Using the in-viscid two-field reduced MHD model, a new analytical theory is developed to unify the Hahm-Kulsrud-Taylor (HKT) linear solution and the Rutherford quasi-linear regime. Adopting a quasi-linear approach, we obtain a closed system of equations for plasma response in a static plasma in slab geometry. An integral form of analytical solution is obtained for the forced magnetic reconnection, uniformly valid throughout the entire regimes from the HKT linear solution to the Rutherford quasi-linear solution. In particular, the quasi-linear effect can be described by a single coefficient $K_s\propto S^{8/5} ψ_c^2$, where $S=\frac{τ_R}{τ_A}$ and $ψ_c$ are the Lunquist number and amplitude of external magnetic perturbation, respectively. The HKT linear solution for response can be recovered when the index $K_s\rightarrow 0$. On the other hand, the quasi-linear effect plays a key role in the island growth when $K_s\sim1$. Our new analytical solution has also been compared with reduced MHD simulations with agreement.
Princeton University（普林斯顿大学）；University of Maryland, College Park（马里兰大学帕克分校）；National Aeronautics and Space Administration Goddard Space Flight Center（美国国家航空航天局戈达德太空飞行中心）
The scaling of forced collisionless reconnection in two and three dimensions
本文采用双流体方法模拟了具有周期性边界的无碰撞三维立方体中有限电子惯性下的强迫磁重联。进行比较，以类似的二维（2D）模拟。在这个系统中的重新连接是由一个空间本地化的强制功能，被添加到计算域内的离子动量方程。与以前类似的结果一致，但更大的强制二维模拟[B。沙利文湾N. Rogers和M. A. Shay，Phys.Plasmas 12，122312（2005）]，对于足够强的强迫，发现重连过程在2D和3D中都变成Alfvenic，即，基于上游重连磁场，流入速度的比例大致类似于阿尔芬速度的某个分数，并且系统呈现具有0.15量级的耗散区域纵横比的稳定配置。
Study of low-frequency core-edge coupling in a tokamak: III. Core-localized MHD continuum pulsations \& distant forced reconnection
National Institutes for Quantum Science and Technology (QST)（量子科学和技术研究院）；KAIST（韩国科学技术院）；Research Organization for Information Science and Technology (RIST)（信息技术科学研究机构）
System Size Dependence of Collisionless Reconnection Rate
University of Maryland, College Park（马里兰大学帕克分校）；National Aeronautics and Space Administration Goddard Space Flight Center（美国国家航空航天局戈达德太空飞行中心）；Princeton University（普林斯顿大学）
