Variational principles for equilibrium states with plasma flow

Eliezer Hameiri

Research output: Contribution to journalArticlepeer-review


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
Issue number9
StatePublished - 1998

ASJC Scopus subject areas

  • Condensed Matter Physics


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