Author: Alexander Sinitsyn
Publisher: Elsevier
ISBN: 0123877806
Category : Mathematics
Languages : en
Pages : 321
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Book Description
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
Author: Robert T. Glassey
Publisher: SIAM
ISBN: 0898713676
Category : Science
Languages : en
Pages : 246
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Book Description
Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 320
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Book Description
Author: Gianpiero Colonna
Publisher:
ISBN: 9780750335584
Category : SCIENCE
Languages : en
Pages : 0
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Book Description
Plasma Modeling: Methods and applications presents and discusses the different approaches that can be adopted for plasma modeling, giving details about theoretical and numerical methods. It describes kinetic models used in plasma investigations, develops the theory of fluid equations and hybrid models, and discusses applications and practical problems across a range of fields. This updated second edition contains over 200 pages of new material, including an extensive new part that discusses methods to calculate data needed in plasma modeling, such as thermodynamic and transport properties, state specific rate coefficients in heavy particle collisions and electron impact cross-sections. This updated research and reference text is an excellent resource to assist and direct students and researchers who want to develop research activity in the field of plasma physics in the choice of the best model for the problem of interest.
Author: Carlo Cercignani
Publisher: Birkhäuser
ISBN: 3034881657
Category : Science
Languages : en
Pages : 391
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Book Description
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: Robert North Seitz
Publisher:
ISBN:
Category :
Languages : en
Pages : 210
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Book Description
Author: Ingo Müller
Publisher: Springer Science & Business Media
ISBN: 1468404474
Category : Science
Languages : en
Pages : 238
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Book Description
Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.
Author: Lawrence Hugh Wood
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 212
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Book Description
Author: Carlo Cercignani
Publisher: Springer Science & Business Media
ISBN: 0817645543
Category : Science
Languages : en
Pages : 274
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Book Description
The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
Author: Kenro Miyamoto
Publisher: Taylor & Francis
ISBN: 1584887109
Category : Science
Languages : en
Pages : 393
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Book Description
Resulting from ongoing, international research into fusion processes, the International Tokamak Experimental Reactor (ITER) is a major step in the quest for a new energy source.The first graduate-level text to cover the details of ITER, Controlled Fusion and Plasma Physics introduces various aspects and issues of recent fusion research activ
