Bridging kinetic plasma descriptions and single fluid models

Anais Crestetto (1) , Fabrice Deluzet (2) , David Doyen (3)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 LAMA - Laboratoire Analyse et de Mathématiques Appliquées

The purpose of this paper is to bridge kinetic plasma descriptions and low frequency single fluid models. More specifically, the asymptotics leading to Magneto-Hydro-Dynamic (MHD) regimes starting from the Vlasov-Maxwell system are investigated. The analogy with the derivation, from the Vlasov-Poisson system, of a fluid representation for the ions coupled to the Boltzmann relation for electrons is also outlined. The aim is to identify asymptotic parameters explaining the transitions from one microscopic description to a macroscopic low frequency model. These investigations provide ground work for the derivation of multi-scale numerical methods, model coupling or physics based preconditioning.

Mots clés: Plasma; Debye length; MHD; drift limit; fluid limit; Quasi- neutrality; Vlasov-Maxwell; Asymptotic-Preserving scheme

Domaines: Physique des plasmas [physics.plasm-ph]; Physique mathématique [math-ph]

Anais Crestetto, Fabrice Deluzet, David Doyen. Bridging kinetic plasma descriptions and single fluid models. Journal of Plasma Physics, In press. ⟨hal-02931878⟩