一种适用于 β>0 等离子体的 Titov-Démoulin 型爆发事件生成器
A Titov-Démoulin Type Eruptive Event Generator for $β>0$ Plasmas
AI总结：
本文提出一种适用于 β>0 等离子体的 Titov-Démoulin 型爆发事件生成器，通过解析求解 Grad-Shafranov 方程描述扭曲环形电流环的平衡与束缚场作用，并利用磁通量抵消触发不稳定爆发，从而为日冕物质抛射数值模拟提供可连接多点日冕仪观测的解析参数关系。
摘要：
我们为位于有限厚度环形细丝内部的给定电流分布所产生的磁场提供了精确的解析解。这些解用环形函数表示，环形函数是勒让德函数的修正形式。在应用于太阳日冕中扭曲环形电流环的磁流体力学平衡时，Grad-Shafranov 方程被分解为一个解析解和一个近似解，前者描述对抗自身电流箍缩效应的平衡位形，后者描述用于平衡环向力的外部束缚场。我们的解可用于日冕物质抛射的数值模拟。当叠加在背景太阳日冕磁场上时，扭曲电流环位形的超额磁能可以通过施加磁通量抵消来削弱束缚场，从而使其变得不稳定。这种伴随膨胀磁绳形成的不稳定性丧失是 Titov & Démoulin (1999) 爆发事件生成器的典型特征。所提出模型的主要新特点是：（i）细丝内部填充了具有有限质量和能量的有限 β 等离子体；（ii）该模型描述了一个平衡解，该平衡解会由于束缚磁场拱廊的磁重联而自发爆发；（iii）存在将模型参数与所产生的日冕物质抛射的渐近速度和总质量联系起来的解析表达式，从而提供了一种将模拟的日冕物质抛射性质与多点日冕仪观测联系起来的方法。
英文摘要：
We provide exact analytical solutions for the magnetic field produced by prescribed current distributions located inside a toroidal filament of finite thickness. The solutions are expressed in terms of toroidal functions which are modifications of the Legendre functions. In application to the MHD equilibrium of a twisted toroidal current loop in the solar corona, the Grad-Shafranov equation is decomposed into an analytic solution describing an equilibrium configuration against the pinch-effect from its own current and an approximate solution for an external strapping field to balance the hoop force. Our solutions can be employed in numerical simulations of coronal mass ejections. When superimposed on the background solar coronal magnetic field, the excess magnetic energy of the twisted current loop configuration can be made unstable by applying flux cancellation to reduce the strapping field. Such loss of stability accompanied by the formation of an expanding flux rope is typical for the Titov & Démoulin (1999) eruptive event generator. The main new features of the proposed model are: (i) The filament is filled with finite $β$ plasma with finite mass and energy, (ii) The model describes an equilibrium solution that will spontaneously erupt due to magnetic reconnection of the strapping magnetic field arcade, and (iii) There are analytic expressions connecting the model parameters to the asymptotic velocity and total mass of the resulting CME, providing a way to connect the simulated CME properties to multipoint coronograph observations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
