The dielectric tensor of simple-pole distribution functions in magnetized plasmas

2002 ◽  
Vol 9 (5) ◽  
pp. 1775-1784 ◽  
Author(s):  
Anders Tjulin ◽  
Mats André
Keyword(s):  
Distribution Functions ◽  
Simple Pole ◽  
Dielectric Tensor ◽  
Magnetized Plasmas

scholarly journals Flexible simple-pole expansion of distribution functions

1997 ◽  
Vol 4 (10) ◽  
pp. 3469-3476 ◽  
Author(s):  
T. Löfgren ◽  
H. Gunell
Keyword(s):  
Distribution Functions ◽  
Simple Pole

Loss-cone index in distribution function in a hot magnetized plasma

2007 ◽  
Vol 73 (2) ◽  
pp. 207-214 ◽  
Author(s):  
R. P. SINGHAL ◽  
A. K. TRIPATHI
Keyword(s):  
Distribution Function ◽  
Growth Rates ◽  
Particle Distribution ◽  
Distribution Functions ◽  
Magnetized Plasma ◽  
Dielectric Tensor ◽  
Loss Cone ◽  
Bernstein Waves ◽  
Cone Index

Abstract.The components of the dielectric tensor for the distribution function given by Leubner and Schupfer have been obtained. The effect of the loss-cone index appearing in the particle distribution function in a hot magnetized plasma has been studied. A case study has been performed to calculate temporal growth rates of Bernstein waves using the distribution function given by Summers and Thorne and Leubner and Schupfer. The effect of the loss-cone index on growth rates is found to be quite different for the two distribution functions.

Natural fluctuations in un-magnetized and magnetized plasmas

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
P. Tolias ◽  
S. Ratynskaia ◽  
A. Panarese ◽  
S. Longo ◽  
U. de Angelis
Keyword(s):  
Equations Of Motion ◽  
Distribution Functions ◽  
Magnetized Plasmas ◽  
Coulomb Interactions ◽  
Promising Alternative ◽  
Theoretical Approaches ◽  
Analysis Technique ◽  
Alternative Approach ◽  
Average Distribution ◽  
Open Issues

There are still open issues within the fluctuation theory of plasmas, in view of the difficulty of formulating adequate theoretical approaches and solving the related equations in particular regimes. A promising alternative approach is direct microphysical modeling based on first principles, as successfully applied to neutral rarefied fluids. Within this approach, the equations of motion of a large ensemble of charged particles are solved numerically while correlations are obtained from statistical analysis of the ensemble at different times. As a first step, in this work we validate the data analysis technique adopted in this numerical scheme for the case of an electron ensemble neglecting Coulomb interactions. The simulation results are compared with the analytical theory of ‘natural’ fluctuations for both un-magnetized and magnetized plasmas. For the latter, the derivations for arbitrary average distribution functions are presented.

On the kinetic instabilities of uniform magnetized plasmas with generalized loss-cone distribution functions

1981 ◽  
Vol 25 (1) ◽  
pp. 99-102 ◽  
Author(s):  
L. Gomberoff ◽  
S. Cuperman
Keyword(s):  
Distribution Functions ◽  
Complex Case ◽  
Larmor Radius ◽  
Magnetized Plasmas ◽  
Loss Cone ◽  
Thermal Anisotropy ◽  
Coupled Mode ◽  
Oblique Propagation ◽  
Parallel Propagation ◽  
Cone Index

A general proof is given that in uniform magnetized plasmas described by generalized loss-cone distribution functions (loss-cone index l, thermal velocity α∥, and perpendicular spread α⊥), electromagnetic, electrostatic, or coupled-mode instabilities are insensitive to the separate values of l and (α⊥/α∥); they depend rather, on the effective thermal anisotropy Aeff ≡ (T⊥/T∥)eff-1, where (T⊥/T∥)eff ≡ (l + 1) (α2⊥/α2∥). In the case of parallel propagation this statement is limited only by the linearization assumption; in the oblique propagation case, the additional condition λ⊥/rL ≫ 1 is required (λ⊥ = 1/k⊥, where k⊥ is the wave vector perpendicular to the external magnetic field, and rL is the Larmor radius). Thus, dispersion relations and their solutions obtained by using simple bi-Maxwellian distribution functions can be used directly for the complex case of generalized loss-cone distribution functions by simply replacing the anisotropy factor, A ≡α2⊥/α2∥-1, by Aeff defined above. This result explains earlier conclusions that the growth rate of the whistler instability is independent of the explicit value of the loss-cone index l, for a given thermal anisotropy.

scholarly journals The dielectric tensor for dusty magnetized plasmas with variable charge on dust particles

1998 ◽  
Vol 60 (2) ◽  
pp. 243-263 ◽  
Author(s):  
M. C. de JULI ◽  
R. S. SCHNEIDER
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
External Magnetic Field ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Magnetosonic Wave ◽  
Dielectric Tensor ◽  
Magnetized Plasmas ◽  
Variable Charge ◽  
Electrons And Ions

We derive the dielectric tensor for multicomponent magnetized dusty plasmas, including the effect of capture of plasma electrons and ions by the dust particles. For propagation perpendicular to the external magnetic field and Maxwellian distributions of electrons and ions, we obtain compact expressions for the components of the dielectric tensor, which can be used to analyse wave propagation. An application to the magnetosonic wave is presented.

scholarly journals The general dielectric tensor for bi-kappa magnetized plasmas

2016 ◽  
Vol 23 (6) ◽  
pp. 062108 ◽  
Author(s):  
R. Gaelzer ◽  
L. F. Ziebell ◽  
A. R. Meneses
Keyword(s):  
Dielectric Tensor ◽  
Magnetized Plasmas
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