THEORY OF PLASMAS. II. LINEAR OSCILLATIONS IN RELATIVISTIC PLASMAS. Final Report

Technical Report · Tue Jan 31 23:00:00 EST 1961

OSTI ID:4836090

Imre, K

The linear oscillations in a hot plasma which is representable by the relativistic Vlasov equation with the selfconsistent fields were investigated. The method used by Bernstein in the nonrelativistic case was generalized to obtain the formal solution of the linearized problem. Particular attention was given to the case when the unperturbed distribution function was of the Maxwell- Boltzmann-Juttner type in which case the integrations involving the velocity space were carried out explicitly. The dispersion equation was derived and studied to some extent, considering the spatial dispersions explicitly in some cases of special interest. The ordinary and extraordinary modes, and the magnetohydrodynamic waves were investigated when the propagation vector was along the unperturbed magnetic field. The asymptotic expansions were developed corresponding to the dispersion relations of the cases considered, and they were found to be in agreement with the results of previous studies in their respective order of approximations. It was also found that circularly polarized transverse waves propagating along the unperturbed msgnetic field are evanescent if nu /sup 2/ >1 - OMEGA /sup 2/ omega /sup 2/where nu is the index of refraction and OMEGA is the gyrofrequency. In the absence of the external field the cut-off frequency was found to be a monotonically decreasing function of the temperature. (auth)

• Research Organization: Michigan. Univ., Ann Arbor. Radiation Lab.
• NSA Number: NSA-16-001108
• OSTI ID: 4836090
• Report Number(s): ARL-TR-60-274(Pt.II); ORA-2756
• Country of Publication: United States
• Language: English

Related Subjects

ALFVEN WAVES
BOLTZMANN EQUATION
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELECTRODYNAMICS
ELECTROMAGNETISM
FREQUENCY
GYROFREQUENCY
HYDROMAGNETIC WAVES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MAXWELL EQUATIONS
MOTION
OSCILLATIONS
PHYSICS
PLASMA
PLASMA WAVES
POLARIZATION
REFRACTION
RELATIVITY THEORY
TEMPERATURE
TRANSPORT THEORY
VELOCITY
VLASOV EQUATION