How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?

It remains unclear what mechanism is driving the evolution of protoplanetary disks. Direct detection of the main candidates, either turbulence driven by magnetorotational instabilities or magnetohydrodynamical disk winds, has proven difficult, leaving the time evolution of the disk size as one of th...

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Main Authors: Leon Trapman, Giovanni Rosotti, Ke Zhang, Benoît Tabone
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ace7d1
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author Leon Trapman
Giovanni Rosotti
Ke Zhang
Benoît Tabone
author_facet Leon Trapman
Giovanni Rosotti
Ke Zhang
Benoît Tabone
author_sort Leon Trapman
collection DOAJ
description It remains unclear what mechanism is driving the evolution of protoplanetary disks. Direct detection of the main candidates, either turbulence driven by magnetorotational instabilities or magnetohydrodynamical disk winds, has proven difficult, leaving the time evolution of the disk size as one of the most promising observables able to differentiate between these two mechanisms. But to do so successfully, we need to understand what the observed gas disk size actually traces. We studied the relation between R _CO,90% , the radius that encloses 90% of the ^12 CO flux, and R _c , the radius that encodes the physical disk size, in order to provide simple prescriptions for conversions between these two sizes. For an extensive grid of thermochemical models, we calculate R _CO,90% from synthetic observations and relate properties measured at this radius, such as the gas column density, to bulk disk properties, such as R _c and the disk mass M _disk . We found an empirical correlation between the gas column density at R _CO,90% and disk mass: ${N}_{\mathrm{gas}}{({R}_{\mathrm{CO},90 \% })\approx 3.73\,\times \,{10}^{21}({M}_{\mathrm{disk}}/{M}_{\odot })}^{0.34}\ {\mathrm{cm}}^{-2}$ . Using this correlation we derive an analytical prescription of R _CO,90% that only depends on R _c and M _disk . We derive R _c for disks in Lupus, Upper Sco, Taurus, and the DSHARP sample, finding that disks in the older Upper Sco region are significantly smaller (〈 R _c 〉 = 4.8 au) than disks in the younger Lupus and Taurus regions (〈 R _c 〉 = 19.8 and 20.9 au, respectively). This temporal decrease in R _c goes against predictions of both viscous and wind-driven evolution, but could be a sign of significant external photoevaporation truncating disks in Upper Sco.
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spelling doaj.art-02c747787b0446bfa71bdce629b696c72023-09-03T12:38:50ZengIOP PublishingThe Astrophysical Journal1538-43572023-01-0195414110.3847/1538-4357/ace7d1How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?Leon Trapman0https://orcid.org/0000-0002-8623-9703Giovanni Rosotti1https://orcid.org/0000-0003-4853-5736Ke Zhang2https://orcid.org/0000-0002-0661-7517Benoît Tabone3https://orcid.org/0000-0002-1103-3225Department of Astronomy, University of Wisconsin-Madison , 475 N Charter St, Madison, WI 53706, USA ; ltrapman@wisc.eduDipartimento di Fisica, Università degli Studi di Milano , Via Giovanni Celoria, 16, I-20133 Milano, Italy; School of Physics and Astronomy, University of Leicester , Leicester, LE1 7RH, UK; Leiden Observatory, Leiden University , 2300 RA Leiden, The NetherlandsDepartment of Astronomy, University of Wisconsin-Madison , 475 N Charter St, Madison, WI 53706, USA ; ltrapman@wisc.eduLeiden Observatory, Leiden University , 2300 RA Leiden, The Netherlands; Université Paris-Saclay , CNRS, Institut d’Astrophysique Spatiale, F-91405 Orsay, FranceIt remains unclear what mechanism is driving the evolution of protoplanetary disks. Direct detection of the main candidates, either turbulence driven by magnetorotational instabilities or magnetohydrodynamical disk winds, has proven difficult, leaving the time evolution of the disk size as one of the most promising observables able to differentiate between these two mechanisms. But to do so successfully, we need to understand what the observed gas disk size actually traces. We studied the relation between R _CO,90% , the radius that encloses 90% of the ^12 CO flux, and R _c , the radius that encodes the physical disk size, in order to provide simple prescriptions for conversions between these two sizes. For an extensive grid of thermochemical models, we calculate R _CO,90% from synthetic observations and relate properties measured at this radius, such as the gas column density, to bulk disk properties, such as R _c and the disk mass M _disk . We found an empirical correlation between the gas column density at R _CO,90% and disk mass: ${N}_{\mathrm{gas}}{({R}_{\mathrm{CO},90 \% })\approx 3.73\,\times \,{10}^{21}({M}_{\mathrm{disk}}/{M}_{\odot })}^{0.34}\ {\mathrm{cm}}^{-2}$ . Using this correlation we derive an analytical prescription of R _CO,90% that only depends on R _c and M _disk . We derive R _c for disks in Lupus, Upper Sco, Taurus, and the DSHARP sample, finding that disks in the older Upper Sco region are significantly smaller (〈 R _c 〉 = 4.8 au) than disks in the younger Lupus and Taurus regions (〈 R _c 〉 = 19.8 and 20.9 au, respectively). This temporal decrease in R _c goes against predictions of both viscous and wind-driven evolution, but could be a sign of significant external photoevaporation truncating disks in Upper Sco.https://doi.org/10.3847/1538-4357/ace7d1Protoplanetary disksAstrochemistry
spellingShingle Leon Trapman
Giovanni Rosotti
Ke Zhang
Benoît Tabone
How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
The Astrophysical Journal
Protoplanetary disks
Astrochemistry
title How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
title_full How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
title_fullStr How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
title_full_unstemmed How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
title_short How Large Is a Disk—What Do Protoplanetary Disk Gas Sizes Really Mean?
title_sort how large is a disk what do protoplanetary disk gas sizes really mean
topic Protoplanetary disks
Astrochemistry
url https://doi.org/10.3847/1538-4357/ace7d1
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