The equilibrium and stability of rotating plasmas

Eliezer Hameiri

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)230-237
Number of pages8
JournalPhysics of Fluids
Volume26
Issue number1
StatePublished - 1983

Fingerprint

rotating plasmas
Plasmas
elliptic differential equations
Magnetic fields
Fluxes
parallel flow
Parallel flow
continuous spectra
configurations
cusps
magnetic fields
partial differential equations
Partial differential equations
Mirrors
derivation
velocity distribution
mirrors

ASJC Scopus subject areas

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

Cite this

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

In: Physics of Fluids, Vol. 26, No. 1, 1983, p. 230-237.

Research output: Contribution to journalArticle

Hameiri, E 1983, 'The equilibrium and stability of rotating plasmas', Physics of Fluids, vol. 26, no. 1, pp. 230-237.
Hameiri, Eliezer. / The equilibrium and stability of rotating plasmas. In: Physics of Fluids. 1983 ; Vol. 26, No. 1. pp. 230-237.
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