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arXiv 0907.3820astro-ph.SR
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磁性编织与准分界线层

Magnetic Braiding and Quasi-Separatrix Layers

A. L. Wilmot-Smith, G. Hornig, D. I. Pontin

摘要:

挤压因子Q(Titov等人,2002)是磁场映射的一个特性,被认为是天体物理等离子体中电流片形成和随后磁重联的一个指标。在这里,我们测试这一假设的一个特定类别的编织磁场,作为一个模型的太阳日冕环。我们探讨准分界层(QSL),即具有高Q值的层状结构,电流和集成的并联电流之间的关系,后者是一个量密切相关的重联率。结果表明,随着磁场编织程度的增加,Q值的最大值呈指数增长。同时,Q值的分布变得越来越具有规律性,高Q层的宽度呈指数减小。这伴随着层数的增加,使得随着场越来越多地编织,体积变得被无数薄QSL占据。QSL没有被发现是很好的预测目前的功能,在这一类的编织领域。事实上,尽管存在多个QSL,但在理想松弛下,与场相关的电流保持平滑和大规模;场动态地调整到平滑平衡。高Q值的区域被发现是更好地相关的区域的高集成的并联电流比实际的电流片。

英文摘要:

The squashing factor Q (Titov et al. 2002), a property of the magnetic field line mapping, has been suggested as an indicator for the formation of current sheets, and subsequently magnetic reconnection, in astrophysical plasmas. Here we test this hypothesis for a particular class of braided magnetic fields which serve as a model for solar coronal loops. We explore the relationship between Quasi-Separatrix Layers (QSLs), that is, layer-like structures with high Q value, electric currents and integrated parallel currents, the latter being a quantity closely related to the reconnection rate. It is found that as the degree of braiding of the magnetic field is increased the maximum values of Q increase exponentially. At the same time, the distribution of Q becomes increasingly filamentary, with the width of the high-Q layers exponentially decreasing. This is accompanied by an increase in the number of layers so that as the field is increasingly braided the volume becomes occupied by a myriad of thin QSLs. QSLs are not found to be good predictors of current features in this class of braided fields. Indeed, despite the presence of multiple QSLs, the current associated with the field remains smooth and large-scale under ideal relaxation; the field dynamically adjusts to a smooth equilibrium. Regions of high Q are found to be better related to regions of high integrated parallel current than to actual current sheets.

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