Oscillatory reactions elementary-step kinetics

The model has acted as a useful stimulus. It is the only oscillatory model involving not more than two intermediates and having elementary reaction steps with only first- or second-order kinetics, and also satisfying sudi basic diranical reasonableness as non-native concentrations. However, a chemically satisfactory identification of X and Y with species known to be involved has never been attained it is now widely recognized that the conservative oscillations, to which this model in its isothermal form corresponds, cannot be the basis for those actually observed. ... 

First elementary reaction steps at an isolated reaction center have been considered and then the increasing complexity of the catalytic stem when several reaction centers operate in parallel and communicate. This situation is common in heterogeneous catalysis. On the isolated reaction center, the key step is the self repair of the weakened or disrupted bonds of the catalyst once the catalytic cycle has been concluded. Catalytic systems which are comprised of autocatalytic elementary reaction steps and communication paths between different reaction centers, mediated through either mass or heat transfer, may show self-organizing features that result in oscillatory kinetics and spatial organization. Theory as well as experiment show that such self-organizing phenomena depend sensitively on the size of the catalytic system. When the system is too small, collective behavior is shut down. 

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