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Fig. 10

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Mass–orbital tracks of protoplanets starting at Mp = 0.01 M and r = [0.2: 20] au, with early-onset growth (t0 = 0.01 Myr) and vfrag = 10 m s−1, under MHD heating (left) and classical heating (right). The total pebble mass drifting through the snowline at tt0 is 400 M. The characteristic masses in planetary evolution at t = 0.1 Myr are also shown as gray lines. Planets grow through pebble accretion until they reach the isolation mass (Miso; solid line). When the growth timescale exceeds the migration timescale, migration becomes the dominant process (Mmig; dashed line). Gaps start to open when Mp reaches 2.3Miso (Mgap; dotted line). Planets grow in a runaway manner when the growth timescale again becomes shorter than the migration timescale (MRG; dash-dotted line). The points on each mass-orbital track show the elapsed time for every 0.5 Myr. The gray circles show the distribution of confirmed exoplanets orbiting stars with masses in the range of [0.8, 1.2] M (NASA Exoplanet Archive 2024). The vertical blue lines show the location of the snowline at t = 0.1 Myr.

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