Understanding the mechanisms of explosions is essential for the development of safety measured and for
minimizing devastating hazards. Due to the complexity of real chemistry, a one-step reaction model has
been often used for theoretical and numerical studies. In this paper we compare conditions for the
detonation development from the spontaneous wave in a hot spot for a one-step model with that obtained
for detailed chemical models. It is shown that for detailed chemical models conditions required for the
detonation development from the spontaneous wave in a hot spot are more limited than that for the use of
simplified chemical models. In particular, the minimum hot spot size capable of producing a detonation
calculated with the detailed chemical model is at least an order of magnitude larger than that predicted by
a one-step model even at high initial pressures. The impact of a detailed chemical model is particularly
pronounced for the methane/air mixture, where not only is the hot spot size much greater than that
predicted by a one-step model, but the initiation of detonation by the hot spot with a temperature gradient
is possible only if the ambient temperature outside the gradient is above 1100 K.
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