Semi-analytical calculation showing the dependence of the PIM on dust turbulent diffusion, using the method in Sect. 3. Upper panel: ratio between the normalized PIM with dust turbulent diffusion (qd,A) and that without (qg,A), as a functionof the particles Stokes number. Both qg,A and qd,A are calculated using the analytical gap density profile of Duffell (2015). Lower panel: relative difference between the normalized PIM obtained with our semi-analytical calculation (qd,a) and that obtained with our fitting formula (qd,A fit, Eq. (11)).
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