Three-dimensional magnetic reconnection regimes: A review

The magnetic field in many astrophysical plasmas – such as the solar corona and Earth’s magnetosphere – has been shown to have a highly complex, three-dimensional structure. Recent advances in theory and computational simulations have shown that reconnection in these fields also has a three-dimensional nature, in contrast to the widely used two-dimensional (or 2.5-dimensional) models. Here we discuss the underlying theory of three-dimensional magnetic reconnection. We also review a selection of new models that illustrate the current state of the art, as well as highlighting the complexity of energy release processes mediated by reconnection in complicated three-dimensional magnetic fields.     

Two-spacecraft observations of reconnection at the magnetopause: Model results and data comparison

We revisit an example of “quasi-steady” magnetic reconnection at the dayside magnetopause on February 11, 1998, observed by Equator-S and Geotail at the dawnside magnetopause. Phan et al. [Phan, T.D. et al., 2000. Extended magnetic reconnection at the Earth’s magnetopause from detection of bi-directional jets. Nature 404, 848–850.] reported oppositely directed jets at these spacecrafts and inferred a length of the reconnection line of about 38R_E. Pinnock et al. [Pinnock, M., Chisham, G., Coleman, I.J., Freeman, M.P., Hairston, M., Villain, J.-P., 2003. The location and rate of dayside reconnection during an interval of southward interplanetary magnetic field. Ann. Geophys. 21, 1467–1482.] used measurements from SuperDARN radars to show that the reconnection electric field was variable. Here we complement this work by obtaining snapshots of the reconnection electric field from the in situ observations. To do this, we apply a reconstruction method based on a model of compressible Petschek-type magnetic reconnection. This independent method uses magnetic field observations as input data to calculate the reconnection electric field. We obtain average values of E_rec in the range of 0.4–2.4 mV/m. Further we infer a distance perpendicular to the reconnection line of 0.4–0.6R_E. The model results are compared with the two studies mentioned above. It thus appears that while the transfer of momentum for this event is indeed large-scale, the actual rate depends on the time it is measured.     

Simulation of the observed coronal kink instability and its implications for the SDO/AIA

Srivastava et al. (2010) have observed a highly twisted coronal loop, which was anchored in AR10960 during the period 04:43 UT-04:52 UT on 4 June 2007. The loop length and radius are approximately 80 Mm and 4 Mm, with a twist of 11.5 π$\pi$. These observations are used as initial conditions in a three dimensional nonlinear magnetohydrodynamic simulation with parallel thermal conduction included. The initial unstable equilibrium evolves into the kink instability, from which synthetic observables are generated for various high-temperature filters of SDO/AIA. These observables include temporal and spatial averaging to account for the resolution and exposure times of SDO/AIA images. Using the simulation results, we describe the implications of coronal kink instability as observables in SDO/AIA filters.     

初始电流片长宽比对非对称多重X线重联的影响

采用可压缩电阻性磁流体力学模型,研究了初始电流片的长宽比${L_x}$对非对称多重X线磁场重联的影响。研究结果发现,当${L_x}$超过一定的阈值时,非对称磁场重联的演化过程中将伴有多重X线重联发生。进一步地研究结果表明,当${L_x}$越大,多重X线重联就越容易出现,相同时间间隔内所诱发的次级磁岛的尺寸也随之相应变大,不仅如此,次级磁岛的尺寸占整个模拟尺寸的比例也有所增大。对于${L_x}$比较大的情形,当非对称多重X线磁场重联发展到一定程度后,非对称多重X线磁场重联的重联点基本不随时间变化,并且所诱发的大尺度次级磁岛的大小也基本稳定,该结论与Magnetospheric Multiscale （MMS） 观测现象一致。因此这些结果可以用来解释一些卫星观测现象,尤其对空间物理中有关次级磁重联产生的多重X重联的观测有一定指导作用。     

Theoretical model of steady-state magnetic reconnection in collisionless incompressible plasma based on the Grad–Shafranov equation solution

The problem of steady-state magnetic reconnection in an infinite current layer in collisionless, incompressible, nonresistive plasma, except of the electron diffusion region, is examined analytically using the electron Hall magnetohydrodynamics approach. It is found that this approach allows reducing the problem to the magnetic field potential finding, while last one has to satisfy the Grad–Shafranov equation. The obtained solution demonstrates all essential Hall reconnection features, namely proton acceleration up to Alfvén velocities, the forming of Hall current systems and the magnetic field structure expected. It turns out that the necessary condition of steady-state reconnection to exist is an electric field potential jump across the electron diffusion region and the separatrices. Besides, the powerful mechanism of electron acceleration in X-line direction is required. It must accelerate electrons up to the electron Alfvén velocity inside the diffusion region and on the separatrixes. This is a necessary condition for steady-state reconnection as well.     

Two energy release processes for CMEs: MHD catastrophe and magnetic reconnection

It remains an open question how magnetic energy is rapidly released in the solar corona so as to create solar explosions such as solar flares and coronal mass ejections (CMEs). Recent studies have confirmed that a system consisting of a flux rope embedded in a background field exhibits a catastrophic behavior, and the energy threshold at the catastrophic point may exceed the associated open field energy. The accumulated free energy in the corona is abruptly released when the catastrophe takes place, and it probably serves as the main means of energy release for CMEs at least in the initial phase. Such a release proceeds via an ideal MHD process in contrast with nonideal ones such as magnetic reconnection. The catastrophe results in a sudden formation of electric current sheets, which naturally provide proper sites for fast magnetic reconnection. The reconnection may be identified with a solar flare associated with the CME on one hand, and produces a further acceleration of the CME on the other. On this basis, several preliminary suggestions are made for future observational investigations, especially with the proposed Kuafa satellites, on the roles of the MHD catastrophe and magnetic reconnection in the magnetic energy release associated with CMEs and flares.     

Observations of Magnetic Reconnection in the Magnetotail Associated With Substorms

Magnetic reconnection is one of the most important, dynamic phenomena in the magnetotail in terms of magnetic field line configuration change and energy release. It is believed to occur in the distant magnetotail mainly during southward interplanetary magnetic field periods and in the near-Earth magnetotail in association with substorms. In the present paper, we discuss several important issues concerning magnetic reconnection in the magnetotail associated with substorms, such as reconnection signatures, location, timing, spatial scale, and behavior, from the macroscopic, observational point of view.     

Numerical study of magnetic reconnection possibly occurring near heliospheric current sheet

The third-order accurate upwind compact difference scheme has been applied for the numerical study of the magnetic reconnection driven by a plasma blob impacting the heliospheric current sheet, under the framework of the two-dimensional compressible magnetohydrodynamics. The results show that the driven reconnection near the current sheet could occur in about 10–30 min for the interplanetary high magnetic Reynolds number, R_M = 2000–10,000, a stable magnetic reconnection structure can be formed in hour order of magnitude, and there appear some basic properties such as the multiple X-line reconnections, vortex structures, filament current systems, splitting and collapse of the high-density plasma blob. These results are helpful in understanding and identifying the magnetic reconnection phenomena possibly occurring near the heliospheric current sheets.     

磁云边界层中的复合重联喷流观测分析

太阳风中的磁场重联通常与行星际日冕物质抛射有关.本文分析了1995年10月18日WIND飞船观测到的一例磁云前边界层中的复合重联喷流事件.该复合排空区由相邻两个不同方向的喷流构成,这两个喷流分别经过Walén关系的证认,符合行星际磁场重联排空区等离子体喷流的特征.结果表明,在磁云前端可能存在众多重联点,从而将磁云本体的磁场剥离,形成比单一重联喷流区更复杂的三维边界层结构.磁云边界层中可能发生多点多次重联,从而不表现出单点重联的排空区特征,这可能是行星际磁场重联排空区较少在ICME前端被观测到的原因之一.     

太阳表面水平运动驱动的磁圈与开放磁场重联的模拟研究

太阳大气的诸多观测事件(如耀斑、喷流等)均被归因于磁重联产生的能量转换. 近年来, 关于太阳风起源, 有研究提出了磁重联使闭合磁圈开放为太阳风供应物质的新模式. 在该模式中, 闭合磁圈被光球超米粒组织对流携带, 向超米粒边界运动, 与位于边界的开放磁场相碰撞进而发生磁重联. 该模式中磁重联的驱动及其效应是本文的研究目标. 磁流体力学(MHD)数值模拟是研究太阳大气磁重联物理过程的重要途径. 本文建立了一个二维MHD数值模型, 结合太阳大气温度和密度的分层分布, 在超米粒组织尺度上模拟了水平流动驱动的闭合磁圈与开放磁场的重联过程. 通过对模拟结果的定量分析, 认为磁重联确实能够将闭合磁圈的物质释放, 进而供应给新的开放磁结构并产生向上流动. 该结果为进一步模拟研究太阳风初始外流奠定了基础.     

磁云边界层中的重联慢激波观测分析

在Petschek模型中,排空区边界处的一对慢激波是能量耗散的重要机制.已有大量行星际空间的Petschek型磁场重联排空区观测事件被报道,但是只有少量的排空区边界处观测到了慢激波.针对一例位于磁云边界层中的Petschek型磁场重联排空区观测事件,在排空区靠近磁云一侧边界处证认了一例慢激波.激波跃变层两侧的磁场和等离子体参数满足Rankine-Hugoniot关系,且激波上下游的中间马赫数均小于1,上游的慢马赫数为2.94（>1）,下游的慢马赫数为0.65（<1）,符合慢激波的观测特征.磁云内部的等离子体β值很低,局地阿尔芬速度高,同时磁云边界层中可能发生丰富的磁场重联活动,这可能是磁云前边界处慢激波形成的原因.     

Global Hybrid Simulation of Magnetic Reconnection in the Magnetosheath

A three-dimensional (3-D) global hybrid simulation is carried out for the generation and structure of magnetic reconnection in the magnetosheath due to interaction of an interplanetary Tangential Discontinuity (TD) with the bow shock and magnetosphere. Runs are performed for solar wind TDs possessing different initial half-widths. As the TD propagates through the bow shock toward the magnetopause, it is greatly narrowed by a two-step compression processes, a "shock compression' followed by a subsequent ``convective compression'. In cases with a relatively thin solar wind TD, 3-D patchy reconnection is initiated in the transmitted TD, forming magnetosheath flux ropes. Multiple components of ion particles are present in the velocity distribution in the magnetosheath merging, accompanied by ion heating. For cases with a relatively wide initial TD, a dominant single X-line appears in the subsolar magnetosheath after the transmitted TD is narrowed. A shock analysis is performed for the detailed structure of magnetic reconnection in the magnetosheath. Rotational Discontinuity (RD)/Time-Dependent Intermediate Shock (TDIS) are found to dominate the reconnection layer, which and some weak slow shocks are responsible for the ion heating and acceleration.     

磁重联区Alfven波及新生离子的加速

利用二维混合数值模拟研究了有速度驱动、低等离子体β值情况下的磁场重联过程，结果表明磁重联过程可以产生Alfven波，该Alfven波动对重新区中的新生离子作用，使得新生离子经历投掷角散射方程，具有球壳分布特征，部分新生离子得到加速，其获得的最大能量约为4（miVA0^2/2)，此加速过程所需的加速时间在100／Ωi量级，是一个极快的加速机制，加速粒子能谱为双幂律谱。     

磁场重联中的哨声波与Hall效应

数值研究Hall电流效应对于重联动力学特征及波动特性的影响.结果表明,具有强Hall效应的算例,重联出流区张角大,重联率高.对于不同Hall效应的算例,应用快速傅里叶变换(FFT),将平面外磁场By分量和(x,z)平面内的速度分量vx,vz位于给定点的时间序列转换为功率谱,并对电场E采用最小方差分析法,确定波的传播方向与偏振特性.研究发现,在强Hall效应的算例中,磁分界线附近存在具有典型特征的哨声波,Hall效应减弱,则波动信号减弱.上述结果表明,Hall电流效应对重联动力学特征具有重要影响,是产生哨声波和快速重联率的关键因素;此外,对于强Hall效应的算例,磁分界线附近哨声波幅度与平面内场向电流Jp间存在正相关关系,它从另一个侧面展示了哨声波与Hall效应间的重要联系.     

行星际磁云与日球电流片相互作用的实例分析

基于1995-2007年Wind飞船观测到的105个磁云事件, 按照磁云在地球附近是否与日球电流片发生碰撞, 将其分为碰撞和未碰撞两类, 得到初步分析结果. ①可能与日球电流片发生碰撞的磁云事件有51例, 约占事件总数的49%; ②发生碰撞时, 磁云与日球电流片之间的相互作用区内呈现动力学相互作用增强的趋势, 例如多呈现局部的磁场方向间断结构(或称局域电流片结构), 伴随磁场强度下降、质子温度升高、部分质子速度分量出现跃变, Langmuir波或100~250,kHz的离子声波出现增强,这些现象可能与碰撞相互作用区域内发生的磁重联有关; 没有碰撞时这些特征一般不明显; ③至少有15个事例中, 磁云前后背景磁场的极性相反, 或磁场极性反转的位置位于磁云内部, 显示磁云可能正在跨越电流片运动; ④在几个磁云事件中发现磁云的亮环和亮核纤维结构. 这些极为初步的分析结果有利于了解磁云与日球电流片之间的相互作用过程.     

太阳风中小尺度磁通量管边界重联的统计研究

通过对WIND卫星1995—2005年的数据,利用程序筛选及人工识别两种不同方法确定的小尺度磁通量管进行比较,发现程序筛选法中41%的小尺度磁通量管有边界重联现象,与人工识别法确定的小尺度磁通量管的统计结果接近;通过人工识别和程序筛选两种方法确定的小尺度磁通量管的边界重联特征,包括磁场剪切角、磁场强度以及重联耗散区的持续时间等,也具有相同的统计趋势.结果表明,两种方法确定的小尺度磁通量管在重联特性上没有本质区别,因此采用这两种方法得到的数据作为样本来统计小尺度磁通量管前后边界重联事件.本文共确定了71个重联事件,统计结果显示有50个(70%)重联耗散区磁场的减小超过20%,47个(66%)磁场剪切角大于90°;多数重联事件的磁场剪切角大于90°,表明小尺度磁通量管边界中主要发生的是反平行重联.将小尺度磁通量管的前后边界重联分开进行统计,结果显示其前后边界重联的特征是相似的,与磁云前后边界存在差异的性质不同,这意味着太阳风中的小尺度磁通量管并不具有磁云这种大尺度磁通量管的膨胀特征.     

Statistical study of electrostatic solitary waves associated with reconnection: Geotail observations

The role of waves in the dynamics of the magnetotail has long been a topic of interest in magnetospheric physics. The characteristics of Electrostatic Solitary Waves (ESWs) associated with reconnection have been studied statistically in the magnetotail by surveying the large amounts data obtained from Waveform Capture (WFC) which is an important component of Plasma Wave Instrument (PWI) on the Geotail spacecraft. About 150 reconnection events with WFC data available are selected, and approximately 10 thousands of ESW waveforms are picked up by hands for statistical study. The ESWs are observed near diffusion region and near the plasma sheet boundary layer (PSBL). Two kinds of waveforms of ESWs are observed: bi-polar and tri-polar pulses. It is found that the pulse width of the ESWs is in the order of 1–5 ms and the peak-to-peak amplitude is in the order of 0.1–5 mV/m. The amplitudes of ESWs are larger in the near-earth tail region than that in deep tail region. ESWs have been observed with or without guide magnetic field 〈By〉. The characteristics of ESWs in different reconnection region and under different strength of guild magnetic field, their possible generation mechanism will be discussed.     

On the motions of RHESSI flare footpoints

The footpoint motions of flare hard X-ray (HXR) sources are directly related to the reconnection scenario of a solar flare. In this work, we tried to extract the information of footpoint motions for a number of flares observed with RHESSI. We found that the RHESSI flare results of the footpoint motions strongly support the classification proposed from the observations of YOHKOH/HXT. Furthermore, it is found that a flare can consist of two types of footpoint motions. We discussed the connections of the footpoint motions with the two-dimensional reconnection models.