Mathematics – Dynamical Systems
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...255..427g&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 255, no. 1-2, p. 427-442.
Mathematics
Dynamical Systems
21
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.
Achterberg Abraham
Geertsema G. T.
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