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Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

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Incorporation of nonelectrostatic interactions in the Poisson- Boltzmann equation

Lue, L. and Zoeller, N. and Blankschtein, D. (1999) Incorporation of nonelectrostatic interactions in the Poisson- Boltzmann equation. Langmuir, 15 (11). pp. 3726-3730.

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We develop a general formalism for including nonelectrostatic 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 are computed.