An Introduction To 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.
Lecture Notes On The Mathematical Theory Of The Boltzmann Equation
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Author : N. Bellomo
language : en
Publisher: World Scientific
Release Date : 1995
Lecture Notes On The Mathematical Theory Of The Boltzmann Equation written by N. Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Theory And Application Of The Boltzmann Equation
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Author : Carlo Cercignani
language : en
Publisher:
Release Date : 1975
Theory And Application Of The Boltzmann Equation written by Carlo Cercignani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Science categories.
Appendix after each chapter
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.
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 Relativistic Boltzmann Equation Theory And Applications
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Author : Carlo Cercignani
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Relativistic Boltzmann Equation Theory And Applications written by Carlo Cercignani and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Schr Dinger Equations And Diffusion Theory
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Author : Masao Nagasawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13
Schr Dinger Equations And Diffusion Theory written by Masao Nagasawa 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 2012-12-13 with Mathematics categories.
Schrödinger Equations and Diffusion Theory addresses the question “What is the Schrödinger equation?” in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger’s conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tells us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles. The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations. The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics. The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level. --- This book is a self-contained, very well-organized monograph recommended to researchers and graduate students in the field of probability theory, functional analysis and quantum dynamics. (...) what is written in this book may be regarded as an introduction to the theory of diffusion processes and applications written with the physicists in mind. Interesting topics present themselves as the chapters proceed. (...) this book is an excellent addition to the literature of mathematical sciences with a flavour different from an ordinary textbook in probability theory because of the author’s great contributions in this direction. Readers will certainly enjoy the topics and appreciate the profound mathematical properties of diffusion processes. (Mathematical Reviews)