Derive the dispersion relation 2 (k) for axisymmetric perturbations of the -pinch configuration when the magnetic
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Derive the dispersion relation ω2(k) for axisymmetric perturbations of the Θ-pinch configuration when the magnetic field is confined to the cylinder’s exterior, and conclude from it that the Θ-pinch is stable against axisymmetric perturbations. Repeat your analysis for a general, variable separated perturbation of the form ξ ∝ ei(mθ+kz−ωt), and thereby conclude that the Θ-pinch is fully MHD stable.
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Related Book For
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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