Radial velocity dispersion radial profiles, for halos classified based on their SMBH mass (top left), SMBH accretion rate (top right), relaxedness (bottom left), and formation time (bottom right). Each color corresponds to a different halo mass bin. The thick solid lines depict the mean profile, while the thin lines represent individual clusters. The figure underscores the significant impact of halo properties on the radial velocity dispersion.