Figure 10. Variation of subdisk dust density ρ‎d depending on the radial distance r from 100 AU for particles of mean size 10 cm (left) and 1 cm (right). Broad diagonal band—critical dust density ρ‎dcr corresponding to the disk gravity instability and its fragmentation into dust clusters. Curves 1–6 – time sequence 0, 1 × 103, 5 × 103, 2 × 104, 5 × 104 and 1 × 105 (yr) from the beginning of subdisk evolution.

Source: Marov et al. (2009). Note that in the refined model, ρdcr approaches at larger r and the ρd change at the snow line is more pronounced.