Nonlocal hybrid-kinetic stability analysis of the mirror-drift-cone instability
Journal Article
·
· Phys. Fluids; (United States)
A hybrid-kinetic model (Vlasov ions and cold-fluid electrons) is used to develop a fully nonlocal theory of the mirror-drift-cone instability. The stability analysis assumes electrostatic flute perturbations about a cylindrical ion equilibrium f/sup 0//sub i/(H/sub perpendicular/-..omega../sub i/P/sub theta/, v/sub z/), where ..omega../sub i/=const is the angular velocity of mean rotation. The radial eigenvalue equation for the potential amplitude phi (r) is solved exactly for the particular choice of f/sup 0//sub i/ corresponding to a sharp-boundary (rectangular) density profile. The resulting dispersion relation for the complex eigenfrequency ..omega.. is investigated numerically for a broad range of system parameters including the important influence of large ion orbits and ion thermal effects. It is found that the instability growth rate is typically more severe for fast rotational equilibria (..omega../sub i/=omega-circumflex/sup +//sub i/) with axis encircling orbits than for slow rotational equilibria (..omega../sub i/=omega-circumflex/sup -//sub i/). Stability behavior is investigated for the entire range of r/sub L/i/R/sub p/ allowed by the equiibrium model (0<2r/sub L/i/R/sub p/<1).
- Research Organization:
- Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- OSTI ID:
- 5935108
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 22:11; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
ANALYTICAL SOLUTION
BOLTZMANN-VLASOV EQUATION
CHARGED PARTICLES
COLD PLASMA
CONFIGURATION
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
EIGENVALUES
ELECTRIC POTENTIAL
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
INSTABILITY
IONS
LARMOR RADIUS
LEPTONS
LOSS CONE INSTABILITY
MAGNETIC MIRRORS
NUMERICAL SOLUTION
OPEN PLASMA DEVICES
ORBITS
PLASMA
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
THERMONUCLEAR DEVICES
700107* -- Fusion Energy-- Plasma Research-- Instabilities
ANALYTICAL SOLUTION
BOLTZMANN-VLASOV EQUATION
CHARGED PARTICLES
COLD PLASMA
CONFIGURATION
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
EIGENVALUES
ELECTRIC POTENTIAL
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
INSTABILITY
IONS
LARMOR RADIUS
LEPTONS
LOSS CONE INSTABILITY
MAGNETIC MIRRORS
NUMERICAL SOLUTION
OPEN PLASMA DEVICES
ORBITS
PLASMA
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
THERMONUCLEAR DEVICES