Evolution of the s-PDF (top row) and η-PDF (bottom row) for solenoidal simulations with ﹩{ \mathcal M }\simeq 3﹩, N_res = 512 (left) and ﹩{ \mathcal M }=5﹩, N_res = 256 (right) at t = 0 (orange circles), SFE = 0% (red stars), and SFE = 20% (dark red squares). Horizontal error bars represent bin spacing and vertical error bars indicate the uncertainty in the η-PDFs corresponding to three different projection directions of the simulation box. Log-normal fits of the low-density parts of PDFs at t = 0 and SFE = 20% are shown by dotted lines. The vertical dotted red lines correspond to the value of s_G calculated from Equation (35) with values of ﹩(b{ \mathcal M })﹩ and σ_s calculated at time ﹩\tilde{t}=t/{\tau }_{\mathrm{ff},0}﹩. For s > s_G, the s-PDFs and η-PDFs first develop power-law tails with exponents α_s = 2, α_η = 4 (black dashed lines) and then α_s = 3/2, α_η = 2 (green dotted–dashed lines) at higher density. The vertical dotted gray lines at s > 6 correspond to s_max from Equation (37).