Millimeter Gap Contrast as a Probe for Turbulence Level in Protoplanetary Disks

Abstract

Turbulent motions are believed to regulate angular momentum transport and influence dust evolution in protoplanetary disks. Measuring the strength of turbulence is challenging through gas line observations because of the requirement for high spatial and spectral resolution data, and an exquisite determination of the temperature. In this work, taking the well-known HD 163296 disk as an example, we investigated the contrast of gaps identified in high angular resolution continuum images as a probe for the level of turbulence. With self-consistent radiative transfer models, we simultaneously analyzed the radial brightness profiles along the disk major and minor axes, and the azimuthal brightness profiles of the B67 and B100 rings. By fitting all the gap contrasts measured from these profiles, we constrained the gas-to-dust scale height ratio $\Lambda$ to be $3.0_{-0.8}^{+0.3}$, $1.2_{-0.1}^{+0.1}$ and $\ge 6.5$ for the D48, B67 and B100 regions, respectively. The varying gas-to-dust scale height ratios indicate that the degree of dust settling changes with radius. The inferred values for $\Lambda$ translate into a turbulence level of ${\alpha }_{\mathrm{turb}}<3\times 10^{-3}$ in the D48 and B100 regions, which is consistent with previous upper limits set by gas line observations. However, turbulent motions in the B67 ring are strong with ${\alpha }_{\mathrm{turb}}\sim 1.2\times 10^{-2}$. Due to the degeneracy between $\Lambda$ and the depth of dust surface density drops, the turbulence strength in the D86 gap region is not constrained.

13 pages, 7 figures, accepted for publication in Science China Physics, Mechanics & Astronomy

References in corpus (30)

• Gas- and dust evolution in protoplanetary disks
• Particle Stirring in Turbulent Gas Disks: Including Orbital Oscillations
• Ring shaped dust accumulation in transition disks
• Gaps, Rings, and Non-Axisymmetric Structures in Protoplanetary Disks - From Simulations to ALMA Observations
• A Three-Dimensional View of Turbulence: Constraints on Turbulent Motions in the HD 163296 Protoplanetary Disk using DCO${}^{+}$
• A Millimeter Continuum Size-Luminosity Relationship for Protoplanetary Disks
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: II. Full 3D Simulations toward the Outer Disk
• Measuring turbulent motion in planet-forming disks with ALMA: A detection around DM Tau and non-detections around MWC 480 and V4046 Sgr
• Structure of Herbig AeBe disks at the milliarcsecond scale A statistical survey in the H band using PIONIER-VLTI
• Convective Overstability in radially stratified accretion disks under thermal relaxation
• Millimeter imaging of HD 163296: probing the disk structure and kinematics
• Radiation Hydrodynamical Turbulence In Protoplanetary Disks: Numerical Models and Observational Constraints
• Convective overstability in accretion disks: 3D linear analysis and nonlinear saturation
• The efficiency of dust trapping in ringed proto-planetary discs
• The HD 163296 Circumstellar Disk in Scattered Light: Evidence of Time-Variable Self-Shadowing
• Estimate on dust scale height from ALMA dust continuum image of the HD 163296 protoplanetary disk
• Dust-driven viscous ring-instability in protoplanetary disks
• Global Three-Dimensional Simulations of Outer Protoplanetary Disks with Ambipolar Diffusion
• Midplane temperature and outer edge of the protoplanetary disk around HD 163296
• HD 169142 in the eyes of ZIMPOL/SPHERE
• Growing and Trapping Pebbles with Fragile Collisions of Particles in Protoplanetary Disks
• Radial variations in grain sizes and dust scale heights in the protoplanetary disk around HD 163296 revealed by ALMA polarization observation
• The asymmetric inner disk of the Herbig Ae star HD 163296 in the eyes of VLTI/MATISSE: evidence for a vortex?
• Puffed up Edges of Planet-opened Gaps in Protoplanetary Disks. I. hydrodynamic simulations
• The properties of the inner disk around HL Tau: Multi-wavelength modeling of the dust emission
• Dust continuum emission and the upper limit fluxes of sub-millimeter water lines of the protoplanetary disk around HD 163296 observed by ALMA
• Modeling the nonaxisymmetric structure in the HD 163296 disk with planet-disk interaction
• Particle Dynamics in 3D Self-gravitating Disks II: Strong Gas Accretion and Thin Dust Disks
• Dust Transport in Protoplanetary Disks with Wind-driven Accretion
• Modeling the arc and ring structures in the HD 143006 disk

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