Chemical oscillations and instabilities : non-linear chemical kinetics
著者
書誌事項
Chemical oscillations and instabilities : non-linear chemical kinetics
(International series of monographs on chemistry, 21)
Clarendon Press , Oxford University Press, 1990
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
ISBN 9780198556466
内容説明
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. 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. 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 formation.
Heterogeneous reactions are discussed, as they can also exhibit bistability 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 reaction is discussed in some detail as the most extensively studied system, and the behaviour of important gas phase reactions is presented.
目次
- Part 1 The techniques: oscillations in a closed isothermal system
- oscillations in a closed isothermal system - mathematical analysis
- thermokinetic oscillations in a closed system
- Hopf bifurcations, the growth of small oscillations, relaxation, oscillations and excitability
- autocatalysis in well-stirred systems - the isothermal CSTR
- reaction in a non-isothermal CSTR - stationary states and singularity theory
- oscillatory behaviour in the isothermal CSTR - autocatalytic systems
- autocatalytic reactions in plug-flow and diffusion reactors
- chemical diffusion pattern formation (Turing structures)
- travelling waves
- heterogeneous reactions
- complex oscillations and chemical chaos. Part 2 Experiments: experimental systems 1 - solution-phase reactions
- experimental systems 2 - gas-phase reactions.
- 巻冊次
-
: pbk ISBN 9780198558644
内容説明
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.
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.
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.
目次
- 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
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