Mid-plane temperature (top), H/r (middle), and surface density Σ_G (bottom) for discs with different values of Ṁ around an evolving star. The grey area in the temperature plot marks the transition range in temperature for the opacity law at the ice line. The black lines mark the fits discussed in Appendix A. For lower Ṁ rates, the inner parts of the disc are colder, as viscous heating is reduced. For very low Ṁ, the temperature is below the ice condensation temperature throughout the disc’s mid plane, and therefore the bump in the inner part of the protoplanetary disc vanishes.