On theoretical research for nonlinear tearing mode

Ding LI (李定); Wen YANG (杨文); Huishan CAI (蔡辉山)

doi:10.1088/2058-6272/aabde4

Plasma Science and Technology > 2018 > 20(9): 94002-094002. > DOI: 10.1088/2058-6272/aabde4

Ding LI (李定), Wen YANG (杨文), Huishan CAI (蔡辉山). On theoretical research for nonlinear tearing mode[J]. Plasma Science and Technology, 2018, 20(9): 94002-094002. DOI: 10.1088/2058-6272/aabde4

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On theoretical research for nonlinear tearing mode

1 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 2 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, People’s Republic of China 3 University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China

Funds: This work was supported by National Natural Science Foundation of China, the National Magnetic Confinement Fusion Science Program of China under Grant Nos. 11675257 and 2014GB106004, and the CAS Strategic Priority Research Program, the CAS Key Research Program of Frontier Sci- ence, the CAS External Cooperation Program of CAS under Grant Nos. XDB16010300, QYZDJ-SSW-SYS016 and 112111KYSB20160039.

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Received Date: January 23, 2018

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Abstract

The analytical approaches for nonlinear tearing mode have been reviewed. It is shown that Rutherford’s model has triggered numerous studies on the nonlinear tearing mode. Its physical picture is clear meanwhile its mathematical method is ingenious but still puzzling to understand. It is trying to find how the ‘nonlinear behavior’ resulted from the linear equation by a nonlinear transform. It is indicated that Li’s model for the tearing mode includes the linear growth, Rutherford’s behavior and the new behavior. It was found that the quasilinear modification of magnetic field provided a new damping mechanism for nonlinear growth. The new behavior w ~ t^1/2 becomes dominant if the mode is weakly unstable. It is shown that many analytical methods have been developed to calculate the criterion parameter D¢ of the tearing mode. Li’s instability criterion can cover the previous results in the limit cases.
- tearing mode,
- nonlinear evolution,
- instability criterion

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References

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