Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915368592736256 |
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| author | Takahashi, Aoto Takata, Shigeru |
| author_facet | Takahashi, Aoto Takata, Shigeru |
| contents | The fluid-dynamic limit of the Enskog equation with a slight modification is discussed on the basis of the Chapman-Enskog method. This modified version of the Enskog equation has been shown recently by the present authors to ensure the H-theorem. In the present paper, it is shown that the modified version recovers the same fluid-dynamic description of the dense gas as the original Enskog equation, at least up to the level of the Navier-Stokes-Fourier set of equations inclusive. Since the original Enskog equation is known to recover the fluid-dynamical transport properties well, this result implies that the modified version of the Enskog equation provides consistent descriptions both thermodynamically and fluid-dynamically. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_01341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem Takahashi, Aoto Takata, Shigeru Fluid Dynamics Statistical Mechanics Mathematical Physics 82C40, 76P99 The fluid-dynamic limit of the Enskog equation with a slight modification is discussed on the basis of the Chapman-Enskog method. This modified version of the Enskog equation has been shown recently by the present authors to ensure the H-theorem. In the present paper, it is shown that the modified version recovers the same fluid-dynamic description of the dense gas as the original Enskog equation, at least up to the level of the Navier-Stokes-Fourier set of equations inclusive. Since the original Enskog equation is known to recover the fluid-dynamical transport properties well, this result implies that the modified version of the Enskog equation provides consistent descriptions both thermodynamically and fluid-dynamically. |
| title | Fluid-dynamic limit of the Enskog equation with the guaranteed H-theorem |
| topic | Fluid Dynamics Statistical Mechanics Mathematical Physics 82C40, 76P99 |
| url | https://arxiv.org/abs/2507.01341 |