霍尔重联模型
A model of Hall reconnection
摘要：
在不可压缩霍尔磁流体力学（MHD）框架下计算了准稳态二维磁重联的速率。计算是基于霍尔-磁流体动力学方程的解决方案，其中包括霍尔和电子压力项的电流。这些方程在一个局部区域内求解，该区域仅包括重联电子层的上游区域和层中心。当离子惯性长度di大于Sweet-Parker重联层厚度时，无量纲重联率与电阻率无关，等于di/L，其中L为电子层外上游区域外磁场的标度长度.
英文摘要：
The rate of quasi-stationary, two-dimensional magnetic reconnection is calculated in the framework of incompressible Hall magnetohydrodynamics (MHD). The calculation is based on the solution of Hall-MHD equations that include Hall and electron pressure terms for electric current. These equations are solved in a local region across the reconnection electron layer, including only the upstream region and the layer center. In the case when the ion inertial length d_i is larger than the Sweet-Parker reconnection layer thickness, the dimensionless reconnection rate is found to be independent of the electrical resistivity and equal to d_i/L, where L is the scale length of the external magnetic field in the upstream region outside the electron layer.
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