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Fig. 4

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Growth timescales for pebble accretion (settling mechanism, red) and Safronov accretion (gravitational focusing in the absence of gas drag; yellow) for a velocity parameter of σ = Δv/vK = 10−3, dimensionless stopping time τs = 2 × 10−3, and internal density parameter χ = 5 × 10−4. The critical mass q* = σ3 τs (or rather a fraction of this number; vertical dashed line) indicates the point where the settling mechanism becomes operational. In the case where the approach velocity is due to turbulence, such that Δv follows a distribution, the transition is more gradual (thin red line). Pebble accretion acts on the high-mass tail of the distribution where the length of the arrows is proportional to the growth rate (Equation (10); gray).

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