Collisional effect on the magnetohydrodynamic modes of low frequency

Abstract

The kinetic singular layer equation is derived from the ballooning representation formalism. The mode frequency and the ion-ion collision frequency are assumed to be lower than the ion transit frequency. It is proven that the balance between the instability drives and the small-parallel-ion-velocity (SPIV) effect, instead of inertia effect, has to be imposed on determining the eigenfrequency. Consequently, it is found that the resistive effect is ignorable, while the dominant collisional effect appears to be the collisional contribution to the SPIV effect, leading to the conclusion that the customary resistive magnetohydrodynamic modes, such as the resistive interchange, resistive ballooning, and tearing modes, are nonexistent in this description.