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.
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References
O.E. Lanford, Time Evolution of Large Classical Systems. Lecture Notes in Physics Vol. 38, pp. 1–111, ed. J. Moser, (Springer, Berlin, 1975)
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© 2001 Springer-Verlag Berlin Heidelberg
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Spohn, H. (2001). Microscopic Time Reversibility and the Boltzmann Equation. In: Bricmont, J., Ghirardi, G., Dürr, D., Petruccione, F., Galavotti, M.C., Zanghi, N. (eds) Chance in Physics. Lecture Notes in Physics, vol 574. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44966-3_4
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DOI: https://doi.org/10.1007/3-540-44966-3_4
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