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Title: Growth rates and transport coefficients for the trapped ion/collisionless trapped particle instability

Technical Report ·
OSTI ID:7333333

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