Skip to main content
SpringerLink
Log in

Layering Phase Transition in a Liquid Solution with Cross Hydrogen Bonds: Bond Number Density as the Second Order Parameter

  • PHASE TRANSITIONS
  • Published:
Physics of Wave Phenomena Aims and scope Submit manuscript

Abstract

An isobaric equation of state of a binary solution with hydrogen bonds is derived using the thermodynamic grid model. Temperature dependences of the molecular and bond concentrations are calculated. The dependences demonstrate phase transitions, for which both concentrations serve as the order parameters. It is shown that this bicomponent can give rise to new properties of the solution. In particular, there is a threshold hydrogen bond energy over which condensation of hydrogen bonds occurs in a certain range of molecular concentrations.

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.

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. J. Frenkel, Kinetic Theory of Liquids (Oxford Univ. Press, Oxford, 1946).

    MATH  Google Scholar 

  2. D. Eisenberg and W. Kauzmann, The Structure and Properties of Water (Clarendon, Oxford, 1969).

    Google Scholar 

  3. G. G. Malenkov, “Structure, dynamics, and some properties of water,” Phys. Wave Phenom. 28 (2), 154–160 (2020).

    Article  ADS  Google Scholar 

  4. A. A. Vedenov, Physics of Solutions (Nauka, Moscow, 1984) [in Russian].

    Google Scholar 

  5. N. G. van Kampen, “Condensation of a classical gas with long-range attraction,” Phys. Rev.135 (2), A362–A368 (1964). https://doi.org/10.1103/PhysRev.135.A362

    Article  ADS  MathSciNet  Google Scholar 

  6. G. A. Lyakhov and I. A. Shcherbakov, “Approaches to the physical mechanisms and theories of low-concentration effects in aqueous solutions,” Phys. Wave Phenom. 27 (2), 79–86 (2019). https://doi.org/10.3103/S1541308X19020018

    Article  ADS  Google Scholar 

  7. L. Santalo, Integral Geometry and Geometric Probability (Addison-Wesley, Reading, Mass., 1976).

    MATH  Google Scholar 

  8. Ya. B. Zel’dovich, S. A. Molchanov, A. A. Ruzmaikin, and D. D. Sokolov, “Intermittency in random media,” Sov. Phys.-Usp. 30 (5), 353–369 (1987). https://doi.org/10.1070/PU1987v030n05ABEH002867

    Article  ADS  MathSciNet  Google Scholar 

  9. E. G. Tarakanova, G. V. Yukhnevich, I. S. Kislina, and V. D. Maiorov, “Structure and regularities of formation of H-bonded complexes in aqueous and nonaqueous binary solutions,” Phys. Wave Phenom. 28 (2), 168–175 (2020).

    Article  ADS  Google Scholar 

  10. Yu. V. Novakovskaya, “Hydrogen-bond network of water and irradiation effects,” Phys. Wave Phenom. 28 (2), 161–167 (2020).

    Article  ADS  Google Scholar 

  11. S. Sternberg, Lectures on Differential Geometry (AMS Chelsea, Providence, Rhode Island, 1999).

    MATH  Google Scholar 

  12. I. A. Shcherbakov, “Formation of nano-objects in liquid media under external influence,” Phys. Wave Phenom. 28 (2), 83–87 (2020). https://doi.org/10.3103/S1541308X20020156

    Article  ADS  Google Scholar 

  13. M.A. Anisimov, E.E. Gorodetskii, V.M. Zaprudskii, “Phase transitions with coupled order parameters,” Sov. Phys.-Usp. 24 (1), 57–75 (1981). https://doi.org/10.1070/PU1981v024n01ABEH004612

    Article  ADS  Google Scholar 

  14. G. A. Lyakhov, “Lower critical point for stratification of a liquid solution: Dependence on the energy and lifetime of intermolecular bonds,” JETP Lett. 60 (2), 99–101 (1994).

    ADS  Google Scholar 

  15. N. B. Lyakhova, A. V. Shkirin, and G. A. Lyakhov, “Stochastic approach to the theory of stratification of water and aqueous solutions: A model of twinkling hydrogen bonds,” Phys. Wave Phenom. 24 (2), 142–151 (2016). https://doi.org/10.3103/S1541308X16020096

    Article  ADS  Google Scholar 

  16. V. P. Skripov and A. V. Skripov, “Spinodal decomposition (phase transitions via unstable states),” Sov. Phys.-Usp.22 (6), 389–410 (1979). https://doi.org/10.1070/PU1979v022n06ABEH005571

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Prokhorov General Physics Institute of the Russian Academy of Sciences, 119991, Moscow, Russia

    G. A. Lyakhov, I. A. Shcherbakov & M. A. Shermeneva

  2. National Research Nuclear University MEPhI, 115409, Moscow, Russia

    M. A. Shermeneva

Authors
  1. G. A. Lyakhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. A. Shcherbakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. A. Shermeneva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Shermeneva.

Additional information

Translated by M. Potapov

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lyakhov, G.A., Shcherbakov, I.A. & Shermeneva, M.A. Layering Phase Transition in a Liquid Solution with Cross Hydrogen Bonds: Bond Number Density as the Second Order Parameter. Phys. Wave Phen. 28, 236–240 (2020). https://doi.org/10.3103/S1541308X20030139

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1541308X20030139

Search

Navigation