Nonlinear electrostatics: the Poisson–Boltzmann equation

DOI10.1088/1361-6404/aaca5azbMath1400.78017arXiv1803.02507OpenAlexW3146399667MaRDI QIDQ4684651

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Publication date: 24 September 2018

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02507

zbMATH Keywords

Gibbs variational principleelectric double layerPoisson-Boltzmann theorydouble-layer free energiesinter-plate forces in electrolytes

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Composite media; random media in optics and electromagnetic theory (78A48) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02) Boltzmann equations (35Q20) Electrochemistry (78A57)

Related Items (4)

Perturbation solutions for the nonlinear Poisson-Boltzmann equation with a high-order-accuracy Debye-Hückel approximation ⋮ Nonlinear electrostatics: the Poisson–Boltzmann equation ⋮ Multidomain Chebyshev pseudo-spectral method applied to the Poisson-Boltzmann equation for two parallel plates ⋮ On the Gouy-Chapman-Stern model of the electrical double-layer structure with a generalized Boltzmann factor

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