A Local Model for Angular Momentum Transport in Accretion Disks Driven by the Magnetorotational Instability
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A Local Model for Angular Momentum Transport in Accretion Disks Driven by the Magnetorotational Instability. / Pessah, Martin Elias; Chan, Chi-kwan; Psaltis, Dimitrios.
In: Physical Review Letters, Vol. 97, No. 22, 01.12.2006, p. 221103.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - A Local Model for Angular Momentum Transport in Accretion Disks Driven by the Magnetorotational Instability
AU - Pessah, Martin Elias
AU - Chan, Chi-kwan
AU - Psaltis, Dimitrios
PY - 2006/12/1
Y1 - 2006/12/1
N2 - 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.
AB - 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.
KW - astro-ph
U2 - 10.1103/PhysRevLett.97.221103
DO - 10.1103/PhysRevLett.97.221103
M3 - Journal article
C2 - 17155789
VL - 97
SP - 221103
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 22
ER -
ID: 34382705