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.
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References
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.
I. Prigogine and P. Résibois,Estratto dagli Atti del Simposio Lagrangiano, edited by Vicenzo Bona (Acad. delle Scienze di Torino, Torino, 1964).
R. Balescu,Physica 36, 433 (1967).
J. Orban and A. Bellemans,Physics Letters 24A, 620 (1967).
B. J. Alder and T. E. Wainwright,J. Chem. Phys. 27, 1208 (1957).
B. J. Alder and T. E. Wainwright,J. Chem. Phys. 31, 459 (1959).
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On leave of absence from the University of Brussels, Belgium.
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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
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DOI: https://doi.org/10.1007/BF01106581