Hamiltonian structure of the guiding-center Vlasov-Maxwell equations
arXiv:2107.11257 · doi:10.1063/5.0064488
Abstract
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 Hamiltonian form.
6 pages. arXiv admin note: text overlap with arXiv:2107.08129
References in corpus (6)
- A general theory for gauge-free lifting
- Variational approach to low-frequency kinetic-MHD in the current coupling scheme
- Gauge-free electromagnetic gyrokinetic theory
- Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
- Hamiltonian structure of the gauge-free gyrokinetic Vlasov-Maxwell equations
- Proof of the Jacobi Property for the guiding-center Vlasov-Maxwell Bracket