2025/02/06 by Valentín Carlier, Carlier, Valentin, Martin Campos Pinto +1
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · #80-10 49S05 #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Magnetic Properties of Alloys #Mathematical Physics (math-ph) #Plasma Physics (physics.plasm-ph) #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.2502.06840
openalex publication_date 2025/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptions leading to HMHD at the lagrangian level, and then we add the viscous and resistive terms by the means of constrained variations. We also provide a metriplectic reformulation of our formulation, based on two canonical Lie-Poisson brackets for the ideal part and metric 4-brackets for the dissipative part.