书目名称 | The Poisson-Boltzmann Equation |
副标题 | An Introduction |
编辑 | Ralf Blossey |
视频video | |
概述 | The first concise introduction to Poisson-Boltzmann theory.Ranging from theoretical concepts to an instructive application with comparison to experiment.Accessible to advanced students and researchers |
丛书名称 | SpringerBriefs in Physics |
图书封面 |  |
描述 | 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 |
出版日期 | Book 2023 |
关键词 | Surface tension of electrolytes; Dipolar-Poisson-Boltzmann equation; Debye-Hückel approach; Nonlinear T |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-24782-8 |
isbn_softcover | 978-3-031-24781-1 |
isbn_ebook | 978-3-031-24782-8Series ISSN 2191-5423 Series E-ISSN 2191-5431 |
issn_series | 2191-5423 |
copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2023 |