Density profile multiplied by r⁴ for p = 0 (left panel), p = 0.6 (middle panel), and p = 1 (right panel) obtained from Poisson configurations with different values of N₀. The softening length is ε = 3 × 10⁻⁴. The profile for p = 0 is N dependent and decays as r⁻⁴; for p = 1 it converges to an N-independent ≈r⁻³ behavior but is still affected by finite N effects at small scales. A reference line corresponding to ρ(r)∼r⁻³ is reported in the middle and left panels.