Adiabatic theory of the linear hose instability of a relativistic electron beam propagating in resistive plasma

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1985

OSTI ID:5316956

O'Brien, K J

It is demonstrated that the cold Vlasov beam, the circle-limit of the warm Vlasov beam, the spread-mass model, and the energy-group model of a relativistic electron beam undergoing linear hose instability, are all formally equivalent. Therefore, the circle-orbit beam is the natural starting point for a higher order theory. Introducing the next order in non-circularity the author makes contact with the adiabatic theory for warm beams. The adiabatic theory is founded upon the existence of transverse action invariants that remain sufficiently well-defined, despite the nonaxisymmetric potential and the coupling resonances driven by linear hose instability. The existence of action invariants enables the elimination of a fast variable, analogous to gyro-motion, called vortex-gyration. One problem with adiabatic beam theory is that coupling resonances between the degrees of freedom could destroy the adiabatic invariants upon which the theory rests. KAM theory is employed here to study the destruction of action invariants due to linear hose instability. Nonaxisymmetric adiabatic beams are defined to be those for which KAM tori exist in the transverse phase space. For hose deflections of the magnitude considered in linear theory, KAM tori persist, preventing the destruction of the invariants.

• Research Organization: Wisconsin Univ., Madison (USA)
• OSTI ID: 5316956
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
BEAM TRANSPORT
HOSE INSTABILITY
ADIABATIC APPROXIMATION
ELECTRON BEAMS
RELATIVISTIC RANGE
BEAMS
ENERGY RANGE
INSTABILITY
LEPTON BEAMS
PARTICLE BEAMS
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
700107* - Fusion Energy- Plasma Research- Instabilities
700105 - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)