Gyrokinetic Particle Simulation of Kinetic Alfv\'{e}n Wave Turbulence

The previous studies of spectral cascade in Alfv\'{e}nic turbulence clearly show signs of plasma heating, and there are several highly-debated explanations to this phenomenon. We have developed a nonlinear gyrokinetic particle simulation to study the perpendicular spectral cascade caused by Landau damping of kinetic Alfv\'{e}n wave, which is one of those possible heating mechanisms. The current nonlinear gyrokinetic code includes scalar potential and vector potential. We will propose a new formulation that implements compressional magnetic perturbation into the existent code to form a complete, self-consistent nonlinear simulation.