Department of Mathematics and Statistics
Arizona State University
Thursday,
April 3, 2003, 12:15 p.m. in GWC 604
On a Model of Plasma Expansion in Vacuum
Abstract
We consider a system consisting of a vacuum gap
separated by two electrodes. A plasma is injected at the
cathode and expands. From the sharp plasma boundary, electrons
are accelerated towards the anode, forming an electron beam.
In this talk, from a two-fluid isentropic Euler
system for each species of particles coupled with the Poisson
equation, we perform an asymptotic analysis, yielding a
quasineutral model for the plasma region and a Child-Langmuir
law for the beam region. These two models are connected
through a transmission layer problem.
Finally, a numerical validation of this asymptotic
model against the original two-fluid model is given.
This is joint work with C. Parzani and M.H. Vignal.
For further information please contact:
mittelmann@asu.edu