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The solid material of protoplanetary discs forms an asymmetric pattern arounda low-mass planet (M_p<=10M_Earth) due to the combined effect of dust-gasinteraction and the gravitational attraction of the planet. Recently, it hasbeen shown that although the total solid mass is negligible compared to that ofgas in protoplanetary discs, a positive torque can be emerged by a certain sizesolid species. The torque magnitude can overcome that of gas which may resultin outward planetary migration. In this study, we show that the accretion ofsolid species by the planet strengthens the magnitude of solid torque beingeither positive or negative. We run two-dimensional, high-resolution (1.5Kx3K)global hydrodynamic simulations of an embedded low-mass planet in aprotoplanetary disc. The solid material is handled as a pressureless fluid.Strong accretion of well-coupled solid species by a M_p<0.3M_Earth protoplanetresults in the formation of such a strongly asymmetric solid pattern close tothe planet that the positive solid torque can overcome that of gas by twotimes. However, the accretion of solids in the pebble regime results inincreased magnitude negative torque felt by protoplanets and strengthenedpositive torque for Earth-mass planets. For M_p>=3M_Earth planets the magnitudeof the solid torque is positive, however, independent of the accretion strengthinvestigated. We conclude that the migration of solid accreting planets can besubstantially departed from the canonical type-I prediction.

Torques felt by solid accreting planets