Noise-Facilitated Critical Behavior in Thermal Ignition of Energetic Media

  • J. R. Leith
Part of the Institute for Nonlinear Science book series (INLS)


Critical slowing down in thermal ignition of energetic media is examined by application of both deterministic and stochastic system models. The framework for analytical description of the thermal ignition problem derives from the generalized concept of critical point exponents. In particular, the time to thermal ignition diverges as the system driving condition approaches its minimum requisite value necessary to induce a sustained exothermic reaction. It is shown here, from both theoretical predictions and laboratory experiments, that there is an evolution of the critical behavior and a broadening of the range of time to ignition for smaller driving conditions and that these are consequences of increased reactant consumption and the inherent stochastic behavior in the approach to thermal ignition.


Stochastic Differential Equation Critical Behavior Critical Phenomenon Ignition Time Colored Noise 
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© Springer-Verlag New York, Inc. 1996

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  • J. R. Leith

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