Analysis of MHD instabilities by asymptotic methods: WKB expansion

Brunello Tirozzi, Camillo Tassi, Paolo Buratti

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The m = 1 resistive mode for a tokamak plasma with large aspect ratio is considered: the dynamic equations in a resistive layer are solved by means of an asymptotic expansion for values of the growth rate in a suitable range. The eigenvalues characterizing the perturbation are found by means of a series expansion and it is shown that the main contribution to the expression of the eigenvalues is given by the first and the second order of this expansion. This method is different from the one used in the paper [G. Ara et al., Ann. Phys. 112, 443 (1978)], and can be applied in more general situations.
Original languageEnglish
Article number68
Pages (from-to)-
JournalEuropean Physical Journal D
Issue number3
Publication statusPublished - 29 Mar 2016
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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