Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas

William Grossmann, Eliezer Hameiri, Harold Weitzner

Research output: Contribution to journalArticle

Abstract

The linear stability of compact toroids is examined in the magnetohydrodynamic and double adiabatic models. The long-thin approximation in ideal magnetohydrodynamics is used to investigate tilting and shifting modes in field reversed configurations without toroidal fields. A necessary and sufficient condition is obtained and used to show that the combination of flux surface shaping and profile flatness results in stability to a class of transverse modes in a region about the O point. The double adiabatic model yields for general confined plasmas a sufficient condition for stability in the form of six ordinary differential equations along each field line. Further reduction of the condition to a single second-order equation depends on the sign of ∂S/ ∂B, where S(ψ,B)=p B 5/ p⊥ 3 is a combination of the two entropies. Strong stabilizing effects of pressure anisotropy are shown.

Original languageEnglish (US)
Pages (from-to)508-519
Number of pages12
JournalPhysics of Fluids
Volume26
Issue number2
StatePublished - 1983

Fingerprint

toroids
Magnetohydrodynamics
magnetohydrodynamics
Plasmas
flatness
Ordinary differential equations
Anisotropy
differential equations
Entropy
entropy
Fluxes
anisotropy
profiles
configurations
approximation

ASJC Scopus subject areas

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

Cite this

Grossmann, W., Hameiri, E., & Weitzner, H. (1983). Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas. Physics of Fluids, 26(2), 508-519.

Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas. / Grossmann, William; Hameiri, Eliezer; Weitzner, Harold.

In: Physics of Fluids, Vol. 26, No. 2, 1983, p. 508-519.

Research output: Contribution to journalArticle

Grossmann, W, Hameiri, E & Weitzner, H 1983, 'Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas', Physics of Fluids, vol. 26, no. 2, pp. 508-519.
Grossmann, William ; Hameiri, Eliezer ; Weitzner, Harold. / Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas. In: Physics of Fluids. 1983 ; Vol. 26, No. 2. pp. 508-519.
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