On the Minimal Initial Size of an Explosive Reaction Center

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Abstract
In connection with the explosive reaction center (e.r.c.) put forward to explain the appearance of sharp ignition process in flammable mixtures, a criterion is proposed for its minimal initial size. Different approaches of the problem are suggested. The analysis based primarily on a chain branched mechanism of the reaction provides a formula which depends explicitly on the initial conditions of pressure, temperature and mixture composition. Diffusion coefficient of radicals and geometrical factor of the e.r.c. are taken into account. Some numerical computations of the critical size are carried out to exemplify the dependence on several parameters.

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