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Microscopic Time Reversibility and the Boltzmann Equation

  • Herbert Spohn
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 574)

Abstract

O.E. Lanford proves that in the Boltzmann-Grad limit the dynamics of hard spheres is governed by the Boltzmann equation (with a technical restriction on the time span). This result allows us to explain, with more precision according to usual standards, the emergence of an irreversible macroscopic equation out of the reversible microscopic dynamics.

Keywords

Boltzmann Equation Black Body Radiation British Broadcasting Corporation Initial Distribution Function Irreversible Evolution 
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References

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    O.E. Lanford, Time Evolution of Large Classical Systems. Lecture Notes in Physics Vol. 38, pp. 1–111, ed. J. Moser, (Springer, Berlin, 1975)Google Scholar
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    R. P. Feynman The Character of Physical Law, (British Broadcasting Corporation, London 1965)Google Scholar
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    C. Cercignani, Ludwig Boltzmann, The Man Who Trusted Atoms, (Oxford University Press 1998)Google Scholar
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    J. L. Lebowitz, Macroscopic laws, microscopic dynamics, time’s arrow and Boltzmann’s entropy. In: Physica A 194, 1 (1993)ADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Herbert Spohn
    • 1
  1. 1.Zentrum Mathematik and Physik DepartmentTU MünchenMünchen

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