The blue distribution represents a two-dimensional histogram of the predicted magnetic field strength, ﹩{B}_{{\rm{pred,}}\langle {e}_{{\rm{c}}}\rangle }﹩ (Equation (17)), compared to the simulated, mass-averaged magnetic field strength, B_avg across all R8 snapshots. The red points represent the values of ﹩{B}_{{\rm{pred,}}\langle {e}_{{\rm{c}}}\rangle }﹩ and B_avg averaged over each kiloparsec-scale simulation snapshot individually. The black, dashed line represents B_pred = B_avg. The best-fit power law to this distribution is included as a purple line given by ﹩{B}_{{\rm{pred}}}\propto {B}_{{\rm{avg}}}^{0.66}﹩. This improves over the traditional equipartition estimate at small scales (Figure 3).