The Poisson-Boltzmann Equation An Introduction /
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...
Furkejuvvon:
| Váldodahkki: | |
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| Searvvušdahkki: | |
| Materiálatiipa: | Elektrovnnalaš E-girji |
| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Preanttus: | 1st ed. 2023. |
| Ráidu: | SpringerBriefs in Physics,
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| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1007/978-3-031-24782-8 |
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| Čoahkkáigeassu: | 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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| Olgguldas hápmi: | 1 online resource (XIV, 101 p. 20 illus.). 16 illus. in color. |
| ISBN: | 9783031247828 |
| ISSN: | 2191-5431 |
| DOI: | 10.1007/978-3-031-24782-8 |