Ratio to the ΛCDM (blue) model as a function of the smoothing mass M of the purely nonlinear rms fluctuations ℒ = σ_NL/σ_L for RPCDM (orange) and wCDM (green) models. In the internal panel, we plot, in the same way, the ratio to the ΛCDM model of the purely nonlinear power spectrum 𝒫 = P_NL/P_L of each model. We note that 𝒫_RPCDM (orange) closely follows 𝒫_ΛCDM (blue) up to k_C = 0.4 h Mpc, after which it deviates significantly. For the wCDM model (green), the purely nonlinear spectra are very distinct above k_C = 1. h Mpc. On the purely nonlinear ratios of rms fluctuations, the difference is strong on mass scales 10¹²−10¹⁴ M_⊙/h. It is precisely this range of mass that we will study from the DM halos.