Evolution of initially localized perturbations in stratified ionized disks

Details Evolution of initially localized perturbations in stratified ionized disks Evolution of initially localized perturbations in stratified ionized disks

2008-10-10

arxiv.org/abs/0810.1864v1

MNRAS, 392, (2009), Issue 1, pp. 287-293

Astronomy and Astrophysics

Astrophysics

10 pages, 5 figures. Accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2008.14046.x

A detailed solution of an initial value problem of a vertically localized initial perturbation in rotating magnetized vertically stratified disk is presented. The appropriate linearized MHD equations are solved by employing the WKB approximation and the results are verified numerically. The eigenfrequencies as well as eigenfunctions are explicitly obtained. It is demonstrated that the initial perturbation remains confined within the disk. It is further shown that thin enough disks are stable but as their thickness grows increasing number of unstable modes participate in the solution of the initial value problem. However it is demonstrated that due to the localization of the initial perturbation the growth time of the instability is significantly longer than the calculated inverse growth rate of the individual unstable eigenfunctions.

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