论文标题

导电室的形状对镜子陷阱中刚性气球模式的稳定性的影响

Influence of the shape of a conducting chamber on the stability of rigid ballooning modes in a mirror trap

论文作者

Kotelnikov, Igor

论文摘要

``刚性''长笛和气球模式的MHD稳定在轴对称的镜子陷阱中,在存在的情况下,在没有完美的侧壁的情况下,在没有端MHD锚固的情况下,通过完美导致的侧壁进行了MHD稳定。通过将中性原子束注射到磁场的最小值以与陷阱轴的直角以最小的角度,对各向异性等离子体进行了数值计算。将导电壳以直圆柱形式的稳定效果与比例室进行比较,该腔室在扩大的尺度上重复了等离子体柱的形状。 可以证实,要有效地固定刚性模式,血浆β($β$,等离子体压力与磁场压力的比率)必须超过一些临界值$β_ {\ text {crit {crit}} $。当进行横向壁与模仿MHD端锚的指导端板结合在一起时,分别有两个关键的β值,并且分别有两个稳定区域$β<β_ {\ text {crit} 1} $和$β>β>β>β>β>β>β_ {\ text {crit} 2} $可以使整个范围$ 0的范围<beet besta <0。 检查了临界β对等离子体各向异性,镜像比以及等离子体和侧壁之间真空间隙的宽度的依赖性。与其他作者的早期作品相反,针对逐步等离子体模型的其他作品,计算了许多具有不同峰值和几个轴向磁场曲线的弥漫性径向压力曲线的稳定性边缘。

The MHD stabilization of ``rigid'' flute and ballooning modes with azimuthal number $m = 1$ in an axisymmetric mirror trap by means of a perfectly conducting lateral wall is studied both in the presence and in the absence of the end MHD anchors. Numerical calculations were carried out for an anisotropic plasma created by injection of a beam of neutral atoms into the minimum of the magnetic field at the right angle to the trap axis. The stabilizing effect of the conducting shell in the form of a straight cylinder is compared with a proportional chamber, which, on an enlarged scale, repeats the shape of the plasma column. It is confirmed that for effective wall stabilization of the rigid modes, the plasma beta ($β$, the ratio of the plasma pressure to the magnetic field pressure) must exceed some critical value $β_{\text{crit}}$. When conducting lateral wall is combined with conducting end plates imitating MHD end anchors, there are two critical beta values and, respectively, two stability zones $β<β_{\text{ crit}1}$ and $β> β_{\text {crit}2}$ that can merge, making the entire range of allowable beta values $0<β<1$ stable. The dependence of the critical betas on the plasma anisotropy, mirror ratio, and the width of the vacuum gap between the plasma and the lateral wall is examined. In contrast to the earlier works of other authors focused on to the stepwise plasma model, the stability margins are calculated for a number of diffuse radial pressure profiles with different peakedness and several axial magnetic field profiles.

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