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Teplofizika vysokikh temperatur, 2007, Volume 45, Issue 4, Pages 510–517
(Mi tvt1061)
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This article is cited in 4 scientific papers (total in 4 papers)
Thermophysical Properties of Materials
Nonparametric scaling equation of state for description of critical behavior of liquid
P. P. Bezverkhii, V. G. Martynets, E. V. Matizen Nikolaev Institute of Inorganic Chemistry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
A new nonparametric scaling equation of state is suggested for the description of equilibrium thermodynamic properties of liquids in the vicinity of the critical point. The equation contains three system-dependent fitting constants. This equation is used to perform approximation of experimental $P$–$\rho$–$T$ data for $\text{He}^4$ in the range of reduced densities of $-0.45 < (\rho - \rho_c)\rho_c < 0.37$ with mean-square error with respect to pressure of $18\%$ for the values of critical exponents adopted for the three-dimensional Ising model. The behavior of isochoric heat capacity of $\text{He}_4$ in the critical region is calculated using the fitting constants obtained as a result of approximation of $P$–$\rho$–$T$ data. The error of calculation by the new equation of the experimental data with respect to $C_V$ for $\text{He}^4$ in the ranges of reduced temperatures $(T - T_c)/T_c$ from $-0.3$ to $-0.001$ and from $0.001$ to $0.2$ does not exceed $4\%$.
Received: 11.01.2006
Citation:
P. P. Bezverkhii, V. G. Martynets, E. V. Matizen, “Nonparametric scaling equation of state for description of critical behavior of liquid”, TVT, 45:4 (2007), 510–517; High Temperature, 45:4 (2007), 456–462
Linking options:
https://www.mathnet.ru/eng/tvt1061 https://www.mathnet.ru/eng/tvt/v45/i4/p510
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Abstract page: | 148 | Full-text PDF : | 57 |
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