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

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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 languageEnglish
Pages (from-to)45-49
Number of pages5
JournalJournal of Colloid and Interface Science
Volume258
Issue number1
DOIs
Publication statusPublished - 1 Feb 2003
Externally publishedYes

Keywords

  • Charged colloid
  • Charged cylinder
  • Charged sphere
  • Poisson-Boltzmann equation
  • Polyelectrolytes

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