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.

Generalized Trubnikov functions for unmagnetized plasmas

1999 ◽  
Vol 62 (2) ◽  
pp. 249-253 ◽  
Author(s):  
D. B. MELROSE
Keyword(s):  
Thermal Plasma ◽  
Thermal Plasmas ◽  
Relativistic Plasma ◽  
Dispersion Function ◽  
Recursion Relations ◽  
Relativistic Dispersion ◽  
Plasma Dispersion ◽  
Class Of Functions ◽  
Explicit Expressions

A class of relativistic dispersion functions for unmagnetized thermal plasmas is defined by generalizing functions first defined by Trubnikov in 1958. Recursion relations are derived that allow one to generate explicit expressions for the class of functions in terms of the relativistic plasma dispersion function T(z, ρ) introduced by Godfrey et al. in 1975. These functions are relevant to the description of the response of a weakly mangetized, highly relativistic, thermal plasma.

Drift instabilities of a relativistic plasma. Part 1. Kinetic description of drift effects in a relativistic plasma

1987 ◽  
Vol 37 (1) ◽  
pp. 15-28 ◽  
Author(s):  
A. B. Mikhailovskii ◽  
O. G. Onishchenko
Keyword(s):  
Dispersion Relation ◽  
Dielectric Permittivity ◽  
Relativistic Effects ◽  
Plasma Pressure ◽  
Relativistic Plasma ◽  
Magnetized Plasma ◽  
Permittivity Tensor ◽  
Dielectric Permittivity Tensor ◽  
General Dispersion

The role of relativistic effects in the problem of drift instabilities in an inhomogeneous magnetized plasma is analysed. The kinetic approach is developed, taking into account a non-zero plasma pressure and the electromagnetic character of the perturbations. The general dispersion relation for the perturbations in an inhomogeneous relativistic plasma is obtained. As in the case of a non-relativistic plasma, the dispersion relation is written in terms of the modified dielectric permittivity tensor. This tensor is calculated by taking into account the non-Maxwellian character of the equilibrium momentum distributions of the particles. The relation between the modified dielectric permittivity tensor and the ordinary tensor of dielectric permittivity of a homogeneous plasma is elucidated.

A Relativistic Plasma Dispersion Function

1975 ◽  
Vol 3 (2) ◽  
pp. 60-67 ◽  
Author(s):  
Brendan B. Godfrey ◽  
Barry S. Newberger ◽  
Keith A. Taggart
Keyword(s):  
Relativistic Plasma ◽  
Dispersion Function ◽  
Plasma Dispersion
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