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Non equilibrium ionization in magnetized two-temperature thermal plasma
University West, Department of Engineering Science. (Welding)ORCID iD: 0000-0003-2535-8132
University Pierre and Marie Curie, Paris, France. (Laboratoire Jacques-Louis Lions, CNRS UMR 7598)
2011 (English)In: Kinetic and Related Models, ISSN 1937-5093, ISSN 1, Vol. 4, no 3, 669-700 p.Article in journal (Refereed) Published
Abstract [en]

A thermal plasma is studied accounting for both impact ionization, and an electromagnetic field. This plasma problem is modeled based on a system of Boltzmann type transport equations. Electron-neutral collisions are assumed to be much more frequently elastic than inelastic, to complete previous investigations of thermal plasma . A viscous hydrodynamic/diffusion limit is derived in two stagesdoing an Hilbert expansion and using the  Chapman-Enskog method. The resultant viscous fluid model is characterized by two temperatures, and non equilibrium ionization. Its diffusion coefficients depend on the magnetic field, and can be computed explicitely.

Place, publisher, year, edition, pages
2011. Vol. 4, no 3, 669-700 p.
Keyword [en]
gas mixture, disparate masses, impact ionization, inelastic collisions, diffusion approximation, fluid limit, Hilbert expansion, Chapman-Enskog theory, partial thermal equilibrium, non-equilibrium ionization
National Category
Computational Mathematics Fluid Mechanics and Acoustics Other Engineering and Technologies
Research subject
ENGINEERING, Manufacturing and materials engineering; Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-3084DOI: 10.3934/krm.2011.4.669OAI: oai:DiVA.org:hv-3084DiVA: diva2:392193
Available from: 2011-01-26 Created: 2011-01-26 Last updated: 2014-12-30Bibliographically approved

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