An analytical model of radial dust trapping in protoplanetary disks

Abstract

We study dust concentration in axisymmetric gas rings in protoplanetary disks. Given the gas surface density, we derived an analytical total dust surface density by taking into account the differential concentration of all the grain sizes. This model allows us to predict the local dust-to-gas mass ratio and the slope of the particle size distribution, as a function of radius. We test this analytical model comparing it with a 3D magneto-hydrodynamical simulation of dust evolution in an accretion disk. The model is also applied to the disk around HD 169142. By fitting the disk continuum observations simultaneously at $\lambda =0.87$, 1.3, 3.0 mm, we obtain a global dust-to-gas mass ratio ${\epsilon }_{\mathrm{global}}=1.05\times 10^{-2}$ and a viscosity coefficient $\alpha =1.35\times 10^{-2}$. This model can be easily implemented in numerical simulations of accretion disks.

References in corpus (29)

• Gaia Data Release 1. Summary of the astrometric, photometric, and survey properties
• First Results from High Angular Resolution ALMA Observations Toward the HL Tau Region
• The Disk Substructures at High Angular Resolution Project (DSHARP): I. Motivation, Sample, Calibration, and Overview
• Coagulation, fragmentation and radial motion of solid particles in protoplanetary disks
• Particle Stirring in Turbulent Gas Disks: Including Orbital Oscillations
• Accretion Disks Around Young Objects. III. Grain Growth
• On the Submillimeter Opacity of Protoplanetary Disks
• Radial Flow of Dust Particles in Accretion Disks
• Dust and Gas in the disc of HL Tauri: Surface density, dust settling, and dust-to-gas ratio
• Dust Properties of Protoplanetary Disks in the Taurus-Auriga Star Forming Region from Millimeter Wavelengths
• The Disk Substructures at High Angular Resolution Project (DSHARP) VI: Dust trapping in thin-ringed protoplanetary disks
• Gaps, Rings, and Non-Axisymmetric Structures in Protoplanetary Disks - From Simulations to ALMA Observations
• Trapping dust particles in the outer regions of protoplanetary disks
• ALMA unveils rings and gaps in the protoplanetary system HD 169142: signatures of two giant protoplanets
• Planetesimal formation by sweep-up: How the bouncing barrier can be beneficial to growth
• Discovery of a Companion Candidate in the HD169142 Transition Disk and the Possibility of Multiple Planet Formation
• Steady state of dust distributions in disk vortices: Observational predictions and applications to transitional disks
• Gaps in the HD169142 protoplanetary disk revealed by polarimetric imaging: Signs of ongoing planet formation?
• Lopsided dust rings in transition disks
• An Enigmatic Pointlike Feature within the HD 169142 Transitional Disk
• The VLA view of the HL Tau Disk - Disk Mass, Grain Evolution, and Early Planet Formation
• Imaging the Inner and Outer Gaps of the Pre-Transitional Disk of HD 169142 at 7 mm
• The circumstellar disk HD169142: gas, dust and planets acting in concert?
• Gaps, rings, and non-axisymmetric structures in protoplanetary disks - Emission from large grains
• A Keplerian Disk around the Herbig Ae star HD169142
• Dust and gas density evolution at a radial pressure bump in protoplanetary disks
• HD 169142 in the eyes of ZIMPOL/SPHERE
• Imaging a Central Ionized Component, a Narrow Ring, and the CO Snowline in the Multi-Gapped Disk of HD 169142
• Dust concentration and emission in protoplanetary disks vortices

Cited by in corpus (26)

• The Radial Distribution of Dust Particles in the HL Tau Disk from ALMA and VLA Observations
• Molecules with ALMA at Planet-forming Scales (MAPS) XIV: Revealing disk substructures in multi-wavelength continuum emission
• Characterizing the dust content of disk substructures in TW Hya
• Empirical constraints on turbulence in proto-planetary discs
• A multi-frequency ALMA characterization of substructures in the GM Aur protoplanetary disk
• A dusty filament and turbulent CO spirals in HD135344B-SAO206462
• Effects of scattering, temperature gradients, and settling on the derived dust properties of observed protoplanetary disks
• Limits on Millimeter Continuum Emission from Circumplanetary Material in the DSHARP Disks
• Characterization of Ring Substructures in the Protoplanetary Disk of HD 169142 from Multi-Wavelength ALMA Observations
• Porous Dust Particles in Protoplanetary Disks: Application to the HL Tau Disk
• Super-resolution trends in the ALMA Taurus survey: Structured inner discs and compact discs
• The coexistence of the streaming instability and the vertical shear instability in protoplanetary disks: Planetesimal formation thresholds explored in two-dimensional global models
• Massive compact dust disk with a gap around CW Tau revealed by ALMA multi-band observations
• Into the thick of it: ALMA 0.45 mm observations of HL Tau at 2 au resolution
• The "Red Radio Ring": Ionised and Molecular Gas in a Starburst/Active Galactic Nucleus at $z\sim 2.55$
• IRAS4A1: Multi-wavelength continuum analysis of a very flared Class 0 disk
• Observational Signatures of Circumbinary Discs I: Kinematics
• A Staggered Semi-Analytic Method for Simulating Dust Grains Subject to Gas Drag
• Exploring the Grain Properties in the Disk of HL Tau with an Evolutionary Model
• Confirmation of a ring structure in the disk around MP Mus (PDS 66) with ALMA Band 7 observations
• The Impact of Silicate Grain Coagulation on Millimeter Emission from Massive Protostellar Disks
• Probing dust and grain growth in the optically thick circumbinary ring of V892 Tau
• Using simultaneous mass accretion and external photoevaporation rates for d203-504 to constrain disc evolution processes
• Effects of turbulent diffusion and back-reaction on the dust distribution around two resonant planets
• Predictive Physics of Inflation and Grand Unification for and from the CMB observations
• Characterization of the dust content in the ring around Sz 91: indications for planetesimal formation?