Distribution functions for E_turb/E_therm inside three reference radii (R_vir/2, R_vir/3, and R_vir/10) for the simulated clusters at z = 0. The left panel is for the turbulent ICM velocity field estimated using the l_MAX filtering, while the right panel is for the filtering at l_MAX = 300 kpc. The solid lines show the differential distributions (for r < R_vir/3 only), while the dashed lines show the cumulative distributions. The vertical gray band shows the approximate regime of turbulence required by calculating the turbulent re-acceleration of relativistic electrons (e.g. Brunetti & Lazarian 2007).