The role of the drag force in the gravitational stability of dusty planet-forming disc -- II. Numerical simulations

Abstract

Young protostellar discs are likely to be both self-gravitating, and to support grain growth to sizes where the particles decoupled from the gas. This combination could lead to short-wavelength fragmentation of the solid component in otherwise non-fragmenting gas discs, forming Earth-mass solid cores during the Class 0/I stages of Young Stellar Object evolution. We use three-dimensional smoothed particle hydrodynamics simulations of two-fluid discs, in the regime where the Stokes number of the particles St>1, to study how the formation of solid clumps depends on the disc-to-star mass ratio, the strength of gravitational instability, and the Stokes number. Gravitational instability of the simulated discs is sustained by local cooling. We find that the ability of the spiral structures to concentrate solids increases with the cooling time, and decreases with the Stokes number, while the relative dynamical temperature between gas and dust of the particles decreases with the cooling time and the disc-to-star mass ratio, and increases with the Stokes number. Dust collapse occurs in a subset of high disc mass simulations, yielding clumps whose mass is close to linear theory estimates, namely 1-10 Earth masses. Our results suggest that if planet formation occurs via this mechanism, the best conditions correspond to near the end of the self-gravitating phase, when the cooling time is long and the Stokes number close to unity.

arXiv commentAccepted for publication in MNRAS, 20 pages

References in corpus (64)

• First Results from High Angular Resolution ALMA Observations Toward the HL Tau Region
• Nonlinear Outcome of Gravitational Instability in Cooling, Gaseous Disks
• SPLASH: An interactive visualisation tool for Smoothed Particle Hydrodynamics simulations
• Gas- and dust evolution in protoplanetary disks
• Particle Stirring in Turbulent Gas Disks: Including Orbital Oscillations
• Gravitational Instabilities in Circumstellar Disks
• Can giant planets form by direct gravitational instability?
• Phantom: A smoothed particle hydrodynamics and magnetohydrodynamics code for astrophysics
• Observations of Protoplanetary Disk Structures
• The Disk Substructures at High Angular Resolution Project (DSHARP): VII. The Planet-Disk Interactions Interpretation
• Zonal Flows and Long-Lived Axisymmetric Pressure Bumps in Magnetorotational Turbulence
• Trapping dust particles in the outer regions of protoplanetary disks
• The locality of transport in self-gravitating accretion discs
• Investigating fragmentation conditions in self-gravitating accretion discs
• An energy-conserving formalism for adaptive gravitational force softening in SPH and N-body codes
• On the Role of Disks in the Formation of Stellar Systems: A Numerical Parameter Study of Rapid Accretion
• Observational Signatures of Planets in Protoplanetary Disks I: Gaps Opened by Single and Multiple Young Planets in Disks
• A Three-Dimensional View of Turbulence: Constraints on Turbulent Motions in the HD 163296 Protoplanetary Disk using DCO${}^{+}$
• On planet formation in HL Tau
• A Triple Protostar System Formed via Fragmentation of a Gravitationally Unstable Disk
• Planets opening dust gaps in gas disks
• Pseudo-viscous modeling of self-gravitating discs and the formation of low mass ratio binaries
• Accelerated planetesimal growth in self-gravitating protoplanetary discs
• Characterising the Gravitational Instability in Cooling Accretion Discs
• Dust flow in gas disks in the presence of embedded planets
• Four annular structures in a protostellar disk less than 500,000 years old
• Modeling the Formation of Giant Planet Cores I: Evaluating Key Processes
• The newborn planet population emerging from ring-like structures in discs
• On the convergence of the critical cooling timescale for the fragmentation of self-gravitating discs
• Properties of gravitoturbulent accretion disks
• Dusty gas with SPH - I. Algorithm and test suite
• Multiple Gaps in the Disk of the Class I Protostar GY 91
• On the origin of horseshoes in transitional discs
• Dust trapping by spiral arms in gravitationally unstable protostellar discs
• Planet formation by pebble accretion in ringed disks
• On the accumulation of planetesimals near disc gaps created by protoplanets
• Convergence of the critical cooling rate for protoplanetary disk fragmentation achieved; the key role of numerical dissipation of angular momentum
• Resolution requirements for Smoothed Particle Hydrodynamics simulations of self-gravitating accretion discs
• Dusty gas with SPH - II. Implicit timestepping and astrophysical drag regimes
• Planetesimal Formation In Self-Gravitating Discs
• Efficient planet formation by pebble accretion in ALMA rings
• Efficiency of Particle Trapping in the Outer Regions of Protoplanetary Disks
• Giant planet formation at the pressure maxima of protoplanetary disks II. A hybrid accretion scenario
• Collision velocity of dust grains in self-gravitating protoplanetary discs
• Limits on the location of planetesimal formation in self-gravitating protostellar discs
• Dynamical mass measurements of two protoplanetary discs
• Formation and evolution of protostellar accretion discs. II. From 3D simulation to a simple semi-analytic model of Class 0/I discs
• Rapid Formation of Jupiter and Wide-Orbit Exoplanets in Disks with Pressure Bumps
• Planetesimal formation in self-gravitating discs: the effects of particle self-gravity and back-reaction
• Dusty clumps in circumbinary discs
• Spiral structures in gravito-turbulent gaseous disks
• Dust dynamics in 2D gravito-turbulent disks
• The role of the drag force in the gravitational stability of dusty planet forming disc -- I. Analytical theory
• Planetesimal formation in self-gravitating discs -- dust trapping by vortices
• The evolution of planetesimal swarms in self-gravitating protoplanetary discs
• Is the gap in the DS Tau disc hiding a planet?
• Particle Dynamics in 3D Self-gravitating Disks I: Spirals
• Accretion rates in hierarchical triple systems with discs
• Dust dynamics and vertical settling in gravitoturbulent protoplanetary discs
• A solution to the overdamping problem when simulating dust-gas mixtures with smoothed particle hydrodynamics
• Dust Traffic Jams in Inclined Circumbinary Protoplanetary Discs I. Morphology and Formation Theory
• Dynamical dust traps in misaligned circumbinary discs: analytical theory and numerical simulations
• Restrictions on the Growth of Gas Giant Cores via Pebble Accretion
• Extreme Pebble Accretion in Ringed Protoplanetary Discs

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• Hidden under a warm blanket: If planets existed in protostellar disks, they would hardly produce observable substructures
• Angular momentum transport via gravitational instability in the Elias 2-27 disc
• Winding Motion of Spirals in a Gravitationally Unstable Protoplanetary Disk
• Survey of Orion Disks with ALMA (SODA) III: Disks in wide binary systems in L1641 and L1647
• Dust growth and planet formation by disc fragmentation
• Gravitational instability in planet-forming discs