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arXiv 0710.1992astro-ph
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弱电离介质中的自洽平均场论

Self-consistent Mean Field theory in weakly ionized media

Nicolas Leprovost, Eun-Jin Kim

摘要:

本文提出了弱电离气体中三维发电机和二维湍流扩散的自洽平均场论。我们发现,在3D中,当平均磁场的强度超过一个临界值时,逆反应不改变β效应,而抑制α效应。这些结果表明,平均场发电机在弱电离气体中比在完全电离气体中更有效地工作。此外,我们表明,在2D中,湍流扩散抑制反反应时,平均磁场达到相同的临界强度,与湍流扩散的上限由其运动学值。天体物理的影响进行了讨论。

英文摘要:

We present a self-consistent mean field theory of the dynamo in 3D and turbulent diffusion in 2D in weakly ionized gas. We find that in 3D, the backreaction does not alter the beta effect while it suppresses the alpha effect when the strength of a mean magnetic field exceeds a critical value. These results suggest that a mean field dynamo operates much more efficiently in weakly ionized gas compared to the fully ionized gas. Furthermore, we show that in 2D, the turbulent diffusion is suppressed by back reaction when a mean magnetic field reaches the same critical strength, with the upper bound on turbulent diffusion given by its kinematic value. Astrophysical implications are discussed.

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