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Fig. 1

image

Illustration of the adopted scheme for dust growth. The size distributions of dust grains at the current n and next n + 1 time steps are shown with the red and blue lines, respectively. Here, amin is the minimum radius of small dust grains, while and are the maximum radii of the grown dust at the current and next time step. Both distributions are assumed to have the same power-law index. The gray area represents the amount of small dust Δ Σd ,sm (per surface area) converted into grown dust during one hydrodynamic time step Δ t. The blue area between a* and an is also transferred above an, but this operation does not change the total mass of grown dust.

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