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Relativistic Kinetic Theory

Relativistic Kinetic Theory
Author: Gregory V. Vereshchagin
Publisher: Cambridge University Press
Total Pages: 343
Release: 2017-02-16
Genre: Science
ISBN: 1316982564

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Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest has grown in recent years as experimentalists are now able to make reliable measurements on physical systems where relativistic effects are no longer negligible. This ambitious monograph is divided into three parts. It presents the basic ideas and concepts of this theory, equations and methods, including derivation of kinetic equations from the relativistic BBGKY hierarchy and discussion of the relation between kinetic and hydrodynamic levels of description. The second part introduces elements of computational physics with special emphasis on numerical integration of Boltzmann equations and related approaches, as well as multi-component hydrodynamics. The third part presents an overview of applications ranging from covariant theory of plasma response, thermalization of relativistic plasma, comptonization in static and moving media to kinetics of self-gravitating systems, cosmological structure formation and neutrino emission during the gravitational collapse.


Relativistic Kinetic Theory

Relativistic Kinetic Theory
Author: Gregory V. Vereshchagin
Publisher: Cambridge University Press
Total Pages: 343
Release: 2017-02-16
Genre: Science
ISBN: 1107048222

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This book presents fundamentals, equations, and methods of solutions of relativistic kinetic theory, with applications in astrophysics and cosmology.


The Relativistic Boltzmann Equation: Theory and Applications

The Relativistic Boltzmann Equation: Theory and Applications
Author: Carlo Cercignani
Publisher: Birkhäuser
Total Pages: 391
Release: 2012-12-06
Genre: Science
ISBN: 3034881657

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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.


Kinetic Theory

Kinetic Theory
Author: R.L. Liboff
Publisher: Springer Science & Business Media
Total Pages: 587
Release: 2006-03-30
Genre: Science
ISBN: 0387217754

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This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.


Kinetic Theory

Kinetic Theory
Author: R.L. Liboff
Publisher: Springer Science & Business Media
Total Pages: 587
Release: 2003-09-02
Genre: Science
ISBN: 0387955518

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This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.


Kinetic Theory

Kinetic Theory
Author: Richard L. Liboff
Publisher: Wiley-VCH
Total Pages: 584
Release: 1998-02-27
Genre: Science
ISBN:

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This updated and expanded edition offers a collective description of all aspects of kinetic theory Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, Second Edition goes beyond the scope of other works in the field with a significantly broader array of applications. This superior reference addresses a wide range of disciplines, including aerospace, mechanical, and chemical engineering; solid state and laser physics; and controlled and astrophysical thermonuclear fusion. Topics covered include: * Entirely new material on kinetic properties of metals and amorphous media. * Exposition and analysis of the Liouville equation. * The Boltzmann equation, fluid dynamics, and irreversibility. * Kinetic equations with applications to plasmas, neutral fluids, and shock waves. * Elements of quantum kinetic theory and the many-body Green's function. * Relativistic kinetic theory--covariant Liouville equation * List of classical and quantum hierarchies of kinetic equations Support materials include problem sets at the end of each chapter, many of which provide self-contained descriptions of closely allied topics. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart. Kinetic Theory, Second Edition is an indispensable resource for physicists involved in plasma physics, condensed matter, and statistical mechanics; electrical engineers working with laser and solid state devices; and researchers in industry and academia. It is also an excellent text for graduate courses in these and other disciplines.


Kinetic Theory in the Expanding Universe

Kinetic Theory in the Expanding Universe
Author: Jeremy Bernstein
Publisher: Cambridge University Press
Total Pages: 160
Release: 2004-08-19
Genre: Science
ISBN: 9780521607469

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Kinetic Theory in the Expanding Universe is a self-contained exposition of the applications of kinetic theory to basic problems in modern cosmology, such as the role of stable and unstable massive neutrinos and the theory of cosmological helium production. There has been rapid development of the theory of the origin and evolution of the universe in recent years, stimulated, in large part, by new observations and theories in astrophysics and particle physics. Bernstein takes a different approach and studies what can be concluded from the application of kinetic theory, and in particular the Boltzmann equation and its solutions, to cosmological problems. He begins with a brief survey of the necessary relativity, cosmodynamics, and kinetic theory, before going on to discuss specific problems, such as the role of stable and unstable massive neutrinos, electron-positron annihilation and the theory of cosomological helium production. The focus is in obtaining both a theoretical understanding and concrete numerical results.


Introduction to Relativistic Statistical Mechanics

Introduction to Relativistic Statistical Mechanics
Author: R‚mi Hakim
Publisher: World Scientific
Total Pages: 567
Release: 2011
Genre: Science
ISBN: 9814322431

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This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.