# Response of nuclear-dissociating shocks to vorticity perturbations

## TL;DR

This paper analyzes how nuclear dissociation influences the response of standing accretion shocks to vorticity perturbations in core-collapse supernovae, revealing stabilization effects and increased downstream density perturbations.

## Contribution

It provides a linear theoretical analysis of shock-vorticity interactions considering nuclear dissociation effects, focusing on non-isotropic perturbations relevant to collapsing stellar shells.

## Key findings

- Nuclear dissociation stabilizes shock oscillations.
- Dissociation increases downstream density perturbations.
- Exact distributions of rotational and acoustic perturbations are derived.

## Abstract

In the context of core-collapse supernova explosions (CCSNe), the interaction of standing accretion shocks with upstream vorticity perturbations is investigated by linear theory analysis. The endothermic effect associated to the nuclear dissociation, which takes place right behind the shock wave, affects the amplitude of the perturbations amplified/generated across the front. For upstream disturbances whose characteristic size is much larger than the post-shock dissociation-layer thickness, the effect of nuclear dissociation can be reduced to that of considering the global endothermic effect that scales with the inflow energy flux. The present study focuses on perturbation fields that are not isotropic, which mimic the perturbations in collapsing convective shells of massive stars. The linear interaction of the shock with bidimensional mono-frequency vorticity perturbations is theoretically addressed, with the limit of highly-stretched vortices being analyzed in detail. The exact spatial distribution of the rotational and acoustic perturbations generated in the post-shock flow are provided along with the transient evolution of the shock front. It is found that nuclear dissociation contributes to stabilize the shock oscillations, but increases the amplitude of the density perturbations downstream. An extension of this work that addresses the interaction with tridimensional isotropic turbulent flows can be found in reference Huete, C., et al. 2018, MNRAS, 475, 3305-3323, which analyzes the effect of the post-shock flow on the critical conditions that ultimately trigger explosion.