三维磁场奇点的结构及稳定性

The Configurations of Singularities of 3-Dimensional Magnetic Fields and Their Instabilities

根据无散条件,给出了三维磁场各种可能的奇点结构,并讨论了在Lorentz力作用下,各种奇点结构的不稳定性问题。

Since magnetic fields are solenoidal, only eight possible kinds of singularities are found for 3-dimensiorial fields and named as the one-tangent node saddle,the two-tangent node saddle, the stellar node saddle, the focus saddle, the neutral line of type X, O or U and the neutral sheet respectively. In order to study the instabilities of these singular configurations, by electro-magnetic forces, the incompressible cold plasma limit is used. Following Dungey's way, this paper discuss all the instabilities of eight kinds of singularities and show that there exist unstable modes for every kind of singularities.