Resistive instability in a Hall plasma discharge under ionization effect

A systematic study is presented for low frequency resistive instability in a Hall plasma discharge under the effect of collisions, ionization, and finite temperature of ions and electrons by considering finite axial wave number. For this, a two dimensional dispersion equation is derived and solved n...

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Bibliographic Details
Published in:Physics of plasmas 2013-05, Vol.20 (5)
Main Authors: Malik, Hitendra K., Singh, Sukhmander
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Constraining
Discharge
DISPERSION RELATIONS
ELECTRIC DISCHARGES
ELECTRON TEMPERATURE
ELECTRON-ION COLLISIONS
ELECTRONS
Instability
ION TEMPERATURE
IONIZATION
MAGNETOHYDRODYNAMICS
Mathematical analysis
NUMERICAL ANALYSIS
PLASMA
Plasma (physics)
PLASMA INSTABILITY
Stability
TWO-DIMENSIONAL CALCULATIONS
Wavelengths
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Summary:A systematic study is presented for low frequency resistive instability in a Hall plasma discharge under the effect of collisions, ionization, and finite temperature of ions and electrons by considering finite axial wave number. For this, a two dimensional dispersion equation is derived and solved numerically. Analytical calculations are also performed for obtaining the expression of growth rate and to discuss the limiting cases of equal axial (kx) and azimuthal (ky) wave numbers. The instability with higher growth rate is realized in the presence of ionization; the same is the case for equal wave numbers (kx=ky). However, the instability is suppressed when the ions and electrons carry higher temperatures, and weak effect of the electron temperature is observed for the case kx=ky.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4804346