The Poisson-Boltzmann Equation : An Introduction Paperback / softback
by Ralf Blossey
Part of the SpringerBriefs in Physics series
Paperback / softback
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Description
This brief book introduces the Poisson-Boltzmann equation in three chapters that build upon one another, offering a systematic entry to advanced students and researchers.
Chapter one formulates the equation and develops the linearized version of Debye-Hückel theory as well as exact solutions to the nonlinear equation in simple geometries and generalizations to higher-order equations. 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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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:101 pages, 16 Illustrations, color; 4 Illustrations, black and white; XIV, 101 p. 20 illus., 16 illu
- Publisher:Springer International Publishing AG
- Publication Date:24/02/2023
- Category:
- ISBN:9783031247811
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- EPUB from £38.24
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:101 pages, 16 Illustrations, color; 4 Illustrations, black and white; XIV, 101 p. 20 illus., 16 illu
- Publisher:Springer International Publishing AG
- Publication Date:24/02/2023
- Category:
- ISBN:9783031247811