Stability of the Accretion Flows with Stalled Shocks in Core-Collapse Supernovae

Abstract

Bearing in mind the application to the theory of core-collapse supernovae, we performed a global linear analysis on the stability of spherically symmetric accretion flows through a standing shock wave onto a proto neutron star. As unperturbed flows, we adopted the spherically symmetric steady solutions to the Euler equations obtained with realistic equation of state and formulae for neutrino reaction rates taken into account. Then we solved the equations for linear perturbations numerically, and obtained the eigen frequencies and eigen functions. We found (1) the flows are stable for all modes if the neutrino luminosity is lower than $\sim 1\times 10^{52}$ ergs/s for $\dot{M}=1.0M_{\odot }/\mathrm{s}$. (2) For larger luminosities, the non-radial instabilities are induced, probably via the advection-acoustic cycles. Interestingly, the modes with $\ell =2$ and 3 become unstable at first for relatively low neutrino luminosities, e.g. $\gtrsim 2-3\times 10^{52}$ ergs/s for the same accretion rate, whereas the $\ell =1$ mode is the most unstable for higher luminosities, $\sim 3-7\times 10^{52}$ ergs/s. These are all oscillatory modes. (3) For still larger luminosities, $\sim 7\times 10^{52}$ ergs/s for $\dot{M}=1.0M_{\odot }/\mathrm{s}$, non-oscillatory modes, both radial and non-radial, become unstable. These non-radial modes were identified as convection. We confirmed the results obtained by numerical simulations that the instabilities induced by the advection-acoustic cycles are more important than the convection for lower neutrino luminosities.

arXiv comment46 pages, 19 figures, Accepted by ApJ

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Cited by in corpus (43)

• Explosion Mechanisms of Core-Collapse Supernovae
• Perspectives on Core-Collapse Supernova Theory
• Delayed neutrino-driven supernova explosions aided by the standing accretion-shock instability
• A New Multi-Dimensional General Relativistic Neutrino Hydrodynamics Code for Core-Collapse Supernovae II. Relativistic Explosion Models of Core-Collapse Supernovae
• The Landscape of the Neutrino Mechanism of Core-Collapse Supernovae: Neutron Star and Black Hole Mass Functions, Explosion Energies and Nickel Yields
• SASI Activity in Three-Dimensional Neutrino-Hydrodynamics Simulations of Supernova Cores
• The Status of Multi-Dimensional Core-Collapse Supernova Models
• Hydrodynamics of core-collapse supernovae and their progenitors
• Multidimensional supernova simulations with approximative neutrino transport. II. Convection and the advective-acoustic cycle in the supernova core
• General-Relativistic Simulations of Three-Dimensional Core-Collapse Supernovae
• The Development of Explosions in Axisymmetric Ab Initio Core-Collapse Supernova Simulations of 12-25 $M_{\odot }$ Stars
• New Two-Dimensional Models of Supernova Explosions by the Neutrino-Heating Mechanism: Evidence for Different Instability Regimes in Collapsing Stellar Cores
• General Relativistic Three-Dimensional Multi-Group Neutrino Radiation-Hydrodynamics Simulations of Core-Collapse Supernovae
• An Investigation into the Character of Pre-Explosion Core-Collapse Supernova Shock Motion
• On the Impact of Three Dimensions in Simulations of Neutrino-Driven Core-Collapse Supernova Explosions
• Effect of Rotation on the Stability of a Stalled Cylindrical Shock and its Consequences for Core-Collapse Supernovae
• Characterizing SASI- and Convection-Dominated Core-Collapse Supernova Explosions in Two Dimensions
• Stability of a Spherical Accretion Shock with Nuclear Dissociation
• Turbulence in Core-Collapse Supernovae
• Hydrodynamics of Core-Collapse Supernovae at the Transition to Explosion. I. Spherical Symmetry
• On the linear growth mechanism driving the stationary accretion shock instability
• The saturation of SASI by parasitic instabilities
• Inelastic Neutrino-Helium Scatterings and Standing Accretion Shock Instability in Core-Collapse Supernovae
• Analytic Approach to the Stability of Standing Accretion Shocks: Application to Core-Collapse Supernovae
• Critical Surface for Explosions of Rotational Core-Collapse Supernovae
• Post-shock-revival evolutions in the neutrino-heating mechanism of core-collapse supernovae
• Angular momentum redistribution by SASI spiral modes and consequences for neutron star spins
• Stochasticity and efficiency of simplified core-collapse supernova explosions
• Linear analysis on the growth of non-spherical perturbations in supersonic accretion flows
• Parametric Study of Flow Patterns behind the Standing Accretion Shock Wave for Core-Collapse Supernovae
• Links between the shock instability in core-collapse supernovae and asymmetric accretions of envelopes
• The g-mode Excitation in the Proto Neutron Star by the Standing Accretion Shock Instability
• Effects of rotation and magnetic field on the revival of a stalled shock in supernova explosions
• Shock Revival in Core-collapse Supernovae Assisted by Heavy Axion-like Particles
• Estimating the core compactness of massive stars with Galactic supernova neutrinos
• Semi-dynamical approach to the shock revival in core-collapse supernovae
• Comparison of the Core-Collapse Evolution of Two Nearly Equal Mass Progenitors
• Neutron stars formation and Core Collapse Supernovae
• The Antesonic Condition for the Explosion of Core-Collapse Supernovae I: Spherically Symmetric Polytropic Models: Stability & Wind Emergence
• Shock Revival in Core-Collapse Supernovae: A Phase-Diagram Analysis
• The Antesonic Condition for the Explosion of Core-Collapse Supernovae II: Rotation and Turbulence
• A Parametric Study of the SASI Comparing General Relativistic and Nonrelativistic Treatments
• Linear Analysis of the Shock Instability in Core-collapse Supernovae: Influences of Acoustic Power and Fluctuations of Neutrino Luminosity