等离子体环形发电机与层流等离子体发电机
Plasma torus dynamos versus laminar plasma dynamos
摘要：
早些时候Wang等人[Phys Plasmas（2002）]已经估计了对于${r_{0}}/L\approx{0.6}$的纵横比，在层流等离子体慢发电机模式中$γ=0.055$的磁场的增长率和$51{km}/{s}$的流动电离速度，其中$r_{0}$是内部直圆柱半径，L是等离子体圆柱的长度尺度。在本文中，快速发电机模式弯曲黎曼日光管被激发的等离子体流产生的增长率$γ=0.318$的纵横比为${r_{0}}/L\approx{0.16}$。有趣的是，第一个增长率是在Wang等人的慢发电机中得到的，其中磁Reynolds数为$Re_{m}=210$，而在本文考虑的第二个增长率中，则使用了$Re_{m}\to{\infty}$的极限。通过应用快速发电机极限$lim_{η\to{0}}γ(η)>0$来计算这些增长率$γ$。该极限用于自诱导方程，而不需要求解这些方程来研究流动的快速发电机作用。在这个意义上，快速发电机似乎是由等离子体装置的伸长所激发的，正如Wang小组所建议的那样。管的Frenet曲率由$κ_{0}\approx{0.5 m^{-1}}$给出。建议可以扭曲小的Perm圆环[Dobler等人，Phys Rev E（2003）]，以进一步增强快速发电机效应。通过考虑等离子体环面的稳定性，从一般表达式$γ=0.16ω$和$ω=\frac{2π}{6}$的混沌流的环面振荡中获得了与$γ=1.712$一样高的快速发电机增长率的值。
英文摘要：
Earlier Wang et al [Phys Plasmas (2002)] have estimated a growth rate for the magnetic field of $γ=0.055$ and flow ionization velocity of $51{km}/{s}$ in a laminar plasma slow dynamo mode for aspect ratio of ${r_{0}}/L\approx{0.6}$, where $r_{0}$ is the internal straight cylinder radius, and L is the length scale of the plasma cylinder. In this paper, fast dynamo modes in curved Riemannian heliotron are shown to be excited on a plasma flow yielding a growth rate of $γ=0.318$ for an aspect ratio of ${r_{0}}/L\approx{0.16}$. It is interesting to note that the first growth rate was obtained in the Wang et al slow dynamo, where the magnetic Reynolds number of $Re_{m}=210$, while in the second one considered in this paper one uses the limit of $Re_{m}\to{\infty}$. These growth rates $γ$ are computed by applying the fast dynamo limit $lim_{η\to{0}}γ(η)>0$. This limit is used in the self-induced equation, without the need to solve these equations to investigate the fast dynamo action of the flow. In this sense the fast dynamo seems to be excited by the elongation of the plasma device as suggested by Wang group. The Frenet curvature of the tube is given by $κ_{0}\approx{0.5 m^{-1}}$. It is suggested that the small Perm torus could be twisted [Dobler et al, Phys Rev E (2003)] in order to enhance even more the fast dynamo effect. By considering the stability of the plasma torus one obtains a value for the fast dynamo growth rate as high as $γ=1.712$ from a general expression $γ=0.16ω$ and a toroidal oscillation of a chaotic flow of $ω=\frac{2π}{6}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
