Stability properties of azimuthally symmetric perturbations in an intense electron beam
The Vlasov--Maxwell equations are used to investigate the stability of azimuthally symmetric perturbations (e.g., sausage and hollowing modes) of an electron or ion beam immersed in a resistive plasma. The perturbed space charge and plasma current are treated self-consistently for any value of the plasma conductivity. A similar analysis of the hose instability is also carried out. It is assumed that ..nu../..gamma../sub b/<<1, where ..nu.. is Budker's parameters and ..gamma../sub b/mc/sup 2/ is the characteristic beam electron energy. The analysis is carried out for the ''loss-cone'' distribution function in which all of the beam electrons have the same value of energy (in a frame of reference rotating with angular velocity ..omega../sub b/) and the same value of axial canonical momentum. In the high conductivity regime, the system is shown to be strongly destabilized by a sufficiently large value of the fractional current neutralization.
- Research Organization:
- Naval Surface Weapons Center, White Oak, Silver Spring, Maryland 20910
- OSTI ID:
- 6309734
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 24:8; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BEAM-PLASMA SYSTEMS
BEAMS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRON BEAMS
FUNCTIONS
HOSE INSTABILITY
INSTABILITY
LEPTON BEAMS
MAGNETIC FIELDS
PARTICLE BEAMS
PHYSICAL PROPERTIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA MICROINSTABILITIES
SAUSAGE INSTABILITY
SPACE CHARGE