Abstract:
We propose an approximation of a direct correlation function corresponding to the linearization with respect to −βϕ(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.
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).
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:
https://www.mathnet.ru/eng/tmf9246
https://doi.org/10.4213/tmf9246
https://www.mathnet.ru/eng/tmf/v189/i3/p464
This publication is cited in the following 6 articles:
Ilnaz I. Fairushin, Anatolii V. Mokshin, “Calculation of Thermodynamic Characteristics and Sound Velocity for Two-Dimensional Yukawa Fluids Based on a Two-Step Approximation for the Radial Distribution Function”, Fluids, 8:2 (2023), 72
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
I. I. Fairushin, S. A. Khrapak, A. V. Mokshin, “Direct evaluation of the physical characteristics of yukawa fluids based on a simple approximation for the radial distribution function”, Results Phys., 19 (2020), 103359
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
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
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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