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Fig. 3

Fig. 3 Refer to the following caption and surrounding text.

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Evolution of dust mass (black lines), planetesimal mass (red lines), and dust mass fraction within the pressure bump in three Stokes number bins (light blue for St<10−2, blue for 10−2 ≤ St ≤ 10−1, and deep blue for St>10−1), across four evolutionary stages: (i) pre-cavity, (ii) cavity at 10 au, (iii) cavity at 20 au, and (iv) cavity at 100 au. These panels show how initial conditions affect dust retention and planetesimal formation: Panel a: fiducial model (Z=0.01, LX=2.6 LX, ⊙, Mdisk=0.05 M, Rc=60 au, α=10−4) serves as the baseline for comparison, showing balanced dust evolution and planetesimal production across the disk. Panel b: higher metallicity (Z=0.02) facilitates the retention of dust mass, thereby promoting planetesimal formation. Panel c: decreased X-ray luminosity (from 2.6 LX, ⊙ to 1.0 LX, ⊙) diminishes dust mass and consequently impedes planetesimal formation. Panel d: higher viscosity parameters (α=10−3, δt=10−4) induce gas replenishment from the outer disk, delay cavity opening, reduce the overall dust reservoir, and thus hinder planetesimal formation. Panel e: a more massive and extended disk (Mdisk=0.1 M, Rc=120 au) prolongs dust retention, thereby extending the duration of planetesimal formation. Panel f: a less massive but extended disk (Mdisk=0.05 M, Rc=120 au) lowers the inner-disk dust density, causing photoevaporation to open a cavity earlier. This makes more dust retained at the onset of photoevaporative cavity, which also provides more building blocks for planetesimal formation.

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