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

Anna L. Watts | Zendy; Nils Andersson | Zendy; D. I. Jones | Zendy

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

Author(s) -

Anna L. Watts,

Nils Andersson,

D. I. Jones

Publication year - 2004

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/427653

Subject(s) - physics , stars , differential rotation , kinetic energy , instability , astrophysics , spectrum (functional analysis) , rotation (mathematics) , mode (computer interface) , classical mechanics , shear (geology) , simple (philosophy) , mechanics , quantum mechanics , geometry , mathematics , petrology , philosophy , epistemology , computer science , geology , operating system

Recent numerical simulations indicate the presence of dynamical instabilitiesof 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 thatthese may be shear instabilities which occur when the degree of differentialrotation exceeds a critical value and the f-mode develops a corotation pointassociated with the presence of a continuous spectrum. Our explanation, whichis supported by detailed studies of a simple shell model, offers astraightforward way of understanding all of the key features of theseinstabilities.Comment: Substantial revisions, accepted for publication in ApJ Letter

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