论文标题
带有轴向和螺旋对称性的新的精确血浆平衡
New Exact Plasma Equilibria with Axial and Helical Symmetry
论文作者
论文摘要
为轴向和螺旋减小的系统提供了静态平衡磁流体动力方程的精确溶液。对于这两个对称性,都讨论了对解决方案的物理限制,并且可以看出,有两个不同的物理解决方案家族对应于两个不同的压力谱。一种适用于大气上限制的等离子体,而另一个适用于居住在真空中的等离子体。对于真空中的溶液,发现径向依赖性在轴向和螺旋对称性方面定期行为。对于这些物理解决方案,只能考虑某些选定域内的截断解决方案。磁场边界可以比电流纸描述。在本文的最后一部分中,这些静态平衡溶液被转化为具有非零流体速度的溶液。
Exact solutions to the static equilibrium magnetohydrodynamic equations are presented and discussed for both axially and helically reduced systems. For both symmetries, physical restrictions on the solutions are discussed and it is seen that there arise two different families of physical solutions corresponding to two distinct pressure profiles. One is suitable for atmospherically confined plasma whereas the other is suitable for plasma residing in a vacuum. For solutions in vacuum, the radial dependence is found to behave periodically for both axial and helical symmetries. For these physical solutions, only a truncated solution inside of some chosen domain can be considered. The magnetic field boundary can than be described by a current sheet. In the last part of the paper, these static equilibrium solutions are transformed into solutions with non-zero fluid velocity.