中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1399-1404.doi: 10.1088/1009-1963/16/5/038

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Tokamak resistive magnetohydrodynamic ballooning instability in the negative shear regime

石秉仁, 林建龙, 李继全   

  1. Southwestern Institute of Physics, Chengdu 610041, China
  • 收稿日期:2006-07-28 修回日期:2006-11-30 出版日期:2007-05-20 发布日期:2007-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10375018 and 10575032).

Tokamak resistive magnetohydrodynamic ballooning instability in the negative shear regime

Shi Bing-Ren(石秉仁)†, Lin Jian-Long(林建龙), and Li Ji-Quan(李继全)   

  1. Southwestern Institute of Physics, Chengdu 610041, China
  • Received:2006-07-28 Revised:2006-11-30 Online:2007-05-20 Published:2007-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10375018 and 10575032).

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摘要： Improved confinement of tokamak plasma with central negative shear is checked against the resistive ballooning mode. In the negative shear regime, the plasma is always unstable for purely growing resistive ballooning mode. For a simplest tokamak equilibrium model, the s--α model, characteristics of this kind of instability are fully clarified by numerically solving the high n resistive magnetohydrodynamic ballooning eigen-equation. Dependences of the growth rate on the resistivity, the absolute shear value, the pressure gradient are scanned in detail. It is found that the growth rate is a monotonically increasing function of α while it is not sensitive to the changes of the shear s, the initial phase \ta0 and the resistivity parameter \vaR.

关键词: negative shear, resistive ballooning instability

Abstract: Iproved confinement of tokamak plasma with central negative shear is checked against the resistive ballooning mode. In the negative shear regime, the plasma is always unstable for purely growing resistive ballooning mode. For a simplest tokamak equilibrium model, the $s-\alpha$ model, characteristics of this kind of instability are fully clarified by numerically solving the high n resistive magnetohydrodynamic ballooning eigen-equation. Dependences of the growth rate on the resistivity, the absolute shear value, the pressure gradient are scanned in detail. It is found that the growth rate is a monotonically increasing function of $\alpha$ while it is not sensitive to the changes of the shear s, the initial phase $\theta_0$ and the resistivity parameter $\varepsilon_{\rm R}$.

Key words: negative shear, resistive ballooning instability

中图分类号:  (Tokamaks, spherical tokamaks)

  • 52.55.Fa
52.25.Fi (Transport properties) 52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)) 52.55.Tn (Ideal and resistive MHD modes; kinetic modes)