Published December 15, 2004 | Version Published + Submitted
Journal Article Open

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

  • 1. ROR icon Cornell University

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.

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.

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Published - PhysRevD.70.124017.pdf

Submitted - 0409048.pdf

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Additional details

Identifiers

Eprint ID
86819
Resolver ID
CaltechAUTHORS:20180606-082721678

Related works

Funding

NSF
AST-0307273
NSF
PHY-9900672
NSF
PHY-0312072

Dates

Created
2018-06-06
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field

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Physics Department