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Quasilinear perturbed equilibria of resistively unstable current carrying plasma

Part of: PLA Tribute to V D Shafranov: 1929-2014 Focus on Fusion

Published online by Cambridge University Press:  02 November 2015

Di Hu  and
Leonid E. Zakharov
Di Hu
Affiliation:
School of Physics, Peking University, No. 209 Chengfu Rd., Haidian District, Beijing 100871, China
Leonid E. Zakharov*
Affiliation:
LiWFusion, PO Box 2391, Princeton, NJ 08543, USA
*
†Email address for correspondence: lzakharov@comcast.net
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Abstract

A formalism for consideration of island formation is presented using a model of a cylindrical resistively unstable plasma. Both current and pressure driven island formation at resonant surfaces are considered. The proposed formalism of perturbed equilibria avoids problems typical for linear analysis of resistive magneto-hydrodynamic instabilities related to extraction of the so-called small solution near the resonant surfaces. The matching technique of this paper is not sensitive to configuration parameters near the resonant surfaces. The comparison of the perturbed equilibrium method with the frequently used quasilinear mode analysis based on a perturbed averaged current density profile shows that the latter is limited in its applicability and underestimates the stability. Presented here for a cylindrical case, the perturbed equilibrium technique can be used in toroidal perturbed equilibrium codes with minor modifications.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 6 , December 2015 , 515810602
Copyright
© Cambridge University Press 2015 

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