Impact of dimensionless numbers on the efficiency of MRI-induced turbulent transport

Abstract

The magneto-rotational instability is presently the most promising source of turbulent transport in accretion disks. However, some important issues still need to be addressed to quantify the role of MRI in disks; in particular no systematic investigation of the role of the physical dimensionless parameters of the problem on the dimensionless transport has been undertaken yet. First, we complete existing investigations on the field strength dependence by showing that the transport in high magnetic pressure disks close to marginal stability is highly time-dependent and surprisingly efficient. Second, we bring to light a significant dependence of the global transport on the magnetic Prandtl number, with $\alpha \propto P{m}^{\delta }$ for the explored range: $0.12<Pm<8$ and $200<Re<6400$ ($\delta$ being in the range 0.25 to 0.5). We show that the dimensionless transport is not correlated to the dimensionless linear growth rate, contrarily to a largely held expectation. More generally, these results stress the need to control dissipation processes in astrophysical simulations.

11 pages, 11 figures, accepted to MNRAS

References in corpus (2)

• Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks
• A weakly nonlinear analysis of the magnetorotational instability in a model channel flow

Cited by in corpus (74)

• MHD simulations of the magnetorotational instability in a shearing box with zero net flux. II. The effect of transport coefficients
• MHD simulations of the magnetorotational instability in a shearing box with zero net flux. I. The issue of convergence
• Evolution of Protoplanetary Discs with Magnetically Driven Disc Winds
• In-situ switchback formation in the expanding solar wind
• Magnetic Flux Concentration and Zonal Flows in Magnetorotational Instability Turbulence
• Global MHD simulations of stratified and turbulent protoplanetary discs. II. Dust settling
• On the Magnetic Prandtl Number Behavior of Accretion Disks
• Magnetorotational Turbulence and Dynamo in a Collisionless Plasma
• On Self-Sustained Dynamo Cycles in Accretion Discs
• New composite models of partially ionized protoplanetary disks
• Aspect ratio dependence in magnetorotational instability shearing box simulations
• Simulations of Magnetorotational Turbulence with a Higher-Order Godunov Scheme
• High accretion rates in magnetised Keplerian discs mediated by a Parker instability driven dynamo
• Intertial wave turbulence driven by elliptical instability
• Viscous, Resistive Magnetorotational Modes
• The role of the disk magnetization on the hysteresis behavior of X-ray binaries
• How important is non-ideal physics in simulations of sub-Eddington accretion onto spinning black holes?
• A global model of the magnetorotational instability in protoneutron stars
• On the viability of the shearing box approximation for numerical studies of MHD turbulence in accretion disks
• Neutrino viscosity and drag: impact on the magnetorotational instability in protoneutron stars
• Numerical simulations of the magnetorotational instability in protoneutron stars: I. Influence of buoyancy
• Numerical experiments on dynamo action in sheared and rotating turbulence
• Dwarf Nova Outbursts with Magnetorotational Turbulence
• Angular momentum transport and large eddy simulations in magnetorotational turbulence: the small Pm limit
• MRI-driven $\alpha -\Omega$ dynamos in protoneutron stars
• Fluctuation dynamo in a weakly collisional plasma
• General relativistic radiation magnetohydrodynamics simulations of supercritical accretion onto magnetized neutron star; -modeling of ultra luminous x-ray pulsars
• Saturation of the MRI in Strongly Radiation Dominated Accretion Disks
• Surfing on turbulence: a strategy for planktonic navigation
• IDEFIX: a versatile performance-portable Godunov code for astrophysical flows
• Statistical simulation of the magnetorotational dynamo
• Axisymmetric Magnetorotational Instability in Viscous Accretion Disks
• Subcritical dynamos in shear flows
• Dissipative effects on the sustainment of a magnetorotational dynamo in Keplerian shear flow
• Observation of axisymmetric standard magnetorotational instability in the laboratory
• Magnetorotational dynamo chimeras. The missing link to turbulent accretion disk dynamo models?
• Nonlinear transverse cascade and two-dimensional magnetohydrodynamic subcritical turbulence in plane shear flows
• MRI-driven dynamo at very high magnetic Prandtl numbers
• Local simulations of MRI turbulence with meshless methods
• A unifying picture of helical and azimuthal MRI, and the universal significance of the Liu limit
• Localized magnetorotational instability and its role in the accretion disc dynamo
• Shearing-box simulations of MRI-driven turbulence in weakly collisional accretion discs
• Saturation of the magnetorotational instability and the origin of magnetically elevated accretion discs
• On-off intermittency and amplitude-phase synchronization in Keplerian shear flows
• Zero net flux MRI-turbulence in disks $-$ sustenance scheme and magnetic Prandtl number dependence
• MRI turbulence in accretion discs at large magnetic Prandtl numbers
• Magnetorotational instability with smoothed particle hydrodynamics
• Small-scale dynamos on the solar surface: dependence on magnetic Prandtl number
• Nonlinear transverse cascade and sustenance of MRI-turbulence in Keplerian disks with an azimuthal magnetic field
• Axisymmetric simulations of the convective overstability in protoplanetary discs
• Microphysical dissipation, turbulence and magnetic fields in hyper-accreting discs
• Tidal dissipation due to the elliptical instability and turbulent viscosity in convection zones in rotating giant planets and stars
• Magnetohydrodynamics of protoplanetary discs
• Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics
• Interplay between geostrophic vortices and inertial waves in precession-driven turbulence
• Magnetic Fields In Astrophysical Objects
• Interaction of the magnetorotational instability with hydrodynamic turbulence in accretion disks
• Universal small-scale structure in turbulence driven by magnetorotational instability
• Sustained Turbulence in Differentially Rotating Magnetized Fluids at Low Magnetic Prandtl Number
• Nonlinear evolution of the magnetorotational instability in eccentric disks
• Magneto-Thermal Instability In Galaxy Clusters I: Theory and Two-Dimensional Simulations
• Long-term Nonlinear Behaviour of the Magnetorotational Instability in a Localised Model of an Accretion Disc
• MRI turbulence in vertically stratified accretion discs at large magnetic Prandtl numbers
• A non-local magneto-curvature instability in a differentially rotating disk
• Scaling of Turbulent Viscosity and Resistivity: Extracting a Scale-dependent Turbulent Magnetic Prandtl Number
• Structure of Protoplanetary Discs with Magnetically-driven Winds
• The interactions of the elliptical instability and convection
• Calliope: Pseudospectral shearing magnetohydrodynamics code with a pencil decomposition
• Spectral Methods for Time-Dependent Studies of Accretion Flows. III. Three-Dimensional, Self-gravitating, Magnetohydrodynamic Disks
• Boosting Magnetic Reconnection by Viscosity and Thermal Conduction
• Magneto-rotational instability in magnetically polarized discs
• Hydrodynamical activity in thin accretion disks
• Self-similar structure of resistive ADAFs with outflow and large-scale magnetic field
• An effective model for magnetic field amplification by the magnetorotational and parasitic instabilities