A hierarchy of diffusion models for partially ionized plasmas.

Isabelle Choquet (1) , Pierre Degond (2) , Brigitte Lucquin-Desreux (3)

1 DTMCS - Department of Technology. Mathematics and Computer Science
2 MIP - Mathématiques pour l'Industrie et la Physique
3 LJLL - Laboratoire Jacques-Louis Lions

Partially ionized plasmas corresponding to different ionization degrees are derived and connected one with each other by the diffusion approximation methodology. These plasmas are the following electrical discharges: a thermal arc discharge, glow discharges in local thermodynamic equilibrium -LTE- and in non-LTE, and a non-LTE glow discharge interacting with an electron beam (or flow).

Mots clés: Arc discharge; glow discharge; electron flow; gas mixture; disparate masses; impactionization; inelastic collisions; diffusion approximation; fluid limit; Hilbert expansion; Saha plasma

Domaines: Analyse numérique [math.NA]

Isabelle Choquet, Pierre Degond, Brigitte Lucquin-Desreux. A hierarchy of diffusion models for partially ionized plasmas.. 2007. ⟨hal-00139173⟩