Figure 3. Vertical dust density distribution obtained with a constant diffusion coefficient for different-sized particles after 1000 yr of evolution at 1 AU. Solid line: particle distribution obtained with the LIDT3D code; dashed line: analytical model for small particles tightly coupled to the gas (Equation (22)). In each graph, the title reports τΩ (i.e., the particle stopping time times the local Keplerian frequency), which is roughly the Stokes number. Note the excellent agreement that is obtained for τΩk < 0.2. For larger values of τΩk the analytical model for particles tightly coupled to the gas fails. The case of big particles is presented in Figure 4.
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