The structure of detonation waves in supernovae revisited

Abstract

The structure of a thermonuclear detonation wave can be solved accurately and, thus, may serve as a test bed for studying different approximations that are included in multidimensional hydrodynamical simulations of supernova. We present the structure of thermonuclear detonations for the equal mass fraction of ${}^{12}$C and ${}^{16}$O (CO) and for pure ${}^4$He (He) over a wide range of upstream plasma conditions. The lists of isotopes we constructed allow us to determine the detonation speeds, as well as the final states for these detonations, with an uncertainty of the percent level (obtained here for the first time). We provide our results with a numerical accuracy of $\sim 0.1\%$, which provides an efficient benchmark for future studies. We further show that CO detonations are pathological for all upstream density values, which differs from previous studies, which concluded that for low upstream densities CO detonations are of the Chapman-Jouget (CJ) type. We provide an approximate condition, independent of reaction rates, that allows to estimate whether arbitrary upstream values will support a detonation wave of the CJ type. Using this argument, we are able to show that CO detonations are pathological and to verify that He detonations are of the CJ type, as was previously claimed for He. Our analysis of the reactions that control the approach to nuclear statistical equilibrium, which determines the length-scale of this stage, reveals that at high densities, the reactions ${}^{11}$B$+p\leftrightarrow 3^4$He plays a significant role, which was previously unknown.

arXiv comment33 pages, 27 figures, 14 tables. Revised following a referee report

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Cited by in corpus (6)

• An accurate and efficient numerical calculation of detonation waves in multidimensional supernova simulations using a burning limiter and adaptive quasi-statistical equilibrium
• Sub-Chandrasekhar-mass detonations are in tension with the observed $t_0-M_{\text{Ni56}}$ relation of type Ia supernovae
• Towards an accurate description of an accretion induced collapse and the associated ejected mass
• The accuracy of post-processing nucleosynthesis
• Confronting double-detonation sub-Chandrasekhar models with the low-luminosity suppression of Type Ia supernovae
• Comments on "Numerical Stability of Detonations in White Dwarf Simulations"