Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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

Published

Author(s)

L L. Lue, N Zoeller, D Blankschtein

Abstract

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.
Citation
Langmuir
Volume
15

Keywords

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

Citation

Lue, L. , Zoeller, N. and Blankschtein, D. (1999), Incorporation of Non-Electrostatic Interactions in the Poisson-Boltzmann Equation, Langmuir (Accessed November 13, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created December 18, 1999, Updated June 2, 2021