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Exact statistics of three-hard-disk system in two-dimensional space

Author

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  • Cao, Zhoujian
  • Li, Haihong
  • Munakata, Toyonori
  • He, Dahai
  • Hu, Gang

Abstract

A system with three hard particles in two-dimensional rectangle container is investigated. The system motion is chaotic and ergodic in energy surface. The partition function of the system in its energy surface is analytically calculated based on a suitable configuration classification. Theoretical results are fully confirmed by numerical simulations. A van der Waals-like behavior, i.e., increasing system size results in increasing pressure on the container wall, is revealed in some region of the container size. This generalizes the observation of the two-hard-disk system of Phys. Rev. E 65 (2002) 066104.

Suggested Citation

  • Cao, Zhoujian & Li, Haihong & Munakata, Toyonori & He, Dahai & Hu, Gang, 2004. "Exact statistics of three-hard-disk system in two-dimensional space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 187-200.
    • Handle: RePEc:eee:phsmap:v:334:y:2004:i:1:p:187-200
    DOI: 10.1016/j.physa.2003.11.004
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    Keywords

    Ergodic; Van der Waals;

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