Metriplectic bracket for guiding-center Vlasov-Maxwell-Landau theory
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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_ | 1866909756618178560 |
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| author | Brizard, A. J. Sugama, H. |
| author_facet | Brizard, A. J. Sugama, H. |
| contents | The metriplectic formulation of collisional guiding-center Vlasov-Maxwell-Landau theory is presented. The guiding-center Landau collision operator, which describes collisions involving test-particle and field-particle guiding-center orbits, is represented in terms of a symmetric dissipative bracket involving functional derivatives of the guiding-center Vlasov phase-space density $F_{\rm gc}$ and the electromagnetic fields $({\bf D}_{\rm gc},{\bf B})$, where the guiding-center displacement vector ${\bf D}_{\rm gc} \equiv {\bf E} + 4π\,{\sf P}_{\rm gc}$ is expressed in terms of the electric field ${\bf E}$ and the guiding-center polarization ${\sf P}_{\rm gc}$. This dissipative Landau bracket conserves guiding-center energy-momentum and angular momentum, as well as satisfying a guiding-center H-theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Metriplectic bracket for guiding-center Vlasov-Maxwell-Landau theory Brizard, A. J. Sugama, H. Plasma Physics The metriplectic formulation of collisional guiding-center Vlasov-Maxwell-Landau theory is presented. The guiding-center Landau collision operator, which describes collisions involving test-particle and field-particle guiding-center orbits, is represented in terms of a symmetric dissipative bracket involving functional derivatives of the guiding-center Vlasov phase-space density $F_{\rm gc}$ and the electromagnetic fields $({\bf D}_{\rm gc},{\bf B})$, where the guiding-center displacement vector ${\bf D}_{\rm gc} \equiv {\bf E} + 4π\,{\sf P}_{\rm gc}$ is expressed in terms of the electric field ${\bf E}$ and the guiding-center polarization ${\sf P}_{\rm gc}$. This dissipative Landau bracket conserves guiding-center energy-momentum and angular momentum, as well as satisfying a guiding-center H-theorem. |
| title | Metriplectic bracket for guiding-center Vlasov-Maxwell-Landau theory |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2506.22289 |