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Statistics corresponding to classical thermodynamics. Construction of isotherms

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Abstract

We provide a detailed explanation of the physical meaning of some concepts used in the new statistics corresponding to thermodynamics, including the notions of locally ideal gas, number of collective degrees of freedom, and jamming factor. The equation of state is treated as a surface in three-dimensional space, and the spinodal is viewed as an Arnold catastrophe for a quasistatic process. We show that the parameters derived according to the new statistics completely coincide with the parameters of the van der Waals gas and also make a comparison with nitrogen. Directions of research are outlined for the construction of statistics in mesoscopic physics.

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Authors and Affiliations

  1. Faculty of Physics, Lomonosov Moscow State University, Vorob’evy gory, Moscow, 119899, 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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Maslov, V.P. Statistics corresponding to classical thermodynamics. Construction of isotherms. Russ. J. Math. Phys. 22, 53–67 (2015). https://doi.org/10.1134/S1061920815010082

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  • DOI: https://doi.org/10.1134/S1061920815010082

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