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Incorporation of Non-Electrostatic Interactions in the Poisson-Boltzmann Equation



L L. Lue, N Zoeller, D Blankschtein


We develop a general formalism for including non-electrostatic interactions, such as excluded volume interactions, in the Poisson-Boltzmann (PB) equation. The resulting theory can be applied to any boundary condition and is as easy to numerically implement as the original PB equation. As a specific example, we combine the PB equation with the Boublik-Mansoori-Carnahan-Starling equation of state to model charged hard-sphere systems. This theory is applied to a charged sphere immersed in a salt solution, and the electric field and ion distribution about the sphere is computed.


electrolyte solutions, mean-field theory, Poisson-Boltzmann equation


Lue, L. , Zoeller, N. and Blankschtein, D. (1999), Incorporation of Non-Electrostatic Interactions in the Poisson-Boltzmann Equation, Langmuir (Accessed April 12, 2024)
Created December 18, 1999, Updated June 2, 2021