The electric double layer structure around charged spherical interfaces

Zhenwei Yao; Mark J. Bowick; Xu Ma

doi:10.1063/1.3681147

The electric double layer structure around charged spherical interfaces

Zhenwei Yao, Mark J. Bowick, Xu Ma

Department of Physics

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

2 Scopus citations

Abstract

We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is determined, and its superiority over the linearized solution is demonstrated.

Original language	English (US)
Article number	044106
Journal	Journal of Chemical Physics
Volume	136
Issue number	4
DOIs	https://doi.org/10.1063/1.3681147
State	Published - Jan 28 2012

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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@article{58d43658682f4c7d8ed5779250696e28,

title = "The electric double layer structure around charged spherical interfaces",

abstract = "We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is determined, and its superiority over the linearized solution is demonstrated.",

author = "Zhenwei Yao and Bowick, {Mark J.} and Xu Ma",

note = "Funding Information: We thank Shiliyang Xu for discussions. This work was supported by the National Science Foundation grant DMR-0808812 and by funds from Syracuse University.",

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AU - Yao, Zhenwei

AU - Bowick, Mark J.

AU - Ma, Xu

N1 - Funding Information: We thank Shiliyang Xu for discussions. This work was supported by the National Science Foundation grant DMR-0808812 and by funds from Syracuse University.

PY - 2012/1/28

Y1 - 2012/1/28

N2 - We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is determined, and its superiority over the linearized solution is demonstrated.

AB - We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is determined, and its superiority over the linearized solution is demonstrated.

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The electric double layer structure around charged spherical interfaces

Abstract

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