Table 1: The parameters of the three series of models presented in this paper. p is the power law index for the surface density ( $\Sigma (R) \propto R^p$). $M_{{\rm dust,small}}$ is the mass in small (0.1 $\mu $m) grains. These grains are evenly distributed with the gas in a constant gas-to-dust mass ratio. For the A and B models, this ratio is 100. For the BL models this ratio is 100, 1000, 10 000 etc., but still constant over the disk. The $M_{{\rm dust,big}}$ is the mass in big (2 mm) grains which are assumed to be located in a thin midplane layer. This parameter is only non-zero for the BL series, and it is taken such that $M_{{\rm dust,small}}+M_{{\rm dust,big}}=10^{-3}~M_{\odot}$. In this way, the BL series simulates a process of converting small grains evenly distributed in the disk into big grains located at the midplane. $M_{{\rm disk}}$ is the total mass of the disk (dust+gas) as calculated from the three disk parameters. It is therefore not a model parameter. Note that the B1 and BL1 models are identical.
  p $M_{{\rm dust,small}}/M_{\odot}$ $M_{{\rm dust,big}}/M_{\odot}$ $M_{{\rm disk}}/M_{\odot}$
A1 -1 10-4 0 10-2
A2 -2 10-4 0 10-2
A3 -3 10-4 0 10-2
A4 -4 10-4 0 10-2
B1 -1.5 10-3 0 10-1
B2 -1.5 10-4 0 10-2
B3 -1.5 10-5 0 10-3
B4 -1.5 10-6 0 10-4
B5 -1.5 10-7 0 10-5
B6 -1.5 10-8 0 10-6
BL1 -1.5 10-3 0 10-1
BL2 -1.5 10-4 $9.0\times 10^{-4}$ 10-1
BL3 -1.5 10-5 $9.9\times 10^{-4}$ 10-1
BL4 -1.5 10-6 $9.99\times 10^{-4}$ 10-1
BL5 -1.5 10-7 $1.0\times 10^{-3}$ 10-1
BL6 -1.5 10-8 $1.0\times 10^{-3}$ 10-1


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