Temporal evolution of the pebble surface density as a function of radius. The solid orange and teal lines correspond to the pebble surface density for our standard and power-law cases, respectively. The orange lines show the dust-sublimation front beginning at around 0.5 AU. The solid, dashed, and dotted-dashed lines correspond to disk times of 10³ years, 5 × 10⁵ years, and 1 Myr, respectively.