Counterstreaming magnetized plasmas. II. Perpendicular wave propagation

Journal Article · Thu Jun 15 04:00:00 EDT 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2207588· OSTI ID:20787378

Tautz, R C; Schlickeiser, R ^[1]

---

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 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 {sub 2}F{sub 2}. 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.

• OSTI ID: 20787378
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 13; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
APPROXIMATIONS
BERNSTEIN MODE
BOLTZMANN-VLASOV EQUATION
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTROMAGNETIC RADIATION
HYPERGEOMETRIC FUNCTIONS
MAXWELL EQUATIONS
OSCILLATIONS
PLASMA
PLASMA WAVES
RADIATION TRANSPORT
WAVE PROPAGATION