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9780198558644

Chemical Oscillations and Instabilities Non-linear Chemical Kinetics

by ;
  • ISBN13:

    9780198558644

  • ISBN10:

    0198558643

  • Edition: Reprint
  • Format: Paperback
  • Copyright: 1994-06-16
  • Publisher: Clarendon Press

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Summary

Today, scientists in many fields are expressing considerable interest in non-linearity and the ideas of oscillations and chaos. Chemical reactions provide perfect examples of these phenomena. This book is an excellent introduction to the area of nonlinear phenomena in chemical kinetics that 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 behavior will occur can be predicted using simple mathematical recipes, and these are also included. Readers will find full discussions of long-lived oscillations for autocatalytic or exothermic reactions in closed vessels and stationary states, bistability, and oscillations in continuous flow reactors and diffusion cells. Other topics considered include chemical wave propagation, pattern selection and formation, heterogeneous reactions, complex oscillations, quasiperiodicity, and chemical chaos, both forced and spontaneous. The second part of the book describes actual experimental systems, such as the Belousov-Zhabotinskii reaction, and include discussion of the behavior of important gas-phase reactions. This volume is an ideal sourcebook of applied problems for graduate courses in dynamical systems, advanced chemical kinetics, and chemical reactor engineering, as well as for research workers in physical chemistry, and mathematicians, biologists, physicists, and physiologists.

Table of Contents

Introduction
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 Behavior 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
Experiments
Experimental Systems 1: Solution-Phase Reactions
Experimental Systems
Table of Contents provided by Publisher. All Rights Reserved.

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