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arXiv 1208.4529astro-ph.SRphysics.plasm-ph
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驱动大型发电机所需的动力螺旋度

The kinetic helicity needed to drive large-scale dynamos

Simon Candelaresi, Axel Brandenburg

摘要:

当湍流是螺旋形的并且如果畴足够大以使$α$效应支配湍流扩散时,已知通过所谓的$α$效应可以在与湍流涡旋的尺度相比更大的尺度上产生磁场。使用三维湍流模拟,我们表明,所产生的平均磁场的饱和状态的能量与归一化螺旋度的产品和域尺度的比值,以涡尺度线性增加,提供这个产品超过一个临界值的团结。这意味着,大规模的发电机行动开始时,归一化的螺旋度大于反尺度比。我们的研究结果表明,小规模发电机行动的出现并没有任何显着的影响,大规模发电机。Pietarila Graham等人(2012,Phys. Rev. E85,066406)最近发现的较小的最小螺旋度可能是由于在大磁雷诺数下小尺度发电机作用的开始而引起的伪影。然而,当动力学螺旋度很小时,大规模发电机作用的开始是难以建立的。他们使用了具有时间相关相位的ABC流,而不是随机强迫。我们表明,这种发电机饱和过早的方式,让人想起内部磁螺旋通量的非均匀发电机。此外,即使对于非常低的分数螺旋度,这样的发电机显示大规模的领域,改变方向,这是不典型的湍流发电机。

英文摘要:

Magnetic field generation on scales large compared with the scale of the turbulent eddies is known to be possible via the so-called $α$ effect when the turbulence is helical and if the domain is large enough for the $α$ effect to dominate over turbulent diffusion. Using three-dimensional turbulence simulations, we show that the energy of the resulting mean magnetic field of the saturated state increases linearly with the product of normalized helicity and the ratio of domain scale to eddy scale, provided this product exceeds a critical value of around unity. This implies that large-scale dynamo action commences when the normalized helicity is larger than the inverse scale ratio. Our results show that the emergence of small-scale dynamo action does not have any noticeable effect on the large-scale dynamo. Recent findings by Pietarila Graham et al. (2012, Phys. Rev. E85, 066406) of a smaller minimal helicity may be an artifact due to the onset of small-scale dynamo action at large magnetic Reynolds numbers. However, the onset of large-scale dynamo action is difficult to establish when the kinetic helicity is small. Instead of random forcing, they used an ABC-flow with time-dependent phases. We show that such dynamos saturate prematurely in a way that is reminiscent of inhomogeneous dynamos with internal magnetic helicity fluxes. Furthermore, even for very low fractional helicities, such dynamos display large-scale fields that change direction, which is uncharacteristic of turbulent dynamos.

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