Nonlinear growth of a single neoclassical MHD tearing mode in a tokamak
The nonlinear evolution equation for the growth of a single neoclassical MHD tearing mode is derived from the usual resistive MHD equations with neoclassical effects included. For the case ..delta..' > 0 where the usual resistive MHD modes are unstable, in nonlinear neoclassical MHD there is an intermediate time regime in which the island width w grows only as t/sup 1/2/. However, eventually the neoclassical MHD tearing modes are found to enter the usual resistive MHD Rutherford regime where w infinity t. Physically, the neoclassical MHD bootstrap current effects modify the linear and early nonlinear growth of tearing modes. However, eventually the magnetic islands flatten the pressure gradient within the island to remove these effects and return, at long times, to the usual quasilinear picture for the nonlinear evolution of a single resistive MHD tearing mode.
- Research Organization:
- Wisconsin Univ., Madison (USA). Dept. of Nuclear Engineering
- DOE Contract Number:
- AC02-80ER53104
- OSTI ID:
- 5933787
- Report Number(s):
- DOE/ER/53104-T6; UWPR-85-5; ON: DE86008946
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700107* -- Fusion Energy-- Plasma Research-- Instabilities
CLOSED PLASMA DEVICES
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY
INSTABILITY GROWTH RATES
MAGNETIC FIELD CONFIGURATIONS
MAGNETIC ISLANDS
MAGNETOHYDRODYNAMICS
MECHANICS
NEOCLASSICAL TRANSPORT THEORY
NONLINEAR PROBLEMS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
TEARING INSTABILITY
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRANSPORT THEORY