Time evolution of change in angular momentum, ΔJ = J(t) − J(t = 0) normalized to the maximum amount (J_max) moved by the system. The measurement is made for four discrete regions, inside and outside R = 12 kpc for each disk and dark matter halo. This plot is taken at a different z limit than Figure 8 and includes an additional shaded (green) region showing the angular momentum gained by retrograde dark matter particles that undergo bar-driven orbit reversals. The disk inside (outside) R = 12 kpc are the filled (empty) squares. The dark matter halo inside (outside) R = 12 kpc are the filled (empty) circles.