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  • 1.
    Choquet, Isabelle
    et al.
    University West, Department of Technology, Mathematics and Computer Science.
    Lucquin-Desreuw, B
    Hydrodynamic limit for an arc discharge at atmospheric pressure2005In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 119, no 1-2, p. 197-239Article in journal (Refereed)
    Abstract [en]

    In this paper we study a partially ionized plasma that corresponds to an arc discharge at atmospheric pressure. We derive an inviscid hydrodynamic/diffusion limit, characterized by two temperatures, from a system of Boltzmann type transport equations modelling that plasma problem. The original property of this system is that impact ionization is a leading order collisional process. As a consequence, the density of electrons is given in terms of the density of the other species (and its temperature) via a Saha law.

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