introduced by the detonation is at most $\Delta Y_{\rm e} \sim 0.02$, much smaller than the change in the deflagration stage at $\gsim 10^{8} - 10^{9}$g cm$^{-3}$. This is a result of electron capture reactions at the detonation wave propagating near the WD center, since the central region is still at high density (e.g., Meakin et al. 2009). The change is not as large as that in the GCD models of Jordan et al. (2008) and Meakin et al. (2009), which resulted in $\Delta Y_{\rm e} \sim 0.05$. This is because the distribution of the initial bubbles in our simulations is not as extreme as theirs (see §2.1) and the WD pre-expansion before the onset of the detonation was stronger in our model.

Distribution of Nucleosynthesis Products
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Figure 11 shows the radial abundance distribution, for which the material is angle-averaged within each velocity bin. Note that our models are followed up to $\sim 10$ seconds, thus the velocity is proportional to the radial distance, and the distribution in velocity space corresponds in good approximation to that in spatial space. The O-DDT model has a very aspherical ejecta structure. Therefore, the angle-dependent radial abundance distribution in this model is given 