certain amplitude, however, bubbles are able to resist shredding, and the SASI cycle is interrupted. Accretion proceeds then along narrow downflows that circumvent the bubbles (Figure \[f:shock\_entropy\_snapshots\]b).

To quantitatively analyze the interplay between sloshing of the post-shock region and large-scale bubbles, we compare in Figure \[f:shock\_entropy\_sasi\] the evolution of the $\ell=1$ shock Legendre coefficient $a_1$, where $$\label{eq:legendre_coeff}
a_\ell(t) = \frac{2\ell+1}{2}\int_0^{\pi} r_s(\theta,t) P_\ell(\cos\theta)\sin\theta\,\totd \theta,$$ with the fraction of the post-shock volume with entropy higher than a fiducial value $s_0$: $$\label{eq:volume_fraction}
f_V(s>s_0) = \frac{1}{V}\int_{s_0}^\infty \frac{\totd V}{\totd s}\totd s,$$ where the entropy $$s = \frac{1}{\gamma-1}\ln\left[\frac{p}{p_s}\left(\frac{\rho_2}{\rho}\right)^\gamma\right]$$ is defined so that it vanishes below the shock in the initial model ($p_2$ and $\rho_2$ are the initial post-shock pressure and density, respectively; e.g. @F07), and the post-shock volume is defined as $$V(t) = 2\pi\int_{0}^\pi\int_{r_*}^{r_s(\theta,t)}r^2\totd r\, \sin\theta\totd\theta.$$ We use volume instead of mass to minimize the influence of low-entropy downflows. The emergence of peaks in $f_V(t)$ for high values of the entropy is related to the loss of periodicity and eventual halting of shock sloshings, while bubble destruction can allow regular periodicity to emerge again (c.f. Figure \[f:shock\_entropy\_sasi\]c,e in the range $t\in [200,250]t_{\rm ff0}$).

Large-scale bubbles that have halted the SASI can nevertheless be broken when low-entropy 