Abstract
The equilibrium thermodynamic properties of a system with a four-parameter oscillating interaction potential which can be reduced to an oscillating potential with a single varying parameter is studied in the context of the statistical approach. The appearance of a phase transition of the first kind in the system is established. The relations between the geometric characteristics of potential with coordinates of critical points are obtained. The temperature dependences of some thermophysical properties on the phase equilibrium line and in the supercritical region are found. Thermodynamic parameters that depend on temperature and density are represented as functions of a constituting parameter connected with the interaction potential. The results of calculations are compared with the measurement data.
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References
Zubarev, D.N., Dokl. Akad. Nauk SSSR, 1954, vol. 35, no. 4, p. 757.
Zakharov, A.Yu., Phys. Lett. A, 1990, vol. 147, nos. 8–9, p. 442.
Yukhnovskii, I.R. and Golovko, M.F., Statisticheskaya teoriya klassicheskikh ravnovesnykh sistem (The Statistical Theory of Classical Equilibrium Systems), Kiev: Naukova Dumka, 1980.
Yukhnovskii, I.R., Teoriya fazovykh perekhodov vtorogo roda. Metod kollektivnykh peremennykh (Theory of Second-Order Phase Transitions: The Method of Collective Variables), Kiev: Naukova Dumka, 1985.
Zakharov, A.Yu. and Loktionov, I.K., Theor. Math. Phys., 1999, vol. 119, no. 1, p. 532.
Loktionov, I.K., High Temp., 2011, vol. 49, no. 4, p. 512.
Zakharov, A.Yu., Russ. J. Phys. Chem. A, 2000, vol. 74, no. 1, p. 40.
Zakharov, A.Yu., Izv. Akad. Nauk, Ser. Fiz., 2004, vol. 68, no. 7, p. 938.
Zakharov, A.Yu., Int. J. Quantum Chem., 2004, vol. 96, p. 234.
Zakharov, A.Yu., Int. J. Quantum Chem., 2004, vol. 100, p. 442.
Baus, M. and Tejero, C.F., Equilibrium Statistical Physics: Phases of Matter and Phase Transitions, Brussels, Belgium: Springer, 2008.
Ruelle, D., Statistical Mechanics: Rigourous Results, New York: Benjamin, 1969.
Heyes, D.M. and Rickayzen, G., J. Phys.: Condens. Matter, 2007, no. 19, p. 1.
Loktionov, I.K., High Temp., 2012, vol. 50, no. 6, p. 708.
Loktionov, I.K., High Temp., 2012, vol. 50, no. 3, p. 359.
Kitaigorodskii, A.I., Usp. Fiz. Nauk, 1979, vol. 127, no. 3, p. 391.
Altunin, V.V. and Gadetskii, O.G., Teplofiz. Vys. Temp., 1971, vol. 9, no. 3, p. 527.
Kaplan, I.G., Vvedenie v teoriyu mezhmolekulyarnykh vzaimodeistvii (Introduction to the Theory of Intermolecular Interactions), Moscow: Nauka, 1982.
Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.A., Integrals and Series, New York: Gordon and Breach, 1986.
Ulenbek, G., Usp. Fiz. Nauk, 1971, vol. 103, no. 2, p. 275.
Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., The Molecular Theory of Gases and Liquids New York: Wiley, 1954.
Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei (A Reference Book on Thermal and Physical Properties of Gases and Liquids), Moscow: Fizmatgiz, 1972.
Tablitsy fizicheskikh velichin. Spravochnik (Tables of Physical Quantities: A Reference Book), Kikoin, I.K., Ed., Moscow: Atomizdat, 1976.
Stewart, R.B. and Jacobsen, R.T., J. Phys. Chem. Ref. Data, 1989, vol. 18, no. 2, p. 639.
Kaganer, M.G., Zh. Fiz. Khim., 1958, vol. 32, no. 2, p. 332.
Shpil’rain, E.E. and Kessel’man, P.M., Osnovy teorii teplofizicheskikh svoistv veshchestv (Fundamentals of the Theory of Thermal and Physical Properties of Substances), Moscow: Energiya, 1977.
Novikov, I.I., in Uravneniya sostoyaniya gazov i zhidkostei. K stoletiyu uravneniya Van-der-Vaal’sa (The Equations of State of Gases and Liquids. On the Centenary of the Van der Waals Equation), Moscow: Nauka, 1975, p. 264.
Nozdrev, V.F. and Fedorishchenko, N.V., Molekulyarnaya akustika (Molecular Acoustics), Moscow: Vysshaya Shkola, 1974.
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Original Russian Text © I.K. Loktionov, 2014, published in Teplofizika Vysokikh Temperatur, 2014, Vol. 52, No. 3, pp. 402–414.
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Loktionov, I.K. Studying equilibrium thermophysical properties of simple liquids based on a four-parameter oscillating interaction potentia. High Temp 52, 390–402 (2014). https://doi.org/10.1134/S0018151X14020151
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DOI: https://doi.org/10.1134/S0018151X14020151