Effect of Toroidal Magnetic Field on Low-Frequency Plasma Instabilities in a Multipole Machine

1968 ◽  
Vol 171 (1) ◽  
pp. 188-193 ◽  
Author(s):  
D. K. Bhadra
2005 ◽  
Vol 12 (4) ◽  
pp. 042109 ◽  
Author(s):  
Edward Thomas ◽  
Ashley Eadon ◽  
Edwynn A. Wallace

2017 ◽  
Vol 95 (7) ◽  
pp. 650-654
Author(s):  
Anisa Qamar ◽  
Javed Iqbal ◽  
U. Zakir ◽  
Arshad M. Mirza

We consider a low frequency plasma comprising of Kappa distributed electrons and Maxwellian ions embedded in an external magnetic field in toroidal ion-temperature-gradient driven modes. A set of nonlinear equations are derived in the presence of equilibrium density, temperature, and magnetic field gradients. In the nonlinear regime, solutions in the form of tripolar vortices are derived by using Braginskii’s transport equations. It has been observed that the scale lengths over which the nonlinear vortex structures form get modified in the presence of Kappa distributed electrons. In tokamak the present study is applicable where non-Maxwellian population has been observed in electron cyclotron heating experiments and resonant frequency heating.


1983 ◽  
Vol 61 (8) ◽  
pp. 1205-1211
Author(s):  
Bhimsen K. Shivamoggi

Modulational instability and formation of envelope solitons of the upper-hybrid waves are considered. A more consistent calculation is given here which also includes the effect of ion inertia. A strong magnetic field can eliminate the existence of subsonic upper-hybrid solitons but can make possible the existence of supersonic upper-hybrid solitons. In order to describe the upper-hybrid solitons travelling at the speed of sound, the ion nonlinearity is included in the calculation with the assumption of charge neutrality in the low frequency plasma response. An exact soliton solution moving at the speed of sound is then exhibited. Finally, a fully nonlinear theory of the formation of envelope solitons of upper-hybrid waves is given. The assumption of charge neutrality in the low frequency plasma response is abandoned. The solution shows a smooth transition from a single-hump soliton as the Mach number increases to unity. Furthermore, the dip at the centre for the double-hump soliton is found to become smaller as the magnetic field becomes stronger.


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