The Boltzmann Equation

Theory and Applications
Herausgegeben von Cohen, E.G.D.; Thirring, W.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Few-Body Systems 10/1973
• Verlag: Springer / Springer Vienna / Springer, Wien
• Artikelnr. des Verlages: 86034348, 978-3-7091-8338-0
• Softcover reprint of the original 1st ed. 1973
• Seitenzahl: 660
• Erscheinungstermin: 7. Januar 2012
• Englisch
• Abmessung: 244mm x 170mm x 36mm
• Gewicht: 1120g
• ISBN-13: 9783709183380
• ISBN-10: 3709183383
• Artikelnr.: 39491938

Inhaltsangabe

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.