The Boltzmann Equation

Theory and Applications

  • E. G. D. Cohen
  • W. Thirring

Part of the Acta Physica Austriaca book series (FEWBODY, volume 10/1973)

Table of contents

  1. Front Matter
    Pages N1-XII
  2. E. Schmid
    Pages 1-2
  3. C. Cercignani
    Pages 121-122
  4. G. W. Ford
    Pages 141-155

About these proceedings

Introduction

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.

Keywords

Boltzmann equation angular momentum degrees of freedom distribution function electron entropy ergodic theory momentum paper particles physics semiconductor solid-state physics structure transport

Editors and affiliations

  • E. G. D. Cohen
    • 1
  • W. Thirring
    • 2
  1. 1.The Rockefeller UniversityNew YorkUSA
  2. 2.Institute for Theoretical PhysicsUniversity of ViennaViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-8336-6
  • Copyright Information Springer-Verlag Vienna 1973
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7091-8338-0
  • Online ISBN 978-3-7091-8336-6
  • Series Print ISSN 0177-8811
  • About this book