The Poisson-Boltzmann Equation : An Introduction / / Ralf Blossey
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| Autore: |
Blossey Ralf
|
| Titolo: |
The Poisson-Boltzmann Equation : An Introduction / / Ralf Blossey
|
| Pubblicazione: | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023] |
| ©2023 | |
| Edizione: | First edition. |
| Descrizione fisica: | 1 online resource (113 pages) |
| Disciplina: | 512.9 |
| Soggetto topico: | Equations |
| Poisson's equation | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Derivation of the Poisson-Boltzmann equation -- Generalizations of the Poisson-Boltzmann equation -- Theory and its Confrontation with Experiment. |
| Sommario/riassunto: | 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. . |
| Titolo autorizzato: | The Poisson-Boltzmann Equation |
| ISBN: | 9783031247828 |
| 9783031247811 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910739477103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in physics.