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arXiv 1802.04231astro-ph.SR
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球平均场发电机中的强非定域性变化

Strong nonlocality variations in a spherical mean-field dynamo

A. Brandenburg, P. Chatterjee

摘要:

为了解释太阳和其他天体的大尺度磁场,通常应用平均场发电机理论,其中求解平均磁场的平均方程。然而,当湍流涡旋的尺度变得与平均磁场的变化尺度相当时,标准方法就失效了。因此,显示尖锐磁场结构的模型被认为是不可靠的。我们的目的是寻找新的影响,发生时,我们放松了标准方法的限制,这变得特别重要,在底部的对流区的湍流漩涡的大小是可比的对流区本身的深度。我们近似的基本积分微分方程的偏微分方程对应的反应扩散型方程的平均电动势,使一种方法,是非本地的空间和时间可行的条件下,球面几何和非线性。与先前的研究结果一致,时空非局部性降低了发电机的激发条件。现在发现没有尖锐的结构。然而,在表层中,场仍然与以前类似。

英文摘要:

To explain the large-scale magnetic field of the Sun and other bodies, mean-field dynamo theory is commonly applied where one solves the averaged equations for the mean magnetic field. However, the standard approach breaks down when the scale of the turbulent eddies becomes comparable to the scale of the variations of the mean magnetic field. Models showing sharp magnetic field structures have therefore been regarded as unreliable. Our aim is to look for new effects that occur when we relax the restrictions of the standard approach, which becomes particularly important at the bottom of the convection zone where the size of the turbulent eddies is comparable to the depth of the convection zone itself. We approximate the underlying integro-differential equation by a partial differential equation corresponding to a reaction-diffusion type equation for the mean electromotive force, making an approach that is nonlocal in space and time feasible under conditions where spherical geometry and nonlinearity are included. In agreement with earlier findings, spatio-temporal nonlocality lowers the excitation conditions of the dynamo. Sharp structures are now found to be absent. However, in the surface layers the field remains similar to before.

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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