Space-time diagram of the self-similar model. Dashed lines mark the trajectory of CAIs with ρ_sa = 1   kg/m² and the black continuous line indicates the locus of R_switch. The MRI-inactive areas are shaded in blue (dead zone), with the 1500 K isotherm (a typical CAI condensation temperature) drawn as a continuous blue line. Regions prone to GI in the absence of viscous dissipation are shaded in red. Once the (GI-free) dead zone reaches a significant fraction of the disk mass, the disk model is no longer self-consistent, and disk evolution is expected to slow down, as is the sunward drift of CAIs in the dead zone. The conclusion is that CAIs can be transported to the dead zone before its formation.