Turbulence in differentially rotating thin disks - A multi-component cascade model

Mathematics – Dynamical Systems

Scientific paper

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Accretion Disks, Magnetohydrodynamic Turbulence, Mathematical Models, Rotating Disks, Angular Momentum, Coupling, Dynamical Systems, Shear Stress

Scientific paper

In this paper, a theoretical model is presented which models some of the aspects of the dynamics of three-dimensional magneto-hydrodynamic turbulence in a differentially rotating accretion disk. A set of simplified non-linear dynamical equations is derived. Numerical solutions of these equations show chaotic behavior. In particular, the turbulent shear stress shows large fluctuations on timescales of a few rotation periods. The relevance of these results for the mass-transport and structure of thin accretion disks is briefly discussed.

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