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Finite-β stabilization of a diffuse helical ℓ = 1 MHD equilibrium

F. Herrnegger, J. Nührenberg1975年被引用 7Nuclear FusionIF 3出版社

The stability of helically symmetric finite-β, ℓ = 1 magnetohydrostatic equilibria with arbitrary pressure profile and vanishing longitudinal current is investigated by means of Mercier's criterion, a sufficient criterion by Lortz, Rebhan and Spies, and Shafranov's condition for a high–β magnetic well. The new finite–β effects are that (1) a magnetic well is created throughout the plasma region for 0.2 ≲ β ≲ 0.95 and 0.3 ≤ aτ ≤ 0.6 (a is the plasma radius, τ the torsion of the magnetic axis); (2) the mean magnetic well extends out into the vacuum region for 0.75 ≲ β and bτ ≲ 0.6 (b is the wall radius); (3) with the exception of a very narrow region (< 0.1 aτ) around the magnetic axis, the Mercier criterion is satisfied for 0.75 ≲ β ≲ 0.95 and 0.12 ≲ aτ ≲ 0.3.

日本語訳

らせん対称な有限β、ℓ = 1 の磁気静水圧平衡(任意の圧力分布とゼロの縦方向電流を持つ)の安定性は、メルシエの判定基準、Lortz, Rebhan, Spies による十分条件、および高β磁気井戸に対するシャフラノフの条件を用いて調査される。新しい有限β効果は以下の通りである。(1) 0.2 ≲ β ≲ 0.95 および 0.3 ≤ aτ ≤ 0.6 の範囲で、プラズマ領域全体に磁気井戸が形成される(ここで a はプラズマ半径、τ は磁気軸のねじれである)。(2) 0.75 ≲ β および bτ ≲ 0.6 の範囲で、平均磁気井戸が真空領域まで広がる(ここで b は壁半径である)。(3) 磁気軸の周囲の非常に狭い領域(< 0.1 aτ)を除いて、0.75 ≲ β ≲ 0.95 および 0.12 ≲ aτ ≲ 0.3 の範囲でメルシエ基準が満たされる。

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Magnetohydrodynamics
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