Quasilinear theory is developed by using canonical variables for relativistic particles. It is self-consistent, including momentum, pitch-angle, and spatial diffusions. By assuming the wave field is a superposition of known toroidal and poloidal Fourier modes, the quasilinear diffusion coefficients are written in a form which can be directly evaluated by using the output of a spectral full-wave solver of Maxwell equations in toroidal plasmas. The formalism is special for tokamaks which are axis-symmetric, therefore, it is simple and suitable for simulations of cyclotron heating, current drive and radio-frequency wave induced radial transport in ITER. PACS: 52.35.Py, 52.50.Sw, 52.35.Fa.
| Published in | American Journal of Modern Physics (Volume 3, Issue 5) |
| DOI | 10.11648/j.ajmp.20140305.13 |
| Page(s) | 207-210 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Relativistic, Quasi-Linear, Three-Dimension Diffusion
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APA Style
Zhong-Tian Wang, Zhi-Xiong He, Zhan-Hui Wang, Min Xu, Jia-Qi Dong, et al. (2014). Quasilinear Theory for Relativistic Particles. American Journal of Modern Physics, 3(5), 207-210. https://doi.org/10.11648/j.ajmp.20140305.13
ACS Style
Zhong-Tian Wang; Zhi-Xiong He; Zhan-Hui Wang; Min Xu; Jia-Qi Dong, et al. Quasilinear Theory for Relativistic Particles. Am. J. Mod. Phys. 2014, 3(5), 207-210. doi: 10.11648/j.ajmp.20140305.13
AMA Style
Zhong-Tian Wang, Zhi-Xiong He, Zhan-Hui Wang, Min Xu, Jia-Qi Dong, et al. Quasilinear Theory for Relativistic Particles. Am J Mod Phys. 2014;3(5):207-210. doi: 10.11648/j.ajmp.20140305.13
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author = {Zhong-Tian Wang and Zhi-Xiong He and Zhan-Hui Wang and Min Xu and Jia-Qi Dong and Na Wu and Shao-Yong Chen and Chang-Jian Tang},
title = {Quasilinear Theory for Relativistic Particles},
journal = {American Journal of Modern Physics},
volume = {3},
number = {5},
pages = {207-210},
doi = {10.11648/j.ajmp.20140305.13},
url = {https://doi.org/10.11648/j.ajmp.20140305.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140305.13},
abstract = {Quasilinear theory is developed by using canonical variables for relativistic particles. It is self-consistent, including momentum, pitch-angle, and spatial diffusions. By assuming the wave field is a superposition of known toroidal and poloidal Fourier modes, the quasilinear diffusion coefficients are written in a form which can be directly evaluated by using the output of a spectral full-wave solver of Maxwell equations in toroidal plasmas. The formalism is special for tokamaks which are axis-symmetric, therefore, it is simple and suitable for simulations of cyclotron heating, current drive and radio-frequency wave induced radial transport in ITER. PACS: 52.35.Py, 52.50.Sw, 52.35.Fa.},
year = {2014}
}
TY - JOUR T1 - Quasilinear Theory for Relativistic Particles AU - Zhong-Tian Wang AU - Zhi-Xiong He AU - Zhan-Hui Wang AU - Min Xu AU - Jia-Qi Dong AU - Na Wu AU - Shao-Yong Chen AU - Chang-Jian Tang Y1 - 2014/09/30 PY - 2014 N1 - https://doi.org/10.11648/j.ajmp.20140305.13 DO - 10.11648/j.ajmp.20140305.13 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 207 EP - 210 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20140305.13 AB - Quasilinear theory is developed by using canonical variables for relativistic particles. It is self-consistent, including momentum, pitch-angle, and spatial diffusions. By assuming the wave field is a superposition of known toroidal and poloidal Fourier modes, the quasilinear diffusion coefficients are written in a form which can be directly evaluated by using the output of a spectral full-wave solver of Maxwell equations in toroidal plasmas. The formalism is special for tokamaks which are axis-symmetric, therefore, it is simple and suitable for simulations of cyclotron heating, current drive and radio-frequency wave induced radial transport in ITER. PACS: 52.35.Py, 52.50.Sw, 52.35.Fa. VL - 3 IS - 5 ER -
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