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

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

Jul 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phpl...12g2101t&link_type=abstract

Physics of Plasmas, Volume 12, Issue 7, pp. 072101-072101-13 (2005).

Physics

21

Plasma Kinetic Equations, Electrostatic Waves And Oscillations, Shock Waves And Discontinuities, Transport Properties, Relativistic Plasmas, Microinstabilities, Plasma Dynamics And Flow

Scientific paper

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.

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