Power-law relationship between the individual parameters revealed by our simulations. Upper panels: the averaged energy density U_CR as a function of the magnetization parameter M_A (panel a) and diffusion index γ (panel b). Lower panels: the ratio of the perpendicular diffusion coefficient to the parallel one, D_⊥/D_∥, vs. M_A (panel c). The parallel and perpendicular diffusion coefficients as a function of the averaged energy of particles, considering the cases with (circles) and without (thin-diamonds) radiative losses (panel d). The vertical dotted lines plotted in panels a and c correspond to M_A = 1.