Effects of energetic ions on double tearing modes in reversed shear plasmas

The modified dispersion relation of q(s) = m/n double tearing modes (DTMs) with trapped energetic ions is derived by the matching procedure of mode structures in the ideal region and resistive layer. It is found that a mode transition between the DTM and the fishbone-like mode can be triggered, depending on fast ion driving, which provides a possible explanation for the observation of experiments (Gunter et al 1999 Nucl. Fusion 39 1793; Maget et al 2006 Nucl. Fusion 46 797). The resistivity scaling of DTMs is changed significantly by on/off-axis heating beams. The effects of beam energy, electron inertia, magnetic shear and plasma resistivity on the stability of the mode and mode transition are discussed in detail.