Using a Cell Fluid Model for the Description of a Phase Transition in Simple Liquid Alkali Metals

Authors

  • M. P. Kozlovskii Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine
  • O. A. Dobush Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine
  • I. V. Pylyuk Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe62.10.0865

Keywords:

cell fluid model, coexistence curve, collective variables, equation of state, first-order phase transition

Abstract

This article embraces a theoretical description of the first-order phase transition in liquid metals with the application of a cell fluid model. The results are obtained through the calculation of the grand partition function without a usage of phenomenological parameters. The Morse potential is used for the calculation of the equation of state and the coexistence curve. Specific results for sodium and potassium are obtained. Comparison of the outcome of analytic expressions with data of computer simulations is presented.

References

J.D. Bringas, J. Lopez-Lemus, B. Ibarra-Tandi, P. Orea. Liquid–vapour interface of simple fluids interacting by the modified Morse potential. Molecular Simulation 37, 449 (2011).

https://doi.org/10.1080/08927022.2011.551883

L.A. Bulavin, V.L. Kulinskii. Generalized principle of corresponding states and the scale invariant mean-field approach. J. Chem. Phys. 133, 134101 (2010).

https://doi.org/10.1063/1.3496468

M.V. Fedoryuk. Asymptotic methods in analysis. In Analysis I: Integral Representations and Asymptotic Methods. Encyclopaedia of Mathematical Sciences 13, eds. M.A. Evgrafov, R.V. Gamkrelidze (Springer, 1989) p. 83.

https://doi.org/10.1007/978-3-642-61310-4_2

I.A. Girifalko, V.G. Weizer. Application of the Morse potential function to cubic metals. Phys. Rev. 114, 687 (1959).

https://doi.org/10.1103/PhysRev.114.687

L.P. Kadanoff. More is the same; Phase transitions and mean field theories. J. Stat. Phys. 137, 777 (2009).

https://doi.org/10.1007/s10955-009-9814-1

Yu. Kozitsky, M. Kozlovskii. A phase transition in a continuum Curie–Weiss system with binary interactions. arXiv:1610.01845 [math-ph], (2016).

M.P. Kozlovskii, O.A. Dobush, R.V. Romanik. Concerning a calculation of the grand partition function of a fluid model. Ukr. J. Phys. 60, 805 (2015).

https://doi.org/10.15407/ujpe60.08.0808

M. Kozlovskii, O. Dobush. Representation of the grand partition function of the cell model: The state equation in the mean-field approximation. J. Mol. Liq. 215, 58 (2016).

https://doi.org/10.1016/j.molliq.2015.12.018

M.P. Kozlovskii. Free energy of 3D Ising-like system near the phase transition point. Cond. Mat. Phys. 12, 151 (2009).

https://doi.org/10.5488/CMP.12.2.151

M.P. Kozlovskii, O.A. Dobush. Phase transition in a cell fluid model. Condens. Matter Phys. 20, 23501 (2017).

https://doi.org/10.5488/CMP.20.23501

V.L. Kulinskii, N.P. Malomuzh. The nature of the rectilinear diameter singularity. Physica A 388, 621 (2009).

https://doi.org/10.1016/j.physa.2008.11.014

R.C. Lincoln, K.M. Koliwad. Morse-potential evaluation of second- and third-order elastic constants of some cubic metals. Phys. Rev. 157, 463 (1967).

https://doi.org/10.1103/PhysRev.157.463

J.F. Nicoll. Critical phenomena of fluids: Asymmetric Landau–Ginzburg–Wilson model. Phys. Rev. A 24, 2203 (1982).

https://doi.org/10.1103/PhysRevA.24.2203

A.L. Rebenko. Cell gas model of classical statistical systems Rev. Math. Phys. 25, 1330006 (2013).

https://doi.org/10.1142/S0129055X13300069

J.K. Singh, J. Adhikari, S.K. Kwak. Vapor–liquid phase coexistence curves for Morse fluids. Fluid Phase Equilibria 248, 1 (2006).

https://doi.org/10.1016/j.fluid.2006.07.010

I.R. Yukhnovskii. The phase transition of the first order in the critical region of the gas-liquid system. Cond. Mat. Phys. 17, 43001 (2014).

https://doi.org/10.5488/CMP.17.43001

UJP 2017 V62 #10

Downloads

Published

2018-12-12

Issue

Vol. 62 No. 10 (2017)

Section

Soft matter

License

Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine

The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:

1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.

2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.

3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.

4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.

5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.

6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.

How to Cite

Using a Cell Fluid Model for the Description of a Phase Transition in Simple Liquid Alkali Metals. (2018). Ukrainian Journal of Physics, 62(10), 865. https://doi.org/10.15407/ujpe62.10.0865

Most read articles by the same author(s)