Electric heating and angular momentum transport in laminar models of protoplanetary disks

Abstract

The vertical temperature structure of a protoplanetary disk bears on several processes relevant to planet formation, such as gas and dust grain chemistry, ice lines and convection. The temperature profile is controlled by irradiation from the central star and by any internal source of heat such as might arise from gas accretion. We investigate the heat and angular momentum transport generated by the resistive dissipation of magnetic fields in laminar disks. We use local one-dimensional simulations to obtain vertical temperature profiles for typical conditions in the inner disk (0.5 to 4 au). Using simple assumptions for the gas ionization and opacity, the heating and cooling rates are computed self-consistently in the framework of radiative non-ideal magnetohydrodynamics. We characterize steady solutions that are symmetric about the midplane and which may be associated with saturated Hall-shear unstable modes. We also examine the dissipation of electric currents driven by global accretion-ejection structures. In both cases we obtain significant heating for a sufficiently high opacity. Strong magnetic fields can induce an order-unity temperature increase in the disk midplane, a convectively unstable entropy profile, and a surface emissivity equivalent to a viscous heating of $\alpha \sim 10^{-2}$. These results show how magnetic fields may drive efficient accretion and heating in weakly ionized disks where turbulence might be inefficient, at least for a range of radii and ages of the disk.

arXiv comment19 pages, 21 figures, published in MNRAS; the previous version used an incorrect gas density to compute the opacity (2.5x lower than indicated) and ionization fraction

References in corpus (69)

• Spectral Energy Distributions of T Tauri Stars With Passive Circumstellar Disks
• Low Temperature Opacities
• Streaming Instabilities in Protoplanetary Disks
• First Results from High Angular Resolution ALMA Observations Toward the HL Tau Region
• The Disk Substructures at High Angular Resolution Project (DSHARP): I. Motivation, Sample, Calibration, and Overview
• Using FU Orionis Outbursts to Constrain Self-Regulated Protostellar Disk Models
• Accretion Disks around Young Objects. I. The Detailed Vertical Structure
• Rossby Wave Instability of Keplerian Accretion Disks
• Accretion Disks Around Young Objects. III. Grain Growth
• Linear and nonlinear evolution of the vertical shear instability in accretion discs
• Dust and Gas in the disc of HL Tauri: Surface density, dust settling, and dust-to-gas ratio
• Magnetorotational Instability in Protoplanetary Disks. II. Ionization State and Unstable Regions
• High Resolution Submillimeter Constraints on Circumstellar Disk Structure
• On the Dynamical Foundations of Alpha Disks
• Linear Analysis of the Hall Effect in Protostellar Disks
• Weak Turbulence in the HD 163296 Protoplanetary Disk Revealed by ALMA CO Observations
• Global simulations of protoplanetary disks with ohmic resistivity and ambipolar diffusion
• A Three-Dimensional View of Turbulence: Constraints on Turbulent Motions in the HD 163296 Protoplanetary Disk using DCO${}^{+}$
• Thanatology in Protoplanetary Discs: the combined influence of Ohmic, Hall, and ambipolar diffusion on dead zones
• The Balbus-Hawley instability in weakly ionised discs
• The ionization fraction in alpha-models of protoplanetary disks
• Global simulations of protoplanetary disks with net magnetic flux: I. Non-ideal MHD case
• Magnetic fields in protoplanetary disks
• Effect of Ambipolar Diffusion on the Non-linear Evolution of Magnetorotational Instability in Weakly Ionized Disks
• The molecular composition of the planet-forming regions of protoplanetary disks across the luminosity regime
• Direct mapping of the temperature and velocity gradients in discs. Imaging the vertical CO snow line around IM Lupi
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: II. Full 3D Simulations toward the Outer Disk
• Global Simulations of the Inner Regions of Protoplanetary Disks with Comprehensive Disk Microphysics
• Cooling Requirements for the Vertical Shear Instability in Protoplanetary Disks
• Local outflows from turbulent accretion disks
• Physical properties of dusty protoplanetary disks in Lupus: evidence for viscous evolution?
• Magnetic self-organisation in Hall-dominated magnetorotational turbulence
• Surface Layer Accretion in Conventional and Transitional Disks Driven by Far-Ultraviolet Ionization
• Ice Lines, Planetesimal Composition and Solid Surface Density in the Solar Nebula
• Electron-Ion Recombination on Grains and Polycyclic Aromatic Hydrocarbons
• The formation of rings and gaps in magnetically coupled disk-wind systems: ambipolar diffusion and reconnection
• Hall diffusion and the magnetorotational instability in protoplanetary discs
• The HH30 edge-on T Tauri star A rotating and precessing monopolar outflow scrutinized by ALMA
• The magnetorotational instability as a jet launching mechanism
• Global Simulations of Protoplanetary Disk Outflows with Coupled Non-ideal Magnetohydrodynamics and Consistent Thermochemistry
• Ambipolar Diffusion in the Magnetorotational Instability
• On the Linear Stability of Weakly-Ionized, Magnetized Planar Shear Flows
• Poynting Jets from Accretion Disks
• Composition of Early Planetary Atmospheres I: Connecting Disk Astrochemistry to the Formation of Planetary Atmospheres
• Advection/Diffusion of Large-Scale B-Field in Accretion Disks
• Rocky super-Earths or waterworlds: the interplay of planet migration, pebble accretion and disc evolution
• X-ray impact on the protoplanetary disks around T Tauri stars
• Consistent dust and gas models for protoplanetary disks: II. Chemical networks and rates
• Radiation Magnetohydrodynamics In Global Simulations Of Protoplanetary Disks
• Temperature Structure in the Inner Regions of Protoplanetary Disks: Inefficient Accretion Heating Controlled by Nonideal Magnetohydrodynamics
• Transport of magnetic flux and the vertical structure of accretion discs: II. Vertical profile of the diffusion coefficients
• Rossby Wave Instability in three dimensional discs
• Global evolution of the magnetic field in a thin disc and its consequences for protoplanetary systems
• The determination of protoplanetary disk masses
• Radiation hydrodynamics integrated in the code PLUTO
• Formation of rocky and icy planetesimals inside and outside the snow line: Effects of diffusion, sublimation and back-reaction
• Local models of astrophysical discs
• On the Grain-Modified Magnetic Diffusivities in Protoplanetary Disks
• Radiation thermo-chemical models of protoplanetary disks. Grain and polycyclic aromatic hydrocarbon charging
• Sulfur-Bearing Species Tracing the Disk/Envelope System in the Class I Protostellar Source Elias 29
• Ionization and Dust Charging in Protoplanetary Disks
• MRI channel flows in vertically-stratified models of accretion disks
• Global axisymmetric simulations of photoevaporation and magnetically driven protoplanetary disk winds
• Magnetorotational instability in protoplanetary discs: The effect of dust grains
• Hydrodynamic convection in accretion discs
• Grain charging in protoplanetary discs
• Local semi-analytic models of magnetic flux transport in protoplanetary discs
• Chemical network reduction in protoplanetary disks
• Magnetorotationally driven wind cycles in local disc models

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