Theory and Application of the Boltzmann Equation
Author: Carlo Cercignani
Publisher:
Published: 1975
Total Pages: 436
ISBN-13:
DOWNLOAD EBOOK →Appendix after each chapter
Author: Carlo Cercignani
Publisher:
Published: 1975
Total Pages: 436
ISBN-13:
DOWNLOAD EBOOK →Appendix after each chapter
Author: Carlo Cercignani
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 467
ISBN-13: 1461210399
DOWNLOAD EBOOK →Statistical mechanics may be naturally divided into two branches, one dealing with equilibrium systems, the other with nonequilibrium systems. The equilibrium properties of macroscopic systems are defined in principle by suitable averages in well-defined Gibbs's ensembles. This provides a frame work for both qualitative understanding and quantitative approximations to equilibrium behaviour. Nonequilibrium phenomena are much less understood at the present time. A notable exception is offered by the case of dilute gases. Here a basic equation was established by Ludwig Boltzmann in 1872. The Boltzmann equation still forms the basis for the kinetic theory of gases and has proved fruitful not only for a study of the classical gases Boltzmann had in mind but also, properly generalized, for studying electron transport in solids and plasmas, neutron transport in nuclear reactors, phonon transport in superfluids, and radiative transfer in planetary and stellar atmospheres. Research in both the new fields and the old one has undergone a considerable advance in the last thirty years.
Author: E.G.D. Cohen
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 647
ISBN-13: 3709183367
DOWNLOAD EBOOK →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.
Author: Carlo Cercignani
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 391
ISBN-13: 3034881657
DOWNLOAD EBOOK →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.
Author: Stewart Harris
Publisher: Courier Corporation
Published: 2012-12-27
Total Pages: 242
ISBN-13: 0486143821
DOWNLOAD EBOOK →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.
Author: Gilberto M. Kremer
Publisher: Springer Science & Business Media
Published: 2010-08-18
Total Pages: 313
ISBN-13: 3642116965
DOWNLOAD EBOOK →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.
Author: Stewart Harris
Publisher: Courier Corporation
Published: 2004-01-01
Total Pages: 260
ISBN-13: 9780486438313
DOWNLOAD EBOOK →This introductory graduate-level course for students of physics and engineering features detailed presentations of Boltzmann's equation, including applications using both Boltzmann's equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory and offers a practical resource for researchers and other professionals. 1971 edition.
Author: International Symposium 100 Years Boltzmann Equation, Vienna, 1972
Publisher:
Published: 1973
Total Pages: 642
ISBN-13:
DOWNLOAD EBOOK →Author: Laure Saint-Raymond
Publisher: Springer Science & Business Media
Published: 2009-03-26
Total Pages: 203
ISBN-13: 3540928464
DOWNLOAD EBOOK →"The material published in this volume comes essentially from a course given at the Conference on "Boltzmann equation and fluidodynamic limits", held in Trieste in June 2006." -- preface.
Author: Alexander Sinitsyn
Publisher: Elsevier
Published: 2011-06-17
Total Pages: 321
ISBN-13: 0123877806
DOWNLOAD EBOOK →Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory. This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. Reviews the whole field from the beginning to today Includes practical applications Provides classical and modern (semi-analytical) solutions