Journal of Plasma Physics · 1972 · 21 citations · 9 references
Natural SciencesPhysicsElectromagneticsElectromagnetismPlasma PhysicsMagnetized PlasmaPlasma InstabilitiesPlasma StabilityElectromagnetic InstabilityElectrostatic InstabilityGrowth RatesTemperature Dependence Of AnisotropyTwo-stream Instability
The instability of the ordinary electromagnetic mode propagating perpendicular to an external magnetic field is studied for two counter-streaming plasmas with anisotropic temperatures. A necessary and sufficient condition for this instability is derived and the growth rate is calculated. Although instability can occur in a plasma with low β ‖e , provided the streaming velocity is comparable to the parallel electron thermal velocity, β ‖e of the order of unity and large electron temperature anisotropy ( T ‖e ≫ T ⊥e ) are required for large growth rates. These large growth rates are typically of the order of the electron cyclotron frequency. Comparison with the electrostatic two-stream instability is made.
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Handbook of Mathematical Functions
Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations
A Treatise on the Theory of Bessel Functions
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Methods of theoretical physics
Caterina Domenicali · Journal of the Franklin Institute · 1954 · 4.9K citations