Physics – Chemical Physics
Scientific paper
2008-03-10
I. D. Kosi\'nska, I. Goychuk, M. Kostur, G. Schmid, P. H\"anggi, Acta Phys. Pol. B 39 (2008) 1137-1160
Physics
Chemical Physics
27 pages, 8 figures, conference: Marian Smoluchowski Symposium on Statistical Physics Zakopane, Poland, September 22-29, 2007
Scientific paper
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/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.
Goychuk Igor
Hänggi Peter
Kosińska Ilona Dominika
Kostur Marcin
Schmid Gerhard
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