New considerations of the Poisson–Boltzmann equation

José Luis López-Fontán, Cibrán Santamarina and Félix Sarmiento

Physica A: Statistical Mechanics and its Applications, 2007, vol. 377, issue 1, 15-23

Abstract: A generalization of the Poisson–Boltzmann equation solution has been obtained as a function of a single parameter that is only temperature and concentration dependent. This new solution improves the analytical expressions for the surface charge density/surface potential relationship stated by other authors and shows excellent agreement with the exact numerical values obtained by Loeb, Overbeek and Wiersema [The Electrical Double Layer Around a Spherical Colloidal Particle, MIT Press, Cambridge, MA, 1961].

Keywords: Poisson–Boltzmann equation; Charged fluids; Colloidal particles (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:377:y:2007:i:1:p:15-23

DOI: 10.1016/j.physa.2006.11.004

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