Recent results on magnetic plasma turbulence

Magnetic plasma turbulence is observed over a broad range of scales in the solar wind. We discuss the results of high-resolution numerical simulations of magnetohydrodynamic (MHD) turbulence that models plasma motion at large scales and the results of numerical simulations of kinetic-Alfven turbulence that models plasma motion at small, sub-proton scales. The simulations, with numerical resolutions up to 20483 mesh points in the MHD case and 5123 points in kinetic-Alfven case and statistics accumulated over 30 to 150 eddy turnover times, constitute, to the best of our knowledge, the largest statistical sample of steadily driven three dimensional MHD and kinetic-Alfven turbulence to date.