A positive-definite form of bounce-averaged quasilinear velocity diffusion for the parallel inhomogeneity in a tokamakopen access
- Authors
- Lee,Jung pyo; Smithe, David; Wright, John; Bonoli, Paul
- Issue Date
- Dec-2017
- Publisher
- IOP PUBLISHING LTD
- Keywords
- waves; tokamak; kinetic theory; quasilinear theory; ion cyclotron heating
- Citation
- PLASMA PHYSICS AND CONTROLLED FUSION, v.60, no.2, pp.25007 - 25023
- Indexed
- SCIE
SCOPUS
- Journal Title
- PLASMA PHYSICS AND CONTROLLED FUSION
- Volume
- 60
- Number
- 2
- Start Page
- 25007
- End Page
- 25023
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/17824
- DOI
- 10.1088/1361-6587/aa96ca
- ISSN
- 0741-3335
- 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.
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Collections - 서울 공과대학 > 서울 원자력공학과 > 1. Journal Articles
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