2024/06/09 by Alain J. Brizard, Brizard, Alain J. · 1 citation
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Magnetic confinement fusion research #Plasma Physics (physics.plasm-ph) #Vacuum and Plasma Arcs
paper · pdf · doi:10.48550/arxiv.2406.05932
openalex publication_date 2024/06/09 · openalex created_date 2024/06/12 · openalex updated_date 2026/07/28
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.