The Space Charge Model. A new analytical approximation solution of Poisson– Boltzmann equation: the extended homogeneous approximation
https://doi.org/10.17586/2220-8054-2023-14-4-428-437
Abstract
The validity of different analytical approximations solution is studied using the classical Poisson– Boltzmann (PB) equation based on a mean-field description of ions as ideal point charges in combination with the assumption of fully overlapped electrical double layers in the membrane pores. The electrical conductivity is calculated by numerical and approximate analytical methods in order to explain the process of ion transport. In this paper, a new analytical approximation named the extended homogeneous approximation (EH) is presented, which provides better results than the homogeneous approximation based on Donnan theory. Also, the results show that the electrical conductivity calculated by the EH, is coherent with the numerical method within specific limits.
About the Authors
J. Dweik
Jinan University
Lebanon
Lebanon
Jalal Dweik – Jinan university
Tripoli Lebanon – Main Campus: Zaytoun Abi-Samra, P. O. Box: 818
ORCID
H. Farhat
Jinan University
Lebanon
Lebanon
Hassan Farhat – Jinan university
Tripoli Lebanon – Main Campus: Zaytoun Abi-Samra, P. O. Box: 818
J. Younis
Jinan University
Lebanon
Lebanon
Joumana Younis – Jinan university
Tripoli Lebanon – Main Campus: Zaytoun Abi-Samra, P. O. Box: 818
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Review
For citations:
Dweik J., Farhat H., Younis J. The Space Charge Model. A new analytical approximation solution of Poisson– Boltzmann equation: the extended homogeneous approximation. Nanosystems: Physics, Chemistry, Mathematics. 2023;14(4):428-437. https://doi.org/10.17586/2220-8054-2023-14-4-428-437
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