Steady-state results for the fiducial parameters, for the simple model with single-seed evaporation (upper two panels) and many-seeds evaporation (lower two panels). a) Surface densities of ice, silicates and vapor (Σ_ice, Σ_sil, and Σ_Z, respectively) for the single-seed model. The silicates are locked in the icy pebbles outside the snowline, whereas they are bare grains interior to the snowline. b) Midplane pebbles-to-gas ratio ρ_peb/ρ_gas, and pebbles-to-gas column density ratio Σ_peb/ Σ_gas for the single-seed model. c) Same as panel a) but for the many-seeds model. The silicates are now divided in two populations: silicates that are locked up in icy pebbles (Σ_dirt), and free silicates (Σ_sil). Note that in panels a) and c) the x-axis ranges between r = 1.8 − 2.8au, for clarity. d) Same as b), but for the many-seeds model and with an additional line for the midplane “free silicates”-to-gas ratio ρ_sil/ρ_gas.