Elliptic-cylindrical Analytical Flux Rope Model for Magnetic Clouds

Elliptic-cylindrical Analytical Flux Rope Model for Magnetic Clouds
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磁云椭圆柱解析磁通绳模型

DOI:
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发表时间:
2018
影响因子:
4.9
通讯作者:
A. Vourlidas
A. Vourlidas
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Nieves;M. Linton;M. Hidalgo;A. Vourlidas

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在本文中,我们提出了椭圆柱分析磁绳模型,它构成了高于圆柱几何形状的第一级复杂性。这一系列模型的框架是由 Nieves-Chinchilla 等人建立的。与圆柱解析磁通绳模型。该模型描述了具有扭曲横截面的磁通绳拓扑,这是磁通绳与太阳风相互作用的可能结果。在该模型中,磁通绳首次完全由非正交几何结构描述。使用张量分析可以一致地求解麦克斯韦方程,并可以导出相关物理量,例如磁通量、匝数或洛伦兹力分布。该模型根据极向和轴向电流密度分量的径向相关性进行了概括。圆柱重建技术已适应模型特定情况的新几何结构,并针对 2005 年 6 月 12 日 Wind 航天器观测到的行星际日冕物质抛射进行了测试。在该特定情况下,从圆柱模型和椭圆柱模型之间的比较分析来看,在 3D 重建中包含横截面畸变会导致导出的轴方向、尺寸、中心磁场、磁通量和磁通量发生显着变化。力自由度。本文研究的案例举例说明了所开发的模型和重建技术的使用。此外,在太阳物理学中模拟磁通绳的新颖数学公式为包含更复杂的磁场配置铺平了道路。
In this paper, we present the elliptic-cylindrical analytical flux rope model, which constitutes the first level of complexity above that of a circular-cylindrical geometry. The framework of this series of models was established by Nieves-Chinchilla et al. with the circular-cylindrical analytical flux rope model. The model describes the magnetic flux rope topology with distorted cross section as a possible consequence of the flux rope interaction with the solar wind. In this model, for the first time, a flux rope is completely described by a nonorthogonal geometry. The Maxwell equations can be consistently solved using tensorial analysis, and relevant physical quantities can be derived, such as magnetic fluxes, number of turns, or Lorentz force distribution. The model is generalized in terms of the radial dependence of the poloidal and axial current density components. The circular-cylindrical reconstruction technique has been adapted to the new geometry for a specific case of the model and tested against an interplanetary coronal mass ejection observed by the Wind spacecraft on 2005 June 12. In this specific case, from the comparative analysis between the circular-cylindrical and elliptic-cylindrical models, the inclusion of the cross-section distortion in the 3D reconstruction results in significant changes in the derived axis orientation, size, central magnetic field, magnetic fluxes, and force-freeness. The case studied in this paper exemplifies the use of the model and reconstruction technique developed. Furthermore, the novel mathematical formulation to model flux ropes in heliophysics paves the way to the inclusion of more complex magnetic field configurations.
DOI: 10.1029/2012ja017624
发表时间: 2012-09-07
影响因子: 2.8
作者:
Ruffenach, A.;Lavraud, B.;Galvin, A. B.
通讯作者: Galvin, A. B.