Cubic Autocatalysis by Successive Bimolecular Steps

Abstract—The simplest, chemically and thermodynamically satisfactory model of oscillatory behaviour involves only two variables but requires a third-order step [Pg.180]

If the third-order step is replaced by consecutive second-order reactions [Pg.180]

Oscillatory behaviour and exotic stationary-state patterns of extent of reaction versus flow rate in the simplest of open systems survive. [Pg.180]

When k3a(/k-3 and (k i(/k-3) are both small the 3-variable scheme takes a simple analytical form containing both the 2-variable, cubic case and explicit forms for the leading-order corrections. In the limit k = e — 0 the cubic case is left. [Pg.180]

Until recently it was widely accepted that isothermal oscillatory reactions demanded rather complicated interpretations at all levels. It is now known that this is not the case. A simple representation of autocatalysis that has had great impact in recent years on a wide variety of problems, beginning with the CSTR (Gray and Scott, 1983,1984) but now extending to systems with diffusive control (Gray and Scott, 1986 Scott, 1987) and spatial non-unifor- [Pg.180]

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