Abstract
A new nonparametric equation of state describing both thermal and caloric properties of one-component systems is proposed. The equation satisfies the scaling requirements and provides a comprehensive description of critical behavior of a liquid near the evaporation point. The equation is validated by using P-V-T data for 4He. The constants obtained are used to calculate the behavior of specific heat of helium. The calculated results are compared with experiment.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. B. Griffiths, Phys. Rev. 158, 176 (1967).
G. M. Avdeeva and A. A. Migdal, Pis’ma Zh. Éksp. Teor. Fiz. 16, 253 (1972) [JETP Lett. 16, 178 (1972)].
E. Brezin, D. J. Wallace, and K. G. Wilson, Phys. Rev. B 7, 232 (1973).
P. Schofield, Phys. Rev. Lett. 22, 606 (1969); P. Schofield, G. D. Litster, and G. T. Ho, Phys. Rev. Lett. 23, 1098 (1969).
V. A. Agayan, M. A. Anisimov, and J. V. Sengers, Phys. Rev. E 64, 026 125-1 (2001).
A. G. Sartakov and V. G. Martynets, Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Khim. Nauk, No. 7 (3), 14 (1982).
C. M. Sorensen and M. D. Semon, Phys. Rev. A 21, 340 (1980); I. M. Abdulagatov and B. G. Alibekov, in Thermophysical Properties of Substances and Materials (Izd. Standartov, Moscow, 1985), No. 22, p. 97 [in Russian].
P. P. Bezverkhiĭ, V. G. Martynets, and É. V. Matizen, Zh. Éksp. Teor. Fiz. 126, 1146 (2004) [JETP 99, 998 (2004)].
A. Z. Patashinskiĭ and V. L. Pokrovskiĭ, Fluctuation Theory of Phase Transitions, 2nd ed. (Nauka, Moscow, 1982; Pergamon, Oxford, 1979).
M. R. Moldover, Phys. Rev. 182, 342 (1969).
P. P. Bezverkhiĭ, V. G. Martynets, É. V. Matizen, and V. F. Kukarin, Teplofiz. Vys. Temp. 26, 700 (1988).
V. F. Kukarin, V. G. Martynets, É. V. Matizen, and A. G. Sartakov, Fiz. Nizk. Temp. 6, 549 (1980) [Sov. J. Low Temp. Phys. 6, 263 (1980)].
P. R. Roach, Phys. Rev. 170, 213 (1968).
V. V. Sychev, A. A. Vasserman, A. D. Kozlov, et al., Thermodynamic Properties of Helium (Izd. Standartov, Moscow, 1984) [in Russian].
Author information
Authors and Affiliations
Additional information
Original Russian Text © P.P. Bezverkhiĭ, V.G. Martynets, É.V. Matizen, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 132, No. 1, pp. 162–165.
Rights and permissions
About this article
Cite this article
Bezverkhiĭ, P.P., Martynets, V.G. & Matizen, É.V. A nonparametric scaled equation of state for 4He in the critical region. J. Exp. Theor. Phys. 105, 142–144 (2007). https://doi.org/10.1134/S1063776107070308
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063776107070308