Minimum core accretion rate and pebble flux that are required for a positive thermal torque in a disk that is 1 Myr old. The flux of pebbles needed to make a positive thermal torque also depends on the choice of Stokes number, which is set to 0.1 here. For a higher Stokes number, lower pebble fluxes are required for a positive thermal torque. The thermal critical mass used here is only an estimate, so values above might be of interest in the future. Below the thermal critical mass and in the outer disk, unreasonably high pebble fluxes are required for a positive thermal torque. Due to the exponential decrease in pebble flux that is employed in these simulations, about 72% of the initial pebble flux are left after 1 Myr, which corresponds to in the standard case. Keep in mind that a positive thermal torque does not automatically correspond to outwards migration. For different parameters of the disk age and how it influences the minimal pebble flux needed for a positive thermal torque, see Figs. E.1 and E.2.