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Influence of random initial conditions on explosive systems

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  • Peeters, P.
  • Baras, F.

Abstract

It has been shown that the exothermal and isothermal explosive systems are extremely sensitive to fluctuations of either thermodynamical and environmental origin as well as to the way they are initially prepared. The latter source of variability, manifested through small differences in initial conditions, can deeply affect the transient behavior. Applied to an exothermic explosive model, like the Semenov model, the effects of random initial conditions manifest themselves in a wide dispersion of explosion times. Furthermore, under certain conditions the distribution of explosion times becomes bimodal: the initial set of systems split, with the same probability, into a short explosion time class and a long explosion time class.

Suggested Citation

  • Peeters, P. & Baras, F., 1991. "Influence of random initial conditions on explosive systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 552-566.
    • Handle: RePEc:eee:phsmap:v:174:y:1991:i:2:p:552-566
    DOI: 10.1016/0378-4371(91)90348-G
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    References listed on IDEAS

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    1. Frankowicz, M. & Malek Mansour, M. & Nicolis, G., 1984. "Stochastic analysis of explosive behaviour: A qualitative approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 125(1), pages 237-246.
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    1. Frankowicz, M. & Mansour, M.Malek & Baras, F., 1987. "Influence of random initial conditions on the evolution of nonlinear systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 650-656.

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