An Introduction The Theory Of The Boltzmann Equation
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An Introduction To The Theory Of The Boltzmann Equation
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Author : Stewart Harris
language : en
Publisher: Courier Corporation
Release Date : 2012-12-27
An Introduction To The Theory Of The Boltzmann Equation written by Stewart Harris and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Science categories.
This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.
An Introduction The Theory Of The Boltzmann Equation
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Author : Stwart Harris
language : en
Publisher:
Release Date : 2004
An Introduction The Theory Of The Boltzmann Equation written by Stwart Harris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
An Introduction To The Boltzmann Equation And Transport Processes In Gases
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Author : Gilberto M. Kremer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18
An Introduction To The Boltzmann Equation And Transport Processes In Gases written by Gilberto M. Kremer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-18 with Technology & Engineering categories.
This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
The Boltzmann Equation
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Author : E.G.D. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Boltzmann Equation written by E.G.D. Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In,1872, Boltzmann published a paper which for the first time provided a precise mathematical basis for a discussion of the approach to equilibrium. The paper dealt with the approach to equilibrium of a dilute gas and was based on an equation - the Boltzmann equation, as we call it now - for the velocity distribution function of such ~ gas. The Boltzmann equation still forms the basis of the kinetic theory of gases and has proved fruitful not only for the classical gases Boltzmann had in mind, but als- if properly generalized - for the electron gas in a solid and the excitation gas in a superfluid. Therefore it was felt by many of us that the Boltzmann equation was of sufficient interest, even today, to warrant a meeting, in which a review of its present status would be undertaken. Since Boltzmann had spent a good part of his life in Vienna, this city seemed to be a natural setting for such a meeting. The first day was devoted to historical lectures, since it was generally felt that apart from their general interest, they would furnish a good introduction to the subsequent scientific sessions. We are very much indebted to Dr. D.
The Poisson Boltzmann Equation
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Author : Ralf Blossey
language : en
Publisher: Springer Nature
Release Date : 2023-02-23
The Poisson Boltzmann Equation written by Ralf Blossey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-23 with Science 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.
The Boltzmann Equation
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Author :
language : en
Publisher:
Release Date : 1977
The 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 1977 with categories.
Introduction To The Theory Of Kinetic Equations
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Author : Richard L. Liboff
language : en
Publisher:
Release Date : 1969
Introduction To The Theory Of Kinetic Equations written by Richard L. Liboff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Science categories.
Theory Of The Boltzmann Equation
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Author : Harold Grad
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18
Theory Of The Boltzmann Equation written by Harold Grad and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.
In this classic work, Harold Grad presents a comprehensive and rigorous treatment of the Boltzmann equation, a fundamental equation in statistical mechanics that describes the behavior of gases and other fluids. Drawing on his extensive knowledge of applied mathematics and physics, Grad provides readers with a deep understanding of this important equation. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Ludwig Boltzmann
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Author : Carlo Cercignani
language : en
Publisher: OUP Oxford
Release Date : 2006-01-12
Ludwig Boltzmann written by Carlo Cercignani and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-12 with Science categories.
This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific upheaval, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved: others are still at the level of likely but unproven conjectures. The main text of this biography is written almost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject.
The Lattice Boltzmann Method
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Author : Timm Krüger
language : en
Publisher: Springer
Release Date : 2016-11-07
The Lattice Boltzmann Method written by Timm Krüger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-07 with Science categories.
This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.