Plasma Expansion in Vacuum: Modeling the Breakdown of Quasi Neutrality
We consider a system consisting of a vacuum gap delimited by two electrodes. A quasi-neutral plasma (ions and electrons) is injected from the cathode and expands. Electrons are emitted from the plasma-vacuum interface to the anode forming a beam. In this paper, from a two-fluid isentropic system cou...
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| Veröffentlicht in: | Multiscale modeling & simulation 2003-01, Vol.2 (1), p.158-178 |
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| creator | Degond, Pierre Parzani, Céline Vignal, Marie-Hélène |
| description | We consider a system consisting of a vacuum gap delimited by two electrodes. A quasi-neutral plasma (ions and electrons) is injected from the cathode and expands. Electrons are emitted from the plasma-vacuum interface to the anode forming a beam. In this paper, from a two-fluid isentropic system coupled with the Poisson equation, we perform a formal asymptotic analysis. This leads to a quasi-neutral model for the plasma region and a Child--Langmuir model for the beam region. The main point of the analysis is the connection between these two models. This is done by studying a transmission layer problem. Finally, we numerically show the accuracy of the asymptotic model, comparing it to the original two-fluid model. |
| doi_str_mv | 10.1137/030600333 |
| format | Article |
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| source | SIAM Journals Online |
| subjects | Applied mathematics Electrodes Neutrality Plasma Simulation |
| title | Plasma Expansion in Vacuum: Modeling the Breakdown of Quasi Neutrality |
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