{"product_id":"the-poisson-boltzmann-equation-ralf-blossey-9783031247811","title":"The Poisson-Boltzmann Equation: An Introduction","description":"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?kel 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. \u003cbr\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. After studying this book, a graduate student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background. \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ralf Blossey\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031247817\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031247811\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/24\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 101\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.38lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.24d","brand":"Ralf Blossey","offers":[{"title":"Paperback","offer_id":44201842475263,"sku":"9783031247811","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e08ba629-90ef-4aca-9ec4-ce68e11ad5b1.jpg?v=1691491739","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-poisson-boltzmann-equation-ralf-blossey-9783031247811","provider":"WR Book House","version":"1.0","type":"link"}