Multipole Stabilization of Rotational Instability in a Theta Pinch I

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概要

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• Theoretical analysis based on MHD approximation is carried out on the effect of multipole field to suppress the rotational instabilities excited in a high β plasma column. The multipole field is assumed not to penetrate into the plasma column but to exert the magnetic pressure on its boundary surface so as to suppress the distortion of the plasma column. The analytical theory taking into account only the effects of the fundamental wave gives the stability criterion for the n=2 mode as B_s≥B_<s, c>=1/2(m-1)^<-1/2>r_s|Ω|(μ_0ρ_0)^<1/2>, where r_s, ρ_0 and Ω are the radius, mass density and rotational angular velocity of the plasma column, respectively, 2m the order of the multipole field, B_s the field strength at radius r_s in vacuum state, and μ_0 the permeability of vacuum. The numerical calculation including the effects of the waves parasitic to the fundamental wave supports the stability criterion for hexapole (m=3) and octopole (m=4) fields. For quadrupole (m=2) field, it shows that the stable range of B_s is limited between 0.841 B_<s, c> and 0.856 B_<s, c> where B_<s, c> is the analytical threshold for m=2.

• 核融合科学研究所の論文

著者

• Ishimura Tsutomu

  Research Information Center Institute Of Plasma Physics Nagoya University:plasma Physics Lab. Facult

関連論文

• Multipole Stabilization of Rotational Instability in a Theta Pinch I

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