Distributions of the radial coordinate (left panel) and velocity (middle panel) of the IMBHs embedded in a Plummer model with 3 × 10³ ≤ N ≤ 10⁶ equal mass particles and an initially isotropic velocity distribution. The top right and top left panels show the peaks of the velocity and radial distributions as function of the mass ratio μ, respectively. Furthermore, shows a markedly μ^−1/3 trend (dotted line), while r_wan has a trend compatible with μ^−1/2 for μ < 3 × 10² (dash ed line). In all cases, α = 10⁻³.