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Eulerian variational formulations and momentum conservation laws for kinetic plasma systems
http://hdl.handle.net/10655/00012617
http://hdl.handle.net/10655/000126176528233f-5f46-4139-ad71-5869f4dd92b7
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Phys.Plasmas25_102506 (574.1 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||||||
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| 公開日 | 2021-07-28 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | Eulerian variational formulations and momentum conservation laws for kinetic plasma systems | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||
| 資源タイプ | journal article | |||||||||||||
| 著者 |
SUGAMA, Hideo
× SUGAMA, Hideo
× NUNAMI, Masanori
× SATAKE, Shinsuke
× WATANABE, T.-H.
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| 著者ID | ||||||||||||||
| 内容記述タイプ | Other | |||||||||||||
| 内容記述 | 0000-0001-5444-1758 | |||||||||||||
| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | The Eulerian variational principle for the Vlasov-Poisson-Ampère system of equations in a general coordinate system is presented. The invariance of the action integral under an arbitrary spatial coordinate transformation is used to obtain the momentum conservation law and the symmetric pressure in a more direct way than using the translational and rotational symmetries of the system. Next, the Eulerian variational principle is given for the collisionless drift kinetic equation, where particles' phase-space trajectories in given electromagnetic fields are described by Littlejohn's guiding center equations [R. G. Littlejohn, J. Plasma Phys. 29, 111 (1983)]. Then, it is shown that, in comparison with the conventional moment method, the invariance under a general spatial coordinate transformation yields a more convenient way to obtain the momentum balance as a three-dimensional vector equation in which the symmetric pressure tensor, the Lorentz force, and the magnetization current are properly expressed. Furthermore, the Eulerian formulation is presented for the extended drift kinetic system, for which, in addition to the drift kinetic equations for the distribution functions of all particle species, the quasineutrality condition and Ampère's law to determine the self-consistent electromagnetic fields are given. Again, the momentum conservation law for the extended system is derived from the invariance under the general spatial coordinate transformation. Besides, the momentum balances are investigated for the cases where the collision and/or external source terms are added to the Vlasov and drift kinetic equations. | |||||||||||||
| 書誌情報 |
Physics of Plasmas 巻 25, p. 102506, 発行日 2018-10-11 |
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| 出版者 | ||||||||||||||
| 出版者 | AIP Publishing | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||
| 収録物識別子 | 1070664X | |||||||||||||
| 書誌レコードID | ||||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||||
| 収録物識別子 | AA10987555 | |||||||||||||
| DOI | ||||||||||||||
| 関連タイプ | isIdenticalTo | |||||||||||||
| 識別子タイプ | DOI | |||||||||||||
| 関連識別子 | https://doi.org/10.1063/1.5031155 | |||||||||||||
| 権利 | ||||||||||||||
| 権利情報 | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Plasmas 25, 102506 (2018) and may be found at https://doi.org/10.1063/1.5031155. | |||||||||||||
| 権利 | ||||||||||||||
| 権利情報 | opyright 2018 Author(s). This article is distributed under a Creative Commons Attribution (CC BY) License. | |||||||||||||
| 関連サイト | ||||||||||||||
| 識別子タイプ | URI | |||||||||||||
| 関連識別子 | https://aip.scitation.org/doi/abs/10.1063/1.5031155 | |||||||||||||
| 関連名称 | Publisher version | |||||||||||||
| 著者版フラグ | ||||||||||||||
| 出版タイプ | VoR | |||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||
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SUGAMA, Hideo, NUNAMI, Masanori, SATAKE, Shinsuke, WATANABE, T.-H., 2018, Eulerian variational formulations and momentum conservation laws for kinetic plasma systems: AIP Publishing, 102506– p.
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