Spiral Alfven instability in accretion disks

Physics – Plasma Physics

Scientific paper

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Accretion Disks, Magnetohydrodynamic Stability, Magnetohydrodynamic Turbulence, Magnetohydrodynamic Waves, Perturbation Theory, Wentzel-Kramer-Brillouin Method, Compression Waves, Computerized Simulation, Stellar Mass Accretion, Wave Propagation

Scientific paper

With the discovery that Alfven waves can be strongly unstable in a magnetized accretion disk, it can be expected to explain the turbulence necessary to drive accretion in these disks. The instability of non-axisymmetric Alfven waves is studied using analytical derivations and numerical simulations. An exact set of equations for the time evolution of the perturbations, giving a simple analytical result in the limit of very low beta, is derived. Using a Wentzel - Kramers - Brillouin approximation, the domain of existence and dominance of the set of modes corresponding to increasing values of n are found. A one dimensional linearized magnetohydrodynamic simulation is used to confirm these results and describe the time evolution of an initial perturbation in the disk. Pressure forces which can however be straightforwardly included are neglected. These forces are found negligible, even at high beta.

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