A brief review of continuous models for ionic solutions: the Poisson–Boltzmann and related theories

DOI10.1088/1572-9494/AB8A23zbMath1451.35102arXiv2001.06851OpenAlexW3002405287MaRDI QIDQ5143447

Yanting Wang, Mao Su

Publication date: 12 January 2021

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06851

zbMATH Keywords

mean field theoryPoisson-Boltzmann theoryion correlationfield-theoretic approachionic solution

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Boltzmann equations (35Q20)

Cites Work

• Solving fluctuation-enhanced Poisson-Boltzmann equations
• Introduction to statistical field theory: from a toy model to a one-component plasma
• Analysis of the Mean Field Free Energy Functional of Electrolyte Solution with Nonhomogenous Boundary Conditions and the Generalized PB/PNP Equations with Inhomogeneous Dielectric Permittivity
• On the Theory of Strong Electrolyte Solutions
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