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[null,"1.","Record Nr.",null,"UNINA9910739477103321"]
[null,null,"Autore",null,"Blossey Ralf"]
[null,null,"Titolo",null,"The Poisson-Boltzmann Equation : An Introduction / / Ralf Blossey"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer Nature Switzerland AG, , [2023]"]
[{"$nulls":4},"©2023"]
[null,null,"ISBN",null,"9783031247828"]
[{"$nulls":4},"9783031247811"]
[null,null,"Edizione",null,"[First edition.]"]
[null,null,"Descrizione fisica",null,"1 online resource (113 pages)"]
[null,null,"Collana",null,"SpringerBriefs in Physics Series"]
[null,null,"Disciplina",null,"512.9"]
[null,null,"Soggetti",null,"Equations"]
[{"$nulls":4},"Poisson's equation"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Derivation of the Poisson-Boltzmann equation -- Generalizations of the Poisson-Boltzmann equation -- Theory and its Confrontation with Experiment."]
[null,null,null,"Sommario/riassunto","This brief book introduces the Poisson-Boltzmann equation in three chapters that build upon one another, offering a systematic entry to advanced students and researchers. Chapter one formulates the equation and develops the linearized version of Debye-Hückel theory as well as exact solutions to the nonlinear equation in simple geometries and generalizations to higher-order equations. Chapter two introduces the statistical physics approach to the Poisson-Boltzmann equation. It allows the treatment of fluctuation effects, treated in the loop expansion, and in a variational approach. First applications are treated in detail: the problem of the surface tension under the addition of salt, a classic problem discussed by Onsager and Samaras in the 1930s, which is developed in modern terms within the loop expansion, and the adsorption of a charged polymer on a like-charged surface within the variational approach. Chapter three finally discusses the extension of Poisson-Boltzmann theory to explicit solvent. This is done in two ways: on the phenomenological level of nonlocal electrostatics and with a statistical physics model that treats the solvent molecules as molecular dipoles. This model is then treated in the mean-field approximation and with the variational method introduced in Chapter two, rounding up the development of the mathematical approaches of Poisson-Boltzmann theory. After studying this book, a graduate "]
[{"$nulls":4},"student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background. ."]