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.
Published in | American Journal of Modern Physics (Volume 3, Issue 5) |
DOI | 10.11648/j.ajmp.20140305.12 |
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), 2014. Published by Science Publishing Group |
Tokamak Plasma, Diffusivity Scaling, Shear Flow, Trapped Particle, Guiding-Center
[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. |
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
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
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
@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://article.sciencepublishinggroup.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} }
TY - JOUR 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 PY - 2014 N1 - https://doi.org/10.11648/j.ajmp.20140305.12 DO - 10.11648/j.ajmp.20140305.12 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 202 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 -