Abstract
A stochastic description of an exothermic reaction leading to adiabatic explosion is set up. The numerical solution of the master equation reveals the appearance of a long tail and of multiple humps of the probability distribution, which subsist for a certain period of time. During this interval the system displays a markedly chaotic behavior, reflecting the random character of the ignition process. An analytical description of this transient evolution is developed, using a piecewise linear approximation of the transition rates. A comparison with other transient phenomena observed in stochastic theory is carried out.
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Boursier I.R.S.I.A.
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Baras, F., Nicolis, G., Mansour, M.M. et al. Stochastic theory of adiabatic explosion. J Stat Phys 32, 1–23 (1983). https://doi.org/10.1007/BF01009416
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DOI: https://doi.org/10.1007/BF01009416