{"product_id":"9783031247811","title":"SpringerBriefs in Physics: An Introduction","description":"\u003ch1\u003eSpringerBriefs in Physics: An Introduction\u003c\/h1\u003e \u003ch2\u003eBlossey, Ralf\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cdiv\u003eThis 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. \u003c\/div\u003e\n\u003cdiv\u003e   \u003c\/div\u003e\n\u003cdiv\u003eChapter 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. \u003c\/div\u003e\n\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv\u003eChapter 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.\u003c\/div\u003e\n\u003cdiv\u003e \u003c\/div\u003e\n\u003cdiv\u003eAfter studying this book, a graduate student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background. \u003c\/div\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003e\u003c\/p\u003e\n\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-02-24\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031247811\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-24782-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 101\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44521763930252,"sku":"9783031247811","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031247811.jpg?v=1776516934","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031247811","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}