A variational solution of the nonlinear poisson-boltzmann equation inside a spherical cavity

Joan E. Curry; Scott E. Feller; Donald A. McQuarrie

doi:10.1016/0021-9797(91)90285-G

A variational solution of the nonlinear poisson-boltzmann equation inside a spherical cavity

Joan E. Curry, Scott E. Feller, Donald A. McQuarrie

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

13 Scopus citations

Abstract

The nonlinear Poisson-Boltzmann equation is solved variationally to obtain the electrostatic potential profile in a spherical cavity containing an aqueous electrolyte solution. The variational solution is based on the linear solution to the Poisson-Boltzmann equation. It is found that a three-parameter trial function provides sufficient accuracy to make the variational potential profile indistinguishable from exact numerical results. The variational solution is valid over the concentration, size, and surface potential ranges typical of phospholipid vesicles. It is anticipated that this solution will be useful in determining the stability of membraneous vesicles and reverse micelles.

Original language	English (US)
Pages (from-to)	527-531
Number of pages	5
Journal	Journal of Colloid And Interface Science
Volume	143
Issue number	2
DOIs	https://doi.org/10.1016/0021-9797(91)90285-G
State	Published - May 1991
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Biomaterials
Surfaces, Coatings and Films
Colloid and Surface Chemistry

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abstract = "The nonlinear Poisson-Boltzmann equation is solved variationally to obtain the electrostatic potential profile in a spherical cavity containing an aqueous electrolyte solution. The variational solution is based on the linear solution to the Poisson-Boltzmann equation. It is found that a three-parameter trial function provides sufficient accuracy to make the variational potential profile indistinguishable from exact numerical results. The variational solution is valid over the concentration, size, and surface potential ranges typical of phospholipid vesicles. It is anticipated that this solution will be useful in determining the stability of membraneous vesicles and reverse micelles.",

author = "Curry, {Joan E.} and Feller, {Scott E.} and McQuarrie, {Donald A.}",

note = "Funding Information: This work has been supported by the National Science Foundation under Grant NSF EAR 8910530.",

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AU - Curry, Joan E.

AU - Feller, Scott E.

AU - McQuarrie, Donald A.

N1 - Funding Information: This work has been supported by the National Science Foundation under Grant NSF EAR 8910530.

PY - 1991/5

Y1 - 1991/5

N2 - The nonlinear Poisson-Boltzmann equation is solved variationally to obtain the electrostatic potential profile in a spherical cavity containing an aqueous electrolyte solution. The variational solution is based on the linear solution to the Poisson-Boltzmann equation. It is found that a three-parameter trial function provides sufficient accuracy to make the variational potential profile indistinguishable from exact numerical results. The variational solution is valid over the concentration, size, and surface potential ranges typical of phospholipid vesicles. It is anticipated that this solution will be useful in determining the stability of membraneous vesicles and reverse micelles.

AB - The nonlinear Poisson-Boltzmann equation is solved variationally to obtain the electrostatic potential profile in a spherical cavity containing an aqueous electrolyte solution. The variational solution is based on the linear solution to the Poisson-Boltzmann equation. It is found that a three-parameter trial function provides sufficient accuracy to make the variational potential profile indistinguishable from exact numerical results. The variational solution is valid over the concentration, size, and surface potential ranges typical of phospholipid vesicles. It is anticipated that this solution will be useful in determining the stability of membraneous vesicles and reverse micelles.

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SN - 0021-9797

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A variational solution of the nonlinear poisson-boltzmann equation inside a spherical cavity

Abstract

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