Phase space diagrams of dark matter particles in three halo mass bins. The left, middle, and right columns show the results averaged over all direction (labeled as “total”), along T₁ and T₃, respectively. The contour lines are color coded according to the phase space density (see Eq. (4)); red(blue) means high(low) phase space density. The green and red vertical lines indicate the caustic and peak radii, respectively. The dashed vertical lines indicate the caustic radii measured in the total or T₁ profiles, while the solid vertical lines indicate the radii measured in the T₃ profiles and are also shown in total and T₁ panels. The black solid lines show the contour maxima of the accretion components. The red pentagram indicates the turnaround radius.