Kinetic approach to a pressure-gradient-driven tokamak resistive instability in the banana regime

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.864929· OSTI ID:5597351

Shaing, K C; Callen, J D

A new resistive, low-frequency (..omega..<<..omega../sub b/a approx...nu../sub a/, where ..omega.. is the frequency of the mode and ..omega../sub b/a and ..nu../sub a/ are the bounce frequency and collision frequency for species a) instability is found in a tokamak geometry. The mode is driven unstable by the parallel viscous (bootstrap) current induced by the radial pressure gradient. It has a growth rate ..gamma..approx.(..omega../sup 2//sub asteriske/..nu../sub i/)/sup 1//sup ///sup 3/ for ..nu../sub i/>>..omega../sub asteriske/, where ..omega../sub asteriske/ is the electron diamagnetic drift frequency and ..nu../sub i/ is the ion--ion collision frequency. The frequency dependence of the parallel viscosity is also derived and utilized to show that drift wave branches of these modes are stable, but that this new mode remains unstable when the diamagnetic drift effects are included.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5597351
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:6; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BANANA REGIME
BOOTSTRAP MODEL
CLOSED PLASMA DEVICES
COLLISIONAL PLASMA
COLLISIONS
COMPOSITE MODELS
EIGENVALUES
ELECTRON DRIFT
FLUID MECHANICS
FREQUENCY DEPENDENCE
HYDRODYNAMICS
INSTABILITY
INSTABILITY GROWTH RATES
ION COLLISIONS
ION-ION COLLISIONS
MAGNETOHYDRODYNAMICS
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
PLASMA
PLASMA INSTABILITY
PRESSURE GRADIENTS
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRAPPING
VISCOSITY