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Friday, May 8, 2020 | History

1 edition of The Relativistic Boltzmann Equation: Theory and Applications found in the catalog.

The Relativistic Boltzmann Equation: Theory and Applications

by Carlo Cercignani

  • 63 Want to read
  • 18 Currently reading

Published by Birkhäuser Basel, Imprint, Birkhäuser in Basel .
Written in English

    Subjects:
  • Physics

  • About the Edition

    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.

    Edition Notes

    Statementby Carlo Cercignani, Gilberto Medeiros Kremer
    SeriesProgress in Mathematical Physics -- 22, Progress in mathematical physics -- 22.
    ContributionsKremer, Gilberto Medeiros
    Classifications
    LC ClassificationsQC19.2-20.85
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (X, 384 pages).
    Number of Pages384
    ID Numbers
    Open LibraryOL27085145M
    ISBN 103034881657
    ISBN 109783034881654
    OCLC/WorldCa840290400

    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 . Therefore applications of statistical physics can also be found in data-intensive research areas such as astrophysics, en- it becomes the convincing and universal theory that it actually is. The book by Callen also draws heavily on the work by Edwin Jaynes on the relation- including the Boltzmann equation, Langevin dynamics and the.

      Introduction In this paper, we consider the relativistic Boltzmann and Landau equations for the dynamics of dilute particles in the whole space. Recall that the relativistic Boltzmann equation takes the form ∂ t F + ˆv ∇ x F = C(F, F), () with initial condition F(0,x,v) = F 0 (x,v).Cited by: Carlo Cercignani is the author of Ludwig Boltzmann ( avg rating, 25 ratings, 1 review, published ), The Boltzmann Equation and Its Applications (/5(3).

    The Boltzmann equation is one of the most powerful tools for investigating the plasma state, from the electron kinetics in weakly ionized gases to fusion and astrophysical [14, 15] plasmas. In this chapter we present the theoretical foundation of the Boltzmann and Vlasov equations, giving an overview of their applications. The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium, devised by Ludwig Boltzmann in The classic example of such a system is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the random but biased transport of the particles making up.


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The Relativistic Boltzmann Equation: Theory and Applications by Carlo Cercignani Download PDF EPUB FB2

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 by: The Relativistic Boltzmann Equation: Theory and Applications.

Usually dispatched within 3 to 5 business days. Usually dispatched within 3 to 5 business days. 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.

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 genera. 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.5/5(1).

The Relativistic Boltzmann Equation: Theory and Applications by Carlo Cercignani,available at Book Depository with free delivery worldwide. In a non-relativistic theory the most widely known model of the Boltzmann equation is the so-called BGK model which was formulated independently by Bhatnagar, Gross and Krook [4] and Welander [22].

The Relativistic Boltzmann Equation: Theory and Applications Carlo Cercignani, Gilberto Medeiros Kremer (auth.) 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.

Title: The relativistic Boltzmann equation: theory and applications: Authors: Cercignani, Carlo; Kremer, Gilberto Medeiros: Publication: The relativistic Boltzmann.

Theory and applications of the relativistic Boltzmann equation Gilberto M. Kremer Departamento de Física, Universidade Federal do Paraná, Caixa PostalCuritiba, BrazilCited by: 2.

In, 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 ~ : Springer-Verlag Wien.

Title: Theory and applications of the relativistic Boltzmann equation. Authors: Gilberto M. Kremer (Submitted on 28 Apr ) Abstract: In this work two systems are analyzed within the framework of the relativistic Boltzmann equation. One of them refers to a description of binary mixtures of electrons and protons and of electrons and photons Cited by: 1.

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. The purpose of this chapter is to introduce the basic concepts of relativistic kinetic theory and the relativistic Boltzmann equation, which rules the time evolution of the distribution by: The above equation follows also from a relativistic Boltzmann equation in the presence of gravitational fields, where a one-particle distribution function f a ≡ f (x, p a, t) of constituent a.

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 Cited by: 8.

The relativistic Boltzmann equation: theory and applications. [Carlo Cercignani; Gilberto Medeiros Kremer] -- "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.

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 Read more.

Relativistic Kinetic Theory: With Applications in Astrophysics and Cosmology - Kindle edition by Vereshchagin, Gregory V., Aksenov, Alexey G.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Relativistic Kinetic Theory: With Applications in Astrophysics and cturer: Cambridge University Press.

In this work two systems are analyzed within the framework of the relativistic Boltzmann equation. One of them refers to a description of binary mixtures of electrons and protons and of electrons and photons subjected to external electromagnetic fields in special relativity.

In this case the Fourier and Ohm laws are derived and the corresponding transport coefficients are by: 2. 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.

The Relativistic Boltzmann Equation: Theory And Applications. 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.We present a systematic account of recent developments of the relativistic Lattice Boltzmann method (RLBM) for dissipative hydrodynamics. We describe in full detail a unified, compact and dimension-independent procedure to design relativistic LB schemes capable of bridging the gap between the ultra-relativistic regime, k B T ≫ m c 2, and the non-relativistic one, k B T ≪ m c 2.Carlo Cercignani and Gilberto Medeiros Kremer, "The Relativistic Boltzmann Equation: Theory and Applications,", Progress in Mathematical Physics, 22 ().

Google Scholar [14] Carlo Cercignani and Armando Majorana, Propagation of infinitesimal disturbances in a gas according to a relativistic kinetic model, Meccanica, 19 (), Cited by: