The nonlinear evolution of the resistive tearing mode exhibits an abrupt growth after an X-point collapse once the magnetic island exceeds a certain critical width for large instability parameter , leading to a current sheet formation [N. F. Loureiro et al., Phys. Rev. Lett. 95, 235003 (2005)]. In this work, we investigate the underlying mechanism of the X-point collapse as well as the current sheet formation including the viscosity effects, based on a secondary instability analysis. The secondary instability is excited due to the quasilinear current modification by the zonal current. In particular, it is identified that the current peaking effect is plausibly responsible for the onset of the X-point collapse and the current sheet formation, leading to the explosive growth of reconnected flux. In the presence of finite viscosity, the scaling with the resistivity gets modified. A transition behavior is revealed at for the viscosity dependence of and the linear tearing instability. However, the explosive growth seems to be independent of the viscosity in the magnetic Prandtl number regime, while large viscosity plays a strong dissipation role.
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May 2014
Research Article|
May 30 2014
On the abrupt growth dynamics of nonlinear resistive tearing mode and the viscosity effects
A. Ali;
A. Ali
1Graduate School of Energy Science,
Kyoto University
, Gokasho, Uji, Kyoto 611-0011, Japan
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Jiquan Li;
Jiquan Li
a)
1Graduate School of Energy Science,
Kyoto University
, Gokasho, Uji, Kyoto 611-0011, Japan
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Y. Kishimoto
Y. Kishimoto
1Graduate School of Energy Science,
Kyoto University
, Gokasho, Uji, Kyoto 611-0011, Japan
2Institute of Advanced Energy,
Kyoto University
, Gokasho, Uji, Kyoto 611-0011, Japan
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
Phys. Plasmas 21, 052312 (2014)
Article history
Received:
March 04 2014
Accepted:
May 19 2014
Citation
A. Ali, Jiquan Li, Y. Kishimoto; On the abrupt growth dynamics of nonlinear resistive tearing mode and the viscosity effects. Phys. Plasmas 1 May 2014; 21 (5): 052312. https://doi.org/10.1063/1.4881464
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