Saturation of the f-mode instability in neutron stars: II. Applications and results

Abstract

We present the first results on the saturation of the f-mode instability in neutron stars, due to nonlinear mode coupling. Emission of gravitational waves drives the f-mode (fundamental mode) unstable in fast-rotating, newborn neutron stars. The initial growth phase of the mode is followed by its saturation, because of energy leaking to other modes of the star. The saturation point determines the strain of the generated gravitational-wave signal, which can then be used to extract information about the neutron star equation of state. The parent (unstable) mode couples via parametric resonances with pairs of daughter modes, with the triplets' evolution exhibiting a rich variety of behaviors. We study both supernova- and merger-derived neutron stars, simply modeled as polytropes in a Newtonian context, and show that the parent may couple to many different daughter pairs during the star's evolution through the instability window, with the saturation amplitude changing by orders of magnitude.

arXiv comment20 pages, 12 PDF figures, uses cleveref.sty; accepted by Phys. Rev. D

References in corpus (51)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Presupernova Evolution of Rotating Massive Stars I: Numerical Method and Evolution of the Internal Stellar Structure
• Gamma-ray Burst Afterglow with Continuous Energy Injection: Signature of a Highly-Magnetized Millisecond Pulsar
• A new class of unstable modes of rotating relativistic stars
• Towards gravitational-wave asteroseismology
• Gravitational waves from hot young rapidly rotating neutron stars
• Signatures of magnetar central engines in short GRB lightcurves
• Gravitational Radiation Instability in Hot Young Neutron Stars
• Axial instability of rotating relativistic stars
• Remnant massive neutron stars of binary neutron star mergers: Evolution process and gravitational waveform
• Gravitational waves and pulsating stars: What can we learn from future observations?
• Gravitational radiation limit on the spin of young neutron stars
• On the relevance of the r-mode instability for accreting neutron stars and white dwarfs
• Gravitational Wave asteroseismology revisited
• Saturation of the R-mode Instability
• The inverse problem for pulsating neutron stars: A ``fingerprint analysis'' for the supranuclear equation of state
• Gravitational wave asteroseismology of fast rotating neutron stars with realistic equations of state
• The Spin Periods and Rotational Profiles of Neutron Stars at Birth
• Properties of hypermassive neutron stars formed in mergers of spinning binaries
• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifugal accelerations
• Where are the r-modes of isentropic stars?
• R-mode runaway and rapidly rotating neutron stars
• Strange stars as persistent sources of gravitational waves
• Acoustic oscillations in rapidly rotating polytropic stars I. Effects of the centrifugal distortion
• Spinning down newborn neutron stars: nonlinear development of the r-mode instability
• Spin Evolution of Accreting Neutron Stars: Nonlinear Development of the R-mode Instability
• Gravitational wave asteroseismology with fast rotating neutron stars
• A novel paradigm for short gamma-ray bursts with extended X-ray emission
• A gravitational wave afterglow in binary neutron star mergers
• Relativistic g-modes in rapidly rotating neutron stars
• Short gamma-ray bursts in the "time-reversal" scenario
• Oscillations of rapidly rotating stratified neutron stars
• Gravity modes in rapidly rotating stars. Limits of perturbative methods
• A new mechanism for saturating unstable r-modes in neutron stars
• Secular Instability of g-Modes in Rotating Neutron Stars
• Nonlinear Couplings of R-modes: Energy Transfer and Saturation Amplitudes at Realistic Timescales
• Generalized r-Modes of the Maclaurin Spheroids
• The f-mode instability in relativistic neutron stars
• Viscous damping of r-modes: Large amplitude saturation
• On the frequency band of the f-mode CFS instability
• Rotational modes of non-isentropic stars and the gravitational radiation driven instability
• A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars II. Dynamics
• A Nonlinear Coupling Network to Simulate the Development of the r-mode Instablility in Neutron Stars I. Construction
• The evolution of the f-mode instability in neutron stars and gravitational wave detectability
• On the saturation amplitude of the f-mode instability
• Asteroseismology of rapidly rotating neutron stars - an alternative approach
• Nonlinear Couplings Between r-modes of Rotating Neutron Stars
• Saturation of the f-mode instability in neutron stars: I. Theoretical framework
• Nonlinear viscous damping and gravitational wave detectability of the f-mode instability in neutron stars
• Nonlinear Decay of r modes in Rapidly Rotating Neutron Stars

Cited by in corpus (7)

• Rotating Stars in Relativity
• Superfluidity and Superconductivity in Neutron Stars
• Oscillation modes of rapidly rotating neutron stars in scalar-tensor theories of gravity
• Constraining nuclear parameters using Gravitational waves from f-mode Oscillations in Neutron Stars
• Prospect of unraveling the first-order phase transition in neutron stars with $f$ and $p_1$ modes
• Magnetic amplification in premerger neutron stars through resonance-induced magnetorotational instabilities
• Nonlinear coupling between magnetar QPOs