Prog. Theor. Phys. Vol. 53 No. 1 (1975) pp. 66-73

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On the Yang-Lee Distribution of Zeros for a Gas Obeying van der Waals' Equation of State. IV

— Calculations for High Temperatures —

Kazuyosi Ikeda

Department of Applied Physics, Faculty of Engineering, Osaka University, Suita, Osaka

(Received August 29, 1973)

Abstract:

With the use of the arguments in paper II, the distribution of zeros of the grand partition function for a gas obeying van der Waal's equation of state is calculated for temperatures high compared with the critical temperature. The positions of the branch points of the pressure considered as a function of the activity are found, and the pressure is expanded near a branch point, P₁, not lying on the real axis. By the use of these results the equation for the zero line and the distribution function near the branch point P₁ and near its conjugate P₂ are obtained. A zeroth approximation to the position H at which the zero line crosses the negative real axis is obtained. The distribution function for zeros on the part of the negative real axis between the point H and -∞ is calculated, in particular near H and near -∞.

URL : http://ptp.ipap.jp/link?PTP/53/66/
DOI : 10.1143/PTP.53.66

References:

K. Ikeda, Prog. Theor. Phys. 52 (1974), 54, [PTP]referred to as I.
K. Ikeda, Prog. Theor. Phys. 52 (1974), 415, [PTP]referred to as II.
K. Ikeda, Prog. Theor. Phys. 52 (1974), 840, [PTP]referred to as III.
P. C. Hemmer and E. H. Hauge, Phys. Rev. 133 (1964), A1010[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 27-44 :
Distribution of Zeros and the Equation of State. II

Kazuyosi Ikeda
Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 471-492 :
Distribution of Zeros and the Equation of State. III

Kazuyosi Ikeda
Progress of Theoretical Physics Vol. 68 No. 3 (1982) pp. 744-763 :
Distribution of Zeros and the Equation of State. IV

Kazuyosi Ikeda