On the chaotic diffusion and non-gaussian statistical properties in a model of electrostatic turbulent plasma정전기적 난류 플라즈마 모델에서의 무질서 확산과 비가우스적 통계특성에 관하여
In the nonlinear Hamiltonian system where a $k^{-3}$ power law spectrum is chosen, we have studied the guiding center motion across a strong and uniform magnetic field, caused by electrostatic turbulences. The equation of motion is calculated through numerical technique. Two typical results for diffusion process are reviewed. Mainly, as the number of fluctuation modes is varied, the change of non-Gaussian properties is investigated. For broader turbulence, the fourth cumulant (kurtosis) does not greatly deviate from the Gaussian value and shows a rapid approach to the Gaussian value.