Liquid-gas state regularities as a manifestation of global isomorphism with the Ising model

Authors

  • L. A. Bulavin Department of Molecular Physics, Taras Shevchenko National University of Kyiv, 2 Academician Glushkov Prosp., 03022 Kyiv, Ukraine https://orcid.org/0000-0002-8063-6441
  • V. L. Kulinskyi Faculty of Mathematics, Physics and Information Technologies, Odesa I. I. Mechnikov National University, 2 V. Zmijenka St., 65026 Odesa, Ukraine; Department of Physics and Mathematics, Odesa National University of Technology, 112 Kanatna St., 65039 Odesa, Ukraine https://orcid.org/0000-0002-5139-843X
  • A. M. Katts Faculty of Mathematics, Physics and Information Technologies, Odesa I. I. Mechnikov National University, 2 V. Zmijenka St., 65026 Odesa, Ukraine https://orcid.org/0009-0009-3656-9446
  • A. M. Maslechko Faculty of Mathematics, Physics and Information Technologies, Odesa I. I. Mechnikov National University, 2 V. Zmijenka St., 65026 Odesa, Ukraine https://orcid.org/0000-0002-1965-4499

DOI:

https://doi.org/10.5488/cmp.28.23603

Keywords:

liquid-gas phase transition, critical phenomena, Ising model

Abstract

Liquid-gas equilibrium is considered using the global isomorphism with the Ising-like (lattice gas) model. Such an approach assumes the existence of the order parameter in terms of which the symmetry of binodal is restored not only in the vicinity of the critical point (critical isomorphism) but also globally in the whole coexistence region. We show how the empirical law of the rectilinear density diameter of the liquid-gas binodal allows us to derive a rather simple form of the isomorphism transformation between the fluid and lattice gas model of Ising-type. The relations for critical parameters which follow from such isomorphism are tested on a variety of fluid systems, both real and model ones. Moreover, we consider the phase equilibrium in polymer solutions and the Flory θ-point as the extreme state of such equilibrium within our approach. The most crucial testing in 2D case is using the Onsager exact solution of the Ising model, and we represent the results of our approach to the calculation of critical point parameters of monolayers for noble gases and the surface tension.

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Published

2025-06-25

Issue

Vol. 28 No. 2 (2025): Special issue dedicated to the 100th anniversary of Prof. Ihor Yukhnovskii

Section

Сollection of the articles dedicated to the 100th anniversary of Prof. Ihor Yukhnovskii

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Copyright (c) 2025 L. A. Bulavin, V. L. Kulinskyi, A. M. Katts, A. M. Maslechko

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

[1]
L. A. Bulavin, V. L. Kulinskyi, A. M. Katts, and A. M. Maslechko, “Liquid-gas state regularities as a manifestation of global isomorphism with the Ising model”, Condens. Matter Phys., vol. 28, no. 2, p. 23603, Jun. 2025, doi: 10.5488/cmp.28.23603.

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