Ralf Blossey: The Poisson-Boltzmann Equation
The Poisson-Boltzmann Equation
Buch
- An Introduction
- Springer International Publishing, 02/2023
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783031247811
- Bestellnummer: 11413552
- Umfang: 116 Seiten
- Nummer der Auflage: 23001
- Auflage: 1st ed. 2023
- Gewicht: 189 g
- Maße: 235 x 155 mm
- Stärke: 7 mm
- Erscheinungstermin: 24.2.2023
- Serie: SpringerBriefs in Physics
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
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.
Ralf Blossey
The Poisson-Boltzmann Equation
EUR 54,75*