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Fig. 6

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Top: dust-to-gas mass ratio in the circum-planetary disk of a Jupiter-mass planet for pebbles Stokes number of 10−3 (black solid lines) and 10−2 (black dashed lines), assuming a characteristic radius of deposition of ablated material r0 = 10 RJup and a global supply rate 0 = 1 M Myr−1, obtained through numerical integration of the advection-diffusion equation of the evolution of the dust surface density after 5 × 103 yr of integration. The red dotted curves show the corresponding analytical steady-state solutionsgiven by Eq. (32). The gray curves show the physical size of pebbles as a function of distance from the planet corresponding to Stokes number of 10−3 (solid) and 10−2 (dashed). Bottom: radial flux of pebbles through the CPD for the two considered Stokes number of the pebbles (overlapping black curves), along with the steady-state solution where (red dotted curve).

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