A positive-definite form of bounce-averaged quasilinear velocity diffusion for the parallel inhomogeneity in a tokamak
- Title
- A positive-definite form of bounce-averaged quasilinear velocity diffusion for the parallel inhomogeneity in a tokamak
- Author
- 이정표
- Keywords
- waves; tokamak; kinetic theory; quasilinear theory; ion cyclotron heating
- Issue Date
- 2018-01
- Publisher
- IOP PUBLISHING LTD
- Citation
- PLASMA PHYSICS AND CONTROLLED FUSION, v. 60, no. 2, Article no. 025007
- Abstract
- In this paper, the analytical form of the quasilinear diffusion coefficients is modified from the Kennel-Engelmann diffusion coefficients to guarantee the positive definiteness of its bounce average in a toroidal geometry. By evaluating the parallel inhomogeneity of plasmas and magnetic fields in the trajectory integral, we can ensure the positive definiteness and help illuminate some non-resonant toroidal effects in the quasilinear diffusion. When the correlation length of the plasma-wave interaction is comparable to the magnetic field variation length, the variation becomes important and the parabolic variation at the outer-midplane, the inner-midplane, and trapping tips can be evaluated by Airy functions. The new form allows the coefficients to include both resonant and non-resonant contributions, and the correlations between the consecutive resonances and in many poloidal periods. The positive-definite form is implemented in a wave code TORIC and we present an example for ITER using this form.
- URI
- https://iopscience.iop.org/article/10.1088/1361-6587/aa96cahttps://repository.hanyang.ac.kr/handle/20.500.11754/117162
- ISBN
- 10.1088/1361-6587/aa96ca
- ISSN
- 0741-3335; 1361-6587
- Appears in Collections:
- COLLEGE OF ENGINEERING[S](공과대학) > NUCLEAR ENGINEERING(원자력공학과) > Articles
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