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arXiv 0711.1376astro-ph
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基于最小耗散率原理的日冕磁场外推实用方法

A Practical Approach to Coronal Magnetic Field Extrapolation Based on the Principle of Minimum Dissipation Rate

Q. Hu, B. Dasgupta, D. P. Choudhary, J. Büchner

摘要:

提出了一种基于最小耗散率原理的矢量磁图外推日冕磁场的新方法。MDR系统是从一个变分问题,更适合于一个开放的和外部驱动的系统,如日冕。由此产生的磁场方程比无力方程更一般。它的解可以表示为两个具有不同$α$参数的线性(常数- $α$)无力场(LFFF)和一个势场的叠加。因此,原来的外推问题分解成三个LFFF外推,利用边界数据。完全基于MDR的方法需要两层太阳表面的矢量磁像仪测量,而稍微修改的实用方法只需要一个。我们测试这两种方法对三维MHD模拟数据在有限的体积。两者都产生了定量的良好结果。磁能估计的误差在几个百分点之内。特别是,相对较强的垂直电流密度结构的主要特点,代表的非力自由的解决方案,很好地恢复。

英文摘要:

We present a newly developed approach to solar coronal magnetic field extrapolation from vector magnetograms, based on the Principle of Minimum Dissipation Rate (MDR). The MDR system was derived from a variational problem that is more suitable for an open and externally driven system, like the solar corona. The resulting magnetic field equation is more general than force-free. Its solution can be expressed as the superposition of two linear (constant-$α$) force-free fields (LFFFs) with distinct $α$ parameters, and one potential field. Thus the original extrapolation problem is decomposed into three LFFF extrapolations, utilizing boundary data. The full MDR-based approach requires two layers of vector magnetograph measurements on solar surface, while a slightly modified practical approach only requires one. We test both approaches against 3D MHD simulation data in a finite volume. Both yield quantitatively good results. The errors in the magnetic energy estimate are within a few percents. In particular, the main features of relatively strong perpendicular current density structures, representative of the non-force freeness of the solution, are well recovered.

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