Abstract
We report an analysis of the mean‐square‐displacement of single particle motions in single‐layered, multi‐layered, and 3‐dimensional (3D) colloidal crystals by digital video microscopy. The essential feature of the time evolution of the mean‐square‐displacement for thin‐layered colloidal crystals is the logarithmic divergence in the large delay‐time region. With an increase in the number of layers, such divergence diminishes and the long delay‐time behavior gradually approaches the convergence seen for a 3D crystal. Theoretical calculations based on an over‐damped bead‐spring lattice model are in good agreement with the experimental results.
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