Revisiting the Poisson-Boltzmann theory: Charge surfaces, multivalent ions and inter-plate forces

Dan Ben-Yaakov, David Andelman

Research output: Contribution to journalArticlepeer-review

Abstract

The Poisson-Boltzmann (PB) theory is extensively used to gain insight on charged colloids and biological systems as well as to elucidate fundamental properties of intermolecular forces. Many works have been devoted in the past to study PB-related features and to confirm them experimentally. In this work we explore the properties of inter-plate forces in terms of different boundary conditions. We treat the cases of constant surface charge, constant surface potential and mixed boundaries. The interplay between electrostatic interactions, attractive counter-ion release, and repulsive van 't Hoff contribution is discussed separately for each case. Finally,wediscuss how the crossover between attractive and repulsive interactions for constant surface charge case is influenced by the presence of multivalent counter-ions, where it is shown that the range of the attractive interaction grows with the valency.

Original languageEnglish
Pages (from-to)2956-2961
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number15
DOIs
StatePublished - 1 Aug 2010

Keywords

  • Poisson-Boltzmann theory

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