Non equilibrium ionization in magnetized two-temperature thermal plasma

Isabelle Choquet; Brigitte Lucquin-Desreux

doi:10.3934/krm.2011.4.669

Article Contents

2011, Volume 4, Issue 3: 669-700. Doi: 10.3934/krm.2011.4.669

This issue Previous Article A simple particle model for a system of coupled equations with absorbing collision term Next Article Fast diffusion equations: Matching large time asymptotics by relative entropy methods

Non equilibrium ionization in magnetized two-temperature thermal plasma

Isabelle Choquet^1, and
Brigitte Lucquin-Desreux^2,

1.
Department of Engineering Science, University West Gustava Melins gata 2, 461 39 Trollhättan
2.
Laboratoire Jacques-Louis Lions, CNRS UMR 7598, Université Pierre et Marie Curie B.C. 187, 4 Place Jussieu 75252 Paris Cedex 05

Received: September 30, 2010

Revised: January 31, 2011

Published: August 2011

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Abstract

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 [4]-[6]. A viscous hydrodynamic/diffusion limit is derived in two stages doing 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.

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Mathematics Subject Classification: 41A60, 76P05, 76X05, 82B40, 82C05, 82C70, 82D10.

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