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arXiv 1202.4666astro-ph.SRastro-ph.EP
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全球直接数值模拟中的偶极子坍缩和发电机波

Dipole Collapse and Dynamo Waves in Global Direct Numerical Simulations

Martin Schrinner, Ludovic Petitdemange, Emmanuel Dormy

摘要:

低质量恒星和行星的磁场被认为起源于其对流内部的自激发电机作用。观测揭示了各种各样的场拓扑结构,从大规模的轴向偶极子到更有结构的磁场。在这篇文章中,我们调查了70多个三维,自洽发电机模型直接数值模拟。控制参数,纵横比和机械边界条件已被改变,以建立这个样本的模型。得到了强偶极和多极模型。我们发现,这些发电机制度一般可以区分一个典型的对流长度尺度的Rossby半径的比率。如果对流长度尺度至少比Rossby半径大一个数量级,则获得了具有主要偶极磁场的模型。此外,我们强调了与地转纬向流模型与无应力边界条件的强切变的作用。在这种情况下,上述过渡消失,取而代之的是一个双稳态的区域,其中偶极和多极发电机共存。我们解释我们的结果在发电机本征模使用所谓的测试场方法。因此,我们可以表明,在偶极制度的模型的特点是由一个孤立的“单模”。随着多极发电机的边界越来越近,竞争的弦外之音变得越来越重要。我们将讨论这些发现如何与以前的模型和观察。

英文摘要:

Magnetic fields of low-mass stars and planets are thought to originate from self-excited dynamo action in their convective interiors. Observations reveal a variety of field topologies ranging from large-scale, axial dipole to more structured magnetic fields. In this article, we investigate more than 70 three-dimensional, self-consistent dynamo models obtained by direct numerical simulations. The control parameters, the aspect ratio and the mechanical boundary conditions have been varied to build up this sample of models. Both, strongly dipolar and multipolar models have been obtained. We show that these dynamo regimes can in general be distinguished by the ratio of a typical convective length scale to the Rossby radius. Models with a predominantly dipolar magnetic field were obtained, if the convective length scale is at least an order of magnitude larger than the Rossby radius. Moreover, we highlight the role of the strong shear associated with the geostrophic zonal flow for models with stress-free boundary conditions. In this case, the above transition disappears and is replaced by a region of bistability for which dipolar and multipolar dynamos co-exist. We interpret our results in terms of dynamo eigenmodes using the so-called test-field method. We can thus show that models in the dipolar regime are characterized by an isolated 'single mode'. Competing overtones become significant as the boundary to multipolar dynamos is approached. We discuss how these findings relate to previous models and to observations.

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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