Carbon Ignition in Type Ia Supernovae: An Analytic Model

Details Carbon Ignition in Type Ia Supernovae: An Analytic Model Carbon Ignition in Type Ia Supernovae: An Analytic Model

2003-07-31

arxiv.org/abs/astro-ph/0307565v2

Astronomy and Astrophysics

Astrophysics

14 pages, 0 figures, submitted to ApJ, corrected typo in first author's name

Scientific paper

10.1086/383530

The observable properties of a Type Ia supernova are sensitive to how the nuclear runaway ignites in a Chandrasekhar mass white dwarf - at a single point at its center, off-center, or at multiple points and times. We present a simple analytic model for the runaway based upon a combination of stellar mixing-length theory and recent advances in understanding Rayleigh-Benard convection. The convective flow just prior to runaway is likely to have a strong dipolar component, though higher multipoles may contribute appreciably at the very high Rayleigh number (10$^{25}$) appropriate to the white dwarf core. A likely outcome is multi-point ignition with an exponentially increasing number of ignition points during the few tenths of a second that it takes the runaway to develop. The first sparks ignite approximately 150 - 200 km off center, followed by ignition at smaller radii. Rotation may be important to break the dipole asymmetry of the ignition and give a healthy explosion.

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