Ratio of the dust scale height, as the root mean square of z_d, to the gas scale height H_g (left panel) as well as mass-weighted root mean square of in the midplane (right panel). Both quantities are depicted as functions of r. To compute the root mean square, we average over 50  or 500 yr after the dust scale height has reached an equilibrium value in the simulation domains spanning 1 au ≤ r ≤ 10 au or 10 au ≤ r ≤ 100 au, respectively. The dashed line marks the boundary between these domains. The model with an initial dust-to-gas scale height ratio of , a dust-to-gas surface density ratio of Z = 2%, and the fiducial resolution (blue line) is shown together with the models that deviate from this fiducial one in that , that Z = 1% (green line),or that the initial and maximum resolution are doubled (purple line). While both the dust scale height and the Mach number depend on the radius, they are largely independent of the initial dust scale height, the surface density ratio, and the resolution.