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Magnetorotational instability in protoplanetary discs

Salmeron, Raquel; Wardle, Mark

Description

We investigate the linear growth and vertical structure of the magnetorotational instability (MRI) in weakly ionized, stratified accretion discs. The magnetic field is initially vertical and dust grains are assumed to have settled towards the mid-plane, so charges are carried by electrons and ions only. Solutions are obtained at representative radial locations from the central protostar for different choices of the initial magnetic field strength, sources of ionization, disc structure and...[Show more]

dc.contributor.authorSalmeron, Raquel
dc.contributor.authorWardle, Mark
dc.date.accessioned2015-12-08T22:20:13Z
dc.identifier.issn0035-8711
dc.identifier.urihttp://hdl.handle.net/1885/31894
dc.description.abstractWe investigate the linear growth and vertical structure of the magnetorotational instability (MRI) in weakly ionized, stratified accretion discs. The magnetic field is initially vertical and dust grains are assumed to have settled towards the mid-plane, so charges are carried by electrons and ions only. Solutions are obtained at representative radial locations from the central protostar for different choices of the initial magnetic field strength, sources of ionization, disc structure and configuration of the conductivity tensor. The MRI is active over a wide range of magnetic field strengths and fluid conditions in low-conductivity discs. Moreover, no evidence was found of a low-limit field strength below which unstable modes do not exist. For the minimum-mass solar nebula model, incorporating cosmic ray ionization, perturbations grow at 1 au for B ≲ 8 G. For a significant subset of these strengths (200 mG ≲ B ≲ 5 G), the maximum growth rate is of the order of the ideal magnetohydrodynamic (MHD) rate (0.75 Ω). Hall conductivity modifies the structure and growth rate of global unstable modes at 1 au for all magnetic field strengths that support MRI. As a result, at this radius, modes obtained with a full conductivity tensor grow faster and are active over a more extended cross-section of the disc than perturbations in the ambipolar diffusion limit. For relatively strong fields (e.g. B ≳ 200 mG), ambipolar diffusion alters the envelope shapes of the unstable modes, which peak at an intermediate height, instead of being mostly flat as modes in the Hall limit are in this region of parameter space. Similarly, when cosmic rays are assumed to be excluded from the disc by the winds emitted by the magnetically active protostar, unstable modes grow at this radius for B ≲ 2 G. For strong fields, perturbations exhibit a kink at the height where X-ray ionization becomes active. Finally, for R = 5 au (10 au), unstable modes exist for B ≲ 800 mG (B ≲ 250 mG) and the maximum growth rate is close to the ideal-MHD rate for 20 ≲ B≲ 500 mG (2 ≲ B ≲ 50 mG). Similarly, perturbations incorporating Hall conductivity have a higher wavenumber and grow faster than solutions in the ambipolar diffusion limit for B ≲ 100 mG (B ≲ 10 mG). Unstable modes grow even at the mid-plane for B ≳ 100 mG (B ∼ 1 mG), but for weaker fields, a small dead region exists. This study shows that, despite the low magnetic coupling, the magnetic field is dynamically important for a large range of fluid conditions and field strengths in protostellar discs. An example of such magnetic activity is the generation of MRI unstable modes, which are supported at 1 au for field strengths up to a few gauss. Hall diffusion largely determines the structure and growth rate of these perturbations for all studied radii. At radii of order 1 au, in particular, it is crucial to incorporate the full conductivity tensor in the analysis of this instability and more generally in studies of the dynamics of astrophysical discs.
dc.publisherBlackwell Publishing Ltd
dc.sourceMonthly Notices of the Royal Astronomical Society
dc.subjectKeywords: Accretion, accretion discs; Instabilities; MHD; Stars: formation
dc.titleMagnetorotational instability in protoplanetary discs
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume361
dc.date.issued2005
local.identifier.absfor020110 - Stellar Astronomy and Planetary Systems
local.identifier.ariespublicationu3379551xPUB87
local.type.statusPublished Version
local.contributor.affiliationSalmeron, Raquel, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWardle, Mark, Macquarie University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage45
local.bibliographicCitation.lastpage69
local.identifier.doi10.1111/j.1365-2966.2005.09060.x
dc.date.updated2015-12-08T08:28:52Z
local.identifier.scopusID2-s2.0-22944470518
CollectionsANU Research Publications

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