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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

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