The Boltzmann Equation: Theory and Applications

Author:   E.G.D. Cohen ,  W. Thirring
Publisher:   Springer Verlag GmbH
Edition:   Softcover reprint of the original 1st ed. 1973
Volume:   10/1973
ISBN:  

9783709183380


Pages:   642
Publication Date:   07 January 2012
Format:   Paperback
Availability:   In Print   Availability explained
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The Boltzmann Equation: Theory and Applications


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Overview

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.

Full Product Details

Author:   E.G.D. Cohen ,  W. Thirring
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   Softcover reprint of the original 1st ed. 1973
Volume:   10/1973
Dimensions:   Width: 17.00cm , Height: 3.40cm , Length: 24.40cm
Weight:   1.120kg
ISBN:  

9783709183380


ISBN 10:   3709183383
Pages:   642
Publication Date:   07 January 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Welcome Speech.- Life and Personality of Ludwig Boltzmann.- Philosophical Biography of Ludwig Boltzmann.- The Development of Boltzmann’s Statistical Ideas.- The Validity and the Limitations of the Boltzmann Equation.- Comment to Professor Uhlenbeck’s Paper.- On Higher Order Hydrodynamic Theories of Shock Structure.- Sound From the Boltzmann Equation.- The Generalization of the Boltzmann Equation to Higher Densities.- The Three-Particle Collision Term in the Generalized Boltzmann Equation.- Velocity Correlation Functions for Moderately Dense Gases.- On Kinetic Equations for Particles with Internal Degrees of Freedom.- Flow-Birefringence in Gases, An Example of the Kinetic Theory Based on the Boltzmann Equation for Rotating Particles.- Non-Equilibrium Angular Momentum Polarization in Rotating Molecules.- The Boltzmann Equation in Solid State Physics.- Experimental and Theoretical Investigations in Semiconductors Concerning the Boltzmann Equation.- Some Probabilistic Aspects of the Boltzmann Equation.- The Statistical Interpretation of Non-Equilibrium Entropy.- A Review of Computer Studies in the Kinetic Theory of Fluids.- A Survey of Neutron Transport Theory.- Relativistic Boltzmann Theory.- Kinetic Equation for Elementary Excitations in Quantum Systems.- Ergodic Theory.- Ergodic Theory.- Ergodic Theory and Approach to Equilibrium for Finite and Infinite Systems.- Erinnerungen an Boltzmanns Vorlesungen.

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