Azimuthal diffusion in the ACE simulation described in Sect. 3.2. The dust distribution of particles at a = 95 au (solid; crosses) and a = 110 au (dashed; circles) along the ϖ dimension is plotted for a simulation time of 0.00 Myr (red), 2.87 Myr (blue), 5.75 Myr (orange), and 8.62 Myr (black). A fit to the analytical solution was made to extract the different parameter velocities and dispersion coefficients. The initial distribution is scaled down by a factor of 5 to fit the plot.