Work

Metriplectic bracket for guiding-center Vlasov–Maxwell–Landau theory

Year: 2025

Type: article

Abstract: 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 Fgc and the electromagnetic fields (Dgc,B), where the guiding-center displacement vector Dgc≡E+4π Pgc is expressed in terms of the electric field E and the guiding-center polarization Pgc. This dissipative Landau bracket not only conserves guiding-center energy–momentum and angular momentum, but it also satisfies a guiding-center H-theorem.

Source: Physics of Plasmas

DOI: 10.1063/5.0287907

Authors: A. J. Brizard, H. Sugama

Institutions: Saint Michael's College, National Institute for Fusion Science, The University of Tokyo

Language: English

Topic: Magnetic confinement fusion research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Japan Society for the Promotion of Science

Awards: 高精度プラズマ運動論モデルの構築とエネルギー・運動量・エントロピーバランスの解析, Hamiltonian and Dissipative Structures for Reduced Plasma Kinetic Models