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Computer simulations of a hard sphere system close to the glass transition are presented. From three-time correlations, we obtain information about the single-particle dynamics on all relevant time scales, including the presence of dynamic heterogeneities. A detailed picture of the cage effect in the regime is obtained, yielding information about shape, size, and relaxation properties of the effective cage. Pronounced anisotropic dynamics is mainly observed in the regime.
Doliwa et al. (Mon,) studied this question.