### 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 language | English (US) |
---|---|

Pages (from-to) | 396-405 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 25 |

Issue number | 2 |

State | Published - 1984 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*25*(2), 396-405.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 25, no. 2, pp. 396-405.

}

TY - JOUR

T1 - The ballooning spectrum of rotating plasmas

AU - Hameiri, Eliezer

AU - Laurence, Peter

PY - 1984

Y1 - 1984

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=2742533466&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2742533466&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:2742533466

VL - 25

SP - 396

EP - 405

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 2

ER -