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Stochastic theory of adiabatic explosion (1983)

Baras, F. ; Nicolis, G. ; Mansour, M. Malek ; [et al.]

Springer

Journal of statistical physics 32 (1983), S. 1-23

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ISSN: 1572-9613

Keywords: Fluctuations ; master equation ; combustion ; ignition

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01009416

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