Analytical study of whistler mode waves in presence of parallel DC electric field for relativistic plasma in the magnetosphere of Uranus

2016 ◽  
Vol 58 (7) ◽  
pp. 1417-1424 ◽  
Author(s):  
R.S. Pandey ◽  
Rajbir Kaur
Keyword(s):  
Electric Field ◽  
Analytical Study ◽  
Relativistic Plasma ◽  
Whistler Mode ◽  
Whistler Mode Waves ◽  
Dc Electric Field

Unified theory of whistler mode instability in the presence of a parallel electric field

1984 ◽  
Vol 31 (2) ◽  
pp. 263-274
Author(s):  
Indra Mohan Lal Das ◽  
R. P. Singh
Keyword(s):  
Electric Field ◽  
Full Range ◽  
Present Theory ◽  
Parallel Electric Field ◽  
Temperature Anisotropy ◽  
Whistler Mode ◽  
Plasma Injection ◽  
Whistler Mode Waves ◽  
Particle Pressure ◽  
Analytical Expressions

The propagation characteristics of right-hand circularly polarized whistler mode waves propagating parallel to the external magnetic field in an anisotropic plasma have been reformulated including the effect of a parallel electric field. Analytical expressions for the real frequency and growth rate have been obtained for the full range of the parameters β (the ratio of particle pressure to magnetic pressure of the hot particles), A (temperature anisotropy) and P ( = βA(A + 1)2) without any restriction on the magnitude of the imaginary part of the wave frequency. The effect of cold plasma injection on the marginal instability has also been studied. Possible application of the present theory to the atmospheres of Earth and Jupiter has been discussed.

Relativistic generalization of whistler mode modulational instability

1981 ◽  
Vol 59 (10) ◽  
pp. 1376-1379
Author(s):  
R. Prasad ◽  
G. P. Gupta ◽  
R. N. Singh
Keyword(s):  
Growth Rate ◽  
Wave Equation ◽  
Frequency Spectrum ◽  
Modulational Instability ◽  
Relativistic Plasma ◽  
Relativistic Generalization ◽  
Whistler Mode ◽  
Nonlinear Schrödinger ◽  
Whistler Mode Waves ◽  
Relativistic Particles

The modulational instability of whistler mode waves interacting with relativistic plasma has been studied. The application of the Karpman and Krushkal criterion to the nonlinear Schrödinger wave equation gives the spectrum of modulationally unstable whistler mode waves. The effect of relativistic particles on the growth rate and frequency spectrum of modulationally unstable whistler mode waves has been discussed.

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