Overview
- The first concise introduction to Poisson-Boltzmann theory
- Ranging from theoretical concepts to an instructive application with comparison to experiment
- Accessible to advanced students and researchers in the field of soft matter physics
Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)
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About this book
Chapter two introduces the statistical physics approach to the Poisson-Boltzmann equation. It allows the treatment of fluctuation effects, treated in the loop expansion, and in a variational approach. First applications are treated in detail: the problem of the surface tension under the addition of salt, a classic problem discussed by Onsager and Samaras in the 1930s, which is developed in modern terms within the loop expansion, and the adsorption of a charged polymer on a like-charged surface within the variational approach.
Chapter three finally discusses the extension of Poisson-Boltzmann theory to explicit solvent. This is done in two ways: on the phenomenological level of nonlocal electrostatics and with a statistical physics model that treats the solvent molecules as molecular dipoles. This model is then treated in the mean-field approximation and with the variational method introduced in Chapter two, rounding up the development of the mathematical approaches of Poisson-Boltzmann theory.
After studying this book, a graduate student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background.
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Bibliographic Information
Book Title: The Poisson-Boltzmann Equation
Book Subtitle: An Introduction
Authors: Ralf Blossey
Series Title: SpringerBriefs in Physics
DOI: https://doi.org/10.1007/978-3-031-24782-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-24781-1Published: 24 February 2023
eBook ISBN: 978-3-031-24782-8Published: 23 February 2023
Series ISSN: 2191-5423
Series E-ISSN: 2191-5431
Edition Number: 1
Number of Pages: XIV, 101
Number of Illustrations: 4 b/w illustrations, 16 illustrations in colour
Topics: Theoretical, Mathematical and Computational Physics, Electrochemistry, Analysis, Surfaces and Interfaces, Thin Films