Theorem on the Distribution of Short Time Single Particle Displacements

R. van Zon; E. G. D. Cohen

doi:10.1016/j.physa.2006.01.035

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Theorem on the Distribution of Short Time Single Particle Displacements

R. van Zon·E. G. D. Cohen

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Abstract

The distribution of the initial very short-time displacements of a single particle is considered for a class of classical systems with Gaussian initial velocity distributions and arbitrary initial particle positions. A very brief sketch is given of a rather intricate and lengthy proof that for this class of systems the nth order cumulants behave as t^{2n} for all n>2, rather than as t^{n}. We also briefly discuss some physical consequences for liquids.

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R. van Zon, E. G. D. Cohen. 2005-09-30. Theorem on the Distribution of Short Time Single Particle Displacements. https://doi.org/10.1016/j.physa.2006.01.035

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