Finite Domain Effects in Steady State Solutions of Poisson--Nernst--Planck Equations
نویسندگان
چکیده
منابع مشابه
Singular perturbation solutions of steady-state Poisson-Nernst-Planck systems.
We study the Poisson-Nernst-Planck (PNP) system with an arbitrary number of ion species with arbitrary valences in the absence of fixed charges. Assuming point charges and that the Debye length is small relative to the domain size, we derive an asymptotic formula for the steady-state solution by matching outer and boundary layer solutions. The case of two ionic species has been extensively stud...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2019
ISSN: 0036-1399,1095-712X
DOI: 10.1137/18m1185946