Chemical Oscillations and Instabilities: Non-linear Chemical Kinetics

Paperback | May 24, 1994

byPeter Gray, Stephen K. Scott

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Scientists in many fields are now expressing considerable interest in non-linearity and the ideas of oscillations and chaos. Chemical reactions provide perfect examples of these phenomena, as oscillating reactions, explosions, ignition, travelling waves, patterns, quasiperiodicity, and chaosare all features of chemical kinetics.Now available in paperback, this book introduces non-linear phenomena in chemical kinetics using simple model schemes. These models involve chemical feedback, such as chain branching, autocatalysis, and self-heating. The emphasis is on physical and pictorial representation, and on identifying thosegross features which are essential. The experimental conditions under which such behaviour will occur can be predicted using simple mathematical recipes, and these are also included.The first part of the book begins with a discussion of long-lived oscillations for autocatalytic or exothermic reactions in closed vessels. Stationary states, bistability, and oscillations in continuous flow reactors and diffusion cells are then considered. This is followed by chemical wavepropagation and by pattern selection and oscillations. Complex oscillations, quasiperiodicity, and chemical chaos, either forced or spontaneous, are introduced. Part 2 deals with real experimental systems, describing observed experimental behaviour and its interpretation in terms of the underlyingchemical mechanisms or simplified models. The Belousov-Zhabotinskii reactions is discussed in some detail as the most extensively studied system, and the behaviour of important gas phase reactions is presented.

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Scientists in many fields are now expressing considerable interest in non-linearity and the ideas of oscillations and chaos. Chemical reactions provide perfect examples of these phenomena, as oscillating reactions, explosions, ignition, travelling waves, patterns, quasiperiodicity, and chaosare all features of chemical kinetics.Now ava...

Peter Gray is also Visiting Professor, University of Leeds

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Format:PaperbackDimensions:470 pages, 9.21 × 6.14 × 1.1 inPublished:May 24, 1994Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198558643

ISBN - 13:9780198558644

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Table of Contents

1. IntroductionPart 1: The Techniques2. Oscillations in a closed isothermal system3. Oscillations in a closed isothermal system: mathematical analysis4. Thermokinetic oscillations in a closed system5. Hopf bifurcations, the growth of small oscillations, relaxation oscillations, and excitability6. Autocatalysis in well-stirred open systems: the isothermal CSTR7. Reaction in a non-isothermal CSTR: Stationary states and singularity theory8. Oscillatory behaviour in the isothermal CSTR: autocatalytic systems9. Autocatalytic reactions in plug-flow and diffusion reactors10. Chemical diffusion pattern formation (Turing structures)11. Travelling waves12. Heterogeneous reactions13. Complex oscillations and chemical chaosPart 2: Experiments14. Experimental systems 1: solution-phase reactions15. Experimental systems 2: gas-phase reactionsReferencesIndex

Editorial Reviews

`The authors of this volume ... have taken up the challenge of convincing the working chemist that nonlinear dynamical systems theory can be understood in simple terms, and can help with experimental interpretation. ... There is a great deal of material here, and much of it is very interestingand informative. ... I can recommend the book as an appetiser to anyone wishing to enter the fascinating world of chemical oscillations.'J. Fluid Mech. (1996), vol.314, pp406-410.