Effect of local enhancements in the vertically integrated dust-to-gas mass ratio on the equilibrium solution by imposing f_dg to be radially variable with a local Gaussian perturbation at various locations (see the dust-to-gas mass ratio profiles in Fig. F.3). The unperturbed value of f_dg is the same for all the simulations, equal to 10⁻². The ”5 au (10×)” case (blue) corresponds to dust enhancement at r = 5 au, where f_dg varies from its unperturbed value to 10⁻¹. The “5 au (5×)” case (dark orange) is similar to the previous case, but f_dg goes up to 5 × 10⁻² instead. The “DZOE (10×)” case (green) corresponds to dust enhancement at the expected dead zone outer edge (DZOE) location for the fiducial model (r = 23 au), where f_dg varies from its unperturbed value to 10⁻¹. The “DZOE (5×)” case (red) is similar to the previous case, but f_dg goes up to 5 × 10⁻² instead. The “60 au (10×)” case (purple) corresponds to dust enhancement at r = 60 au, where f_dgvaries from its unperturbed value to 10⁻¹. The “60 au (5×)” case (brown) is similar to the previous case, but f_dg goes up to 5 × 10⁻² instead. The ”No dust enhancement” case (gray) corresponds to the fiducial model. The panels show the various steady-state profiles of some key quantities, for the model parameters M_⋆ = 1 M_⊙, L_⋆ = 2 L_⊙, M_disk = 0.05 M_⋆, a_dust = 1 μm, and α_hydro = 10⁻⁴. Panels a–e show the same key quantities as in Fig. 7. Panel f: deviation from Keplerian velocity, where v_{ϕ, gas} is the azimuthal gas velocity and v_K = rΩ_K is the Keplerian velocity. The dotted black line corresponds to v_{ϕ, gas} = v_K.