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The Poisson-Boltzmann Equation
Af: Ralf Blossey Engelsk Paperback
SPAR
kr 99
The Poisson-Boltzmann Equation
Af: Ralf Blossey Engelsk Paperback
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. 

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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. 

Produktdetaljer
Sprog: Engelsk
Sider: 101
ISBN-13: 9783031247811
Indbinding: Paperback
Udgave:
ISBN-10: 3031247817
Udg. Dato: 24 feb 2023
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 24 feb 2023
Forfatter(e): Ralf Blossey
Forfatter(e) Ralf Blossey


Kategori Elektrokemi og magnetokemi


Sprog Engelsk


Indbinding Paperback


Sider 101


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 24 feb 2023


Oplagsdato 24 feb 2023

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