Covariant kinetic dispersion theory of linear waves in anisotropic plasmas. III. Counterstreaming plasmas

Journal Article · Fri Jul 15 04:00:00 EDT 2005 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.1939967· OSTI ID:20764365

Tautz, R C; Schlickeiser, R ^[1]

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1. Institut fuer Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

The properties of longitudinal and transverse oscillations in unmagnetized counterstreaming Maxwellian plasmas of arbitrary composition for waves propagating parallel to the stream direction are investigated on the basis of Maxwell equations and the relativistic Vlasov equation. These dispersion relations describe the linear response of the system to the initial perturbations and thus define all existing linear parallel propagating plasma modes in the system. By analytic continuation the dispersion relations in the whole complex frequency plane are constructed. The dispersion relations hold for any values of the plasma temperatures, streaming velocity, intensities of the two streams, and for all wave number and frequency values of the oscillations. In the limit of nonrelativistic plasma temperatures these general dispersion relations can be expressed in terms of the well-documented Fried and Conte plasma dispersion function. Only in the case of infinitely large speed of light they agree with the standard nonrelativistic results.

• OSTI ID: 20764365
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 12; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
BOLTZMANN-VLASOV EQUATION
CHARGED-PARTICLE TRANSPORT
DISPERSION RELATIONS
DISTURBANCES
ELECTRON TEMPERATURE
ION TEMPERATURE
MAXWELL EQUATIONS
OSCILLATIONS
PLASMA INSTABILITY
PLASMA WAVES
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
SHOCK WAVES