A model for oscillating chemical reactions

A simple theoretical model for a class of oscillating chemical reactions is investigated, which is inspired by Degn's analysis of the mechanism of Belousov-Zhabotinsky reactions. Although the model involves only one auto-catalytic path, as distinct from models presented hitherto, a limit-cycle behaviour is found for the concentrations, corresponding to a definite region in the space of controllable parameters. Characteristics of the coherent oscillations are investigated together with the behaviour in the induction period. The critical slowing-down around the onset of instability is shown to behave very much like that found in the equilibrium phase transition. The existence of an "anti-Curie" point is found as well as the Curie point, corresponding to the fact that the domain for sustained oscillation is closed in certain directions. Possible extensions of the model and ways of improving the theory are discussed.