Comparison between single- and full-size coagulation calculations. The solid lines show the snapshots of the peak mass mp (Eq. (A.9); upper panel) and total dust surface density Σd (Eq. (A.8); lower panel) at different times as a function of orbital radius r obtained from the full coagulation simulation for the compact aggregation model by Okuzumi et al. (2012, see also their Fig. 2). The dashed line shows our reproduction using the single-size approach (Eq. (4) for Σd and Eq. (5) for mp) with ϵ = 0.5 (see Sect. 2.4 for the definition of ϵ).
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