Resistive Plasma Rotation and Shock Formation in Toroidal Geometry
Resistive Plasma Rotation and Shock Formation in Toroidal Geometry
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环形几何中的电阻等离子体旋转和激波形成
DOI：
10.1063/1.1693436
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发表时间：
1971
影响因子：
4.6
通讯作者：
M. Rosenbluth
中科院分区：
文献类型：
--
作者：
R. Hazeltine;E. Lee;M. Rosenbluth
通过一个单流体模型研究了环形约束等离子体由于电阻扩散引起的绕磁轴的旋转，在该模型中，唯一的耗散是通过小的标量电阻率发生的。通过考虑电阻率在无耗散稳态上诱导一阶时间变化来检查旋转的时间演化。已知的不稳定性的流量与小的旋转速度迅速加快到临界速度被证实，更重要的是，它被发现，冲击，在临界速度发展稳定的流量，使系统的最终状态的特征在于稳定旋转与一个非常弱的冲击前从磁轴径向向内。在这种状态下，等离子体的向外通量被发现基本上是由纵横比的平方根的因子增强的Pfirsch-Schluter通量。
The rotation of a toroidally confined plasma about its magnetic axis due to resistive diffusion is studied by means of a single fluid model in which the only dissipation occurs through a small scalar resistivity. The time evolution of the rotation is examined by considering the resistivity as inducing first‐order time variation on a dissipationless steady state. The known instability of flows with small rotational velocity to rapidly speed up toward a critical speed is confirmed; more importantly, it is found that a shock which develops at the critical speed stabilizes the flow, so that the ultimate state of the system is characterized by steady rotation with a very weak shock front directed radially inward from the magnetic axis. The outward flux of plasma in this state is found to be essentially the Pfirsch‐Schluter flux enhanced by a factor of the square root of the aspect ratio.