Oscillating two-stream and parametric decay instabilities in a weakly magnetized plasma

Journal Article · Tue Jan 01 00:00:00 EST 1980 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862854· OSTI ID:5725776

Freund, H P; Papadopoulos, K

The effects of a weak ambient magnetic field on the oscillating two-stream and parametric decay instabilities, with particular emphasis on the dependence of the angular variation of the instability thresholds and growth rates on the magnetic field, are considered. A dispersion relation is derived in the limit in which ..omega../sub e/>>..cap omega../sub e/ (where ..omega../sub e/ and ..cap omega../sub e/ are the electron plasma and cyclotron frequencies, respectively), and is solved for dipole and monochromatic pump spectra. The analysis shows that the presence of a magnetic field can substantially enhance thresholds and reduce growth rates for waves propagating at an oblique angle with respect to the ambient magnetic field and k/sup 2/lambda/sup 2//sub e/approx...cap omega../sup 2//sub e//..omega../sup 2//sub e/ (where k is the wave vector of the perturbation and lambda/sub e/ is the Debye length). Thus, the magnetic field has a stabilizing influence on the off-parallel propagating modes.

• Research Organization: Naval Research Laboratory, Washington, D. C. 20375
• OSTI ID: 5725776
• Journal Information: Phys. Fluids; (United States), Vol. 23:1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PARAMETRIC INSTABILITIES
OSCILLATIONS
TWO-STREAM INSTABILITY
BEAM-PLASMA SYSTEMS
CONTINUITY EQUATIONS
DISPERSION RELATIONS
ION ACOUSTIC WAVES
KINETIC EQUATIONS
MAGNETIC FIELDS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PLASMA HEATING
PLASMA INSTABILITY
POISSON EQUATION
SOLITONS
DIFFERENTIAL EQUATIONS
EQUATIONS
HEATING
INSTABILITY
ION WAVES
PLASMA MACROINSTABILITIES
PLASMA MICROINSTABILITIES
PLASMA WAVES
QUASI PARTICLES
700107* - Fusion Energy- Plasma Research- Instabilities