American Journal of Modern Physics

| Peer-Reviewed |

Quasilinear Theory for Relativistic Particles

Received: 15 September 2014    Accepted: 25 September 2014    Published: 30 September 2014
Views:       Downloads:

Share This Article

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.

DOI 10.11648/j.ajmp.20140305.13
Published in American Journal of Modern Physics (Volume 3, Issue 5, September 2014)
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), 2024. Published by Science Publishing Group

Keywords

Relativistic, Quasi-Linear, Three-Dimension Diffusion

References
[1] Kaufman A N 1972 Phys. Fluids 15 1063
[2] Lichtenberg A J and Lieberman M A 1983 Applied Sciences 38 (Springer-Verlag New York Inc.)
[3] A. J. Brizard and A. A. Chan, “Relativistic quasilinear diffusion in axisymmetric magnetic geometry for arbitrary-frequency electromagnetic fluctuations,” Physics of Plasmas 11, no. 9, pp. 4220–4229, 2004.
[4] L.-G. Eriksson and P. Helander, “Monte Carlo operators for orbit-averaged Fokker-Planck equations,” Physics of Plasmas, vol. 1, no. 2, pp. 308–314, 1994.
[5] M. Brambila, Plasma Physics and Controlled Fusion, vol. 41, p. 1, 1999.
[6] A. Cardinali, L.Morini, and F. Zonca, in Proceedings of the Joint Varenna-Lausanne InternationalWorkshop on Theory of Fusion Plasmas, J. Conner, O. Sauter, and E. Sindoni, Eds., vol. 871, p. 292, American Institute of Physics, Varenna, Italy, 2006
[7] R. D. Hazeltine, S. M. Mahajan, and D. A.Hitchcock, “Quasilinear diffusion and radial transport in tokamaks,” Physics of Fluids, vol. 24, no. 6, pp. 1164–1179, 1981.
[8] Z. T. Wang, Y. X. Long, J. Q. Dong, L. Wang, and F. Zonca, “Fishbone instability excited by barely trapped electrons,” Chinese Physics Letters, vol. 23, no. 1, pp. 158–160, 2006.
[9] Hazeltine R D Mahajan S M and Hitchcock D A, Phys. Fluids, 24, 1164 (1972).
[10] B. Braams and C. F. F. Karney, Phys. Fluids B1, 1355(1989).
[11] R. D. Hazeltine and J. D. Meiss, Plasma Confinement Published bby Addison-Webley Publishing Company, (1992).
Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | Download

  • @article{10.11648/j.ajmp.20140305.13,
      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}
    }
    

    Copy | Download

  • 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  - 

    Copy | Download

Author Information
  • Southwestern Institute of Physics, Chengdu, Sichuan, 610041, China; College of Physics Science and Technology, Sichuan University, Chengdu, Sichuan, 610065, China

  • Southwestern Institute of Physics, Chengdu, Sichuan, 610041, China

  • Southwestern Institute of Physics, Chengdu, Sichuan, 610041, China

  • Southwestern Institute of Physics, Chengdu, Sichuan, 610041, China

  • Southwestern Institute of Physics, Chengdu, Sichuan, 610041, China

  • College of Physics Science and Technology, Sichuan University, Chengdu, Sichuan, 610065, China

  • College of Physics Science and Technology, Sichuan University, Chengdu, Sichuan, 610065, China

  • College of Physics Science and Technology, Sichuan University, Chengdu, Sichuan, 610065, China

  • Sections