论文标题
非理想磁流失动力学中的广义交叉螺旋性
Generalized Cross Helicity in Non-ideal Magnetohydrodynamics
论文作者
论文摘要
本文的目的是研究在非理想的磁性水力动力学（MHD）的情况下，拓扑不变的拓扑不变性的跨性跨螺旋性。现有工作仅考虑理想的正压MHD和理想的非核心MHD。非理想的MHD病例可能是因为其数学复杂性。在这里，我们考虑以热传导，有限的电导率和粘度形式的耗散过程以及这些过程对跨螺旋性保护的影响。已经采用了分析方法来获得跨螺旋性时间导数的数学表达式。获得的结果表明，在非理想的MHD限制中，广义交叉螺旋性并非保守，并指示哪些过程影响了螺旋性，哪些过程不影响。此外，我们指出了尽管耗散过程的拓扑常数是保守的结构。
The objective of the present paper is to investigate the constancy of the topological invariant denoted non-barotropic generalized cross helicity in the case of non-ideal magnetohydrodynamic (MHD). Existing work considers only ideal barotropic MHD and ideal non-barotropic MHD. The non-ideal MHD case was not explored probably because of its mathematical complexity. Here we consider dissipative processes in the form of thermal conduction, finite electrical conductivity and viscosity and the effect of these processes on the cross helicity conservation. Analytical approach has been adopted to obtain the mathematical expressions for the time derivative of cross helicity. Obtained results show, that the generalized cross helicity is not conserved in the non-ideal MHD limit and indicate which processes affect the helicity and which do not. Furthermore, we indicate the configurations in which this topological constant is conserved despite the dissipative processes.
