On the chaotic diffusion and non-gaussian statistical properties in a model of electrostatic turbulent plasma

Abstract

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.