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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10060 |
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| _version_ | 1866916573624664064 |
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| author | Wang, Yanpeng Wu, Shichao Fan, Peifeng |
| author_facet | Wang, Yanpeng Wu, Shichao Fan, Peifeng |
| contents | A kinetic moment-closed model (KMCM), derived from the Vlasov-Fokker-Planck (VFP) equation with spherically symmetric velocity space, is introduced as a general relaxation model for homogeneous plasmas. The closed form of this model is presented by introducing a set new functions called $R$ function and $R$ integration. This nonlinear model, based on the finitely distinguishable independent features (FDIF) hypothesis, enables the capture of the nature of the equilibrium state. From this relaxation model, a general temperature relaxation model is derived when velocity space exhibits spherical symmetry, and the general characteristic frequency of temperature relaxation is presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General relaxation model for a homogeneous plasma with spherically symmetric velocity space Wang, Yanpeng Wu, Shichao Fan, Peifeng Plasma Physics Mathematical Physics 52.65.Ff, 52.25.Fi, 52.25.Dg, 52.35.Sb A kinetic moment-closed model (KMCM), derived from the Vlasov-Fokker-Planck (VFP) equation with spherically symmetric velocity space, is introduced as a general relaxation model for homogeneous plasmas. The closed form of this model is presented by introducing a set new functions called $R$ function and $R$ integration. This nonlinear model, based on the finitely distinguishable independent features (FDIF) hypothesis, enables the capture of the nature of the equilibrium state. From this relaxation model, a general temperature relaxation model is derived when velocity space exhibits spherical symmetry, and the general characteristic frequency of temperature relaxation is presented. |
| title | General relaxation model for a homogeneous plasma with spherically symmetric velocity space |
| topic | Plasma Physics Mathematical Physics 52.65.Ff, 52.25.Fi, 52.25.Dg, 52.35.Sb |
| url | https://arxiv.org/abs/2409.10060 |