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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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