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The Generalized Similarity Laws and Isocontours in the Thermodynamics of Simple Liquids

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Physics of Liquid Matter: Modern Problems

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 171))

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Abstract

Several new similarity relations regarding the universal lines on the density-temperature plane are described. The first of them—the line of the unit compressibility factor or the Zeno-line —gives rise to the general equation for the liquid binodal branch and the universal correlation between the critical and the Zeno-line parameters. The latter relations have allowed us to estimate the critical points of metals, which can not be measured up to now. Besides, there is projective transformation between the linear elements of the lattice gas phase diagram and that of the continuous systems. The relation for the saturation pressure has been obtained on the basis of this correspondence. The other regularities concern to the lines of the ideal enthalpy, the enthalpy minima and the isothermal compressibility maxima. Although initially they were obtained for the van der Waals equation, they have appeared to be valid for the real substances and models described by completely different equations of state.

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Abbreviations

vdW:

Equation or system—van der Waals equation or system

LJ:

Lennard–Jones system

CP:

The Critical Point

TP:

The Triple Point

Z-line:

Zeno Line

LG:

Lattice Gas

H-line:

Line of ideal enthalpy (H)

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Acknowledgments

The work is supported by RFBR Grants No 14-08-00536, 14-08-00612, 13-08-12-248.

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Authors and Affiliations

  1. Joint Institute for High Temperatures of Russian Academy of Sciences, Izhorskaya 13 bldg. 2, Moscow, 125412, Russia

    Evgeny Apfelbaum & Vladimir Vorob’ev

Authors
  1. Evgeny Apfelbaum
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  2. Vladimir Vorob’ev
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Corresponding author

Correspondence to Evgeny Apfelbaum .

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Editors and Affiliations

  1. Faculty of Physics, Taras Shevchenko National University, Kyiv, Ukraine

    Leonid Bulavin

  2. Head of Department of Physical Chemistry of Disperse Minerals, Biocolloidal Chemistry Institute, Kiev, Ukraine

    Nikolai Lebovka

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Apfelbaum, E., Vorob’ev, V. (2015). The Generalized Similarity Laws and Isocontours in the Thermodynamics of Simple Liquids. In: Bulavin, L., Lebovka, N. (eds) Physics of Liquid Matter: Modern Problems. Springer Proceedings in Physics, vol 171. Springer, Cham. https://doi.org/10.1007/978-3-319-20875-6_6

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