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PHYSICS
The Space Charge Model. A new analytical approximation solution of Poisson–Boltzmann equation: the extended homogeneous approximation
Jalal Dweik, Hassan Farhat, Joumana Younis Jinan University, Tripoli, Lebanon
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.
Keywords:
space charge model, Poisson–Boltzmann (PB) equation, electrical conductivity, extended homogeneous (EH) approximation.
Received: 04.07.2023 Revised: 25.07.2023 Accepted: 28.07.2023
Citation:
Jalal Dweik, Hassan Farhat, Joumana Younis, “The Space Charge Model. A new analytical approximation solution of Poisson–Boltzmann equation: the extended homogeneous approximation”, Nanosystems: Physics, Chemistry, Mathematics, 14:4 (2023), 428–437
Linking options:
https://www.mathnet.ru/eng/nano1208 https://www.mathnet.ru/eng/nano/v14/i4/p428
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Abstract page: | 42 | Full-text PDF : | 22 |
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