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Method of determining a structural form of the free energy satisfying the requirements of the scaling hypothesis

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We discuss a method of finding a structural form of the free energy satisfying the scaling hypothesis based on the simultaneous analysis of the asymptotic forms of the derivatives of the free energy and power functionals.

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Literature cited

  1. Sh. P. Adamov, M. A. Anisimov, A. T. Berestov, et al., “Equation of state and the calculation of thermophysical properties near the critical point,” Inzh.-Fiz. Zh.,40, No. 1, 163–164 (1981).

    Google Scholar 

  2. M. A. Anisimov, A. T. Berestov, L. S. Veksler, et al., “The scaling hypothesis and the equation of state of argon in a wide region about the critical point,” Zh. Eksp. Teor. Fiz.,66, No. 2, 742–757 (1974).

    Google Scholar 

  3. M. A. Anisimov, A. T. Berestov, V. P. Voronov, et al., “Critical exponents of fluids,” Zh. Eksp. Teor. Fiz., No. 5, 1661–1669 (1979).

    Google Scholar 

  4. V. A. Rabinovich and Yu. E. Sheludyak, “Method of comparison of the equation of state in a wide region about the critical point. Thermophysical properties of materials,” [in Russian], GSSSD, 16 (1982) (Physical Constants and Properties of Materials), pp. 108–124.

    Google Scholar 

  5. I. M. Abdulagatov, “Calculation of thermodynamic properties of pure materials in a wide region about the critical point using the method of ‘pseudospinodal’ curves,” in: Thermophysical Properties of Materials in the Condensed State [in Russian], FAN SSSR, Makhachkala (1982), pp. 199–121.

    Google Scholar 

  6. I. M. Abdulagatov, B. T. Alibekov, D. I. Vikhrov, et al., “Cv-V-T equation of state of n-pentane,” Zh. Fiz. Khim.,56, No. 1, 215–217 (1982).

    Google Scholar 

  7. I. M. Abdulagatov and B. T. Alibekov, “Equation of state of n-hexane satisfying the scaling behavior near the critical point,” Zh. Fiz. Khim.,56, No. 10, 2628–2619 (1982).

    Google Scholar 

  8. I. M. Abdulagatov and B. T. Alibekov, “Method of ‘pseudospinodal’ curves in the description of the scaling behavior of materials near the critical point,” Zh. Fiz. Khim.,57, No. 2, 468–470 (1983).

    Google Scholar 

  9. I. M. Abdulagatov and B. T. Alibekov, “Generalized equation of the (C *v -ϕ-τ) surface of n-alkane in a wide region about the critical point,” Zh. Fiz. Khim.,56, No. 2, 438–439 (1983).

    Google Scholar 

  10. V. F. Lysenkov and E. S. Platunov, “Equation of state structurally taking into account the singularities in the internal energy,” Teplofiz. Vys. Temp.,19, No. 3, 507–513 (1981).

    Google Scholar 

  11. E. S. Platunov, V. A. Rykov, and N. V. Vas'kova, “Construction of a unique equation of state using the saturation line as a reference,” in: Cryogenic Techniques, Refrigeration and Air Conditioning Devices [in Russian], LTI (Lensoveta), Leningrad (1981).

    Google Scholar 

  12. E. S. Platunov, V. F. Lysenkov, and N. V. Vas'kova, “The use of two reference curves in the construction of an equation of state of liquids and gases,” Teplofiz. Vys. Temp.,20, No. 2, 249–254 (1982).

    Google Scholar 

  13. A. T. Berestov and S. B. Kiselev, “On the matching of the scaling equation of state and the virial expansion,” Teplofiz. Vys. Temp.,17, No. 1, 1202–1209 (1979).

    Google Scholar 

  14. M. Vicentini-Missoni, G. M. H. Levelt Sengers, and M. S. Green, “Scaling analysis of thermodynamic properties in the critical region of fluids,” J. Res. NBS,73A, No. 6, 563–583 (1969).

    Google Scholar 

  15. M. P. Vukalovich and I. I. Novikov, Engineering Thermodynamics [in Russian], Énergiya, Moscow (1968).

    Google Scholar 

  16. M. A. Anisimov, “Research on critical phenomena in fluids,” Usp. Fiz. Nauk,114, No. 2, 249–294 (1974).

    Google Scholar 

  17. R. B. Griffiths, “Thermodynamic functions for fluids and ferromagnets near the critical point,” Phys. Rev.,158, No. 1, 176–187 (1967).

    Google Scholar 

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 3, pp. 455–461, March, 1985.

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Rykov, V.A., Varfolomeeva, G.B. Method of determining a structural form of the free energy satisfying the requirements of the scaling hypothesis. Journal of Engineering Physics 48, 341–345 (1985). https://doi.org/10.1007/BF00878203

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  • DOI: https://doi.org/10.1007/BF00878203

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