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Gyrokinetic stability theory of z–pinches
1990 (English)In: Journal of Plasma Physics, ISSN 0022-3778, E-ISSN 1469-7807, Vol. 44, p. 137-149Article in journal (Refereed) Published
Abstract [en]

From the Vlasov-fluid model a set of approximate stability equations describing the stability of the pure z–pinch is derived. The equations are valid for equilibria with small gyroradius compared with the pinch radius, but the perturbation wavenumber k may be of the order of the gyroradius ρi, δ = kρi = 0(1) - so-called gyrokinetic ordering. The equations are used to study the stability of the m = 0 and m = 1 internal modes of the z–pinch. In the limit of zero gyroradius δ → 0 we recover previously obtained results. For δ ≠ 0 we find that increasing δ at first gives a rapidly decreasing growth rate, and for δ ≈ l the growth rate compared with perpendicular MHD is γ/γMHD ≈ 0·09. For larger δ however, the growth rate increases to a quite large value. For the m = O mode we find, provided that drift resonances can be neglected, a stability criterion for δ ≥ 1, which is fulfilled both for the Bennett equilibrium and the constant-current-density equilibrium.

Place, publisher, year, edition, pages
1990. Vol. 44, p. 137-149
National Category
Fluid Mechanics and Acoustics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-6841DOI: 10.1017/S0022377800015063Local ID: 5249ea50-8d66-11de-8da0-000ea68e967bOAI: oai:DiVA.org:ltu-6841DiVA: diva2:979727
Note
Upprättat; 1990; 20090820 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-28Bibliographically approved

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