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Van der Waals equation from the viewpoint of probability distribution and the triple point as the critical point of the liquid-to-solid transition

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Abstract

We show that a distribution of the type of the Bose-Einstein distribution describes the van der Waals gas, while the Fermi-Dirac distribution describes the van der Waals liquid. We present the construction of the binodal, the melting curve, and the liquid-to-amorphous-solid transition under negative pressure. The notion of correlation sphere and the two-scale picture on the Hougen-Watson diagram are used.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow Institute of Electronics and Mathematics, Moscow, Russia

    V. P. Maslov

  2. A. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    V. P. Maslov

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  1. V. P. Maslov
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Correspondence to V. P. Maslov.

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Arnold. You’ve made your bed and I’m afraid you must lie on it. p ]William Somerset Maugham, “The Circle.”

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Maslov, V.P. Van der Waals equation from the viewpoint of probability distribution and the triple point as the critical point of the liquid-to-solid transition. Russ. J. Math. Phys. 22, 188–200 (2015). https://doi.org/10.1134/S1061920815020065

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  • DOI: https://doi.org/10.1134/S1061920815020065

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