Hamiltonian Structure of the Guiding-center Vlasov-Maxwell Equations with Polarization and Magnetization
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909333445410816 |
|---|---|
| author | Brizard, Alain J. |
| author_facet | Brizard, Alain J. |
| contents | The Hamiltonian formulation of guiding-center Vlasov-Maxwell equations, which contain dipole contributions to the guiding-center polarization and magnetization, is presented in terms of a guiding-center Hamiltonian functional that is derived from the exact guiding-center Vlasov-Maxwell energy conservation law, and an antisymmetric functional bracket that satisfies the Jacobi property. Exact energy-momentum and angular momentum conservation laws are expressed in Hamiltonian form and the guiding-center Vlasov-Maxwell entropy functional is shown to be a Casimir functional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Structure of the Guiding-center Vlasov-Maxwell Equations with Polarization and Magnetization Brizard, Alain J. Plasma Physics The Hamiltonian formulation of guiding-center Vlasov-Maxwell equations, which contain dipole contributions to the guiding-center polarization and magnetization, is presented in terms of a guiding-center Hamiltonian functional that is derived from the exact guiding-center Vlasov-Maxwell energy conservation law, and an antisymmetric functional bracket that satisfies the Jacobi property. Exact energy-momentum and angular momentum conservation laws are expressed in Hamiltonian form and the guiding-center Vlasov-Maxwell entropy functional is shown to be a Casimir functional. |
| title | Hamiltonian Structure of the Guiding-center Vlasov-Maxwell Equations with Polarization and Magnetization |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2406.05932 |