A Caltech Library Service

Self-consistent model for dust-gas coupling in protoplanetary disks

Batygin, Konstantin and Morbidelli, Alessandro (2022) Self-consistent model for dust-gas coupling in protoplanetary disks. Astronomy and Astrophysics, 666 . Art. No. A19. ISSN 0004-6361. doi:10.1051/0004-6361/202243196.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


Various physical processes that ensue within protoplanetary disks - including vertical settling of icy and rocky grains, radial drift of solids, planetesimal formation, as well as planetary accretion itself - are facilitated by hydrodynamic interactions between H/He gas and high-Z dust. The Stokes number, which quantifies the strength of dust-gas coupling, thus plays a central role in protoplanetary disk evolution and its poor determination constitutes an important source of uncertainty within the theory of planet formation. In this work, we present a simple model for dust-gas coupling and we demonstrate that for a specified combination of the nebular accretion rate, Ṁ, and turbulence parameter a, the radial profile of the Stokes number can be calculated in a unique way. Our model indicates that the Stokes number grows sublinearly with the orbital radius, but increases dramatically across the water-ice line. For fiducial protoplanetary disk parameters of Ṁ = 10⁻⁸ M_⊙ per year and α = 10⁻³, our theory yields characteristic values of the Stokes number on the order of St ~ 10⁻⁴ (corresponding to ~mm-sized silicate dust) in the inner nebula and St ~ 10⁻¹ (corresponding to icy grains of a few cm in size) in the outer regions of the disk. Accordingly, solids are expected to settle into a thin subdisk at large stellocentric distances, while remaining vertically well mixed inside the ice line.

Item Type:Article
Related URLs:
URLURL TypeDescription
Batygin, Konstantin0000-0002-7094-7908
Morbidelli, Alessandro0000-0001-8476-7687
Additional Information:We thank the anonymous referee for providing a thorough and insightful referee report. K.B. is grateful to Caltech, Observatoire de la Côte d’Azur, the David and Lucile Packard Foundation, and the National Science Foundation (grant number: AST 2109276) for their generous support. A.M. acknowledges support from the ERC advanced grant HolyEarth N. 101019380.
Group:Division of Geological and Planetary Sciences
Funding AgencyGrant Number
David and Lucile Packard FoundationUNSPECIFIED
European Research Council (ERC)101019380
Record Number:CaltechAUTHORS:20221104-609510400.6
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:117713
Deposited By: Research Services Depository
Deposited On:17 Nov 2022 14:40
Last Modified:17 Nov 2022 14:40

Repository Staff Only: item control page