Standing accretion shocks in the supernova core

Effects of convection and realistic equations of state

Tatsuya Yamasaki, Shoichi Yamada

    Research output: Contribution to journalArticle

    33 Citations (Scopus)

    Abstract

    This is a sequel to the previous paper, in which we investigated the structure and stability of the spherically symmetric accretion flows through the standing shock wave onto the proto-neutron star in the postbounce phase of the collapse-driven supernova. Following the prescription in the previous paper, we assume that the accretion flow is in a steady state controlled by the neutrino luminosity and mass accretion rate that are kept constant. We obtain steady solutions for a wide range of neutrino luminosities and mass accretion rates. In so doing, as an extension to the previous models, we employ a realistic EOS and neutrino-heating rate. More importantly, we take into account the effect of convection phenomenologically. For each mass accretion rate, we find the critical neutrino luminosity, above which there exists no steady solution. These critical points are supposed to mark the onset of the shock revival. As the neutrino luminosity increases for a given mass accretion rate, there appears a convectively unstable region at some point before the critical value is reached. We introduce a phenomenological energy flux by convection so that the negative entropy gradient should be canceled out. We find that the convection lowers the critical neutrino luminosity substantially, which is in accord with the results of multidimensional numerical simulations done over the years. We also consider the effect of the self-gravity, which was neglected in the previous paper. It is found that the self-gravity is important only when the neutrino luminosity is high. The critical luminosity, however, is little affected if the energy transport by convection is taken into account.

    Original languageEnglish
    Pages (from-to)291-298
    Number of pages8
    JournalAstrophysical Journal
    Volume650
    Issue number1 I
    DOIs
    Publication statusPublished - 2006 Oct 10

    Fingerprint

    equation of state
    supernovae
    convection
    equations of state
    neutrinos
    shock
    accretion
    luminosity
    gravity
    gravitation
    standing wave
    EOS
    effect
    shock wave
    energy flux
    neutron stars
    entropy
    shock waves
    critical point
    rate

    Keywords

    • Hydrodynamics
    • Shock waves
    • Supernovae: general

    ASJC Scopus subject areas

    • Space and Planetary Science

    Cite this

    Standing accretion shocks in the supernova core : Effects of convection and realistic equations of state. / Yamasaki, Tatsuya; Yamada, Shoichi.

    In: Astrophysical Journal, Vol. 650, No. 1 I, 10.10.2006, p. 291-298.

    Research output: Contribution to journalArticle

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