The Poisson-Boltzmann theory for the two-plates problem: Some exact results



The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric electrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this we derive some exact asymptotic results for the interaction between charged plates, as well as the exact form of the renormalized surface charge density.

Key words

Poisson-Boltzmann charged colloids ionic systems Debye Length Gouy-Chapmann 


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© International Association of Scientists in the Interdisciplinary Areas and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of Natural Sciences and Department of PhysicsShanghai Jiao Tong UniversityShanghaiChina

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