Comparison between the full-size simulation (Okuzumi et al. 2012) and single-size simulations using different values of ϵ. 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 105 yr, while the dotted, dashed, and dash-dotted lines show the reproductions with ϵ = 0, 0.5, and 1, respectively. The comparison shows that the single-size approach best reproduces the result of the full-size simulation when ϵ is chosen to be 0.5.
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