Corotational Instability of Inertial-Acoustic Modes in Black Hole Accretion Discs and Quasi-Periodic Oscillations
arXiv:0810.0203 · doi:10.1111/j.1365-2966.2008.14218.x
Abstract
We study the global stability of non-axisymmetric p-modes (also called inertial-acoustic modes) trapped in the inner-most regions of accretion discs around black holes. We show that the lowest-order (highest-frequency) p-modes, with frequencies , can be overstable due to general relativistic effects, according to which the radial epicyclic frequency is a non-monotonic function of radius near the black hole. The mode is trapped inside the corotation resonance radius and carries a negative energy. The mode growth arises primarily from wave absorption at the corotation resonance, and the sign of the wave absorption depends on the gradient of the disc vortensity. When the mode frequency is sufficiently high, such that the slope of the vortensity is positive at corotation positive wave energy is absorbed at the resonance, leading to the growth of mode amplitude. We also study how the rapid radial inflow at the inner edge of the disc affects the mode trapping and growth. Our analysis of the behavior of the fluid perturbations in the transonic flow near the ISCO indicates that, while the inflow tends to damp the mode, the damping effect is sufficiently small under some conditions so that net mode growth can still be achieved. We further clarify the role of the Rossby wave instability and show that it does not operate for black hole accretion discs with smooth-varying vortensity profiles. Overstable non-axisymmetric p-modes driven by the corotational instability provide a plausible explanation for the high-frequency (> 100 Hz) quasi-periodic oscillations (HFQPOs) observed from a number of black-hole X-ray binaries in the very high state. The absence of HFQPOs in the soft (thermal) state may result from mode damping due to the radial infall at the ISCO.
arXiv comment19 pages, 11 figures, MNRAS in press
References in corpus (42)
- X-ray Properties of Black-Hole Binaries
- Modelling the behaviour of accretion flows in X-ray binaries
- Rossby Wave Instability of Keplerian Accretion Disks
- A precise determination of angular momentum in the black hole candidate GRO J1655-40
- Correlations in the QPO Frequencies of Low Mass X-Ray Binaries and the Relativistic Precession Model
- Global General Relativistic MHD Simulation of a Tilted Black-Hole Accretion Disk
- Rossby Wave Instability of Thin Accretion Disks -- II. Detailed Linear Theory
- A New Simple Model for High Frequency Quasi Periodic Oscillations in Black Hole Candidates
- Direct calculation of the radiative efficiency of an accretion disk around a black hole
- Relativistic Diskoseismology
- Advection of Magnetic Fields in Accretion Disks: Not So Difficult After All
- Global Three-Dimensional Simulations of Black Hole Accretion Disks: X-ray Flares in the Plunging Region
- A Model for High Frequency Quasi-periodic Oscillations from Accreting Black Holes
- Global General Relativistic Magnetohydrodynamic Simulations of Accretion Tori
- Oscillation modes of relativistic slender tori
- Geometrically Thin Disk Accreting Into a Black Hole
- Resonance in Forced Oscillations of an Accretion Disk and Kilohertz Quasi Periodic Oscillations
- Accretion-Ejection Instability, MHD Rossby Wave Instability, diskoseismology, and the high-frequency QPO of microquasars
- Resonant Excitation of Disk Oscillations in Deformed Disks II: A Model of High Frequency QPOs
- Where is the Radiation Edge in Magnetized Black Hole Accretion discs?
- Quasi-Periodic Oscillations from Rayleigh-Taylor and Kelvin-Helmholtz Instability at a Disk-Magnetosphere Interface
- Twin peaks kHz QPOs: mathematics of the 3:2 orbital resonance
- Non-Axisymmetric g-Mode and p-Mode Instability in a Hydrodynamic Thin Accretion Disk
- Quasi-periodic Oscillations in the X-ray Light Curves from Relativistic Tori
- Large Scale B-Field in Stationary Accretion Disks
- Accretion-ejection instability in magnetized disks: Feeding the corona with Alfven waves
- Epicyclic Oscillations of Fluid Bodies: Newtonian Nonslender Torus
- Effects of Magnetic Fields on the Diskoseismic Modes of Accreting Black Holes
- On an excitation mechanism for trapped inertial waves in discs around black holes
- Interpreting the High Frequency QPO Power Spectra of Accreting Black Holes
- A new model for QPOs in accreting black holes: application to the microquasar GRS 1915+105
- Super-Reflection in Fluid Discs: Corotation Amplifier, Corotation Resonance, Rossby Waves, and Overstable Modes
- Wave Excitation in Three-Dimensional Disks by External Potential
- Quasi-Periodic Oscillations from Magnetorotational Turbulence
- Relativistic Diskoseismology. III. Low-Frequency Fundamental p-Modes
- Twin-peak quasiperiodic oscillations as an internal resonance
- Oscillations of tori in the pseudo-Newtonian potential
- Difficulties with the QPOs Resonance Model
- Three Disk Oscillation Modes of Rotating Magnetized Neutron Stars
- Corotation Resonance and Diskoseismology Modes of Black Hole Accretion Disks
- Kinematic Density Waves in Accretion Disks
- Global MHD instabilities: from Low Frequency to High Frequency QPOs, and to Sgr A*
Cited by in corpus (43)
- Rossby Wave Instability and three-dimensional vortices in accretion disks
- Fast variability from black-hole binaries
- Detection of a possible X-ray Quasi-periodic Oscillation in the Active Galactic Nucleus 1H~0707-495
- Rossby Wave Instability in three dimensional discs
- Rossby Wave Instability in Astrophysical Discs
- The Astrophysics of Resonant Orbits in the Kerr Metric
- An X-ray periodicity of 1.8 hours in a narrow-line Seyfert 1 galaxy Mrk 766
- Two transient X-ray Quasi-Periodic Oscillations separated by an intermediate state in 1H 0707-495
- The Standing Accretion Shock Instability in the Disk around the Kerr Black Hole
- How strong are the Rossby vortices?
- Corotational Instability, Magnetic Resonances and Global Inertial-Acoustic Oscillations in Magnetized Black-Hole Accretion Discs
- Possible ~0.4 hour X-ray quasi-periodicity from an ultrasoft active galactic nucleus
- Corotational Instability of Inertial-Acoustic Modes in Black-Hole Accretion Discs: Non-Barotropic Flows
- Angular Momentum Transport by Acoustic Modes Generated in the Boundary Layer II: MHD Simulations
- Multipole moments and universal relations for scalarized neutron stars
- Rossby Wave Instability in Accretion Discs with Large-Scale Poloidal Magnetic Fields
- Flux Modulation from the Rossby Wave Instability in microquasars accretion disks: toward a HFQPO model
- HFQPOs and discoseismic mode excitation in eccentric, relativistic discs. II. Magnetohydrodynamic simulations
- Rossby Wave Instabilities of Protoplanetary Discs with Cooling
- Dynamics of the Innermost Accretion Flows Around Compact Objects: Magnetosphere-Disc Interface, Global Oscillations and Instabilities
- High-frequency variability in neutron-star low-mass X-ray binaries
- Interface Modes and Their Instabilities in Accretion Disc Boundary Layers
- Dynamical signatures of Rossby vortices in cavity-hosting disks
- Low- instabilities in differentially rotating proto-neutron stars with magnetic fields
- HFQPOs and discoseismic mode excitation in eccentric, relativistic discs. I. Hydrodynamic simulations
- Iron Line Variability of Discoseismic Corrugation Modes
- On the dynamics of tilted black hole-torus systems
- Viscous Driving of Global Oscillations in Accretion Discs Around Black Holes
- Incompressible Modes Excited by Supersonic Shear in Boundary Layers: Acoustic CFS Instability
- A General Relativistic Magnetohydrodynamic Model of High Frequency Quasi-periodic Oscillations in Black Hole Low-Mass X-ray Binaries
- Quasi-periodic oscillations and the global modes of relativistic, MHD accretion discs
- High-Frequency QPOs and Overstable Oscillations of Black-Hole Accretion Disks
- Corotation resonance and overstable oscillations in black-hole accretion discs: general-relativistic calculations
- Simulations of Overstable Inertial-acoustic Modes in Black-Hole Accretion Discs
- Trapped, Two-Armed, Nearly Vertical Oscillations in Disks with Toroidal Magnetic Fields
- Self-Trapping of Diskoseismic Corrugation Modes in Neutron Star Spacetimes
- An Attempt to Describe Frequency-Correlations among kHz QPOs and HBOs by Two-Armed Vertical p-mode Oscillations: Case of No Magnetic Field
- Correlated Frequency-Changes of Trapped Vertical p-mode Oscillations and kHz QPOs
- A Possible Origin of kHZ QPOs in Low-Mass X-ray Binaries
- Papaloizou-Pringle Instability of Magnetized Accretion Tori
- Resonant Excitation of Disk Oscillations in Deformed Disks VII: Stability Criterion in MHD Systems
- Inertial-Acoustic Oscillations of Black-Hole Accretion Discs with Large-Scale Poloidal Magnetic Fields
- Orbital Motion in Spacetimes Influenced by the Presence of Scalar and Electromagnetic Fields