On the Poisson brackets of hybrid plasma models with kinetic ions and massless electrons
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911153516445696 |
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| author | Li, Yingzhe Morrison, Philip J. Possanner, Stefan Sonnendrücker, Eric |
| author_facet | Li, Yingzhe Morrison, Philip J. Possanner, Stefan Sonnendrücker, Eric |
| contents | We investigate the conditions under which the Jacobi identity holds for a class of recently introduced anti-symmetric brackets for the hybrid plasma models with kinetic ions and massless electrons. In particular, we establish the precise conditions under which the brackets for the vector-potential-based formulations satisfy the Jacobi identity, and demonstrate that these conditions are fulfilled by all physically relevant functionals. Moreover, for the magnetic-field-based formulation, we show that the corresponding anti-symmetric bracket constitutes a Poisson bracket under the divergence-free condition of the magnetic field, and we provide a direct proof of the Jacobi identity. These results are further extended to models incorporating electron entropy as well as more general hybrid kinetic-fluid models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11160 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Poisson brackets of hybrid plasma models with kinetic ions and massless electrons Li, Yingzhe Morrison, Philip J. Possanner, Stefan Sonnendrücker, Eric Plasma Physics Mathematical Physics We investigate the conditions under which the Jacobi identity holds for a class of recently introduced anti-symmetric brackets for the hybrid plasma models with kinetic ions and massless electrons. In particular, we establish the precise conditions under which the brackets for the vector-potential-based formulations satisfy the Jacobi identity, and demonstrate that these conditions are fulfilled by all physically relevant functionals. Moreover, for the magnetic-field-based formulation, we show that the corresponding anti-symmetric bracket constitutes a Poisson bracket under the divergence-free condition of the magnetic field, and we provide a direct proof of the Jacobi identity. These results are further extended to models incorporating electron entropy as well as more general hybrid kinetic-fluid models. |
| title | On the Poisson brackets of hybrid plasma models with kinetic ions and massless electrons |
| topic | Plasma Physics Mathematical Physics |
| url | https://arxiv.org/abs/2509.11160 |