Mid-plane temperature T (top), aspect ratio H/r (middle) and integrated surface density ΣG (bottom) for a disc with Ṁ = 3.5 × 10-8 M⊙/yr and for the MMSN and the CY2010 model. The grey area marks in the temperature plot the region of the opacity transition at the ice line. The green line in the surface density plot indicates a fit for the surface density in the outer part of the disc. The main difference between the Ṁ disc and the MMSN and CY2010 model is the higher temperature in the inner parts of the disc, which is caused by viscous heating. This increases H/r in the inner parts and then results in a reduced ΣG in the inner parts, owing to a change in viscosity that is compensated by a change in ΣG.
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