论文标题
线性理论的新方法撕裂均匀电阻率的不稳定性
A New Approach of Linear Theory of Tearing Instability in Uniform Resistivity
论文作者
论文摘要
在LSC理论（Loureiro，Schekochihin和Cowley，POP2007）中得出的撕裂不稳定性的线性扰动方程被数值检查为初始值问题，其中内部和外部区域在统一的电阻下无缝求解。因此，所有区域均被求解为电阻性MHD（磁流失动力学）。为了全面研究物理上可接受的扰动溶液，检查了物理上可接受的溶液所需的局部最大点的行为和零交叉点所需的ϕ = 0和ψ= 0所需的局部最大点。最终，表明在外部区域中假定的统一电阻率在改善从理论得出的一些结论中起着重要作用。总之，在改进的（修改）LSC理论中获得的增长率的上限λ_{UP}被证明是由外部区域中测得的Alfven速度调节的。它还显示与基于均匀电阻率的浆液不稳定性（PI）的可压缩MHD模拟中观察到的冲动性撕裂不稳定性的线性发育阶段的生长速率部分一致。
The linear perturbation equation of the tearing instability derived in LSC theory (Loureiro, Schekochihin, and Cowley, PoP2007) is numerically examined as an initial value problem, where the inner and outer regions are seamlessly solved under uniform resistivity. Hence, all regions are solved as the resistive MHD (magnetohydrodynamics). To comprehensively study physically acceptable perturbation solutions, the behaviors of the local maximum points required for physically acceptable solutions and zero-crossing points, at which ϕ=0 and ψ=0, are examined. Eventually, the uniform resistivity assumed in the outer region is shown to play an important role in improving some conclusions derived from the theory. In conclusion, the upper limit λ_{up} of the growth rate obtained in the improved (modified) LSC theory is shown to be regulated by the Alfven speed measured in the outer region. It is also shown to be partially consistent with the growth rate in the linear developing stage of the impulsive tearing instability observed in the compressible MHD simulation of the plasmoid instability (PI) based on uniform resistivity.
