2023/06/07 by Alain J. Brizard, Brizard, Alain J.
Engineering · Physics and Astronomy · #FOS: Physical sciences #Magnetic confinement fusion research #Particle accelerators and beam dynamics #Plasma Physics (physics.plasm-ph) #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.2306.04726
openalex publication_date 2023/06/07 · openalex created_date 2023/06/10 · openalex updated_date 2026/07/28
Extended guiding-center Vlasov-Maxwell equations are derived under the assumption of time-dependent and inhomogeneous electric and magnetic fields that obey the standard guiding-center space-time-scale orderings. The guiding-center Vlasov-Maxwell equations are derived to second order, which contain dipole and quadrupole contributions to the guiding-center polarization and magnetization that include finite-Larmor-radius corrections. Exact energy-momentum conservation laws are derived from the variational formulation of these higher-order guiding-center Vlasov-Maxwell equations.