Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/030600333 | MULTISCALE MODELING & SIMULATION |
Keywords | Field | DocType |
expanding plasma,Euler-Poisson model,quasi-neutral limit,Child-Langmuir law,travelling-wave analysis,Bohm sheath criterion | Poisson's equation,Mathematical analysis,Atomic physics,Anode,Mechanics,Beam (structure),Plasma,Cathode,Asymptotic analysis,Ion,Electron,Physics | Journal |
Volume | Issue | ISSN |
2 | 1 | 1540-3459 |
Citations | PageRank | References |
6 | 1.44 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Degond | 1 | 251 | 43.75 |
| C. Parzani | 2 | 7 | 2.26 |
| Marie-Hélène Vignal | 3 | 68 | 11.75 |