The displacement-displacement space time correlation functions are calculated for a cubic harmonic lattice embedded in a viscous fluid. For the one-dimensional case we find a |t| type of behavior of the correlation functions at long times. This may lead to observable effects in the dynamic structure factors. A strong dependence of the static and dynamic structure factors both on the angle of scattering and on the orientation of the lattice, is found.
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Imry et al. (1974) studied this question.
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