Deriving integral equations for radial distribution functions of multicomponent mixtures on the basis of scale transformations in the phase space

Bulavin, L. A.; Sysoev, V. M.; Fakhretdinov, I. A.

doi:10.1007/bf02634065

Cited by 1 publication

(2 citation statements)

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“…( 1) is out of question, the strict physical origin of the equations as well as the meaning of its coefficients is still a discussed question. Several attempts to clarify this problem are known: from earlier thermodynamic interpretations [2,3,4] to more recent statistical physics approaches [5,6].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the simple formula (5) with the parameters depending on the saturated values only, gives a worthy prediction for the density under pressure even if it cannot serve as high-accurate interpolation of the actually given data. Additionally, it has an advantage of the clear physical meaning of its coefficients, as it will be discussed below.…”

Section: Introductionmentioning

confidence: 99%

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Tait Equation Revisited from the Entropic and Fluctuational Points of View

2014

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We consider the possibilities for prediction of liquids' density under pressure basing on the inverse reduced fluctuations parameter, which is directly connected with the isothermal compressibility. This quantity can be determined basing on the thermodynamical properties of saturated liquid and it consists of only two constant parameters within a relatively wide region close to the melting points. It is confirmed by the comparison with the experimental data on n-alkanes that the derived expression is a quite reasonable estimator without a necessity to fit data along some parts of isotherms for different temperatures. At the same time the obtained formula: i) can be reduced to the form of the Tait equation and ii) the resulting Tait's parameters in this representation have a clear physical meaning as functions of the excess entropy, which determines the mentioned reduced fluctuations.

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