Shear rate dependence and the effect of resistivity in magneto-rotationally unstable, stratified disks

Citation
U. Ziegler et G. Rudiger, Shear rate dependence and the effect of resistivity in magneto-rotationally unstable, stratified disks, ASTRON ASTR, 378(2), 2001, pp. 668-678
Citations number
29
Categorie Soggetti
Space Sciences
Journal title
ASTRONOMY & ASTROPHYSICS
ISSN journal
14320746 → ACNP
Volume
378
Issue
2
Year of publication
2001
Pages
668 - 678
Database
ISI
SICI code
1432-0746(200111)378:2<668:SRDATE>2.0.ZU;2-2
Abstract
We study the effect of resistivity and variation of shear rate, q = -d log Omega /dR, on the magneto-rotational instability in stratified disks. Speci al attention is paid to dynamo alpha -action and transport properties of th e flow. The 3D magnetohydrodynamical simulations are performed in the local shearing-box approximation employing the code NIRVANA. Due to the chosen t ype of vertical boundary condition a mean azimuthal magnetic field is gener ated which is related to dynamo alpha -action. The corresponding alpha -par ameter is negative (positive) in the northern (southern) disk hemisphere. T his result is independent of q ranging between 0.6 and 1.5 and independent of the amount of diffusivity. The magnitude of alpha typically declines wit h decreasing q. We suggest a natural limit in the vicinity of q = 0.6 below which alpha -action may be suppressed completely. Resistivity has a signif icant influence on the magnetic energy level of the final state. It is redu ced for decreasing magnetic Reynolds number, Re-m, as one might expect. How ever, the magneto-rotational instability is able to sustain an angular mome ntum transport of sufficient amount against diffusion even for the most dif fusive case we considered, with Re-m = 200. The Shakura-Sunyaev parameter i n this case is roughly 1/3 of that of the non-resistive model with the domi nant contribution provided by the Reynolds stress rather than Maxwell stres s. The dynamo alpha -effect is found to vanish for strong dissipation.