Comparison of the time-averaged first-order VSF (blue curve), second-order VSF (purple curve), and second-order longitudinal VSF (red curve) for the hot phase (left panel) and the cold phase (right panel). The separations scales have been normalized by the domain size L, and the VSFs have been normalized by their time-averaged root mean square velocity v_rms. The colored areas represent the standard deviation resulting from time variation across all snapshots.