Abstract
A stochastic description of explosion phenomena is set up, both for isothermal and for exothermic reaction mechanisms. Numerical simulations and analytic study of the master equation show the appearence of long tail and multiple humps in the probability distribution, which subsist for a certain period of time. During this interval the system displays chaotic behavior, reflecting the random character of the ignition process. An estimate of the onset time of transient bimodality is carried out in terms of the size of the system, the intrinsic parameters, and the initial condition. The implications of the results in combustion are discussed.
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© 1984 D.Reidel Publishing Company
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Nicolis, G., Baras, F., Malek Mansour, M. (1984). Fluctuations in Combustion. In: Nicolis, G., Baras, F. (eds) Chemical Instabilities. NATO ASI Series, vol 120. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7254-4_12
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DOI: https://doi.org/10.1007/978-94-009-7254-4_12
Publisher Name: Springer, Dordrecht
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