Parametric transition from deflagration to detonation in stellar medium
Peter V Gordon1, Leonid Kagan2, Gregory Sivashinsky2
1Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242, USA.
Physical Review. E
|April 17, 2021
Summary
This study investigates thermonuclear explosions in white-dwarf stars, revealing a pressure runaway mechanism in stellar flames. This finding challenges existing theories on flame transitions in stellar explosions.
Area of Science:
- Astrophysics
- Stellar Evolution
- Thermonuclear Reactions
Background:
- The precise mechanism behind thermonuclear explosions in white-dwarf stars remains a fundamental astrophysical problem.
- A prevailing theory suggests these explosions result from a deflagration-to-detonation transition in an outward-propagating thermonuclear flame.
- Instability-induced corrugations are believed to play a crucial role in this transition process.
Purpose of the Study:
- To apply findings from terrestrial flame research, specifically a positive feedback mechanism leading to pressure runaway, to the astrophysical context of white-dwarf stars.
- To investigate the persistence of the runaway effect in stellar environments despite modifications to the equation of state.
- To challenge the conventional view that a flame must cross the Chapman-Jouguet deflagration threshold for transition.
Main Methods:
- Application of a terrestrial flame positive feedback mechanism to stellar environments.
- Analysis of thermonuclear flame propagation under modified equations of state.
- Investigation of flame behavior approaching the runaway point, specifically its subsonic nature.
Main Results:
- The pressure runaway effect, identified in terrestrial flames, persists in the stellar environment even with significant equation of state modifications.
- The study demonstrates that a thermonuclear flame can remain subsonic as it approaches the runaway point.
- This finding contradicts the established view that a flame must exceed the Chapman-Jouguet deflagration threshold to transition.
Conclusions:
- The identified pressure runaway mechanism offers a new perspective on the initiation of thermonuclear explosions in white-dwarf stars.
- The ability of a subsonic flame to approach runaway conditions necessitates a re-evaluation of the deflagration-to-detonation transition theory in astrophysics.
- This research provides a first-principle interpretation that could resolve long-standing questions about stellar explosion dynamics.
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