Volume 129, Number 3, February 2020
|Number of page(s)||7|
|Published online||04 March 2020|
Implosion-explosion in supernovae
1 Laboratoire de Physique Théorique (UMR 5152 du CNRS), Université Paul Sabatier - 118 route de Narbonne, 31062 Toulouse Cedex 4, France
2 Université Aix- Marseille, IRPHE, UMR 7342 CNRS et Centrale Marseille, Technopole de Château- Gombert 49 rue Joliot- Curie, 13384 Marseille Cedex 13, France
3 ISMO- CNRS, Université Paris-Saclay - 91405 Orsay Cedex, France
4 Ladhyx, Ecole Polytechnique - 91128, Palaiseau, France
Received: 8 September 2019
Accepted: 11 February 2020
We sketch a scenario for the explosion of massive stars (supernovae) that differs from published scenarios of explosions as a two-step process, an initial gravitational core collapse followed by an expansion of matter after a bouncing on the core, which meet difficulties. Our simple model, based on fluid mechanics and stability properties of the equilibrium state, shows that one can have a simultaneous inward/outward motion in the early stage of the instability of the star. This shows up by slowly sweeping a saddle-center bifurcation found when considering equilibrium states associated with the constraint of energy conservation (microcanonical ensemble) instead of the constraint of a fixed temperature (canonical ensemble). After the weakly nonlinear Painlevé regime, we show that the strongly nonlinear regime displays a self-similar behavior of the core collapse. Finally, the expansion of the remnants is revisited as an isentropic process leading to shocks formation.
PACS: 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05) / 47.90.+a – Other topics in fluid dynamics (restricted to new topics in section 47) / 97.90.+j – Other topics on stars (restricted to new topics in section 97)
© EPLA, 2020
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