论文标题
titov-démoulin型喷发事件发生器，价格为$β> 0 $等离子体
A Titov-Démoulin Type Eruptive Event Generator for $β>0$ Plasmas
论文作者
论文摘要
我们为有限厚度的环形细丝内的规定电流分布提供了精确的分析解决方案。解决方案是根据环形函数表示的，这是Legendre函数的修改。在适用于太阳能电晕中扭曲的环形电流环的MHD平衡时，将毕业生 - shafranov方程分解为一种分析溶液，描述了从其自身电流中针对捏合效应的平衡构型，以及与外部绑带场平衡hoop力的近似解决方案。我们的解决方案可用于冠状质量驱逐的数值模拟。当叠加在背景太阳冠状磁场上时，可以通过施加磁通量来减少绑带场的扭曲电流环构型的多余磁能。对于Titov＆Démoulin（1999）喷发事件发生器而言，这种稳定性损失伴随着扩展的通量绳的形成是典型的。 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模拟的CME属性到多点冠状动脉观测。
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.
