TITLE:
Effects of Small Permanent Charge on PNP Models
AUTHORS:
Guojian Lin
KEYWORDS:
PNP Model, Permanent Charge, Ionic Flow
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.9,
September
26,
2021
ABSTRACT: In this paper, a stationary one-dimensional Poisson-Nernst-Planck model with permanent charge is studied under the assumption that n - 1 positively charged ion species have the same valence and the permanent charge is small. By expanding the singular solutions of Poisson-Nernst-Planck model with respect to small permanent charge, the explicit formulae for the zeroth order approximation and the first order approximation of individual flux can be obtained. Based on these explicit formulae, the effects of small permanent charges on individual flux are investigated.