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This article is cited in 4 scientific papers (total in 4 papers)
Supercritical fluid of particles with a Yukawa potential: A new approximation for the direct correlation function and the Widom line
E. E. Tareeva, V. N. Ryzhov
Vereshchagin Institute for High Pressure Physics, RAS,
Troitsk, Moscow Oblast, Russia
Abstract:
We propose an approximation of a direct correlation function corresponding to the linearization with respect to ${-}\beta\phi(r)$ of a generalized mean spherical approximation for a hard-core multi-Yukawa system of particles. We use the results to study the behavior of maximums of thermodynamic response functions in the supercritical region of a fluid with a two-term Yukawa potential imitating the Lennard-Jones potential.
Keywords:
direct correlation function, supercritical fluid, Widom line, Yukawa potential
| Funding Agency |
Grant Number |
Russian Foundation for Basic Research  |
14-22-00093
14-12-00820 |
The research of E. E. Tareeva (Secs. 2 and 3) was
supported by a grant from the Russian Science Foundation (Project
No. 14-22-00093).
The research of V. N. Ryzhov (Secs. 1 and 4) was
supported by a grant from the Russian Science Foundation (Project
No. 14-12-00820). |
DOI:
https://doi.org/10.4213/tmf9246
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English version:
Theoretical and Mathematical Physics, 2016, 189:3, 1806–1817
Bibliographic databases:
    
Received: 22.06.2016
Citation:
E. E. Tareeva, V. N. Ryzhov, “Supercritical fluid of particles with a Yukawa potential: A new approximation for the direct correlation function and the Widom line”, TMF, 189:3 (2016), 464–476; Theoret. and Math. Phys., 189:3 (2016), 1806–1817
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Linking options:
http://mi.mathnet.ru/eng/tmf9246https://doi.org/10.4213/tmf9246 http://mi.mathnet.ru/eng/tmf/v189/i3/p464
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This publication is cited in the following articles:
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T. Bryk, F. A. Gorelli, I. Mryglod, G. Ruocco, M. Santoro, T. Scopigno, “Behavior of supercritical fluids across the “Frenkel line””, J. Phys. Chem. Lett., 8:20 (2017), 4995–5001
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E. E. Tareyeva, Yu. D. Fomin, E. N. Tsyok, V. N. Ryzhov, “Supercritical anomalies and the Widom line for the isostructural phase transition in solids”, Theoret. and Math. Phys., 194:1 (2018), 148–156
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V. V. Brazhkin, C. Prescher, Yu. D. Fomin, E. N. Tsiok, A. G. Lyapin, V. N. Ryzhov, V. B. Prakapenka, J. Stefanski, K. Trachenko, A. Sapelkin, “Comment on “behavior of supercritical fluids across the 'Frenkel line”'”, J. Phys. Chem. B, 122:22 (2018), 6124–6128
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V. N. Ryzhov, E. E. Tareyeva, Yu. D. Fomin, E. N. Tsiok, “Complex phase diagrams of systems with isotropic potentials: results of computer simulations”, Phys. Usp., 63:5 (2020), 417–439
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