The Poisson Boltzmann Equation

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The Poisson Boltzmann Equation

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Author : Ralf Blossey
language : en
Publisher:
Release Date : 2023

The Poisson Boltzmann Equation written by Ralf Blossey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.

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. .

Multilevel Methods For The Poisson Boltzmann Equation

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Author : Michael Jay Holst
language : en
Publisher:
Release Date : 1993

Multilevel Methods For The Poisson Boltzmann Equation written by Michael Jay Holst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Amyotrophic lateral sclerosis categories.

Multilevel convergence theory is discussed, and we adapt and apply some recent results to the Galerkin-based methods. Numerical results arepresented for several test problems, including a nonlinear PBE calculation of the electrostatic potential of Superoxide Dismutase, an enzymewhich has recently been linked to Lou Gehrig's disease. We present a collection of performance statistics and benchmarks for the linear andnonlinear methods on a number of sequential and parallel computers, and discuss the software developed in the course of the research."

Solutions And Applications Of The Poisson Boltzmann Equation For The Description Of Ion Sorption And Diffusion In Charged Systems Of Various Geomtries

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Author : Hugo van Keulen
language : en
Publisher:
Release Date : 1995

Solutions And Applications Of The Poisson Boltzmann Equation For The Description Of Ion Sorption And Diffusion In Charged Systems Of Various Geomtries written by Hugo van Keulen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Interfacial Solutions Of The Poisson Boltzmann Equation

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Author : Frank H. Stillinger
language : en
Publisher:
Release Date : 1961

Interfacial Solutions Of The Poisson Boltzmann Equation written by Frank H. Stillinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Differential equations categories.

Solutions And Applications Of The Poisson Boltzmann Equation For The Description Of Ion Sorption And Diffusion In Charged Systems Of Various Geometries

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Author : Hugo van Keulen
language : en
Publisher:
Release Date : 1995

Solutions And Applications Of The Poisson Boltzmann Equation For The Description Of Ion Sorption And Diffusion In Charged Systems Of Various Geometries written by Hugo van Keulen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Numerical Solution Of The Poisson Boltzmann Equation For Electrical Double Layers

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Author : Alec Evan James
language : en
Publisher:
Release Date : 1977

Numerical Solution Of The Poisson Boltzmann Equation For Electrical Double Layers written by Alec Evan James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Electric double layer categories.

Fast Solution Of The Poisson Boltzmann Equation By The Reduced Basis Method And Range Separated Canonical Tensor Format

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Author : Cleophas Muganda Kweyu
language : en
Publisher:
Release Date : 2019

Fast Solution Of The Poisson Boltzmann Equation By The Reduced Basis Method And Range Separated Canonical Tensor Format written by Cleophas Muganda Kweyu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

On The Analytical Solution To The Linearized Poisson Boltzmann Equation In Cylindrical Coordinates

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Author : Richard Eugene Rice
language : en
Publisher:
Release Date : 1982

On The Analytical Solution To The Linearized Poisson Boltzmann Equation In Cylindrical Coordinates written by Richard Eugene Rice and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Biological transport categories.

Solving The Poisson Boltzmann Equation Using Nonlinear Multigrid Methods

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Author : Ilia Antsiferov
language : en
Publisher:
Release Date : 2006

Solving The Poisson Boltzmann Equation Using Nonlinear Multigrid Methods written by Ilia Antsiferov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Multigrid methods (Numerical analysis) categories.

Goal Oriented Adaptivity For The Poisson Boltzmann Equation

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Author :
language : en
Publisher:
Release Date : 2011

Goal Oriented Adaptivity For The Poisson Boltzmann Equation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.