scholarly journals An improved approximation for the analytical treatment of the local linear gyro-kinetic plasma dispersion relation in toroidal geometry

2017 ◽  
Vol 59 (9) ◽  
pp. 095004 ◽  
Author(s):  
P Migliano ◽  
D Zarzoso ◽  
F J Artola ◽  
Y Camenen ◽  
X Garbet
Keyword(s):  
Dispersion Relation ◽  
Analytical Treatment ◽  
Local Linear ◽  
Plasma Dispersion ◽  
Toroidal Geometry

Quasi-static modes of oscillation of a cold toroidal plasma

1975 ◽  
Vol 14 (1) ◽  
pp. 25-37 ◽  
Author(s):  
John D. Love
Keyword(s):  
Dispersion Relation ◽  
Cross Section ◽  
Normal Modes ◽  
Toroidal Plasma ◽  
Cylindrical Plasma ◽  
Aspect Ratios ◽  
Plasma Ring ◽  
Toroidal Geometry

The normal modes of oscillation of a cold dielectric plasma ring are analysed in the quasi-electrostatic approximation. An exact dispersion relation is derived, valid for all aspect ratios. Its solutions are shown to be extremely close to those of an infinite cylindrical plasma with cross-section equal to the minor cross-section of the ring, when the cylinder is considered as a wavelength-preserving limit of the toroidal geometry.

Relativistic plasma dispersion relation

1969 ◽  
Vol 11 (11) ◽  
pp. 899-902 ◽  
Author(s):  
B N A Lamborn
Keyword(s):  
Dispersion Relation ◽  
Relativistic Plasma ◽  
Plasma Dispersion

The plasma dispersion relation near the two–ion hybrid resonance

1982 ◽  
Vol 27 (2) ◽  
pp. 327-342 ◽  
Author(s):  
S. C. Chiu ◽  
V. S. Chan ◽  
J. Y. Hsu ◽  
D. G. Swanson
Keyword(s):  
Wave Equation ◽  
Critical Temperature ◽  
Dispersion Relation ◽  
Cyclotron Frequency ◽  
Hydrogen Plasma ◽  
Fast Mode ◽  
Temperature Ratio ◽  
Hybrid Layer ◽  
Hybrid Resonance ◽  
Plasma Dispersion

The dispersion relation of a deuterium –hydrogen plasma is investigated near the ion cyclotron frequency of hydrogen at varying hydrogen temperatures. It is found that at low hydrogen-to-deuterium temperature ratios, only the fast mode and the ion Bernstein mode are coupled around the hybrid layer. Above a certain critical temperature ratio Th< Thc, these two modes become coupled also to a third mode. Around and above Thc, the wave equation is of sixth order rather than of the fourth order previously discussed.

Warm plasma dispersion relation of the fast Alfven wave for asymmetrical heating current drive

1989 ◽  
Vol 17 (3) ◽  
pp. 520-523
Author(s):  
J.M. Gahl ◽  
O. Ishihara ◽  
M.O. Hagler ◽  
M. Kristiansen
Keyword(s):  
Dispersion Relation ◽  
Current Drive ◽  
Alfven Wave ◽  
Heating Current ◽  
Warm Plasma ◽  
Plasma Dispersion

Cyclotron instabilities of a magnetized electron plasma with anisotropic temperatures

1977 ◽  
Vol 17 (3) ◽  
pp. 453-465 ◽  
Author(s):  
C. Chiuderi ◽  
G. Einaudi ◽  
R. Giachetti
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Dispersion Relation ◽  
Growth Rates ◽  
Linear Growth ◽  
Electron Plasma ◽  
Maxwellian Distribution ◽  
Analytical Treatment ◽  
Maxwellian Distribution Function ◽  
Instability Regions

The dispersion relation for an electron plasma in a magnetic field is investigated for a bi-Maxwellian distribution function. A new set of solutions for non-perpendicular propagation is found. The linear growth rates are computed and the instability regions in the (k, cos θ) plane are determined. An approximate analytical treatment of the problem is also given for certain ranges of the parameters.

Empirical versus exact numerical quasilinear analysis of electromagnetic instabilities driven by temperature anisotropy

2011 ◽  
Vol 78 (1) ◽  
pp. 47-54 ◽  
Author(s):  
PETER H. YOON ◽  
JUNG JOON SEOUGH ◽  
KHAN HYUK KIM ◽  
DONG HUN LEE
Keyword(s):  
Numerical Calculation ◽  
Dispersion Relation ◽  
Research Method ◽  
Wave Dispersion ◽  
Dispersion Function ◽  
Temporal Development ◽  
Temperature Anisotropy ◽  
Self Consistent ◽  
Plasma Dispersion ◽  
Exact Numerical Calculation

AbstractIn the present paper, quasilinear development of anisotropy-driven electromagnetic instabilities is computed on the basis of recently formulated empirical wave dispersion relation and compared against exact numerical calculation based upon transcendental plasma dispersion function and exact numerical roots. Upon comparison with the exact method it is demonstrated that the empirical model provides reasonable results. The present findings may be relevant to space physical application, as the present paper provides a useful short-cut research method for self-consistent analysis of temporal development of anisotropy-driven instabilities.

Nonlinear theory of large-mode-number ballooning modes in fully toroidal geometry

1985 ◽  
Vol 34 (1) ◽  
pp. 143-161 ◽  
Author(s):  
J. P. Mondt ◽  
J. Weiland
Keyword(s):  
Dispersion Relation ◽  
Aspect Ratio ◽  
Model Equation ◽  
Larmor Radius ◽  
Low Density ◽  
Magnetic Shear ◽  
Explosive Instability ◽  
Finite Larmor Radius ◽  
Special Case ◽  
Toroidal Geometry

A nonlinear model equation describing ballooning modes for β of the order of the inverse aspect ratio and including magnetic shear is derived. For the special case of circular concentric flux surfaces, we obtain an approximate dispersion relation, including finite Larmor radius effects, and show the possibility of explosive instability in the nonlinear regime. The results are shown to remain valid in the presence of a low-density hot-ion constituent.

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