Theorem on the Distribution of Short Time Single Particle Displacements

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dc.creatorvan Zon, R.
dc.creatorCohen, E. G. D.
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:29:21Z
dc.date.available2026-07-07T06:29:21Z
dc.descriptionThe 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.
dc.descriptionShort 8 page pedagogical review of cond-mat/0505734 for Proc. of "News, Expectations and Trends in Statistical Physics", Crete 2005
dc.identifierhttps://arxiv.org/abs/cond-mat/0510004
dc.identifierhttp://arxiv.org/abs/cond-mat/0510004
dc.identifierPhysica A 365, 108-112 (2006)
dc.identifierdoi:10.1016/j.physa.2006.01.035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97999
dc.subjectStatistical Mechanics
dc.titleTheorem on the Distribution of Short Time Single Particle Displacements
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