Simplified model for Belousov-Zhabotinsky reaction

Noyes' scheme of the elementary processes for the Belousov-Zhabotinsky reaction has been simplified on the basis of reaction kinetic consideration. The simplest possible analogue (model K) has been described by a set of kinetic equations, and it is solved to examine the varieties of new ordered phases, which include temporal rhythm and spatial pattern. Particular attention has been given to the onset of new phases, which is associated with an anomalous enhancement of fluctuations. A stochastic theory of fluctuations, which was developed in our previous work, has been applied to the present case. Theoretical results compare reasonably well with experimental findings, i.e. with (1) spatial periodic structure and (2) limit cycle behaviour.