Bimolecular Routes to Cubic Autocatalysis - American Chemical Society

J. Phys. Chem. 1989, 93, 2749-2155

2749

Bimolecular Routes to Cubic Autocatalysis G. B. Cook, P. Gray, D. G. Knapp, and S. K. Scott* Centre for Non-Linear Studies and School of Chemistry, University of Leeds. Leeds LS2 9JT. U.K. (Received: July 13, 1988)

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Isothermal oscillatory behavior may be modeled in a system of only two independent chemical species by involving cubic autocatalysis with catalyst decay: A 2B 3B, rate = k i d 2 ; B C, rate = k26. In an open system this scheme also leads to exotic patterns of multiple stationary states. Cubic autocatalysismay be replaced by pairs of consecutive,second-order reactions. This may be accomplished in several ways, but a third variable is inevitably introduced. We study a trio of schemes: I: A + B F= X (3,-3); B + X 3B (4). 11: 2B * X (3,-3); A + X 3B (4). 111: 2B + X (3,-3); A + X B X (4). In the limit where the complex X is not very stable with respect to its constituents ( ~ , , k ~ / = k -K~