Skip to main content
SpringerLink
Log in

Effect of a measuring instrument in the “Bose condensate” of a classical gas in a phase transition and in experiments with negative pressure

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

To the memory of an outstanding and a most wise person: the historian Yurii Aleksandrovich Polyakov

Abstract

We systematically present a new approach to classical thermodynamics using asymptotic distributions from number theory that generalize the Bose-Einstein distribution. We justify the transition to the liquid state, the thermodynamics of fluids, and also the behavior of liquids in the region of negative pressures We present a comparison with experimental data.

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

Access this article

Log in via an institution

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 and S. È. Tariverdiev, J. Soviet Math., 23, 2553–2579 (1983).

    Article  Google Scholar 

  2. V. P. Maslov and O. Yu. Shvedov, The Complex Germ method in Multiparticle Problems and in Quantum Field Theory [in Russian], URSS, Moscow (2000).

    Google Scholar 

  3. V. P. Maslov, The Complex WKB Method for Nonlinear Equations [in Russian], Nauka, Moscow (1977); English transl. (Progr. Phys., Vol. 16), Birkhäuser, Basel (1994).

    Google Scholar 

  4. V. P. Maslov, Russ. J. Math. Phys., 15, 493–510 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  5. V. P. Maslov and T. V. Maslova, Theory Probab. Appl., 57, 471–498 (2012).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 3, Quantum Mechanics: Non-Relativistic Theory, Nauka, Moscow (1974); English transl. prev. ed., Pergamon, London (1958).

    Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 5, Statistical Physics, Nauka, Moscow (1964); English transl., Pergamon, Oxford (1980).

    Google Scholar 

  8. A. N. Shiryaev, Probability (Grad. Texts Math., Vol. 95), Springer, New York (1996).

    Google Scholar 

  9. P. Erdős and J. Lehner, Duke Math. J., 8, 335–345 (1941).

    Article  MathSciNet  Google Scholar 

  10. V. P. Maslov, Math. Notes, 91, 603–609 (2012).

    Article  Google Scholar 

  11. N. N. Bogolyubov, “Quasimeans in problems of statistical mechanics [in Russian],” in: Selected Works in Three Volumes, Naukova Dumka, Kiev (1971), pp. 174–243.

    Google Scholar 

  12. B. Ya. Frenkel, Yakov Il’ich Frenkel [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  13. E. M. Apfel’baum and V. S. Vorob’ev, Russ. J. Math. Phys., 18, 26–32 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  14. V. P. Maslov, “Threshold levels in economics,” arXiv:0903.4783v2 [q-fin.ST] (2009).

    Google Scholar 

  15. K. I. Shmulovich and L. Mercury, Vestnik Otdel. Nauk o Zemle RAN, 1, No. 24, 1–3 (2006).

    Google Scholar 

  16. V. P. Maslov and P. P. Mosolov, Nonlinear Wave Equations Perturbed by Viscous Term (De Gruyter Expos. Math., Vol. 31), de Gruyter, Berlin (2000).

    Book  Google Scholar 

  17. S. T. Kuroda, Scattering Theory for Differential Operators III (Lect. Notes Math., Vol. 448), Springer, Berlin.

  18. G. A. Martynov, Fundamental Theory of Liquids: Method of Distribution Functions, Adam Hilger, Bristol (1992).

    Google Scholar 

  19. G. L. Litvinov, J. Math. Sci. (N.Y.), 140, 426–444 (2007).

    Article  MathSciNet  Google Scholar 

  20. E. M. Apfelbaum and V. S. Vorob’ev, J. Phys. Chem. B, 113, 3521–3526 (2009).

    Article  Google Scholar 

  21. V. P. Maslov, Theor. Math. Phys., 161, 1681–1713 (2009).

    Article  MATH  Google Scholar 

  22. E. M. Apfelbaum, V. S. Vorob’ev, and G. A. Martynov, J. Phys. Chem. B, 110, 8474–8480 (2006).

    Article  Google Scholar 

  23. V. P. Maslov, Math. Notes, 83, 424–427 (2008).

    Article  MathSciNet  Google Scholar 

  24. V. P. Maslov, Russ. J. Math. Phys., 18, 440–464 (2011).

    Article  MathSciNet  Google Scholar 

  25. V. P. Maslov, Math. Notes, 92, 3–9, 657–663 (2012).

    Article  MATH  Google Scholar 

  26. V. P. Maslov and A. S. Mischenko, Russ. J. Math. Phys., 10, 161–172 (2003).

    MathSciNet  MATH  Google Scholar 

  27. N. E. Hurt, Geometric Quantization in Action (Math. Its Appl. East Eur. Ser., Vol. 8), Reidel, Dordrecht (1983).

    Book  MATH  Google Scholar 

  28. V. P. Maslov, Asymptotic Methods and Perturbation Theory [in Russian], Nauka, Moscow (1988).

    MATH  Google Scholar 

  29. V. P. Maslov, Russ. Math. Surveys, 38, 1–42 (1983).

    Article  ADS  MATH  Google Scholar 

  30. V. P. Maslov, Theor. Math. Phys., 170, 384–393 (2012).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Higher School of Economics, Moscow, Russia

    V. P. Maslov

Authors
  1. V. P. Maslov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Maslov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 1, pp. 93–131, April, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maslov, V.P. Effect of a measuring instrument in the “Bose condensate” of a classical gas in a phase transition and in experiments with negative pressure. Theor Math Phys 175, 526–558 (2013). https://doi.org/10.1007/s11232-013-0043-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-013-0043-z

Keywords

Search

Navigation