Skip to main content

Entropy and irreversibility in a dilute gas of hard disks

Abstract

The partition of the canonical entropy (invariant of motion) into a thermodynamic part 5th and a nonthermodynamic oneS nonth, respectively increasing and decreasing functions of time for a system approaching equilibrium, was proposed by Prigogine and co-workers. This viewpoint is critically examined in the special case of an initially uncorrelated gas of hard disks. BothSth and the leading term ofS nonth are evaluated for finite assemblies of 400,1600, and 6400 disks, by the method of molecular dynamics. There is good evidence that, in the limit of an infinite system, the Prigogine scheme is verified.

This is a preview of subscription content, access via your institution.

References

  1. I. Prigogine and F. Henin-Jeener,Proceedings of the IUPAP Conference on Statistical Mechanics and Thermodynamics, Copenhagen, July 1966, edited by T. Bak, p. 421.

  2. I. Prigogine and P. Résibois,Estratto dagli Atti del Simposio Lagrangiano, edited by Vicenzo Bona (Acad. delle Scienze di Torino, Torino, 1964).

    Google Scholar 

  3. R. Balescu,Physica 36, 433 (1967).

    Google Scholar 

  4. J. Orban and A. Bellemans,Physics Letters 24A, 620 (1967).

    Google Scholar 

  5. B. J. Alder and T. E. Wainwright,J. Chem. Phys. 27, 1208 (1957).

    Google Scholar 

  6. B. J. Alder and T. E. Wainwright,J. Chem. Phys. 31, 459 (1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On leave of absence from the University of Brussels, Belgium.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Orban, J., Bellemans, A. Entropy and irreversibility in a dilute gas of hard disks. J Stat Phys 1, 467–474 (1969). https://doi.org/10.1007/BF01106581

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01106581

Key words

  • entropy
  • irreversibility
  • method of molecular dynamics
  • gas of hard disks
  • H-function of Boltzmann