Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks

We report the finding of a new, local diffusion instability in a protoplanetary disk which can operate in a dust fluid, subject to mass diffusion, shear viscosity, and dust–gas drag, provided the diffusivity, viscosity, or both, decrease sufficiently rapidly with increasing dust surface mass density...

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Main Authors: Konstantin Gerbig, Min-Kai Lin, Marius Lehmann
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad1114
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author Konstantin Gerbig
Min-Kai Lin
Marius Lehmann
author_facet Konstantin Gerbig
Min-Kai Lin
Marius Lehmann
author_sort Konstantin Gerbig
collection DOAJ
description We report the finding of a new, local diffusion instability in a protoplanetary disk which can operate in a dust fluid, subject to mass diffusion, shear viscosity, and dust–gas drag, provided the diffusivity, viscosity, or both, decrease sufficiently rapidly with increasing dust surface mass density. We devise a vertically averaged, axisymmetric hydrodynamic model to describe a dense, midplane dust layer in a protoplanetary disk. The gas is modeled as a passive component, imposing an effective, diffusion-dependent pressure, mass diffusivity, and viscosity onto the otherwise collisionless dust fluid, via turbulence excited by the gas alone, or dust and gas in combination. In particular, we argue that such conditions are met when the dust–gas mixture generates small-scale turbulence through the streaming instability, as supported by recent measurements of dust mass diffusion slopes in simulations. We hypothesize that the newly discovered instability may be the origin of filamentary features, almost ubiquitously found in simulations of the streaming instability. In addition, our model allows for growing oscillatory modes, which operate in a similar fashion as the axisymmetric viscous overstability in dense planetary rings. However, it remains speculative if the required conditions for such modes can be met in protoplanetary disks.
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spelling doaj.art-e77a41162acb44638856ab63ff5b470d2024-01-25T11:21:30ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-01961218310.3847/1538-4357/ad1114Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary DisksKonstantin Gerbig0https://orcid.org/0000-0002-4836-1310Min-Kai Lin1https://orcid.org/0000-0002-8597-4386Marius Lehmann2https://orcid.org/0000-0002-0496-3539Department of Astronomy, Yale University , New Haven, CT 06511, USA ; konstantin.gerbig@yale.eduInstitute of Astronomy and Astrophysics , Academia Sinica, Taipei 10617, Taiwan; Physics Division, National Center for Theoretical Sciences , Taipei 10617, TaiwanInstitute of Astronomy and Astrophysics , Academia Sinica, Taipei 10617, TaiwanWe report the finding of a new, local diffusion instability in a protoplanetary disk which can operate in a dust fluid, subject to mass diffusion, shear viscosity, and dust–gas drag, provided the diffusivity, viscosity, or both, decrease sufficiently rapidly with increasing dust surface mass density. We devise a vertically averaged, axisymmetric hydrodynamic model to describe a dense, midplane dust layer in a protoplanetary disk. The gas is modeled as a passive component, imposing an effective, diffusion-dependent pressure, mass diffusivity, and viscosity onto the otherwise collisionless dust fluid, via turbulence excited by the gas alone, or dust and gas in combination. In particular, we argue that such conditions are met when the dust–gas mixture generates small-scale turbulence through the streaming instability, as supported by recent measurements of dust mass diffusion slopes in simulations. We hypothesize that the newly discovered instability may be the origin of filamentary features, almost ubiquitously found in simulations of the streaming instability. In addition, our model allows for growing oscillatory modes, which operate in a similar fashion as the axisymmetric viscous overstability in dense planetary rings. However, it remains speculative if the required conditions for such modes can be met in protoplanetary disks.https://doi.org/10.3847/1538-4357/ad1114Protoplanetary disksPlanet formationCircumstellar dustHydrodynamicsAstrophysical dust processesAstrophysical fluid dynamics
spellingShingle Konstantin Gerbig
Min-Kai Lin
Marius Lehmann
Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
The Astrophysical Journal
Protoplanetary disks
Planet formation
Circumstellar dust
Hydrodynamics
Astrophysical dust processes
Astrophysical fluid dynamics
title Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
title_full Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
title_fullStr Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
title_full_unstemmed Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
title_short Filament Formation due to Diffusive Instabilities in Dusty Protoplanetary Disks
title_sort filament formation due to diffusive instabilities in dusty protoplanetary disks
topic Protoplanetary disks
Planet formation
Circumstellar dust
Hydrodynamics
Astrophysical dust processes
Astrophysical fluid dynamics
url https://doi.org/10.3847/1538-4357/ad1114
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