Stability properties of a cylindrical rotating P-layer immersed in a uniform background plasma

Journal Article · Sat Mar 31 23:00:00 EST 1979 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.862652· OSTI ID:6455510

Uhm, H S; Davidson, R C

The electrostatic stability properties of a rotating, charge-neutralized P-layer are investigated within the framework of a hybrid (Vlasov-fluid) model in which the layer ions are described by the Vlasov equation, and the layer electrons and the uniform background plasma are described as macroscopic, cold fluids. It is assumed that the P layer is thin, with radial thickness (2a) much smaller than the mean radius (R/sub 0/), and that ..nu..very-much-less-than1, where ..nu.. is Budker's parameter for the layer ions. Electrostatic stability properties are calculated for perturbations about a weakly diamagnetic P layer with rectangular density profile, described by the equilibrium distribution function f/sup 0//sub b/= (n/sub b/R/sub 0//2..pi..m/sub i/) delta(H-V/sub z/P/sub z/-m/sub i/ (V/sup 2//sub 0/-V/sup 2//sub z/)/2)delta (P/sub theta/-P/sub 0/), where H is the energy, P/sub theta/ is the canonical angular momentum, P/sub z/ is the axial canonical momentum, and n/sub b/, R/sub 0/, V/sub z/, V/sub 0/, and P/sub 0/ are constants. The stability analysis is carried out including the effects of a uniform background plasma, and weak self-magnetic fields. Although a slow rotational P layer (P/sub 0/>0) is found to be stable, it is shown that a fast rotational P-layer (P/sub 0/<0) is unstable for sufficiently high background plasma density (..omega../sup 2//sub p/>>..omega../sup 2//sub c/i). The typical instability growth rate is a substantial fraction of the ion cyclotron frequency.

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 6455510
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 22:4; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105 -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BARYONS
BOLTZMANN-VLASOV EQUATION
CHARGED PARTICLES
COLD PLASMA
CONFIGURATION
CYCLOTRON FREQUENCY
CYLINDRICAL CONFIGURATION
DIAMAGNETISM
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HADRONS
INSTABILITY
ION RINGS
IONS
KINETIC EQUATIONS
LAYERS
LEPTONS
MAGNETIC FIELD REVERSAL
MAGNETIC FIELDS
MAGNETISM
NEGATIVE MASS INSTABILITY
NUCLEONS
NUMERICAL SOLUTION
PLASMA
PLASMA DENSITY
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
POISSON EQUATION
PROTONS
RECOMBINATION