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

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

Physica A: Statistical Mechanics and its Applications, 2004, vol. 334, issue 1, 187-200

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.

Keywords: Ergodic; Van der Waals (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:334:y:2004:i:1:p:187-200

DOI: 10.1016/j.physa.2003.11.004

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