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Chemical Oscillations and Instabilities : Non-linear Chemical Kinetics - Peter Gray

Chemical Oscillations and Instabilities

Non-linear Chemical Kinetics

Paperback Published: 12th May 1995
ISBN: 9780198558644
Number Of Pages: 472

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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 chaos are all features of chemical kinetics. lt@br/>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 those gross 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. lt@br/>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 wave propagation 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 underlying chemical 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.

`I can recommend the book as an appetiser to anyone wishing to enter the fascinating world of chemical oscillations.' Journal of Fluid Mechanics `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 interesting and 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.

1: Introduction Part 1: The Techniques 2: Oscillations in a closed isothermal system 3: Oscillations in a closed isothermal system: mathematical analysis 4: Thermokinetic oscillations in a closed system 5: Hopf bifurcations, the growth of small oscillations, relaxation oscillations, and excitability 6: Autocatalysis in well-stirred open systems: the isothermal CSTR 7: Reaction in a non-isothermal CSTR: Stationary states and singularity theory 8: Oscillatory behaviour in the isothermal CSTR: autocatalytic systems 9: Autocatalytic reactions in plug-flow and diffusion reactors 10: Chemical diffusion pattern formation (Turing structures) 11: Travelling waves 12: Heterogeneous reactions 13: Complex oscillations and chemical chaos Part 2: Experiments 14: Experimental systems 1: solution-phase reactions 15: Experimental systems 2: gas-phase reactions References Index

ISBN: 9780198558644
ISBN-10: 0198558643
Series: International Series of Monographs on Chemistry
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 472
Published: 12th May 1995
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 2.41
Weight (kg): 0.79