### Abstract

In a rotating equilibrium state, the velocity and magnetic fields are shown to share the same flux surfaces. A simplified derivation is given of a second-order (not necessarily elliptic) partial differential equation which determines axisymmetric equilibrium states. For general configurations, equations on flux surfaces which determine the Alfvén and cusp continuous spectrum are derived and its stability investigated. These equations are written without the use of any particular coordinate system. Similar equations yield a sufficient condition for global stability of axisymmetric equilibria if the flow is parallel to the magnetic field up to a rigid rotation of the plasma. This condition is also necessary for stability in a mirror configuration with no toroidal field and a pure rigid rotation.

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

Pages (from-to) | 230-237 |

Number of pages | 8 |

Journal | Physics of Fluids |

Volume | 26 |

Issue number | 1 |

State | Published - 1983 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Physics and Astronomy(all)
- Mechanics of Materials
- Computational Mechanics
- Fluid Flow and Transfer Processes

### Cite this

*Physics of Fluids*,

*26*(1), 230-237.

**The equilibrium and stability of rotating plasmas.** / Hameiri, Eliezer.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 26, no. 1, pp. 230-237.

}

TY - JOUR

T1 - The equilibrium and stability of rotating plasmas

AU - Hameiri, Eliezer

PY - 1983

Y1 - 1983

N2 - In a rotating equilibrium state, the velocity and magnetic fields are shown to share the same flux surfaces. A simplified derivation is given of a second-order (not necessarily elliptic) partial differential equation which determines axisymmetric equilibrium states. For general configurations, equations on flux surfaces which determine the Alfvén and cusp continuous spectrum are derived and its stability investigated. These equations are written without the use of any particular coordinate system. Similar equations yield a sufficient condition for global stability of axisymmetric equilibria if the flow is parallel to the magnetic field up to a rigid rotation of the plasma. This condition is also necessary for stability in a mirror configuration with no toroidal field and a pure rigid rotation.

AB - In a rotating equilibrium state, the velocity and magnetic fields are shown to share the same flux surfaces. A simplified derivation is given of a second-order (not necessarily elliptic) partial differential equation which determines axisymmetric equilibrium states. For general configurations, equations on flux surfaces which determine the Alfvén and cusp continuous spectrum are derived and its stability investigated. These equations are written without the use of any particular coordinate system. Similar equations yield a sufficient condition for global stability of axisymmetric equilibria if the flow is parallel to the magnetic field up to a rigid rotation of the plasma. This condition is also necessary for stability in a mirror configuration with no toroidal field and a pure rigid rotation.

UR - http://www.scopus.com/inward/record.url?scp=36749110771&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749110771&partnerID=8YFLogxK

M3 - Article

VL - 26

SP - 230

EP - 237

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 1

ER -