A singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modeling

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dc.creatorKosińska, I. D.
dc.creatorGoychuk, I.
dc.creatorKostur, M.
dc.creatorSchmid, G.
dc.creatorHänggi, P.
dc.date2008-03-10
dc.date2008-11-23
dc.date.accessioned2026-07-07T10:19:52Z
dc.date.available2026-07-07T10:19:52Z
dc.descriptionThe reduced 1D Poisson-Nernst-Planck (PNP) model of artificial nanopores in the presence of a permanent charge on the channel wall is studied. More specifically, we consider the limit where the channel length exceed much the Debye screening length and channel's charge is sufficiently small. Ion transport is described by the nonequillibrium steady-state solution of the PNP system within a singular perturbation treatment. The quantities, 1/lambda -- the ratio of the Debye length to a characteristic length scale and epsilon -- the scaled intrinsic charge density, serve as the singular and the regular perturbation parameters, respectively. The role of the boundary conditions is discussed. A comparison between numerics and the analytical results of the singular perturbation theory is presented.
dc.description27 pages, 8 figures, conference: Marian Smoluchowski Symposium on Statistical Physics Zakopane, Poland, September 22-29, 2007
dc.identifierhttps://arxiv.org/abs/0803.1461
dc.identifierhttp://arxiv.org/abs/0803.1461
dc.identifierI. D. Kosińska, I. Goychuk, M. Kostur, G. Schmid, P. Hänggi, Acta Phys. Pol. B 39 (2008) 1137-1160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174668
dc.subjectChemical Physics
dc.subjectBiological Physics
dc.titleA singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modeling
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