Spontaneous magnetic field multipolar structure in toroidal plasmas based on 2D equilibrium

Liuxiu HE (何柳秀); Minghai LIU (刘明海); Shuangyun ZHAO (赵双云)

doi:10.1088/2058-6272/aaf78d

Plasma Science and Technology > 2019 > 21(4): 45101-045101. > DOI: 10.1088/2058-6272/aaf78d

Liuxiu HE (何柳秀), Minghai LIU (刘明海), Shuangyun ZHAO (赵双云). Spontaneous magnetic field multipolar structure in toroidal plasmas based on 2D equilibrium[J]. Plasma Science and Technology, 2019, 21(4): 45101-045101. DOI: 10.1088/2058-6272/aaf78d

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Spontaneous magnetic field multipolar structure in toroidal plasmas based on 2D equilibrium

¹ School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China
² State Key Laboratory of Advanced Electromagnetic Engineering and Technology, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China
³ School of Electrical and Electric Engineering, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China

Funds: The corresponding author gratefully acknowledges financial support from National Natural Science Foundation of China (No. 11575066) and Domestic ITER Project (No. 2009GB105003).

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Received Date: April 02, 2018

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Abstract

Abstract

The multipolar magnetic field structure is investigated by the momentum conservation equation with self-consistent 3D sheared flows during transition of plasma properties from local paramagnetic to diamagnetic fields. Numerical results show that the traditional poloidal magnetic field (B_P) is one part of equilibrium magnetic fields. The non-zero-order quantities are originated from the higher-order terms of 2D equilibrium treatment based on a Fourier expansion of ψ (r, θ). The distributions of magnetic field vectors of the order of 1, 2, and 3 terms are presented respectively in two, four, and six polar fields with the local vortex structures (spontaneous magnetic connection). The excitation mechanisms of the magnetic vortices are the coupling effects of the magnetic fluid structure pattern and the toroidal effects. These results can help us understand the physical mechanism of the interaction between the external perturbation fields and control tearing modes, as well as the radial plasma flow and magnetic vortices.
- magnetic field configuration,
- vortex structure,
- multipolar field

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References (32)

References

[1]	Wagner F 1997 Plasma Phys. Control. Fusion 39 A23
[2]	Yu Q Q 1995 Chin. Sci. Bull. 40 510 (in Chinese)
[3]	Zohma H et al 1999 Nucl. Fusion 39 577
[4]	Kobayashi M et al 2000 Nucl. Fusion 40 181
[5]	De Bock M F M et al 2008 Nucl. Fusion 48 015007
[6]	Rao B et al 2013 Phys. Lett. A 377 315
[7]	Wang N C et al 2014 Nucl. Fusion 54 064014
[8]	Rao B et al 2013 Plasma Phys. Control. Fusion 55 122001
[9]	Yu Q Q and Günter S 1998 Plasma Phys. Control. Fusion 40 1989
[10]	Hu Q M et al 2012 Nucl. Fusion 52 083011
[11]	Hu Q M et al 2016 Nucl. Fusion 56 092009
[12]	Lin Z et al 1998 Science 281 1835
[13]	Shi B R 2011 Nucl. Fusion 51 023004
[14]	Bae C et al 2013 Nucl. Fusion 53 043011
[15]	Xiong H et al 2015 Chin. Phys. B 24 095202
[16]	Moore T W, Nykyri K and Dimmock A P 2016 Nat. Phys. 12 1164
[17]	Chernousenko V M, Chernenko I V and Chernyshenko S V 1988 Phys. Scr. 38 721
[18]	Faganello M, Califano F and Pegoraro F 2009 New J. Phys. 11 063008
[19]	Jovanovi? D and Shukla P K 2001 Phys. Scr. 2001 49
[20]	Wang G, Chen Y H and Tan L W 2005 Plasma Sci. Technol. 7 2936
[21]	Piel A 2016 Plasma Phys. Control. Fusion 59 014001
[22]	Winterberg F 1999 Nucl. Fusion 39 933
[23]	Throumoulopoulos G N, Tasso H and Poulipoulis G 2009 J. Phys. A: Math. Theoret. 42 335501
[24]	Vianello N et al 2010 Nucl. Fusion 50 042002
[25]	Liu M H 2013 Plasma equilibrium and its self-consistent flow field 16nd National Conf. on Plasma Science and Technology (Shanghai, China, August 2013)
[26]	Liu Y Q and Sun Y W 2013 Phys. Plasmas 20 022505
[27]	Barba L A 2006 Phys. Rev. E 73 065303
[28]	de Andrade L C 2006 Phys. Scr. 73 484
[29]	Wang W, Nicolleau F C and Qin N 2016 Fluid Dyn. Res. 48 021408
[30]	Liu S D and Liu S S 1994 Solitons and Turbulent Flows (Shanghai: Shanghai Science and Education Press) (in Chinese)
[31]	Rempel E L, Chian A C L and Brandenburg A 2012 Phys. Scr. 86 018405
[32]	Hu X W 2006 Base of Plasma Theory (Beijing: Peking University Press) (in Chinese)

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