2025/06/27 by Alain J. Brizard, H. Sugama, Brizard, A. J. +1
Mathematics · Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Magnetic confinement fusion research #Plasma Physics (physics.plasm-ph)
paper · doi:10.48550/arxiv.2506.22289
openalex publication_date 2025/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The metriplectic formulation of collisional guiding-center Vlasov-Maxwell-Landau theory is presented. The guiding-center Landau collision operator, which describes collisions involving test-particle and field-particle guiding-center orbits, is represented in terms of a symmetric dissipative bracket involving functional derivatives of the guiding-center Vlasov phase-space density F\rm gc and the electromagnetic fields (\bf D\rm gc,\bf B), where the guiding-center displacement vector \bf D\rm gc ≡ \bf E + 4π \sf P\rm gc is expressed in terms of the electric field \bf E and the guiding-center polarization \sf P\rm gc. This dissipative Landau bracket conserves guiding-center energy-momentum and angular momentum, as well as satisfying a guiding-center H-theorem.