Lower-hybrid instability in current-carrying plasmas

1982 ◽  
Vol 28 (3) ◽  
pp. 527-537 ◽  
Author(s):  
Joseph E. Willett ◽  
Hassan Mehdian
Keyword(s):  
Phase Velocity ◽  
Drift Velocity ◽  
Numerical Study ◽  
Electron Drift Velocity ◽  
Lower Hybrid ◽  
Electron Drift ◽  
Plasma Parameters ◽  
The Stability ◽  
Hybrid Waves ◽  
Lower Hybrid Waves

The stability of lower-hybrid waves in a collisional, fully ionized plasma carrying a field-aligned current is investigated. From the two-fluid equations in the cold-plasma approximation, a generalized dispersion relation and formulae for the real frequency ωI and growth rate ωR are derived. The results of a numerical study are presented showing the dependence of ωR and ωI on the angle between the direction of propagation and the magnetic field, the ratio of the electron drift velocity to the parallel phase velocity, and other plasma parameters. Lower-hybrid instability with electron drift velocity small compared with the parallel phase velocity is predicted.

Instability of lower-hybrid waves in collisional plasmas with a field-aligned current

1980 ◽  
Vol 23 (2) ◽  
pp. 249-257 ◽  
Author(s):  
Kai Fong Lee
Keyword(s):  
Drift Velocity ◽  
Electron Drift Velocity ◽  
Necessary Condition ◽  
Lower Hybrid ◽  
Electron Drift ◽  
Electrostatic Waves ◽  
Hybrid Frequency ◽  
Background Magnetic Field ◽  
Field Aligned Current ◽  
Hybrid Waves

A study is presented for electrostatic waves propagating at large angles with respect to the background magnetic field in collisional, fully ionized plasmas carrying a field-aligned current. In addition to a mode at the usual lower-hybrid frequency, it is found that the presence of electron drift velocity introduces two more modes of oscillation at several times the lower-hybrid frequency. Under appropriate conditions, a resistive instabifity, with frequency very close to the lower-hybrid frequency and growth rate proportional to the electron–ion collisional frequency, can occur. A necessary condition is that the parallel phase velocity of the wave be smaller than the electron drift velocity. A numerical example is given to illustrate the essential features of the instability.

Current drive with fast phase velocity lower-hybrid waves

1986 ◽  
Vol 29 (3) ◽  
pp. 599 ◽  
Author(s):  
Viktor K. Decyk ◽  
Hirotada Abe
Keyword(s):  
Phase Velocity ◽  
Current Drive ◽  
Lower Hybrid ◽  
Fast Phase ◽  
Hybrid Waves ◽  
Lower Hybrid Waves

scholarly journals Properties of lower hybrid waves

2008 ◽  
Vol 4 (S257) ◽  
pp. 569-573 ◽  
Author(s):  
Alix L. Verdon ◽  
I. H. Cairns ◽  
D. B. Melrose ◽  
P. A. Robinson
Keyword(s):  
Dispersion Relation ◽  
Dispersion Curves ◽  
Numerical Dispersion ◽  
Lower Hybrid ◽  
Plasma Parameters ◽  
Plasma Effects ◽  
Warm Plasma ◽  
Hybrid Waves ◽  
Lower Hybrid Waves ◽  
Good Agreement

AbstractMost treatments of lower hybrid waves include either electromagnetic or warm-plasma effects, but not both. Here we compare numerical dispersion curves for lower hybrid waves with a new analytic dispersion relation that includes both warm and electromagnetic effects. Very good agreement is obtained over significant ranges in wavenumber and plasma parameters, except where ion magnetization effects become important.

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