Title The Poisson-Boltzmann Equation : An Introduction Author(s) Blossey, Ralf Publication Cham, 1. Imprint: Springer 2. Springer International Publishing, 2023. Description XIV, 101 p. 20 illus., 16 illus. in color : online resource Abstract Note 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-H??ckel 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. ISBN,Price 9783031247828 Keyword(s) 1. DIFFERENTIAL EQUATIONS 2. EBOOK - SPRINGER 3. Electrochemistry 4. STATISTICAL PHYSICS 5. Surfaces (Technology) 6. Surfaces, Interfaces and Thin Film 7. THIN FILMS Item Type eBook Multi-Media Links media link description Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I12614     On Shelf