Solving the Poisson-Boltzmann equation for two parallel cylinders

Daniel Harries

doi:10.1021/la971314b

Solving the Poisson-Boltzmann equation for two parallel cylinders

Daniel Harries^*

^*Corresponding author for this work

Institute of Chemistry

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

37 Scopus citations

Abstract

The electrostatic interaction between two parallel charged cylinders of arbitrary diameters a₁ and a₂ is studied by solving numerically the nonlinear Poisson- Boltzmann equation. A limit of particular interest is that of a charged cylinder interacting with a charged plane (a₁ → ∞). The interaction free energy is calculated, as a function of the separation distance between the cylinders, for either fixed charge density or mixed (fixed charge, fixed potential) boundary conditions.

Original language	English
Pages (from-to)	3149-3152
Number of pages	4
Journal	Langmuir
Volume	14
Issue number	12
DOIs	https://doi.org/10.1021/la971314b
State	Published - 9 Jun 1998

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10.1021/la971314b

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abstract = "The electrostatic interaction between two parallel charged cylinders of arbitrary diameters a1 and a2 is studied by solving numerically the nonlinear Poisson- Boltzmann equation. A limit of particular interest is that of a charged cylinder interacting with a charged plane (a1 → ∞). The interaction free energy is calculated, as a function of the separation distance between the cylinders, for either fixed charge density or mixed (fixed charge, fixed potential) boundary conditions.",

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AB - The electrostatic interaction between two parallel charged cylinders of arbitrary diameters a1 and a2 is studied by solving numerically the nonlinear Poisson- Boltzmann equation. A limit of particular interest is that of a charged cylinder interacting with a charged plane (a1 → ∞). The interaction free energy is calculated, as a function of the separation distance between the cylinders, for either fixed charge density or mixed (fixed charge, fixed potential) boundary conditions.

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Solving the Poisson-Boltzmann equation for two parallel cylinders

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