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The hard sphere gas in the Boltzmann-Grad limit

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  • Lanford, Oscar E.

Abstract

This talk will review what has been rigorously proved about the time-dependent behaviour of a gas of classical hard spheres in the limiting regime where the number n of particles per unit volume becomes infinitely large while the particle diameter ϵ goes to zero in such a way that nϵ2 approaches a finite non-zero limit. (It is in this limiting regime that the Boltzmann equation is expected to become exact.)

Suggested Citation

  • Lanford, Oscar E., 1981. "The hard sphere gas in the Boltzmann-Grad limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 70-76.
    • Handle: RePEc:eee:phsmap:v:106:y:1981:i:1:p:70-76
    DOI: 10.1016/0378-4371(81)90207-7
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    Cited by:

    1. Kalogeropoulos, Nikolaos, 2018. "Time irreversibility from symplectic non-squeezing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 202-210.
    2. Pérez-Cárdenas, Fernando C. & Resca, Lorenzo & Pegg, Ian L., 2016. "Microscopic reversibility and macroscopic irreversibility: A lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 82-92.
    3. Baldovin, Marco & Caprini, Lorenzo & Vulpiani, Angelo, 2019. "Irreversibility and typicality: A simple analytical result for the Ehrenfest model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 422-429.

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