On Kinetic Resistive Wall Mode Theory with Sheared Rotation

Abstract

To study toroidal rotation shear effect on Resistive Wall Mode (RWM) stability, kinetic RWM formulation is extended to include general equilibrium rotation. By starting from the guiding-center Lagrangian with sheared rotation, an energy functional of kinetic resonance is generalized. Based on the generalized energy functional, a new dispersion relation is derived in the large aspect ratio limit. Numerical analysis of the new dispersion relation indicates that the rotation shear can reduce the growth rates of the RWMs.