Abstract
In this paper, we propose a model describing the expansion of a plasma in vacuum. Our starting point consists in a two-fluids Euler system coupled with the Poisson equation. Since numerical simulations of this model are very expensive, we investigate a quasi-neutral limit of it. We show that electron emission occurs at the plasma-vacuum interface. This emission is well modelled by a Child—Langmuir law. The difficulty consists in accounting for the motion of the plasma-vacuum interface. In this paper, we formally and numerically justify why electron emission produces a reaction pressure which slows the plasma expansion down.
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Degond, P., Parzani, C., Vignal, MH. (2003). On Plasma Expansion in Vacuum. In: Colli, P., Verdi, C., Visintin, A. (eds) Free Boundary Problems. ISNM International Series of Numerical Mathematics, vol 147. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7893-7_8
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DOI: https://doi.org/10.1007/978-3-0348-7893-7_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9613-9
Online ISBN: 978-3-0348-7893-7
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