Generalized dispersion relation for electron Bernstein waves in a non-Maxwellian magnetized anisotropic plasma

2010 ◽  
Vol 17 (10) ◽  
pp. 102114 ◽  
Author(s):  
F. Deeba ◽  
Zahoor Ahmad ◽  
G. Murtaza
Keyword(s):  
Dispersion Relation ◽  
Anisotropic Plasma ◽  
Bernstein Waves

Oblique whistler-mode propagation in a hot anisotropic plasma

1982 ◽  
Vol 27 (2) ◽  
pp. 199-204 ◽  
Author(s):  
S. S. Sazhin ◽  
E. M. Sazhina
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
Plasma Temperature ◽  
Anisotropic Plasma ◽  
Mode Propagation ◽  
Whistler Mode ◽  
Energy Focusing ◽  
Wave Normal ◽  
The Magnetic Field ◽  
Normal Angle

An approximate dispersion relation is obtained for quasi-longitudinal whistler mode propagation in the hot anisotropic plasma. The influence of plasma temperature and anisotropy on whistler energy focusing along the magnetic field and whistler trapping in the magnetospheric ducts are considered for the case when the whistler wave normal angle is not equal to zero.

The anisotropic plasma fluid stress tensor and its dispersion relation

1986 ◽  
Vol 29 (9) ◽  
pp. 2914-2918
Author(s):  
E. A. Evangelidis ◽  
J. D. Neethling
Keyword(s):  
Dispersion Relation ◽  
Stress Tensor ◽  
Anisotropic Plasma

Effect of longitudinal electric fields on electrostatic electron cyclotron waves

1983 ◽  
Vol 29 (1) ◽  
pp. 35-40 ◽  
Author(s):  
Armando L. Brinca ◽  
Kristian B. Dysthe
Keyword(s):  
Dispersion Relation ◽  
Iterative Method ◽  
Electric Fields ◽  
Homogeneous Medium ◽  
Modified Dispersion Relation ◽  
Poisson Equations ◽  
Adopted Model ◽  
Bernstein Waves ◽  
Locally Homogeneous ◽  
Electron Cyclotron Waves

We study the influence of static parallel electric fields on the characteristics of obliquely propagating electron Bernstein waves. Analysis of the equilibrium state defines the range of validity of the adopted model, viz. a collisionless, locally homogeneous medium described by the Vlasov and Poisson equations. An iterative method yields the modified dispersion relation whose numerical solution, for an idealized medium, suggests the relevance of the effects induced by static parallel electric fields in natural plasmas.

scholarly journals Electron Bernstein waves in a collisionless magnetoplasma with Cairns distribution function

2018 ◽  
Vol 96 (4) ◽  
pp. 406-410
Author(s):  
M. Usman Malik ◽  
W. Masood ◽  
Aman-ur Rehman ◽  
Arshad M. Mirza ◽  
Anisa Qamar
Keyword(s):  
Dielectric Constant ◽  
Distribution Function ◽  
Dispersion Relation ◽  
Dispersion Curves ◽  
Magnetized Plasma ◽  
Modified Dispersion Relation ◽  
Bernstein Waves

In this paper, we have investigated the electrostatic electron Bernstein waves in a collisionless magnetized plasma using the Cairns distribution function. In this regard, we have derived a generalized dielectric constant for the Bernstein waves and derived the modified dispersion relation in the presence of Cairns distribution function. We have found that the dispersion curves for the electron Bernstein waves using the Cairns distribution function show a very significant deviation from the Maxwellian results. It has been found that the behavior of the Bernstein waves across the entire band between the adjacent harmonics shows a departure from the Maxwellian result for the different values of the non-thermality parameter for the Cairns distribution function.

Effect of Hall current on the instability of an anisotropic plasma jet

1974 ◽  
Vol 12 (1) ◽  
pp. 33-43 ◽  
Author(s):  
K. M. Srivastava
Keyword(s):  
Dispersion Relation ◽  
Plasma Density ◽  
Hall Current ◽  
Surrounding Medium ◽  
Plasma Jet ◽  
Cylindrical Geometry ◽  
Anisotropic Plasma ◽  
Wave Numbers ◽  
Critical Wavenumber

The modified Chew—Goldberger—Low (CGL) equations are applied to the effect of Hall current on the instability of an incompressible plasma jet surrounded by non-conducting, compressible matter. The dispersion relation is obtained and discussed. The following is found. (i) When λ (the ratio of plasma density to the density of surrounding medium) is much greater than unity, the plasma jet is unstable for all wavenumbers for which k* = Küα < [(4R22 – 1)ü(1 + V2α)], where R2 = p∥/p⊥, V2α = H2/4αρ, K = (l2 + α2)½. Also, the jet is unstable for R2 > 1 + V2α. (ii) When λ ≪ 1, the critical wavenumber ratio for the instability to set in is k* < [(V2α + 3R2)ü(1 + V2α)½. Also, the jet becomes unstable for R2 < ⅓. (iii) When either l = 0 or α= 0, we must have R2 > 1 + V2α for instability. It is established that the Hall current has a destabilizing effect for certain wave- numbers. The dispersion relation for the incompressible plasma jet in cylindrical geometry is solved numerically on a computer.

Quasi-linear approach to the propagation of Bernstein waves in an inhomogeneous plasma

1980 ◽  
Vol 23 (2) ◽  
pp. 209-222 ◽  
Author(s):  
A. Airoldi Crescentini ◽  
A. Orefice
Keyword(s):  
Dispersion Relation ◽  
Inhomogeneous Plasma ◽  
Linear Equations ◽  
Extraordinary Wave ◽  
Velocity Space ◽  
Coulomb Collisions ◽  
Linear Conversion ◽  
Linear Approach ◽  
Bernstein Waves ◽  
Plasma Slab

The quasi-linear equations describing the resonant evolution of a weakly inhomogeneous plasma slab under the action of Bernstein modes resulting from linear conversion of an externally injected extraordinary wave are obtained, together with a tractable form of the pertinent dispersion relation. The coefficients of electron diffusion in velocity space are computed, and their effect is compared to the effect of Coulomb collisions.

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