Fig. 1

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Midplane pebble-to-gas ratio Z = ρp /ρg in the αmid/αacc − Fp/g space (Eq. (10)). Top and bottom panels correspond to αacc = 10−2 and αacc = 10−3, respectively. Left and right panels correspond to τs = 0.01 and τs = 0.1, respectively. The color contours are obtained by directly solving Eq. (10). The red-colored regions indicate the “no-drift” runaway pile-up (i.e., ρp/ρg goes to infinity; no-solution). The calculations correspond to r = 5 au, but the results depend very weakly on the radial distance to the star. The ND mode can occur irrespectively of the radial shape and position of a dead zone (see more details in Paper I). We note that the physics of planetesimal formation is not included here.
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