Propagation-Dispersion Equation

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dc.creatorBoon, Jean Pierre
dc.creatorGrosfils, Patrick
dc.creatorLutsko, James F.
dc.date2001-08-27
dc.date2002-12-11
dc.date.accessioned2026-07-07T02:42:31Z
dc.date.available2026-07-07T02:42:31Z
dc.descriptionA {\em propagation-dispersion equation} is derived for the first passage distribution function of a particle moving on a substrate with time delays. The equation is obtained as the continuous limit of the {\em first visit equation}, an exact microscopic finite difference equation describing the motion of a particle on a lattice whose sites operate as {\em time-delayers}. The propagation-dispersion equation should be contrasted with the advection-diffusion equation (or the classical Fokker-Planck equation) as it describes a dispersion process in {\em time} (instead of diffusion in space) with a drift expressed by a propagation speed with non-zero bounded values. The {\em temporal dispersion} coefficient is shown to exhibit a form analogous to Taylor's dispersivity. Physical systems where the propagation-dispersion equation applies are discussed.
dc.description12 pages+ 5 figures, revised and extended version
dc.identifierhttps://arxiv.org/abs/cond-mat/0108420
dc.identifierhttp://arxiv.org/abs/cond-mat/0108420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18176
dc.subjectStatistical Mechanics
dc.titlePropagation-Dispersion Equation
dc.typetext

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