Hamiltonian structure of the guiding-center Vlasov–Maxwell equations

Hamiltonian structure of the guiding-center Vlasov–Maxwell equations

The Hamiltonian structure of the guiding-center Vlasov–Maxwell equations is presented in terms of a Hamiltonian functional and a guiding-center Vlasov–Maxwell bracket. The bracket, which is shown to satisfy the Jacobi identity exactly, is used to show that the guiding-center momentum and angular-mom...

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Veröffentlicht in:Physics of plasmas 2021-10, Vol.28 (10), p.102303
1. Verfasser: Brizard, Alain J.
Format: Artikel
Sprache:eng
Schlagworte:
Angular momentum
Brackets
Conservation laws
Mathematical analysis
Maxwell's equations
Momentum
Plasma physics
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Zusammenfassung:The Hamiltonian structure of the guiding-center Vlasov–Maxwell equations is presented in terms of a Hamiltonian functional and a guiding-center Vlasov–Maxwell bracket. The bracket, which is shown to satisfy the Jacobi identity exactly, is used to show that the guiding-center momentum and angular-momentum conservation laws can also be expressed in the Hamiltonian form.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0064488