Stability of charge inversion, Thomson problem, and application to electrophoresis

Michael Patra, Marco Patriarca, and Mikko Karttunen
Phys. Rev. E 67, 031402 – Published 20 March 2003
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Abstract

We analyze charge inversion in colloidal systems at zero temperature using stability concepts, and connect this to the classical Thomson problem of arranging electrons on sphere. We show that for a finite microion charge, the globally stable, lowest-energy state of the complex formed by the colloid and the oppositely charged microions is always overcharged. This effect disappears in the continuous limit. Additionally, a layer of at least twice as many microions as required for charge neutrality is always locally stable. In an applied external electric field the stability of the microion cloud is reduced. Finally, this approach is applied to a system of two colloids at low but finite temperature.

  • Received 5 November 2002

DOI:https://doi.org/10.1103/PhysRevE.67.031402

©2003 American Physical Society

Authors & Affiliations

Michael Patra, Marco Patriarca, and Mikko Karttunen

  • Biophysics and Statistical Mechanics Group, Laboratory for Computational Engineering, Helsinki University of Technology, P.O. Box 9203, FIN-02015 HUT, Finland

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Vol. 67, Iss. 3 — March 2003

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