| The thesis describes the progress in the design, development and verification of the global, gyrokinetic, particle-in-cell simulation code in the realistic magnetospheric equilibrium of the Earth whose purpose is to study the linear and nonlinear properties of the ultra low frequency waves driven by various instabilities. Special attention is given to drift-compressional modes and their relation to observations of the compressional Pc 5 magnetic pulsations in the inner magnetosphere.;The global particle-in-cell simulation code has been developed in the ideal dipole geometry, and successfully verified against the shear Alfven wave, ion acoustic wave, and the drift compressional mode. For the drift compressional mode, gyrokinetic simulations were performed to investigate the effects of the finite Larmor radius on the frequency and growth rate. Global simulations were also conducted to resolve the structure of the perturbation along the equilibrium magnetic field. Computational methods for complete treatment of finite Larmor radius effects in the configuration space were derived and discussed.;Future work will focus on resolving the radial mode structure, extension to nonlinear regime, and comparison to satellite observations. |
