Poisson-Boltzmann Equation (e-bog) af Blossey, Ralf
Blossey, Ralf (forfatter)

Poisson-Boltzmann Equation e-bog

403,64 DKK (inkl. moms 504,55 DKK)
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-Huckel theory as well as exact solutions to the nonlinear equation in simple geometries and generalizations to higher-order equations. &nbsp...
E-bog 403,64 DKK
Forfattere Blossey, Ralf (forfatter)
Forlag Springer
Udgivet 23 februar 2023
Genrer PBKJ
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783031247828
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-Huckel 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.