### Abstract

It is shown that the conservation of flow circulation along magnetic field lines can be used to improve on the δW stability criterion for rotating plasmas by adding to the energy integral a positive definite term. The improvement is most effective for ballooning modes in systems with a closed-line magnetic field. Such systems are investigated, both when the flow is sheared and when it is unsheared. In the unsheared case, instabilities grow exponentially in time, while, if the flow is sheared, an instability eventually saturates. The time-asymptotic behavior of such solutions is obtained and is different from the asymptotic behavior when the magnetic field is sheared.

Original language | English (US) |
---|---|

Pages (from-to) | 3807-3813 |

Number of pages | 7 |

Journal | Physics of Plasmas |

Volume | 1 |

Issue number | 12 |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*1*(12), 3807-3813.

**Improved stability condition for rotating plasmas.** / Hameiri, Eliezer; Holties, Hanno A.

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 1, no. 12, pp. 3807-3813.

}

TY - JOUR

T1 - Improved stability condition for rotating plasmas

AU - Hameiri, Eliezer

AU - Holties, Hanno A.

PY - 1994

Y1 - 1994

N2 - It is shown that the conservation of flow circulation along magnetic field lines can be used to improve on the δW stability criterion for rotating plasmas by adding to the energy integral a positive definite term. The improvement is most effective for ballooning modes in systems with a closed-line magnetic field. Such systems are investigated, both when the flow is sheared and when it is unsheared. In the unsheared case, instabilities grow exponentially in time, while, if the flow is sheared, an instability eventually saturates. The time-asymptotic behavior of such solutions is obtained and is different from the asymptotic behavior when the magnetic field is sheared.

AB - It is shown that the conservation of flow circulation along magnetic field lines can be used to improve on the δW stability criterion for rotating plasmas by adding to the energy integral a positive definite term. The improvement is most effective for ballooning modes in systems with a closed-line magnetic field. Such systems are investigated, both when the flow is sheared and when it is unsheared. In the unsheared case, instabilities grow exponentially in time, while, if the flow is sheared, an instability eventually saturates. The time-asymptotic behavior of such solutions is obtained and is different from the asymptotic behavior when the magnetic field is sheared.

UR - http://www.scopus.com/inward/record.url?scp=0009323235&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009323235&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0009323235

VL - 1

SP - 3807

EP - 3813

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 12

ER -