Global multifluid simulations of the magnetorotational instability in radially stratified protoplanetary disks

Abstract

The redistribution of angular momentum is a long standing problem in our understanding of protoplanetary disk (PPD) evolution. The magnetorotational instability (MRI) is considered a likely mechanism. We present the results of a study involving multifluid global simulations including Ohmic dissipation, ambipolar diffusion and the Hall effect in a dynamic, self-consistent way. We focus on the turbulence resulting from the non-linear development of the MRI in radially stratified PPDs and compare with ideal MHD simulations. In the multifluid simulations the disk is initially set up to transition from a weak Hall dominated regime, where the Hall effect is the dominant non-ideal effect but approximately the same as or weaker than the inductive term, to a strong Hall dominated regime, where the Hall effect dominates the inductive term. As the simulations progress a substantial portion of the disk develops into a weak Hall dominated disk. We find a transition from turbulent to laminar flow in the inner regions of the disk, but without any corresponding overall density feature. We introduce a dimensionless parameter, ${\alpha }_{\mathrm{RM}}$, to characterise accretion with ${\alpha }_{\mathrm{RM}}\gtrsim 0.1$ corresponding to turbulent transport. We calculate the eddy turnover time, $t_{\mathrm{eddy}}$, and compared this with an effective recombination timescale, $t_{\mathrm{rcb}}$, to determine whether the presence of turbulence necessitates non-equilibrium ionisation calculations. We find that $t_{\mathrm{rcb}}$ is typically around three orders of magnitude smaller than $t_{\mathrm{eddy}}$. Also, the ionisation fraction does not vary appreciably. These two results suggest that these multifluid simulations should be comparable to single fluid non-ideal simulations.

arXiv comment13 pages, 12 figures, 1 table, accepted for publication in MNRAS

References in corpus (40)

• The Formation and Structure of a Strongly Magnetized Corona above Weakly Magnetized Accretion Disks
• A comparative study of disc-planet interaction
• Linear Analysis of the Hall Effect in Protostellar Disks
• Global Magnetohydrodynamical Simulations of Accretion Tori
• 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
• The Effect of Resistivity on the Nonlinear Stage of the Magnetorotational Instability in Accretion Disks
• MHD simulations of the magnetorotational instability in a shearing box with zero net flux. I. The issue of convergence
• The conductivity of dense molecular gas
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: II. Full 3D Simulations toward the Outer Disk
• 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
• Turbulence and angular momentum transport in a global accretion disk simulation
• Magnetically driven accretion in protoplanetary discs
• Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: I. Wind Solutions at the Inner Disk
• Global MHD simulations of stratified and turbulent protoplanetary discs. I. Model properties
• Turbulence and Steady Flows in 3D Global Stratified MHD Simulations of Accretion Disks
• Magnetic self-organisation in Hall-dominated magnetorotational turbulence
• Global MHD Simulations of Cylindrical Keplerian Disks
• Hall diffusion and the magnetorotational instability in protoplanetary discs
• Saturation and Thermalization of the Magnetorotational Instability: Recurrent Channel Flows and Reconnections
• Nonlinear Evolution of the Magnetorotational Instability in Ion-Neutral Disks
• The interaction of a giant planet with a disc with MHD turbulence I: The initial turbulent disc models
• 3D-MHD simulations of an accretion disk with star-disk boundary layer
• Global magnetohydrodynamical models of turbulence in protoplanetary disks I. A cylindrical potential on a Cartesian grid and transport of solids
• An explicit scheme for multifluid magnetohydrodynamics
• Magnetorotational instability in stratified, weakly ionised accretion discs
• A three-dimensional numerical method for modelling weakly ionized plasmas
• A numerical scheme for multifluid magnetohydrodynamics
• Angular momentum transport in protostellar discs
• MHD simulations of the magnetorotational instability in a shearing box with zero net flux: the case Pm=4
• Self-organisation in protoplanetary disks: global, non-stratified Hall-MHD simulations
• Time-Dependent, Multifluid, Magnetohydrodynamic Shock Waves with Grain Dynamics I. Formulation and Numerical Tests
• On the convergence of Magnetorotational turbulence in stratified isothermal shearing boxes
• Driven Multifluid MHD Molecular Cloud Turbulence
• Multifluid simulations of the Magnetorotational Instability in protostellar disks
• On the Anisotropic Nature of MRI-Driven Turbulence in Astrophysical Disks
• Cosmic-ray pressure driven magnetic field amplification: dimensional, radiative and field orientation effects

Cited by in corpus (8)

• Global simulations of protoplanetary disks with net magnetic flux: I. Non-ideal MHD case
• On the generation of solar spicules and Alfvénic waves
• The role of magnetic fields in the formation of protostellar discs
• Global Hydromagnetic Simulations of Protoplanetary Disks with Stellar Irradiation and Simplified Thermochemistry
• Dust segregation in Hall-dominated turbulent protoplanetary disks
• Magnetohydrodynamics of protoplanetary discs
• Stellar cosmic rays as an important source of ionisation in protoplanetary disks: a disk mass dependent process
• Self-similar structure of resistive ADAFs with outflow and large-scale magnetic field