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The nature of low T/|W| dynamical instabilities in differentially rotating stars

Watts, A.L., Andersson, N. and Jones, D.I. (2005) The nature of low T/|W| dynamical instabilities in differentially rotating stars. The Astrophysical Journal: Letters, 618, (1), L37-L40.
http://eprints.soton.ac.uk/29462/

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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.

Item Type:Article
Subjects:Q Science > QA Mathematics
Q Science > QC Physics
School or Centre:School of Mathematics > Applied Mathematics
ID Code:29462
Deposited By:SOMM, Import
Deposited On:11 May 2006

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