Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

R. Tuinier

doi:10.1016/S0021-9797(02)00142-X

Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

R. Tuinier

Research output: Contribution to journal › Article › Academic › peer-review

47 Citations (Scopus)

Abstract

Approximate solutions of the Poisson-Boltzmann equation are given for the electrostatic potentials around a charged sphere and charged cylinder. The expressions are obtained from combining various results in limits where exact solutions are available. The proposed equations match with numerical solutions to the Poisson-Boltzmann equation for arbitrary values of the double layer thickness.

Original language	English
Pages (from-to)	45-49
Number of pages	5
Journal	Journal of Colloid and Interface Science
Volume	258
Issue number	1
DOIs	https://doi.org/10.1016/S0021-9797(02)00142-X
Publication status	Published - 1 Feb 2003
Externally published	Yes

Keywords

Charged colloid
Charged cylinder
Charged sphere
Poisson-Boltzmann equation
Polyelectrolytes

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10.1016/S0021-9797(02)00142-X

Cite this

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title = "Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry",

abstract = "Approximate solutions of the Poisson-Boltzmann equation are given for the electrostatic potentials around a charged sphere and charged cylinder. The expressions are obtained from combining various results in limits where exact solutions are available. The proposed equations match with numerical solutions to the Poisson-Boltzmann equation for arbitrary values of the double layer thickness.",

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AB - Approximate solutions of the Poisson-Boltzmann equation are given for the electrostatic potentials around a charged sphere and charged cylinder. The expressions are obtained from combining various results in limits where exact solutions are available. The proposed equations match with numerical solutions to the Poisson-Boltzmann equation for arbitrary values of the double layer thickness.

KW - Charged colloid

KW - Charged cylinder

KW - Charged sphere

KW - Poisson-Boltzmann equation

KW - Polyelectrolytes

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JF - Journal of Colloid and Interface Science

IS - 1

ER -

Approximate solutions to the Poisson-Boltzmann equation in spherical and cylindrical geometry

Abstract

Keywords

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