Beyond solar metallicity: How enhanced solid content in disks re-shape low-mass planet torques

TL;DR

This study investigates how increased metallicity in protoplanetary disks influences the torques on low-mass planets, revealing that solid back-reaction can significantly alter migration behaviors, especially in metal-rich environments.

Contribution

The paper provides the first comprehensive 2D hydrodynamic simulations including solid back-reaction effects at high metallicities, challenging the validity of simple metallicity scaling in planet migration models.

Findings

Solid torques scale linearly with metallicity epsilon.

Gas torques can reverse sign at high metallicity and low Stokes number.

Solid back-reaction can dominate the migration torque budget in metal-rich disks.

Abstract

The migration of low-mass planets is tightly controlled by the torques exerted by both gas and solids in their natal disks. While canonical models assume a solar solid-to-gas mass ratio (epsilon=0.01) and neglect the back-reaction of solid component of the disk, recent work suggests that enhanced metallicity can radically alter these torques. We quantify how elevated metallicities (epsilon=0.03 and epsilon=0.1) modify the gas and solid torques, test widely used linear scaling prescriptions, and identify the regimes where solid back-reaction becomes decisive. We performed global, 2D hydrodynamic simulations that treat solid material as a pressureless fluid fully coupled to the gas through drag and include the reciprocal back-reaction force. The planet was maintained on a fixed circular orbit, thus we computed static torques. The Stokes number was varied from 0.01 to 10, three surface-density slopes (p=0.5, 1.0, and 1.5) and three accretion efficiencies (eta=0, 10, and 100%) were explored. Torques, obtained by rescaling canonical epsilon=0.01 results, were compared with direct simulations. Solid torques scale linearly with epsilon, but gas torques deviate by 50-100% and can even reverse sign for St<=1 in epsilon=0.1 disks. These are due to strong, feedback-driven, asymmetric gas perturbations in the co-orbital region, amplified by rapid planetary accretion. Solid back-reaction in high-metallicity environments can dominate the migration torque budget of low-mass planets. Simple metallicity rescalings are therefore unreliable for St<=2, implying that precise migration tracks - particularly in metal-rich disks -- require simulations that fully couple solid and gas dynamics. These results highlight metallicity as a key parameter in shaping the early orbital architecture of planetary systems.