Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915900685287424 |
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| author | Shim, Jae Wan |
| author_facet | Shim, Jae Wan |
| contents | Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an isothermal, single-component gas in the hydrodynamic (small-Knudsen) regime. This absence is specific to the Maxwellian local-equilibrium weight. We show that when the closure is constructed about a generalized class of isotropic non-Maxwellian reference weights with finite fourth moment -- characterized by a single shape parameter (a kurtosis-like moment ratio) that deforms the distribution continuously away from a Maxwellian -- the small-Knudsen constitutive reduction retains a bulk pressure-gradient (barothermal) contribution to the conductive heat flux. This mechanism predicts pressure-driven conduction as a direct kinetic signature of non-Maxwellian equilibrium moment structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21245 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States Shim, Jae Wan Mathematical Physics Computational Physics Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an isothermal, single-component gas in the hydrodynamic (small-Knudsen) regime. This absence is specific to the Maxwellian local-equilibrium weight. We show that when the closure is constructed about a generalized class of isotropic non-Maxwellian reference weights with finite fourth moment -- characterized by a single shape parameter (a kurtosis-like moment ratio) that deforms the distribution continuously away from a Maxwellian -- the small-Knudsen constitutive reduction retains a bulk pressure-gradient (barothermal) contribution to the conductive heat flux. This mechanism predicts pressure-driven conduction as a direct kinetic signature of non-Maxwellian equilibrium moment structure. |
| title | Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States |
| topic | Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2602.21245 |