Tokamak resistive magnetohydrodynamic ballooning instability in the negative shear regime

doi:10.1088/1009-1963/16/5/038

Abstract

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 $\varepsilon_{\rm R}$.

Keywords: negative shear resistive ballooning instability

Received: 28 July 2006
Revised: 30 November 2006
Accepted manuscript online:

PACS:	52.55.Fa	(Tokamaks, spherical tokamaks)
	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)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10375018 and 10575032).

Cite this article:

Shi Bing-Ren(石秉仁), Lin Jian-Long(林建龙), and Li Ji-Quan(李继全) Tokamak resistive magnetohydrodynamic ballooning instability in the negative shear regime 2007 Chinese Physics 16 1399

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Tokamak resistive magnetohydrodynamic ballooning instability in the negative shear regime

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