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arXiv 0803.1689astro-ph
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湍流不稳定性对SN Ia爆炸中爆燃转爆轰的影响

The effect of turbulent intermittency on the deflagration to detonation transition in SN Ia explosions

Liubin Pan, J. Craig Wheeler, John Scalo

摘要:

我们研究了湍流不稳定性对Ia型超新星爆燃转爆轰(DDT)的影响。DDT的Zel'dovich机制要求形成一个大于临界尺寸的混合灰和燃料的近等温区域。我们主要考虑Khokhlov等人和Niemeyer和Woosley的假设,即当火焰过渡到分布状态时,产生了近等温的混合区域。我们使用两个模型的湍流速度波动的分布估计的概率作为一个函数的密度在爆炸的白矮星,一个给定的区域的临界尺寸是在分布式制度,由于强大的本地湍流拉伸的火焰结构。我们还估计了这些区域的数量作为密度的函数的下限。我们发现,分布式政权,因此也许DDT,发生在一个局部区域的临界尺寸的密度至少有2-3倍大于预测的平均条件,忽略不稳定性。在大多数情况下,这个因素使跃迁密度比观测的经验值大得多。我们还考虑了Lisewski等人和Woosley对DDT的更严格条件的不透明度效应。我们发现,在尺寸为$10^6$ cm的区域中,湍流速度为$10^8$ cm/s,是罕见的。我们预期,不稳定性对Woosley模型的影响较小,但判据较强。在使用我们的双折射模型考虑双折射后,根据该标准预测的转换密度保持低于$10^7$ g/cm $^3$。

英文摘要:

We examine the effects of turbulent intermittency on the deflagration to detonation transition (DDT) in Type Ia supernovae. The Zel'dovich mechanism for DDT requires the formation of a nearly isothermal region of mixed ash and fuel that is larger than a critical size. We primarily consider the hypothesis by Khokhlov et al. and Niemeyer and Woosley that the nearly isothermal, mixed region is produced when the flame makes the transition to the distributed regime. We use two models for the distribution of the turbulent velocity fluctuations to estimate the probability as a function of the density in the exploding white dwarf that a given region of critical size is in the distributed regime due to strong local turbulent stretching of the flame structure. We also estimate lower limits on the number of such regions as a function of density. We find that the distributed regime, and hence perhaps DDT, occurs in a local region of critical size at a density at least a factor of 2-3 larger than predicted for mean conditions that neglect intermittency. This factor brings the transition density to be much larger than the empirical value from observations in most situations. We also consider the intermittency effect on the more stringent conditions for DDT by Lisewski et al. and Woosley. We find that a turbulent velocity of $10^8$ cm/s in a region of size $10^6$ cm, required by Lisewski et al., is rare. We expect that intermittency gives a weaker effect on the Woosley model with stronger criterion. The predicted transition density from this criterion remains below $10^7$ g/cm$^3$ after accounting for intermittency using our intermittency models.

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