Local H theorem for Enskog and Enskog-Vlasov equations with a modified Enskog factor

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Auteurs principaux: Takahashi, Aoto, Takata, Shigeru
Format: Preprint
Publié: 2026
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_version_ 1866918433368571904
author Takahashi, Aoto
Takata, Shigeru
author_facet Takahashi, Aoto
Takata, Shigeru
contents The local H theorem is shown to hold for the Enskog equation with a modified Enskog factor proposed by the authors [Phys. Rev. E 111, 065108 (2025)]. This is a stronger statement than the global one in the same paper and has been obtained along the lines of Mareschal et al. [Phys. Rev. Lett. 52, 1169-1172 (1984)] for the modified (or revised) Enskog equation. Furthermore, it is shown that the local H theorem also holds for the corresponding Enskog-Vlasov equation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06540
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Local H theorem for Enskog and Enskog-Vlasov equations with a modified Enskog factor
Takahashi, Aoto
Takata, Shigeru
Analysis of PDEs
Statistical Mechanics
82D05, 82C40, 82C05
The local H theorem is shown to hold for the Enskog equation with a modified Enskog factor proposed by the authors [Phys. Rev. E 111, 065108 (2025)]. This is a stronger statement than the global one in the same paper and has been obtained along the lines of Mareschal et al. [Phys. Rev. Lett. 52, 1169-1172 (1984)] for the modified (or revised) Enskog equation. Furthermore, it is shown that the local H theorem also holds for the corresponding Enskog-Vlasov equation.
title Local H theorem for Enskog and Enskog-Vlasov equations with a modified Enskog factor
topic Analysis of PDEs
Statistical Mechanics
82D05, 82C40, 82C05
url https://arxiv.org/abs/2604.06540