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Nonlinear coupling network to simulate the development of the r-mode instability in neutron stars. I. Construction

Brink, Jeandrew and Teukolsky, Saul A. and Wasserman, Ira (2004) Nonlinear coupling network to simulate the development of the r-mode instability in neutron stars. I. Construction. Physical Review D, 70 (12). Art. No. 124017. ISSN 2470-0010. doi:10.1103/PhysRevD.70.124017. https://resolver.caltech.edu/CaltechAUTHORS:20180606-082721678

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Abstract

R-modes of a rotating neutron star are unstable because of the emission of gravitational radiation. We explore the saturation amplitudes of these modes determined by nonlinear mode-mode coupling. Modelling the star as incompressible allows the analytic computation of the coupling coefficients. All couplings up to n=30 are obtained, and analytic values for the shear damping and mode normalization are presented. In a subsequent paper we perform numerical simulations of a large set of coupled modes.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.70.124017DOIArticle
https://arxiv.org/abs/gr-qc/0409048arXivDiscussion Paper
ORCID:
AuthorORCID
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2004 The American Physical Society. Received 15 September 2004; published 15 December 2004. Thanks to Harald Pfeiffer for suggestions on the coding of the classes and search algorithms used to manipulate the coupling coefficients and Nikolaos Stergioulas for useful comments. This research is supported in part by NSF Grants No. AST-0307273, No. PHY-9900672, and No. PHY-0312072 at Cornell University.
Funders:
Funding AgencyGrant Number
NSFAST-0307273
NSFPHY-9900672
NSFPHY-0312072
Issue or Number:12
Classification Code:PACS numbers: 04.40.Dg, 04.30.Db, 97.10.Sj, 97.60.Jd
DOI:10.1103/PhysRevD.70.124017
Record Number:CaltechAUTHORS:20180606-082721678
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180606-082721678
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86819
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Jun 2018 16:41
Last Modified:15 Nov 2021 20:42

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