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) .
K. Huang, Statistical Mechanics, 2nd Ed. (John Wiley, New York, 1987).
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.
R. L. Liboff, Introduction to the Theory of Kinetic Equations, Robert E. Krieger publishing Co., Huntington, New York 1975.
S. Harris, An Introduction to the Theory of the Boltzmann Equation, Holt Rinehart and Winston, New York 1971.
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
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