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A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction

Jeandrew Brink·Saul A. Teukolsky·Ira Wasserman
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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.

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Jeandrew Brink, Saul A. Teukolsky, Ira Wasserman. 2004-09-10. A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction. https://doi.org/10.1103/physrevd.70.124017

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