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TVT, 2015, Volume 53, Issue 4, Pages 506–516 (Mi tvt335)  

This article is cited in 1 scientific paper (total in 1 paper)

Thermophysical Properties of Materials

A theoretical model of the equation of state for a two-component fluid with the $exp$-$6$ potential based on the perturbation theory

Yu. A. Bogdanova, S. A. Gubin, S. B. Victorov, T. V. Gubina

National Engineering Physics Institute "MEPhI", Moscow

Abstract: A theoretical model of the equation of state of a two-component fluid with the exp-$6$ interaction potential has been developed. The model was created based on an improved version of perturbation theory. A technique for calculating the excessive Helmholtz energy of the two-component fluid is proposed. The technique is based on applying the Laplace transform for hard sphere distribution functions $g_{ij}(r)$ it considerably reduces time expenditures and increases the accuracy of calculations as compared to the technique that uses the functions $g_{ij}(r)$ directly. Based on the model proposed, the thermodynamic parameters of the two-component mixture of helium and hydrogen are calculated. To eliminate the problem of nonadditivity of hard sphere diameters and to obtain the best agreement of the calculated thermodynamic parameters with data of a computer experiment according to the Monte Carlo method, different schemes for separating the potential of interaction between helium atoms and hydrogen molecules into the reference and perturbing components were investigated.

DOI: https://doi.org/10.7868/S0040364415040079

Full text: PDF file (259 kB)
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English version:
High Temperature, 2015, 53:4, 481–490

Bibliographic databases:

UDC: 536.71
Received: 27.09.2013
Accepted:10.03.2015

Citation: Yu. A. Bogdanova, S. A. Gubin, S. B. Victorov, T. V. Gubina, “A theoretical model of the equation of state for a two-component fluid with the $exp$-$6$ potential based on the perturbation theory”, TVT, 53:4 (2015), 506–516; High Temperature, 53:4 (2015), 481–490

Citation in format AMSBIB
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\by Yu.~A.~Bogdanova, S.~A.~Gubin, S.~B.~Victorov, T.~V.~Gubina
\paper A theoretical model of the equation of state for a two-component fluid with the $\text{exp}$-$6$ potential based on the perturbation theory
\jour TVT
\yr 2015
\vol 53
\issue 4
\pages 506--516
\mathnet{http://mi.mathnet.ru/tvt335}
\crossref{https://doi.org/10.7868/S0040364415040079}
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\jour High Temperature
\yr 2015
\vol 53
\issue 4
\pages 481--490
\crossref{https://doi.org/10.1134/S0018151X15040070}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Bogdanova, S. A. Gubin, I. V. Maklashova, A. V. Kudinov, “Evaluation of thermodynamic properties of metals by a perturbation theory by example of aluminum”, XXXII International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018, UNSP 012091  crossref  isi  scopus
  • Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
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