Growth after the streaming instability: The radial distance dependence of the planetary growth

Streaming instability is hypothesized to be triggered at particular protoplanetary disk locations where the volume density of solid particles enriched comparable that gas. A ring planetesimals thus forms when this condition fulfilled locally. These collide with each other and accrete inward drifting pebbles from outer further increase masses. We investigate growth form in a ring-belt various radii. Their initial mass distributions are calculated based on formula summarized streaming simulations. simulate subsequent dynamical evolution model either minimum solar nebula (MMSN) or Toomre stability criterion. For MMSN model, both pebble accretion planetesimal efficient close-in orbit $0.3$ AU, resulting emergence several super-Earth planets after $1$ Myr. comparison, only most massive undergo substantial they born $r{=}3$ while $r{=}30$ AU experience little no growth. On hand, denser disk, forming can reach Earth $t{=}1$ Myr between Neptune Saturn within $3$ $30$ $100$ AU. Both rate decrease radial distance. Nevertheless, less pronounced than more distant regions. Taken together, acquire higher masses has gas density, flux, and/or lower Stokes number pebbles.