High-field limit of the Vlasov-Poisson-Fokker-Planck system: A comparison of different perturbation methods

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dc.creatorBonilla, L. L.
dc.creatorSoler, J.
dc.date2000-07-10
dc.date.accessioned2026-07-07T02:38:10Z
dc.date.available2026-07-07T02:38:10Z
dc.descriptionA reduced drift-diffusion (Smoluchowski-Poisson) equation is found for the electric charge in the high-field limit of the Vlasov-Poisson-Fokker-Planck system, both in one and three dimensions. The corresponding electric field satisfies a Burgers equation. Three methods are compared in the one-dimensional case: Hilbert expansion, Chapman-Enskog procedure and closure of the hierarchy of equations for the moments of the probability density. Of these methods, only the Chapman-Enskog method is able to systematically yield reduced equations containing terms of different order.
dc.description6 pages, 2 column Revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0007164
dc.identifierhttp://arxiv.org/abs/cond-mat/0007164
dc.identifierMath. Mod. Meth. Appl. Sci. 11 (8), 1457-1468 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16570
dc.subjectStatistical Mechanics
dc.titleHigh-field limit of the Vlasov-Poisson-Fokker-Planck system: A comparison of different perturbation methods
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