On the non-linear electron-cyclotron drift instability

1972 ◽  
Vol 12 (4) ◽  
pp. 485-487 ◽  
Author(s):  
D. Biskamp ◽  
R. Chodura
Keyword(s):  
Electron Cyclotron ◽  
Linear Electron ◽  
Non Linear ◽  
Drift Instability

Non-linear transverse waves in a Vlasov plasma

1969 ◽  
Vol 3 (4) ◽  
pp. 577-592 ◽  
Author(s):  
S. Peter Gary
Keyword(s):  
Perturbation Expansion ◽  
Second Order ◽  
Electron Cyclotron ◽  
Wave Number ◽  
Linear Dispersion ◽  
Transverse Waves ◽  
Non Linear ◽  
Long Time ◽  
Linear Damping ◽  
Electron Cyclotron Waves

Non-linear transverse waves in a classical non-relativistic collisionless, Maxwellian electron gas with external magnetic field B0 are considered. There is assumed a small, sinusoidal variation in the initial electric and magnetic fields, corresponding to excitation of a discrete wave-number mode. The non-linear Vlasov equation is solved to second order in the long time limit via the Montgomery—Gorman perturbation expansion, and the time-independent, spatially homogeneous part of the second-order distribution function is used to modify the linear dispersion relation. For frequencies near the electron cyclotron frequency a non-linear damping decrement results such that, for many values of the parameters, the damping is less than the linear rate. Thus at sufficiently long times, the rate of damping of transverse electron cyclotron waves should decrease, a result similar to that for non-linear damping of longitudinal electron plasma waves.

Nonlinear Electron-Cyclotron Drift Instability and Turbulence

1971 ◽  
Vol 27 (21) ◽  
pp. 1424-1428 ◽  
Author(s):  
D. W. Forslund ◽  
R. L. Morse ◽  
C. W. Nielson
Keyword(s):  
Electron Cyclotron ◽  
Drift Instability
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