Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908353390706688 |
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| author | Takata, Shigeru Takahashi, Aoto |
| author_facet | Takata, Shigeru Takahashi, Aoto |
| contents | A novel modification of the original Enskog equation is proposed. The modification is much simpler than that is made in the modified (or revised) Enskog equation proposed by van Beijeren \& Ernst in 1973 and does not require a consideration of many-body configuration. The proposed modification is general enough to be adapted to various equations of states for non-ideal gases. It is shown that the H-theorem can be established for the Enskog and the Enskog--Vlasov equation with the proposed modification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem Takata, Shigeru Takahashi, Aoto Statistical Mechanics Mathematical Physics 82D05, 82C40, 82C05 A novel modification of the original Enskog equation is proposed. The modification is much simpler than that is made in the modified (or revised) Enskog equation proposed by van Beijeren \& Ernst in 1973 and does not require a consideration of many-body configuration. The proposed modification is general enough to be adapted to various equations of states for non-ideal gases. It is shown that the H-theorem can be established for the Enskog and the Enskog--Vlasov equation with the proposed modification. |
| title | Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem |
| topic | Statistical Mechanics Mathematical Physics 82D05, 82C40, 82C05 |
| url | https://arxiv.org/abs/2502.04744 |