Gas accretion rate obtained in our numerical simulations of M_s = 1M_⊙ and log₁₀t₀/yr = 6. The blue and green lines show the cases with f_g = 1 and 0.01, respectively. The solid and dashed lines correspond to the cases with α_turb = 10⁻³ and 10⁻⁵, respectively. We also plot the maximum gas accretion rate in the supply-limited case with black (t = 10⁶ yr) and gray (t = 10⁷ yr) lines. Also, the solid and dashed lines correspond to cases with α_turb = 10⁻³ and α_turb = 10⁻⁵, respectively. The thin gray dotted lines