Journal of Applied Mathematics and Physics

Volume 9, Issue 9 (September 2021)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Effects of Small Permanent Charge on PNP Models

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DOI: 10.4236/jamp.2021.99147    125 Downloads   501 Views  Citations
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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.

Share and Cite:

Lin, G. (2021) Effects of Small Permanent Charge on PNP Models. Journal of Applied Mathematics and Physics, 9, 2321-2333. doi: 10.4236/jamp.2021.99147.

Cited by

[1] A Flux Ratio Independent of the Permanent Charge in PNP Models
Journal of Applied Mathematics and Physics, 2023

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