Variational principles for equilibrium states with plasma flow

Eliezer Hameiri

Research output: Contribution to journalArticle

Abstract

A new constant of the motion is utilized to formulate a variational principle for plasma equilibria with general flow fields. Two additional variational principles are derived from the original one. None of these formulations leads to a stability criterion if the velocity is not parallel to the magnetic field since the functionals used, the first of which being the energy, do not possess in this case a minimum but only stationary points. It is shown that other stability criteria already reported in the literature also suffer from the same deficiency. It is suggested that the lack of a minimum is due to the presence of ballooning modes.

Original languageEnglish (US)
Pages (from-to)3270-3281
Number of pages12
JournalPhysics of Plasmas
Volume5
Issue number9
StatePublished - 1998

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magnetohydrodynamic flow
variational principles
ballooning modes
plasma equilibrium
functionals
flow distribution
formulations
magnetic fields
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Variational principles for equilibrium states with plasma flow. / Hameiri, Eliezer.

In: Physics of Plasmas, Vol. 5, No. 9, 1998, p. 3270-3281.

Research output: Contribution to journalArticle

Hameiri, Eliezer. / Variational principles for equilibrium states with plasma flow. In: Physics of Plasmas. 1998 ; Vol. 5, No. 9. pp. 3270-3281.
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