American Journal of Modern Physics

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Diffusivity Scaling on Shear Flow

Received: Sep. 04, 2014    Accepted: Sep. 20, 2014    Published: Sep. 30, 2014
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Abstract

Diffusivity scaling on shear flow is investigated. Radial electrical field is the drive of the flow. The turning points of the trapped particle are not on the drift surface, but modified by the radial electrical field. For the first time, an analytical expression of the banana width in presence of shear flow is accurately derived. The particle diffusivity given by Rosenbluth is reproduced but with the shear flow modification.

DOI 10.11648/j.ajmp.20140305.12
Published in American Journal of Modern Physics ( Volume 3, Issue 5, September 2014 )
Page(s) 202-206
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

Tokamak Plasma, Diffusivity Scaling, Shear Flow, Trapped Particle, Guiding-Center

References
[1] E.J.Doyle, R.J. Groebner, K.M.Burrell, P. Gohil, T. Lehcka, N. C. Luhmann Jr., H. Matsumoto, T. H. Osborne, W. A. Peebles, and R. Philipona, Modification in turbulence and edge electric field at the L-H transition in Dlll-D tokamak, Phys. Fluids B 3, 2300(1991).
[2] F.L.Hinton and S.K.Wong, Neoclassical ion transport in rotating axisymmetrical plasmas, Phys. Fluids 28, 3082(1985).
[3] R.D.Hazeltine, Self-consistent radial sheath, Phys.Fluids B1, 2031(1989).
[4] G. Kagan and P. J. Catto, Phys. Rev. Lett. 105, 045002(2010).
[5] K. C. Shaing and C. T. Hsu, Phys. Plasmas 19, 022502(2012).
[6] P. J. Catto, F. I. Parra, G. Kagan, J. B. Parker, I. Pusztai, and M. Landreman, Plasma Phys. Control. Fusion, 55, 045009(2013).
[7] M. N. Rosenbluth, R. D. Hazeltine, F. L. Hinton, Phys. Fluids, 15, 116(1972).
[8] R. G. Littlejohn, J. Plasma physics 29, 111(1983).
[9] A. J. Lichtenberg and Lieberman, Regular and Stochastic Motion, Applied Sciences 38, (Springer-Verlag New York Inc. 1983).
[10] R. Balescu, in Transport Processes in Plasma, (North-Holland, Amsterdam  Oxford  New York  Tokyo, 1988), Vol.2, P.393.
Cite This Article
  • APA Style

    Zhong-Tian Wang, Zhi-Xiong He, Jia-Qi Dong, Zhan-Hui Wang, Shao-Yong Chen, et al. (2014). Diffusivity Scaling on Shear Flow. American Journal of Modern Physics, 3(5), 202-206. https://doi.org/10.11648/j.ajmp.20140305.12

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    ACS Style

    Zhong-Tian Wang; Zhi-Xiong He; Jia-Qi Dong; Zhan-Hui Wang; Shao-Yong Chen, et al. Diffusivity Scaling on Shear Flow. Am. J. Mod. Phys. 2014, 3(5), 202-206. doi: 10.11648/j.ajmp.20140305.12

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    AMA Style

    Zhong-Tian Wang, Zhi-Xiong He, Jia-Qi Dong, Zhan-Hui Wang, Shao-Yong Chen, et al. Diffusivity Scaling on Shear Flow. Am J Mod Phys. 2014;3(5):202-206. doi: 10.11648/j.ajmp.20140305.12

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  • @article{10.11648/j.ajmp.20140305.12,
      author = {Zhong-Tian Wang and Zhi-Xiong He and Jia-Qi Dong and Zhan-Hui Wang and Shao-Yong Chen and Chang-Jian Tang},
      title = {Diffusivity Scaling on Shear Flow},
      journal = {American Journal of Modern Physics},
      volume = {3},
      number = {5},
      pages = {202-206},
      doi = {10.11648/j.ajmp.20140305.12},
      url = {https://doi.org/10.11648/j.ajmp.20140305.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20140305.12},
      abstract = {Diffusivity scaling on shear flow is investigated. Radial electrical field is the drive of the flow. The turning points of the trapped particle are not on the drift surface, but modified by the radial electrical field. For the first time, an analytical expression of the banana width in presence of shear flow is accurately derived. The particle diffusivity given by Rosenbluth is reproduced but with the shear flow modification.},
     year = {2014}
    }
    

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    T1  - Diffusivity Scaling on Shear Flow
    AU  - Zhong-Tian Wang
    AU  - Zhi-Xiong He
    AU  - Jia-Qi Dong
    AU  - Zhan-Hui Wang
    AU  - Shao-Yong Chen
    AU  - Chang-Jian Tang
    Y1  - 2014/09/30
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    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
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    EP  - 206
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20140305.12
    AB  - Diffusivity scaling on shear flow is investigated. Radial electrical field is the drive of the flow. The turning points of the trapped particle are not on the drift surface, but modified by the radial electrical field. For the first time, an analytical expression of the banana width in presence of shear flow is accurately derived. The particle diffusivity given by Rosenbluth is reproduced but with the shear flow modification.
    VL  - 3
    IS  - 5
    ER  - 

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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

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

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

  • Section