Hamiltonian structure of the guiding-center Vlasov–Maxwell equations with polarization and magnetization

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 conser...

Full description

Saved in:
Bibliographic Details
Published in:Physics of plasmas 2024-10, Vol.31 (10)
Main Author: Brizard, Alain J.
Format: Article
Language:English
Subjects:
Angular momentum
Dipoles
Energy conservation law
Hamiltonian functions
Magnetic properties
Magnetization
Maxwell's equations
Polarization
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 the Hamiltonian form, and the guiding-center Vlasov–Maxwell entropy functional is shown to be a Casimir functional.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0222953