Abstract
The nonlinear evolution of the 'Parker' instability in accretion disks and galactic gas disks is studied by using a two-dimensional magnetohydrodynamic (MHD) code. The gas layer is assumed to be located at some distance from a point mass which is the origin of gravity. The magnetic fields are assumed to be parallel to the disk plane in magnetostatic equilibrium. The sound and Alfven speeds are taken to be spatially uniform in the initial state. The most unstable mode as well as other modes are examined in detail. It is found that nonlinear stages of the instability are generally classified into two cases: nonlinear oscillation and shock wave formation. Applications to magnetic loops in accretion disks and in galactic disks are briefly discussed.
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