Time- and ϕ- averaged maps of the angular momentum flux of the simulations with spin a = −0.94 (left), a = 0 (middle), and a =0.94 (right). The color map represents the modulus of the angular momentum flux, ﹩\sqrt{{({\dot{J}}^{\theta })}^{2}+{({\dot{J}}^{r})}^{2}}﹩. The first row shows the total angular momentum flux, while the second and third rows show the contributions of the advection and Maxwell stress components, respectively. The color-coding for each row is the same to facilitate comparison. For a = − 0.94, we use the red lines to denote the transition radius where the toroidal velocity component u ^ϕ changes sign. It is seen that its position corresponds to the region in which the radial component of the Maxwell stress changes sign as well.