Prog. Theor. Phys. Vol. 63 No. 6 (1980) pp. 1848-1853

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A New Approach to Hard Sphere System in Equilibrium. III

— Two Dimensional Hard Disk System —

Masaru Sugiyama

Department of Engineering Sciences, Nagoya Institute of Technology, Nagoya 466

(Received October 15, 1979)

Abstract:

Thermodynamical properties of the two dimensional hard disk system are studied by a method similar to that developed in part II of the present series treating the three dimensional hard shpere system. The isothermal compressibility and the equation of state are calculated. There are two branches corresponding to liquid and solid phases. They reproduce fairly well the distinctive features of the previous data in a wide range of the density. The thermodynamical behavior in the two dimensional case is qualitatively the same as the one in the three dimensional case.

URL : http://ptp.ipap.jp/link?PTP/63/1848/
DOI : 10.1143/PTP.63.1848

References:

M. Sugiyama, Prog. Theor. Phys. 63 (1980), 1484[PTP].
M. Sugiyama, Prog. Theor. Phys. 63 (1980), 1495[PTP].
F. H. Ree and W. G. Hoover, J. Chem. Phys. 40 (1964), 939[CrossRef]; ibid. 46 (1967), 4181[CrossRef].
B. J. Alder and T. E. Wainwright, Phys. Rev. 127 (1962), 359[APS].
See, for example, W. W. Wood, Physics of Simple Liquids, edited by H. N. V. Temperley, J. S. Rowlinson and G. S. Rushbrooke (North-Holland, Amsterdam, 1968), chap. 5.
N. D. Mermin, Phys. Rev. 176 (1968), 250[APS].
See, for example, A. Münster, Satistical Thermodynamics (Springer-Verlag, Berlin, Heidelberg, New York, Academic Press, New York, London, 1969), vol. 1, part I, chap. IV, §4.9.

Citing Article(s) :

Progress of Theoretical Physics Vol. 64 No. 2 (1980) pp. 694-696 :
High Density Expansion for the Isothermal Compressibility of Hard Sphere System

Masaru Sugiyama