Skip to main content
Log in

Comparison of the supercritical states of fluids for imperfect gases and for a fractal ideal gas

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

A fractal ideal gas is studied in detail and its properties are compared with those of an imperfect gas.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. P. Maslov, “Thermodynamics of fluids for imperfect gases with Lennard-Jones interaction potential: II (the law of redestribution of energies),” Math. Notes 86(5–6), 605–611 (2009).

    Article  MATH  Google Scholar 

  2. Yu. G. Pavlenko, Lectures on Theoretical Mechanics (Fizmatlit, Moscow, 2002) [in Russian].

    Google Scholar 

  3. L. P. Filippov, Law of Corresponding States (Izd. Moskov. Univ., Moscow, 1983) [in Russian].

    Google Scholar 

  4. V. P. Maslov, “Thermodynamics of fluids for imperfect gases with Lennard-Jones interaction potential: I,” Math. Notes 86(3–4), 522–529 (2009).

    Article  MATH  Google Scholar 

  5. M. P. Vukalovich and V. V. Altunin, Thermophysical Properties of Carbon Dioxide (Atomizdat, Moscow, 1965). [in Russian]

    Google Scholar 

  6. R. H. Wentorf, “Isotherms in the critical regions of carbon dioxide and sulfur hexafluoride”, J. Chem. Phys. 24, 607 (1956).

    Article  Google Scholar 

  7. V. P. Maslov, “Threshold levels in Economics and Time Series,” Math. Notes 85(5), 305–321 (2009).

    Article  MATH  Google Scholar 

  8. V. P. Maslov, Threshold Levels in Economics, arXiv:0903.4783v2 [q-fin.ST] 3 Apr 2009.

  9. V. P. Maslov, “The λ-Point in Helium-4 and Nonholonomic Clusters” Math. Notes 87(1–2), 298–300 (2010).

    Article  Google Scholar 

  10. E. M. Lifshits and L. P. Pitaevskii, Theoretical Physics, Vol. IX: Statistical Physics, Part 2 (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  11. V. P. Maslov and D. S. Minenkov, “Comparison of thermodynamic supercritical states with experimental data,” Russ. J. Math. Phys. 17(2) (2010) (in press)

  12. G. Parisi and F. Zamponi, “A replica approach to glassy hard spheres,” Journ. of Statistical Mechanics: Theory and Experiment (IOP Publishing Ltd and SISSA), 03, P03026, 1–15, (2009).

  13. L. Berthier and T. Witten, Compressing Nearly Hard Sphere Fluids Increases Glass Fragility, arXiv:0810.4405v2 [cond-mat.stat-mech] 12 Mar 2009.

  14. V. P. Maslov and O. Yu. Shvedov, The Complex Germ Method in Many-Particle Problems and in Quantum Field Theory (Editorial URSS, Moscow, 2000) [in Russian].

    Google Scholar 

  15. A. A. Vasserman, Ya. Z. Kazavchinskii, and V. A. Rabinovich, Thermophysical Properties of Air and Air Components (Nauka, Moscow, 1966) [NBS-NSF Trans. 70-50095 (1971)].

    Google Scholar 

  16. A. A. Vasserman and V. A. Rabinovich, Thermophysical Properties of Liquid Air and Its Component (Nauka, Moscow, 1968) [NBS-NSF Trans. 69-55092 (1970)].

    Google Scholar 

  17. A. I. Burshtein,Molecular Physics (Nauka, Novosibirsk, 1986) [in Russian].

    Google Scholar 

  18. V. P. Maslov, “Thermodynamics of fluids: The law of redestribution of energy, two-dimensional condensate, and T-mapping,” Teoret. Mat. Fiz. 161(3), 422–456 (2009).

    Google Scholar 

  19. V. P. Maslov, Quantum Economics, 2nd ed. (Nauka, Moscow, 2006) [in Russian]

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. P. Maslov.

Additional information

The text was submitted by the author for the English version of the journal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maslov, V.P. Comparison of the supercritical states of fluids for imperfect gases and for a fractal ideal gas. Math Notes 87, 384–391 (2010). https://doi.org/10.1134/S0001434610030107

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434610030107

Key words

Navigation