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    Enskog and Enskog-Vlasov equations with a modified correlation factor and their H theorem

    Shigeru Takata* and Aoto Takahashi†

    • Department of Aeronautics and Astronautics, Kyoto University, Kyoto-daigaku-katsura, Kyoto 615-8540, Japan

    • *Contact author: takata.shigeru.4a@kyoto-u.ac.jp
    • †Contact author: takahashi.aoto.63c@st.kyoto-u.ac.jp

    Phys. Rev. E 111, 065108 – Published 30 June, 2025

    DOI: https://doi.org/10.1103/3jnf-mw6y

    Abstract

    A modification of the original Enskog equation, which is different from the so-called modified (or revised) Enskog equation, is proposed. The modification changes the correlation factor from a function of density to a functional of density in a simple form without series structure. The present modification is semiphenomenological but is generic to be adapted to a given equation of state for nonideal gases. It is shown that the H theorem can be established for the Enskog and the Enskog-Vlasov equation with the proposed modification.

    Physics Subject Headings (PhySH)

    Corrections

    4 May, 2026

    Correction: The equation previously numbered as (E5a) was incorrect and has been removed, along with corresponding text preceding it. Notation at the end of Appendix E has been modified to correlate with the removal of Eq. (E5a).

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