Effect of the hydrodynamic turbulent parameter on the equilibrium solution when varying α_hydro from 10⁻⁵ to 10⁻³: The case α_hydro = 10⁻⁵ is shown in blue, α_hydro = 10⁻⁴ in dark orange (fiducial model), and α_hydro = 10⁻³ in green. 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 f_dg = 10⁻². Panels (a)-(f) show the same key quantities as in Fig. 7. The dashed black line in panel (b) corresponds to a power-law fit of Σ_gas as a functionof distance from the star, r. The dashed black lines in panels (e) and (f) correspond to a power-law fit of Ṁ_acc and R_DZ as a function of α_hydro, respectively.