Theorem on the distribution of short time single particle displacements

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

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 108-112

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 t2n for all n>2, rather than as tn. We also briefly discuss some physical consequences for liquids.

Keywords: Fluctuations; Non-Gaussian effects; Cumulants; Time expansion (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:108-112

DOI: 10.1016/j.physa.2006.01.035

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