The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results

Details The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results

2010-10-24

arxiv.org/abs/1010.4944v1

Physics

Classical Physics

4 pages, 5 eps figures

Scientific paper

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, 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.

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