Tearing instabilities in the banana-plateau collisionality regime
Starting from a resistive MHD set of equations and adding neoclassical currents (bootstrap, enhanced polarization and pinch type), we derive the eigenmode equation and relevant dispersion relation for ''neoclassical MHD'' tearing modes in the banana-plateau collisionality regime. The ballooning mode representation and a multiple length scale approximation are utilized. Analysis of the dispersion relation shows that the neoclassical effects on tearing modes are quite strong for ..sqrt..epsilon ..beta../sub p/(1 + nu/sub *//sub e/)/sup -1/ > S/sup -2/5/ (epsilon is the inverse aspect ratio, ..beta../sub p/ is the poloidal beta value, nu/sub *//sub e/ is the electron collisionality factor and S is the neoclassical MHD Reynolds number). The growth rate ..gamma.. and singular layer width deltax are increased typically by more than one order of magnitude from the usual values for epsilon ..beta../sub p/ approx. = 1. For our model, the changes in the tearing modes from the banana-plateau collisionality regime to the usual Pfirsch-Schlueter regime are very clear and natural.
- Research Organization:
- Wisconsin Univ., Madison (USA). Dept. of Nuclear Engineering
- DOE Contract Number:
- AC02-80ER53104
- OSTI ID:
- 5464323
- Report Number(s):
- DOE/ER/53104-T2; ON: DE85016794
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BANANA REGIME
TEARING INSTABILITY
PLATEAU REGIME
BALLOONING INSTABILITY
COLLISIONS
INSTABILITY GROWTH RATES
MAGNETOHYDRODYNAMICS
NEOCLASSICAL TRANSPORT THEORY
PFIRSCH-SCHLUETER REGIME
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
MECHANICS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
TRANSPORT THEORY
TRAPPING
700107* - Fusion Energy- Plasma Research- Instabilities