Nonlinear dynamics of toroidal Alfvén eigenmodes in presence of tearing modes

A new hybrid kinetic-MHD code CLT-K is developed to study nonlinear dynamics of n$=$1 toroidal Alfvén eigenmodes (TAEs) with the m/n$=$2/1 tearing mode. It is found that the n$=$1 TAE is first excited by isotropic energetic particles in the earlier stage and reaches the steady state due to wave-particle interaction. After the saturation of the n$=$1 TAE, the tearing mode intervenes and triggers the second growth of the mode. The modes goes into the second steady state due to multiple tearing mode-mode nonlinear coupling. Both wave-particle and wave-wave interactions are observed in our hybrid simulation.