Effect of MHD wind-driven disk evolution on the observed sizes of protoplanetary disks

Abstract

It is still unclear whether the evolution of protoplanetary disks, a key ingredient in the theory of planet formation, is driven by viscous turbulence or magnetic disk winds. As viscously evolving disks expand outward over time, the evolution of disk sizes is a discriminant test for studying disk evolution. However, it is unclear how the observed disk size changes over time if disk evolution is driven by magnetic disk winds. Combining the thermochemical code DALI with the analytical wind-driven disk evolution model presented in Tabone et al. (2021a), we study the time evolution of the observed gas outer radius as measured from CO rotational emission ($R_{\mathrm{CO},90\%}$). The evolution of $R_{\mathrm{CO},90\%}$ is driven by the evolution of the disk mass, as the physical radius stays constant over time. For a constant ${\alpha }_{\mathrm{DW}}$, an extension of the $\alpha -$Shakura-Sunyaev parameter to wind-driven accretion, $R_{\mathrm{CO},90\%}$ decreases linearly with time. Its initial size is set by the disk mass and the characteristic radius $R_c$, but only $R_c$ affects the evolution of $R_{\mathrm{CO},90\%}$, with a larger $R_c$ resulting in a steeper decrease of $R_{\mathrm{CO},90\%}$. For a time-dependent ${\alpha }_{\mathrm{DW}}$ $R_{\mathrm{CO},90\%}$ stays approximately constant during most of the disk lifetime until $R_{\mathrm{CO},90\%}$ rapidly shrinks as the disk dissipates. The constant ${\alpha }_{\mathrm{DW}}$-models are able to reproduce the observed gas disk sizes in the $\sim 1-3$ Lupus and $\sim 5-11$ Myr old Upper Sco star-forming regions. However, they likely overpredict the gas disk size of younger $(⪅0.7\mathrm{Myr})$ disks.

22 pages, 16 figures, accepted in ApJ

References in corpus (34)

• X-Shooter spectroscopy of young stellar objects in Lupus: Accretion properties of class II and transitional objects
• Which jet launching mechanism(s) in TTauri stars?
• The VLA/ALMA Nascent Disk and Multiplicity (VANDAM) Survey of Orion Protostars. A Statistical Characterization of Class 0 and I Protostellar Disks
• Chemical enrichment of giant planets and discs due to pebble drift
• Evolution of Protoplanetary Discs with Magnetically Driven Disc Winds
• Hydrocarbon emission rings in protoplanetary disks induced by dust evolution
• Mass measurements in protoplanetary disks from hydrogen deuteride
• Measuring turbulent motion in planet-forming disks with ALMA: A detection around DM Tau and non-detections around MWC 480 and V4046 Sgr
• Molecules with ALMA at Planet-forming Scales (MAPS) V: CO gas distributions
• Challenges in Planet Formation
• Different dust and gas radial extents in protoplanetary disks: consistent models of grain growth and CO emission
• CO Depletion in Protoplanetary Disks: A Unified Picture Combining Physical Sequestration and Chemical Processing
• Reprocessing of Ices in Turbulent Protoplanetary Disks: Carbon and Nitrogen Chemistry
• Testing the theory of grain growth and fragmentation by millimeter observations of protoplanetary disks
• ALMA discovery of a rotating SO/SO${}_2$ flow in HH212. A possible MHD disk wind?
• Measurement of Circumstellar Disk Sizes in the Upper Scorpius OB Association with ALMA
• Erosion and the limits to planetesimal growth
• The time evolution of dusty protoplanetary disc radii: observed and physical radii differ
• Protoplanetary disc `isochrones' and the evolution of discs in the $\dot{M}-M_{\mathrm{d}}$ plane
• ALMA reveals a large structured disk and nested rotating outflows in DG Tau B
• Constraints from Dust Mass and Mass Accretion Rate Measurements on Angular Momentum Transport in Protoplanetary Disks
• The VLA/ALMA Nascent Disk and Multiplicity (VANDAM) Survey of Orion Protostars. III. Substructures in Protostellar Disks
• Observed sizes of planet-forming disks trace viscous evolution
• Exploring the Origins of Carbon in Terrestrial Worlds
• HD far infrared emission as a measure of protoplanetary disk mass
• Measuring the ratio of the gas and dust emission radii of protoplanetary disks in the Lupus star-forming region
• Constraining disk evolution prescriptions of planet population synthesis models with observed disk masses and accretion rates
• The TW Hya Rosetta Stone Project III: Resolving the Gaseous Thermal Profile of the Disk
• Searching for kinematic evidence of Keplerian disks around Class 0 protostars with CALYPSO
• On the secular evolution of the ratio between gas and dust radii in protoplanetary discs
• Compact Disks: an explanation to faint CO emission in Lupus disks
• High-Resolution Mid-Infrared Spectroscopy of GV Tau N: Surface Accretion and Detection of Ammonia in a Young Protoplanetary Disk
• Magnetohydrodynamics of protoplanetary discs
• CO isotopolog line fluxes of viscously evolving disks: cold CO conversion insufficient to explain observed low fluxes

Cited by in corpus (14)

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• The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): I. Program Overview and Summary of First Results
• The distribution of accretion rates as a diagnostic of protoplanetary disc evolution
• On the time evolution of the $M_{\mathrm{d}}-M_{\star }$ and $\dot{M}-M_{\star }$ correlations for protoplanetary discs: the viscous timescale increases with stellar mass
• The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): VIII. The impact of external photoevaporation on disk masses and radii in Upper Scorpius
• An analytic solution to measure the gas size in protoplanetary discs in the viscous self-similar scenario
• Testing protoplanetary disc evolution with CO fluxes. A proof of concept in Lupus and Upper Sco
• Dust-Gas Coupling in Turbulence- and MHD Wind-Driven Protoplanetary Disks: Implications for Rocky Planet Formation
• Distinguishing Magnetized Disc Winds from Turbulent Viscosity through Substructure Morphology in Planet-forming Discs
• A question of personalities: evolution of viscous and wind-driven protoplanetary discs in the presence of dead zones
• A tension between dust and gas radii: the role of substructures and external photoevaporation in protoplanetary disks
• Compact CO emission and no evidence of radial drift. ALMA observations of the faintest planet-forming disks in Lupus
• Survival of Protoplanetary Disks in Upper Scorpius from Population Synthesis Models with External Photoevaporation
• Modelling the secular evolution of proto-planetary disc dust sizes -- A comparison between the viscous and magnetic wind case