviations isindependent of the nature of the host medium. This result suggests that thelarge scale translational dynamics of the rod is affected only weakly by thepresence of inhomogeneities in the host medium.Comment: Published in AIP Conference Proceedings 708 (2004) 576-58

Dynamics of a rod in a homogeneous/inhomogeneous frozen disordered medium: Correlation functions and non-Gaussian effects