The Spiral Modes of the Standing Accretion Shock Instability

Abstract

A stalled spherical accretion shock, such as that arising in core-collapse supernovae, is unstable to non-spherical perturbations. In three dimensions, this Standing Accretion Shock Instability (SASI) can develop spiral modes that spin-up the protoneutron star. Here we study these non-axisymmetric modes by combining linear stability analysis and three-dimensional, time-dependent hydrodynamic simulations with Zeus-MP, focusing on characterizing their spatial structure and angular momentum content. We do not impose any rotation on the background accretion flow, and use simplified microphysics with no neutrino heating or nuclear dissociation. Spiral modes are examined in isolation by choosing flow parameters such that only the fundamental mode is unstable for a given polar index, leading to good agreement with linear theory. We find that any superposition of sloshing modes with non-zero relative phases survives in the nonlinear regime and leads to angular momentum redistribution. It follows that the range of perturbations required to obtain spin-up is broader than that needed to obtain the limiting case of a phase shift of pi/2. The bulk of the angular momentum redistribution occurs during a phase of exponential growth, and arises from internal torques that are second order in the perturbation amplitude. This redistribution gives rise to at least two counter rotating regions, with the maximum angular momentum of a given sign approaching a significant fraction of the mass accretion rate times the shock radius squared (Mdot * r_shock^2 ~ 1E+47 g/cm^2/s, spin period ~60 ms). Nonlinear mode coupling at saturation causes the angular momentum to fluctuate in all directions with much smaller amplitudes.

Accepted to ApJ. Added evolution into non-linear phase (section 4), including growth and saturation of angular momentum redistribution

References in corpus (16)

• Theory of Core-Collapse Supernovae
• Delayed neutrino-driven supernova explosions aided by the standing accretion-shock instability
• Spectropolarimetry of Supernovae
• Instability of a stalled accretion shock: evidence for the advective-acoustic cycle
• Pulsar spins from an instability in the accretion shock of supernovae
• Dimension as a Key to the Neutrino Mechanism of Core-Collapse Supernova Explosions
• Criteria for Core-Collapse Supernova Explosions by the Neutrino Mechanism
• Multidimensional supernova simulations with approximative neutrino transport. II. Convection and the advective-acoustic cycle in the supernova core
• Features of the Acoustic Mechanism of Core-Collapse Supernova Explosions
• Dynamics of shock propagation and nucleosynthesis conditions in O-Ne-Mg core supernovae
• Effect of Rotation on the Stability of a Stalled Cylindrical Shock and its Consequences for Core-Collapse Supernovae
• Effects of Rotation on Standing Accretion Shock Instability in Nonlinear Phase for Core-Collapse Supernovae
• Linear growth of spiral SASI modes in core-collapse supernovae
• Multi-Dimensional Explorations in Supernova Theory
• The saturation of SASI by parasitic instabilities
• How rapidly do neutron stars spin at birth? Constraints from archival X-ray observations of extragalactic supernovae

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