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The Poisson-Boltzmann Equation: An Introduction

The Poisson-Boltzmann Equation: An Introduction

Paperback

Series: Springerbriefs in Physics

ChemistryGeneral MathematicsPhysics

ISBN10: 3031247817
ISBN13: 9783031247811
Publisher: Springer Nature
Published: Feb 24 2023
Pages: 101
Weight: 0.38
Height: 0.24 Width: 6.14 Depth: 9.21
Language: English
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.

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Blossey, Ralf

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Physics