skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: STANDING SHOCK INSTABILITY IN ADVECTION-DOMINATED ACCRETION FLOWS

Journal Article · · Astrophysical Journal
 [1]; ;  [2];  [3];  [4]
  1. Department of Physics, Astronomy and Geology, Berry College, Mount Berry, GA 30149 (United States)
  2. High Energy Space Environment Branch, Space Science Division, Naval Research Laboratory, Washington, DC 20375 (United States)
  3. Department of Physics and Astronomy, George Mason University, Fairfax, VA 22030 (United States)
  4. Department of Physics and Engineering, Washington and Lee University, Lexington, VA 24450 (United States)

Depending on the values of the energy and angular momentum per unit mass in the gas supplied at large radii, inviscid advection-dominated accretion flows can display velocity profiles with either preshock deceleration or preshock acceleration. Nakayama has shown that these two types of flow configurations are expected to have different stability properties. By employing the Chevalier and Imamura linearization method and the Nakayama instability boundary conditions, we discover that there are regions of parameter space where disks/shocks with outflows can be stable or unstable. In regions of instability, we find that preshock deceleration is always unstable to the zeroth mode with zero frequency of oscillation, but is always stable to the fundamental mode and overtones. Furthermore, we also find that preshock acceleration is always unstable to the zeroth mode and that the fundamental mode and overtones become increasingly less stable as the shock location moves away from the horizon when the disk half-height expands above ∼12 gravitational radii at the shock radius. In regions of stability, we demonstrate the zeroth mode to be stable for the velocity profiles that exhibit preshock acceleration and deceleration. Moreover, for models that are linearly unstable, our model suggests the possible existence of quasi-periodic oscillations (QPOs) with ratios 2:3 and 3:5. These ratios are believed to occur in stellar and supermassive black hole candidates, for example, in GRS 1915+105 and Sgr A*, respectively. We expect that similar QPO ratios also exist in regions of stable shocks.

OSTI ID:
22521445
Journal Information:
Astrophysical Journal, Vol. 819, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X
Country of Publication:
United States
Language:
English

Similar Records

BLACK HOLE MASS AND SPIN FROM THE 2:3 TWIN-PEAK QPOs IN MICROQUASARS
Journal Article · Sun Jan 10 00:00:00 EST 2010 · Astrophysical Journal · OSTI ID:22521445

The dynamic instability of adiabatic blast waves
Journal Article · Fri Feb 01 00:00:00 EST 1991 · Astrophysical Journal; (USA) · OSTI ID:22521445

Relationship between oscillatory thermal instability and dynamical thin-shell overstability of radiative shocks
Journal Article · Mon Nov 01 00:00:00 EST 2004 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics · OSTI ID:22521445