ṁ-profile of the disk (negative values mean inward transport) for several models of the low density case and thus with prescribed disk accretion rate −10^-8M_⊙/ yr (see Eq. (1)). The profiles are averaged over 1000 yr, because they are very sensitive to small disturbances. The different colors correspond to the models with high (green) and low (yellow) accretion fractions at early (t = 10 kyr) and late times (t = 44 kyr) in the evolution. The times are marked with red dots and diamonds in Fig. 4. The planets early in the evolution are migrating much faster than the viscous speed, in the later models they migrate slower than the viscous speed. The jumps at the planet position correspond to the accretion onto the planet, which is therefore much higher in the green lines.