Skip navigation

Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12128/7242
Title: A singular perturbation approach to the steady-state 1D Poisson-Nernst-Planck modeling
Authors: Kosińska, I. D.
Goychuk, I.
Kostur, Marcin
Schmid, G.
Hanggi, P.
Keywords: ruchy Browna; rachunek zaburzeń; nanopory
Issue Date: 2008
Citation: Acta Physica Polonica B, Vol. 39, no. 5 (2008), s. 1137-1160
Abstract: The 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/λ — the ratio of the Debye length to a characteristic length scale and ǫ — 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.
URI: http://hdl.handle.net/20.500.12128/7242
ISSN: 0587-4254
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Kosinska_A_singular_perturbation_approach.pdf732,57 kBAdobe PDFView/Open
Show full item record


Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons