Arrhenius Systems: Dynamics of Jump Due to Slow Passage through Criticality

摘要

Reactive systems involving Arrhenius kinetics often exhibit multiple steady states. A typical response is an S-curve, whose turnaround points correspond to ignition or extinction. This paper describes the dynamics of transition from the extinguished to the ignited state as the reaction-rate parameter is slowly varied through the critical value. Both lumped and spatially distributed models are studied. The asymptotic analysis is based on the largeness of two parameters: one characterizing the activation energy and the other the slow passage. (Author)