Modelling cubic autocatalysis by successive bimolecular steps

✍ Scribed by R. Aris; P. Gray; S.K. Scott

• Book ID: 103008128
• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 458 KB
• Volume: 43
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(88)85032-2

✦ Synopsis

The simplest, chemically and thermodynamically satisfactory model of oscillatory behaviour involves only two variables but requires a third-order step: A+2B+ 3B (I) B-C (2) If the third-order step is replaced by consecutive second-order reactions A+B=X (3, -3) X+B+3B (4) then a 3-variable scheme is produced. Oscillatory behaviour and exotic stationary-state patterns of extent of reaction versus flow rate in the simplest of open systems survive. When k,a,/k_, and(k,a,/k_ 3) are both small the 3-variable scheme takes a simple analytical form containing both the 2-variable. cubic case and exnlicit forms for the leading-order corrections. In the limit K = E + 0 the cubic case is left.