Local ignition in carbon-oxygen white dwarfs. I. One-zone ignition and spherical shock ignition of detonations

L. Jonathan Dursi, Francis Timmes

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The details of ignition of Type la supernovae remain fuzzy, despite the importance of this input for any large-scale model of the final explosion. Here, we begin a process of understanding the ignition of these hot spots by examining the burning of one zone of material, and then we investigate the ignition of a detonation due to rapid heating at single point. We numerically measure the ignition delay time for onset of burning in mixtures of degenerate material and provide fitting formulae for conditions of relevance in the Type la problem. Using the neon abundance as a proxy for the white dwarf progenitor's metallicity, we then find that ignition times can decrease by ∼20% with the addition of even 5% of neon by mass. When temperature fluctuations that successfully kindle a region are very rare, such a reduction in ignition time can increase the probability of ignition by orders of magnitude. If the neon comes largely at the expense of carbon, a similar decrease in the ignition time can occur. We then consider the ignition of a detonation by an explosive energy input in one localized zone, for example, a Sedov blast wave leading to a shock-ignited detonation. Building on previous work on curved detonations, we confirm that surprisingly large inputs of energy are required to successfully launch a detonation, leading to required match heads of ≈4500 detonation thicknesses - tens of centimeters to hundreds of meters - which is orders of magnitude larger than naive considerations might suggest. This is a very difficult constraint to meet for some pictures of a deflagration-to-detonation transition, such as a Zel'dovich gradient mechanism ignition in the distributed burning regime.

Original languageEnglish (US)
Pages (from-to)1071-1086
Number of pages16
JournalAstrophysical Journal
Volume641
Issue number2 I
DOIs
StatePublished - Apr 20 2006
Externally publishedYes

Fingerprint

detonation
ignition
neon
shock
oxygen
carbon
energy
explosive
explosion
heating
deflagration
scale models
blasts
temperature
metallicity
supernovae
explosions
time lag
material
gradients

Keywords

  • Hydrodynamics
  • Methods: numerical
  • Nuclear reactions, nucleosynthesis, abundances
  • Supernovae: general
  • White dwarfs

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Local ignition in carbon-oxygen white dwarfs. I. One-zone ignition and spherical shock ignition of detonations. / Dursi, L. Jonathan; Timmes, Francis.

In: Astrophysical Journal, Vol. 641, No. 2 I, 20.04.2006, p. 1071-1086.

Research output: Contribution to journalArticle

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