Growth rates and transport coefficients for the trapped ion/collisionless trapped particle instability
The dispersion relations for the trapped ion and collisionless trapped particle instabilities are presented as derived from a simplified local model. The properties of the collisionless trapped particle instability are discussed. The linear growth rate for the trapped ion mode under the usual ordering in collisionality is discussed. An expression for the growth rate at lower collisionality is then derived and an approximate solution to the linear growth rate, valid for all ranges of collisionality, is obtained. The effects of temperature gradients, ion Landau damping and nonlocal approximations on the linear growth of the trapped ion mode are discussed. Finally, the difficulties associated with evaluating the diffusion and conduction coefficients in terms of the linear growth rates are discussed.
- Research Organization:
- Wisconsin Univ., Madison (USA). Dept. of Nuclear Engineering
- DOE Contract Number:
- E(11-1)-2272
- OSTI ID:
- 7333333
- Report Number(s):
- UWFDM-162; TRN: 77-000943
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COLLISIONLESS PLASMA
TRAPPED-PARTICLE INSTABILITY
INSTABILITY GROWTH RATES
DISPERSION RELATIONS
LANDAU DAMPING
TEMPERATURE GRADIENTS
TRANSPORT THEORY
DAMPING
INSTABILITY
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
700107* - Fusion Energy- Plasma Research- Instabilities