Stability of the Positive Column in a Time‐Dependent Magnetic Field
作者:
Roy R. Johnson,
David A. Jerde,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1964)
卷期:
Volume 7,
issue 1
页码: 103-109
ISSN:0031-9171
年代: 1964
DOI:10.1063/1.1711028
出版商: AIP
数据来源: AIP
摘要:
The stability of a weakly ionized plasma column in a longitudinal magnetic field containing a small time varying component is investigated, using a macroscopic approach previously developed by the authors for a static field. The time dependence of the field is taken to be linear, and its influence on the column given by the presence of the induced azimuthal electric field. A dispersion relation is derived from the linearized equations of continuity and momentum conservation for the ions and electrons, from which a family of stability boundary curves in theEzvsBplane are found for the case of a helical perturbation in helium. The condition of energy balance of the column including the azimuthal electric field is combined with the dispersion relation to yield a family of stability boundary curves in theE&thgr;vsBplane with gas pressure times column radius as a parameter. These curves indicate regions of stability which are absent in the case of a static magnetic field.
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