Abstract
An approximate kinetic theory is used to compute the velocity autocorrelation function (VACF) in a hard-sphere crystal. In general the theory predicts that the VACF is oscillatory in time. However, in practice, near coexistence the oscillations will be difficult if not impossible to observe because by the time the oscillations occur the VACF has decayed almost to zero. At higher densities the theory predicts that the oscillations are probably just barely observable. In all cases the time integral of the VACF is zero.
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Kirkpatrick, T.R. Does the velocity autocorrelation function oscillate in a hard-sphere crystal?. J Stat Phys 57, 483–496 (1989). https://doi.org/10.1007/BF01022818
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DOI: https://doi.org/10.1007/BF01022818