Snapshots and histograms of the dust enrichment at two given times of model ℳ₁ with (top row) and without (bottom row) dust growth. The histograms are obtained with the dust enrichment calculated in each cell in a box with sides of 2000 au around the star. The two times are when M_⋆ = 0.06 M_⊙ (orange) and M_⋆ = 0.4 M_⊙ (blue). Dust growth and dynamics result in larger local variations in the dust enrichment, by a factor of greater than 2, in the envelope compared to the dust dynamics alone. The black line shows the histograms for the ℳ₁ model with dust growth and 60 dust bins, highlighting the numerical convergence reached with 40-bin simulations. The red cross represents the position of the star. The variance value of ~0.01 of the histogram explains the low variation observed on the map for model ℳ₁ when M_⋆ = 0.4 M_⊙.