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The Boltzmann Equation and Its Applications

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  • © 1988
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Overview

Authors:
  1. Carlo Cercignani

    1. Department of Mathematics, Politecnico di Milano, Milano (I), Italy

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Part of the book series: Applied Mathematical Sciences (AMS, volume 67)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Basic Principles of The Kinetic Theory of Gases

    • Carlo Cercignani
    Pages 1-39
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  3. The Boltzmann Equation

    • Carlo Cercignani
    Pages 40-103
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  4. Gas-Surface Interaction and the H-Theorem

    • Carlo Cercignani
    Pages 104-157
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  5. Linear Transport

    • Carlo Cercignani
    Pages 158-231
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  6. Small and Large Mean Free Paths

    • Carlo Cercignani
    Pages 232-285
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  7. Analytical Solutions of Models

    • Carlo Cercignani
    Pages 286-350
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  8. The Transition Regime

    • Carlo Cercignani
    Pages 351-391
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  9. Theorems on the Solutions of The Boltzmann Equation

    • Carlo Cercignani
    Pages 392-430
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  10. Back Matter

    Pages 431-456
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Politecnico di Milano, Milano (I), Italy

    Carlo Cercignani

Bibliographic Information

  • Book Title: The Boltzmann Equation and Its Applications

  • Authors: Carlo Cercignani

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-1039-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1988

  • Hardcover ISBN: 978-0-387-96637-3Published: 18 December 1987

  • Softcover ISBN: 978-1-4612-6995-3Published: 28 October 2012

  • eBook ISBN: 978-1-4612-1039-9Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XIII, 455

  • Additional Information: In parts previously published by the Scottish Academic Press, Edinburgh, UK, 1975

  • Topics: Theoretical, Mathematical and Computational Physics

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