Finite Larmor radius effects on the stability properties of internal modes of a Z-pinch

From the Vlasov-fluid model a set of approximate stability equations describing the stability of a cylindrically symmetric z-pinch is derived. The equations are derived in the limit of small gyroradius and include first order kinetic effects such as finite ion Larmor radius effects and resonant ion...

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Bibliographic Details
Published in:Physica scripta 1988-01, Vol.37 (1), p.117-130
Main Author: AKERSTEDT, H. O
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Fluid Mechanics
Magnetic confinement and equilibrium
Other techniques and industries
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Strömningslära
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Summary:From the Vlasov-fluid model a set of approximate stability equations describing the stability of a cylindrically symmetric z-pinch is derived. The equations are derived in the limit of small gyroradius and include first order kinetic effects such as finite ion Larmor radius effects and resonant ion effects. Neglecting the resonant ion terms, the author explicitly solve this set of equations for a constant current density profile leading to a dispersion relation. FLR effects are shown for the case of m = 1 internal mode to be stabilizing and for large wavenumbers k, using a trial function approach, absolute stabilization is found.
ISSN:1402-4896
0031-8949
1402-4896
DOI:10.1088/0031-8949/37/1/017