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arXiv 1608.04692physics.plasm-phastro-ph.HEastro-ph.SRmath-phmath.MP
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等离子体团不稳定性的一般理论

General Theory of the Plasmoid Instability

L. Comisso, M. Lingam, Y. -M. Huang, A. Bhattacharjee

摘要:

利用最小时间原理,给出了等离子体团不稳定性发生和发展的一般理论。最终的纵横比,过渡时间快速发病,增长率,和等离子体团的数量的比例关系的推导,并示出依赖于初始扰动振幅$\left({\hat w}_0\right)$,电流片演变的特征速率$\left(1/τ\right)$,和Lundquist数$\left(S\right)$。它们不是简单的幂律,而是与$S^α τ^β \left[\ln f(S,τ,{\hat w}_0)\right]^σ$成正比。详细的动态的不稳定性也阐明,并示出包括一段时间的静止,然后在短时间尺度上突然增长。

英文摘要:

A general theory of the onset and development of the plasmoid instability is formulated by means of a principle of least time. The scaling relations for the final aspect ratio, transition time to rapid onset, growth rate, and number of plasmoids are derived, and shown to depend on the initial perturbation amplitude $\left({\hat w}_0\right)$, the characteristic rate of current sheet evolution $\left(1/τ\right)$, and the Lundquist number $\left(S\right)$. They are not simple power laws, and are proportional to $S^α τ^β \left[\ln f(S,τ,{\hat w}_0)\right]^σ$. The detailed dynamics of the instability is also elucidated, and shown to comprise of a period of quiescence followed by sudden growth over a short time scale.

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。

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