Examples of radial profiles of the gas density (solid line, left y-axis) and dust temperature (dashed line, right y-axis) in protostars of different L_* embedded in a molecular core for r ≥ r_threshold. In each panel, our temperature profile is compared to the profiles found in the literature. For the profiles from Sabatini et al. (2021), we used n₀ = 10⁷ cm⁻³ and r₀ = 0.15 pc, the same as the authors. For the profile from Nomura & Millar (2004), we used n₀ = 1.5 × 10⁶ cm⁻³ and r₀ = 0.05 pc.