the requirement on reaching the distributed burning implies also a turbulence criterion (see Röpke 2007a for an evaluation in three-dimensional models). An estimate for entering the distributed regime is the equality of the laminar flame width and the Gibson scale – the scale at which the turbulent velocity fluctuations equal the laminar flame speed. When the Gibson scale becomes smaller than the laminar flame width, turbulence affects (and ultimately destroys) the laminar flame structure. This is a prerequisite for DDT, however, it is not a sufficient criterion (e.g. Woosley 2007; Woosley et al. 2009). The microphysics of DDT is not yet fully known, and therefore we apply the necessary condition of entering the distributed regime here only. We emphasize that the hydrodynamic models are still in a preliminary stage and used here only in order to demonstrate the nucleosynthesis associated with them. For more robust predictions of the $^{56}$Ni production and the implied brightness of the events, more elaborate hydrodynamical simulations should be used (F.K. Röpke et al., in prep.); the models presented here are understood as a case study demonstrating typical nucleosynthesis for the different explosion processes.

Results on some synthetic observables (e.g., light curves) derived for similar two-dimensional 