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.
arXiv comment6 pages. arXiv admin note: text overlap with arXiv:2107.08129
References in corpus (13)
- Structure and structure-preserving algorithms for plasma physics
- A general theory for gauge-free lifting
- Finite-dimensional collisionless kinetic theory
- Lagrangian and Hamiltonian constraints for guiding-center Hamiltonian theories
- Variational approach to low-frequency kinetic-MHD in the current coupling scheme
- Variational principles for the guiding-center Vlasov-Maxwell equations
- Gauge-free electromagnetic gyrokinetic theory
- Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method
- Chasing Hamiltonian structure in gyrokinetic theory
- Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
- Hamiltonian formulations for perturbed dissipationless plasma equations
- Hamiltonian structure of the gauge-free gyrokinetic Vlasov-Maxwell equations
- Proof of the Jacobi Property for the guiding-center Vlasov-Maxwell Bracket