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

The nature of low T/|W| dynamical instabilities in differentially rotating stars
The nature of low T/|W| dynamical instabilities in differentially rotating stars
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.
L37-L40
Watts, A.L.
b3a12e46-8c85-4eba-b205-81ef9ba1a358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Watts, A.L.
b3a12e46-8c85-4eba-b205-81ef9ba1a358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160

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.

Record type: Article

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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Published date: 2005

Identifiers

Local EPrints ID: 29462
URI: http://eprints.soton.ac.uk/id/eprint/29462
PURE UUID: 633f5d40-7b3b-4afd-afea-6963bf28f6bc
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843
ORCID for D.I. Jones: ORCID iD orcid.org/0000-0002-0117-7567

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Date deposited: 11 May 2006
Last modified: 09 Jan 2022 03:00

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Contributors

Author: A.L. Watts
Author: N. Andersson ORCID iD
Author: D.I. Jones ORCID iD

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