On the stability of thermonuclear detonation in supernovae events

Astronomy and Astrophysics – Astronomy

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Hydrodynamics, Instabilities, Supernovae: General

Scientific paper

The stability of a plane stationary thermonuclear detonation in an exploding carbon white dwarf is investigated. It is shown that detonation is unstable in a wide range of densities of white dwarf matter from rho ~= 2 x 10^7 g/cm^3 to rho=3 x 10^9 g/cm^3. The detonation wave becomes stable at low densities rho <~ 10^7 g/cm^3 typical for a pre-expanded white dwarf. An important feature of the obtained detonation stability spectrum is the presence of unstable modes of zero frequency, that may result in self-quenching of the detonation at the non-linear stage of the instability. Therefore, the detonation stability analysis suggests that detonation in white dwarfs cannot propagate at sufficiently high densities: rho >= 2.1 x 10^7 g/cm^3. The effect of the detonation self-quenching at high densities of the carbon-oxygen fuel may provide the physical explanation for the delayed detonation triggering in the thermonuclear supernovae.

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