Physics
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006phpl...13f2901t&link_type=abstract
Physics of Plasmas, Volume 13, Issue 6, pp. 062901-062901-9 (2006).
Physics
22
Electromagnetic Radiation Interactions With Plasma, Electrostatic Waves And Oscillations, Transport Properties, Plasma Kinetic Equations, Magnetized Plasmas, Electromagnetic Waves
Scientific paper
The properties of longitudinal and transverse oscillations in magnetized symmetric counterstreaming Maxwellian plasmas with equal thermal velocities for waves propagating perpendicular to the stream direction are investigated on the basis of Maxwell equations and the nonrelativistic Vlasov equation. With the constraint of vanishing particle flux in the stream direction, three distinct dispersion relations are known, which are the ordinary-wave mode, the Bernstein wave mode, and the extraordinary electromagnetic wave mode, where the latter two are only approximations. In this article, all three dispersion relations are evaluated for a counterstreaming Maxwellian distribution function in terms of the hypergeometric function 2F2. The growth rates for the ordinary-wave mode are compared to earlier results by Bornatici and Lee [Phys. Fluids 13, 3007 (1970)], who derived approximate results, whereas in this article the exact dispersion relation is solved numerically. The original results are therefore improved and show differences of up to 21% to the results obtained in this article.
Schlickeiser Reinhard
Tautz Robert C.
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