Artículos relacionados a The Poisson-Boltzmann Equation: An Introduction (SpringerBri...

The Poisson-Boltzmann Equation: An Introduction (SpringerBriefs in Physics) - Tapa blanda

Libro 123 de 151: SpringerBriefs in Physics

Blossey, Ralf

 
9783031247811: The Poisson-Boltzmann Equation: An Introduction (SpringerBriefs in Physics)
Tapa blanda
ISBN 10: 3031247817 ISBN 13: 9783031247811
Editorial: Springer, 2023

Sinopsis

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 student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background. 

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Dr. Ralf Blossey is a statistical physicist. Throughout the roughly first ten years of his career, his research was mainly on wetting phenomena, in particular on the dynamic behaviour near first-order transitions in various physical systems. In the new millennium his interest shifted towards biophysical applications of statistical physics, the two main lines being processes related to gene regulation and macromolecular electrostatics. In the period 2003-2013 he directed a research team at the Interdisciplinary Research Institute in Lille under its former name « Biological Nanosystems ». In 2014, the team joined the research laboratory on glycobiology UGSF.

De la contraportada

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 student will be able to access the research literature on the Poisson-Boltzmann equation with a solid background. 

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2023
Idioma
Inglés
ISBN 10 
3031247817
ISBN 13 
9783031247811
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
116
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3,69115 Heidelberg, Germany
Heidelberg
69115
Alemania