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Numerical study of collisionless q = 1 double tearing instability in a cylindrical plasma

Published online by Cambridge University Press:  03 July 2012

LAI WEI ,
XUEFENG YANG ,
SHU ZHENG  and
YUE LIU
LAI WEI
Affiliation:
Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China ([email protected])
XUEFENG YANG
Affiliation:
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
SHU ZHENG
Affiliation:
Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China ([email protected])
YUE LIU
Affiliation:
Key Laboratory of Materials Modification by Beams of the Ministry of Education, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China ([email protected])
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Abstract

The double tearing mode (DTM) instability with two qs = 1 rational surfaces is investigated by taking into account the collisionless effects, including electron inertia and electron viscosity in a cylindrical geometry. The calculations show that for q-profile with a small distance between two rational surfaces, Δrs, there exists a broad linear spectrum of collisionless DTMs. The collisionless effects not only can significantly increase the linear growth rate of DTMs but can also enlarge the width of spectrum of unstable modes. For the q-profile with fixed Δrs and fixed magnetic shears at two rational surfaces, the high-order harmonics with smaller wavelength, such as the m/n = 2/2, 3/3 and 4/4 modes, can be easily excited to have larger growth rates than the m/n = 1/1 mode by ‘lifting’ the safety factor value between two rational surfaces. The characteristics of eigenmode structures of the most unstable and secondly unstable DTMs with various mode numbers are analyzed in detail and the corresponding collisionless scalings are numerically obtained and verified theoretically based on the previous relevant analytical theories. In addition, the synergetic effects of plasma resistivity, electron inertia and electron viscosity on the linear growth rates of DTMs are analyzed.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 6 , December 2012 , pp. 663 - 672
Copyright
Copyright © Cambridge University Press 2012

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