The ballooning spectrum of rotating plasmas

Eliezer Hameiri, Peter Laurence

Research output: Contribution to journalArticle

Abstract

Ballooning modes are shown to be part of the spectrum by using a "singular sequence" of localized modes. We show that the modes arise from Alfven and slow magnetosonic waves propagating along rays confined inside the plasma. Different ballooning modes are seen, depending on the particular rotating frame of observation, indicating that there are accumulation points of eigenvalues. The effect of rigidly rotating flow is seen to be destabilizing due to an analog of the Rayleigh-Taylor instability associated with density gradients in the presence of a centrifugal force. Flow shear also modifies the stability criterion. A certain component of the flow shear will eliminate the ballooning modes.

Original languageEnglish (US)
Pages (from-to)396-405
Number of pages10
JournalJournal of Mathematical Physics
Volume25
Issue number2
StatePublished - 1984

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rotating plasmas
ballooning modes
Shear flow
Shear Flow
Rotating
Plasma
Rotating Flow
Plasmas
shear flow
Centrifugal Force
Accumulation point
Stability criteria
Stability Criteria
Rayleigh
Half line
centrifugal force
Eliminate
Taylor instability
Gradient
Analogue

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Hameiri, E., & Laurence, P. (1984). The ballooning spectrum of rotating plasmas. Journal of Mathematical Physics, 25(2), 396-405.

The ballooning spectrum of rotating plasmas. / Hameiri, Eliezer; Laurence, Peter.

In: Journal of Mathematical Physics, Vol. 25, No. 2, 1984, p. 396-405.

Research output: Contribution to journalArticle

Hameiri, E & Laurence, P 1984, 'The ballooning spectrum of rotating plasmas', Journal of Mathematical Physics, vol. 25, no. 2, pp. 396-405.
Hameiri, Eliezer ; Laurence, Peter. / The ballooning spectrum of rotating plasmas. In: Journal of Mathematical Physics. 1984 ; Vol. 25, No. 2. pp. 396-405.
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