The Nature of Low T /| W | Dynamical Instabilities in Differentially Rotating Stars

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ID: 272794
2004
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Abstract
Recent numerical simulations indicate the presence of dynamical instabilities of the f-mode in differentially rotating stars even at very low values of T/|W|, the ratio of kinetic to potential energy. In this Letter we argue that these may be shear instabilities that occur when the degree of differential rotation exceeds a critical value and when the f-mode develops a corotation point associated with the presence of a continuous spectrum. Our explanation, which is supported by detailed studies of a simple shell model, offers a straightforward way of understanding all of the key features of these instabilities.
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Authors A. L. Watts,Nils Andersson,D. I. Jones;A. L. Watts;Nils Andersson;D. I. Jones;
Journal the astrophysical journal
Year 2004
DOI
10.1086/427653
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