Steady-state accretion in magnetized protoplanetary disks

Abstract

[abridged] We present a 1+1D global magnetically-driven disk accretion model that captures the essence of the MRI-driven accretion, without resorting to 3D global non-ideal MHD simulations. The gas dynamics is assumed to be solely controlled by the MRI and hydrodynamic instabilities. For given stellar and disk parameters, the Shakura-Sunyaev viscosity parameter $\alpha$ is determined self-consistently under the framework of viscously-driven accretion from detailed considerations of the MRI with non-ideal MHD effects (Ohmic resistivity and ambipolar diffusion), accounting for disk heating by stellar irradiation, non-thermal sources of ionization, and dust effects on the ionization chemistry. Additionally, the magnetic field strength is constrained and adopted to maximize the MRI activity. We demonstrate the use of our framework by investigating steady-state MRI-driven accretion in a fiducial protoplanetary disk model around a solar-type star. We find that the equilibrium solution displays no pressure maximum at the dead zone outer edge, except if a sufficient amount of dust particles have accumulated there before the disk reaches a steady-state accretion regime. Furthermore, the steady-state accretion solution describes a disk that displays a spatially extended long-lived inner disk gas reservoir (the dead zone) accreting a few $10^{-9}{M}_{\odot }.{\mathrm{yr}}^{-1}$. By conducting a detailed parameter study, we find that the extend to which the MRI can drive efficient accretion is primarily determined by the total disk gas mass, the representative grain size, the vertically-integrated dust-to-gas mass ratio, and the stellar X-ray luminosity. A self-consistent time-dependent coupling between gas, dust, stellar evolution models and our general framework on million-year timescales is required to fully understand the formation of dead zones and their potential to trap dust particles.

Accepted for publication in A&A

References in corpus (131)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• Astropy: A Community Python Package for Astronomy
• Disk Frequencies and Lifetimes in Young Clusters
• First Results from High Angular Resolution ALMA Observations Toward the HL Tau Region
• The UMIST database for astrochemistry 2012
• Discovery of a planetary-mass companion within the gap of the transition disk around PDS 70
• Dust coagulation in protoplanetary disks: a rapid depletion of small grains
• Gas- and dust evolution in protoplanetary disks
• Ringed Substructure and a Gap at 1 AU in the Nearest Protoplanetary Disk
• Wind-driven Accretion in Protoplanetary Disks. I: Suppression of the Magnetorotational Instability and Launching of the Magnetocentrifugal Wind
• Dynamics of Protoplanetary Disks
• Accretion Disks Around Young Objects. II. Tests of Well-Mixed Models with Ism Dust
• A Steeper than Linear Disk Mass-Stellar Mass Scaling Relation
• The Formation and Structure of a Strongly Magnetized Corona above Weakly Magnetized Accretion Disks
• Linear and nonlinear evolution of the vertical shear instability in accretion discs
• Turbulence in Accretion Disks. Vorticity Generation and Angular Momentum Transport via the Global Baroclinic Instability
• Ring shaped dust accumulation in transition disks
• Dust Filtration by Planet-Induced Gap Edges: Implications for Transitional Disks
• Gaps, Rings, and Non-Axisymmetric Structures in Protoplanetary Disks - From Simulations to ALMA Observations
• The XMM-Newton Extended Survey of the Taurus Molecular Cloud (XEST)
• The locality of transport in self-gravitating accretion discs
• Spiral Density Waves in a Young Protoplanetary Disk
• Linear Analysis of the Hall Effect in Protostellar Disks
• Enhanced cosmic-ray flux toward zeta Persei inferred from laboratory study of H3+ - e- recombination rate
• A Kinematical Detection of Two Embedded Jupiter Mass Planets in HD 163296
• Angular Momentum Transport by MHD Turbulence in Accretion Disks: Gas Pressure Dependence of the Saturation Level of the Magnetorotational Instability
• Local Magnetohydrodynamical Models of Layered Accretion Disks
• Dust Evolution and the Formation of Planetesimals
• Thanatology in Protoplanetary Discs: the combined influence of Ohmic, Hall, and ambipolar diffusion on dead zones
• Disk Winds Driven by Magnetorotational Instability and Dispersal of Proto-Planetary Disks
• The Effect of Resistivity on the Nonlinear Stage of the Magnetorotational Instability in Accretion Disks
• Grain Retention and Formation of Planetesimals near the Snow Line in MRI-driven Turbulent Protoplanetary Disks
• Magnetic fields in protoplanetary disks
• Towards a Global Evolutionary Model of Protoplanetary Disks
• Electric charging of dust aggregates and its effect on dust coagulation in protoplanetary disks
• The conductivity of dense molecular gas
• Observational Signatures of Planets in Protoplanetary Disks II: Spiral Arms Observed in Scattered Light Imaging Can be Induced by Planets
• Exclusion of Cosmic Rays in Protoplanetary Disks: Stellar and Magnetic Effects
• Meridional flows in the disk around a young star
• Effect of Ambipolar Diffusion on the Non-linear Evolution of Magnetorotational Instability in Weakly Ionized Disks
• Exploring brown dwarf disks: A 1.3 mm survey in Taurus
• Turbulent Mixing and the Dead Zone in Protostellar Disks
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: II. Full 3D Simulations toward the Outer Disk
• Dust settling in local simulations of turbulent protoplanetary disks
• Heat and Dust in Active Layers of Protostellar Disks
• Magneto-thermal Disk Wind from Protoplanetary Disks
• Probing dust grain evolution in IM Lupi's circumstellar disc. Multi-wavelength observations and modelling of the dust disc
• Trapping Solids at the Inner Edge of the Dead Zone: 3-D Global MHD Simulations
• Turbulence In the Outer Regions of Protoplanetary Disks. II. Strong Accretion Driven by a Vertical Magnetic Field
• Magnetorotational Instability Driven Accretion in Protoplanetary Disks
• The Effect of the Hall Term on the Nonlinear Evolution of the Magnetorotational Instability: II. Saturation Level and Critical Magnetic Reynolds Number
• The Effect of the Hall Term on the Nonlinear Evolution of the Magnetorotational Instability: I. Local Axisymmetric Simulations
• Observations of edge-on protoplanetary disks with ALMA I. Results from continuum data
• X-Shooter study of accretion in Chamaeleon I: II. A steeper increase of accretion with stellar mass for very low mass stars?
• Reviving Dead Zones in Accretion Disks by Rossby Vortices at their Boundaries
• Planetesimal formation around the snow line in MRI-driven turbulent protoplanetary disks
• Cooling Requirements for the Vertical Shear Instability in Protoplanetary Disks
• Protoplanetary Disk Winds by Magnetorotational Instability : Formation of an Inner Hole and a Crucial Assist for Planet Formation
• Magnetically driven accretion in protoplanetary discs
• Global Evolution of an Accretion Disk with Net Vertical Field: Coronal Accretion, Flux Transport, and Disk Winds
• Dead Zone Accretion Flows in Protostellar Disks
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: I. Wind Solutions at the Inner Disk
• Direct detection of scattered light gaps in the transitional disk around HD 97048 with VLT/SPHERE
• Modeling Magnetorotational Turbulence in Protoplanetary Disks with Dead Zones
• Turbulence and Steady Flows in 3D Global Stratified MHD Simulations of Accretion Disks
• Magnetic self-organisation in Hall-dominated magnetorotational turbulence
• Surface Layer Accretion in Conventional and Transitional Disks Driven by Far-Ultraviolet Ionization
• Turbulence In the Outer Regions of Protoplanetary Disks. I. Weak Accretion with No Vertical Magnetic Flux
• Reduction of chemical networks. II. Analysis of the fractional ionisation in protoplanetary discs
• Can dead zones create structures like a transition disk?
• Global MHD simulations of stratified and turbulent protoplanetary discs. II. Dust settling
• The formation of rings and gaps in magnetically coupled disk-wind systems: ambipolar diffusion and reconnection
• Asymmetric transition disks: Vorticity or eccentricity?
• Protoplanetary Disk Masses from Stars to Brown Dwarfs
• Hall diffusion and the magnetorotational instability in protoplanetary discs
• Magnetized Accretion and Dead Zones in Protostellar Disks
• Imaging diagnostics for transitional discs
• Resistivity-driven State Changes in Vertically Stratified Accretion Disks
• Dust Transport in Protostellar Disks Through Turbulence and Settling
• On the Linear Stability of Weakly-Ionized, Magnetized Planar Shear Flows
• Multiple rings in the transition disk and companion candidates around RXJ1615.3-3255. High contrast imaging with VLT/SPHERE
• ALMA Observations of a Gap and a Ring in the Protoplanetary Disk around TW Hya
• A stellar mass dependence of structured disks: a possible link with exoplanet demographics
• Secular evolution of viscous and self-gravitating circumstellar discs
• Assembling the Building Blocks of Giant Planets around Intermediate Mass Stars
• Hall-effect Mediated Magnetic Flux Transport in Protoplanetary Disks
• Self-Sustained Ionization and Vanishing Dead Zones in Protoplanetary Disks
• Gas and dust structures in protoplanetary disks hosting multiple planets
• Gas and dust dynamics in starlight-heated protoplanetary disks
• Scattered light images of spiral arms in marginally gravitationally unstable discs with an embedded planet
• New composite models of partially ionized protoplanetary disks
• A systematic description of wind-driven protoplanetary discs
• Heating and Cooling Protostellar Disks
• Evidence for a circumplanetary disk around protoplanet PDS 70 b
• Temperature Structure in the Inner Regions of Protoplanetary Disks: Inefficient Accretion Heating Controlled by Nonideal Magnetohydrodynamics
• A Parameter Study for Baroclinic Vortex Amplification
• Turbulence in weakly-ionized proto-planetary disks
• The fate of planetesimals in turbulent disks with dead zones. II. Limits on the viability of runaway accretion
• Perturbers: SPHERE detection limits to planetary-mass companions in protoplanetary disks
• Global Three-Dimensional Simulations of Outer Protoplanetary Disks with Ambipolar Diffusion
• Planetesimal formation via sweep-up growth at the inner edge of dead zones
• Angular Momentum Transport in Protoplanetary and Black-Hole Accretion Disks: The Role of Parasitic Modes in the Saturation of MHD Turbulence
• Size and structures of disks around very low mass stars in the Taurus star-forming region
• The formation of rings and gaps in wind-launching non-ideal MHD disks: three-dimensional simulations
• Spatial segregation of dust grains in transition disks. SPHERE observations of 2MASS J16083070-3828268 and RXJ1852.3-3700
• On the Ionisation Fraction in Protoplanetary Disks II: The Effect of Turbulent Mixing on Gas--phase Chemistry
• Radial Transport of Large-Scale Magnetic Fields in Accretion Disks. I. Steady Solutions and an Upper Limit on the Vertical Field Strength
• Global evolution of the magnetic field in a thin disc and its consequences for protoplanetary systems
• Stellar energetic particle ionization in protoplanetary disks around T Tauri stars
• Radionuclide Ionization in Protoplanetary Disks: Calculations of Decay Product Radiative Transfer
• Planetesimal Formation in Magnetorotationally Dead Zones: Critical Dependence on the Net Vertical Magnetic Flux
• Rings and gaps produced by variable magnetic disk winds and avalanche accretion streams: I. Axisymmetric resistive MHD simulations
• Dead, Undead and Zombie Zones in Protostellar Disks as a Function of Stellar Mass
• Photoevaporative Dispersal of Protoplanetary Disks around Evolving Intermediate-mass Stars
• On Hydrodynamic Motions in Dead Zones
• High Resolution Parameter Study of the Vertical Shear Instability
• Magnetically Induced Disk Winds and Transport in the HL Tau Disk
• Radiation pressure clear-out of dusty photoevaporating discs
• Dust diffusion and settling in the presence of collisions: Trapping (sub)micron grains in the midplane
• Large gaps and high accretion rates in photoevaporative transition disks with a dead zone
• Evolution of the Water Snow Line in Magnetically Accreting Protoplanetary Disks
• MRI-active inner regions of protoplanetary discs. I. A detailed model of disc structure
• On the Grain-Modified Magnetic Diffusivities in Protoplanetary Disks
• Global simulations of magnetorotational turbulence I: convergence and the quasi-steady state
• Inside-Out Planet Formation. V. Structure of the Inner Disk as Implied by the MRI
• Radial Transport of Large-Scale Magnetic Fields in Accretion Disks. II. Relaxation to Steady States
• Rayleigh Adjustment of Narrow Barriers in Protoplanetary Discs
• Spiral structures in gravito-turbulent gaseous disks
• Equilibrium disks, MRI mode excitation, and steady state turbulence in global accretion disk simulations
• Observability of the Vertical Shear Instability in protoplanetary disk CO kinematics

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• Transition disks: the observational revolution from SEDs to imaging
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