Theorem on the distribution of short time single particle displacements

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.

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Year of publication:	2006
Authors:	van Zon, R. ; Cohen, E.G.D.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 365.2006, 1, p. 108-112
Publisher:	Elsevier
Subject:	Fluctuations \| Non-Gaussian effects \| Cumulants \| Time expansion

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010589022