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arXiv 0902.2394astro-ph.SR
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吉泽效应在Archontis发电机中的作用

The role of the Yoshizawa effect in the Archontis dynamo

Sharanya Sur, Axel Brandenburg

摘要:

平均磁场的产生研究了一个简单的非螺旋流的净交叉螺旋度的任何符号可以出现。这个流,也被称为Archontis流,是Arnold-Beltrami-Childress流的推广,但省略了余弦项。交叉螺旋度的存在导致了平均场发电机效应,称为吉泽效应。这种流动的直接数值模拟证明了磁场的存在,其尺度大于流动的尺度。与先前的预期相反,发现吉泽效应与平均磁场成比例,因此可以导致其指数而不是线性放大的磁雷诺数超过一定的临界值。不同于$α$效应发电机,它被发现,吉泽效应是不明显的约束存在的守恒定律。有人认为,这是由于在动量方程中的强迫项的存在,导致一个非零的相关性与磁场。最后讨论了该方法在太阳风湍流能量会聚中的应用。

英文摘要:

The generation of mean magnetic fields is studied for a simple non-helical flow where a net cross helicity of either sign can emerge. This flow, which is also known as the Archontis flow, is a generalization of the Arnold--Beltrami--Childress flow, but with the cosine terms omitted. The presence of cross helicity leads to a mean-field dynamo effect that is known as the Yoshizawa effect. Direct numerical simulations of such flows demonstrate the presence of magnetic fields on scales larger than the scale of the flow. Contrary to earlier expectations, the Yoshizawa effect is found to be proportional to the mean magnetic field and can therefore lead to its exponential instead of just linear amplification for magnetic Reynolds numbers that exceed a certain critical value. Unlike $α$ effect dynamos, it is found that the Yoshizawa effect is not noticeably constrained by the presence of a conservation law. It is argued that this is due to the presence of a forcing term in the momentum equation which leads to a nonzero correlation with the magnetic field. Finally, the application to energy convergence in solar wind turbulence is discussed.

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