Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2804
Title: Analytical solution of Poisson-Boltzmann equation for interacting plates of arbitrary potentials and same sign
Authors: Polat, Mehmet
Polat, Hürriyet
Polat, Mehmet
Polat, Hürriyet
Izmir Institute of Technology. Chemical Engineering
Izmir Institute of Technology. Chemistry
Keywords: Poisson equation
Analytical solution
Colloidal
Electrostatic interaction
Poisson-Boltzmann
Issue Date: Jan-2010
Publisher: Elsevier Ltd.
Source: Polat, M., and Polat, H. (2010). Analytical solution of Poisson-Boltzmann equation for interacting plates of arbitrary potentials and same sign. Journal of Colloid and Interface Science, 341(1), 178-185. doi:10.1016/j.jcis.2009.09.008
Abstract: Efficient calculation of electrostatic interactions in colloidal systems is becoming more important with the advent of such probing techniques as atomic force microscopy. Such practice requires solving the nonlinear Poisson-Boltzmann equation (PBE). Unfortunately, explicit analytical solutions are available only for the weakly charged surfaces. Analysis of arbitrarily charged surfaces is possible only through cumbersome numerical computations. A compact analytical solution of the one-dimensional PBE is presented for two plates interacting in symmetrical electrolytes. The plates can have arbitrary surface potentials at infinite separation as long they have the same sign. Such a condition covers a majority of the colloidal systems encountered. The solution leads to a simple relationship which permits determination of surface potentials, surface charge densities, and electrostatic pressures as a function of plate separation H for different charging scenarios. An analytical expression is also presented for the potential profile between the plates for a given separation. Comparison of these potential profiles with those obtained by numerical analysis shows the validity of the proposed solution. © 2009 Elsevier Inc. All rights reserved.
URI: http://doi.org/10.1016/j.jcis.2009.09.008
http://hdl.handle.net/11147/2804
ISSN: 0021-9797
0021-9797
Appears in Collections:Chemical Engineering / Kimya Mühendisliği
Chemistry / Kimya
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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