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A Local Model for Angular Momentum Transport in Accretion Disks Driven by the Magnetorotational Instability

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We develop a local model for the exponential growth and saturation of the Reynolds and Maxwell stresses in turbulent flows driven by the magnetorotational instability. We first derive equations that describe the effects of the instability on the growth and pumping of the stresses. We highlight the relevance of a new type of correlations that couples the dynamical evolution of the Reynolds and Maxwell stresses and plays a key role in developing and sustaining the magnetorotational turbulence. We then supplement these equations with a phenomenological description of the triple correlations that lead to a saturated turbulent state. We show that the steady-state limit of the model describes successfully the correlations among stresses found in numerical simulations of shearing boxes.
OriginalsprogEngelsk
TidsskriftPhysical Review Letters
Vol/bind97
Udgave nummer22
Sider (fra-til)221103
Antal sider4
ISSN0031-9007
DOI
StatusUdgivet - 1 dec. 2006

ID: 34382705