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The Boltzmann Equation

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Statistical Mechanics

Part of the book series: Advanced Texts in Physics ((ADTP))

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Abstract

In the Langevin equation (Chap. 8), irreversibility was introduced phenomenologically through a damping term. Kinetic theories have the goal of explaining and quantitatively calculating transport processes and dissipative effects due to scattering of the atoms (or in a solid, of the quasiparticles) . The object of these theories is the single-particle distribution function, whose time development is determined by the kinetic equation.

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Literature

  • P. Résibois and M. De Leener, Classical Kinetic Theory of Fluids (John Wiley, New York, 1977) .

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  • K. Huang, Statistical Mechanics, 2nd Ed. (John Wiley, New York, 1987).

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  • L. Boltzmann, Vorlesungen über Gastheorie, Vol. 1: Theorie der Gase mit einatomigen Molekiilen, deren Dimensionen gegen die mittlere Weglänge verschwinden (Barth, Leipzig, 1896); or Lectures on Gas Theory, transl. by S. Brush, University of California Press, Berkeley 1964.

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  • R. L. Liboff, Introduction to the Theory of Kinetic Equations, Robert E. Krieger publishing Co., Huntington, New York 1975.

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  • S. Harris, An Introduction to the Theory of the Boltzmann Equation, Holt Rinehart and Winston, New York 1971.

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  • K. H. Michel and F. Schwabl, Hydrodynamic Modes in a Gas of Magnons, Phys. Kondens. Materie 11, 144 (1970) .

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© 2002 Springer-Verlag Berlin Heidelberg

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Schwabl, F. (2002). The Boltzmann Equation. In: Statistical Mechanics. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04702-6_9

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  • DOI: https://doi.org/10.1007/978-3-662-04702-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04704-0

  • Online ISBN: 978-3-662-04702-6

  • eBook Packages: Springer Book Archive

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