Spatially averaged Hermite spectrum of the non-thermal distribution function, ﹩\mathrm{log}| \delta {f}_{m}{| }^{2}﹩, in a local magnetic-field-aligned coordinate system ﹩({m}_{\parallel },{m}_{\perp })﹩ with ﹩{m}_{\perp }={({m}_{\perp 1}^{2}+{m}_{\perp 2}^{2})}^{1/2}﹩. Labeled dashed lines provide reference slopes.