Accession Number : ADA112015

Title :   Perturbed Bifurcation of Stationary Striations in a Contaminated, Non-Uniform Plasma.

Descriptive Note : Technical rept.,

Corporate Author : NORTHWESTERN UNIV EVANSTON IL DEPT OF ENGINEERING SCIENCE AND APPLIED MATHEMATICS

Personal Author(s) : Magnan,J F ; Goldstein,R A

PDF Url : ADA112015

Report Date : Nov 1980

Pagination or Media Count : 34

Abstract : A cylindrical, weakly ionized, and collision dominated neon plasma described by a system of nonlinear, parabolic reaction-diffusion equations for the electron and metastable atom axial densities exhibits a bifurcation from a uniform to a striated state at a critical length of the plasma column. The sharp transition between states predicted by the theory is in contrast with the smooth transition observed in experiments. We apply the theory of singular perturbations of bifurcations to show that small inhomogeneities in the plasma, such as those caused by non-uniform heating and contamination, are sufficient to qualitatively explain the experimental results. We observe that a steady, axial magnetic field in the plasma can also produce a smooth transition. (Author)

Descriptors :   *Plasmas(Physics), *Perturbations, Ion density, Electron density, Striations, Contamination, Transitions, Heterogeneity, Heating, Ionization, Radiofrequency power, Electromagnetic wave reflections, Nonlinear differential equations, Diffusion, Impurities, Collisions, Comparison, Magnetic fields, Axisymmetric, Laboratory tests

Subject Categories : Numerical Mathematics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE