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Hamiltonian structure of the guiding-center Vlasov-Maxwell equations

Plasma Physics 2021-10-27 v2

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.

Keywords

Cite

@article{arxiv.2107.11257,
  title  = {Hamiltonian structure of the guiding-center Vlasov-Maxwell equations},
  author = {Alain J. Brizard},
  journal= {arXiv preprint arXiv:2107.11257},
  year   = {2021}
}

Comments

6 pages. arXiv admin note: text overlap with arXiv:2107.08129